text stringlengths 270 8.19k | meta dict |
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. Let a(r) = 6*r. Let v be a(-1). Let u be k(v). Suppose -2*i + u*i + 3380 = 0. Round i to the nearest one hundred.
-1700
Let g = 1865 - 1860.776. What is g rounded to 1 decimal place?
4.2
Let b be 1241419/(-106) - 3/(-2). Round b to the nearest one hundred.
-11700
Let t = 53.888937 + -26.88896. Let a = -27 + t. Round a to five decimal places.
-0.00002
Let n = 215266354 + -215266166.999642. Let c = n - 187. Round c to 5 dps.
0.00036
Let z be 14 - 12 - 2/1. Suppose -4*c + 5*t - 2952010 = z, -1475998 = 2*c - 6*t + 7*t. What is c rounded to the nearest one hundred thousand?
-700000
Let u = 0.105 + -75.105. Let n = u - -75.087. Round n to 2 decimal places.
0.09
Suppose -4*j + 17 - 13 = 0. Let t be 375*10/(-15)*14*j. What is t rounded to the nearest one thousand?
-4000
Let z = 30.92 + -31. Let t = z - -0.094. What is t rounded to two dps?
0.01
Let r be -6*3/(-9) - (-3 - -12). Let j(g) = 74*g**2 + 5*g + 29. Let q be j(r). Round q to the nearest 1000.
4000
Let l = 102.9 + -101.056. What is l rounded to the nearest integer?
2
Suppose 5*i - 58120 = 2*k, -2*i + 3*k + 27645 = 4397. What is i rounded to the nearest one thousand?
12000
Let t = 0.213 + -0.18. Let k = 0.0330059 - t. What is k rounded to 6 decimal places?
0.000006
Let w(k) = -1494*k**2 - 12*k - 78. Let o be w(-7). Round o to the nearest 1000.
-73000
Let d = -78 - -213. Let c = -134.889 + d. Round c to two decimal places.
0.11
Let b = 0.2949686 + -0.295. Round b to six decimal places.
-0.000031
Let r = 19.46 - 0.46. Let t = r - -7.6. Let m = 26.59887 - t. What is m rounded to four decimal places?
-0.0011
Suppose q = -14*d + 19*d - 8720003, 2*q - 8719994 = -5*d. What is d rounded to the nearest one million?
2000000
Let d = 23 - 23.00175. What is d rounded to four decimal places?
-0.0018
Let k = -12.78148 + 12.72. What is k rounded to 2 decimal places?
-0.06
Let r = -1.7 + 51.6. Let b = 75 + -27. Let c = b - r. Round c to 0 decimal places.
-2
Let x = -0.36 - -0.96. Let c = x - 7.3. What is c rounded to the nearest integer?
-7
Suppose 0 = -a, 0*v - 12 = -4*v - 3*a. Suppose 253000 = -v*q + 4*q. Round q to the nearest 10000.
250000
Let r = -77.6 + 77.6001291. Round r to six decimal places.
0.000129
Let c = -24 - -23.87. Let g = -0.88 - c. Round g to 1 dp.
-0.8
Let s = 2 - 11. Let x be 2/6 + (-99177)/s. Suppose -5*i = -4*j + x, -4*i = -2*i + 2*j + 4390. Round i to the nearest one thousand.
-2000
Suppose 5*g - 9891 + 59986 = 0. Let x = -64381 - g. Let u = x - 62638. Round u to the nearest 10000.
-120000
Let y = 0.0613 - 4.9513. Let c = -4.89000327 - y. Round c to 7 dps.
-0.0000033
Let l = 86.4795 + -0.1795. Round l to the nearest 10.
90
Let v = -2.7 - 15.3. Let f = v - -17.99997. What is f rounded to 4 decimal places?
0
Suppose -5*x - 15 - 25 = 0. Let c(y) = 1886*y - 12. Let v be c(x). Round v to the nearest one thousand.
-15000
Let r = -3491.4 + 2608. Round r to the nearest one hundred.
-900
Let d = 1815 + -1807.448. Round d to zero dps.
8
Let d(w) = -4*w**3 - w**2 + 1. Let c be d(-1). Let n be 1 + (-2 - -4505) + -4. Suppose f - n = -c*f. What is f rounded to the nearest one thousand?
1000
Let t = -0.0251331 - -0.02491. What is t rounded to 5 decimal places?
-0.00022
Let j = -6266 - -6205.42. Round j to the nearest integer.
-61
Let r(s) = s**3 + 7*s**2 + 6*s + 8. Let c be r(-6). Let q(g) = -4807*g + 6. Let b be q(c). Let y = 21350 + b. Round y to the nearest one thousand.
-17000
Let c = 0.15 + 0.3. Let l = c + -0.37. What is l rounded to one decimal place?
0.1
Let i = -38.22928 + 4.22268. Let j = -34 - i. Round j to three dps.
0.007
Let y = 61605 - 8795. Round y to the nearest 1000.
53000
Let c = -33 - -45. Let o be (-183999998)/(-8) - (c/16 - 1). Round o to the nearest one million.
23000000
Let z = -33.583 - 0.317. Let v = -3.9 - z. Let x = -29.9999905 + v. What is x rounded to six decimal places?
0.00001
Let d be (2/(-4))/((-3)/(-78)). Let z = d - -17. Suppose 0 = -z*f + 8, -4*f + 24002 = 4*k - 3*f. Round k to the nearest ten thousand.
10000
Let u = 6616.0004843 - 6616. Round u to 4 dps.
0.0005
Let o = 4.41 - 4.5048. What is o rounded to 3 dps?
-0.095
Let s = 467 + -219. Let t = 248.636 - s. Round t to two decimal places.
0.64
Let c be -2502003*(42/(-9))/7 - 2. Let l be (c/14)/(9 - (-2198)/(-245)). What is l rounded to the nearest one million?
4000000
Let i = 532 + -915. Let m = i + 161. What is m rounded to the nearest ten?
-220
Let p = 16 - 12.6. Let j = p + -3.3918. What is j rounded to 3 dps?
0.008
Let p be ((-16)/(-6))/(4/6). Suppose 0 = 4*q + s + 9240, -4*q - 9240 = -p*s - s. What is q rounded to the nearest one hundred?
-2300
Let p = -47.99999976 + 48. What is p rounded to seven dps?
0.0000002
Let f = 2.47 - 2.4. Let g = f + -0.025. What is g rounded to two dps?
0.05
Let n = -5.93 - -5.9299613. Round n to five decimal places.
-0.00004
Let n = -179.141 - -0.141. Let c = -177.93768 + 0.42768. Let p = c - n. Round p to one decimal place.
1.5
Suppose -5*b + 284290 = a, 421554 + 147044 = 2*a + b. Round a to the nearest ten thousand.
280000
Let t = 79.001 + -0.001. Let y = 79.0000178 - t. Round y to 6 decimal places.
0.000018
Let i = -41569.117 + 41373. Let b = -344 - -148. Let j = b - i. What is j rounded to two decimal places?
0.12
Let j be ((-1)/(-4) - 2/8)/2. Let d be -149 + (-4 - j) + (-3 - -4). What is d rounded to the nearest ten?
-150
Let x = -35.017 - -35. Let l = x + 0.0228. What is l rounded to 3 dps?
0.006
Let w = -0.315 - 352.685. Let p = w + 480.9. Let u = p + -123. What is u rounded to the nearest integer?
5
Let x = 13 + -11.5. Let c = 1.653825 - 0.15382. Let s = c - x. Round s to 5 decimal places.
0.00001
Let u(p) = 34*p. Let z be u(6). Let w = z + 2025. Let k = 681 + w. Round k to the nearest one hundred.
2900
Let g(p) = -711001*p**2 - 2*p + 3. Let s be g(1). Round s to the nearest ten thousand.
-710000
Let u be 1 + (0 + -2 - 20/(-5)). Let z be (-2)/(-7) + u/(105/(-10)). Round z to three decimal places.
0
Let x = -8 + 7.74. Let c = -0.02 + x. Let s = 0.2775 + c. What is s rounded to three decimal places?
-0.003
Let l = 58598 - 58598.0000024909. What is l rounded to 7 decimal places?
-0.0000025
Let c = -7164 - -7163.96249. What is c rounded to two dps?
-0.04
Let n = 10781 - 10781.0000007789. What is n rounded to 7 dps?
-0.0000008
Let f = 2117.99998631 - 2118. Round f to 6 decimal places.
-0.000014
Let x = -0.1067 - -0.1067156. What is x rounded to five decimal places?
0.00002
Suppose 24*i = 9*i + 75. Suppose -624 = -3*a - 3*t, -405 = -i*a - 2*t + 626. What is a rounded to the nearest 10?
210
Let c(i) = -38*i**2 - 28*i - 26. Let h be c(-19). Let m = -84788 + h. Round m to the nearest ten thousand.
-100000
Let i = 13064 + 334617. Suppose 3693 = -2*o + i. Suppose -2*r = -4*t + o, 6*r = -3*t + r + 129015. What is t rounded to the nearest ten thousand?
40000
Let j = -30369 - -30366.2262. Let b = 0.5548 + j. Let c = b - 0.571. Round c to one decimal place.
-2.8
Let o = 58.5 - 58.2864. Let z = 0.22 - o. Round z to 3 decimal places.
0.006
Let c = -326542.7899972 + 326543. Let v = -0.21 + c. Round v to 6 decimal places.
0.000003
Let w = -72.028 + 0.028. Let z = w - -71.959. Let a = z - -0.04. Round a to 3 dps.
-0.001
Let p = 2887751 + -2887757.9999979. Let a = 7.4 + -0.4. Let s = p + a. What is s rounded to 6 dps?
0.000002
Suppose 7*w = -5*f + 4*w + 42, 0 = -2*f - 2*w + 16. Suppose -f*u + 15930 = -6*u. What is u rounded to the nearest 1000?
5000
Let s = -670.92 + 1191.55. Let w = s - 461.684. Let v = w + -59. Round v to 2 decimal places.
-0.05
Let t = -184 - -297. Let h = t + -23. Let j = h + -89.26. What is j rounded to one decimal place?
0.7
Let z = 0.0674641 - 0.0675. What is z rounded to 5 decimal places?
-0.00004
Let f = -9.7408782 + 20.61821694. Let t = -88.87733444 + f. Let p = t + 78. Round p to 6 decimal places.
0.000004
Let p = 13977.3950948406 + 2.0509481594. Let z = p + -13993.446. Let x = 14 + z. Round x to 5 dps.
0.00004
Let w be -6662*(-6)/(60/(-13955)). Let n = 6416821 + w. Round n to the nearest one hundred thousand.
-2900000
Let i = -61687.86863 - -61687. Let k = -0.13145 + i. Let c = 1 + k. Round c to 4 decimal places.
-0.0001
Let q = -2626.555 + 2629. Round q to one dp.
2.4
Let v(m) = 4*m - 5. Let j be v(6). Suppose 0 = -5*z + j - 9. Let o be -458 - (z + -1) - 1. R | {
"pile_set_name": "DM Mathematics"
} |
-0.05, -2/3
Let g = -74.5 + 75. Let u = -0.3 - -0.1. Sort u, 2, g.
u, g, 2
Let c = 5.8 + -0.8. Let q = 9 - 9.5. Put c, q, 1 in descending order.
c, 1, q
Let l = -0.41 + 0.11. Put l, 1/2, 0, 4 in decreasing order.
4, 1/2, 0, l
Let t be 4/36 + 107/9. Sort 0.4, -3, t.
-3, 0.4, t
Let g(i) = i**2 + 9*i + 19. Let k be g(-6). Sort k, 4, 5 in descending order.
5, 4, k
Suppose -21 = -3*t - 12. Sort -4, -3, t.
-4, -3, t
Let s(b) = b**2 - 6*b - 1. Let m be s(6). Sort 1/12, -4, m in increasing order.
-4, m, 1/12
Let l = 38 - 35. Sort l, 1/4, -0.5 in ascending order.
-0.5, 1/4, l
Let d(c) = c**2 + 5*c - 7. Let a be (-198)/30 - (-6)/10. Let v be d(a). Suppose -15 = -5*y - u, -y + 5*u = -2*y - 21. Sort 2, y, v in ascending order.
v, 2, y
Let d = 18 + -10. Let y = -7.01 + 0.01. Let z = d + y. Put -0.4, 5, z in ascending order.
-0.4, z, 5
Let u(g) = 4*g + 1. Let v be u(-1). Suppose -5*l + 3 = -2. Let i be l - (-1 + (-8)/(-6)). Sort v, i, 5.
v, i, 5
Let u be (-58)/(-18) + (-2)/9. Let b = u + -1. Sort -2, b, 1 in decreasing order.
b, 1, -2
Let q = -163 - -159. Suppose -5*g = -0*g - 15. Sort g, 5, q.
q, g, 5
Let l = 9.32 + -0.32. Sort -0.3, -5, l in decreasing order.
l, -0.3, -5
Let z = -49.7 + 50. Sort 5, z, -0.3.
-0.3, z, 5
Suppose 0 = -0*h - h - 3. Sort -5, h, 2 in descending order.
2, h, -5
Suppose 0 = -2*m + 5*y - 3*y, 5*m = -3*y + 40. Let z = -0.06 - 0.14. Put z, m, -1 in increasing order.
-1, z, m
Let q be (-4 + (-11)/(-2))/((-3)/6). Sort -4, q, -5, -2.
-5, -4, q, -2
Let a = -0.4 - -1.2. Let t = 1.8 - a. Sort t, -0.16, -0.3 in decreasing order.
t, -0.16, -0.3
Let t = 0.22 + -1.22. Sort t, 1/6, 5/4 in increasing order.
t, 1/6, 5/4
Suppose 8 + 7 = 3*g, 11 = -t + 2*g. Suppose -4*k = y - 4, -y - 4 + 8 = k. Let p = -2 + -3. Put y, p, t in descending order.
y, t, p
Let w = 1/3 + -1/12. Sort w, 1/8, -5 in ascending order.
-5, 1/8, w
Let y(b) = -2*b. Let t be y(1). Let w be -4*1*(-1 - t). Sort 4, -3, w in increasing order.
w, -3, 4
Let i be 3*10/525*10. Suppose 4*b - 3*t + 14 = -6*t, -3*b + 2*t = 19. Put 1, b, i in ascending order.
b, i, 1
Let r(d) = d**3 - 8*d**2 - 18*d - 17. Let t be r(10). Let m(n) = n - 3. Let q be m(3). Put t, q, -2 in descending order.
t, q, -2
Let o(p) = -p**3 + 3*p**2 - p + 1. Let h be o(2). Suppose v + 6 = -8. Let z = v + 10. Sort -3, h, z in decreasing order.
h, -3, z
Let o be 6/8 - 110/40. Sort -3, 0, o.
-3, o, 0
Let o = -0.1 - 0.4. Sort o, 4, -2.
-2, o, 4
Let u(r) = -r + r - 11 - 2*r + r. Let z be u(-6). Suppose -5*o + 0*o + 15 = 0. Sort -3, z, o.
z, -3, o
Let s be (-6)/(-4)*12/72. Sort s, -2, -0.5.
-2, -0.5, s
Let w be -5*(-3)/75 + 273/(-15). Put -2/3, w, -0.2 in decreasing order.
-0.2, -2/3, w
Let w = 0.3 + -0.1. Suppose 2*b - 9 - 11 = 4*o, -o = -4*b - 2. Let y = o - -7. Sort y, -5, w in descending order.
y, w, -5
Let u = -0.15 + -4.35. Let n = -0.03 + 4.03. Let j = u + n. Sort 4, 5, j in descending order.
5, 4, j
Suppose 5*b + o - 8 = 0, 0 = b - 4*b + 4*o + 14. Sort b, 3, 5 in decreasing order.
5, 3, b
Let z be (-2)/(-5) - 1359/(-15). Let u be ((-127)/(-14))/1*-10. Let c = u + z. Sort c, 2/13, 5 in ascending order.
2/13, c, 5
Let j = 0.04 + -0.84. Let i = 0.8 + j. Sort i, -0.2, 0.3.
-0.2, i, 0.3
Suppose 0 = 3*f - 3*b + 18, 0 = 5*f - 3*f - 3*b + 16. Let c be 198/(-63) - (f - 1). Put -0.3, c, 2 in descending order.
2, c, -0.3
Suppose 5*g + 2 = -5*j + 6*g, -3*j = 3*g + 12. Sort 12, -4, j in descending order.
12, j, -4
Suppose 0 = 2*k + 4*k - 18. Sort -4, -1, k, 2 in decreasing order.
k, 2, -1, -4
Let g = 18 - 22. Sort g, -10, -0.3 in decreasing order.
-0.3, g, -10
Let u = 28.8 + -29. Let m be (3/10*-2)/1. Put -0.5, m, u in decreasing order.
u, -0.5, m
Suppose 3*t - 3*m + 3 = 0, -5*t = 2*m - 0 - 16. Let w = 15 - 3. Suppose 0 = -2*o - 2*c - 12, -4*o + w = -2*o - 4*c. Sort t, o, -4.
-4, o, t
Let r = 7 - 5. Let v = -0.4 + 0.5. Let a = v - 0. Sort r, 1, a in ascending order.
a, 1, r
Suppose 4*k - 32 = -4*t, -3*k + k = 5*t - 31. Let n be k + (-7)/(42/20). Put -2, 0.2, n in descending order.
0.2, n, -2
Let j be 1*((-23)/66 + (-12)/(-66)). Sort j, 2, -0.1, 5 in descending order.
5, 2, -0.1, j
Let m = 8.8 - 8.9. Put -0.7, -5, m in decreasing order.
m, -0.7, -5
Let z = 8 + -6. Let a = -1 + 1. Suppose -5*v - 10 + 5 = a. Put z, -5, v in increasing order.
-5, v, z
Let x = 0 - 1. Let u = 1.6 - -3.2. Let c = -5 + u. Sort 0.4, x, c.
x, c, 0.4
Let y = 5.199 - 0.199. Suppose 0*f = -2*f - 2. Sort 3, y, f in increasing order.
f, 3, y
Let o = 2 + 11. Let f = o - 8. Sort 1/6, f, -3 in ascending order.
-3, 1/6, f
Suppose 10 + 2 = 4*i. Suppose 4*b = -8*z + i*z + 10, 2*b = -z + 8. Suppose -p = -0*u - u - 2, 4*u + b = p. Sort 2, p, -5 in ascending order.
-5, p, 2
Let l = 15 + -16. Sort l, 0, 0.06.
l, 0, 0.06
Let g(x) = 11*x**2 - 6*x - 13. Let a(i) = 5*i**2 - 3*i - 6. Let w(m) = -13*a(m) + 6*g(m). Let u be w(-4). Sort -2, u, 0.3 in descending order.
u, 0.3, -2
Let l(v) = v**2 + v - 40. Let q be l(-7). Sort q, 0, -5, -2.
-5, -2, 0, q
Let v = 19.5 + -16. Let r = 4 - v. Let l = -0.08 - 3.92. Sort r, -1/3, l in decreasing order.
r, -1/3, l
Let p be 10/(-6)*(-152)/(-20). Let l(s) = s**3 - 4*s**2 - 2*s - 5. Let i be l(4). Let d = p - i. Sort -0.4, 0.3, d in increasing order.
-0.4, 0.3, d
Let v = 0 - 1. Let f = -4.2 + 4. Put f, v, 0.3 in decreasing order.
0.3, f, v
Let b = 29 + -29. Sort -2, b, -1 in decreasing order.
b, -1, -2
Let v(c) = c**2 - 11*c + 13. Let h be v(10). Put -5, 1, h in decreasing order.
h, 1, -5
Let c(s) be the third derivative of -s**4/24 - 2*s**3 + s**2. Let q be c(-9). Let t = q + 7. Put -5, t, -3 in descending order.
t, -3, -5
Let t be ((-4)/5)/((-9)/5). Let m = -46 - -46. Sort m, t, -1.
-1, m, t
Let l be (21/(-28))/((-20)/(-46)). Let y = -9/8 - l. Sort 1, y, 0.4 in decreasing order.
1, y, 0.4
Let f be 13/(-35) - 12/126*-6. Let n = 0.2 - 0.1. Put n, 0.4, f in descending order.
0.4, f, n
Let k = 2 - 2. Let f be k + (-5)/((-45)/(-12)). Let d = 8 - 5. Put 4, f, d in descending order.
4, d, f
Let u be (-241)/(-9) + (-10)/(-45). Suppose -4*c - u - 1 = 4*v, 4*v + 22 = -c. Put 1/11, v, -3 in descending order.
1/11, -3, v
Let j = 3037/9 - 337. Sort 1, j, -5 in decreasing order.
1, j, -5
Let s be ((-12)/(-8))/(6/8). Suppose -3*b + 5 = -3*k + 17, -4*k + 16 = 3*b. Let j(i) = i**2 - 3*i - 3. Let a be j(3). Put b, s, a in ascending order.
a, b, s
Suppose 0 = 4*j - k - 4 - 0, 5 = 5*j - 2*k. Let x = -3 - -5. Suppose 0 = 5*w - 4*y + 45, 0 = 4*w - x*y + 36 - 6. Sort j, 3, w in decreasing order.
3, j, w
Let t(d) = -d - 21. Let w be t(-17). Sort -3/5, 2/5, w, -5 in increasing order.
-5, w, -3/5, 2/5
Let f = -16 - -15. Let q = f - -0.9. Let i be (-1)/(1*(-2 + 0)). Sort i, 1, q in increasing order.
q, i, 1
Let l be 12/(-4) - (1 - 1). Let k(t) = 2*t**3 + 6*t**2 - 7*t - 1. Let g be k(-4). Sort l, 0, g in increasing order.
g, l, 0
Let j = -9 + 6. Let n be (-18)/(-4) - (-9)/(-6). Put j, n, 5 in descending order.
5, n, j
Let s = 0 + 2. Suppose -s*k - 2 + 8 = 0. Put -3, k, 2 in ascending order.
-3, 2, k
Let s = -7.5 + -0.5. Sort 0.3, -3, -4, s in decreasing order.
0.3, -3, -4, s
Let f = -4.7 - -4.7. Sort 0.8, -3, 4, f in increasing order.
-3, f, 0.8, 4
Suppose 6*t + 3*w + 15 = 3*t, -4*w + 7 = -5*t. Put 3/4, -19, t in descending order.
3/4, t, -19
Suppose 0 = -8*p - 14 - 10. Put -5, -2, p, 4 in ascending order.
-5, p, -2, 4
Suppose -3*o - 2 = -2*w, 0 = w + 2*o + o + 17. Put -1, w, 2 in descending order.
2, -1, w
Suppose -2*b = -4 - 0. Let m(n) = -n**2 + 9*n - 15. Let a be m(5). Sort a, 1, b in increasing order.
1, b, a
Let w = -783/8 + 98. Let j = 3/8 + w. Put j, -5, 0.1 in descending order.
j, 0.1, -5
Let g(u) = -u**3 - u**2. Let x be g(-2). Let z(l) = -l + 4. Let v be z(x). Sort -3, v, -4 in increasing order.
-4, -3, v
Let y = -6 + 6. Let n be y + (0 - (1 - 3)). Put n, 3, -3 in descending order.
3, n, -3
Suppose p + 4*p - 15 = 0. Suppose -p = -s + 1. Suppose -2 = 4*k + 2*t - 4*t, 5*t - 5 = 2*k. Put s, k, 1 in decreasing order.
s, 1, k
Let y = 49 - 50. Sort y, -5, -4, 4.
-5, -4, y, 4
Suppose 2*v = n + 7 - 1, -v = 2. Let f be (-2)/n - 105/25. Let c be (0 - f)*(2 + -1). Sort -2, -5, c in ascending order.
-5, -2, c
Let i = -0.43 + 0.23. Put i, 0.05, -1, 3 in ascending order.
-1, i, 0.05, 3
Suppose 45 = 5*j + 5*a, 5*j - 4*j - 21 = -4*a. Suppose 4*m + 5*p = 12 - 4, 0 = -j* | {
"pile_set_name": "DM Mathematics"
} |
*z**2 = 0.
-3, 0, 3
Factor 2*o**2 - 18.
2*(o - 3)*(o + 3)
Factor -6*x**4/7 - 12*x**3/7 + 90*x**2/7 + 216*x/7.
-6*x*(x - 4)*(x + 3)**2/7
Factor -2*m**3/15 - 68*m**2/15 - 168*m/5 + 432/5.
-2*(m - 2)*(m + 18)**2/15
Factor -5*n**3/6 + 115*n**2/6 - 50*n.
-5*n*(n - 20)*(n - 3)/6
Factor o**3/2 - 217*o**2/6 - 184*o/3 - 74/3.
(o - 74)*(o + 1)*(3*o + 2)/6
Factor 3*o**2/4 + 465*o/2 + 462.
3*(o + 2)*(o + 308)/4
Solve -4*q**3 - 173*q**2 - 523*q - 120 = 0 for q.
-40, -3, -1/4
Suppose v**4/3 + 52*v**3/3 + 32*v**2 - 208*v/3 - 400/3 = 0. What is v?
-50, -2, 2
Suppose -2*b**5/21 - 50*b**4/21 + 18*b**3/7 + 50*b**2/21 - 52*b/21 = 0. What is b?
-26, -1, 0, 1
Suppose -5*x**4 - 240*x**3 + 4800*x**2 - 20480*x = 0. What is x?
-64, 0, 8
Factor -y**2/5 - 36*y/5 + 37/5.
-(y - 1)*(y + 37)/5
Factor -2*w**3/9 + 1424*w**2/3 + 950*w + 4276/9.
-2*(w - 2138)*(w + 1)**2/9
Find f, given that -f**5 + 4*f**4 + 14*f**3 - 56*f**2 + 59*f - 20 = 0.
-4, 1, 5
Find g such that -2*g**4/7 + 10*g**3/7 - 18*g**2/7 + 2*g - 4/7 = 0.
1, 2
Solve -g**3/7 - 10*g**2/7 + 24*g/7 = 0.
-12, 0, 2
Factor 2*a**5/7 - 206*a**4/7 + 5606*a**3/7 - 15602*a**2/7 + 15200*a/7 - 5000/7.
2*(a - 50)**2*(a - 1)**3/7
Solve 3*a**2 + 201*a + 390 = 0 for a.
-65, -2
Suppose k**5/4 - 13*k**4/2 - 117*k**3/4 - 47*k**2/2 + 29*k + 30 = 0. What is k?
-2, -1, 1, 30
Solve -28*h**4 - 328*h**3 - 912*h**2 + 288*h = 0.
-6, 0, 2/7
Factor v**4/2 + 14*v**3 + 83*v**2 - 210*v + 225/2.
(v - 1)**2*(v + 15)**2/2
Determine x, given that -2*x**4/21 - 14*x**3/3 - 160*x**2/7 + 6600*x/7 = 0.
-30, 0, 11
Factor q**2 + 10*q - 96.
(q - 6)*(q + 16)
Factor 2*d**5 - 44*d**4 + 346*d**3 - 1120*d**2 + 1176*d.
2*d*(d - 7)**2*(d - 6)*(d - 2)
Factor -y**2/4 + 27*y/2 - 729/4.
-(y - 27)**2/4
Factor -4*q**3 + 160*q**2 - 1428*q - 3528.
-4*(q - 21)**2*(q + 2)
Factor 18*z**2/13 - 278*z/13 - 476/13.
2*(z - 17)*(9*z + 14)/13
Determine x so that -3*x**2 + 5331*x = 0.
0, 1777
Let s**3 - 4*s**2 - 4*s + 16 = 0. What is s?
-2, 2, 4
Find q, given that -2*q**3/7 - 60*q**2/7 + 128*q/7 = 0.
-32, 0, 2
Find p, given that 2*p**3/5 + 102*p**2/5 - 104*p/5 = 0.
-52, 0, 1
Factor 12*v**2/5 - 206*v/5 + 364/5.
2*(v - 2)*(6*v - 91)/5
Factor -a**4 + 226*a**3 - 12769*a**2.
-a**2*(a - 113)**2
Factor 13*v**2 - v.
v*(13*v - 1)
Factor 4*q**3 - 8*q**2 - 36*q + 72.
4*(q - 3)*(q - 2)*(q + 3)
Factor 10*j**2 - 1781*j + 178.
(j - 178)*(10*j - 1)
Let 7*p**3/6 - 125*p**2/3 + 874*p/3 + 260/3 = 0. What is p?
-2/7, 10, 26
Factor -2*w**3 + 8*w**2 + 14*w - 20.
-2*(w - 5)*(w - 1)*(w + 2)
Let -2*u**5/9 + 2*u**4/9 + 2*u**3/3 - 10*u**2/9 + 4*u/9 = 0. What is u?
-2, 0, 1
Factor 14*h**2 + 18*h + 4.
2*(h + 1)*(7*h + 2)
Find p such that p**4 - 15*p**3 - 17*p**2 + 15*p + 16 = 0.
-1, 1, 16
Factor -5*q**2 - 1930*q - 186245.
-5*(q + 193)**2
Solve k**3 + 6*k**2 + 9*k = 0 for k.
-3, 0
Factor -h**3 + 59*h**2 - 899*h + 841.
-(h - 29)**2*(h - 1)
Determine m so that -2*m**3/9 + 1816*m**2/9 - 136192*m/3 - 184832 = 0.
-4, 456
Determine c, given that -4*c**2 + 8*c = 0.
0, 2
Suppose i**4/5 - 202*i**3/5 - 407*i**2/5 - 204*i/5 = 0. Calculate i.
-1, 0, 204
Let -4*c**5 + 72*c**4 - 340*c**3 + 1424*c - 1152 = 0. Calculate c.
-2, 1, 2, 8, 9
Determine r so that 15*r**4 + 99*r**3 + 198*r**2 + 84*r - 72 = 0.
-3, -2, 2/5
What is p in 4*p**5 - 24*p**4 + 8*p**3 + 80*p**2 - 108*p + 40 = 0?
-2, 1, 5
Factor -10*y**2 - 6*y + 4.
-2*(y + 1)*(5*y - 2)
Solve 3*d**4 + 195*d**3 + 3063*d**2 - 3663*d - 6534 = 0 for d.
-33, -1, 2
Suppose -a**3/2 - a**2/2 + 65*a/2 + 225/2 = 0. Calculate a.
-5, 9
Determine s, given that -5*s**3 - 45*s**2 - 55*s + 105 = 0.
-7, -3, 1
Suppose -5*u**4/3 - 25*u**3/3 - 40*u**2/3 - 20*u/3 = 0. Calculate u.
-2, -1, 0
Solve -8*a**4/17 - 38*a**3/17 - 14*a**2/17 + 78*a/17 - 18/17 = 0.
-3, 1/4, 1
Factor -k**5 + 5*k**4 + 17*k**3 - 17*k**2 - 32*k + 28.
-(k - 7)*(k - 1)**2*(k + 2)**2
Factor 4*f**4 - 16*f**3 - 44*f**2 - 24*f.
4*f*(f - 6)*(f + 1)**2
Factor -t**4/7 - 30*t**3/7 + 391*t**2/7 - 360*t/7.
-t*(t - 9)*(t - 1)*(t + 40)/7
Find o such that 2116*o**2/7 + 736*o + 448 = 0.
-28/23
Factor 2*c**3 + 270*c**2 + 534*c + 266.
2*(c + 1)**2*(c + 133)
Determine w so that -2*w**4/3 - 20*w**3/3 - 8*w**2 + 48*w = 0.
-6, 0, 2
Factor -5*h**3 + 10*h**2/3 + 5*h/3.
-5*h*(h - 1)*(3*h + 1)/3
Solve 90*x**5/7 + 52*x**4/7 - 106*x**3/7 - 52*x**2/7 + 16*x/7 = 0.
-1, -4/5, 0, 2/9, 1
Factor x**2/3 + 101*x/9 + 22/3.
(x + 33)*(3*x + 2)/9
Let 2*p**2 - 146*p = 0. Calculate p.
0, 73
Factor -16*s**5 + 8528*s**4 - 1512292*s**3 + 88717336*s**2 + 89855824*s + 22559008.
-4*(s - 178)**3*(2*s + 1)**2
Factor -4*m**3/3 + 32*m**2/3 + 132*m - 1080.
-4*(m - 9)**2*(m + 10)/3
What is o in o**3 + 239*o**2 + 15707*o + 165997 = 0?
-113, -13
Find v such that -4*v**5/3 + 372*v**4 - 77276*v**3/3 - 79516*v**2/3 + 25760*v + 78400/3 = 0.
-1, 1, 140
Factor v**5/3 - 11*v**4/3 + 9*v**3 - 25*v**2/3 + 8*v/3.
v*(v - 8)*(v - 1)**3/3
Factor -i**4 - 84*i**3 - 402*i**2 - 556*i - 237.
-(i + 1)**2*(i + 3)*(i + 79)
Factor -4*f**2 + 548*f + 1112.
-4*(f - 139)*(f + 2)
Factor 3*k**3/2 + 126*k**2 + 3528*k + 32928.
3*(k + 28)**3/2
Factor m**4 - m**3 - 2*m**2.
m**2*(m - 2)*(m + 1)
Determine v so that 2*v**4/17 - 38*v**3/17 - 178*v**2/17 - 138*v/17 = 0.
-3, -1, 0, 23
Let -z**4/9 - 2*z**3/9 + 55*z**2/9 - 88*z/9 - 16 = 0. Calculate z.
-9, -1, 4
Factor -2*a**2 + 8*a + 42.
-2*(a - 7)*(a + 3)
Determine f so that 2*f**3/15 + 12*f**2/5 - 338*f/15 + 20 = 0.
-25, 1, 6
Factor -x**2 + 504*x - 63504.
-(x - 252)**2
Find l such that 3*l**2 + 513*l + 510 = 0.
-170, -1
What is r in -2*r**5/7 - 24*r**4/7 - 10*r**3 + 24*r**2/7 + 72*r/7 = 0?
-6, -1, 0, 1
Factor 12*i**4 + 52*i**3 - 11*i**2/3 - 130*i + 75.
(i + 3)**2*(6*i - 5)**2/3
Factor 18*t**3/5 + 44*t**2 - 1806*t/5 + 2952/5.
2*(t - 3)**2*(9*t + 164)/5
Factor 4*m**2 - 612*m + 15128.
4*(m - 122)*(m - 31)
Find f such that 2*f**5/5 - 4*f**3/5 + 2*f/5 = 0.
-1, 0, 1
Solve 3*j**5 - 72*j**4 - 1263*j**3 - 1188*j**2 = 0.
-11, -1, 0, 36
Solve 4*i**3 + 36*i**2 - 196*i + 156 = 0.
-13, 1, 3
Factor 75*r**3 - 160*r**2 - 205*r + 30.
5*(r - 3)*(r + 1)*(15*r - 2)
Suppose -3*g**4/5 + 27*g**3/5 - 9*g**2 + 21*g/5 = 0. What is g?
0, 1, 7
Factor -4*i**4 - 56*i**3 - 52*i**2.
-4*i**2*(i + 1)*(i + 13)
Factor -c**3/2 - 137*c**2/6 - 58*c - 86/3.
-(c + 2)*(c + 43)*(3*c + 2)/6
Solve -44*p**4/19 - 674*p**3/19 - 756*p**2/19 + 776*p/19 - 112/19 = 0.
-14, -2, 2/11, 1/2
Let -10*k**3/7 - 43224*k**2/7 - 46716498*k/7 - 18679684/7 = 0. Calculate k.
-2161, -2/5
Factor o**2/3 + 58*o/3 + 841/3.
(o + 29)**2/3
Let -2*c**3/17 - 6*c**2/17 + 72*c/17 - 64/17 = 0. Calculate c.
-8, 1, 4
Let -6*l**3 + 9*l**2 + 15*l = 0. What is l?
-1, 0, 5/2
Factor 2*j**2/9 - 68*j/9 + 22/3.
2*(j - 33)*(j - 1)/9
Let 12*r**3 - 44*r**2 + 48*r - 16 = 0. Calculate r.
2/3, 1, 2
Solve -l**2/4 + 81*l/4 = 0.
0, 81
Suppose 108*c**5 + 11385*c**4 - 42369*c**3 - 20253*c**2 + 2301*c + 1308 = 0. Calculate c.
-109, -1/3, 1/4, 4
Factor -2*n**4 + 2*n**3 + 42*n**2 - 82*n + 40.
-2*(n - 4)*(n - 1)**2*(n + 5)
Factor -4*d**4/3 - 56*d**3/3 - 196*d**2/3.
-4*d**2*(d + 7)**2/3
Factor -2*o**2/7 + 34*o/7 + 76/7.
-2*(o - 19)*(o + 2)/7
Determine h, given that -2*h**2/11 + 300*h/11 - 298/11 = 0.
1, 149
Determine s so that -5*s**4 + 35*s**2 + 30*s = 0.
-2, -1, 0, 3
Find t, given that 10*t**3/7 - 76*t**2/7 - 38*t/7 + 48/7 = 0.
-1, 3/5, 8
Solve -p**4/4 + 7*p**3/2 + 8*p**2 = 0 for p.
-2, 0, 16
Solve 45*s**4 - 165*s**3 + 95*s**2 - 15*s = 0 for s.
0, 1/3, 3
Factor 2*r**3/3 - 422*r**2/3 + 836*r/3.
2*r*(r - 209)*(r - 2)/3
Factor -h**3 - 14*h**2 - 64*h - 96.
-(h + 4)**2*(h + 6)
Factor -7*a**2/2 + 303*a/2 - 43.
-(a - 43)*(7*a - 2)/2
Factor 5*i**3 - 25*i**2 - 8780*i + 8800.
5*(i - 44)*(i - 1)*(i + 40)
Determine r so that -50*r**4 - 10*r**3 + 64*r**2 + 24*r = 0.
-1, -2/5, 0, 6/5
Determine g, given that -2*g**2/13 - 8*g - 104 = 0.
-26
What is t in -5*t**4 + 40*t**3 - 75*t**2 - 40*t + 80 = 0?
-1, 1, 4
What is n in 4*n**2 + 3688*n + 850084 = 0?
-461
Solve -2*g**3/7 + 366*g**2/7 = 0 for g.
0, 183
What is y in y**5/3 + y**4/3 - y**3/3 - y**2/3 = 0?
-1, 0, 1
Find b such that -3*b**4/5 + 11*b**3/5 + 24*b**2/5 - 4*b = 0.
-2, 0, 2/3, 5
Factor -3*c**5/5 + 3*c**4 - 27*c**3/5 + 21*c**2/5 - 6*c/5.
-3*c*(c - 2)*(c - 1)**3/5
Factor -28*c**2/3 - 76*c/3 + 8.
-4*(c + 3)*(7*c - 2)/3
Factor -u**3/4 + 7*u**2/4 + u - 7.
-(u - 7)*(u - 2)*(u + 2)/4
Factor -8*j**2/3 - 278*j - 208/3.
-2*(j + 104)*(4*j + 1)/3 | {
"pile_set_name": "DM Mathematics"
} |
) 2/9 (b) 1 (c) 4/9
c
Which is the second smallest value? (a) -15 (b) -5 (c) -3.3 (d) 5 (e) 0
b
What is the biggest value in -0.4, 0.8, -1, -0.03, -2/3?
0.8
Which is the biggest value? (a) 0 (b) -26 (c) -12
a
What is the smallest value in -3, -1, -9/2, 4, 1?
-9/2
What is the second biggest value in -3.8, -3, -23, -0.1?
-3
What is the fourth biggest value in 1/7, 0.3, -3/7, 3/2, -37?
-3/7
Which is the third smallest value? (a) -2 (b) -4 (c) -1/10 (d) 4
c
What is the third smallest value in 5, 1/9, -1/8, 0.025, 0.5?
1/9
Which is the third biggest value? (a) -2/3 (b) -23 (c) 4 (d) 5
a
Which is the second smallest value? (a) -0.4 (b) 0.004 (c) -8
a
What is the fifth biggest value in -1/5, -43, 0.5, 4, -1/4?
-43
Which is the fourth biggest value? (a) -2 (b) -6/7 (c) -0.06 (d) -2.57
d
What is the biggest value in -0.4, -1/94, -2, -0.1?
-1/94
Which is the second smallest value? (a) 41 (b) 3 (c) -1
b
Which is the biggest value? (a) -5 (b) 3/2 (c) -2/14081
b
What is the second smallest value in 11, 0.7, 3/8, -2?
3/8
What is the smallest value in 3/4, 0, 0.4, 1?
0
What is the third smallest value in -2/7, 0.1, -0.1, 0.08, 12?
0.08
Which is the biggest value? (a) -3/5 (b) -1/5 (c) -1/2 (d) -3 (e) -1/3
b
Which is the second smallest value? (a) -5/6 (b) -25 (c) 6/7
a
What is the third biggest value in 300, -0.2, -5/3?
-5/3
Which is the fourth smallest value? (a) 4 (b) 0.5 (c) 0.4 (d) 7 (e) -599
a
Which is the biggest value? (a) 41 (b) -2/15 (c) 2/3 (d) -1 (e) -0.1
a
What is the smallest value in 27, -6, 4?
-6
Which is the biggest value? (a) -2/7 (b) -9 (c) -11
a
What is the second biggest value in -51, -2/7, -3/5?
-3/5
What is the second biggest value in -0.3, -4, -75?
-4
Which is the third biggest value? (a) -9 (b) 2 (c) 0.06
a
What is the smallest value in -5, 5, 0.2, 0.0081?
-5
What is the smallest value in 3/5, 0, -11/2?
-11/2
Which is the fifth biggest value? (a) -1/4 (b) -2 (c) -1 (d) 2.4 (e) -0.3
b
Which is the second biggest value? (a) -1/3 (b) -24 (c) 1/6
a
Which is the smallest value? (a) 2/11 (b) 0 (c) 3 (d) 0.2
b
What is the third biggest value in -0.4, -453, -0.1?
-453
What is the second biggest value in -2/3, -96, -4?
-4
What is the smallest value in 1/3, -0.13, -0.4?
-0.4
Which is the smallest value? (a) -2 (b) 2 (c) 2/27
a
What is the second biggest value in 0.3, 2/3, -228, 1/4?
0.3
Which is the second smallest value? (a) -0.3 (b) 0.4 (c) -1/3 (d) 5
a
Which is the second biggest value? (a) 0.06 (b) 0.4 (c) -16 (d) -2/3 (e) -4
a
Which is the fourth smallest value? (a) -0.5 (b) -17 (c) 2 (d) -0.3
c
What is the third smallest value in -0.4, 73, -3/7, -2/17?
-2/17
What is the second biggest value in 2, 0.049, 2/37?
2/37
What is the second biggest value in -68, 0, 5?
0
What is the fourth smallest value in 1/3, -0.5, -0.3, 4, 2/61?
1/3
What is the third biggest value in 1, -0.1, 1/5, -1, 0?
0
Which is the fifth biggest value? (a) -3/5 (b) -3/2 (c) -6 (d) -0.4 (e) -7
e
What is the second smallest value in 0.21, 53, 0.2, 5?
0.21
Which is the second smallest value? (a) 28 (b) -5 (c) 2
c
What is the second smallest value in -0.9, 1, 0.5, 12?
0.5
What is the third smallest value in 0.4, -12, 1?
1
Which is the second smallest value? (a) -0.1 (b) 2 (c) 3 (d) -5/6
a
Which is the second smallest value? (a) 5 (b) 0.5 (c) -34/5 (d) 2
b
What is the smallest value in -5, 2, -124, 5/6, -0.4?
-124
What is the fourth biggest value in -0.5, -2, -3, -0.3, 8?
-2
Which is the fourth biggest value? (a) 1 (b) -2/25 (c) -0.56 (d) 2
c
What is the smallest value in 0.5, -5, -1?
-5
Which is the second biggest value? (a) 0.2 (b) 170 (c) -0.12
a
What is the third smallest value in 0.064, -2/23, -0.3, 0.2, -4?
-2/23
What is the fourth smallest value in 0.1, 19, 1/4, -52?
19
Which is the third biggest value? (a) 2/11 (b) 2 (c) -1 (d) -5/4 (e) -0.4
e
What is the second biggest value in 0, -2498, 0.3?
0
Which is the second biggest value? (a) -0.2 (b) 1/4 (c) -5 (d) 1
b
Which is the third smallest value? (a) 6 (b) 3/5 (c) -1
a
Which is the biggest value? (a) 5 (b) -0.01 (c) -0.2
a
What is the fourth smallest value in -4, -0.4, 8/7, 5, -46?
8/7
What is the third biggest value in -5, 0.23, 4, 0, 15?
0.23
What is the biggest value in 3/2, 1/4, -282?
3/2
What is the second smallest value in -5, -2, 4, -4, 0.5?
-4
What is the smallest value in 0.3, -4, 16?
-4
Which is the biggest value? (a) -150 (b) 3 (c) 0.1
b
What is the biggest value in 2/3, -598, 1/11?
2/3
What is the third biggest value in -0.1, 2, -3/2, 1, -1?
-0.1
Which is the second smallest value? (a) -99 (b) -3 (c) 2
b
What is the third smallest value in -3/2, 0.5, -2/47?
0.5
Which is the second biggest value? (a) 0.2 (b) 3/7 (c) -3 (d) 0.171 (e) 2
b
What is the smallest value in -3, -4, 0.1, -78?
-78
Which is the second biggest value? (a) -0.022 (b) 0.03 (c) 2
b
Which is the second smallest value? (a) 0.5 (b) -4 (c) -6.8
b
What is the second biggest value in 28, -4, 3, 2, 5?
5
Which is the fourth smallest value? (a) 3 (b) -185 (c) -14 (d) -0.3
a
Which is the biggest value? (a) 1 (b) 5 (c) 0.12 (d) 0.3
b
What is the second smallest value in 0.01, -0.2, -22?
-0.2
Which is the second smallest value? (a) -5 (b) -1/6 (c) 7 (d) 0.5 (e) -0.1
b
What is the second biggest value in 0.5, 0.3, -5/2, -19, 4/3?
0.5
Which is the fifth biggest value? (a) -4 (b) -8 (c) 0.3 (d) -31 (e) 2
d
Which is the biggest value? (a) -0.007 (b) -4/3 (c) 37 (d) 0.5
c
Which is the biggest value? (a) -122/11 (b) -3/5 (c) 3/2
c
What is the second smallest value in -16, 0, 4?
0
What is the biggest value in 2.4, 3, 4?
4
Which is the smallest value? (a) 4 (b) 1 (c) 0.3 (d) 2/5
c
Which is the second smallest value? (a) 0 (b) 5/11 (c) 4 (d) 5/2
b
Which is the third biggest value? (a) 0.1 (b) -127 (c) -1/6
b
What is the second biggest value in -3, -5, 5/3, -24?
-3
What is the biggest value in -0.7, 2, 2/13, -5?
2
What is the second smallest value in -0.2, -0.9, -5, -87?
-5
Which is the second smallest value? (a) -3 (b) 1/12 (c) -0.102
c
Which is the fourth biggest value? (a) 0.1 (b) 253 (c) 0 (d) 1/2
c
Which is the third biggest value? (a) 0.5 (b) 0.07 (c) -1 (d) 0.1
b
What is the second smallest value in -5, 0.2, -4/3, 0.25?
-4/3
Which is the second smallest value? (a) -0.1 (b) -0.4 (c) 2/11 (d) 10
a
What is the third smallest value in 2, -0.28, -6, 2/7?
2/7
Which is the fourth biggest value? (a) -0.26 (b) 3/5 (c) 3 (d) -3/4
d
What is the fourth smallest value in -11, 1/6, 1/4, 11?
11
What is the smallest value in -6065, -1/7, 4?
-6065
Which is the fourth biggest value? (a) 1 (b) 4 (c) 3 (d) 35
a
Which is the second biggest value? (a) -5 (b) 0.1 (c) 0.7 (d) 5
c
Which is the fourth smallest value? (a) 0.4 (b) 3 (c) 23 (d) -5
c
Which is the smallest value? (a) -1217 (b) 5 (c) 1
a
Which is the second biggest value? (a) -2/17 (b) 2/3 (c) 0.09
c
Which is the fourth biggest value? (a) -0.3 (b) -4/9 (c) 1/4 (d) 27 (e) -2/15
a
Which is the fourth biggest value? (a) -14 (b) 13 (c) 4 (d) -1/5
a
Which is the biggest value? (a) -0.4 (b) 0.5 (c) -1 (d) 5
d
Which is the second biggest value? (a) -5 (b) 4 (c) -31 (d) -1/14 (e) -1/4
d
Which is the fourth biggest value? (a) 3 (b) -1/5 (c) 3/2 (d) 0.1
b
What is the fourth biggest value in 0.3, -93, -1/13, -2/9?
-93
Which is the fourth smallest value? (a) 1 (b) 5 (c) 2/3 (d) -4 (e) -2/5
a
What is the second biggest value in -9, 2/7, 0?
0
Which is the third smallest value? (a) 9 (b) -0.3 (c) -2/11 (d) -2
c
Which is the third biggest value? (a) -4383 (b) 4 (c) 0.4
a
Which is the second biggest value? (a) 22 (b) -44/7 (c) -1 (d) -5
c
Which is the smallest value? (a) -3/10 (b) -83 (c) 5
b
Which is the second biggest value? (a) 4/3 (b) 0.07 (c) 5
a
What is the fifth biggest value in -0.2, 2/35, 0.8, 1, -1/8?
-0.2
Which is the third smallest value? (a) 1 (b) -0.5 (c) 3 (d) 0.12
a
Which is the fourth smallest value? (a) 2/9 (b) 0.2 (c) 49 (d) -31
c
Which is the third biggest value? (a) -3/2 (b) -105 (c) 4 (d) -2
d
What is the fifth smallest value in -133, -0.3, 5, -2, 1/ | {
"pile_set_name": "DM Mathematics"
} |
are there between 2:35 PM and 5:49 PM?
194
What is 313 minutes after 8:01 AM?
1:14 PM
How many minutes are there between 11:53 AM and 10:55 PM?
662
What is 700 minutes after 8:24 PM?
8:04 AM
How many minutes are there between 8:59 PM and 3:13 AM?
374
How many minutes are there between 5:45 PM and 11:03 PM?
318
What is 599 minutes after 7:17 PM?
5:16 AM
How many minutes are there between 5:59 AM and 3:46 PM?
587
What is 493 minutes before 4:44 PM?
8:31 AM
What is 92 minutes before 5:34 PM?
4:02 PM
What is 101 minutes before 2:10 PM?
12:29 PM
What is 530 minutes after 1:22 PM?
10:12 PM
How many minutes are there between 6:47 PM and 9:21 PM?
154
What is 6 minutes after 5:34 AM?
5:40 AM
How many minutes are there between 1:26 AM and 12:09 PM?
643
How many minutes are there between 8:25 PM and 10:26 PM?
121
What is 514 minutes after 6:12 AM?
2:46 PM
What is 715 minutes after 12:37 PM?
12:32 AM
What is 704 minutes after 3:28 PM?
3:12 AM
What is 126 minutes after 9:35 PM?
11:41 PM
How many minutes are there between 2:50 PM and 10:32 PM?
462
How many minutes are there between 3:12 AM and 10:13 AM?
421
What is 405 minutes after 7:09 AM?
1:54 PM
What is 592 minutes before 6:59 AM?
9:07 PM
What is 401 minutes after 1:34 AM?
8:15 AM
How many minutes are there between 10:43 AM and 12:25 PM?
102
How many minutes are there between 9:14 PM and 4:42 AM?
448
What is 680 minutes before 7:39 PM?
8:19 AM
What is 305 minutes after 5:50 AM?
10:55 AM
How many minutes are there between 7:04 AM and 6:34 PM?
690
What is 504 minutes after 3:23 AM?
11:47 AM
What is 53 minutes before 7:08 AM?
6:15 AM
What is 634 minutes after 5:28 AM?
4:02 PM
How many minutes are there between 3:36 PM and 10:34 PM?
418
How many minutes are there between 5:34 AM and 6:37 AM?
63
How many minutes are there between 11:42 PM and 9:38 AM?
596
How many minutes are there between 2:13 PM and 8:06 PM?
353
What is 560 minutes after 2:01 AM?
11:21 AM
How many minutes are there between 12:06 AM and 11:27 AM?
681
How many minutes are there between 11:12 PM and 10:19 AM?
667
What is 597 minutes after 9:45 AM?
7:42 PM
What is 235 minutes before 8:26 PM?
4:31 PM
How many minutes are there between 5:52 PM and 1:11 AM?
439
How many minutes are there between 11:38 PM and 8:03 AM?
505
How many minutes are there between 10:33 AM and 4:18 PM?
345
How many minutes are there between 5:01 AM and 4:11 PM?
670
What is 264 minutes after 6:25 AM?
10:49 AM
How many minutes are there between 1:09 PM and 2:52 PM?
103
What is 636 minutes before 7:14 AM?
8:38 PM
How many minutes are there between 12:25 PM and 3:52 PM?
207
How many minutes are there between 7:56 PM and 10:49 PM?
173
How many minutes are there between 1:09 PM and 6:26 PM?
317
What is 419 minutes after 3:01 AM?
10:00 AM
What is 578 minutes after 5:38 AM?
3:16 PM
What is 496 minutes after 12:11 AM?
8:27 AM
What is 235 minutes before 9:53 AM?
5:58 AM
What is 251 minutes before 7:39 PM?
3:28 PM
What is 148 minutes before 3:17 AM?
12:49 AM
What is 135 minutes before 8:26 PM?
6:11 PM
How many minutes are there between 4:07 AM and 12:52 PM?
525
How many minutes are there between 5:10 AM and 6:04 AM?
54
How many minutes are there between 9:16 AM and 2:58 PM?
342
How many minutes are there between 6:53 PM and 10:50 PM?
237
How many minutes are there between 3:20 PM and 10:56 PM?
456
What is 142 minutes after 10:00 AM?
12:22 PM
What is 156 minutes before 2:47 PM?
12:11 PM
How many minutes are there between 8:08 PM and 11:31 PM?
203
What is 526 minutes before 3:10 PM?
6:24 AM
How many minutes are there between 4:57 AM and 11:31 AM?
394
What is 408 minutes before 11:11 PM?
4:23 PM
How many minutes are there between 3:30 PM and 11:55 PM?
505
How many minutes are there between 2:52 PM and 5:26 PM?
154
What is 398 minutes after 11:08 PM?
5:46 AM
How many minutes are there between 4:01 PM and 11:05 PM?
424
How many minutes are there between 10:38 PM and 9:41 AM?
663
What is 355 minutes before 11:35 PM?
5:40 PM
How many minutes are there between 5:37 PM and 8:05 PM?
148
What is 643 minutes before 7:29 AM?
8:46 PM
What is 429 minutes after 9:45 PM?
4:54 AM
How many minutes are there between 3:32 PM and 1:08 AM?
576
How many minutes are there between 4:47 AM and 8:56 AM?
249
What is 148 minutes after 9:59 PM?
12:27 AM
What is 59 minutes before 10:56 AM?
9:57 AM
How many minutes are there between 12:52 AM and 10:57 AM?
605
What is 704 minutes after 5:41 AM?
5:25 PM
How many minutes are there between 4:08 PM and 6:15 PM?
127
How many minutes are there between 8:17 AM and 7:38 PM?
681
What is 11 minutes after 11:27 PM?
11:38 PM
How many minutes are there between 1:15 PM and 6:42 PM?
327
What is 685 minutes before 11:03 AM?
11:38 PM
What is 386 minutes before 4:35 AM?
10:09 PM
How many minutes are there between 12:05 PM and 12:55 PM?
50
What is 631 minutes before 12:03 PM?
1:32 AM
What is 660 minutes after 12:09 PM?
11:09 PM
How many minutes are there between 7:57 AM and 1:06 PM?
309
What is 289 minutes after 8:04 AM?
12:53 PM
What is 605 minutes after 8:51 AM?
6:56 PM
What is 670 minutes before 11:43 PM?
12:33 PM
How many minutes are there between 3:34 AM and 2:56 PM?
682
How many minutes are there between 4:31 PM and 3:14 AM?
643
What is 373 minutes after 7:04 AM?
1:17 PM
How many minutes are there between 6:21 PM and 8:50 PM?
149
How many minutes are there between 7:23 AM and 8:17 AM?
54
How many minutes are there between 3:18 AM and 12:17 PM?
539
What is 42 minutes after 12:50 PM?
1:32 PM
What is 156 minutes after 12:45 AM?
3:21 AM
What is 139 minutes before 3:48 AM?
1:29 AM
What is 388 minutes before 1:11 AM?
6:43 PM
How many minutes are there between 10:01 AM and 9:47 PM?
706
How many minutes are there between 12:29 PM and 8:57 PM?
508
How many minutes are there between 9:52 AM and 6:40 PM?
528
What is 719 minutes before 3:17 AM?
3:18 PM
How many minutes are there between 12:59 AM and 7:13 AM?
374
What is 448 minutes before 5:23 AM?
9:55 PM
What is 514 minutes before 2:25 PM?
5:51 AM
How many minutes are there between 1:59 AM and 4:21 AM?
142
How many minutes are there between 4:01 AM and 11:13 AM?
432
How many minutes are there between 8:39 PM and 2:34 AM?
355
How many minutes are there between 10:46 AM and 2:23 PM?
217
How many minutes are there between 1:58 AM and 10:56 AM?
538
How many minutes are there between 10:14 PM and 7:23 AM?
549
How many minutes are there between 1:33 AM and 1:32 PM?
719
How many minutes are there between 2:12 AM and 12:17 PM?
605
What is 467 minutes before 9:18 PM?
1:31 PM
What is 419 minutes before 1:44 AM?
6:45 PM
What is 584 minutes before 6:32 AM?
8:48 PM
How many minutes are there between 4:11 AM and 8:08 AM?
237
What is 628 minutes after 10:20 PM?
8:48 AM
How many minutes are there between 2:44 AM and 9:45 AM?
421
What is 145 minutes after 6:31 AM?
8:56 AM
What is 556 minutes before 5:29 AM?
8:13 PM
What is 719 minutes after 9:09 PM?
9:08 AM
What is 627 minutes after 8:36 PM?
7:03 AM
How many minutes are there between 9:40 PM and 8:26 AM?
646
How many minutes are there between 6:07 PM and 5:32 AM?
685
How many minutes are there between 3:24 AM and 2:16 PM?
652
What is 235 minutes after 8:48 AM?
12:43 PM
How many minutes are there between 5:36 PM and 4:48 AM?
672
What is 366 minutes after 7:23 PM?
1:29 AM
What is 667 minutes before 1:21 AM?
2:14 PM
How many minutes are there between 8:32 PM and 5:06 AM?
514
How many minutes are there between 2:06 AM and 8:47 AM?
401
What is 646 minutes after 2:33 PM?
1:19 AM
How many minutes are there between 5:27 PM and 6:05 PM?
38
What is 148 minutes before 6:51 PM?
4:23 PM
What is 560 minutes before 9:33 AM?
12:13 AM
How many minutes are there between 5:13 PM and 10:55 PM?
342
What is 428 minutes before 10:10 PM?
3:02 PM
How many minutes are there between 3:34 AM and 7:01 AM?
207
What is 69 minutes before 9:11 AM?
8:02 AM
How many minutes are there between 10:53 PM and 8:21 AM?
568
How many minutes are there between 4:49 AM and 4:59 AM?
10
What is 589 minutes before 4:19 AM?
6:30 PM
How many minutes are there between 4:14 PM and 8:48 PM?
274
What is 466 minutes before 4:58 AM?
9:12 PM
How many minutes are there between 11:53 PM and 3:53 AM?
240
How many minutes are there between 10:42 PM and 9:57 AM? | {
"pile_set_name": "DM Mathematics"
} |
2 - 4*t**2. Determine q(b(p)).
128*p**4
Let x be ((-1)/1)/(3 - 4). Let h(a) = -2 - a + 1 + x. Let q(y) be the third derivative of -y**5/60 + y**2. What is h(q(g))?
g**2
Let f(v) = -182*v**2. Let q(l) = 2*l**2. Calculate q(f(a)).
66248*a**4
Let p(v) = -v + 5. Let b(k) = k - 6. Let o(i) = 5*b(i) + 6*p(i). Let n(f) be the first derivative of 2*f**2 + 1. Determine n(o(w)).
-4*w
Let u(q) = -500 - 7*q**2 + 502 - 5*q**2. Let t(w) = 2*w**2. Give u(t(l)).
-48*l**4 + 2
Let j(a) = 2*a. Suppose -6*q + q = -15. Suppose -s - 5 = -3*r - 1, 7 = -r + 2*s. Let v(w) = -w - w + q*w - r*w. Give j(v(m)).
-4*m
Let a(j) = -19*j. Let v(y) = -43*y + 1. What is a(v(o))?
817*o - 19
Let i(f) = 3*f. Let b(w) = 1023*w. What is b(i(a))?
3069*a
Let d(t) = 6*t. Let f(i) = -71*i. Calculate f(d(c)).
-426*c
Let j(o) = -7*o + 0*o + 5*o - o. Let m(f) = -4*f. Determine m(j(y)).
12*y
Let u(b) = -b**2. Let x(p) = -5*p**2 + 4*p - 59. Calculate x(u(f)).
-5*f**4 - 4*f**2 - 59
Let z(o) = -o**2. Let s(h) = 2*h + 8*h + 6*h - 2*h. Calculate z(s(u)).
-196*u**2
Let y(u) = 15*u**2. Let i(l) = -l**2 + l**2 - 2*l**2 + 3*l**2. Give y(i(a)).
15*a**4
Let i(f) = -23*f. Let j(t) = -t + 5. Let m(c) = -c + 3. Let u(r) = -3*j(r) + 5*m(r). Determine u(i(h)).
46*h
Let b(l) = l**2 - 1 + 1. Let t(z) be the second derivative of 0*z**3 - 4*z + 1/12*z**4 + 0*z**2 + 0. Calculate t(b(g)).
g**4
Let p(t) = 1. Let w(r) = r + 4. Let f(k) = 4*p(k) - w(k). Let m(x) = x. What is f(m(l))?
-l
Suppose -2*i + 4*i - 4 = 0. Let t(g) = -i*g - 2*g + 3*g. Let p(z) = z**2. Calculate t(p(w)).
-w**2
Let u(b) = 2*b. Let v(w) be the third derivative of 0*w**4 - 3*w**2 + 0 + 0*w - 1/30*w**5 + 0*w**3. Give v(u(x)).
-8*x**2
Let l(j) be the third derivative of j**4/24 + 2*j**2. Let y(v) be the third derivative of -v**5/60 - 2*v**2. Determine y(l(g)).
-g**2
Let z(t) = -5*t**2 - 4*t. Let m(o) = -3*o + 10. What is z(m(u))?
-45*u**2 + 312*u - 540
Let p(x) = 15*x**2. Let q(o) = -78 - o + 78. Calculate q(p(b)).
-15*b**2
Let t(p) = -2*p. Let z(d) = -3*d - 433. Give z(t(u)).
6*u - 433
Let y(f) = -2*f**2. Let h(p) be the first derivative of -p**4/24 - p**2/2 + 5. Let g(s) be the second derivative of h(s). Give g(y(v)).
2*v**2
Let o(y) = 13*y**2 + 11*y + 11. Let s(g) = -7*g**2 - 6*g - 6. Let m(r) = -6*o(r) - 11*s(r). Let v(i) = -17*i**2. Determine v(m(x)).
-17*x**4
Let g(b) = -7*b. Let y(w) = -2467*w**2. Determine y(g(a)).
-120883*a**2
Let r(f) = -2*f + 11. Let i(s) = -s + 6. Let v(w) = 11*i(w) - 6*r(w). Let p(z) = -4*z**2. Give p(v(y)).
-4*y**2
Let o(b) = -20*b**2. Let d(x) = -3*x + 5. Calculate d(o(m)).
60*m**2 + 5
Let n(d) = -1. Let u(x) be the third derivative of -x**4/24 - x**3/3 + 2*x**2. Let f(l) = -2*n(l) + u(l). Let w(z) = 5*z**2. Determine f(w(a)).
-5*a**2
Let a(l) = 2*l + l - 2*l. Let m(k) = 0 + 0 + k. Give a(m(n)).
n
Let k(x) = -284*x. Let b(p) = 3*p**2. Give b(k(n)).
241968*n**2
Let r(y) = -464*y**2. Let j(n) = 5*n**2. Determine r(j(s)).
-11600*s**4
Let g(x) = -3*x**2 + 0*x**2 + 5*x**2. Suppose 5*b - 28 = -13. Let w(j) = -6*j + b*j + j. Give g(w(m)).
8*m**2
Let h(v) = -v**2 + 0*v**2 + 2*v**2. Let w(q) be the first derivative of 5*q**2 - 14. Give w(h(a)).
10*a**2
Let l(h) = 7*h**2. Let x(k) = -k**2 - 3*k + 6. Let t(g) = 3*g**2 + 5*g - 10. Let d(n) = -3*t(n) - 5*x(n). Calculate d(l(o)).
-196*o**4
Let q(c) = c**2. Let x(t) be the third derivative of 3*t**2 + 0*t**3 + 0*t + 0 - 1/15*t**5 + 0*t**4. Calculate q(x(o)).
16*o**4
Suppose 0 = 2*j - 6. Let r(o) = 2*o - j*o + 2*o. Let q(l) = 10*l + 8*l - 20*l. Calculate q(r(g)).
-2*g
Let k(s) = -s**2. Let f(a) = 1953*a. Calculate f(k(o)).
-1953*o**2
Let d(v) be the third derivative of -v**4/24 - 8*v**2. Let l(i) = 15*i**2. Determine l(d(u)).
15*u**2
Let y(v) = 8*v - 3. Let n(h) = -9*h + 3. Let m(z) = 3*n(z) + 4*y(z). Let s(g) = -1. Let i(r) = 2*m(r) - 6*s(r). Let a(k) = k. Calculate i(a(w)).
10*w
Let w(y) = -144*y. Let j(a) = 2*a**2. What is w(j(p))?
-288*p**2
Let a(x) = -16*x**2 - 2*x. Let l(f) = -2*f**2. Give l(a(g)).
-512*g**4 - 128*g**3 - 8*g**2
Let h(c) = -c**2 + 2*c**2 - c**2 + 2*c**2. Let z(p) = 5*p. What is h(z(j))?
50*j**2
Let t(p) = 13*p**2 - 3*p**2 - 16*p**2. Let q(m) = -6*m. Determine t(q(u)).
-216*u**2
Let q(d) = 466*d + 2. Let p(w) = -2*w**2. Give p(q(l)).
-434312*l**2 - 3728*l - 8
Let d(y) = -2*y. Let a(n) = -60*n + 2. Give a(d(v)).
120*v + 2
Let x(y) be the second derivative of 0*y**2 + 0 + 0*y**3 + 5*y - 1/6*y**4. Let j(m) = 9*m. What is x(j(q))?
-162*q**2
Let h(c) = -c. Let v = -67 - -67. Let i(s) be the third derivative of v*s + 0*s**4 + 0 - 1/10*s**5 + 0*s**3 + s**2. Calculate h(i(p)).
6*p**2
Let t(g) = -7*g - 3. Let c(r) = 119*r. What is c(t(w))?
-833*w - 357
Suppose l - 3 = -p, p + 4 = 2*p + 2*l. Let i(t) = -2*t - p*t - t. Let q(o) = o. Calculate q(i(n)).
-5*n
Suppose 4*k - 12 = k. Let n(g) = g - k*g + 2*g. Let u(x) = -5*x. What is n(u(a))?
5*a
Let z(t) = 64*t - 35*t - 33*t. Let q(j) = 9*j**2. What is q(z(m))?
144*m**2
Let j(w) be the third derivative of w**5/6 - 7*w**2. Let z(h) = -h. What is z(j(v))?
-10*v**2
Let k(b) = b. Let g(i) = -1357*i. Give g(k(h)).
-1357*h
Let r(m) be the third derivative of m**5/20 + 15*m**2. Let p(f) = 29*f**2. Give r(p(q)).
2523*q**4
Let o(x) = 3*x**2. Let y(j) be the third derivative of -j**5/30 + 9*j**2. What is o(y(z))?
12*z**4
Let l(k) = -3*k. Let y(n) be the second derivative of n**6/360 - n**3/2 - 3*n. Let v(a) be the second derivative of y(a). Determine v(l(x)).
9*x**2
Let l(r) be the first derivative of 3*r**3 + 2 - 2*r**3 - 1 + 2*r**3. Let o(p) = p. Give l(o(s)).
9*s**2
Let l(w) = -4*w**2. Let d(s) be the first derivative of s**3/3 + 10. Give l(d(y)).
-4*y**4
Let j(b) = -265*b - 2. Let q(o) = -2*o. Give q(j(c)).
530*c + 4
Suppose 4*n + 4*x + 108 = -n, 2*n + x = -42. Let s be (3/2)/((-15)/n). Let o(w) = 2*w**s - 2*w**2 - 3*w**2. Let h(b) = -2*b. Determine o(h(k)).
-12*k**2
Let q(m) be the second derivative of -2*m**3/3 - 2*m. Let z(p) = -p. Calculate q(z(h)).
4*h
Let m(v) = 969*v. Let y(u) = -2*u. Give y(m(l)).
-1938*l
Let t = 6 - 14. Let u = -8 - t. Let r(q) = u*q - q - q. Let j(v) = -4*v. Calculate r(j(z)).
8*z
Let a(o) = -17*o**2. Let m(p) be the second derivative of -5*p + 0*p**2 + 0*p**3 + 1/6*p**4 + 0. Give a(m(v)).
-68*v**4
Let b(c) = 45*c**2 - 91*c**2 + 47*c**2. Let z(p) = 9*p. Calculate z(b(k)).
9*k**2
Let p(o) be the second derivative of o**5/15 + 2*o**2 + 5*o. Let u(a) be the first derivative of p(a). Let q(v) = -2*v. What is u(q(n))?
16*n**2
Let c(x) = 3*x + 19. Let h(u) = -2*u**2. Calculate h(c(y)).
-18*y**2 - 228*y - 722
Let i(u) = 2*u. Let q(m) be the third derivative of 13*m**4/12 + 16*m**2. What is q(i(r))?
52*r
Let o(i) = -4*i**2 + 6*i. Let y(z) = -3*z**2. What is o(y(q))?
-36*q**4 - 18*q**2
Let w(r) = 2*r**2. Let l(f) be the second derivative of -f**5/30 + f**2 + 3*f. Let k(i) be the first derivative of l(i). What is k(w(a))?
-8*a**4
Let o(d) = -2*d**2. Let c(q) = -12*q + 1. Calculate o(c(y)).
-288*y**2 + 48*y - 2
Let a(f) be the second derivative of -f**4/24 - 5*f**2/2 - 2*f. Let j(o) be the first derivative of a(o). Let h(m) = 6*m. What is h(j(x))?
-6*x
Suppose -9*d = -4*d - 15. Let j(v) = -6*v**2 + 7*v - 4*v - d*v. Let f(u) = 2*u**2. Calculate f(j(h)).
72*h**4
Let r(u) = 2*u**2. Let m(f) = -13*f. Let w(o) = -3*o. Let c(i) = -2*m(i) + 9*w(i). Calculate c(r(s)).
-2*s**2
Let b(t) = -1602*t. Let r(a) = 5*a. Calculate r(b(l)).
-8010*l
Let r(q) = q**2 - 1. Let c(n) = 24*n**2 - 28. Let s(d) = 6*c(d) - 168*r(d). Let o(y) = 3*y. Give s(o(u)).
-216*u**2
Let v(b) be the first derivative of 0*b + 0*b**2 - 2/3*b**3 + 2. Let c(u) = -u + u - 8*u + 3*u. Calculate c(v(q)).
10*q**2
Let p(k) = 5236*k. Let b(t) = -2*t**2. Calculate b(p(x)).
-54831392*x**2
Let g(o) = -12*o**2. Let t(x) = -186*x**2. Give g(t(l)).
-415152*l**4
Let k(m) = -43*m. Let s(a) = -2*a + 180. Calculate k(s(w)).
86*w - 7740
Let r(j) be the third derivative of -j**5/30 - 17*j**2. Let f(l) = -9*l**2. Calculate f(r(x)).
-36*x**4
Let i(h) be the second derivative of 0 + 1/6*h**4 + 0*h**3 + 0*h**2 + 3*h. Let o(d) = 3*d. Determine i(o(r)).
18*r**2
Let j(o) = -7*o**2 + 5. Let u(c) = -c**2 + 1. Let d(h) = 2*j(h) - 10*u(h). Let a(x) be the third derivative of -x**4/24 - 8*x**2. What is a(d(m))?
4*m**2
Let f(s) = 8*s. Let o(x) = 2*x**2 + 4. Let c(m) = -5*m**2 - 11. Let g | {
"pile_set_name": "DM Mathematics"
} |
ce hpy when three letters picked without replacement from fpphypwwmpwwym?
1/273
Four letters picked without replacement from fffrjbbff. What is prob of sequence fbjb?
5/1512
Two letters picked without replacement from wwowwwwdwoovdowop. Give prob of sequence do.
5/136
Four letters picked without replacement from {h: 1, v: 4, r: 5}. What is prob of sequence rvvh?
1/84
Four letters picked without replacement from sssssssssnsssnn. Give prob of sequence nnss.
11/455
What is prob of sequence gu when two letters picked without replacement from ogojoooguouguvv?
3/70
Three letters picked without replacement from ffmy. What is prob of sequence yfm?
1/12
Two letters picked without replacement from qqqlkqlql. Give prob of sequence qk.
5/72
What is prob of sequence kl when two letters picked without replacement from klylkmlklllkykql?
7/48
Two letters picked without replacement from edw. What is prob of sequence ed?
1/6
Four letters picked without replacement from {c: 4, j: 4, v: 1, l: 1, x: 1, s: 1}. What is prob of sequence csjv?
2/1485
Two letters picked without replacement from {w: 1, b: 11}. Give prob of sequence bb.
5/6
Two letters picked without replacement from mimmqqiiuyuyziyu. Give prob of sequence ui.
1/20
Three letters picked without replacement from neeeeeeneneneeneen. What is prob of sequence nee?
11/68
Two letters picked without replacement from {v: 6, p: 7}. Give prob of sequence pp.
7/26
Calculate prob of sequence rrs when three letters picked without replacement from prsprrsppsr.
2/55
Calculate prob of sequence wwww when four letters picked without replacement from xwwkwwxwxxw.
1/22
Calculate prob of sequence gvg when three letters picked without replacement from {g: 2, v: 6}.
1/28
Four letters picked without replacement from nqnyqqqqnqyn. What is prob of sequence qqny?
2/99
Calculate prob of sequence cfe when three letters picked without replacement from {f: 3, e: 1, b: 2, c: 2, z: 4, d: 3}.
1/455
What is prob of sequence reee when four letters picked without replacement from {r: 2, e: 9}?
7/55
Calculate prob of sequence zqq when three letters picked without replacement from {f: 6, q: 2, z: 3, d: 2, x: 1, t: 4}.
1/816
Calculate prob of sequence rll when three letters picked without replacement from lprllllprppl.
1/22
Calculate prob of sequence uqq when three letters picked without replacement from {s: 1, g: 1, b: 1, u: 2, w: 1, q: 1}.
0
Four letters picked without replacement from {c: 2, s: 10, w: 6}. Give prob of sequence swwc.
5/612
Four letters picked without replacement from {a: 4, s: 1, k: 4, z: 2}. Give prob of sequence zskk.
1/330
Three letters picked without replacement from {i: 1, f: 1, l: 1, a: 2, u: 1, b: 1}. Give prob of sequence afa.
1/105
What is prob of sequence tbwt when four letters picked without replacement from bwtwbuutktbwubwu?
1/455
What is prob of sequence cv when two letters picked without replacement from cvvcvtibv?
1/9
Two letters picked without replacement from {i: 11, y: 1}. What is prob of sequence ii?
5/6
Calculate prob of sequence ql when two letters picked without replacement from xwlwnnnxwqnxxlxw.
1/120
Calculate prob of sequence nnn when three letters picked without replacement from {n: 13, y: 6}.
286/969
Two letters picked without replacement from {d: 3, m: 3, o: 4, a: 3}. Give prob of sequence mo.
1/13
Calculate prob of sequence uuu when three letters picked without replacement from uuhhuu.
1/5
Four letters picked without replacement from {z: 4, v: 1, x: 7, p: 1}. What is prob of sequence zpzz?
1/715
Calculate prob of sequence tn when two letters picked without replacement from nmtozzztotzzzztzxztz.
1/76
What is prob of sequence nnb when three letters picked without replacement from nrnbnnurunnnnnbub?
9/170
What is prob of sequence geeg when four letters picked without replacement from {s: 7, e: 6, g: 6}?
25/2584
Four letters picked without replacement from {j: 7, o: 2, v: 6}. What is prob of sequence joov?
1/390
Three letters picked without replacement from qytso. What is prob of sequence tsq?
1/60
What is prob of sequence ijbm when four letters picked without replacement from mimiujiibmbijmmb?
5/1456
Three letters picked without replacement from {j: 3, e: 2, f: 5}. Give prob of sequence ffe.
1/18
Two letters picked without replacement from wmmaaftramtttfwtmfwa. What is prob of sequence rf?
3/380
Three letters picked without replacement from ffbffffbffffbbxxbbf. Give prob of sequence fxf.
110/2907
What is prob of sequence omk when three letters picked without replacement from {m: 1, k: 1, o: 1}?
1/6
What is prob of sequence rwb when three letters picked without replacement from {p: 2, r: 2, w: 5, m: 5, b: 1, y: 1}?
1/336
Calculate prob of sequence vvvv when four letters picked without replacement from {v: 7, g: 2}.
5/18
Two letters picked without replacement from bxxxbbxibbbxxxxtx. Give prob of sequence tx.
9/272
Calculate prob of sequence lvh when three letters picked without replacement from lqvhxvn.
1/105
Four letters picked without replacement from ciippcupiuiuiupc. What is prob of sequence cpcp?
3/1820
What is prob of sequence rr when two letters picked without replacement from {w: 4, p: 1, o: 1, z: 4, r: 3}?
1/26
Two letters picked without replacement from {j: 1, o: 2, u: 2, d: 1, m: 2}. Give prob of sequence mj.
1/28
What is prob of sequence nny when three letters picked without replacement from {n: 5, y: 2}?
4/21
Four letters picked without replacement from xruxxuu. What is prob of sequence uuxr?
3/140
What is prob of sequence nf when two letters picked without replacement from hjqnhfjhzhjqzqq?
1/210
Two letters picked without replacement from ggjjssggggsg. What is prob of sequence gs?
7/44
What is prob of sequence ui when two letters picked without replacement from uiggciuggugcg?
1/26
What is prob of sequence vjj when three letters picked without replacement from {j: 6, v: 12}?
5/68
Three letters picked without replacement from {r: 7, i: 3, m: 4, n: 3, g: 3}. What is prob of sequence mnr?
7/570
What is prob of sequence ybn when three letters picked without replacement from bbnbybbnbnbyyyyybbn?
12/323
What is prob of sequence ca when two letters picked without replacement from {c: 2, n: 2, a: 1, y: 1, t: 4}?
1/45
What is prob of sequence gquu when four letters picked without replacement from {u: 4, h: 1, q: 2, g: 1, w: 2, l: 2}?
1/495
Calculate prob of sequence mp when two letters picked without replacement from jpm.
1/6
Four letters picked without replacement from {o: 5, a: 13}. What is prob of sequence aooa?
13/306
Calculate prob of sequence wx when two letters picked without replacement from uyuyxxxuwxxx.
1/22
Calculate prob of sequence db when two letters picked without replacement from bdbd.
1/3
Four letters picked without replacement from {x: 1, c: 1, p: 2, q: 1}. What is prob of sequence pcpq?
1/60
Calculate prob of sequence xh when two letters picked without replacement from {x: 2, h: 1, k: 2, j: 1}.
1/15
Four letters picked without replacement from {s: 2, a: 2, h: 1, t: 9, x: 3}. Give prob of sequence xatt.
9/1190
Three letters picked without replacement from {k: 1, l: 1, f: 2, d: 1, s: 1, y: 1}. What is prob of sequence fds?
1/105
Calculate prob of sequence fp when two letters picked without replacement from {f: 9, t: 1, u: 2, p: 4}.
3/20
What is prob of sequence hhhr when four letters picked without replacement from {e: 2, h: 8, r: 9}?
21/646
Four letters picked without replacement from xgggqxgxqcqqqqggqq. What is prob of sequence cxxq?
1/1530
What is prob of sequence txx when three letters picked without replacement from {x: 3, t: 3}?
3/20
What is prob of sequence unn when three letters picked without replacement from {w: 10, u: 2, z: 2, n: 3, m: 1, v: 1}?
2/969
Three letters picked without replacement from {r: 7, k: 3}. Give prob of sequence rkk.
7/120
What is prob of sequence dqq when three letters picked without replacement from {r: 1, d: 2, q: 11, i: 1}?
22/273
Two letters picked without replacement from {i: 1, a: 4, j: 3, n: 4, s: 2}. Give prob of sequence sn.
4/91
Four letters picked without replacement from hnnxhwhwnnywhnnwyyan. Give prob of sequence hxhy.
1/3230
Two letters picked without replacement from {h: 3, b: 5, a: 10, d: 2}. Give prob of sequence ad.
1/19
Calcul | {
"pile_set_name": "DM Mathematics"
} |
sps. Give prob of picking 2 a and 1 h.
1/182
Two letters picked without replacement from ddrrrrrddrddd. Give prob of picking 2 r.
5/26
Two letters picked without replacement from {t: 1, w: 1, f: 1, b: 2, n: 8, l: 3}. What is prob of picking 1 f and 1 b?
1/60
What is prob of picking 1 o, 1 w, and 1 v when three letters picked without replacement from {o: 2, w: 6, i: 2, z: 6, q: 1, v: 1}?
1/68
What is prob of picking 1 u and 2 q when three letters picked without replacement from qqqssqsqqqsquq?
9/91
Two letters picked without replacement from ilogwooo. Give prob of picking 1 o and 1 i.
1/7
Calculate prob of picking 1 v, 1 t, and 1 g when three letters picked without replacement from {i: 4, t: 1, v: 3, g: 4, o: 2, r: 3}.
3/170
Three letters picked without replacement from {s: 5, p: 3, x: 2, n: 3, u: 3}. What is prob of picking 1 s and 2 n?
3/112
Two letters picked without replacement from {n: 3, q: 1, p: 2, c: 4, m: 3, s: 2}. Give prob of picking 1 m and 1 n.
3/35
What is prob of picking 2 n when two letters picked without replacement from nnnnnnnnn?
1
Calculate prob of picking 1 b and 2 y when three letters picked without replacement from {l: 3, y: 2, u: 1, b: 1, d: 7}.
1/364
What is prob of picking 1 g and 1 z when two letters picked without replacement from zzdgz?
3/10
Four letters picked without replacement from gggcccg. Give prob of picking 2 g and 2 c.
18/35
Calculate prob of picking 1 p, 1 k, and 1 t when three letters picked without replacement from opkjjjtkttmt.
2/55
What is prob of picking 3 t when three letters picked without replacement from twx?
0
What is prob of picking 2 p, 1 b, and 1 n when four letters picked without replacement from {r: 2, p: 5, n: 3, y: 2, b: 3}?
6/91
What is prob of picking 3 t when three letters picked without replacement from {t: 15, s: 4}?
455/969
What is prob of picking 1 j and 2 s when three letters picked without replacement from {s: 4, g: 1, f: 1, w: 4, j: 4, x: 5}?
8/323
Calculate prob of picking 1 n and 2 f when three letters picked without replacement from nfffffffffff.
1/4
Four letters picked without replacement from lllhleelhwllellllle. What is prob of picking 1 l, 1 h, and 2 e?
12/323
Calculate prob of picking 2 y when two letters picked without replacement from yyvy.
1/2
Calculate prob of picking 3 a when three letters picked without replacement from {n: 5, m: 1, a: 4}.
1/30
Three letters picked without replacement from {y: 8, c: 3}. Give prob of picking 2 y and 1 c.
28/55
Three letters picked without replacement from ytmytmytbyntmmynybnb. What is prob of picking 2 t and 1 n?
3/190
What is prob of picking 1 t and 3 s when four letters picked without replacement from {s: 1, t: 1, z: 1, i: 1, n: 6, a: 1}?
0
Four letters picked without replacement from dkktkdttktkkkktk. What is prob of picking 3 k and 1 t?
3/13
Two letters picked without replacement from kxxlv. Give prob of picking 1 k and 1 v.
1/10
What is prob of picking 2 y when two letters picked without replacement from aqaaaqabyqaeyyawey?
2/51
Calculate prob of picking 1 f and 1 s when two letters picked without replacement from esf.
1/3
Two letters picked without replacement from yyjg. What is prob of picking 1 j and 1 g?
1/6
Two letters picked without replacement from bxlsxsxlusmumbs. Give prob of picking 1 s and 1 l.
8/105
What is prob of picking 1 e and 1 k when two letters picked without replacement from geykyyyx?
1/28
Four letters picked without replacement from {v: 3, r: 2}. What is prob of picking 2 r and 2 v?
3/5
Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 1, d: 1, p: 6, l: 3, q: 6, x: 1}.
1/153
What is prob of picking 1 p and 1 f when two letters picked without replacement from ffppfpp?
4/7
Two letters picked without replacement from xasvxsnaxgs. What is prob of picking 1 n and 1 a?
2/55
Three letters picked without replacement from cciiccccccc. Give prob of picking 1 i and 2 c.
24/55
Three letters picked without replacement from bxyzjwyzj. What is prob of picking 1 w, 1 j, and 1 y?
1/21
What is prob of picking 1 f and 2 x when three letters picked without replacement from {x: 3, f: 2, p: 1, r: 1}?
6/35
Four letters picked without replacement from xcxcccccxccccx. Give prob of picking 4 c.
30/143
Calculate prob of picking 2 q when two letters picked without replacement from {b: 1, v: 6, q: 6, m: 4}.
15/136
Two letters picked without replacement from ubftuoy. What is prob of picking 1 b and 1 t?
1/21
Two letters picked without replacement from {z: 4, e: 6}. What is prob of picking 2 e?
1/3
Three letters picked without replacement from hshh. What is prob of picking 3 h?
1/4
Three letters picked without replacement from {k: 2, z: 3}. Give prob of picking 2 z and 1 k.
3/5
Two letters picked without replacement from {q: 7, j: 1, f: 1, k: 1, p: 7}. Give prob of picking 1 q and 1 j.
7/136
Four letters picked without replacement from mmqlllooplqloqfmqlo. Give prob of picking 1 m, 1 q, and 2 l.
15/323
Two letters picked without replacement from araaoajjrooo. Give prob of picking 2 j.
1/66
Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {t: 1, i: 2, x: 1, q: 2, a: 1, l: 1}.
1/14
Two letters picked without replacement from {m: 5, v: 1, b: 1, l: 4, f: 4}. What is prob of picking 1 f and 1 m?
4/21
Three letters picked without replacement from ggggg. What is prob of picking 3 g?
1
Two letters picked without replacement from {a: 3, i: 4, f: 4}. What is prob of picking 1 a and 1 f?
12/55
Calculate prob of picking 1 c, 1 t, and 2 v when four letters picked without replacement from {t: 3, w: 8, v: 2, c: 6}.
3/646
Four letters picked without replacement from {w: 10}. What is prob of picking 4 w?
1
Calculate prob of picking 1 e and 1 i when two letters picked without replacement from ejieijee.
2/7
Two letters picked without replacement from rssbbbuqrr. What is prob of picking 1 q and 1 r?
1/15
Calculate prob of picking 1 h, 1 s, and 2 k when four letters picked without replacement from kkhkyknhnnykksyknn.
7/510
What is prob of picking 1 a and 1 s when two letters picked without replacement from zbboaqsas?
1/9
What is prob of picking 3 b when three letters picked without replacement from {m: 1, b: 11, w: 6}?
55/272
Three letters picked without replacement from qzqqqqqz. What is prob of picking 3 q?
5/14
What is prob of picking 2 j and 1 b when three letters picked without replacement from {e: 3, j: 3, b: 5}?
1/11
What is prob of picking 4 s when four letters picked without replacement from ssssssdsssssdsssdsss?
28/57
Three letters picked without replacement from {z: 2, m: 2, y: 4, c: 1, u: 2, h: 1}. What is prob of picking 2 u and 1 z?
1/110
Calculate prob of picking 1 l and 1 m when two letters picked without replacement from ljmljlljcljlcl.
1/13
What is prob of picking 1 p and 1 g when two letters picked without replacement from ppdpggopdgop?
5/22
Two letters picked without replacement from {q: 2, l: 1, g: 1, z: 2, p: 8}. Give prob of picking 1 p and 1 l.
8/91
Calculate prob of picking 4 f when four letters picked without replacement from fffwffffxff.
21/55
Two letters picked without replacement from {s: 6, r: 3, i: 4}. What is prob of picking 2 r?
1/26
Two letters picked without replacement from {i: 1, t: 1, p: 3}. What is prob of picking 1 p and 1 i?
3/10
Four letters picked without replacement from {c: 7, t: 2, h: 1, k: 4, e: 4}. What is prob of picking 2 k, 1 t, and 1 h?
1/255
Three letters picked without replacement from {z: 1, i: 3, u: 5}. What is prob of picking 1 z and 2 u?
5/42
Two letters picked without replacement from hhihzhzizzhz. What is prob of picking 1 z and 1 h?
25/66
What is prob of picking 1 a and 1 n when two letters picked without replacement from ajaisasnants?
4/33
Two letters picked without replacement from {k: 7, d: 1, f: 6, s: 1, e: 2}. Give prob of picking 1 s and 1 e.
1/68
Two letters picked without replacement from {e: 2, o: 1, f: 1, h: 1, q: 1, w: 1}. What is prob of picking 1 q and 1 e?
2/21
What is prob of picking 1 l and 1 v when two letters picked without replacement from lparrpmv?
1/28
Three letters picked without replacement from {a: 3, l: 10, g: 2, d: 1, i: 1, s: 2}. Give prob of picking 2 l and 1 d.
15/323
Three letters picked | {
"pile_set_name": "DM Mathematics"
} |
equal to b?
True
Let q = -102 + 117.5. Let c = q + -12.5. Is -8 smaller than c?
True
Let j be (-4)/(-4) - 1*-66. Is 67 less than j?
False
Let g be ((-2)/4)/((-1)/14). Let r be -5*(-12)/(-50)*(-1 + -4). Let y = g - r. Is y greater than or equal to 2/19?
True
Suppose 163*v = 165*v - 334. Are v and 168 equal?
False
Let f = 35 + -15. Let b = 26 - f. Is b > 6?
False
Let g = -104.584 - -104.7. Are 0 and g unequal?
True
Let n = -0.684 + 36.684. Which is bigger: n or 1/8?
n
Let l(u) = -67*u + 477. Let s be l(7). Let t be (-78)/(-10) + 1/5. Are s and t equal?
True
Let w be -3*-3*(3 - 8/3). Suppose 0 = v + 39 + w. Which is greater: v or -1?
-1
Let t = -285660439161940849973/3558776 + 80269294600712. Let f = 2/23413 + t. Let r = f - 5/8. Do 1 and r have different values?
True
Let t = 5.01 - 0.01. Let x = t + -10. Let s = x + 4. Which is bigger: -2/15 or s?
-2/15
Let v = 299 - 372. Let t(g) = -g**2 - 9. Let w be t(-8). Is w at least as big as v?
True
Let b = 939 - 692. Which is bigger: 248 or b?
248
Let x be ((-36)/150*5)/(6/(-1412)). Which is greater: 281 or x?
x
Let z be -4 + -1 - (-1904)/51. Is 33 smaller than z?
False
Let j = 14.04 + -0.04. Which is greater: -18 or j?
j
Suppose 154*q = 147*q - 21. Which is smaller: q or -16?
-16
Let y be -3 - (18536/645)/(-8). Let o = y + 1/129. Which is bigger: -2 or o?
o
Let a = 24 + 15. Let n = 41 - a. Is n not equal to 6?
True
Let m be 103170/72 - 4/(16/3). Let w = -1424 + m. Which is greater: 9 or w?
9
Let v be (-1)/(12/(12/(-4))). Is v greater than -0.39?
True
Let x be (13/2)/((-2)/(-20)). Is 66 equal to x?
False
Suppose 4*w - 4*o + 16 = 0, o + 12 = -5*w + 4*o. Suppose w = 14*v - 12*v + 26. Suppose -36 = y + 2*y. Which is bigger: y or v?
y
Suppose 102*p - 26*p = 26524. Is 348 smaller than p?
True
Let f be ((9/(-3))/12)/((-2)/(-8)). Which is greater: 3/83 or f?
3/83
Let r = -7.3 + -25.7. Let b = r - -70. Which is smaller: b or -0.1?
-0.1
Let i be 54/12 + (-1)/2. Suppose -5*n + i*u + 2 = 0, -n - 2*u + 0 = -6. Let k = 7 - 5. Is n != k?
False
Let t = -41794/25 + 1673. Which is greater: t or 1?
t
Suppose -2*o = -7*o - 12775. Let m = o - -9827/4. Let c = 97 + m. Which is smaller: 0 or c?
c
Let z be ((-18)/(-69))/((-3)/3). Let n = -5 - -4. Which is smaller: z or n?
n
Let d be (-184)/(-182) - 4/14. Let a = d + -4/7. Let i = -66/5 - -13. Which is bigger: i or a?
a
Suppose 8 = -7*q + 3*q. Let h be (-2)/(2380/3814) - q. Let a = h + 36/35. Which is bigger: 1 or a?
1
Let l be (-3)/(-5) + 136/(-85) - -49. Let a = 157/3 - l. Which is smaller: a or 5?
a
Let g = -1249/9991 - -15/103. Let t = g + -111/679. Suppose 17*a - 26 = -43. Is a at least as big as t?
False
Suppose -p - 3*u - 19 = u, -5*p = u. Let d(g) = -g**3 - 28*g**2 - 28*g - 27. Let k be d(-27). Suppose k + 17 = 17*h. Is h <= p?
True
Suppose -2*k = -4*t - 6, 4*t = -0*t - k + 3. Suppose t = -5*o + 4*o + 9. Is o at least 8?
True
Suppose -2*n - 2 = -5*j + 2, 0 = -3*n + 2*j + 5. Let t be (0 - n)*(2 - -3). Let m = -14 - t. Which is smaller: 0 or m?
0
Suppose 13*h = 610 - 116. Let q = 128 + -72. Let z = h - q. Is z <= -18?
True
Suppose u - 6*u - 55 = 0. Suppose -5*i + 3*q + 8 = 0, -3*i - 3*q + 10 = -14. Suppose a - i*a = 33. Is a >= u?
True
Let k = 3 + -3.4. Let g = -11.75 + 11.7. Do k and g have different values?
True
Suppose 2 = -2*p + 6. Suppose s + 3*r = 4*s + 12, -3*r + 11 = -4*s. Let a be -2 - -4 - (2 - s). Is a not equal to p?
True
Suppose -2*t - 88 = 3*h, 7*t + 245 = 2*t + 5*h. Let p = t + 48. Is 3/4 less than p?
True
Let l = -1389 + 1389.2. Let v = -1.6 + 2. Is v greater than or equal to l?
True
Let a(l) = -21*l**2 + 5*l + 9. Let u(b) = 5*b**2 - b - 2. Let z(r) = 2*a(r) + 9*u(r). Let m be z(2). Let p = m + -22. Is p <= -8?
True
Let k = 0.12 - 0.52. Let q = 1.4 + k. Which is bigger: -84 or q?
q
Suppose 0 = 3*a - n + 2*n - 14, 0 = 3*a + 5*n - 10. Suppose -5*w + 4*d = -39, w - a*d - 12 = -0. Which is greater: 8 or w?
8
Let u(z) = z**3 + 10*z**2 + 9*z + 4. Let d be u(-9). Suppose d*a - 173 = -4*k + 3*a, 0 = -3*k + 3*a + 141. Is 44 bigger than k?
False
Let w(i) = -i**2 - 97*i + 728. Let j be w(7). Let k = -66748/129 - -1552/3. Do j and k have different values?
True
Let h(b) = -b**2 + 7*b + 32. Suppose t + 52 = 62. Let v be h(t). Is v equal to 4?
False
Let o = 1552 - 2797. Is o less than -1245?
False
Let k be -13 + 8/(2 - 0). Let y be (5 - 1) + -2 + k. Let z = y + 8. Are z and 2/9 unequal?
True
Suppose 4*f - 171 = 3*h, 3*f + 101 = 110. Is -0.07 greater than or equal to h?
True
Let a = 9 + -10. Let u be (28/(-21))/(19/(-3)). Which is smaller: a or u?
a
Let o = 7 + -4. Suppose -55 = 2*p + o*p. Let u = -3 - p. Is u less than 9?
True
Suppose -2*b = 2*b - 4*j - 76, 0 = -4*b + 5*j + 79. Let r(z) = -3*z + 43. Let h be r(b). Which is greater: h or -25/7?
-25/7
Let i(m) be the first derivative of -5*m**2/2 + 9*m - 15. Let x be i(2). Is 1/20 at most x?
False
Suppose -4*m - 2*c - 6 = 0, m = 3*c + 6 - 18. Let u be 10*-1 + (0 - -1). Let w = u - m. Do -14/3 and w have the same value?
False
Let s = -20 + 28. Let h = -1 + -11. Let w = h + s. Which is greater: w or 2/3?
2/3
Let q be 2126/41*(3 - 5)/24. Let m = -20/41 - q. Which is greater: m or 5?
5
Let j = -6823 + 6819.699. Let s = 0.001 + j. Let x = -14.3 - s. Is -1 smaller than x?
False
Let p = 1480 + -1650. Which is smaller: 3 or p?
p
Let s = 5 + -6. Suppose 0 = -6*h + 30. Suppose 2*a - 25 = -a + 2*q, 4*q = -h*a + 71. Is s at most a?
True
Let m = -113 + 77. Let p be ((-1)/2)/(2/m). Suppose 0*y = 3*y + p, t = 4*y + 18. Which is bigger: 3 or t?
t
Let y = -924.1 - -924. Let j = 24 - 27.4. Is j smaller than y?
True
Let u be (8/12)/((-2)/(-27)). Suppose 2*d = 3 - u. Let a be d/15*-4*-5. Which is smaller: a or -3?
a
Suppose 17 = 4*t + 5. Let v = -21 + 27. Suppose 3 + v = -t*j. Is j at least as big as -1?
False
Let n be 142/355 - (-64)/(-10). Suppose -4 = w, -5 = -3*s - 0*s - w. Suppose s*y + 16 = 1. Which is bigger: n or y?
y
Let u be (3 + (-12)/(-3))*1. Let j(i) = i**3 - i**2 + i + 5. Let f be j(0). Is u less than f?
False
Let h(n) = 2*n**2 - 2*n + 5. Let g be h(0). Let p = g + 12. Suppose 7*x + z = 4*x + 10, 0 = -5*x - 2*z + p. Which is bigger: x or 1?
x
Let s = -3 + 4. Let n = 2784 + -295103/106. Is s at most n?
False
Let c be (-1 + 0)/(2/2). Let n be 192/240 - ((-18)/(-5) - 2). Which is bigger: n or c?
n
Let g be (((-42)/(-4))/3)/1. Suppose b - 5*p = -4, 5*b - 2*p = 3*p + 40. Suppose 0 = 5*w - b - 14. Which is smaller: g or w?
g
Let c(f) = -f**2 - 7*f. Let h be c(-4). Let g = 19 - h. Suppose v + 2*y = g*y + 1, 1 = v - y. Is v > 2/47?
True
Suppose 2*a + t + 13 = -4*t, 4*a + 3*t + 5 = 0. Let z be ((-1)/(-2)*-1)/(-19). Let k = z - -51/950. Is a < k?
False
Let p = 177503/131 + -1355. Let t = p - -1713/655. Which is bigger: 3 or t?
3
Let m be 9/33*(1084/(-156) - -7). Suppose -d = 2*d. Which is smaller: d or m?
d
Let l be 3*(-56)/12*4/8. Suppose 5*z = -19 + 54. Let b(m) = m**3 - 7*m**2 - m + 2. Let u be b(z). Which is greater: u or l?
u
Let o(l) = -l**2 - 7*l + 9. Let q be o(-5). Let f = 9 + 11. Which is bigger: q or f?
f
Let p = 0.02 + 1.98. Let l be (-14)/(-1)*(2 - (-6)/(-4)). Let v be (28/(-6))/l*6/8. Which is greater: v or p?
p
Let x be ((-1720)/18)/((-4)/(-6)). Let v = 143 + x. Let l = -17 + 61/3. Are l and v nonequal?
True
Let o = -1174/105 - -82/15. Suppose -x - 28 = 3*x. Are o and x equal?
False
Let b(n) = -n**3 + 18*n**2 - 16*n - 20. Let t = -5 - 7. Let h = t - -29. Let x be b(h). Are -5 and x unequal?
True
Suppose 14 + 16 = 6*o. Suppose x = 2*x - t + 3, -x - 3*t + o = 0. Let d be (-2)/((-52)/30) - 1. Which is bigger: x or d?
d
Let z = 13.1 + -0.1. Let l = -12 + z. Is -1/12 smaller than l?
True
Let t = 13298 + -13296. Let q be (5 - 1)/((-202)/2). Let l = q + 416/303. Which is smaller: l or t?
l
Let x = 117 + -124. Which is greater: x or -12?
x
Let w = -1.036 - -1.11. Let m = w - 5.674. Which is bigger: m or -0.1?
-0.1
Suppose 0 = 5*q - 65 + 30. Suppose -j - 199 = 3*v, 2*v - 4*j = q*v + 320. Is -135/2 at least v?
True
Let g = -224/5 + 1339/30. Let w(r) = r + 7. Let b be w(5). Suppose 0 = -d - 5*v - 20, 2*d - 6*v - b = -3*v. Which is bigger: g or d?
d
Let r = 17.9 + -13. Let o = -5 + r. Let n = -39 - -34. Is o greater than n?
True
Let l(x) = x - 11. Let z(d) = d**2 + 4*d + 3. Let k be z(-5). Let u be l(k). Do -12 and u have the sam | {
"pile_set_name": "DM Mathematics"
} |
ppose 0 = -4*l - p + 8, -84 + 86 = -2*l + p. Put l, -259, -5 in decreasing order.
l, -5, -259
Let s = -2642 + 475. Sort 2, 5, s in ascending order.
s, 2, 5
Suppose -2*o = -m - 48, -2*o + 228 = -25*m + 21*m. Sort 0, -11, 1, m in descending order.
1, 0, -11, m
Let d = -8/23 - -111/253. Let c = 167 + -165. Let x be 47*(-4)/32 + 6. Sort d, x, c in descending order.
c, x, d
Let i(c) = -c**3 - 7*c**2 + 5*c + 71. Suppose -137*s + 130*s - 42 = 0. Let v be i(s). Sort 4, 3, v in decreasing order.
v, 4, 3
Suppose -2*x + 5*o = -34, 111 = 3*o + 105. Sort x, -4, 9, -2.
-4, -2, 9, x
Let r = -153 - -81. Let p = r + 72. Sort 3, 2, p, -6.
-6, p, 2, 3
Let t be ((-180)/(-20) + -11)*((-2)/1 - -3). Put -1, t, -5, -788 in decreasing order.
-1, t, -5, -788
Let u = 180.2 + -182. Let a = -93 - -95. Put 0, a, u, -2/7 in descending order.
a, 0, -2/7, u
Suppose 0 = 213*d + 300 + 552. Put -4/9, d, -1226 in increasing order.
-1226, d, -4/9
Let u = -375/7 + 54. Let f = 101.8 - 114.08. Let r = -10.28 - f. Sort 5, u, r in decreasing order.
5, r, u
Let x be 15/6*(-10)/(-25) - -3. Suppose x*h + 8 = 0, d - h + 5 = -6*h. Let g = -0.8 - -1.1. Put 1/3, d, g in decreasing order.
d, 1/3, g
Let d be (2365/(-198) - -12)*15 + 38/(-24). Sort -0.3, -4/5, d, -3, -4/3 in decreasing order.
-0.3, d, -4/5, -4/3, -3
Suppose -78 = -t + 4*t. Let r be (t/(-6))/((-7)/(-21)) + -1. Let n be 3/r + (-3)/24*26. Sort n, 0, 0.2.
n, 0, 0.2
Let b = -2.77 + -1.95. Let o = 0.22 + b. Let j = o - -1.5. Sort j, -7, -5 in increasing order.
-7, -5, j
Suppose 86 = 5*z - 2*m, -8*z = -3*z + m - 92. Let h be 333/(-370)*((-8)/z)/1. Put -1/2, h, 1/7, -6 in descending order.
h, 1/7, -1/2, -6
Suppose -3865*z + 3898*z = -396. Sort -49, 1, -1, z in increasing order.
-49, z, -1, 1
Let b(c) = -3*c - 2. Suppose 7*r - 11*r = -4. Let y be b(r). Let v(z) = z**2 + 3*z - 10. Let m be v(-5). Sort 8, m, y.
y, m, 8
Suppose i = -5*f + 7, -3*i - 6 - 3 = 0. Suppose 0 = -f*o - o + 8*o. Suppose o = 2*k - 4 + 6. Sort -3, -22, k.
-22, -3, k
Let i = -6 + 3. Suppose 35 = -6*p + 77. Suppose 17 = -12*y - p. Put y, -1, i in descending order.
-1, y, i
Let o be (-2970)/(-40) + 3/(-12). Let x = 0 + o. Let r = x + -76. Put -7, r, 2 in ascending order.
-7, r, 2
Let p = 5522 - 5487. Put -2, 3/7, -1/4, p in ascending order.
-2, -1/4, 3/7, p
Let a(c) = -2*c**3 - 21*c**2 + 9*c - 21. Let m be a(-11). Sort -3, -8, -55, m in decreasing order.
m, -3, -8, -55
Let a(x) = -x**3 - 11*x**2 + 14*x + 29. Let q be a(-12). Sort -5, -433, q in decreasing order.
q, -5, -433
Let t be -1*(6 - 1*40/4). Sort 55, t, 0 in decreasing order.
55, t, 0
Let t = -1400/9 + 1415/9. Let i = -0.37 + 0.07. Sort t, -4.9, i, 0.4 in increasing order.
-4.9, i, 0.4, t
Let i be (0 - (4 + -7 + 3)) + -8. Put 0.5, 21, -0.5, i in descending order.
21, 0.5, -0.5, i
Let w = -52.15 + -0.85. Let v = 1147.9 + -1094. Let y = w + v. Sort -0.2, y, 1 in decreasing order.
1, y, -0.2
Let b(w) = -w**3 - 325*w**2 + 647*w + 10. Let r be b(2). Let d(m) = m**3 - 2*m**2 - 3*m - 2. Let q be d(-4). Put r, -1, q, -2 in increasing order.
q, r, -2, -1
Let i = -171 + 106. Let w be (-5 - -2)*12/36. Sort 4, i, 5, w in ascending order.
i, w, 4, 5
Suppose -7 = -5*g + i, 2*i + 3 = 4*g + 1. Suppose 3*c = 2*n - 2, c + 10 = 3*n - 0*c. Let a be ((1 - n) + 2)/1. Put 3, g, 1, a in decreasing order.
3, g, 1, a
Let v be 2/((-9)/((-1116)/(-8))). Let g = 36 + v. Suppose -g = 4*f - 41. Sort 4, f, -3 in increasing order.
-3, 4, f
Let x = -3.7501 + 6.7501. Let r = 0 + 0. Put -3, r, x, -2 in increasing order.
-3, -2, r, x
Let d(n) = 3*n**3 + n**2 + 5*n - 119. Let b be d(4). Sort b, -7, -4 in increasing order.
-7, -4, b
Let f = 334.4 - 371. Let b = -34.6 - f. Sort -1/5, -2/7, b, -2/5.
-2/5, -2/7, -1/5, b
Let f(w) = 9*w**2 + 119*w + 131. Let o be f(-12). Let x be 2/6*3/1. Sort x, 0, o, -33 in ascending order.
-33, o, 0, x
Let c be (2/8)/((-139)/12232). Sort -5, c, 9 in ascending order.
c, -5, 9
Suppose -5*c + 17 + 8 = 0. Suppose -285 = 82*z + 453. Sort c, -1, z.
z, -1, c
Let v(p) = p**3 + 16*p**2 + 58*p + 33. Let g be v(-11). Put -2/9, 14, 3, g in decreasing order.
14, 3, g, -2/9
Let l = 2927.2 - 3026.2. Sort -16, l, 2/11, -5 in increasing order.
l, -16, -5, 2/11
Suppose -75*z = -103*z + 140. Sort -1, 21, z, 2 in decreasing order.
21, z, 2, -1
Let m be (-2 - 70/(-25))/((-80)/25 + 6). Sort -671, m, -2, 0 in ascending order.
-671, -2, 0, m
Suppose 0 = -2*a + a - 5*f - 24, -a + 21 = -4*f. Let u be (-9 - -12)/((-3)/4). Let y = 153 + -150. Sort 4, y, u, a in increasing order.
u, a, y, 4
Suppose -129*m = -101*m - 84. Sort -46, m, 2, -1.
-46, -1, 2, m
Let a = 2.2581 + -1.8581. Sort -5, 4, 1, -37/20, a in descending order.
4, 1, a, -37/20, -5
Let o(d) = 41 - d + 4*d + 12*d - 12. Let b be o(-2). Sort 32, b, -3 in increasing order.
-3, b, 32
Let v = 11762 + -11772.558. Let z = v + -0.042. Let f = -10.2 - z. Sort -3, -0.5, f in descending order.
f, -0.5, -3
Suppose -16 = 2*i - 0*g + 2*g, 4*i + 52 = g. Let a = -10 - i. Let u be (-5 + 60/11)*a/5. Sort u, -4, -1/5 in descending order.
u, -1/5, -4
Let l = -4095.9 - -4095. Sort -5, l, -25/3 in descending order.
l, -5, -25/3
Suppose -65 = 2*d + 29. Suppose -5 = -3*t - p - 3*p, 0 = -2*t + 5*p - 35. Put d, t, 1 in ascending order.
d, t, 1
Let y be (3/(-12) - 141/(-84))/(4/14). Sort 2, y, -1, 8, 1 in increasing order.
-1, 1, 2, y, 8
Let t = -0.5 + 0.44. Let h = -194.84 + 195.9. Let i = t + h. Sort -0.3, i, 5 in ascending order.
-0.3, i, 5
Let v = -6281 - -6285.193. Let z = 0.193 - v. Sort 87, z, -5 in increasing order.
-5, z, 87
Let a = -12/7 - 13/21. Let d = -2.7682 - 0.2318. Sort d, 1, a in ascending order.
d, a, 1
Let p(l) = l - 19. Let a be p(8). Let i = 69 - a. Let q be 2/6*1 + i/12. Put q, -1, 2 in increasing order.
-1, 2, q
Suppose 900 = 6*y + 14*y. Let s be (-4)/(96/27)*(-60)/y. Put -2/5, 4, s, -2/17 in ascending order.
-2/5, -2/17, s, 4
Let m = -8.36 + 8.4. Let n = -0.14 + m. Let o be (1 - 1) + (5 - 9). Put -0.02, o, n in descending order.
