text
stringlengths
270
8.19k
meta
dict
/5, -3/5, b Let w be (-24)/(-10) + 0 + -2. Let n = 47.8 + -53. Let y = n + 5. Sort -5/6, y, w in descending order. w, y, -5/6 Let b = 2/7 - 31/84. Put -3, -0.4, b in descending order. b, -0.4, -3 Let x = -1/45405 - 13141/90537570. Let v = x + 173977/2991. Let r = -58 + v. Sort r, 5, 0. 0, r, 5 Suppose 4*q + 5*w + 10 = ...
{ "pile_set_name": "DM Mathematics" }
iple of 15? True Let i(d) = 5*d**2 - 3*d - 4. Let b be i(4). Let t = 38 - b. Let j = -10 - t. Is 16 a factor of j? True Let r be ((-18)/(-5))/((-6)/(-60)). Suppose -4*i + 4*y + r = 0, 5*i + 2*y + 3 = 69. Is 6 a factor of i? True Suppose 0 = 2*y - 0 - 18. Suppose 0*q + y = 3*d + 3*q, -4*d + 12 = -5*q. Suppose a = -4*k +...
{ "pile_set_name": "DM Mathematics" }
v(-5) and z. 9 Let z(i) = i**3 - 2*i. What is the least common multiple of z(2) and 20? 20 Let u(z) = -z + 3. Let i be 2/5 - 8/20. Let w be u(i). Calculate the common denominator of 95/6 and 43/20 - w/(-6). 60 Let n = -4 - -10. Let c = 17 + -1. Calculate the common denominator of 3/2 - 60/c and n. 4 What is the common ...
{ "pile_set_name": "DM Mathematics" }
in -879 + 1889*r**2 - 1889*r**2 + 0*r**3 - 3*r**3. -3*r**3 - 879 Collect the terms in -38*j - 718*j - 451*j. -1207*j Collect the terms in -2*u + 2*u + 980*u**3 - 963*u**3. 17*u**3 Collect the terms in -409*x**2 - 534*x**2 + 945*x**2. 2*x**2 Collect the terms in -43125581*h + 2*h**3 + 43125581*h. 2*h**3 Collect the ter...
{ "pile_set_name": "DM Mathematics" }
1, s, g Let c = 142.61 - 142. Let t = c - 0.01. Let r = t + -0.5. Sort 1, r, -2/17 in descending order. 1, r, -2/17 Let s = -3 - 4. Let u = 5 + s. Sort u, 3/7, 5. u, 3/7, 5 Suppose -w + 6*w = 40. Suppose 4*r - 16 - 1 = 3*a, -2*a + r = w. Suppose -o - 3 - 4 = -5*d, 5*o = 4*d - 14. Put a, o, 3 in decreasing order. 3, o, ...
{ "pile_set_name": "DM Mathematics" }
Let u(r) = r**3 + 15*r**2 + r + 18. Let i be u(-15). Suppose i*k - 86 = -23. Suppose 2*c = -0*m - m + 9, 0 = -3*c - 3*m + k. Solve 0*g - 2*g = c for g. -1 Let i(a) = -183*a + 1481. Let s be i(8). Solve 46*f = -s*f for f. 0 Let q = -15090 - -15096. Solve -46 = 13*p + q for p. -4 Suppose -20*i - 31 + 112 + 159 = 0. Solv...
{ "pile_set_name": "DM Mathematics" }
(f - 1)*(f + 222316) Let 2*k**5/3 - 58*k**4/3 - 496*k**3/3 - 104*k**2 + 288*k = 0. Calculate k. -6, -2, 0, 1, 36 Determine i so that -5*i**3 - 8040*i**2 + 8055*i + 16090 = 0. -1609, -1, 2 Let -16*u**4 - 212*u**3 + 1884*u**2 + 2612*u + 532 = 0. What is u? -19, -1, -1/4, 7 Factor j**3 - 1949*j**2 - 9854*j + 164136. (j - ...
{ "pile_set_name": "DM Mathematics" }
Suppose -3*o - 4*b = b - k, -2*o + b = -6. Suppose 0 = -0*q - o*q + 2235. Is q composite? True Let m(c) = -2383*c - 1656. Is m(-11) prime? False Let z = 17087 - 7436. Is z composite? True Suppose 3051650 = 58*t + 21*t - 2262759. Is t composite? False Let a(g) = g**2 - 5*g + 6 - 2*g**2 - 3 - 17*g**3. Let z = -3997 + 39...
{ "pile_set_name": "DM Mathematics" }
mplify (sqrt(88)/(6*sqrt(44)/sqrt(4)))/((sqrt(4356) + sqrt(4356)*-2)/sqrt(9)). -sqrt(2)/66 Simplify -1*(-2*-6*-1*5*1*sqrt(567))**2. -2041200 Simplify ((1*sqrt(19))**2*-2 - (sqrt(190)*-4)/sqrt(10))*3. -114 + 12*sqrt(19) Simplify (-6*((sqrt(132) - (sqrt(132) + -4*sqrt(132))) + sqrt(132))*-3)/((sqrt(48)/sqrt(72))/sqrt(2))...
{ "pile_set_name": "DM Mathematics" }
ked without replacement from vshovvssovvvvgvvxov? 1/114 What is prob of sequence eenn when four letters picked without replacement from {z: 4, v: 5, n: 2, e: 4, t: 2}? 1/2380 Three letters picked without replacement from {c: 2, y: 1, v: 2, n: 9}. What is prob of sequence vcy? 1/546 Two letters picked without replacemen...
{ "pile_set_name": "DM Mathematics" }
5, 3*n = 3*i - 15. Let p(r) = -6*r + n*r**2 + 5*r - r**2 + 5 - 15. Calculate p(k). -10 Let q be 3/(-1)*(-1)/9*3. Let p(j) = 29*j - 3. Give p(q). 26 Let a = 283 - 248. Suppose 0 = -4*f - 5*k - a, 2*k + 26 = 2*f - 6*f. Let d(p) = p**3 + 5*p**2 - 2*p + 7. Give d(f). 17 Suppose -2*u = -5*z + 46, -3*z - 5*u + 14 = -26. Supp...
{ "pile_set_name": "DM Mathematics" }
se 0*m = 4*m. Suppose 14 = -z + 3*c, -2*z + m*c = 4*c - 22. Determine o*r(i) + z*n(i). i - 2 Let k be 4*3/(-18)*-3. Let h(j) = k + 3 - 3 - j. Let y(c) = -4*c + 9 - 1 + 0*c. Calculate 9*h(z) - 2*y(z). -z + 2 Let y(k) = -3*k**3 - 7*k**2 - 10*k. Let o(s) = -s**3 - 3*s**2 - 5*s. Calculate -7*o(t) + 3*y(t). -2*t**3 + 5*t Le...