-0.02, n, o
Let g(p) = p**2 + 291*p + 4263. Let w be g(0). Sort w, -2, 2 in ascending order.
-2, 2, w
Let l = 14.564 - 6.564. Sort 0.3, -2/131, 2/21, l in increasing order.
-2/131, 2/21, 0.3, l
Let v be 10/(-8) + (-3)/(-4). Let c = -676 - -641. Sort c, 5/3, v in descending order.
5/3, v, c
Let c = -2.32 - -1.82. Let q = -1.21 + 1.61. Let m = 0.08 - 0. Put 3, c, m, q in descending order.
3, q, m, c
Let k = -22.17 - -21.77. Sort 3, -5, k, 2.1.
-5, k, 2.1, 3
Let q = 464.4 + -464.5. Put 1/11, q, 14/5 in decreasing order.
14/5, 1/11, q
Let v = 555 - 4997/9. Let t(a) = 5*a**3 + a**2 - a + 2. Let c be t(-2). Let n be (30/c)/(6/(-8)). Sort -0.04, n, v.
v, -0.04, n
Let j(n) = n**2 + 462*n + 1832. Let r be j(-4). Sort r, -4, 7, 10 in decreasing order.
10, 7, r, -4
Suppose 302*q - 292*q + 90 = 0. Put -4, -5, q in ascending order.
q, -5, -4
Suppose 273*a = 239*a + 102. Put -9, 1, -3, 6, a in descending order.
6, a, 1, -3, -9
Let l = 4219 + -4214. Put 720, 0, l, -2, -3 in decreasing order.
720, l, 0, -2, -3
Let t be 94/88 + 40/220. Let o = 630 - 627. Sort -2, t, 14, o in decreasing order.
14, o, t, -2
Let b be (-2366)/(-35) + 4/10. Let n be b/12 + 4/(-6). Let g = 523 - 520. Put -5/3, g, n, -0.4 in descending order.
n, g, -0.4, -5/3
Suppose 353*y = 253*y - 400. Sort 27, 42, y in ascending order.
y, 27, 42
Let k be 159890/93810 + (-4)/106. Put -1/2, k, -14/5, -5, 0.1 in descending order.
k, 0.1, -1/2, -14/5, -5
Let p = 6366.4 + -6367. Sort 0, p, 3/2 in increasing order.
p, 0, 3/2
Let m = 182 + -183.66. Let o = 0.04 - m. Let y = -174 - -1393/8. Put o, 0.4, y in ascending order.
y, 0.4, o
Let m be 1/(-3) + 7/3. Suppose 0 = 2*t + w + 11, -4*t = -w - 245 + 264. Put m, 78, t in ascending order.
t, m, 78
Let x be 2/3 + 88/(-33). Let o be (27/(-4))/((-5)/20). Let w = o + -22. Put w, 0, x in decreasing order.
w, 0, x
Let y = -22 + 23.21. Let q = -1.61 + y. Sort -1, q, 3/4 in decreasing order.
3/4, q, -1
Suppose -45*a - 32 - 29 = -16. Put 19, a, 3 in ascending order.
a, 3, 19
Suppose 2*n - 84 = -n - u, -4*n + 2*u = -102. Let i be n/(-36) + 2*(-2)/16. Let t = -1 + -2. Sort t, i, 0.5 in decreasing order.
0.5, i, t
Let z(l) = -12*l**2 + 41*l - 11. Let w be z(3). Put -10, -4, -26, w in decreasing order.
w, -4, -10, -26
Let s = -0.3 - -0.1. Suppose -88*i - 35 = -93*i. Suppose i*f + 0*f = 2 | {
"pile_set_name": "DM Mathematics"
} |
- 2533536*x**3.
-10*x**3
Collect the terms in -3698317679*i + 3698317679*i + 2*i**2.
2*i**2
Collect the terms in -37*h - 37*h - 29*h + 952*h**3 - 29*h + 132*h.
952*h**3
Collect the terms in -9417*n**2 - 9652*n**2 + 19074*n**2.
5*n**2
Collect the terms in 121*v**2 + 490 + 109 - 6*v**2 - 4*v**2.
111*v**2 + 599
Collect the terms in -423*g - 2138*g - g**3 + 4214*g - g**3 + 4021*g.
-2*g**3 + 5674*g
Collect the terms in 2414*c + 0*c**2 - 3*c**3 - 850*c - 848*c + 0*c**2 - 716*c.
-3*c**3
Collect the terms in -12 + 788*x + 5*x**2 - 8*x**2 + 2100*x.
-3*x**2 + 2888*x - 12
Collect the terms in -45386 - 8921 + 4066 + 2*h - 22284.
2*h - 72525
Collect the terms in 6*t - 29952 - 6*t - 4*t**2 + 29963.
-4*t**2 + 11
Collect the terms in -12*g**3 + 160 - 347 - 48*g**3 + 187.
-60*g**3
Collect the terms in -15 + 108*w**2 + 31 - 13 - 855*w**2.
-747*w**2 + 3
Collect the terms in 16164*l + 50 - 50 - 16287*l.
-123*l
Collect the terms in -605315*m - 6 + 605315*m + 47*m**3.
47*m**3 - 6
Collect the terms in 4018682 - 4018682 + 497*h.
497*h
Collect the terms in 2109945*l**2 - 4220266*l**2 + 2109958*l**2.
-363*l**2
Collect the terms in 39*d - 11341714203 + d**2 + 11341714203.
d**2 + 39*d
Collect the terms in -1725 - 1732 - 1729 + 6909 + z - 1726 - 3*z.
-2*z - 3
Collect the terms in -417*z**2 + 771*z**2 + 2780*z**3 - 354*z**2 - 1943*z**3 + 5113*z**3.
5950*z**3
Collect the terms in -3 - 134255*g**2 + 135034*g**2 - g**3 + 3.
-g**3 + 779*g**2
Collect the terms in 85*i**2 + 310*i**2 - 1030*i**2 - 704*i**2.
-1339*i**2
Collect the terms in 2*i - 32 + 93*i**3 + 32 - 15*i**3.
78*i**3 + 2*i
Collect the terms in -31*q**3 + 33*q**3 - 113*q - 13*q - 33.
2*q**3 - 126*q - 33
Collect the terms in 393 - 785 - 1558 + 43424*z - 43422*z - 258.
2*z - 2208
Collect the terms in -605029 + 605029 + 752*t.
752*t
Collect the terms in -132*d**3 + 68*d**3 - 1587 + 48*d**3.
-16*d**3 - 1587
Collect the terms in 1755*g - g**2 - 615*g - 8 - 516*g - 624*g.
-g**2 - 8
Collect the terms in -9103*l - 9086*l - 9094*l + 36385*l - 9104*l.
-2*l
Collect the terms in 18896*s**3 - 9171*s**3 - 9730*s**3.
-5*s**3
Collect the terms in -11*q + 798*q**2 - 28*q**3 + 27*q**3 + 16 - 1920*q**2 - 2*q.
-q**3 - 1122*q**2 - 13*q + 16
Collect the terms in -695*v + 1417*v - 670*v.
52*v
Collect the terms in -245*z**3 - 143*z**3 - 170*z**3 - 13*z**3.
-571*z**3
Collect the terms in -208*m**2 + 10644*m - 10673*m - 224*m**2 + 51*m**2.
-381*m**2 - 29*m
Collect the terms in 42*h - 45553 + 91111 - 45558 - 47*h.
-5*h
Collect the terms in -19 + 17 + 252992*b + 2.
252992*b
Collect the terms in 100 - 3 - 61 - 261*f + 259*f.
-2*f + 36
Collect the terms in -58907*r + 58907*r + 3386*r**3 - 3359*r**3.
27*r**3
Collect the terms in -881*y**3 + 167*y**3 + 173*y**3 + 173*y**3 + 360*y**3.
-8*y**3
Collect the terms in 78*x - 77*x - 898 - 6*x**2 + 0*x**2 + 4*x**2.
-2*x**2 + x - 898
Collect the terms in 1080*g**2 + 1080*g**2 - 5401*g**2 + 1098*g**2 + 1063*g**2 + 1083*g**2.
3*g**2
Collect the terms in -2352451 + 4704910 - 2352448 + 38*c.
38*c + 11
Collect the terms in -38 - 36 - 15580*z + 74.
-15580*z
Collect the terms in -2249359281 + 2249359281 - 5*y.
-5*y
Collect the terms in 2033*w + 139 + 7724*w - 29 - 110.
9757*w
Collect the terms in 44*h - 298*h**2 + 24*h**2 + 264*h**2.
-10*h**2 + 44*h
Collect the terms in -71002*x + 7856*x - 156453*x.
-219599*x
Collect the terms in -12049*y + 24042*y - 27*y**3 - 11993*y.
-27*y**3
Collect the terms in -45*z**3 + 36*z**3 - 93*z**2 - 34 - 168*z**2 + 7*z**3.
-2*z**3 - 261*z**2 - 34
Collect the terms in 177*l + 586*l + 594*l - 1357*l + 9 + 2*l**2 - 9.
2*l**2
Collect the terms in -4746632774 - 4*u**3 + 2373316389 + 2373316385.
-4*u**3
Collect the terms in 376 - 261 - 616*y - 115.
-616*y
Collect the terms in -86 + 2606*s**3 - 3881*s**3 + 86.
-1275*s**3
Collect the terms in -1473*b + 635*b - 2029*b - 1343*b.
-4210*b
Collect the terms in -18*c - 66999 + 134028 - 67036.
-18*c - 7
Collect the terms in -767*j**2 + 1236*j**2 - 234*j**2 - 227*j**2.
8*j**2
Collect the terms in 259283*h**2 + 259270*h**2 - 518579*h**2.
-26*h**2
Collect the terms in -29477 + 59046 - 29569 - 2*b.
-2*b
Collect the terms in 73175*v - 2405*v + 41281*v - 7*v**3 - 5*v**3 + 13*v**3.
v**3 + 112051*v
Collect the terms in 312 + 2487*x - 2604*x - 312.
-117*x
Collect the terms in 484 - 937 + 453 + 34177*u**2.
34177*u**2
Collect the terms in -12*q + 0*q + 24*q + 3*q + 27 + 3*q + 3.
18*q + 30
Collect the terms in 12226*y**2 + 7*y**3 + 62 + 12220*y**2 - 24443*y**2.
7*y**3 + 3*y**2 + 62
Collect the terms in -30 - 34 + 11999*q**3 + 66.
11999*q**3 + 2
Collect the terms in 4 - 52 + 23 + 4342*o - 9.
4342*o - 34
Collect the terms in -1281*f + 5 + 1 - 891*f - 522*f + 0.
-2694*f + 6
Collect the terms in -1391988*r**2 - 1619871*r**2 + 0*r + 5*r.
-3011859*r**2 + 5*r
Collect the terms in -19 + 300*a - 78*a + 87*a + 319*a + 583*a.
1211*a - 19
Collect the terms in -141864312*d**3 + 70932161*d**3 - 18 - d**2 + 18 + d**2 + 70932149*d**3.
-2*d**3
Collect the terms in -3*c**2 + 49*c**3 + 343171 + 18*c - 343171.
49*c**3 - 3*c**2 + 18*c
Collect the terms in 2*l**3 + 13652*l - 27301*l - 4*l**3 + 35*l**3 + 13649*l.
33*l**3
Collect the terms in 387*q**3 + 117*q**3 - 831*q**3.
-327*q**3
Collect the terms in -2167*l**2 + 7071 - 28*l + 28*l + 7022 - 14093.
-2167*l**2
Collect the terms in -91725070 + 91725070 + 341*n**3.
341*n**3
Collect the terms in 202*n + 1099 - 100*n - 101*n + 645.
n + 1744
Collect the terms in 73671710 - 73671710 - 104*y.
-104*y
Collect the terms in 7*x**3 + 117 + 8*x**3 + 1763 - 11*x**3 - 6*x**3.
-2*x**3 + 1880
Collect the terms in -38974*q - 38974*q - 39110*q + 156032*q - 38972*q.
2*q
Collect the terms in -32 + 490*p - 137*p - 131*p - 131*p - 103*p + 32.
-12*p
Collect the terms in -q**3 + 399 - 399 - 611919*q**2.
-q**3 - 611919*q**2
Collect the terms in 3870*i**3 + 2789*i**3 + 271*i**3 - 377*i**3.
6553*i**3
Collect the terms in 24*t**2 + 969*t + 962*t - 2697*t + 766*t.
24*t**2
Collect the terms in 344*r**2 + 1287*r**2 + 445*r**2 - 161*r**2.
1915*r**2
Collect the terms in 4806*c - 18*c**2 + 33*c**2 - 2436*c - 2370*c.
15*c**2
Collect the terms in -78*l**2 - 67*l**2 + 236*l**2 + 41*l - 3*l - 81*l**2.
10*l**2 + 38*l
Collect the terms in -61*g - 2*g**2 + 84*g + 3*g**2 + 3*g**3 + 56*g + 36*g.
3*g**3 + g**2 + 115*g
Collect the terms in -11812 + 0*p + p + 11815 - 2112*p**2.
-2112*p**2 + p + 3
Collect the terms in 5583*x**2 - 16863*x**2 + 11275*x**2.
-5*x**2
Collect the terms in 1827760*z**3 + 1827464*z**3 - 3654629*z**3.
595*z**3
Collect the terms in 12692642*x - 1 - 274*x**2 - 12692644*x + 0.
-274*x**2 - 2*x - 1
Collect the terms in -2384357*x**2 + 14 - 4 + 2384365*x**2.
8*x**2 + 10
Collect the terms in -1031443*d - 1031397*d + 4125634*d - 1031394*d - 1031401*d.
-d
Collect the terms in -94*r - 1172593 + 1172582 + 17*r.
-77*r - 11
Collect the terms in -46*d**2 - 340*d + 47*d**2 - 9364 + 9364 + 340*d.
d**2
Collect the terms in 276 - 593439*m - 560 + 593439*m - 14*m**2 + 284.
-14*m**2
Collect the terms in -1407744*z + 1407744*z + 224*z**2.
224*z**2
Collect the terms in -2718356*d + 2718356*d - 61*d**3.
-61*d**3
Collect the terms in 977518041201 - 977518041201 - 9*d**3.
-9*d**3
Collect the terms in -3540*u - 3538*u + 10678*u + 3 - 3625*u.
-25*u + 3
Collect the terms in -470 - 107*r**2 + 945 - 475.
-107*r**2
Collect the terms in 23*k**3 - 214562 + 15*k**3 + 34*k**3 + 214562 + 2*k**2 - 42*k**3.
30*k**3 + 2*k**2
Collect the terms in -22 + 245 + 34*b - 59 - 60 - 104.
34*b
Collect the terms in 17521*v - 2*v**2 + 17522*v - 2 - 52571*v + 17528*v.
-2*v**2 - 2
Collect the terms in 2205660 - 735223 - 735222 - 4*w**2 - 735215.
-4*w**2
Collect the terms in 45991*q + 1141*q**2 - 92012*q + 46021*q.
1141*q**2
Collect the terms in 44791*h - 89605*h + 44813*h.
-h
Collect the terms in 1396*a - 4194*a + 1375*a + 1371*a.
-52*a
Collect the terms in -57*g**2 + 0*g**2 - 2*g**2 + 8*g**3 + 8*g**2 + g**2 + 50*g**2.
8*g**3
Collect the terms in 21787*q**3 + 798006*q**3 + 1296911*q**3 + 114329*q**3 - 129000*q**3.
2102033*q**3
Collect the terms in 2314487*u**2 + 2*u - 8 - 771500*u**2 - 771499*u**2 - 771491*u**2 - 2*u.
-3*u**2 - 8
Collect the terms in 6*q**3 + 7 - 9*q**3 - 3*q**3 + 136*q + 29*q**2.
-6*q**3 + 29*q**2 + 136*q + 7
Collect the terms in -5151*g**2 + 3990*g**2 - 8037*g**2.
-9198*g**2
Collect | {
"pile_set_name": "DM Mathematics"
} |
2) + (-1 - 2). Suppose 0 = -4*j - 2*f - 522, 5*f = w*j + 262 + 149. Let p be (-2)/9 + j/(-108). Are 6/5 and p unequal?
True
Let u = -143 - -293/2. Let j = u - 3. Is 0 at least j?
False
Suppose 0 = -4*r - 4*m - 24, 2*m = 5*r - 3*m + 20. Let n(p) = p**2 + 6*p + 4. Let a be n(r). Which is smaller: -22 or a?
-22
Suppose -68*m + 444 = 104. Let q = -22209/8 - -2781. Does m = q?
False
Suppose h = -h + 4. Suppose -5*u - h*l = 6, 4*l = l - 9. Let p = 1902/25 - 76. Which is bigger: p or u?
p
Let j = 2 - 3. Let w be (-195*5)/(6/4). Let q be w/234 - 4/18. Are j and q nonequal?
True
Let h be (-3456)/(-132) + 2*(-1)/11. Are 1 and h unequal?
True
Let m be 186/14 - (-9 - -14). Which is bigger: m or 7?
m
Suppose -5*z - 2 = -a, -2*z - 12 = -5*a - 2. Let x = a + 2. Suppose -x*f + 5*w = -5, 4 = -2*f + 2*w - 6*w. Which is smaller: f or -4/7?
-4/7
Let g = -6 + 9. Suppose 0 = -2*i - g*i. Is i less than or equal to 3/23?
True
Let r = -0.15 - -0.12. Let v = r - 9.97. Let s = v - -9.94. Is s less than 0?
True
Let k = 0.9 + -2.7. Let u = 1.9 + k. Which is smaller: u or 4?
u
Let m be 114/(-171) + 1021/(-3). Is m greater than -342?
True
Let k be (-366)/4 - (-4)/(-8). Let q be 4/16 - k/16. Suppose 1 = 7*z - q*z. Which is bigger: -1/5 or z?
z
Suppose -20 = -5*q - t, 0 = -t - t. Suppose 13 = h + 3*h + u, 2*u + 14 = 2*h. Let m be 2*(-2)/h - -3. Is q > m?
True
Suppose -o = 2*s + 39, -3*s - 2*o - o - 66 = 0. Which is smaller: -6 or s?
s
Suppose 3*c - p + 419 = 0, 4*c - 5*c = -2*p + 138. Which is smaller: -142 or c?
-142
Suppose -s - 2*s = -0*s. Suppose 4*u + 2*x + 128 = s, -2*u = -2*x + 39 + 25. Which is greater: -31 or u?
-31
Let u = 572 - 573. Which is bigger: u or 2/1237?
2/1237
Suppose 0*h + 6*h = 42. Suppose 51 = 2*j + 5*a + 18, -3*j + a = -h. Let c be (3/j)/(114/(-48)). Is 1 at most as big as c?
False
Let k(f) = -f**2 + 3*f - 3. Let i be k(3). Let g(m) = m**2 + 4*m - 6. Let z be g(i). Which is bigger: z or -10?
z
Let i = -191 - -190. Which is greater: i or -2?
i
Let k = 228 + -408. Let n be (-4)/(64/(-6))*16/k. Which is smaller: 0 or n?
n
Let k = 569 - 19343/34. Let n(c) = -14*c - 84. Let f be n(-6). Is k <= f?
False
Let b = -2 + -12. Let k be (-7)/b + (-26)/(-4). Which is bigger: k or 8?
8
Suppose -r - 3*z - 2*z = 20, -20 = -3*r + 5*z. Is 3/139 bigger than r?
True
Suppose 2*l + 2*q - 30 = 0, -13*q + 47 = 3*l - 9*q. Do l and 12 have different values?
True
Let p = -2196 - -2144. Which is smaller: -56 or p?
-56
Let q(w) = w**2 - 3*w - 5. Let l be q(-2). Suppose l*u = -4 - 6, 4*v - 4*u = 0. Which is greater: -7 or v?
v
Suppose -t + 5*h - 773 = 0, -5*h + 3781 = -5*t - h. Let m = t + 3778/5. Which is greater: 2 or m?
m
Suppose -41*u = -58*u. Which is smaller: -3/34 or u?
-3/34
Let s(n) = -3*n + 31. Let p be (-33)/(-77) + 144/7. Let r be s(p). Which is greater: r or -31?
-31
Suppose 0 = -5*q + 1 + 9. Suppose 2*p + 4 = -q*p. Let g = 53/3 - 259/15. Is p greater than g?
False
Let m = -10 + 165. Let w = 126 - m. Let i = -2 + 2. Do i and w have different values?
True
Let v be -47 - 9 - (1 - 4). Let o = -4 + 3. Is v greater than o?
False
Let p be ((30/(-855))/(-2))/(22/6). Let j = -347/5 - -69. Are j and p unequal?
True
Let p = 1.972 + 0.028. Let y = 1 - p. Is -1/6 < y?
False
Suppose -k - 2*k + 67 = -5*y, -5*y - 105 = -5*k. Suppose 4*v + 39 = k. Let b be -7 - (1 - 1 - 1). Is b greater than or equal to v?
False
Suppose -4*n - 27 - 9 = 0. Let j be 14/4*(-5 - n). Let i be j/6 - (-3)/(-9). Which is smaller: 1 or i?
1
Let q(g) = -3*g**2 + 5*g + 75. Let y be q(7). Is y < -37?
False
Let t(n) = -3*n - 5 + n**2 + 10 - 6. Let s be t(3). Which is smaller: s or 3?
s
Let s(m) = -m + 20. Let x be s(0). Let j = 18 - x. Let z = j - -15. Is z bigger than 13?
False
Let y(l) = -l**3 - l**2 + l + 2. Suppose -8*r = -4*r + 48. Let q = 10 + r. Let u be y(q). Is u bigger than -0.1?
True
Let g = -0.14 + 0.02. Let b = 0.42 + g. Let f = b - 1. Is 0 smaller than f?
False
Let i = -1006 + 1003. Are 32 and i equal?
False
Let m = 0.052 - -0.018. Let d = -0.27 + m. Which is smaller: 16 or d?
d
Let v(w) = -w**2 + 13*w - 68. Let h be v(6). Suppose -4*i + i = -12. Suppose i*p = 3*p - 27. Which is smaller: h or p?
p
Let w be 1566/(-8) + (-2 - -6). Let u = -190 - w. Which is smaller: u or 3?
u
Let y = -18 - -24. Suppose -i + y*i + 110 = 0. Are -22 and i unequal?
False
Let q = -0.2 - -5. Let v = q + -6.8. Which is smaller: v or -18?
-18
Let n = -2 - -3. Suppose 0 = 3*o + n - 7. Let v be o/((-4 + 0)/4). Which is greater: v or -0.2?
-0.2
Suppose -58*g + 62*g = 3*p - 17, 4*p - 18 = 3*g. Which is bigger: 88 or g?
88
Let k = -0.1 - -0.3. Let r = 0.0555 - -1.0445. Do k and r have the same value?
False
Suppose -6 = -2*d - 0. Suppose d*p - 2*p = 4. Let o = p - 7. Which is bigger: -2 or o?
-2
Let x = 8 + -8. Suppose 0 = -2*y - h - 14, 7*y - 2*y + 2*h + 34 = x. Let c be 1*y*(-3)/(-6). Is c less than or equal to -4?
False
Suppose 9*k = -5*k - 1680. Let g be (28/(-210) - 526/k) + -3. Let w = 2 + -2.2. Which is bigger: w or g?
g
Let x(o) = 35*o + 22. Let m be x(-13). Let v = m + 4759/11. Suppose 0 = 2*n + n. Is v less than n?
True
Suppose -5*k + 2*m = m + 3, -4*k + 5*m - 15 = 0. Let v be 82/55 - 22/55. Is k bigger than v?
False
Let s = 1456 - 24761/17. Which is smaller: s or -1?
-1
Let y be 231/49 - 2/(-7). Suppose 8*f = 3*f. Suppose -2*i - 3*i + y = f. Is i at most -1/7?
False
Let s be -3 - (-12)/(-5) - 8/(-20). Let x be (-1 - 0) + (6 - 10). Is x != s?
False
Let x(y) = 8*y - 202. Let c be x(25). Which is smaller: c or -7?
-7
Suppose k + 22 = 2*k. Suppose t + 3*d - 2 = 0, 0*t + 5*t + 3*d = k. Suppose -t*s + s = 0. Is s < -1?
False
Let v be (-10)/45 - (-964)/(-36). Let n = 29 + v. Let f be n/5 - 28/(-5). Is 6 greater than or equal to f?
True
Let y = -1222 - -746. Does y = -476?
True
Let s be (-4 - -29) + -2 - 4. Let l = 8 - s. Let x = 149/4 - 37. Is x < l?
False
Let w(r) = -12*r + 47. Let j be w(24). Is j bigger than -242?
True
Let g be (6/(-45))/((-32)/10). Let u = -2936/9 + 326. Which is smaller: g or u?
u
Let v(l) = -32*l + 609. Let u be v(19). Is u < -781?
False
Suppose t + 5 = -0*t. Let z = t + 4. Let p = 208/1017 + 2/113. Is z smaller than p?
True
Suppose -49 = 4*j + 2*w + 53, 0 = 4*j + w + 99. Let n = j + 51. Is 28 greater than or equal to n?
True
Suppose -3*g + 0 + 42 = 0. Suppose -8*r = -r - g. Which is smaller: 4 or r?
r
Suppose -7*g = -6*g - 2. Let p = -1261/43 + 140188/4515. Let z = p + -2/35. Is z >= g?
False
Let p = 1142 + -1273. Is p less than or equal to -130?
True
Suppose -312 + 1182 = -29*h. Which is greater: h or -342/11?
h
Suppose f - 5 = u - 1, 4 = 5*f - u. Let z be 3058/(-5226) - 2/(-3). Let x = 10/67 + z. Is f != x?
True
Let n = 3/12071 - -14666259/24142. Which is smaller: 608 or n?
n
Suppose -2*x - 2*u - 1016 = 0, 5*u + 9 = -6. Which is smaller: -506 or x?
-506
Let f = -18 - -48. Let s = 41 - 12. Is s bigger than f?
False
Let g be 2*-5*(-12)/(-8). Let c = g + 13. Let u be (-8)/(-28) - (-1 - c). Which is greater: -1 or u?
u
Let z = -3 - -78. Let n be (z/(-10))/(-3)*4/775. Is n at most as big as 1?
True
Let j = 6/485 - 22807/970. Is -1 at most j?
False
Let n = -5.91 - 18.85. Let j = 25 + n. Let y = -6.24 + j. Is y > 3?
False
Let h be 46/11 + 20/(-110). Let w(k) = -k**3 + 5*k**2 - 8*k + 16. Let q be w(h). Which is bigger: q or 2?
2
Let l = 0.555 + -0.59. Let r = l + 0.035. Does r = -6?
False
Let m = 88 - 92. Let j be (4/(-24))/((-1)/4). Do j and m have different values?
True
Suppose -12*h - 4*h = -3*h. Which is smaller: -2/1553 or h?
-2/1553
Let w = -1052 + 1172. Are w and 2/5 nonequal?
True
Let o(x) = 5*x + 36. Let d(z) = 22*z + 144. Let a(g) = 2*d(g) - 9*o(g). Let j be a(14). Which is bigger: -1 or j?
-1
Let c be (9 - 10)/(1/(-16)). Suppose 3*o + c = -0*h - h, -18 = 3*h + 3*o. Let b be 25/(-280) + (-4)/14. Which is smaller: b or h?
h
Suppose -13*y + 41 = -12*y. Suppose -40 = y*l - 46*l. Which is smaller: l or 4?
4
Suppose -8*y = 69 + 51. Let o(p) = -p**2 - 17*p - 30. Let v be o(y). Which is smaller: v or -4/27?
-4/27
Let w(c) = -c**3 + 2. Suppose 0 = 3*x + 3*k + 15, -4*x + 5*k - 4*k - 5 = 0. Let j be w(x). Is j smaller than 9?
False
Let l = -85.1 + 85. Let a = -5 - -7. Is a at least as big as l?
True
Suppose d - 6206 = -28*d. Are d and 214 equal?
True
Let d be (-152)/(-1007)*12/(-8). Is d >= 1?
False
Suppose | {
"pile_set_name": "DM Mathematics"
} |
(n/n**(-5)))/(n**(2/7)*n/(n/n**(1/4)))*(n/n**(-1/3))**(-21)*n/(n*n**(-1/2))*n/(n/n**(-5)) assuming n is positive.
n**(-9557/252)
Simplify (((z*(z*z*z**2)/z*z*z)/z*z)/z**(-1/8))**(-11)/((z**1)**(-2/29)*((z/(z*z**5))/z)/(z**(-3)*z)) assuming z is positive.
z**(-14687/232)
Simplify (f*f**(1/14))**48/(f**(-2/17))**13 assuming f is positive.
f**(6302/119)
Simplify (((q*q*q*q**(1/5)/q*q)/(q/q**(-11))*q**6/(q/(q*q/(q/q**(-5/2)))))**(-31))**43 assuming q is positive.
q**(70649/10)
Simplify (r**(-2)*r**(1/11)/r)/((r/((r*r/(r/(r*r/(r*(r**(-2/3)*r)/r))*r))/r)*r)/r*r)**(-2/49)*(r**1*r)**24*(r**(-3/2)*r)/r**5 assuming r is positive.
r**(128213/3234)
Simplify ((r**(5/7)*(r/(r/((r*r/(r*r*r**(-12/5)*r*r))/r*r)))/r)**(-6))**(-47) assuming r is positive.
r**(1128/35)
Simplify (d**(-4)*(d/(d**(-3)/d))/d)**(-3/16)*(d**(-3/4)*d**(-1/5))**(-4/33) assuming d is positive.
d**(19/165)
Simplify ((k*k*k**(-1)*k*k*k**(5/2)/k)/((k*k*k**(-3/2)*k*k*k)/(k*k**(-6))))/(k*k*(k*k**(2/11))/k*k/((k/(k/k**9)*k)/k))**(-49) assuming k is positive.
k**(-3180/11)
Simplify ((p*p**(-2/7))/(p*(p*p/(p/p**(2/7)))/p))**31*(p**1)**(-18/11)/(p*p**(-1)*p)**(-8/7) assuming p is positive.
p**(-1402/77)
Simplify (((g**(-1))**(-1/17)/(g**(3/4)*(g*g/g**(1/2))/g))**(-3))**49 assuming g is positive.
g**(11907/68)
Simplify (c/c**(1/2)*c**(-2/15)*c*c**(8/3)*c**(-14))**(-25) assuming c is positive.
c**(1495/6)
Simplify ((w/w**9)/(w/w**(1/3)))**(-32)/((w/(w*w/((w**(2/7)/w)/w)))**44*w**(4/9)*w/(w/(w*w/(((w**1/w)/w)/w*w)))) assuming w is positive.
w**(24779/63)
Simplify (s**(-1/2))**11*(s**0/s)/s**5*(s**(-1/3))**(-3)*(s*(s**4*s)/s)/(s/(s**(-4)*s)*s) assuming s is positive.
s**(-21/2)
Simplify ((q/(q*q*q/(q/q**(-3/5)*q)*q*q))/(q**(-4)*q))**(-5/2)*(q/q**0*q/(q/q**1)*q)/(q*q**(-1/4))**(-1/87) assuming q is positive.
q**(-115/116)
Simplify ((y*y**0)/(y*y/(((y*y**(-4))/y*y)/y*y))*y**(-4)/(y*y**5/y))/((y**(-1/3)*y*y)/(y**0/y)*(y/y**(2/17))/(y**7/y)) assuming y is positive.
y**(-538/51)
Simplify p**(-1/12)*p*((((p*p/(p*p**(2/5)*p))/p)/p)/p)/p*p*p*(p**(-23))**(2/39) assuming p is positive.
p**(-2077/780)
Simplify ((a*a*a**(-2)*a)/a**2)**(25/2)*(a*a*a*a**(-1/4)*a*(a*a/a**(-1/4))/a*a)**(3/14) assuming a is positive.
a**(-157/14)
Simplify (s/(s**7*s))**(11/4)/((s*s*s**(-25/2))/((s/(((s/s**10)/s)/s))/s*s)) assuming s is positive.
s**(13/4)
Simplify ((((w**0/w)/w)/w)**(3/29)/(w**4*w**(-4/5)))/((w**(2/11)/((w*w**(-3)*w)/w))/((w/w**(-3))/w*w*w**(3/5))) assuming w is positive.
w**(-1742/1595)
Simplify (((z/z**(-1))/z)/z)**38/((z**5*z)/(z**(-4)*z))*(z**(-7)/(((z/(z/(z/(z*z*z*(z**1*z)/z)))*z)/z)/z))/(z**(-1/2)/z)**29 assuming z is positive.
z**(63/2)
Simplify ((v**(-4)*v*v**(-18/5))/(v/(v/(v*v*v*v/v**(-1/2)*v)))**(-3/16))**36 assuming v is positive.
v**(-8019/40)
Simplify ((t*t*t**(-15)*t)/t)/(((t*t**37*t*t)/t)/t)*(t**(-1/26))**(-47) assuming t is positive.
t**(-1279/26)
Simplify ((v*v/(v*v/v**(-3)))/(v/(v**(-3)/v)*v))**(-8/5)*v**6*v/(v/(((v*v**6*v)/v)/v))*(v/(v/(v/v**(-1/2)))*v*v)**37 assuming v is positive.
v**(1559/10)
Simplify b**2*b*b/(b*b/(b*b**(2/11))*b*b)*b**(-4)*b**(1/5)*(((b**3/b)/b)**47)**40 assuming b is positive.
b**(103256/55)
Simplify (((o*o/(o/o**0))/o)**(-3/2))**30/((o/(o/o**(-1)))**42)**22 assuming o is positive.
o**924
Simplify ((z**(2/7))**41)**(-42)*((z*(z*z/z**0)/z*z)**(1/10))**(18/5) assuming z is positive.
z**(-12273/25)
Simplify (i**1*i*i*i**(-1)*i*i*(i**(-2/3)*i*i*i)/i**3)/(i**(-4/5)*i*i/((i**(-2/11)/i)/i))**(-26) assuming i is positive.
i**(15058/165)
Simplify (((s**(-1/5))**(-40)*s**(-2/7)/s*s**(1/2))**(-23))**37 assuming s is positive.
s**(-85951/14)
Simplify (q*q**0)**(2/59)/(q*q**(-1/3))**29*(q**(-1/2)/(q**(-3/8)/q*q))**(-50) assuming q is positive.
q**(-9239/708)
Simplify ((l/((l**(-1/2)*l)/l*l)*l)**(6/7))**(-6/23)*(l**(-4)/l**(-1))**7 assuming l is positive.
l**(-3435/161)
Simplify (((u**(1/3))**(-27)*(u**5/u)/u**(5/3))**20)**17 assuming u is positive.
u**(-6800/3)
Simplify ((y**3/y)**(-19/5)/((y*y**(-1/41))/(y*y/(y**(-5)*y*y)*y)))**(-46) assuming y is positive.
y**(24288/205)
Simplify (d**9*d/(((d*d/(d*d*d*d**2))/d)/d*d*d))**(-10/11)/(d**(-1/7)*d**(4/7)*d)**31 assuming d is positive.
d**(-4320/77)
Simplify (b/b**6*b/(((b/b**3*b)/b)/b)*b**4/b*b*b**(-3))/((((b*b*b**(6/7))/b)/((b**(-5)*b)/b))/(b**(-1/5)*b*b**(-1/13))) assuming b is positive.
b**(-2791/455)
Simplify ((y*y*y**0*y*y)/(y/(y/((y**(-1/13)/y)/y))))**(2/31)*(y**(-5)*y/(y*y**(1/4)/y)*y)/(y**(-3)/((y**3/y)/y)) assuming y is positive.
y**(1841/1612)
Simplify ((i*i*(i*(i**(-3/5)*i)/i*i)/i)/(i/(i/(i*i**(1/2))*i))*i**(1/8)*i/i**(-7))/((i*i**(-2/11)*i*i)**(2/57))**(-2/117) assuming i is positive.
i**(29421919/2934360)
Simplify ((n/(n*n**(2/9)/n))**(-45)/(n/n**(-15)*n**(14/9)))**(2/43) assuming n is positive.
n**(-22/9)
Simplify ((r*r*r**(-4))/(r/r**(-2))*(r/r**1)**(-25))/((r/((r/r**1)/r))**(-36))**19 assuming r is positive.
r**1363
Simplify ((((o*o*o/(o/(o*o*o**(1/8)*o*o)*o)*o*o)/o)/(o/((o/(o*o*o**(-1/29)*o))/o)))/(o**0)**(-23))**(-1/2) assuming o is positive.
o**(-501/464)
Simplify (((g/((g**(-16)*g)/g))/g**(-3/8))/(g**(-8))**(-12))**13 assuming g is positive.
g**(-8177/8)
Simplify (w**(1/2)*w/((w*w**(3/7)/w)/w))/(((w**(-2)*w)/w*w*w)/((w**6*w*w)/w))*(w**(-2/7)*w*w**(-4))/(w/(w*w/((w/w**(-2/5))/w)))**(2/77) assuming w is positive.
w**(4467/770)
Simplify ((j/j**(-2/3))**(3/7))**(-7)*(j**(-1/4))**(-2/3)*j*j**7*j*j**(-5) assuming j is positive.
j**(-5/6)
Simplify (r**(-4/5)*r**(-4)/r*r*(r**(2/5)/r)/r*r*((r**(2/7)*r)/r)/r)/((r*r*(r/(r**1*r))/r)/r**(4/9))**20 assuming r is positive.
r**(874/315)
Simplify (k**0)**20/(k**4*(k*k*k**2)/k)*(k**(-1))**45/(((k**(-5)*k)/k)/(k/(k/(k**(-1)/k)*k*k))) assuming k is positive.
k**(-51)
Simplify (((s/(s*s**(-2/15)))/s*s)/s*s/(s*s**(-4/7))*(s*s**25*s)/(s/s**(-13)))**(-48) assuming s is positive.
s**(-21344/35)
Simplify (((m*m**(-1/18))/m)**(1/44)*(m/(m**(2/13)*m))**5)**4 assuming m is positive.
m**(-7933/2574)
Simplify (((n**5*n*n/(n*n**(-5/2)*n))/(n/n**(-1))**(-3/14))**9)**(-4/15) assuming n is positive.
n**(-666/35)
Simplify (w*(w*w**(-1))/w*w)**(15/8)/(w*w**(1/3))**(-1)*w**(1/2)*w**(2/7)*(w**(2/5))**(-10) assuming w is positive.
w**(-1/168)
Simplify (((((f/f**1)/f)/f)/f)**6)**(2/85)/(f/(f/f**(-2/7))*(f/(f**(-5/4)/f))/f*f)**28 assuming f is positive.
f**(-7091/85)
Simplify (r**0)**(-44)*r**0*r**(-1/5)*r*((r*r*r**(-2)/r)**(-33))**(-13) assuming r is positive.
r**(-2141/5)
Simplify (k**(-5)/(k/(k/k**(-1/3))))**(-2/23)*(k/(k**(-1)*k*k*k*k))**(-6/7)/(k*k/k**3*k**(3/7)) assuming k is positive.
k**(1300/483)
Simplify ((o*o**(1/47)*o*o*(o*o*o/(o**(-29)/o))/o)**(-34))**(3/2) assuming o is positive.
o**(-83946/47)
Simplify ((((w**(-1)/w)/w)/w)**(-2/3))**(-1)*(w**(2/17)*w*(w/(w*w*w*w**(-2/25)))/w)/((w*w**(-1))/(w*w**(-2/21)*w*w)) assuming w is positive.
w**(-13961/8925)
Simplify ((g**8*g**(-5)*g*g)/((g*g/((g*g*g**(-4))/g))/g**(-8)))**27 assuming g is positive.
g**(-216)
Simplify ((b**(-30))**14/((b/b**(-31))/b)**25)**(-21) assuming b is positive.
b**25095
Simplify ((d**(5/3))**(12/7)*d**(-2/25)/((d**(5/3)*d)/d))**(-1/20) assuming d is positive.
d**(-583/10500)
Simplify (q**(-2/19)*q/(q*q**19)*q**35/(q**11*q))**(2/121) assuming q is positive.
q**(148/2299)
Simplify ((((s*s/(s*s*s**(1/4)*s*s))/s)/s)/((s**(-6)/s)/s))/(((s/(s**(-2/3)/s))/s)/(s**(-4/3)/s*s*s*s))*(s**0)**(-28/5)/(s**(-1))**44 assuming s is positive.
s**(187/4)
Simplify y*y**(-44)*y*y**(-3/2)*(y**(-7/3)/y)**(3/49) assuming y is positive.
y**(-4283/98)
Simplify ((l/(l*l**0*l*l))**45*l**(6/11)/(l**(-2/11)*l))**(-1/33) assuming l is positive.
l**(331/121)
Simplify (((q**(-4)/q)/q*q)**(-36)/((q**5/q)/(q/(q/q**(-3/4)*q))))**(-9/11) assuming q is positive.
q**(-6273/44)
Simplify ((k/(k/k**0))**17)**(2/65)*(((((k*k**(4/3))/k)/k)/k)/k**(1/2))/(k*k*(k**(-2/3)/k)/k*k)**(-17/3) assuming k is positive.
k**(13/18)
Simplify (((v/v**(-2))/v)**(-10))**(1/9)/((v/(v*v**(-2)*v))**(-3/19))**(-44) assuming v is positive.
v**(-1568/171)
Simplify ((u*u**0)**(-15))**(-9/8)/((u**6*u**(1/2)/u)/(u**(2/5)*u**(3/5)/u)) assuming u is positive.
u**(91/8)
Simplify (o**(3/14)*o*o**10*(o**(5/3)*o)/o*o**22)**48 assuming o is positive.
o**(11720/7)
Simplify ((w/w**(1/3))**(-2))**10*(((w/(w*w**(1/3)))/w)/w*w)**(-47)/(w/(w*w/(w*(w/(w*w**2))/w)))**(2/53) assuming w is positive.
w**(7862/159)
Si | {
"pile_set_name": "DM Mathematics"
} |
nd 2203131510.
1830
What is the highest common divisor of 2960848 and 1232?
176
Calculate the highest common divisor of 662906492 and 709.
709
What is the highest common factor of 15294696 and 36?
12
What is the greatest common divisor of 2720 and 12699320?
40
What is the greatest common divisor of 2496 and 3970752?
192
Calculate the greatest common divisor of 406950999 and 91.
91
Calculate the greatest common factor of 206 and 57792064.
206
Calculate the highest common factor of 4342 and 17430959.
2171
Calculate the highest common factor of 119528 and 23192.
1784
What is the greatest common factor of 10 and 60933800?
10
What is the greatest common divisor of 41748760 and 760?
40
What is the highest common divisor of 3211 and 343239?
169
What is the highest common factor of 736946 and 602?
14
Calculate the greatest common divisor of 540 and 55971270.
270
Calculate the highest common divisor of 74654 and 804894.
326
What is the greatest common divisor of 29362 and 2188158?
106
What is the highest common divisor of 2 and 884899?
1
Calculate the greatest common factor of 84272 and 233312.
368
Calculate the greatest common factor of 182119491 and 43.
43
What is the highest common factor of 6419 and 257125883?
6419
What is the highest common factor of 57915 and 44204589?
3861
What is the greatest common divisor of 17313847 and 142?
71
What is the highest common factor of 23250813 and 164?
41
What is the highest common divisor of 923346 and 10017?
27
Calculate the highest common factor of 54 and 620684424.
54
What is the greatest common factor of 43061516 and 3156?
1052
Calculate the greatest common factor of 208179 and 5121.
9
What is the highest common divisor of 219099 and 597?
597
Calculate the greatest common divisor of 4586 and 39194249.
2293
Calculate the greatest common divisor of 14 and 19788536.
2
What is the highest common divisor of 72865282 and 1066?
82
What is the greatest common divisor of 109711935 and 135?
135
What is the highest common divisor of 5134 and 18012639?
2567
Calculate the greatest common divisor of 5914570 and 140.
10
Calculate the greatest common factor of 205 and 49470.
5
Calculate the greatest common factor of 17582 and 177649.
59
What is the greatest common factor of 3380906 and 4881?
1627
What is the highest common factor of 2206879 and 6731?
127
What is the highest common divisor of 1177 and 4060683?
11
Calculate the greatest common factor of 114 and 811584.
6
What is the greatest common divisor of 86125625 and 205?
205
What is the greatest common factor of 83710626 and 397?
397
Calculate the highest common factor of 99104 and 41306.
38
Calculate the greatest common factor of 125139 and 202020.
21
What is the greatest common divisor of 6733297 and 111?
37
Calculate the greatest common divisor of 30532 and 1904.
68
What is the highest common factor of 29713 and 31347?
43
Calculate the greatest common divisor of 12 and 29306.
2
What is the highest common divisor of 34 and 60315847?
17
Calculate the greatest common divisor of 82943810 and 20.
10
Calculate the greatest common divisor of 1264152900 and 24.
12
Calculate the greatest common factor of 4491125 and 100.
25
What is the highest common divisor of 247196 and 17284?
116
What is the highest common divisor of 27782 and 2204?
58
Calculate the highest common divisor of 9762504 and 19.
19
Calculate the greatest common divisor of 1501779 and 285.
57
Calculate the greatest common factor of 170794059 and 399.
57
Calculate the highest common divisor of 4930 and 988720.
170
Calculate the greatest common factor of 2210 and 37011890.
170
Calculate the greatest common divisor of 4254 and 36548950.
1418
Calculate the highest common factor of 4615 and 16557697.
923
Calculate the greatest common factor of 1313854 and 5329.
73
What is the highest common divisor of 6732418 and 35?
7
What is the greatest common factor of 44054 and 554?
2
Calculate the greatest common factor of 827415 and 1816.
227
What is the highest common divisor of 266 and 441714147?
133
What is the highest common divisor of 220 and 4052246?
22
Calculate the greatest common factor of 952 and 26418272.
136
Calculate the highest common factor of 1982 and 13763008.
1982
What is the greatest common factor of 108 and 279540963?
27
Calculate the greatest common factor of 1275991733 and 127.
127
Calculate the greatest common divisor of 3053 and 5160209.
71
Calculate the greatest common factor of 4488575 and 3575.
325
Calculate the greatest common divisor of 104856 and 116.
4
What is the highest common divisor of 1305094 and 1861866?
2554
What is the greatest common divisor of 2365542 and 27?
9
Calculate the greatest common divisor of 204 and 11228704.
68
What is the highest common factor of 376 and 21172184?
376
What is the greatest common divisor of 3507 and 3569771793?
3507
What is the highest common divisor of 364 and 26170261?
13
What is the greatest common factor of 10 and 606950945?
5
What is the highest common factor of 51645 and 87735?
15
Calculate the greatest common divisor of 64764 and 2393433.
63
What is the highest common divisor of 272254302 and 18?
18
Calculate the greatest common divisor of 108 and 1330191.
9
What is the highest common factor of 7185482 and 670?
134
What is the greatest common divisor of 9019326 and 372?
186
What is the highest common factor of 271 and 25649879?
271
Calculate the greatest common divisor of 425227 and 14036.
319
What is the highest common factor of 14784 and 1272864?
96
What is the greatest common factor of 15778 and 1418893?
1127
Calculate the highest common factor of 4632421 and 54841.
173
Calculate the greatest common divisor of 11265582 and 4890.
978
Calculate the greatest common divisor of 43357 and 2417777.
227
What is the highest common factor of 331800 and 429800?
1400
Calculate the greatest common factor of 5775 and 1913625.
525
What is the highest common divisor of 12640 and 1389215?
395
What is the highest common factor of 49201113 and 624?
39
Calculate the greatest common divisor of 13809192 and 3354.
258
Calculate the greatest common factor of 192 and 13453536.
96
Calculate the highest common divisor of 3088 and 214512.
16
What is the greatest common factor of 496083 and 1344?
21
Calculate the greatest common factor of 64 and 1769752.
8
Calculate the highest common factor of 9614 and 45716.
22
Calculate the highest common divisor of 7165 and 35491111.
1433
Calculate the highest common divisor of 338300 and 14688.
68
What is the highest common factor of 2528 and 9645640?
8
Calculate the greatest common divisor of 360924 and 16434706.
3166
What is the greatest common factor of 23474 and 1661?
11
Calculate the highest common factor of 1208490 and 35070.
30
Calculate the greatest common divisor of 147 and 12768567.
147
What is the greatest common factor of 1982 and 84096260?
1982
Calculate the greatest common divisor of 1660 and 534935.
415
What is the greatest common factor of 376523730 and 66?
66
Calculate the highest common factor of 68969 and 4904913.
4057
What is the highest common factor of 4874429 and 10731?
511
Calculate the highest common divisor of 85 and 83619940.
85
Calculate the highest common divisor of 328 and 15921448.
328
What is the highest common factor of 129 and 11533761?
129
What is the highest common factor of 1798 and 1818491?
31
Calculate the highest common factor of 14 and 289310770.
14
What is the highest common factor of 75 and 81323575?
25
What is the highest common factor of 4487760 and 4600?
920
Calculate the highest common divisor of 3360991 and 3265.
653
What is the greatest common divisor of 15984 and 1279719?
999
What is the greatest common divisor of 462731 and 336229?
3329
Calculate the highest common factor of 2720873 and 6008.
751
Calculate the greatest common divisor of 1401 and 6403037.
467
Calculate the highest common divisor of 166395957 and 840.
21
What is the highest common divisor of 121731 and 63?
3
What is the greatest common factor of 24 and 3637260?
12
What is the highest common factor of 799 and 1395139?
17
What is the highest common divisor of 2059600 and 20976?
304
Calculate the greatest common divisor of 211761817 and 233.
233
Calculate the greatest common divisor of 10057 and 2984526.
89
What is the gr | {
"pile_set_name": "DM Mathematics"
} |
qf. What is prob of sequence fy?
3/20
Three letters picked without replacement from {s: 2, j: 1, a: 1, h: 1}. Give prob of sequence hjh.
0
What is prob of sequence tjt when three letters picked without replacement from {t: 3, j: 3}?
3/20
Two letters picked without replacement from ubllzgklubzggbukbguk. Give prob of sequence bb.
3/95
What is prob of sequence dqb when three letters picked without replacement from qxmxmxbmqxmdgmbqqdmm?
2/855
What is prob of sequence llll when four letters picked without replacement from llllllllll?
1
Calculate prob of sequence ttd when three letters picked without replacement from vtvtvtvvtdvttvvvv.
1/136
Three letters picked without replacement from {r: 9, b: 6, o: 1, w: 3}. Give prob of sequence wwr.
3/323
Four letters picked without replacement from {w: 4, i: 2}. What is prob of sequence wiww?
2/15
Two letters picked without replacement from {e: 4, u: 2, d: 1, p: 1}. Give prob of sequence dp.
1/56
What is prob of sequence ru when two letters picked without replacement from {w: 4, n: 2, u: 8, r: 3}?
3/34
Three letters picked without replacement from {d: 2, m: 11}. Give prob of sequence mmm.
15/26
Calculate prob of sequence xbcz when four letters picked without replacement from {z: 2, x: 1, c: 4, u: 1, b: 1}.
1/378
What is prob of sequence lek when three letters picked without replacement from {l: 2, h: 1, k: 1, w: 1, r: 1, e: 1}?
1/105
Calculate prob of sequence qgg when three letters picked without replacement from {x: 7, q: 4, g: 4}.
8/455
What is prob of sequence btt when three letters picked without replacement from {t: 3, b: 6, c: 6}?
6/455
What is prob of sequence vvm when three letters picked without replacement from vmvmvvmvvvvvvvmm?
55/336
What is prob of sequence pls when three letters picked without replacement from zpzzpplzpslzl?
1/143
What is prob of sequence jrej when four letters picked without replacement from jrej?
1/12
Three letters picked without replacement from {x: 1, i: 2, t: 1, n: 2}. What is prob of sequence tit?
0
What is prob of sequence ff when two letters picked without replacement from {i: 2, f: 6}?
15/28
Three letters picked without replacement from {u: 1, w: 3, b: 2, y: 4, f: 1, g: 1}. What is prob of sequence uff?
0
Two letters picked without replacement from lyyyffykycplpyypfy. Give prob of sequence cy.
4/153
Three letters picked without replacement from {i: 9, r: 3}. What is prob of sequence rri?
9/220
Calculate prob of sequence mqi when three letters picked without replacement from mqzwi.
1/60
What is prob of sequence ryyc when four letters picked without replacement from {y: 4, o: 5, c: 1, i: 1, r: 1, q: 3}?
1/2730
What is prob of sequence gf when two letters picked without replacement from ttgfftggtttfgf?
8/91
Three letters picked without replacement from ztsttsstttttsttttzs. Give prob of sequence ttz.
44/969
What is prob of sequence tn when two letters picked without replacement from {x: 2, j: 2, k: 1, n: 1, t: 1, s: 1}?
1/56
Four letters picked without replacement from {a: 9}. What is prob of sequence aaaa?
1
Four letters picked without replacement from {s: 16, f: 2}. Give prob of sequence fsss.
14/153
Four letters picked without replacement from {c: 3, n: 4, k: 1, q: 1, x: 2}. What is prob of sequence qkxc?
1/1320
Three letters picked without replacement from {w: 9, q: 9}. What is prob of sequence wqq?
9/68
Four letters picked without replacement from ddtdmdumdutd. What is prob of sequence tutu?
1/2970
Three letters picked without replacement from {y: 5, u: 2, k: 3, p: 2, q: 3}. What is prob of sequence kuu?
1/455
Three letters picked without replacement from {l: 2, d: 4, n: 2, q: 1}. What is prob of sequence ndl?
2/63
Calculate prob of sequence lwc when three letters picked without replacement from {c: 2, a: 1, l: 3, q: 2, v: 4, w: 2}.
1/182
Three letters picked without replacement from {a: 3, u: 3, l: 1, g: 2, n: 2, p: 1}. What is prob of sequence ggp?
1/660
Two letters picked without replacement from {h: 1, z: 2, n: 4}. What is prob of sequence nh?
2/21
Two letters picked without replacement from {t: 1, n: 2, e: 1, f: 1, v: 1, i: 1}. What is prob of sequence ev?
1/42
Calculate prob of sequence gs when two letters picked without replacement from {s: 2, g: 4}.
4/15
What is prob of sequence oxxo when four letters picked without replacement from {o: 2, n: 5, x: 2}?
1/756
Three letters picked without replacement from lll. What is prob of sequence lll?
1
Calculate prob of sequence goio when four letters picked without replacement from eeigoeeidoeied.
1/4004
Calculate prob of sequence ow when two letters picked without replacement from wknowwa.
1/14
Three letters picked without replacement from {s: 1, f: 3, m: 7, g: 2, o: 7}. Give prob of sequence gmm.
7/570
Three letters picked without replacement from {i: 6, w: 4}. Give prob of sequence iiw.
1/6
What is prob of sequence roor when four letters picked without replacement from oorroorrrorr?
7/99
Three letters picked without replacement from eehheheeee. Give prob of sequence hhh.
1/120
Calculate prob of sequence cgf when three letters picked without replacement from csfcgcufc.
1/63
What is prob of sequence wvcv when four letters picked without replacement from wvvvvwvvvvcwwww?
2/195
Three letters picked without replacement from pppyccpccccyc. What is prob of sequence ccy?
7/143
Calculate prob of sequence xqq when three letters picked without replacement from jfxlqlqrxxfr.
1/220
Four letters picked without replacement from {m: 5, c: 2, k: 6}. What is prob of sequence kmkc?
5/286
Calculate prob of sequence jjjt when four letters picked without replacement from lffjjltfjlj.
1/330
What is prob of sequence iyy when three letters picked without replacement from {i: 7, y: 3}?
7/120
What is prob of sequence bbb when three letters picked without replacement from {i: 4, b: 3, g: 2}?
1/84
Two letters picked without replacement from gsaqgqqqfsguq. Give prob of sequence ug.
1/52
Calculate prob of sequence iiz when three letters picked without replacement from {z: 1, i: 14}.
1/15
Two letters picked without replacement from {x: 11, o: 4, t: 1, s: 3}. Give prob of sequence ot.
2/171
Calculate prob of sequence nd when two letters picked without replacement from {p: 1, d: 1, n: 2, z: 2}.
1/15
Four letters picked without replacement from {w: 1, p: 2, h: 1, l: 1, x: 2}. What is prob of sequence lhxx?
1/420
Three letters picked without replacement from {e: 1, x: 2, a: 3, q: 1}. Give prob of sequence aaq.
1/35
Two letters picked without replacement from {z: 2, y: 2, d: 1, u: 8, j: 4, b: 2}. What is prob of sequence zy?
2/171
Calculate prob of sequence pd when two letters picked without replacement from {p: 2, d: 2, g: 2}.
2/15
Two letters picked without replacement from pvlnpll. Give prob of sequence nv.
1/42
Three letters picked without replacement from {h: 4, f: 12, m: 3, e: 1}. What is prob of sequence hmm?
1/285
Four letters picked without replacement from pkkppkpkkppkkvkpkkk. What is prob of sequence pkkv?
385/46512
What is prob of sequence nnl when three letters picked without replacement from llnlnllllnlllnlltn?
5/102
Three letters picked without replacement from pgyxgggypbyxyy. Give prob of sequence pgb.
1/273
Calculate prob of sequence mmn when three letters picked without replacement from {m: 4, l: 1, n: 3}.
3/28
Calculate prob of sequence hxh when three letters picked without replacement from xichh.
1/30
What is prob of sequence yyny when four letters picked without replacement from {n: 4, y: 10}?
120/1001
What is prob of sequence kkk when three letters picked without replacement from iikkikkkkkk?
56/165
Four letters picked without replacement from uaappaap. Give prob of sequence uppa.
1/70
Four letters picked without replacement from {n: 5, l: 1, b: 1, o: 5}. What is prob of sequence nono?
10/297
Calculate prob of sequence gcmm when four letters picked without replacement from {c: 1, j: 5, m: 2, g: 6, r: 1}.
1/2730
What is prob of sequence wit when three letters picked without replacement from {z: 1, i: 3, m: 2, w: 3, x: 1, t: 3}?
9/572
What is prob of sequence uu when two letters picked without replacement from {m: 8, s: 2, o: 3, u: 2, r: 2, i: 2}?
1/171
What is prob of sequence frf when three letters picked without replacement fro | {
"pile_set_name": "DM Mathematics"
} |
en 82 is divided by g.
39
Let r = -164 + 264. Calculate the remainder when r is divided by 20.
0
Let u(j) = -332*j - 346. What is the remainder when u(-8) is divided by 9?
6
Suppose 0 = -8*m + 23 + 17. Suppose u + 496 = m*u. What is the remainder when u is divided by 18?
16
Let y(j) = 4*j - 1. Let w(u) be the first derivative of -6*u**2 - 7*u + 9. Calculate the remainder when w(-6) is divided by y(3).
10
Suppose 3 = 3*v - 141. Let x be 1/(142/v + -3). Let n = x - -37. Calculate the remainder when 47 is divided by n.
8
Let p = -116 + 215. Suppose i = -0*i + p. Calculate the remainder when i is divided by 20.
19
Let j = -12 + 15. Suppose 0 = -5*i + 25, 0*i - j*i = -4*h - 155. Calculate the remainder when -1 + -2 - -6 - h is divided by 10.
8
Let c = -189 - -200. What is the remainder when 35 is divided by c?
2
Let c(j) = 6*j - 10. Let d be (-12)/(-20) + 51/15. Let q be c(d). What is the remainder when 441/q + (-1)/2 is divided by 11?
9
Suppose -2*x + 219 = 117. Suppose -5*a = 0, 2*a - 1015 = -5*r - 0*a. Calculate the remainder when r is divided by x.
50
Suppose 0 = -r - 4*r - a + 476, -r + a = -94. Calculate the remainder when r is divided by 5*2*12/10.
11
Let i(m) = 2*m**2 + 14*m - 8. Suppose 5*p + 39 = -16. Let d be i(p). Let g = d - 18. Calculate the remainder when g is divided by 21.
20
Suppose -9*d - 13 = -121. Calculate the remainder when 56 is divided by d.
8
Let j = 46 - -6. Calculate the remainder when j is divided by 23.
6
Suppose -2*l = 3*k - 7*l - 348, 432 = 4*k + 4*l. Calculate the remainder when 2328 is divided by k.
108
Suppose -i + 3*i - 546 = 5*g, -2*i = 4*g + 426. What is the remainder when (-2)/(434/g - -4) is divided by 37?
34
Suppose -4*g + 70 + 126 = 3*i, 4*i + 68 = g. Suppose 4*k = 144 - g. Let d = -161 + 169. What is the remainder when k is divided by d?
7
Let o(p) = -p**2 + 16*p + 17. Let r be o(17). Suppose -2*a + f + 99 = r, -3*f - 49 = -a - 2. Calculate the remainder when a is divided by 18.
14
Suppose -2*u - 73 = -5*i - 9, i = -u - 39. Let j = -35 - u. Suppose 0 = -c - 0*c + 2. Calculate the remainder when j is divided by c.
0
Let x = -144 - -580. What is the remainder when (-4)/(-10) - x/(-10) is divided by 12?
8
Suppose -u = -61 + 47. Let k = u - -31. What is the remainder when k is divided by 8?
5
Suppose -4*n = m - 9 + 64, 2*n - 3*m = -31. Let x be 422/n - 3/(-21). Let h = 64 + x. What is the remainder when h is divided by 12?
10
Calculate the remainder when 93 is divided by (-132)/2310 - 1054/(-70).
3
Let b = 50 - 29. Suppose -n + 5*y = n - 3, 5*n - 3*y = -40. Let x(c) = -c**3 - 11*c**2 - 3*c + 7. Calculate the remainder when x(n) is divided by b.
19
Let b(s) be the third derivative of -s**6/120 - 3*s**5/20 - 11*s**4/24 - s**3/3 - 14*s**2. Calculate the remainder when 62 is divided by b(-8).
18
Let j(z) be the second derivative of z**4/3 + 2*z**3/3 + z**2/2 - z. Calculate the remainder when j(4) is divided by 2/1*7 - -7.
18
Let j(c) = 2*c**2 + 5*c - 4. Let y be j(-4). Let m(s) = s**3 - 7*s**2 - 2*s - 14. What is the remainder when m(y) is divided by (1 + 1)/(1/6)?
10
Let s be (-18)/(-24) - (-34)/8. Suppose -i = -3*k - 3, 17 + 38 = 5*i - s*k. Suppose -47 - 37 = -2*c. What is the remainder when c is divided by i?
12
Suppose -21*w + 20 = -652. Suppose -3*k + 11 - 1 = b, -2*b = -4*k + 20. Let t = k + w. What is the remainder when t is divided by 13?
10
Suppose -4*m = 5*k - 281, -k - m = 2*m - 54. Suppose 0 = -4*q - t - 14 + k, -3*t + 39 = 3*q. What is the remainder when 26 is divided by q?
6
Let p(n) = n**2 - 52*n - 207. Let x = -62 - -93. What is the remainder when x is divided by p(-4)?
14
Let t = 17 + -1. Let p(w) = w**2 + 8*w - 619. Calculate the remainder when p(23) is divided by t.
14
Calculate the remainder when (-68 - -70)*(-669)/(-6) is divided by 28.
27
Let l = -121 - -127. Calculate the remainder when 956/l - (-9)/(-27) is divided by 27.
24
Suppose 415*j + 740 = 425*j. What is the remainder when 74 is divided by j?
0
Let y be (-1)/(1*-2 + 1). Suppose y + 7 = 2*m. What is the remainder when m is divided by (-1 - (-5 - 2)) + -4?
0
Let h(v) = -v**2 + 8*v - 11. Let q be h(5). Suppose -6*t = -q*t - 28. Calculate the remainder when 81 is divided by t.
11
Let o = -24 + 2. Let c = o + 39. Suppose 147 = 4*j - c. What is the remainder when j is divided by 11?
8
Let d(k) be the second derivative of 4*k**3/3 - 23*k**2/2 + 19*k. Calculate the remainder when 202 is divided by d(5).
15
Suppose j = 3*n + 67 - 5, -2*j + 134 = -n. Calculate the remainder when j is divided by 35.
33
Let u(m) = -m**2 - 9*m + 16. Let a be u(-9). Suppose 0 = 3*w - 4*q - 20 - 9, w = -5*q + a. What is the remainder when w is divided by 5?
1
Let u(v) = -v**3 - 17*v**2 + 15*v + 114. Suppose -i = -6*i + 170. What is the remainder when u(-18) is divided by i?
32
Suppose 2*i + m + 23 = 0, 3*i - 7*m = -3*m - 7. Let t be (3/i)/((-1)/3). Suppose -2*p = -p - t. What is the remainder when 3 is divided by p?
0
Calculate the remainder when 12/186 - (-28184)/403 is divided by 19.
13
Suppose -4*v - 4*q - q - 16 = 0, 0 = -4*v + 4*q - 16. Calculate the remainder when (-10)/((-120)/(-1458))*v/3 is divided by 41.
39
Suppose 1827 = t + 1821. Let c be ((-3)/(-2))/((-3)/(-90)). Let j = c - 30. Calculate the remainder when j is divided by t.
3
Let w(t) = -t**2 - 2*t - 2. Let y(p) = 2*p**2 + 3*p + 4. Let j(u) = -5*w(u) - 2*y(u). Calculate the remainder when j(-5) is divided by ((-12)/(-27))/(1/9).
3
Suppose -3*i + 3*s = -27, -30 = -5*i + 3*i - s. What is the remainder when 101 is divided by i?
10
Let r(h) = 124*h**2 + 15*h - 16. What is the remainder when r(1) is divided by 21?
18
Suppose -2*t + 91 = 5*c, 6*c = -3*t + 10*c + 125. Calculate the remainder when 167 is divided by t.
38
Calculate the remainder when -6 + (1332 - (-7 - 0)) is divided by 89.
87
Let s(m) = -m**3 + 17*m**2 + 30*m - 202. What is the remainder when 2854 is divided by s(18)?
12
Suppose -3*x + 2*x + 385 = -3*c, 3*c - 3 = 0. What is the remainder when x is divided by 13?
11
Suppose 7*m - 252 = 378. Suppose 5*p = 5*a + 21 - 136, 0 = 5*p - 5. What is the remainder when m is divided by a?
18
Suppose -5*s + 0*s = 2*u - 31, 2*u = -s + 11. Let j(r) = r**3 + 10*r**2 + 9*r + 12. What is the remainder when j(-9) is divided by s?
2
Let w = 115 + -97. Let j = -122 + 171. Calculate the remainder when j is divided by w.
13
Let v = 11 - 2. Let z(q) = -12*q - 151. Let m(p) = -13*p**2 + 2*p + 1. Let f be m(-1). What is the remainder when z(f) is divided by v?
8
Let b(n) = 1287*n**2 + 4*n - 2. What is the remainder when b(1) is divided by 19?
16
Suppose 5*j + 4*y - 91 = 75, -2*j + 2*y = -52. Suppose -5*h + 36 = -h. Calculate the remainder when j is divided by h.
3
Suppose 0*j = -3*j + 12. Suppose 0 = v - 19 + j. What is the remainder when v is divided by (54/15)/((-2)/(-5))?
6
Suppose -3*u + 1015 = -5*f, -3*u - 5*f = -f - 970. Suppose u = 4*c + 2*t + 3*t, -2*c = -5*t - 180. Calculate the remainder when c is divided by 22.
19
Suppose -w = -5*m + 6, 0 = 3*m - 2*m. Let f = w + 12. Suppose 0*h = -5*h + 75. Calculate the remainder when h is divided by f.
3
Let s be (18/(-24))/((-18)/(-8) + -2). Let d(b) = -b**2 - 8*b - 7. Calculate the remainder when 21 is divided by d(s).
5
Let u = 146 + -128. Calculate the remainder when u is divided by 12.
6
Let f be 0 + 4 - (-320)/8. Suppose 7*l = 3*l + f. Calculate the remainder when 229 is divided by l.
9
Let s(k) = 2*k**2 + 6*k + 2. Let r = -37 - -73. Suppose 2*g - r = 6. Calculate the remainder when s(5) is divided by g.
19
Suppose 0 = -2*s - u + 23 - 2, -s - 2*u = -9. Calculate the remainder when 56 is divided by s.
1
Suppose -61*g - 2247 = -68*g. Suppose 4*i + 76 = v, -v - i + g = 3*v. What is the remainder when v is divided by (-2)/(-3) - 122/(-6)?
17
Let b = -1 + 8. Suppose -b*a + 5*a = 28. What is the remainder when 73 is divided by (a/(-4) - 2)*10?
13
Let g = 415 + -281. Suppose 0*p = -p. Suppose -5*w + 2*q + 328 = p, -4*w + 2*q - g = -6*w. What is the remainder when w is divided by 17?
15
Let a = -188 + 218. What is the remainder when 83 is divided by a?
23
Let f = 278 + -170. What is the remainder when 537 is divided by f?
105
Let k = 309 - 139. Calculate the remainder when k is divided by 88.
82
Let n(f) = -f**2 - 3*f + 1. Let b be n(5). Let u = 26 - b. Suppose 0 = - | {
"pile_set_name": "DM Mathematics"
} |
1. Let k(i) = d(i) - 5*r(i). Let v(n) = 4 + 20*n - 3 - 18*n. Determine -4*k(s) - 9*v(s).
-2*s + 3
Let o(i) = -i**3 - i**2 - i. Suppose m + 3 = 1. Let z(r) = -r**2 - r. Determine m*z(l) + 2*o(l).
-2*l**3
Let i(w) = 9*w - 3. Let z(k) = 3*k - 1. Suppose -40 = 6*b - 11*b. Give b*z(f) - 3*i(f).
-3*f + 1
Let f = -8 + -1. Let b = 15 + f. Let m be ((-10)/4)/(3/b). Let z(g) = 4*g + 1. Let c(t) = -2*t. Calculate m*c(a) - 2*z(a).
2*a - 2
Let k(y) = 66*y**2 - 27*y. Suppose 0 = -2*o + u - 57, -u = 2*o - 5*u + 66. Let l(d) be the third derivative of -d**5/12 + d**4/12 + d**2. Give o*l(q) - 2*k(q).
3*q**2
Suppose 4 = 2*o - 2*x, -7*x + 5*x = -4*o + 16. Let t(f) = 5*f**2 - 4*f + 6. Suppose -14 = u - 3*u. Let v(b) = -6*b**2 + 5*b - 7. Give o*v(j) + u*t(j).
-j**2 + 2*j
Let x(s) = -20*s. Let p(d) = -d**2 - 5*d + 4. Let z be p(4). Let c(g) = 3*g. Determine z*c(v) - 5*x(v).
4*v
Let t(z) = -3. Let v(o) = 16. Let b(y) = -y - 6. Let i be b(5). Let x(n) = i*t(n) - 2*v(n). Let q(u) = -u - 1. What is -2*q(s) - 2*x(s)?
2*s
Let x(l) = -4*l**3 - 1. Suppose -r = -4*s + 13, 20 = 3*s - 2*r + 4. Let k(u) = -17*u**3 - 3. Give s*k(h) - 9*x(h).
2*h**3 + 3
Let p(q) = q - 1. Let b(y) = 5*y - 5. Let c(w) = 2*b(w) - 9*p(w). Let j(r) be the third derivative of -r**4/4 + 7*r**3/6 + 2*r**2. Give -5*c(z) - j(z).
z - 2
Suppose -p - 6 = p. Let j(a) = 3*a**2 - 8*a. Suppose 0 = -0*h + 2*h + 3*g - 25, -4*h + 3*g = -23. Let t(v) = v**2 - 3*v. Determine h*t(w) + p*j(w).
-w**2
Suppose 11*j + 9*j = -240. Let f(n) = n**3 + 3*n**2 - 3. Let m(l) = l**2 - 1. Determine j*m(c) + 4*f(c).
4*c**3
Let x(v) = -v**2 - 3*v. Let u(z) = 1 + z - 3*z + 12*z + 4*z**2. Let r be (-60)/9 - (-2)/(-6). Determine r*x(q) - 2*u(q).
-q**2 + q - 2
Let u(i) = -2*i**2 + 11*i + 2. Let q(b) = b**2 - 6*b - 1. Let z(d) = -11*q(d) - 6*u(d). Let y(f) = 8*f**2 - 2*f - 9. Give y(n) - 6*z(n).
2*n**2 - 2*n - 3
Let q(s) = -7*s**2 + 4*s - 7. Let b(z) = -16*z**2 + 15*z - 16. Let i(m) = -11*m**2 + 10*m - 11. Let x(t) = 5*b(t) - 8*i(t). What is -6*q(g) - 5*x(g)?
2*g**2 + g + 2
Suppose -2*j - 3*j = k - 27, 0 = 5*k + 2*j - 20. Let z(q) = q**2 + 3*q + 2. Let i(t) = -6*t**2 - 16*t - 10. Give k*i(r) + 11*z(r).
-r**2 + r + 2
Let v(p) = 2*p**3 - p**2 - 2*p - 2. Let i(u) = -2*u**3 + 2*u + 3. Calculate 2*i(m) + 3*v(m).
2*m**3 - 3*m**2 - 2*m
Let b(r) = -r**2 + 2*r + 2. Suppose i - 6 + 1 = 0. Let l(n) = -2*n**2 + 5*n + 5. Suppose 0 = -0*h + h + 2. Give h*l(p) + i*b(p).
-p**2
Let n(s) = -2. Let i(a) = a - 17. Suppose 2*m + 8 = 0, g + m - 68 = -3*g. What is g*n(u) - 2*i(u)?
-2*u - 2
Let g(l) = 7*l**3 + 11*l**2 + 3*l. Let z(d) = -2*d**3 - 4*d**2 - d. What is 4*g(b) + 11*z(b)?
6*b**3 + b
Let t(g) = -3*g**2 + g - 1. Let f(x) = 3*x**2. Let w(z) = 5*f(z) + 6*t(z). Let b(i) = 9*i**2 - 17*i + 17. Calculate -6*b(k) - 17*w(k).
-3*k**2
Let b(h) = h**2 + 1. Let x(g) = -4*g**2 + g - 3. Determine 9*b(d) + 2*x(d).
d**2 + 2*d + 3
Let d(u) = -2*u**2 + 7*u + 7. Let x(v) be the second derivative of -v**4/12 + 2*v**3/3 + 2*v**2 + 21*v. Give -6*d(h) + 10*x(h).
2*h**2 - 2*h - 2
Let i(o) = 11*o**2 + 8*o + 9. Let y(m) = -4*m**2 - 3*m + 1. Let w(v) = -1. Let j(k) = 4*w(k) + y(k). Determine -3*i(r) - 8*j(r).
-r**2 - 3
Let w(g) = -g**3 + 6 - 2 - 3. Let n(a) = a**3 - a**2 - 2. Give 2*n(o) + 3*w(o).
-o**3 - 2*o**2 - 1
Let p(u) be the first derivative of -7*u**4/4 - 8*u**3/3 - 3*u**2 - 16. Let y(m) = m**3 + m**2 + m. Give -p(k) - 6*y(k).
k**3 + 2*k**2
Let f(r) = -14*r**2 - 8*r**3 + 0*r**3 - 10*r + 4*r**3. Let a(g) = -g**3 - 3*g**2 - 2*g. Calculate -14*a(x) + 3*f(x).
2*x**3 - 2*x
Let i be 13/(-4) + 2/8. Let x(g) = 24*g**2 + 14*g + 14. Let z(n) = -5*n**2 - 3*n - 3. Calculate i*x(q) - 14*z(q).
-2*q**2
Let n(a) = -9*a**3 + 6*a. Suppose -5*y = f - 35, 3*y + 3*f + 5 = 38. Let z(g) = -g**3 + g. Give y*z(b) - n(b).
3*b**3
Let l(d) = 9*d**3 - 2*d. Let k(y) = -10*y**3 + 2*y. Determine -3*k(s) - 4*l(s).
-6*s**3 + 2*s
Let d(i) = -i**2 + i + 1. Let n(x) = -4*x**2 + 6*x + 8. Let y(p) = -6*p**2 + 9*p + 12. Let j(v) = -8*n(v) + 5*y(v). What is 4*d(s) + j(s)?
-2*s**2 + s
Let d(z) = -17*z**3 - 2*z**2 + 7*z + 7. Let c(j) = 8*j**3 + j**2 - 4*j - 4. Calculate 7*c(i) + 4*d(i).
-12*i**3 - i**2
Let w = -1 + 1. Let n(l) = l + w*l + 2*l. Let h(z) = 16*z. Let p(i) = -i + 6. Let g be p(8). Calculate g*h(j) + 11*n(j).
j
Let w(g) = 7*g**2 - 4*g - 1. Let f = 27 - 20. Suppose -2*b + 30 = 3*b. Let d(l) = -8*l**2 + 5*l + 1. Give b*d(o) + f*w(o).
o**2 + 2*o - 1
Let g(m) = -2 - 2 + 4*m + 2. Let o = 0 + -4. Let r be (10/o)/(4/(-8)). Let a(v) = -9*v + 5. Give r*g(x) + 2*a(x).
2*x
Let t(p) = -17*p**2 - 13*p - 13. Let l(b) = 8*b**2 + 6*b + 3. Let g(f) = 16*f**2 + 12*f + 7. Let s(u) = 3*g(u) - 5*l(u). What is -13*s(j) - 6*t(j)?
-2*j**2
Let o = -7 - -12. Let l = 0 + o. Let q(u) = 6*u**3 + 4*u**2 + 5*u + 2. Let s(v) = -7*v**3 - 5*v**2 - 6*v - 3. Calculate l*q(z) + 4*s(z).
2*z**3 + z - 2
Let t(q) = -61*q + 6. Let b(y) = 122*y - 13. Determine -6*b(a) - 13*t(a).
61*a
Let k(a) = -a - 1. Let m(z) = 1. What is -3*k(u) - 2*m(u)?
3*u + 1
Let l(y) = -7 - 5 + 0*y - 4*y + 2. Let h(j) = j + 3. Calculate -10*h(z) - 3*l(z).
2*z
Suppose 2*f - 2 = 6. Let i(o) = 5*o**2 - 8*o**2 + 10*o**2. Suppose 54 = 5*l + 9. Let s(j) = -3*j**2. Give f*i(h) + l*s(h).
h**2
Let z(u) be the second derivative of -4*u**3/3 + 9*u**2/2 - 5*u. Let d(l) = 7*l - 8. Calculate 7*d(v) + 6*z(v).
v - 2
Let w = 8 - 14. Let q be 8/5 - 4/(-10). Let u(p) = p - q*p - 2*p - 3 + 4*p**3. Let r(f) = 3*f**3 - 2*f - 2. Determine w*r(v) + 4*u(v).
-2*v**3
Let c(k) = -k + 1. Let j be (-12)/28 - (-31)/7. Suppose j*x = 5*m - 2, -1 = -m - x + 3. Let z(q) = q**2 + 2*q. Determine m*z(d) + 2*c(d).
2*d**2 + 2*d + 2
Let y(f) = -3*f - 2. Let l = 1 - 3. Let q(u) = 21*u + 15. Calculate l*q(r) - 15*y(r).
3*r
Let a(k) = 1. Let g = 47/114 + -3/38. Let q(c) be the second derivative of c - g*c**3 - c**2 + 0. Give 2*a(i) + q(i).
-2*i
Suppose -9 = -5*q + 6. Let i(d) be the first derivative of 1 - 5*d - 7/3*d**q + 0*d**2. Let l(p) = -4*p**2 - 3. What is 3*i(f) - 5*l(f)?
-f**2
Suppose -4*q + 31 = -3*w, -q = -w - 3 - 4. Let d(m) = -m. Let x(y) = 16*y + 4. Let c(a) = q*d(a) + x(a). Let r(p) = -2*p - 1. What is 3*c(i) + 10*r(i)?
-2*i + 2
Let o(s) = -3*s**2 - s - 2. Let v(b) = 7*b**2 + 3*b + 5. Let n(c) = -c**2 + 9*c - 12. Let k be n(7). Give k*v(f) + 5*o(f).
-f**2 + f
Let a(o) be the second derivative of -o**4/6 + 2*o**3/3 - 5*o. Let j(m) = -4*m**2 + 9*m - 1. Give -5*a(b) + 2*j(b).
2*b**2 - 2*b - 2
Suppose 2*l = -2*v + 6, v - 12 = -0*v - 4*l. Let u be 3 - v/(-1) - 2. Let c(k) = -7*k**3 + 5*k + 8. Let f(p) = -p**3 + p + 1. What is u*c(i) - 5*f(i)?
-2*i**3 + 3
Let h(q) = -2*q**2 + q - 2. Let y(u) = u + 1. Give h(g) - 4*y(g).
-2*g**2 - 3*g - 6
Let z(w) = 12*w + 16*w + 11*w - 37*w + 6. Let m(g) = -1. Let a be 21/15 - 4/10. Determine a*z(v) + 4*m(v).
2*v + 2
Let j(z) = 5*z**3 - 6*z - 2. Let d(x) = -4*x**3 + 7*x + 3. Give -2*d(m) - 3*j(m).
-7*m**3 + 4*m
Let f(z) = 13*z**3 - 2*z. Let n(p) = -923*p**3 + 143*p. What is -143*f(q) - 2*n(q)?
-13*q**3
Let i be 4*12/(2 - -1). Let k(u) = -u + 12*u - i + 35. Let z(d) = 5*d + 9. What is 6*k(a) - 13*z(a)?
a - 3
Let b(d) = -d + 1. Let r(w) = 15*w - 20. Let k be -1*(-4)/(-6) - 4350/225. Determine k*b(o) - r(o).
5*o
Suppose -2*c - 6 = -0. Let f(q) = q - 2. Let u(n) = 4*n - 17. Let k(z) = 4*z - 16. Let g(h) = 7*k(h) - 6*u(h). What is c*g(s) + 14*f(s)?
2*s + 2
Let t(g) = 4*g - 10. Let h(v) = -v - 1. Let b(j) = h(j) + t(j). Let n(c) = -c + 4. What is 4*b(s) + 11*n(s)?
s
Let p(d) = -11*d - 8. Let a be (-6 - -7) + 1 + 1. Suppose 2*y - a = 1. Let b(k) = -7 - 6*k + y - k. What is -8*b(w) + 5*p(w)?
w
Let k(n) = 2*n**3 - 3*n**2 - 19*n + 6. Let v(s) = -s**3 + 2*s**2 + 18*s - 5. Calculate 3*k(a) + 4*v(a).
2*a**3 - a**2 + 15*a - 2
Let c(n) = n**3 + 3*n - 13. Let y(p) = -3*p**3 - 8*p + 39. Calculate 8*c(r) + 3*y(r).
-r**3 + 13
Let q(r) = r**2 + r - 1. Let s(y) be the second derivative of y**4/3 + 2*y**3/3 - 2*y**2 - 2*y. Let j be 1 + (2 + -2)/3. Give j*s(w) - 6*q(w).
-2*w**2 - 2*w + 2
Let z(h) = h**3 + h**2 - 6*h + 7. Let t(g) = -g + 1. Let o(r) = -6*t(r) + z(r). Let s(f) = 5*f**3 + 6*f**2 + 6. What is 6*o(k) - s(k)?
k**3
Let c(o) = 3*o**2 + 36*o + 7. Let p(f) = -f**2 - 12*f - 2. Determine 2*c(t) + 7*p(t).
-t**2 - 12*t
Let a(x) = -7*x**2 + 7*x - 3. Let t(z) = 7*z**2 - 6*z + 2. What is 3 | {
"pile_set_name": "DM Mathematics"
} |
w. What is u rounded to three dps?
0.002
Let i = 670838229.43 + -9342779.43. Let d = i - 661495476.00000029. Let t = -26 - d. Round t to seven dps.
0.0000003
Suppose 0 = -8*n + 2*n + 18. Suppose 2*i + n*u - 1095 = 0, -2*u - 1824 = -5*i + 866. Round i to the nearest one hundred.
500
Let w = 2051.00001966 - 2051. What is w rounded to six dps?
0.00002
Let c(t) = 231*t**2 + 5*t - 4. Suppose 2*n - m = 9, -m - 4 = 3*n - 4*n. Let h be c(n). Let j be (-3)/((-6)/8) + h. Round j to the nearest one thousand.
6000
Let m(z) = 647211*z. Let s be m(1). Let l = 427211 - s. What is l rounded to the nearest 100000?
-200000
Let g = 98117 - 98102.0001. Let i = -181 + 166. Let q = i + g. Round q to five decimal places.
-0.0001
Let d(i) = 3*i**2 + 3*i + 2. Let v be d(-1). Suppose -5*m = -v*n + 10400006, -n + 4*n = 9. Round m to the nearest 100000.
-2100000
Let h(g) = 1009999*g**3 + g. Let p be ((-2)/(-6))/((-1)/(-15)). Suppose -p*s = -25 + 5, 2*s = 2*t + 10. Let k be h(t). What is k rounded to the nearest 100000?
-1000000
Let l = -0.27 + -25.73. Let q = l - 11. Let x = 34.6 + q. What is x rounded to the nearest integer?
-2
Let u = 1046 - 214. Let t be u/39*18750/(-4). What is t rounded to the nearest one hundred thousand?
-100000
Let y = -8019.3066 - -8020. What is y rounded to one decimal place?
0.7
Let h be 1*-2413 + -16 + 9. Round h to the nearest one hundred.
-2400
Suppose -28 = -s - 5*z, 2*s + 8 = 3*s + z. Let o(k) = 39350*k + 253982*k - 1 - s. Let t be o(-3). Round t to the nearest 100000.
-900000
Let s = 5710.6922 + -5710. Round s to 1 dp.
0.7
Let g = 61.39 + -61. Let l = 0.3967 - g. Round l to three decimal places.
0.007
Let h = 13.995 - 13.99507539. Round h to five decimal places.
-0.00008
Let m = -225.11 - -193003.11. Let w = -192779.699888 + m. Let h = 1.7 + w. Round h to 5 decimal places.
0.00011
Let p = -39.54 - -56.67. Let m = p - 17. Let x = m - -1.5. What is x rounded to 1 decimal place?
1.6
Suppose 101 = -6*k + 1355. Let m = -206 - k. What is m rounded to the nearest one hundred?
-400
Suppose -20*k + 181477 = 9477. Round k to the nearest ten thousand.
10000
Let y = -738456781.3000187 + 738456745. Let f = 36.3 + y. What is f rounded to six decimal places?
-0.000019
Let k = 1.11 - -0.09. Let p = -12.2 + k. Let j = -11.04 - p. Round j to 1 decimal place.
0
Suppose -2*z + m - 5*m = 12, 14 = 5*z - m. Suppose 5*x = -z*f - 283, 4*x + 407 = -3*f - 0*x. Round f to the nearest ten.
-130
Let x = 205.105217 + -22202910.705217. Let v = 22202708.39999973 + x. Let g = 2.8 - v. What is g rounded to 7 decimal places?
0.0000003
Let k = 174 - 173.99558. What is k rounded to three dps?
0.004
Let b = -221 - -235. What is b rounded to the nearest ten?
10
Let g = -791 - -790.9543. Round g to three decimal places.
-0.046
Let g(q) = -236*q**3 - 22*q**2 - 7*q + 35. Let m be g(31). Round m to the nearest 1000000.
-7000000
Let i = -465 - -464.997999. Round i to 4 dps.
-0.002
Let z = 56 - 23. Let m = -79332.9977 - -79366. Let d = m - z. Round d to 3 dps.
0.002
Let o(z) = 2*z**3 - 12*z**2 + 8*z - 6. Let s be o(13). Round s to the nearest 100.
2500
Let d = -1871.092 + 1871. Round d to 3 dps.
-0.092
Let t = -62 - -61.73. Let m = -0.2205 - t. Round m to two decimal places.
0.05
Let y = -11.59838 + 11.6. What is y rounded to four decimal places?
0.0016
Let p = 0.0311 + 30.8189. Let a = -0.15 - p. Let x = -31.174 - a. What is x rounded to 2 decimal places?
-0.17
Suppose 0 = -12*o - 34*o + 21666000. What is o rounded to the nearest ten thousand?
470000
Let g = 25 - -34. Let w = g + -40. Let x = -18.9984 + w. What is x rounded to 3 dps?
0.002
Let n = 1.6878357 + -1.6886. What is n rounded to 4 dps?
-0.0008
Suppose 0 = 2*w + 6, -2*s - 4*w + 5388 = -0*w. Let i be (0 - s*-25)*(-32)/6. Round i to the nearest one hundred thousand.
-400000
Let s(q) = 413599*q**2 + 2*q + 35. Let a be s(-5). What is a rounded to the nearest one million?
10000000
Suppose 5*g = -5*l + 10, -5*l + 3*g + 12 = -2*l. Suppose l*n - 9 = 6. Suppose -3*q = -i - 172, -n*i + 121 + 199 = 5*q. Round q to the nearest 10.
60
Let g = 0.17709281 - 0.1771. Round g to 6 decimal places.
-0.000007
Let k be 185800004/2 - (4 + -2). Round k to the nearest one million.
93000000
Let h = -32.8 - -32.80092. Round h to four decimal places.
0.0009
Let d = -37.69 - -37.69001743. Round d to 7 dps.
0.0000174
Let h(x) = -32090*x - 460. Let r be h(6). What is r rounded to the nearest 10000?
-190000
Let u = 18.17 + -291.67. What is u rounded to the nearest ten?
-270
Let d = -0.9 + 1.6. Let c = d + -1.55. Let w = 0.85086 + c. What is w rounded to four dps?
0.0009
Let h be 0 + 15/(-1)*-1. Let l(b) = 5*b - 7*b**2 + b**3 + 490 - 6*b**2 - 495. Let c be l(h). Round c to the nearest one hundred.
500
Let c(y) = 76346*y**2 + 12*y + 12. Let b be c(-4). What is b rounded to the nearest 100000?
1200000
Suppose 7*f - 86801 = p + 8*f, 4*p + 347203 = -3*f. What is p rounded to the nearest one thousand?
-87000
Let j = 676.34 - 686. Let v = j - -10. Let t = v + -0.4. What is t rounded to 1 dp?
-0.1
Let x = 3867 + -3866.6318. What is x rounded to 1 decimal place?
0.4
Let n = 131 - 287. Let m = n + 156.1. Round m to the nearest ten.
0
Let p = -0.17 + -2.15. Let w = 0.18 - p. What is w rounded to the nearest 10?
0
Let y(a) = a**3 - 5*a**2 + 5*a - 4. Let f be y(4). Let k(m) = 87*m - 49000 - 86*m - m**2 + 2*m**3 - m**3. Let n be k(f). Round n to the nearest ten thousand.
-50000
Let y(i) = -i**2 - i + 1. Let j(o) = 865*o**2 + 5. Let r(s) = -j(s) - 5*y(s). Let z be r(-6). Round z to the nearest one thousand.
-31000
Let y = 413 - -987. What is y rounded to the nearest 1000?
1000
Let c = -235 + 246.3. Let q = 8.74 - c. Let h = 0.24 - q. Round h to 0 dps.
3
Let z(u) = -1693809*u - 977. Let j be z(47). Round j to the nearest one million.
-80000000
Let w = 1829.003566 - 1829. Round w to 3 decimal places.
0.004
Let t = -48 + 46.67. Round t to zero decimal places.
-1
Let i = -0.5542 - -0.0372. Let f = i - -287.817. Let q = -302 + f. What is q rounded to the nearest integer?
-15
Let k = 0.243 + -98.243. Let l = k + 98.0000004. What is l rounded to seven decimal places?
0.0000004
Let d = 62870 - 143028. Suppose 0 = 4*x - 3*p - 516623, -p - 136555 = -3*x + 250916. Let z = d + x. Round z to the nearest ten thousand.
50000
Let n be 8/3 + 4/12. Suppose -n*b = 4*v - 865856, -b + 577234 = b + v. Suppose m = 91384 + b. Round m to the nearest 100000.
400000
Let f = 21 - 38.3. Let z = -0.3 - f. Let u = z - 17.0009. Round u to 3 dps.
-0.001
Let t = -0.0562 - 12.9138. What is t rounded to 1 decimal place?
-13
Let o = 19.8 + -16.775. Let f = 38 + -35. Let g = f - o. What is g rounded to 2 decimal places?
-0.03
Let d = -33 + 33.34. Let q = d + -0.3400016. What is q rounded to six dps?
-0.000002
Let b(p) = -25610*p - 3. Let i be b(2). Let h = i + 7223. Round h to the nearest ten thousand.
-40000
Suppose -4*z + 3*n - 82948 = 0, -12*z - n = -7*z + 103704. What is z rounded to the nearest 1000?
-21000
Suppose -2*r + 1 + 6 = -g, 3*r + 9 = -5*g. Let h be 19*-200*(g - -1). What is h rounded to the nearest 1000?
8000
Let k = -3.3062 - -3.28. What is k rounded to three decimal places?
-0.026
Let j(o) = 2112501*o - 26. Let x(r) = 4225004*r - 53. Let f(y) = -5*j(y) + 2*x(y). Let l be f(-8). What is l rounded to the nearest one million?
17000000
Suppose -6*f - g = -3*f + 6239999, -4*f - 8320002 = -2*g. Round f to the nearest one hundred thousand.
-2100000
Let f = 0.192 - -10.648. What is f rounded to the nearest integer?
11
Let s = 3.78 + 0.18. Let p = 0.04 + s. Let w = -4.00007 + p. Round w to 4 decimal places.
-0.0001
Let l = -571.000001888 + 571. What is l rounded to seven decimal places?
-0.0000019
Suppose q - 24 = -4*l, 2*q + q = -2*l + 2. Let r(y) be the second derivative of -105*y**3 + 5*y**2 + y. Let m be r(l). Round m to the nearest 1000.
-4000
Let n = 62.3999976 - 62.4. Round n to seven decimal places.
-0.0000024
Let o = -5816006.86800006 + 5816007. Let g = o + -0.132. Round g to 6 dps.
0
Let p = -242919.99932 - -242907. Let r = -13 - p. Round r to four decimal places.
-0.0007
Suppose 6*x - 2*d - 365502 = x, 2*x - 2*d = 146202. Round x to the nearest ten thousand.
70000
Suppose -3*q + x - 2*x = 142202, -236996 = 5*q - 2*x. Round q to the nearest one thousand.
-47000
Let s = -821.8 - -607 | {
"pile_set_name": "DM Mathematics"
} |
Solve 5*j = h + 9, h - d*h - 4 = 4*j for j.
1
Let f = 41 + -24. Let m = -12 + f. Solve -3*k - 5 = 3*s + 4, -4*s + m*k = -15 for s.
0
Suppose -2*k = 2*k - 44. Let f be 4/(-22) + 35/k. Solve f*u = 3*d + 12, 4*d + 29 = -4*u - d for u.
-1
Let c be (4/(-8))/(-2 + (-45)/(-24)). Solve -c*v + 0*r - 4*r = 4, 2*v - r + 8 = 0 for v.
-3
Suppose 4*c - 26 = -2*d, 0*c = d + c - 8. Solve d*k = 5*h - 0*k, -3*h = -4*k - 11 for h.
-3
Let n(m) = m**2 + 8*m + 3. Let w be n(-8). Let l be 2/(8/w + -2). Solve l*k - 6 = -3*d, 4*d - 3 - 7 = -3*k for d.
4
Let n(z) = -2*z - 2 - 1 + 0. Let x be n(-3). Solve -x*q + 20 = -4*t - 4, 8 = 5*q + 4*t for q.
4
Let f(y) be the third derivative of -1/12*y**4 + 2*y**2 + 0 + 0*y - 3/2*y**3. Let u be f(-6). Solve k + v = 1 + 8, -32 = -u*k - 4*v for k.
4
Suppose 3*c = 4*v + 79, -3*c + 59 = -v + 2*v. Let f = 30 - c. Solve -4*w = -w + r + 4, 2*w = -3*r + f for w.
-3
Let u = -10 - -24. Let n = u + -10. Solve 5*h + 3*r = 5, -1 = -h - r - n*r for h.
1
Let a(m) = m**3 - 9*m**2 - 12*m + 10. Let j be a(10). Let d be (-2)/(-10) + (-58)/j. Solve 0*q = 4*q + 12, 3*x + q + d = 0 for x.
-1
Suppose 2*h - 4 - 10 = 0. Let n = 31 - h. Solve g - 6*g - 24 = -y, -4*g = -2*y + n for g.
-4
Let q be -4 - -1 - (-1 + -2). Suppose q = -3*g - 1 + 7. Solve -2*i = -2*b - 12, i + 0*b + 3 = -g*b for i.
3
Let a = -26 + 29. Let s be (-2 - -2)*a/(-6). Solve s*y - 6 = -2*y - u, 5*u + 10 = 0 for y.
4
Suppose y - 7 = -5. Solve 5*a + 21 = j, 5*j = y*j + 3 for a.
-4
Suppose 0 = 6*y - y. Let u = 2 - y. Solve -c + 15 = u*c - 3*m, 3*c = 5*m + 19 for c.
3
Let b = 16 + -11. Let o be 0/((-6)/(-3) - 0). Suppose -c + 3 + 1 = o. Solve c*w - 14 = -2*n, b*w = 3*n + 42 - 8 for n.
-3
Suppose -4*i = -2*i - 10. Suppose y = -a + 1, -y + 2*y - i*a - 13 = 0. Solve -u + o - 7 = 2*o, y*o + 12 = 0 for u.
-3
Let r(t) = t + 3. Suppose -n - 3 = -0. Let q be r(n). Solve 6*m - 4*j = 2*m, -5*m - 5*j - 30 = q for m.
-3
Let f be (-4)/6*3*-1. Solve o - f*h = -11, -4*o + h - 20 = -h for o.
-3
Suppose 2*i - 5 = -5*r + 6*r, 10 = -2*r - i. Let y be (r/2 - -2)*0. Solve u + y*s = -3*s + 10, -s + 8 = -2*u for u.
-2
Suppose -7*v - 4*v + 22 = 0. Solve v*m - 4 = y, -m - 2*m = 5*y - 19 for y.
2
Suppose 4*l = -2*n + 2, 0 = -2*l + 2 - 4. Solve n*w = 7*w - z - 5, 3 = z for w.
2
Let l = -38 - -29. Let t be (-4)/(-14) - (-103)/7. Let y = l + t. Solve 4*a = 3*n - 14, 3*a - 5*n - 1 = -y for a.
-5
Suppose -b = -15 + 1. Suppose 9*n + b = 4*u + 4*n, -n = 4*u - 2. Let w be u/(-4) + (-42)/(-8). Solve 4*x - 1 = -w*d, -d = 3*x + x + 3 for x.
-1
Suppose 9*w - 4*w = 0. Solve -1 = u + 2*s - w, -5*u - s = -22 for u.
5
Suppose 0*o + 4*o = 0. Let u be 2/(-8) + 10/8. Suppose -q + 17 = 2*n, 2*n - 4*q = 3 - u. Solve -5*p = -4*w - 9, 3*p - 2*w = -o*w + n for p.
5
Let s(n) = n**3 + 7*n**2 + 7*n + 6. Let z be s(-6). Solve -5*d - 2*h = 11 + 4, z = -3*d - 3*h - 9 for d.
-3
Let d be (3/6*0)/1. Suppose d = -4*h + 8, h = 2*g - h. Suppose -4*x - 4 = v, v - 6 = 5*x + 8. Solve -v*s = 5*w - 40, 0*s - g*s + 18 = 2*w for s.
5
Suppose -5*r + b + 16 = -b, -2*b = -r + 8. Suppose 0 = -0*f + r*f. Solve -3*p + 0*x - x - 7 = f, 4*x - 16 = -p for p.
-4
Let w = 2 + -10. Let p be (1/(-3))/(w/24). Solve 3 = -v + p, 2*v = -2*r - 10 for r.
-3
Suppose -3*h + 5*l + 0*l = -64, -h = l - 24. Solve -4*j + h = d, -29 = -0*d - 3*d - 4*j for d.
3
Let f = -80 - -90. Solve 2*k = -0*k + f, 2*q - 5*k = -35 for q.
-5
Let l = -24 + 34. Suppose 2*m + l = 58. Solve -4*q + m = -2*a, 3*a + a = 2*q - 24 for a.
-4
Suppose -5*w + 70 = -2*t, -3*w - 7*t + 68 = -3*t. Suppose -f + 3*f = w. Solve -5*k - 5*g + f = -2, 4*k + 5*g = 13 for k.
-3
Suppose 19*i + 2 = 2. Let q be 11 - 2*(-2)/(-2). Suppose 0*n = 3*n - q. Solve 4*m - 4*s - 9 = -m, i = -n*m - 4*s + 31 for m.
5
Suppose 3*x - x = 74. Suppose -3*r = -4*q - x, 4*q = 2*r - q - 34. Solve 5*c - 2 = -v + r, 3*v = 4*c + 8 for v.
4
Suppose h - 3 = -s - s, -4*h + 5 = s. Let n be ((-6)/8)/(s/4). Let f be 19/2 - n/6. Solve -2*q = -5*m + q + 25, 2*q = -f for m.
2
Let s = 21 + -16. Solve -u - 7 = r - 2*r, s*r - 10 = 0 for u.
-5
Suppose 3*t - 11 = l - 3*l, -5*t = 3*l - 19. Let z be l/8 + 18/8. Solve -a + 15 = -5*k, 7 = -a - 2*a + z*k for a.
-5
Suppose 2*c - 12 = -4. Suppose -c*o - 4*i = -2*i - 4, 3*o = -5*i + 10. Solve o = -l - 3*l + 4*t + 24, -3*l + 5*t = -26 for l.
2
Suppose 27 = l + 24. Solve 3*n + 5*u = -11, -6*n - 2*u = -l*n - 1 for n.
3
Suppose -7*s - 19 = 3*l - 2*s, 5*s + 29 = 2*l. Suppose 4*p + 3*q = 21, 0 = -2*p + q - l + 5. Solve 0 = -3*k - p*g, 3 = -k - k + g for k.
-1
Let w(x) = 3*x - 14. Let t(v) = v**2 + 2*v + 3. Let o be t(-3). Let a be w(o). Solve -3*m = a*k + 7, -m - 2*k + 0 = 1 for m.
-5
Let u(a) = 5*a + 1. Let z be u(2). Solve -1 + 0 = -2*l - 3*g, 5*l + z = -3*g for l.
-4
Let l(r) = -2*r**3 + 12*r**2 + r - 2. Let m be l(6). Suppose 3*a - 8 = 10. Let v = a + -1. Solve -1 = m*o - w - 2, -w = v for o.
-1
Let z be (-2)/6 + 20/6. Suppose z*q = q + 6. Suppose -q*l + l - 3*r = -6, -2 = -r. Solve 12 = 2*o + 3*k, l = 2*o + 2*o + 2*k - 8 for o.
0
Suppose -32 = -4*i + 2*j, -4*j = 2*i - 5*i + 34. Solve -4 = -c - 2*t, 0 = -0*c + c + 3*t - i for c.
0
Let i be 5 - -2*((0 - 3) + 2). Solve 11 = t + i*a, -3*t - 37 = -4*a - a for t.
-4
Suppose 0*l = -3*l + 27. Let p = 6 - l. Let t be ((-42)/9)/(2/p). Solve -4*s + 18 = -t*s + 4*i, -5*s - 2*i - 4 = 0 for s.
-2
Let w be (-3)/(-5) - (-21)/15. Solve 3*k + 11 = -4*m, 0 = -w*k + m + 2*m + 21 for k.
3
Let w(t) = -11*t**2 - 1. Let g be w(-1). Let v be (-4)/g + (-10)/(-6). Suppose -5*c + 0*a = -5*a - 55, v*c + 5*a = -13. Solve 4 = 4*s, 0*o - c = o - 2*s for o.
-4
Let v(u) = 5 - 2*u + 0 - 4*u**3 - 4 + u**2. Let y be v(1). Let l be (y/6)/(2/(-12)). Solve 2*n + l*b = 9 + 5, -1 = -n + b for n.
3
Suppose -56 + 164 = 12*u. Solve u = -3*k + 5*a, 2*k - 3*k - 3 = 2*a for k.
-3
Let k(m) = m**2 + 2*m - 5. Let d be k(-5). Let g(c) = 6*c + 89. Let a be g(-14). Solve 18 = 3*t - 3*l - 6, -5*l - d = a*t for t.
3
Suppose -2*v = 2*c - 8, -4*v = -3*c - 2 - 0. Let k(x) = 2*x + 12. Let o be k(-5). Solve 4*z - 3*i = c, i - 7 = 5*z + o*i for z.
-1
Let i(j) = -j**2 - 5*j + 2. Let z be i(-4). Suppose -24 = -5*y + 26. Let s be (7 - 3)*y/8. Solve 0 = 2*p - s*p - 5*h - 9, 2*p = 3*h - z for p.
-3
Let k(f) = -f**2 + 8*f - 10. Let o be k(7). Let r(t) = -3*t + 4. Let c be r(o). Let j = c - 9. Solve -3*b = 4*q - j*b + 7, 3*b - 6 = -3*q for q.
-1
Let t(l) = l**2 - 9*l + 13. Let b be t(8). Solve x + 0*x + 10 = -b*p, -4*x = p + 21 for x.
-5
Let l(i) = i**2. Let n be l(-2). Solve 2 = w - 4*p, 0 = 2*w - 0*p - 5*p - n for w.
2
Let i = 1 + 55. Suppose 3*a + 3 = 4*a. Solve -5*l = a*w + 21 - i, 13 = 2*l + w for l.
4
Let r = 11 - 3. Suppose -9 = r*w - 41. Let h(y) = 2*y**2 + y + 1. Let o be h(-1). Solve o*s - 6*s = 4*i + w, 0 = s + 2*i - 2 for s.
-4
Suppose -o - 4*k = -4*o + 19, 2*k + 27 = 5*o. Suppose -47 = -2*j + 13. Let g = -19 + j. Solve -o*x + 2 = p - 5, x = -5*p + g for p.
2
Suppose -5*s + 5*j + 30 = 0, 0 = 5*s - 4*j - 36 + 6. Solve 0 = 5*a - 2*a + 2*u + 6, 3*a - 4*u + s = 0 for a.
-2
Let i(h) = 4*h - 14. Let j be i(4). Solve -2*a = -2*v - v - 8, 4*v + 10 = j*a for a.
1
Let m(x) = -x**3 + 5*x**2 - 3*x + 1. Let y = -1 - -5. Let h be m(y). Suppose -j = h*i + 15, 9 = -3*i - 0*i. Solve 2*q + j*d + 10 = -3*d, d + 8 = -3*q for q.
-2
Let w(c) = -2*c**3 + 2*c**2 + 3*c + 1. Let h be w(-1). Solve -7 + 3 = -m + 2*v, -8 = h*m + 4*v for m.
0
Let s(c) = -c**3 - 5*c**2 + 4. Let u be s(-5). Suppose j + 10 = u*v, -v - v = -4*j + 2. Let d = -13 - -17. Solve 3*b = -5*g - 6, d + j = g - 3*b for g.
0
Let z be 20/(10/1) - (0 - 0). Solve -3*f - 4 = -2*f + v, 0 = z*f + 4*v + 12 for f.
-2
Let w be (-1)/(-4) + 44/16. Let i be (4/1 - w)/1. Let b = -10 + 18. Solve -3*g + 5*u = b, -u = i - 5 for g.
4
Let l be 2/(-7) + (-92)/(-28) + -1. Solve 2*f + 2 = i, -5*f - 3*i + l*i = 19 for f.
-3
Let c = -11 + 14. Let r(z) = z**3 - 3*z**2 + 2*z - 2. Let u be r(c). Solve 7 = -5*f + 2*q, -f - 3*q = -2*f - u for f.
-1
Suppose 10 = 5*a + 4*h + h, -3*a + 4*h - 29 = 0. Let y be (-45)/12 - a/(-12). Let w be y/10 + 85/25. Solve -2*z = 5*p, -6*z + w*z + 2*p = 19 for z.
-5
Let u(d) = 3*d - 6. Let l be u(5). Suppose 0 = -4*g + s - 5, -10 = 4*g + s - 3*s. Let m be (1 - -2 - g)*1. Solve 0*b - m*b - 3*w = -l, 4*b = -5*w + 10 for b.
5
Let f = -40 + 112. Let y be ((-2)/(-6))/(4/f). Solve -4*n - | {
"pile_set_name": "DM Mathematics"
} |
280. What is the units digit of n(8)?
2
Suppose 9 = -4*g + 17. Suppose 3*s - 1620 = -g*o - 448, 0 = o + 5*s - 593. What is the hundreds digit of o?
5
Suppose -9*g = 4*z - 5*g, -z = 4*g. Let l(y) = -y + 209. What is the units digit of l(z)?
9
Let h(p) = -240*p + 56*p - 27 + 58*p + 61*p + 60*p. What is the tens digit of h(-14)?
4
Let l be (-4)/((-24)/(-105))*8/(-5). What is the tens digit of (-6)/(-2) - (l/(-4) + -261)?
7
Let l = -3554 + 3583. What is the units digit of l?
9
Let v = -48 + 48. Suppose v = -4*u + q - 3*q + 26, -3*q - 6 = -3*u. What is the hundreds digit of -2 + u/10 - 710/(-4)?
1
Suppose -4 = 2*c - 2, 4*t - 2185 = c. Suppose r + p - 530 = 0, -3*r + 3*p + t = -1074. What is the hundreds digit of r?
5
Let q be (-260)/10*14/(-4). Let t = q + -88. Suppose -3*y - 125 = -a, y - 8 = t*y. What is the hundreds digit of a?
1
Let x be ((-12)/(-16) - 6/8) + -235. Let f = -136 - x. What is the units digit of f?
9
Let y(q) = 181*q**3 - 50*q**2 + 79*q + 14. What is the thousands digit of y(6)?
7
Let h = 50998 - 27139. What is the units digit of h?
9
Let j(r) = -r**3 - 7*r**2 - 2*r - 14. Let x be j(-7). Suppose y - d - 126 = x, -162 = 4*y + 3*d - 638. What is the hundreds digit of y?
1
Let u = 6220 - -11564. What is the units digit of u?
4
Suppose -2*h + 10 = 0, -2*t = -4*h - 153 - 241. Let r = t - 68. What is the hundreds digit of r?
1
Let m = -741 - -1525. Suppose -260 - m = -6*r. Suppose 5*x - 221 = r. What is the tens digit of x?
7
Let l(b) = -b**3 + 5*b**2 - 5*b + 4. Let n be l(3). Suppose -3*v - 7 = -x, 2*x + 2*v = x + n. Suppose x*p - 196 = -0*p. What is the tens digit of p?
2
Let o(c) be the second derivative of -5*c**4/12 + 5*c**3/6 - 11*c**2/2 - 20*c. Let t be o(3). Let g = -11 - t. What is the tens digit of g?
3
Let b = 27688 + -17078. What is the thousands digit of b?
0
Suppose -33*w - 44*w + 741484 - 40553 = 0. What is the hundreds digit of w?
1
Let n be 5/(-10) - (-11)/2. Suppose k + j + 567 = 3*k, n*k = j + 1419. What is the hundreds digit of k?
2
Suppose -30 = -14*t - t. What is the units digit of (t*(-3)/(-30))/((-1)/(-565))?
3
Suppose 2*y + 3*g = g - 44, -5*y - 104 = 2*g. Let s be (-4 - y)*-2*(0 - 5). Let k = 241 - s. What is the tens digit of k?