{ "pile_set_name": "DM Mathematics" }
t h be (u/10)/((-2)/(-5)). Solve h*b - 3 - 3 = 0 for b. 3 Suppose 3*s + 5*v - v = -76, s - 4*v = -4. Let f = s - -25. Suppose 4*r - f*r = 0. Solve c + c + 10 = r for c. -5 Suppose -4*q + 11 = -5*c - 10, 4*c = -20. Let j be q/3*-21 - -1. Solve -2*o - 2 = -j for o. 3 Let h(a) = 3*a**3 + 22*a**2 - 23*a - 30. Let n be h(-7...
{ "pile_set_name": "DM Mathematics" }
3*i + q = -5*i for i. -4 Let s(q) = -7*q + 117. Let y be s(16). Solve 19 - 9 = -y*a for a. -2 Suppose -4*h + 14 = 3*o, 1 = 4*o + 5*h - 18. Solve -3*v + 6*v - o = 0 for v. 2 Let o be 3 - 0 - (-12)/1. Suppose -10*v + o*v = 60. Solve w - 5*w = v for w. -3 Let m = 31 - 19. Suppose 0 = 2*t + 2*t + 4*q + m, 0 = t + 2*q + 6. ...
{ "pile_set_name": "DM Mathematics" }
t z(b) be the first derivative of 1/3*b**3 - 2 + 3*b + q*b**2. Determine z(-4). 7 Let b be 2 - (-3)/((-9)/(-3)). Let z be b*1*7/(-3). Let s(d) = -7*d + 14. Let g(p) = -2*p + 1. Let w(y) = -4*g(y) + s(y). What is w(z)? 3 Let a(z) = -z + 23. Let n(r) = r**2 + 28*r + 45. Let v be n(-27). Calculate a(v). 5 Let x(r) = -2 - ...
{ "pile_set_name": "DM Mathematics" }
180 - m**5/120 - 9*m**4/8 + m**3/6 - 8*m. Let d(c) be the second derivative of h(c). What is the tens digit of d(8)? 9 Suppose 5*h + 121 = -104. Let c be 18/h - 734/(-10). Let i = -50 + c. What is the tens digit of i? 2 Suppose 32*v - 65040 = 2*v. What is the units digit of v? 8 What is the tens digit of 1/((-4)/8) + 5...
{ "pile_set_name": "DM Mathematics" }
2098 in descending order. 2098, 5, 0 Put -5, 2/7, 53/14, 0.01, 3/2 in descending order. 53/14, 3/2, 2/7, 0.01, -5 Sort -0.5, 0, -322, 56/5 in ascending order. -322, -0.5, 0, 56/5 Sort -4, -1, -2532, 2, 3, -5 in descending order. 3, 2, -1, -4, -5, -2532 Put -42, -3, 2, -2, -25 in decreasing order. 2, -2, -3, -25, -42 Pu...
{ "pile_set_name": "DM Mathematics" }
t g(n) = -n**3 + 6*n**2 + 7*n + 3. Let u(h) = 17 + h**3 - 4*h**3 + 11*h**2 + 11*h - 2*h**3 + 6*h**3. Let q be u(-10). What is g(q)? 3 Let y be 4/(-1) - (3 - 10). Let h be y/(-9) + (-80)/(-15). Suppose -2*p + 2 = v - 2, 2*p = -h*v + 4. Let a(s) = 6*s**2 - 2*s - 1. Determine a(p). 19 Let m(p) = -3*p - 6. Let o(g) = -10*g...
{ "pile_set_name": "DM Mathematics" }
o) = p*a(o) + 12*d(o). Determine t(w(y)). 9*y**4 Let f(z) = 6*z**2. Let a(m) = -4*m + 3*m - 10*m + 0*m. Calculate a(f(o)). -66*o**2 Let q(u) = -u**2. Let z(c) = -21*c - 21. Let r(i) = -10*i - 10. Let f(g) = -5*r(g) + 2*z(g). Determine q(f(d)). -64*d**2 - 128*d - 64 Let q(y) = y**2. Let s(v) = -19084*v. Give q(s(f)). 36...
{ "pile_set_name": "DM Mathematics" }
ive n(m). -2 Let q(w) = -w**2 + 6*w - 6. Let y = -53 - -57. Determine q(y). 2 Suppose -5*v = 0, v - 4*v + 20 = 4*n. Let w = -37 + 38. Let j(o) = -o**3. Let u(y) = -5*y**3 - 4*y**2 - 4*y - 1. Let k(m) = w*u(m) - 6*j(m). Give k(n). 4 Let b be (-2)/(-4) + (-10)/4. Let q be b/(-4) - 17/(-2). Suppose 4*v + q = -7. Let f(w) ...
{ "pile_set_name": "DM Mathematics" }
. Let s = 0 + j. Put s, -0.1, d in descending order. -0.1, s, d Let d(r) = -2*r**2 + r - 9. Let z be d(0). Let n(m) = m**2 + 9*m - 1. Let p be n(z). Put p, 3, -4, 2 in ascending order. -4, p, 2, 3 Let g = -18 - -22. Let q = 15 - g. Let s(f) = f**2 + 7*f + 4. Let m be s(-7). Put q, m, -2 in decreasing order. q, m, -2 Le...
{ "pile_set_name": "DM Mathematics" }
-40)/12*(-12)/10. What is the remainder when 41 is divided by ((-14)/s)/((-5)/30)? 20 Let i(s) be the first derivative of 1/4*s**4 - s**2 + 2 - 2/3*s**3 - 3*s. What is the remainder when i(4) is divided by 12? 9 Suppose -p + 3 = 6. Let v(q) = -q**3 - 2*q**2 + q - 1. Let o be v(p). Let f = o + 57. Calculate the remainde...
{ "pile_set_name": "DM Mathematics" }
cement from kkovvkvvkbvkrkk. 1/15 Three letters picked without replacement from llxflzlzxjnnzzzl. What is prob of picking 1 x and 2 z? 1/28 Calculate prob of picking 2 r and 1 t when three letters picked without replacement from trtrlrt. 9/35 Two letters picked without replacement from mmnumdndmmnd. Give prob of pickin...
{ "pile_set_name": "DM Mathematics" }
-4/13) Simplify ((u*(u**(-7)*u)/u)/(u/(u/(u/((u**(5/6)*u)/u)))))**14 assuming u is positive. u**(-259/3) Simplify ((v**(-1))**(6/17))**28 assuming v is positive. v**(-168/17) Simplify (m**(-1/18)/m)/((m/(m*m**(1/13)))/m)*(m/m**8)/m**(-2/25) assuming m is positive. m**(-40357/5850) Simplify (q*q**(-2/3)*q*q)**(2/7)/(q**...
{ "pile_set_name": "DM Mathematics" }
9. Give f(24). -11 Let g(i) = 7*i**2 + 338*i + 82. What is g(-48)? -14 Let a(n) = -23*n**2 + 5*n + 4. Give a(-1). -24 Let c(o) = 49*o + 18. Calculate c(-2). -80 Let f(o) = -43*o**3 - 224*o**2 - 49*o - 24. Determine f(-5). -4 Let d(x) = -x**3 + 2*x**2 + 20*x - 23. What is d(-6)? 145 Let g(w) = -69*w**3 + 5*w**2 - 7*w + ...
{ "pile_set_name": "DM Mathematics" }
. Determine v(-47). -3 Let d(r) = -9*r + 580. Give d(63). 13 Let f(p) = -p**2 - 265*p + 2183. Give f(8). -1 Let c(x) = 10*x**3 + 34*x**2 - 67*x + 15. Determine c(2). 97 Let l(j) = -4342*j + 221450. Determine l(51). 8 Let w(x) = -252*x - 32760. Give w(-130). 0 Let u(t) = -t**3 - 2*t**2 - 33*t - 99. Calculate u(-3). 9 Le...
{ "pile_set_name": "DM Mathematics" }
r? 557 What is the cube root of 3588430926 to the nearest integer? 1531 What is the fourth root of 177564194 to the nearest integer? 115 What is 14809809 to the power of 1/5, to the nearest integer? 27 What is the third root of 5017540376 to the nearest integer? 1712 What is the third root of 61896961 to the nearest in...
{ "pile_set_name": "DM Mathematics" }
24*z Let r(c) = -c**2 + 2*c - 2. Let u(p) = 3*p**2 - 5*p + 5. Let x(w) = -5*r(w) - 2*u(w). Let f(n) be the first derivative of n**2 + 1. Determine x(f(g)). -4*g**2 Let o be (((-6)/(-9))/(-2))/(-10). Let y(n) be the third derivative of 0*n**4 + 0*n**3 + 0 + 0*n - 2*n**2 + o*n**5. Let z(c) = c. Determine z(y(s)). 2*s**2...
{ "pile_set_name": "DM Mathematics" }
+ 8. Let a be r(-2). Let s be 144 + 2 + -1 + a. Suppose 4*o = 2*b - 444, s = 2*b - 3*o - 300. What is the hundreds digit of b? 2 Suppose t + 2482 = 2*n, 3728 = 3*n + 3*t - 7*t. Suppose 0 = -9*z - n + 7585. What is the units digit of z? 5 Let s(w) = w**2 - 9*w. Let a be s(9). Suppose 2*x + 6*y = 2*y + 174, -3*x - 4*y +...
{ "pile_set_name": "DM Mathematics" }
ve -2*u + 3 = -f - 4, 1 = -f for u. 3 Solve -4*c + 10 = -5*b - 10, 3*c + 5*b = -20 for c. 0 Solve j + 3*n = -0*n - 4, 5*j - 4*n - 18 = 0 for j. 2 Solve 0 = -4*t - 3*b - 1, -t - 306 = -2*b - 292 for t. -4 Solve -4*g - 16 = -4*y, 2*g + 11 = 4*y - 7 for g. 1 Solve 3*j + 2*d + 0*d = 2, 0 = -5*j + d + 25 for j. 4 Solve 2*j ...
{ "pile_set_name": "DM Mathematics" }
). Suppose 74 = -v*o + 23. Sort o, 2, g in increasing order. o, g, 2 Let y = 6732 - 6733. Put y, -235, -2 in decreasing order. y, -2, -235 Suppose 13*r - 80 = -7 - 8. Let x = -40 + 21. Let h = x - -22. Put h, 2, 1, r in decreasing order. r, h, 2, 1 Let h = -422.1 - -430.1. Sort 2/5, 45, h in ascending order. 2/5, h, 45...
{ "pile_set_name": "DM Mathematics" }
, -11725? -11730 What is next in -201, -365, -497, -597, -665, -701, -705? -677 What comes next: -3071, -3095, -3127, -3167, -3215? -3271 What comes next: 2134, 2301, 2462, 2617, 2766? 2909 What comes next: -40, 683, 2634, 6425, 12668? 21975 What comes next: -72877, -72866, -72849, -72826, -72797, -72762, -72721? -7267...
{ "pile_set_name": "DM Mathematics" }
0. Let u = 12 + t. Let p(d) = d**3 - d**2 - d - 3. Give p(u). -3 Let h(n) = -n**3 + 10*n**2 - 9*n - 10. Let j be 4*2 - 3*8/(-24). Calculate h(j). -10 Let u be (892/28 - -4) + 1/7. Let g be 24/u - 20/(-6). Let v(w) = w**3 - 3*w**2 - 4*w - 1. What is v(g)? -1 Let y be 130/35 + 6/21. Let b(t) = t + 2. What is b(y)? 6 Let ...
{ "pile_set_name": "DM Mathematics" }
9 Suppose 0 - 50 = -10*l. Suppose l*p - 2*d = 291, -2*p + 58 + 70 = 5*d. Calculate the remainder when p is divided by 10. 9 Let g be 22/33 - 4/6. Suppose g = -57*r + 42*r + 360. Let c = -5 - -10. What is the remainder when r is divided by c? 4 Let a(j) = j - 16. Let d be a(21). Suppose 15*w + d*w - 320 = 0. Calculate ...
{ "pile_set_name": "DM Mathematics" }
6 - -278) + (3 + 4 - (4 - 2)) -23 Evaluate 9 - (-14 + -2 - (5 + -8)). 22 What is 132 + -143 + (-2 - 0) + -2? -15 Evaluate -18 + (-1 - 7) + -23 + 28 + 11. -10 2 - ((-4 - -5) + (0 - -10 - 5)) -4 What is 5 - (-1 + 7 + -11 + 17)? -7 What is the value of 8 - 1 - (0 - (0 + -6))? 1 What is (-6 - (0 - 7 - (-15 + 13))) + 16? 15...
{ "pile_set_name": "DM Mathematics" }
)*(m**2 + 3*m**5 - m**2). -8*m**5 Expand -3*p**4 + 2*p**4 - 6*p**4 + (p - 3*p + p)*(2*p**3 - 2*p**3 + p**3) - p**4 + p**4 - 3*p**4. -11*p**4 Expand (-1 - 2 + 1)*(-1 + 0 + 0)*(-z**5 - 4*z**5 + 3*z**5). -4*z**5 Expand (-3 + 2 + 3)*(0*j**4 + 4*j**4 - j**4) - 22*j**4 + 22*j**4 - 15*j**4. -9*j**4 Expand -2*b**4 + 0*b**4 + b...