8
Suppose 5*w + 195 = 2*w. Let c be ((180 - 3)*(2 + -3))/(-1). Let y = c + w. What is the tens digit of y?
1
Suppose 0 = -14*g + 39*g. Suppose -5*y = -11*z + 6*z + 2420, -y + 1 = g. What is the units digit of z?
5
Suppose 0 = -73*v + 324250 - 37360. What is the units digit of v?
0
What is the thousands digit of (-85128)/(-16) - (-1)/(12/(-6))?
5
Let q(f) = 3*f**2 - 4*f + 8. Let s be ((-10)/3)/(-5 + (-16)/(-3)). What is the tens digit of q(s)?
4
Let r = 24 + -19. Suppose -u = r*m, 3*u - m = -102 + 22. What is the units digit of (80/u)/(6/(-15))?
8
Let r be (21/(-5))/((-3 - 4)/18515). Suppose 1691*z = 1684*z + r. What is the thousands digit of z?
1
Suppose 4470 = t - 5*a, -3*t + 13390 = -13*a + 8*a. What is the tens digit of t?
6
Let c(i) = i**3 - 4*i**2 - 4*i - 2. Let k be c(4). Let j = k - -22. Suppose 2*o = 2*n + 48, 5*o + 44 = 7*o - j*n. What is the tens digit of o?
2
Let u(v) = 128*v**2 + 62*v - 208. What is the ten thousands digit of u(-22)?
6
Let w be (-402)/4*6/(-9). Let o = 87 + w. Suppose -o = -2*b + 4*z, 0*b + b - 80 = -z. What is the units digit of b?
9
Suppose -3*q = 49 - 151. What is the tens digit of 2536/6 - q/51?
2
Let s = -23 - -11. Let c be -9*((-20)/s - 2). Suppose -2*t = -c*w + t + 300, -3*w + 300 = -2*t. What is the tens digit of w?
0
Suppose -731*i + 704*i + 807381 = 0. What is the units digit of i?
3
Suppose -9*g + 4*g - 29315 = -5*o, 0 = 5*o - 2*g - 29312. What is the thousands digit of o?
5
Let v = 63 + -60. Suppose 0*m + 20 = v*u - 5*m, -u - 3*m = -2. Suppose 4*r = -3*p + 805, 786 = u*r + 5*p - 214. What is the tens digit of r?
0
Let c(t) = -7*t - 1. Let m be c(-18). Let q = 375 - m. What is the tens digit of q?
5
Let b be (-2 - 1) + 7 + -26. Let a(v) = 2*v**3 + 45*v**2 - 13*v - 42. What is the units digit of a(b)?
8
What is the tens digit of (-1293680)/(-170) - (-56)/476?
1
Let q be ((-22)/(-8) - 2)/(6/40). Suppose -4*u = 3*o - 781, q*o = 4*u + 1417 - 94. What is the hundreds digit of o?
2
Let w(p) = -7*p**2 - 54*p + 49. Let j(v) = -3*v**2 - 26*v + 23. Let c(y) = -5*j(y) + 2*w(y). What is the hundreds digit of c(17)?
6
Let u be 14289/18 - 1/(-6). Suppose u + 916 = 6*n. What is the hundreds digit of n?
2
Let n(s) = -2*s - 4. Suppose 0 = -8*p + 3*p - 20. Let x be n(p). What is the units digit of (8 - x) + (56 - -2)?
2
Let o = -13 + 34. What is the hundreds digit of (-2 + -9 - 3)*(-954)/o?
6
Suppose -2*u + x + 210 - 14 = 0, 3*x + 12 = 0. Let t be ((-256)/u)/(4/(-6)). Suppose 726 = t*s + 2*m, 4*s - 4*m = s + 539. What is the units digit of s?
1
Let p = 40133 + 1535. What is the units digit of p?
8
Let h(v) be the second derivative of -v**3/6 + 25*v**2/2 - 31*v. Let t be h(-7). Suppose 2*a - 244 = t. What is the tens digit of a?
3
Let t = 512 + 386. Let c = 4 - 4. Suppose -4*q = 2*w - t, -5*q + c*w - 2*w = -1122. What is the hundreds digit of q?
2
Suppose 90455 + 29454 = 19*n. What is the thousands digit of n?
6
Suppose 2*a - 4*i = 19348, -1014*i + 9678 = a - 1015*i. What is the units digit of a?
2
Suppose -2*p + 9479 = -3*m, 0 = -359*p + 354*p + 2*m + 23692. What is the units digit of p?
8
Let u be (-6)/14 - 44/28. Let a be ((-3)/9)/(u/(-18)). What is the units digit of 63 + a/(-3)*2?
5
Suppose 55379 + 23299 = 54*s. What is the tens digit of s?
5
What is the thousands digit of 5/10*(-1 - -6 - -49121)?
4
Let j(r) = 250*r - 5. Let c be j(1). Let u = -101 + c. What is the units digit of u?
4
Let h = -4570 - -9693. What is the thousands digit of h?
5
Let r be (-3 + 1)*(-42)/18*-3. Let q(c) = -7*c - 43. Let i be q(r). Suppose -i = -2*f - b + 143, 3*f - 5*b - 271 = 0. What is the tens digit of f?
9
Let l = -2519 - -9196. What is the hundreds digit of l?
6
What is the hundreds digit of (-382 + 325)*(3092/(-6) - -1)?
3
Let k = 9988 + 2070. Suppose -9*y = -k + 1249. What is the hundreds digit of y?
2
Suppose 4*j = 6*v - 2*v + 3112, -2*j + 1554 = -3*v. Suppose 24*k - j = 21*k. Suppose k = -14*g + 2066. What is the units digit of g?
9
Let h(l) = 2875*l**2 - 15*l + 10. What is the units digit of h(2)?
0
Let s(a) be the second derivative of -a**5/20 - 7*a**4/6 + 23*a**3/6 + 5*a**2/2 - 13*a. What is the hundreds digit of s(-16)?
1
Suppose 0 = 2*l + 8*a - 11*a - 13942, -5*l + a = -34829. What is the thousands digit of l?
6
Let g(z) = -2*z**2 - 10*z - 17. Let d be g(-4). What is the tens digit of (366/15 + 0)/(d/(-315))?
5
Let l = -60653 + 100032. What is the thousands digit of l?
9
Let w(y) = -108*y + 1. Let i be w(-3). Let f be -219 + (-16 - (-32)/8) + 23. Let o = i + f. What is the units digit of o?
7
Suppose -5*o + 7*z = 5*z - 30, 0 = -2*z - 10. Let c(p) = -p**3 + 3*p - 12 + 32 + o*p**2 - 13. What is the units digit of c(-3)?
1
Let p = 245 - 384. Let y = p - -410. What is the tens digit of y?
7
Let u be (1 - 14/10)/(4/10). What is the units digit of (22/(-2))/(-1*u/(-11))?
1
Let n(g) = 5*g**2 + 21*g - 48. Let z be n(-24). Let a = z - 985. What is the hundreds digit of a?
3
Let v(y) = 33*y**2 + 25*y + 472. What is the units digit of v(-13)?
4
Let t(m) = 6972*m**2 - 17*m - 11. What is the units digit of t(-1)?
8
Let r(h) = 3116*h - 1940. What is the units digit of r(6)?
6
Let w(q) be the first derivative of -q**4/4 + 17*q**3/3 + 35*q**2/2 - 27*q + 194. What is the tens digit of w(16)?
8
Let v(q) = 79*q**2 + q - 4. Let w be 3 + (6 - (-12)/(-6) - 9). What is the tens digit of v(w)?
1
Let z(u) = -u**3 + 2*u**2 + 6*u + 1808. What is the hundreds digit of z(0)?
8
Let d(r) = 1465*r**2 + 193*r - 743. What is the hundreds digit of d(4)?
4
Suppose -535 = -28*x + 4197. Suppose 618 = -x*t + 171*t. What is the tens digit of t?
0
Let c(a) = -130*a + 2. Suppose -4*b - 6*m = -2*m + 12, 1 = 3*b + m. Let j be ((-4)/8)/(1/b). What is the tens digit of c(j)?
3
Suppose -z - 2 = -4. Suppose -z*q = -1850 + 656. What is the tens digit of q?
9
What is the ten thousands digit of 6356*2 - (-7 - -13 - 8)?
1
Suppose -y = 3*d - 80117, 5*d - 115*y - 133531 = -117*y. What is the hundreds digit of d?
7
Let s = 115 + -115. Suppose b + 9*b - 3350 = s. What is the units digit of b?
5
Let k = 60 + -111. Let | {
"pile_set_name": "DM Mathematics"
} |
**2 + 12
What is the third derivative of q*u**4 - 4*q*u**3 - 477*q*u**2 - 7*u**4 wrt u?
24*q*u - 24*q - 168*u
Find the third derivative of b**3*g*o**3 - 183*b**3*g + 3*b**2*g + 8*b**2*o**3 + 7*b*o**3 wrt b.
6*g*o**3 - 1098*g
Find the second derivative of -4*k**4 - 67*k**3 - 284*k.
-48*k**2 - 402*k
What is the first derivative of 7*n**3*u**2 - 536*n**3 + 3*n**2*u**2 - 2*n*u**2 wrt u?
14*n**3*u + 6*n**2*u - 4*n*u
What is the derivative of 10*f*k**3*t**2 - 3*f*k**3 + 8*f*k**2*t**2 + 2*f*k**2 + 17*k**3 wrt t?
20*f*k**3*t + 16*f*k**2*t
What is the first derivative of -5*s**2 - 1802*s + 3238 wrt s?
-10*s - 1802
What is the third derivative of -k**4 + 11*k**3 + 214*k**2?
-24*k + 66
Differentiate -2*d**2*i**2 - d**2*i*p + 18*d*i**2*p - i**2*o*p + 19*i**2 - 2*i*o with respect to p.
-d**2*i + 18*d*i**2 - i**2*o
Find the first derivative of 81*v**2 - 3*v + 1173 wrt v.
162*v - 3
Find the second derivative of -19*j**4 + 140*j**2*r - 2*j*r - r - 306 wrt j.
-228*j**2 + 280*r
Find the third derivative of -2035*k**6 + 5*k**4 - 18413*k**2 wrt k.
-244200*k**3 + 120*k
What is the first derivative of -7185*u - 2212?
-7185
Find the second derivative of 5*i**3*r**2 - 2*i**3 - 26*i*r**2 + 2*i*r - 1 wrt r.
10*i**3 - 52*i
Find the third derivative of 3*t*x**6 - 4*t*x**2 + 2*t*x - 233*x**6 + 8*x**2 wrt x.
360*t*x**3 - 27960*x**3
What is the first derivative of -69*b*m**4 + 53*b*m + b + 190 wrt m?
-276*b*m**3 + 53*b
What is the second derivative of 560*g**5 - 434*g?
11200*g**3
Find the second derivative of 5*n**4 - 58*n**2 + 146*n + 1.
60*n**2 - 116
What is the second derivative of k**2*t**2*v*x + 134*k**2*v*x - 2*k**2*v + 17*k*t**2*x + 2*k*t*v*x + 5*k*t*x - t**2*x + 2*x wrt k?
2*t**2*v*x + 268*v*x - 4*v
Find the third derivative of -133*f**3*h - 2*f**3*n**3 + f**3 - 19*f**2*h*n - f**2*h - 9*f*n**3 wrt f.
-798*h - 12*n**3 + 6
What is the third derivative of -157*w**4 + 1103*w**2?
-3768*w
What is the second derivative of 4*n**5 + 134*n wrt n?
80*n**3
Find the second derivative of 874*h**5 + 4*h**2 - 29761*h.
17480*h**3 + 8
Find the first derivative of 547*b*q*x**2 - 1800*b*q + b*x**2 + 2*q + 2*x**2 wrt x.
1094*b*q*x + 2*b*x + 4*x
Find the first derivative of -6*k*s*w**2 - k*s*w + 21*k*s + 2*s*w**2 - 22*s*w + 2*w**2 wrt k.
-6*s*w**2 - s*w + 21*s
Find the second derivative of 447*i**3*j**2 + 2*i**3*j + 127*i**2 - j**3 + j wrt j.
894*i**3 - 6*j
What is the second derivative of 374*q**2*z**2 - 54*q**2 - 2*q*z wrt z?
748*q**2
What is the derivative of 190*z + 472 wrt z?
190
What is the second derivative of -2*j**5*p + 409*j**5 + 14*j - p wrt j?
-40*j**3*p + 8180*j**3
Find the third derivative of 26*v**5 - 10*v**3 + 6*v**2 - 146.
1560*v**2 - 60
What is the third derivative of -49*z**4 - 2*z**3 + 3689*z**2 wrt z?
-1176*z - 12
What is the second derivative of 2*i**2*t*u**2 + 973*i**2*u**2 + 200*i*t*u**2 - 2*i*t*u wrt i?
4*t*u**2 + 1946*u**2
What is the derivative of 4*a**2*i**2*l + 18*a**2*i**2 + 2*a*l - i**2*l wrt l?
4*a**2*i**2 + 2*a - i**2
Find the first derivative of -9*i**2*v**3 - 3*i**2*v - 198*i**2 - 2*i*v**2 wrt v.
-27*i**2*v**2 - 3*i**2 - 4*i*v
What is the first derivative of -87*w - 24?
-87
Differentiate 388*r*y - y - 152 wrt r.
388*y
What is the derivative of -94*k**4*r + k**3*r - k**2*r - 39*r - 4 wrt k?
-376*k**3*r + 3*k**2*r - 2*k*r
What is the third derivative of 2921*r**6 - 12*r**2 + 2*r + 111 wrt r?
350520*r**3
What is the derivative of -j**3 - 7656*j**2 - 11603?
-3*j**2 - 15312*j
What is the second derivative of -g**4 + 568*g**2 + 1933*g wrt g?
-12*g**2 + 1136
Find the second derivative of 84*o**5 - 2*o + 24.
1680*o**3
Find the second derivative of -2472*q**5 + q**3 + 1786*q.
-49440*q**3 + 6*q
Find the second derivative of -p**4 - 2459*p**3 - 41*p - 6.
-12*p**2 - 14754*p
What is the derivative of 176*q*v + 14*q + 4 wrt v?
176*q
Find the third derivative of 9*k*p**6 + 16*k*p**5 - 16*k*p + p**2 wrt p.
1080*k*p**3 + 960*k*p**2
What is the second derivative of 261*h**2*m**5 + 2*h**2*m - 2*h**2 + 31*m wrt m?
5220*h**2*m**3
Differentiate -148*d*h*k**2 - 309*d*k**2 + 3*h**2*k + 2*k**2 wrt h.
-148*d*k**2 + 6*h*k
Find the second derivative of 87*p**2*u**3 - 2*p**2*u**2 + p**2 - 2*p*u - 87*p + u**4 wrt u.
522*p**2*u - 4*p**2 + 12*u**2
What is the second derivative of 282*g**4*k**3 + 2*g**2*k - 23*g*k**2 - k**3 - 2 wrt g?
3384*g**2*k**3 + 4*k
What is the second derivative of 3*a**2*c**2 - a**2*c*v - 4*a**2*v + a**2 + 912*a*c**5*v - c**2*v - 2*c*v - 96*c wrt c?
6*a**2 + 18240*a*c**3*v - 2*v
Find the first derivative of -43*h**4 - 2*h**3*u - 2*h*u + 2426*u wrt h.
-172*h**3 - 6*h**2*u - 2*u
Find the second derivative of 2*h*k**2*l**2*n + 2*h*k**2*l**2 + 2*h*k**2 - 9*h*k*l**2 + 2*h - k**2*l - 69*k*l*n - n wrt l.
4*h*k**2*n + 4*h*k**2 - 18*h*k
Find the first derivative of -239*d**2*x + 230*d**2 wrt x.
-239*d**2
What is the third derivative of -124*q**2*y**6 + 3*q**2*y**2 + 2*q**2 - 119*q*y**2 - 15*y**6 wrt y?
-14880*q**2*y**3 - 1800*y**3
Differentiate 1112*i*o - i + 1012 with respect to o.
1112*i
Find the third derivative of -x**4 - 1123*x**3 - 3546*x**2 wrt x.
-24*x - 6738
Differentiate -1644*i**2*n**3 - 2*i*n - 2*n**3 - 1318 with respect to i.
-3288*i*n**3 - 2*n
What is the derivative of -2*s*x + 1034*s - 6582*x wrt s?
-2*x + 1034
What is the second derivative of -10*c**3*p - 2*c**3 + c**2*p**2 - c**2*q + 2*c*p**2*q + 10*c*p**2 + c*q wrt c?
-60*c*p - 12*c + 2*p**2 - 2*q
What is the derivative of 10841*a*l - 13730*a wrt l?
10841*a
Find the second derivative of 33*a**3 + 3*a**2 - 9*a + 6.
198*a + 6
What is the first derivative of -3857*a - 1782 wrt a?
-3857
Find the first derivative of 212*j*m**2*q + j*m*q**3 + j*q + 73*j - 3*m**2 - 2 wrt q.
212*j*m**2 + 3*j*m*q**2 + j
Differentiate 137*f**2 + 2*f + 49 wrt f.
274*f + 2
What is the second derivative of -2*s**5 + 189*s**3 - 120*s + 2 wrt s?
-40*s**3 + 1134*s
Find the second derivative of -13*i**2*n**2*r**2 - 5*i**2*n**2*r + i*n**2*r**2 + i*n*r - 2*r**2 wrt i.
-26*n**2*r**2 - 10*n**2*r
What is the derivative of 6*c**2*v*x + 4*c**2*v + 7*c**2*x + 376*c*v + 3*v*x wrt x?
6*c**2*v + 7*c**2 + 3*v
What is the first derivative of i**2*s + 15*i**2 + 214*s wrt i?
2*i*s + 30*i
Find the third derivative of w**6 + 232*w**5 + 3*w**3 - 1652*w**2 wrt w.
120*w**3 + 13920*w**2 + 18
Find the second derivative of -917*i**4 - 3513*i wrt i.
-11004*i**2
Find the second derivative of -556*b**2*i**3 - 62*b - 12*i**3 wrt b.
-1112*i**3
Differentiate 2*f**2*g*j - 343*f**2*j**2 + 49*g*j**2*w - 6*g*j*w - 3*w with respect to g.
2*f**2*j + 49*j**2*w - 6*j*w
Find the first derivative of 171*q**2 + 186 wrt q.
342*q
What is the derivative of -4801*b**2 - 3*b - 10664?
-9602*b - 3
Differentiate -5*m**3*v*w**2 - 2*m**3*v + 3*m**3*w - 2*m**3 + m*v - 98*v + 59*w**2 with respect to w.
-10*m**3*v*w + 3*m**3 + 118*w
What is the third derivative of 14898*c**6 + 3*c**2 + 279*c - 8?
1787760*c**3
Differentiate 2*p**2 - 1933*p + 1070 with respect to p.
4*p - 1933
What is the second derivative of -d**2*v**4 + 8*d**2*v - 4*d**2 + 4*d + 1451*v**4 wrt v?
-12*d**2*v**2 + 17412*v**2
What is the derivative of -465*c + 11438 wrt c?
-465
Find the second derivative of 7034*p**3 - 7683*p wrt p.
42204*p
Find the first derivative of -121*q**3 + 203 wrt q.
-363*q**2
Differentiate -3*z**4 + 509*z**2 - 8774 with respect to z.
-12*z**3 + 1018*z
What is the derivative of 62*w**4 + 132 wrt w?
248*w**3
What is the derivative of 3*k**4*y**2 + 30*k**3*v*y**2 - 2*v*y**2 + 3*v*y + 2*y**2 wrt k?
12*k**3*y**2 + 90*k**2*v*y**2
Find the third derivative of -695*k**4*n - 5*k**4 - 419*k**2 - n wrt k.
-16680*k*n - 120*k
What is the third derivative of -s**4*u - 245*s**4 + 2*s**3 + 29*s**2*u - 11*s**2 + 2*u + 2 wrt s?
-24*s*u - 5880*s + 12
What is the third derivative of 43*s**6 - 4*s**4 - 48*s**2 - 5*s?
5160*s**3 - 96*s
What is the third derivative of -2*z**5 - 3*z**4 - 40*z**2 wrt z?
-120*z**2 - 72*z
What is the third derivative of -n**3*w*x**3 + n**3*w*x**2 + 2*n**3*x + 156*n*w*x**3 - 79*w wrt x?
-6*n**3*w + 936*n*w
Differentiate -385*p + 346 with respect to p.
-385
What is the third derivative of 2*w*z**3 - 756*w - 106*z**3 - 2*z**2 wrt z?
12*w - 636
What is the derivative of 5969*i*j + 6*j + 55 wrt i?
5969*j
What is the third derivative of -5*b**5 + 93*b**4 - 953*b**2?
-300*b**2 + 2232*b
Find the f | {
"pile_set_name": "DM Mathematics"
} |
2 (b) 11 (c) l
c
Suppose 4*n = -38 - 22. Let w = n + 18. Which is the closest to 1? (a) -0.2 (b) w (c) -4/9
a
Let f = 0.17 - 57.17. Let w = f + 61. What is the closest to -1/4 in 0.4, 5, w?
0.4
Suppose s + v + 1 + 4 = 0, 2*s - 3*v = 0. Let d = -5 - -8. Which is the nearest to -1? (a) d (b) s (c) 0.3
c
Let j be ((-3)/(-12))/((-36)/48). What is the nearest to -1/3 in -6, 0.1, j?
j
Let q = 502 - 501. What is the nearest to -1 in q, 1/6, 0, 0.1?
0
Let v = -20.6 + -1.4. Let k = v - -22. What is the nearest to -0.1 in 0.2, k, 3/5?
k
Let j = 178/3 - 58. Let s = 84 - 83.9. What is the closest to -5 in j, -0.4, s?
-0.4
Let u = -0.5 - 0.1. Let w = -2.6 + -2.4. Which is the nearest to u? (a) -4/3 (b) w (c) 0
c
Let j = 4076 - 16445/4. Let w be (-14)/4*(15 - 5). Let z = j - w. Which is the closest to z? (a) -0.1 (b) 1 (c) 3
a
Let i = -282 + 282. Let g = 0.1 - -0.4. What is the nearest to 2 in i, g, -5?
g
Let s(b) = b**2 + 7*b + 5. Let o be s(-5). Let t = -0.199 - 0.001. Suppose 5*p - 2 = -7. What is the nearest to p in -1, o, t?
-1
Let n = -5.15 - 35.74. Let p = 41 + n. What is the nearest to 1/3 in p, 0.4, 5?
0.4
Let z = 490 + -489.7. Which is the closest to -2/7? (a) z (b) -0.4 (c) -3/2 (d) 1/3
b
Let p = -5/44 + 4/11. What is the closest to -1 in 5, p, -4/9, -3?
-4/9
Let s = 9 + -12. Let m = 2 - s. Suppose q - 5*r - 18 = 0, 3*r - 5*r = 2*q + 12. Which is the nearest to -3? (a) -2/13 (b) m (c) q
c
Let y = -0.21 - 4.79. Suppose 0 = -5*h - 3*x + 42, 5*h + 5*x = 43 + 7. Which is the closest to h? (a) -2 (b) -0.1 (c) y
b
Let j = 184/315 - -1/63. Suppose 7 = 5*k - 2*l - 11, 4*l = k. Suppose 5*v = v + k. Which is the closest to -0.1? (a) j (b) 5 (c) v
a
Suppose -15 = i + 4*y, -6*y + 8 = 4*i - 7*y. Let k = 0 - 0.1. Which is the nearest to i? (a) 0 (b) 0.2 (c) k
b
Let y = -9 - -4. Let x = -0.04 + 1.94. Let k = 0.1 + x. What is the nearest to -2/7 in k, y, 1/7?
1/7
Let l = 0.13 - 12.13. Let n = 3628/3 + -1210. Which is the nearest to 2/5? (a) l (b) -1 (c) n
c
Let v = 3.48 + -4.48. Which is the closest to v? (a) 1/3 (b) 0.3 (c) 2 (d) -2/7
d
Let n = 5.1 - 0.1. Let p = 4778 + -4780. Which is the nearest to 1/4? (a) n (b) p (c) 1
c
Let x = 203 + -203.4. Let h = 0.05 + -3.05. Let j = 0.02 - 2.02. Which is the nearest to 2? (a) h (b) x (c) j
b
Let t be 1/((-10)/(-2 - 0)). Let q = -0.4 + 0.18. Let y = q - -0.52. Which is the closest to 1/3? (a) t (b) -6 (c) y
c
Let t be ((-1)/9 + 0)/((-19)/(-114)). What is the closest to -1 in -3/5, 0.5, t?
t
Let u = 1766 + -1767. What is the nearest to u in -0.038, -3, 5, 3?
-0.038
Let t = -41 + 24. Let x = t + 13. Let w be -2 + 4 + 2/(-2). Which is the nearest to w? (a) 1 (b) -3/2 (c) x
a
Let q be (3 + 0 + -4)*6. Let w be 3/q - 399/(-6). Let v be 2/9 - w/(-189). What is the closest to 0 in v, -2/7, 1?
-2/7
Let r(s) be the second derivative of -5*s**3/6 - 27*s**2/2 + 13*s. Let l be r(-6). Let y = 1.8 - -0.2. Which is the closest to 1? (a) 1/11 (b) l (c) y
a
Let i = -70 + 68. Let y = 1.3 - 1. Which is the nearest to 3/7? (a) y (b) i (c) -3
a
Let d = 0.2 - 0.6. Let y = -17.35 - -0.35. Let h = y + 16.9. Which is the nearest to -2/7? (a) d (b) h (c) 3/2
a
Let m = 3394 + -3394.3. Let q = 1 - 0. Which is the nearest to -1? (a) m (b) 5 (c) q
a
Suppose 2*g = j - 212, -4*g - 824 = -4*j - 2*g. Let p = j + -1834/9. Which is the closest to -2/3? (a) 2/17 (b) -4/9 (c) p
b
Let t = -3.38 - -5.38. What is the closest to -0.1 in 0.4, 3/7, t?
0.4
Let o(w) = -w**2. Let d be o(0). Suppose 5*g - 5 = 0, -5*g = -2*x - 5 - 14. Let z = 27/4 + x. Which is the closest to d? (a) z (b) -2/11 (c) -5
b
Let m = -3 - 1. Let g = -337.05 - -337. What is the nearest to 2/5 in -1/7, g, m?
g
Let b = -279 - -2509/9. What is the closest to -4/3 in -4, -0.3, b?
-0.3
Let v = 1.4 + 0.4. Which is the closest to -0.1? (a) 2/3 (b) v (c) -0.4
c
Let k = -0.7 - -0.6. Let w = -176/1313 - 2/101. What is the closest to k in -5, -1, w?
w
Let q = -235 + 1643/7. Which is the nearest to q? (a) 5 (b) 0 (c) 0.5
b
Let y = 964/7 + -138. Let s = -11.64 - -11.34. Which is the nearest to y? (a) 3 (b) s (c) 2
b
Let v be (-2)/(-7)*7/(-3). What is the nearest to 9 in v, -3/8, -0.4, 5?
5
Suppose 3*h + 6 = -z, z + 3 - 5 = 5*h. Let i be (z - (-34)/8)*(-1)/5. What is the nearest to 6 in i, 1, -2?
1
Suppose 4*s - 2*k - 3*k + 3 = 0, -k - 3 = s. Let f(w) = -w - 5. Let q be f(s). Which is the nearest to 0? (a) 0.04 (b) q (c) 4
a
Let s = 34 - 26. Let m = -4 + s. Which is the closest to 1? (a) -1 (b) 1 (c) m
b
Let u be (4/6)/(-11 + (-273)/(-27)). Which is the nearest to u? (a) -0.2 (b) 1/5 (c) 2/5
a
Let k(a) = -8*a + 286. Let l be k(36). What is the closest to -2/5 in 0, l, -2/5, -0.01?
-2/5
Let s = -2.2 + 4.2. Which is the closest to s? (a) 2 (b) -0.2 (c) 15 (d) -0.1
a
Suppose -4*l - 2*w - 23 - 9 = 0, 5*l = w - 26. Let k = 34 - 33. Let m = 36.5 + -36. Which is the nearest to -2? (a) k (b) m (c) l
b
Suppose 96*d - 566*d = -1880. Let v = 4/51 - -22/153. Which is the closest to v? (a) -0.5 (b) d (c) 0.2
c
Let n = 2.16 - 2.45. What is the nearest to 1/4 in n, -2, -3?
n
Let a = 332 + -1993/6. What is the closest to 0.1 in 0.5, a, -2.6?
a
Let h be 0/(-6 - -14) - 2/8. Let f = -0.3 - -0.6. Which is the nearest to 0.1? (a) f (b) h (c) 7
a
Let x = -1 - -11. Let z = 10.2 - x. Suppose 0 = d - 5*d + 4. Which is the nearest to -2? (a) z (b) d (c) -2/11
c
Let a = -7 + 7.03. Let n = -0.267 - 0.233. What is the closest to a in -3, 4, n?
n
Let x = 3/23 - 90/161. What is the closest to -0.1 in x, -4, 11/2?
x
Let q be (-121)/836 + (-26)/(-104). Let h = 3 + -2. Which is the nearest to h? (a) -0.2 (b) q (c) -4
b
Let k(a) = -2*a**2 - 2*a + 19. Let d be k(6). Let m be 3 - (-2)/(40/d). What is the closest to m in 1/8, 1, -1/7?
-1/7
Suppose -o - 5*n - 7 = 0, -30*n = 5*o - 32*n + 8. Let w = -5 + 4.7. Which is the closest to w? (a) 2/15 (b) o (c) 0.4
a
Suppose -480 = -24*m - 504. Which is the closest to -0.1? (a) 4 (b) 0.03 (c) 0.4 (d) m
b
Suppose -2 = -4*p - 10. Let f(k) = -3*k**3 - k**2. Let t be f(-1). Suppose t*j + j + 3 = 0. What is the nearest to 0.1 in j, p, -3/8?
-3/8
Let h(v) = -2*v**3 + 24*v**2 - 18*v - 39. Let z be h(11). Which is the closest to 2/7? (a) -4/7 (b) 1/11 (c) z (d) -4
b
Let r(k) = -k + 1. Let z be r(-4). Let h = -0.18 - -0.18. Let n = 0.28 - 0.08. Which is the closest to h? (a) 0 (b) n (c) z
a
Let d be (-18)/(-24)*(-6)/9. What is the nearest to 1/5 in 0.4, d, 0.5?
0.4
Let q = -420.8 - -421. What is the closest to q in -2/7, 0.04, -14?
0.04
Let s = -129/130 - -9/13. Which is the nearest to -2/7? (a) 2/5 (b) -2/15 (c) s
c
Let s = -4 + 0. Let b = 537 + -539. What is the nearest to -9 in -1/7, b, s?
s
Let v = -39.9 + 40.1. Which is the closest to 1? (a) 5 (b) 2 (c) -0.4 (d) v
d
Let v be (14 - (7 - -4))*(-4)/138. Let r = -2.51 + 0.21. Let p = r + 0.3. Which is the nearest to 0? (a) p (b) -3 (c) v
c
Let z(k) = -k - 21. Let y be z(9). Let l be 2 - (0 + 6724/y). Let i = l + -226. Which is the closest to 1/3? (a) i (b) -5 (c) -2/7
a
Let k = -75 - -53. Let x = 21 + k. Let t be 2/(-8) - 2/4. Which is the closest to 0? (a) x (b) t (c) -3
b
Let i(y) = -y**2 - 9*y + 4. Let o be i(-10). Let l be o/21 - (-45)/84. What is the nearest to l in -3, 0.5, -2?
0.5
Let p = -19.04 - -19. Let f = -0.08 - p. Which is the closest to 2/5? (a) f (b) -2/7 (c) 0
c
Let w = -70 - -75. Suppose w*n = n. What is the closest to n in 0.3, 2, 0.5?
0.3
Let o = 0.1 - 0.1. Let x = 349 - 346. What is the nearest to o in 0.2, 5, x?
0.2
Let q = 3 + 2. Let w = q + -5.1. Let j be (5/50 - 0)/((-1)/(-4)). What is the nearest to j in 3/2, w, -1/5?
w
Let m = 3/13 + 17/39. Let n(r) = r**2 - r - 6. Let q be n(7). Let g be (-2)/(-11) - q/(-44). What is the closest to g in m, -4, 0.5?
m
Let x(f) = 3*f + 4. Let a be (-1 - -2)*1/(-1). Let j be x(a). Let w(l) = -3*l**2. Let o be w(j). What is the nearest to 2 in o, -0.4, 0.3?
0.3
Let v(g) = -g**2 - 30*g - 29. Let y be v(-29). Which is the nearest to y? (a) 1 (b) 5 (c) 4 (d) -0.4
d
Let t = 1.1 - 1. Let m = -76.969 + 77. Let g = m + 2.969. Which is the closest to t? (a) -0.4 (b) -3 (c) g
a
Let x(s) = 50*s - 2. Let r be x(0). Which is the nearest to -9? (a) 4 (b) -1 (c) r ( | {
"pile_set_name": "DM Mathematics"
} |
1433.423 to the nearest 10.
1430
What is 0.00028500487 rounded to six decimal places?
0.000285
Round -237161 to the nearest 100000.
-200000
What is 1.088068 rounded to two decimal places?
1.09
Round -10632.845 to the nearest integer.
-10633
What is 0.062517 rounded to 2 decimal places?
0.06
What is -2113210 rounded to the nearest one hundred thousand?
-2100000
Round 616190 to the nearest one thousand.
616000
Round 1986410 to the nearest one hundred thousand.
2000000
Round -0.026482735 to four dps.
-0.0265
Round -7693.371 to the nearest 100.
-7700
What is 3661680 rounded to the nearest 10000?
3660000
Round -45.06 to the nearest 100.
0
Round 56291.35 to the nearest 10000.
60000
Round -45378 to the nearest one thousand.
-45000
Round 367.934 to the nearest one hundred.
400
What is 124147500 rounded to the nearest one million?
124000000
What is -0.0000036168 rounded to 7 dps?
-0.0000036
Round 369.301 to 0 dps.
369
Round -0.000486548 to 3 decimal places.
0
What is -125673.58 rounded to the nearest ten thousand?
-130000
What is 11647330 rounded to the nearest 1000000?
12000000
Round -0.0020119467 to six decimal places.
-0.002012
What is -0.1745992 rounded to three decimal places?
-0.175
What is 152.56 rounded to the nearest one thousand?
0
What is -139134000 rounded to the nearest one million?
-139000000
What is -0.0000018438246 rounded to seven dps?
-0.0000018
Round 6367280 to the nearest 10000.
6370000
Round 0.0099251 to 5 decimal places.
0.00993
What is -127375.61 rounded to the nearest one hundred?
-127400
What is 66510000 rounded to the nearest one million?
67000000
Round -10.6182 to the nearest 10.
-10
What is 1.771824 rounded to one decimal place?
1.8
Round 73638.6 to the nearest ten thousand.
70000
What is -3127777 rounded to the nearest 10000?
-3130000
Round -0.44130279 to 1 decimal place.
-0.4
What is -12.3063 rounded to one decimal place?
-12.3
What is -0.5044869 rounded to four decimal places?
-0.5045
What is -310.0278 rounded to the nearest one hundred?
-300
Round -328958 to the nearest ten thousand.
-330000
Round -0.001993187 to six dps.
-0.001993
Round 1749.1 to the nearest ten thousand.
0
What is 1247.46 rounded to the nearest 100?
1200
Round 66568.905 to the nearest 10000.
70000
Round -0.004457001 to 6 dps.
-0.004457
Round 0.00008620081 to five dps.
0.00009
Round 0.133184 to 1 decimal place.
0.1
Round 21319530 to the nearest one million.
21000000
Round -25858050 to the nearest 100000.
-25900000
Round 58009200 to the nearest one hundred thousand.
58000000
What is 1.394478 rounded to 3 decimal places?
1.394
Round 10.5918 to the nearest 10.
10
What is -0.000016495559 rounded to six dps?
-0.000016
What is 0.011779302 rounded to four decimal places?
0.0118
What is 32553770 rounded to the nearest one hundred thousand?
32600000
What is -0.00318724 rounded to 3 decimal places?
-0.003
What is -113.2406 rounded to 1 dp?
-113.2
Round 16.46184 to 2 dps.
16.46
Round -4783.811 to the nearest one thousand.
-5000
Round 1354.8 to the nearest integer.
1355
What is -0.000009742901 rounded to 6 decimal places?
-0.00001
What is -0.000007623083 rounded to seven decimal places?
-0.0000076
What is -3.4249 rounded to 1 dp?
-3.4
Round 55970496 to the nearest ten thousand.
55970000
Round 1749836 to the nearest 10000.
1750000
Round -514.449 to the nearest 10.
-510
Round -0.002358801 to 4 decimal places.
-0.0024
What is 0.000272313 rounded to four dps?
0.0003
Round -100294 to the nearest 10000.
-100000
Round -0.000146989 to seven decimal places.
-0.000147
Round 122501.7 to the nearest 100.
122500
What is 234.5219 rounded to zero decimal places?
235
Round 352.8332 to the nearest ten.
350
Round 0.021141572 to 5 dps.
0.02114
What is -0.000057535971 rounded to six dps?
-0.000058
Round -2.59662 to 2 dps.
-2.6
Round 8981295 to the nearest 1000000.
9000000
What is 536098 rounded to the nearest 1000?
536000
What is -10579.706 rounded to the nearest 10?
-10580
Round 0.00051534255 to 6 decimal places.
0.000515
Round -0.00001428479 to 6 decimal places.
-0.000014
What is -0.00007585399 rounded to 7 decimal places?
-0.0000759
What is -13.52505 rounded to the nearest ten?
-10
Round 0.00054548 to 5 decimal places.
0.00055
What is -236.2065 rounded to one decimal place?
-236.2
Round 0.0000014298644 to 7 decimal places.
0.0000014
What is 0.00002497871 rounded to six dps?
0.000025
Round -14791.83 to the nearest one thousand.
-15000
What is 54.7237 rounded to the nearest integer?
55
Round 0.000010942 to five dps.
0.00001
What is 21.052091 rounded to 1 decimal place?
21.1
Round 530.88 to the nearest 100.
500
Round -18081350 to the nearest 1000000.
-18000000
What is 176877 rounded to the nearest 100000?
200000
What is 0.0003333112 rounded to 5 dps?
0.00033
Round -4558988 to the nearest one million.
-5000000
What is -0.000126374 rounded to 6 dps?
-0.000126
What is -201.47282 rounded to one decimal place?
-201.5
What is -6.60842 rounded to 2 decimal places?
-6.61
Round 0.0174588 to four dps.
0.0175
What is -9703840 rounded to the nearest 10000?
-9700000
Round -474953.6 to the nearest one thousand.
-475000
What is 14947410 rounded to the nearest ten thousand?
14950000
What is -0.000157035 rounded to 5 dps?
-0.00016
Round 431.0353 to the nearest integer.
431
Round 0.0020305885 to 6 decimal places.
0.002031
What is -5037.334 rounded to the nearest 10?
-5040
What is 0.06069716 rounded to four dps?
0.0607
Round -0.543993 to 2 decimal places.
-0.54
Round -153.301 to the nearest one hundred.
-200
What is -94392.8 rounded to the nearest 100?
-94400
What is -1.037725 rounded to one dp?
-1
Round -0.52854 to two decimal places.
-0.53
What is 185.987 rounded to the nearest ten?
190
What is 0.000049935 rounded to 7 dps?
0.0000499
What is -1006540000 rounded to the nearest 1000000?
-1007000000
Round -55913.64 to the nearest one thousand.
-56000
Round 0.000126281733 to six dps.
0.000126
What is -2908.032 rounded to the nearest one thousand?
-3000
Round -0.422021 to 3 decimal places.
-0.422
What is -136898.13 rounded to the nearest ten?
-136900
What is -2.216847 rounded to two dps?
-2.22
Round 0.0001052085 to six dps.
0.000105
Round -0.03799399 to five dps.
-0.03799
Round 0.0001112032 to five dps.
0.00011
Round 435402100 to the nearest one hundred thousand.
435400000
Round 0.0849546 to 3 decimal places.
0.085
Round -41495.9 to the nearest ten thousand.
-40000
Round -0.01318274 to 4 dps.
-0.0132
Round -44.7626 to the nearest integer.
-45
What is 98.3731 rounded to one dp?
98.4
What is -0.0000078844593 rounded to 7 decimal places?
-0.0000079
Round -6796081300 to the nearest one million.
-6796000000
What is -542101.5 rounded to the nearest 10000?
-540000
What is -136.3295 rounded to 0 decimal places?
-136
What is 2114.73 rounded to the nearest ten?
2110
What is 4759340 rounded to the nearest 100000?
4800000
What is -4752740 rounded to the nearest 1000?
-4753000
Round -2.960979 to one decimal place.
-3
Round 2907.04 to the nearest one hundred.
2900
What is 357.3126 rounded to one decimal place?
357.3
Round -779365.76 to the nearest 1000.
-779000
Round 0.00000061889 to seven decimal places.
0.0000006
What is 0.000268577 rounded to 5 decimal places?
0.00027
Round 0.00005253113 to 5 decimal places.
0.00005
Round -889.5913 to zero decimal places.
-890
Round -13220 to the nearest ten thousand.
-10000
What is 0.000403848 rounded to four decimal places?
0.0004
What is 1.82026 rounded to one dp?
1.8
Round 0.00001549019 to 5 decimal places.
0.00002
Round 0.0200922 to 5 decimal places.
0.02009
Round -0.01928974 to two decimal places.
-0.02
Round 147.744 to the nearest one hundred.
100
What is -231079.7 rounded to the nearest 10000?
-230000
What is -0.1633574 rounded to 2 decimal places?
-0.16
Round -0.00011654503 to 6 decimal places.
-0.000117
What is 0.003305408 rounded to four dps?
0.0033
What is -0.00014208259 rounded to seven dps?
-0.0001421
Round -18.18946 to 1 dp.
-18.2
Round 16441.688 to the nearest 10.
16440
Round -32.06318 to two dps.
-32.06
What is 0.00005337249 rounded to 5 dps?
0.00005
Round -0.0168011 to 3 dps.
-0.017
What is -1.0701 rounded to 1 decimal place?
-1.1
What is -189821450 rounded to the nearest ten thousand?
-189820000
What is -0.433573 rounded to one decimal place?
-0.4
What is 994 | {
"pile_set_name": "DM Mathematics"
} |
Determine v(16).
-24
Let f(b) = b**2 + 357*b + 1412. Determine f(-4).
0
Let x(i) = -2*i**2 + 132*i - 497. Calculate x(62).
-1
Let a(l) = -7*l**2 + 41*l - 158. Give a(5).
-128
Let l(v) = 343*v - 26083. Determine l(76).
-15
Let b(c) = -19*c**2 - 972*c - 144. Calculate b(-51).
9
Let p(j) = 877*j + 4364. Determine p(-5).
-21
Let p(m) = m**3 + 8*m**2 + 33*m - 14. What is p(-7)?
-196
Let l(c) = 60*c**2 + 489*c + 12. Determine l(-8).
-60
Let d(r) = -17*r**2 - 21*r - 11. What is d(-1)?
-7
Let m(s) = -13*s**2 + 2140*s + 817. Give m(165).
-8
Let l(f) = f**3 + 7*f**2 + 8*f + 247. Calculate l(-9).
13
Let j(h) = 3369*h - 10116. Give j(3).
-9
Let y(b) = 3*b**3 - 14*b**2 + 10*b + 14. Calculate y(4).
22
Let g(i) = i**3 - 36*i**2 - 459*i + 21. Give g(-10).
11
Let m(l) = -81*l + 206. What is m(3)?
-37
Let l(c) = c + 1. Give l(-8).
-7
Let h(t) = -t**2 + 13*t + 256. Give h(24).
-8
Let v(q) = -331*q - 4263. Give v(-13).
40
Let x(y) = -259*y**2 - 7*y + 7. What is x(1)?
-259
Let r(j) = -j**3 - 6*j**2 - 52*j - 726. Calculate r(-9).
-15
Let g(u) = -u**3 - 89*u**2 - 485*u + 1080. Give g(-83).
1
Let s(n) = -441*n - 12348. Calculate s(-28).
0
Let g(j) = -16*j + 1805. Calculate g(115).
-35
Let k(p) = -p**3 + 91*p**2 - 516*p + 521. Calculate k(85).
11
Let t(z) = 114*z + 140. Give t(-3).
-202
Let r(c) = -24*c**2 + 236*c + 41. Give r(10).
1
Let d(h) = 82*h - 193. Give d(2).
-29
Let f(s) = -254*s - 23862. Give f(-94).
14
Let w(h) = -7*h**2 + 11*h + 213. Give w(6).
27
Let t(i) = -8*i**3 + 367*i**2 + 51*i - 186. Give t(46).
44
Let p(v) = -257*v - 1009. Determine p(-4).
19
Let v(s) = s**3 + 9*s**2 - s + 51. Determine v(-10).
-39
Let d(w) = -w**3 - 22*w**2 - 40*w + 5. Determine d(-20).
5
Let z(h) = 5*h - 384. What is z(82)?
26
Let m(c) = -36*c**2 + 19*c + 20. Give m(-1).
-35
Let h(r) = r**2 - 27*r + 104. What is h(23)?
12
Let m(z) = z**3 - 100*z**2 - 10*z + 1020. Give m(100).
20
Let v(b) = b**3 + 45*b**2 + 13*b + 463. Determine v(-45).
-122
Let h(a) = 396*a + 5856. Calculate h(-15).
-84
Let t(u) = -13*u**2 - 91*u + 470. Calculate t(6).
-544
Let y(i) = -9*i**2 + 502*i - 2986. Give y(49).
3
Let a(s) = 10581*s + 116391. Determine a(-11).
0
Let b(z) = -238*z - 108. Calculate b(-1).
130
Let p(t) = 2*t - 47. Give p(35).
23
Let l(n) = 9*n**2 + 251*n - 67. Determine l(-28).
-39
Let j(z) = -z**2 + 945*z + 7611. Calculate j(-8).
-13
Let p(s) = -31*s**2 + 227*s - 47. Determine p(8).
-215
Let z(t) = 50*t + 60. What is z(-1)?
10
Let o(l) = -51*l + 673. Determine o(13).
10
Let s(m) = -153*m**3 + 6*m**2 + 7*m + 1. What is s(-1)?
153
Let m(s) = s**3 - 9*s**2 + s + 21. Calculate m(8).
-35
Let g(p) = -5*p**2 - 9*p + 186. What is g(-7)?
4
Let l(f) = 3*f**3 + 8*f**2 + 5*f + 2. Determine l(-3).
-22
Let t(q) = -1047*q - 7332. Determine t(-7).
-3
Let x(v) = -105*v - 4843. Give x(-46).
-13
Let l(s) = -2*s**2 - 57*s - 160. Determine l(-23).
93
Let y(x) = -x - 59. What is y(22)?
-81
Let x(z) = -51*z**2 - 709*z + 66. Give x(-14).
-4
Let l(t) = t**3 + 89*t**2 - 118*t - 2512. What is l(-90)?
8
Let k(y) = 50*y - 976. Calculate k(11).
-426
Let l(m) = -4*m**3 + 7*m**2 - 74*m + 350. Determine l(5).
-345
Let p(w) = 2*w**2 + 795*w - 38844. What is p(44)?
8
Let q(d) = -d**3 + 87*d**2 - 1782*d + 18. Determine q(54).
18
Let f(c) = -55*c**3 + 17*c**2 + 3*c - 5. Give f(1).
-40
Let y(k) = -k**3 + 66*k**2 - 11*k - 3453. Determine y(65).
57
Let w(m) = m**2 + 130*m - 1549. Determine w(-141).
2
Let x(y) = 2*y**3 - 14*y**2 - 38*y + 11. Give x(10).
231
Let n(d) = -12*d - 116. Give n(-10).
4
Let h(j) = -2*j**2 + 16*j + 41. What is h(10)?
1
Let g(z) = -96*z - 1180. Determine g(-12).
-28
Let o(v) = 17609*v + 211303. Give o(-12).
-5
Let n(f) = -3*f**2 + 208*f + 583. Give n(72).
7
Let u(w) = 3850*w - 46203. Give u(12).
-3
Let j(x) = -x**3 + 9*x**2 + 1074*x - 8666. What is j(8)?
-10
Let j(y) = 22*y + 160. Determine j(-8).
-16
Let f(k) = -2*k**2 - 287*k + 6722. Calculate f(-164).
-2
Let l(x) = 115*x**2 - 438*x - 4. Give l(5).
681
Let n(r) = -4689*r + 4694. Determine n(1).
5
Let n(a) = 28*a**2 + 14*a. Calculate n(-2).
84
Let j(l) = -l**3 + 68*l**2 + 214*l - 54. What is j(71)?
17
Let j(z) = 45*z + 269. Determine j(-6).
-1
Let d(z) = z**3 - 37*z**2 + 342*z - 23. Calculate d(20).
17
Let p(x) = x**2 - 115*x + 2757. What is p(34)?
3
Let u(o) = o**2 + 22*o + 6. Give u(-8).
-106
Let z(h) = -11*h - 99. Give z(-8).
-11
Let d(m) = -2*m**2 - 50*m - 53. Determine d(-26).
-105
Let y(m) = 1767*m + 15914. Give y(-9).
11
Let y(a) = -24*a**2 + 235*a - 154. Calculate y(9).
17
Let k(i) = -612*i - 601. What is k(-1)?
11
Let q(n) = -n**2 + 162*n - 2188. Determine q(147).
17
Let f(a) = -a**2 - 197*a - 1173. Determine f(-6).
-27
Let q(s) = -s**3 + 23*s**2 - 35*s + 31. Give q(21).
178
Let i(v) = v**2 - 14*v + 3. What is i(20)?
123
Let m(h) = h**3 + 11*h**2 - 6*h + 22. Determine m(-12).
-50
Let f(l) = 27*l**2 - l - 43. Determine f(-3).
203
Let i(o) = -1996*o - 14015. Calculate i(-7).
-43
Let i(t) = -t**2 - 57*t + 174. Determine i(-60).
-6
Let q(w) = 344*w - 5158. Determine q(15).
2
Let g(n) = n**3 + 2*n**2 + 13*n + 10. Give g(-6).
-212
Let d(r) = r**3 - 3*r**2 + 1167*r - 4695. Determine d(4).
-11
Let k(t) = -t**2 + 11*t + 825. Give k(35).
-15
Let q(k) = -62*k**2 - 16417*k + 3446. Determine q(-265).
1
Let v(f) = -562*f - 10688. Give v(-19).
-10
Let s(n) = -3*n - 104. Give s(-5).
-89
Let k(v) = -v**3 - 24*v**2 - 128*v + 70. What is k(-17)?
223
Let v(p) = p**2 - 12*p - 5. What is v(11)?
-16
Let o(m) = 3*m**2 - 7*m + 27. Determine o(5).
67
Let o(d) = -106*d**2 - 1370*d + 34. Determine o(-13).
-70
Let m(x) = x**3 - 27*x**2 - 310*x - 513. Determine m(36).
-9
Let p(r) = r**2 - 3*r + 2. Give p(-5).
42
Let k(q) = q**2 - 308*q - 1216. Give k(-4).
32
Let v(f) = -183*f - 3670. Calculate v(-20).
-10
Let f(q) = 22*q**3 + 4*q**2 + 6*q + 4. What is f(-1)?
-20
Let g(d) = 3*d**2 - 2*d - 5. Calculate g(-3).
28
Let w(y) = -y**2 - 188*y - 1255. What is w(-7)?
12
Let a(i) = -68*i**3 - 16*i**2 + 36*i. Give a(2).
-536
Let m(g) = 2*g**2 - 15*g - 73. Calculate m(-8).
175
Let t(z) = 850*z**3 + 4*z**2 + 55*z + 53. Determine t(-1).
-848
Let l(a) = -3*a**2 + 96*a - 663. What is l(22)?
-3
Let c(u) = -645*u - 6450. What is c(-10)?
0
Let r(y) = 2*y**3 - 17*y**2 - 29*y + 55. What is r(10)?
65
Let c(m) = 3*m**2 + 244*m - 1586. What is c(6)?
-14
Let o(m) = -m**3 - 27*m**2 - 96*m - 551. What is o(-24)?
25
Let f(t) = 2*t**3 + 2*t**2 + 26*t + 37. Calculate f(-4).
-163
Let v(c) = 210*c + 5456. What is v(-26)?
-4
Let d(h) = -2*h**2 - 221*h + 2599. Determine d(11).
-74
Let q(i) = -8*i**2 - 4*i + 64. Determine q(-3).
4
Let a(d) = d**3 + 35*d**2 + 238*d + 31. Give a(-25).
331
Let v(l) = l**3 - 33*l**2 + 129*l - 1173. Give v(30).
-3
Let d(y) = y**3 - 33*y**2 + 90*y - 50. Calculate d(30).
-50
Let r(k) = -51*k**3 - k**2 - 5*k - 5. Give r(-1).
50
Let q(m) = 120*m + 836. Calculate q(-7).
-4
Let z(t) = 3*t**2 - 24*t - 49. What is z(11)?
50
Let t(c) = -3*c**3 - 111*c**2 - 107*c + 44. Calculate t(-36).
8
Let k(r) = 418*r + 6265. Determine k(-15).
-5
Let v(r) = -89*r + 1738. What is v(19)?
47
Let a(j) = -j**3 + 99*j**2 + 100*j - 76. What is a(100)?
-76
Let p(y) = -996*y - 65. Calculate p(-1).
931
Let l(z) = z**3 - 29*z**2 + 501*z - 11012. Calculate l(26).
-14
Let s(b) = -b**2 - 17*b + 66. What is s(-22)?
-44
Let m(h) = 34*h - 342. Calculate m(10).
-2
Let w(x) = 199*x + 7164. Give w(-36).
0
Let q(u) = -2*u**2 + 1913*u - 5714. Give q(3).
7
Let i(b) = -b + 22. What is i(21)?
1
Let d(m) = -38*m**2 - 885*m + 37. Determine d(-23).
290
Let i(u) = -u**2 - 219*u + 19909. Determine i(-288).
37
Let v(k) = 14*k - 249. Determine v(20).
31
Let c(h) = -1287*h - 3856. Calculate c(-3).
5
Let w(n) = -73*n - 171. Determine w(2).
-317
Let s(o) = o**3 - 18*o**2 + 3*o + 29. Calculate s(17).
-209
Let w(u) = -u**3 + 5*u**2 + 216*u - 9. Give w(17).
195
Let v(y) = -36*y + 138. Determine v(4).
-6
Let v(t) = -6*t**2 + 62*t - 4. What is v(3)?
128
Let o(n) = -15*n**2 + 37*n - 92. What is o(4)?
-184
Let q(n) = -21*n + 105. Calculate q(4).
21
Let l(c) = 118*c**2 - 243*c + 1. Calculate l(2).
-13
Let w(c) = -7*c**2 - 3*c - 23. Calculate w(-5).
-183
Let d(r) = r**3 + 25*r**2 - 49*r + 47. Calculate d(-27).
-88
Let o(c) = -77*c - 401. Determine o(-4).
-93
Let p(f) = 7*f**2 - 52*f + 211. Give p(6).
151
Let v(z) = -2*z**3 + 3*z**2 + 7*z - 59. | {
"pile_set_name": "DM Mathematics"
} |
True
Suppose -9099 = -h - p, -2*h + 2*p + 21193 = 2991. Let i = h - 1979. Is i a composite number?
False
Let r(v) = 7*v. Let a be ((-5)/(-3))/((-11)/(-33)). Is r(a) a composite number?
True
Suppose 3*v + v - 20 = 0. Is (-2 - -2) + v + 368 a prime number?
True
Suppose -2*r + 2*w = -12, 4*w = -2*r - w - 2. Suppose 100 = 2*v + 3*v - 5*a, -4*v - r*a = -88. Is v a prime number?
False
Let z = 103 + -105. Is (z/8)/((-7)/13972) prime?
True
Let w(l) = -l**3 - 1. Let i(g) = 3*g**3 + 9*g**2 - 2*g + 13. Let c(u) = -i(u) - 2*w(u). Is c(-12) a prime number?
True
Is -6 + 7 + 5/(-5) - -20019 a prime number?
False
Suppose 2*r = 3*b - 2245, -4*b = b - 5*r - 3735. Is b prime?
True
Suppose -74*d + 853014 = -1889648. Is d prime?
False
Let a(j) = j**2 + 9*j - 3. Let r be a(-17). Suppose 4*h + r = -i + 2*i, -251 = -2*i + 5*h. Is i composite?
False
Suppose 4*p - 3888 = -5*y, -2*y + 455 = -3*p - 1114. Let q(j) = 36*j - 383. Let k be q(21). Let u = y - k. Is u prime?
False
Suppose z = 5*h + 3*z - 17, 0 = 2*z + 8. Suppose 4*x = h*w + 584 - 2328, 1738 = 5*w + 2*x. Is 7 + -7 + w + -1 composite?
False
Let f = -28 + 92. Suppose f + 77 = 3*s. Is s prime?
True
Let z be (55/10)/(3/18). Suppose 3*u - z = 2*u. Is u composite?
True
Let h(x) = 2*x. Let q be h(-2). Suppose o - 2*m = 9, -2*m - 8 = 2*o - 4*o. Is -1*((o - q) + -56) a prime number?
True
Let u be (-556)/3*(-4 - 91/14). Let z = u + -1212. Is z a composite number?
True
Let t(z) = z**3 - 6*z + 23417. Is t(0) a composite number?
False
Let b(v) = 3*v**2 - 19*v + 85. Is b(27) composite?
False
Let r(j) = -28*j - j + 18*j + 18 - 68*j. Is r(-17) a prime number?
True
Suppose 2*c - 2 - 2 = 0. Let o(g) = -4*g**2 - c*g + g**3 + 5 - 4 - 2*g**3. Is o(-6) prime?
False
Let n(a) = a**3 + 14*a**2 + a. Let r be n(-6). Let w = r - -631. Is w prime?
False
Let g(v) = 5*v + 14. Let o(w) = -9*w - 27. Let x(n) = 5*g(n) + 2*o(n). Let a = 27 + -18. Is x(a) a prime number?
True
Suppose -3*y - y = -4*i, 0 = -4*i + 3*y + 1. Let m(x) = 11*x**2 + 2*x + 1. Let f be m(-1). Is ((-298)/f)/(i/(-5)) prime?
True
Let p = 475 - 209. Let k = p - 139. Is k a composite number?
False
Is (-6)/((-12)/(-94))*(-745)/5 prime?
False
Let l = 196 + 681. Suppose 2*u - 3*d + 0*d = l, 3*u = 2*d + 1313. Is u a prime number?
False
Let u(h) = -103*h - 151. Is u(-18) a prime number?
False
Let w = -226 + 116. Let t be (w/(-40))/((-1)/(-8)). Suppose 62 = 4*q + t. Is q a composite number?
True
Let u be -3 + 4 + 698 + -2. Let i = u + -176. Let h = i - 312. Is h a prime number?
False
Suppose 0*h + h - 3 = -b, 21 = 5*h + 3*b. Let p = 12 + h. Let m = p + 20. Is m a prime number?
False
Let w be 3/((4/(-1))/(-12788)). Suppose 0 = -3*u + w - 37755. Is u/(-16) - (-2)/8 a composite number?
False
Suppose -r = 3*p - 12509, 4*r - 57798 = p - 7827. Is r a composite number?
True
Let v(h) = -122*h + 4. Let s be v(-6). Suppose -2*t + 378 + s = 0. Is t composite?
False
Let x = -755 - -1192. Let j = 146 - x. Is -2*2/4*j prime?
False
Let i = 1198 - -2485. Is i a composite number?
True
Let k(l) be the third derivative of 53*l**5/60 - l**4/8 - 17*l**3/6 + 7*l**2. Let v be k(5). Is v*((-1)/(-1))/3 prime?
True
Let j(z) = 6*z**2 - 5*z - 8. Let m(n) = 2*n**2 - 2*n - 3. Let i(v) = 4*j(v) - 11*m(v). Suppose -5*o = 4*r - 0*r - 23, -4*r = o - 11. Is i(o) a prime number?
False
Suppose 2*j - 27 + 17 = 0. Suppose j*m - 1337 - 128 = 0. Is m prime?
True
Let k = 13921 + -22993. Is k/(-5) + 68/(-20) + 3 prime?
False
Suppose 0 = -21*m + 132030 + 18687. Is m a prime number?
True
Let y = -36 + 33. Let u be (-7)/3*-3 + y. Suppose 4*z + z + 147 = p, -365 = -3*p - u*z. Is p prime?
True
Let d = 266 - 260. Suppose 5*k + 4440 = -0*k. Is (-4)/d*k/16 composite?
False
Let b(k) = 3 + 4 - 16*k + k**3 + 14*k**2 - 9 - 10. Let g be b(-15). Suppose -2043 = -3*x + 3*a, g*x - 2*a + a - 2051 = 0. Is x a prime number?
False
Suppose 2*y + y = -192. Let d = y - -111. Is d a prime number?
True
Let k be -3*(-6 - -4)/2. Is (4 + -881)*(2 - k) a composite number?
False
Is (6147/(-15))/((-3)/15) composite?
True
Suppose v + 5 = 0, v = 2*k - 2*v + 1. Is ((-6)/9)/(k/5748) prime?
True
Is (-4)/20 + -3 + 3471/5 a prime number?
True
Let j(d) be the first derivative of -3*d**4/4 + 4*d**3/3 + 3*d**2/2 + 11*d - 14. Is j(-5) a prime number?
False
Let h(w) = 1 - 18 + 22*w - 1 + 3. Is h(10) a prime number?
False
Suppose 119*o = 139*o - 122780. Is o a prime number?
False
Suppose t - 6 = 8. Let x(n) = 0*n - t*n - 8*n - 9*n. Is x(-5) a prime number?
False
Suppose 56331 = -10*z + 19*z. Is z a composite number?
True
Is (0 - (0 - 6)) + (-789875)/(-25) a composite number?
False
Suppose -5*x + 4*m + 13 = 0, 0*x - m = -2*x + 4. Is x/(((-3)/887)/(-3)) prime?
True
Suppose 7*k + 23516 = 75225. Is k a prime number?
False
Let d(n) = 1728*n**3 + 1. Suppose -l = -y - 5*l - 13, 2*y + 11 = -3*l. Let c be d(y). Let a = 3930 + c. Is a a composite number?
False
Let r(m) = 35*m**2 + 8*m + 214. Is r(-19) a prime number?
True
Let y = -7895 - -15759. Suppose 4*x = -4*x + y. Is x a composite number?
False
Let m(v) = -v**2. Let n be m(0). Suppose n = 3*w - 8*w - 6465. Let j = w + 2332. Is j a prime number?
True
Suppose -4*n = -2*c + 68 + 2050, 3*c + 3*n = 3132. Is c a composite number?
False
Suppose 54*s - 18608 = 38*s. Is s a composite number?
False
Suppose 2*r - 14981 = -2*k - k, 0 = 2*k + 4*r - 9974. Is k a composite number?
True
Suppose -2*y + 3*f + f = -8, 12 = -4*f. Is 1/(y + (-8396)/(-4196)) composite?
False
Let l(v) = 2*v**2 - 2*v - 1. Let u be l(2). Suppose 3 = 2*m - u*m. Is 376 - (-4 + m/(-3)) a composite number?
False
Suppose -5*x + 5*z + 3515 = 0, 1410 = 5*x - 3*x - z. Is x a composite number?
True
Let r(m) = -m**3 - 13*m**2 + m - 4. Let a be r(-13). Let i(d) = 6*d**2 - 9*d + 4. Let y be i(6). Let o = a + y. Is o a composite number?
False
Let g = -5781 + 8876. Is g a composite number?
True
Suppose 2*q - 5 = 3. Suppose 16 = 4*l + q. Is 379/l + 12/18 a prime number?
True
Let t(i) = 27*i**2 - 8*i + 11. Suppose -5*n = -5*v, -4*n + 19 - 3 = 0. Is t(v) a prime number?
False
Let v(o) = -2*o**2 - 13*o - 3. Let p be v(-6). Is -1126*p*2/(-12) a prime number?
True
Let w(k) = 58*k**2 - 2*k + 3. Let q be w(-6). Suppose q = 3*g - x, -g - 3*x - 183 = -874. Suppose -g + 1775 = 5*f. Is f a composite number?
True
Is (-84)/70 - (0 - (-445773)/(-15)) a composite number?
False
Let i be -13 + 13 - (7 + -1). Is 356/i*21/(-14) a prime number?
True
Let h be (11 - -2)*1*1. Let u = 126 + h. Is u a composite number?
False
Let d(f) = 81*f + 1. Let m be d(1). Let r = -15 + m. Is r composite?
False
Suppose 2*n - 815 = l, 0 = -5*n - 2*l + 1158 + 884. Let g = n - -7. Is g a composite number?
True
Suppose 4*n = 0, -2*n + 38 = 5*j + 163. Is 5/j + 792/10 a prime number?
True
Suppose 2*o + 191 = -j - 0*o, -3*o + 201 = -j. Let s = -64 - j. Is s a prime number?
True
Let i = 28 + 101. Suppose -165 = -2*v + 3*h, v + h - 114 = -39. Let d = i - v. Is d a prime number?
False
Let q(z) = 225*z**2 + 7*z - 19. Is q(8) a prime number?
True
Suppose 3*x + z = -0*x - 4, x = 5*z - 28. Is ((-9)/8 - x/24)*-263 prime?
True
Let h be (-6 + 5)*(-28)/2. Is 2320/h - 4/(-14) prime?
False
Let n(z) = 4*z - 4. Let o be n(2). Suppose f - 5*w = 23 + 104, -o*f = -w - 508. Is f a prime number?
True
Suppose -461 = -6*g + 1441. Is g prime?
True
Suppose 0 = m + m - 1780. Suppose 5*u + 5*b = m, b = -b. Suppose u + 623 = 3*q. Is q prime?
False
Is (20 - 19)*(3823 - (4 + -2)) composite?
False
Suppose 10*f + 7336 = 11*f + 3*s, -f + 7312 = -5*s. Is f composite?
True
Let z be 3/4 + 351/12. Let t(i) = -10*i + 2 - z*i + 4. Is t(-5) a composite number?
True
Let b(g) = 9171*g + 98. Is b(3) a prime number?
True
Let o(z) = z**3 + 20*z**2 - 27*z - 95. Is o(-16) a composite number?
False
Suppose 6*u + 7 = -11. Is ((-1187)/u)/(8/48) composite?
True
Let i(v) = 5*v - 1. Let x be i(1). Suppose 281 = x*u - 10243. Is u prime?
False
Suppose 897 = 19*u - 8261. Is u a composite number?
True
Let q = 40 - 10. Suppose -12*f + q = -7*f. Suppose -7*w = -f*w - 211. Is w a prime number?
True
Suppose 0 = -5*d - 7049 + 31669. Suppose -m + v = -1643, -3*m + 0*v = 2*v - d. Is m a prime number?
False
Let j = 1992 - -106. Suppose -5*s + 5210 = 3*z, z + 3*z = -2*s + j. Is s composite?
False
Suppose -5*o = -i + 435, -4*o - 261 = -o - 3*i. Let j be 6/(-27) - o/27. Suppose -65 = | {
"pile_set_name": "DM Mathematics"
} |
the first derivative of -5*d**4/2 - 20*d + 29. What is the derivative of v(c) wrt c?
-30*c**2
Let h be (-1)/(-3) - (-10)/6. Suppose -h = -4*g + 3*g. Differentiate 5 - 4 - 3*q**2 + 2*q**g with respect to q.
-2*q
Let d(u) = u + 11. Let f be d(-7). Differentiate 3*n**2 - 2 - 2*n**2 + f wrt n.
2*n
Let t(y) = -y**2 - y + 1. Let z(g) = 6*g**2 + 5*g - 9. Let j(u) = -5*t(u) - z(u). What is the derivative of j(c) wrt c?
-2*c
Find the third derivative of q**2 - 4*q**2 - 8*q**4 - 4*q**2 + 12*q**4 wrt q.
96*q
Let s(i) be the second derivative of i**3/6 - 3*i**2/2 - 4*i. Let o be s(3). Find the second derivative of 2*z**4 - 6*z**4 + o*z + 3*z**4 - 3*z wrt z.
-12*z**2
Let s(j) be the second derivative of -7*j**4/24 - j**3 + 4*j**2 + 3*j. Let h(o) be the first derivative of s(o). Differentiate h(k) with respect to k.
-7
Let m(f) be the first derivative of -5*f**4/4 + f**2/2 + 4. What is the second derivative of m(y) wrt y?
-30*y
Let b = 15 + -8. Find the third derivative of -k**6 + 2*k**6 - b*k**4 - k**2 + 7*k**4 wrt k.
120*k**3
Let v be 11/5 - (-8)/(-40). What is the derivative of 3*n + 11 - 3*n + n**4 - v wrt n?
4*n**3
Let u(t) = -4*t**3 - 3*t**2 - 3. Let h = 18 + -25. Let r(o) = -8*o**3 - 7*o**2 - 6. Let w(v) = h*u(v) + 3*r(v). What is the first derivative of w(f) wrt f?
12*f**2
Let p(w) be the second derivative of 3*w**8/56 - 5*w**4/12 - 2*w. What is the third derivative of p(b) wrt b?
360*b**3
Let o(c) = -19*c**6 - 2*c**3 - 7*c**2 - 2. Let p(n) = n**6 + n**3 + n**2 + 1. Let a(f) = o(f) + 2*p(f). What is the third derivative of a(l) wrt l?
-2040*l**3
Suppose -2*x - 5 = -3*k, 3*x = 5*k - 3 - 5. Let t be (-4 - (-2 + 0))/x. What is the derivative of 2*a**2 - 2*a**2 + a**3 - t wrt a?
3*a**2
Let m(t) = -t. Let c(p) = -9*p**4 + 2*p - 8. Let h(o) = -c(o) - 2*m(o). What is the derivative of h(y) wrt y?
36*y**3
Let f(d) = 9 + 11 - 5 - 9*d**2. Let t(o) = -2*o**2 + 3. Let c(v) = 5*f(v) - 24*t(v). Find the first derivative of c(s) wrt s.
6*s
Let z = -6 + 6. Let t = 2 - z. What is the second derivative of 4*i - t*i**3 + i**3 - 2*i - 2*i**3 wrt i?
-18*i
Let l(v) be the third derivative of v**5/20 - 5*v**3/3 - 7*v**2. Differentiate l(f) with respect to f.
6*f
Let b(n) be the third derivative of 1/2*n**3 + 0*n + 0*n**4 - n**2 + 0 - 1/30*n**5. What is the derivative of b(l) wrt l?
-4*l
Find the first derivative of -2*l + 7 + 2*l + 6*l**4 + 15*l**4 wrt l.
84*l**3
Suppose 0 = -3*y + 23 + 19. Let c be (-4)/y + 16/7. What is the second derivative of c*t - t**5 + t - t wrt t?
-20*t**3
Suppose 0*w - 3*w + 9 = 0. Find the third derivative of j**2 + 8*j**3 - j**3 + j**2 - w*j**3 wrt j.
24
Find the third derivative of v**4 + 7*v**2 - 3*v**4 + 19*v**4 wrt v.
408*v
Let m(x) = -2*x - 6. Let z be m(-6). Find the third derivative of -4*v**6 - v**2 - z*v + 6*v wrt v.
-480*v**3
Let p(n) = -n**2 - 11*n + 2. Let l be p(-8). What is the third derivative of k**5 + l + 2*k**2 - 26 wrt k?
60*k**2
Let z(l) = -l - 4. Let y be z(-7). What is the third derivative of y*u - 3*u**2 + 3*u**3 - 3*u + 0*u**2 wrt u?
18
Let o(f) be the third derivative of -f**9/15120 + f**5/24 - f**4/8 - 2*f**2. Let x(u) be the second derivative of o(u). What is the derivative of x(b) wrt b?
-4*b**3
Let l be -1 + -2 + -1 - -4. Let r(x) be the first derivative of 1 - 1/3*x**3 + x**2 + l*x. What is the second derivative of r(g) wrt g?
-2
Let g(v) be the second derivative of 0*v**3 + 0*v**2 - 1/20*v**5 - 1/6*v**4 + 2*v + 0. Find the third derivative of g(s) wrt s.
-6
Let h(q) be the second derivative of -q**8/84 - q**5/60 - 3*q**2/2 - 4*q. Let x(s) be the first derivative of h(s). Find the third derivative of x(a) wrt a.
-240*a**2
Let g(p) = 20*p**4 - 3*p**3 + 3*p**2 + 6*p - 3. Let a(r) = r**3 - r**2 - r + 1. Let q(h) = 3*a(h) + g(h). Find the second derivative of q(i) wrt i.
240*i**2
Let t(v) be the first derivative of 0*v**5 - 4*v**2 + 1 - v**5 - 5 + 2*v**2. Find the second derivative of t(l) wrt l.
-60*l**2
Let g(q) be the first derivative of q**2 + 2/3*q**3 - 1 + 0*q. What is the second derivative of g(c) wrt c?
4
Let n(r) = r**4 + r**3 - r**2 + r. Let w(d) = 5*d**4 + 4*d**3 - 4*d**2 + 12*d. Let i(x) = -4*n(x) + w(x). Find the second derivative of i(q) wrt q.
12*q**2
What is the derivative of 0*y - 465 + 411 + 57*y wrt y?
57
What is the second derivative of 32*c**5 - 16*c + 994 - 994 wrt c?
640*c**3
Let c(j) be the second derivative of j**3 - 11*j**2/2 + 8*j. What is the derivative of c(t) wrt t?
6
Let c(d) be the third derivative of -3*d**2 + 0*d + 0 + 0*d**5 + 0*d**4 + 1/24*d**6 + 1/6*d**3. What is the first derivative of c(y) wrt y?
15*y**2
Let r be 96/44 - (-2)/(-11). Let s be (1/(-2))/(r/(-4)). Find the second derivative of -2*p**4 - 4*p + 4 + s - 5 wrt p.
-24*p**2
Suppose 0*t + 3*t = 15. Find the second derivative of f**t + 13*f**2 - f + f**5 - 13*f**2 wrt f.
40*f**3
Let u(o) = -o**3 - 6*o**2 + 7*o + 3. Suppose -8 = 2*s + 6. Let r be u(s). Find the third derivative of -h**2 + 0*h**2 + 3*h - 3*h + 2*h**r wrt h.
12
What is the second derivative of -6*p - 27*p - 31*p**5 + 5*p wrt p?
-620*p**3
Let f(k) be the first derivative of k**8/420 - k**5/60 + 4*k**3/3 + 5. Let w(o) be the third derivative of f(o). What is the second derivative of w(u) wrt u?
48*u**2
Let u(i) be the second derivative of 0 + 1/3*i**6 + 0*i**2 + 0*i**5 + 0*i**3 + 3*i - 7/12*i**4. Find the third derivative of u(n) wrt n.
240*n
Let x(r) be the third derivative of r**9/42 + 23*r**5/60 - 16*r**2. What is the third derivative of x(d) wrt d?
1440*d**3
Let b be (6/(-12))/((-2)/(-20)). Let r = b - -7. What is the third derivative of 2*j**2 + 2*j**4 - 3*j**2 + 3*j**r wrt j?
48*j
Let w(u) = 6*u**4 - 3*u**4 - 5*u**3 - 1 + 6*u - u**3. Let v(y) = 15*y**3 - 6*y**3 - 10*y**3 + y. Let s(x) = -6*v(x) + w(x). Differentiate s(z) wrt z.
12*z**3
Let o(x) = 17*x**6 - 3*x**5 + 41*x**2. Let j(y) = -50*y**6 + 8*y**5 - 124*y**2. Let n(l) = 3*j(l) + 8*o(l). What is the third derivative of n(v) wrt v?
-1680*v**3
Let c be 0 - -2 - 6/1. Let g = -1 - c. Find the third derivative of 3*i**2 - 3*i**2 - 2*i**g - 2*i**2 wrt i.
-12
What is the third derivative of 11*u**5 + 4*u**2 + 7*u**5 - 14*u**2 - 5*u**5 wrt u?
780*u**2
Find the first derivative of 0 + 3553*f**2 - 3547*f**2 + f - 3 wrt f.
12*f + 1
What is the third derivative of 4*m**5 + 11*m**2 - 15*m**5 - 40*m**2 wrt m?
-660*m**2
Find the first derivative of 4*y**2 - 37*y**2 - 13*y**2 - 15 wrt y.
-92*y
Let z(x) be the first derivative of -1/7*x**7 - 1/3*x**3 + 0*x**5 + 0*x + 0*x**6 + 0*x**4 + 0*x**2 - 3. Find the third derivative of z(a) wrt a.
-120*a**3
Suppose -4*b + 7 = -1. Let f = 0 + b. Differentiate -l**3 + l**2 - l**2 + f with respect to l.
-3*l**2
Let r(l) be the second derivative of l**5/4 + l**3/2 + 18*l. What is the second derivative of r(c) wrt c?
30*c
Let z = 10 + -8. Find the second derivative of 0*d**2 + 0*d**z + 2*d - 3*d**2 wrt d.
-6
Let m(w) = 5*w**3 + 15*w + 5. Let k(o) = o**5 - 4*o**3 - 14*o - 4. Let l(s) = -5*k(s) - 4*m(s). What is the second derivative of l(z) wrt z?
-100*z**3
Let m(w) = w**3 + 3*w**2 + 2*w + 2. Let r be m(-2). Find the third derivative of -2*s**2 + 0*s**r + 19*s**3 - 17*s**3 wrt s.
12
Let n(m) be the first derivative of 10*m**4 - 37*m - 18. Find the first derivative of n(f) wrt f.
120*f**2
Suppose -20 = -g - 4*j, j - 12 = -g - 4. What is the third derivative of -3*k**4 + 3*k**2 - 4*k**5 + 3*k**g wrt k?
-240*k**2
Let c(g) = -7*g**4 + 3*g**2 - 3*g + 7. Let d(j) = -7*j**4 + 4*j**2 - 4*j + 8. Let k(b) = 4*c(b) - 3*d(b). What is the derivative of k(w) wrt w?
-28*w**3
Let g = 15 + -10. Suppose -9 = -g*b + 1. What is the second derivative of 4*t + b*t**3 + 3*t - 5*t wrt t?
12*t
Let m(w) = -26*w**4 - 5*w**3 - 27*w + 5. Let c(t) = -13*t**4 - 3*t**3 - 13*t + 3. Let f(h) = 5*c(h) - 3*m(h). What is the second derivative of f(q) wrt q?
156*q**2
Suppose -2*m + 10 = 3*m. Suppose 0*s - c - 6 = -2*s, 24 = 5*s + m*c. Find the third derivative of -2*h**s + 3*h + h**2 - 3*h wrt h.
-48*h
What is the second derivative of 14*r**4 + 2 - 2 - 7*r**4 + r wrt r?
84*r**2
Let v(o) be the first derivative of 9*o**4/4 - 2*o**3 - 25. Find the third derivative of v(m) wrt m.
54
What is the third derivative of 2*n**2 - n**2 - 8*n**6 + n**6 wrt n?
-840*n**3
Suppose k = -k - 5*f + 24, 3*k = -5*f + 26. Find the second de | {
"pile_set_name": "DM Mathematics"
} |
n. What is the tens digit of b?
1
Let s be (-2)/17 - (-108)/51. Suppose 0*p = 5*p - s*r - 540, p - 108 = -3*r. What is the tens digit of p?
0
Let v = 16 + -13. Suppose v*k - 18 = 6. Let n = -7 + k. What is the units digit of n?
1
Suppose 0 = -8*b + 272 + 1632. What is the tens digit of b?
3
Let g = 34 - 24. Suppose -g*x + 1248 = -6*x. What is the units digit of x?
2
Suppose -5*z = 2*a + 56, -z + 3*a = 2*a + 7. Let y(m) = 2*m**2 + 2*m - 20. What is the tens digit of y(z)?
6
Let o(r) = 5*r**2 + 6*r - 16. What is the hundreds digit of o(6)?
2
Suppose 7*l - 754 - 2046 = 0. Suppose 5*s - 382 = 3*x, -124 = 4*s + 5*x - l. What is the tens digit of s?
7
Let i be (-6)/8*(3 - -1) - -3. Let o be ((-12)/(-10))/((-6)/(-20)). Suppose 0*f + 2*f = 2*h - 112, i = o*h - f - 212. What is the tens digit of h?
5
Let c be ((-15)/6 - -3)*10. Suppose o - 2*w = 95, -388 = -4*o + c*w - w. What is the tens digit of o?
9
Let h(o) = 5*o**2 - 13*o + 32. What is the units digit of h(6)?
4
Let d(u) = 28*u + 53. Let v be d(16). Suppose 2*a - 5*a + v = 0. What is the hundreds digit of a?
1
Let z(c) = c**3 + 60*c**2 + 67*c + 53. What is the thousands digit of z(-58)?
2
Suppose -2*d - 53 = -4*d + 5*x, -3*d + 22 = 4*x. Suppose d*n - 15*n = -175. What is the hundreds digit of n?
1
Let q(f) = -10*f - 5. Let n be q(-5). Let u(a) = -2*a**2 + 4*a**2 - n*a**3 - a**2 - 3 + a + 4. What is the units digit of u(-1)?
6
What is the units digit of 11 - 8 - (-5 - (-2 - -1))?
7
Let h(b) = b**2 + 10*b + 26. Let y = -4 + -7. What is the units digit of h(y)?
7
Let n = 109 - 104. Suppose -12*t + 2822 = n*t. What is the hundreds digit of t?
1
What is the tens digit of 3 + 2 + 1 + (-2 - -774)?
7
Let d = -5238 - -8973. Suppose 9*f + d = 24*f. What is the tens digit of f?
4
Let t be (-4002)/(-12) - (-2)/4. Suppose -t = 4*l + m, l + 2*m + 87 = -0*l. Let f = 150 + l. What is the units digit of f?
7
Suppose 3*c + 3*h - 19 = h, -3*h = -5*c + 19. Let n(q) = -q**2 + 5*q + 12. What is the units digit of n(c)?
2
Let k(y) = 25*y**2 + 8*y - 16. What is the tens digit of k(-6)?
3
Let n(l) = -258*l**3 + 2*l**2 + 2*l + 1. Let z be n(-1). Suppose 0 = 2*o + w - 102 - 45, -5*w = -4*o + z. What is the tens digit of o?
7
Let v(y) = -y**2 + 3*y + 13. Let r be ((-3)/(-6))/(6/(-72)). Let t be v(r). Let z = -17 - t. What is the units digit of z?
4
Suppose -z = -5*q + 57, -z = 3*q + 2*q + 87. Let r = 125 + z. What is the tens digit of r?
5
Let o(w) = -w**3 + 9*w**2 + 2*w + 5. Suppose 27 = 29*j - 26*j. What is the units digit of o(j)?
3
Let k(u) = 3 + 2*u**2 - 5 + 2*u + 0 + 5. What is the tens digit of k(-6)?
6
Let p(x) = -113*x + 7. Let k be p(-6). Suppose 0 = -5*w + 5*h + k, 0 = 2*h + h - 12. What is the tens digit of w?
4
What is the tens digit of (-184063)/(-203) - (-1 + (-5)/(-7))?
0
Let k(v) = -5*v - 10. Let g be k(7). Suppose 0 = -5*i - 2*z - 400, -i - z = i + 160. Let r = g - i. What is the tens digit of r?
3
Suppose -q - 1 = -6. Let d be (12/q)/((-20)/(-150)). What is the units digit of (0/1)/2 + d?
8
Suppose -8419 = -5*a + l, -5670 - 2751 = -5*a - l. What is the units digit of -3 + a/24 + 1/(-6)?
7
What is the units digit of 14506/6 + (12 - 123/9)?
6
What is the tens digit of (-5*2/(-10))/(4/504)?
2
Let j = -636 - -1004. What is the hundreds digit of j?
3
Suppose 6 = 5*f - 3*f, -18 = -5*a - f. What is the hundreds digit of 262/a*(2 + (-4)/8)?
1
Let w(l) = 3*l**2 - 3*l - 40. What is the tens digit of w(-11)?
5
Suppose m = i - 20, -14 - 86 = -5*i + m. Let j = i - 6. Let l = j + -5. What is the units digit of l?
9
Let v be 22/(0 - (-4)/26). Suppose 6*r = -0*r - 30. What is the units digit of 18/45 - v/r?
9
Let q(d) be the third derivative of -d**6/30 + d**5/15 + d**4/12 - d**3/6 - 9*d**2. What is the units digit of q(-2)?
3
Let m = -24 + 24. Suppose m = 8*v - v - 1575. What is the hundreds digit of v?
2
Let y(t) = -18*t**2 + 1. Let k be y(-1). Let m = k - -17. Suppose m = v - 3*v + 66. What is the units digit of v?
3
Let q(o) = o**2 + 3*o - 8. Suppose 0 = -5*p + 18 + 27. Suppose 5*d - p = -34. What is the units digit of q(d)?
2
Let g = 7 + -1. Suppose g*o - 40 = o. What is the units digit of o?
8
Let q(g) = 3*g**2 + g - 2. Let x be q(-2). Suppose 4*n + k - 3*k = 22, -x = 4*n + 4*k. Suppose 2*p + n = 3*p. What is the units digit of p?
3
Let i = 919 + 167. What is the units digit of i?
6
Let v(d) = -d**2 + 11*d - 14. Let z(q) = 2*q - 1. Let u be z(5). Let h be v(u). Suppose -3*o - r = -207, -5*o - r + h*r + 331 = 0. What is the units digit of o?
8
Suppose -3*d + 5*y + 28 = 0, 56 = 4*d - y - y. Suppose -d*k + 14*k = -38. What is the tens digit of k?
1
Suppose 2*p - 980 = 4*p. Let i = -318 - p. Suppose -5*b - 2*y - y = -i, 5*b = y + 176. What is the units digit of b?
5
Let f(u) = u - 6. Let n be f(6). Suppose 5*l + 2*p - 10 = n, -3*p + p - 2 = -l. Suppose 5*s + 0*o - l*o = 199, 3*s - 4*o = 125. What is the units digit of s?
9
Let h = -1190 + 714. Let o = -337 - h. What is the units digit of o?
9
Suppose 4*w = -0*w + 1628. What is the hundreds digit of w?
4
Let f(j) be the second derivative of -j**3/3 + j**2 + 15*j. Let o be f(2). Let h = 37 - o. What is the tens digit of h?
3
Let a(m) = -m**2 + 1 - 4*m**2 + m - 5*m - 3 - 2*m**3. What is the tens digit of a(-4)?
6
Suppose -8*o = 27 + 165. Let u = 26 + o. Suppose u*g - 34 = 40. What is the tens digit of g?
3
Let j be 2*-1 + (-96)/12. Let m(f) = -7*f - 29. What is the units digit of m(j)?
1
Let i be 108 - (0/(1 - -1))/(-1). Suppose 2*h - z = -2*z + i, -3*z - 40 = -h. What is the units digit of h?
2
Let d = 24 - 21. Suppose d*j - j = 0. Suppose j = 2*r - 41 - 27. What is the units digit of r?
4
Let l(y) = 35*y**3 + 12*y**2 - 12*y + 10. What is the units digit of l(4)?
4
Let i(g) = -g**2. Let j(v) = -8*v**2 - v - 1. Let p(y) = 10*i(y) - 2*j(y). What is the tens digit of p(-4)?
9
Suppose -18*j + 5489 = -7*j. What is the hundreds digit of j?
4
Let u be (2/(-5))/((-7)/(-70)). Let y = u - -2. What is the units digit of (49/(-28))/(y/8)?
7
Suppose 2*t - 3*t = -375. Let p = -257 + t. What is the tens digit of p?
1
Let q be (-8)/6*(0 + 2 + 1). What is the units digit of q/((-13)/(-189) + 2/(-14))?
4
Let k = 56 - -67. What is the hundreds digit of k?
1
Let o = -745 - -1134. What is the units digit of o?
9
Let x = 35 - 31. Suppose -x*w = -337 + 1. Suppose -w = -6*p + 186. What is the units digit of p?
5
Let h(q) = q**2 + 8*q + 8. Suppose -9 = -w - 10. Let k be 0 - (3/w - -11). What is the units digit of h(k)?
8
Let n be ((-2)/5)/((-8)/5560). Suppose -7*i + n = -198. What is the tens digit of i?
6
Let t be (-1 - (-22)/10)*-5. Let b be t/(-18)*30/(-2). Let m = b + 15. What is the units digit of m?
0
Let a = -11 + 14. Suppose 0 = -4*r - 4*h + 120, -3*r + 36 = -r - 4*h. What is the tens digit of r*a*1/6?
1
Let o(u) be the first derivative of 4*u**3/3 - 5*u**2/2 + 24*u + 11. What is the units digit of o(-7)?
5
Let z(u) = u + 59. Suppose 0 = 5*j + 163 - 43. What is the units digit of z(j)?
5
Let p = 1203 + -465. What is the tens digit of p?
3
Let u(y) = y**2 + 5. Let z be u(-8). Suppose 5*l - z - 131 = 0. What is the tens digit of l?
4
Let i be 4*(-3)/(-12)*-11. Let u be (-2)/i + 172/22. Suppose -c = h + c - u, -3*c = 4*h - 17. What is the units digit of h?
2
Suppose 0 = -8*f + f + 182. What is the units digit of 698/f + (-24)/(-156)?
7
Let r be ((-2)/((-10)/(-15)))/3. What is the units digit of 1*r*(-13 + -8)?
1
Suppose -3*t + s + 17 = 0, -4*t + 13 = -5*s - 17. Suppose 2*o - 26 = 14. Suppose -75 + o = -t*z. What is the units digit of z?
1
Let d(n) = -2*n - 2*n + 3 + 7*n**2 + 3 - 2*n. What is the units digit of d(4)?
4
Suppose 11*i + 200 = -185. Let s = i + 165. What is the units digit of s?
0
Let t(s) = 2*s**3 - s**2 - 4*s + 3. Let y be t(2). Let j(w) = w - 1. Let u be j(y). Suppose -3*k + 51 = 3*b - 87, 0 = 2*b + u. What is the units digit of k?
9
Suppose -553 = -9*b + 10535. What is the units digit of b?
2
Let a = 678 - 75. What is the hundreds digit of a?
6
Let x(g) = -g**3 + 7*g - 11. What is the units digit of x(-4)?
5
Suppose 7*k - 477 = -2262. Let x = k - -452. What is the hundreds digit of x?
1
Suppose 3*t - 9 = -2*g + 11, -5*g + 4*t = -50. Let a = 13 + g. What is the units digit of a?
3
What is the units digit of ((-5)/(-15))/(3725/930 - 4)?
2
Suppose -5*x + 459 = 3*h, 3*x + 1 | {
"pile_set_name": "DM Mathematics"
} |
tive of g(n) wrt n?
-18*n**2
Let q be 4/2*(-12)/(-8). Find the first derivative of 6 - 3 - 2*b**q - b**3 wrt b.
-9*b**2
Suppose -4 + 10 = 3*l. Find the third derivative of 7*o**6 + 2*o**l - 9*o**6 + 0*o**2 wrt o.
-240*o**3
Let x(i) = 3*i**5 + 8*i**2 - 3*i - 3. Let v(d) = -9*d**5 - 24*d**2 + 8*d + 8. Let r(q) = -3*v(q) - 8*x(q). What is the third derivative of r(l) wrt l?
180*l**2
Let o(p) be the second derivative of 9*p**5/20 - 7*p**4/12 - 6*p. What is the third derivative of o(f) wrt f?
54
Let q(b) be the second derivative of b**7/21 - b**3/2 + 3*b**2/2 - b + 2. Find the second derivative of q(s) wrt s.
40*s**3
Let q(k) be the third derivative of -k**7/35 + k**3/2 + 5*k**2. What is the first derivative of q(c) wrt c?
-24*c**3
Let r(l) = -l**3 - 6*l**2 + 7*l. Let g(b) = 6*b**2 - 6*b. Let p(s) = 7*g(s) + 6*r(s). What is the third derivative of p(n) wrt n?
-36
Let o(s) be the third derivative of -2*s**2 + 0*s**4 + 0*s + 0 + 1/60*s**5 + 0*s**3 + 0*s**6 + 1/210*s**7. What is the third derivative of o(k) wrt k?
24*k
Suppose 5*m + 0 = 5. Differentiate j + 2 - m - 7 wrt j.
1
Let p(q) = -q - 16. Let j be p(-12). Let i(l) = 4*l + 3. Let t(b) = -1. Let h(f) = j*t(f) + i(f). Find the first derivative of h(o) wrt o.
4
Let h(n) be the third derivative of -n**5/15 - 2*n**3/3 - 4*n**2. What is the first derivative of h(i) wrt i?
-8*i
Let n(v) be the first derivative of -3*v**6 + 26*v**3/3 - 35. Find the third derivative of n(f) wrt f.
-1080*f**2
Let j(w) be the first derivative of 5/2*w**2 - 6*w - 2. What is the first derivative of j(f) wrt f?
5
Let w(b) be the first derivative of -2*b**6/3 - b**3 - 10. What is the third derivative of w(c) wrt c?
-240*c**2
Let y(x) = -16*x**3 - 14*x**2. Let m(k) = -k**2. Let l(i) = 2*m(i) + y(i). What is the third derivative of l(d) wrt d?
-96
Let q be (-2)/4*(-3 - -5). Let r be ((-2)/(-4))/(q/(-2)). Differentiate 0 + r + v - 3 with respect to v.
1
What is the third derivative of 925*c**4 + 7*c**5 + 2*c**2 - 925*c**4 wrt c?
420*c**2
Suppose 2*o = -2*r + 16, 2*o + 0 - 31 = -5*r. Find the second derivative of -2*z + 3*z**3 + 7*z - 2*z**o wrt z.
6*z
Let d(y) be the third derivative of -y**7/168 - y**6/90 + 5*y**3/6 - 7*y**2. Let j(x) be the first derivative of d(x). Find the third derivative of j(n) wrt n.
-30
Let o(z) = 26*z**2 + 41. Let b(y) = 9*y**2 + 14. Let a(f) = -17*b(f) + 6*o(f). Find the first derivative of a(g) wrt g.
6*g
Let v(p) = -30*p + 12. Let a(i) = 10*i - 4. Let r(t) = 17*a(t) + 6*v(t). Differentiate r(m) wrt m.
-10
Suppose 0 = 3*z - 13 + 1. Suppose z*l - 12 = -2*o, -1 = o - l + 2. Find the second derivative of -f + 2*f**5 - f**5 + o*f wrt f.
20*f**3
Let c(h) = -4*h**4 + 3*h**3 + 3*h**2 - 2. Let y(o) = o**3 + o**2 - 1. Let f(s) = -2*c(s) + 6*y(s). Differentiate f(x) with respect to x.
32*x**3
Let x = -8 - -12. What is the third derivative of 5*n**6 - x*n**2 - 7*n**2 + 0*n**6 wrt n?
600*n**3
Suppose 0 = 2*n + 3*f - 17, -3*n = -f - 0 - 9. Let v(w) be the first derivative of 3 - w - 4 - 3 - w**n + 1. What is the derivative of v(b) wrt b?
-12*b**2
What is the first derivative of -2*c**4 + 5*c**4 - 2 + 4*c**4 - 2*c**4 wrt c?
20*c**3
Let i(w) be the second derivative of 1/4*w**4 + 0*w**3 - 3/2*w**2 + 3*w + 0. What is the first derivative of i(q) wrt q?
6*q
Let i = -2 - -1. Let v = i - -5. What is the second derivative of -2*u**v + 3*u - u + 3*u**4 wrt u?
12*u**2
Let z = 4 + -2. Find the first derivative of 1 - 2 + 3*u**2 - 2*u**z wrt u.
2*u
Let h(u) = 8*u**5 + 5*u**4 - 11*u - 5. Let g(f) = 33*f**5 + 21*f**4 - 45*f - 21. Let i(r) = 5*g(r) - 21*h(r). What is the second derivative of i(q) wrt q?
-60*q**3
Suppose -c = -0*c. Let f(g) = g**3 + g**2 - g + 2. Let v be f(c). Find the second derivative of 0*s**v - 3*s + 2*s - s**2 wrt s.
-2
Find the second derivative of 4 - 16*n - 4 + 7*n**4 + 5*n wrt n.
84*n**2
Let f(a) = -a**5 + a**3 - a - 1. Let b(q) = 16*q**5 + 2*q**3 + 22*q - 2. Let v(k) = b(k) - 2*f(k). What is the second derivative of v(x) wrt x?
360*x**3
What is the first derivative of c**2 - 4*c**4 - c**2 + 11 wrt c?
-16*c**3
Let p(a) = a**2. Let l(o) = 9*o**3 + 33*o**2. Let d(u) = -l(u) - 2*p(u). Find the third derivative of d(r) wrt r.
-54
What is the derivative of 0*h + 70 - 11*h - 2*h + 24*h - h**2 wrt h?
-2*h + 11
Let b(l) = l**2 + 4*l - 7. Let m be b(-6). Suppose -5*z = m*i - 68 + 23, 9 = z - 2*i. Find the second derivative of 9 - z - 2*q + q**5 wrt q.
20*q**3
Let d(s) be the second derivative of -7*s**5/20 - 2*s**3 + 7*s. What is the second derivative of d(t) wrt t?
-42*t
Let v be 1/5 - (-118)/10. Suppose v = 2*y + y. Differentiate -3*g + 0*g + y*g - 1 wrt g.
1
What is the second derivative of -2 - 253*v + 274*v + 2 + 33*v**2 wrt v?
66
Let m = 183 - 2744/15. Let w(k) be the second derivative of m*k**6 - 1/6*k**4 + 0*k**3 - 2*k + 0 + 0*k**5 + 0*k**2. Find the third derivative of w(s) wrt s.
48*s
Let p(j) be the second derivative of -2*j**2 - j + 0 + 1/3*j**3. Differentiate p(u) with respect to u.
2
Let i = 8 - 4. Let j = -3 + i. Differentiate -j + 2*m - m - 3*m wrt m.
-2
Let y(f) = -7*f**3 - 2*f**2 + 5*f - 5. Let x(d) = -d**2 + d - 1. Let n(g) = -5*x(g) + y(g). Find the third derivative of n(l) wrt l.
-42
Let g(y) = 28*y**2 + 34*y. Let j(z) = -57*z**2 - 69*z. Let w(a) = -13*g(a) - 6*j(a). Find the second derivative of w(d) wrt d.
-44
Find the third derivative of -b**6 - 2 + 5 - b**5 + 4 - 2*b**2 - 5*b**6 wrt b.
-720*b**3 - 60*b**2
Let a(l) be the second derivative of -l**5/20 - 11*l**2/2 + 34*l. What is the first derivative of a(s) wrt s?
-3*s**2
Let h(k) = 3*k**6 - 2*k**5 + 3*k**2 + 2. Let x(i) = -i**5 - i**2 + 1. Let t(o) = 5*h(o) - 10*x(o). What is the third derivative of t(v) wrt v?
1800*v**3
Let u(x) be the third derivative of 0*x**3 - 1/12*x**5 + 5*x**2 - 1/8*x**4 + 0 + 0*x. What is the second derivative of u(c) wrt c?
-10
Let y(i) = 7*i**5 - 2*i**4 + 2*i**3 - 19*i + 2. Let v(k) = k**4 - k**3 + k - 1. Let j(z) = 2*v(z) + y(z). What is the second derivative of j(a) wrt a?
140*a**3
What is the second derivative of -9*d**3 + 6*d**3 - 2*d**3 + 6*d wrt d?
-30*d
Let x(c) be the third derivative of c**5/20 + 3*c**4/8 + 3*c**2. What is the second derivative of x(r) wrt r?
6
Let s(b) be the first derivative of 2/5*b**5 + 0*b**3 - 1 + 0*b + 0*b**4 + b**2. Find the second derivative of s(x) wrt x.
24*x**2
Let f(y) = -1. Let o(d) be the third derivative of 5*d**4/24 - d**3/2 - 2*d**2. Let z(h) = 2*f(h) - o(h). Differentiate z(l) with respect to l.
-5
Suppose -5*g - 25 = 0, 0*d + 9 = -4*d - 5*g. Let i be (0 - 1) + d + -1. Find the third derivative of 4*n**2 - 6*n**2 - n**3 - 2*n**3 + 3*n**i wrt n.
-18
Let h(c) = c**2 - c. Let j be h(-2). Suppose k - j = -2*k. Find the third derivative of 4*l**5 + l**k - 4*l**5 - 2*l**6 wrt l.
-240*l**3
Let q be (-2)/(8/(-20)) + -1. Find the second derivative of q*o - 100*o**2 + 100*o**2 - 5*o**3 wrt o.
-30*o
Let s(i) be the second derivative of 3*i**8/56 + i**4/6 + 17*i**2/2 + 14*i. Find the third derivative of s(g) wrt g.
360*g**3
What is the third derivative of -28*j**5 - 6*j - 5*j**5 + 6*j + 10*j**2 wrt j?
-1980*j**2
Let t(k) be the first derivative of k**5 - k - 6. What is the derivative of t(y) wrt y?
20*y**3
Let a(g) = g. Let n be a(3). Suppose 0*y = 5*y - 15. Find the third derivative of 4*q**2 - 3*q**2 - n*q**3 + 5*q**y wrt q.
12
Let d(j) be the first derivative of -5*j**3/3 - 6*j - 1. Differentiate d(y) wrt y.
-10*y
Let t(s) be the third derivative of -5*s**9/504 - 2*s**5/15 + 2*s**2. What is the third derivative of t(x) wrt x?
-600*x**3
Let j = 6 - 1. Find the first derivative of -3*v - v + 2*v + j*v - 2 wrt v.
3
Let y be (9/(-4))/(1/(-4)). Suppose -5*c + y = -6. Differentiate -2*m**4 + 2*m**4 + 4 - c + 4*m**4 with respect to m.
16*m**3
Let o(j) = -j**4 + j**3 - j. Let i(u) = 20*u**4 - 2*u**3 + 2*u + 11. Let w(l) = i(l) + 2*o(l). Differentiate w(v) wrt v.
72*v**3
Let d(t) = t**3 - 13*t**2 + 3. Let c be d(13). Suppose c*p = 2*p. What is the second derivative of -2*h**4 + 4*h - h + p*h**4 + 5*h**4 wrt h?
36*h**2
Let d(k) be the first derivative of 3/5*k**5 + 0*k + 0*k**2 + 0*k**4 - k**3 + 3. Find the third derivative of d(v) wrt v.
72*v
Find the third derivative of 659 + 5*n**3 + n - 659 - 3*n**2 wrt n.
30
Suppose -4*c + c = 5*z - 10, 0 = -4*c - 4*z + 8. Suppose -d + 0 + 5 | {
"pile_set_name": "DM Mathematics"
} |
12*v**2 - 4*v**p wrt v.
16
Suppose 0 = -w + 6*w - 10. Find the third derivative of 2*u**5 - 2*u**3 + 2*u**3 - 5*u**5 + 3*u**w wrt u.
-180*u**2
Let v(u) be the first derivative of -3/2*u**2 + 3 + u. Differentiate v(y) with respect to y.
-3
Let l(z) be the second derivative of -17*z**5/20 - 16*z**3/3 + 7*z. Find the second derivative of l(i) wrt i.
-102*i
Let u be 3/12 + (-46)/(-8). What is the third derivative of -m**2 - 5*m**2 + 2*m**2 + m**2 - 6*m**u wrt m?
-720*m**3
Suppose -h = 3*h + 4*v - 24, 3*h - 21 = -4*v. Find the second derivative of n - 2*n**2 - n**2 + h*n - 2*n wrt n.
-6
Let s(n) be the third derivative of -7*n**6/360 - n**4/4 + n**3 - 6*n**2. Let c(o) be the first derivative of s(o). Differentiate c(f) wrt f.
-14*f
What is the second derivative of 6*h**5 + 5*h**5 - 19*h + 14*h wrt h?
220*h**3
Find the second derivative of -16*d + 16 - 16 - d**2 - 11*d**2 wrt d.
-24
Let a be -4*(33/(-12) - -2). Differentiate -1 + 3*z**3 - z**3 - 5*z**a wrt z.
-9*z**2
Let i(c) = -25*c**2 + 3*c - 26. Let f(v) = -25*v**2 + 2*v - 26. Let z(j) = 3*f(j) - 2*i(j). Differentiate z(n) with respect to n.
-50*n
Let g = -2 + 5. Suppose -3*m = -19 + 4. What is the third derivative of 2*y**2 - 6*y**3 + g*y**m + 6*y**3 wrt y?
180*y**2
Let t = -6 + 11. Find the second derivative of 10*q + 8*q - 10*q**4 - t*q - 3*q wrt q.
-120*q**2
Find the second derivative of 5*k**5 + 0*k - 14*k + 6*k wrt k.
100*k**3
Let v be 6/4*10/3. Let a(q) = -q**3 - 3*q**2 - 1. Let g(s) = 0*s**3 + 5*s**2 + 2*s**3 + 2 + 0. Let u(d) = v*a(d) + 3*g(d). Differentiate u(c) with respect to c.
3*c**2
Let h(v) = 11*v - 4*v - 3*v - 3 + v**2. Let t be h(-5). Find the second derivative of f**3 - f - t*f - f - 4*f**3 wrt f.
-18*f
Let m be 2 + 2/(1 - -1). Let k be (-3)/2*(-8)/m. What is the third derivative of -2*j**2 - k + 4 - j**6 wrt j?
-120*j**3
Let h(i) = 56*i**6 - i**5 - i**4 + 44*i**2 - 1. Let a(j) = j**6 + j**5 + j**4 - j**2 + 1. Let y(z) = a(z) + h(z). Find the third derivative of y(d) wrt d.
6840*d**3
Suppose -3*n + 21 + 6 = -3*c, 2*c + 6 = 0. Suppose -q + 6 - 3 = 0. Find the second derivative of -2*k**3 - 4*k**3 + k**q + 3*k + n*k**3 wrt k.
6*k
Let r(u) = 4*u**2 - 3*u - 6. Let a(x) = -4*x**2 + 4*x + 5. Let q(z) = -6*a(z) - 5*r(z). Find the second derivative of q(o) wrt o.
8
Let h(w) be the first derivative of 1/2*w**4 + 0*w**2 + w**3 + 4 + 0*w. Find the third derivative of h(s) wrt s.
12
Let j(c) = -c + 7. Let o(y) = -3*y + 15. Let t(a) = -9*j(a) + 4*o(a). Differentiate t(g) with respect to g.
-3
Let g(p) be the second derivative of -4*p**7/21 + 7*p**4/12 - 9*p. What is the third derivative of g(u) wrt u?
-480*u**2
Let n(l) be the first derivative of l**3/3 + 6*l + 7. What is the derivative of n(c) wrt c?
2*c
Find the second derivative of i - 9*i + 49*i**4 + 16*i wrt i.
588*i**2
Suppose -2*q - 21 = -4*r + 3, 4 = -3*r - 4*q. Find the second derivative of 3*y + 4*y**4 - 2*y - 5*y + y**r wrt y.
60*y**2
Suppose 3*x - x + 7 = 3*k, -13 = 2*x - 5*k. Let t(j) = 2*j**2 + j. Let v(g) = -g + 1. Let l(m) = x*v(m) + t(m). What is the derivative of l(y) wrt y?
4*y
Find the second derivative of -6*l**2 - 7*l - 10*l**2 + 16*l**2 - 7*l**3 wrt l.
-42*l
Let y(j) = 10*j**2 + 3*j - 3. Let g(z) = -59*z**2 - 17*z + 18. Let w(k) = -6*g(k) - 34*y(k). Differentiate w(t) with respect to t.
28*t
Let h(p) be the first derivative of -p**6/15 - p**3/2 - 2*p + 2. Let i(n) be the first derivative of h(n). What is the second derivative of i(g) wrt g?
-24*g**2
Let w(x) be the third derivative of 2*x**5/5 + 11*x**3/3 - 35*x**2. Differentiate w(m) with respect to m.
48*m
Let i(u) = -29*u - 20. Let h(f) = 87*f + 61. Let k(v) = 2*h(v) + 7*i(v). What is the first derivative of k(o) wrt o?
-29
Let r(a) be the second derivative of -4/3*a**3 + 5/12*a**4 + 6*a + 0*a**2 + 0. Find the second derivative of r(s) wrt s.
10
Suppose 0 = n + 2 - 11. Differentiate -3 + n*b**4 + 1 - 4*b**4 - 1 wrt b.
20*b**3
Let p = -66 + 68. Let c(k) be the first derivative of -1/2*k**p - k**3 + 0*k + 1. Find the second derivative of c(z) wrt z.
-6
Let g(j) be the first derivative of -2*j**2 + 4*j - 2. Let h(c) = -4*c + 3. Let r(o) = 4*g(o) - 5*h(o). Differentiate r(p) wrt p.
4
Let u(c) be the second derivative of c**7/840 - c**4/24 + c**3/3 + c. Let r(v) be the second derivative of u(v). Differentiate r(o) with respect to o.
3*o**2
Suppose 5*i = -5*t + t - 28, 4*i + 2*t = -20. Let d be (i/(-6))/((-10)/(-45)). Differentiate 1 - 3 + 3*w + d wrt w.
3
Let q(c) be the second derivative of c**6/40 - c**3/3 + 3*c**2/2 + 7*c. Let i(n) be the first derivative of q(n). Differentiate i(d) wrt d.
9*d**2
Let s(b) = -2*b - 4. Let m(u) = -2*u - 5. Suppose -11 = -4*d - k - 0*k, -5*k - 13 = 3*d. Let w(v) = d*s(v) - 3*m(v). What is the first derivative of w(c) wrt c?
-2
Let v(g) = g**3 - 5*g**2 + 5*g - 2. Let s be v(4). What is the second derivative of p**2 - s*p + p**2 - 7*p wrt p?
4
Let d be (-2)/(-7) - 99/(-21). Differentiate -2 + 2*w - d*w + 3 wrt w.
-3
Let v(d) = -d**2 - 6*d - 3. Let m be v(-5). Find the first derivative of m - 4 + 1 - 3*j**2 + 2 wrt j.
-6*j
Let j(f) be the first derivative of f**4/4 - 2*f**2 + 4*f - 2. Let k(y) be the first derivative of j(y). Differentiate k(d) with respect to d.
6*d
Suppose 5*b = 4*b + 5. Find the second derivative of 6*g - g - g**5 + g**b + 2*g**5 wrt g.
40*g**3
Let g(x) be the third derivative of x**9/168 + x**5/60 + 4*x**2. Find the third derivative of g(j) wrt j.
360*j**3
Let u(j) = 0*j**2 - 1 - 2*j + 3*j**2 - 2. Let k(a) = -a**2 + a + 1. Let p(t) = 2*k(t) + u(t). What is the derivative of p(c) wrt c?
2*c
Let t(r) be the second derivative of r**8/560 - r**6/180 - 2*r**3/3 - r. Let q(z) be the second derivative of t(z). Find the third derivative of q(b) wrt b.
72*b
Let r(y) be the first derivative of 16*y**5/5 + 9*y**2/2 - 15. Find the second derivative of r(x) wrt x.