{ "pile_set_name": "DM Mathematics" }
82174 - 2782174. What is v rounded to the nearest 1000000? -1000000 Let l = 0.309 - 130.309. Let v = 2.14 - 124.44. Let n = l - v. Round n to zero dps. -8 Let p = 10 - 8. Suppose -p*l = -l - 130000. Round l to the nearest one hundred thousand. 100000 Let n = 18 - 18.095. What is n rounded to two dps? -0.1 Let v = 8 + -...
{ "pile_set_name": "DM Mathematics" }
8234 = j. What is the tens digit of x? 5 Let y(x) = x**3 - 9*x**2 + 12*x - 20. Let w be y(8). Let a be 3/(13/w + (-7)/21). Suppose 0 = -3*v - 0*v + 5*p + 568, a = 4*p. What is the tens digit of v? 9 Let i(h) = -h**3 - 15*h**2 - 21 + 17*h - 7*h**2 + 9*h**2. Let n be i(-14). What is the tens digit of (n/12 - -4)*-28? 3 S...
{ "pile_set_name": "DM Mathematics" }
e of 211*m**2*n*v - 25*m**2*n + 2*m**2 - n*v - 647*v wrt n. 211*m**2*v - 25*m**2 - v What is the second derivative of 137*o**2*v + 2*o**2 - 2*o - 91*v wrt o? 274*v + 4 What is the second derivative of -184*r**2 + 143*r + 1 wrt r? -368 Find the third derivative of 889*a**3 - 1677*a**2 wrt a. 5334 Find the third derivati...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from nnnpppn? 4/35 Two letters picked without replacement from ppwyj. What is prob of sequence wp? 1/10 Calculate prob of sequence bf when two letters picked without replacement from vfkbvvvfbkvfvkssbk. 1/34 Calculate prob of sequence ui when two letters picked without replacement fro...
{ "pile_set_name": "DM Mathematics" }
nits digit of (70/(-20))/(w/78)? 3 Let y be (-12 + 4)*(-2 - -1). Let i be (-2 - (-2 - y/(-4))) + 5. Suppose -i*l = 101 - 386. What is the tens digit of l? 9 Suppose 15125 = -2*r + 5*k + 93689, 0 = -k - 8. What is the thousands digit of r? 9 Let k = -860 + 28658. What is the hundreds digit of k? 7 Suppose 6*c + 17714 = ...
{ "pile_set_name": "DM Mathematics" }
4)/n)/n**(-1/6) assuming n is positive. n**(14207/120) Simplify ((l/l**(-2/7))/(l*l/(l/l**2)*l))/(((l**(-2/15)/l)/l)/(l**6/l))*(l**(-1/8)*l**(-4)/l)/((l/l**(-2))/(l*l/(l*l/(l**(-2/3)/l)))) assuming l is positive. l**(-4513/840) Simplify (l**(2/5)/l)/(l*l*l/(l*l**1*l))*l**2*l*l*l*l**(1/2)*l*l*l**(-2)*l*l*l**(-3)*l**(2/3...
{ "pile_set_name": "DM Mathematics" }
Simplify (-2*sqrt(180) - sqrt(180))**2 + ((3*sqrt(220))/sqrt(11))**2 + sqrt(20) - (-5 + -5*((1 + sqrt(320))*-3)**2). 722*sqrt(5) + 16250 Simplify -3*(sqrt(175) - sqrt(175)*4*-1) + (2*-5*((sqrt(175) - sqrt(175)*3) + sqrt(175)))**2 + 4. -75*sqrt(7) + 17504 Simplify (((sqrt(330)*-1 + sqrt(330))*-4 - sqrt(330))/(-4*sqrt(4...
{ "pile_set_name": "DM Mathematics" }
5*f + 10*l - 8*l = -21. Let b(t) = -10*t**2 - 465*t - 5290. Let p(r) = -5*r**2 - 233*r - 2645. Let w(q) = f*b(q) + 5*p(q). Factor w(y). 5*(y + 23)**2 Determine w, given that -25/4*w**2 + 70*w - 5/4*w**3 + 75 = 0. -10, -1, 6 Let s(n) be the second derivative of -n**5/60 - 7*n**4/36 + 23*n**3/6 - 39*n**2/2 - 2221*n. Wha...
{ "pile_set_name": "DM Mathematics" }
4*k + 938*k + 130*k**2. -47*k**2 + 942*k Collect the terms in -467887*w**2 + 467887*w**2 + 719*w**3. 719*w**3 Collect the terms in -28969*y**3 + 156 + 14486*y**3 + 14499*y**3 - 78 - 78. 16*y**3 Collect the terms in -37 - 2*l + 4088*l**2 + 36 + 2*l. 4088*l**2 - 1 Collect the terms in -1586*v**2 - 1781*v**2 + 2966*v**2....
{ "pile_set_name": "DM Mathematics" }
)/(-1)*10/m. Suppose -6*a + 3*a + 2*v + 30 = 0, -2*v - 50 = -5*a. What is the greatest common factor of r and a? 10 Suppose 2*d + 0*c + 3*c = 12, -17 = -d + 4*c. Let y = -4 + 9. Suppose y*v - 405 = 3*x, -4*x + 324 = 3*v + v. What is the highest common factor of d and v? 9 Let s(m) = -m**3 + 15*m**2 + 12*m - 24. Let l b...
{ "pile_set_name": "DM Mathematics" }
*a + 7. Let l(v) = -v - 10. Let m be l(-4). Let p(k) = 4*k - 13. Give m*p(t) - 11*z(t). -2*t + 1 Let w(i) = -2*i**2 + 2. Let m(o) = -3*o**2 + 2. Let a = -21 + 30. Let k = -14 + a. Give k*w(t) + 4*m(t). -2*t**2 - 2 Let i(k) = -4*k + 3*k + 3 + k + 4*k. Let v(w) = -10*w - 17. Let h(c) = 5*c + 8. Let r(y) = -9*h(y) - 4*v(y...
{ "pile_set_name": "DM Mathematics" }
Solve -160*m + 2618 = -6*m for m. 17 Solve 52*w - 1391 + 351 = 0 for w. 20 Solve -174*z - 714 = 16*z + 616 for z. -7 Solve 477*l + 817 + 160 = 23 for l. -2 Solve 209*l + 1547 = 141*l + 159*l for l. 17 Solve -182*t + 52*t - 834 = 9*t for t. -6 Solve -16*d + 3 + 3 = -22*d for d. -1 Solve -482982*k = -482971*k - 352 for k...
{ "pile_set_name": "DM Mathematics" }
540 = 5*b + 9*k - 10*k. Let c = b + 3537/5. What is the second smallest value in -16, w, c? w Let y = -280.9 + 268. What is the second biggest value in 1, y, 0.5? 0.5 Suppose -5*k - 37 + 74 = 2*h, 0 = 4*k + 12. Let w = -0.2 + -0.8. What is the second biggest value in 4, h, w? 4 Let m = 9.1795 + -0.1795. Let s = -10.08 ...
{ "pile_set_name": "DM Mathematics" }
(r) be the third derivative of r**2 + 0 + 0*r + 1/24*r**4 - 1/3*r**o + 1/60*r**5. What is u in f(u) = 0? -2, 1 Suppose 7*y = 4 + 10. Suppose -2*n = -y*b - 10 - 12, -4*n + 2*b + 42 = 0. Factor -12*a**3 + 2*a**4 + n + 16*a**2 + 12*a - 11 - 17. 2*(a - 3)**2*(a - 1)*(a + 1) Let y = 3440/3 + -24071/21. Let f(t) be the first...
{ "pile_set_name": "DM Mathematics" }
give f. -25 Rearrange (4*n**2 - 14*n**3 - 3*n**2 + 4*n**3)*(n + n + 0*n) to the form h*n**4 + m*n + x*n**2 + t + z*n**3 and give z. 2 Rearrange -123*f**2 + 123*f**2 + 1 - 2*f**3 to the form p*f + q*f**3 + d*f**2 + s and give q. -2 Express 14*l - 4*l**2 - 14*l + 2*l**2 - 16 in the form b + m*l**2 + k*l and give b. -16 R...
{ "pile_set_name": "DM Mathematics" }
j**3 + j**2 + 2 Let a(c) = 2*c + 2. Let n(q) = q - 1 + 1 + 1. Suppose -3*j - j = 8, 2*b + 4 = 2*j. Let g(h) = -h**2 - 5*h + 2. Let o be g(b). Calculate o*n(t) - 2*a(t). 2*t + 2 Let y(l) = -2*l**3 + 2*l**2 - 9. Let q(i) = 5 + 15*i**2 + i**3 + i**2 - 17*i**2. What is -11*q(f) - 6*y(f)? f**3 - f**2 - 1 Let q(t) = -2*t**3 ...
{ "pile_set_name": "DM Mathematics" }
75, 5, -0.4, -4 Sort 4, 105, -3, 0, 609 in increasing order. -3, 0, 4, 105, 609 Sort -2/5, 4, 1950, 0.4 in decreasing order. 1950, 4, 0.4, -2/5 Put -412, -2/5, -4, -18, -0.3 in increasing order. -412, -18, -4, -2/5, -0.3 Sort 1/59, 0.84, -0.1, 0.3 in ascending order. -0.1, 1/59, 0.3, 0.84 Put 18/53, -5, 2/2147, -0.4 in...
{ "pile_set_name": "DM Mathematics" }
prime factors of q. 7, 29 Suppose 2*m = -2*i + 21100, -3*m + 9516 = 4*i - 32679. What are the prime factors of i? 3, 5, 19, 37 Suppose 2*r - 14 = -f, -11*r = -3*f - 6*r - 13. List the prime factors of (4 - 6)/(f/(-302)). 151 Let i = 44 + -53. Let r = -7 - i. Suppose -4*h = -f + 47, 0*f + h - 130 = -r*f. List the prime ...
{ "pile_set_name": "DM Mathematics" }
terms in -t + 7*t + 3*t + 0*t. 9*t Collect the terms in -2*j + 242451 - 242451 + 0*j. -2*j Collect the terms in 31*h - 51*h + 11*h. -9*h Collect the terms in 2 - 2 + 3*o**2 + 12*o**2. 15*o**2 Collect the terms in -k**3 - 10*k**3 + 16*k**3 - 12*k**3. -7*k**3 Collect the terms in 2*t + 0*t - 4*t + 627. -2*t + 627 Collect...
{ "pile_set_name": "DM Mathematics" }
a(h) = -h**3 - 11*h**2 - 14*h - 2. Determine a(-10). 38 Let l(f) = -f**2 + 10*f + 4. Calculate l(8). 20 Let j(r) = 49*r + 838. Determine j(-17). 5 Let c(k) = k**3 + 4*k**2 - 9*k - 3. What is c(-7)? -87 Let h(q) = 5*q**2 - 6. Give h(4). 74 Let v(u) = -u**3 + 13*u**2 + 4*u - 40. Calculate v(13). 12 Let l(q) = 2*q**2 + 6*...
{ "pile_set_name": "DM Mathematics" }
60))/((4 - 2)/20). Suppose -f*l + 25 + 479 = 0. What is the remainder when 277 is divided by l? 25 Let i(z) = -z**3 + 6*z**2 - 10*z + 8. Let n be i(3). Suppose 2*l - n*y = 49, 3*y = 3*l - 50 - 10. What is the remainder when 67 is divided by l? 16 Let y = 60 + 126. Calculate the remainder when y is divided by 39 + 13/(3...
{ "pile_set_name": "DM Mathematics" }
- o**4 + o**4 - o**5 + (4*o**2 + 2*o**2 - 5*o**2)*(-o**3 + 2*o - 2*o). 1097*o**5 Expand (0*l + 4*l + l)*((1 - 1 + 3)*(0*l + 3*l + 7*l) + 3*l - 2*l - 3*l). 140*l**2 Expand -2*k**3 - 17*k + 17*k + (3*k**2 - 4*k**2 + 4*k**2)*(3*k - 4*k + 2*k) + 9*k - 10*k + k**3 + 6 - 43*k**2 + 42*k**2 + (4 - 4 + 4)*(3*k**2 - k**3 - 3*k**...
{ "pile_set_name": "DM Mathematics" }
94)/(-14) + 1695/(-2373)? 6 What is (-19)/(1520/(-110)) + 6/(-16)? 1 3/(-4)*120/(-54)*6 10 What is 2355/(-1413)*6/(-7)? 10/7 Evaluate (2/(-6) + -4)/((-6)/(-18)). -13 What is (3 + 40/(-2))*(-1 - 0)? 17 Calculate 950/1575 - (-40)/(-45). -2/7 Evaluate (2/126)/(26/674) - (-4257)/(-9933). -2/117 Calculate 4/(-7) + (-71550)/...
{ "pile_set_name": "DM Mathematics" }
u(d). -6 Let h(y) = 4*y - 1. Let w(i) = 4*i - 1. Suppose 3*b - 4 = 11. Let p(a) = b*h(a) - 6*w(a). What is p(-2)? 9 Let v(g) be the second derivative of g**3/6 - 3*g**2 + 3*g. Determine v(5). -1 Suppose -4*v + 3*v = -2. Let c(y) = -y**3 - y. Determine c(v). -10 Let r(q) be the third derivative of q**8/6720 + q**7/420 ...
{ "pile_set_name": "DM Mathematics" }
+ c*o + 6 = 0. List the prime factors of (-4 - o)/((-1)/5). 5 Let y(u) = 13*u + 25. List the prime factors of y(11). 2, 3, 7 Let f be 14 - (2/(-2) + 1). Suppose m + 2*p - f = -3*p, 0 = -p. List the prime factors of m. 2, 7 Let s(k) = 2*k**2 + 4*k + 3. Let o be s(-2). Suppose 5*b + c + o*c - 75 = 0, 1 = -b - 4*c. What ...