192*x**2
Find the third derivative of -12*r**2 + 9*r**2 + 13*r**4 - 9*r**2 + 3*r**4 wrt r.
384*r
Let c(y) = -8*y**3 + 30*y**2 - 6*y. Let o(z) = -9*z**3 + 31*z**2 - 5*z. Let u(n) = 5*c(n) - 6*o(n). What is the third derivative of u(f) wrt f?
84
Let r = -4 + 8. What is the second derivative of -12*v**2 + 3*v - r*v + 8*v**2 + 5*v wrt v?
-8
Let q = 10 + -7. Suppose -2*j = q*j. Differentiate l + j + 3 + l wrt l.
2
Suppose 2*b = 4*v - 2*b - 32, 3*b - 11 = -4*v. Suppose -3*g - 10 = 3*d - 2*d, 0 = -v*g - 20. What is the derivative of -1 + t**d - 1 + t**2 wrt t?
4*t
Let z(v) = 4*v + 27. Let l(c) = -3*c - 26. Let w(j) = -5*l(j) - 4*z(j). What is the first derivative of w(h) wrt h?
-1
Let z(h) be the third derivative of 0*h**3 - 1/10*h**5 + 0*h + 0 - 5/24*h**4 + 6*h**2. What is the second derivative of z(s) wrt s?
-12
Let s(k) be the third derivative of -7*k**6/120 + k**4/24 + 8*k**2. Find the second derivative of s(z) wrt z.
-42*z
Let k(h) be the second derivative of h**6/10 + 2*h**3/3 + 4*h. Find the second derivative of k(t) wrt t.
36*t**2
Find the first derivative of -3*t**4 - 3 - 62*t**2 + 62*t**2 wrt t.
-12*t**3
Let o(j) be the second derivative of j**6/120 + j**4/8 - 3*j**2/2 - 3*j. Let s(v) be the first derivative of o(v). Find the second derivative of s(i) wrt i.
6*i
Let c(v) be the third derivative of v**7/420 - v**4/24 - v**3/2 + 2*v**2. Let f(b) be the first derivative of c(b). Differentiate f(l) wrt l.
6*l**2
Find the third derivative of 4*p**4 - 19*p**2 - 106*p - p**4 + 106*p wrt p.
72*p
Let y(s) be the third derivative of 0 + 0*s - 1/24*s**4 - s**2 - 1/20*s**5 + 0*s**3. Find the second derivative of y(l) wrt l.
-6
Let h(a) be the first derivative of -9*a**4 - a**2/2 + 60*a + 35. What is the derivative of h(f) wrt f?
-108*f**2 - 1
What is the third derivative of 2*i**2 + 6*i**5 + 8*i**5 - 23*i**2 wrt i?
840*i**2
Let t(l) = -4*l - 16. Let q(a) be the second derivative of -a**3/6 - 5*a**2/2 + a. Let g(r) = -7*q(r) + 2*t(r). Differentiate g(d) wrt d.
-1
Let b(r) be the third derivative of 5*r**8/336 - 5*r**4/24 - 8*r**2. Find the second derivative of b(o) wrt o.
100*o**3
Let t(r) be the third derivative of r**7/30 - 19*r**4/24 - 4*r**2. Find the second derivative of t(d) wrt d.
84*d**2
What is the second derivative of 6*l - 10 + 10 - 10*l**2 wrt l?
-20
Let o(g) = g**2 - 4*g - 7. Let p(h) = 2*h**2 - 9*h - 13. Let r(c) = -9*o(c) + 4*p(c). Find the first derivative of | {
"pile_set_name": "DM Mathematics"
} |
hat is the d'th term of 8253, 33808, 59349, 84870, 110365, 135828, 161253, 186634?
-d**3 - d**2 + 25565*d - 17310
What is the n'th term of 20247, 38620, 57007, 75414, 93847, 112312?
n**3 + n**2 + 18363*n + 1882
What is the t'th term of 818, 2130, 4444, 7760?
501*t**2 - 191*t + 508
What is the i'th term of 549, 2526, 5943, 10800, 17097, 24834?
720*i**2 - 183*i + 12
What is the f'th term of -7117, -6852, -6429, -5854, -5133?
-f**3 + 85*f**2 + 17*f - 7218
What is the z'th term of -15799, -63183, -142147, -252691, -394815?
-15790*z**2 - 14*z + 5
What is the g'th term of -163657, -163675, -163693, -163711, -163729?
-18*g - 163639
What is the a'th term of 4313, 5346, 7065, 9470, 12561, 16338?
343*a**2 + 4*a + 3966
What is the f'th term of 1085, 8892, 30071, 71306, 139281, 240680, 382187?
1114*f**3 + 2*f**2 + 3*f - 34
What is the z'th term of -35787, -71382, -106775, -141960, -176931, -211682, -246207, -280500?
z**3 + 95*z**2 - 35887*z + 4
What is the n'th term of -1991, -1737, -1451, -1133?
16*n**2 + 206*n - 2213
What is the m'th term of -4889, -19621, -44201, -78641, -122953, -177149?
-2*m**3 - 4912*m**2 + 18*m + 7
What is the h'th term of 915450150, 915450151, 915450152?
h + 915450149
What is the y'th term of 20653935, 41307878, 61961821, 82615764?
20653943*y - 8
What is the f'th term of -669370, -2677900, -6025450, -10712020?
-669510*f**2 + 140
What is the i'th term of -20105, -20082, -20059?
23*i - 20128
What is the q'th term of 53013, 53108, 53271, 53502?
34*q**2 - 7*q + 52986
What is the r'th term of 2683017, 2683022, 2683039, 2683074, 2683133, 2683222, 2683347, 2683514?
r**3 - 2*r + 2683018
What is the k'th term of -90391, -90480, -90635, -90862, -91167?
-k**3 - 27*k**2 - k - 90362
What is the p'th term of 122622, 490536, 1103776, 1962384, 3066402, 4415872?
7*p**3 + 122621*p**2 + 2*p - 8
What is the b'th term of -41414, -45252, -49090?
-3838*b - 37576
What is the x'th term of -5518, -22132, -49882, -88816, -138982, -200428, -273202?
-8*x**3 - 5520*x**2 + 2*x + 8
What is the a'th term of 446199, 446196, 446191, 446184?
-a**2 + 446200
What is the t'th term of 1347492, 2694965, 4042438, 5389911, 6737384?
1347473*t + 19
What is the c'th term of -541969, -541931, -541893, -541855, -541817?
38*c - 542007
What is the x'th term of 21936484, 21936486, 21936488, 21936490, 21936492?
2*x + 21936482
What is the h'th term of -7111, -14222, -21335, -28450, -35567?
-h**2 - 7108*h - 2
What is the l'th term of -10221, -15805, -21389, -26973, -32557, -38141?
-5584*l - 4637
What is the l'th term of -6211985, -6211987, -6211989, -6211991?
-2*l - 6211983
What is the w'th term of 9871, 18962, 28079, 37222?
13*w**2 + 9052*w + 806
What is the w'th term of -15599714, -15599711, -15599708?
3*w - 15599717
What is the x'th term of -8323, -16201, -23227, -28975, -33019, -34933?
71*x**3 - 8375*x - 19
What is the w'th term of -31355, -62779, -94203, -125627?
-31424*w + 69
What is the p'th term of 6579, 12514, 18447, 24378, 30307, 36234, 42159?
-p**2 + 5938*p + 642
What is the y'th term of 10603, 44024, 99731, 177724?
11143*y**2 - 8*y - 532
What is the u'th term of 1468974, 1469100, 1469224, 1469346?
-u**2 + 129*u + 1468846
What is the a'th term of -21141, -85885, -193801, -344889?
-21586*a**2 + 14*a + 431
What is the i'th term of 459668, 459677, 459690, 459707, 459728, 459753, 459782?
2*i**2 + 3*i + 459663
What is the u'th term of -265752, -265187, -264622, -264057?
565*u - 266317
What is the f'th term of -866, -3212, -6984, -12176, -18782, -26796, -36212?
f**3 - 719*f**2 - 196*f + 48
What is the o'th term of -28303, -113190, -254653, -452680, -707259, -1018378, -1386025, -1810188?
2*o**3 - 28300*o**2 - o - 4
What is the t'th term of 4625, 36759, 123779, 293063, 571989, 987935, 1568279, 2340399?
4563*t**3 + 65*t**2 - 2*t - 1
What is the g'th term of -831, -2188, -4085, -6510, -9451, -12896?
2*g**3 - 282*g**2 - 525*g - 26
What is the f'th term of 582, 1944, 4080, 6990, 10674, 15132?
387*f**2 + 201*f - 6
What is the m'th term of -588341589, -588341588, -588341585, -588341580, -588341573, -588341564, -588341553?
m**2 - 2*m - 588341588
What is the m'th term of 1316920, 2633856, 3950792, 5267728, 6584664, 7901600?
1316936*m - 16
What is the f'th term of -19710, -39470, -59268, -79104, -98978?
-19*f**2 - 19703*f + 12
What is the y'th term of 1977, 4203, 10245, 22011, 41409?
318*y**3 + 1659
What is the l'th term of -468, -77, 1180, 3303, 6292, 10147?
433*l**2 - 908*l + 7
What is the c'th term of 31665, 64099, 96533, 128967, 161401?
32434*c - 769
What is the q'th term of -14735, -14702, -14675, -14654?
-3*q**2 + 42*q - 14774
What is the x'th term of 443, 901, 1385, 1907, 2479?
2*x**3 + x**2 + 441*x - 1
What is the q'th term of -397735, -397758, -397781, -397804, -397827, -397850?
-23*q - 397712
What is the l'th term of -84652, -87111, -89570, -92029, -94488, -96947?
-2459*l - 82193
What is the p'th term of -29926178, -59852330, -89778482, -119704634?
-29926152*p - 26
What is the k'th term of 9816, 39368, 88656, 157680, 246440, 354936?
9868*k**2 - 52*k
What is the k'th term of -2780, -5809, -8828, -11831, -14812, -17765, -20684?
k**3 - k**2 - 3033*k + 253
What is the o'th term of -2166, -7070, -15194, -26496, -40934, -58466?
7*o**3 - 1652*o**2 + 3*o - 524
What is the s'th term of 1094136, 1094105, 1094074, 1094043, 1094012, 1093981?
-31*s + 1094167
What is the i'th term of 8524, -15469, -80588, -207395, -416452, -728321, -1163564?
-3427*i**3 - i**2 - i + 11953
What is the s'th term of 6314441, 12628890, 18943339, 25257788, 31572237?
6314449*s - 8
What is the g'th term of 256437, 258878, 261319, 263760, 266201?
2441*g + 253996
What is the p'th term of 5209, 3696, 2183, 670, -843, -2356?
-1513*p + 6722
What is the w'th term of 3532, 10121, 16710?
6589*w - 3057
What is the d'th term of 8920, 37488, 85096, 151738, 237408, 342100, 465808, 608526?
-d**3 + 9526*d**2 - 3*d - 602
What is the l'th term of 8959695, 8959691, 8959689, 8959689, 8959691, 8959695, 8959701?
l**2 - 7*l + 8959701
What is the w'th term of 8188, 16344, 24510, 32692, 40896, 49128?
w**3 - w**2 + 8152*w + 36
What is the f'th term of -580480, -2321870, -5224194, -9287452, -14511644, -20896770?
-580467*f**2 + 11*f - 24
What is the o'th term of 520, 440, 374, 316, 260?
-o**3 + 13*o**2 - 112*o + 620
What is the t'th term of -180372493, -180372481, -180372461, -180372433?
4*t**2 - 180372497
What is the z'th term of 663000, 1326004, 1989008, 2652012, 3315016?
663004*z - 4
What is the c'th term of -5993390, -11986805, -17980238, -23973689?
-9*c**2 - 5993388*c + 7
What is the q'th term of -1336, -5034, -11144, -19672, -30624, -44006?
-q**3 - 1200*q**2 - 91*q - 44
What is the n'th term of 148804385, 148804384, 148804383, 148804382?
-n + 148804386
What is the g'th term of -5223, -9310, -13155, -16752, -20095, -23178, -25995, -28540?
g**3 + 115*g**2 - 4439*g - 900
What is the n'th term of 3358, 6404, 9446, 12484, 15518?
-2*n**2 + 3052*n + 308
What is the q'th term of -41211, -41197, -41183, -41169, -41155, -41141?
14*q - 41225
What is the j'th term of 16038253, 16038251, 16038249, 16038247?
-2*j + 16038255
What is the u'th term of -150154, -150216, -150290, -150382, -150498, -150644?
-u**3 - 55*u - 150098
What is the q'th term of -1336904, -1336896, -1336882, -1336856, -1336812?
q**3 - 3*q**2 + 10*q - 1336912
What is the x'th term of -586, -1080, -1576, -2074, -2574, -3076, -3580?
-x**2 - 491*x - 94
What is the a'th term of -241159024, -241159022, -241159020, -241159018, -241159016, -241159014?
2*a - 241159026
What is the l'th term of -8372, -16085, -23798, -31511, -39224?
-7713*l - 659
What is the h'th term of 5038, 10314, 15852, 21658, 27738, 34098, 40744, 47682?
h**3 + 125*h**2 + 4894*h + 18
What is the u'th term of -905752, -905761, -905792, -905851, -905944, -906077?
-u**3 - 5*u**2 + 13*u - 905759
What is the q'th term of 2096658, 4193301, 6289932, 8386551?
-6*q**2 + 2096661*q + 3
What is the d'th term of -18700, -3868, 10964, 25796?
14832*d - 33532
What is the p'th term of -5489114, -5489105, -5489096, -5489087?
9*p - 5489123
What is the c'th term of 1383, 1505, 1731, 2067, 2519, 3093?
c**3 + 46*c**2 - 23*c + 1359
What is the h'th term of 493344, 986704, 1480050, 1973376, 2466676, 2959944, 3453174?
-h**3 - h**2 + 493370*h | {
"pile_set_name": "DM Mathematics"
} |
Convert 29654.56 kilometers to nanometers.
29654560000000000
How many millilitres are there in 21/4 of a litre?
5250
How many minutes are there in 1/10 of a week?
1008
Convert 4.12126mm to meters.
0.00412126
How many decades are there in 51/2 of a century?
255
How many kilograms are there in 5/4 of a tonne?
1250
Convert 7731.296 micrometers to meters.
0.007731296
How many microseconds are there in 1/4 of a millisecond?
250
Convert 177220.6 hours to milliseconds.
637994160000
How many milligrams are there in 3/50 of a kilogram?
60000
Convert 95036.51 millilitres to litres.
95.03651
How many hours are there in fourty-seven quarters of a day?
282
How many millilitres are there in 13/4 of a litre?
3250
How many millilitres are there in 12/25 of a litre?
480
Convert 390.2976 hours to weeks.
2.3232
How many kilograms are there in 395370.1 milligrams?
0.3953701
Convert 78.7074 litres to millilitres.
78707.4
What is 3/56 of a week in hours?
9
How many nanograms are there in 865.6769g?
865676900000
Convert 458645.7l to millilitres.
458645700
What is 1/4 of a microsecond in nanoseconds?
250
What is 3/5 of a kilogram in grams?
600
What is 270181.3m in centimeters?
27018130
What is 351.2191 millilitres in litres?
0.3512191
What is 3/10 of a tonne in kilograms?
300
How many millimeters are there in thirty-four fifths of a meter?
6800
What is 11/8 of a millimeter in micrometers?
1375
Convert 2.812775 decades to millennia.
0.02812775
What is one tenth of a centimeter in micrometers?
1000
What is 7/2 of a kilometer in meters?
3500
Convert 0.3579696 years to months.
4.2956352
What is 0.7779915 years in months?
9.335898
What is 268991.4 litres in millilitres?
268991400
What is one tenth of a tonne in grams?
100000
How many hours are there in 0.6404767 weeks?
107.6000856
How many millilitres are there in 12.5229 litres?
12522.9
What is 1/10 of a millennium in centuries?
1
How many millimeters are there in seven quarters of a meter?
1750
How many minutes are there in 1477.007 hours?
88620.42
What is 6/25 of a kilogram in grams?
240
How many millilitres are there in 334579.8l?
334579800
What is 0.8106277mm in centimeters?
0.08106277
What is 8.780981 kilograms in milligrams?
8780981
How many years are there in 8.650841 decades?
86.50841
How many nanometers are there in 395.9372m?
395937200000
How many micrometers are there in one tenth of a millimeter?
100
How many millilitres are there in 9.834149 litres?
9834.149
What is 13/7 of a week in minutes?
18720
What is 11/10 of a microsecond in nanoseconds?
1100
What is five quarters of a centimeter in micrometers?
12500
What is 31.4465mg in micrograms?
31446.5
What is 45/8 of a kilogram in grams?
5625
What is one twentieth of a millennium in months?
600
Convert 38.2825cm to nanometers.
382825000
How many millilitres are there in 21/5 of a litre?
4200
What is 17/2 of a litre in millilitres?
8500
What is 5/6 of a week in minutes?
8400
Convert 6212.27 millilitres to litres.
6.21227
What is seven quarters of a millimeter in micrometers?
1750
Convert 176793926.4us to weeks.
0.000292318
What is 0.617474ng in grams?
0.000000000617474
What is 5.067261 tonnes in nanograms?
5067261000000000
How many nanograms are there in 1/16 of a milligram?
62500
Convert 91.31803 litres to millilitres.
91318.03
How many meters are there in 57942.16cm?
579.4216
Convert 89943.51 litres to millilitres.
89943510
How many litres are there in 6796.392 millilitres?
6.796392
How many litres are there in 622.597ml?
0.622597
What is fifty-three quarters of a gram in milligrams?
13250
What is 6801.173 kilometers in millimeters?
6801173000
Convert 78307.73ng to kilograms.
0.00000007830773
How many litres are there in 432.4657ml?
0.4324657
Convert 877621.32us to hours.
0.0002437837
Convert 0.0359366l to millilitres.
35.9366
Convert 5.097606 kilometers to centimeters.
509760.6
What is 0.7917751 decades in months?
95.013012
How many months are there in 45/4 of a decade?
1350
How many nanograms are there in 7/2 of a microgram?
3500
What is 6/5 of a century in months?
1440
How many minutes are there in 1/15 of a day?
96
How many millimeters are there in 3/5 of a centimeter?
6
Convert 685.1444 centuries to millennia.
68.51444
How many millimeters are there in three tenths of a meter?
300
How many seconds are there in 0.5055601 weeks?
305762.74848
How many months are there in eight fifteenths of a century?
640
Convert 736.477 hours to seconds.
2651317.2
What is thirty-one fifths of a decade in months?
744
How many millimeters are there in 1/5 of a meter?
200
Convert 6059.569kg to micrograms.
6059569000000
What is twenty-one halves of a litre in millilitres?
10500
Convert 2.20528cm to micrometers.
22052.8
Convert 671277.2 millilitres to litres.
671.2772
What is 0.8232388cm in micrometers?
8232.388
What is 2/15 of a millennium in months?
1600
What is 137.23326 months in millennia?
0.011436105
What is seventeen halves of a millennium in years?
8500
How many litres are there in 7130.299 millilitres?
7.130299
What is three fifths of a litre in millilitres?
600
How many millilitres are there in 43/2 of a litre?
21500
How many nanograms are there in 6/25 of a microgram?
240
What is eleven halves of a minute in seconds?
330
How many millilitres are there in 748.4317 litres?
748431.7
Convert 23.15549 days to seconds.
2000634.336
What is 14.85157 tonnes in kilograms?
14851.57
How many months are there in 3.4131 centuries?
4095.72
Convert 6403.158 grams to milligrams.
6403158
How many hours are there in 247168.62 microseconds?
0.00006865795
How many minutes are there in 37/5 of a day?
10656
How many millilitres are there in 7/2 of a litre?
3500
How many micrograms are there in 883653.3g?
883653300000
What is nine tenths of a litre in millilitres?
900
How many years are there in 3/5 of a decade?
6
What is one quarter of a century in months?
300
Convert 67532894.1us to weeks.
0.00011166153125
How many decades are there in 25.68961 millennia?
2568.961
Convert 96.52087 years to months.
1158.25044
What is 0.2417332mg in nanograms?
241733.2
What is 5.262661 millennia in decades?
526.2661
Convert 5210.628 minutes to nanoseconds.
312637680000000
What is nine tenths of a centimeter in micrometers?
9000
How many seconds are there in 6/5 of a hour?
4320
How many nanograms are there in 743.4908ug?
743490.8
How many litres are there in 9.15294 millilitres?
0.00915294
What is twenty-one eighths of a litre in millilitres?
2625
How many grams are there in 3140.094 nanograms?
0.000003140094
How many seconds are there in seven eighths of a hour?
3150
What is 71/3 of a year in months?
284
What is 26967.3 millennia in decades?
2696730
Convert 9.691923ml to litres.
0.009691923
What is 14885.67 litres in millilitres?
14885670
What is 49/5 of a century in years?
980
How many millilitres are there in 326.3495l?
326349.5
How many centimeters are there in 8.756761um?
0.0008756761
What is one fifth of a millennium in months?
2400
How many nanometers are there in thirteen fifths of a micrometer?
2600
How many micrometers are there in three eighths of a millimeter?
375
How many centimeters are there in 3/8 of a kilometer?
37500
What is 57/2 of a milligram in micrograms?
28500
What is 7/4 of a year in months?
21
What is nine tenths of a microgram in nanograms?
900
How many millilitres are there in 17/2 of a litre?
8500
What is 239183.145ns in days?
0.0000000027683234375
What is 815.2171 millilitres in litres?
0.8152171
What is 9217.582 centimeters in micrometers?
92175820
How many minutes are there in 1/24 of a day?
60
What is eight sevenths of a week in days?
8
What is twenty-seven fifths of a kilometer in meters?
5400
What is 23/6 of a millennium in months?
46000
How many milligrams are there in 83.61646t?
83616460000
Convert 73.556847 nanoseconds to hours.
0.0000000000204324575
How many millilitres are there in 1628.237 litres?
1628237
What is 630.8768cm in kilometers?
0.006308768
How many decades are there in twenty-one fifths of a century?
42
What is 3/5 of a microgram in nanograms?
600
How many centimeters are there in 1/4 of a kilometer?
25000
How many months are there in 0.277118 millennia?
3325.416
What is 41/6 of a millennium in months?
82000
How many millilitres are there in 17/4 of a li | {
"pile_set_name": "DM Mathematics"
} |
9
What is the product of 3 and 726109?
2178327
0.025 * 1138.5
28.4625
Calculate 25*-9.49.
-237.25
What is -0.4105 times 29.6?
-12.1508
-544416*-7
3810912
Calculate 0.3*-663549.
-199064.7
Multiply 0.2 and 1097764.
219552.8
539 * 19
10241
What is the product of 3.43 and -79?
-270.97
Work out 1.33 * -513.
-682.29
-22568*0.36
-8124.48
What is the product of -50566 and -0.1?
5056.6
1341 * 29
38889
Multiply -0.02 and -0.09197.
0.0018394
-0.838 * -1.2
1.0056
80.86*-47
-3800.42
What is the product of -2.15 and -0.1738?
0.37367
-0.1*-1336
133.6
Work out 12.13 * -0.125.
-1.51625
-210190 * -0.5
105095
What is 514 times -0.33?
-169.62
What is -0.1122 times 4.77?
-0.535194
-3295*80
-263600
-241859 times 0
0
Calculate -300*9.7.
-2910
What is 1.29 times -0.03?
-0.0387
What is the product of 0.20949 and -18?
-3.77082
2 * 137671
275342
0.3 times -3.51545
-1.054635
Calculate -5*0.144204.
-0.72102
25095 * -7
-175665
Work out 5469 * 129.
705501
Multiply -3633744 and -0.4.
1453497.6
What is 4 times 2969?
11876
-13718.4*-0.4
5487.36
What is the product of -927 and -4058?
3761766
What is -0.01 times -7436?
74.36
Product of -3.1877 and 5.
-15.9385
Calculate 1.179*1299.
1531.521
Multiply -1 and -0.2844.
0.2844
3499.29*-0.5
-1749.645
Calculate 0.23052*7.
1.61364
What is the product of 410.88 and -8?
-3287.04
Calculate 0.64931*-2.
-1.29862
Work out -0.2 * -151310.
30262
Multiply 16.47 and -14.
-230.58
What is 256 times -222?
-56832
What is the product of 1209.8 and -0.04?
-48.392
-0.08*44.132
-3.53056
-121*-1343
162503
0.2*0.175217
0.0350434
What is -49 times 0.172?
-8.428
Multiply -34 and -308.8.
10499.2
Multiply -5 and -235929.
1179645
20 times -27.02
-540.4
0.43 * -0.1402
-0.060286
-0.3 * -5932
1779.6
What is the product of -52 and 19029?
-989508
-0.6 * 131830
-79098
What is -0.05 times 869.195?
-43.45975
-14.85 times 98
-1455.3
Product of -1379 and 0.06.
-82.74
Product of 1045213 and 4.
4180852
-0.2 times -42261
8452.2
Multiply -0.0927 and 1467.
-135.9909
Multiply -1424.1 and 32.
-45571.2
-8292 * 0.005
-41.46
Multiply 34.4778 and 0.
0
Work out 0 * 152445.
0
Product of -0.012 and 11693.
-140.316
Work out -8 * -1252.
10016
Product of 0.07 and 0.032187.
0.00225309
-2655212*0.2
-531042.4
-3364 times 14
-47096
Work out 0.4 * 228019.
91207.6
What is 2 times 5170.2?
10340.4
What is the product of 2.160766 and 0.4?
0.8643064
-0.09545 * -1
0.09545
What is 1 times -0.0931?
-0.0931
0.1881*-14
-2.6334
Work out -265 * 16.33.
-4327.45
6733 times -4
-26932
What is the product of -1 and 19935?
-19935
Multiply 63 and -108.19.
-6815.97
-72.3 times 2.511
-181.5453
-0.14 * -4822
675.08
Calculate -25*-1674.
41850
0.05*-296874
-14843.7
Multiply 7 and -1.68.
-11.76
-0.07 * 54333
-3803.31
356 * 0.302
107.512
Work out 0.6 * -340.
-204
-1.6 times 0.178127
-0.2850032
Work out 0 * 38.3504.
0
-0.5 times 98035
-49017.5
-0.0389*-0.023
0.0008947
What is the product of -52497 and 32?
-1679904
6 times 109104
654624
Product of 0 and 0.03193.
0
-0.867 * 80
-69.36
Work out -0.5 * -74.55.
37.275
Calculate -61867.2*-3.
185601.6
Calculate -2*-0.177282.
0.354564
-355 times 21.82
-7746.1
Multiply -63 and -201.
12663
Calculate 6.17*-5754.
-35502.18
Calculate 0.14048*-0.07.
-0.0098336
-4*0.0243161
-0.0972644
Product of 0.94 and 52.3.
49.162
Product of -2105 and -6.1.
12840.5
Work out -1440 * -0.3.
432
Product of 12 and 0.4.
4.8
Calculate 2*-50469.
-100938
What is the product of 423 and 0.05?
21.15
Calculate 182*-1461.
-265902
What is the product of -3 and 74488?
-223464
Work out -1 * 4190.7.
-4190.7
What is the product of 0.0599137 and 0?
0
What is -1.6082 times 0.29?
-0.466378
Multiply -0.07 and 4156.
-290.92
Calculate 0.1*15.8589.
1.58589
Work out -0.0164 * 1.28.
-0.020992
What is the product of 144 and 3.01?
433.44
0.059 * 0.4914
0.0289926
Calculate -11.0017*-0.5.
5.50085
61655 * -19
-1171445
What is the product of -3.14 and 1787?
-5611.18
Multiply 56162 and 0.5.
28081
What is -4 times -0.1263?
0.5052
What is the product of -36 and 1.717?
-61.812
-13744 * 0.02
-274.88
What is the product of 2183.37 and 0.03?
65.5011
35147 * 0.77
27063.19
What is -28.724 times -0.8?
22.9792
-0.6 times 4.058
-2.4348
Work out 201 * -37898.
-7617498
Work out 0.2 * 2.4125.
0.4825
-0.04884 * 5
-0.2442
Product of 28349 and 8.
226792
Work out 5479 * 14.
76706
What is -0.5 times -0.14917?
0.074585
Product of -448 and 3.33.
-1491.84
Multiply -1076520 and -0.3.
322956
Product of 0.045 and -20777.
-934.965
Calculate -2.574*27.
-69.498
0.2*-43098
-8619.6
Work out -5 * 367641.
-1838205
What is the product of 2.97189 and 0.1?
0.297189
Calculate -43*-1.211.
52.073
What is -57.6 times -2308?
132940.8
Calculate -358.4*-0.048.
17.2032
Product of -358 and 1.9324.
-691.7992
Multiply -0.2 and -149.835.
29.967
Calculate -4*0.1405936.
-0.5623744
-45498.6*-1
45498.6
Product of 1944555 and -0.5.
-972277.5
0.7 * 2625
1837.5
What is -27883 times 2?
-55766
1519 times -0.5
-759.5
What is the product of -987450 and 0?
0
What is the product of 56.542 and 3?
169.626
Calculate 1479156*0.2.
295831.2
Product of -11.7 and 1252.
-14648.4
Product of -33025 and -2.
66050
What is the product of 4652798 and -0.2?
-930559.6
-182.033*0
0
What is the product of -436 and -4.1?
1787.6
Work out -0.2 * -0.0231133.
0.00462266
Work out 23.745 * 2.
47.49
What is 2 times 25809?
51618
Product of -0.059 and -243.
14.337
What is 726395 times -0.4?
-290558
Calculate 34*-0.12763.
-4.33942
Multiply 3372 and 0.07.
236.04
Calculate 22824*0.13.
2967.12
Calculate -4*0.0545462.
-0.2181848
35.779*15
536.685
Product of 1.55053 and -0.4.
-0.620212
What is the product of 22 and -171.7?
-3777.4
What is the product of -2.35 and -32?
75.2
Multiply 5070 and 501.
2540070
Multiply -0.17 and 114.5.
-19.465
-7*-3.7789
26.4523
Work out -70 * -449.
31430
What is 6.628 times -78?
-516.984
105*-2619
-274995
Multiply 42.358 and 15.
635.37
What is the product of 12.4 and 1748?
21675.2
What is 1 times 91.6?
91.6
Multiply -32878 and 4.
-131512
Calculate -35*3.746.
-131.11
0.1469*-18.88
-2.773472
What is the product of 46 and 229?
10534
What is the product of 0.06332 and -1.4?
-0.088648
-0.659*0.554
-0.365086
Calculate -4.65*-231.
1074.15
What is -20235 times 2.2?
-44517
Work out -2084 * -352.
733568
What is -0.1693 times -14.7?
2.48871
-149.34 times -1
149.34
8543390 times -2
-17086780
What is the product of -0.6 and -0.3942?
0.23652
What is the product of 72482 and -5?
-362410
Multiply 5 and -0.100019.
-0.500095
Work out -0.006728 * -0.3.
0.0020184
Product of 5 and 220.38.
1101.9
What is the product of 2 and -67718?
-135436
Work out 20 * 0.079.
1.58
Multiply 1 and -25800.
-25800
Product of 0.1 and 0.24146.
0.024146
-0.2*22.78
-4.556
-30444 * -0.16
4871.04
-984 times 0.85
-836.4
Multiply 479 and -121.2.
-58054.8
-75 times -1874
140550
Multiply 0.65 and -0.02917.
-0.0189605
396 * -0.625
-247.5
Work out -3285 * -24.
78840
What is -92247 times 4?
-368988
Product of 46.1289 and 3.
138.3867
Multiply -207 and 0.0797.
-16.4979
Work out 200441 * 5.
1002205
0.3*-47369
-14210.7
What is -1031 times 35.4?
-36497.4
Product of 30 and 393.
11790
Work out -5 * -0.0345006.
0.172503
Multiply -0.7 and 88181.
-61726.7
Calculate 0.4*123.55.
49.42
What is -1.83462 times -0.8?
1.467696
What is -843 times 1633?
-1376619
What is the product of 0.279 and 0.025?
0.006975
-2*-643105
1286210
-1514 times -0.03
45.42
Product of -24 and -0.1423.
3.4152
What is -11.5 times -9357?
107605.5
What is -25292 times 127?
-3212084
27*-16.1683
-436.5441
Multiply 0.4 and -786.178.
-314.4712
Work out 110376 * 0.3.
33112.8
Product of 11999 and 4.
47996
Product of 38.537 and -2.
-77.074
0.1 times 0.38622
0.038622
Work out -120.187 * 0.049.
-5.889163
13.3*-112.95
-1502.235
Work out 4.5 * -6.5377.
-29.41965
Work out 3775 * -0.2.
-755
0.5 times 30328
15164
13.3*1405
18686.5
Multiply 0.01 and 951.
9.51
Multiply -372036 and 0.3.
-111610.8
-0.2*-555
111
-2073 times 139
-288147
Product of 236 and 0.03797.
8.96092
What is -0.06 times -430273?
25816.38
Product of -2.223 and 0.52.
-1.15596
-2 * -56.8
113.6
Work out -1.1 * 5279.
-5806.9
-32577*3
-97731
Product of -467 and -1.07.
499.69
Work out -48 * 30.91.
-1483.68
Product of 3776 and -61.
-230336
Calculate 2633*0.41.
1079.53
Work out -2.26 * 193.
-436.18
-7.664*0.5
-3.832
What is 0.3 times -0.1468?
-0.04 | {
"pile_set_name": "DM Mathematics"
} |
-2064 = -27*a - 282. Let f(t) = -3*t**3 - t**2 + 3*t + 1. Let i be f(-4). What is the greatest common factor of a and i?
33
Let m(y) = -y**2 + y + 16. Let p be m(-2). Calculate the highest common factor of 10 and p.
10
Let f = -14 - -32. Let j = -13 + f. Suppose 86*i - 40 = 85*i. What is the greatest common divisor of i and j?
5
Let c(p) = -p**3 + 12*p**2 - 11*p + 2. Suppose -2 + 6 = 4*g. Suppose a - g = 9. Let z be c(a). What is the greatest common factor of 23 and z?
23
Let k be 16 - (11 + -6 + -4)*-3. Calculate the highest common factor of 1159 and k.
19
Let s(n) = -4*n**3 + 4*n**2 + 8*n. Let m be s(-3). What is the highest common factor of 80 and m?
40
Suppose a = -5*j + 61, 0 = 2*j - 6*a + 8*a - 26. Let f = -113 + 209. What is the greatest common factor of f and j?
12
Suppose -1332 = -2*k + o, 5*k - 2786 - 555 = -3*o. Let g = -388 + k. What is the highest common divisor of 31 and g?
31
Suppose -m - 3*c + 2892 = 2*m, c = 2*m - 1916. Suppose 4*z - z = m. Suppose 0 = 5*n - z - 265. Calculate the greatest common factor of n and 13.
13
Let s(q) = 9*q. Let j be ((-8)/(-24))/((-2)/(-18)). Let y be s(j). Calculate the highest common factor of 243 and y.
27
Let m(y) = -29*y - 79. Let r be m(-3). Suppose q + 35 = 3*t, -3*t + 41 - 3 = 2*q. Calculate the highest common divisor of t and r.
4
Suppose -3*t = -4*c - 2306, -4*t = 3*c + c - 3084. Calculate the greatest common factor of t and 35.
35
Suppose 5*b + 3*l = 230, 0 = -0*b + 3*b - 4*l - 167. Calculate the highest common divisor of 1323 and b.
49
Let n(q) = 11*q - 6 + 38 - 8*q. Let h be n(-8). Suppose 2*w - m + 10 - 153 = 0, 0 = 5*w + 4*m - 364. What is the highest common factor of h and w?
8
Let t be (328/48 + (-3)/(-18))*1. Let z(o) = o**2 + o. Let x be (1 - (-2 - -1))*3. Let w be z(x). What is the greatest common factor of t and w?
7
Suppose 31 = -4*b + 367. What is the greatest common divisor of 60 and b?
12
Suppose 4*i - 3 = -39. Let t be (-14)/(-8) + i/(-36). Calculate the greatest common factor of 14 and t.
2
Suppose -9*s = -2*s - 154. Suppose 4*q - 2 - 6 = 0. Calculate the greatest common factor of s and q.
2
Let l be (-1)/3*118*(-30)/5. Let p be (3 + l/(-12))/((-2)/3). Suppose n - 2*n + 5 = 0. What is the highest common factor of n and p?
5
Let k = 101 + -99. Suppose -3*v = -k*m + 3*m - 22, -2*m = -8. Calculate the greatest common factor of 42 and v.
6
Let h = 177 - 100. Let b be (-22)/55*(2 - h). Calculate the highest common factor of 240 and b.
30
Let n be (1 - -4)*(3 - 2). Suppose 300 = 4*y + n*x, 5*y + 144 = 3*x + 482. Let r = 51 + -23. What is the greatest common divisor of y and r?
14
Let r(j) = -j**2 - 4*j + 28. Let d be r(-8). Let s be d/8*2*(-3 - 2). Calculate the highest common divisor of 35 and s.
5
Suppose -55*p + 60*p = 400. Let m(w) = 5*w**3 + 1. Let v be m(-1). Let j(u) = -9*u - 4. Let f be j(v). Calculate the highest common divisor of f and p.
16
Suppose -3*x - 38 + 14 = 0. Let d be (266/56)/((-1)/x). What is the greatest common divisor of d and 152?
38
Suppose -2*b + 3*i = b - 702, 2*b - 459 = -i. What is the highest common factor of 66 and b?
33
Suppose -5*z - 5*y + 512 = -y, 0 = -3*y - 6. Calculate the highest common divisor of z and 52.
52
Let l be 5/2*(-51 + -5)/(-7). Let k = 0 + 70. What is the highest common factor of k and l?
10
Let j(o) = 6*o - 16. Let v be j(30). What is the greatest common divisor of v and 4?
4
Let z be 2*(9/2 + -3). Suppose 3 = -5*o - g, o + z*g = -o - 9. Suppose 5*n = -o*n + 240. Calculate the highest common factor of 12 and n.
12
Suppose 2*w = 4*w + 4*q - 572, 5*q - 1135 = -4*w. Suppose 5*t - 163 = 11*u - 8*u, 5*u - 160 = -4*t. Calculate the greatest common factor of w and t.
35
Suppose 5*m - 61 + 11 = 0. Suppose 11 + 78 = -2*a - 3*f, 0 = -2*f + 10. Let h = -48 - a. Calculate the highest common factor of h and m.
2
Let i be (-63)/(-13) - (-6)/39. Let c be 15/(20/(-5) + i). Suppose -5*m + 4*m = -3*u + 138, 5*u = m + 228. Calculate the greatest common factor of u and c.
15
Let p = 3741 + -2614. What is the highest common factor of p and 49?
49
Suppose -8*l + 68 = -4*l. Suppose -5*o - 4*j + 6*j = -29, j + l = 3*o. Calculate the greatest common factor of 5 and o.
5
Suppose -5*b + 58 = 3*n, 4*n + b + 18 - 101 = 0. Suppose 6*o = o - 15, 3*d = -o + 6. Calculate the greatest common divisor of d and n.
3
Suppose 2*c - 9 = 31. Suppose 5*o - 58 = 4*r, 0*o - 2*r + c = o. Let p = 22 - o. Calculate the greatest common factor of 40 and p.
8
Suppose j - 168 = -2*j. Suppose 0 = -18*p + 326 - j. Calculate the highest common divisor of p and 10.
5
Let g = 97 + -90. Suppose -2*o + 9 = t - 0, -4*o = t - g. What is the highest common divisor of 121 and t?
11
Suppose 188 = 5*f + 3*n, -5*f + 2*n + 0*n = -208. Let d = 59 - f. What is the greatest common divisor of 38 and d?
19
Let q = -152 - -414. Suppose -17*s + q = 58. Calculate the greatest common factor of s and 96.
12
Suppose -4*f - 331 = -3*d, 6*d + 4*f = 2*d + 488. Suppose -13*y + 98 = -71. Calculate the highest common factor of d and y.
13
Suppose -16*q + 1227 = -2517. Calculate the highest common divisor of 312 and q.
78
Let d(c) = 6*c + 6. Let j be d(3). Suppose -5*s - 638 = -3*i, -6*i + 872 = -2*i + 4*s. Calculate the highest common factor of i and j.
24
Let v be 36672/32 + -7 + 1. What is the greatest common factor of 60 and v?
60
Let a = 18 + -15. Let h be 20/a + 3/9. Calculate the greatest common divisor of h and 63.
7
Suppose -22*l + 292 = -16. Calculate the greatest common factor of l and 2.
2
Suppose -3*f + 2*f = 2*h - 15, 3*f = -h + 20. Suppose -8 = p - h*p. Let c = 0 - -2. Calculate the highest common divisor of p and c.
2
Suppose -2*h + 4*k + 440 = 0, 2*h - h - 216 = 4*k. Let g = h + -140. What is the highest common divisor of 210 and g?
42
Suppose -5*b - b = 168. Let d be 2/(((-24)/b)/3). Calculate the highest common divisor of d and 42.
7
Suppose -n = 3*n - 84. Let q(t) = 233*t + 315. Let w be q(9). Let h be w/14 + (-6)/n. Calculate the greatest common factor of 43 and h.
43
Let h = -306 - -336. What is the greatest common divisor of 130 and h?
10
Let y = -612 - -623. Calculate the greatest common factor of 6 and y.
1
Let o = -22 - -30. Suppose o*d - 1480 + 8 = 0. Calculate the highest common divisor of 23 and d.
23
Let q(h) = -12*h**2 - 4 - 6*h - 9*h**2 + 22*h**2. Let w be q(8). Let n = 28 + -16. Calculate the highest common divisor of w and n.
12
Let a(p) = -p**3 + 31*p**2 - p + 69. Let c be a(31). What is the greatest common factor of c and 950?
38
Let d be (1 + -2)/2*(-4)/(-2). Let q be ((-6)/4)/((3/176)/d). What is the highest common divisor of q and 132?
44
Let q(j) = 7*j - 19 + 4 - j - j. Let o be q(7). Calculate the highest common factor of 220 and o.
20
Let b(u) = -u**3 + 11*u**2 - 9*u - 3. Let o be b(10). Suppose o*s - 2*s = 5. Let i = s + 1. What is the highest common factor of i and 3?
1
Suppose 0 = 3*q - 12, 0*q - 331 = 3*k + 2*q. Let u = k + 190. What is the greatest common divisor of u and 11?
11
Suppose -8*d + 4 + 28 = 0. Suppose -d*m + 5*n + 157 = 0, -4*m + 4*n - 5*n = -151. What is the highest common divisor of 19 and m?
19
Let j = 27 - 8. Suppose j - 43 = -4*a + 4*c, -a - 14 = 3*c. Let w be (99/(-3))/(a - 4). Calculate the highest common factor of 11 and w.
11
Let y be (-84)/56 - ((-18)/4 + 1). Suppose y*m + 236 = 4*b, -6*b + 238 = -2*b - m. Calculate the greatest common divisor of b and 15.
15
Let v(a) = a**2 - 5*a + 4. Let u be v(7). Let h be u/(-45) + (-884)/(-10). What is the highest common factor of 8 and h?
8
Let h be ((-132)/(-28) + -5)/((-5)/175). Calculate the greatest common divisor of h and 26.
2
Let p = 121 + -95. Let y = 37 - p. What is the highest common factor of 187 and y?
11
Suppose h + 144 = -4*g, h + 179 = -5*g - 0*h. Let o be (20 - -1)*(-2)/(-6). Let r be (-5)/g - (-111)/o. Calculate the greatest common factor of r and 40.
8
Let f = -11 - -13. Suppose -f*c - 175 = -7*c + 5*y, 5*y = -4*c + 113. What is the greatest common factor of c and 48?
16
Suppose 6*i = -5*i + 308. Calculate the greatest common factor of i and 56.
28
Let b = -100 - -189. Suppose -5*z - 2*n + 115 = 0, -21 = -5*z - n + b. Calculate the highest common factor of 28 and z.
7
Let r(g) = 6*g + 34. Suppose 7*j - 3*j = -4*d, -5*d = -5*j - 50. Let p be r(j). What is the greatest common divis | {
"pile_set_name": "DM Mathematics"
} |
, -4/9, -1/4?
-1/4
Which is the nearest to 5? (a) 5 (b) 4 (c) 413
a
Which is the closest to 98.8? (a) -5 (b) 0 (c) 0.4 (d) 2/7
c
Which is the closest to 4? (a) 49 (b) -5 (c) 3 (d) 1/14 (e) -0.3
c
What is the closest to 140/11 in 1/9, -1.283, 5?
5
Which is the nearest to -1/2? (a) -2 (b) 0.1 (c) -0.2 (d) 0.4 (e) 503
c
What is the closest to -0.2 in -0.1, -2, 14, 3/4, 19?
-0.1
Which is the closest to 4? (a) 3 (b) -2 (c) 85 (d) -5
a
Which is the closest to -171? (a) -2/7 (b) 3 (c) -4 (d) 0.1
c
What is the nearest to -2/7 in 3, 4, -8?
3
What is the closest to -8 in 0.24, -43, 5, -1/3, 13?
-1/3
Which is the nearest to 0? (a) 0 (b) 1 (c) 152 (d) 0.11
a
Which is the closest to -110? (a) -2/397 (b) 1 (c) -1
c
What is the closest to 4/5 in 335, 3, 2?
2
Which is the nearest to -1/4? (a) 1/7 (b) 18 (c) -125
a
What is the nearest to -44 in 2/37, 0.4, 8, 4, 0?
0
What is the nearest to -41 in 3, -0.5, -3, -0.4?
-3
What is the closest to -2/5 in -5, 0.326, -1/63?
-1/63
What is the nearest to 0.1 in 0.1, -2, -1/3, -18/89?
0.1
Which is the closest to 0.1? (a) -0.3 (b) -0.1502 (c) 1/10
c
Which is the nearest to 1? (a) 2/1783 (b) -9/17 (c) -9/4
a
Which is the nearest to -1/3? (a) -4 (b) -2 (c) 17 (d) -260
b
What is the nearest to 1/2 in 3, 1, 1/25323?
1/25323
Which is the closest to 0.9? (a) 1 (b) -1 (c) 4/9 (d) -14 (e) 1/9
a
What is the closest to 0.3 in 0.4, 3/61, 5?
0.4
What is the nearest to -1/2 in 2.684, 98, 1, -1/6?
-1/6
What is the nearest to -93 in 2/9, -3, 7?
-3
Which is the nearest to 4? (a) 2/9 (b) 16 (c) -3.7
a
What is the nearest to 0.1 in 1/7, -8, 8/11, -1/2?
1/7
What is the nearest to 1 in -3/4, 2/5, 3, -505?
2/5
What is the closest to 4/13 in 2/11, -3/10, -2/15, 0.3?
0.3
What is the closest to -2/29 in -1.3, -0.4, 38?
-0.4
What is the closest to 0.6 in 32/5, 5, 0.2, 4?
0.2
Which is the closest to -1/3? (a) -4 (b) -9/37 (c) 115
b
What is the closest to -1 in 0.3, 100, -4.05, -3?
0.3
What is the closest to 0.9 in 28, 1, 2?
1
What is the nearest to 27 in -8, -3/2, -0.3, -1.9, 0.5?
0.5
Which is the closest to 272? (a) 0 (b) 3 (c) -0.031 (d) -1
b
Which is the nearest to -3? (a) 0.1 (b) 0.036 (c) -2 (d) -8
c
What is the closest to 2 in 287, -2, 0.14?
0.14
What is the closest to -1 in 14934, -0.2, 1, 1/5?
-0.2
Which is the nearest to 1? (a) -73 (b) -1 (c) -0.4 (d) -6/11 (e) 2
e
Which is the nearest to -1? (a) -2/13 (b) 0.7 (c) 2/3 (d) 20/3
a
Which is the nearest to -29/2? (a) 2/5 (b) -4 (c) -0.5 (d) -95
b
Which is the nearest to -0.4? (a) -1/5 (b) 4 (c) -1 (d) 1.2
a
Which is the closest to -0.1? (a) -2 (b) -0.2 (c) 4 (d) -1.1 (e) -1.46
b
Which is the closest to -0.1? (a) -23 (b) 1/4 (c) -2/11 (d) -8
c
What is the nearest to 1 in 2/4379, -1, -3?
2/4379
What is the closest to -0.0849 in -5, -1/4, -0.5, -12, 2?
-1/4
What is the nearest to 38 in 1914, -0.5, -3?
-0.5
What is the closest to 0 in -0.063, 0, 5, -131?
0
What is the closest to 0 in 0.06, 0.08, 0.2, -1, -0.56?
0.06
Which is the nearest to 2? (a) -2 (b) 54/13 (c) 0 (d) -0.5
c
What is the nearest to 1 in -0.04, 0.9, -1/7, -1/9, -0.5?
0.9
Which is the closest to 2? (a) -2/7 (b) 27 (c) -22 (d) 0.1
d
What is the closest to -1/4 in -78, 0.11, -1, -2?
0.11
Which is the nearest to -0.163? (a) 1/2 (b) 4/421 (c) 3/4
b
Which is the closest to 0? (a) 2 (b) -0.07 (c) -0.18
b
What is the nearest to 0.67 in 5/2, 2.86, -3, 0?
0
What is the nearest to 10 in -0.4, -8/7, -3, 0.2, -2/35?
0.2
What is the nearest to -0.4 in 382, 0.1, -12?
0.1
What is the nearest to -2/5 in 10, 2.014, -3?
2.014
Which is the nearest to 1/1037? (a) -4 (b) -1 (c) -56
b
Which is the closest to 1.55? (a) 0.3 (b) -0.1 (c) -2 (d) -3.1 (e) -0.5
a
What is the closest to -1 in -5, 162, 2/49, 1/11?
2/49
What is the closest to -1 in 0.5, -0.18, 6/13, -3.3?
-0.18
What is the nearest to 0.4 in 1/76, -37, -3?
1/76
What is the closest to -2/101 in 1/2, 3, -1/3, -4, 0.068?
0.068
Which is the closest to -1? (a) 0 (b) -0.11 (c) -5 (d) -12/11
d
Which is the closest to -10? (a) 3 (b) 1/10 (c) -0.24 (d) -0.068
c
What is the nearest to 1/3 in -2/3, -8, 1.349, -6?
-2/3
What is the nearest to -6 in -62, -5, 0.3, 0?
-5
Which is the closest to -201/7? (a) -0.2 (b) 4 (c) 5
a
What is the nearest to 2 in -1, 3/7, 0, 12/19?
12/19
What is the closest to -5 in 0.5, -0.5, 0.2, -9, -161?
-9
What is the closest to -1309 in -0.3, -3, -4, -2/7?
-4
Which is the nearest to 25? (a) 19 (b) -0.4 (c) -5 (d) 0.1
a
Which is the nearest to 8252? (a) 3 (b) -0.69 (c) 2 (d) 0.3
a
Which is the closest to 0.1? (a) 9477 (b) -1/6 (c) 0.6
b
What is the nearest to -3/3566 in -3, 0.5, -0.3?
-0.3
What is the nearest to 2/3 in 1/5, 0.4, 1/16?
0.4
What is the nearest to -90543 in 5, -9, 0.3, -0.3?
-9
What is the closest to -549 in -4, 2/3, 5, -0.5?
-4
Which is the nearest to -2/23? (a) 0.6 (b) -0.3 (c) -25 (d) 1
b
What is the nearest to 5 in 1/29, -0.4, 1/26, -4, -2?
1/26
Which is the closest to 6? (a) 4 (b) 5 (c) 0.4 (d) 0.09 (e) -9/10
b
What is the closest to -1/3 in -2/5, -5, 2, -6/169?
-2/5
Which is the closest to -1/2? (a) 1 (b) -8 (c) -12391 (d) 1/3
d
Which is the nearest to 1? (a) -2 (b) -43 (c) 3 (d) 14/291
d
Which is the nearest to 2/5? (a) -4/7 (b) 0.3 (c) 1/2368 (d) -4
b
What is the closest to 2/15 in -0.2, 2, -451, -29?
-0.2
Which is the closest to -53? (a) -1 (b) 3/5 (c) -26 (d) 5 (e) 1/4
c
Which is the nearest to -2/5? (a) 2212 (b) -2/7 (c) -0.1 (d) -3
b
Which is the nearest to 0.1? (a) 2/787 (b) 6 (c) -5 (d) -1/4
a
What is the closest to -0.4 in 5, 2/19, 3.31?
2/19
What is the closest to 9 in -3/2, 91, -1/3, 2, 4/3?
2
What is the nearest to -0.1 in -4, -6, -2/1045?
-2/1045
Which is the closest to -0.3? (a) 8 (b) -4 (c) 1/7 (d) 24 (e) -5
c
What is the nearest to -8 in 0.1, -2/9, 9/29, -53?
-2/9
What is the nearest to -38 in -1/4, -5/4, -1/11, 12, 0.02?
-5/4
Which is the nearest to -2/17? (a) -3 (b) -0.3 (c) 3 (d) 21 (e) -12
b
Which is the nearest to 1/2? (a) 1/23 (b) -0.4 (c) 5/2 (d) 0.11 (e) -2/7
d
Which is the closest to 0.2? (a) 309 (b) -4 (c) 3 (d) 5
c
What is the nearest to 0.05 in -6/11, -1, 2/7, -0.5, 7?
2/7
Which is the closest to -13? (a) 7.2 (b) 0.1 (c) -749
b
Which is the nearest to 1? (a) 0.2 (b) 0 (c) -36 (d) -1.3 (e) -7
a
What is the closest to -1 in 2112, 0.3, 83?
0.3
What is the nearest to 9 in -76, -0.41, -4?
-0.41
What is the nearest to -3 in -5, -2/17, -0.6, -0.2, -28.6?
-5
Which is the nearest to 16? (a) -1 (b) 0.6 (c) -1/26 (d) -4
b
Which is the nearest to 4? (a) 215 (b) -4 (c) -15
b
Which is the closest to -18? (a) 2/15 (b) -0.2 (c) -2/7
c
Which is the closest to 2.3? (a) 2109 (b) 0.5 (c) 0.4
b
What is the nearest to 912 in -0.07, -0.5, 0?
0
Which is the nearest to -2? (a) -191 (b) -8 (c) -4 (d) 0.4 (e) -0.5
e
What is the nearest to -3 in 3/5, -1/2, -47.2, 1?
-1/2
Which is the closest to -1/3? (a) -7/2 (b) -4 (c) 57 (d) -1/8
d
What is the nearest to -0.02 in -2, 1/44, -0.3, 2/25?
1/44
Which is the nearest to 2253? (a) -0.4 (b) 1 (c) -0.5 (d) -0.2 (e) -3
b
Which is the nearest to -2/11? (a) -3 (b) -0.113 (c) -1/8
c
What is the closest to 0 in 7.24, 0.05, -51?
0.05
Which is the closest to -1.1? (a) 310 (b) -1/3 (c) 0.4
b
Which is the closest to 0.3? (a) -1/19 (b) 14/9 (c) 0 (d) 4
c
What is the closest to -2 in 2, -711, 1.3, -3?
-3
What is the nearest to -3 in -1/2, 2/17, -21/11?
-21/11
What is the nearest to 92.9 in 17, 4, 0?
17
Which is the closest to 0? (a) 30.2 (b) -1 (c) 97
b
Which is the nearest to 61? (a) 1873 (b) -4 (c) 4
c
Which is the nearest to -13? (a) 2 (b) -35 (c) 33/2
a
What is the closest to -1 in 44, -3/4, 5, -4, 2/69?
-3/4
Which is the nearest to -0.374? (a) -3 (b) 47 (c) -2 (d) -2/9
d
What is the nearest to 0.1 in 0.4, -34, 0.08058?
0.08058
Which is the nearest to 0? (a) 0.6 (b) -2/39 (c) 22 (d) 0.5
b
Which is the closest to 20/7? (a) 1/4 (b) -1.3 (c) -20
a
Which is the nearest to 9? (a) 4/3 (b) 2/11 (c) 10 (d) -1/10
c
What is the closest to -3 in 0.02, -3, 1/9, -4/13?
-3
Which is the closest to -7? (a) -20/7 (b) 25 (c) 6/11
a
Which is the closest to 104? (a) 0.5 (b) 3 (c) -9
b
Wha | {
"pile_set_name": "DM Mathematics"
} |
etermine k*q(t) + 4*d(t).
t + 4
Let j = 179 + -173. Let x be ((-4)/j + (-5)/15)/(-1). Let u(t) = -t**3 + 5*t - 6. Let m(b) = -b + 1. Calculate x*u(z) + 4*m(z).
-z**3 + z - 2
Let p(s) = s + 15. Let u(h) = h**2 + h + 17. Let r(d) = -5*p(d) + 4*u(d). Let o(m) = 3*m**2 - m - 5. Let l be ((-1 - -2) + -2)*-7. Determine l*o(n) - 5*r(n).
n**2 - 2*n
Let s(l) = -1102*l**3 - l**2 + 8. Let z(c) = -2204*c**3 - 2*c**2 + 14. What is 14*s(o) - 8*z(o)?
2204*o**3 + 2*o**2
Let s(k) be the first derivative of 2*k**3 + 22*k - 1909. Let f(t) = t**2. Calculate 4*f(v) - s(v).
-2*v**2 - 22
Let a be 3/(2/2) - -1. Let l(p) = 12*p**2 - 51*p - 8. Let q(o) = o**2 + 51*o + 1. Let c(f) = -2*l(f) - 2*q(f). Let s(v) = -9*v**2 + 5. What is a*c(t) - 11*s(t)?
-5*t**2 + 1
Let y(o) = -5*o**2 - 2*o - 15. Let r(i) = -27*i**2 - 10*i - 65. Determine 2*r(n) - 11*y(n).
n**2 + 2*n + 35
Let b(i) = -2*i**3 - 6*i**2 - 7. Let f(h) = -2*h**3 - 5*h**2 - 6. Let s = 1482 - 1486. Determine s*f(d) + 3*b(d).
2*d**3 + 2*d**2 + 3
Let b(l) = 4*l - 1. Let x be ((-98)/(-28))/(7/14). Let f(j) = -9*j + 1. What is x*b(m) + 3*f(m)?
m - 4
Let g(d) = 2*d + 28. Let q = 12542 - 12545. Let t(y) = 3*y + 28. Determine q*t(m) + 4*g(m).
-m + 28
Let r(i) = 104*i**3 + 6*i**2 + 3*i - 2. Let t(f) = 417*f**3 + 26*f**2 + 12*f - 9. Calculate -9*r(p) + 2*t(p).
-102*p**3 - 2*p**2 - 3*p
Let i(p) = 91*p**3 - 46*p**2 - 31*p - 1322. Let w(n) = 6*n**3 - 3*n**2 - 2*n - 88. Calculate 2*i(l) - 31*w(l).
-4*l**3 + l**2 + 84
Let c(i) = 2*i - 15. Let b(s) = s - 7. Suppose 16*m - 13*m = -294. Let l be 0 - -1 - (m + 102). What is l*c(p) + 7*b(p)?
p - 4
Let b(w) = 0*w**2 - 2*w**2 + 206015*w**3 + 3*w**2 + w**2 - 206016*w**3 - 16. Let x(o) = 5*o**3 - 9*o**2 + o + 65. Calculate 9*b(a) + 2*x(a).
a**3 + 2*a - 14
Let c(p) = 1443*p - 7. Let x(a) = -5775*a + 31. Calculate -18*c(y) - 4*x(y).
-2874*y + 2
Let d(u) = -11*u - 3. Let w = -12026 - -12029. Let x(b) = -5*b - 2. What is w*d(p) - 7*x(p)?
2*p + 5
Let n(k) = -k + 7*k + 11 + 20*k**2 - 3*k - 14*k. Let r(a) = 7*a**2 - 4*a + 4. Let y be (43/(-4))/(4/16). Let h = -32 - y. What is h*r(f) - 4*n(f)?
-3*f**2
Let q(a) = -a - 1. Let b be (-9)/(36/(-80)) + -6. Suppose 5*i + 0*i + 73 = -4*w, -3*i = 4*w + 47. Let j = i + 15. Let l(u) = 6*u + 8. Calculate b*q(d) + j*l(d).
-2*d + 2
Let r(u) = -2*u - 3. Suppose y - 167*g + 6 = -168*g, 4*y - 4*g = -8. Let m(j) be the third derivative of j**4/24 + j**3/6 + j**2. What is y*m(a) - r(a)?
-2*a - 1
Let o(a) = 5*a**2. Let g(u) = -42*u**2 - 27*u + 2. Determine -g(n) - 4*o(n).
22*n**2 + 27*n - 2
Let i(g) = 5*g**3 + 5*g**2 - 2. Let l(a) = 2*a**3 + 3*a**2 - 1. Let q(p) = i(p) - 2*l(p). Let c(f) = 3*f**3 - 4*f**2 - 2*f + 2. What is -c(n) + 4*q(n)?
n**3 + 2*n - 2
Let m(o) = -o**2 + 101*o. Let r(d) = d**2 - 37*d. Calculate -3*m(v) - 8*r(v).
-5*v**2 - 7*v
Let m(j) = -9*j**3 + 7*j**2 + 2*j + 7. Let b(t) be the third derivative of -3*t**6/40 + t**5/10 + t**4/12 + t**3 - 598*t**2. Determine -7*b(i) + 6*m(i).
9*i**3 - 2*i
Let n(h) = -3*h**3 + h - 1. Let j = -439 + 298. Let g be 376/j*3/(-4). Let d(v) = -v + v**3 + 0*v**3 - 4 + 5. What is g*d(o) + 2*n(o)?
-4*o**3
Let y(x) = -7*x - 6. Let r be (-22)/((-12)/(3 + -9)). Let g be -4 - (r/55 - (-18)/15). Let f(i) = 13*i + 11. What is g*y(v) - 3*f(v)?
-4*v - 3
Let t(c) = 42*c - 757. Let d(o) = 26*o - 505. Give 8*d(n) - 5*t(n).
-2*n - 255
Let d(w) = -23*w**3 + 12*w**2 - 2*w + 12. Let f(u) = -2*u**2 - 1. Calculate -d(g) - 6*f(g).
23*g**3 + 2*g - 6
Let p(v) = -485*v**2 - v - 1. Let k(a) = -973*a**2 - 2*a - 1. What is -4*k(q) + 7*p(q)?
497*q**2 + q - 3
Let j(h) = -44 - 19*h + 44 + 0*h + 18*h. Let m(g) = 2*g**2 - 3*g + 2. Determine -3*j(y) + m(y).
2*y**2 + 2
Let w(b) = 552 + 545 - 1099 + 3*b + 18*b. Let s(c) = -c + 1. Calculate 2*s(g) + w(g).
19*g
Let j(r) = 26*r**2 - 5*r. Suppose -2*x - 2*y = 25 - 17, 5*x + 21 = -4*y. Let i(q) = -27*q**2 + 4*q. Calculate x*i(k) - 4*j(k).
31*k**2
Let z(g) = 3*g**2 + g - 16. Let u(w) = -108*w**2 - 2*w + 64. Calculate u(o) + 3*z(o).
-99*o**2 + o + 16
Let q(c) = -c**2 - c + 1. Let o(h) = -8*h**2 - 11*h + 10. Suppose -3*f + 63 = 3*x, 5*f + 5*x = 7*x + 84. What is f*q(z) - 2*o(z)?
-2*z**2 + 4*z - 2
Let l(w) be the first derivative of w**4/2 + 2*w**3 - 2*w**2 + 4*w + 5659. Let d(b) = -6*b**3 - 17*b**2 + 11*b - 11. Give 4*d(a) + 11*l(a).
-2*a**3 - 2*a**2
Let v(w) = -7*w + 1. Let y(f) = 6*f - 1. Suppose 5*a - 155 = -75. Suppose -15*m + 11*m = -a. Give m*v(l) + 5*y(l).
2*l - 1
Let l be (25/(-6))/((3 - 2)/(-6)). Let q = -22 + l. Let c(o) = -o - 6. Let u(r) = r + 11. Calculate q*u(a) + 5*c(a).
-2*a + 3
Let j(g) = 8*g**2 - 48*g - 100. Let o(i) = -i**2 + 9*i + 20. Calculate 2*j(n) + 11*o(n).
5*n**2 + 3*n + 20
Let x(i) = 7*i**2 - 2*i - 28. Let o(d) = 2*d**2. What is 2*o(j) - x(j)?
-3*j**2 + 2*j + 28
Let b(w) = 2*w**2 + 16. Let s(x) = -3*x**2 + x - 17. Determine -6*b(j) - 5*s(j).
3*j**2 - 5*j - 11
Suppose 0 = -24*x - 28 + 100. Let w(z) = z + 3. Let i(t) = 5*t + 14. Let y(b) = 2*i(b) - 11*w(b). Let a(h) = 2. What is x*y(r) + 8*a(r)?
-3*r + 1
Let c(l) be the third derivative of l**5/20 - l**4/2 + 101*l**2 + 17*l - 1. Let q(o) = 2*o**2 - 11*o. Calculate -5*c(m) + 6*q(m).
-3*m**2 - 6*m
Let l(s) = 7114*s**2 - 5*s + 10. Let v(q) = -60860273*q**2 + 42774*q - 85548. Determine -42774*l(i) - 5*v(i).
7129*i**2
Let b(p) = -2*p. Let q(t) = -t. Let g be ((-1)/1)/((-2)/(-4)). Let u = -1 - g. Suppose 25*n = -479 + 454. What is n*q(c) + u*b(c)?
-c
Suppose 36*d = 34*d - 85*d + 435. Let x(a) = -41*a - 5. Let w(u) = 42*u + 6. Determine d*w(t) + 6*x(t).
-36*t
Let y(t) = 9*t + 2*t**2 - 35*t + 4*t + 9*t**2 + 4 + 3*t. Let k(j) = 6*j**2 - 10*j + 2. Calculate -5*k(b) + 3*y(b).
3*b**2 - 7*b + 2
Let q(f) = -1 + 5 - 5*f**2 + 3*f + 2*f**2 + f**2. Let w(u) = -417. Let n(p) = 149. Let g(z) = 14*n(z) + 5*w(z). Calculate 4*g(m) - q(m).
2*m**2 - 3*m
Let y(q) = 4333798*q + 10016. Let k(m) = -12981*m - 30. Calculate 5008*k(b) + 15*y(b).
-1878*b
Let y(b) = -10315*b**2 + 31*b - 23. Let l(k) = 10316*k**2 - 23*k + 17. What is 4*l(c) + 3*y(c)?
10319*c**2 + c - 1
Let w(h) = -8*h**2 - 4. Suppose -72*b + 40 = -62*b. Let i(j) = -16*j**2 - 7. Determine b*i(d) - 7*w(d).
-8*d**2
Let v(r) be the first derivative of 5*r**4/4 + 4*r - 10. Let a be 76/40 + 2 - (-6)/(-420)*-7. Let y(k) = 5*k**3 + 3. What is a*v(o) - 5*y(o)?
-5*o**3 + 1
Let r(j) = -193*j**3 + 9*j**2 - 10*j - 3. Let y(z) = -97*z**3 + 5*z**2 - 6*z - 2. What is 3*r(s) - 5*y(s)?
-94*s**3 + 2*s**2 + 1
Let q = 3565 + -3566. Let v(l) = l**2 + l + 1. Let f(c) = 8*c**2 + 2*c + 6. Calculate q*f(w) + 4*v(w).
-4*w**2 + 2*w - 2
Let m(u) = -u**3 - 3*u**2 - u + 2. Suppose 10*c + 12*c = 6*c. Suppose 0 = -3*d - z + 1 - 7, c = -4*d - 3*z - 13. Let p(v) = -v**2. What is d*m(b) + 3*p(b)?
b**3 + b - 2
Let w(h) = -19*h**3 - 13*h**2. Let y = -94 + 156. Let u = -56 + y. Let z(r) = -6*r**2 + 3 - 45*r**3 - 7 + 36*r**3 + 4. What is u*w(f) - 13*z(f)?
3*f**3
Let r(a) = 7*a - 3. Let g(i) = -i**2 - i + 7. Let j be g(3). Let h(s) be the first derivative of -3*s**2 + 3*s + 120. Calculate j*r(d) - 6*h(d).
d - 3
Suppose 5*a + 121 - 86 = 2*q, 4*a - 5*q = -11. Let i(v) = -6*v**2 + 9. Let r(j) = -3*j**2 + 5. Calculate a*r(t) + 4*i(t).
3*t**2 - 9
Let n(m) = -17*m + 1297. Let f(s) = 56*s - 3891. Calculate 3*f(x) + 10*n(x).
-2*x + 1297
Let g(o) = 61*o + 2. Let x(f) = -30*f - 1. Suppose -5*d = -5*a - 5, 2*a + d + 70 - 53 = 0. Calculate a*g(v) - 13*x(v).
24*v + 1
Let u = -1401 + 1423. Let d(k) = -2*k. Let r(y) = -8*y. Determine u*d(x) - 6*r(x).
4*x
Let s(l) = 18*l**3 + 7*l**2 - 261. Let n(g) = 7*g**3 + 3*g**2 - 131. Determine -7*n(m) + 3*s(m).
5*m**3 + 134
Let b(m) = 13*m**3 - 3*m**2 - 3*m. Let v = 3597 - 3589. Let k(s) = -40*s**3 + 8*s**2 + 8*s. Determine v*b(j) + 3*k(j).
-16*j**3
Let f(s) = 331*s + 32. Let p(w) = 331*w + 38. Calculate -6*f(m) + 5*p(m).
-331*m - 2
Suppose -61 + 55 = -3*j. Let t(h) = 3*h**3 - 4*h**2 - 3 + 4*h**3 + j*h**2. Let v(u) = u**3 - u**2 - 1. Determine t(f) - 2*v(f).
5*f**3 - 1
Let u = 586 + -576. Let z(x) = 10 + 7*x**2 - 3*x**2 - 4 - 16*x. Let a(y) = 9*y - 3 + 1 + 0*y**2 - 4*y - y**2. What is u*a(l) + 3*z(l)?
2*l**2 + 2*l - 2
Let y = 125 - -155. Let b be y/(-68) - -4 - 925/85. Let m(p) = -5*p**2 + 4*p + 5. Let k(h) = -14*h**2 + 11*h + 14. Determine b*m(o) + 4*k(o).
-o**2 + 1
Let i(h) = -5. Let l(k) = -847 - 195 + k + 1058. Wh | {
"pile_set_name": "DM Mathematics"
} |
decreasing order.
-2/35, -1/4, -10
Put 4, 3, 43, 5, -3 in ascending order.
-3, 3, 4, 5, 43
Sort -0.5, 23404, -2/7 in decreasing order.
23404, -2/7, -0.5
Put 0, 5, 2, 7 in ascending order.
0, 2, 5, 7
Put -2, 4, -4, -214, 2 in descending order.
4, 2, -2, -4, -214
Sort 3, -4, 16.
-4, 3, 16
Sort 23, 2/7, 0, 0.3.
0, 2/7, 0.3, 23
Sort 0, 1/2, -25 in descending order.
1/2, 0, -25
Put 0.04, 57, -5 in descending order.
57, 0.04, -5
Sort 1, -1, -184 in ascending order.
-184, -1, 1
Sort -11, 3, -3, -1 in decreasing order.
3, -1, -3, -11
Put -5, 1, 1198 in decreasing order.
1198, 1, -5
Sort 5, -3, -37 in decreasing order.
5, -3, -37
Sort 2, 1, 0 in decreasing order.
2, 1, 0
Sort 1, -2.1, 7/6, -4/7 in increasing order.
-2.1, -4/7, 1, 7/6
Put -1/2, -2/9, -0.1, 5, 2 in increasing order.
-1/2, -2/9, -0.1, 2, 5
Sort 2, -68, -5 in increasing order.
-68, -5, 2
Put -0.3, -4, -0.2, -2, 1.2 in decreasing order.
1.2, -0.2, -0.3, -2, -4
Put 2, 11, 5, -5/2 in decreasing order.
11, 5, 2, -5/2
Put -5, 1, -2, -1, 155 in descending order.
155, 1, -1, -2, -5
Put -222, -1, -4 in descending order.
-1, -4, -222
Sort -122, 1, 5 in ascending order.
-122, 1, 5
Put 0, -32, 1, 2 in decreasing order.
2, 1, 0, -32
Put -3, 512, 28 in ascending order.
-3, 28, 512
Sort -1/5, -3, -8 in decreasing order.
-1/5, -3, -8
Put 1, 688, 4 in decreasing order.
688, 4, 1
Put -1, -737, 2 in ascending order.
-737, -1, 2
Put -0.2, 3, 10 in ascending order.
-0.2, 3, 10
Sort 2, 5, -9, -3, 4.
-9, -3, 2, 4, 5
Sort 872, 21, 1 in descending order.
872, 21, 1
Put 1, -5, 2 in descending order.
2, 1, -5
Put 28, -4, 25 in increasing order.
-4, 25, 28
Sort 4, -4, -2 in descending order.
4, -2, -4
Put -6, 1, 3, 5 in descending order.
5, 3, 1, -6
Sort -63/5, -2/9, 1/2, 0.1 in descending order.
1/2, 0.1, -2/9, -63/5
Sort 4, -38, -1, 6.
-38, -1, 4, 6
Put 6, -0.3, 0.5, 7 in decreasing order.
7, 6, 0.5, -0.3
Sort -2, 3, 21, -5 in ascending order.
-5, -2, 3, 21
Sort 0, 4, -5 in ascending order.
-5, 0, 4
Put -4, 4, 0, -1, -7 in descending order.
4, 0, -1, -4, -7
Put 66, 2, -4 in ascending order.
-4, 2, 66
Put -1.2, -0.1, 2/9, 2 in increasing order.
-1.2, -0.1, 2/9, 2
Put 34, 10, -1, -5 in descending order.
34, 10, -1, -5
Sort 5, -153, 4, 0 in decreasing order.
5, 4, 0, -153
Sort 0.4, -2/9, -16/9, 1/4 in decreasing order.
0.4, 1/4, -2/9, -16/9
Sort 1, -40, 3 in decreasing order.
3, 1, -40
Sort 0.4, -0.14, -3, -3/4.
-3, -3/4, -0.14, 0.4
Sort 499, -3, 0 in ascending order.
-3, 0, 499
Put -1, 1, 0.2, 1/42 in descending order.
1, 0.2, 1/42, -1
Sort 30.9, -4/9, 1/2 in increasing order.
-4/9, 1/2, 30.9
Put 4/5, -9/92, 4 in descending order.
4, 4/5, -9/92
Put 5, -5, -2, 3 in decreasing order.
5, 3, -2, -5
Put -3/8, -0.27, 0.3, 1/9, 3 in ascending order.
-3/8, -0.27, 1/9, 0.3, 3
Put 4, 2, 24, -3 in decreasing order.
24, 4, 2, -3
Put -6/7, -2, -1/6 in ascending order.
-2, -6/7, -1/6
Put -4, 4, 1/30, 1/7 in decreasing order.
4, 1/7, 1/30, -4
Sort 11, 0, -0.5.
-0.5, 0, 11
Sort -4, -0.2, 0.19.
-4, -0.2, 0.19
Put -356, -2, 5, -3, 1 in ascending order.
-356, -3, -2, 1, 5
Sort 2/9, -7, -4/5, 2.
-7, -4/5, 2/9, 2
Sort -4, 1, -2068 in descending order.
1, -4, -2068
Sort 5, -2, -1 in descending order.
5, -1, -2
Sort 0, 56, -8 in descending order.
56, 0, -8
Sort -38, 2, 0, -2 in descending order.
2, 0, -2, -38
Put 1444, 4, -3, -1 in decreasing order.
1444, 4, -1, -3
Sort -4, 1, 0.
-4, 0, 1
Sort 4, -2, -5, -4/3.
-5, -2, -4/3, 4
Put 0, 66, -3 in decreasing order.
66, 0, -3
Put 22, 1, -4 in ascending order.
-4, 1, 22
Sort -3, 12, 0, 35 in decreasing order.
35, 12, 0, -3
Put 4, 2, -0.4, 0.2 in ascending order.
-0.4, 0.2, 2, 4
Put 2, 1, -1.79 in descending order.
2, 1, -1.79
Sort 5, -0.2, -1, 0, -0.08 in ascending order.
-1, -0.2, -0.08, 0, 5
Sort 3, 0.5, 2, -2/37 in increasing order.
-2/37, 0.5, 2, 3
Put 4, -3.9, 5, 0.2 in descending order.
5, 4, 0.2, -3.9
Put -5, -4, -2, -1, 44 in ascending order.
-5, -4, -2, -1, 44
Put -3/7, 3/2, 776, -0.2 in descending order.
776, 3/2, -0.2, -3/7
Sort -5, 9, -1, -4, -40 in descending order.
9, -1, -4, -5, -40
Put -36, -5, -4, 63 in decreasing order.
63, -4, -5, -36
Put 3, -1, 70, 2 in increasing order.
-1, 2, 3, 70
Put -44, -3, 0 in decreasing order.
0, -3, -44
Put -5, -3, 0, 9, 12 in decreasing order.
12, 9, 0, -3, -5
Sort 2, 12, 0, 3, 8 in decreasing order.
12, 8, 3, 2, 0
Put -1, -4, 5, 6 in decreasing order.
6, 5, -1, -4
Sort 2/9, 3, -168 in decreasing order.
3, 2/9, -168
Put -4, 5, -2 in decreasing order.
5, -2, -4
Put 4, -3, 2, -11 in increasing order.
-11, -3, 2, 4
Put -0.4, -0.2, 12.5 in descending order.
12.5, -0.2, -0.4
Sort -13/3, 2, 1/2, -0.6 in ascending order.
-13/3, -0.6, 1/2, 2
Put 2, -3, -0.854 in ascending order.
-3, -0.854, 2
Sort -10, 0, -2, 3, -70.
-70, -10, -2, 0, 3
Sort -0.02, 0.08, 1.9 in increasing order.
-0.02, 0.08, 1.9
Put 9, -1/3, 1/2 in decreasing order.
9, 1/2, -1/3
Put 4, -5, -80, -3 in descending order.
4, -3, -5, -80
Sort -5, 28, 27 in increasing order.
-5, 27, 28
Sort -7, -2, -1.
-7, -2, -1
Put -1, -3, -19, -2 in descending order.
-1, -2, -3, -19
Put 19/3, 5, -3/2 in ascending order.
-3/2, 5, 19/3
Put 0.1, 0.4, -17, 0.3 in decreasing order.
0.4, 0.3, 0.1, -17
Sort -4, -1, 0, 26, -2 in ascending order.
-4, -2, -1, 0, 26
Sort -2, -15, 31, -5 in increasing order.
-15, -5, -2, 31
Sort 4, 0.3, 2, -1/9, -0.5 in increasing order.
-0.5, -1/9, 0.3, 2, 4
Put 0, -6, -1, -3 in descending order.
0, -1, -3, -6
Put 0, 21, 6 in decreasing order.
21, 6, 0
Sort 0.3, 0.03, 0.2, -4 in descending order.
0.3, 0.2, 0.03, -4
Put 0.4, 2, -3, -0.3, 0.04 in decreasing order.
2, 0.4, 0.04, -0.3, -3
Sort -8/7, -5, 10 in descending order.
10, -8/7, -5
Sort -1/1175, 0, 0.5 in decreasing order.
0.5, 0, -1/1175
Put 0, 5, -6.1, -4 in increasing order.
-6.1, -4, 0, 5
Sort 34, 0, -5, 2.
-5, 0, 2, 34
Sort -25, 5, -4, 39 in decreasing order.
39, 5, -4, -25
Sort -15, 3, 1, -3, -2.
-15, -3, -2, 1, 3
Put -4, 8, -5 in descending order.
8, -4, -5
Put -11, 4, 6, -1 in decreasing order.
6, 4, -1, -11
Sort -4, -1, 3, -144 in ascending order.
-144, -4, -1, 3
Sort -3, -3/10, -2 in ascending order.
-3, -2, -3/10
Sort -2, -12, -5 in decreasing order.
-2, -5, -12
Sort -5, 5, 3, 14.
-5, 3, 5, 14
Sort 0, -7, 4, -1.
-7, -1, 0, 4
Put 1, 5, 83 in descending order.
83, 5, 1
Sort 2/13, 41, -1/5.
-1/5, 2/13, 41
Put -3, 46, -4 in descending order.
46, -3, -4
Put 1, -6, -4, 4, -3 in decreasing order.
4, 1, -3, -4, -6
Sort 3, -3, 4.2, -5 in increasing order.
-5, -3, 3, 4.2
Put -13, 87, 8, -3 in increasing order.
-13, -3, 8, 87
Sort 0.3, -3214, -1 in increasing order.
-3214, -1, 0.3
Sort 0.3, -2/51, -0.1, -1 in increasing order.
-1, -0.1, -2/51, 0.3
Sort -4, -5, 189.
-5, -4, 189
Put -8, 2, -4, 0, 4 in descending order.
4, 2, 0, -4, -8
Put 3, -2, -78, -3 in decreasing order.
3, -2, -3, -78
Put 3, -8/59, -1/7, 0, -0.2 in descending order.
3, 0, -8/59, -1/7, -0.2
Put -0.04, 0, -1/3, 45 in increasing order.
-1/3, -0.04, 0, 45
Sort 0.4, 0, 371 in descending order.
371, 0.4, 0
Put 5, -27, 455 in descending order.
455, 5, -27
Put -2/7, 0.4, -0.127 in increasing order.
-2/7, -0.127, 0.4
Sort 10, -2, 0 in decreasing order.
10, 0, -2
Put -5, 1, -1, -14 in descending order.
1, -1, -5, -14
Put -277, 3, 2 in descending order.
3, 2, -277
Put 2, 13.4, -44 in increasing order.
-44, 2, 13.4
Put 5, -11116, 4 in descending order.
5, 4, -11116
Put 6, 0, -12, -2, -1 in descending order.
6, 0, -1, -2, -12
Sort -0.2, -1, 0.7, -2/11 in ascending order.
-1, -0.2, -2/11, 0.7
Sort 5, 0, 8, 4, 6.
0, 4, 5, 6, 8
Sort -3/8, -4, 8.
-4, -3/8, 8
Sort 0, 9, -82 in increasing order.
-82, 0, 9
Sort -2, -0.13, -3, -2/3 in descending order.
-0.13, -2/3, -2, -3
Sort -1, 212, 3 in decreasing order.
212, 3, -1
Sort -3, 3, -1 in descending order.
3, -1, -3
Sort -79, 3, 0.2, -3.
-79, -3, 0.2, 3
Put 28, 0.7, -1 in increasing order.
-1, 0.7, 28
Put 3, 0, -6, -4, -2 in decreasing order.
3, 0, -2, -4, -6
Sort 2, 46, 37 in ascending order.
2, 37, 46
Sort 0, -68, -2, -3, -1 in ascending order.
-68, -3, -2, -1, 0
Sort 14, 10, -0.5.
-0.5, 10, 14
Sort -3, 4, -8.93, -1, -2/7 in increasing order.
-8.93, -3, -1, -2/7, 4
Sort 4, 65, -15, -5 in increasing order.
-15, -5, 4, 65
Sort -658, 0, 2/17.
-658, 0, 2/17
Put -1, 28, -444 in decreasing order.
28, -1, -444
Sort -1, -4, 115, 5 in des | {
"pile_set_name": "DM Mathematics"
} |
108661.
2496
Calculate the remainder when 38344 is divided by 2974.
2656
What is the remainder when 18438462 is divided by 6145919?
705
What is the remainder when 574281 is divided by 148?
41
What is the remainder when 873956 is divided by 1267?
993
What is the remainder when 354511 is divided by 177254?
3
Calculate the remainder when 1988463 is divided by 81.
75
What is the remainder when 24438941 is divided by 24438872?
69
What is the remainder when 13205541 is divided by 132?
129
Calculate the remainder when 3670001 is divided by 159562.
75
What is the remainder when 743384 is divided by 2161?
0
What is the remainder when 20551 is divided by 6118?
2197
Calculate the remainder when 7284977 is divided by 3283.
0
What is the remainder when 1368749 is divided by 17?
11
What is the remainder when 2874217 is divided by 359270?
57
Calculate the remainder when 56252 is divided by 4097.
2991
What is the remainder when 12339003 is divided by 881357?
5
Calculate the remainder when 6938733 is divided by 43367.
13
Calculate the remainder when 620196 is divided by 4219.
3
What is the remainder when 13856 is divided by 244?
192
Calculate the remainder when 2878288 is divided by 1117.
896
What is the remainder when 101858 is divided by 830?
598
What is the remainder when 45053 is divided by 2889?
1718
What is the remainder when 76806 is divided by 352?
70
What is the remainder when 3152991 is divided by 1571?
1565
What is the remainder when 72014682 is divided by 12002446?
6
Calculate the remainder when 357651 is divided by 1225.
1176
Calculate the remainder when 3530 is divided by 215.
90
What is the remainder when 2030770 is divided by 3193?
22
Calculate the remainder when 1328668 is divided by 1328638.
30
What is the remainder when 11679996 is divided by 1020?
996
Calculate the remainder when 44047 is divided by 587.
22
What is the remainder when 245165 is divided by 5662?
1699
What is the remainder when 54439 is divided by 4859?
990
What is the remainder when 813458 is divided by 58081?
324
Calculate the remainder when 37482 is divided by 3430.
3182
Calculate the remainder when 1700199 is divided by 829.
749
What is the remainder when 311084023 is divided by 1095?
1093
What is the remainder when 95599 is divided by 31556?
931
Calculate the remainder when 3348638 is divided by 510.
488
What is the remainder when 341402 is divided by 48767?
33
What is the remainder when 348998 is divided by 119?
90
What is the remainder when 5705976 is divided by 1127?
1102
What is the remainder when 39955 is divided by 9916?
291
Calculate the remainder when 46133 is divided by 3383.
2154
Calculate the remainder when 26233 is divided by 2342.
471
What is the remainder when 10777794 is divided by 1197531?
15
Calculate the remainder when 47183337 is divided by 88524.
45
Calculate the remainder when 820654 is divided by 13909.
23
What is the remainder when 52731860 is divided by 2487?
2486
Calculate the remainder when 322198 is divided by 107042.
1072
Calculate the remainder when 187318 is divided by 80.
38
What is the remainder when 110352 is divided by 3942?
3918
Calculate the remainder when 3020030 is divided by 1509991.
48
What is the remainder when 4691409 is divided by 54?
51
Calculate the remainder when 587668 is divided by 2954.
2776
What is the remainder when 2232927 is divided by 395?
387
What is the remainder when 1029273 is divided by 325?
323
Calculate the remainder when 89530 is divided by 29656.
562
Calculate the remainder when 1824067 is divided by 67.
59
Calculate the remainder when 1002364630 is divided by 216.
214
Calculate the remainder when 205555 is divided by 25667.
219
Calculate the remainder when 838040877 is divided by 920.
917
What is the remainder when 148496 is divided by 37114?
40
Calculate the remainder when 69583121 is divided by 417.
416
What is the remainder when 536796 is divided by 1760?
1756
What is the remainder when 58634 is divided by 1110?
914
Calculate the remainder when 357999 is divided by 89354.
583
What is the remainder when 2916095 is divided by 1063?
286
Calculate the remainder when 16193186 is divided by 2.
0
Calculate the remainder when 930403 is divided by 310114.
61
Calculate the remainder when 18039 is divided by 2511.
462
What is the remainder when 59718270 is divided by 145?
20
Calculate the remainder when 2259858 is divided by 282411.
570
Calculate the remainder when 20546 is divided by 5464.
4154
Calculate the remainder when 471669 is divided by 951.
924
Calculate the remainder when 66468 is divided by 16500.
468
Calculate the remainder when 2372033 is divided by 360.
353
Calculate the remainder when 94742409 is divided by 5.
4
Calculate the remainder when 98471881 is divided by 49235930.
21
What is the remainder when 610487 is divided by 19076?
55
What is the remainder when 1451516 is divided by 120899?
728
Calculate the remainder when 43452 is divided by 10852.
44
What is the remainder when 505786 is divided by 4360?
26
Calculate the remainder when 11852498 is divided by 133174.
12
Calculate the remainder when 214399 is divided by 4.
3
Calculate the remainder when 395924639 is divided by 133.
131
What is the remainder when 3919764 is divided by 3919759?
5
Calculate the remainder when 114369 is divided by 1089.
24
What is the remainder when 23404 is divided by 22842?
562
Calculate the remainder when 83858 is divided by 148.
90
Calculate the remainder when 6506523 is divided by 2168838.
9
Calculate the remainder when 4451083 is divided by 6089.
24
What is the remainder when 156684 is divided by 113?
66
Calculate the remainder when 975024 is divided by 1738.
6
Calculate the remainder when 612145 is divided by 105.
100
What is the remainder when 34470269 is divided by 90?
89
What is the remainder when 134052 is divided by 44657?
81
What is the remainder when 36674626 is divided by 431466?
16
What is the remainder when 1592104 is divided by 5237?
56
Calculate the remainder when 2688502 is divided by 537698.
12
What is the remainder when 90823 is divided by 1536?
199
What is the remainder when 3524061 is divided by 28885?
91
What is the remainder when 631907 is divided by 4840?
2707
What is the remainder when 7101978 is divided by 49664?
26
What is the remainder when 27968964 is divided by 113?
108
What is the remainder when 16909134 is divided by 601?
600
Calculate the remainder when 1018421 is divided by 48496.
5
Calculate the remainder when 134288 is divided by 64211.
5866
Calculate the remainder when 44675651 is divided by 49.
48
Calculate the remainder when 234058 is divided by 42.
34
Calculate the remainder when 5664942 is divided by 71.
65
Calculate the remainder when 18083861 is divided by 70.
61
What is the remainder when 1357286 is divided by 74?
52
Calculate the remainder when 393204 is divided by 204.
96
Calculate the remainder when 866524 is divided by 41.
30
What is the remainder when 184955788 is divided by 50?
38
Calculate the remainder when 13201242 is divided by 1100103.
6
What is the remainder when 74755 is divided by 74564?
191
What is the remainder when 279487 is divided by 22845?
5347
What is the remainder when 386581 is divided by 83?
50
Calculate the remainder when 168809468 is divided by 416.
412
Calculate the remainder when 33077 is divided by 4008.
1013
Calculate the remainder when 1313365 is divided by 187557.
466
What is the remainder when 1752130 is divided by 584012?
94
Calculate the remainder when 7802560 is divided by 1950638.
8
What is the remainder when 8281926 is divided by 5503?
5414
What is the remainder when 255107 is divided by 6072?
83
What is the remainder when 21023912 is divided by 722?
716
What is the remainder when 522575 is divided by 261244?
87
Calculate the remainder when 1625359 is divided by 2746.
2473
What is the remainder when 52347747 is divided by 764?
759
What is the remainder when 2181807 is divided by 924?
243
What is the remainder when 21757 is divided by 3141?
2911
What is the remainder when 22183 is divided by 291?
67
What is the remainder when 37585060 is divided by 8275?
10
What is the remainder when 1244084 is divided by 148?
144
What is the remainder when 357635 is divided by 25527?
257
What is the remainder when 10931627 is divided by 43?
38
What is th | {
"pile_set_name": "DM Mathematics"
} |
What is the third biggest value in -1/6, 212, -1/9?
-1/6
What is the second smallest value in 1/6, 3, -2/5, -3?
-2/5
Which is the smallest value? (a) -0.1 (b) 2/11 (c) -6/11 (d) -23
d
Which is the smallest value? (a) -159 (b) 0 (c) 1/3
a
What is the smallest value in 0, -4, -34, 5?
-34
Which is the second smallest value? (a) -0.5 (b) -7/5 (c) 4
a
Which is the biggest value? (a) 0.02 (b) -222 (c) -2
a
Which is the second biggest value? (a) -4.3 (b) 4 (c) 0.4 (d) -1
c
Which is the second smallest value? (a) 5 (b) -3/2 (c) 0.07
c
Which is the third biggest value? (a) -1/4 (b) 2.08 (c) -5 (d) -1 (e) 4
a
Which is the smallest value? (a) 5 (b) -3 (c) -0.2 (d) 2
b
What is the smallest value in 3/5, -1/36, -3?
-3
Which is the third biggest value? (a) -0.1534 (b) 2/3 (c) 1/7
a
Which is the third smallest value? (a) 5 (b) -0.04 (c) -1 (d) 8/9
d
What is the fourth smallest value in 0, 1, -0.03, -7?
1
What is the smallest value in -3, 0.8, 7.2?
-3
What is the third smallest value in -5.6, -1, -5, 3?
-1
What is the second biggest value in -1/13, 27, -0.06, -0.4?
-0.06
What is the third smallest value in -1/3, 2, 3.32?
3.32
What is the biggest value in -4, 0.4, 5.53?
5.53
Which is the fifth smallest value? (a) 5/96 (b) -2 (c) -0.2 (d) 0 (e) -2/17
a
What is the second biggest value in 111, -1, -5, -0.1, -3?
-0.1
What is the fourth biggest value in -1/4, -3.9, -0.4, -0.08, 3?
-0.4
Which is the second smallest value? (a) 0.8 (b) -3 (c) -34/3
b
What is the biggest value in 4, 18, 5?
18
What is the fourth biggest value in -2/7, -0.2, 470, -5?
-5
What is the third biggest value in -3, 8, 20.2?
-3
Which is the second smallest value? (a) -4 (b) -0.1 (c) -68/3 (d) -3
a
Which is the fifth smallest value? (a) -3 (b) 1 (c) 4 (d) -0.7 (e) -1
c
What is the second smallest value in -5, 34, 0?
0
Which is the third biggest value? (a) 0 (b) 0.69 (c) 5 (d) 1 (e) -1/4
b
What is the third biggest value in 16, 1, 0.5, -83, -2/9?
0.5
What is the smallest value in -0.5, 3, 4, 1/5, -2/15?
-0.5
Which is the biggest value? (a) -2/19 (b) -3 (c) -0.2 (d) 0.4
d
What is the third smallest value in -6, -1.31, -3, 2/13, 1/3?
-1.31
What is the fourth smallest value in -3/10, 2/7, 0, -5?
2/7
What is the second biggest value in 2, -0.11, -1?
-0.11
Which is the fourth smallest value? (a) -56 (b) -10 (c) -2/3 (d) 2
d
What is the second smallest value in 2/3, 10, -0.5, 2?
2/3
What is the biggest value in 5, 4, 7, 0.1?
7
Which is the second biggest value? (a) 0.5 (b) -1 (c) 3 (d) 5 (e) -2
c
What is the third biggest value in 537, -2/5, -1/4?
-2/5
What is the third smallest value in 3, -2.2, 15, 2?
3
What is the third biggest value in 2, 1/9, 11?
1/9
Which is the fourth smallest value? (a) -1/6 (b) 4 (c) -2 (d) -86
b
What is the smallest value in 4/39, -2/7, -3/4?
-3/4
Which is the fourth smallest value? (a) -3 (b) -1.1 (c) 0.3 (d) -10
c
Which is the second biggest value? (a) -3 (b) 1.6 (c) 0.4
c
What is the third smallest value in 1/2, 18, 1, -4/3, 0.4?
1/2
What is the second biggest value in 1, -8, -4, -2?
-2
What is the second biggest value in 0.4, -0.17, -0.02?
-0.02
What is the second biggest value in -34, 0.1, -1, -4?
-1
What is the smallest value in -409, -0.3, -2/3?
-409
Which is the third smallest value? (a) -5.87 (b) -0.4 (c) -5 (d) 4
b
What is the biggest value in -0.07, -2/65, -0.5?
-2/65
What is the second smallest value in -6, 0.056, -4, 0?
-4
Which is the fourth biggest value? (a) 1/10 (b) 2/19 (c) 0.11 (d) 0.2 (e) -3
a
What is the second biggest value in 0, 56, 1, -2/7?
1
Which is the biggest value? (a) -4/5 (b) 5/4 (c) 1/2 (d) 1/3
b
What is the fourth biggest value in -1/3, -3, 1, 5, 7/16?
-1/3
What is the third smallest value in 1/3, -1/10, -1.29?
1/3
What is the fourth smallest value in 0, 2/9, 4, -11?
4
Which is the fifth smallest value? (a) -1 (b) -20/7 (c) 1/2 (d) -5 (e) 5
e
What is the second smallest value in -5, 107, 4?
4
Which is the third smallest value? (a) -2 (b) 2/3 (c) -1 (d) -9/4
c
What is the second biggest value in 1/3, -4/3, -3, -8?
-4/3
What is the third biggest value in -3/5, 2/9, -8.69, -5?
-5
What is the fifth smallest value in -2, -0.4, 6, 0.4, -5?
6
Which is the fourth smallest value? (a) -0.2 (b) -6 (c) -1 (d) -4
a
Which is the second biggest value? (a) -0.06 (b) -0.1 (c) -0.3 (d) -26
b
What is the fourth biggest value in -1/3, 0.3, -1, 1/44?
-1
Which is the fourth biggest value? (a) -2/45 (b) 2 (c) 0.04 (d) -0.4 (e) -3
d
Which is the fifth biggest value? (a) -4/3 (b) -0.4 (c) -0.2 (d) 0.3 (e) -5
e
What is the third biggest value in 9, 1, -2, 21?
1
What is the third biggest value in -0.3, -1/3, -2/323, 0.5?
-0.3
What is the smallest value in 18, -1, 12/131?
-1
Which is the biggest value? (a) 26 (b) -4/7 (c) 1/5 (d) 2/5
a
Which is the third smallest value? (a) 0.88 (b) 0.06 (c) 5/2
c
Which is the smallest value? (a) 5 (b) 12 (c) -3 (d) 0.1
c
What is the fourth smallest value in 0.2, -2/17, -3, -2?
0.2
Which is the second smallest value? (a) 6 (b) -2/7 (c) 3 (d) 0.12
d
What is the second smallest value in 0.026, 0.2, 2?
0.2
What is the fourth biggest value in 3/2, -2/13, 3/4, -2/9?
-2/9
What is the second biggest value in -2/3, 1/4, -0.3, 1/34?
1/34
Which is the fifth biggest value? (a) -1/3 (b) -2/27 (c) 2/11 (d) 1/6 (e) -0.04
a
Which is the third smallest value? (a) 5 (b) 0.4 (c) -11
a
What is the fourth smallest value in -2/13, -2.5, 3/5, 0.5?
3/5
Which is the biggest value? (a) -0.54 (b) 1/7 (c) 5/2 (d) -54/7
c
What is the second smallest value in -2, 164, -5?
-2
What is the third smallest value in 5, 15, -0.1?
15
Which is the biggest value? (a) 3/16 (b) -6 (c) -4/5
a
Which is the biggest value? (a) -2 (b) -0.5 (c) -4 (d) 7/6
d
What is the smallest value in -15/2, 3, 1?
-15/2
What is the third smallest value in 0.2, -14, 0?
0.2
Which is the second biggest value? (a) -0.2 (b) 2 (c) 3 (d) -4
b
Which is the biggest value? (a) -0.1 (b) -6 (c) -0.082
c
What is the third biggest value in -4, -19, 0.082?
-19
Which is the third biggest value? (a) 5/4 (b) -1.6 (c) 17 (d) 3 (e) -2/9
a
What is the second biggest value in -0.3, 11, -1/3, 2?
2
Which is the second biggest value? (a) -0.3 (b) -9 (c) -0.017
a
What is the second smallest value in -3, -1020, 0.4?
-3
Which is the third biggest value? (a) 0.05 (b) 2/13 (c) 3
a
What is the biggest value in -14, 7/4, 4?
4
Which is the third smallest value? (a) -5/3 (b) 1/3 (c) -238
b
What is the fourth smallest value in 1, -0.3, 0.3, -46?
1
Which is the smallest value? (a) 37 (b) -4 (c) 4/11
b
What is the third smallest value in 0.1, -2/3, -6.2?
0.1
What is the second biggest value in 1.6, 1.2, 57?
1.6
What is the third smallest value in 0.1, 2.5, -0.2?
2.5
What is the smallest value in -2/47, 0.3, 8?
-2/47
What is the second smallest value in 1.45, -37, -0.5?
-0.5
Which is the second smallest value? (a) -2/3 (b) 2 (c) -1.02
a
What is the third smallest value in -3, -5/16, -2/7, 0.9?
-2/7
Which is the second biggest value? (a) 5 (b) 9.02 (c) 4
a
What is the third smallest value in -0.1, -1, 1/7?
1/7
What is the second biggest value in 0.045, -1, -1/2?
-1/2
Which is the fifth biggest value? (a) -0.5 (b) 5 (c) 0 (d) 0.9 (e) 2/91
a
What is the fourth biggest value in 6/5, 1/6, 0.3, -22?
-22
Which is the biggest value? (a) -9 (b) 7 (c) -0.2
b
What is the third smallest value in -15, -3/2, -2/5, -0.5, 0?
-0.5
Which is the second biggest value? (a) 3/26 (b) -1 (c) 6
a
What is the fourth smallest value in -0.06, 0.4, -2/9, -2, 0.3?
0.3
What is the second smallest value in -5, 47/7, -0.01?
-0.01
Which is the third biggest value? (a) -2/9 (b) -4 (c) -0.04 (d) 316
a
Which is the biggest value? (a) -1/6 (b) 1 (c) -243 (d) 4
d
Which is the smallest value? (a) 0.11 (b) -3/5 (c) -18 (d) 2
c
What is the third smallest value in 11, -1/4, -13?
11
What is the second smallest value in -4, -2/3, 1/4, -112/15?
-4
Which is the second smallest value? (a) 9 (b) -3/10 (c) -1/4 (d) -0.4
b
Which is the third smallest value? (a) -0.3 (b) -6/5 (c) 24/7
c
Which is the biggest value? (a) 1/3 (b) -2/9 (c) 3 (d) -2 (e) 0.2
c
What is th | {
"pile_set_name": "DM Mathematics"
} |
/(24/(-10) - (-98)/245))?
23
-1 - ((-64)/14 - -2) - (-147 + 149)
-3/7
(((-7)/(-2))/1)/((-3)/(-6))
7
((-42)/22 - -2)/(117/(-234))
-2/11
Evaluate -4 + 52/1599*1467/12.
-1/41
What is the value of -1*(-25 + (-1136)/(-48))?
4/3
Evaluate 3060/(-85) - -73 - (1*11 - 1).
27
Evaluate ((-3891)/12970)/(2 - 14/10).
-1/2
What is ((322/35)/(-23))/(114/5)*-6?
2/19
What is ((-2786)/71043)/(2/24)?
-8/17
Evaluate ((-3)/36*-3)/(-2) - 636/(-3552).
2/37
Evaluate 2/28*8*9/(-24).
-3/14
What is (49 - -3)*(-5)/22 + 106/(-583)?
-12
What is the value of ((-43)/86*10*1)/1?
-5
What is the value of ((-152)/(-16) - 6)*-2 + 0?
-7
What is the value of ((-2173)/(-2460) + 2/(-40))/(200/32)?
2/15
What is ((-7)/8)/((-21)/168)?
7
What is the value of (-1 + 51)/((8/14)/((-66)/231))?
-25
Evaluate 1024/128*(79/(-260) + (-2)/(-5)).
10/13
(4 - 6)*6 - (-1892)/154
2/7
What is the value of (-2)/(18 + 6)*36?
-3
Evaluate ((-3782)/341 - -12)*1.
10/11
What is ((-1534)/(-87438))/((-2)/12)?
-2/19
What is (-272)/17 - ((-196)/(-42) - 1/(-3))?
-21
Evaluate (114 - 116)/(1/(-2)).
4
What is (-9)/171 + (-2176)/(-6688)?
3/11
Evaluate 4 - (-25 + 4 + 12).
13
What is 81/(-243) + ((-32)/18)/(-4)?
1/9
What is (-110)/(-33)*((-18)/30)/(10/(-25))?
5
What is 7/(-2)*(-66)/13475*-25?
-3/7
What is the value of (1786/(-282))/(4*1/12)?
-19
What is the value of 9/4 - (-8 + 13/4)?
7
Calculate (-588)/(-735) + (-5)/(60/8).
2/15
Evaluate (0 + (-18)/(-30)*-2)/((-33)/(-15)).
-6/11
What is (-45)/25*(4/26 + (-993)/117)?
15
What is -27*24/(-756)*7?
6
Evaluate (-4)/(-6)*81/(-18).
-3
What is (-6)/8 + (-2401)/(-140) + -14?
12/5
Evaluate (-176)/870 + 860/(-300) + 6 + -3.
-2/29
8*(-2)/(-6)*(142/24 - 6)
-2/9
What is (-6)/108*3*(2295/120)/(-17)?
3/16
Evaluate ((1 - -1) + -4)*-3*1/(-1).
-6
Evaluate 140/336*8/(-60).
-1/18
What is the value of (-405)/55 - (-54)/(-33)?
-9
Calculate (-1 - (-3)/(-5))*(-5300)/19080.
4/9
What is the value of 6 + -2*-2*1*18/(-36)?
4
What is (-6)/10 + 6786/585?
11
Evaluate (34/(-5) - 0)*18870/(-7548).
17
What is -16 + (-14)/(21/48*-1)?
16
What is the value of -16 + -1 + 49 - 32?
0
Calculate 3/(5*(-18)/360).
-12
What is the value of 3/12 - (-188)/16?
12
Evaluate (130/(-25) - -4)/((-13)/(1625/40)).
15/4
What is -104 + 105 - (-5)/(-4)?
-1/4
Calculate 1*7/(-245)*-7*2*1.
2/5
Calculate -15*(-1190)/(-1050) + ((-2)/2 - 3).
-21
Calculate 34/170 - 4/5.
-3/5
((-89)/445)/(17/5)
-1/17
Evaluate 2*((-12)/20)/((-56)/(-420)).
-9
What is the value of 126/9 + -30*13/39?
4
What is 11920/660 - (-8)/(-132)?
18
Calculate 21/56 + (-88)/64 + 20.
19
((-56)/154)/((-4)/(-2))
-2/11
(1/3)/(819/702)
2/7
What is ((-6)/(-12)*-1)/((-39)/24)?
4/13
8/(-68) + (-534)/(-204)
5/2
Calculate (-150)/(-672) - 3/(-48).
2/7
144/(-120) + 64/70 + 37/7
5
What is (-1352)/1690 + (-16)/30?
-4/3
Evaluate (1/9)/((-13)/39)*27.
-9
(41*14/1148)/(2/(-34))
-17/2
What is the value of (-13)/1*(-89)/89?
13
Calculate (((-16)/(-80))/((-3)/20))/(8/(-6)).
1
(-24 + 855/38)/(2/12)
-9
What is 2*5 - -13*(-375)/195?
-15
What is the value of (735/30)/49*30?
15
What is the value of 153020/(-31500) - (0 + -5) - (-2)/(-9)?
-2/25
What is the value of ((-1002)/129258)/((-2)/12)?
2/43
Calculate 2/(468/(-360)*8/26).
-5
Evaluate (1 - 2)/(2052/18684) - -9.
-2/19
86/(-352) + (-37 - 593/(-16))
-2/11
What is the value of 56/2 - (-185075)/(-6600)?
-1/24
Calculate 4 + (-765)/36 - 10/(-8).
-16
What is the value of (-3 - (-33)/9)/(8*42/72)?
1/7
Calculate (-1)/((-10)/(-297)*-6 + (-26)/(-234)).
11
Evaluate (-204)/(-21) - (-450)/(-45).
-2/7
What is the value of 40/(-6)*(-1014)/845?
8
Calculate 1*-3 - 0/115.
-3
(-6)/21 + -2 - (-130)/455
-2
What is the value of -6 + 8 + (14/(28/(-18)) - 9)?
-16
What is the value of (12 + -14)/(20/(-90))?
9
Evaluate -7 + 21 + 4256/(-308).
2/11
Calculate (477/(-108) - -5)*(-64)/(-168).
2/9
(-10 - (-56)/6)/((-22)/18 - -1)
3
What is 6/(5/(-15)*-18) + -19?
-18
7/2 - (-23 + 27)
-1/2
(-3 - 98/(-8) - 9)*88/495
2/45
Evaluate ((-98)/(-21))/7 + (-24)/30.
-2/15
8/18 - ((-595)/(-532))/((-243)/(-108))
-1/19
What is ((-320)/450 - 3) + 182/70?
-10/9
What is -6*(88/(-6) + 14)?
4
Evaluate ((-4)/(-14))/(16/12*132/(-154)).
-1/4
What is the value of -2*(-2)/(-34)*(14 - 775/62)?
-3/17
What is the value of ((-2)/(-20))/(-8 + (-2440)/(-300))?
3/4
What is the value of ((-714)/35 - -5) + 24/(-40)?
-16
What is (-24)/((-15 - -4) + (247/26)/1)?
16
(-2195 - -2159)*(1 - (-22)/(-18))
8
Evaluate 5/(-3) - ((-108205)/43890 + (-1)/(-14)).
8/11
(11/(77/(-28)))/(200/850)
-17
Calculate -4*(-115)/(-138)*2/(-70).
2/21
What is (132/99)/((-8)/(-150))?
25
What is (-54)/60*((-10)/36)/((-4)/12)?
-3/4
What is 16/5*(11 + -5 + -1)?
16
Calculate ((108/24)/((-45)/12))/((-2)/10).
6
Evaluate (665 - 673)*1/(-4).
2
What is the value of 17/(136/(-18)) + 2?
-1/4
What is the value of (-126)/56*(-9)/27?
3/4
What is the value of (-11 + 26 - 18)*-6*(-6)/(-27)?
4
What is the value of (-4)/(-42) - (-4396)/147?
30
Evaluate (-2)/(108/(-15)) - (9696/(-216) - -45).
1/6
75/(-1250)*10*1*-1
3/5
Evaluate (-20)/(5*(-152)/950).
25
Evaluate -68*(630/(-1800) + (-6)/(-10)).
-17
(-32496)/336 - -79 - (-4)/(-14)
-18
(-212)/96*-4 + 5 + -15
-7/6
Evaluate (6/(-12) - 3)*-2*(-4)/(-4).
7
What is the value of 7/665*(90/165 - 427/77)?
-1/19
(-14)/4*(5 - 1 - 52/7)
12
What is 2 - (177/590 - (-354)/220)?
1/11
What is (-98)/(-833) + ((-670)/(-85) - 3)?
5
Calculate 1*(54/15)/(198/(-135)) + 3.
6/11
Calculate (-1 - -20)/19*7 + (-4 - 0).
3
What is (-88)/(-10) - (-41 + 47)?
14/5
What is the value of (-4700)/1410 - (-182)/51?
4/17
Calculate (-1767)/171 - (-368)/(-48).
-18
Calculate (-70)/124 - 7/28 - 21/(-28).
-2/31
What is (-2)/15 + (8456/(-60))/(-7)?
20
What is the value of (1240/36890)/((-2)/(-14))?
4/17
What is the value of 4698/(-189) - (-1 - -1) - (-2)/(-14)?
-25
Evaluate (-144)/(-276)*2898/(-84).
-18
Calculate (-21)/(126/20)*(-10)/10.
10/3
What is the value of -4*((-14)/28)/(10/(-11) + 1)?
22
Evaluate (((-1460)/58)/5 - -5)/(2 + -1).
-1/29
Evaluate 17 + (-720)/(-384)*-8.