{ "pile_set_name": "DM Mathematics" }
t t(l) = -2*l**2 + 8. Let z(b) = 3*q(b) - 5*t(b). Differentiate z(u) wrt u. -4*u Let i(b) = -19*b**5 - 8*b**4 + 8*b**2 + 6*b. Let h(l) = -6*l**5 - 3*l**4 + 3*l**2 + 2*l. Let t(c) = -8*h(c) + 3*i(c). Find the second derivative of t(z) wrt z. -180*z**3 Suppose 8*i - 3*i = -5*p + 10, i - p - 2 = 0. Let s(o) be the first d...
{ "pile_set_name": "DM Mathematics" }
bebqb. What is prob of sequence qr? 1/40 Three letters picked without replacement from {f: 1, p: 6, s: 1, n: 7}. Give prob of sequence pfn. 1/65 Calculate prob of sequence ww when two letters picked without replacement from wknwtbwkbtwnk. 1/13 Two letters picked without replacement from {v: 2, d: 1}. What is prob of se...
{ "pile_set_name": "DM Mathematics" }
of a millennium? 100 What is three fifths of a litre in millilitres? 600 How many minutes are there in eleven quarters of a hour? 165 Convert 5709.363 millilitres to litres. 5.709363 How many nanograms are there in 32/5 of a microgram? 6400 What is 8.710534 days in minutes? 12543.16896 What is 64942.722 seconds in hou...
{ "pile_set_name": "DM Mathematics" }
et j(k) = 5*k**2 - 3*k + 0 + k**2 - 3 - 4*k**3. Let c(y) = r*j(y) + 3*v(y). Factor c(t). -t**2*(t - 3) Let r be 128 + (-5 - (-30)/2). Let y be r/(-23) + (6 - 0). Factor 0 + y*p - 2/3*p**4 - 2*p**2 - 8/3*p**3. -2*p**2*(p + 1)*(p + 3)/3 Let d(v) be the second derivative of -v**6/15 + 6*v**5/5 - 25*v**4/3 + 28*v**3 - 45*v...
{ "pile_set_name": "DM Mathematics" }
-z**5/15 - 6*z**2. Let g(r) be the third derivative of 5*r**4/8 + r**2 - 40*r. Determine g(t(n)). -60*n**2 Let f(a) = -4*a - 7*a + 9*a. Let y(c) = 3532 - c**2 - 3*c**2 - 3542 + 2*c**2. What is y(f(v))? -8*v**2 - 10 Let t(z) = 3*z**2 + 3. Let k(c) = -1. Let j(d) = 3*k(d) + t(d). Let p(r) = 33*r**2 + 24*r**2 - 53*r**2. ...
{ "pile_set_name": "DM Mathematics" }
15 + 43197*t - 1015 - 43191*t. 6*t Collect the terms in -3 + 132*r - 35*r**2 - 26*r**2 + 1 - 218*r**2 - 131*r. -279*r**2 + r - 2 Collect the terms in 8*v - 3419 + 1126 + 2289. 8*v - 4 Collect the terms in 299833*g - 358*g**2 - 299833*g. -358*g**2 Collect the terms in 24137*x**2 - 94055*x**2 - 84681*x**2 - 74815*x**2 + ...
{ "pile_set_name": "DM Mathematics" }
2 - o**3 - 4*o**2 + 2*o**2 + 4. Does 8 divide i(-7)? False Suppose 0 = -u + 2. Let q be (u/(-2))/((-1)/79). Let o = q - 55. Is 15 a factor of o? False Let f = -43 - -89. Is f a multiple of 8? False Let a = -62 + 36. Let c = 40 + a. Is c a multiple of 9? False Is 30 a factor of ((-2)/(-9) - 176/(-18))*12? True Let o = -...
{ "pile_set_name": "DM Mathematics" }
j(h)? 4 Let t = -2306 + 4247. What is the tens digit of t? 4 Suppose 3*d + y = 519, -d - 3*d - 2*y = -690. What is the hundreds digit of d - (4 + -5 + 2)? 1 Let p(a) = -a**3 + 4*a**2 + 6*a - 4. Suppose f - d = -4*d + 35, 0 = 3*f - 4*d - 40. Suppose f = 6*n - n. What is the units digit of p(n)? 0 Suppose -13*z - 5*z = -...
{ "pile_set_name": "DM Mathematics" }
t x = n + -14. What is the second derivative of -k**3 + k**3 + 21*k**4 - x*k - 17*k**4 wrt k? 48*k**2 Let x(z) be the second derivative of -1919*z**6/30 + 319*z**3/6 - 11*z**2/2 - 5259*z. What is the second derivative of x(q) wrt q? -23028*q**2 Suppose 5*c - 50 = 3*i, 1 + 11 = c - i. Find the second derivative of -x**3...
{ "pile_set_name": "DM Mathematics" }
e remainder when 168 is divided by 52? 12 Calculate the remainder when 53 is divided by 10. 3 Calculate the remainder when 290 is divided by 20. 10 Calculate the remainder when 154 is divided by 32. 26 What is the remainder when 1106 is divided by 1070? 36 What is the remainder when 422 is divided by 366? 56 Calculate ...
{ "pile_set_name": "DM Mathematics" }
= -v - 2. What is the tens digit of h(v)? 1 Let p(z) = -z**2 - 6*z - 5. Let s be p(-5). Let c be 3*(-1 + 2) + 0. Suppose -4*d + 29 + c = s. What is the units digit of d? 8 Suppose 5*m - 28 - 17 = 0. Suppose 13*f - m*f - 208 = 0. What is the tens digit of f? 5 Let z(o) = -1 + 1 - o. What is the units digit of z(-7)? 7 ...
{ "pile_set_name": "DM Mathematics" }
plify (n/n**22)**(-1/13) assuming n is positive. n**(21/13) Simplify (f/((f*((f*f**(-2))/f)/f*f*f)/f*f*f)*f**(-2/13))/(f*f**0)**(20/9) assuming f is positive. f**(-278/117) Simplify l**29*l**(4/5) assuming l is positive. l**(149/5) Simplify h**(-9/5)*((h*h**(-1/46))/h)/h assuming h is positive. h**(-649/230) Simplify (...
{ "pile_set_name": "DM Mathematics" }
closest to -1/7? (a) 0 (b) -11 (c) 4 (d) 0.1 a What is the closest to -1/5 in 10, 2, -13, -0.2? -0.2 Which is the nearest to 1? (a) 0.2 (b) -2 (c) 5 (d) 1650 a What is the closest to 0 in 1, -4, 28, 10, 3? 1 Which is the closest to -160? (a) 2 (b) -0.1 (c) 5 (d) -5 (e) -2/13 d What is the nearest to 5/4 i...
{ "pile_set_name": "DM Mathematics" }
t**(-1/4)*t*t)/t)/t)))/(t**5*t**(-2)))/(((t/t**(2/9)*t)/((t*t**1)/t))/(t**(5/6)/t**(-2))) assuming t is positive. t**(209/36) Simplify ((k/(k**4*k))/(k/(k*k/(k/((k/k**(-6))/k)))))/((k**(2/7)*k)/k*k*(k/(k**(1/4)*k))/k*k)*(k*k**(-2))**23*(k*k*k**(1/4)/k*k*k)**25 assuming k is positive. k**(829/14) Simplify (i**2)**(-37)/...
{ "pile_set_name": "DM Mathematics" }
b? 2/5 Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {f: 1, b: 7, a: 3, o: 6}. 7/136 Two letters picked without replacement from rqllqqlqqllqrrlrq. What is prob of picking 2 r? 3/68 Four letters picked without replacement from {f: 3, c: 5, s: 3, u: 5, y: 2}. What is prob of pick...
{ "pile_set_name": "DM Mathematics" }
11*g**2. Let b(h) be the first derivative of r(h). Give q(b(y)). 3200*y**4 Let b(q) = 2363*q. Let r(u) = 87*u**2 + 3. Let a(p) = -115*p**2 - 4. Let t(g) = -3*a(g) - 4*r(g). Determine b(t(m)). -7089*m**2 Let u(n) = -11524*n**2. Let d(l) = 873*l. Calculate u(d(f)). -8782774596*f**2 Let l(f) be the first derivative of 7*f...
{ "pile_set_name": "DM Mathematics" }
hat is k? 0, 2, 35 Determine r so that 3*r**3/4 - 33*r**2/4 + 93*r/4 - 63/4 = 0. 1, 3, 7 Let -3*r**4/11 - 58*r**3/11 - 316*r**2/11 - 342*r/11 - 81/11 = 0. What is r? -9, -1, -1/3 Let -2*g**5/7 - 10*g**4/7 + 12*g**3/7 = 0. Calculate g. -6, 0, 1 Factor c**2 - c - 6. (c - 3)*(c + 2) Determine y, given that 6*y**4 - 44*y**...
{ "pile_set_name": "DM Mathematics" }
18 Let q(n) = -n**3 + 7*n**2 + 6*n - 5. Suppose 11*y = 16*y - 25. Let u be q(y). Calculate the highest common factor of 25 and u. 25 Suppose -3*v - 38 = 1. Let f = v + 28. Suppose 8*d + 105 = f*d. What is the highest common divisor of d and 30? 15 Let b be 285 + 4 + (-14 - -21). What is the highest common factor of b ...
{ "pile_set_name": "DM Mathematics" }
duct of 0.01 and -5? -0.05 What is the product of -1.608 and -0.3? 0.4824 Multiply -0.06 and -62. 3.72 What is 0.25 times 0.049? 0.01225 Work out 7 * 92.6. 648.2 -67*-5 335 Calculate 49*0.06. 2.94 -0.92 * 0.3 -0.276 554*-0.4 -221.6 What is the product of -1 and 57? -57 Work out -0.12 * 0.13. -0.0156 Multiply -47 and 1....
{ "pile_set_name": "DM Mathematics" }
- 490*h What is the first derivative of 45777318*f**4 - 29101583? 183109272*f**3 What is the first derivative of -5*t**4 + 313476*t**2 - 11263668 wrt t? -20*t**3 + 626952*t Differentiate -715460476*f + 578065591 wrt f. -715460476 Find the second derivative of 231168849*z**2 - 246485515*z wrt z. 462337698 Find the secon...
{ "pile_set_name": "DM Mathematics" }
5:12 AM and 1:52 PM? 520 What is 657 minutes before 5:04 AM? 6:07 PM What is 549 minutes after 5:04 AM? 2:13 PM How many minutes are there between 1:40 PM and 6:49 PM? 309 How many minutes are there between 5:29 PM and 10:03 PM? 274 How many minutes are there between 11:53 AM and 7:01 PM? 428 How many minutes are ther...
{ "pile_set_name": "DM Mathematics" }
f - 1293732 = 0. -33, -9, -1 Factor x**2/5 - x/5 - 12/5. (x - 4)*(x + 3)/5 Find i, given that 5*i**5 - 70*i**4 + 360*i**3 - 880*i**2 + 1040*i - 480 = 0. 2, 6 Factor 3*n**4 + 39*n**3 + 141*n**2 + 177*n + 72. 3*(n + 1)**2*(n + 3)*(n + 8) Factor 290*z**2/9 + 32*z/3 - 8/9. 2*(5*z + 2)*(29*z - 2)/9 Let 2*t**3 - 34*t**2 + 12...
{ "pile_set_name": "DM Mathematics" }
(-61 - -65)? -92 Calculate (-9 + 9 - -4) + 2 + -5 - (-71 + 57). 15 Evaluate 2 - 3 - ((-15 + 38 + 19 - 2) + -23). -18 What is the value of 1 + -4 + (14 + -9 - -34) + 87 + -97? 26 What is 48 + (-7 - ((-11 - -2) + (0 - 7))) - -1? 58 (-19 - -46) + -25 + (36 - 1) + -5 + 4 36 Evaluate 28 + 34 + (6 - 88). -20 (-50 + -7 - -8)...
{ "pile_set_name": "DM Mathematics" }
e prime factors of 3963. 3, 1321 What are the prime factors of 1229? 1229 What are the prime factors of 57075? 3, 5, 761 What are the prime factors of 38328? 2, 3, 1597 What are the prime factors of 24656? 2, 23, 67 List the prime factors of 13554. 2, 3, 251 What are the prime factors of 20033? 13, 23, 67 List the prim...
{ "pile_set_name": "DM Mathematics" }
What is the least common multiple of 702 and 11? 7722 Calculate the least common multiple of 441 and 49. 441 Calculate the common denominator of 7/16 and 125/18. 144 What is the common denominator of -99/14 and 41/15008? 15008 Calculate the smallest common multiple of 18 and 182. 1638 What is the lowest common multipl...
{ "pile_set_name": "DM Mathematics" }
). k*(k - 3)*(k - 1)*(k + 1) Let l(g) = -g**2. Let w(v) = -v**3 + 3*v**2 + 5*v + 2 - 5*v**2 + 0 + 2*v**3. Let b(a) = 6*l(a) - w(a). Factor b(y). -(y + 1)**2*(y + 2) Determine j, given that -9/2*j**4 + 0 + 5/2*j**2 - 1/2*j - 3/2*j**3 = 0. -1, 0, 1/3 Let y(b) be the second derivative of 0 + 2/3*b**3 + 3*b + 1/60*b**5 + b...