2
What is (-664)/36 - 103/412*(-16)/9?
-18
Calculate (165/110)/((-1)/(-6)).
9
What is the value of (2/(-8))/(22/33)?
-3/8
What is (7/21)/(208/24 - 10/2)?
1/11
Evaluate (-3492)/(-2970) + (-68)/255.
10/11
((-10)/40*-3)/((-81)/(-84) + -1)
-21
What is the value of (-6)/(11/9 - (-14)/567*-9)?
-6
100/(-425)*-17*(-1)/316*2
-2/79
Calculate (-14 - -564)/(-55)*10/(-4).
25
Evaluate ((-6)/2)/(195/715) + -14.
-25
Calculate (-1)/8 + 2/(-16) + (-2183)/148.
-15
What is (-724)/52 + 17/(-221)?
-14
What is 2*(-2)/(-4) + (-3737)/3939?
2/39
What is the value of -1*(-38)/209 - (-266)/(-11)?
-24
What is ((-1661)/165 - -10)/(-1)?
1/15
What is (2970/(-369) - -8) + 3325/5125?
3/5
Evaluate -20 + (19 - (12 - 18)).
5
((-12)/(-759))/((-12)/(-66))
2/23
(3036/(-66) + 48)/(2/16)
16
What is (-362)/20 - (-7)/(-8 - -78)?
-18
Calculate ((-1)/(-198)*2)/(26/(-29 + 185)).
2/33
Evaluate 320/(-350) + (-16 - 1760/(-112)).
-6/5
Calculate 42 + 28*(10/(-4) - -2).
28
What is ((-1)/2)/(282/9024)?
-16
What is ((-190)/(-133)*42/(-24))/((-6)/(-4))?
-5/3
Evaluate ((-712)/(-48))/((-102)/(-136)) + 2/9.
20
Calculate (3843/244)/((-27)/(-12)).
7
What is the value of (-1 - 0)/(-1) - (60/(-6) - -14)?
-3
Evaluate ((-1224)/(-120) + -10)*1*7.
7/5
Evaluate 1/(-10) - (-333)/370*(-2)/(-3).
1/2
Calculate 46/(-92)*16/112.
-1/14
Calculate 11*14/5005*1*5*1.
2/13
What is 4/18 - (-534)/(-15)*160/2304?
-9/4
Evaluate (6/200)/((-102)/(-272)).
2/25
Evaluate (-2538)/2808 - (-15)/20.
-2/13
Calculate (44/12 + 8/6)/1.
5
What is the value of (2/(-6))/(304 + -311)?
1/21
2/3*(-4800)/100
-32
Calculate (-8)/104 + (-6 - 737/(-117)).
2/9
Calculate ((-14)/(-18))/(1036/(-888)) - 8/(-6).
2/3
What is (60/135)/(2/(-117))?
-26
Calculate ((3*6/16)/2)/3.
3/16
What is 39420/(-7300)*(-40)/18?
12
What is (26 - (-36)/(1296/(-882)))*20/9?
10/3
24/90*(0 + 45/40)/6
1/20
What is (-2)/(-28) + 11745/(-378) + 32?
1
Evaluate (-25)/((-1050)/(-189)) + 2/4.
-4
Evaluate 1*17 + 5508/1377.
21
Calculate 90/4*1092/180180.
3/22
What is 23 + 7/(-5)*((-30)/(-3) + -5)?
16
(4/65)/(160/1200)
6/13
((-4)/14)/(12 + 747/(-63))
-2
Calculate 85/(10 + 7) - 21.
-16
What is the value of 0*(-11 + (-702)/(-65))?
0
(-16)/3 + 23/23*65/13
-1/3
What is 2*(((-24)/5)/((-42)/105))/2?
12
Calculate (1652/(-833) + 6/3)/(48/112).
2/51
Calculate 1934/(-185) + 11 + 9/(-15).
-2/37
1 + 91/21 - 41/(492/(-8))
6
What is 12 - (-5 + | {
"pile_set_name": "DM Mathematics"
} |
et v(k) = -k**2 + 5*k + 1. Let x be v(4). Suppose z = 4*z. Suppose 2*h - 32 = 4*w, 23 = 2*h - w - 0*w. Solve -h = x*d - z for d.
-2
Let d(s) = 3*s - 4. Let m be d(2). Solve 0 = m*x - 0 + 8 for x.
-4
Suppose 0 = 2*q - 13 + 5, 5*q - 14 = y. Solve 0 = l + y - 8 for l.
2
Let d be -1 + (-6)/(-1 - 0). Suppose -4 - d = -3*l. Suppose -l*r = 2*r - 20. Solve 5 = -3*h - r for h.
-3
Suppose 3*c - 10 = -4. Solve c*w - 1 = -9 for w.
-4
Let l be ((-4)/8)/((-2)/8). Solve -9 + 1 = l*a for a.
-4
Suppose 3*s + 46 = 4*g + g, -4*s - 8 = 0. Suppose 0*w = 4*w - g. Let m = 0 + w. Solve 0*d = -m*d + 8 for d.
4
Suppose 4*x - 3*x - 5*j = 1, 0 = -x - 4*j + 19. Solve 0 = 5*z - 4 - x for z.
3
Let o be (-52)/(-6) - 8/12. Suppose -3*f = -1 - o. Let j = -29 - -48. Solve j = -4*q + f for q.
-4
Suppose -4*l + 20 = -3*x, 2*l - 4*x = 14 - 4. Let h = l + -2. Solve 2 = -h*o + o for o.
-1
Let q(r) = r**3 - 6*r**2 + 5*r + 4. Let v = 11 - 6. Let s be q(v). Suppose 0 = 5*p - s*y, 3*p = -0*y - 5*y. Solve j + j + 6 = p for j.
-3
Suppose 4*x = 4*b + 68, -4*b = 3*x - 22 - 15. Solve 0 = 4*a - x + 3 for a.
3
Let p(i) = -i**2 - 10*i - 5. Let j(t) = t**2 + t. Let s(a) = 3*j(a) + p(a). Let b be s(6). Suppose 2*u - 3*u + b = 0. Solve x = -4*x - u for x.
-5
Let h = 24 + -21. Let w be (4 - (4 - h)) + 2. Solve 0 = -w*f + 5 for f.
1
Suppose -3*q - 7 = -10. Let g(w) = -q - 13*w + w**2 + 14*w + 4. Let b be g(0). Solve o + 8 = -b*o for o.
-2
Suppose 8*y = 12*y - 20. Suppose 0 = -4*f - 3*l - l + 4, 5*f - 50 = 4*l. Suppose y*p = 4*t + f, 2*t - 4*p + 9 = 3*t. Solve 0 = z + t for z.
-1
Suppose -2*y - 5*l - 1 = -0, 2*y - 8 = 4*l. Suppose y + 7 = 3*i. Solve 10 = i*c - 2 for c.
4
Suppose -18*t + 10*t + 32 = 0. Solve c - 3*c - t = 0 for c.
-2
Let p be (4 - -1)/(-1 + -1 + 3). Solve -p*u - 1 + 11 = 0 for u.
2
Suppose 11*g - 21 = 8*g. Let x = g - 7. Solve 5*p - p = x for p.
0
Let t(v) = v + 14. Let l be t(-9). Suppose -6 = -7*m + l*m. Solve m*z - 1 = 11 for z.
4
Let f(u) = -11*u - 40. Let a be f(-4). Solve a*b + b = -15 for b.
-3
Let n(y) = -y**3 + 4*y**2 + y + 1. Let h be n(4). Let d be h/(-10)*1*2. Let z = -1 - d. Solve 3*u = -z*u for u.
0
Suppose 4*f - 2*m + 7 = 7*f, -2*f - 2*m = -2. Suppose 0*b = -4*b + 2*d + 8, 5*d = -f*b + 40. Solve 0 = -b*g + 7 + 5 for g.
3
Let j = -161 - -171. Solve 3*i = j - 13 for i.
-1
Let r = -15 - -13. Let n be (r + 2)/(-3 - -5). Solve m + 5 - 10 = n for m.
5
Suppose -t + 6*t = -t. Solve -5*s + t*s + 15 = 0 for s.
3
Let k(g) = -g**3 + 14*g**2 + 15*g + 4. Suppose -39 = -3*t - z + 4*z, 3*t - 37 = 4*z. Let l be k(t). Suppose 0*b = -5*b + 20. Solve b*a + l = -0 for a.
-1
Let j be (12/42)/(1/7). Solve 0 = 7*t - j*t + 20 for t.
-4
Let f(i) = -2*i. Let w be f(-2). Suppose -p + w = -0*p. Solve 3*z = p*z - 4 for z.
4
Suppose 0 = -3*z - 5*j + 10, 2*z - 8 - 8 = -j. Solve 0 = 3*q - q + z for q.
-5
Let o = 82 - 74. Solve 0 = 3*s - o - 7 for s.
5
Suppose 0*m + 3*m = 0. Suppose -8*o + 3*o + 40 = m. Suppose -3*n - o = -4*n. Solve 0*s = -2*s - n for s.
-4
Let k(t) = 3*t + 38. Let l be k(-10). Solve 0 = 5*m + 2 + l for m.
-2
Let r = -2 - -2. Let a(k) = -k**3 + 5*k**2 + 3*k + 2. Let i be a(5). Suppose 4*s = 3*b + 5*s - i, s - 5 = 0. Solve 4*c = -r + b for c.
1
Let b = -34 - -38. Solve -a - b*a = 0 for a.
0
Let f be (4/(-2))/(14/(-35)). Let g be (-1)/2 - (-5)/2. Solve w + g = f for w.
3
Let i = -8 + 15. Suppose -j = 3 - i. Solve 6 = k - j*k for k.
-2
Let h(a) = a - 1. Let i be h(-5). Let k be ((-2)/6)/((-2)/i). Let z = 4 + k. Solve -2*l - 20 = z*l for l.
-4
Suppose 0 = 4*g + 4*r - 52, -4*g - g - r = -45. Let t = 3 + -3. Suppose 20 = 5*f - 5*x, 5*f + 2*x - x - 14 = t. Solve f*d - g = d for d.
4
Suppose 2*m - 5*x - 17 = 3*m, 3*x = 3*m - 21. Let v be (-10)/(-4) + m/6. Let h = -13 + 13. Solve -v*n = -h*n for n.
0
Let a(b) = 6*b - 1. Let s be a(-1). Let g be (6 + s)*(0 - 5). Solve g = 2*q + 15 for q.
-5
Suppose -w = 4*l - 4*w - 77, -5*l + 3*w + 94 = 0. Let o(v) be the third derivative of v**4/24 - v**3/3 + v**2. Let y be o(4). Solve -y*k - l = -7 for k.
-5
Let q(i) = i**2. Let y be q(1). Let j(f) = f**2 - 2*f - 1. Let a be j(3). Solve y - a = -l for l.
1
Let x(p) = p**3 - 5*p**2 + 2*p + 1. Let h be x(4). Let l = h - -7. Suppose l = 2*v - 4*v + 2. Solve -i = -v - 4 for i.
5
Let s = -53 - -57. Solve -4*z + s = 24 for z.
-5
Let y(j) = j**2 - 5*j + 3. Let k(d) = d + 10. Let i be k(-6). Let v be y(i). Let z be 4 + v - (2 + -2). Solve 0 = -w - 1 - z for w.
-4
Let c = -36 + 48. Solve -2*u - c = u for u.
-4
Let d be -6 - -4 - (-1 - 1). Let z(h) = -h**2 + 6*h - 5. Let c be z(5). Solve c = -d*q + 5*q - 15 for q.
3
Suppose 3*c - 33 = 4*x, 2*c - 2*x - 9 = 13. Solve -4*h - 27 = -c for h.
-4
Let a(j) = 2*j - 1. Let i be a(3). Solve -2 + 7 = i*w for w.
1
Suppose 1 - 11 = -2*w. Let x(t) = -t**3 + 4*t**2 + 5*t + 2. Let u be x(w). Solve b = -b + u for b.
1
Suppose -10 = -y - 1. Let s = -1 - 1. Let a be s/6 + (-13)/(-3). Solve y*c = a*c for c.
0
Let s be (-10)/2*6/(-5). Suppose 3*u - j = -3*j + 16, -5*j = u - 14. Suppose 5*z + 0*z = u*l - 45, 0 = -4*z - 20. Solve s*o - l = o for o.
1
Let z(l) = -l**2 + 8*l + 9. Let j be z(7). Solve 5*g = j + 9 for g.
5
Let g = 6 + -5. Let f be 3/(0 - 3) + g. Solve f = 6*v - v - 10 for v.
2
Let y(a) = -a**2 - 6*a - 3. Let r be y(-5). Solve j + 12 = -r*j for j.
-4
Suppose 2*g = g - 4*q + 8, 3*g = 3*q - 36. Let x = 10 + g. Solve -2 = x*z - 3*z for z.
2
Let h(m) be the second derivative of -m**4/12 + m**3/6 + 2*m**2 - m. Let g be h(0). Let u be (g - 4)*2/(-4). Solve u*y = -y for y.
0
Let z be 3/45*6*20. Solve -p = -6 + z for p.
-2
Let j be (1 - 1)/(0 + 1). Let a(z) = z + 2. Let g be a(2). Solve -g*v + j*v = 8 for v.
-2
Let r be (-9)/12 + 12/16. Solve r = 5*t + 10 + 5 for t.
-3
Suppose 0 = -0*h + h + 2. Let n be (-352)/(-36) - h/9. Let u be (-28)/(-10) + 2/n. Solve b + 8 = u*b for b.
4
Let k(s) = -8*s + 36. Let w be k(4). Solve 3 = -w*z - 17 for z.
-5
Suppose -4 + 20 = 2*v. Solve 0 = 3*i + 1 + v for i.
-3
Suppose -3*v - 21 = -111. Let f(d) = -d**3 - d**2 - 2. Let q be f(0). Let n = -2 - q. Solve 5*s - 5 + v = n for s.
-5
Let j be 4 + (2 - (5 + -2)). Suppose 0 = -j*a - 3, -3*d - 14 = -5*d + 2*a. Solve 0 = g - 4*g - d for g.
-2
Suppose -2*u = 4*u - 12. Solve 0*s = -u*s + 4 for s.
2
Let s(n) be the first derivative of n**3/3 + 2*n**2 - 8*n - 1. Let b be s(-6). Suppose -3*v + 10 = -2. Solve 8 + b = v*k for k.
3
Let x be (2/4)/(4/(-24)). Let c = 1 - x. Let m be ((-12)/(-10))/(c/10). Solve -i + m = 6 for i.
-3
Let v be 3 - (0 - (0 + -2)). Suppose -q - v = -2*q. Solve -t - q = -6 for t.
5
Let f be 5/15*1*18. Let m(c) = c**2 - 7*c + 6. Let g be m(f). Solve g = r - 5*r - 12 for r.
-3
Let i = 176 + -176. Solve i = -0*j - 2*j for j.
0
Let t = -57 + 106. Suppose -1 = -2*f + t. Suppose 0 = 3*b - 8*b + f. Solve -s = -b*s for s.
0
Let f(s) = s**2 + 5*s + 7. Let j be f(-4). Solve -z = j*z - 4 for z.
1
Let q = 4 + -1. Let m = 25 - 13. Let l = -9 + 15. Solve -q*s + m = -l*s for s.
-4
Suppose m + 10 = 3*k, -2*k + 0*k - 3*m + 3 = 0. Let f = k - 2. Let c be f/((-2)/4)*-1. Solve -c*t = 3*t for t.
0
Suppose 0 = 8*x - 6*x. Suppose 4*s = -5*g - 24 - 47, -5*g + 5*s - 35 = 0. Let p = x - g. Solve -4*d + 31 - p = 0 for d.
5
Let p be (-28)/42*9/(-2). Solve 2 = -r + p for r.
1
Let s(p) = -p**3 + 8*p**2 - p + 13. Let r be s(8). Solve -r*k = -1 - 19 for k.
4
Let f = 18 + -12. Solve -f*s + 5 = -s for s.
1
Suppose 4*p = 3*t + 10, 0 = t - p + 2. Suppose -t*j + 2 + 6 = 0. Solve j = -3*z - 2 for z.
-2
Let a = -63 + 68. Solve -a*p = -3*p - 8 for p.
4
Let p(i) = -2*i - 5. Let o be p(-4). Suppose 0 = -2*l + o*l. Solve 4*d + 5 + 15 = l for d.
-5
Suppose 9 = 5*l - 1. Suppose 0 = -5*s - 61 + 61. Solve -5*b + l*b = s for b.
0
Suppose 0 = 4*a - z + 15, 0 = 3*a + 2*z - 6*z + 8. Let o be a/(-2)*-1 - -9. Solve -3 = 2*x + o for x.
-5
Suppose 0*g - 24 = -4*z + 4*g, 3*g = z - 2. Suppose -12 = a + 3*y - 3, -z = 2*y. Suppose 0*t = a*t. Solve t*s = -4*s - 8 for s.
-2
Let t = 139 - 139. Solve -m - 3 + 0 = t for m.
-3
Let m be ((-6)/9)/(1/(-3)). Suppose 3*z + x - 5 = -x, 4*z + m*x - 8 = 0. Solve -2*g + 5 = -z for g.
4
Let w be -1 - (2 - 1)*-5. Solve -o = -3*o - w for o.
-2
Let y = 4 + 1. Suppose -33 = -2*r + 5*a, -3*a - y = 5*r + 2*a. Solve w - r = -w for w.
2
Let q = 19 + -10. Suppose -4*g - 2*o = -q*g - 12, -4*o + 4 = -5*g. Let m = g + 12. Solve | {
"pile_set_name": "DM Mathematics"
} |
-4, -65, 1 in decreasing order.
1, -4, -6, -65
Sort -1, -8/9, -20, -0.1, 3 in ascending order.
-20, -1, -8/9, -0.1, 3
Put 4, -5, -714 in increasing order.
-714, -5, 4
Sort -1, -1/9, -8 in decreasing order.
-1/9, -1, -8
Put -16, 10, 2, 0, -2 in ascending order.
-16, -2, 0, 2, 10
Sort 36, -2, 0, -3, 2/31.
-3, -2, 0, 2/31, 36
Put 1/2, 5, 6, -2 in decreasing order.
6, 5, 1/2, -2
Put 0, -33, -4, 2 in descending order.
2, 0, -4, -33
Sort 1, 10, -4, 4 in increasing order.
-4, 1, 4, 10
Sort 1, 30, 47 in increasing order.
1, 30, 47
Sort -5, 50, 0 in decreasing order.
50, 0, -5
Put -22, 0, 2, 1, -27 in decreasing order.
2, 1, 0, -22, -27
Put -9, 1, -53 in decreasing order.
1, -9, -53
Sort -17.4, 0.3, 2/5, 0 in decreasing order.
2/5, 0.3, 0, -17.4
Sort 10, 58, 4.
4, 10, 58
Sort -2, 4, 2, -3 in increasing order.
-3, -2, 2, 4
Put -31, -2, 0 in increasing order.
-31, -2, 0
Sort -2/3, 0.09, 2, -3/11, 0.5 in ascending order.
-2/3, -3/11, 0.09, 0.5, 2
Sort 0, 5, 10, 1, -3.
-3, 0, 1, 5, 10
Sort 1, 2/17, 4, -4, -0.5 in increasing order.
-4, -0.5, 2/17, 1, 4
Sort -113, 22, -4/7 in ascending order.
-113, -4/7, 22
Put 4, 21, 8, -1, 1/10 in decreasing order.
21, 8, 4, 1/10, -1
Put 4, -2, -3, -1 in increasing order.
-3, -2, -1, 4
Sort -2, -3, -210 in decreasing order.
-2, -3, -210
Put -16, -13, 2/11 in decreasing order.
2/11, -13, -16
Sort -17, -11, -2.
-17, -11, -2
Put -5, -0.1, 2, -32 in descending order.
2, -0.1, -5, -32
Put 1, -4, 157, -2, 0 in descending order.
157, 1, 0, -2, -4
Sort -5, 191, -1/3, 3/4 in decreasing order.
191, 3/4, -1/3, -5
Put 0.5, 0, -1/3, 125 in decreasing order.
125, 0.5, 0, -1/3
Sort -0.1, -1, -4/5, 18, 4.
-1, -4/5, -0.1, 4, 18
Put -5, 3, -3, -81 in descending order.
3, -3, -5, -81
Sort 4, -63, 1 in ascending order.
-63, 1, 4
Put 2/13, 2/11, 2/21 in increasing order.
2/21, 2/13, 2/11
Put 0.1, 2/21, -0.03, 2/3, 5/2 in decreasing order.
5/2, 2/3, 0.1, 2/21, -0.03
Sort -3, -20, -5.
-20, -5, -3
Put -5, 1/7, -1.97 in ascending order.
-5, -1.97, 1/7
Sort 1.51, 0, 2 in ascending order.
0, 1.51, 2
Sort 0.2, 766, 5 in ascending order.
0.2, 5, 766
Sort -3/2, 68, 0.5, -3 in ascending order.
-3, -3/2, 0.5, 68
Sort 5, 2/37, 3, -0.5 in decreasing order.
5, 3, 2/37, -0.5
Put 36, -1, -2 in increasing order.
-2, -1, 36
Sort -1/3, 2958, 2.
-1/3, 2, 2958
Put -21, -5, 0, -3, 11 in decreasing order.
11, 0, -3, -5, -21
Put -0.1, 26, 0.4, -7, -1 in decreasing order.
26, 0.4, -0.1, -1, -7
Sort 1, 4, -1, -131, 0 in descending order.
4, 1, 0, -1, -131
Put 5, 4, 3, -10 in descending order.
5, 4, 3, -10
Put 0, -9, -4 in ascending order.
-9, -4, 0
Sort -0.3, -0.5, -0.129, -2.
-2, -0.5, -0.3, -0.129
Put -23, 4, 0, 5, -1 in descending order.
5, 4, 0, -1, -23
Sort -4, -62, 5, 7, 0 in descending order.
7, 5, 0, -4, -62
Put -1/2, 0.1, 435, -0.2, 0.5 in decreasing order.
435, 0.5, 0.1, -0.2, -1/2
Sort 7, 0, -9.
-9, 0, 7
Sort -1/3, 0.5, 0.09, 2/7, -32 in ascending order.
-32, -1/3, 0.09, 2/7, 0.5
Put 1, 2/3, -1 in increasing order.
-1, 2/3, 1
Put -8, 0.7, -4, 0 in descending order.
0.7, 0, -4, -8
Put 2, -6, 1, 3 in decreasing order.
3, 2, 1, -6
Put 860, -1, -2, 0, -4 in decreasing order.
860, 0, -1, -2, -4
Sort 1, 0, -2, 6 in ascending order.
-2, 0, 1, 6
Put -7, -1, -3, -200 in descending order.
-1, -3, -7, -200
Sort -5, -8, 2, 4 in ascending order.
-8, -5, 2, 4
Put 22, -5, 17, -4, 2 in decreasing order.
22, 17, 2, -4, -5
Put 4, -8, 6, -5 in descending order.
6, 4, -5, -8
Sort 2/9, 2, 0.3 in increasing order.
2/9, 0.3, 2
Sort -5/3, 8, 2 in increasing order.
-5/3, 2, 8
Put -5, -4, 2, 60 in increasing order.
-5, -4, 2, 60
Sort -7/6, -9, 3, 5 in increasing order.
-9, -7/6, 3, 5
Sort -4, -12, 98 in descending order.
98, -4, -12
Sort -8, 7, -2 in increasing order.
-8, -2, 7
Sort 0.12, 1/2, -4 in decreasing order.
1/2, 0.12, -4
Put -1, -2, -0.114, 0.2 in decreasing order.
0.2, -0.114, -1, -2
Put 2677, 0, 0.3, 3 in decreasing order.
2677, 3, 0.3, 0
Put 0, 1, -3, 754 in increasing order.
-3, 0, 1, 754
Sort -1, 2, -2, 20.
-2, -1, 2, 20
Sort 4, -5, 5, -2, -12 in ascending order.
-12, -5, -2, 4, 5
Sort 3/49, -3/5, -1, 3, -4.
-4, -1, -3/5, 3/49, 3
Sort -16, 5, -5 in decreasing order.
5, -5, -16
Put 1, -3/1324, 2/17 in decreasing order.
1, 2/17, -3/1324
Sort -12, 4, 0.1, 2.
-12, 0.1, 2, 4
Sort 3, 12.6, 4, 0.3 in decreasing order.
12.6, 4, 3, 0.3
Sort 5, 12, 3, 70, -1 in increasing order.
-1, 3, 5, 12, 70
Put 0, -39/5, -4, -3 in descending order.
0, -3, -4, -39/5
Sort 3, -156, 2, 5, -3 in descending order.
5, 3, 2, -3, -156
Sort 101, 0, -5 in descending order.
101, 0, -5
Put -3, 5, 2, -36, -5 in ascending order.
-36, -5, -3, 2, 5
Sort 259, -3, 4.
-3, 4, 259
Put -0.71, 0.4, 8, 1/3 in ascending order.
-0.71, 1/3, 0.4, 8
Sort 31, 1, -3, -7, -1 in descending order.
31, 1, -1, -3, -7
Sort -0.1, 0.048, 0.1 in ascending order.
-0.1, 0.048, 0.1
Sort -1/2, -606, -2/9, 2, -5.
-606, -5, -1/2, -2/9, 2
Put -2, 1/2, -11/12, -4, 5 in descending order.
5, 1/2, -11/12, -2, -4
Sort 5, -5, -0.0733, 4 in descending order.
5, 4, -0.0733, -5
Put 5, -46, 6, -5 in increasing order.
-46, -5, 5, 6
Put 52, -5, 4, 3 in descending order.
52, 4, 3, -5
Put 2/9, 0.05, -2.1 in descending order.
2/9, 0.05, -2.1
Sort 0.4, -2690, 0.3 in increasing order.
-2690, 0.3, 0.4
Sort -3, -2, 4, 34.
-3, -2, 4, 34
Put 7, -5, 25 in ascending order.
-5, 7, 25
Sort 0.4, 3, 11, 1 in ascending order.
0.4, 1, 3, 11
Sort 1, -10, -6, 5 in descending order.
5, 1, -6, -10
Sort -2, -22, 2 in ascending order.
-22, -2, 2
Put -29, -22, -10 in descending order.
-10, -22, -29
Sort 78, 0, -1, -3.
-3, -1, 0, 78
Sort 4, -4, 13.
-4, 4, 13
Sort -2, -67, -1.
-67, -2, -1
Put 0.049, -5, -24, 4 in descending order.
4, 0.049, -5, -24
Sort 18, 0, 5 in ascending order.
0, 5, 18
Sort -3/8, -14, 1.2 in descending order.
1.2, -3/8, -14
Sort 0, -2/9, -1/17 in increasing order.
-2/9, -1/17, 0
Sort 5, 5/31, -0.4, -3/4 in increasing order.
-3/4, -0.4, 5/31, 5
Sort -636, 0, -4 in increasing order.
-636, -4, 0
Sort -3, 2, 244 in decreasing order.
244, 2, -3
Sort -0.1, -4, 1/7, 1/9, 0.6 in decreasing order.
0.6, 1/7, 1/9, -0.1, -4
Put -1/7, 3/2, 2/7, 5 in increasing order.
-1/7, 2/7, 3/2, 5
Put -90, 0.1, 1/5, 1/6 in decreasing order.
1/5, 1/6, 0.1, -90
Sort 1, 0.2, -45, -0.1 in decreasing order.
1, 0.2, -0.1, -45
Sort -5, 9, -4, -1.
-5, -4, -1, 9
Sort 42, -17, -5 in descending order.
42, -5, -17
Put 47, 4, 2, 8 in increasing order.
2, 4, 8, 47
Put -5, -3, -1, 3 in decreasing order.
3, -1, -3, -5
Put -4/7, -24, -1/6, 3 in ascending order.
-24, -4/7, -1/6, 3
Put -10, -9, 0.3, 2 in decreasing order.
2, 0.3, -9, -10
Put 6, -2, -5, -11 in decreasing order.
6, -2, -5, -11
Sort -14, -2/17, -0.9.
-14, -0.9, -2/17
Sort 5/4, -2/5, 0.7.
-2/5, 0.7, 5/4
Put 4/3, -0.046, -0.3, -8 in increasing order.
-8, -0.3, -0.046, 4/3
Put 3/2, -10, 0.4 in decreasing order.
3/2, 0.4, -10
Put -175, -1, -5, -2, 0 in descending order.
0, -1, -2, -5, -175
Sort 1/5, 2/9, 4, 4/7, 3/58.
3/58, 1/5, 2/9, 4/7, 4
Sort 8, 25, 0.
0, 8, 25
Put 10, -3, -1, 20 in decreasing order.
20, 10, -1, -3
Sort -2, -1, 5, 11 in decreasing order.
11, 5, -1, -2
Sort 1, 2, 25, -8 in decreasing order.
25, 2, 1, -8
Put 461, 2, -5, 0, -1 in ascending order.
-5, -1, 0, 2, 461
Put 5, -141, 7, 1 in decreasing order.
7, 5, 1, -141
Put 5, -5, 8 in increasing order.
-5, 5, 8
Sort -0.2, 0, -4/21, -1.
-1, -0.2, -4/21, 0
Sort -2, -6, -251.
-251, -6, -2
Sort -69, 2, -3, 32 in ascending order.
-69, -3, 2, 32
Sort -0.02, 19, 1/3 in ascending order.
-0.02, 1/3, 19
Put 0.1, 2/5, -1/9 in decreasing order.
2/5, 0.1, -1/9
Put -1, 16, -1.2, -0.2 in increasing order.
-1.2, -1, -0.2, 16
Sort 3, -20, 5.
-20, 3, 5
Sort -9/19, -1/5, -0.4, 1/2, 3 in ascending order.
-9/19, -0.4, -1/5, 1/2, 3
Sort -19, 2, 5, 10.
-19, 2, 5, 10
Sort -2, 3, 250, -5, 2 in descending order.
250, 3, 2, -2, -5
Sort 0.4, 8, 2, 0.1, -1/3 in descending order.
8, 2, 0.4, 0.1, -1/3
Put 69, -2, 5 in decreasing order.
69, 5, -2
Put 12, 4, -6 in increasing order.
-6, 4, 12
Sort -4, 2/11, 0.1, 1, 6 in decreasing order.
6, 1, 2/11, 0.1, -4
Sort 0, -5, -1818, -2 in ascending order.
-1818, -5, -2, 0
Sort -1, -3, -139, 2 in increasing order.
-139, -3, -1, 2
Sort 1, -2, -3, -7 in decreasing order.
1, -2, -3, -7
Put -1, 0, 265 in decreasing order.
265, 0, -1
Sort 3, -98, 5, -4 in ascending | {
"pile_set_name": "DM Mathematics"
} |
+ -3)**2 + -5.
-12*sqrt(11)/5 + 144/25
Simplify (6*(sqrt(7) - 1*sqrt(63)) + -4*(sqrt(14)/sqrt(2)*-3 - sqrt(7)) - (sqrt(847) + sqrt(847) + -1 + -5*1*sqrt(7) - (-2 + sqrt(7) + -1*sqrt(7) + -1)))**2.
52*sqrt(7) + 1187
Simplify -5 + ((4 + 4*sqrt(11) - (sqrt(275) - sqrt(275)*-4)) + 3 + (sqrt(1331) + 2 + sqrt(1331) + sqrt(1331) - sqrt(1331))*-3)**2.
-174*sqrt(11) + 83255
Simplify 5 + ((1*sqrt(275) - sqrt(275)) + -1)*3 - (6*(-1 + sqrt(704) + sqrt(704)) + ((-2*sqrt(88))/sqrt(2))**2).
-96*sqrt(11) - 168
Simplify (((3 + -2*(5 + -1 + sqrt(320) + (sqrt(320) - (sqrt(320) + 1*(0 + sqrt(320)) - sqrt(320))))*-5)*1 + -5)*-1)**2.
6080*sqrt(5) + 33444
Simplify -1 + (-5*(sqrt(68) + -1)*3 - (-1 + sqrt(68) + -3 + sqrt(68) + sqrt(68))*-4)**2.
12*sqrt(17) + 612
Simplify -3*((2 + sqrt(1300)*2 + sqrt(1300) - sqrt(1300)) + 1)**2 + (-5*sqrt(143)*-1 - sqrt(143))/(sqrt(704)*2).
-15627 - 1439*sqrt(13)/4
Simplify 1 + 3*(sqrt(108) + 2 + sqrt(3) + (sqrt(972) + sqrt(27))/sqrt(9) - (4 + sqrt(15)/(1*sqrt(20)/sqrt(4)))).
-5 + 39*sqrt(3)
Simplify ((6*(sqrt(196)*5 + sqrt(196)))/(-5*sqrt(448)*1))**2.
567/25
Simplify (-4 + 6*((sqrt(2448) + 1 + 1 - 1*-2*sqrt(2448)) + -5)**2)*-6.
-793452 + 7776*sqrt(17)
Simplify ((sqrt(80)/sqrt(128))/sqrt(5) + ((sqrt(32) - sqrt(2)) + 2)*-5 + (4*sqrt(1782) + sqrt(1782))/(sqrt(891)*2))**2.
245*sqrt(2) + 3201/8
Simplify -1 + ((3*(-2 + sqrt(432)) - 2*(sqrt(432) + sqrt(432)*-3)) + 6*-2*sqrt(432) + (-1 + sqrt(432) + sqrt(432) + 5 + sqrt(432) - sqrt(432)) + 1)**2.
72*sqrt(3) + 3888
Simplify ((5*(sqrt(3168) + 2*(sqrt(3168) - -1*sqrt(3168)) + sqrt(3168)))/((sqrt(72)*2 + (sqrt(2) - sqrt(32))*5)*-6))**2.
4400
Simplify -3 + (-5*(sqrt(1008) - sqrt(1008)*-1) + 0 + 5 + -3)**2*1.
-480*sqrt(7) + 100801
Simplify 5*((5*(sqrt(363)*2 + sqrt(363)) + sqrt(363) - (-2*sqrt(363) + -4))*-5*-1)**2.
198000*sqrt(3) + 14703500
Simplify (2*(sqrt(1008) - -2*sqrt(1008))**2 + (sqrt(1008) - 3*(sqrt(1008) + sqrt(1008) + 2)**2))*-4 + 2 + 1.
-24141 + 1104*sqrt(7)
Simplify ((sqrt(91) - (sqrt(91) + 3*sqrt(91)))*-2)/(sqrt(42)/(sqrt(6)*2)) - ((-1 + sqrt(1300))**2*-3 - (sqrt(1300)*-2)**2*4)*3.
-168*sqrt(13) + 74109
Simplify 3*(4*(sqrt(572) + 3*sqrt(572) - sqrt(572)))/sqrt(11) - (3 + (1 + sqrt(1053) + 0 - (sqrt(1053) + -1*sqrt(1053)*-1))).
-4 + 81*sqrt(13)
Simplify ((-6*sqrt(12)/sqrt(2))/sqrt(72))**2 - (sqrt(210)/(sqrt(7)*3))/(3*sqrt(1440) + sqrt(10)).
-sqrt(3)/111 + 3
Simplify (-2 + 3 + 1 + sqrt(242) + -3 + -2*sqrt(2) + sqrt(72) + -2 + 5)**2.
60*sqrt(2) + 454
Simplify (-2*(0 + 1*(sqrt(425) + (-1 + sqrt(425) - sqrt(425))) + 1*sqrt(425) + 4 + (sqrt(425) - (sqrt(425) + (sqrt(425) + -1 - sqrt(425)) + -3))))**2.
560*sqrt(17) + 6996
Simplify (sqrt(20) + sqrt(180)/(sqrt(54)/sqrt(6)) - sqrt(100)/(-1*sqrt(5)))/(sqrt(44)/(sqrt(11) + sqrt(33)/(sqrt(6)/sqrt(2)))*-4).
-3*sqrt(5)/2
Simplify -1 + (-4*(-4 + -3*(-4 + sqrt(684)*2 + -2)))**2.
-16128*sqrt(19) + 397119
Simplify ((((-5*sqrt(68)*1 + sqrt(68) - sqrt(68)) + 4*-2*sqrt(68) + sqrt(68))*2)/((sqrt(24)*4)/sqrt(6) - sqrt(4) - sqrt(16)*-4))**2.
9792/121
Simplify (((-5 + sqrt(6)/((sqrt(300) + sqrt(3) - sqrt(3))*5))*-1 + -2)*-4)**2*-1 + 0.
-90008/625 + 48*sqrt(2)/25
Simplify ((1 + sqrt(612)*2 - sqrt(612)) + (sqrt(612) - (sqrt(612) + sqrt(612)*-2 + -2)))**2 - (1 + -5*(2*sqrt(612) + 0)).
168*sqrt(17) + 5516
Simplify (-6*(-6*(sqrt(130) - (sqrt(130)*1 - sqrt(130))) + (sqrt(130) + (sqrt(130)*1*-3 - sqrt(130)) - sqrt(130))))/((-2*sqrt(100)*4)/(3*sqrt(10)*2)).
-45*sqrt(13)
Simplify ((-4*sqrt(77)*2)/(sqrt(63)*-2 - sqrt(63)))**2 + (4 + sqrt(11)*4*-1*1)**2.
-32*sqrt(11) + 16256/81
Simplify 2*((6*sqrt(612) + -3 + sqrt(612)*-3 + sqrt(612) + -5)*5)**2.
-19200*sqrt(17) + 492800
Simplify -5 + 4 + sqrt(7) + 4 + 4 + sqrt(7) + (-1*sqrt(7))**2 + 1 + (sqrt(56)*1 - sqrt(56))/sqrt(8) + 0.
2*sqrt(7) + 15
Simplify -2*(sqrt(125) - sqrt(125)*2*-6) + 1 + (-4*(-3 + sqrt(125) + 6*sqrt(125)*2))**2.
-6370*sqrt(5) + 338145
Simplify (((sqrt(528)*2 - sqrt(528) - sqrt(528))/sqrt(11) - (sqrt(48) + -4 + sqrt(192))**2) + sqrt(480)/(sqrt(110)/(sqrt(396) + sqrt(11))))*-3.
-372*sqrt(3) + 1344
Simplify (-6*(sqrt(125) + 3) - -1*(sqrt(125) + 2*sqrt(125)))**2 - ((0 + sqrt(125))**2 + -4)*2*4.
481 + 540*sqrt(5)
Simplify -4 + (((sqrt(324) - sqrt(36))*-5)/(sqrt(72)/(sqrt(6) + (sqrt(6) - sqrt(96)))) - (sqrt(240)/sqrt(5) + sqrt(108) + 3 + sqrt(3))).
-7 + 9*sqrt(3)
Simplify ((3*(sqrt(390) - sqrt(390)*-1) - sqrt(390))/(sqrt(10) + sqrt(110)/sqrt(44)))/(4*6*(sqrt(6)*1)/sqrt(2)).
5*sqrt(13)/36
Simplify -5 + ((-1 + sqrt(108) + 1)**2 + sqrt(108) - 2*sqrt(108)*2) - (-5*3*(-4 + 1*sqrt(243)))**2.
-58172 + 16182*sqrt(3)
Simplify ((sqrt(80)/sqrt(4))/sqrt(2)*-4*-6)/(sqrt(640)/sqrt(5) + sqrt(2) - sqrt(2) - 3*sqrt(162)).
-24*sqrt(5)/19
Simplify 3 + (-2*(-1 + sqrt(475)))**2 + sqrt(152)/sqrt(2) + sqrt(57)/sqrt(3) + -5 + 4.
-37*sqrt(19) + 1906
Simplify 4 + -1 + (-3*-1*sqrt(189))/((sqrt(108) + sqrt(12))/sqrt(4)).
3 + 9*sqrt(7)/4
Simplify (1 + (sqrt(200)*2*-2 - (sqrt(200)*2*2)**2)*2 + -1)*6.
-38400 - 480*sqrt(2)
Simplify (-2 + (4 + -1 + sqrt(605))*5 + (4*(sqrt(605) + sqrt(605)*-1) - (sqrt(605) - 4*2*sqrt(605))))**2.
3432*sqrt(5) + 87289
Simplify ((sqrt(99) + (5*(sqrt(99) + 0) - sqrt(99)) - (sqrt(99) - (2*sqrt(99))**2*-3) - (3*-2*sqrt(99) + -3)) + -3)*3*6.
-21384 + 540*sqrt(11)
Simplify (4*(-6*(sqrt(156)/(sqrt(12)/sqrt(2)))/(sqrt(12)/(-1*sqrt(6))) + -2 + 2))**2.
7488
Simplify (-1 + 2*sqrt(2299) - 2*sqrt(2299)*1)*1 - ((-5*(0 + sqrt(19)) - (sqrt(19) - sqrt(57)/(sqrt(3)*3)))**2 + -1).
-5491/9
Simplify -3 + 2*-1*-1*(-2 + sqrt(304) + 3).
-1 + 8*sqrt(19)
Simplify 5 + (sqrt(130)*-2*-6 + sqrt(130)*2*5)/(((sqrt(100) - (sqrt(100) - 2*sqrt(100)))*-5)/sqrt(10)).
-11*sqrt(13)/5 + 5
Simplify 0 + (sqrt(176) - (sqrt(176) + (-4 + sqrt(176)*2 - sqrt(176))))**2 + sqrt(176)*-2 + 1 - (-2*(sqrt(539) + 0 + sqrt(539) + 0)*-2)**2.
-34303 - 40*sqrt(11)
Simplify (((sqrt(175) - (sqrt(175) - sqrt(175)*1))**2 - sqrt(175)) + 2)*3 + 5*(4 + (sqrt(252))**2).
-15*sqrt(7) + 1811
Simplify -5*((-1*sqrt(208))**2 - sqrt(208)) - ((sqrt(13) - sqrt(78)/sqrt(24) - (sqrt(13) - (3 + sqrt(39)/sqrt(3)))) + -4).
-1039 + 39*sqrt(13)/2
Simplify ((sqrt(192) + 5 + (sqrt(192) - sqrt(192)*-6) - ((-2 + -4*sqrt(3) - sqrt(3)) + sqrt(147)*-6 + sqrt(3))) + 3)**2.
2200*sqrt(3) + 36400
Simplify (-1*(sqrt(162) + 0 + -3 - (sqrt(162) + 0)*-5 - (-1 + 3 + sqrt(162) + sqrt(162)*1))*6)**2.
-12960*sqrt(2) + 94212
Simplify (-2 + ((sqrt(891)*-3 - sqrt(891)) + sqrt(891))**2)*4 + (sqrt(891)*2 + -1)*-1.
-18*sqrt(11) + 32069
Simplify (((sqrt(152) - sqrt(152)*2)*3)/(sqrt(8) + sqrt(48)/(sqrt(30)/sqrt(5))) + ((3 + sqrt(2736))*-6 - sqrt(2736) - sqrt(2736)) + (sqrt(2736) + 2)*-5)**2.
8820*sqrt(19) + 1888411/4
Simplify (5 + (sqrt(171) - sqrt(171)*2) + 4)**2 + (5*-2*sqrt(171) - (sqrt(171) + sqrt(171) + -2 + 5 + sqrt(171) - sqrt(171))).
-90*sqrt(19) + 249
Simplify ((sqrt(3267) - sqrt(3267)*-1*-4 - sqrt(3267)) + -4*-2*sqrt(3267) - 3*(4 + sqrt(3267) + 1 - sqrt(3267))*-4)**2.
15840*sqrt(3) + 55872
Simplify -4 + (-2*(sqrt(99) + 1) + 2)**2 + (3 + sqrt(99) + 3)**2*-3.
-108*sqrt(11) - 13
Simplify -3*((0 + (sqrt(117) - -4*(1 + sqrt(117))))**2*5 + -5) + -2.
-44102 - 1800*sqrt(13)
Simplify -2 + ((-4 + 5*(0 + sqrt(704)) - (2 + ((sqrt(704) - sqrt(704)*2) + sqrt(704))*-6))*5)**2.
-12000*sqrt(11) + 440898
Simplify (3 + (2*sqrt(448)*-1)/(sqrt(324) + 5*-2*sqrt(324)) + -5)**2.
-32*sqrt(7)/81 + 26692/6561
Simplify (-6*(sqrt(500) - -3*1*sqrt(500))*-4)/((sqrt(50)*2*-1)/((sqrt(45)/sqrt(3))/sqrt(3))*-5).
48*sqrt(2)
Simplify ((1*(3 + sqrt(325)) - (sqrt(325) + 1 + sqrt(325) + 0))**2 - (1 + (0 + -2*sqrt(325))**2 + 6*sqrt(325)*1))*-4.
200*sqrt(13) + 3888
Simplify 4*((5 + sqrt(24)/(2*sqrt(128)) + -5*(sqrt(24) - sqrt(96)/sqrt(4))/sqrt(8))*4 + 1)**2.
84*sqrt(3) + 1767
Simplify (-2 + -4 + 4 + sqrt(847) + -1 + (sqrt(847) - (2 + sqrt(847))) + -2 + 1)**2.
-132*sqrt(7) + 883
Simplify (sqrt(20) + -3*sqrt(20) + -5 + sqrt(20) + 1 + 4 - (-4 + 1 + 1*sqrt(180)*3))**2.
-120*sqrt(5) + 2009
Simplify 2 + (sqrt(2268)*-2 + sqrt(2268) + (sqrt(700)*1 - sqrt(28)))/(sqrt(400) - sqrt(400)*3*-6).
-sqrt(7)/38 + 2
Simplify 3*((-2 + sqrt(180))**2 + 5)*-1 - 2*5*((sqrt(180) - (sqrt(180)*2)**2) + sqrt(180))*-3.
-22167 + 432*sqrt(5)
Simplify (4*3*((sqrt(2156) + 0)*-5)**2 + -1)*4.
2587196
Simplify (2 + (-5 + ((5*-2*sqrt(637))**2 - sqrt(637)))*4 + (sqrt(637) + (2 + sqrt(6 | {
"pile_set_name": "DM Mathematics"
} |
is the lowest common multiple of w and 16?
16
Let w = 1468/2476767 - 2/1249. Let z = w + 168559/3966. Find the common denominator of z and 26.
2
Suppose -9*z + 10*z = 11. Calculate the smallest common multiple of 2 and z.
22
Suppose k + 32 = 5*k. Let i = k + -2. Calculate the lowest common multiple of 13 and i.
78
Suppose -l - 4*n + 7*n - 7 = 0, 2*n = -5*l + 33. Suppose -l*z + 2*z = 0. What is the common denominator of 39/7 and 3 - ((-51)/4 + z)?
28
Let k = 437/20 - -13/20. Suppose 5*m + 5 = -0*m. What is the common denominator of k and 27 + (2 + -6 - m)?
2
Let o = 113/7 - 2839/175. Let l = o + -217/100. Find the common denominator of l and 31/8.
8
What is the lowest common multiple of (-1 - -3)/(-1) - (-3 + -1) and 20?
20
Suppose 25 = t + 4*t. What is the common denominator of -47/7 and 20/(-32)*(-89)/t?
56
What is the common denominator of (3888/128)/(6/4) and -47/3?
12
Let y = -20 + 29. Calculate the smallest common multiple of 8 and (-231)/(-15) - y/(-15).
16
Let c be (0 + 3)*(1 - 0). Suppose 5*d - 16 = c*d. Calculate the least common multiple of 11 and d.
88
Find the common denominator of -11/20 and 1959/(-420) - 10/35.
20
What is the smallest common multiple of 7 and (10 - 0) + 4 + -6?
56
Let r = 254 - 160. Suppose -3*f + r - 36 = -2*q, 76 = 4*f - 2*q. What is the smallest common multiple of f and 6?
18
What is the lowest common multiple of (-3)/(-2) + (-33)/(-2) and 14?
126
Let k be (0 - -2)/(-2) - -6. Let g = 2 + k. Calculate the smallest common multiple of g and 6.
42
Let a(w) = -15*w - 90. What is the smallest common multiple of 6 and a(-8)?
30
Calculate the smallest common multiple of 4 and 140/(-21)*(2 - (-66)/(-15)).
16
Calculate the least common multiple of 6 and 90/9*(-3)/(-5).
6
Let s(z) = -z - 3. Let l be s(-6). Suppose 0 = -3*w - 4*k - 34, 4*w + 18 = -w + l*k. What is the common denominator of -143/12 and 1*131*(-1)/w?
12
Let p(l) = -13*l - 21*l + 8*l - 3. Let t be p(-3). Suppose 3*h - j = 25, 5*j - t + 20 = -3*h. What is the smallest common multiple of 26 and h?
130
Suppose 19*f - 80 = 15*f. Calculate the lowest common multiple of 76 and f.
380
Suppose 4*k - 100 = 4*h, -3*h + 3 = -4*h. Calculate the least common multiple of k and 38.
418
Suppose 5*x = 3*q - 118, -4*q - 2*x + 172 = -5*x. What is the least common multiple of q and 2?
46
Suppose -4*k - 51716 + 9432 = 0. Let y = k - -63577/6. What is the common denominator of ((-147)/(-18) - 1) + 4 and y?
6
Find the common denominator of 119/20 and 4/2 - ((-166)/(-40) + 3).
20
Let b = 786 - 9319/12. Let l = 3520 - 35141/10. Find the common denominator of l and b.
60
Let r be 14/(-21)*(-36)/(-2). Let n be (1 + -15)*r/14. What is the common denominator of -61/18 and (-1)/(-4)*164/n?
36
Let x = -1381 + 12487/9. What is the common denominator of -61/9 and x?
9
Let q(r) = 2*r**2 - 2. Let z be q(-2). What is the common denominator of 43/5 and (-205)/110 + 3/z?
55
Let g(x) = x**2 - 2*x - 10. Let y(c) = 2*c**2 - 5*c - 20. Let a(k) = -5*g(k) + 2*y(k). Calculate the smallest common multiple of 6 and a(0).
30
What is the least common multiple of (-44)/10*(-40)/16 and 4?
44
What is the least common multiple of 26 + 6 + 2/(-2) + 2 and 27?
297
What is the common denominator of (-122)/265 - (-28)/(-140) and -19/10?
530
Let l(c) = 17*c**3 + 2*c - 1. What is the least common multiple of 30 and l(1)?
90
Suppose -3*g + 3*p + 12483 = 0, 3*g - 7*g = -p - 16644. Let b = g - 50035/12. Find the common denominator of -29/14 and b.
84
Suppose 248*s - 265*s = -204. What is the lowest common multiple of s and (8/(-5))/(1/(-5))?
24
Let z = 1362 + -876. Suppose -2*m = -3*v - 305, -4*m = -m + 5*v - z. Let u = m - 508/3. Calculate the common denominator of 143/6 and u.
6
Suppose -b + 16 = -4. Calculate the smallest common multiple of b and (40/(-7))/(12/(-42)).
20
Suppose 2*n - 10 = -5*q + 9, 0 = q + 2*n + 1. Suppose -5*w + 0*o = o - 43, 0 = -q*w - 2*o + 46. Calculate the smallest common multiple of 14 and w.
56
Let x = -22/2525139 - 3067480103/303016680. Let g = x - 1/540. What is the common denominator of g and -61/16?
16
Let s be 1 + 2 + 0/(-3). Suppose -4*c + s*d + 24950 = 0, -4*c + 25060 - 100 = 2*d. Let g = -62499/10 + c. What is the common denominator of g and -61/18?
90
Let a = 37 + -21. Let l = 28 - 18. Calculate the lowest common multiple of a/(-28)*14/(-4) and l.
10
Let g = -128 - -150. Calculate the smallest common multiple of 4 and g.
44
Suppose -r = r - 10. Let l = r + -3. Calculate the lowest common multiple of 18 and l.
18
Let c be (-2)/(-4) - (-70)/(-20). Suppose 2*q = 3*q - 4. Let v = q + c. Calculate the lowest common multiple of 1 and v.
1
Suppose -q + 3*b - 15 = 2*q, -3*q + 5 = b. Find the common denominator of ((-278)/(-6))/(q + 2) and 53/10.
30
What is the common denominator of (-3)/2 + 52/5 and ((-58)/(-12))/((-2)/(-18))?
10
Let s(p) = -2*p - 17. What is the smallest common multiple of s(-11) and 11?
55
Suppose 2*u = 3*p - 2*u + 20, -20 = -4*u. Suppose p*n + 2*q + 1724 = 2*n, q + 2592 = 3*n. Let c = -6045/7 + n. Find the common denominator of -41/7 and c.
7
Let a be (-78)/(-10) - 2/(-10). Suppose 42 + a = 5*g. Calculate the lowest common multiple of g and 4.
20
Let c(p) = p**3 - 21*p**2 + 22*p - 32. Suppose -2*l - 8 = -40. Calculate the smallest common multiple of c(20) and l.
16
Let h be (-1 - 2) + (-5892 - 0). Let j = h - -82493/14. What is the common denominator of j and 77/2?
14
Suppose 2*q = -t - 2*q - 37, 4*t - 2*q = -76. Calculate the common denominator of 19/10 and (t/(-14))/((-30)/(-14)).
10
Let l = 43 - 93. Find the common denominator of l and 3.
1
Let m = 44 + -91/2. Let j = -34087/6 - -5695. What is the common denominator of m and j?
6
Let o be 6/14 + (-652)/(-14). Let g = o - 29. What is the least common multiple of g and 16?
144
Suppose 5*r + 115 = 5*o + 15, 0 = 4*o - r - 86. What is the common denominator of 21/20 and ((-50)/o)/(1 - 3)?
220
Let u be ((-1758)/(-64))/(5634/1164). Let o be (-4)/(-626)*172/8. Let h = u + o. Find the common denominator of -57/10 and h.
80
Suppose x - 10 = -2*x - 4*v, -4*x - 4*v = -16. Calculate the lowest common multiple of 12 and x.
12
Suppose 3*o - 4*g + 0 + 12 = 0, 5*o = -2*g + 6. Calculate the common denominator of 35/3 and -1 - (50/4 - o).
6
Let l = 30 + -22. Let n(m) = m**3 - 6*m**2 + 7*m - 2. Calculate the least common multiple of n(5) and l.
8
Suppose 4*x = 2*p, -p + 5*x = -0*p + 3. Suppose 0 = -3*b + 5*b - p*v - 24, -5*v = b + 12. Calculate the lowest common multiple of b and (-27)/(-3) + (-2 - -1).
8
Let u = 66 + -44. Calculate the smallest common multiple of u and 22.
22
Let h = 1 + 4. Let k be (6/15)/(1/h). Calculate the common denominator of -34/11 and 1*(2 + k/8).
44
Suppose 4 = 4*c - 0. Suppose -v + 4*o = 4, v - 3*o = -3 + c. Calculate the smallest common multiple of 9 and v.
36
Suppose -6*f + 7*f = 3. Calculate the smallest common multiple of 27 and f.
27
What is the common denominator of ((-166)/48)/((-3)/9) and -67/3?
24
Suppose b - 79 = 4*n, 245 = 4*b - 5*n - 60. Suppose g - 5*x = -4*g + b, -28 = -2*g + 4*x. Calculate the least common multiple of g and 12.
48
Let b = 0 + 1. Let t(g) = g - 7. Let w be t(7). Calculate the smallest common multiple of b and -3*(w/3 + -1).
3
Let f(k) = -k - 1. Let q be f(-4). Let u = q - 2. Let t = 6 - 4. Calculate the least common multiple of t and u.
2
Suppose -4*i - 5*y + 28 + 0 = 0, 0 = -2*i - 3*y + 12. What is the least common multiple of 20 and i?
60
Calculate the least common multiple of 1 and 160/35 + (-4)/7.
4
Let q be (160/(-6))/(-4)*-6. Let z be ((-18)/(-25))/(42/q). Let h = 2308/105 - z. What is the common denominator of h and 109/10?
30
Let h(c) = 9*c + 2. Let t be (-3)/(-3 + 2) - 2. What is the least common multiple of 9 and h(t)?
99
Let u = -1/2260 - -39561/24860. Find the common denominator of 61/2 and u.
22
Let m = 10936 + -218769/20. Find the common denominator of 91/20 and m.
20
Let b = 22/69 + 1364/483. Calculate the common denominator of b and -113/6.
42
Let r be -1 + 1 + 3 + -7234. Let b = 43499/6 + r. What is the common denominator of (4/(-6))/(8/606) and b?
6
Suppose 4*v = 4*y + 9 + 11, -y = 1. Suppose -3*x = -v*x + 10. Let k(r) = 4*r**2 + r - 4. What is the lowest common multiple of k(2) and x?
70
Suppose -4*o - 1 = 3. Let v be 72/(3 - (3 - o)). Let d = -50 - v. Calc | {
"pile_set_name": "DM Mathematics"
} |
xphifxfxxhh?
4/91
What is prob of sequence ccsp when four letters picked without replacement from cpcsppppccc?
5/396
What is prob of sequence dvz when three letters picked without replacement from {v: 5, z: 5, o: 2, k: 1, f: 4, d: 3}?
5/456
Three letters picked without replacement from kukkkkkkfkkkkkkk. What is prob of sequence fku?
1/240
Three letters picked without replacement from vccvcvvvvcvccvcvcc. What is prob of sequence vcv?
9/68
What is prob of sequence gog when three letters picked without replacement from {o: 1, g: 2}?
1/3
Calculate prob of sequence mt when two letters picked without replacement from {m: 1, q: 1, a: 3, f: 1, j: 5, t: 2}.
1/78
Three letters picked without replacement from {j: 1, o: 1, r: 1, e: 1, g: 1}. What is prob of sequence oeg?
1/60
What is prob of sequence xax when three letters picked without replacement from aaxxa?
1/10
Four letters picked without replacement from cvvvicvivivivv. What is prob of sequence icvc?
8/3003
Two letters picked without replacement from {a: 1, o: 3, x: 7, c: 1}. Give prob of sequence xx.
7/22
What is prob of sequence hux when three letters picked without replacement from pwxhcuh?
1/105
Two letters picked without replacement from mmeemmmmmkfkmm. What is prob of sequence mk?
9/91
What is prob of sequence asoo when four letters picked without replacement from {e: 1, o: 3, q: 3, u: 2, a: 1, s: 1}?
1/1320
What is prob of sequence igo when three letters picked without replacement from {q: 2, o: 1, g: 1, i: 2, t: 1}?
1/105
What is prob of sequence vvss when four letters picked without replacement from {v: 5, s: 3}?
1/14
Calculate prob of sequence jk when two letters picked without replacement from {k: 1, d: 1, o: 2, j: 1, u: 1, h: 1}.
1/42
Two letters picked without replacement from qqzzzqzqqqqqllqzzzl. Give prob of sequence qz.
7/38
Three letters picked without replacement from xruvuhvrxxhp. Give prob of sequence vrh.
1/165
Calculate prob of sequence ttze when four letters picked without replacement from {h: 1, x: 1, e: 1, z: 2, t: 2}.
1/210
Four letters picked without replacement from {f: 7, a: 3, c: 1, k: 3}. Give prob of sequence akff.
9/572
Calculate prob of sequence tee when three letters picked without replacement from {r: 2, t: 1, g: 1, e: 5}.
5/126
Calculate prob of sequence cr when two letters picked without replacement from bfcccfbfbcfcabcfrf.
1/51
Two letters picked without replacement from {f: 2, r: 2, w: 2}. Give prob of sequence rf.
2/15
Calculate prob of sequence onn when three letters picked without replacement from roorvrvrvnonrorrr.
1/510
Three letters picked without replacement from mfngnfu. Give prob of sequence ffn.
2/105
Two letters picked without replacement from wwwwwuwsw. Give prob of sequence wu.
7/72
Calculate prob of sequence khrr when four letters picked without replacement from {j: 6, r: 1, k: 2, h: 3, w: 5}.
0
Two letters picked without replacement from ooollooooooool. Give prob of sequence ll.
3/91
Three letters picked without replacement from kkpwwkwwvqkqwvwqwpkd. Give prob of sequence www.
7/228
Calculate prob of sequence sbb when three letters picked without replacement from hbbbbhsbrlhr.
1/66
Calculate prob of sequence aa when two letters picked without replacement from {l: 2, c: 2, s: 1, z: 5, a: 4, p: 1}.
2/35
Calculate prob of sequence zp when two letters picked without replacement from yppdipyzdiyr.
1/44
What is prob of sequence babm when four letters picked without replacement from bamkbci?
1/420
Four letters picked without replacement from eqkkeqkeeqk. What is prob of sequence kqek?
1/55
What is prob of sequence qbbu when four letters picked without replacement from uxbbqxxxquqx?
1/990
Calculate prob of sequence bx when two letters picked without replacement from {z: 2, x: 4, b: 7}.
7/39
Calculate prob of sequence hffu when four letters picked without replacement from {u: 1, f: 3, r: 3, h: 8, z: 5}.
2/4845
Calculate prob of sequence uuu when three letters picked without replacement from nunnnnnuwuwwennne.
1/680
Three letters picked without replacement from iniiiiiinii. Give prob of sequence ini.
8/55
Three letters picked without replacement from {i: 9, u: 4, y: 4}. What is prob of sequence uii?
6/85
Three letters picked without replacement from {e: 1, x: 2, d: 1, a: 1}. What is prob of sequence exa?
1/30
Four letters picked without replacement from qmqomommjojh. What is prob of sequence mhom?
1/330
Calculate prob of sequence qeee when four letters picked without replacement from {q: 4, e: 7}.
7/66
Calculate prob of sequence ytty when four letters picked without replacement from {t: 18, y: 2}.
1/190
Three letters picked without replacement from txvrbnr. What is prob of sequence rvn?
1/105
What is prob of sequence uu when two letters picked without replacement from {u: 2, b: 8, m: 2, o: 1}?
1/78
Two letters picked without replacement from {z: 5, i: 1, k: 12, b: 1}. What is prob of sequence kz?
10/57
Two letters picked without replacement from zzczzc. What is prob of sequence cc?
1/15
Three letters picked without replacement from dkkkkkkrkrkkkrrkbkb. What is prob of sequence rkr?
8/323
What is prob of sequence wauq when four letters picked without replacement from awqqu?
1/60
What is prob of sequence ccw when three letters picked without replacement from cczwwzzczzzczczcw?
3/136
Calculate prob of sequence rd when two letters picked without replacement from {d: 1, r: 1, l: 1, m: 2}.
1/20
What is prob of sequence oos when three letters picked without replacement from {s: 5, o: 3, b: 4}?
1/44
Three letters picked without replacement from {f: 1, g: 2, a: 2, d: 1, v: 1}. What is prob of sequence agv?
2/105
Three letters picked without replacement from mhzkkxhkppzppk. What is prob of sequence xzk?
1/273
Three letters picked without replacement from {f: 2, r: 2, u: 1, d: 8, m: 1, h: 3}. What is prob of sequence fur?
1/1020
Calculate prob of sequence hr when two letters picked without replacement from hrrrrrrrhrrrrh.
33/182
Two letters picked without replacement from avqzzkt. What is prob of sequence az?
1/21
What is prob of sequence rh when two letters picked without replacement from {m: 4, h: 2, r: 1, t: 1}?
1/28
Three letters picked without replacement from yyuyarysuafusu. What is prob of sequence urs?
1/273
Four letters picked without replacement from jtttjjzwtttjjtztjt. Give prob of sequence zztw.
1/4080
Calculate prob of sequence ex when two letters picked without replacement from {e: 1, w: 1, i: 3, x: 1, t: 6}.
1/132
Two letters picked without replacement from uozzuuzzuuzzuu. What is prob of sequence uu?
3/13
Four letters picked without replacement from nnrnrkrnn. Give prob of sequence nrnr.
5/126
What is prob of sequence oa when two letters picked without replacement from {n: 11, o: 7, a: 2}?
7/190
Two letters picked without replacement from {j: 1, p: 2}. What is prob of sequence jp?
1/3
Four letters picked without replacement from {n: 1, v: 3, o: 1, z: 2, u: 4}. Give prob of sequence ovnv.
1/1320
Calculate prob of sequence fum when three letters picked without replacement from bfumzfzzzff.
2/495
Three letters picked without replacement from lzllzlzzlllllzsllzz. Give prob of sequence lsz.
77/5814
Calculate prob of sequence ws when two letters picked without replacement from {v: 1, s: 4, l: 1, w: 6, a: 4}.
1/10
Calculate prob of sequence bymk when four letters picked without replacement from mkyllylymklzmlyblky.
5/10336
Three letters picked without replacement from nncccncccccancccncca. Give prob of sequence ana.
1/684
Two letters picked without replacement from {a: 4, m: 2, l: 1}. What is prob of sequence ma?
4/21
What is prob of sequence ddcd when four letters picked without replacement from {d: 14, c: 4}?
91/765
What is prob of sequence re when two letters picked without replacement from {l: 3, r: 6, e: 4, x: 2, q: 1, u: 2}?
4/51
Two letters picked without replacement from {b: 1, w: 1, a: 2}. What is prob of sequence aw?
1/6
What is prob of sequence ss when two letters picked without replacement from sksswkssttksks?
3/13
Three letters picked without replacement from ntlltwzlgttlttgg. What is prob of sequence ntg?
3/560
Two letters picked without replacement from {a: 1, y: 1, p: 1, j: 1, x: 1}. Give prob of sequence ay.
1/20
What is prob of sequen | {
"pile_set_name": "DM Mathematics"
} |
). Let k(o) = -1. Determine 2*f(a) + 9*k(a).
-2*a - 1
Let y = -5 - -7. Let r(n) = 3*n - 4. Suppose -5*l = 6 + 9. Let u(k) = k - 5. Let b(i) = -5. Let w(z) = -3*b(z) + 4*u(z). Give l*r(s) + y*w(s).
-s + 2
Suppose -2*v + 3*v + 3*i - 17 = 0, -4*v + 4*i = -20. Let s(a) = v - 18 + 4*a + 11. Suppose 0 = 7*u - 2*u - 10. Let x(f) = -3*f. What is u*s(g) + 3*x(g)?
-g + 2
Let j(a) = 2*a**2 - 3*a - 1. Suppose 0 = h + 2*z - 3, 2*h + 2*z = 4 + 4. Suppose -h*f - 12 = -3*f. Let n(w) = w**2 - w. What is f*n(i) + 2*j(i)?
-2*i**2 - 2
Let g(p) = 5*p**3 + p**2 + p + 21. Let v(l) = -l**3 - 4. Let t(m) = -6*g(m) - 33*v(m). Let f(i) = -4*i**3 + 7*i**2 + 7*i - 7. Determine -6*f(b) - 7*t(b).
3*b**3
Suppose -3*i - 33 = 2*n + 2, 0 = -3*i - 5*n - 20. Let f = -10 - i. Let c(l) = -2*l**3 - 5*l**2 - 7. Let p(z) = -z**2 - 1. Determine f*p(u) - c(u).
2*u**3 + 2
Let h(n) = -36*n**2 + 21*n. Let u(o) = -7*o**2 + 4*o. Determine -4*h(s) + 21*u(s).
-3*s**2
Let d(c) = c**2 + 1. Let r(f) = -4*f**3 + 5*f**2 + 2*f + 4. Determine 4*d(j) - r(j).
4*j**3 - j**2 - 2*j
Let m(w) = 3*w + 25. Let q(c) = -c - 8. Determine 2*m(n) + 7*q(n).
-n - 6
Let d(p) = -p + 2*p + 1 + p**3 - 2*p + 0*p. Let j(o) = 4*o**3 - 2*o + 4. What is 2*d(i) - j(i)?
-2*i**3 - 2
Let m(y) = -2*y**2 - 5*y + 5. Let b(p) = -p + 1. Let t = 120 - 105. What is t*b(a) - 3*m(a)?
6*a**2
Let g(y) = y + 2. Let w(a) = 2*a + 2. Calculate -5*g(n) + 6*w(n).
7*n + 2
Let b = 43 + -48. Let h(s) = -7*s**3 - s**2 - 5*s + 9. Let u(a) = 10*a**3 + a**2 + 7*a - 13. Determine b*u(x) - 7*h(x).
-x**3 + 2*x**2 + 2
Suppose -2*j - 5*u - 4 = 2*j, -3*u - 24 = -3*j. Let c be j/24 - 52/24. Let r(o) = -o**3 + o**2 - 2*o. Let l(d) = d**2 - 3*d. Calculate c*l(m) + 3*r(m).
-3*m**3 + m**2
Let k(b) = 6*b**3 - 3*b**2 - 17*b. Let p(c) = 2*c**3 - c**2 - 6*c. What is -4*k(o) + 11*p(o)?
-2*o**3 + o**2 + 2*o
Let j(h) = -h**3 - h**2. Let o(b) = -b**3 - b. Let s(y) = 13*y**3 + 6*y**2 + 4*y. Let l(w) = -4*o(w) - s(w). Determine 6*j(p) - l(p).
3*p**3
Let g(a) = a**3 - 9*a**2 - 10*a - 7. Let y be g(10). Let m(v) = -9*v**2 - 4*v + 4. Let s(b) = 17*b**2 + 7*b - 7. Give y*m(p) - 4*s(p).
-5*p**2
Let o(s) = -16199*s**3 + 1067. Let j(l) = -91*l**3 + 6. Determine -1067*j(a) + 6*o(a).
-97*a**3
Suppose -5*q + 2*f + 19 = 3*f, -4*q + 3*f = 0. Suppose -2*r - q = 9. Let d(y) = -2*y**3 - 4*y**2 - 2. Let p(x) = 9*x**3 + 17*x**2 + 9. What is r*p(b) - 26*d(b)?
-2*b**3 + 2*b**2 - 2
Let f = -128 + 125. Let a(w) = -w**2. Let r(q) = -q**2. Determine f*r(k) + 4*a(k).
-k**2
Let w(h) = h**3 + h**2 - h. Let a(t) = -20*t**3 - 5*t**2 + 5*t. Determine 2*a(p) + 10*w(p).
-30*p**3
Let p(t) = -4*t**3 - 2*t. Let c(w) = 3*w**3 + w. Let r = 9 - 6. Let y = r - 1. Suppose -4*l = -10 - y. What is l*c(h) + 2*p(h)?
h**3 - h
Let z(b) = 1. Let x(d) = 3*d + 3. Let o(v) = v + 6. Suppose i + c = 0, -3*i - 4*c = 2*i + 5. Let f be o(i). Calculate f*x(k) - 3*z(k).
3*k
Let l be (-8)/18*3 + 10/(-15). Let o(d) = 6*d - 11. Let m(p) = -3*p - 9. Let z(t) = -4*t - 13. Let a(g) = 7*m(g) - 5*z(g). Give l*o(q) - 11*a(q).
-q
Let c(t) = 9*t - 9. Let r(i) = -6 + 5*i - 2 + 2 - i**2 - i. Let s be r(4). Let y(n) = 4*n - 4. Calculate s*c(p) + 13*y(p).
-2*p + 2
Let z(v) = 5*v**3 - v**2 + v - 13. Let f(r) = 21*r**3 - 5*r**2 + 4*r - 52. Calculate -2*f(c) + 9*z(c).
3*c**3 + c**2 + c - 13
Let d = 0 + 9. Let w(o) = -6*o**3 - 9*o**2 - 9. Let f(y) = 3*y**3 + 4*y**2 + 4. Determine d*f(k) + 4*w(k).
3*k**3
Let f(s) = 5*s**3 + 11*s**2 - 8. Let k = 15 + -24. Let r be 3 + -5 - k - -1. Let d(q) = 2*q**3 + 4*q**2 - 3. Determine r*d(i) - 3*f(i).
i**3 - i**2
Let b(c) = -12*c. Let z(g) be the first derivative of 2*g**2 - 10. Calculate 4*b(p) + 11*z(p).
-4*p
Let t(k) = 20*k**2 + 7*k - 7. Let n(s) = -10*s**2 - 3*s + 3. Determine 7*n(g) + 3*t(g).
-10*g**2
Let o(j) = -21*j**3 + 20*j**2 + 1. Let u(y) = 4*y**3 - 4*y**2. Calculate 2*o(c) + 11*u(c).
2*c**3 - 4*c**2 + 2
Let i be (0 + (-2)/6)*15. Let d(w) = -w**3 + 2. Let l = -1 + 3. Let t(b) = 0 + 3 + 1 - l*b**3. Give i*d(v) + 2*t(v).
v**3 - 2
Let t(s) = -7*s**2 - 7*s + 3. Let j(v) = -7 + 8 + 4*v + v**2 + 3*v**2 - 3. Calculate -5*j(n) - 3*t(n).
n**2 + n + 1
Let z = 27 + -24. Let d(o) = 6*o - 5. Let r(k) = -3*k + 1 + 8 - 6. Give z*d(u) + 5*r(u).
3*u
Let z = -8 - -11. Suppose -z*a - 3 = 3. Let x be 1*(a + 1)*-1. Let s(v) = -v**2 - 2*v + 1. Let n(q) = q**2 - q. What is x*s(y) - n(y)?
-2*y**2 - y + 1
Let o be (-64)/(-36) - (-4)/18. Let z be 0/o*(0 - -1). Suppose z*s = 4*s + 4. Let j(g) = -g**2 - g. Let m(u) = 4*u**2 + 3*u - 2. Calculate s*m(l) - 2*j(l).
-2*l**2 - l + 2
Let p(k) = k - 3. Let g(a) = -a + 2. Let n(r) = -3*r - 32. Let t be n(-9). What is t*g(o) - 4*p(o)?
o + 2
Let b(n) = 17 - 3*n - 8*n + 2*n. Let j(v) = 3*v - 6. Give -4*b(d) - 11*j(d).
3*d - 2
Let t(o) = 2*o - 4. Let m(s) be the second derivative of -s**4/12 + s**2/2 + 2*s. Let b = -39 + 41. Calculate b*m(h) + t(h).
-2*h**2 + 2*h - 2
Let k(h) = -114*h**3 + 48*h**2. Let y(b) = -47*b**3 - b**2 - 3*b + 3. Let u be y(1). Let g(a) = -12*a**3 + 5*a**2. Calculate u*g(j) + 5*k(j).
6*j**3
Let p(w) = -2*w**3 + 4*w**2 - 13*w. Let x(d) = 5*d**3 - 11*d**2 + 39*d. What is 11*p(f) + 4*x(f)?
-2*f**3 + 13*f
Let i(u) = -5*u - 3. Let b(a) be the third derivative of -19*a**4/24 - 11*a**3/6 + 12*a**2. Determine 6*b(n) - 22*i(n).
-4*n
Let b(k) = 57*k**3 - 7*k**2 + 7*k + 7. Let p(u) = -29*u**3 + 3*u**2 - 3*u - 3. Determine 3*b(i) + 7*p(i).
-32*i**3
Let f be (-20)/8*(0 + 2). Let q(g) = 2*g**3 + 5*g**2 - 5*g. Let b(n) = n**3 + 4*n**2 - 4*n. What is f*b(l) + 4*q(l)?
3*l**3
Let n(x) = -3*x**3 + x**2 - 4*x + 2. Let f(c) = 16*c**3 - 6*c**2 + 21*c - 11. What is 2*f(r) + 11*n(r)?
-r**3 - r**2 - 2*r
Let b(v) = 2*v + 15. Let s(m) = 5*m + 30. Determine 9*b(a) - 4*s(a).
-2*a + 15
Let v(f) = 4 + 147*f - 285*f + 144*f. Let d(m) = -7*m - 4. Determine -5*d(n) - 6*v(n).
-n - 4
Let b(q) = 9*q**2 - 11*q - 2. Let a be (-3)/((-28)/8 + 2). Let i(v) = 2 - 6*v + 6*v**2 - 3 - v**a. What is 6*b(k) - 11*i(k)?
-k**2 - 1
Let w(b) = 13*b. Let l(m) = 14*m. What is -2*l(x) + 3*w(x)?
11*x
Let d(p) = -4*p - 7. Let b(g) = -g - 2. Determine -14*b(u) + 4*d(u).
-2*u
Let u = -8 - -4. Let i(x) be the second derivative of -5*x**4/12 + 5*x**2/2 + 13*x. Let g(f) = -1 - 1 - f**2 + 3. Give u*g(m) + i(m).
-m**2 + 1
Suppose 15 = 4*f + q + 2, f + 8 = -4*q. Let k(v) = v - 6*v + f*v - 1. Let p(l) = -6*l - 5. Give -4*k(n) + p(n).
-2*n - 1
Let s(n) = 3*n + 1. Suppose -2*j - 4 = -2. Let l(c) = -5*c - 4*c + 8*c. What is j*s(r) - 2*l(r)?
-r - 1
Let y(s) be the first derivative of s**2/2 + 4. Let c(b) = 3 + 3 + 0 - 5. Determine -c(r) + 2*y(r).
2*r - 1
Let x(w) = -5*w**2 - 6*w + 14*w**3 - 6*w + 4*w + 8 + 10*w**2. Let k(s) = -5*s**3 - 2*s**2 + 3*s - 3. Let a = -11 + 3. Determine a*k(f) - 3*x(f).
-2*f**3 + f**2
Suppose 17 = 5*i - 8. Let w(p) = -2*p**2 - 6*p + 1. Let q(y) = -6 + 7*y + 3 + 2 + 2*y**2. What is i*w(l) + 4*q(l)?
-2*l**2 - 2*l + 1
Let b(n) = 4*n**2 - n + 3. Suppose 29*l - 12*l - 68 = 0. Suppose 2*p - 17 + 7 = 0. Let o(i) = -3*i**2 + i - 2. What is l*b(w) + p*o(w)?
w**2 + w + 2
Let z(u) = -4*u**2 + 5*u + 3. Let y(i) = -8*i**2 + 11*i + 7. Give -4*y(d) + 9*z(d).
-4*d**2 + d - 1
Let c(p) = -15*p**2 + 13*p. Let h(t) = 7*t**2 - 6*t. Let a be (5 - 1)/(3 + -1). Suppose a*u - 3*v = -6, -u + 3*v = -2*v - 4. Calculate u*c(f) - 13*h(f).
-f**2
Let m(k) = -121*k - 22. Let d(f) = -27*f - 5. Calculate -22*d(l) + 5*m(l).
-11*l
Let f(w) = 5*w**3 - 2*w**2 - 3*w. Let r(l) = 4*l**3 - 2*l**2 - 2*l. Let q(j) = -j**2 - j. Let p be q(-2). Determine p*f(y) + 3*r(y).
2*y**3 - 2*y**2
Suppose 2*c = -4*d + 24, -c + 4*d - 20 = -2*c. Let n(a) = 6*a**2 + 17. Suppose 0 = -4*b - 35 - 9. Let g(t) = 2*t**2 + 6. Determine b*g(m) + c*n(m).
2*m**2 + 2
Let f be (2/(-8))/((-6)/24). Suppose 2*s - 3 = -f. Let i(k) = 2*k**3 + 5*k - 5. Let o(a) = a - 1. What is s*i(p) - 5*o(p)?
2*p**3
Let b(x) = x**2 - x - 2. Suppose h + 7 = -6. Let i(c) = -9*c**2 - c + 8. Let f(s) = 4*s**2 - 4. Let n(v) = -5*f(v) - 2*i(v). Give h*b(p) - 6*n(p).
-p**2 + p + 2
Let v = -6 + -26. Let p(w) = -20*w**3 + 32*w**2 + 32*w - 32. Let i(d) = -3*d**3 + 5*d**2 + 5*d - 5. What is v*i(o) + 5*p(o)?
-4*o**3
Let j(n) = -5*n**2 - 2*n - 2. Let z(d) = 16*d**2 + 6*d + 1. Let h(f) = -1. Let m(x) = -5*h(x) + z(x). Let g(r) = -r - 6. Let k be g(-3). Give k*m(t) - 10*j(t).
2*t**2 + 2*t + 2
Let y(m) = 10*m**2 + | {
"pile_set_name": "DM Mathematics"
} |
= -5*q - 6. Let w(l) = -6*l - 10. Let i(s) = -6*s - 11. Let m(h) = 3*i(h) - 4*w(h). Let y(b) = -7*f(b) - 6*m(b). Let u(p) = 2*p**2. What is y(u(v))?
-2*v**2
Let j(p) = p. Let l(q) = -20*q - q + 8*q - 16*q. Calculate l(j(b)).
-29*b
Let s(g) = -2*g. Let d(c) = -9595*c**2. What is s(d(k))?
19190*k**2
Let v(r) = -r. Let b(h) = 28*h - 32. Let a(n) = 9*n - 10. Let x(s) = 16*a(s) - 5*b(s). Give x(v(k)).
-4*k
Let s(l) = 4*l**2. Let q(j) = 469*j**2. Calculate s(q(i)).
879844*i**4
Let z(t) = -11*t**2. Let d(s) = -11242 - 3*s + 11242. Give z(d(b)).
-99*b**2
Let s(f) = 26*f. Let o(y) = -19*y**2. Calculate s(o(k)).
-494*k**2
Let o(a) = 4*a**2 - 3*a**2 - 2*a**2 + 2*a**2. Let c(h) be the first derivative of -h**6/90 - h**3/3 + 1. Let f(v) be the third derivative of c(v). Give f(o(d)).
-4*d**4
Let a = 5 - 3. Let u(d) = d + 2*d - a*d. Let m(i) = -4*i - 3. Let t(q) = -7*q - 5. Let n(l) = 5*m(l) - 3*t(l). Calculate u(n(f)).
f
Let r(u) = -u**2. Let m(h) = 5*h. Let t(v) = 7*v. Let n(g) = -8*m(g) + 5*t(g). Give n(r(p)).
5*p**2
Let z(f) = -12*f. Let l(p) = -p + 2. Let o(s) = -2*s + 5. Let g(k) = -10*l(k) + 4*o(k). Determine g(z(u)).
-24*u
Let w = 10 + -5. Suppose 11 = w*k + 1. Let d(a) = -k*a**2 + 2*a**2 + 2*a**2. Let c(i) = -5*i. What is c(d(n))?
-10*n**2
Let w(v) be the third derivative of v**5/60 + 5*v**2. Let f(y) = -29*y**2. Calculate f(w(a)).
-29*a**4
Let j(h) = 2 - 10*h - 8*h - 1 - 4. Let k(x) = -x. Determine j(k(q)).
18*q - 3
Let l(h) be the third derivative of 0*h + 0*h**4 - 1/60*h**5 - h**2 + 0*h**3 + 0. Let v(c) = c. Give v(l(i)).
-i**2
Let h(a) = -4*a + 21. Let n(o) = 4*o. What is n(h(d))?
-16*d + 84
Let m(k) = -24*k**2. Let g(v) = 389 + 2*v - 389. Determine g(m(h)).
-48*h**2
Let l(f) = 4*f. Let a(u) = -u + 256. What is a(l(x))?
-4*x + 256
Let v(o) = -1 - 2*o - 2 + 3. Let f(d) = -3*d**2. Calculate f(v(n)).
-12*n**2
Let q(a) = a. Let w(s) be the third derivative of -17*s**4/24 - 40*s**2. Give w(q(j)).
-17*j
Let s(z) = -8*z**2. Let q(n) = 23*n**2. Determine s(q(l)).
-4232*l**4
Let r = 4 - 3. Let y(x) = -x + 3*x - r + 1. Let s(a) = -2*a**2. Calculate y(s(j)).
-4*j**2
Let k(g) = -190*g**2. Let z(a) = -a**2. Give k(z(j)).
-190*j**4
Let x(m) be the third derivative of -m**5/60 - m**2. Let z(r) be the second derivative of r**4/4 + 4*r. Determine x(z(n)).
-9*n**4
Let f(y) = y**2. Let k(u) = -u. Let b(o) = 3*o**2 + 6*o. Let a(i) = b(i) + 6*k(i). What is a(f(t))?
3*t**4
Let h(s) = 3*s**2. Let c(x) = -5*x + 4. Let r(k) = 14*k - 12. Let q(y) = -11*c(y) - 4*r(y). Let m(z) = -1. Let v(a) = 4*m(a) + q(a). Calculate h(v(f)).
3*f**2
Let y(l) be the third derivative of l**5/30 - l**4/6 + l**3/2 + 2*l**2. Let s be y(2). Let i(h) = s*h - h - 3*h. Let z(m) = 2*m. Give i(z(w)).
-2*w
Let r(b) = -2*b**2. Let m(a) be the third derivative of 13*a**5/60 - 2*a**2. Determine m(r(u)).
52*u**4
Let w(p) = -p - 119. Let u(i) = -i. Determine u(w(d)).
d + 119
Let k(l) = -l**2. Let s(f) be the third derivative of -f**7/2520 - 5*f**4/12 + 2*f**2. Let h(n) be the second derivative of s(n). What is k(h(g))?
-g**4
Let w(u) be the third derivative of -u**5/30 - 25*u**2. Let t(b) = -21*b**2 + 1. Determine t(w(p)).
-84*p**4 + 1
Let n(h) = -2 - 3*h - 2*h**2 + h**2 - 1. Let f(x) = 8*x**2 + 28*x + 28. Let t(s) = 3*f(s) + 28*n(s). Let i(y) = -2*y. What is t(i(b))?
-16*b**2
Let f(z) = 0*z + 6*z - 6*z + 3*z. Let o(k) = 2*k**2. What is f(o(t))?
6*t**2
Let q(r) be the third derivative of r**5/20 - r**2. Let l(t) = -9*t**2 - 7*t. Let w(g) = 4*g**2 + 3*g. Let c(a) = -3*l(a) - 7*w(a). What is q(c(y))?
3*y**4
Let r(g) = -9*g**2. Let k(w) = 7 - 7 + w. Calculate r(k(s)).
-9*s**2
Let i(n) = -10*n**2. Suppose -51 = -5*q - b, 4*b - 2*b - 36 = -4*q. Let c(x) = q*x - 20*x + 8*x. Calculate i(c(s)).
-10*s**2
Let g(t) = -4*t + 3*t + 2*t. Let k(q) be the first derivative of q**4/6 - q - 3. Let p(i) be the first derivative of k(i). Give p(g(h)).
2*h**2
Let p(k) = k + 2. Let u(s) = 6*s. What is u(p(v))?
6*v + 12
Let a(s) be the third derivative of -5*s**4/24 + 9*s**2. Let i(n) = -1. Let p(o) = -o + 5. Let z(f) = -5*i(f) - p(f). Give a(z(c)).
-5*c
Let u(h) = -13676*h**2. Let r(i) = -2*i. What is r(u(p))?
27352*p**2
Let z(o) = o + 48. Let r(a) = 3*a**2. Give z(r(b)).
3*b**2 + 48
Let l(i) = -i**2. Let d(q) = -7*q - 50 + 50 - 2*q. Give l(d(x)).
-81*x**2
Let t(j) = 115*j. Let z(b) = 30*b. Give z(t(c)).
3450*c
Let d(s) = 8*s. Suppose h + 59 = 2*h. Let x(a) = -59 - 2*a + h. Calculate x(d(f)).
-16*f
Let p(b) = -5*b**2 + 32*b. Let u(h) = 5*h. Determine u(p(f)).
-25*f**2 + 160*f
Let s(x) = -7*x**2 + 3*x**2 + 2*x**2 + x**2. Let p(q) = -4*q. Determine p(s(b)).
4*b**2
Let q(m) = 3*m. Let f(r) = -3*r - 724. What is q(f(l))?
-9*l - 2172
Let n(q) be the second derivative of -q**4/3 + 2*q. Let j(y) be the third derivative of y**5/30 - 40*y**2. Give j(n(l)).
32*l**4
Suppose -i = 5*i - 54. Let z(f) = -8*f + 4 + i*f - 4. Let n(c) = 11*c**2 - 3*c**2 - c**2. Determine n(z(x)).
7*x**2
Let l(s) = 8*s + 9. Let x(p) = 2*p + 2. Let k(j) = 2*l(j) - 9*x(j). Let c(y) = -11*y. What is k(c(g))?
22*g
Let v(y) = -3*y**2. Let n(r) be the second derivative of r**4/12 - 32*r. What is v(n(g))?
-3*g**4
Let v(x) = 14*x**2 - x. Let p(n) = 26*n. What is v(p(u))?
9464*u**2 - 26*u
Let t(h) = -1. Let r(c) = 3*c - 5. Let u(y) = r(y) - 5*t(y). Let a(z) = -5*z - 6. Let m(i) = 4*i + 5. Let b(x) = 5*a(x) + 6*m(x). Give b(u(s)).
-3*s
Let m(l) be the third derivative of -7*l**4/24 + l**2. Let g(f) be the third derivative of -f**5/60 - 34*f**2. Determine g(m(y)).
-49*y**2
Let r(d) = -19*d**2 - 2*d. Let k(o) = 132*o**2 + 15*o. Let w(x) = 2*k(x) + 15*r(x). Let z(m) = -m. What is w(z(t))?
-21*t**2
Let k(m) be the third derivative of -m**4/24 + 2*m**2. Let r(n) be the third derivative of 0*n**4 + 2*n**2 + 0*n + 0 - 1/60*n**5 + 0*n**3. Determine k(r(w)).
w**2
Let r(n) = 5*n. Let h(a) = -17*a**2 - 5*a + 5. Let k(l) = -26*l**2 - 8*l + 8. Let y(d) = 8*h(d) - 5*k(d). Determine r(y(u)).
-30*u**2
Let k(x) = -4*x - x - 1 + 4*x. Let h(u) = 2*u**2. Calculate k(h(g)).
-2*g**2 - 1
Let i(r) = -2*r. Let w(c) = 5*c - 19. Calculate w(i(u)).
-10*u - 19
Let g(u) be the third derivative of -u**4/8 + 3*u**2. Let t(q) = -2*q**2 + 4*q + 0*q**2 - 4*q. Give g(t(s)).
6*s**2
Let w(z) = z**2. Let a(k) be the third derivative of k**4/8 + 3*k**2. Determine w(a(n)).
9*n**2
Let a(b) = 10*b**2. Let n(g) = -7*g**2 + 6*g - 6. Let p(v) = 6*v**2 - 5*v + 5. Let j(r) = 3*r - 21. Let t be j(9). Let i(u) = t*p(u) + 5*n(u). Give a(i(y)).
10*y**4
Let c(x) = -9*x**2 - 7*x**2 - 10*x**2 + 21*x**2. Let r(b) = 4*b - 3*b + b. Calculate r(c(w)).
-10*w**2
Let f(z) = 2*z - 6. Let u be f(4). Suppose t - 6*t + 30 = 0. Let s(k) = t - 6 + k**u. Let m(g) = g. What is m(s(c))?
c**2
Let w(c) = c - 3. Let h = 13 + -10. Let i(j) = 6*j - 14. Let k(f) = h*i(f) - 14*w(f). Let n(u) = -2*u. What is k(n(q))?
-8*q
Let t(x) = -20*x**2. Let y(g) = -g. Let w(o) = 9*o. Let s(n) = -w(n) - 4*y(n). Give s(t(m)).
100*m**2
Let w(m) be the first derivative of -11*m**2/2 - 1. Let q(o) = 56 - o - 29 - 27. Determine q(w(n)).
11*n
Suppose -5*o + 15 = -0. Let l(r) = 6*r**2 - 10*r**2 + o*r**2. Let h(p) = 3*p**2. Give h(l(f)).
3*f**4
Let a(w) = 9*w. Let x(g) = -14*g. Let n(r) = 7*a(r) + 5*x(r). Let c(m) = m**2. Calculate n(c(k)).
-7*k**2
Let l(o) = -8*o + 1. Let p(y) = 2*y**2 + 6*y - 6. Let v(x) = -x + 1. Let h(r) = -p(r) - 6*v(r). Determine h(l(a)).
-128*a**2 + 32*a - 2
Let h(s) be the third derivative of s**4/12 - 9*s**2. Let c(r) = -19*r**2. What is c(h(z))?
-76*z**2
Let k(g) be the second derivative of g**3/3 + g. Let v(u) be the first derivative of -4*u**3/3 + 2. Determine v(k(y)).
-16*y**2
Let n(w) = w. Let c(l) = 4017*l. Calculate n(c(r)).
4017*r
Let y(n) = -3*n**2 - 4*n**2 + 9*n**2. Let a(q) = -8*q. Calculate a(y(k)).
-16*k**2
Let y(s) = 6*s. Let l(c) be the third derivative of c**7/1260 - c**4/24 - 9*c**2. Let z(k) be the second derivative of l(k). Give y(z(i)).
12*i**2
Let x(z) = 2*z**2. Let l(h) = 446*h**2 + 17. What is x(l(v))?
397832*v**4 + 30328*v**2 + 578
Let f(g) = 2*g. Let o(s) be the first derivative of -5*s**2 + s - 7. What is o(f(y))?
-20*y + 1
Let u(x) = -2*x**2. Let r(c) = -1386*c**2. What is r(u(f))?
-5544*f**4
Let w(p) = -12*p**2. Let h(l) = -1395*l**2. Calculate h(w(t)).
-200880*t**4
Let b(a) = a. Let x(h) = h**2 + 3*h - 1. Let d | {
"pile_set_name": "DM Mathematics"
} |
r of c and q?
39
Let a(y) be the first derivative of y**2 - 2*y - 8. Let j be a(4). Calculate the highest common factor of j and 42.
6
Let j be 66/8 - 1/4. Let c = 2223 - 2207. What is the highest common factor of c and j?
8
Let l be (-1232)/484*33/(-6). Let j(d) = d**3 + 3*d**2 + 2*d - 4. Let x be j(3). What is the highest common divisor of l and x?
14
Let z(v) = 8*v**2 - 12*v + 43. Let g be z(4). Calculate the greatest common factor of 3 and g.
3
Suppose -2*p = 4, 4*v - 3*p = 5*v - 15. Calculate the highest common factor of 21 and v.
21
Suppose 5*n - 135 = -4*v, 49*n - 44*n - 5*v = 135. What is the greatest common divisor of n and 261?
9
Let j be (119/(-68))/(1/(-40))*3. Calculate the greatest common factor of j and 168.
42
Suppose -2*v + 145 = 5*o, 0 = 2*v + 2*o - 164 + 16. Let g(n) = 5*n + 2*n + 3*n**2 + 3 - 2*n. Let a be g(-3). What is the highest common factor of a and v?
15
Let y = -66 - -90. Suppose 0 = -s + 4*t, -3*s + 2*t = -5*s. Suppose s = -5*i + 3*l - 8 + 65, -3*l = -4*i + 45. Calculate the highest common divisor of y and i.
12
Let d(b) = 9*b**2 - 3*b - 69. Let y(n) = -4*n**2 + n + 34. Let t(k) = -3*d(k) - 7*y(k). Let x be t(7). Calculate the highest common divisor of x and 48.
16
Suppose -21 = -3*w + 3*h, -w - h - 3*h + 7 = 0. What is the highest common divisor of 77 and w?
7
Suppose 4*z - 6 = 30. Let x be (-3)/z + 43/3. What is the highest common divisor of x and 28?
14
Let z(p) = 16*p**2 - 11*p + 2. Let t be z(-2). Calculate the highest common factor of t and 24.
8
Let c be 5/((-5)/(-2)) - 4*-3. What is the greatest common divisor of 294 and c?
14
Suppose p = 3*p - 12. Let b be 7/(84/80)*72/10. Calculate the highest common factor of b and p.
6
Let p be 24/(-132) + (-24)/(-11). Suppose 4*u - 484 = -4*g, -2*u = 5*g + p*u - 610. What is the greatest common divisor of 7 and g?
7
Let g(d) = 2*d**2 - 20*d - 182. Let u be g(-6). Calculate the highest common divisor of u and 125.
5
Let y be 1/(-2)*2 + 1. Let v(i) = -i**3 + 8*i + 4*i**2 + y*i**3 - i - 5 - 3*i. Let o be v(4). What is the greatest common divisor of 1 and o?
1
Let h(o) = -41*o + 2. Let f be h(-5). Suppose -b = 4 - 27. Calculate the highest common divisor of b and f.
23
Suppose 0 = -51*d + 61*d - 2250. Let w = -48 + 73. What is the greatest common divisor of d and w?
25
Let r = 412 - 399. What is the highest common divisor of r and 741?
13
Suppose 5*d = -3*u + 2521, 6*u - 494 = -d + 2*u. What is the greatest common divisor of d and 22?
22
Suppose -2*d - 15 + 111 = 0. What is the greatest common factor of d and 2?
2
Let s(k) = 7*k. Let c be s(3). Suppose -3*x + 15 = 3*b, -11*b + 10*b - 4*x = -2. What is the highest common factor of b and c?
3
Let n = 13 - 11. Suppose -n*j + 31 = -3*m - 16, -j - 4*m = 4. Suppose -p + 38 = -j. Calculate the greatest common factor of p and 6.
6
Let s be (-432)/(-20)*65/2. Suppose l = 2*n + 139, 5*l - 2*n - s = n. Suppose 605 = 4*r + l. What is the highest common divisor of 29 and r?
29
Let x(r) = -r**2 - 2*r + 1. Let y be x(-3). Let k be 1 + 2 - (-3 - y). Let t be (78/(12/k))/1. Calculate the greatest common factor of 130 and t.
26
Let k = 1237 - 1192. Calculate the greatest common factor of 240 and k.
15
Let n be 14 - (1 + 1/1). Let i be 0/6 + 4/2. Suppose -5*a + 22 = -2*z, -i*a + 0*z - 2*z = -6. What is the greatest common factor of a and n?
4
Suppose 798 + 7 = 23*j. Let p = 796 - 516. What is the greatest common divisor of j and p?
35
Suppose o - q = 729, 2*o + 27*q - 31*q = 1464. What is the highest common divisor of 66 and o?
66
Suppose -t + 384 = 5*b, 0*b - 2*b = -t + 349. Let s be -8 - t - (-1 + 1). Let p = -215 - s. Calculate the highest common divisor of p and 19.
19
Let w be 45 - 0 - (-3 + 2)*1. Let i = -39 + w. What is the highest common factor of 56 and i?
7
Let i(m) = -m**2 - 18*m - 29. Let w be i(-16). Let d(b) = 15*b**2 - 3*b + 2. Let k be d(w). What is the highest common factor of 32 and k?
32
Let j be ((-2)/(-4))/((-3)/(-2 - 172)). Let c = 31 - j. What is the highest common divisor of c and 8?
2
Let c be ((-8)/6 - 1/(-1))*0. Let k be c + (-8 - -5) - -29. Calculate the greatest common divisor of 13 and k.
13
Let f(o) = -o**2 - 18*o - 27. Let i be f(-16). Let q be (-2 - (-4)/3)*-3. Let w be q - 4 - (-55 - 2). What is the greatest common divisor of i and w?
5
Let f = 169 + -301. Let s = 188 + f. Calculate the greatest common factor of 448 and s.
56
Suppose -92 = -5*h + 2*t, 5*h + 3*t + 0*t - 87 = 0. What is the highest common divisor of 27 and h?
9
Let i be -3 + 74*2/4. Let f(d) = -4 - 4*d - 15*d + 2. Let z be f(-1). Calculate the highest common divisor of i and z.
17
Let n(c) = -c**3 + 4*c**2 + 9*c - 11. Suppose 2*u - 1 = -3*b, 5*u = -7*b + 4*b + 16. Let p be n(u). Calculate the greatest common factor of p and 3.
3
Suppose h + 3 - 54 = 0. What is the highest common divisor of h and 187?
17
Suppose 3*m = 2*a - 212, -8*a - 120 = -9*a - 2*m. Calculate the highest common divisor of 280 and a.
56
Let i(s) = s**3 + 15*s**2 - 34*s + 23. Let d be i(-17). Let m = d + -18. Calculate the highest common factor of m and 5.
5
Suppose -2*d = -3*d + 1. Let c = -89 - -105. Let i = d + c. Calculate the highest common factor of 17 and i.
17
Let m(v) = v**2 + 12*v + 128. Let i be m(-24). Calculate the highest common divisor of 156 and i.
52
Suppose -6*g + 4*g - 6 = 0. Let q be g/(-3*1/11). Let d be 131/6 + (-3)/(-18). Calculate the greatest common factor of d and q.
11
Suppose 12*t = 100 + 104. Calculate the highest common divisor of 17 and t.
17
Let h = 1206 + -1071. Let k be (9/2)/((-1)/(-6)). What is the highest common factor of k and h?
27
Let z be (0 - (3 - -3))*(-3 - 1). Let y(u) = u + 20. Let p be y(-8). What is the highest common divisor of p and z?
12
Let x be (10/15)/((-1)/3). Let c be (-333)/(-6) + (-1)/x. Suppose 4*m + 1 = 561. Calculate the greatest common factor of c and m.
28
Let d be ((-42)/10)/(17/85). Let x be (44/33)/((-2)/d). Calculate the greatest common divisor of 14 and x.
14
Let s(u) = u**3 - 8*u**2 - 16*u - 26. Let z be s(11). What is the highest common factor of 69 and z?
23
Suppose 26*s + 63 = 35*s. What is the highest common divisor of s and 91?
7
Suppose -5*d - 3*w = -432, -9 = -2*w - 1. Suppose -5*g + d = -46. What is the highest common factor of 39 and g?
13
Suppose -49*m + 35*m + 756 = 0. What is the highest common divisor of 27 and m?
27
Suppose -2*w + 3*o + 69 - 12 = 0, 159 = 5*w - 2*o. What is the greatest common factor of 11 and w?
11
Let g(f) = 7*f + 22. Let h be g(2). Suppose b + 9 = -0*b. Let p be (-162)/4*12/b. Calculate the highest common divisor of h and p.
18
Suppose 126 = 10*n - 44. Let o(w) = 4*w**3 - 4*w**2 + 3*w - 3. Let v be o(4). Suppose -5*z + 881 = v. What is the greatest common factor of n and z?
17
Let h(m) = -m**3 - 22*m**2 + 26*m + 103. Let l be h(-23). Calculate the greatest common factor of l and 459.
17
Suppose 2*p + 1 = 7. Suppose -k - p = -8. Suppose 0*u + k*u = 440. What is the highest common factor of u and 11?
11
Let f(k) = -9*k**2 - 33*k + 21. Let u(p) = 13*p**2 + 50*p - 32. Let o(t) = -7*f(t) - 5*u(t). Let s be o(-9). Calculate the highest common divisor of 2 and s.
2
Let r = -133 - -341. Let p = r - -243. Calculate the greatest common divisor of p and 41.
41
Let j = 818 + -514. What is the highest common factor of 16 and j?
16
Let a be (-12)/8*(-16)/6. Suppose -5*l + 50 = 5*b, 2*b - 6 = -b. What is the highest common divisor of a and l?
4
Let a(c) = 129*c**2 + 4*c - 3. Let o be a(2). Suppose -3*x - 668 = -5*t, 2*x - 4*x - 477 = 3*t. Let g = o + x. What is the greatest common factor of 29 and g?
29
Let n be (-36 - 0/1)*8/(-12). Let t = -67 - -163. Calculate the highest common divisor of t and n.
24
Let t be 43 - (-20)/5 - (6 + -7). Calculate the highest common factor of t and 1.
1
Let y(d) = d**3 - 12*d**2 + 4*d - 7. Let o be y(14). Calculate the greatest common factor of 49 and o.
49
Let m = 370 - 355. Calculate the highest common divisor of 20 and m.
5
Suppose 3*k + k + 1 = u, -u + 2*k - 5 = 0. Let n = u - -12. Let p be -1 + n + 0 + 81. Calculate the highest common divisor of 9 and p.
9
Suppose 0 = 5*q - 7*q + 304. Suppose 0*j - 4*j = -q. What is the highest common factor of j and 304?
38
Let x(j) = 6*j - 36. Let y be x(8). Let m be (-7 + (-114)/y)*16/(-6). Calculate the highest | {
"pile_set_name": "DM Mathematics"
} |
ppose 25*x = 29*x - 364. Let r = 241 - x. Is r a multiple of 50?
True
Let s(v) = v**2 - 12*v - 7. Let p be s(9). Let k = p + 47. Does 9 divide k?
False
Let v = -6 - 24. Suppose 4*k - 13 = 19. Let l = k - v. Is l a multiple of 16?
False
Does 8 divide (-2)/13 - 27904/(-208)?
False
Is (78 - 0)*((-8)/(-16))/1 a multiple of 10?
False
Suppose -1551 = -42*q + 2901. Does 57 divide q?
False
Let j(v) = v + 1. Let c(m) = 20*m + 30. Let s(n) = -c(n) + 6*j(n). Is s(-3) a multiple of 3?
True
Let d be 2/(-1)*21/(-3). Let m = d + -9. Suppose 4*u + 40 = 2*v, -2*u + 52 = -0*v + m*v. Is 4 a factor of v?
True
Let l(m) = -m - 15. Let i be l(-13). Let y be 0 + 0 - (-3 + i). Let s = 31 - y. Is s a multiple of 10?
False
Let k(j) = -3*j**2 - 34*j + 29. Is k(-11) a multiple of 20?
True
Let b(z) = z**3 - z**2 - z + 1. Let a(j) = 6*j**3 - 15*j**2 + 12*j + 13. Let g(n) = a(n) - 5*b(n). Is g(9) a multiple of 5?
True
Let w(h) = -h - 8. Let q be w(-13). Suppose -4*c + c + q*b + 209 = 0, 267 = 4*c + 5*b. Does 17 divide c?
True
Let g(t) = 1903*t**2 - 12*t - 11. Is 16 a factor of g(-1)?
True
Suppose 0 = 2*j - 5*h + 16, 0 = -4*j - h + 12. Let f = j - -81. Suppose -4*p + 5*l = -198 - f, 0 = p - 3*l - 72. Is p a multiple of 23?
True
Suppose 9*b = -26*b + 82985. Is 47 a factor of b?
False
Let r(l) = l**3 - 3*l + 2. Let d be (0 - 3) + 8/(-8). Let t be r(d). Let b = -18 - t. Does 13 divide b?
False
Suppose 0 = 5*s - 15 - 5. Let d = s + 35. Suppose 3*v = d - 0. Is 10 a factor of v?
False
Let z(p) = -80*p + 159. Is z(-18) a multiple of 33?
False
Let j(d) = 5*d**2 + 17*d + 55. Is 7 a factor of j(-3)?
True
Is 16 a factor of 2/3*31455/18?
False
Let z(x) = -2*x + 61. Is z(8) a multiple of 5?
True
Suppose -3*l + 8*l + 3*a = 160, -2*l + 5*a + 95 = 0. Let c = l + 89. Does 36 divide c?
False
Let h(b) = 35*b**2 + 13*b - 42. Is 52 a factor of h(3)?
True
Let f(h) be the third derivative of h**4/24 + 7*h**3/3 + 15*h**2. Does 4 divide f(7)?
False
Let k = 2542 + -1759. Is 11 a factor of k?
False
Let u = -637 - -994. Is 12 a factor of u?
False
Let m be 8/60 + 28/15. Suppose 3*d - 138 = -3*f, m*d - 2 = -f + 39. Is f a multiple of 16?
False
Let l(b) = 3*b**2 + 4*b - 4. Does 10 divide l(4)?
True
Let p(n) = -3*n - 5. Let t be (-25)/4 - 1/(-4). Let f(m) = -2*m - 4. Let s(j) = t*f(j) + 5*p(j). Is s(-11) a multiple of 24?
False
Let h(g) = -10*g + 17*g - 10*g + 15. Let o be h(5). Let p(y) = -y**3 + y**2 + y + 83. Is p(o) a multiple of 15?
False
Suppose -6*f + 13*f + 98 = 0. Is (-1740)/f - (-4)/(-14) a multiple of 31?
True
Let u = 11 + -9. Suppose -6*w + u*w + 12 = 0. Suppose w*s = -3*b + 87, -3*b = -2*s + b + 88. Is 21 a factor of s?
False
Let z = -12 + 20. Suppose 2*g + z = -4*j, 5*j + 0*j + 13 = -4*g. Is 12 a factor of (-220)/(-6) + g/3?
True
Is 47 a factor of 3769 - 12/(-60)*-45?
True
Let d(r) = -r**2 - r + 2. Let g be d(1). Suppose -2*x = 5*t - 18, -2*t + 2*x - 7*x + 3 = g. Suppose -4*m + t + 8 = 4*n, -m + 18 = 4*n. Is n a multiple of 5?
True
Let g = 180 - 92. Let r = g + -46. Is r a multiple of 9?
False
Suppose -12*b + 3 = -15*b, 5*b + 2268 = c. Is 73 a factor of c?
True
Let j be -1*4/(16/(-4)). Suppose -a + 6 = j. Suppose -a*s + 81 = -4*t, -2*t = s - 2*s + 15. Does 17 divide s?
True
Suppose -h - 3*l = 4, 0 = -7*h + 2*h - l - 6. Does 14 divide -3 - (h + 253)/(-3)?
False
Let z(h) = -68*h - 5. Let v(f) = -2*f**2 + 29*f + 14. Let i be v(15). Is z(i) a multiple of 15?
False
Suppose -189*j + 181*j = -15928. Is 14 a factor of j?
False
Is 55*(-340)/(-15) - (-2)/6 a multiple of 29?
True
Suppose -4*a = -2*v + 3190, -v + 3*a = v - 3188. Is v a multiple of 37?
True
Suppose 2*b + 16 = 8. Let q(j) = j**3 + 4*j**2 + j + 4. Let c be q(b). Does 23 divide (c - 23)/(12/(-24))?
True
Suppose -2*s + 2*g = -5*s - 11, -2*s + 4*g = 2. Let i(q) be the third derivative of q**6/120 + q**5/12 + 5*q**4/24 + 5*q**3/6 + q**2. Does 8 divide i(s)?
True
Let l(i) = 2 + 12*i**2 + i**3 - 7*i + 3 + 8. Let z be l(-12). Let p = z - 60. Is p a multiple of 10?
False
Suppose 2*b - 5*g - 1215 = 0, 3*g = -3*b + 2095 - 304. Is 14 a factor of b?
False
Suppose -6 = -2*k - k. Suppose 0 = 5*u + 5, t - u - 34 = -k*u. Is 35 a factor of t?
True
Let x(u) be the third derivative of -u**6/120 - u**5/12 - u**4/24 - u**3/2 - 2*u**2. Let a be x(-5). Is 4 a factor of a*((-108)/(-8))/3?
False
Let s = -178 + 379. Does 10 divide s?
False
Suppose -5*z + 2*z = -3*m + 6, 4*m = -3*z + 8. Suppose -p + 155 = 2*w - 0*w, -m*p + 158 = 2*w. Does 38 divide w?
True
Suppose -37*k + 35*k + 2 = 0. Let j(h) = -62*h + 11. Let r(z) = -21*z + 4. Let y(w) = -6*j(w) + 17*r(w). Is y(k) a multiple of 4?
False
Suppose 6*k = 91 + 1061. Is k a multiple of 10?
False
Suppose 2150 + 34 = 4*w. Does 26 divide w?
True
Suppose -2 = -u + 7. Suppose -2*l - 3*z - u = 0, 0 = -4*l - z - 4 + 1. Suppose 5*i + 0*i - 360 = l. Is i a multiple of 24?
True
Does 16 divide 28/(-7) - -3 - -278?
False
Suppose -19*m + 21*m - 3588 = 0. Does 108 divide m?
False
Let g(u) = u**3 - 7*u**2 + 4. Let f be g(7). Suppose 4 = 4*l + f*b, -4*l - 4*b - 31 = -7*l. Suppose -8*d + 81 = -l*d. Is 16 a factor of d?
False
Let h(t) = -t**3 + 11*t**2 + 44*t - 10. Is h(13) a multiple of 4?