{ "pile_set_name": "DM Mathematics" }
ivisor of c and 110? 22 Let m = 78 + 26. Let h = m - 94. Calculate the greatest common divisor of h and 50. 10 Suppose l - 658 = -3*z, z + 10*l - 5*l = 210. Calculate the greatest common factor of 20 and z. 20 Let m(r) = -17*r + 34. Let d be m(-6). What is the highest common divisor of d and 24? 8 Let o(d) = -5*d**2 - ...
{ "pile_set_name": "DM Mathematics" }
/8. Let w = r + 13. Calculate the remainder when z(2) is divided by w. 1 Let o = -28 - -47. What is the remainder when 56 is divided by o? 18 Let j = -39 + 70. What is the remainder when 121 is divided by j? 28 Suppose 0*a = -5*a + 20, 0 = -4*l + 4*a + 16. Calculate the remainder when 21 is divided by l. 5 Let o be ((-...
{ "pile_set_name": "DM Mathematics" }
nd give o. 824 Rearrange -10*n**4 + 3*n**4 - 2*n**2 - 3*n**3 - 23*n**4 to the form l*n**2 + o*n**4 + g + c*n + v*n**3 and give o. -30 Express 16*s**3 + 4*s**2 - 1 - 7*s**2 + 2*s - 15*s**3 as i*s + w*s**3 + u + p*s**2 and give i. 2 Express (-4*u - 2 + 0*u + u)*(-57*u**2 - 2 + 14*u**2 - 7*u**2 + 2*u) as a + f*u**3 + w*u*...
{ "pile_set_name": "DM Mathematics" }
788*i for i. 4 Solve -8*b - 3*v + 19 = -7*b, -2*v + 30 = 5*b for b. 4 Solve -4*t + 21*s = 20*s, 0*t + 4*s = -2*t for t. 0 Solve 11*w = u + 39, 20 = -4*w + 5*u + 11 for w. 4 Solve 7*c - 5*x - 15 = 0, 5*x - 7 = c + 8 for c. 5 Solve 0 = -n + 2*u - 1, -41*u - 21 = -5*n - 44*u for n. 3 Solve 38*x + 3*i + 68 = 43*x, -60 = -5...
{ "pile_set_name": "DM Mathematics" }
0 Which is the closest to 7? (a) -1.282 (b) -2/3 (c) -1 (d) -2/21 d Which is the nearest to -4/9? (a) -2/13 (b) 5 (c) -4925 (d) -4 (e) -0.2 e What is the closest to 1 in -69, 3, -5, 12, 0.4? 0.4 Which is the closest to 58? (a) -10 (b) 4 (c) -1/5 b Which is the closest to -0.79? (a) 320 (b) 0.2 (c) -0.3 c...
{ "pile_set_name": "DM Mathematics" }
c) -1 c What is the nearest to 0.1 in -1, 15/16, 0.4? 0.4 Which is the nearest to -2/55? (a) 2 (b) -8 (c) -2 (d) 0.5 d Which is the nearest to -0.1? (a) 78 (b) -1/9 (c) -4/3 (d) -2 b What is the nearest to 0.4 in 4, 10, -3, -0.5? -0.5 What is the closest to 1 in -1/7, -11, -4/3? -1/7 What is the closest to 4/5 ...
{ "pile_set_name": "DM Mathematics" }
on multiple of o and 7? 56 Let c = 887 + 3961. Calculate the least common multiple of c and 16. 4848 Let x = 2123/40 - 523/8. Calculate the common denominator of x and -71/10. 10 Suppose -5*m + 21 + 14 = 0. Let i be m/2 + 18/36. Suppose -i*n - 2*r + 63 + 45 = 0, -n = -3*r - 34. What is the least common multiple of n an...
{ "pile_set_name": "DM Mathematics" }
. 6 Calculate the remainder when 240245 is divided by 6861. 110 What is the remainder when 70853 is divided by 6349? 1014 Calculate the remainder when 51645762 is divided by 51645760. 2 What is the remainder when 212264848 is divided by 21? 19 Calculate the remainder when 55816872 is divided by 3928. 3920 What is the r...
{ "pile_set_name": "DM Mathematics" }
*d Collect the terms in 339*b**3 + 395*b**3 + 2870*b**3 + 24*b**2 - 9*b**2 - 12*b**2. 3604*b**3 + 3*b**2 Collect the terms in -157*o**3 - 96*o**3 + 2*o**2 + 494*o**3 - 167*o**3. 74*o**3 + 2*o**2 Collect the terms in -484*h**3 - 65*h + 231*h**3 + 222*h**3. -31*h**3 - 65*h Collect the terms in 4 - 6 - 12*q**2 + 202*q**2 ...
{ "pile_set_name": "DM Mathematics" }
3364, 4416? 5468 What is next in 16182, 16178, 16174? 16170 What is next in 2173, 2100, 2025, 1948? 1869 What is next in -126, -306, -516, -756, -1026? -1326 What is the next term in 12014, 24037, 36060, 48083? 60106 What comes next: -716, -687, -674, -683, -720, -791, -902, -1059? -1268 What is the next term in 181, 1...
{ "pile_set_name": "DM Mathematics" }
ve h(b(u)). -u**4 Let f(x) = -5*x**2. Let c(u) be the first derivative of 2*u**2 - 74. Give c(f(v)). -20*v**2 Let b(i) = -5 - 5 - 312*i + 10. Let k(q) = -2*q**2. Calculate k(b(j)). -194688*j**2 Let l(y) be the third derivative of -16*y**5/15 - y**3/3 + 413*y**2 + 2*y. Let x(u) = -7*u. What is x(l(q))? 448*q**2 + 14 Let...
{ "pile_set_name": "DM Mathematics" }
mmon multiple of 695 and 155. 21545 Calculate the common denominator of -107/276 and -55/56. 3864 Calculate the common denominator of -121/18 and 37/423. 846 Calculate the smallest common multiple of 21 and 2826. 19782 Calculate the smallest common multiple of 46 and 667. 1334 What is the smallest common multiple of 25...
{ "pile_set_name": "DM Mathematics" }
+ 20) - -14 -1 (-88 - -16) + 90 + -49 -31 Calculate 0 + -67 + -158 + 315 + -148. -58 What is 18 + -4 - (-62 + 37 + -11)? 50 What is the value of 77 - (92 + -181 + 217)? -51 10 + (-4 - (-44 - -13)) + 5 - 11 31 Calculate (-3 - (-48 + 70 + -37 + 1 + -3)) + -115. -101 Evaluate -3 + 1 + (9 - 5) - (235 - 161). -72 What is th...
{ "pile_set_name": "DM Mathematics" }