True
Suppose 4*o + 741 = a, -3*o = -4*a + 9*a - 3705. Is 86 a factor of a?
False
Let a be (15/(-6) - 0)*20. Let g = -32 - a. Suppose -3*f = -0*f - g. Is f a multiple of 4?
False
Suppose 0 = -p + 293 + 715. Let b = p + -576. Suppose -3*a - 2*l + 540 = 2*a, l = -4*a + b. Does 31 divide a?
False
Let l = -2339 - -4373. Is 43 a factor of l?
False
Let h = 3760 - 678. Is 67 a factor of h?
True
Suppose -2*p + 44 = -3*a, 4*a - 4*p - p = -68. Is (-498)/a - (-9)/(-6) a multiple of 10?
True
Let g = -83 + 70. Let t = 271 + g. Is 31 a factor of t?
False
Let w(i) be the second derivative of -i**3/3 - 44*i. Suppose 0 = -5*o - 3*l - 8 - 15, -3*o = -2*l + 29. Is 11 a factor of w(o)?
False
Suppose 0 = -y + 8 - 2. Does 14 divide (129/y)/(7/14)?
False
Let z(u) = -u**2 - 7*u - 4. Let a be z(-2). Let q = 12 + a. Is q a multiple of 9?
True
Let m(y) = 5*y**3 - 40*y**2 - 2*y - 19. Does 29 divide m(10)?
False
Let x(b) = 5 - b**2 + b + 2 - 8*b. Suppose 0 = -4*z + 5*t - 3, 19 = 6*z - 8*z - t. Is 7 a factor of x(z)?
True
Suppose -4*l + v = -1625, 4*l - 2*v - 1257 = 373. Suppose -3*j + a + l = -121, 0 = 5*j + 3*a - 886. Suppose -2*t + j = -0*t. Is t a multiple of 23?
False
Let w(f) = -16*f + 9. Let l be w(-4). Suppose -l*b - 51 = -76*b. Does 2 divide b?
False
Let l(f) = -6*f. Let p be l(-8). Suppose -5*b + p = -57. Is b a multiple of 3?
True
Suppose -5*x = 2*c - 274, 0 = -3*c - 3*x + 596 - 167. Is 3 a factor of c?
True
Let j(k) = 10*k - 16. Let a(i) = i**3 + 5*i**2 - 13*i + 13. Let v be a(-7). Is j(v) a multiple of 15?
False
Let n = -44 - -97. Let a = 143 - n. Is a a multiple of 15?
True
Let s(t) = t**2 - t - 23. Let l(c) = -c**2 + 1. Let m(u) = -2*l(u) - s(u). Does 18 divide m(9)?
False
Suppose 2*n + 5*f = 387, 3*f = 3*n + 6*f - 567. Does 9 divide n?
False
Let f(s) = -16*s**2 + s + 1216. Does 45 divide f(0)?
False
Suppose -5*z - 2*z + 2730 = 0. Suppose 8 = -2*f - 3*b - 9, -2*f = 4*b + 16. Does 13 divide (z/(-25))/(3/f)?
True
Let n = -194 - -223. Is n even?
False
Suppose 0*z + 5*z + 2*g - 465 = 0, -z - 2*g + 85 = 0. Is 6 a factor of z?
False
Suppose b + 4*t - 17 = -0*b, 5*t = -4*b + 35. Let x(l) = 6*l - b - 8 + 2 - 1. Is x(10) a multiple of 6?
True
Let n(m) = m**3 - 3*m**2 - 4*m - 11. Suppose -u - 3 = 0, -s - 2*u = -3*u - 8. Is n(s) a multiple of 5?
False
Suppose 639*v = 637*v + 3502. Is 26 a factor of v?
False
Let q be (2/1)/(-2) - -4. Suppose -14*k = -10*k + 16, -3*k + 213 = -5*t. Does 6 divide ((-2)/5)/(q/t)?
True
Suppose 3*j + 32 = 182. Suppose 10*r - j = 9*r. Is 10 a factor of r?
True
Let m(l) = 2*l**2 - l - 2. Let r = -10 + 6. Let x be m(r). Suppose 2*i = -3*y + 34, x = 2*i + 2*y - 0*y. Is i a multiple of 17?
True
Suppose -2*r + 400 = -2*f - 746, 579 = r + f. Is r a multiple of 64?
True
Does 14 divide 5518*(-3)/(-9) - 92/(-138)?
False
Suppose -2*v + 444 = -2*c, v + 4*c + 11 = 223. Suppose 0 = -0*o + 3*o + 9, 5*o = -5*z + v. Is z a multiple of 44?
False
Let t(a) be the first derivative of -a**4/4 - a**3 + 4*a**2 - 6. Let h(m) = m - 6. Let k be h(0). Is t(k) a multiple of 20?
True
Is 18 a factor of 1020 + 7 + 98/(-7)?
False
Let l be -1 + (-2 - -4) + 1. Suppose l*r - 4 = 2. | {
"pile_set_name": "DM Mathematics"
} |
- 7 = 0. Let s(i) = -89*i - 30. Calculate the remainder when s(v) is divided by q.
29
Calculate the remainder when (-2)/(-5) + (-999)/(-15) is divided by 94/14 - 14/(-49).
4
Let r(m) = 1131*m**2 + 6*m + 3. Calculate the remainder when r(-1) is divided by 11.
6
Let u(g) = -4*g**3 + 68*g**2 + 77*g - 37. What is the remainder when 1866 is divided by u(18)?
11
Suppose 11*g + 4*i = 7*g + 25604, 0 = g - 4*i - 6426. Calculate the remainder when g is divided by 17.
14
Let d(r) = 74*r + 26. Let g be d(6). Suppose -3*q - 1564 = -4*t, -3*t + q + 708 = -g. Calculate the remainder when t is divided by 18.
16
What is the remainder when 17 is divided by -9*323/(-153) - (1 - -1)?
0
Let t be (21/12)/(4/16). Suppose 0 = 2*r + t - 91. Let f(z) = -77*z - 139. Calculate the remainder when r is divided by f(-2).
12
Suppose -w = 2*w + 2*t - 62, 2*t - 84 = -4*w. Suppose 2*n + 250 = 2*l - 0*l, 3*l - 387 = -n. Calculate the remainder when l is divided by w.
18
Let n = 11514 - 10298. What is the remainder when n is divided by 180?
136
Let v(w) = 5*w**2 - 34*w + 120. Suppose 2*n - 379 = -3*f, 5*f + n - 444 = 197. Suppose f = 17*s - 14*s. What is the remainder when v(8) is divided by s?
39
Suppose 11069*n - 11067*n = 210. What is the remainder when 112 is divided by n?
7
Let a(l) = -7*l - 60 + 13*l**2 + 25 + 22 + 24. What is the remainder when a(-4) is divided by 125?
122
Let y be ((-7)/2)/((-13)/(-130)). Let b = y - -49. What is the remainder when 40 is divided by b?
12
Suppose -4*q = 2*h - 88, 39*q - 44*q = h - 101. Suppose -5*f = -3*f - 18. Calculate the remainder when q is divided by f.
1
Suppose 17*m - 170 - 58 = 13*m. What is the remainder when 278 is divided by m?
50
Let o(x) = 323*x + 3564. Calculate the remainder when 3222 is divided by o(-11).
10
Suppose -3*k + 0 = -9. Let c = -406 + 436. Calculate the remainder when c is divided by -1 - k - -3 - (-36)/4.
6
Suppose -2*v + 266 = 2*i, -5*i - 157 = 54*v - 55*v. What is the remainder when 338 is divided by v?
64
Let i(h) = 59*h**2 - h. Suppose -3*k - 3*j = -48, -7*k + 6*j = 7*j - 112. Calculate the remainder when i(-1) is divided by k.
12
Let w(c) = 17*c**2 - 79*c + 149. Let j(p) = 4*p**2 - 20*p + 37. Let f = 1 - -8. Let m(s) = f*j(s) - 2*w(s). Calculate the remainder when m(14) is divided by 30.
29
Let d = 283 - 157. Let g = d + -89. Calculate the remainder when 73 is divided by g.
36
Suppose 0 = -48*a + 3545 + 3703. Let c(u) = -u**3 - u**2 + 13*u + 4. Calculate the remainder when a is divided by c(-5).
34
Let s(z) = 190*z**2 - 8*z + 6. Let m be s(1). Let r = 192 - m. Calculate the remainder when 18 is divided by r.
2
Let k(g) = -g**3 + 9*g**2 - 61*g + 195. What is the remainder when 351 is divided by k(4)?
10
Let z(k) = k**2 - 24*k + 67. Let s be z(21). Suppose 39 = -s*v + 47. Suppose -7 + 47 = 4*j. Calculate the remainder when j is divided by v.
0
Suppose n + 2*b - 70 = 0, 4*b - 6 = 10. Calculate the remainder when 65 is divided by n/4 + (-9)/72*-12.
14
Let h be (-25)/(-30) + 20/(-24). Suppose -4*c + 3*r + 0*r + 28 = 0, h = -4*r. Calculate the remainder when 27 is divided by c.
6
Let i(t) = 7*t**3 - 7*t**2 + 33*t + 10. What is the remainder when i(4) is divided by 48?
46
Let j(v) = 3*v + 5 + 17 - 1 + 7. Let d = 14 - 7. What is the remainder when j(d) is divided by 17?
15
Let k(w) = 4*w + 0 + 2*w + 3 - w + w**2. Let t = 108 - 102. What is the remainder when k(t) is divided by 10?
9
Suppose -4*x - 2047 = 3*x - 96*x. What is the remainder when 1560 is divided by x?
19
Suppose 4933 - 29395 - 8488 = -25*d. Calculate the remainder when d is divided by 60.
58
Suppose u - 114 = 3*r, 501*u = 497*u + r + 533. What is the remainder when u is divided by 35?
30
Suppose 4*d = 96 + 40. Suppose -9*y = -y - 312. Let f = 51 - y. What is the remainder when d is divided by f?
10
Let u = 176 + -176. Suppose y - 45 + 4 = u. What is the remainder when 162 is divided by y?
39
Let l(n) = n**2 + 9*n - 2. Let x = 1131 - 1067. What is the remainder when x is divided by l(-12)?
30
Let j = -50 - -80. Calculate the remainder when 125 is divided by 320/25*j/12.
29
Let o(i) be the second derivative of 0 + 1/2*i**2 - 1/6*i**3 + 1/20*i**5 - 1/12*i**4 + 39*i. Calculate the remainder when o(0) is divided by 1.
0
Suppose -11 - 19 = -3*i. Let j(r) = -r**2 - 9*r + 155. Calculate the remainder when j(8) is divided by i.
9
Let n = -376 - -463. What is the remainder when 1042 is divided by n?
85
Suppose -h - 28*h + 109 = -94. What is the remainder when 1455 is divided by h?
6
Let a = -18 + 18. Let i be -1*2/(-4)*a. Suppose i = -b - 59 + 249. What is the remainder when b is divided by 24?
22
Let l be (-1)/(-3) - 2074/(-6). Suppose 0 = -y + 2*y - l. What is the remainder when y is divided by 58?
56
Let x = -5921 - -5959. What is the remainder when 366 is divided by x?
24
Suppose 4*m - 1516 = -3*u, -3*u - 698 - 794 = -4*m. What is the remainder when m/14 - 19/(-133) is divided by 3?
0
Let a(g) = -g**3 - 34*g**2 + 60*g - 136. Calculate the remainder when a(-36) is divided by 38.
30
Let d(t) be the first derivative of t**3/3 + 15*t**2/2 - 10*t - 5. Let s be d(-16). Suppose s*w = 3*w + 36. What is the remainder when 35 is divided by w?
11
Suppose 2*p = -o + 257, 2*o + 317 - 63 = 2*p. What is the remainder when 7678 is divided by p?
126
Suppose -1274 = -2*y - 2*v, 4*y + v - 2023 = 510. Suppose 2*a = -8, a = 37*z - 41*z + 472. What is the remainder when z is divided by (-2)/(-8) + y/32?
19
Suppose 4*u + 298 = -5*q, -2*u = -4*q + 55 + 107. Let k = 68 + u. Let o(i) = -i**3 - 11*i**2 - 21*i - 10. What is the remainder when o(k) is divided by 6?
5
Let x = 219 + -216. Suppose -4*w + x*s + 199 = -2*s, 0 = -2*s + 10. What is the remainder when 153 is divided by w?
41
Suppose 5*b - 2*b + 13 = m, -5 = -2*m - b. Suppose -m*u - 3*u = -476. Let n(k) = -25*k - 213. What is the remainder when u is divided by n(-9)?
8
Let f(o) = 2*o**3 + 138*o**2 - 17*o - 351. Suppose 0*m - 2*m = -3*l + 231, -4*l + 288 = 4*m. Calculate the remainder when f(-69) is divided by l.
72
Let i = -43151 + 43177. Calculate the remainder when 2637 is divided by i.
11
Let w(p) = 110*p - 227. Let z be w(16). What is the remainder when (-23)/((4 - 0) + z/(-378)) is divided by 32?
30
Suppose -7*t + 3*j = -298, -9*j + 10*j - 216 = -5*t. Calculate the remainder when 385 is divided by t.
41
Suppose 2*g - 85 = -w, 531 = 5*w + 4*g + 136. Suppose w = 4*f - f. Calculate the remainder when 63 is divided by f.
13
Suppose 5*h - 170 = 4*b, -4*b - 75 - 19 = -3*h. Let v(x) = 4*x**3 - 5*x**3 + 152 + 5*x - 154. Calculate the remainder when h is divided by v(-3).
8
Calculate the remainder when 27478 is divided by ((-180)/33)/(46/(-253)).
28
Let c = -72 + 77. Suppose 5*q = -3*x + 53, -3*q + c = -2*q - 5*x. What is the remainder when q is divided by (-128)/(-20) + 4/(-10)?
4
Let s(j) = -28*j - 289. Let a(p) = -30*p - 286. Let c(i) = -3*a(i) + 2*s(i). Calculate the remainder when c(-8) is divided by 7.
1
Suppose -11*b - 44 = -132. Let i be b + (-5 - 4/(-2)). Suppose -2*t + i*v - 18 = -6*t, 3*t - 8 = -v. What is the remainder when 10 is divided by t?
0
Suppose v + 5*p = 6*v - 80, -2*v + 5*p + 35 = 0. What is the remainder when 43 is divided by 17/68 + v/4?
3
Suppose -4*c = -98 + 30. Suppose 4*v + 419 = 5*x, -2*x - v = -0*x - 165. Let g = 145 - x. Calculate the remainder when g is divided by c.
11
Let j = -3 - -13. Suppose -4*o = 3*d - 1, -22*o - 4*d = -17*o. Calculate the remainder when j is divided by o.
2
Suppose -11*w + 20*w = 36. Suppose 3*h - 3*v - 219 = 0, -w*h = -9*h - 4*v + 383. Calculate the remainder when h is divided by 38.
37
Let o(z) = -z**3 - 8*z**2 - 4*z + 4. Let l be o(-7). What is the remainder when -1 - (2 + -3 + l) is divided by 164/(-8) - -26 - 1/2?
2
Let z(t) = 7 + 77 + 7 + 16*t - 2*t**2 + 3*t**2. Let b(w) = -4*w - 23. Let n(m) = 9*b(m) + 2*z(m). Calculate the remainder when n(-6) is divided by 15.
11
Suppose -4*d + 5*o = -481, d + o - 165 = -47. What is the remainder when d is divided by (-3117)/(-51) + 18/(-153)*1?
58
Suppose -675 = -23*p + 2131. Calculate the remainder when p is divided by 21.
17
Let x = 2840 + -2826. What is the remainder when 103 is divided by x?
5
Suppose -2*g = 3*k - 269, -2*g - 3*k = -6*g + 565. Let q = -91 + g. What is the remainder when 333 is divided by q?
45
Suppose 5*l - 4 | {
"pile_set_name": "DM Mathematics"
} |
are there between 3:37 AM and 12:23 PM?
526
What is 400 minutes after 12:48 AM?
7:28 AM
What is 323 minutes after 11:29 AM?
4:52 PM
How many minutes are there between 6:18 AM and 1:17 PM?
419
How many minutes are there between 10:16 PM and 1:22 AM?
186
What is 491 minutes before 3:46 PM?
7:35 AM
How many minutes are there between 7:39 AM and 9:23 AM?
104
What is 345 minutes before 4:35 PM?
10:50 AM
What is 482 minutes before 12:16 AM?
4:14 PM
How many minutes are there between 5:22 AM and 6:11 AM?
49
What is 491 minutes before 12:47 AM?
4:36 PM
How many minutes are there between 4:47 PM and 11:25 PM?
398
How many minutes are there between 2:06 AM and 4:07 AM?
121
How many minutes are there between 9:25 PM and 8:29 AM?
664
What is 634 minutes before 2:13 AM?
3:39 PM
How many minutes are there between 4:33 PM and 12:57 AM?
504
What is 605 minutes after 12:59 PM?
11:04 PM
How many minutes are there between 6:30 PM and 9:41 PM?
191
What is 419 minutes after 8:21 PM?
3:20 AM
How many minutes are there between 12:09 PM and 8:02 PM?
473
How many minutes are there between 4:16 PM and 2:00 AM?
584
What is 101 minutes before 12:55 AM?
11:14 PM
What is 197 minutes before 7:02 AM?
3:45 AM
What is 317 minutes after 2:12 PM?
7:29 PM
What is 235 minutes after 4:23 AM?
8:18 AM
What is 387 minutes before 7:15 AM?
12:48 AM
How many minutes are there between 12:16 PM and 8:02 PM?
466
How many minutes are there between 2:22 PM and 12:32 AM?
610
How many minutes are there between 3:27 AM and 5:39 AM?
132
What is 223 minutes after 9:41 PM?
1:24 AM
What is 572 minutes before 1:59 AM?
4:27 PM
What is 123 minutes after 9:58 PM?
12:01 AM
What is 400 minutes after 8:47 AM?
3:27 PM
What is 303 minutes after 3:05 PM?
8:08 PM
How many minutes are there between 6:33 PM and 6:12 AM?
699
What is 687 minutes after 7:12 AM?
6:39 PM
What is 670 minutes after 9:41 AM?
8:51 PM
What is 584 minutes after 8:40 PM?
6:24 AM
How many minutes are there between 11:39 PM and 9:25 AM?
586
What is 466 minutes before 1:25 AM?
5:39 PM
What is 677 minutes before 6:42 AM?
7:25 PM
What is 710 minutes before 1:49 PM?
1:59 AM
How many minutes are there between 5:40 AM and 8:14 AM?
154
How many minutes are there between 8:45 PM and 7:54 AM?
669
How many minutes are there between 3:23 AM and 8:38 AM?
315
What is 488 minutes before 12:19 AM?
4:11 PM
What is 97 minutes before 3:19 PM?
1:42 PM
How many minutes are there between 4:45 PM and 7:56 PM?
191
How many minutes are there between 7:26 PM and 5:12 AM?
586
What is 209 minutes before 4:47 PM?
1:18 PM
How many minutes are there between 5:44 PM and 8:49 PM?
185
What is 657 minutes before 9:20 PM?
10:23 AM
How many minutes are there between 5:06 PM and 2:13 AM?
547
How many minutes are there between 3:27 PM and 8:19 PM?
292
How many minutes are there between 11:11 AM and 1:44 PM?
153
How many minutes are there between 11:20 AM and 6:18 PM?
418
How many minutes are there between 2:01 PM and 4:29 PM?
148
What is 402 minutes before 8:36 PM?
1:54 PM
How many minutes are there between 10:38 AM and 7:05 PM?
507
What is 570 minutes before 9:23 PM?
11:53 AM
What is 302 minutes after 7:02 PM?
12:04 AM
What is 6 minutes after 12:38 PM?
12:44 PM
How many minutes are there between 12:28 PM and 11:45 PM?
677
How many minutes are there between 10:35 PM and 3:56 AM?
321
How many minutes are there between 10:11 AM and 12:14 PM?
123
How many minutes are there between 1:03 PM and 12:42 AM?
699
How many minutes are there between 6:38 PM and 1:16 AM?
398
What is 685 minutes before 8:39 AM?
9:14 PM
How many minutes are there between 5:19 PM and 2:43 AM?
564
What is 493 minutes after 5:21 PM?
1:34 AM
How many minutes are there between 6:05 AM and 2:51 PM?
526
What is 367 minutes before 12:12 AM?
6:05 PM
How many minutes are there between 10:44 PM and 9:25 AM?
641
How many minutes are there between 5:47 PM and 10:36 PM?
289
How many minutes are there between 11:46 AM and 10:22 PM?
636
What is 664 minutes before 5:35 PM?
6:31 AM
How many minutes are there between 10:41 PM and 5:27 AM?
406
What is 530 minutes after 12:57 PM?
9:47 PM
What is 620 minutes before 4:10 PM?
5:50 AM
How many minutes are there between 9:56 AM and 4:07 PM?
371
How many minutes are there between 12:59 PM and 3:14 PM?
135
How many minutes are there between 6:26 AM and 8:58 AM?
152
How many minutes are there between 4:29 PM and 2:10 AM?
581
What is 591 minutes before 8:14 AM?
10:23 PM
How many minutes are there between 2:37 PM and 12:29 AM?
592
How many minutes are there between 5:05 PM and 9:35 PM?
270
How many minutes are there between 2:23 PM and 1:53 AM?
690
How many minutes are there between 8:57 PM and 10:44 PM?
107
How many minutes are there between 3:44 AM and 6:18 AM?
154
How many minutes are there between 10:49 PM and 5:29 AM?
400
What is 525 minutes before 3:04 PM?
6:19 AM
What is 295 minutes after 10:58 AM?
3:53 PM
How many minutes are there between 11:16 AM and 3:07 PM?
231
What is 359 minutes before 9:17 PM?
3:18 PM
How many minutes are there between 11:49 AM and 10:46 PM?
657
What is 620 minutes after 7:04 AM?
5:24 PM
How many minutes are there between 5:59 AM and 6:38 AM?
39
What is 492 minutes before 5:36 AM?
9:24 PM
How many minutes are there between 11:57 PM and 9:06 AM?
549
How many minutes are there between 5:32 AM and 8:05 AM?
153
What is 92 minutes before 8:55 PM?
7:23 PM
How many minutes are there between 10:01 AM and 10:15 AM?
14
What is 36 minutes before 5:57 AM?
5:21 AM
What is 101 minutes before 3:38 AM?
1:57 AM
How many minutes are there between 3:12 PM and 5:13 PM?
121
What is 421 minutes before 4:16 AM?
9:15 PM
How many minutes are there between 10:36 AM and 9:58 PM?
682
How many minutes are there between 3:40 AM and 8:57 AM?
317
What is 446 minutes before 4:55 PM?
9:29 AM
How many minutes are there between 6:50 AM and 1:32 PM?
402
How many minutes are there between 12:47 AM and 11:23 AM?
636
How many minutes are there between 9:47 AM and 12:26 PM?
159
How many minutes are there between 11:21 PM and 8:51 AM?
570
How many minutes are there between 9:47 AM and 2:13 PM?
266
How many minutes are there between 1:04 PM and 12:46 AM?
702
How many minutes are there between 1:02 PM and 4:25 PM?
203
How many minutes are there between 11:35 AM and 2:14 PM?
159
What is 639 minutes before 12:25 PM?
1:46 AM
What is 710 minutes after 8:21 PM?
8:11 AM
How many minutes are there between 4:13 PM and 4:49 PM?
36
How many minutes are there between 7:12 AM and 3:23 PM?
491
How many minutes are there between 7:48 PM and 8:57 PM?
69
What is 345 minutes before 10:55 PM?
5:10 PM
What is 410 minutes before 1:37 PM?
6:47 AM
How many minutes are there between 3:02 AM and 12:26 PM?
564
How many minutes are there between 6:57 PM and 6:26 AM?
689
What is 320 minutes after 4:43 PM?
10:03 PM
What is 556 minutes after 3:47 PM?
1:03 AM
How many minutes are there between 9:14 PM and 2:17 AM?
303
What is 641 minutes before 5:31 PM?
6:50 AM
How many minutes are there between 5:50 AM and 11:00 AM?
310
How many minutes are there between 5:22 AM and 5:24 AM?
2
What is 252 minutes before 3:19 PM?
11:07 AM
How many minutes are there between 3:07 AM and 8:28 AM?
321
What is 703 minutes before 6:23 AM?
6:40 PM
What is 127 minutes after 3:05 AM?
5:12 AM
What is 283 minutes before 2:08 AM?
9:25 PM
What is 560 minutes before 11:30 AM?
2:10 AM
What is 592 minutes before 10:25 PM?
12:33 PM
How many minutes are there between 2:36 AM and 12:09 PM?
573
What is 528 minutes after 5:08 PM?
1:56 AM
How many minutes are there between 1:29 AM and 2:32 AM?
63
What is 148 minutes before 8:39 PM?
6:11 PM
What is 667 minutes after 8:47 PM?
7:54 AM
How many minutes are there between 7:53 AM and 6:03 PM?
610
What is 646 minutes after 6:16 AM?
5:02 PM
How many minutes are there between 3:27 PM and 4:19 PM?
52
How many minutes are there between 7:46 AM and 1:58 PM?
372
What is 597 minutes before 9:13 AM?
11:16 PM
What is 148 minutes after 10:30 AM?
12:58 PM
How many minutes are there between 10:35 AM and 10:45 AM?
10
What is 305 minutes before 3:31 PM?
10:26 AM
What is 693 minutes before 3:49 AM?
4:16 PM
How many minutes are there between 6:37 PM and 11:54 PM?
317
How many minutes are there between 8:40 PM and 9:22 PM?
42
What is 443 m | {
"pile_set_name": "DM Mathematics"
} |
What is the x'th term of 60, 22, -72, -246, -524?
-4*x**3 - 4*x**2 + 2*x + 66
What is the y'th term of 539315, 539314, 539313, 539312, 539311?
-y + 539316
What is the h'th term of 51, 191, 343, 513, 707, 931?
h**3 + 133*h - 83
What is the v'th term of 10895, 43582, 98049, 174290, 272299, 392070, 533597, 696874?
-v**3 + 10896*v**2 + 6*v - 6
What is the r'th term of -25331, -50659, -75987?
-25328*r - 3
What is the u'th term of 184373, 184370, 184363, 184352, 184337, 184318?
-2*u**2 + 3*u + 184372
What is the k'th term of 218517, 437027, 655537?
218510*k + 7
What is the s'th term of 103, 197, 361, 601, 923, 1333, 1837?
s**3 + 29*s**2 + 73
What is the g'th term of 519, 1024, 1521, 2004, 2467, 2904, 3309?
-g**3 + 2*g**2 + 506*g + 12
What is the n'th term of -1923, -1956, -2007, -2076, -2163, -2268?
-9*n**2 - 6*n - 1908
What is the p'th term of -584, -2390, -5400, -9614, -15032, -21654?
-602*p**2 + 18
What is the u'th term of 81929, 163861, 245793, 327725, 409657?
81932*u - 3
What is the p'th term of 751, 1485, 2211, 2923, 3615, 4281, 4915?
-p**3 + 2*p**2 + 735*p + 15
What is the u'th term of -401, 747, 2659, 5335, 8775?
382*u**2 + 2*u - 785
What is the a'th term of -6500, -8072, -9644, -11216, -12788, -14360?
-1572*a - 4928
What is the c'th term of -4595, -18356, -41293, -73406, -114695?
-4588*c**2 + 3*c - 10
What is the r'th term of -256, -528, -858, -1276, -1812?
-5*r**3 + r**2 - 240*r - 12
What is the d'th term of -3855, -5255, -6669, -8103, -9563, -11055, -12585, -14159?
-d**3 - d**2 - 1390*d - 2463
What is the o'th term of 11850, 23694, 35538, 47382, 59226, 71070?
11844*o + 6
What is the q'th term of -20740, -41479, -62220, -82963, -103708, -124455, -145204?
-q**2 - 20736*q - 3
What is the m'th term of 90, 172, 244, 300, 334, 340, 312?
-m**3 + m**2 + 86*m + 4
What is the k'th term of 2494, 9622, 21500, 38128, 59506, 85634?
2375*k**2 + 3*k + 116
What is the h'th term of -509, -426, -273, -38, 291?
2*h**3 + 23*h**2 - 534
What is the h'th term of 13721, 13696, 13671?
-25*h + 13746
What is the l'th term of 974, 1932, 2912, 3926, 4986, 6104, 7292, 8562?
2*l**3 - l**2 + 947*l + 26
What is the f'th term of 954008, 954006, 954004, 954002, 954000, 953998?
-2*f + 954010
What is the t'th term of -72, -282, -854, -1968, -3804, -6542?
-30*t**3 - t**2 + 3*t - 44
What is the a'th term of -6658, -6654, -6650?
4*a - 6662
What is the k'th term of -106, -129, -146, -151, -138, -101?
k**3 - 3*k**2 - 21*k - 83
What is the x'th term of 19, -18, -137, -380, -789, -1406, -2273?
-7*x**3 + x**2 + 9*x + 16
What is the p'th term of 681, 1370, 2063, 2760?
2*p**2 + 683*p - 4
What is the b'th term of 91, 77, 53, 19?
-5*b**2 + b + 95
What is the v'th term of -24430, -97751, -219962, -391069, -611078, -879995?
-v**3 - 24439*v**2 + 3*v + 7
What is the y'th term of -5012, -5013, -5016, -5021, -5028?
-y**2 + 2*y - 5013
What is the i'th term of 2915, 2896, 2829, 2690, 2455, 2100, 1601, 934?
-4*i**3 + 9*i + 2910
What is the z'th term of -11828, -11831, -11838, -11849, -11864, -11883, -11906?
-2*z**2 + 3*z - 11829
What is the s'th term of -712, -950, -1358, -1942, -2708, -3662?
-s**3 - 79*s**2 + 6*s - 638
What is the p'th term of 75024, 75026, 75028?
2*p + 75022
What is the z'th term of -13356, -26711, -40066, -53421, -66776, -80131?
-13355*z - 1
What is the t'th term of -5441, -10933, -16449, -22001, -27601?
-2*t**3 - 5478*t + 39
What is the f'th term of 776, 1562, 2356, 3158, 3968, 4786, 5612?
4*f**2 + 774*f - 2
What is the q'th term of -1421, -5665, -12739, -22643?
-1415*q**2 + q - 7
What is the l'th term of -927, -910, -883, -846, -799, -742, -675?
5*l**2 + 2*l - 934
What is the g'th term of -56, -59, -56, -47, -32, -11?
3*g**2 - 12*g - 47
What is the c'th term of 14214, 28353, 42490, 56625, 70758, 84889, 99018?
-c**2 + 14142*c + 73
What is the b'th term of -75808, -75793, -75762, -75709, -75628, -75513?
b**3 + 2*b**2 + 2*b - 75813
What is the q'th term of -7078, -14164, -21244, -28318, -35386, -42448?
3*q**2 - 7095*q + 14
What is the p'th term of 370, 1362, 3014, 5326, 8298, 11930, 16222?
330*p**2 + 2*p + 38
What is the y'th term of -2011, -4026, -6041?
-2015*y + 4
What is the o'th term of -98980, -197958, -296936, -395914?
-98978*o - 2
What is the x'th term of 1185, 2262, 3339, 4416, 5493, 6570?
1077*x + 108
What is the o'th term of 2195, 4441, 6687, 8933, 11179, 13425?
2246*o - 51
What is the q'th term of 7550, 7518, 7486?
-32*q + 7582
What is the y'th term of 833, 883, 1027, 1313, 1789?
8*y**3 - y**2 - 3*y + 829
What is the n'th term of -326, -464, -602, -740?
-138*n - 188
What is the t'th term of 7580, 7579, 7578?
-t + 7581
What is the b'th term of -1003, -4025, -9061, -16111, -25175, -36253, -49345?
-1007*b**2 - b + 5
What is the b'th term of 152, 514, 962, 1370, 1612?
-21*b**3 + 169*b**2 + 2*b + 2
What is the j'th term of -44937, -44929, -44921, -44913?
8*j - 44945
What is the l'th term of -23462, -23812, -24396, -25214?
-117*l**2 + l - 23346
What is the s'th term of 11645, 23368, 35069, 46736, 58357, 69920?
-2*s**3 + s**2 + 11734*s - 88
What is the o'th term of -421, -845, -1267, -1687, -2105, -2521, -2935?
o**2 - 427*o + 5
What is the d'th term of -160892, -160891, -160890, -160889, -160888, -160887?
d - 160893
What is the i'th term of 69, 247, 531, 921, 1417, 2019, 2727?
53*i**2 + 19*i - 3
What is the y'th term of 2050, 2140, 2290, 2500, 2770, 3100?
30*y**2 + 2020
What is the q'th term of 6805, 13599, 20393, 27187, 33981, 40775?
6794*q + 11
What is the g'th term of 7306, 29222, 65766, 116944, 182762, 263226?
g**3 + 7308*g**2 - 15*g + 12
What is the b'th term of 29020, 58040, 87072, 116122, 145196, 174300, 203440, 232622?
b**3 + 29013*b + 6
What is the a'th term of -726, -662, -596, -528, -458, -386, -312?
a**2 + 61*a - 788
What is the j'th term of 277, 400, 601, 880, 1237, 1672, 2185?
39*j**2 + 6*j + 232
What is the r'th term of 639, 742, 845, 948, 1051, 1154?
103*r + 536
What is the g'th term of -5, -40, -125, -284, -541, -920, -1445, -2140?
-4*g**3 - g**2 - 4*g + 4
What is the j'th term of -333, 431, 1705, 3489, 5783?
255*j**2 - j - 587
What is the s'th term of -434, -361, -302, -263, -250, -269, -326, -427?
-s**3 - s**2 + 83*s - 515
What is the k'th term of -430, -987, -1828, -3097, -4938?
-24*k**3 + 2*k**2 - 395*k - 13
What is the d'th term of -63, -88, -111, -132, -151?
d**2 - 28*d - 36
What is the a'th term of -4117, -16547, -37263, -66265, -103553?
-4143*a**2 - a + 27
What is the n'th term of 140, 205, 246, 251, 208, 105, -70?
-2*n**3 + 79*n + 63
What is the c'th term of 3465, 6898, 10331, 13764, 17197?
3433*c + 32
What is the x'th term of 9176, 18338, 27500?
9162*x + 14
What is the h'th term of -155, -1700, -5885, -14030, -27455, -47480, -75425?
-220*h**3 - 5*h + 70
What is the a'th term of -5723, -11512, -17303, -23096, -28891, -34688, -40487?
-a**2 - 5786*a + 64
What is the v'th term of 1810, 3578, 5346, 7114?
1768*v + 42
What is the i'th term of -26, -82, -166, -278, -418, -586?
-14*i**2 - 14*i + 2
What is the q'th term of 7564, 15135, 22706, 30277?
7571*q - 7
What is the d'th term of 2104, 4277, 6450, 8623?
2173*d - 69
What is the t'th term of -62492, -124986, -187480, -249974?
-62494*t + 2
What is the w'th term of -2011, -7982, -17933, -31864, -49775, -71666, -97537?
-1990*w**2 - w - 20
What is the v'th term of -2030, -2021, -2014, -2009, -2006, -2005, -2006?
-v**2 + 12*v - 2041
What is the x'th term of 1024, 4069, 9146, 16255?
1016*x**2 - 3*x + 11
What is the h'th term of -94005, -188048, -282089, -376128, -470165, -564200?
h**2 - 94046*h + 40
What is the v'th term of 225205, 225199, 225191, 225187, 225193, 225215, 225259, 225331?
v**3 - 7*v**2 + 8*v + 225203
What is the l'th term of -486, -2103, -4814, -8619, -13518, -19511?
-547*l**2 + 24*l + 37
What is the u'th term of -3238, -3169, -3054, -2893?
23*u**2 - 3261
What is the b'th term of -2925, -5783, -8631, -11463, -14273, -17055, -19803, -22511?
b**3 - b**2 - 2862*b - 63
What is the b'th term of -2530, -2490, -2450?
40*b - 2570
What is the j'th term of 58051, 116068, 174073, 232060, 290023?
-j**3 + 58024*j + 28
What is the s'th term of 991, 1973, 2949, 3919, 4883, 5841, 6793?
-3*s**2 + 991*s + 3
What is the c'th term of 22861, 45326, 67793, 90262, 112733, 135206?
c**2 + 22462*c + 398
What is the | {
"pile_set_name": "DM Mathematics"
} |
o + 130*o + 13*o)*(-1 - 2 + 0) + (0*o + o + 2*o)*(1 - 1 + 1) + (2 + 2 - 3)*(4*o - 6*o - 8*o) in the form b + w*o and give w.
338
Rearrange (-25775*f + 12953*f + 5 + 13819*f)*(2*f + f - 2*f) to the form r*f**2 + k*f + l and give r.
997
Rearrange (4 - 3 + 0)*(0 - 2 + 0)*(-864*w - 2276*w - 1355*w) to j + k*w and give k.
8990
Rearrange -26*i - 9*i**4 - 7*i**4 - i**3 + 7*i**2 + 17*i**4 + 2 - 4*i**4 to the form p + v*i + h*i**4 + a*i**2 + b*i**3 and give a.
7
Rearrange (-3 + 4 - 2)*((2 - 1 + 1)*(-4 + 2 + 1) + 0 - 3 + 1 + 1 - 4 + 2)*(-8508*g + 3723*g + 3045*g) to the form v*g + r and give v.
-8700
Express o**2 - 14*o + 34*o**3 - 4 - 2*o**2 - o**4 + 31*o - 20*o + 2 in the form k + t*o + w*o**4 + v*o**2 + j*o**3 and give k.
-2
Express (183 - 344 + 240 + 109)*(7*m**2 + 5*m**2 + 0*m**2)*(-3 + 3 + 4*m**2) as p*m + f + b*m**4 + v*m**2 + h*m**3 and give b.
9024
Express 0*f**3 + 331 + f**2 + 431*f - 2*f**3 - 920*f + 491*f in the form v*f + l*f**2 + u + z*f**3 and give z.
-2
Express (-11*s - 38*s - 223*s)*(21*s - 19*s - 33*s) in the form y*s + p*s**2 + c and give p.
8432
Rearrange (36 + 127 + 2*c**2 + 56)*(-126 + 37 + 57) to the form a*c + l*c**2 + h and give l.
-64
Express 5*w**2 - 7*w**2 + 85384 - w - 87041 in the form g*w**2 + h*w + v and give g.
-2
Express 0 - 7 + 16 + 62*b**2 + 2 + 256*b**2 as y*b + x + q*b**2 and give q.
318
Express -s + 1 + 44*s**3 - 9*s - 72*s**3 - 3*s**2 - 3*s + 34*s**3 as n + o*s**3 + c*s + w*s**2 and give c.
-13
Express (-23*o**2 + 16 - 16)*(62*o**2 + 2*o + 4362 - 4362) as t + i*o**2 + l*o**4 + j*o**3 + y*o and give j.
-46
Rearrange (2674 - 2674 - 84*y**4)*(5 + 17 - 5 - 6 + 14) to g + l*y**4 + f*y**2 + u*y + j*y**3 and give l.
-2100
Express -6409*z**2 + 6410*z**2 + 200 - 193 + 141*z as f + p*z**2 + q*z and give q.
141
Rearrange -1754*q + 3 - 1511*q + 185*q - 3 to v + b*q and give b.
-3080
Rearrange (-2*u**2 - 3 + 3)*(-37978*u + 1 + 20764*u + 19986*u)*(3 - 3 - 2)*(3 - 3 + u) to the form v*u**3 + g*u**2 + z*u + x*u**4 + y and give v.
4
Rearrange -677738 + 1355475 - 677737 + 31615*q to the form c*q + v and give v.
0
Rearrange 14*i**2 - 1626 - i**2 - 2*i + 1625 - 3*i**4 + 21*i**3 - 19*i**3 to p*i**2 + o*i + f + k*i**3 + y*i**4 and give k.
2
Rearrange -687711*g - 3402*g**2 - 11 + 11 + 687708*g to p + l*g + j*g**2 and give j.
-3402
Express (2*q - q - 47837*q**2 + 46383*q**2)*(-q**2 + q**2 + 5*q**2) in the form h*q**2 + f*q**3 + c + s*q + m*q**4 and give f.
5
Express 745*n**2 + 1044*n**2 + 813*n**2 + 1025*n**2 - 433*n**2 as u*n + a*n**2 + w and give a.
3194
Rearrange (132*v + 63*v - 50*v)*(-1 - 2 + 0)*(0 + 1 - 2) to f + u*v and give u.
435
Rearrange (2 - 3 - 2)*(117 - 117 - 69*l)*(3 - 1 - 14)*(2 + 4 - 2) to the form j*l + y and give j.
-9936
Rearrange 2098*v - 992*v - 699*v to the form d*v + x and give d.
407
Express -110*x**3 + 8*x**3 + 3*x**2 + 119*x**3 + 5 + (2 + 2*x**2 - 2)*(x + 1 - 1) in the form c + a*x**2 + g*x**3 + f*x and give a.
3
Rearrange 127676*l - 58584*l - 58075*l to the form u + v*l and give v.
11017
Rearrange (1786*m**2 + 165*m**3 - 1786*m**2)*(15 - 15 - 9*m) + 1 - 1 + 2*m**4 + m**2 to the form w + d*m**3 + l*m**2 + o*m**4 + v*m and give o.
-1483
Rearrange -802*x + 442*x - 2*x**4 + 69 - 71 + 2*x**3 - 4*x**3 to the form w*x**2 + r*x**4 + d*x + g*x**3 + y and give r.
-2
Rearrange -22*j**3 + 2*j + j**2 - 4*j + 5*j - 3*j**3 + 50*j**3 to q*j**2 + l*j + v*j**3 + b and give q.
1
Express -72*r**2 + 219051 - 219051 - 50*r**2 in the form n*r**2 + o + l*r and give l.
0
Express (-3*i**2 - i**2 + 3*i**2)*(4735 + 3099 + 5*i + 708 - 2347) as h*i**3 + b*i + r*i**2 + y and give h.
-5
Express (1 - 4*x + 8*x + x)*(-99*x**2 + 187 - 187) as z*x + d*x**2 + f*x**3 + v and give f.
-495
Express 387*b**2 - 1129*b**2 + 3 + 370*b**2 + b**3 - 13*b**4 - 2*b + 386*b**2 in the form a*b + q*b**2 + c*b**4 + l + u*b**3 and give l.
3
Rearrange 918 - 2663 + 0*x - 466 - 2*x to s*x + w and give w.
-2211
Rearrange 83544*h + 3 - 7300*h**2 - 83544*h to the form b*h**2 + y + o*h and give y.
3
Express 9*x + 5*x**3 - 303 + 2*x - 4*x - 6*x + x as z*x**2 + w + j*x + g*x**3 and give g.
5
Rearrange 3*s**3 - 2*s**3 - 935*s + 2*s**3 + 22*s**4 + 1 + 933*s - 9*s**2 to m*s**2 + p*s + n + o*s**4 + d*s**3 and give n.
1
Rearrange -3954*q + 120*q - 456*q to n + j*q and give j.
-4290
Express (-1 + 1 - h)*(9 - 3 - 13)*(9 - 13 - 9 + (-1 + 0 - 1)*(5 - 5 - 2) - 7 + 6 + 17) in the form g*h + q and give g.
49
Express 1359*u**2 - 252 - 6*u - 1355*u**2 + 225 in the form v*u + z*u**2 + k and give v.
-6
Express -8169*c + 7574*c - 7910*c - 4*c + 3*c + 0*c + (-3 + 3 - c)*(-2 - 1 + 4) - 2*c - 3*c + 4*c in the form l + g*c and give g.
-8508
Rearrange 4*g**2 + 14*g**2 + 64*g**2 + 5*g**2 - 25*g + 26*g**2 to p*g**2 + z*g + y and give z.
-25
Rearrange -6114 - f - f**4 + f**3 + 5*f**4 + 6113 - f**3 - 190*f**2 to u*f**4 + k*f**3 + c*f + s*f**2 + l and give c.
-1
Express -69 + 6 + 57 + 17530*i + 6 in the form k + f*i and give f.
17530
Express -m**4 + 118 - 123 - 23*m**2 + 740*m**3 - 739*m**3 in the form i*m**4 + q*m + b*m**2 + f*m**3 + u and give u.
-5
Rearrange -1558 + 2*t**3 - 1551 - 24*t**4 - 3*t + 4668 - 2*t**2 - 1553 - 4*t**4 to the form i + m*t**3 + d*t + x*t**4 + g*t**2 and give d.
-3
Rearrange 3265*t**4 + 3*t**2 + t**3 + 2 + 14*t**2 - 3303*t**4 + 3*t**2 to the form q + r*t**2 + f*t + s*t**3 + c*t**4 and give c.
-38
Rearrange 52*u + 337*u + 224*u + 1546*u + 2*u**2 + 468*u to the form v*u + h + o*u**2 and give o.
2
Rearrange -213*v**4 + 636*v**4 - 208*v**4 - 31*v**3 - 217*v**4 - v**3 + 9*v + 2 to the form y*v + h*v**3 + u*v**2 + k + g*v**4 and give k.
2
Rearrange (3 + 0 - 2)*(3*u**3 - u**3 + 0*u**3) + 54*u**3 + 3041 - 3041 + (5*u**3 - 2*u**3 - 4*u**3)*(-53 - 40 + 28) to c*u**2 + v*u + r + k*u**3 and give k.
121
Rearrange (3 + 2 + 2)*(3 + 1 - 6)*(51*z**3 - 32*z**3 + 78*z**3) to the form g*z**3 + f + n*z + m*z**2 and give g.
-1358
Express -2*i**4 + 3*i**4 + 2*i**4 + (3177*i + 1 - 3155*i + 5)*(-16*i**3 - i**3 + 3*i**3) in the form l*i**3 + y + m*i + d*i**4 + t*i**2 and give l.
-84
Rearrange w**2 - 14*w**3 - 23*w**3 + 56*w**3 + 1223 + 715 - 17*w**3 to the form a + i*w + c*w**2 + p*w**3 and give a.
1938
Rearrange z + 0*z - 2*z - z - z + 3*z + (3 - 2 + 0)*(-z + 2*z + z) + 4*z - 1 - 9*z - z + 5*z - z - 3*z + 137*z + 76*z - 76*z to the form t + y*z and give t.
-1
Rearrange (2 - 7 + 2)*(2 + 3 - 1)*(7*m + 5*m - 2*m + (3*m - 2*m + 5*m)*(2 - 2 + 1)) to the form n*m + d and give n.
-192
Express (-4*m**4 - 9*m**4 - 3*m**4)*(-36 - 79 - 23) - 2*m + 2*m + 2*m**4 in the form r + h*m**3 + g*m**4 + f*m + a*m**2 and give g.
2210
Express (2 + 1 + 5 - 1 + 0 + 3 + (1 + 2 - 5)*(0 - 1 + 0) + 33 - 73 + 22)*(-40*w**3 + 1867 - 9*w**3 - 1867) as h*w + l + a*w**2 + n*w**3 and give n.
294
Rearrange 934566*w + w**4 + 4*w**2 - 934568*w - 2654 - 4*w**2 to the form o*w**2 + j + f*w + c*w**4 + h*w**3 and give f.
-2
Express (5*c - 4*c - 3*c)*(-4 + 2 + 1) - 14 + 19 - 9 + 23*c in the form r + o*c and give r.
-4
Express -5 + 1011*u + 7304*u - 1831*u + 5 as r + y*u and give y.
6484
Express 7577*r + 207 + 36 - 243 as k*r + n and give k.
7577
Express -11*f**4 + 5*f**3 - 74*f**2 + 18*f**2 - 4*f**3 + 12*f**4 - 3 + 25*f**2 as w*f**2 + x*f**4 + g*f + n*f**3 + a and give x.
1
Express 5 - 39*z**3 - 10191672*z - 83*z**3 - 3 + 10191671*z in the form v + o*z**3 + g*z**2 + a*z and give v.
2
Rearrange 137*l + 21*l + 33*l**4 - 2 - 2*l**2 + 4 - 160*l to the form w + c*l + v*l**2 + s*l**3 + h*l**4 and give h.
33
Express 11*c + 8*c + 31104 - 31172 as r*c + l and give r.
19
Express (-h + 4 + h - 2*h)*(-2*h + 5*h - 4*h)*(-2455 - 2452 - 4*h + 4905 - 8*h**2) in the form d + r*h**4 + g*h + b*h**2 + s*h**3 and give r.
-16
Rearrange -547*k**2 + 1504*k**2 - 2*k - 511*k**2 + 8 - 536*k**2 to the form i*k**2 + z + t*k and give i.
-90
Express 4*x + 91*x**3 + 66*x**2 - 8*x**3 + 0*x - 88*x**3 - 5*x + 1 in the form l*x + w*x**3 + y*x**2 + m and give y.
66
Rearrange 48*g - 14*g - 103 + 517 - 13*g - 20*g to x*g + f and give f.
414
Express 2990*m + 3383*m - 118*m - 2222*m + 2728*m in the form o*m + f and give o.
6761
Express (0 - 2 + 1 - 3 + 1 + 1 + 1 - 3 + 1 + (1 + 0 + 0)*(5 - 5 + 2))*(126*c + 5*c + 56*c) as u + m*c and give m.
-187
Express (68 + 21 - 4)*(-p**2 - p**2 + 5*p**2) - 133 + 10*p**2 + 133 in the form x*p**2 + n + f*p and give x.
265
Express (0 + 7*u + 1 | {
"pile_set_name": "DM Mathematics"
} |
of picking 2 w?
1/66
What is prob of picking 1 d, 1 b, and 2 j when four letters picked without replacement from {d: 1, k: 2, i: 7, b: 1, j: 2, r: 4}?
1/2380
Two letters picked without replacement from eeeseeeesee. What is prob of picking 2 e?
36/55
What is prob of picking 1 d and 1 l when two letters picked without replacement from lxdlc?
1/5
Four letters picked without replacement from {h: 1, m: 3, p: 2, o: 3, r: 1, z: 2}. Give prob of picking 1 h, 1 o, 1 m, and 1 z.
2/55
Two letters picked without replacement from iilpp. What is prob of picking 2 p?
1/10
Calculate prob of picking 2 t when two letters picked without replacement from tjzzttjzjyztzyztzjmt.
3/38
Calculate prob of picking 1 s, 1 y, and 1 u when three letters picked without replacement from {s: 1, u: 14, y: 1}.
1/40
Two letters picked without replacement from {h: 3, w: 2, d: 1, t: 3, x: 3, u: 3}. Give prob of picking 1 u and 1 w.
2/35
Calculate prob of picking 2 x when two letters picked without replacement from {j: 1, x: 17}.
8/9
Three letters picked without replacement from {w: 1, r: 1, f: 1, p: 2, j: 1, h: 1}. What is prob of picking 2 f and 1 w?
0
Calculate prob of picking 1 m and 1 f when two letters picked without replacement from rmmmfmff.
3/7
Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {t: 1, q: 2, y: 1}.
1/3
Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {m: 1, q: 3, s: 4, a: 2, r: 1}.
2/55
What is prob of picking 3 x when three letters picked without replacement from wwxaxxbx?
1/14
What is prob of picking 1 f and 1 g when two letters picked without replacement from gfggffgnff?
4/9
Three letters picked without replacement from {n: 3, f: 7, b: 2}. What is prob of picking 2 b and 1 n?
3/220
Three letters picked without replacement from hhhhxhhhxhhhhhhx. What is prob of picking 1 h and 2 x?
39/560
Two letters picked without replacement from {l: 7, o: 7, z: 2}. What is prob of picking 2 o?
7/40
What is prob of picking 1 x and 1 h when two letters picked without replacement from haxxhhrxxhhhhhhxh?
25/68
Two letters picked without replacement from aaaaabaaaaabbbbaaaa. Give prob of picking 1 a and 1 b.
70/171
Three letters picked without replacement from uuuqqewewttqtwwt. What is prob of picking 2 q and 1 e?
3/280
Calculate prob of picking 1 r and 1 l when two letters picked without replacement from alerararderreeaa.
1/24
Three letters picked without replacement from jpjpqjjqjrjjan. Give prob of picking 1 n, 1 j, and 1 r.
1/52
Four letters picked without replacement from dqqsddw. Give prob of picking 1 s, 2 q, and 1 w.
1/35
Calculate prob of picking 1 n and 2 f when three letters picked without replacement from {f: 5, n: 5}.
5/12
Three letters picked without replacement from sllrsssrrsrl. Give prob of picking 1 r and 2 s.
2/11
What is prob of picking 4 j when four letters picked without replacement from yyyyjyjuyyjujuyyujy?
5/3876
What is prob of picking 1 u and 1 d when two letters picked without replacement from {z: 2, u: 2, d: 1}?
1/5
Four letters picked without replacement from kmmmkkmmmmkmmkmmmkm. What is prob of picking 4 k?
5/1292
Two letters picked without replacement from hhhhhhthhhthihhztzh. What is prob of picking 1 t and 1 i?
1/57
What is prob of picking 2 f, 1 a, and 1 d when four letters picked without replacement from {a: 1, e: 1, d: 2, i: 2, f: 4}?
2/35
Calculate prob of picking 1 i, 1 s, and 2 h when four letters picked without replacement from {i: 1, h: 2, g: 1, s: 1}.
1/5
What is prob of picking 2 y and 1 i when three letters picked without replacement from {u: 1, y: 4, i: 2}?
12/35
Calculate prob of picking 2 n and 1 e when three letters picked without replacement from eeyeneeyenneeyneyee.
22/323
Two letters picked without replacement from {y: 2, b: 1, f: 3, v: 1}. What is prob of picking 1 v and 1 f?
1/7
What is prob of picking 2 m when two letters picked without replacement from zzmm?
1/6
Calculate prob of picking 1 k and 1 e when two letters picked without replacement from ekekkkkeeekeek.
7/13
Two letters picked without replacement from yoycwowwc. Give prob of picking 2 c.
1/36
Three letters picked without replacement from unxzq. Give prob of picking 1 u, 1 n, and 1 z.
1/10
Calculate prob of picking 2 t and 1 s when three letters picked without replacement from sstst.
3/10
What is prob of picking 3 d when three letters picked without replacement from sdddddddddddddd?
4/5
What is prob of picking 1 h, 1 b, and 1 f when three letters picked without replacement from fhhsgqqb?
1/28
Calculate prob of picking 1 q, 2 f, and 1 z when four letters picked without replacement from {f: 6, q: 2, z: 9}.
27/238
Three letters picked without replacement from qppqpppppqqppppqqqp. What is prob of picking 3 p?
220/969
Four letters picked without replacement from haaoahhygaoy. Give prob of picking 1 g, 2 h, and 1 a.
4/165
Two letters picked without replacement from hkgadadgga. What is prob of picking 1 h and 1 k?
1/45
Three letters picked without replacement from ikbwiiibbwwswbw. What is prob of picking 3 i?
4/455
Calculate prob of picking 1 x and 1 m when two letters picked without replacement from ymmymmymmgmmmmxym.
11/136
What is prob of picking 3 g and 1 t when four letters picked without replacement from gtttggggtgg?
14/33
Three letters picked without replacement from {s: 1, k: 1, y: 2, l: 1, u: 2, g: 2}. What is prob of picking 1 l, 1 y, and 1 k?
1/42
What is prob of picking 4 r when four letters picked without replacement from rrkrrrrrrrrrrrr?
11/15
What is prob of picking 2 p when two letters picked without replacement from {s: 2, w: 1, p: 2, r: 1, a: 5, j: 2}?
1/78
Calculate prob of picking 3 b when three letters picked without replacement from {p: 3, b: 7}.
7/24
What is prob of picking 2 a and 1 r when three letters picked without replacement from laaaarr?
12/35
Calculate prob of picking 1 z, 1 q, and 1 f when three letters picked without replacement from zfkkkbq.
1/35
What is prob of picking 1 q and 2 p when three letters picked without replacement from wwqwqwppqqw?
4/165
Three letters picked without replacement from {h: 2, v: 1, i: 1, p: 2, d: 1}. What is prob of picking 1 p, 1 h, and 1 v?
4/35
Four letters picked without replacement from sszsssss. What is prob of picking 4 s?
1/2
What is prob of picking 2 e and 1 z when three letters picked without replacement from {z: 5, e: 13}?
65/136
Two letters picked without replacement from akdakaada. Give prob of picking 2 a.
5/18
Three letters picked without replacement from iiiiiriiirririiiri. Give prob of picking 2 r and 1 i.
65/408
Two letters picked without replacement from {j: 1, e: 1, s: 1, v: 1, k: 1}. Give prob of picking 1 v and 1 s.
1/10
What is prob of picking 1 p and 1 x when two letters picked without replacement from {x: 2, p: 3}?
3/5
Calculate prob of picking 1 x and 1 p when two letters picked without replacement from bbbsafspsxsss.
1/78
Two letters picked without replacement from {i: 2, k: 3, g: 5}. What is prob of picking 1 i and 1 g?
2/9
Calculate prob of picking 1 s, 1 y, and 1 j when three letters picked without replacement from {y: 1, j: 1, u: 1, q: 1, s: 4}.
1/14
Two letters picked without replacement from {z: 1, p: 4, b: 4, v: 1, n: 4, f: 3}. What is prob of picking 1 f and 1 p?
3/34
Calculate prob of picking 1 q and 3 d when four letters picked without replacement from dddddddddddddddddqq.
20/57
Two letters picked without replacement from gggqpggggqpqggg. What is prob of picking 1 g and 1 q?
2/7
Calculate prob of picking 3 p when three letters picked without replacement from prppr.
1/10
What is prob of picking 1 x and 1 k when two letters picked without replacement from {x: 1, y: 3, k: 5}?
5/36
Two letters picked without replacement from ohhbfbfbhhhhbbbhwbhh. Give prob of picking 1 f and 1 w.
1/95
Four letters picked without replacement from ccnnniuuicnicuyccicf. What is prob of picking 1 n, 1 f, 1 i, and 1 c?
112/4845
Three letters picked without replacement from {y: 2, q: 2, v: 4, w: 3, r: 2, d: 2}. Give prob of picking 2 r and 1 v.
4/455
What is prob of picking 1 x, 1 w, and 1 b when three letters picked without replacement from {b: 8, y: 3, w: 3, l: 1, x: 4}?
32/323
Two letters picked without replacement fr | {
"pile_set_name": "DM Mathematics"
} |
t derivative of 2*o**d + 63*o + 6 - 20 - 8 - 67*o wrt o?
6*o**2 - 4
Find the second derivative of -2609*z**2 - 1583*z**2 + 3704*z - 1290*z**2 + 1065*z**2 + 184*z**2 wrt z.
-8466
Suppose 0 = 2*d + 3*n - 66, 6*d = 3*d + 5*n + 118. Let a = -33 + d. Differentiate 7*j**3 + 22 - 5*j**3 + 26*j**3 + 8*j**a wrt j.
108*j**2
Let l(d) = d**3 + 7*d**2 + 6*d + 2. Let g be l(-6). Let h = -878 + 880. What is the third derivative of 9*m**6 + 0*m**2 + 3*m**h + m**2 - g*m**6 wrt m?
840*m**3
What is the second derivative of -4 - 4 + 110*s**3 + 8 - 77*s**3 + 6*s**4 + 1143*s wrt s?
72*s**2 + 198*s
What is the second derivative of -214*o**2 + 2*o**5 + 12 + 127*o**4 - o - 56*o - 13*o + 214*o**2 wrt o?
40*o**3 + 1524*o**2
Let z(d) be the first derivative of 11/2*d**4 - 4/3*d**3 - 142 + 87*d + 0*d**2. What is the first derivative of z(g) wrt g?
66*g**2 - 8*g
Let n = 13657 + -13655. Let i(c) be the second derivative of 0*c**4 + 0*c**3 + 0 - 1/3*c**6 - 10*c**n + 0*c**5 - 27*c. What is the derivative of i(y) wrt y?
-40*y**3
Let b(p) be the second derivative of -p**4/2 + 39*p**3/2 - 1617*p**2/2 + 2*p - 1274. What is the first derivative of b(t) wrt t?
-12*t + 117
Let x(w) be the first derivative of 23/3*w**3 + 125 + 167*w**2 - 6/5*w**5 + 0*w**4 + 0*w. Find the second derivative of x(b) wrt b.
-72*b**2 + 46
Let w be 2 + 2 + (0 - 2). Find the second derivative of 45*d**w - 14*d**2 - 87*d**2 + 1 + 0 + 63*d wrt d.
-112
Let w(l) = -l**4 + 5*l - 99. Let t(n) = n**4 - 3*n + 50. Suppose 24 = -f + 14. Let p(u) = f*t(u) - 6*w(u). Differentiate p(x) with respect to x.
-16*x**3
Let v = 26588 + -26585. Let q(r) be the first derivative of 0*r - 1/5*r**5 + 0*r**4 - 21 + 0*r**v - 5/2*r**2. Find the second derivative of q(c) wrt c.
-12*c**2
Let x(h) = 64*h**3 - 811*h**2 + 3*h + 3. Let d(u) = -u**3 - u**2 + u + 1. Let o(i) = -3*d(i) + x(i). What is the third derivative of o(t) wrt t?
402
Let i(u) be the first derivative of 0*u**6 - u - 14/3*u**3 + 26 + 6*u**7 + 0*u**4 + 0*u**5 + 0*u**2. Find the third derivative of i(h) wrt h.
5040*h**3
Let r(f) be the first derivative of 0*f**3 + 0*f**2 - 97*f + 118 - 33/2*f**4. Differentiate r(j) with respect to j.
-198*j**2
What is the first derivative of 29*q**3 + 66*q**3 - 95*q**3 + 24*q**4 + q**2 + 1176 wrt q?
96*q**3 + 2*q
Let v(t) = 63*t**2 + 8*t + 6. Let c(a) = a**2 - 1. Let f = -6 - 0. Let w(i) = f*c(i) - v(i). What is the second derivative of w(p) wrt p?
-138
Let t(o) be the first derivative of -56 + 0*o - 1/4*o**4 + 0*o**5 - 7*o**3 + 1/6*o**6 + 0*o**2. What is the third derivative of t(q) wrt q?
60*q**2 - 6
Let h(s) = 6*s**2 - s - 1. Let u be h(1). Find the third derivative of 14*z**2 - 11396*z**6 + 4*z**u - 2*z**4 + 11383*z**6 wrt z.
-1560*z**3 + 48*z
Let c(u) = 310*u**2 + 6*u + 6. Let a(y) = -103*y**2 - 2*y - 2. Suppose 47*o + 165 = 32*o. Let v(s) = o*a(s) - 4*c(s). Find the second derivative of v(x) wrt x.
-214
Let o(n) be the second derivative of 387*n**5/5 - 476*n**4/3 - 20*n + 8. Find the third derivative of o(x) wrt x.
9288
Let u(k) = 81*k - 791. Let c(s) = 84*s - 793. Let o(b) = -6*c(b) + 7*u(b). Differentiate o(a) wrt a.
63
Suppose -3*f + 4*h = f - 124, -155 = -5*f - 5*h. What is the second derivative of -167*z - 13*z**2 + 13*z**2 + 56*z**2 + f*z**2 wrt z?
174
Find the second derivative of 159*y - 278*y + 2*y**2 + 3*y**2 + 120*y - 400 + 2*y**3 + 66*y**4 - 517 wrt y.
792*y**2 + 12*y + 10
What is the third derivative of 128*u**2 - 567*u**5 + 281*u**2 - 68*u**2 + 148*u**2 wrt u?
-34020*u**2
Suppose 2*n - u = -3*u + 8, -n = -2*u + 2. Find the third derivative of 2 - 423*q**3 + 2 - 2*q**n + 359*q**3 wrt q.
-384
Let x(s) be the first derivative of 13 + 197*s + 183/2*s**2. Differentiate x(m) wrt m.
183
Let p(b) be the first derivative of -17*b**7/7 - 4*b**3/3 - 207*b + 538. What is the third derivative of p(w) wrt w?
-2040*w**3
What is the derivative of -60*w**3 - 68*w**3 + 130*w**3 + 171 + 1198 + 3099*w**2 - 1279*w**2 wrt w?
6*w**2 + 3640*w
Find the second derivative of -69*q**4 + 599*q**4 + 5391 - 3761*q**4 + q**3 - 126676*q - 753*q**4 + 126674*q wrt q.
-47808*q**2 + 6*q
Let g be (-382734)/(-63) + (-2)/14. Suppose -11*t = -2274 - g. What is the third derivative of t*d - 7*d**2 - 17*d**3 - 759*d wrt d?
-102
Let o(b) be the first derivative of 3*b**5 + 13*b**4/2 + 821*b**2/2 - 160. Find the second derivative of o(z) wrt z.
180*z**2 + 156*z
Let o(g) be the second derivative of 0*g**2 - 11 - 5*g**6 + 23/3*g**3 + 5*g + 0*g**5 - 1/6*g**4. Find the third derivative of o(r) wrt r.
-3600*r
Suppose -6*k + 146 = 50. Suppose n - k = 5*c, 0 = 3*c + 1 - 10. What is the derivative of -36*b**3 - 2*b + 0*b**3 - n + 2*b wrt b?
-108*b**2
Let v = 74 + -71. Suppose 3 = 2*b - v*b, 0 = -5*k + 2*b + 86. Find the first derivative of 23 + 24*u**3 + k + 16*u**3 wrt u.
120*u**2
What is the first derivative of 206*c + 774*c - 1001 - 103*c + 146*c - 34*c wrt c?
989
What is the second derivative of 2*t**3 + 257844*t - 259636*t + 759*t**4 - 2*t**3 wrt t?
9108*t**2
Let s = 1023 - 1011. What is the third derivative of 2*j**4 - 47*j**5 - s*j**2 + j**4 - 4*j**2 + 2*j - 10*j**2 wrt j?
-2820*j**2 + 72*j
Find the third derivative of -8*z**2 - 3567 + 3564 + 0*z - 746*z**5 + 0*z wrt z.
-44760*z**2
Let d(o) be the third derivative of 82*o**7/15 - 1231*o**5/60 - o**3/6 - 14*o**2 + 19. What is the third derivative of d(p) wrt p?
27552*p
Let v(r) = -2309*r**3 + 14*r**2 - 59*r - 3. Let o(h) = -1155*h**3 + 8*h**2 - 34*h - 1. Let d(c) = 7*o(c) - 4*v(c). What is the second derivative of d(u) wrt u?
6906*u
Let s(k) be the second derivative of 5*k**7/21 + 103*k**5/20 - 425*k**3/6 + 7*k**2/2 - 17*k - 96. Find the second derivative of s(y) wrt y.
200*y**3 + 618*y
Find the second derivative of 49 - 5 - 2962*y**4 - 43 + 12168*y**4 + 3648*y wrt y.
110472*y**2
Let f(k) = k**2 - 2*k + 2. Let b(o) = 1177*o**2 - 6*o - 806. Let l(d) = b(d) - 3*f(d). What is the first derivative of l(p) wrt p?
2348*p
Let b(a) be the first derivative of -346*a**5/5 + a**3/3 + 321*a - 430. Find the first derivative of b(x) wrt x.
-1384*x**3 + 2*x
Suppose 24 = 3*f - 4*l + l, -f - 3*l = 4. What is the third derivative of -13*m**4 + 28*m**4 + 42*m**4 + 3*m**2 - 8*m**f - 1 + 9*m**5 wrt m?
60*m**2 + 1368*m
Let r(o) be the third derivative of -481*o**8/84 + o**7/210 - o**4/12 - 275*o**3/3 + 530*o**2 - 4. What is the second derivative of r(a) wrt a?
-38480*a**3 + 12*a**2
Find the second derivative of 26 - 649*i**3 + 74 + i + 12 + 10*i**5 + 5*i - 18 wrt i.
200*i**3 - 3894*i
Let p(l) = l**3 + 9*l**2 + 14*l + 13. Let n be p(-4). Differentiate n*h - 65*h + 67 - 64*h wrt h.
-92
Let d(j) be the first derivative of -259*j**6/3 - 5*j**4/2 + 2*j**3/3 - 1077*j**2/2 + 357. What is the third derivative of d(u) wrt u?
-31080*u**2 - 60
Suppose -y - 3*g + 77 = 0, 2*y - 2*g - 144 = -6*g. Let k be (-18)/42 + y/14. What is the second derivative of 6*o**3 + 13*o**k - 17*o**3 - 17*o + 11*o**3 wrt o?
156*o**2
Let t be (24/(156/13))/((-2)/(-6)). Let k(y) be the first derivative of -7/2*y**2 - t*y + 4. What is the first derivative of k(q) wrt q?
-7
Suppose 4*d = 4*k + 6*d - 208, 2*k - 5*d = 92. Find the third derivative of -18*f + f**2 - 194*f**3 + 21*f + 23*f + k*f + 2*f wrt f.
-1164
Suppose 4*j + 546 = -2*j. Let h = j + 93. Find the third derivative of 4*m**2 - 6*m**h + 9 + 43*m**5 - 1 wrt m.
2580*m**2
Let d(z) be the third derivative of -1/120*z**6 - 4 - 1/8*z**4 + 0*z**3 - 11/105*z**7 + 1/60*z**5 - 5*z**2 + 0*z. What is the third derivative of d(i) wrt i?
-528*i - 6
Let v be 3500/84*(-6)/(-10). Find the third derivative of -50*o**4 - 2*o**2 + 211*o**4 + 0*o**2 + v - 24 wrt o.
3864*o
Let f(s) be the first derivative of -2333*s**5/5 - 491*s**3 + s - 865. What is the third derivative of f(q) wrt q?
-55992*q
Let a(w) = -2*w**3 + 2*w**2 + 2*w - 2. Let r(b) = -152*b**3 - 8*b**2 + 526*b + 8. Let v(x) = -12*a(x) - 3*r(x). What is the second derivative of v(y) wrt y?
2880*y
Let x(j) = -10 - 3 - 4*j - j**2 + 0*j - 4*j. Let p be x(-5). Find the third derivative of -72*t**4 - 6*t**p - 2*t**6 + 72*t**4 wrt t.
-240*t**3
Suppose -5*f + 3*j = -760, -4*f - 3*j = -7*f + 462. Find the first derivative of f + 29 - 10*x + 10*x - 18*x**3 wrt x.
-54*x**2
What is the first derivative of -844*d - 6647 + 5590 - 84*d wrt d?
-928
Let r(b) be the second derivative of 1/ | {
"pile_set_name": "DM Mathematics"
} |
g(-53). Put 4, 2, 32, y in descending order.
32, 4, 2, y
Let w = 534.9431 + -535. Let m = -0.4431 + w. Let h be ((-5)/(-2) - 1)*-2. Sort h, m, -31 in decreasing order.
m, h, -31
Let q = 4.3 - -0.7. Let z be (9 - (4 - 1) - 3) + 203/7. Put 1/4, q, 1, z in decreasing order.
z, q, 1, 1/4
Suppose -5*c - 4*u + 34 = 0, -7*u - 8 = 2*c - 9*u. Put c, -27, 5, -7, -4 in descending order.
5, c, -4, -7, -27
Let y = -57 + 63. Let g = -499 + 502. Sort g, y, -2 in ascending order.
-2, g, y
Let x = -116 - -117.3. Let j = -326 - -321. Sort j, 5, 4, x.
j, x, 4, 5
Let i(q) = 2*q**2 - 2*q - 17. Let m be i(5). Let c = -0.0066 - -0.5066. Sort -5, m, c in increasing order.
-5, c, m
Let b = 2.22 + -2.59. Let o = b + -0.03. Sort -3/41, o, -2 in decreasing order.
-3/41, o, -2
Let v = -175.13 + 175.17. Sort -3/5, v, -4/5, -1, 0.3.
-1, -4/5, -3/5, v, 0.3
Let t = 377 + -266. Suppose -t = -8*m + 25. Put 1, m, -3 in decreasing order.
m, 1, -3
Let i = 688 + -737. Let p be i/(-56) + (-4)/(-32). Sort p, 5, -87, 3 in ascending order.
-87, p, 3, 5
Let v = 70 + -71. Let j = 0.011 - 0.024. Let g = j + -8.987. Sort g, 4, v in descending order.
4, v, g
Let c = -15677.6 - -15679. Let y = -37.5 - -38. Sort c, 5, y in increasing order.
y, c, 5
Let z(i) = 1187*i + 8312. Let o be z(-7). Put -3, o, -5, 0, 15 in increasing order.
-5, -3, 0, o, 15
Let b be (-12 - (-920)/75)*-5. Sort -4, 24, 3/8, -1, b in ascending order.
-4, b, -1, 3/8, 24
Let d = -488 - -489. Suppose -2*u + 1 = -4*q - 19, 3*q = 4*u - 20. Let g be ((-2 - (q - -3)) + 11)/d. Put 2, -5, 4, g in increasing order.
-5, 2, 4, g
Let b(k) = 388*k + 391. Let q be b(-1). Sort 1, q, 4, -2, -3 in ascending order.
-3, -2, 1, q, 4
Let p(x) = -x**3 + 8*x**2 + 38*x - 181. Let g be p(10). Sort -58, -5, g, 6 in decreasing order.
6, g, -5, -58
Let r = -28 - -21.6. Let j = r + 6. Suppose 77*b - 63 + 448 = 0. Sort -3, -2, j, b in descending order.
j, -2, -3, b
Let x = 18 - 19. Let o(y) = 14*y**3 + 7*y**2 + 2*y + 9. Let d be o(-2). Put x, d, -3 in descending order.
x, -3, d
Let z = 5.3417 - 5.35. Let t = z + 3.0083. Put 2/13, t, 0.3, 27 in ascending order.
2/13, 0.3, t, 27
Let t(l) = -l**2 - 441*l + 8263. Let s be t(18). Suppose -d + 3*d + 8 = 0. Put d, -76, s in increasing order.
-76, d, s
Let q = -35 - -34. Let o be 6/(-8)*8/(-3)*17. Put o, -3, q in decreasing order.
o, q, -3
Suppose a - 5 = 2*u, 3*a - 5 = u - 10. Let n be (-5 - 12/u) + 0 + 2. Let d(h) = -h**2 - 7*h - 1. Let o be d(-7). Put n, o, 10, 3 in decreasing order.
10, 3, n, o
Suppose -5*l - 5*f + 355 = 0, l - 24 = -3*f + 53. Suppose 21480 = -0*t + 50*t + 21280. Put t, 1, l, -1 in ascending order.
-1, 1, t, l
Let v(n) = n**3 - 19*n**2 - 35*n + 86. Let r be v(21). Suppose -253*t = -r*t - 20. Let l = 3.1 - -0.9. Sort -2, t, l in descending order.
l, t, -2
Suppose -2 = -c - 8. Suppose -63*g - 107 + 16 = 28*g. Let q(i) = i**2 + 5*i + 6. Let a be q(-3). Sort a, g, c in descending order.
a, g, c
Let x = 1053.62 + -1054. Let m = 0.48 + x. Let j = 0.1 - -0.2. Sort 2/9, m, j.
m, 2/9, j
Let o be 9/2 - (-24)/16. Sort -5, o, -136.
-136, -5, o
Let g = 4350 + -4353. Sort g, -4, -18, -5 in decreasing order.
g, -4, -5, -18
Let p(n) = -n**2 - 3*n + 309. Let r be p(-19). Let y be 5*(-2)/(-4)*-2. Let t(h) = -h**2 - 12*h + 8. Let a be t(-12). Sort a, y, r in increasing order.
y, r, a
Let o = -76 - 6. Let i = -82 - o. Sort 3, 4, i, -1.
-1, i, 3, 4
Let r be 6/16 + 18/(432/(-105)) - -6. Suppose d = 6*d + 60. Let q = 8 + d. Sort 3, -2, q, r in decreasing order.
3, r, -2, q
Let t = -1.9875 - -2.4875. Put -5, t, 3, -0.054 in ascending order.
-5, -0.054, t, 3
Let o(g) = g**3 - 24*g**2 - 588*g + 121. Let u be o(39). Sort -3, u, 483, 5, -0.1.
-3, -0.1, u, 5, 483
Suppose 3*w - 25 = -4*k, 0 = 3*k + 5 - 17. Let i = 5924 + -5920. Sort -4, i, 0.8, w.
-4, 0.8, w, i
Suppose -4*g - 10*g + 2115 = 1625. Sort 2, -8, -5, g.
-8, -5, 2, g
Let o be (707/196 - 4) + 2/8. Let c = 5809/1820 - -3/364. Let x = -18/5 + c. Put x, -2, o in ascending order.
-2, x, o
Suppose -425*d - 375 = 900. Put d, -31, 5, -24 in decreasing order.
5, d, -24, -31
Let o = -155 - -159. Suppose 9*c - 24 = -2*c - 2070. Put c, o, 3 in ascending order.
c, 3, o
Let q = 162.5 - -34.9. Let h = q + -197. Sort 4, h, -0.1 in decreasing order.
4, h, -0.1
Let v = -2 - -5. Suppose 4*m + 2*i + 26 = 0, 6*m - 3*m = i - 7. Suppose 57*o = -5 + 62. Sort v, o, m in descending order.
v, o, m
Let y = -71699 - -71678.0455. Let q = -0.0455 + y. Put 0.01, q, -0.5 in increasing order.
q, -0.5, 0.01
Suppose 45*y - 621 - 359 = -151*y. Put 14, -101, y in decreasing order.
14, y, -101
Let c be (-1)/(6/(-4)*1/3). Suppose -c*w - 10 = u, 2*w + 105 = -5*u + 3*w. Let m be (-3)/(-12) + 45/u. Sort 3, 4, m in decreasing order.
4, 3, m
Let i = 1854 - 1858. Sort -36/11, i, -0.3, 1 in increasing order.
i, -36/11, -0.3, 1
Suppose -30*d - 110*d = -16*d. Suppose 42 = -4*q + 10. Put q, d, 1, -3 in decreasing order.
1, d, -3, q
Let h be (12*(-126)/224)/((-21)/(-56)). Sort h, -20, 5 in decreasing order.
5, h, -20
Let i = 197/36 + -21/4. Let c(n) = -n**3 + 13*n**2 + 30*n + 39. Let r be c(15). Put -2/13, i, r in decreasing order.
r, i, -2/13
Let c = -4.88 + -0.12. Let d = c + 1. Suppose 19*k - 133*k - 3192 = 0. Put d, k, -1, -3 in increasing order.
k, d, -3, -1
Let s be (-24)/(120/(-35)) + 1*-7. Sort s, -26/3, -5 in increasing order.
-26/3, -5, s
Let k = 4897 - 4889. Put -3, 0.2, k, -2, -0.5 in descending order.
k, 0.2, -0.5, -2, -3
Let b(l) = l**3 - 15*l + 9*l**2 + 7 + 2*l - 19. Let v be b(-10). Suppose -v*m + 0 = 18. Sort -3, 5, m in ascending order.
-3, m, 5
Let u = -0.1 + 0. Let x(l) = l - 13. Let p = 63 + -48. Let c be x(p). Sort u, 5, c in descending order.
5, c, u
Let t(b) = b + 6. Let l be t(-3). Suppose -5*z = l*j - 2, -5*j + 0*j + 20 = 0. Put -254, 4, z in descending order.
4, z, -254
Suppose -5*o + 1727 = -448. Let a = o - 375. Sort 0, a, 4 in decreasing order.
a, 4, 0
Let t = 182 - 180.3. Let n = -1.75 + t. Sort -1, 1/3, -2, n.
-2, -1, n, 1/3
Suppose -3*l - 4*r = l, -2*r = 3*l - 3. Suppose -58 + 55 = -l*s. Sort -6, -3/4, s, 3 in decreasing order.
3, s, -3/4, -6
Suppose -82*o + 4*t = -84*o - 98, 2*o = 2*t - 86. Suppose -4*m + 35 = -5*w, 2*w + 2*w + 27 = 3*m. Put w, o, -4 in increasing order.
o, -4, w
Suppose -n - 4*n = 85. Let j be ((-477)/(-36) - 13)*-8. Put n, 4, j in ascending order.
n, j, 4
Let i = -161 + 293. Let w = i - 131.5. Sort w, -11, -0.01.
-11, -0.01, w
Let h(w) = -12*w + 54. Let l be h(-31). Let t = -429 + l. Put -2, -6, 4, t in decreasing order.
4, -2, t, -6
Suppose -4*j + 43 = -a, 2*a - j + 79 = -0*j. Let w = 0.226 - -0.774. Sort w, -4, 2/3, a in descending order.
w, 2/3, -4, a
Suppose 0 = -4*l + 5*o, 3*l + 0*o = 2*o - 7. Suppose 0*q - 6 = 2*q - 4*m, 20 = 4*m. Suppose -5*w + q = -2*j, -2*w - 40 + 1 = 3*j. Sort l, 1, j.
j, l, 1
Suppose 35*o + 26 = 9*o. Suppose -m = y - 1 + 9, y = -4*m - 23. Sort 3, 7, y, o in descending order.
7, 3, o, y
Suppose -b + 0 + 5 = 0. Suppose -27*a = a - 65*a - 148. Sort -5, b, a, 20 in descending order.
20, b, a, -5
Let c = 1 + -1.2. Let v(j) be the second derivative of 3*j**3/2 + 39*j**2 + 48*j. Let g be v(-8). Sort g, -3, c in descending order.
g, c, -3
Let x be (-240)/(-270) - (-462)/(-459). Let o = -3/379 - 751/96645. Let v = o + x. Sort v, 0.5, 4, -1/6 in descending order.
4, 0.5, v, -1/6
Let i be 4/10 + 7/(385/(-242)). Let z be ((-1)/(-3))/((-6)/90). Sort z, i, 5, -3 in decreasing order.
5, -3, i, z
Let f = -1143 + 1472. Let d = f + -328.5. Suppose 3*q - 3*s - 12 = -3, -3*s = -6. Sort d, q, -8.
-8, d, q
Let t = -2.361 - -2.161. Suppose 10 = -2*z - 0*z. Sort 0.09, t, z in increasing order.
z, t, 0.09
Let i(l) = -l**3 + 14*l**2 + 17*l - 50. Let v be i(15). Suppose 5*z = 4*z + 4*c + 17, 0 = 3*z - 4*c - 19. Put 2, -5, z, v in descending order.
2, z, -5, v
Let q = 4.34 - -13.36. Let k = q + -17.9. Let l = -1 - -0.95. Sort l, -1, -2/13, k.
-1, k, -2/13, l
Let k = -442 + 438. Let o be ((-81)/(-15) - 2) + (-10)/25. Put o, k, -62 in descending order.
o, k, -62
Suppose 40 = 5*l, 15*t - 3*l = 16*t - 24. Sort -15, 18, -2, t.
-15, -2, t, 18
Let h = -33 - -36. Let u(b) = -3*b + 69. Suppose 5*o = j - 0*o - 34, -10 = 5*o. Let f be u(j). Sort 10, f, 5, h in increasing order.
f, h, 5, 10
Let m(x) = -6*x**3 - 18*x**2 - 7*x - 4. Let o be m(-2). Put o, 0, 5, 3 in | {
"pile_set_name": "DM Mathematics"
} |
3. Let f(j) = -3*b(j) - k(j). Let n be f(0). Let x = -19 - -31. What is the greatest common divisor of x and n?
6
Suppose -8 = -5*i - 4*a, 3*a - 4 = -4*i - a. Suppose -d + 16 = -4*v, -d + 0*v + 16 = i*v. Calculate the highest common factor of d and 128.
16
Suppose -6*d = -4*n - d + 357, 3*n - d = 265. Calculate the highest common divisor of n and 8.
8
Suppose 0 = -g + 3*g - 28. Let s = -7 + g. Calculate the highest common factor of s and 49.
7
Let r(q) = -6*q + 2. Let m(z) = -z**3 - 12*z**2 - 10*z + 9. Let l be m(-11). Let x be r(l). Calculate the highest common divisor of 21 and x.
7
Let z = -5 + 15. What is the highest common divisor of z and 20?
10
Let t(h) = -h**2 - 8*h - 6. Let n be t(-7). What is the greatest common factor of 2 and n?
1
Let v be 6/24 + (1 - 4869/(-12)). Calculate the highest common factor of 37 and v.
37
Suppose 0*v + 4*b = -v, v = -b. Suppose v = -3*s - 1 + 40. Suppose n = -2*z + 57, 5*n - 77 = -2*z - 0*n. Calculate the greatest common divisor of s and z.
13
Let w = -157 - -237. What is the greatest common divisor of w and 20?
20
Suppose 0 = 2*r + 3*h - 83, -3*h + 20 = h. Calculate the highest common divisor of 51 and r.
17
Suppose -4*u + 44 = 2*p, 5*u - 49 = p - 2*p. Suppose -5*h + u + 6 = 0. Suppose 126 = h*b + 54. Calculate the highest common divisor of 8 and b.
8
Let m = -21 + 30. Let c be 5/(2 - 15/m). What is the highest common divisor of 10 and c?
5
Let l = 14 + -5. What is the greatest common factor of 1 and l?
1
Let t be (2/(-4))/((-2)/152). Let v = 55 - t. Let a be (-14)/(2/(-17) - 0). Calculate the highest common factor of a and v.
17
Let t = 5 + 1. Suppose -2*u + t = 3*g, 0 = 4*g - u + 3*u - 10. What is the highest common factor of g and 8?
4
Let i(y) = -5 + 0 + y**3 - y**2 - 4. Let g be i(0). Let j be 2 - 2 - g - 0. What is the greatest common divisor of 6 and j?
3
Let a(j) = -2*j - 4. Let v be a(-5). Let c be -132*((-4)/v)/1. Calculate the highest common divisor of c and 22.
22
Let d(l) = l + 16. Let w be d(5). What is the highest common divisor of 7 and w?
7
Let f(d) = -4*d - 3. Let i be f(4). Let v = 27 + i. Calculate the highest common divisor of v and 1.
1
Let q be 25/2 - (-1)/2. Let b = 113 - 48. What is the greatest common factor of b and q?
13
Suppose 5*c - 21 - 109 = 0. Suppose -2*u = 4*h - 46, u + 3*h + 0 = c. Let t be -68*(-1 + (-1)/(-4)). What is the highest common factor of t and u?
17
Suppose 0 = 3*g - 106 + 7. What is the highest common divisor of g and 363?
33
Let c be (-30)/(-1 - 4/(-8)) + -3. Calculate the greatest common factor of c and 19.
19
Let c = 13 - -5. Let k be 454/18 - 4/c. Suppose -4*b - 5*q = 0, 9*b + q = 4*b + 21. Calculate the greatest common factor of b and k.
5
Let m(i) = -2*i + 3. Let q be m(2). Let s be -3*-4*q/6. Let l be (s + 0/(-3))*-5. What is the highest common divisor of l and 15?
5
Let b = -58 + 59. Let m be 33/12 + 1/4. What is the greatest common factor of b and m?
1
Let q = -70 - -142. Calculate the highest common divisor of 9 and q.
9
Let u be (0/(-3) + -13)/(-1). Let x = u - -9. Suppose 26 = 3*k - x. Calculate the highest common factor of 48 and k.
16
Suppose f + 42 = 2*b - 11, -2*f - 19 = -b. Suppose b = 3*d - 13. Let x = d - 2. What is the greatest common divisor of 8 and x?
4
Let l be (-16)/20 + (-270)/(-25). Calculate the highest common factor of 110 and l.
10
Let x be ((-2)/(-6))/((-5)/(-195)). Suppose -4*n + 6*n = 78. Calculate the greatest common factor of n and x.
13
Suppose -3*u + v - 5 + 14 = 0, 0 = 5*u + 2*v - 26. What is the greatest common divisor of u and 32?
4
Suppose 0 = -2*m + 13 - 37. Let p be 2/m - (-340)/24. What is the greatest common factor of p and 126?
14
Let a(f) = 3*f**2 + 5*f - 3. Let v be a(3). Calculate the greatest common divisor of v and 26.
13
Let b be (-338)/(-3) + 16/(-24). Suppose 4*q + 3*n - 26 = 26, 0 = -2*q + n + 36. Calculate the greatest common divisor of q and b.
16
Let v = 5 - -6. Suppose -89 = -0*s - s - z, 4*s + 3*z - 351 = 0. Suppose -259 = -5*g + 4*l, 5*l + 116 = 4*g - s. Calculate the highest common factor of g and v.
11
Let j(d) = 4*d**2 - d - 6. Let u be j(9). Let t = -162 + u. What is the greatest common factor of t and 21?
21
Suppose h + 72 = 3*h. Let m(i) = -i**3 - 3*i**2 + 3*i + 1. Let f be m(-4). Suppose -211 + h = -f*j. Calculate the highest common divisor of j and 14.
7
Let y(t) = -2*t + 2. Let q(d) = -4*d + 3. Let x(l) = 3*q(l) - 7*y(l). Let i be x(6). Calculate the greatest common divisor of i and 77.
7
Let m = -70 - -96. Calculate the greatest common divisor of m and 2.
2
Let s = 49 + -7. What is the highest common divisor of 6 and s?
6
Let t = 38 - 10. Let a = t - 14. What is the greatest common divisor of 126 and a?
14
Let b be ((-20)/6)/((-12)/306). Let i = -46 + b. Calculate the greatest common factor of i and 13.
13
Let l(t) = -9*t - 72. Let n be l(-29). What is the highest common factor of n and 7?
7
Suppose -6 = -2*j + 30. Let w be 273/j + 1/(-6). What is the greatest common factor of w and 150?
15
Let f(p) = -p**3 - 6*p**2 + 3. Let s be f(-6). Suppose a - 2*z - 5 = z, -4*z = -a + s. What is the greatest common divisor of a and 121?
11
Suppose 7*z - 60 = 2*z. Let o be 1 + -2 - z/(-1). What is the highest common factor of 99 and o?
11
Suppose -45 = -5*t + 45. Calculate the greatest common divisor of t and 27.
9
Let d be ((-2)/6)/(3/(-18)). Calculate the highest common factor of 4 and d.
2
Let j be (4 - (-72)/(-20))/((-2)/(-100)). What is the greatest common divisor of 8 and j?
4
Suppose -42 = -2*l - 0. What is the highest common factor of 3 and l?
3
Let f(j) = 32*j + 10. Let h be f(8). Suppose 0 = -5*o + h + 274. Suppose 0 = -2*s - s + o. What is the greatest common factor of 4 and s?
4
Suppose 6*c = -z + 3*c + 16, c = z. Suppose -4*j + 4*x = -64, -2*j + 4*x = -19 - 21. What is the greatest common factor of j and z?
4
Suppose 7*y - 164 = 4*y - 4*l, 2*y - 4*l - 136 = 0. Calculate the greatest common divisor of y and 24.
12
Let p be (0 - -2) + 1 + 81. Calculate the highest common factor of 12 and p.
12
Suppose 0 = -2*v - v + 54. Let a(i) = -2*i**3 + 39*i**2 - 15*i + 14. Let w be a(19). What is the greatest common divisor of v and w?
18
Suppose 19*w - 8*w = 44. Calculate the greatest common factor of w and 44.
4
Let l = 15 - -5. Calculate the highest common factor of 50 and l.
10
Let m be (500/(-15))/((-4)/6). What is the highest common factor of m and 10?
10
Suppose -4*y = 4*q - 8, -y - 4*q = y. Calculate the greatest common factor of 64 and y.
4
Let p(q) = -15*q - 3. Let u be p(-2). Calculate the greatest common divisor of u and 3.
3
Let j be (-2)/2 + -1 + -1. Let l be j - ((-1 - -1) + -21). Calculate the greatest common divisor of l and 27.
9
Let p = 36 + 27. Suppose 2*k - v = p, 5*k = v - 3*v + 180. Calculate the highest common divisor of k and 85.
17
Let c be (4 - (5 + 0))*-35. Calculate the greatest common factor of 5 and c.
5
Let j(q) = q**2 - 8*q + 3. Let w be j(8). Suppose 0 = -w*y - 6, -47 = -3*o + 4*y - 0*y. Let m = -14 - -105. What is the greatest common divisor of o and m?
13
Let y = 9 + 0. Let g(o) = 3*o - 1. Let s be g(3). Let a be (4/s)/((-2)/(-288)). What is the highest common factor of a and y?
9
Let b = 44 - 18. Calculate the greatest common factor of 182 and b.
26
Let v be (-49 - -7)*14/(-4). Suppose 5*b - 134 + 29 = 0. What is the greatest common divisor of b and v?
21
Let f be 6/36 + 429/18. Calculate the greatest common factor of 6 and f.
6
Suppose v + 0*k - 379 = 2*k, 5 = -k. Calculate the highest common factor of v and 41.
41
Suppose -2*r = 6*z - 3*z + 4, 3*z + 3*r = -6. Let w = -12 + z. Let x be 4/(8/(-5))*w. What is the greatest common divisor of 10 and x?
10
Let i be 2 - (1 - (1 - -3)). Suppose i*w - 5 = 0, 2*a + 91 = -3*w + 234. What is the greatest common divisor of 28 and a?
14
Let b(t) = -t + 16. Suppose 2*z - 6 = 16. Let h be b(z). Suppose -5*f - 28 = h*y - 133, 5*f - 2*y = 98. Calculate the highest common factor of 50 and f.
10
Let u = -90 + 51. Let n = -18 - u. Suppose -3*r + n = -2*r - 3*q, 3*r - 5*q = 67. Calculate the highest common divisor of 12 and r.
12
Suppose -3 - 697 = -5*b. What is the greatest common factor of 56 and b?
28
Suppose 5*c = 2*q - 40, -5*c = q - 0*c - 20. Suppose 0 = 2*u - 5*u + 9, 756 = 5*a + 2*u. Suppose 2*s - a = -s. Calculate the hig | {
"pile_set_name": "DM Mathematics"
} |
alculate the common denominator of -66/25415 and 81/3128.
203320
Calculate the least common multiple of 360270 and 12009.
360270
Calculate the common denominator of -49/50 and -49/45445.
454450
What is the common denominator of -157/42 and 35/958074?
6706518
What is the common denominator of 74/9861 and -19/173?
9861
What is the least common multiple of 2535 and 132210?
1718730
What is the smallest common multiple of 13 and 180?
2340
Find the common denominator of 29/45546 and 93/10.
227730
Calculate the common denominator of 86/21 and -19/22659.
22659
Calculate the smallest common multiple of 816 and 1304376.
2608752
Calculate the least common multiple of 328510 and 910.
328510
Calculate the smallest common multiple of 270 and 29970.
29970
What is the least common multiple of 26646 and 697237?
4183422
What is the common denominator of -125/4872 and 11/28014?
112056
Calculate the lowest common multiple of 17010 and 6.
17010
Calculate the common denominator of 25/39768 and 37/312.
516984
What is the smallest common multiple of 798 and 1995?
3990
Find the common denominator of -5/2167 and -1/90423.
994653
Calculate the lowest common multiple of 245 and 265.
12985
What is the common denominator of -61/83890 and -32/58723?
587230
Calculate the common denominator of -81/88 and 26/12177.
97416
What is the common denominator of -59/45306 and -133/453060?
453060
Calculate the common denominator of 69/68 and -39/6154.
12308
Calculate the smallest common multiple of 3 and 903.
903
Calculate the common denominator of 41/51 and -11/2517.
42789
What is the lowest common multiple of 531 and 11446?
103014
What is the common denominator of -31/28732 and -11/7836?
86196
What is the common denominator of -16/561 and -29/238272?
2620992
What is the smallest common multiple of 6 and 188224?
564672
What is the least common multiple of 1083 and 41?
44403
What is the least common multiple of 4074 and 104760?
733320
Calculate the common denominator of -75/161782 and -77/14068.
323564
Find the common denominator of -29/1462 and 71/217838.
217838
What is the lowest common multiple of 26440 and 85930?
343720
What is the common denominator of 51/865 and 83/380?
65740
What is the lowest common multiple of 68376 and 85470?
341880
What is the least common multiple of 960 and 240?
960
Find the common denominator of -155/8892 and 37/1254.
97812
What is the lowest common multiple of 530 and 8339?
4419670
What is the least common multiple of 6187 and 2690?
61870
What is the common denominator of -37/120 and 67/8604?
86040
Calculate the smallest common multiple of 315 and 561.
58905
Calculate the least common multiple of 1088 and 15912.
127296
What is the smallest common multiple of 438 and 8004?
584292
What is the common denominator of -23/3189438 and 143/1190?
15947190
What is the common denominator of 13/634886 and -25/9898?
4444202
Calculate the smallest common multiple of 18790 and 40.
75160
What is the lowest common multiple of 10120 and 335?
678040
Calculate the smallest common multiple of 86009 and 86009.
86009
Calculate the common denominator of -3/1201 and -44/953.
1144553
Calculate the lowest common multiple of 16560 and 18.
16560
What is the common denominator of 3/583637 and 47/34844?
2334548
Calculate the common denominator of -15/172 and 35/71208.
71208
What is the smallest common multiple of 3030 and 6060?
6060
Find the common denominator of 115/72 and -49/281682.
1126728
Calculate the common denominator of 15 and -67/16269.
16269
Calculate the common denominator of -83/406176 and -101/48.
406176
Calculate the common denominator of -95/5328 and 109/6512.
58608
Find the common denominator of -9/229 and 15/15178.
3475762
Calculate the least common multiple of 1 and 37926.
37926
Calculate the smallest common multiple of 201573 and 21.
1411011
What is the least common multiple of 80948 and 60?
1214220
Calculate the common denominator of 76/1151255 and -71/16317.
10361295
What is the smallest common multiple of 1768 and 19656?
334152
Find the common denominator of -163/3744 and 113/104760.
5447520
What is the common denominator of 21/52 and 85/177224?
2303912
What is the common denominator of 45/3128 and 21/3128?
3128
What is the least common multiple of 92259 and 20502?
184518
Find the common denominator of 34/749 and 4/189.
20223
Calculate the lowest common multiple of 12072 and 13581.
108648
Calculate the lowest common multiple of 3272 and 6953.
55624
Calculate the lowest common multiple of 21840 and 138684.
2773680
Calculate the smallest common multiple of 15555 and 935.
171105
What is the least common multiple of 50775 and 91395?
456975
What is the least common multiple of 6 and 7470?
7470
Calculate the lowest common multiple of 10 and 30272.
151360
What is the smallest common multiple of 153 and 8415?
8415
Calculate the common denominator of 59/34 and 31/61642.
61642
Calculate the common denominator of -31/63 and 39/84140.
757260
Find the common denominator of 70/22077 and 11/366.
2693394
What is the lowest common multiple of 36840 and 400?
368400
Calculate the common denominator of -103/4214 and 53/216.
455112
What is the least common multiple of 990 and 904200?
2712600
Calculate the lowest common multiple of 516 and 90945.
363780
Find the common denominator of 43/19845 and -37/245.
19845
Calculate the least common multiple of 2 and 1392.
1392
Calculate the least common multiple of 525 and 17850.
17850
Calculate the smallest common multiple of 438288 and 18262.
438288
Calculate the lowest common multiple of 405552 and 608328.
1216656
What is the common denominator of 27/220 and 109/400?
4400
Find the common denominator of 107/8650 and 65/1557.
77850
Calculate the least common multiple of 2385 and 42135.
126405
Find the common denominator of 19/333 and -163/5772.
17316
Calculate the least common multiple of 8 and 466738.
1866952
What is the common denominator of -149/30 and -85/58626?
293130
What is the least common multiple of 3757 and 32946?
428298
Find the common denominator of 89/5200 and 169/210.
109200
Find the common denominator of 97/1211292 and -63/269176.
2422584
Calculate the smallest common multiple of 20234 and 4228.
283276
Calculate the smallest common multiple of 10 and 619834.
3099170
Calculate the lowest common multiple of 336 and 1134.
9072
What is the common denominator of 21/6758 and 37/75646?
2345026
Find the common denominator of 25/477 and 115/160272.
160272
Calculate the common denominator of -62/68775 and 71/252175.
756525
What is the common denominator of -14/389 and -16/413?
160657
What is the smallest common multiple of 44737 and 12201?
134211
What is the lowest common multiple of 4460 and 9812?
49060
Calculate the smallest common multiple of 6 and 818156.
2454468
Calculate the lowest common multiple of 1525 and 3965.
19825
Find the common denominator of -23/1120 and -37/8448.
295680
Calculate the lowest common multiple of 1190 and 21250.
148750
What is the common denominator of -71/12 and -17/880971?
3523884
Calculate the least common multiple of 52506 and 87510.
262530
Calculate the lowest common multiple of 11095 and 649850.
4548950
What is the lowest common multiple of 65037 and 13692?
260148
What is the smallest common multiple of 119068 and 84048?
1428816
Calculate the least common multiple of 27024 and 22520.
135120
What is the common denominator of -47/6 and -75/1877374?
5632122
Find the common denominator of 29/59488 and 137/936.
535392
What is the common denominator of -45/1232 and -37/7392?
7392
Calculate the common denominator of -43/1120 and -77/576.
20160
What is the smallest common multiple of 9370 and 10?
9370
What is the least common multiple of 1200 and 135600?
135600
Calculate the smallest common multiple of 28327 and 130.
283270
What is the common denominator of -8/16831 and -17/36?
605916
Calculate the common denominator of -77/16 and 31/35496.
70992
What is the lowest common multiple of 31428 and 5820?
157140
Calculate the smallest common multiple of 409 and 386.
157874
What is the lowest common multiple of 3978 and 23205?
139230
Calculate the common denominator of 31/10 and 31/62760.
62760
What is the lowest common multiple of 52142 and 1682?
52142
Find the common denominator of 57/218680 and -97/196.
15307 | {
"pile_set_name": "DM Mathematics"
} |
0, 2
Let p be -2*(52/84 - 7*63/343). Solve -p + 4/3*k**2 + 2/3*k**3 - 2/3*k = 0.
-2, -1, 1
Let w(k) be the first derivative of 2*k**6/21 - 4*k**5/5 - 27*k**4/7 - 116*k**3/21 - 20*k**2/7 + 1335. Find s, given that w(s) = 0.
-1, 0, 10
Let q(s) be the second derivative of -3*s**5/160 - 17*s**4/32 - 9*s**3/2 - s - 166. Factor q(k).
-3*k*(k + 8)*(k + 9)/8
Let p(a) be the second derivative of a**4/3 + 286*a**3/3 - 1480*a**2 - 7035*a. Determine q, given that p(q) = 0.
-148, 5
Let u be 729/(-18)*(2/(-3) + 0). Suppose 12*q - u + 3 = 0. Let -12*v + 8 + 6432*v**2 - 6430*v**2 + q = 0. What is v?
1, 5
Let o(x) be the first derivative of x**5/5 + x**4 - 19*x**3/3 + 7*x**2 + 2376. Find a, given that o(a) = 0.
-7, 0, 1, 2
Determine n so that -101*n - 5*n**2 - 256*n + 2360 - 254*n - 559*n = 0.
-236, 2
Let d = -209 + 201. Let b(y) = 7*y**2 - 556*y - 8. Let s(m) = 2*m**2 - 186*m - 3. Let j(f) = d*s(f) + 3*b(f). Factor j(o).
5*o*(o - 36)
Suppose 4*c = -2*p + 302, -2*p = p + 3*c - 459. Solve -2420 - p*q - 3*q**2 - 2*q**2 - 65*q = 0 for q.
-22
Let g = 40 - 40. Suppose g = 5*m - 2*d + d - 25, -3*m = -3*d - 27. Find w such that 14 + 45*w**2 - m - 60*w + 10 = 0.
2/3
Let s(m) be the second derivative of 3*m**5/20 - 143*m**4/12 + 245*m**3/3 - 132*m**2 - 2*m + 355. Factor s(w).
(w - 44)*(w - 3)*(3*w - 2)
Let s(n) be the second derivative of -2*n**7/3 + 424*n**6/15 - 991*n**5/5 + 1694*n**4/3 - 2216*n**3/3 + 400*n**2 + n - 583. Solve s(v) = 0.
2/7, 1, 2, 25
Factor -20589*d**3 - 48*d**2 + 20592*d**3 + 45*d - 6*d + 90.
3*(d - 15)*(d - 2)*(d + 1)
Let a(y) be the first derivative of 2*y**3/3 - 14*y**2 + 80*y + 4343. Find l such that a(l) = 0.
4, 10
Let d = -9544 + 9547. Let t(o) be the first derivative of -1/3*o + 3/4*o**2 - 7/18*o**d - 23. Factor t(i).
-(i - 1)*(7*i - 2)/6
Let n(t) be the first derivative of 55*t**4/4 + 530*t**3/3 - 1390*t**2 + 3000*t + 5177. Factor n(p).
5*(p - 2)**2*(11*p + 150)
Let j = -11650 - -11653. Find r, given that -1 - 1/2*r**4 + 3/2*r**2 - 7/4*r + 7/4*r**j = 0.
-1, -1/2, 1, 4
Suppose 4*l = 5*y + 27, 5*l - 13*y - 18 = -12*y. Find w such that 106*w**4 + 109*w**4 - 217*w**4 - 20*w**l + 22*w**2 = 0.
-11, 0, 1
Let b = -63408 - -63408. Suppose 2/13*o**2 + b + 34/13*o = 0. Calculate o.
-17, 0
Suppose -78 = -4*t - 94. Let n(o) = 2*o**2 - o - 1. Let s(h) = 119*h**2 + 45*h + 5. Let y(u) = t*n(u) - 4*s(u). Factor y(c).
-4*(11*c + 2)**2
Let f be -2 + 7 + (-8)/(-28)*(-34573)/1980. Let t(w) be the second derivative of 0 + 1/27*w**3 + 4/9*w**2 - f*w**5 - 2/27*w**4 - 3*w. Factor t(k).
-2*(k - 1)*(k + 1)*(k + 4)/9
Suppose -339*y + 356*y = 51. Suppose 0 = -q + 2, 7*r = 4*r - 5*q + 25. Let -4*z**r - 10*z**3 - 12*z**4 + 4*z**3 - y*z**3 + z**3 = 0. Calculate z.
-2, -1, 0
Let h(g) be the second derivative of g**4/3 - 9880*g**3/3 + 12201800*g**2 + 8635*g. Let h(j) = 0. What is j?
2470
Let c(p) be the second derivative of -p**4/84 - p**3/2 - 34*p**2/7 + 130*p. Factor c(f).
-(f + 4)*(f + 17)/7
Factor 4*k**4 - 12*k + 7*k**4 + 7*k**3 + 3*k**3 - 13*k**4 + 2*k**2 + 2*k**3.
-2*k*(k - 6)*(k - 1)*(k + 1)
Factor 872 - 444*j + 32*j**2 - 97*j**2 + 38*j**2 + 31*j**2.
4*(j - 109)*(j - 2)
Let n(d) = 102*d - 97. Let m be n(1). Suppose m*z = -k - 3 - 5, z + 4 = k. Factor k*q**2 - 4/3 + 10/3*q.
2*(q + 2)*(3*q - 1)/3
Suppose w - 7 = -4*b, 5*w = -2*b + 4*b - 9. Suppose -b*j = 11 - 15. Solve 21*d - 243 + 41*d - 7*d - d - 3*d**j = 0 for d.
9
Let r(u) be the first derivative of -u**8/560 - u**7/140 + u**6/40 - u**3/3 - 81*u - 23. Let l(f) be the third derivative of r(f). Factor l(b).
-3*b**2*(b - 1)*(b + 3)
Let -88 - 224/5*r - 2/5*r**2 = 0. What is r?
-110, -2
Determine b, given that -198/5*b**2 + 0 + 3/5*b**3 + 3267/5*b = 0.
0, 33
Let j(x) be the third derivative of -x**5/15 + 22*x**4 + 266*x**3/3 + 2629*x**2. Let j(t) = 0. Calculate t.
-1, 133
Factor 13/2*x**2 - 6*x - 1/4*x**3 + 0 - 1/4*x**4.
-x*(x - 4)*(x - 1)*(x + 6)/4
Let d(v) be the first derivative of v**5/300 + v**4/40 - 2*v**3/15 - 29*v**2/2 + 23. Let t(q) be the second derivative of d(q). Suppose t(f) = 0. Calculate f.
-4, 1
Let d be (-15)/6*28/7. Let v be (-5)/((-6)/8 + d/(-24)). Find u, given that 10*u**3 - 4*u**4 - 8 - 2 - u**4 + v - 10*u = 0.
-1, 1
Let p be (-3969)/1134*(0 + 40/(-14)). Let y be 31/p + (-8)/400*5. Solve -6/7*t**y - 8/7*t + 16/7*t**2 + 0 = 0.
0, 2/3, 2
Let h(q) be the second derivative of q**5/170 - 23*q**4/102 + 22*q**3/51 + 62*q - 2. What is r in h(r) = 0?
0, 1, 22
Suppose -10*f + 0*f = -4410. Solve -25*h**3 - f*h + 84*h - 250 + 240*h**2 - 168*h = 0 for h.
-2/5, 5
Let g(t) be the first derivative of t**4/5 - 272*t**3/15 + 394*t**2/5 - 104*t - 1587. What is u in g(u) = 0?
1, 2, 65
Let f(w) be the first derivative of -92/7*w**2 + 2116/7*w + 209 + 4/21*w**3. Factor f(c).
4*(c - 23)**2/7
Suppose -2/15*m**5 - 8/3*m**4 + 0 + 32/3*m**2 - 64/5*m**3 + 160/3*m = 0. What is m?
-10, -2, 0, 2
Let g(t) = -5*t**2 + 135*t - 128. Let f be g(26). Let s(y) be the first derivative of 12 + 0*y**3 - y + 3/4*y**f - 1/8*y**4. Factor s(c).
-(c - 1)**2*(c + 2)/2
Suppose 124*l - 1122*l**2 + 2391*l**2 + 8 - 1209*l**2 = 0. What is l?
-2, -1/15
Let u(j) be the second derivative of j**4/108 + 16*j**3/9 + 95*j**2/18 + 1504*j + 2. Factor u(t).
(t + 1)*(t + 95)/9
Factor 3*a**2 + 4*a - 14*a + 6 + 69 - 32*a + 12*a.
3*(a - 5)**2
Determine g so that -35710*g + 122*g**2 + 35710*g + 2*g**3 = 0.
-61, 0
Let x(i) be the third derivative of i**6/140 + 2*i**5/35 - 67*i**4/28 - 10*i**3 + 551*i**2. Factor x(z).
6*(z - 7)*(z + 1)*(z + 10)/7
Let k(j) be the first derivative of 2*j**3/33 + 688*j**2/11 + 236672*j/11 + 2054. Find m, given that k(m) = 0.
-344
Let k(c) = -6*c + 128. Let i be k(21). Let 280*b**2 + 15 - 543*b**i - 35*b - 5*b**3 + 288*b**2 = 0. Calculate b.
1, 3
Let i = -127 - 124. Let k = i + 254. Factor 15/7*p**4 + 0 - 3/7*p**k - 3/7*p**2 + 0*p - 9/7*p**5.
-3*p**2*(p - 1)**2*(3*p + 1)/7
Determine b, given that -438/7*b**3 + 2/7*b**5 + 0 - 830/7*b**2 + 1300/7*b - 34/7*b**4 = 0.
-5, 0, 1, 26
Let w be (112/(-350))/(16/(-20)) - 128/(-30). Determine v, given that w*v**2 + 0 + 13/3*v + 1/3*v**3 = 0.
-13, -1, 0
Let k be (60162/28455 + (-10)/14 + 1)/1. Factor -k*t + 2 + 2/5*t**2.
2*(t - 5)*(t - 1)/5
Let q(l) be the first derivative of -25*l**6/6 - 38*l**5 + 105*l**4/4 + 190*l**3/3 - 40*l**2 - 1157. What is f in q(f) = 0?
-8, -1, 0, 2/5, 1
Let y be (-112)/(-252)*((-55)/(-10) - 1). Let t(w) be the third derivative of 7/72*w**6 + 33*w**y + 0 + 0*w + 0*w**3 + 4/9*w**5 + 5/18*w**4. Factor t(g).
5*g*(g + 2)*(7*g + 2)/3
Let y(b) be the second derivative of 0*b**3 - 1/480*b**5 + 1/64*b**4 - 6*b**2 - 23*b + 0. Let s(j) be the first derivative of y(j). Factor s(a).
-a*(a - 3)/8
Let b(j) be the third derivative of -j**5/210 + 2*j**4/7 + 16*j**3/3 + 3*j**2 - 3. Suppose b(x) = 0. What is x?
-4, 28
Factor 24/13 - 2/13*n**2 + 22/13*n.
-2*(n - 12)*(n + 1)/13
Let k be (123363/(-18276))/(18/(-8)). Factor 9/2*m**k - 27*m**2 + 54*m + 0 - 1/4*m**4.
-m*(m - 6)**3/4
Let y(k) be the first derivative of -2/45*k**3 - 16/15*k**2 + 24/5*k + 238. Factor y(l).
-2*(l - 2)*(l + 18)/15
Let u(a) be the third derivative of -451/90*a**5 + 0*a + a**2 + 7/36*a**6 + 52/9*a**3 + 2 - 14/9*a**4. Find s such that u(s) = 0.
-2/5, 2/7, 13
Let n = -722/205 - -680734/1435. Let q = -470 + n. Factor q*a + 0 - 2/7*a**2.
-2*a*(a - 3)/7
Let q(y) be the first derivative of y**6/30 - 2*y**4/3 - 45*y**2/2 + 3. Let j(f) be the second derivative of q(f). Factor j(i).
4*i*(i - 2)*(i + 2)
Let c(q) = -1843*q**2 + 175*q + 44. Let b(w) = 3688*w**2 - 349*w - 72. Let y(u) = -6*b(u) - 10*c(u). Solve y(d) = 0.
2/43
Factor -468/5*j + 368/5 + 102/5*j**2 - 2/5*j**3.
-2*(j - 46)*(j - 4)*(j - 1)/5
Let z(f) = -4*f**3 - f + 2. Let b be z(-3). Let r = -47 + b. Factor 63*q**2 - 129*q**2 + r*q**2 - 4*q + q**3.
q*(q - 2)*(q + 2)
What is l in 12/5 - 2/5*l**3 + 12/5*l**2 - 22/5*l = 0?
1, 2, 3
Let s(g) be the second derivative of -g**4/6 - 74*g**3/3 - 213*g**2 - 96*g - 5. Factor s(c).
-2*(c + 3)*(c + 71)
Suppose 0 = 3*w - 3*d - 9, -4*d - 31 + 19 = w. Let g be 8/6 - (-2)/(-3). Factor -4/3*x - 2*x**2 + 0*x**3 + g*x**4 + w.
2*x*(x - 2)*(x + 1)**2/3
Suppose -936 = -3*p - 4*k, -p + 936 = 2*p + 6*k. Suppose 8 = 316*x - p*x. Factor -24/5*d**4 + 9/5*d**3 + 0*d + 0 + 0*d**x - 9/5*d**5.
-3*d**3*(d + 3)*(3*d - 1)/5
Let p(i) be the third deriv | {
"pile_set_name": "DM Mathematics"
} |
9, -8*b = -y - 11*b + 11 for y.
-1
Solve 4*h + 4*d = 0, -3*h = -d + 7 + 5 for h.
-3
Solve 15*b + 21 = -3*s + 20*b, 6 = 2*b for s.
-2
Solve -3*r - 9*b + 6 = -8*b, b + 9 = 2*r for r.
3
Solve 5*z = -2*t - 6, 0 = -3*z + 6*t - t - 16 for z.
-2
Solve -27 = -2*d - 5*g, 0*d + 13 = -2*d + 3*g for d.
1
Solve -4*r + 4*k = -r - 17, 2*r = k + 3 for r.
-1
Solve 5*p = 2*j + 2, 8*p + 1 = -j + 13*p for j.
-1
Solve -h - 4*s = -0*s + 24, 3*h + 5*s = -37 for h.
-4
Solve z = 3*t - 5, 39 = -3*z + 3*t + 36 for z.
1
Solve 4*s - 6*q + 3*q = -4, 5*q = -s - 24 for s.
-4
Solve 5*q = y + 2, -18*q + 13 = -14*q + 3*y for q.
1
Solve 2*t - 1 = -3*n, -10*t + 5*t - 5 = 0 for n.
1
Solve 4*k + 5*h = -30, -21 = 5*k - 4*h + 2*h for k.
-5
Solve -5*u = 2*g + 33, u + 205 = 2*g + 208 for g.
-4
Solve 4*i + 5*n = 6, -6*n + 2*n = -8 for i.
-1
Solve 3*q = -3*z - 21, 44*q + 2*z - 4 = 48*q for q.
-3
Solve 4*v + 5*f = -12, 8*f - 3 = v + 10*f for v.
-3
Solve 5*s - 2 = 4*a, -s + 13*a - 8 = 15*a for s.
-2
Solve 5*b = h + 7*b + 6, 8 = -h - 3*b for h.
-2
Solve -8*r - 5*g = -3*r - 25, -2*r = 3*g - 13 for r.
2
Solve -3*i - 5*w + 6*w = -17, -3*w = i + 1 for i.
5
Solve 0 = 5*p - w + 23, -5*p = 2*w + 145 - 131 for p.
-4
Solve 5*p = -2*j - 8, 16 - 4 = -3*p for j.
6
Solve 3 = -5*z + 10*z + 4*i, -5*i + 8 = 2*z for z.
-1
Solve 5 = -3*f + 4*h - 3, f = 5*h - 10 for f.
0
Solve -2*j + 2*o = 3*o + 13, -o = -j - 2 for j.
-5
Solve -2*n - x = -4*n + 8, 4*x - 8 = 0 for n.
5
Solve 5*m = 2*d - 4, -14*d + 12*d + 4 = 2*m for d.
2
Solve 20 = 5*q - w, -2*w - w = -5*q + 10 for q.
5
Solve -c = -4*a - 3, -5*c = -4*a - 3 + 20 for a.
-2
Solve -7*o + 2 = -2*o - 2*n, 5 = -4*o - 5*n for o.
0
Solve 333*y + 2*t + 10 = 330*y, -5*t - 25 = 5*y for y.
0
Solve -5*t + 2*n - 6 = 4*n, -15 = 4*t + 5*n for t.
0
Solve 2*x + 10 = -k, -2*x + k + 13 = -5*x for x.
-3
Solve 2*y + 2*i - 2 - 6 = 0, -8 = 2*y - 2*i for y.
0
Solve 12 = 2*m - 5*m, f - 4*m = 18 for f.
2
Solve -9*r + 12*r + 4*o = 7, 5*r - 1 = 4*o for r.
1
Solve -d - 3*w + 1 = -3*d, -2 = -d - w for d.
1
Solve 4*u - 4*r = -8, 8 + 1 = -3*u + 2*r for u.
-5
Solve -5*y + 3*c - 1 = 0, 6 + 1 = -3*y + 5*c for y.
1
Solve 2*g + 21 = -v + 34, 3*v = -g + 19 for g.
4
Solve 0 = 3*n + 3*k - 3, -8*n = -11*n + 5*k + 19 for n.
3
Solve 5*h - 3*s - 51 = 0, 20*h - 18*h = -s + 16 for h.
9
Solve -2*v = x, 5*x - 59*v + 54*v = 0 for x.
0
Solve 4*t + 60 = -5*k, -41*k = -37*k - 3*t + 17 for k.
-8
Solve -2*h = -2*o + o - 11, 2*o + 2 = 0 for h.
5
Solve -17*k = -18*k - 2*u - 3, 0 = 4*k + 2*u + 12 for k.
-3
Solve -2*o = -12*n + 7*n + 28, 2*n - 15 = -3*o for n.
6
Solve -4*p - 100*n + 96*n + 12 = 0, -5*p + 17 = 3*n for p.
4
Solve -r = -4*n - 10, 17 = n - 4*n - 4*r for n.
-3
Solve 0*y + 4*y = -k - 3, -2*y + 4*k - 24 = 0 for y.
-2
Solve 0 = -2*q + 8, -u + 9 = 5*q - 3*q for u.
1
Solve 0*f + 7 = f + 4*o, f - 2*o - 1 = 0 for f.
3
Solve 6*j + 8 = 5*j - 2*x, -29 = -2*j + 5*x for j.
2
Solve -3*m + q = -3*q - 5, 2*q = -5*m - 9 for m.
-1
Solve 4 = 2*w - g, -2*w - 10*g + 8*g + 16 = 0 for w.
4
Solve 0 = -2*b + n + 8, 0 = -5*b + 3*n - 216 + 236 for b.
4
Solve 110*p = 112*p - v - 13, 3*p - 32 = 4*v for p.
4
Solve -5*q - 12 = -7*v, -45 = -q - 4*v - 69 for q.
-8
Solve b - 5*i = -24, 0 = -b + 4*i - 5*i for b.
-4
Solve 32 = 3*u + 19*b - 14*b, -2*b = -8 for u.
4
Solve x = 5*w + 9, 4*x - 5 = x + 4*w for x.
-1
Solve -2*k - 2*z + 3 - 1 = 0, -z - 5 = -k for k.
3
Solve 3*j + j - 16 = 0, 0 = 2*l - 2*j + 14 for l.
-3
Solve 2*z - 5*s + 13 = -1, 2*s + 6 = -5*z for z.
-2
Solve 3*w = 15, -4*o = -11*w + 6*w + 9 for o.
4
Solve -5*m = 15, m + 20 = -5*x - 4*m for x.
-1
Solve f = s - 3, -s + 2*f = -0*f - 1 for s.
5
Solve 2 + 5 = 2*w + 3*s, 0 = 4*w + 2*s - 10 for w.
2
Solve -9*f - 5*w + 40 = -14*f, 0 = 3*f + 5*w - 8 for f.
-4
Solve p = -5*z - 3 - 14, 0 = 3*z + 4*p + 17 for z.
-3
Solve 3*n + 3 = -4*b, b - 2*b = 3*n + 3 for b.
0
Solve -4*v = -i + 7, 4 = -5*i + 5*v - 6 for i.
-5
Solve 3*u - 2*o = 6 + 4, 2*u + 4*o = 12 for u.
4
Solve 3*t = -5*j + 3 - 33, 15 = -3*t for j.
-3
Solve 21*h - 5*x + 3 = 20*h, 3*x = 5*h - 7 for h.
2
Solve 4*g - 13 = -5*x, -20*x - 9 = -19*x - 5*g for x.
1
Solve -t + 18 = 3*i + 5, -3*t = -4*i + 26 for t.
-2
Solve 0 = 3*a - 2*p - 7 - 3, -4*a + 5*p = -25 for a.
0
Solve -7 = -3*v + 2*h, -3*v = -4*v - 14*h + 17 for v.
3
Solve 4*s - 6 = -14, 3 = -c - 4*s for c.
5
Solve -5 + 3 = -c - 3*p, 2*c = 4*p + 4 for c.
2
Solve -5*d - 2 = -4*l - 1, -d = 5*l + 6 for l.
-1
Solve -2*b = -3*r, -5*b + 3*r + 8 = -1 for b.
3
Solve 4*c = 5*q + 108 - 111, 0 = 3*c - 4*q + 3 for c.
3
Solve -20 = 5*h, -15*l = -14*l + 2*h + 3 for l.
5
Solve 4*s - 4*b - 40 = -0*b, -5*s = -b - 30 for s.
5
Solve -2*n - 17 = 2*n + 5*r, 4*r + 16 = -2*n for n.
2
Solve -4*c + 5*f = f, -2*c = 5*f + 35 for c.
-5
Solve -3*j - 11 = 4*k, -5*k - 2*j + 0*j - 12 = 0 for k.
-2
Solve 5*h + 50 = 3*q - 8*q, 5*q = 3*h - 10 for h.
-5
Solve 22*i + h + 10 = 17*i, 3*i + 4*h - 11 = 0 for i.
-3
Solve -3*c - c + 4*p = 12, 5*p = 4*c + 11 for c.
-4
Solve -2*q - 18 = -3*b, 0*q + 2*q = -6 for b.
4
Solve 0 = -9*d + 6*d + 4*x - 25, -x + 19 = -5*d for d.
-3
Solve 0 = 5*g + 2*r + 10, 0 = -g - 2*r - 3 + 1 for g.
-2
Solve r - 4 = 3*x, -26*x - 2*r = -28*x + 4 for x.
-3
Solve z + 14*b + 4 = 9*b, 4*z + b = -16 for z.
-4
Solve -2 = -2*v, 4*v - 12 = -4*l - 0*l for l.
2
Solve -2*f = 4*t - 10, 2*f + 2*f = 3*t - 2 for t.
2
Solve x = -b + 5, -3*b + 19 = 5*x - b for x.
3
Solve -2*i + 2 = 3*m, 2*m + 2*i - 4 = -2*m for m.
2
Solve 4*v = -4*y + 16, 4*v - 4 = y + 7 for v.
3
Solve 4*v - 2*u - 30 = 0, -3*v = 2*u - 58 + 53 for v.
5
Solve u - 6 = 2*k - 4*k, 0 = -4*u - 8 for k.
4
Solve 0 = -3*v - 2*p + 40 - 20, 2*p - 8 = 0 for v.
4
Solve 4*v - 28 = 4*o, 8*o + 2*v - 20 = 12*o for o.
-3
Solve -3*c - 4*b = -10, -14*b = -2*c - 10*b for c.
2
Solve 2*f + 85*b = 81*b + 6, -2 = -2*b for f.
1
Solve -5*o = 3*n - 7, 4*n + o = 2*o + 17 for n.
4
Solve -3*u + 5*f + 20 = 0, 22*f + 15 = 4*u + 27*f for u.
5
Solve 5*f = 4*i - 2, -2*i - 3*i - 4 = -3*f for i.
-2
Solve 2*j = 4*q + 16, 0*j = 5*j - q + 5 for j.
-2
Solve -b = -2*k - 13, 0 = 4*k - 0*b - 5*b + 41 for k.
-4
Solve -25 = 5*g + r + 2, -g = -r + 3 for g.
-5
Solve -h = -2*d - 7, -12*d + 15*d = 4*h - 3 for d.
-5
Solve -k = 2*t - 6, 4*t - 18 = k - 0*k for t.
4
Solve -v - 5*h = v - 23, -5*h = -4*v - 29 for v.
-1
Solve b - 5*w - 12 = 7, -2*w = 5*b - 14 for b.
4
Solve -23 = 4*n + 5*a - 10, 0 = 4*n + a - 7 for n.
3
Solve -6 = -2*k - 2*y - 0, k - 1 = -3*y for k.
4
Solve -2*g + v + 2 = -1, 2*v - 10 = -4*g for g.
2
Solve 3*u - 18 = -2*r, 0*r - 10 = 4*u - 3*r for u.
2
Solve -2*n + 11 = 4*m + n, 5*m + 5*n - 10 = 0 for m.
5
Solve -4*k = -4*w - 8, 5*w + 7 = 6*w - 4*k for w.
-5
Solve -5*w + 20 = 0, 7*s + 14 = 8*s + 4*w for s.
-2
Solve 0 = -3*b - 35*o + 36*o + 13, 5*b + o - 11 = 0 for b.
3
Solve -9*m + 7 = 4*y - 12*m, -y = m for y.
1
Solve -a = -4, -20*a - 22 = 2*r - 23*a for r.
-5
Solve 4*j = 16, 3*n = 3*j - 17 - 4 for n.
-3
Solve 11*y - 7*y + 2*q = 14, 4*q + 17 = y for y.
5
Solve 0 = 9*h - 11*h - 3*j + 26, 5*j - 18 = 3*h for h.
4
Solve 0*x - 15 = 3*x, 4*o - 4*x - 28 = 0 for o.
2
Solve 1 = -r + j, 3*r + 13*j - 11 = 9*j for r.
1
Solve -9 = -3*g - 3*o, -5*o + 21 = 6*g - 7*g for g.
-1
Solve 0 = 12*p - 9*p - 3*r, -4*r = 2*p - 30 for p.
5
Solve 83*a = 4*o + 88*a + 2, 2*o = -a + 2 for o.
2
Solve -c = -4*q - 4, 2 = -35*q + 33*q - 2*c for q.
-1
Solve 0 = 5*i - i + 2*f, -3*i + 4*f - 11 = 0 for i.
-1
Solve 4*z = 4*w + 8, -7*w = 4*z - 3*w - 24 for z.
4
Solve 2*b - 6 = -0*k + 3*k, 4*b - 12 = -2*k for b.
3
Solve 0 = -5*k - 3*g + 7, 2*g = -87 + 85 for k.
2
Solve 5*g + w = 2*w + 4, -2*w - 8 = -5*g for g.
0
Solve 3*v - 3*i = 18, 5*v + 5*i + 3 = v for v.
3
Solve -4*g + n = -2 - 13, 0 = 4*g - 4*n for g.
5
Solve -4*a - 5 = n + 7, 0 = 2*n + 5*a + 12 for n.
4
Solve -5*y = -10, 4*y - 7 - 1 = -4*g for g.
0
Solve -3*h + 2*o = -2*o + 16, -5*o + 20 = 4*h for h.
0
Solve 3*h + n = 4*h, 3*n = 2*h + 5 for h.
5
Solve -5*f = 6*l - 2*l + 8, -3*l - 6 = -f for f.
0
Solve -30*g + 34*g - 3*k + 10 = 0, 8 = 2*g + 5*k for g.
-1
Solve -2*w - 2*w + 3 = t, 3*t - 5*w - 9 = 0 for t.
3
Solve 3*a - 3*z = -a - 4, 3*a + 2*z = -3 for a.
-1
Solve 0 = -d + 2*x + 2, 0 = -x + 91 - 89 for d.
6
Solve 0*t = -2*l - 5*t - 5, -5*l - t = -22 for l.
5
Solve -3*g - 8 = z, -g + 5 = -2*z + 3 for g.
-2
Solve -2*g + 12 = 2*b, 4*b - 27 = 5*g - 10*g for b.
3
Solve 0 = -4*n + 5*j | {
"pile_set_name": "DM Mathematics"
} |
3)/(-1) + -3?
6
Let i(a) = a**3 - 4*a**2 - 11*a + 14. Let l be i(6). Suppose -3*p = -65 + l. What is the tens digit of p?
1
Let n(u) = u**3 - 2*u**3 - 6*u**2 + 8 + u + 0*u**3 - 2*u**2. Let r be n(-8). Suppose -4*p = 2*v - r*v + 6, -2*v + 5*p + 21 = 0. What is the units digit of v?
3
Let i be 325/45 + 4/(-18). Let t = 7 - i. Suppose z - 3*h = -t*h + 31, 2 = h. What is the tens digit of z?
3
Suppose -4*y - 12 = -0. What is the tens digit of (-5 - y - (-2 + -3)) + 52?
5
Let g be ((-15)/18 - -1) + 1/(-6). What is the units digit of -162*(7/14)/(g - 1)?
1
Suppose 3*p = -p + 12. Suppose -5 = -p*z - 101. Let d = 54 + z. What is the tens digit of d?
2
Suppose 5*g - 9373 = -3*k, -3*g + 1871 = -2*g - 3*k. What is the units digit of g?
4
Suppose -425 = -2*k - 3*q, -6*q - 235 = -k - 3*q. What is the tens digit of k?
2
Let o = 35 - 39. What is the tens digit of 2560/(-60)*6/o?
6
Suppose 6*j + 80 = j. Let l(p) = -p**3 - 16*p**2 - 6*p - 40. What is the units digit of l(j)?
6
Let x(m) = 3*m**2 - 4*m + 6. Let y be x(6). Let h = y + 88. What is the hundreds digit of h?
1
Suppose -2*t = 4*t - 1464. Suppose 0 = 2*c - 0*c - t. What is the hundreds digit of c?
1
Suppose -9*g + 1956 = -3*g. What is the tens digit of g?
2
Let a(w) = w**3 + 19*w**2 - 25*w - 8. Let k be a(-20). Suppose 0 = r - k - 25. What is the tens digit of r?
1
Suppose 5*b = -2*w + 1, 3*w + b = -0*b + 8. Suppose -141 = -3*q - 3*l, w*q - 5*l = -0*l + 125. What is the units digit of q?
5
Suppose -3*h + 4*z + 1 = 2*h, 3*z - 2 = h. What is the units digit of ((-496)/(-48))/(h/6)?
2
Suppose 24*k - 27*k + 1320 = 0. What is the hundreds digit of k?
4
Suppose 7 = 5*r - 13. Let x(n) = 2*n - 3. Let s be x(r). Suppose -3*z + 114 = -5*y, -4*y = -4*z + s*z - 55. What is the units digit of z?
3
Suppose -4*q = -4*a - 148, -2*a + 3*q = 19 + 59. Let p(v) = -v**3 + 5*v**2 - 2*v + 7. Let b be p(6). Let l = a - b. What is the units digit of l?
8
Let y(f) be the third derivative of 1/120*f**6 - 4*f**2 + 0 - 1/4*f**4 - 2/15*f**5 + 0*f - f**3. What is the tens digit of y(9)?
2
Let y be (1 + (-4)/3)*-12. Suppose -y*w + 6*w + 8 = 0. What is the units digit of (-46)/(-8) + (-1)/w?
6
Let t = 5085 + -3570. What is the hundreds digit of t?
5
Let q(r) = 2*r**2 - 2*r - 5. Let c(a) = a**2 + 4*a - 1. Let s be c(-3). Let n be q(s). What is the units digit of 4/(-14) + 360/n?
0
Let g(d) = -84*d**3 + 7*d**2 + 6*d - 2. What is the units digit of g(-2)?
6
Let c be 6/(-2*5/(-10)). Suppose 0 = 2*t + 2*t + 20. What is the tens digit of ((-63)/c)/(t/10)?
2
Let w(l) = l**3 + 12*l**2 + 2*l + 10. Let g be w(-11). Let k = g + -28. What is the units digit of k?
1
What is the tens digit of 5443/2 - 132/(-24)?
2
Let v(l) be the second derivative of -l**3/3 + l**2 + 4*l. Let p be v(0). Suppose -3*f = 4*u + 36 - 160, -p*f + 64 = 2*u. What is the units digit of u?
8
Suppose -5*h + 25 = -2*w, 3*h - 2*w - 34 = 3*w. Suppose 39 = -h*v + 150. What is the tens digit of 7 + -11 - -1*v?
3
Suppose -28*z + 8190 = -3514. What is the hundreds digit of z?
4
Let y(l) = l + l**2 + 12*l - 2*l + 0*l + 0*l - 19. Suppose -g - 34 = 4*h + 25, 0 = -h - 5*g - 29. What is the tens digit of y(h)?
2
Let u be 11/2 - (1 - (-4)/(-8)). Suppose 688 = u*j - 37. What is the tens digit of j?
4
Let k = 80 + -75. Suppose -4*o + 3*o + 105 = -5*d, -3*o + 335 = -k*d. What is the tens digit of o?
1
Let d(q) = 37*q - 4. What is the hundreds digit of d(9)?
3
Suppose -g + 5209 = 3*t + t, 4*t + 3*g = 5211. What is the units digit of t?
2
Let i = 31 + -23. Suppose i*r - 414 = 2*r. What is the tens digit of r?
6
Let r(v) = 3*v**3 - v**2 + 4*v - 3. Let a be r(1). Suppose 3*k + 4*h + 9 - 288 = 0, -a*k + h = -279. What is the tens digit of k?
9
Let p(n) be the first derivative of -38*n**2 - 5*n + 30. What is the tens digit of p(-1)?
7
Let o be (8/(-3))/(3/9). Let t be 2/o - (-153)/(-12). Let n = -10 - t. What is the units digit of n?
3
Suppose 0 = 5*v + 11*r - 15*r - 12943, -2*r + 7757 = 3*v. What is the units digit of v?
7
Suppose 165 = -5*c - 2*t, -2*c + 2*t - 62 = 4. Let g = c + 85. What is the tens digit of g?
5
Suppose 6*s = 12*s - 18. Suppose -s*x = -8*x + 100. What is the units digit of x?
0
Suppose -2*l + 51 = 157. Let g = l - -67. What is the tens digit of g?
1
Suppose 6438 = 2*o + 1736. What is the units digit of o?
1
Let m = -23 + 13. Let f be ((-7)/2)/((-5)/m). Let z(r) = r + 15. What is the units digit of z(f)?
8
Suppose 37 - 405 = -4*o. Suppose 0 = 7*c - 11*c + o. Suppose -g - 1 = -c. What is the tens digit of g?
2
Let d be (9/5)/(18/60 + 0). Suppose -d*p + 4*p = -16. What is the units digit of p?
8
Let z be -43 - 0 - (-5 - -1). Let v = z + 77. What is the tens digit of v?
3
What is the thousands digit of 0*10/(-110) + 1394?
1
Let r(b) = -b + 7. Let h be r(12). What is the units digit of -89*((-2)/h + 14/(-10))?
9
Let s be 16 - (2 + -2)/4. Suppose 2*m = -s + 110. What is the units digit of m?
7
Suppose -5*b + 2*j + 70 = -5, 0 = b + 2*j - 3. Suppose -b*u = -12*u - 4. Suppose m = -u*m + 260. What is the tens digit of m?
5
Suppose 20 = 4*y - 5*a, a = -2*y - 4*a - 20. Suppose 25*v - 23*v - 58 = y. What is the units digit of v?
9
Let f = 142 - -517. What is the tens digit of f?
5
Suppose 0 = -18*s + 6091 + 533. What is the hundreds digit of s?
3
Let w(i) = -i**3 + i**2 + 3*i. Let m be w(-3). Suppose 4*j = 5*y + 406, 2*j - 169 = -y + m. What is the tens digit of j?
9
Let z = 61 + -81. What is the tens digit of 16/z - 216/(-20)?
1
Suppose -5*w - 5 = -25. Suppose i + 71 + 47 = -3*f, -4*f - w*i - 168 = 0. What is the units digit of (f*(2 - 3))/2?
9
Let h = -546 - -580. What is the tens digit of h?
3
Let p = -973 + 1653. What is the tens digit of p?
8
Suppose -5*y - 5*v = -5, -6*v - 20 = -v. Suppose 6*p = y + 115. What is the tens digit of p?
2
Suppose 3*j = 2*s + 19, 0 = -7*s + 10*s + 6. Suppose 3*p + i = 145, j*i - 15 = 5. What is the tens digit of p?
4
Let x(c) = 90*c**2 + c + 1. Suppose 2*r - 3*m + 0 = -17, -4*r + 4*m - 24 = 0. What is the tens digit of x(r)?
9
Suppose -2*p + 103 = 5*y - 20, 4*p - 222 = -2*y. Let o = 180 - p. What is the hundreds digit of o?
1
Let l(n) be the second derivative of -n**3/3 + n**2/2 - 4*n. Let i be l(-1). Suppose 2*f - 20 = h, -i*h = -3*f - 0*h + 36. What is the units digit of f?
8
Let g(k) = 7*k**2 - 16*k - 10. What is the units digit of g(-9)?
1
Suppose -2*n = o - 543, 770 = 5*o + 2*n - 1945. What is the hundreds digit of o?
5
Let q = 2647 + -1722. What is the tens digit of q?
2
Let i(p) = 17*p + 49. Let z be i(11). Suppose 31*a - 35*a = -z. What is the units digit of a?
9
Let r = 6 + -4. Suppose 5*p = r*o + 126 + 374, -o - 495 = -5*p. What is the units digit of (p/21)/(2/6)?
4
Suppose 0 = 10*s - 3993 - 3407. What is the units digit of s?
0
Let y be (5 - -5*(-6)/15) + 380. Let m = y + -227. What is the tens digit of m?
5
Suppose -2*t = t - 12. Let n = 6 - t. Suppose -2*k - 5*x + 23 = -14, 0 = -k - n*x + 17. What is the tens digit of k?
1
Let n be 8/3*(-18)/(-12). Suppose p - 261 = -3*r, 0*p - n*p = -4*r + 364. What is the units digit of r?
8
Let d = -91 + 65. Let a = -94 - d. What is the units digit of (a/6)/(2/(-3))?
7
Let v(t) = -t**3 - t**2 - 2*t + 413. What is the hundreds digit of v(0)?
4
Let o(u) = u**2 - 8*u + 10. Suppose 3*q - 12 = 2*z + 3, 2*q = z + 7. What is the units digit of o(z)?
3
Let h be -6*((-6)/4 + 0). What is the tens digit of (84/16)/(h/48)?
2
Suppose -2*c = -4*c - 28. Let t be 0 + -1 - (-44)/4. Let v = t - c. What is the tens digit of v?
2
Suppose 0 = 34*f - 38*f + 4*m + 20088, -f = 2*m - 5025. What is the thousands digit of f?
5
Suppose 2*g + 4*o = 0, -5 = -g + 3*o - 0*o. What is the tens digit of ((-10)/5)/(g/(-236))?
3
Let s = 124 - 64. Let v = -38 - -41. Suppose 0 = v*d + s - 168. What is the tens digit of d?
3
What is the hundreds digit of 15/((-75)/106)*-5?
1
Suppose -14*d + 10986 = -6052. What is the hundreds digit of d?
2
Let k = 2307 - -2636. What is the thousands digit of k?
4
Let q = 5 - 0. What is the units digit of q?
5
Let i(t) = 2*t**2 - 3*t. Let r be i(2). Suppose 0*o + 2*o = -r. What is the tens digit of (-6)/(-3)*o + 24?
2
Let n(q) = 6*q**2 - 13*q - 123. What is the units digit of n(-15)?
2
Let q = -2 + -14. What is the tens digit of (52/q)/((-1)/(7*4))?
9
Suppose 0*j + 10 = 2*j. Suppose -2*i - j*f - 23 = 0, 23 = | {
"pile_set_name": "DM Mathematics"
} |
o - o) to r + w*o**2 + f*o and give w.
-116
Rearrange 16 - 505*p**2 - 3 + 501*p**2 to q*p**2 + a + r*p and give q.
-4
Rearrange 5*t**3 - 20*t**3 + 4*t + 8*t**3 + 9*t**3 + 35*t**2 to s*t**2 + u + v*t + c*t**3 and give c.
2
Express -453 + v**3 + 254 + 231 - 5*v**2 as q*v**3 + w*v + j + h*v**2 and give j.
32
Express -45*f - 64*f + 11*f + 2 - 2 as i + g*f and give g.
-98
Rearrange 48*o + 41*o - 6*o + 26*o to the form u + r*o and give r.
109
Express (6*p**2 - 2*p**2 - 9*p**2)*(0*p + 3*p - p) + 16*p + 6*p**3 - 16*p in the form i*p + t*p**3 + a*p**2 + z and give t.
-4
Express -34*o**2 - 38*o - 104*o + 40*o**2 as c + u*o**2 + z*o and give c.
0
Rearrange 934 - 124*f**2 + 70*f**2 + 55*f**2 to v*f + c + o*f**2 and give o.
1
Rearrange -326*j - 252*j + 105*j - 34*j to the form n + o*j and give o.
-507
Rearrange -6*g**2 - 567*g**2 + 20*g - 102*g**2 - 20*g to the form i + z*g + h*g**2 and give h.
-675
Rearrange (11 - 21 + 1 - 1 - 2 + 2 + (6 - 3 - 4)*(6 - 3 - 4))*(0*x - 3*x + x)*(2 - 2 - 1)*(-2*x + 0 + 0)*(4 - 12 - 11) to the form v*x**2 + u*x + d and give v.
-684
Express 32*q**2 - q - 77*q**2 + 49*q**2 + 1 in the form x + b*q**2 + h*q and give h.
-1
Express 592 + 16*o**2 - 201 - 198 - 2*o**3 - 207 as j + q*o + w*o**2 + l*o**3 and give w.
16
Express -3*j**2 + 5*j**2 + j**2 + (0 - 2 + 3 - 2*j)*(-3*j + j + 0*j) + 0*j**2 + 0*j**2 + j**2 as m + d*j**2 + c*j and give c.
-2
Express 4 + 341*q + 4*q**2 - 341*q - 60*q**3 + 69*q**3 in the form s*q**2 + c*q**3 + v*q + o and give s.
4
Rearrange 529*t + 527*t - 1054*t - 9 to r*t + q and give r.
2
Express -o + 2*o + 5278*o**2 - o - 3838*o**2 as z*o + x*o**2 + w and give x.
1440
Rearrange 9*q**4 + 4*q**4 - 3*q**4 + (2 - 2 - 3*q)*(-2*q**3 + q**3 + 5*q**3) to the form z*q**4 + h*q**2 + u*q + b*q**3 + i and give z.
-2
Rearrange 15*r**3 - 12*r + 2*r**2 + 15*r - 163*r**3 - 2*r to g*r**3 + u*r + d*r**2 + o and give g.
-148
Rearrange 730*n + 9 + 7 - 22 + 8 to w + g*n and give g.
730
Express -t + 40*t**3 + 47*t**3 + t - 4*t**2 - 121*t**3 in the form m*t**2 + n*t + l + v*t**3 and give m.
-4
Express 50*a**3 - 105*a**3 + 6*a**3 + (2*a + 2 - 2)*(-7*a**2 - 1 + 1) as i*a**2 + n + j*a + o*a**3 and give o.
-63
Express (n - 2*n - n)*(-3 - 2 + 3) + (12 - 28 - 28)*(-n - 2 + 2) as b + q*n and give q.
48
Rearrange -56*l**4 + 167*l**4 - 2 + 2*l + 24*l**4 to j + n*l**4 + q*l**2 + k*l**3 + u*l and give n.
135
Express -11*k - 19*k + 13*k + (0 + 4 - 5)*(-3*k + 3*k + 3*k) as t*k + x and give x.
0
Rearrange (0 + 6*q + 0)*(-286 + 96 + 5*q + 92 + 102) to the form k*q + o + g*q**2 and give k.
24
Rearrange 76 + 80 - 8 + 73 + r**2 - 36 to the form f + q*r**2 + p*r and give q.
1
Rearrange 71*m + m**2 - 3*m**2 + 11*m + 0*m**2 - 2 - 2*m**3 to the form y + f*m**2 + i*m + d*m**3 and give f.
-2
Rearrange 15 - 24*c**2 + 8*c**2 - 15 to the form p*c**2 + x + m*c and give p.
-16
Rearrange -46*w - 17*w**3 - 42*w - 2 + 87*w to h*w**3 + m*w + u + s*w**2 and give m.
-1
Express (-39 - 47 + 9)*((-2 + 1 + 3)*(2*s - 5*s + s) + 2*s + 2*s - 5*s) in the form f + b*s and give b.
385
Rearrange -3*x**4 + 3*x**3 - 187*x + 186*x + 23*x**2 - 2 - 14*x**2 to d*x**2 + h*x**4 + f*x**3 + j*x + b and give h.
-3
Express -1 - 46*l + 46*l**2 + 42*l**2 + 44*l**2 - 130*l**2 - 1 in the form i*l**2 + n*l + t and give n.
-46
Rearrange 3300*w - 43 + 170 - 3298*w to n + z*w and give z.
2
Rearrange 513*f + 486*f - f**2 - 998*f - 376 + (f + 0 + 0)*(3*f - 4*f + 0*f) to the form j + g*f**2 + w*f and give j.
-376
Express 52*z**2 + 10*z - 16*z**2 + 0*z**4 - 37*z**2 + 0 - 2 + z**4 as c*z**3 + j*z**2 + w*z + y*z**4 + m and give j.
-1
Rearrange (0*b**2 - 6*b**2 + 2*b**2)*(-349*b**2 + 538*b**2 - 325*b**2) to x*b**3 + p*b**2 + j*b**4 + o + c*b and give p.
0
Rearrange -13*h + 13*h + 12*h**3 + 5*h**3 + 2 to the form w*h**2 + t*h**3 + d + r*h and give d.
2
Rearrange 86*u**2 + 0*u + 4*u - 107*u**2 + 89*u**2 to the form h*u + b + a*u**2 and give h.
4
Rearrange -121*f**3 - 3*f**4 - 113*f**3 + 350*f**3 - 5*f**2 + 4*f - 121*f**3 - 2*f to z*f**2 + a + r*f**4 + s*f**3 + h*f and give r.
-3
Rearrange 3 - 3*z**3 + 2*z**4 - z**4 - z + z**3 - z to h*z**3 + s + f*z**2 + u*z**4 + p*z and give h.
-2
Rearrange (-2 + 24 + 7)*(18 - 6*x - 18) to the form g*x + s and give g.
-174
Rearrange (0 - 1 + 21)*(41*s - 7*s**2 + 1 - 41*s) to z + u*s**2 + h*s and give u.
-140
Express -21*u - 186 + 94 + 2*u + 93 as o*u + a and give a.
1
Express (-3*l**2 + 19*l**2 + 2*l**2)*((3 - 4 + 2)*(-2 + 2 + 2*l) + l + 2*l - 4*l)*(12 - 6 + 3) in the form x*l + n + i*l**2 + w*l**3 and give i.
0
Rearrange -7 + 4*n**4 + 7 + (-n**3 - 3*n**3 + 3*n**3)*(-3*n + 0 + 0) - n**4 - 3*n**4 + 0*n**4 to the form r*n**4 + f*n + d*n**2 + z + h*n**3 and give d.
0
Express (0*a + 2*a + 2*a)*(a**2 - a**2 + a**3 + (-4*a**2 - 3 + 3)*(38 - a - 11*a - 35)) in the form k*a**2 + t*a**4 + b*a**3 + i*a + l and give b.
-48
Express -7 + 27*z - 27*z + 0*z - 5*z**2 as w*z + n*z**2 + q and give w.
0
Express (8*d**2 - 5*d**2 - 2*d**2)*(d**2 + 3*d**2 - 2*d**2) + 5 - 5 + 4*d**4 as p*d**4 + x*d**2 + v*d**3 + m + t*d and give p.
6
Express -388*z**4 + 0 + 389*z**4 + z - 4*z**3 + 5 - 4 in the form l*z**2 + s*z + x*z**4 + o*z**3 + f and give x.
1
Express -102*p + 533 - 533 as b*p + k and give k.
0
Express 40*j + j - 3928 + 3949 in the form n + b*j and give b.
41
Express -y**3 - 49*y**4 - 6*y**2 + 101*y**4 - 2*y - 51*y**4 + 2*y**3 as w*y**4 + m*y**3 + t + f*y**2 + j*y and give j.
-2
Express 0*h**4 + 0*h**4 + 10*h**4 + 60*h - 60*h + 8*h**4 + (0 - 1 + 2)*(-4*h**4 - h**4 + 3*h**4) in the form y*h**3 + p + l*h**4 + u*h + m*h**2 and give l.
16
Express 0*u**2 - 3*u**3 - 3*u**4 - u**2 + 0 + 2 - 292*u + 289*u + 0*u**2 in the form i*u**2 + v + y*u**3 + f*u**4 + d*u and give y.
-3
Express (-p**3 + 0*p**3 + 0*p**3)*(-878 + 169 - 28 - 670 - 244) in the form y*p**3 + q + d*p**2 + t*p and give y.
1651
Express 376*t + 103*t + 155*t - 71*t - 68*t + (-2*t + 4*t - 3*t)*(-5 + 0 + 2) + 3*t - t - t in the form s + h*t and give h.
499
Rearrange 101 - 9*o - 7*o - 15*o + 42*o - 9*o to i*o + n and give n.
101
Rearrange 26*q**3 - 5*q - 67*q**3 + 2*q + 4*q - 29*q**3 + 3*q**2 to the form t*q**2 + o*q + w*q**3 + m and give o.
1
Rearrange 0*f**4 + 22*f**4 + 26*f**3 - 28*f**3 + 2 to l*f + a*f**4 + k*f**2 + m + n*f**3 and give a.
22
Express 205*k**2 + 0*k**2 - 34*k**2 as r + v*k**2 + u*k and give v.
171
Rearrange (3 + t - 3)*(-1 + 1 - t)*(1 + 0 + 0)*(6 - 5 + 0)*(3 - 5 + 1) to g + r*t**2 + h*t and give r.
1
Rearrange -62646*h**2 - 8 + 62596*h**2 - h**4 - h**4 to the form g + q*h**2 + i*h**3 + u*h + y*h**4 and give q.
-50
Rearrange ((2*g - 5*g + 4*g)*(-5*g + 5*g - g) - 3*g - 2*g**2 + 3*g + 139*g - 139*g + 19*g**2)*(1 + 0 - 2)*(1 + 10 - 5) to y*g**2 + b + j*g and give y.
-96
Express (-96 + 79*c - 169*c + 87*c)*(5 + 0 - 4)*(2 + 3 - 6) as m + t*c and give m.
96
Express (b - 1 + 1)*(-17 - 78 + 37)*(-2*b**2 + 4 - 4) as x + m*b**3 + f*b**2 + j*b and give m.
116
Express (-1 + 1 + 2*d**2)*(-206*d - 106*d + 65*d) as o*d + r + v*d**2 + u*d**3 and give r.
0
Rearrange -99*s**2 - 71*s + 4*s**4 - 15*s + 100*s**2 to the form h*s**2 + f*s**4 + i*s + l + v*s**3 and give v.
0
Rearrange 273*q**2 + 0*q - 24*q + 24*q to w + x*q + o*q**2 and give o.
273
Express (-11*r**2 + 31*r**2 - 3*r**2)*(5*r + 24*r + 0*r + 1 - 1 - r + (-2 + 3*r + 2)*(2 - 6 + 2)) in the form g + o*r**3 + a*r + c*r**2 and give o.
374
Express -359*z - 169*z - 237*z - 4*z as o*z + f and give o.
-769
Rearrange -2 + 4*a**2 + 2 + 8*a**2 - 5*a**2 - 10*a**2 + (3 - 5 + 0)*(-3*a**2 + a**2 - a**2) + 7*a**2 + 6*a**2 - 3*a**2 to the form q + w*a + g*a**2 and give w.
0
Express 129*a**3 - 2*a**4 - 254*a**3 - 3*a**2 - 14*a**4 + 124*a**3 - 2 in the form j*a**4 + d*a + n*a**2 + o + r*a**3 and give o.
-2
Express (0 - 1 + 5)*(-18 - 9 + 5)*(0 - b + 0) as y + z*b and give z.
88
Express (0 + 1 - 19*q + 26*q)*(-29 + 29 - 4*q)*(-4 + 4 + 1 + (1 + 0 + 1)*(-2 + 5 - 1) + 2 - 3 + 0) in the form i*q + s*q**2 + j and give s.
-112
Rearrange 5*v**2 - 25 + 2*v - 3*v**2 - 4*v - 18 to the form r + w*v + s*v**2 and give r.
-43
Express -31*k - 37*k - 36*k - 2*k**2 + 118*k - 6 in the form r*k + w + x*k**2 and give r.
14
Rearrange -8 + 25*n - 22*n - 42 to the form l*n + u and give l.
3
Express (z - 12 - 6 - 3*z)*(8*z - z - 3*z)*(-7*z - 37 + 37) in the form l*z**2 + k + q*z + b*z**3 and give l.
504
Express (0 - 2*m + 0) | {
"pile_set_name": "DM Mathematics"
} |
v = -2*o - 38, 3*v - 272 = 4*o - 238 for o.
-4
Solve 0 = 13*b + 52, 2*b + 13 - 13 = -2*c for c.
4
Solve -2*w = -4*o + 3*w - 4, -4 = w for o.
-6
Solve -2*r + 378 = -4*q + 342, -5*q - 17 = r for q.
-5
Solve 0 = q + 6, 4*k - 4*q + 2 = 26 for k.
0
Solve -40 = 4*b, 16*g + 44 = 17*g - 4*b for g.
4
Solve 19*d - 75*m + 78*m - 113 = 0, -3*m = -m - 12 for d.
5
Solve 6*n = 68*b - 63*b - 50, 2*n + 14 = b for n.
-5
Solve 3*r + 24 = 3*x, -78*r = -74*r + 12 for x.
5
Solve -4*i - 8 = -46*d + 48*d, 5*i = 5*d + 5 for i.
-1
Solve -3*b + 2*t + 7 - 3 = 0, -4*b + 5*t + 10 = 0 for b.
0
Solve 0 = -1100*f + 1095*f + 3*r + 14, -12 = -3*f + 3*r for f.
1
Solve 0 = -4*t - 5*a + 11, 2*a - 6*a = -12 for t.
-1
Solve -4*v - 2*r - 16 = 0, -4*r = 4637*v - 4641*v + 8 for v.
-2
Solve 0 = 4*v - 4*g + 24, 0 = -4*v - 3*g + 6 - 30 for v.
-6
Solve 0 = -5*q - r - 17, -4*q - 14 = 4*r + 38 for q.
-1
Solve 4 = -15*i + 13*i + 3*r, 4*i + 4*r + 28 = 0 for i.
-5
Solve 36 = -2*s - 190*j + 195*j, s + 2*j = 9 for s.
-3
Solve 320*n - 27 = 318*n - 21*h, -12 = -5*n + 3*h for n.
3
Solve j + k + 434 = 440, 2*j + 33 = 3*k for j.
-3
Solve 0 = 4*g - 9*r - 8 - 23, g + r + 2 = 0 for g.
1
Solve 3*w - 5*x - 12 = -3, 2*w + 11*x = 6 for w.
3
Solve -9 = 3*k + 4*r, 522*k - 517*k + 4*r + 15 = 0 for k.
-3
Solve 5*f + 5*n - 15 = 0, 788*f - 790*f + 5*n - 15 = 0 for f.
0
Solve -2020 = 2*m - d - 2010, -d = -5*m - 19 for m.
-3
Solve 3*g - 4 = o, 22*g - 2*o = 24*g - 16 for g.
3
Solve -5*l - m = 2, 0 = 5*l + 201*m - 198*m - 4 for l.
-1
Solve -14 = 4*b + 5*j, 18*b + 5*j + 11 = 17*b for b.
-1
Solve -92*o - 18 = -3*z - 96*o, -o + 19 = 8*z for z.
2
Solve -4*q + 56 = -3*m, -3*q + 445 = -4*m + 410 for q.
17
Solve n - 32670 + 32679 = -2*y, 2*n + 10 = 4*y for n.
-7
Solve 2*m = -3*l + 7, -10*l + 12*l + m - 6 = 0 for l.
5
Solve -40*w - 43*w - 35 = -82*w + 2*m, -7*m = 140 for w.
5
Solve 3*h - 5*a = 15, 4*h + 123*a - 20 = 119*a for h.
5
Solve 21*h = 22*h - 3, 4*b = 3*h - 17 for b.
-2
Solve -3*s = -o + 11, 8 = -18*o + 16*o for s.
-5
Solve -495 = -4*y - 5*u - 511, 4 = -y + u for y.
-4
Solve 6*m - 12*l + 22 = -m + 3*m - 11*l, 0 = 5*l - 10 for m.
-5
Solve -4*s = -2*x + 10, 80 = 3*x + 3*s + 65 for x.
5
Solve 5*a - z = -97, -23216*a + 4*z = -23217*a - 32 for a.
-20
Solve -3*j + 5*s - 29 = 0, -93 + 116 = -j + 5*s for j.
-3
Solve j - 25 = -16*d + 20*d, 0 = 3*d + 18 for j.
1
Solve -r - 424 = -3*z - 421, 5*z = -5*r + 5 for z.
1
Solve 4257*n = -5*m + 4254*n - 29, 3*n = 5*m + 11 for m.
-4
Solve 800*z + 2*v - 38 = 795*z, -2*z + v + 8 = 0 for z.
6
Solve -j - 6 = r, -2*j - 14 = 73*r - 72*r for j.
-8
Solve 0 = 780*x - 785*x - 5*f - 20, 4*f = 4*x + 8 for x.
-3
Solve -3*p + 5*i - 12 = 0, -32 = 112*p - 104*p - 2*i for p.
-4
Solve -3*v = -18, 12*s - v + 27 = 5*s for s.
-3
Solve -p - w + 0*w + 1 = -0*p - 2*p, 2*w = 0 for p.
-1
Solve -k = -2*q, 33 = q - 4*k + 26 for q.
-1
Solve 0 = -5*j + v - 12, 169*j - 178*j - v = 2 for j.
-1
Solve 0 = -2*c + 2*l - 10, 1244*c - 1248*c + 2*l - 12 = 0 for c.
-1
Solve 5*v - 2*x = 3*v, 4*v - v - 5*x + 10 = 0 for v.
5
Solve 1155*l - 4 = y + 1156*l, 0 = 4*y - 3*l - 19 for y.
1
Solve 3*j = 3*l, j = -0*j + 89 - 84 for l.
5
Solve -45 = -10*d + 6*d + a, 0 = 4*d + 10*a - 34 for d.
11
Solve 0 = n - 2*d + 4, 0 = 14*n + 5*d + 9397 - 9341 for n.
-4
Solve 2*t = -4*m + 16, 2*t + 14 = 182*m - 180*m for t.
-2
Solve -2*h + v = -11, -59*v = -5*h - 57*v + 27 for h.
5
Solve 3*u + 161 - 176 = 3*j, -2*j = u + 10 for u.
0
Solve 3*w - 32 = 5*z, 4*z - w + 185 = 165 for z.
-4
Solve -m - 5*v - 49 = -28, 2*m - 2*v = 6 for m.
-1
Solve g = 3*k + 3, 0 = 313*k - 312*k + g + 5 for k.
-2
Solve n + 27 - 25 = 2*a, -5*n = -5*a + 5 for a.
1
Solve 67 = -y - 35*h + 138, 4*y - 14 = -5*h for y.
1
Solve -2*l - 21 = 3*x, 441 = -2*x - 4*l + 395 for x.
1
Solve 5*i + 47 = -2*f + 72, -4*f + 5*i - 25 = 0 for f.
0
Solve 54*w - 49*w - 15 = -z, 3*w - 2 = -2*z for w.
4
Solve -74 = 5*c + 72*h - 69*h, 3*c - 78 = 5*h for c.
-4
Solve 0 = 391*w - 395*w - 8*h - 16, 3*w + 2*h + 4 = 0 for w.
0
Solve -4*t - h - 9 = 0, -t + 985*h = 988*h + 71 for t.
4
Solve -152 = 5*a - z, 5812*a - 5*z = 5810*a - 70 for a.
-30
Solve -c - 83 = 3*g - 85, 2*g - 20 = 2*c for g.
3
Solve -5*i + 29 = p, -4*i + 13 = 40*p - 29*p for i.
6
Solve -3*v = 5*c + 18, -2*v - 533 = c - 528 for c.
-3
Solve -4*d + 9*n + 4647 = 4625, -d - 7 = 4*n for d.
1
Solve -5*l = -5*i - 10, -5*i - 222*l + 26 = -221*l for i.
4
Solve 4*v - 8 = 4*i, 0 = -7*v + 10*v + 5*i - 38 for v.
6
Solve -31*n + 29*n = 6*z - 4*n + 4, -3*z - 2*n - 14 = 0 for z.
-2
Solve -4*o = u + 12, -36 = -u + 4*u + 11*o for u.
-12
Solve -5*r + 1 = 2*m, -4*m + 142*r - 138*r + 44 = 0 for m.
8
Solve 0 = 4*c + 20, -2*h = -h - 2*c - 11 for h.
1
Solve -3*q + 7*q + 8 = 0, 3*d = 2*q - 8 for d.
-4
Solve -3*c = o + 9, -3*c - 24 = 120*o - 124*o for c.
-4
Solve 8381*m - 8384*m = 5*x - 22, 2*x + 2*m = 12 for x.
2
Solve 3*z + x - 7 = 0, -2*x + 2101 = -5*z + 2076 for z.
-1
Solve 0 = -5*y + 8*g - 52, -124*y + 121*y - 16 = -g for y.
-4
Solve 22*w - 2*j = 19*w - 7, 4*j + 16 = 0 for w.
-5
Solve -6*u - 3*a + 66 = 0, 4*a + 261 = u + 259 for u.
10
Solve 0 = 5*p + 1384*s - 1379*s - 20, -5*p - 35 = -6*s for p.
-1
Solve -4*b + 6 = i, -12 = i - 23368*b + 23363*b for i.
-2
Solve -35*d + 4*r + 34 = -40*d, r + 6 = 0 for d.
-2
Solve -4 = -2*p, -13*p + 59 - 18 = -5*h - 0*p for h.
-3
Solve 2 + 0 = f + 7*n, 13*n - 12*n = -5*f + 10 for f.
2
Solve 63*u - 18 = r + 60*u, 5*u - 20 = 0 for r.
-6
Solve -5*r - y = 5, 121 = -6*r + 5*y + 146 for r.
0
Solve -5*q + 26 - 8 = -2*y, -5*y - 28 = -4*q for y.
-4
Solve -2*t + 270*g - 267*g + 15 = 0, 46*t - 3*g - 147 = 0 for t.
3
Solve -29*o + 7*o - 5*j + 94 = -6*o, 3*j = -2*o + 26 for o.
4
Solve 0*k + 7*k - 3*n = 8*k - 2*n, 0 = -k - 2*n + 4 for k.
-4
Solve 21*m = 24*m, -4*m - 22 = 5*l - 2 for l.
-4
Solve 5*f = -5*r - 20, f + 758 = 4*r + 749 for f.
-5
Solve -3*j - 12 = -116*q + 117*q, -5*j - q - 22 = 0 for j.
-5
Solve -20226*u + 13 = -3*s - 20224*u, 4*s = -4*u + 16 for s.
-1
Solve -122504*r + 122507*r = 3*v - 18, -2*r = 5*v - 58 for v.
10
Solve -3*w = -2*t - 1, 4*w + 56 + 4 = -5*t for t.
-8
Solve 9*b + 3*x = -15 - 27, -5*x = -20 for b.
-6
Solve -4*c - 2*m = -209 + 231, 2*c + 2*m + 18 = 0 for c.
-2
Solve 0 = 6*t - 5*o + 24, 98*t - 51*t - 38*o = 43*t - 16 for t.
-4
Solve -7*n = 4*u + 7 + 8, 4*n + 40 = 4*u for n.
-5
Solve 0 = -4*v + 4*y - 28, -255*v - 5*y = -252*v + 53 for v.
-11
Solve -2*j - 5 = -42*b + 39*b, -20 = -4*j - 4*b for j.
2
Solve -45*c + 44*c - 20 = 5*z, 5 = 5*c + 4*z for c.
5
Solve 342*a = 345*a + 3*x - 3, 3*a = 3*x + 15 for a.
3
Solve 3*c + 2*s + 805 = 792, 4*s + 14 = -2*c for c.
-3
Solve 4*b + 9 = -o, -16 = 3*o - 71*b + 72*b for o.
-5
Solve 2*i + 8 = u, 11*u - 8*u - i + 1 = 0 for u.
-2
Solve 262*p + n - 22 = 267*p, -3*p - 18 = -3*n for p.
-4
Solve -69*x + f = -72*x + 13, -5*x = 3*f - 19 for x.
5
Solve -82*i = -81*i + 4*j - 37, -j = -8 for i.
5
Solve -5*j = -4*h + 67, 5*h = 5*j + 43 + 22 for h.
-2
Solve -2*m + 4*a = 18 - 16, 2 = -2*m + 5*a for m.
-1
Solve 20 = 4*x, -1376*l + 1382*l = 2*x + 152 for l.
27
Solve 2*m - 3*a - 22 = -52, -5*m + 5*a = 45 for m.
3
Solve 4*t - 5*k = 29, 3*t = 11*k - 15*k - 17 for t.
1
Solve -4*v + 2*p + 6 = 28, -p - 3*p + 12 = 0 for v.
-4
Solve 4*q = 330*a - 329*a + 31, 3*q = 4*a + 7 for a.
5
Solve 41*s + 6 = 46*s + 4*y, -3*s + y - 10 = 0 for s.
-2
Solve -47*a = -42*a + 3*d, -4*d + 32 = -4*a for a.
-3
Solve 4*f - 14 = -5*q - 46, f - 2*q - 5 = 0 for f.
-3
Solve 0 = -3*j - 9, 94*d = 89*d - 4*j - 32 for d.
-4
Solve 0 = 4*r - 12 - 4, -33*d - 12*r + 9*r - 87 = 0 for d.
-3
Solve 2 = -243*y + 250*y - 2*x, -4*x = 4*y + 40 for y.
-2
Solve -17*f + 3*q - 10 = -16*f, -f = q - 2 for f.
-1
Solve 0*j - 11*b - 120 = 3*j, 2*b + 16 = -2*j for j.
4
Solve -8*b - 2*u - 11355 + 11299 = 0, -3*b - 2*u = 26 for b.
-6
Solve -3*a - 1 = 5*u, -296*u = -299*u - 3*a + 5 - 2 for u.
-2
Solve -215*c - 14 = 3*z - 214*c - 4, -4*c - 20 = 2*z for z.
-2
Solve -5*o - 2*r + 16 = 0, 8*o - 20*o - r + 27 = 0 for o.
2
Solve 79*v - 74*v = 15, -2 = 5*k + v for k.
-1
Solve -y + 1 = -5*b, 0 = -2*y - 2158*b + 2162*b + 2 for y.
1
Solve 717*h - 6 = -3*f + 722*h, 4*f + h = -15 for f.
-3
Solve -79*y - 5*z + 24 = -80*y, 4*z - 78 = 5*y for y.
-14
Solve 69*v = -5*x + 74*v - 40, -2*x = 3*v - 24 for x.
0
Solve 0 = -14*j + 10*j - 2*u + 18 + 6, 4*j - 4*u = 0 for j.
4
Solve 3*p - 1 = n, | {
"pile_set_name": "DM Mathematics"
} |
300023233
What is -1432228 (base 9) in base 13?
-218159
Convert -154235243 (base 7) to base 5.
-10130131043
Convert -56757 (base 9) to base 2.
-1001001110100110
What is -321425 (base 6) in base 12?
-13275
Convert 1e625e (base 16) to base 14.
39b970
What is -1100212 (base 7) in base 9?
-224524
Convert -1110000110111010101 (base 2) to base 13.
-132560
Convert -10101111000111101011 (base 2) to base 15.
-e27e6
What is -58258 (base 13) in base 8?
-472030
17bdd2 (base 14) to base 8
3147744
Convert -1982b10 (base 13) to base 7.
-131266061
What is -b8020 (base 14) in base 2?
-1101100100010001100
What is 232246 (base 11) in base 6?
11524123
What is -12434230 (base 5) in base 13?
-44779
What is 131131 (base 13) in base 7?
3622210
-105652 (base 11) to base 8
-511051
What is 38411 (base 9) in base 14?
95c5
Convert -134215 (base 12) to base 15.
-64472
263223 (base 7) to base 5
3033124
Convert -1222032311 (base 4) to base 14.
-b4805
What is -1640120 (base 7) in base 4?
-313230332
What is 15574 (base 13) in base 4?
21320212
-227453 (base 10) to base 13
-7c6b5
What is -13154534 (base 6) in base 15?
-88e51
Convert -163540 (base 7) to base 8.
-77403
20202543 (base 6) to base 8
2145077
Convert -20021301003 (base 4) to base 10.
-2137155
What is -4222443 (base 6) in base 8?
-621073
What is -2355106 (base 10) in base 14?
-4543bc
What is 213551155 (base 6) in base 15?
508408
1114111 (base 5) to base 2
100110111000010
102112220102 (base 3) to base 11
145918
-1010111101010101100 (base 2) to base 11
-225870
What is bb4b (base 13) in base 3?
1022210021
1042142321 (base 5) to base 8
10621564
Convert -121853 (base 15) to base 16.
-d3656
What is -14669654 (base 10) in base 4?
-313331131112
-31020213 (base 5) to base 9
-422651
What is 11131322022 (base 4) in base 14?
294454
-364518 (base 14) to base 12
-756062
1b2365 (base 12) to base 13
13ab6a
What is -14405604 (base 10) in base 9?
-30085686
What is -491084 (base 12) in base 8?
-4410044
Convert -11101000110011101011110 (base 2) to base 13.
-17713b4
What is 3121321 (base 5) in base 10?
51461
Convert 1271b9 (base 12) to base 11.
197459
What is -200140242 (base 5) in base 2?
-11000000001000000011
Convert 5c1b13 (base 15) to base 9.
8261640
Convert 3443401 (base 6) to base 3.
22222212101
What is -47156 (base 9) in base 12?
-16273
Convert 761a19 (base 16) to base 11.
440713a
What is 6cca91 (base 13) in base 9?
4800622
Convert -1002233101 (base 4) to base 2.
-1000010101111010001
What is 55052 (base 9) in base 11?
2546a
5305 (base 10) to base 8
12271
-122343044 (base 5) to base 3
-1002222212122
What is -360241 (base 7) in base 9?
-108081
Convert -67606244 (base 8) to base 4.
-313300302210
What is -5246898 (base 10) in base 6?
-304243110
Convert -101010111000011110111100 (base 2) to base 13.
-2437925
What is 1c5900 (base 13) in base 12?
2b0543
-310132320 (base 4) to base 3
-101220212210
-2122201221201 (base 3) to base 10
-1412038
-3414617 (base 8) to base 14
-1a0a75
What is -15218 (base 13) in base 3?
-2000201222
What is 13045730 (base 9) in base 14?
bcb2a3
22751087 (base 9) to base 4
222100003000
Convert 774cc (base 13) to base 8.
646126
What is -2606255 (base 7) in base 16?
-529a0
-6226810 (base 9) to base 12
-1144169
20128 (base 16) to base 7
1054666
What is -12100233 (base 4) in base 12?
-12a13
Convert -132000220 (base 6) to base 2.
-1001111101111001010100
-13530583 (base 10) to base 5
-11430434313
596899 (base 11) to base 15
13a4c6
-110704 (base 9) to base 13
-2417b
254252212 (base 7) to base 16
f6a5e5
Convert 1022210022200 (base 3) to base 16.
abfc0
452402312 (base 6) to base 3
120111210102022
Convert -1d4607 (base 15) to base 12.
-590ab1
1444421 (base 6) to base 5
10141330
What is -3255583 (base 11) in base 5?
-2430423331
Convert 100011111111000001110 (base 2) to base 6.
41135010
Convert -102135251 (base 6) to base 13.
-4a6a94
178517 (base 11) to base 12
113049
Convert 170811 (base 13) to base 5.
121310321
What is 3014286 (base 12) in base 9?
17815413
Convert -101312330032 (base 4) to base 10.
-4681486
What is -2a905 (base 15) in base 5?
-13341110
Convert 130131320 (base 5) to base 4.
2121313002
180332 (base 9) to base 11
77005
Convert 2101102222120 (base 3) to base 5.
311042243
-426054 (base 7) to base 2
-10010000110001111
What is -203310 (base 7) in base 4?
-20133231
Convert 41443550 (base 6) to base 10.
1203546
-15225224 (base 6) to base 13
-158509
Convert -d9d2c (base 16) to base 12.
-3703a4
What is -1006415 (base 7) in base 9?
-202438
367372 (base 8) to base 3
20102211010
24480 (base 9) to base 4
10000302
Convert -220001210212 (base 3) to base 4.
-1303221233
What is -64992 (base 14) in base 16?
-3b6a4
1360 (base 11) to base 12
1028
20032030332 (base 4) to base 2
1000001110001100111110
What is 42742 (base 10) in base 16?
a6f6
-2320056 (base 8) to base 5
-130141310
-48481 (base 9) to base 15
-994d
Convert 315362 (base 11) to base 9.
848507
Convert -442271 (base 8) to base 10.
-148665
Convert 1425260 (base 8) to base 7.
3302156
Convert 862e5d (base 16) to base 4.
201202321131
What is 232253 (base 6) in base 2?
100111000001001
14c00c (base 13) to base 3
222000012202
What is 294abc (base 13) in base 16?
f6a5c
4132070 (base 8) to base 5
240012322
20677073 (base 8) to base 7
52411464
Convert -10122312302 (base 4) to base 7.
-12563531
What is 2803013 (base 12) in base 16?
79944f
What is 35cc8 (base 14) in base 6?
2452440
-3937 (base 16) to base 13
-6889
What is -2a8a61 (base 12) in base 9?
-1317131
-2763a (base 16) to base 14
-42b22
What is 153b243 (base 13) in base 4?
121322210231
What is 4b092 (base 12) in base 9?
165002
What is 204b106 (base 12) in base 9?
12377046
-e9ea (base 16) to base 8
-164752
Convert 43f62 (base 16) to base 14.
73638
Convert 131224413 (base 5) to base 11.
403448
213200232 (base 5) to base 6
31320503
26896 (base 10) to base 13
c31c
204205 (base 7) to base 2
1000100100010001
Convert -231575 (base 8) to base 3.
-10222222110
-dca10 (base 16) to base 9
-1626566
3031121110 (base 4) to base 14
17c84c
ee2eb (base 15) to base 13
206546
Convert 1011210 (base 4) to base 14.
18a0
250115 (base 6) to base 10
22079
What is 22111121010 (base 3) in base 2?
101000110111010000
What is -2121122220001 (base 3) in base 6?
-45451044
-1310323312 (base 4) to base 16
-74ef6
What is -1149aa5 (base 12) in base 9?
-6242528
-32300231 (base 5) to base 7
-2223641
Convert 8540 (base 9) to base 12.
3769
What is 1000100110111100011110101 (base 2) in base 3?
1020222012120011
What is -1021212202002 (base 4) in base 14?
-27c3670
What is -3135215 (base 9) in base 13?
-469346
Convert 33634a (base 11) to base 6.
15251023
a31654 (base 11) to base 3
10010011100200
Convert 86e92 (base 16) to base 14.
105550
-230112311012 (base 4) to base 10
-11627846
Convert 24525536 (base 7) to base 3.
11011012111112
What is -110121221101 (base 3) in base 4?
-330223201
-a9183 (base 16) to base 12
-294997
What is 70c841 (base 15) in base 12?
196482a
Convert -348556 (base 10) to base 2.
-1010101000110001100
b646 (base 13) to base 7
133404
Convert -100110101100110111 (base 2) to base 3.
-22001110002
What is a3caa (base 13) in base 9?
487716
44663450 (base 7) to base 11
2211073
-1502032 (base 6) to base 16
-14fe4
Convert -12122022110211 (base 3) to base 9.
-5568424
What is 1010110000111000000 (base 2) in base 16?
561c0
What is -133307 (base 9) in base 13?
-2ac3a
What is -1110100111100111 (base 2) in base 4?
-32213213
What is 1578c (base 14) in base 2?
1101000110000000
Convert 1211103 (base 8) to base 16.
51243
What is 52132 (base 13) in base 16?
23fd1
Convert 1b844 (base 16) to base 10.
112708
Convert -2f1e68 (base 16) to base 10.
-3087976
Convert -615053 (base 12) to base 2.
-101110011101011111111
511521 (base 8) to base 3
22120112022
Convert 10001110101111110110 (base 2) to base 3.
1002201001100
What is -127a8 (base 11) in base 15?
-562d
-b28954 (base 12) to base 8
-12520520
What is 22002210211 (base 3) in base 14?
421b9
-76ca (base 15) to base 11
-179a8
What is 2230301113 (base 4) in base 2?
10101100110001010111
-3eb41 (base 16) to base 13
-8cb95
Convert 1e8a04 (base 15) to base 7.
15504352
8446d (base 14) to base 5
40203220
12102201 (base 3) to base 12
2361
8a0440 (base 12) to base 2
1000011000110001110000
What is -195462 (base 10) in base 6?
-4104530
906 | {
"pile_set_name": "DM Mathematics"
} |
w) = -5*w**2 + 5*w - 4. Let m = -4 - -10. Let a(d) be the first derivative of 4*d**3/3 - 2*d**2 + 3*d - 1. What is m*a(o) + 5*v(o)?
-o**2 + o - 2
Let n(x) = 2*x - 13. Suppose 0 = -4*i - 4*r + 32, -2 - 4 = -3*r. Let q(y) = 0*y + 12 + 1 - i - y. Calculate 6*n(d) + 11*q(d).
d - 1
Let m(o) be the second derivative of -7*o**3/6 + 5*o**2 + 53*o. Let j(u) = -20*u + 29. Calculate 6*j(d) - 17*m(d).
-d + 4
Let b(x) = 11*x + 2. Let d(r) = -297*r - 55. Calculate -55*b(h) - 2*d(h).
-11*h
Suppose -5 + 2 = -x. Let k(s) = -5 + 0*s**2 + 6*s**x + 6*s**2 - s**3. Let o(a) = 2*a**3 + 2*a**2 - 2. Give -3*k(z) + 8*o(z).
z**3 - 2*z**2 - 1
Let i(k) = 10*k - 4 + 5 - 5*k. Let a be i(1). Let q(p) = -4*p**2 + 3. Let s = 1 + 1. Let x(u) = u**2 - 1. What is a*x(c) + s*q(c)?
-2*c**2
Let r(q) be the first derivative of -q**2/2 + q + 4. Let d(b) = b**2 + 6*b - 6. Give -d(h) - 6*r(h).
-h**2
Let a(v) = 270*v**3 - 55*v. Let l(s) = 10*s**3 - 2*s. What is 2*a(o) - 55*l(o)?
-10*o**3
Let m(d) = -8*d**3 + 7*d**2 - 7*d. Let k(n) = -3*n + 29*n**3 - 33*n**3 - n + 4*n**2. What is 7*k(t) - 4*m(t)?
4*t**3
Let g(p) = 2*p + 6. Let y(f) = -2*f + 3. Let i(w) = 5*w - 5. Let j(a) = 4*i(a) + 9*y(a). Suppose -3*v - 2 = -23. What is v*g(r) - 6*j(r)?
2*r
Let r(t) = -6*t - 2. Let x(h) = 10*h - 1. Let a be x(1). Let g be (-3)/2*(-6)/a. Let i(n) = -2 + g - 4 - 22*n + 5*n. Determine -4*i(f) + 11*r(f).
2*f - 2
Let o(c) = 3*c**3 - 6*c**2 + 6*c + 1. Let j(l) = 6*l**3 - 11*l**2 + 11*l + 3. Let t(p) = -6*j(p) + 11*o(p). Let k(z) = 2*z**3 + 5. What is 7*k(u) + 5*t(u)?
-u**3
Let l(n) be the second derivative of n**5/20 - n**4/12 + n**3/6 - n**2/2 + n - 12. Let c(a) = -7*a**3 + a**2 - a + 1. Calculate c(p) + l(p).
-6*p**3
Let v(t) = t**3 + 24*t**2 + 24*t + 24. Let y be v(-23). Let j(a) = a**2 + 5*a + 4. Let f(x) = x**2 + x + 1. What is y*j(n) - 4*f(n)?
-3*n**2 + n
Let l(c) = 7*c + 6. Let q be 3*(0 - (-8)/6). Suppose -16 = -4*k, 0 = -q*i - k + 25 + 3. Suppose 5*s = s - 52. Let w(y) = 15*y + 13. Give i*w(f) + s*l(f).
-f
Let m(x) = -x + 1. Let a(f) = 7 + 6 - 4*f - 2*f - 8. What is 2*a(t) - 10*m(t)?
-2*t
Let g(l) = -3*l**2. Let p(a) = a**2. Let i(y) = -2*y - 10. Let z be i(-6). Give z*g(u) + 5*p(u).
-u**2
Let r(o) = o**3 - 9*o**2 + 6*o + 4. Let u(l) = -l**3 + 8*l**2 - 5*l - 3. Calculate -5*r(g) - 6*u(g).
g**3 - 3*g**2 - 2
Let f be (-4 + 2)*1/1. Let z(p) = -4*p**3 + 2*p. Let t(i) be the second derivative of -2*i + 1/20*i**5 + 0*i**4 + 0 - 1/6*i**3 + 0*i**2. Give f*t(k) - z(k).
2*k**3
Let a(i) = 3*i**3 - 30*i**2 - 3*i - 1. Let h(c) = -2*c**3 + 20*c**2 + 2*c + 1. Give 5*a(k) + 7*h(k).
k**3 - 10*k**2 - k + 2
Let q be (2/4)/(4/56). Let r(z) be the third derivative of -z**4/4 + 13*z**3/6 - 9*z**2. Let t(w) = 2*w - 4. Determine q*t(g) + 2*r(g).
2*g - 2
Let w(i) = -13*i**2 + 13*i. Let l(h) = -h**2 + h - 1. Let g(s) = -2*l(s) + w(s). Let m(o) = 6*o**2 - 6*o - 1. Give -4*g(t) - 7*m(t).
2*t**2 - 2*t - 1
Let g(c) = 10*c - 1. Let p(b) = 9*b - 2. Calculate 4*g(i) - 3*p(i).
13*i + 2
Let y(v) be the third derivative of v**5/60 - v**3/6 - 2*v**2. Let t(a) = 8*a**2 - 4. Calculate -t(q) + 4*y(q).
-4*q**2
Suppose -3*n - 23 = 4*u, 16 = n - 3*n - 3*u. Let v(g) = -g**2. Let o(c) = -3*c**2 - 2*c + 2. Calculate n*v(z) + o(z).
2*z**2 - 2*z + 2
Let i(r) = r**2 + r. Let t(v) = -v**2 - 3*v. Let x(j) be the third derivative of j**5/60 + j**4/4 + j**3/2 - j**2. Let g be x(-6). Determine g*i(a) + t(a).
2*a**2
Let b(l) = -7*l**2 - 11. Let v(s) = -20*s**2 - 32. Give 14*b(g) - 5*v(g).
2*g**2 + 6
Let w(v) = 2*v**2 + 3. Let p(t) = -2*t**3 + t**2 + t + 2. Let i be p(2). Let u(b) = 6*b**2 + 9. What is i*w(z) + 3*u(z)?
2*z**2 + 3
Let a(v) = -5 + 2 + 5 - 3. Let u(p) = p + 3. Let s(n) = 4*a(n) + u(n). Let r(i) = -i**2 - 5*i + 6. Calculate 2*r(t) + 11*s(t).
-2*t**2 + t + 1
Let u(o) = -o**3 - o**2 - 3*o + 3. Let g(k) = -k + 1. What is -3*g(i) + u(i)?
-i**3 - i**2
Let l(r) = 7*r**2 + 8*r - 4. Let f be -6*(115/30 - 4). Let m(x) = -x**2 - x + 1. Calculate f*l(o) + 6*m(o).
o**2 + 2*o + 2
Let o(g) be the third derivative of -g**6/24 - g**5/20 + g**4/12 - g**3/2 - 15*g**2. Let h(a) = -a**3 - a**2 - 1. Determine 3*h(m) - o(m).
2*m**3 - 2*m
Let v(a) = a - 1. Let o(n) = 6*n - 15. Calculate -o(y) + 4*v(y).
-2*y + 11
Let u(k) = 16*k**3 - 5*k. Let r(s) = 4*s**3 + 7*s**2 + s + 7. Let a(b) = -3*b**3 - 6*b**2 - b - 6. Let w(z) = 7*a(z) + 6*r(z). Calculate -2*u(f) + 11*w(f).
f**3 - f
Let v(m) = -m - 1. Let c = 22 - 21. Let p(x) = -2*x**3 - 3*x - 3. Determine c*p(s) - 3*v(s).
-2*s**3
Let f(r) = -r**3 - 3*r**2. Suppose -312 = -2*h - 298. Let t(w) = -4*w**3 - 9*w**2. Calculate h*f(v) - 2*t(v).
v**3 - 3*v**2
Let r(u) = -4 + u**2 + 2*u**2 - u**2 - 7*u. Let c(x) = -5*x**2 + 5*x - 3. Let g(s) = 9*s**2 - 9*s + 5. Let v(j) = -7*c(j) - 4*g(j). What is -r(k) - 4*v(k)?
2*k**2 + 3*k
Let z(s) be the second derivative of -s**3 - 8*s**2 - 6*s. Let c(x) = x + 3. Determine -11*c(d) - 2*z(d).
d - 1
Let a = -151 - -148. Let g(o) = o**2 - 2. Let r(l) = 2*l**2 - 1. Determine a*r(c) + 2*g(c).
-4*c**2 - 1
Let o(b) = -2*b**2 + 2*b - 4. Let n(v) = 2*v**2 - 2*v + 3. Suppose 0 = p + 3 - 7. Suppose p*j = -3 - 17. Let m be j + 2 + (3 - 5). What is m*n(g) - 4*o(g)?
-2*g**2 + 2*g + 1
Let l(h) = -23 - 26 + 49 - h. Let g(o) = -2*o. Give 3*g(k) - 12*l(k).
6*k
Let d(p) = -p**3 - 6*p**2 - 9*p - 2. Let n(l) = l**2 + l + 1. Give -d(u) - 4*n(u).
u**3 + 2*u**2 + 5*u - 2
Let x(r) = -5*r**3 + 3. Let k(s) = 1 + 4*s**3 - 3 + 5*s - 5*s. Let d = -2 + 5. Determine d*k(v) + 2*x(v).
2*v**3
Let l(q) = -5*q**3 + q**2 - 7*q + 7. Let i(f) = 4*f**3 - f**2 + 6*f - 6. Let v be ((-8)/12)/(10/105). Determine v*i(o) - 6*l(o).
2*o**3 + o**2
Let h(q) = -4*q**3 + 2*q**2 - 3*q - 3. Let i(n) be the first derivative of 3*n**4/4 - n**3/3 + n**2 + 2*n - 28. What is 2*h(m) + 3*i(m)?
m**3 + m**2
Let r(h) = -1. Let l(p) be the third derivative of -p**4/8 + p**3/6 + 14*p**2. Calculate l(i) + 3*r(i).
-3*i - 2
Let i(m) = 6*m**2 - 4*m - 7. Let o(n) = -7*n**2 + 5*n + 8. What is 5*i(b) + 4*o(b)?
2*b**2 - 3
Let l(d) = 3*d + 57. Let q(m) = m + 28. Give -2*l(o) + 5*q(o).
-o + 26
Let v(d) = -194*d. Let c(p) = -97*p. Calculate 11*c(r) - 6*v(r).
97*r
Let q(r) = r**2 + 4*r - 3. Let n be (-2)/(-6) + 2/3. Suppose 3*p = 2*p + n. Let j(w) = -w + 1. What is p*q(c) + 4*j(c)?
c**2 + 1
Suppose -5*v + 55 = -10*v. Let g(q) = 4*q**3 + 13*q**2 - 11*q + 7. Let s(m) = 2*m**3 + 7*m**2 - 6*m + 4. What is v*s(u) + 6*g(u)?
2*u**3 + u**2 - 2
Let z(n) = 2*n**2 - 3*n. Let y(p) = p**2 + p. Calculate 5*y(x) + z(x).
7*x**2 + 2*x
Let q = -36 + 31. Let m(p) = 3*p - 8. Let z(v) = 2*v - 7. Determine q*z(b) + 4*m(b).
2*b + 3
Let q(k) = 3*k**3 + 2*k**2 - 6*k - 4. Let r(x) = 3*x**3 + x**2 - 5*x - 3. What is 3*q(t) - 4*r(t)?
-3*t**3 + 2*t**2 + 2*t
Let m(h) = -6*h**3 - 8*h**2 + 8*h - 6. Let u(p) = -4*p**3 - 5*p**2 + 5*p - 4. Let c(r) = r**2 - 6*r. Let g be c(5). What is g*m(o) + 8*u(o)?
-2*o**3 - 2
Let z(b) = b**2 - 8*b + 2. Let h(a) = a**2 + 0*a**2 - 5*a**2 - 1 + 7*a + 3*a**2. What is 3*h(k) + 2*z(k)?
-k**2 + 5*k + 1
Let o(h) = h**2 + 1. Let s(a) = -7*a**2 - 5. Calculate -10*o(r) - 2*s(r).
4*r**2
Let m(u) = 2*u**2 + 2*u - 11. Let q(c) = -3*c - 7. Let s be q(-6). Let g(o) = -o**2 - o + 6. Calculate s*g(r) + 6*m(r).
r**2 + r
Let w(z) = 22*z**2 + 22*z + 12. Let u(y) = 9*y**2 + 9*y + 5. Calculate 12*u(l) - 5*w(l).
-2*l**2 - 2*l
Let h(r) = 418*r. Let p(d) = 11*d. Calculate -2*h(i) + 77*p(i).
11*i
Let s(h) = -8*h + 7. Let y(t) = 12*t - 11. Give -8*s(d) - 5*y(d).
4*d - 1
Let q be (-3 - -2) + -5 + 8. Let f(t) = -2*t + 3. Let i(h) = -h + 2. Suppose -5*o = -m + 3, m = -3*o + 5*o. Let a = o - 2. Determine a*i(v) + q*f(v).
-v
Let f(v) = -3*v. Let z(y) = -16*y - 1. Let r = 11 - 13. Determine r*z(c) + 11*f(c).
-c + 2
Let g(q) = 55*q**2 - 35*q + 35. Let d(l) = -6*l**2 + 4*l - 4. Determine 35*d(o) + 4*g(o).
10*o**2
Let t = -145 - -143. Let z(s) = -s**2 - 8*s + 1. Let r(x) be the first derivative of x**2/2 + 1. What is t*z(u) - 18*r(u)?
2*u**2 - 2*u - 2
Let y(i) be the second derivative of 2*i**3/3 + i**2 - i. Suppose 0 = -4*a + 17 - 53. Let s = a - -15. Let g(h) = h + 1. What is s*g(z) - 2*y(z)?
-2*z + 2
Let x(y) = -14*y**2 - 17*y + 17. Let r(c) = -5*c**2 - 6*c + 6. Suppose a + 3 = 0, k - 5*k + 13 = a. Determine k*x(v) - 11*r(v).
-v**2 - 2*v + 2
Let c(l) = -2*l**3 + 3*l - 4. Let w(j) = 2*j**3 - 3*j | {
"pile_set_name": "DM Mathematics"
} |
of 41675843.
11, 3788713
List the prime factors of 8843045.
5, 1768609
What are the prime factors of 3375129659?
11, 4483, 68443
List the prime factors of 18241576.
2, 23, 99139
List the prime factors of 16962648.
2, 3, 719, 983
What are the prime factors of 1797533576?
2, 224691697
List the prime factors of 157811661.
3, 7, 193, 12979
List the prime factors of 1166837388.
2, 3, 29, 3352981
List the prime factors of 851533345.
5, 13, 13100513
List the prime factors of 196486372.
2, 19, 2585347
List the prime factors of 248402495.
5, 11, 349, 12941
What are the prime factors of 50867808?
2, 3, 17, 71, 439
What are the prime factors of 58274995?
5, 19, 613421
What are the prime factors of 35991928?
2, 7, 19, 33827
What are the prime factors of 775998872?
2, 11, 83, 106243
What are the prime factors of 120249853?
167, 720059
List the prime factors of 40005867.
3, 11, 43, 233
What are the prime factors of 49855827?
3, 7, 283, 8389
What are the prime factors of 417329147?
43, 9705329
List the prime factors of 29010996.
2, 3, 7, 115123
What are the prime factors of 7664981355?
3, 5, 6397, 26627
What are the prime factors of 478229664?
2, 3, 11, 452869
What are the prime factors of 126236753?
126236753
What are the prime factors of 38534022?
2, 3, 251, 2843
List the prime factors of 405153162.
2, 3, 1087, 20707
List the prime factors of 177470677.
71, 659, 3793
List the prime factors of 1301043630.
2, 3, 5, 43368121
What are the prime factors of 285937582?
2, 7, 20424113
List the prime factors of 19601897.
7, 37, 75683
What are the prime factors of 69462239?
7, 11, 419, 2153
What are the prime factors of 4685283787?
12277, 381631
List the prime factors of 136659972.
2, 3, 107, 106433
What are the prime factors of 1464130410?
2, 3, 5, 48804347
List the prime factors of 508708549.
23, 653, 33871
List the prime factors of 141668241.
3, 11, 13, 330229
What are the prime factors of 121647805?
5, 23, 1057807
What are the prime factors of 89302094?
2, 7, 6378721
List the prime factors of 382344952.
2, 11, 4344829
What are the prime factors of 336927244?
2, 359, 234629
What are the prime factors of 81943448?
2, 59, 127, 1367
What are the prime factors of 2888169498?
2, 3, 31, 5175931
What are the prime factors of 469909678?
2, 7, 29, 1157413
What are the prime factors of 41274968?
2, 7, 737053
What are the prime factors of 1777033278?
2, 3, 9931, 9941
List the prime factors of 144242056.
2, 7, 29, 88819
List the prime factors of 381570134.
2, 11, 17, 31, 32911
List the prime factors of 111959013.
3, 919, 40609
List the prime factors of 170872430.
2, 5, 17087243
What are the prime factors of 1314514822?
2, 15671, 41941
List the prime factors of 46452706.
2, 59, 393667
What are the prime factors of 8367907046?
2, 79, 241, 219757
What are the prime factors of 73492339?
659, 111521
What are the prime factors of 90239650?
2, 5, 1804793
List the prime factors of 34257002.
2, 13, 73, 18049
List the prime factors of 1871874517.
103, 911, 19949
List the prime factors of 525918123.
3, 977, 19937
What are the prime factors of 2211439724?
2, 13, 42527687
What are the prime factors of 637471335?
3, 5, 23, 37, 49939
What are the prime factors of 2460421874?
2, 383, 3212039
List the prime factors of 48113936.
2, 13, 231317
What are the prime factors of 65032012?
2, 797, 20399
List the prime factors of 67518272.
2, 613, 1721
List the prime factors of 140366565.
3, 5, 3119257
List the prime factors of 367585414.
2, 7, 31, 43, 19697
List the prime factors of 1694966977.
11, 53, 2907319
What are the prime factors of 88602132?
2, 3, 7383511
What are the prime factors of 849575876?
2, 631, 336599
What are the prime factors of 362180157?
3, 120726719
What are the prime factors of 2586909902?
2, 22921, 56431
What are the prime factors of 359638004?
2, 11, 19, 71, 73, 83
List the prime factors of 126341244.
2, 3, 31, 113209
What are the prime factors of 2597976387?
3, 288664043
What are the prime factors of 744257603?
17, 839, 52181
List the prime factors of 39357122.
2, 7, 37, 75979
What are the prime factors of 45031151?
11, 353, 11597
List the prime factors of 543843968.
2, 137, 31013
What are the prime factors of 1342522166?
2, 2557, 262519
List the prime factors of 169218378.
2, 3, 7, 1343003
List the prime factors of 166756977.
3, 19, 975187
What are the prime factors of 1155800959?
1155800959
What are the prime factors of 21279328?
2, 7, 41, 331
List the prime factors of 50753871.
3, 7, 89513
What are the prime factors of 209730925?
5, 8389237
List the prime factors of 1248433.
19, 65707
List the prime factors of 17630043.
3, 19, 43, 7193
List the prime factors of 49144477.
49144477
What are the prime factors of 57063218?
2, 911, 31319
List the prime factors of 920247457.
23, 857, 46687
What are the prime factors of 243155373?
3, 81051791
List the prime factors of 1360287983.
53, 61, 127, 3313
List the prime factors of 3354827107.
17, 619, 318809
List the prime factors of 5253526588.
2, 1313381647
List the prime factors of 42412618.
2, 179, 118471
List the prime factors of 2608018794.
2, 3, 863, 167891
List the prime factors of 132256152.
2, 3, 7, 9719
What are the prime factors of 66914838?
2, 3, 823, 4517
List the prime factors of 206722150.
2, 5, 29, 142567
What are the prime factors of 46207529?
23, 509, 3947
List the prime factors of 2032093147.
7, 17, 17076413
List the prime factors of 48575247.
3, 7, 2313107
List the prime factors of 145417875.
3, 5, 387781
List the prime factors of 1056603299.
1056603299
What are the prime factors of 85319909?
85319909
What are the prime factors of 16305979?
16305979
List the prime factors of 26229909.
3, 83, 105341
What are the prime factors of 271086992?
2, 11, 491, 3137
List the prime factors of 169271715.
3, 5, 11284781
What are the prime factors of 142793853?
3, 1063, 44777
List the prime factors of 45454639.
45454639
List the prime factors of 467200971.
3, 51911219
What are the prime factors of 3041316990?
2, 3, 5, 307, 36691
List the prime factors of 759770790.
2, 3, 5, 25325693
What are the prime factors of 993826685?
5, 198765337
List the prime factors of 185861186.
2, 7, 439, 30241
What are the prime factors of 142358902?
2, 7, 2039, 4987
What are the prime factors of 753193618?
2, 211, 1097, 1627
List the prime factors of 892805466.
2, 3, 7, 21257273
What are the prime factors of 24752504?
2, 7, 442009
What are the prime factors of 1004308189?
293, 3427673
What are the prime factors of 495030656?
2, 23, 181, 929
List the prime factors of 1957215223.
157, 3181, 3919
List the prime factors of 59743080.
2, 3, 5, 263, 631
What are the prime factors of 32101629?
3, 7, 23, 66463
List the prime factors of 968326554.
2, 3, 13, 12414443
What are the prime factors of 4771217742?
2, 3, 795202957
What are the prime factors of 612628961?
7, 53, 1651291
List the prime factors of 20944315.
5, 7, 85487
List the prime factors of 16868986.
2, 43, 73, 2687
What are the prime factors of 164704801?
164704801
List the prime factors of 58618430.
2, 5, 13, 241, 1871
What are the prime factors of 178761944?
2, 761, 29363
What are the prime factors of 622988423?
9871, 63113
What are the prime factors of 68998163?
13, 29, 6311
List the prime factors of 129402400.
2, 5, 161753
What are the prime factors of 20349707?
7, 43, 67607
What are the prime factors of 38143523?
11, 3467593
What are the prime factors of 47818764?
2, 3, 7, 189757
List the prime factors of 403867244.
2, 11, 73, 125737
What are the prime factors of 2941040743?
2941040743
List the prime factors of 533626446.
2, 3, 3299, 26959
List the prime factors of 226335219.
3, 11, 5153
What are the prime factors of 61945083?
3, 6882787
What are the prime factors of 43501463?
31, 619, 2267
What are the prime factors of 86257733?
1091, 79063
What are the prime factors of 166943902?
2, 181, 461171
List the prime factors of 556947232.
2, 17404601
List the prime factors of 5962099636.
2, 37, 5449, 7393
What are the prime factors of 519649848?
2, 3, 19, 101, 3761
What are the prime factors of 808977701?
7, 16509749
List the prime factors of 574228049.
37, 71, 241, 907
List the prime factors of 76840752.
2, 3, 1019, 1571
List the prime factors of 10291882.
2, 19, 199, 1361
List the prime factor | {
"pile_set_name": "DM Mathematics"
} |
+ 0 + 5*a**2 + 0*a + 0*a**3 + 0*a**5. Find the second derivative of m(r) wrt r.
-100*r**3
Let u(t) be the third derivative of t**8/5040 - t**6/360 + t**5/60 + 3*t**2. Let m(n) be the third derivative of u(n). Differentiate m(s) wrt s.
8*s
Suppose -n - 3*n = 0. Let s be (-4)/12 + (-13)/(-3). Find the first derivative of 0*r - 4 - r**s + n*r wrt r.
-4*r**3
Let d(k) be the third derivative of 4*k**2 + 0*k**5 + 0 + 0*k**4 + 0*k + 1/40*k**6 + 1/3*k**3. Differentiate d(m) with respect to m.
9*m**2
Let i(x) = 22*x - 3. Let z(t) = -43*t + 5. Let n(r) = 11*i(r) + 6*z(r). What is the derivative of n(p) wrt p?
-16
Let h = 2 + -6. Let l = h + 7. Differentiate 0*v - 4 - l*v**3 + 0*v wrt v.
-9*v**2
Let n(m) = -m**3 + 5*m**2 - m + 5. Let s be n(5). What is the third derivative of -30*v**2 + s + v**4 + 34*v**2 + 0 wrt v?
24*v
Let l(x) be the third derivative of 53*x**4/24 + 31*x**3/6 - 53*x**2. What is the derivative of l(j) wrt j?
53
Differentiate 3*f - 43 + 74 - 41 with respect to f.
3
Let f(j) = -j**3 - 5*j**2 + 7*j + 3. Let s be f(-6). Let o = s - -5. What is the derivative of o*m + m + 13 - 10 wrt m?
3
Let x(m) be the second derivative of 11*m + 1/4*m**5 - 11/12*m**4 + 0*m**2 + 0 + 0*m**3. Find the third derivative of x(w) wrt w.
30
What is the third derivative of -4*n - 2*n**5 - 10*n**2 + 4*n - 13*n**5 wrt n?
-900*n**2
What is the third derivative of -2 + 65*l**6 + 8*l**2 - 3 - 3*l**2 - 4*l**2 wrt l?
7800*l**3
Let v(i) = -i**4 + i + 1. Let d(s) = -7*s**4 + s - 5. Let o(r) = 5*d(r) - 5*v(r). Find the first derivative of o(t) wrt t.
-120*t**3
Let j be (-2*(-4)/(-2))/(-1). Suppose 3*u + 2 + 3 = -2*i, -j*u = 12. What is the third derivative of 0*v**i + 2*v**2 - v**6 - v**6 wrt v?
-240*v**3
What is the first derivative of 2 + 10*g**3 - g**3 - 6 - 1 wrt g?
27*g**2
Let z be (4/(-6))/(4/(-3)). Let k(w) be the first derivative of 1 - w - z*w**2. What is the derivative of k(b) wrt b?
-1
Let x(l) be the third derivative of l**6/20 - l**3 + 3*l**2. Let j(f) = -9*f**3 + 9. Let m(a) = 5*j(a) + 8*x(a). What is the first derivative of m(p) wrt p?
9*p**2
Let x(i) = -21*i**3 + 5*i**2 - 5*i - 39. Let w(d) = 11*d**3 - 3*d**2 + 3*d + 20. Let u(r) = 5*w(r) + 3*x(r). What is the first derivative of u(g) wrt g?
-24*g**2
Suppose -5*i + i = 3*v - 25, -2*v - 4*i = -22. What is the second derivative of 2*f**3 - v*f + 5*f**3 - 4*f**3 wrt f?
18*f
Let m(k) be the third derivative of 11*k**7/105 - 13*k**4/12 + 40*k**2. What is the second derivative of m(s) wrt s?
264*s**2
What is the derivative of 3 - 16 + 12*x + 3 - 10 wrt x?
12
Let r(d) = 13*d**2 - 14. Let w(k) = -27*k**2 + 27. Let f(q) = 7*r(q) + 3*w(q). Differentiate f(x) wrt x.
20*x
Let u(m) be the third derivative of 3*m**5/20 + m**3 - 4*m**2. Find the first derivative of u(c) wrt c.
18*c
Let w(x) be the second derivative of -15*x**8/28 - x**4/12 - 20*x. What is the third derivative of w(o) wrt o?
-3600*o**3
Let z(g) = -64*g**5 + 26*g**2 + 11*g. Let w(n) = -13*n**5 + 5*n**2 + 2*n. Let b(k) = 11*w(k) - 2*z(k). Find the third derivative of b(p) wrt p.
-900*p**2
Let q(l) = 3*l**3 - l + 1. Let j be q(1). Find the first derivative of -j*t**4 + 34*t - 34*t + 7*t**4 - 1 wrt t.
16*t**3
Let n(f) = 4*f**2 - 5*f - 5. Let k(m) = -m**2 + m. Let s = 14 + -9. Let u(z) = s*k(z) + n(z). What is the derivative of u(q) wrt q?
-2*q
Suppose 1 = -3*d - d + w, -d + 5 = 5*w. Find the first derivative of -3*o**2 + 0*o**2 + d*o**2 + 2 wrt o.
-6*o
Find the second derivative of -6*l + l**2 - l - 4*l - 2*l**5 + 23*l wrt l.
-40*l**3 + 2
Let d(z) = 9*z**3 - 2*z**2 - 5*z - 5. Let q(v) = 5*v**3 - v**2 - 3*v - 3. Let o(u) = 3*d(u) - 5*q(u). What is the third derivative of o(l) wrt l?
12
Let l(s) be the second derivative of -17*s**7/42 + 4*s**3/3 - 17*s. What is the second derivative of l(k) wrt k?
-340*k**3
Find the third derivative of 24*o**5 - 71*o**5 + 0*o**2 + 33*o**5 + 32*o**2 wrt o.
-840*o**2
Let v be (-74)/(-14) - 4/14. Find the second derivative of 2*y - 2*y**v - 5*y**5 + 4*y**5 wrt y.
-60*y**3
Differentiate -2*u - u - 3 + 9 wrt u.
-3
Suppose 312 = u + 2*u - 3*v, 0 = 5*v + 15. What is the second derivative of u + 2*r**3 + 9*r + 6*r**3 - 101 wrt r?
48*r
Let t = -1 - 5. Let p(m) = 7*m**5 - m**2 - 5*m + 5. Let r(y) = 8*y**5 - y**2 - 6*y + 6. Let w(s) = t*p(s) + 5*r(s). Find the third derivative of w(q) wrt q.
-120*q**2
Let z(i) be the second derivative of 0 - 1/12*i**4 + 0*i**3 - 4*i - 1/2*i**2. Differentiate z(v) with respect to v.
-2*v
Let z(u) be the first derivative of 5*u**4/12 + 2*u**3/3 - 2*u + 7. Let o(d) be the first derivative of z(d). Find the second derivative of o(q) wrt q.
10
Let z(n) be the third derivative of 17*n**8/336 - 19*n**4/24 + 11*n**2. Find the second derivative of z(o) wrt o.
340*o**3
Let x(i) = i**4 - i**3 + i - 1. Let j(a) = -7*a**4 + 5*a**3 - 5*a + 6. Let d = -4 - -5. Let b(m) = d*j(m) + 5*x(m). Find the first derivative of b(k) wrt k.
-8*k**3
Let n = -1 - -3. Find the third derivative of -4*u**5 - 7*u**3 + 4*u**n + 7*u**3 wrt u.
-240*u**2
Find the second derivative of 2*u**2 + 11*u - 6*u + 0*u wrt u.
4
Let c = 4 - 2. What is the first derivative of 2 - c*z - 4 + 4 wrt z?
-2
Let o(u) be the second derivative of u**3/3 - 3*u**2/2 + 2*u. Let k(s) = -2*s + 4. Let x(i) = 4*k(i) + 5*o(i). Find the first derivative of x(r) wrt r.
2
Suppose 0 = 5*z - 9 - 6. Let x(r) be the third derivative of 0*r + 1/24*r**4 + 2*r**2 - 1/60*r**5 + 0*r**z + 0. Find the second derivative of x(o) wrt o.
-2
Let n(w) = -2*w**2 - 5*w + 3. Let y(l) = -l + 1. Let v(a) = -n(a) + 5*y(a). What is the first derivative of v(m) wrt m?
4*m
Let h(w) = 31*w**2 + 7*w + 21. Let a(g) = -21*g**2 - 5*g - 14. Let m(j) = -7*a(j) - 5*h(j). Find the first derivative of m(l) wrt l.
-16*l
What is the third derivative of -3*g + 3*g + 146*g**2 - g**6 + g - 141*g**2 - 6*g**5 wrt g?
-120*g**3 - 360*g**2
Let q(j) = -4*j**2 - j**4 + 6 - 1 + j**2 + 5*j. Let p(g) = -g**2 + 2*g + 2. Let h(w) = -5*p(w) + 2*q(w). Find the third derivative of h(m) wrt m.
-48*m
Let w(c) = 5*c**3 - 7*c**2 + 3*c - 7. Let m(k) = -2*k**3 + 4*k**2 - k + 4. Let h(u) = 7*m(u) + 4*w(u). What is the second derivative of h(y) wrt y?
36*y
Let u(a) be the first derivative of 23*a**5/5 - 16*a**3/3 + 24. Find the third derivative of u(h) wrt h.
552*h
Suppose 4 = 4*m + 4*h, -1 = -3*h + 2. Find the second derivative of -5*y**2 + 4*y**2 + 2*y**2 + 3*y + m*y**2 wrt y.
2
Let w(y) be the second derivative of 1/5*y**5 + 0*y**4 - 4*y + 0*y**3 + 0 - 3/2*y**2. What is the derivative of w(q) wrt q?
12*q**2
Let i = 4 - 4. Suppose 2*h - 3*h = i. Find the second derivative of u**2 + 2*u + h*u**2 + u**2 wrt u.
4
Suppose -4 - 12 = -2*l. Suppose 2*b - l = -2*b. Differentiate 2*m**3 - 2 + b*m**3 - 6*m**3 with respect to m.
-6*m**2
Let s be 8 - 11 - (-7 + -1). What is the second derivative of -o + 0*o**5 + 4*o**s - 5*o**5 wrt o?
-20*o**3
Let q(b) be the third derivative of 2*b**7/15 + b**4 - 22*b**2. What is the second derivative of q(x) wrt x?
336*x**2
Let j(r) = 7*r**5 - 2*r**4 - 2*r**3 + 5*r**2. Let v(k) = -k**5 + k**4 + k**3 - k**2. Let f(b) = j(b) + 2*v(b). What is the third derivative of f(d) wrt d?
300*d**2
Let r(d) be the second derivative of -d**6/30 - 7*d**3 + 47*d**2/2 + 34*d. Differentiate r(k) with respect to k.
-4*k**3 - 42
Let v be (-7)/2*(-4 + 2). Suppose 4*a - 23 = -v. Find the second derivative of 4*u**3 + 0*u**3 - a*u**3 + 2*u**3 - 4*u wrt u.
12*u
What is the second derivative of -2*i**5 - i**5 - 9*i + 10*i**5 + 2*i**5 wrt i?
180*i**3
Let p(i) = i**2 - i + 1. Let t be -1*(4 - 1 - 4). Let g(x) = x + 1. Let w(n) = t*g(n) - p(n). What is the second derivative of w(o) wrt o?
-2
Let n(i) be the third derivative of i**5/30 - i**4/8 - 8*i**2. Find the second derivative of n(g) wrt g.
4
What is the third derivative of -q - 17*q**2 + 162*q**5 + 4*q - 182*q**5 wrt q?
-1200*q**2
Let h(w) = -w**3 - 6*w**2 - w - 4. Let j be h(-6). Let g = 7 + -3. What is the derivative of 5*v**3 + 0 - g*v**3 + j wrt v?
3*v**2
What is the derivative of -2*n + 13 - 6*n + 4*n - 2*n wrt n?
-6
Let w(y) = 13*y**3 - 4*y**2. Let g(b) be the first derivative of -7*b**4/4 + 2*b**3/3 - 3. Let z(p) = 11*g(p) + 6*w(p). Find the third derivative of z(s) wrt s.
6
Let n(q) = 10*q**3 + 6*q**2 + q - 6. Let w(t) = -3 - 2 + 5*t**2 + 7*t**3 + 2*t**3 + 2*t. Let f(o) = | {
"pile_set_name": "DM Mathematics"
} |
13*j - 220. Suppose -25*f = -24*f + j. Let i = f - -196. What are the prime factors of i?
3, 47
What are the prime factors of 55625/(-250)*786/(-5)?
3, 89, 131
Suppose 0 = 22*l + 500 - 170. What are the prime factors of 1298 + (209/(-55) - (-3)/l)?
2, 647
Let v(o) = 7*o**3 - o**2 - 2*o + 3. Let c be v(2). List the prime factors of c*(6 - 1/(-3)).
17, 19
Let m = 1892 - 2714. Let u = -818 - m. What are the prime factors of u?
2
Suppose 50*h = -60*h + 105*h + 311315. What are the prime factors of h?
19, 29, 113
Suppose 2*v = -t + 1838, 3*t = -4*v + v + 5523. Suppose 5*a - 9280 = -5*r, t = r - a - a. What are the prime factors of r?
2, 463
Let a = 8443 - 890. What are the prime factors of a?
7, 13, 83
Suppose 19562 = 5*z + 4*m, 2*z - 4*m - 9470 = -1634. List the prime factors of z.
2, 19, 103
Let m be -1 - -1880 - (21 - 18). Suppose -12*p + 3*s - 1876 = -16*p, 4*p + s - m = 0. What are the prime factors of p?
7, 67
Suppose -248*p + 252*p + 102477 = 5*y, -5*y + 3*p + 102479 = 0. What are the prime factors of y?
103, 199
What are the prime factors of (-8 + -302 + -1)*(-19)/1?
19, 311
Let a(p) = -293*p + 37. Let d(t) = -290*t + 37. Let u(o) = 6*a(o) - 7*d(o). List the prime factors of u(2).
3, 13
Let c(q) = q**3 - 37*q**2 - 90*q + 82. Let j be c(38). Let t = 3248 + j. What are the prime factors of t?
2, 677
Suppose -466917 - 1772121 + 491798 = -110*h. List the prime factors of h.
2, 11, 19
Suppose j = -3*p + 2171, 6*j = -4*p + 4*j + 2898. Suppose -4*u - 2*h + 3888 = 0, 5*u - p = 2*h + 4138. What are the prime factors of u?
2, 3
Let u = -77 + 77. Suppose 9*r + 1205 - 3239 = u. List the prime factors of r.
2, 113
Let w(g) = 93*g - 266. List the prime factors of w(32).
2, 5, 271
Suppose -4*j = -2*h - 10, 35*j = 40*j - 5*h - 20. What are the prime factors of (-123 - 3)/((j - 8)/7)?
2, 3, 7
Suppose 6287 = 4*y - f, 2*y = -5*f + 1748 + 1423. List the prime factors of y.
11, 13
Let z = -14084 - -17649. What are the prime factors of z?
5, 23, 31
Let k(y) be the first derivative of -y**4/4 - 4*y**3 - 9*y**2 - 41*y - 207. List the prime factors of k(-16).
31, 41
Let w(u) = 110*u**2 + 32*u - 249. What are the prime factors of w(6)?
3, 1301
Suppose -84 = -5*m + 6*m. Let z = 122 + m. Suppose -90 = 37*b - z*b. List the prime factors of b.
2, 3, 5
Suppose 5520 = 5*j - 5*f, 2*j + 549*f - 550*f - 2205 = 0. What are the prime factors of j?
3, 367
Suppose 5*i - 52 - 18 = 0. Let c = -17 + i. List the prime factors of c + (80 - (-8)/2).
3
Let y be 10/(-15) - (-22)/6. Suppose 2096 = y*m - 4*g, 2 = 2*g - 0. What are the prime factors of m?
2, 5, 7
Let i = -15853 + 24231. List the prime factors of i.
2, 59, 71
Let v = -1194 + 3250. List the prime factors of v.
2, 257
Let z(b) be the second derivative of 77*b**3/6 + 171*b**2/2 + 76*b. What are the prime factors of z(22)?
5, 373
Let i = -35 - -13. List the prime factors of (656/(-6))/(i/33).
2, 41
Suppose 22*o - 6977 = 5805. List the prime factors of o.
7, 83
Let s(i) = -388 - 47*i + 81*i + 61*i + 107*i. What are the prime factors of s(7)?
2, 3, 19
Suppose 94176 = 3*m - 3*v, -28*m + 5*v + 94182 = -25*m. List the prime factors of m.
3, 10463
Let y be (1 + (-1 - -1))/(-143 - -144). What are the prime factors of (10 + -15)/((-4)/932*y)?
5, 233
Suppose -5*i - 30 = 3*l, -5*i = -l + 2*l + 20. Let d be (-1844)/(-7) + i/7. Suppose 3*m - d = -2*f, -m = 3*m + f - 359. List the prime factors of m.
7, 13
Let h(a) = -a + 1. Let p(i) = -i**2 + 13*i - 19. Let k(x) = -6*h(x) - p(x). Let f be k(6). What are the prime factors of 82 + 6/(-21) + (-5)/f?
3
Suppose -2*w + 1449 = 5*w. Let m = w + -146. List the prime factors of m.
61
Suppose -14*v - 8173 = -23657. Suppose -1402 = 3*a + 4*f, 2*a = -4*f - v + 174. What are the prime factors of (-3 - 1)*a/10?
2, 47
Let z(o) = -849*o - 6244. List the prime factors of z(-33).
21773
Suppose -388*r + 6687563 - 2378809 = -18696542. List the prime factors of r.
2, 3, 61
Let h(b) = -25*b + 21. Let o(p) = -11*p + 7. Let g be o(4). Let y = 29 + g. List the prime factors of h(y).
13, 17
Suppose 3*j - 2*x - 6 = 0, 0*j + x + 9 = 3*j. List the prime factors of ((-1485)/25 + -1)/(j/(-10)).
151
Suppose -227*k + 220*k + 14 = 0. Suppose 4 - 8 = -k*l, -4*w - l = -918. List the prime factors of w.
229
Suppose 0 = -3*l + 3*a + 16353, 19*l - 9*a = 16*l + 16323. What are the prime factors of l?
2, 11, 31
Let r be 0/(-1*(-4)/8*4). What are the prime factors of 1 + r - (-1204 - 34)?
3, 7, 59
Let q = -5 - -26. Suppose -15*i = -45*i - 24 + 114. Suppose q = m + x, -x - i = -0. List the prime factors of m.
2, 3
Let x(f) = f**2 + 0 + 10 - 1 - 2*f**2 + 6*f. Let c be (-110)/11*(-6)/10. List the prime factors of x(c).
3
Let d(b) = 2*b**2 + 15*b + 21. Let f be d(-9). Let u = -32 + f. Suppose 15*v = u*v - 15. What are the prime factors of v?
3, 5
What are the prime factors of (-4050 - 8)*(-306)/68?
3, 2029
Let o(u) = -111*u - 896. What are the prime factors of o(-51)?
5, 953
Let t be 5/(-2)*(-3136)/40. Suppose -2*j - 5*p - t + 804 = 0, -2*p = -4. What are the prime factors of j?
13, 23
Suppose 13543 + 8577 = 10*k. Let v = k + -949. What are the prime factors of v?
3, 421
Suppose 138*b + 13*b - 1053980 = 0. List the prime factors of b.
2, 5, 349
Let q(r) = 2*r**2 - 10*r + 58. Suppose -9*o = 229 - 31. What are the prime factors of q(o)?
2, 7, 89
Suppose m - 2 = 0, -q + 2*m + 0 = 2. Let k be (2/(-8) + (-3)/(-12))/q. Suppose k = -2*y + 4. What are the prime factors of y?
2
Suppose -71*h + 107671 + 164352 = 51355. What are the prime factors of h?
2, 3, 7, 37
Let h(n) = 2*n**3 - 18*n**2 - 14*n + 30. Let d be h(9). Let r = 78 - d. What are the prime factors of r?
2, 3, 29
Suppose 5*n + 1291 + 14719 = 3*r, 4*n = 20. List the prime factors of r.
5, 1069
Let y(i) = 3*i**3 + 156*i**2 - 264*i - 56. List the prime factors of y(-50).
2, 1759
Let m(d) = 8 - 6*d + 62*d - 2*d + 247*d. What are the prime factors of m(2)?
2, 5, 61
Suppose 3*y + 8 = 4*r, 0 = -11*y + 12*y - 3*r + 11. Let j(p) = 8*p**3 + 5*p**2 - 20. What are the prime factors of j(y)?
2, 11, 13
Let n = 2693 - -4182. What are the prime factors of n?
5, 11
Let l = 120477 - 59247. List the prime factors of l.
2, 3, 5, 13, 157
Suppose -4*m = -3*f - 7 + 36, 22 = -f - 5*m. Suppose b = f - 1. Suppose 7*y - 4*g = 3*y + 796, b*g = 5*y - 992. List the prime factors of y.
2, 3, 11
Let b(j) = j**3 + 19*j**2 + 12*j + 42. Let v be b(-18). List the prime factors of (-72)/(-10)*v/12.
2, 3, 5
Suppose -3*u = n - 1, 4*n = 5*u + 15 + 40. Suppose l = n*l + 9. What are the prime factors of (11/2)/(l/(-26))?
11, 13
What are the prime factors of (678/904)/((-6)/(-102208))?
2, 1597
Let t be (-6)/(-18) - (-14)/(-6). Let l(m) = -2*m**3 + 4*m + 2. Let j be l(t). Suppose -j*r + 0*r + 80 = 0. List the prime factors of r.
2
Let x(r) = 108*r**2 + 3*r - 1. Let z(j) = -36*j**2 - j. Let q(w) = 6*x(w) + 17*z(w). Let t be (-240)/(-105) - (-2)/(-7). What are the prime factors of q(t)?
2, 5, 7
Let y(h) = 61*h + 19. Let v be y(4). Suppose -5*i = -2413 + v. What are the prime factors of i?
2, 5, 43
List the prime factors of (-350)/(-28)*5*53076/150.
5, 4423
Let u be 47/((-2115)/186) + (-4)/(-30). Suppose -175 - 33 = 2*t. List the prime factors of (t/(-6))/((u/(-6))/1).
2, 13
Let s(i) = -i**2 + i. Let h(k) = -63*k**2 - k + 1. Let c(x) = -h(x) + 2*s(x). List the prime factors of c(1).
3, 7
Let p(t) = -4*t**3 + 4*t**2 - 4*t - 1. Let k(j) = 6*j**3 - 5*j**2 + 3*j + 3. Let x(s) = -4*k(s) - 5*p(s). List the prime factors of x(-6).
809
Let s = -3881 - -6440. What are the prime factors of s?
3, 853
Let w(u) = 204*u - 1823. What are the prime factors of w(53)?
89, 101
Suppose -42*t + 67817 = -115471. What are the prime factors of t?
2, 1091
Let f(d) = d**3 - 2*d + 1. Let b be f(3). Suppose 14*t + 320 = b*t. List the prime factors of 5/t*4*242.
11
List the prime factors of 27746 - ((-15)/75)/(3/(-30)).
2, 3, 17
Let d = -2300 + 3307. List the prime factors of d.
19, 53
Let t(a) = 2248*a - 5571. List the prime factors of t(8).
12413
Let f be 1*-2 + -39 + -475. List the prime factors of (5 + -2 + -4)*f.
2, 3, 43
Let o(b) = 269*b + 3911. What are the prime factors of o(89)?
2, 3, 11, 211
Let l(i) = -1621*i + 68. List the prime factors of l(-3).
4931
Let l be (4 - 8)*(-1 - -2)*-2. Let h be ((-11)/(66/(-696)))/(2/l). What are the prime facto | {
"pile_set_name": "DM Mathematics"
} |
*2 + 5*k - 3. Let p be a(3). Let z be 0 - (-8)/12*p. Calculate the remainder when 9 is divided by (-27)/36 + 30/z.
0
Suppose -12*z = -341 - 259. Calculate the remainder when z is divided by 49.
1
Let y = -427 - -466. Let j(c) = -38*c - 2. Calculate the remainder when j(-2) is divided by y.
35
Let u(d) = -d**3 + 5*d**2 + 7*d - 8. Calculate the remainder when 48 is divided by u(5).
21
Suppose 5*z + r = 870, 281 = 3*z + 3*r - 253. Suppose -2*p = 4*c - p - 97, 0 = -c + p + 28. What is the remainder when z is divided by c?
23
Calculate the remainder when 326 is divided by (-9)/((-126)/385) + 1/(-2).
2
Let l(h) = -h**2 + 123. Let i = 39 + -39. What is the remainder when l(i) is divided by 42?
39
Let z be 66/55*10/(-4). Let a be (-8)/6 - 4/z. Suppose a = -2*v + 30 + 12. What is the remainder when 41 is divided by v?
20
Suppose -8*c + 0*c = -168. What is the remainder when c is divided by 12?
9
Let q(v) = -19*v. Let z(c) = -c. Let d be z(2). Calculate the remainder when q(d) is divided by (-43 + 23)/(0 + -1).
18
Let u(a) = 5 + 7*a - a**3 - 2*a**2 - a**2 - 21 + 0*a. Calculate the remainder when u(-6) is divided by 14.
8
Suppose 0 = 2*h + 36 - 48. Suppose 0 = -z - 2*v + 7, 5*z - 3*v + 23 = 110. Calculate the remainder when z is divided by h.
3
Suppose 0 = -3*z - 0*z + 4*f + 158, f = -5*z + 271. What is the remainder when z is divided by 15?
9
Suppose -3*p = d + 2, 4 = 4*p - 6*p. Suppose 0*q - 4*q = 2*y - 50, 0 = -d*y + q + 91. Calculate the remainder when ((-82)/(-4) - -1)*2 is divided by y.
20
Let y be (-347)/4 + (-7)/28. Let h = 168 + y. Calculate the remainder when h is divided by 21.
18
What is the remainder when 120/(-18)*(24/5)/(-1) is divided by 8?
0
Suppose -z + 3 + 8 = 0. Suppose 1924 = 25*u - 1076. Calculate the remainder when u is divided by z.
10
Let b(i) = -i**2 + 5*i - 1. Let c be b(2). Suppose -64 = -2*r - 5*t, -t - 1 + c = 0. Calculate the remainder when r is divided by 5.
2
What is the remainder when 149 is divided by (-40)/(-6)*9/12 + 73?
71
Let h be (-22)/4 - 1/2. Let r = h + 11. Suppose 3*j + 20 = 2*z - 7, -26 = -2*z + 2*j. What is the remainder when z is divided by r?
2
Suppose -j + 4*q = -3 + 4, -5*q + 14 = 3*j. Suppose -8 + 29 = j*r. Calculate the remainder when 12 is divided by r.
5
Suppose 128*u = 130*u + 74. Let o(y) = -12*y - 2. Let r be o(-7). Let c = u + r. What is the remainder when c is divided by 12?
9
Suppose 3*v + 4 = o - 0*v, 5*o + 30 = 5*v. Let j = -13 - o. Calculate the remainder when (j/6)/(1/(-111)) is divided by 19.
18
Suppose -140 - 60 = -5*b. Let c = b + -35. Let q(f) = f**2 - 5*f - 10. Calculate the remainder when c is divided by q(7).
1
Let v be (-2 - 17/(-3)) + (-24)/36. Suppose -2*z - 3*j + 271 = 61, -v*z + 4*j = -349. Calculate the remainder when z is divided by 38.
35
Suppose -35*d - 448 = -49*d. Let a(p) = -p + 126. What is the remainder when a(0) is divided by d?
30
Suppose -3*c + b + 44 = 0, 2*c + 0*b - b = 31. Suppose -215 = -3*s - 74. Calculate the remainder when s is divided by c.
8
Suppose 0 = -h - 3*h + 36. What is the remainder when 30 is divided by h?
3
Let y = 31 + -29. What is the remainder when (-33)/(-7) + -2*(-1)/7 is divided by y?
1
Let z(y) = y - 7. Suppose 4*m + m - 45 = 0. Let f be z(m). Suppose f*i - 25 = 1. What is the remainder when 24 is divided by i?
11
Let x(q) = -10*q + 206. Calculate the remainder when 1041 is divided by x(9).
113
What is the remainder when (78/12 + -5)/(2/360) is divided by 26?
10
Let f = 51 + -39. Suppose -14*g = -f*g - 92. Calculate the remainder when g is divided by 12.
10
Let a(t) = -t**2 + 13*t + 23. What is the remainder when a(14) is divided by 1?
0
Suppose 9*q = -30 + 66. Calculate the remainder when 43 is divided by q.
3
Let w = 143 + -136. Calculate the remainder when 31 is divided by w.
3
Suppose -5*n - 610 = -2*p - 3*p, 0 = -2*p - 5*n + 223. What is the remainder when p is divided by 40?
39
Suppose 5*k + 31*j - 29*j - 235 = 0, 0 = 2*j. Calculate the remainder when 186 is divided by k.
45
Let h = -736 + 526. Let l(q) = -10*q - 3. What is the remainder when l(-3) is divided by 16/(-6)*h/56?
7
Suppose -5*u - 4*r = 61, 0 = -u - u - 2*r - 26. Let k = u - -20. Suppose 2*f = 122 - 40. Calculate the remainder when f is divided by k.
8
Suppose -3*j = -5*h - 50, -4*j + 8 = -h - 87. Calculate the remainder when 71 is divided by j.
21
Let a = 21 + -21. Let v(k) = k**3 - k**2 + 3. Let m be v(a). What is the remainder when 126 is divided by (-2)/m - (-294)/9?
30
Suppose 5*q = 2*l - 126, 4*l - 5*q - 200 = 52. Suppose 4*o - 5 = l. What is the remainder when 46 is divided by o?
12
Suppose 12 - 97 = -5*q. Let t(z) = 33*z**2 + z - 1. What is the remainder when t(1) is divided by q?
16
Let f = 499 - 462. What is the remainder when 257 is divided by f?
35
Let c = 48 + -36. Calculate the remainder when 215 is divided by c.
11
What is the remainder when 404 is divided by 31*1 - (11 + -9)?
27
Suppose 0 = -i + 7*i. Suppose i = -q - 3*q + 52. What is the remainder when 24 is divided by q?
11
Suppose -7*o + 3*d + 354 = -2*o, -278 = -4*o + 5*d. What is the remainder when 132 is divided by o?
60
Suppose -4 = -q, 4*u - 200 = 5*q - 6*q. Suppose -7*c = -21 - u. Calculate the remainder when 27 is divided by c.
7
Let r = 7 - -6. Let x be (-4 + 156/(-8))*-2. Let n = 85 - x. What is the remainder when n is divided by r?
12
Suppose 0 = -3*l + 10*l - 189. What is the remainder when l is divided by 8?
3
Let j be (12/(-10))/(4/20). Let w(v) = v**3 + 10*v**2 + 15*v + 5. Calculate the remainder when w(j) is divided by 15.
14
Suppose -3*g + 23 = -13. Let z = 6680 + -6634. Calculate the remainder when z is divided by g.
10
Let j be (4/2 + 446)*8/16. Suppose -4*v + j - 80 = 0. What is the remainder when v is divided by 10?
6
Suppose -v - 2*v = -5*n - 37, -33 = -2*v - 5*n. What is the remainder when 26 is divided by v?
12
Suppose 6*w - 2*w = 40. Suppose w*y - 6*y = 168. Let m = -20 - -31. What is the remainder when y is divided by m?
9
Suppose -9047 = -162*n + 1483. Suppose -2*c = -6*c - 2*u + 142, -4*u = 5*c - 185. What is the remainder when n is divided by c?
32
Suppose 0 = 7*m - 65 - 152. Calculate the remainder when 111 is divided by m.
18
Let f(z) = z - 12. Let h be f(12). Suppose 24 = 5*t - 4*c, h = -3*c + 2 - 5. What is the remainder when 16 is divided by t?
0
Let x(a) = -35*a - 401. Calculate the remainder when x(-19) is divided by 45.
39
Suppose -3*l + 63 = 2*c - 11, 0 = -4*l - 16. What is the remainder when 48 is divided by c?
5
Let w be 2 + 2 + -2 + 0. Suppose w*q + q + 24 = 0. Let c = q - -47. What is the remainder when c is divided by 20?
19
Let h(q) = -q**3 + 8*q**2 - 4. Let l(o) = -o**3 + 8*o**2 - 3. Let b(g) = -3*h(g) + 4*l(g). What is the remainder when b(6) is divided by 37?
35
What is the remainder when ((-6)/(-4))/(6/352) is divided by 5?
3
Suppose 11*v = 20*v - 198. Suppose 5*l + 4*i = 25 + 512, l - 115 = 3*i. Calculate the remainder when l is divided by v.
21
Suppose 3*q = 5*b - 202, -b + 42 = -0*b + q. Let o(u) = 2*u**2 - 6*u + 1. Calculate the remainder when b is divided by o(5).
20
Suppose -60 = -3*x + 3*q, 35*q - 32*q + 3 = 0. Calculate the remainder when 33 is divided by x.
14
Let w = -8 - 9. Let r = w - -22. What is the remainder when 15 is divided by r?
0
Let n = -33 + 55. Let f(l) = -l**3 + 21*l**2 + 28*l + 12. What is the remainder when f(n) is divided by 29?
28
Let u(p) = -p**2 - 5*p - 1. Let d be u(-4). Let n be 18 + -13 + (1 - 3). Suppose c - n = d. Calculate the remainder when 16 is divided by c.
4
Suppose -3*x = -12, -207*x = -5*h - 209*x + 63. What is the remainder when 2188 is divided by h?
10
Suppose 68*r = 14*r + 14526. What is the remainder when r is divided by 97?
75
Let i = -14 + 31. Let v(w) be the first derivative of 65*w**3/3 - w**2/2 + w + 1. What is the remainder when v(1) is divided by i?
14
Let p = -197 + 211. Calculate the remainder when 34 is divided by p.
6
What is the remainder when (1688/9)/2 + (-18)/(-81) is divided by 24?
22
Let d(b) = -b - 10 + 6 + 8. Suppose 3*k = 6, 2*k + 24 = q + 4*k. Calculate the remainder when q is divided by d(-3).
6
Let z = 20 - 20. Suppose u + 3*k + z*k = 51, -2*u = -2*k - 94. Calculate the remainder when u is divided by 7.
6
Suppose -27*s + 1666 = 7*s. Suppose -2*n - 51 = -5*n. Calculate the remainder when | {
"pile_set_name": "DM Mathematics"
} |
2 + v and give i.
8
Express (829*g - 829*g + 13*g**2)*(2 + g + 2*g - 4*g) as b*g + o*g**2 + q + h*g**3 and give o.
26
Rearrange -2*y - 5*y + 6*y + 3*y + 8*y**2 to the form i + k*y + x*y**2 and give x.
8
Express 12*a**2 - 14*a**2 - 3*a**4 - 1 - 3*a**3 + 3*a**3 - 2*a in the form d*a**4 + l*a**3 + c + i*a**2 + p*a and give c.
-1
Rearrange -38*q**2 + 36*q**2 - q - 2*q + 3*q**4 to the form k*q**4 + m + w*q**2 + h*q**3 + j*q and give k.
3
Rearrange f + 22*f**2 - 18*f**2 + 20*f**2 + 19*f**2 to the form l*f + w + p*f**2 and give p.
43
Express -3 + 3 - k - 27*k + 30 - 30 + (2*k - k - 2*k)*(-2 - 2 + 3) + k - k - 2*k in the form s + f*k and give f.
-29
Rearrange (3*i + 14 - 16 - 2*i)*(-1 - 2 + 1) to the form g + k*i and give k.
-2
Rearrange -2 + 5*d**3 - 7*d**3 - 10*d**2 + 4*d**3 - 9*d**2 to r*d**3 + v*d**2 + t + c*d and give r.
2
Express 3*t - 5*t**3 + 18*t**2 + 6 - 6 - 15*t**2 in the form i*t**2 + r*t + s*t**3 + n and give r.
3
Rearrange 9*u**4 - 4*u**3 + 2*u**2 - 10*u**4 - u**3 to the form n*u**2 + k*u**3 + o*u**4 + l + x*u and give o.
-1
Express -6*m**3 + m + 5*m**3 + 4*m**3 - m**4 - m**3 as d*m**2 + y*m**4 + x*m**3 + a*m + t and give x.
2
Express -2*v**2 - 7*v**2 - 15*v**2 + v**2 in the form f + w*v + j*v**2 and give j.
-23
Express (-177 + 177 - 37*d**2 + d + d**2 - d + (d - 2*d - d)*(4*d - 3*d + d))*(3 - 2*d**2 - 3) in the form f*d**4 + x*d + l*d**3 + r + a*d**2 and give r.
0
Express 8*v - 5*v + 0*v - 2*v + 9 as c*v + i and give c.
1
Rearrange (2 + 0 - 1)*(-3*k - 3 + 3)*((1 - 2 + 2)*(-6*k + 4*k + 4*k) - k + 3*k - k + 0*k - 4*k + 0*k) to w*k + h*k**2 + r and give h.
3
Rearrange (4 + 1 - 4)*(-3*c - 2*c**3 + 3*c) + 0*c**3 + 2*c**3 + 2*c**3 + (-4*c**2 - 3*c + 3*c)*(0 + 0 - 2*c) to l*c**3 + g*c + m*c**2 + b and give l.
10
Express -2*l + 6*l - 3*l + (3 - 3 + 7*l)*(1 + 1 - 4) in the form q + i*l and give i.
-13
Express -6*r**3 + 2*r**4 + 5*r + 3*r**3 - 4*r - 1 + 4*r**3 as f + k*r + c*r**3 + q*r**4 + m*r**2 and give m.
0
Rearrange 23*c**2 - 86*c + 86*c to the form a*c**2 + d*c + g and give a.
23
Express -12*b**3 + 25*b**3 + 2*b - b**2 - 14*b**3 as r*b + q + k*b**3 + a*b**2 and give a.
-1
Express -8*n - n**2 + 9*n - 4*n + 8*n**2 in the form i + b*n**2 + r*n and give b.
7
Rearrange (5 - 1 - 2)*(-11*j - 5*j - 2*j) - 5*j - j + 4*j - 3*j + 6*j - j - 4*j - 2*j + 5*j + (3*j - 2*j - 2*j)*(2 - 3 - 1) to y + a*j and give a.
-35
Express -4 + 1 - 14*i + 3 in the form h*i + k and give h.
-14
Express (-2*v - v**3 + 2*v)*(v + 3*v - 3*v) - 5*v**4 + v**4 + 3 + 3*v**4 in the form s*v + c*v**4 + h*v**3 + r*v**2 + w and give w.
3
Express -3 - 3*v**3 + 1 - 5*v + 5*v**3 as s*v**2 + q + d*v + c*v**3 and give q.
-2
Rearrange -6 + 5 + 25*c + 1 to the form w*c + s and give w.
25
Rearrange -2*m**4 + 3 - m - 3*m**3 + 6*m**4 - 3*m**4 to the form a*m**4 + k*m**2 + h*m + g + n*m**3 and give a.
1
Rearrange (-25*r + 6*r - 36*r)*(0*r**2 - 2*r**2 + r**2) - 2*r**3 - 3 + 3 to the form n*r**2 + h + t*r + i*r**3 and give i.
53
Express -h**3 + 3*h**4 + 0*h**2 - 2*h**2 - h**3 - 2*h as w*h**3 + z*h**2 + i + f*h + b*h**4 and give w.
-2
Express 40*f**3 - 46*f**3 + 108*f**3 + f**3 + 0*f + 0*f + (-3 + 3 + 2*f**3)*(1 + 0 + 0) - 5*f**3 + f**3 + 5*f**3 as d*f**3 + p*f**2 + a + s*f and give d.
106
Rearrange 20*g - 12 + 12 to the form c*g + d and give c.
20
Express (2*d**2 + 2 - 2)*(d - d + 2*d) + (-1 - 3*d + 1)*(1 + 2*d**2 - 1) as h*d**3 + w + s*d**2 + o*d and give o.
0
Rearrange 3*j + 0*j - 10*j - 13*j to m*j + z and give m.
-20
Express -2 + 4 - 3 - b - b**4 in the form t*b**4 + k*b**3 + y + w*b**2 + n*b and give n.
-1
Express 10*n + n**3 + 2*n**4 - 8*n + 3*n**2 - n**3 in the form q*n**4 + r*n + b + u*n**3 + x*n**2 and give q.
2
Express b**2 - 2*b + 4*b - 14*b**3 - b in the form c*b + d*b**3 + k + h*b**2 and give h.
1
Rearrange 19 + 0*d + 29 - 2*d - 13 to the form h*d + w and give w.
35
Rearrange (1 + 1 + 0)*(-33*i**4 + 23*i**4 - 30*i**4) to y*i**2 + d + p*i**4 + g*i**3 + n*i and give p.
-80
Express 0 + 5*v**4 + 0 + (2*v - 2*v - 2*v**3)*(24 - 7*v - 24) in the form c*v**2 + a*v**3 + m*v**4 + j*v + h and give m.
19
Rearrange 6*v**2 - v**2 - 4*v**2 + 2*v**2 + 2 - 2 + (-5*v + 4*v - v)*(3*v - 4*v + 3*v) - 23*v**2 + 2 + v**2 + 12*v**2 to i + m*v**2 + k*v and give i.
2
Express (19*m**2 + 261*m - 2 - 261*m)*(-m**2 + 4*m**2 - 6*m**2) as g*m**2 + q*m**4 + s + w*m**3 + d*m and give q.
-57
Express (o + 0*o + 0*o)*(1 - 2 + 2) + 108*o - 60*o + 16*o + (4*o - 6*o + 3*o)*(5 - 3 + 0) in the form u + t*o and give t.
67
Express 7*r**2 + r - r + 15 - 15 - 3*r**2 + (0*r - r - r)*(-3*r + 0*r + 2*r) + 4 + 2*r**2 - 4 as i + g*r + y*r**2 and give y.
8
Rearrange 2*h**3 + 2 - 2 + 17*h**3 - 21 + 21 + (h**3 + 3*h**3 - 3*h**3)*(0 + 1 - 2) to the form t*h + f*h**3 + p + i*h**2 and give f.
18
Rearrange -3*d + 5*d - 17*d to the form u*d + s and give u.
-15
Express -i**3 - i**3 + 11*i**3 + (-i**2 - 3*i**2 + 5*i**2)*(5*i - 3*i - 3*i) - 3*i**2 - i**3 + 3*i**2 in the form u*i + x + o*i**3 + m*i**2 and give o.
7
Rearrange -20 + 20 + 23*d to v + b*d and give v.
0
Express -111*c + 111*c + 17*c**2 as q*c + s + o*c**2 and give o.
17
Rearrange 14*c - 26*c - 8*c to w + k*c and give k.
-20
Express 2*w + 1 - 13*w**2 - 2*w**2 - 8*w + 7*w in the form i*w**2 + q*w + g and give i.
-15
Rearrange 6*k - 90*k**3 + 84*k**3 - 2*k + (0*k + 0*k - 3*k)*(0*k**2 + 0*k**2 - k**2) to the form v + y*k + l*k**2 + i*k**3 and give i.
-3
Express -1 - 3*m**3 - 4*m**3 - 3*m - 4*m + m as t*m**2 + d*m + b*m**3 + f and give f.
-1
Express (2 - 2 - 2*b + (-2 - 2 + 3)*(0*b + 0*b + 2*b))*(2*b + 3 - 3) as a + c*b + f*b**2 and give f.
-8
Rearrange (0*w**2 - 3*w**2 + 5*w**2 + (3*w**2 + w**2 - 2*w**2)*(4 - 2 - 5))*(2*w + 5*w - 3*w) to s*w**2 + m*w + b*w**3 + v and give b.
-16
Rearrange -415*y**2 + 139*y**2 + 1202 - 1202 + (-4*y + 0*y + 2*y)*(-4 + y + 4) - 2*y + y**2 + 2*y to the form j*y + f + c*y**2 and give c.
-277
Express (5*w**4 - w**4 - w**4 + (-2*w - 2*w + 3*w)*(3 - w**3 - 3))*(1 - 5 + 1) in the form s*w**3 + n*w + r*w**4 + v + d*w**2 and give r.
-12
Rearrange -6*l**3 + 3*l**2 - 3*l**4 + 8*l**3 + 1 - 4*l**3 + 0 to y*l + v*l**3 + z + r*l**2 + q*l**4 and give r.
3
Express (-13 + 13 - 22*l)*(0 + 3 - 2)*(-l - 23 + 23 + 5*l**2) in the form s*l**3 + b*l**2 + j*l + a and give a.
0
Rearrange -5 + 5 - 10*s**2 + 2*s**2 to t*s**2 + k*s + h and give t.
-8
Express -91*i - 6*i - 13*i + (2*i + 2 - 2)*(2 + 1 - 1) + 2*i + 0*i - i as k + s*i and give s.
-105
Rearrange (x + x + x)*(-4 + 3 + 6*x - 1) to r*x**2 + b + q*x and give r.
18
Express (a - 2*a + 0*a)*(2 - 2 - 3)*(-6 + 13 - 5) in the form g + j*a and give j.
6
Rearrange -3*d**3 - 4*d**3 + 3*d**3 - 4 + d**3 to the form a*d**2 + b*d + y*d**3 + l and give l.
-4
Express o + 37 + 0*o - 15 as c + u*o and give u.
1
Express 1 - 6*a**4 + 5*a**3 + 5*a**4 + 2 - 4 + 4*a in the form c*a + d + f*a**4 + n*a**2 + g*a**3 and give f.
-1
Express (-16*m + 16*m + 5*m**2)*(-m + 4 + 2 - 4) as z + n*m**2 + t*m + r*m**3 and give z.
0
Rearrange -9*k**3 + 7*k**3 + 2*k**2 - k**3 - 7*k**3 to the form b + j*k + t*k**3 + u*k**2 and give u.
2
Rearrange (11*b**2 + 2*b - 3*b**2 - 6*b**2)*(-2 + 1 + 2)*(-1 + 1 + 1) to the form l*b**2 + j + a*b and give a.
2
Express 73*h - 4*h**2 - 41*h - 34*h + 1 as i*h + p + y*h**2 and give y.
-4
Express 3*f**2 - 23*f**3 + 54*f**3 - 22*f**3 in the form v*f + n + w*f**3 + h*f**2 and give n.
0
Rearrange (6*b - 3*b + 8*b)*(-4*b**3 + 2*b**3 + b**3) + b**4 + b - b to y + f*b**2 + j*b + c*b**3 + z*b**4 and give z.
-10
Rearrange -1 + 2*c + 1 + 2*c + 0*c - 3*c + (-1 - 1 + 1)*(0 + 0 + 2*c) + 6*c - 5*c + 0*c + c + 2*c - 5*c + (0 + 2*c + 0)*(-1 + 0 + 3) to n*c + m and give n.
2
Express -2*d**3 + 4 - 4 + 13*d**2 - 6*d**2 - 1 as r*d + h*d**2 + t*d**3 + n and give h.
7
Rearrange -2 - b**3 + 23*b**2 + 0 + 0*b**3 + b - 24*b**2 to t*b**3 + r*b**2 + z*b + n and give r.
-1
Rearrange (5 - 1 - 3)*(0 + 2 - 1)*(4 - 3 + 1)*(-5*x + 4 + 2*x + 2*x) to the form c + d*x and give d.
-2
Express 3*g - g**3 - 2*g**2 + 0*g**2 + 0*g**2 + g**2 in the form c*g**3 + x + l*g + i*g**2 and give l.
3
Rearrange 4*x + 10*x + 2*x**3 - x**3 to the form z + m*x**2 + c*x + p*x**3 and give c.
14
Express -13*v + 3*v - v - 8*v in the form j*v + i and give j.
-19
Express 6*w + w - 5*w in the form s + u*w and give u.
2
Rearrange -2*i**4 - 7 + 2*i**2 + 12 - i - i**3 - 4 to the form a*i**2 + | {
"pile_set_name": "DM Mathematics"
} |
)/(-4) - 9/4. Let h be 0 - (1/(-1) - -3). Let g be (-7 - h) + 3 - 1. Sort l, 1, g in ascending order.
g, l, 1
Let f = 24 - 27. Sort f, 4, -2, -10 in increasing order.
-10, f, -2, 4
Let z = 2858/11 - 260. Sort -2, 1/2, z in descending order.
1/2, z, -2
Suppose 5*j - 5*n = -20, j = 2*j + 4*n + 4. Let g = 0 + -8. Let f(z) = -z**3 - 7*z**2 + 7*z - 7. Let t be f(g). Sort j, 4, t in increasing order.
j, t, 4
Let b be 48/168 + 4/(-14). Sort -3, -1, b in decreasing order.
b, -1, -3
Let j be 3/2 - (-3 - -5). Put j, 3/5, 2 in descending order.
2, 3/5, j
Let i(d) = -d**2 - 6*d - 4. Let a be i(-4). Suppose 0*h + 72 = -a*h. Let w be (8/(-12))/(4/h). Put w, 4, -4 in decreasing order.
4, w, -4
Suppose 3*k + 10 = 8*k. Suppose -4*p + 2 = -k*p. Sort -1/13, 0, p.
-1/13, 0, p
Let c = 34 + -31. Put -0.1, -0.12, c in decreasing order.
c, -0.1, -0.12
Let v = -2/3 - -1/6. Put -2, -3/2, v in descending order.
v, -3/2, -2
Suppose -24*j + 25*j = 4. Put -1, -3, j in descending order.
j, -1, -3
Let n = -0.4 + 0.4. Let z = n + 1.2. Let a = 0.2 - z. Sort -3, a, 4 in decreasing order.
4, a, -3
Let p = -18 + 14. Sort 5, -3, p.
p, -3, 5
Let u(j) = -1 + j - 2 - 2*j - 1. Let a be u(4). Let b = -9 - a. Sort b, 3, 4 in descending order.
4, 3, b
Let k be 7/(-4) - 11/44. Suppose -3*c = 2*a - 17, 0 = 4*c - c - 4*a + 7. Let m be (-12)/(-9)*-1*3. Put c, k, m in increasing order.
m, k, c
Let d(m) = m - 4. Let w be d(6). Let b = 6 - w. Let x be 7/20 - b/(-10). Sort 0, x, 2.
0, x, 2
Suppose 4*i = 12 + 8. Suppose 0 = -5*a - 22 - 8. Let g(u) = 2*u + 7. Let y be g(a). Put y, 1, i in decreasing order.
i, 1, y
Let l = -22.8 - -10.8. Put -3/2, -1, l in decreasing order.
-1, -3/2, l
Let z(x) = x - 5. Let f be z(5). Suppose 2*o + y - 8 = f, 0 = -3*y - 4 - 2. Let n = 0.8 - -2.2. Sort n, o, -4.
-4, n, o
Suppose -t - 24 = 3*t. Let y(u) = u + 6. Let z be y(t). Put z, 2, 1 in decreasing order.
2, 1, z
Let l = -15.8 - -16. Put -4, 3, l in decreasing order.
3, l, -4
Let i = -15 - -19. Suppose 3*l - 9 - 6 = 0. Let g = 101/4 + -26. Sort g, i, l in decreasing order.
l, i, g
Let a = 0.06 - 2.06. Sort 2, -0.5, a in decreasing order.
2, -0.5, a
Let v(s) = -s**2 - s - 1. Let b be v(0). Put 4, 3, 33, b in ascending order.
b, 3, 4, 33
Let m be 1261/(-247) - (-4)/38. Let a(g) = g + 5. Let o be a(-3). Put o, m, -2 in descending order.
o, -2, m
Suppose 0 = -3*h - 2*h - 5. Let y(t) = -t - 5. Let n be y(-9). Let u = -60 + 62. Sort u, h, n in increasing order.
h, u, n
Suppose -5*n - o + 28 = -0*o, 4*o - 17 = -n. Suppose 0 = 3*j - n*m + 13, 2*j - 4*m + 11 = -j. Put j, -2/25, 1/6 in ascending order.
j, -2/25, 1/6
Suppose 2*y + y + 3 = 0. Let v(h) = h**2 - 8*h - 3. Let t be v(7). Let q be (-1 - 2)*t/(-6). Sort -2, y, q in ascending order.
q, -2, y
Let y = -1 - -1. Suppose 0 = -y*a + a - 2. Put -4, 3, a in ascending order.
-4, a, 3
Let p = 3 + -3.3. Let o = -4.22 - -2.3. Let x = -0.08 + o. Sort p, x, 1/3 in increasing order.
x, p, 1/3
Suppose 2*y = -0*y - 8. Let i(o) be the first derivative of -o**4/4 - 2*o**3 - 2*o**2 - 3. Let x be i(-5). Put x, -1, y in descending order.
-1, y, x
Let w(l) = -l + 3. Suppose i = 3*i - 6. Let t be w(i). Suppose k - 2*a = -6, t*k - 4*a = 3*k - 32. Sort 0, -4, k.
-4, 0, k
Let g = -12 - -10.9. Let u = g + 0.7. Put 1/3, 1, u in descending order.
1, 1/3, u
Let k = 1/271876 + 484211149/1903132. Let a = -255 + k. Let f be (-14)/(-8)*-2 - -1. Sort a, 0.4, f in decreasing order.
0.4, a, f
Let m be -8 + -4*2/(-4) + 4. Sort 14, -5, m in increasing order.
-5, m, 14
Let f be (4/(-16))/(22/(-96)). Let q = -13/22 + f. Let i = -6/23 + 71/184. Sort 2/23, q, i in decreasing order.
q, i, 2/23
Let w = -0.41 - -0.41. Sort w, 2/3, 13.
w, 2/3, 13
Let p be 17/(-28) + (-39)/(-52). Put p, 2, 5 in decreasing order.
5, 2, p
Let b(f) = 3*f. Let n be b(-1). Let w(c) = 2*c - 6. Let v(o) = 2*o - 5. Let d(l) = -6*v(l) + 5*w(l). Let k be d(-1). Sort 0, n, k in decreasing order.
k, 0, n
Let g = 68 - 139/2. Put 0.4, 8, g in ascending order.
g, 0.4, 8
Suppose -1 - 3 = -4*u. Suppose 45 = -10*v + 65. Put v, u, -2 in decreasing order.
v, u, -2
Let b = 0.1 + -0.2. Let z = -19 - -22. Suppose z*n = -5*c + 1 - 8, 6 = -2*n - 2*c. Sort 1/4, b, n in ascending order.
n, b, 1/4
Suppose -3 = -c - 5*h, -6 = 7*c - 3*c + 2*h. Sort 7, 2, c.
c, 2, 7
Suppose 0*s = -s - 4. Let b = 4 - 1. Suppose -b*r - 8 = -23. Sort r, 0, s in decreasing order.
r, 0, s
Let q = 13 + -8. Let v(n) = 4*n**3 - 9*n**3 + 2 + 6*n**3 - 4*n**2 + 3*n. Let f be v(3). Sort q, f, -3.
-3, f, q
Suppose -3*b + 5 = -2*m, 1 = 2*m + 3*m - 3*b. Let j = m - 6. Suppose -3*h - t + 4 = 0, 4*h - 2*t = -0*h + 2. Put j, h, -1 in ascending order.
j, -1, h
Let t = 1.1 - 3.1. Let g = 2 - t. Put 0.2, 1, g in decreasing order.
g, 1, 0.2
Let i = 1 - -4. Let y = 9 + -8.5. Put i, y, -1/4 in descending order.
i, y, -1/4
Let o(c) be the third derivative of c**4/24 - c**3 + 2*c**2. Let q be o(4). Put q, -4, -5 in increasing order.
-5, -4, q
Let y = 63 - 187/3. Let i = 0.09 - 0.1. Let m = i + 0.21. Sort 2, m, y in descending order.
2, y, m
Let k = -75.7 - -76. Sort 2/7, 3, 13, k in increasing order.
2/7, k, 3, 13
Let t be 0 - (-2 + -4 + 2). Suppose 7 = 4*d + 3. Sort 9, t, d.
d, t, 9
Let a = -1 + 1. Sort 0.2, -0.5, 17, a in decreasing order.
17, 0.2, a, -0.5
Suppose 0 = 2*g - g. Put 1, g, 4 in descending order.
4, 1, g
Suppose 23 + 7 = -6*a. Put -2/7, a, 1 in increasing order.
a, -2/7, 1
Let c(v) = -2*v**3 + 2*v**2 - 2*v + 1. Let d(f) = -f**3 + 2*f**2 + 2*f + 4. Let z be d(3). Let i be c(z). Let r = 5 - 0. Sort -4, r, i in ascending order.
-4, i, r
Let v = -1471817 + 1089145019/740. Let l = 1/148 + v. Sort l, -0.4, 3.
-0.4, l, 3
Let x be (-3 + 8)*(2 + -1). Let j(w) = 4*w**2 + 2*w + 1. Let c be j(-1). Let o be c/(-9)*(-1 + 4). Sort x, 1, o in decreasing order.
x, 1, o
Let i = 1.5 - 22.5. Let s = 24.1 + i. Let h = -3 + s. Sort -1, -4, h in decreasing order.
h, -1, -4
Let c = -0.4 + 4.4. Let v = -4.3 + c. Sort 6, v, 5 in increasing order.
v, 5, 6
Let l = 47 - 2. Let t = 5089/114 + 1/38. Let g = t - l. Put -0.2, 0.4, g in ascending order.
g, -0.2, 0.4
Suppose -5 = 2*a - 3. Sort 1, a, -8, -2 in descending order.
1, a, -2, -8
Let j = -5.08 - -0.08. Let a = 2 + j. Let m = 2 + a. Put m, -0.1, -1/3 in increasing order.
m, -1/3, -0.1
Suppose 12*p = 13 + 23. Put -4, p, -3 in decreasing order.
p, -3, -4
Let z = -2263 - -4611/2. Let l = -213/5 + z. Sort -2/5, l, 2 in decreasing order.
2, l, -2/5
Let i be (-3)/1*(-2 + -80). Let v = 437/2 - i. Let f = v + 28. Sort 0, 3, f in ascending order.
0, f, 3
Suppose -2*g + 8 = 2*g. Suppose 2*o + 4*u = -10, -3*o + 5*u + 9 = -2*o. Suppose 6 = v + 3*w, -3*v + 3*w - 20 = -2. Put g, o, v in descending order.
g, o, v
Let j be 4*3/(0 - 66). Sort -2, j, -0.1 in ascending order.
-2, j, -0.1
Suppose 7 = 2*l - 11. Let y = 14 - l. Put -5, y, 4 in decreasing order.
y, 4, -5
Let o be 3 + 1 - 0/(-2). Let q be ((-1)/(-1))/(7/14). Let z be 12/(-8) + 2/q. Sort z, o, -2/5.
z, -2/5, o
Suppose 20*g + 22 = 19*g - 5*j, 30 = 5*g - 3*j. Suppose 0 = 4*o + 8 + 4. Sort o, g, 0 in decreasing order.
g, 0, o
Suppose -b + 3*b + 7 = 5*h, 0 = 3*b - 5*h + 3. Suppose 5*m - 6 - 11 = -2*y, -8 = -2*y - 2*m. Sort y, 0, b in increasing order.
0, y, b
Suppose -2*s = -4*f + 22, 0 = -3*f + 9 - 0. Sort -2, -9, s in increasing order.
-9, s, -2
Suppose -4*m + 0*c = -4*c, -5*m = c + 12. Suppose 0 = 4*n - 2*a + 10, 5*n + 2*a - 10 = 4*n. Sort m, n, 6.
m, n, 6
Suppose 0 = -2*w - 4*t + 8, 4*t - 7 = 1. Let n be (1/(-2))/(3/(-2)). Sort -1, w, n.
-1, w, n
Let b(l) = -l**3 + 4*l**2 - 2*l - 1. Let g be b(3). Suppose -m + 3*m = g. Sort -1, m, -2 in descending order.
m, -1, -2
Let n = -3.22 + 3.9. Let h = -0.6 + n. Let c = h + -0.48. Sort c, 1, -3/5 in descending order.
1, c, -3/5
Let p = -14 + 17. Suppose 9 = 2*z - 1. Put z, -3, p in decreasing order.
z, p, -3
Let u = 0.9 + -5.9. Let i = -6.21 - -0.21. Let v = u - i. Sort -4, 3, v in decreasing order.
3, v, -4
Let w be (-13)/26 + 91/2. Let f be (-2)/(-4) + w/(-18). Sort -8, f, -0.1 in ascending order.
-8, f, -0.1
Let l = 29/8 + -451/120. Let s = -76.9 + 77. Sort l, s, 2.
l, s, 2
Let d(y) = 6*y - 4. Let i be d(-3). Let v be 10/(-66) - (-4)/i. Let a = -19.5 + 19. Sort v, 0.1, a in decreasing order.
0.1, v, a
Let b = -0.8 + -0.2. Put 0.1, b, -3/5, -2/5 in descending order.
0.1, -2 | {
"pile_set_name": "DM Mathematics"
} |
ten?
60
Round -3202000 to the nearest 100000.
-3200000
What is 149881000 rounded to the nearest one million?
150000000
What is 0.11831 rounded to 2 decimal places?
0.12
What is 461.94 rounded to the nearest 10?
460
Round 0.0000047822 to six decimal places.
0.000005
Round -18.35 to the nearest integer.
-18
What is 19910000 rounded to the nearest one million?
20000000
What is -0.0000276853 rounded to 6 decimal places?
-0.000028
Round 66870000 to the nearest one million.
67000000
What is -6.8014 rounded to 1 dp?
-6.8
Round -0.00045336 to 4 dps.
-0.0005
What is 4.5138 rounded to one dp?
4.5
What is -0.000005646 rounded to 7 decimal places?
-0.0000056
What is -113.52 rounded to the nearest 10?
-110
Round -0.0014505 to five decimal places.
-0.00145
What is 0.0000350535 rounded to 6 dps?
0.000035
Round 55756 to the nearest one hundred.
55800
What is 50450 rounded to the nearest one thousand?
50000
What is -0.000001655 rounded to six dps?
-0.000002
Round 0.0000007089 to seven dps.
0.0000007
Round 0.000576 to 4 decimal places.
0.0006
What is -0.000018153 rounded to six decimal places?
-0.000018
What is -0.418491 rounded to three decimal places?
-0.418
Round -0.007012 to three dps.
-0.007
What is -3533.3 rounded to the nearest one thousand?
-4000
Round 0.0000028 to seven decimal places.
0.0000028
What is -4172000 rounded to the nearest 100000?
-4200000
Round 53620 to the nearest one thousand.
54000
Round -0.025103 to 4 decimal places.
-0.0251
What is 12029 rounded to the nearest 100?
12000
What is 3.976 rounded to zero dps?
4
Round 0.0000040615 to 7 decimal places.
0.0000041
Round -1189.9 to the nearest ten.
-1190
Round -20.02 to the nearest ten.
-20
What is -0.00080752 rounded to 5 decimal places?
-0.00081
What is -42340000 rounded to the nearest 1000000?
-42000000
What is 0.00195395 rounded to five dps?
0.00195
What is -0.00015053 rounded to five decimal places?
-0.00015
What is -30005 rounded to the nearest 10000?
-30000
What is -0.6554 rounded to 2 decimal places?
-0.66
What is 4434 rounded to the nearest 1000?
4000
What is 113.21 rounded to the nearest 10?
110
What is 0.000053 rounded to 4 dps?
0.0001
What is 0.01073 rounded to 3 dps?
0.011
Round -102000 to the nearest 1000000.
0
What is -0.00555 rounded to 4 decimal places?
-0.0056
What is 0.1458 rounded to 2 decimal places?
0.15
What is -100.9 rounded to the nearest 10?
-100
Round -4782000 to the nearest one hundred thousand.
-4800000
What is 3.03 rounded to 1 dp?
3
Round 1.054 to one dp.
1.1
Round 6750 to the nearest ten thousand.
10000
Round -5922.6 to the nearest one hundred.
-5900
Round -2785 to the nearest one hundred.
-2800
Round -0.0022767 to four dps.
-0.0023
Round 0.00012809 to 5 decimal places.
0.00013
What is -0.0002246 rounded to five dps?
-0.00022
What is 0.00001252 rounded to 7 dps?
0.0000125
What is -0.2182 rounded to three dps?
-0.218
What is -13220000 rounded to the nearest 1000000?
-13000000
What is -796.8 rounded to the nearest 10?
-800
Round -0.00006297 to six dps.
-0.000063
Round 159590 to the nearest 10000.
160000
Round 1.8361 to zero decimal places.
2
Round 0.000257865 to six decimal places.
0.000258
Round -11200900 to the nearest 1000000.
-11000000
What is -0.19653 rounded to one dp?
-0.2
Round -0.0278 to four dps.
-0.0278
What is 0.000003088 rounded to seven dps?
0.0000031
What is -27150.8 rounded to the nearest 1000?
-27000
Round 0.3578 to one decimal place.
0.4
What is 0.24295 rounded to 3 decimal places?
0.243
What is -0.0000189085 rounded to 6 dps?
-0.000019
Round -0.0087961 to 3 dps.
-0.009
Round 217.5 to the nearest 100.
200
Round 0.000001886 to six dps.
0.000002
Round -0.3165 to one decimal place.
-0.3
What is 255300 rounded to the nearest 10000?
260000
Round 0.000705 to 4 decimal places.
0.0007
What is 85220000 rounded to the nearest 1000000?
85000000
Round 0.003108 to three dps.
0.003
What is -0.0000159 rounded to six decimal places?
-0.000016
Round 1.79 to one dp.
1.8
Round -0.0049988 to five dps.
-0.005
What is -98180 rounded to the nearest one hundred thousand?
-100000
What is 0.0000801 rounded to six decimal places?
0.00008
What is -12525000 rounded to the nearest 1000000?
-13000000
Round 0.0382144 to three decimal places.
0.038
What is 668800 rounded to the nearest 100000?
700000
What is 86328 rounded to the nearest 10000?
90000
Round -2991600 to the nearest one hundred thousand.
-3000000
What is -1577 rounded to the nearest one hundred?
-1600
What is -1046.06 rounded to the nearest 10?
-1050
Round 0.1944 to two decimal places.
0.19
Round 0.43843 to two dps.
0.44
What is 0.008251 rounded to four dps?
0.0083
What is 0.000158045 rounded to six decimal places?
0.000158
Round 0.000013624 to 6 dps.
0.000014
Round -0.0000002011 to seven dps.
-0.0000002
Round -423.93 to the nearest 100.
-400
Round -782.89 to the nearest 10.
-780
Round -0.0001328 to five decimal places.
-0.00013
What is -0.0000064332 rounded to 7 decimal places?
-0.0000064
What is -0.3557 rounded to one dp?
-0.4
Round 0.000001179 to six decimal places.
0.000001
What is -9505000 rounded to the nearest one million?
-10000000
What is 0.0010337 rounded to 4 decimal places?
0.001
What is -265.9 rounded to the nearest integer?
-266
Round 0.00439 to four dps.
0.0044
What is 264.711 rounded to zero decimal places?
265
Round 9680000 to the nearest one million.
10000000
Round -259 to the nearest one hundred.
-300
Round 23284 to the nearest 1000.
23000
Round -26106000 to the nearest 1000000.
-26000000
Round 240997 to the nearest ten thousand.
240000
What is 8376.2 rounded to the nearest ten?
8380
What is -0.031738 rounded to 3 decimal places?
-0.032
Round -269.3 to the nearest 100.
-300
Round 4534800 to the nearest 100000.
4500000
Round 0.0047487 to four dps.
0.0047
Round 178370 to the nearest 1000.
178000
What is -5550000 rounded to the nearest 100000?
-5600000
What is 129168 rounded to the nearest 100?
129200
Round -3606000 to the nearest 100000.
-3600000
Round 0.000040507 to 5 dps.
0.00004
What is 72673000 rounded to the nearest 1000000?
73000000
What is 0.000007682 rounded to 7 dps?
0.0000077
What is -0.17222 rounded to 3 decimal places?
-0.172
What is 0.040536 rounded to four decimal places?
0.0405
What is 0.001991 rounded to three dps?
0.002
Round -675.39 to the nearest ten.
-680
Round 0.0276 to 3 decimal places.
0.028
Round -898500 to the nearest ten thousand.
-900000
Round -31665100 to the nearest one million.
-32000000
Round -907910 to the nearest 1000.
-908000
What is 0.00040696 rounded to 5 decimal places?
0.00041
What is -0.292979 rounded to 2 decimal places?
-0.29
Round -0.00001013 to seven dps.
-0.0000101
What is -61.274 rounded to the nearest ten?
-60
What is 2.8395 rounded to 2 decimal places?
2.84
What is 238.68 rounded to the nearest ten?
240
Round -130.89 to the nearest ten.
-130
What is -0.00004538 rounded to 6 dps?
-0.000045
What is 8.805 rounded to one dp?
8.8
Round -0.00002067 to 6 dps.
-0.000021
What is -8342000 rounded to the nearest 100000?
-8300000
Round 10584000 to the nearest 100000.
10600000
Round -78400 to the nearest 100.
-78400
Round -524600 to the nearest ten thousand.
-520000
Round -0.0000529066 to 5 dps.
-0.00005
Round -524724 to the nearest 100000.
-500000
What is 0.003219 rounded to four decimal places?
0.0032
What is 1636.28 rounded to the nearest ten?
1640
Round -70580 to the nearest 10000.
-70000
Round 98182000 to the nearest one million.
98000000
What is -1041210 rounded to the nearest 1000?
-1041000
Round -698410000 to the nearest 1000000.
-698000000
What is -0.025 rounded to one dp?
0
Round 0.0994 to 2 decimal places.
0.1
Round -0.0004099 to five dps.
-0.00041
Round -0.00073509 to four dps.
-0.0007
Round 292.146 to the nearest integer.
292
Round -0.0034916 to five decimal places.
-0.00349
What is 2658.2 rounded to the nearest ten?
2660
Round 2223.1 to the nearest one hundred.
2200
Round 0.0000002646 to 7 dps.
0.0000003
Round 0.06383 to 3 decimal places.
0.064
What is 0.000451 rounded to four decimal places?
0.0005
Round 1.7414 to two dps.
1.74
Round -793.08 to the nearest one hundred.
-800
Round 383.42 to the nearest integer.
383
Round 206120 to the nearest ten thousand.
210000
What is 0.043744 rounded to 4 decimal places?
0.0437
What is -126.302 rounded to zero | {
"pile_set_name": "DM Mathematics"
} |
/17. Let t = -78703 - -78702.7. Which is the closest to f? (a) -1/6 (b) t (c) -4
a
Let p = 142 + -145. Let g = p + 6. Let a = -0.1 + 0.4. What is the nearest to 1/5 in 2, a, g?
a
Let m = -38.3 + 6.3. Let g = m - -31.91. Let y = -51 + 51.4. What is the nearest to -0.1 in 2/13, g, y?
g
Let p = -111.34 + 116.241. Let g = p + 0.099. Let y be (210/(-54) + 4)/1. Which is the closest to -1? (a) y (b) -9 (c) g
a
Let o = -883114/181 - -4879. What is the closest to -2/5 in -3, -4, o, -0.4?
-0.4
Let j = 2.379 - 1.979. Let x = -0.06 + -2.94. Which is the closest to x? (a) 3/4 (b) -0.3 (c) j
b
Let r = -0.0021 - 653.9979. Let h = r - -653.8. What is the closest to -11 in -2/9, 1, -0.3, h?
-0.3
Let o = -8.9 + 9. Let t(r) = -19*r**3 - 6*r**2. Let i be t(1). What is the nearest to o in -2/9, 1/6, i, -3?
1/6
Let c be (-8 - -10)*(-3)/6*3. What is the nearest to 10 in -31, -1/19, c?
-1/19
Let i be 24*12/(-32) + 8 + -2. Which is the nearest to 2? (a) 0 (b) 2/15 (c) i (d) 0.3
d
Let q = 1055448/55 - 19190. What is the closest to 2/5 in q, -2, 0, 0.5?
0.5
Let y = 0.1 + 13.9. Let f = -4.2 - -7. Let s = -5.8 + f. Which is the closest to y? (a) 3/8 (b) -0.5 (c) s
a
Let j = -14 + 12.8. Let l = -272.5 + 225. Let p = l - -45.5. Which is the nearest to 2/5? (a) p (b) 2/11 (c) j
b
Let t be (-1 - 3/((-168)/40)) + (-15)/(-126). Let f = -6 + 8. Which is the closest to t? (a) -1 (b) 0 (c) f
b
Let d = 13/189 - -209/2457. Let h = -19 - -23. Which is the closest to 0.1? (a) d (b) h (c) -0.16
a
Let s be 4 + 666/21 - (-60)/210. Which is the closest to 7? (a) -1 (b) 0.2 (c) 0.5 (d) s
c
Let n(p) = p**2 - 6*p + 4. Let t be n(4). Let z be ((-3)/2)/(13/44 + (-834)/1529). What is the nearest to -1 in -3/4, z, t?
-3/4
Let n = -50 + 50.035. Let o = 0.049 - n. Let u = o - -0.386. What is the closest to -1/2 in -2/9, -0.4, u?
-0.4
Let v = 190 - 3992/21. Let i = 27.6 + -24.6. Let h = -107/2 - -52. What is the nearest to h in 0.3, i, v?
v
Let n = -327.99 + 328.09. What is the closest to n in -1/6, -0.3, 3/19, 39?
3/19
Let j = 0.122 - 0.19. Let r = 22.132 + -22.6. Let o = j - r. What is the closest to -0.1 in o, 4, -35?
o
Let f = -256 - -4093/16. Let l = 3.914954 - -0.085046. What is the nearest to f in l, 4/5, -0.4?
-0.4
Let p = -352.1196 + 0.8196. Let q = p + 351. What is the closest to -0.01 in -0.1, 1/3, -4, q?
-0.1
Let i = -1 + -3. Let t = -11 - 46. Let m = -57.1 - t. Which is the nearest to i? (a) -1 (b) m (c) 4
a
Suppose -2648*t + 2664*t - 48 = 0. Which is the closest to -86/5? (a) -6 (b) -0.2 (c) t
a
Suppose 1042 - 512 - 518 = 12*u. Let f be 10/4*-1 - -1. Which is the closest to -6? (a) -5 (b) 2/3 (c) u (d) f
a
Let s be (-8)/(-5) - (-66885)/(-1225). Let y be (6 + -8)*(-1)/2. Which is the closest to 1? (a) s (b) -5 (c) y
c
Let r = -1/27 + -25/54. Let z = 23.847 + -0.247. Let o = 24 - z. What is the nearest to r in o, 1/6, 1/3?
1/6
Let r = -33143323/219 - -151340. Let o = 3/73 + r. Let v = -3 + 3.1. Which is the closest to v? (a) o (b) 0.2 (c) 1
b
Let n = -1/146 - -307/2190. Let k = 360 - 359.9. What is the closest to 3 in k, -2, n?
n
Let t = -0.1753 + 0.0753. What is the nearest to -1 in -2/9, t, -181, -4?
-2/9
Let j = -2.07 + 3.08. Let i = j - 0.01. Let p = -0.1858 - 0.0142. Which is the nearest to i? (a) p (b) 1 (c) -1/2
b
Suppose 3*v - 2*g - 4 = -v, 2*v - 3*g + 2 = 0. Let k(m) = 71 - 10*m + 34 + 43 - 16*m + 8*m. Let o be k(8). Which is the closest to v? (a) o (b) -1/2 (c) -4
a
Let a = -3851 - -3846.968. Let y = -4.968 + 5. Let w = a + y. What is the closest to 1 in w, 5, 4?
4
Let s = -683093/9 + 76014. Let g = s + -115. Let q = -4/13 + -19/65. Which is the closest to q? (a) 2 (b) -4 (c) g
c
Suppose u = -7*y + 5*y - 6, -3*u = -8*y - 52. Which is the closest to 3? (a) -1 (b) y (c) -2/199
c
Let f = -411 - -406.9. Let w = 17 - 12. Let m = w + f. Which is the nearest to -0.1? (a) 0 (b) -0.4 (c) m
a
Let u be 345/(-27) - 234/(-18). Which is the closest to -0.3? (a) -2 (b) u (c) 1/4
b
Suppose 0 = 4*c - o + 51, -3*o + 26 = -2*c + 13. Let b be -1*(-12)/c - -1. What is the nearest to 4/7 in b, 4, -4?
b
Let l = -36.06 + 36.36. Which is the closest to l? (a) -2 (b) 15 (c) 0.4
c
Let q = -18.5 - -39.1. Let r = 119.6 - q. Let d = r + -98. What is the nearest to d in 5, 0.4, 1?
1
Let w be 11 + 0 + 0 + 2 + -5. Suppose 2*g + 2 = -4*p + 4, 0 = 2*p - w. What is the closest to g in 1/2, -1/2, 5?
-1/2
Let y = -0.00705 - 0.49295. Let m = -0.062 - 0.208. Let k = m - 0.03. Which is the closest to 2/3? (a) 1 (b) k (c) y
a
Let v = 8147 - 8147.7. What is the closest to 2/9 in 0.3, -1, v?
0.3
Let j = 4/4137 + 918/1379. Let w(k) = -k**3 + 2*k**2 - k - 2. Let f be w(2). What is the nearest to -2/5 in j, f, 0.1?
0.1
Suppose 0*u = 5*u + 80. Let p be (2/10)/((-4)/u). Let d = -0.021 - 0.979. Which is the closest to p? (a) d (b) 4 (c) -5
a
Let m = -34065 - -34064. What is the nearest to m in -2/13, -1, 61, 4?
-1
Let f = 3173.1 - 3173. Let m be (4/6)/(2/(-12)). What is the nearest to -1 in -3, f, m?
f
Let w = 0.04 - 0.49. Suppose u - 21*o - 20 = -16*o, -4*o = 2*u + 16. Which is the closest to 1? (a) 5 (b) w (c) u
c
Let a(r) = 7*r**2 - 7*r - 14. Let n(w) = -8*w**2 + 8*w + 15. Let x(s) = -7*a(s) - 6*n(s). Let z be x(0). What is the nearest to 4 in 2/19, 2, z?
2
Let c = -0.14 + -0.06. Let q = -942 + 1883/2. What is the nearest to q in -3, c, -0.1?
c
Let f = -39.61 - -39.81. Which is the nearest to 7? (a) -3/8 (b) f (c) -1 (d) 0.4
d
Suppose 0 = -5*s + 2*s - 384. Suppose -55*u - 39169 = -354*u. Let l = u + s. What is the nearest to -20 in l, 2, 4?
2
Let x = 10388 + -10386. Which is the closest to -3? (a) x (b) -0.2 (c) -12/7 (d) -0.05
c
Let c = 0.56126 - 0.06126. Let h(v) = v**3 + 9*v**2 + v + 5. Let b be h(-9). Let u be 0 + -1 + 2 + 0. What is the closest to u in 1/6, c, b?
c
Let r(k) = -8*k + 4. Let f be r(18). Let s = 140 + f. Let l = 20 - 24. What is the nearest to s in l, -2, -0.5?
-0.5
Suppose 3*a = -2*j - j + 24, -6*j + 24 = 0. What is the nearest to 5 in 14, a, 5/11?
a
Let w be (2*(-6)/(-16))/((-840)/(-224)). Which is the closest to -1/6? (a) 2/17 (b) -5 (c) w (d) 0.3
a
Suppose -5*b + 660 = -5*g, -993 = -5*b - g - 339. Suppose -122 + b = -9*h. What is the nearest to 0 in 0, h, -2/13?
0
Suppose -123*v + 140*v = 34. Suppose -m = -4*t + 3, -4*m = v*t - 5*m - 1. Which is the nearest to t? (a) 1/4 (b) -1/4 (c) -0.3 (d) 0.4
d
Let j = 108 - 105. Let y be (j + (-18)/7)*(-4)/6. Let r = 29 - 233/8. What is the nearest to y in -2, 0.3, r?
r
Let u = -1396.3 - -1468. Let n = 72 - u. Which is the nearest to -0.1? (a) 0 (b) 4 (c) 29 (d) n
a
Let t = -491 + 320. Let b = t + 170.9. What is the closest to b in 1/2, 2, 1?
1/2
Let q = -151 + 157. Let i be 15/(-10)*q/(-99)*2. Let v = -0.8 - -1. What is the closest to v in 1, -1/9, i?
i
Let d = -3707.4 - -3700. What is the nearest to d in -2/9, -0.1, 1/2?
-2/9
Let b = -336.6 - -336.4. Let h = -4.03 - -0.03. Let o = h + 3.1. What is the closest to 1/3 in o, b, 0.2?
0.2
Suppose 53*u - 78 - 81 = 0. What is the closest to 2/7 in 2/91, u, 28, -1?
2/91
Let z = -2.3407 - 0.6593. Which is the closest to z? (a) -4/29 (b) -4 (c) 3/7 (d) -3/7
b
Let o = -1677 + 1095. Let p = -577 - o. Which is the nearest to 2? (a) -2/7 (b) 3 (c) 2/3 (d) p
b
Let d = -22/15 - -64/105. Let p = 0.38 + 0.14. Let g = 0.12 - p. Which is the nearest to d? (a) -3 (b) 5 (c) g
c
Let y be 2/5 - (-160)/(-275). Let t = 0.16983 + -0.16983. Let m = -19 + 6. What is the closest to -0.1 in y, t, m?
y
Let c = -74 - -83. Suppose 24 + c = 11*s. Let j = 0.4 + 2.6. What is the nearest to s in 0, j, -3?
j
Let p = 206/3 + -68. Let z = -167/141 + 40/47. Which is the closest to -2? (a) 3 (b) p (c) -2/5 (d) z
c
Let o = -3472.97 + 3473. Which is the closest to -1/3? (a) -1 (b) 2 (c) o
c
Let g = -3.91 - 0.09. Let q = 1934/4365 + 2/1455. Let y = -23/18 + q. What is the nearest to 1 in 4, g, y?
y
Suppose -5*b - 10 = -5*z, 10*b - 13*b + 43 = 4*z. What is the closest to 1 in -2/9, 8, 0.1, z?
0.1
Let i be 8 - 31/((-4557)/(-1218)). What is the closest to i in 0.3, -1/4, 0.076?
-1/4
Let i(d) = 580*d**3 + 2*d**2 - 12*d + 10. Let r be i(1). Suppose -r*b = -575*b. What is the closest to -0.5 in -0.2, -1/8, b?
-0.2
Let n = 32086/45 - 6416/9. Whi | {
"pile_set_name": "DM Mathematics"
} |
4*q**3 - q**2 + q + 1. Suppose -11 = -3*w - 8, 0 = 5*r - 5*w. List the prime factors of t(r).
3, 5, 19
Let s = -121712 + 190067. What are the prime factors of s?
3, 5, 7, 31
Let y(h) = 3*h**2 + 46*h + 140. Let m be y(-19). Suppose p - 759 = m. What are the prime factors of p?
2, 277
List the prime factors of (-532910)/644*352/(-10).
2, 11, 331
Let q = -53286 + 82094. What are the prime factors of q?
2, 13, 277
Suppose -1124308 = 198*o - 3742275 - 2981275. What are the prime factors of o?
28279
Suppose 3 = 2*d + 9. Let f(h) be the first derivative of -3*h**4/4 + h**3/3 - 5*h**2/2 + 4*h + 1. List the prime factors of f(d).
109
Let s(f) = 2*f**3 - f**2 - f + 2. Let d be s(1). Suppose 0*g - d*g = -296. Suppose 973 - g = 11*p. List the prime factors of p.
3, 5
Suppose 3*r + 80 = -q, 4*r - 1 + 9 = 0. Let k = 43 + -192. Let v = q - k. What are the prime factors of v?
3, 5
Suppose 0 = -221*y - 1164293 + 5588050. List the prime factors of y.
37, 541
Suppose -4*o + 39 = 2*r + 3*r, o + 34 = 5*r. Let k(j) = -j**2 + 8*j + 3. Let z be k(r). Suppose 2*b = -3*u + 143, 3*u + z = -5. List the prime factors of b.
79
Let p(l) = -283*l - 2164. What are the prime factors of p(-29)?
6043
Let g(s) be the first derivative of -s**3/3 - 45*s**2/2 - 63*s - 73. List the prime factors of g(-28).
7, 59
Let j(o) = 14*o**2 - o + 1. Suppose -7*i + 19 + 9 = 0. Suppose -i*s - 6*w + 3*w - 5 = 0, 12 = -3*s - 5*w. List the prime factors of j(s).
2, 7
Let c = -29 - -44. Suppose 3*j = 3*r + c, 5*r - 6*j + 16 = -4*j. Let u(f) = -39*f + 8. List the prime factors of u(r).
2, 43
Let k(h) be the second derivative of h**4/12 + 3*h**3 - h**2/2 + h + 4. What are the prime factors of k(-25)?
2, 3, 29
Let g(q) = 153*q - 168. Let u(f) = 14*f + 20*f + 21 + 25*f - 78*f. Let d(s) = -4*g(s) - 33*u(s). List the prime factors of d(4).
3, 13
Let g = -176 - -177. List the prime factors of (g + 162)/((-1)/18*-9).
2, 163
Let q(s) = 14*s**3 + 5*s**2 - 22*s + 37. List the prime factors of q(9).
2, 5, 11, 19
Let u(b) be the second derivative of -9*b**2 + 0 + 1/12*b**4 - 2*b - 3/2*b**3. What are the prime factors of u(15)?
2, 3
Suppose -4*l - 780 = -8*l. Let y(u) = -21*u - 47. Let f be y(3). Let x = l + f. List the prime factors of x.
5, 17
Let b(z) = z**3 + 14*z**2 - 2. Let x be 114/(-8) + 6/24. Let v be b(x). Let u(i) = 18*i**2 - 2*i + 1. List the prime factors of u(v).
7, 11
Let y(o) = 208*o - 4. Let m be y(2). Suppose -2*d - 161 = 3*g, -m = d + 4*d - 2*g. Let l = d + 151. List the prime factors of l.
3, 23
Let r be 7/(-4) + 1 - (-45)/12. Suppose -3*g = -0 + 6, v + r*g + 3 = 0. Suppose 6*n - v*n - 153 = 0. What are the prime factors of n?
3, 17
Suppose -199*s + 202*s - 120 = 0. List the prime factors of (-285)/(s/60*1/(-2)).
3, 5, 19
Let t = -88 - -92. Let s be 72/39 + t/26. What are the prime factors of -4 + s + (99 - 3)?
2, 47
List the prime factors of ((-38)/114)/(-2*2/18708).
1559
Suppose -5*z + 40 = 5*q, 0*z + 27 = 3*z + 4*q. Suppose z*r + 467 = 1872. What are the prime factors of r?
281
Suppose -5*x + 525 - 50 = 0. Suppose -4 = 4*c - 4*h, -3*h + 35 = 9*c - 4*c. Suppose -5*y + 479 = -c*n, 0 = -2*y + y + n + x. What are the prime factors of y?
3, 11
Suppose 4*d = -3*i + 26, 3*d - 5*i - 13 + 8 = 0. List the prime factors of 328 + d/(-2) + (-13)/(-26).
2, 163
Let p = 43726 - 29904. List the prime factors of p.
2, 6911
Suppose -987 - 837 = -6*o. Suppose -9*t - o + 1321 = 0. What are the prime factors of t?
113
Suppose 9 = 5*p - 3*r, 5*p - 19 = -4*r + 2*r. Suppose -p*f + 290 = 2*j, -3*f + 16 = 4*j - 558. What are the prime factors of j?
2, 71
Let o(b) = -26*b**3 + 5*b - 2. Let h(z) = 13*z**3 - 2*z + 1. Let j(p) = -5*h(p) - 2*o(p). Let d be j(-1). Let a = 167 - d. What are the prime factors of a?
5, 31
Let n = 588 - 208. Let q be (-44)/33 + n/6. What are the prime factors of -1 - 81/18*q/(-3)?
2, 23
Let x = 8105 - 2686. What are the prime factors of x?
5419
Let d(w) = 137*w - 2. Suppose -11*k + 16 = -7*k. List the prime factors of d(k).
2, 3, 7, 13
Let v be (-30 + 12)*(-2)/9. Suppose l = -l - s + 1163, -v*l + 2*s = -2346. List the prime factors of l.
2, 73
Let f(s) = 233*s**2 - 11*s - 9. Let p(c) = -117*c**2 + 6*c + 5. Let d(n) = 6*f(n) + 11*p(n). Let b be d(1). Let t = b + -52. What are the prime factors of t?
2, 3, 5
Suppose -5*j = -47 + 17. List the prime factors of j/(-4)*1460/(-10).
3, 73
Suppose -1808*l = -1850*l + 3209094. What are the prime factors of l?
3, 25469
Suppose -790 = -30*a + 1400. Let j be (-2)/(-7) + (-397)/(-7). Let d = a - j. What are the prime factors of d?
2
Let c = -213 + 175. What are the prime factors of (8 + c/4)/(6/(-1396))?
349
Let p(u) = -3*u**2 + 2*u + 2. Let r be p(4). Let o = r - -34. What are the prime factors of 20/30*(-366)/o?
61
Let r be (-26)/91 + (-8328)/7. Let h = -617 - r. List the prime factors of h.
3, 191
Let s = 149402 + -104451. What are the prime factors of s?
79, 569
Suppose -4*p - z = -4552 - 6318, 2*z = 4. Suppose -1067 = -2*g - 5*q, 2*q - p = -5*g + 6*q. List the prime factors of g.
541
Let w = 40012 - 60. What are the prime factors of w?
2, 11, 227
Suppose -3*q = 4*b - 7*q - 47804, -3*b + 35860 = 4*q. What are the prime factors of b?
2, 3, 83
Let r(t) = 45*t**2 - 2*t + 2. Let l be r(1). Let q = l - 41. Suppose m - 1 + 7 = -2*w, m + q*w = -14. What are the prime factors of m?
2
Suppose 0 = -2*g + 4*g + 160. Let p = g - -65. What are the prime factors of (5/p)/(1/21*-1)?
7
Let i be -6*(-2 - (-21)/9). Let w(u) = u**2 + 3*u + 3. Let g be w(i). List the prime factors of (6/15)/(g/20).
2
Let i(y) = 101*y - 115. Let c be i(-8). Let g = 1319 + c. List the prime factors of g.
2, 3, 11
Suppose 58 + 38 = 32*t. Suppose u = -4*r + 3326, r + 4*u - 830 = t*u. List the prime factors of r.
2, 13
Let m = -57 + 59. Suppose -4*i = -i - n - 235, 5*i + m*n = 399. Suppose 0 = -5*f + 4*g + i - 21, 0 = 4*f + 4*g - 68. What are the prime factors of f?
2, 7
Let w(h) = -h**3 + 17*h + 7. Let l(z) = -z**3 + z**2 + 9*z - 4. Let u be l(3). Suppose -5*j - 2*d = 41, j - 25 = u*j - d. What are the prime factors of w(j)?
3, 7, 11
Let c(p) = 48*p - 21*p - 33*p - 23*p + 119. What are the prime factors of c(-20)?
3, 233
Let s(p) = -14*p**3 - 4*p**2 + 6*p + 6. Let n be (92/12 + -5)*(-15)/10. What are the prime factors of s(n)?
2, 11, 37
Let g(p) = p**3 + 3*p + 9*p**2 - 4 + 3 + 2*p**2 + 0. Let v(w) = w**3 - 4*w**2 - 15*w + 43. Let x be v(5). List the prime factors of g(x).
2, 3, 29
Let d(i) = -i**3 + 11*i**2 + 12*i + 8. Suppose -4 = -y + 4*l + 9, 0 = -5*y - 5*l + 40. What are the prime factors of d(y)?
2, 139
Suppose -5*j + 6*t + 350490 = 0, -450127 = -5*j - 4*t - 99637. List the prime factors of j.
2, 3, 7, 1669
What are the prime factors of (-3432)/44*(-365)/3?
2, 5, 13, 73
Suppose -33*h = -34*h + v + 6, 0 = -v - 1. Suppose h*o - 1835 = -5*f, -3*f + 6 = 3. What are the prime factors of o?
2, 3, 61
Let n(o) = 165*o - 2863. What are the prime factors of n(100)?
13, 1049
List the prime factors of (-627)/(-418) - (-14879)/2.
7, 1063
Suppose 0 = -5*s + 5*m - 645, 0*s + 3*s + m = -375. Let j = 340 - s. What are the prime factors of j?
2, 233
Let i(f) = 5*f - 52. Let o(j) = -j + 13. Let u(c) = 2*i(c) + 9*o(c). Let n be u(7). Suppose -4*p - 5*w + 351 = -0*w, -n = 4*w. What are the prime factors of p?
2, 47
Let b = 446 + -335. Let f = b + 777. List the prime factors of f.
2, 3, 37
Let v(d) = d**3 + d**2 - 10*d - 1. Let j be v(3). Suppose 4*m = 3*i - 1508, -j*i - 248 = 2*m - 2744. List the prime factors of i.
2, 5
Let l(h) = h**3 + 24*h**2 - 5*h - 54. Let k be l(-24). Suppose k*v - 59962 = -9736. List the prime factors of v.
761
Let k be -2 + -1*80/(-1 + -3). Suppose -8*a - 338 + k = 0. Let h = -19 - a. List the prime factors of h.
3, 7
Let d = 2 - -3. Let m(n) = 4*n**2 - 108*n + 86. Let a be m(28). Suppose 381 = 2*b - d*q, -b + a = -4*q + 3*q. List the prime factors of b.
7, 29
Let i = 161 + -152. List the prime factors of (i/(-2) - -3)/(54/(-38484)).
1069
Let z be 5/35*-2 + (-16)/(-7). Suppose 108 = z*o + 2*o. Let v = o + 17. List the prime factors of v.
2, 11
Let c(z) = 37*z**2 - 5*z + 6. Suppose 5*a - 15*a = -30. List the prime factors of c(a).
2, 3
Suppose -o + 5*o = 0. Suppose o = -3*x + 7 + 2. Suppose x = 3*j, c - 138 = -5*j - 0*j. What are the prime factors of c?
7, 19
Let h(c) = 30*c**2 + | {
"pile_set_name": "DM Mathematics"
} |
n**(-76/15)
Simplify (b**(1/4)*b)/(b/b**6)*b**5*(b**(1/6)/b)/b*b assuming b is positive.
b**(125/12)
Simplify o**(-2/21)/(o*o*o**(2/3)*o)*(o**(2/9))**(-7) assuming o is positive.
o**(-335/63)
Simplify r**(-19)/(r/r**(2/13)) assuming r is positive.
r**(-258/13)
Simplify i**3/((i*i**(2/7))/i) assuming i is positive.
i**(19/7)
Simplify ((b**(-2))**7)**(-5) assuming b is positive.
b**70
Simplify ((g*g**(2/11)*g)/g)**(-15) assuming g is positive.
g**(-195/11)
Simplify f**(2/13)*f/f**3*f**4/(f*f**(-1/2)*f) assuming f is positive.
f**(17/26)
Simplify j*j**(5/6)/j*j/(j*j/(j*(j/j**(-6))/j*j))*(((j/j**(2/7))/j)/j)**(-43) assuming j is positive.
j**(2651/42)
Simplify z/((z/(z*z*z**(-5/7)))/z)*z**(-3)*z*(z*(z*z**0)/z*z)**(-3/2) assuming z is positive.
z**(-19/7)
Simplify (x**8*x/(x*x/(x/((x*x**(3/14))/x))))**(-25) assuming x is positive.
x**(-2725/14)
Simplify (b**(-4)*b**(-1/3))/(b**3*b**6) assuming b is positive.
b**(-40/3)
Simplify (h/h**(-3/5))/(h**(4/15)*h*h) assuming h is positive.
h**(-2/3)
Simplify (h**7*h**6/h)/(h**(-2)*h/(h/(h*h/((h**(-5/4)*h)/h*h)))) assuming h is positive.
h**(47/4)
Simplify (l**(-1/7)/(l/((l**(1/5)/l)/l)))/((l*l/(l**8/l))/l**(-2)) assuming l is positive.
l**(2/35)
Simplify (q**(-2))**44 assuming q is positive.
q**(-88)
Simplify p**(2/13)*p*(p/(p*p**(-4)/p*p))/p*(p**(-1))**(-20) assuming p is positive.
p**(314/13)
Simplify q**(2/23)/(q**(-3/4)/q) assuming q is positive.
q**(169/92)
Simplify (d**(1/2)*d)**(1/10)*(d**(3/4)/d*d)/(d**(2/17)/d*d) assuming d is positive.
d**(133/170)
Simplify s*(s/s**(1/4))/s*(s*s/(((s**(2/47)/s)/s*s)/s))/s*s assuming s is positive.
s**(885/188)
Simplify (g**(2/9))**38/(g*g**(1/4)*g*g)**(1/14) assuming g is positive.
g**(4139/504)
Simplify o**(-10)/(o**(-26)*o) assuming o is positive.
o**15
Simplify (v*v**(2/21))/(v*v*v**3) assuming v is positive.
v**(-82/21)
Simplify ((o/o**1)/(o**(-1)/o))**(-44) assuming o is positive.
o**(-88)
Simplify (q**(1/3))**38/(q**(-1)/(q*q**8/q)) assuming q is positive.
q**(65/3)
Simplify (y/(y**17*y))/y*y*(y/(y*y**(-9))*y)/y assuming y is positive.
y**(-8)
Simplify (n**(1/6)/n)/(n/((n/n**(-16))/n)) assuming n is positive.
n**(85/6)
Simplify ((t**(-8)*t)/(t/(t/(t*t**(2/39)))))**(-4/13) assuming t is positive.
t**(1256/507)
Simplify (j**(-3)/j)**17 assuming j is positive.
j**(-68)
Simplify (r**(-1/4))**(13/3)*(r**0)**(-2/11) assuming r is positive.
r**(-13/12)
Simplify (c**(-6/11)*c*c**1)/((c*c/(c/(c/(c/c**(3/2))*c)))/c**(-4/9)) assuming c is positive.
c**(-493/198)
Simplify (q/(q*q*(q*q/(q/(((q**2*q)/q)/q)*q)*q)/q*q))**(5/18)*(q*q*q**(1/10))/(q/(q/(q*(q*q**(-3)*q)/q*q))) assuming q is positive.
q**(19/15)
Simplify f**(2/9)*f**(-1)*f*(f**4/f)/(f/((f/((f*(f/(f*f/((f*f**3)/f)))/f*f*f)/f))/f)) assuming f is positive.
f**(-7/9)
Simplify (g**(-25))**(-1/24) assuming g is positive.
g**(25/24)
Simplify (t/((t*t*t**(-22))/t))/t*t*t*t**(-1/4) assuming t is positive.
t**(91/4)
Simplify x**(-3/13)*x**10/x assuming x is positive.
x**(114/13)
Simplify (d*d**(1/15))/d**(-1)*(d**(-8)/d)/d*d**(1/3) assuming d is positive.
d**(-38/5)
Simplify (q**(1/2))**(2/3)*(q/(q**(-2)*q))/q*q**(-6)/q assuming q is positive.
q**(-17/3)
Simplify (c*c**(-3/4))/(c/c**(-1/53)) assuming c is positive.
c**(-163/212)
Simplify ((o**(2/3)*o)/(o/((o*o*o**(-4/15)/o*o*o)/o)))**(-49) assuming o is positive.
o**(-588/5)
Simplify (v**(1/8)*v*(v**(6/7)/v)/v)/(v*v*v**(-1/4))**(-1/19) assuming v is positive.
v**(79/1064)
Simplify ((z/z**(6/7)*z)/(z/((z/(z*z/z**4))/z)))/((z/z**(2/11))/z**(1/4)) assuming z is positive.
z**(485/308)
Simplify (h/(h/(h*h**(1/11)/h)))/(h/(h**(-14)*h)*h) assuming h is positive.
h**(-164/11)
Simplify (n*n/(n**5/n))/(n**(-2)/n)*(n*n**(-1)*n*n)**(-39) assuming n is positive.
n**(-77)
Simplify (x**(-1/5)*x*x*x**(-9))/((x*(x/(x/((x*x**(1/3))/x)*x))/x*x)/(x*x**(1/4)/x)) assuming x is positive.
x**(-437/60)
Simplify ((q**(-2)/q)/q*q*q**(-1/2)*q*q)**(-41) assuming q is positive.
q**(123/2)
Simplify (s/s**(1/3))/s**(-10/9) assuming s is positive.
s**(16/9)
Simplify (n**(-2/7))**17*n**2*n**(-3/4) assuming n is positive.
n**(-101/28)
Simplify (o**(-2/7)/o*o)**(-4/11)/((o/(o**(2/9)/o))/o*o**(2/27)/o) assuming o is positive.
o**(524/2079)
Simplify (n/n**(-2/37))/n**13 assuming n is positive.
n**(-442/37)
Simplify (g**(-1/8)*g*(g/g**(3/7))/g*g)/(g**(-5/6)*g*g**(2/11)) assuming g is positive.
g**(2029/1848)
Simplify ((s/(s*s*s*s**(-2)/s*s*s*s))/(s*s/(s*s**0)*s))**(12/5) assuming s is positive.
s**(-48/5)
Simplify (g*g*g**(-9)/g*g**(-2/5))**(-20) assuming g is positive.
g**168
Simplify (k*k*k*k/(k**(-4/7)/k*k)*k*k*k**(-9))**(-16) assuming k is positive.
k**(272/7)
Simplify i**(-1)/i**(-1/2) assuming i is positive.
1/sqrt(i)
Simplify ((b/(((b*b**(-2/9)/b)/b)/b))/(b/(b/(b**3*b))))**(-5/12) assuming b is positive.
b**(35/108)
Simplify w**(-18)/w*w/(w*w**(-2/69)*w*w) assuming w is positive.
w**(-1447/69)
Simplify t/(t*t**(-9))*t*t**(1/6)*t**(1/2)/(t**5/t) assuming t is positive.
t**(20/3)
Simplify ((v*v**(-4/11)*v)/v*v*(v**(-8)/v)/v)**(-7/5) assuming v is positive.
v**(644/55)
Simplify (c**1)**(-7)/(c**(-1))**(23/5) assuming c is positive.
c**(-12/5)
Simplify t**(-2/5)*t**(-2/3)*(t**1/t*t)/(t**4*t) assuming t is positive.
t**(-76/15)
Simplify (m**(-2/7)/m)**(10/9)*m**(-7)/m**0 assuming m is positive.
m**(-59/7)
Simplify (b**10/b)**(-2/39) assuming b is positive.
b**(-6/13)
Simplify (k*k**(-21))/(k/(k**(3/11)/k)) assuming k is positive.
k**(-239/11)
Simplify (n*n**(2/15)*n*n*n**(4/9))**(-32) assuming n is positive.
n**(-5152/45)
Simplify p**(3/14)*(p**(-3/13)/p)/p assuming p is positive.
p**(-367/182)
Simplify (o*o**(-3))/o*o**(-4)*o/(o*o/o**(-1))*o*o**1/o*o assuming o is positive.
o**(-7)
Simplify (p**8/(p**(-10)/p*p))**50 assuming p is positive.
p**900
Simplify (d*d**(-2))**36*d**6*d*d/d**(-3/2)*d*d assuming d is positive.
d**(-49/2)
Simplify ((o**(3/10)/o)/o*o)**22 assuming o is positive.
o**(-77/5)
Simplify (c**(-5/6))**(8/3) assuming c is positive.
c**(-20/9)
Simplify (y**(2/13)*y*y/y**(3/4))**(2/7) assuming y is positive.
y**(73/182)
Simplify ((q/q**3*q)**(3/7))**(-1) assuming q is positive.
q**(3/7)
Simplify ((r*r/r**(2/5))/r)/r*r**10*r assuming r is positive.
r**(53/5)
Simplify ((x**(-1/2)/x)/x)**25 assuming x is positive.
x**(-125/2)
Simplify (z/(z/(z*z**(-3/5))*z))**(1/20) assuming z is positive.
z**(-3/100)
Simplify (u/(u**(-10)/u)*u)**(11/2) assuming u is positive.
u**(143/2)
Simplify (a**29)**(4/25) assuming a is positive.
a**(116/25)
Simplify (j/(j*j/j**(4/5)*j))/j*j**(-11) assuming j is positive.
j**(-66/5)
Simplify (p/(p*p**0))**(1/26)/(p**(-2))**(1/57) assuming p is positive.
p**(2/57)
Simplify (c*c**(-3))/(c/(c*c/(c/c**(-5))))*c**2*c**(-2/3) assuming c is positive.
c**(-17/3)
Simplify (k**(2/25))**23 assuming k is positive.
k**(46/25)
Simplify (u**(3/2)*(u/(u*u*u/(u/u**(-2))))/u)**37 assuming u is positive.
u**(111/2)
Simplify b**20*b*b**(-35) assuming b is positive.
b**(-14)
Simplify w*w**1/w*w**(-4)*w*(w**2*w)**(-7) assuming w is positive.
w**(-23)
Simplify (j**(-8)/(j*j**(-1/9)))/(j**2)**(-27) assuming j is positive.
j**(406/9)
Simplify (h*h**(4/13))**(-28) assuming h is positive.
h**(-476/13)
Simplify u*u/(u/(u/(u**4/u)))*u/(u/(u/u**(-4/9)))*u**(-3)*u*u/u**(-2/7) assuming u is positive.
u**(-17/63)
Simplify (t/(t/t**(-2/15))*t*t**(2/19)/t)/((t**(-3/2)/t)/(t*t*t/((t/t**(-1/5))/t)*t)) assuming t is positive.
t**(715/114)
Simplify (a**(-3/5)*a/(a**1*a))/(a**5*a*a**1*a) assuming a is positive.
a**(-48/5)
Simplify p/p**(4/7)*p*p**(-3)*(p**0)**29 assuming p is positive.
p**(-11/7)
Simplify ((t**(-1/3)*t)**32)**36 assuming t is positive.
t**768
Simplify (g*g**12)**15 assuming g is positive.
g**195
Simplify (l/(l**10*l*l)*(l*l*l**(1/3))/l)**(9/10) assuming l is positive.
l**(-87/10)
Simplify (s*s/(s/(s*s**(5/4))))/s**(-3)*(s*s*s**(2/7))**(3/22) assuming s is positive.
s**(2021/308)
Simplify (((k/(k*k*k**(4/5)))/k)/k*k*k/(((k/k**(-2/9))/k)/k)*k)**(-34) assuming k is positive.
k**(34/45)
Simplify (n/(n*n**(-3/8)))**(-1/18) assuming n is positive.
n**(-1/48)
Simplify (v**(-5/3)/((v*v*(v/v**(-1/5))/v*v)/v))/(v*(v**(-1)*v)/v)**28 assuming v is positive.
v**(-58/15)
Simplify (o**(-1/3))**(5/7)*o**(-5/6)/o**(-2/17) assuming o is positive.
o**(-227/238)
Simplify p**(-17)/(p**(-5/6)/p) assuming p is posit | {
"pile_set_name": "DM Mathematics"
} |
than -521?
False
Let f(m) = 2*m + 3. Let r be f(0). Suppose -4*c + 2*g = -2, -2*c + 5*c = g + r. Suppose 3*w + 150 = 4*t, -4*w + 0*w = c*t - 64. Which is smaller: 35 or t?
35
Let m be (-8)/52 + ((-1188)/52 - -3). Let u = m + -113. Is u < -134?
False
Let a = -45.68 + -0.32. Let c = -46.4 - a. Let x = -1.5 - c. Which is greater: 2/5 or x?
2/5
Let g = 14 - 12. Suppose -2*t + 5*o + 6 = -1, 4*t = -g*o + 2. Is -2/335 at least t?
False
Suppose -14*v + 192 = 2*v. Let x be (-196)/22 - v*15/90. Is x less than -12?
False
Let r = -467 + 406. Let x be ((-3)/(-7))/((-183)/r). Let y = -0.08 + 0.11. Are x and y equal?
False
Let w = -505/28 - -128/7. Let x be (-1528)/12 - (-4)/(-6). Which is smaller: w or x?
x
Let a = -146 + 152. Let m = -36 - -35.82. Let q = 2.18 + m. Which is bigger: q or a?
a
Suppose -895 + 502 = -r. Suppose 4*d + 180 = 2*p, -2*p - 2*p - 3*d = -r. Which is smaller: p or 0?
0
Let h be (-1)/(-3) - (14210/462)/35. Which is smaller: h or -218?
-218
Let s = -4 - -6. Let p be 41/15 - (-31800)/(-13250). Is p <= s?
True
Suppose 0 = 2*x - 5*t + 15 + 4, 9 = -2*x + 3*t. Which is greater: x or 16?
16
Let w = -0.5631 - -0.0941. Let f = -0.169 - w. Which is greater: f or 2/303?
f
Suppose -966 = -2*o - w + 467, o - w - 721 = 0. Is o at least 720?
False
Let l = -4769 - -4663. Which is bigger: -110 or l?
l
Let p = -0.0915 + 361.0915. Let q = p + -486. Is 0 not equal to q?
True
Let n(p) = p + 4. Let c be n(-2). Suppose 23*f + 8 = 25*f. Suppose f = -2*j + 6. Is j bigger than c?
False
Let j be 0 - 1*(-6)/(-26). Let c be -1*(5 - 4) - 746/(-4). Let f = -186 + c. Are j and f equal?
False
Let c = -64942/5 - -12990. Does 3.53 = c?
False
Let o = 38143/265329 + -86/837. Which is bigger: 0 or o?
o
Suppose 0 = -4*f + 6 + 2. Let j(v) = -v**3 + v - 2. Let s be j(f). Suppose 0 = -8*c - 63 - 1. Is s at most as big as c?
True
Let r(d) = -d**2 + 6*d - 4. Let o be r(4). Let w be (-42)/21*(o + (-4 - -2)). Let i be w/12 - 16/(-12). Is 8/15 at least i?
False
Let u = 6852 + -8670. Is -1819 at least as big as u?
False
Let j = -36/31 + -874/155. Let l(v) = -118*v**2 - 1. Let y be l(-1). Let d = y - -477/4. Which is smaller: j or d?
j
Let b = -1473239/371 - -3971. Let i = -1/65899734 + -2630496046/110019605913. Let o = i + b. Which is greater: 0 or o?
0
Let h = -165 + 181.4. Let m = 15.6 + h. Which is greater: m or 0.2?
m
Let y = -190 - -102. Let i = 141 + y. Let t = i - 51. Which is smaller: t or 3/5?
3/5
Let u = 3919 + -317446/81. Is -1 >= u?
False
Suppose 0 = 2*o + 211 + 181. Let u = -196 - o. Is 15/37 greater than or equal to u?
True
Let k be 21/(-14)*4584/(-4). Is k at most as big as 1722?
True
Let p be 1694/(-6) - -5*58/(-435). Is p less than -285?
False
Let o = -20535 + 349331/17. Which is smaller: 13 or o?
13
Let q = -1036.8 + 1028.8. Which is smaller: q or 91/5?
q
Suppose -2*q = 5*q - 315. Let d = q + -41. Let w = -26 - -27. Is w >= d?
False
Let o = 73498 + -2940447/40. Let q be 469/(-36) - (-2)/(-9). Let k = o - q. Is -1 at least k?
False
Let c = 0 + 0. Let m be (-6 - 432/(-44)) + 2/11. Let g be 4/(-3*m) - 1121/(-2679). Which is bigger: c or g?
g
Let l be 471/(-126822)*-24 - 304/3496. Which is bigger: -10 or l?
l
Suppose -3*v - 828 = -168. Which is bigger: v or -219?
-219
Let j(i) = i**2 + i - 1. Let o be j(2). Suppose 13 + 47 = 6*g. Let r be (0 - 5/1) + g + -1. Which is greater: o or r?
o
Let t be -9*290/(-135) - -6. Let q be (10 - 1)*24/9. Is q less than t?
True
Let v = -311 + 328. Suppose -v*t = t + 486. Are t and -31 non-equal?
True
Let f(j) = -2*j - 22. Let b(l) = -2*l**3 + l**2 + 2*l - 3. Let t be b(2). Let v be f(t). Suppose -3 = 2*w + 5*h, w - h + v*h = 2. Which is greater: -2/9 or w?
w
Let j be (-68)/(-3) + (-1)/(-3). Let m = 80 - 58. Let v = m - j. Which is greater: -3 or v?
v
Suppose -185 = 5*h + 4*y - 67, 2*h + 40 = -4*y. Let z = -277 - -280. Let p = h + z. Which is greater: p or -24?
p
Suppose -102*r = -99*r - 6. Suppose -9 + 7 = r*j. Let x = -519/14 - -37. Are x and j unequal?
True
Let k be 330/(-4)*15/((-270)/24). Suppose -15*o = -10*o - k. Let i be 24/106*o + -5. Which is greater: i or -1?
i
Let v(l) = 11*l**3 - 140*l + 272. Let g be v(2). Is 77 less than or equal to g?
True
Let f(l) = l**3 - 11*l**2 - 8*l - 30. Let c be f(13). Let p = 142 - c. Is p greater than or equal to -62?
True
Let a = -11292 + 22585/2. Is a < -6458?
False
Let w = -0.2 - 0.8. Suppose -5*q - 152*y + 156*y - 581 = 0, y + 3*y = -4. Which is smaller: w or q?
q
Let l be (-3)/((-9)/6)*-1. Let b(d) = 2*d**2 + 12*d + 11. Let m be b(-10). Let i = m + -83. Which is smaller: l or i?
l
Let t be (-3)/((-66)/32) - 1. Let z = -1618 - -1633. Let q be (5/z)/(6*(-2)/(-36)). Which is smaller: t or q?
t
Suppose 0 = -4*l - 3 - 13. Let s be 13 - ((-495)/(-612))/(3/60). Are l and s nonequal?
True
Let m = -0.0346 + 244.0346. Let l = m + -239. Is -0.13 <= l?
True
Let l = 1491 + -1438. Which is smaller: l or -1/13?
-1/13
Let n(u) be the second derivative of u**3 + 24*u + 0 - 1/12*u**4 - 12*u**2. Let p be n(0). Is -24 < p?
False
Let z be (34/(-632))/((-59)/(-1416)). Which is smaller: -2 or z?
-2
Let n = 60 + -52. Let q be (-15)/102*n/30. Let i(m) = -m - 1. Let d be i(0). Which is smaller: q or d?
d
Let f = 37 - -34. Let w = f - 74. Let r = -6473/6 - -1076. Which is smaller: w or r?
w
Let a be 6/10*5/(-28). Suppose -24*k = -29*k - 1195. Let l = 239 + k. Which is greater: l or a?
l
Let w be (-14)/(-4) + -3 + (-8)/6. Let h be 2*((-8)/(-12) - 131/(-6)). Let t be 2/(-15) - (-6)/h. Which is bigger: w or t?
t
Let r(b) = -2*b**3 - 10*b**2 - 3*b - 16. Let g be r(-5). Let y(t) = -t**2 - 6*t - 13. Let u be y(-5). Which is bigger: g or u?
g
Let o be 3/((-9)/2)*(-6)/1. Suppose 27 = 3*d - 3*t, o*d - 12 = t - 5*t. Which is smaller: 46/7 or d?
d
Suppose -3*j = 9*s - 7*s - 12, -4*j = 2*s - 16. Which is smaller: -0.1283 or s?
-0.1283
Let f = 13804 - 10979. Which is bigger: f or 2/13?
f
Let h = 13588 + -19432. Which is smaller: -5843 or h?
h
Let u = 8.27 - 8.17. Let d = 0.04 + 24.96. Is d < u?
False
Let b = 15/2 + -37/6. Let r = 10865 - 10857. Is r <= b?
False
Let w = -354027778544616 + 697823800261490178635/1971099. Let t = -775/8919 + w. Let b = t + 210/17. Is b at most 2?
True
Let q be (-10 + (-7)/(364/(-524)))*(170 + 0). Which is smaller: q or 12?
12
Suppose -1403*h = -1375*h - 4900. Let m be 173*(2 + -4 + 3). Which is greater: m or h?
h
Let c = 11.1 + -12.5. Let f = -1.2 - c. Let q = 27.99 - 28. Is q not equal to f?
True
Let i(m) be the third derivative of m**4/24 + 53*m**3/6 - 6*m**2. Let n be i(-21). Let l = 33 - n. Which is bigger: l or 2/9?
l
Suppose -42*z + 4680 = 49*z - 127*z. Which is smaller: -139 or z?
-139
Suppose 2*f - 5*f = 0. Let n = 6802216/27 + -251934. Which is bigger: n or f?
f
Let h be 76/20 - (4/5 - 1). Suppose h*x + x - 285 = -5*d, -4*d + 2*x = -210. Are 54 and d equal?
True
Let w = -18 + 19. Suppose -4*f + 0*f + 5*d = -w, 0 = -2*f - 5*d + 23. Suppose 68 = -f*k - 28. Is k less than 3?
True
Let a be 7 - (-2076)/(-186) - -4. Let h = a - -69/620. Which is greater: -9 or h?
h
Let n be (-1)/422*(-200)/(-850). Which is smaller: n or 0?
n
Suppose 3 + 17 = -5*d. Let k = d + -22. Let b be 6/(-24) + 2850/(-120). Which is bigger: k or b?
b
Let p = -35369/4051775 + 36/4225. Is p != 0?
True
Let l = 263 - 180. Let f = 82.13 - l. Which is bigger: f or -0.1?
-0.1
Suppose 5*d - 31 = 3*a - 138, -5*d + a = 109. Let c be ((-1)/(-2))/(0 - (-5)/(-250)). Let p be (4 - 3) + c + 4/2. Is p equal to d?
True
Let m = 151.64 + -145.261. Let d = m - 6.4. Is -2/5 smaller than d?
True
Let y = -4449 + 4453. Let x(d) = d**3 - 8*d**2 + 8*d - 7. Let v be x(7). Let l = -3 - v. Is l != y?
True
Let c = -20106 - -20162. Is c at most -198?
False
Let k be (1 + -1 - (-70)/21)*6. Suppose -3*y + k = y. Suppose -y = 5*n - 4*c, -3*c + 8*c = 0. Is n at least -5?
True
Let o = -0.03 + -0.16. Let p = 0.19 + o. Let r be (-27)/(-21) + 2 + -3. Which is greater: r or p?
r
Suppose 0 = 4*n - 2*w + 8570, 21*w = 32*w + 33. Are n and -2144 nonequal?
False
Let w be ((180/25)/(-4))/((-1017)/(-1695)). Suppose -2*q - 3*q = 90. Let m be 4/q + (-14)/18. Is w less than or equal to m?
True
Let y = -10819 + 205291/19. Is y at most -14?
True
Suppose 0 = -3*p + 3*q + 12, -5*p - 5 - 5 = q. Let w be (p + 6 + -6)*1. Which is bigger: w or 3/70?
3/70
Let j = -863.91 - -864.62 | {
"pile_set_name": "DM Mathematics"
} |
) - 4*i(v).
4*v - 1
Let y(g) = 4*g - 2. Let p = 943 - 937. Let h(j) = -j**2 + 9*j - 5. Determine p*h(m) - 14*y(m).
-6*m**2 - 2*m - 2
Let r(n) = -7*n**2 + 7*n - 4. Let s be (13 + -12)/((-2)/(-12)). Let i(m) = 4*m**2 - 4*m + 2. Determine s*r(z) + 11*i(z).
2*z**2 - 2*z - 2
Let r(k) = -6. Let a(v) = 7. Let g(o) = 5*a(o) + 6*r(o). Let i(y) = 2*y + 2. Let h = 439 - 442. Give h*g(q) - i(q).
-2*q + 1
Let t(h) = -17*h. Let m(r) = 52*r. What is 4*m(a) + 11*t(a)?
21*a
Let i(x) = -4*x + 93. Let t(o) = -3*o + 47. Let s(l) = 2*i(l) - 5*t(l). Let k(z) = -z + 6. Give 49*k(a) + 6*s(a).
-7*a
Let g(c) = -11*c**3 - 5*c**2 - 5. Let b(d) = 39*d**3 + 18*d**2 + 18. Let t(m) = 3*m - 3. Let u = 10 + -3. Let p be t(u). Give p*g(j) + 5*b(j).
-3*j**3
Let a(b) = 4*b + 2. Let o be 75/20 - ((-2)/8 + 0). Let q(x) = 0 - 8*x + o + 15*x. Give -11*a(l) + 6*q(l).
-2*l + 2
Let l(o) = 7*o**3 - 254*o**2 - 6*o + 8. Let d(j) = 15*j**3 - 509*j**2 - 13*j + 17. Calculate -6*d(u) + 13*l(u).
u**3 - 248*u**2 + 2
Let b(q) = -145*q + 70. Let p(f) = 12*f - 6. Give 3*b(u) + 35*p(u).
-15*u
Let l(i) = -49 + 35 - 6*i**2 + 19 + 3*i - 9*i**2. Let z(s) = -s**2 + s + 1. Give -l(x) + 5*z(x).
10*x**2 + 2*x
Let r be (0/6)/(2 - 6). Suppose r = d - 2*l - 2*l + 9, d + l - 1 = 0. Let m(t) = t + 1. Let a(k) = 5*k + 4. Determine d*a(f) + 2*m(f).
-3*f - 2
Let c be 84/(-42) + (2 - -1). Let p(l) = -3*l + l**2 - l**3 - 4*l**2 - 3 + 2*l**3. Let h(y) = y**2 + y + 1. What is c*p(t) + 3*h(t)?
t**3
Let x(q) = q**2 - q + 1. Let h(w) = 24*w**2 - 10*w + 10. Let g(n) = n + 9. Let v be g(-8). Calculate v*h(u) - 10*x(u).
14*u**2
Let v(g) = -5 + 0 - g + 2 + 2. Let h = -441 - -442. Let q(k) = -k**2 - 6*k - 4. Give h*q(p) - 4*v(p).
-p**2 - 2*p
Let n(b) = -32*b**2 + 40*b + 40. Let y(s) = -17*s**2 - s - 1. Let m(x) = 11*x**2 + x + 1. Let c(o) = -3*m(o) - 2*y(o). What is 80*c(r) + 2*n(r)?
16*r**2
Let c(a) = -2*a + 11. Let t(b) = 1. Give c(x) - 4*t(x).
-2*x + 7
Let p(i) = -4*i**3 - 2*i**2 - 8. Let n(y) = 11*y**3 + 6*y**2 + 23. Suppose -16*j - 36 = -22*j. Let x(g) = g**2 - 7*g - 1. Let q be x(9). Give j*n(b) + q*p(b).
-2*b**3 + 2*b**2 + 2
Let j(x) = -5*x**3 + 8*x**2 + 5*x - 9. Let d be j(2). Let t(i) = 10*i**3 - 4*i**2 + 7*i - 7. Let y(r) = -5*r**3 + 2*r**2 - 3*r + 3. Give d*y(b) - 3*t(b).
5*b**3 - 2*b**2
Let c(s) = 17*s**2 - 2*s - 4. Let v(h) = -h**3 + 52*h**2 - 6*h - 14. What is -7*c(r) + 2*v(r)?
-2*r**3 - 15*r**2 + 2*r
Let y(b) = -b - 2. Let o(k) = 47*k - 5. What is 2*o(u) - 4*y(u)?
98*u - 2
Let r(h) = 3*h**2 - 3*h - 4. Suppose -2*o + 5*p + 17 = 0, -4*o + 2*p + 0 + 10 = 0. Let j(y) = y**2 - 1. Give o*r(i) - 4*j(i).
-i**2 - 3*i
Let n(a) = -a + 7 - 9 + 4. Let u(r) = r**2 + 9 - 9. What is n(c) - 2*u(c)?
-2*c**2 - c + 2
Let r(i) = -i**2 + i. Let u be ((-110)/35)/(2/(-14)). Let x(s) = -18*s**2 + 11*s. What is u*r(o) - 2*x(o)?
14*o**2
Suppose -n - 4*n + 10 = 0. Let b(w) = 11*w**2 + 14 + n + 17*w + 1. Suppose -3*r - 5*r + 48 = 0. Let x(k) = -5*k**2 - 8*k - 8. Give r*b(h) + 13*x(h).
h**2 - 2*h - 2
Let c(o) = -o - 4. Let y(x) = -5. Let a = 173 - 178. Give a*c(p) + 4*y(p).
5*p
Let y(s) = -2*s**3 + 5*s**2 - s + 26. Let w(x) = 4*x**3 - 7*x**2 + 2*x - 39. Calculate 5*w(u) + 7*y(u).
6*u**3 + 3*u - 13
Let w(a) = 941*a**3 - 4*a. Let r(v) = -2824*v**3 + 14*v. What is -2*r(s) - 7*w(s)?
-939*s**3
Let z(i) = -5 + 2 - 2 - i + 3. Let r(y) = -y - 5. Let p(v) = -v - 2. Let a be p(-4). Calculate a*r(s) - 5*z(s).
3*s
Suppose 0 = -5*r - 3*b + 61, 0*r + 2*r - 4*b - 14 = 0. Let n(o) = 4*o**3 + 11*o**2 + 11*o - 11. Let p(y) = -y**3 - 4*y**2 - 4*y + 4. Calculate r*p(g) + 4*n(g).
5*g**3
Let r(y) be the second derivative of -5*y**4/12 + y**3/2 + 3*y**2 - 17*y. Let m(i) = 15 - 1 - 44*i + 50*i - 11*i**2 - 1. What is -4*m(n) + 9*r(n)?
-n**2 + 3*n + 2
Let g(z) be the first derivative of -z**4/2 - 7*z**3/3 + 3*z - 198. Let d(a) = -2*a**3 - 6*a**2 + 3. Calculate -6*d(l) + 5*g(l).
2*l**3 + l**2 - 3
Let y(v) = 13*v**2 + 7*v - 26. Let m(p) = -6*p**2 - 4*p + 13. Give 7*m(f) + 4*y(f).
10*f**2 - 13
Let f(a) = -a - 1. Let k(t) = 5*t + 122. Determine -6*f(m) - k(m).
m - 116
Let w(i) = 333*i**2 + 9*i + 11. Let q(f) = 166*f**2 + 5*f + 6. What is 11*q(m) - 6*w(m)?
-172*m**2 + m
Let o = 1918 - 1924. Let h(x) = 7*x**2 - 6*x - 6. Let g(n) = 56*n**2 - 49*n - 49. Give o*g(y) + 49*h(y).
7*y**2
Let c(z) = -z**2 - 2*z + 1. Let t(q) = -2*q**3 - 3*q**2 + 3*q - 1. What is -3*c(k) - t(k)?
2*k**3 + 6*k**2 + 3*k - 2
Let q(j) = 4*j**2 + j - 4. Let h(r) = -r**3 - 5*r**2 + 35*r + 80. Let l be h(-8). Let a(k) = 12*k**2 + 3*k - 11. Calculate l*q(b) + 3*a(b).
4*b**2 + b - 1
Let a(r) = 2*r - 3. Let f(v) = -1476*v + 1476. Give -492*a(z) - f(z).
492*z
Let x(d) = -d. Let t(v) = 32*v. Suppose l - 412 = -388. Calculate l*x(u) + t(u).
8*u
Suppose -4*d - 9 = 3. Let y = d + 8. Let z(m) be the second derivative of -m**3/3 - 2*m - 5. Let b(t) = -t. Give y*b(r) - 3*z(r).
r
Let c(p) = -2*p**2 + 12*p - 3. Let x(f) = -f**2 + 8*f - 2. Let b be (4 + -2)*2 + (-9 - 3). What is b*x(o) + 5*c(o)?
-2*o**2 - 4*o + 1
Let q(p) = -p - 2. Let d(u) = 48*u - 9. Calculate -d(o) + 5*q(o).
-53*o - 1
Let i be (-16)/(-6)*(-6)/(-4). Let m(v) = v**2 + v + 1. Let o(y) = -7*y**2 + y + 8. Let j(h) = m(h) - o(h). Let w(s) = -7*s**2 + 6. Give i*j(b) + 5*w(b).
-3*b**2 + 2
Let h(a) = a**2 + 0*a**2 - 2 + 7*a - 4*a**2. Let y be (-3)/(-12) - (-27)/(-12). Let v(n) = -7*n**2 - 1 - n**2 + 12*n**2 - 5*n**2 + 3*n. What is y*h(x) + 5*v(x)?
x**2 + x - 1
Let o(c) = 1. Let n(t) = 48*t + 3. What is n(u) - o(u)?
48*u + 2
Let u(i) be the second derivative of 3/2*i**2 + 13*i + 0*i**3 - 1/6*i**4 + 0. Let l(q) = -5*q**2 + 7. Give -3*l(f) + 7*u(f).
f**2
Let a(z) = -4*z**3 - 42*z - 3. Let m(y) = -7*y**3 - 83*y - 5. Determine 10*a(t) - 6*m(t).
2*t**3 + 78*t
Suppose -h - 6*h = -21. Let i(m) = -h + 11 - 5 + m**2. Let r(n) = -2*n**2 - n - 4. Calculate 3*i(g) + 2*r(g).
-g**2 - 2*g + 1
Let m(l) = 51*l - 6. Let k(z) = 33*z - 4. Calculate 8*k(r) - 5*m(r).
9*r - 2
Let z(g) = -13*g**3 - g - 35. Let a(o) = 3*o**3 - 1. Give 3*a(n) + z(n).
-4*n**3 - n - 38
Let q(c) = -c**2 + c + 3. Let d(g) = 5*g**2 - 79*g - 16. Calculate d(i) + 6*q(i).
-i**2 - 73*i + 2
Let m(s) be the first derivative of 9*s**4/4 - 11*s**2/2 - 2*s + 23. Suppose -4 = j + 2. Let f(h) = 5*h**3 - 6*h - 1. Determine j*m(u) + 11*f(u).
u**3 + 1
Let l = -572 + 547. Let z(x) = -30*x**3 + 25*x. Let w(m) = m**3 - m. Give l*w(b) - z(b).
5*b**3
Let l(z) = 4*z**2 - 3*z + 10. Let o = -66 + 64. Let q(n) = n**2 - n + 3. Give o*l(r) + 7*q(r).
-r**2 - r + 1
Suppose 19*y = -127 + 165. Let r(i) = -11*i**3 + i**2 + 2*i + 2. Let j(z) = -z**3 - z**2 - z - 1. Calculate y*j(g) + r(g).
-13*g**3 - g**2
Let r(a) = 0 - 2 - 2 - 23*a**3 - 7 - 3*a**2. Let b(w) = -8*w**3 - w**2 - 4. Let d = 0 + 16. Let q be (-70)/4 - (-8)/d. What is q*b(u) + 6*r(u)?
-2*u**3 - u**2 + 2
Let r(u) = -u**3 - 10 + 5*u**2 + 5*u + 2 + 3. Let n(v) be the second derivative of v**4/12 + v**3/6 - v**2/2 - v. Suppose -c - 6 + 7 = 0. Give c*r(d) - 5*n(d).
-d**3
Let x(i) = -i. Let d(k) = -k - 1. Let y be (0 - 1/2*-2) + -3. Calculate y*d(s) + 5*x(s).
-3*s + 2
Let l = -41 + 44. Let i(h) = -172*h - h**l - 4 + 7 + 172*h. Let a(w) = 2. Calculate -3*a(u) + 2*i(u).
-2*u**3
Let g(z) = 5*z**3 + z - 22. Let r(c) = 15*c**3 + 3*c - 65. Determine -8*g(i) + 3*r(i).
5*i**3 + i - 19
Let y(d) = 5*d**3 + 2*d**2 + 2*d - 2. Let a = 869 + -871. Let p(g) = -g**3 + g**2 + g - 1. What is a*y(u) + 4*p(u)?
-14*u**3
Let u(q) = -3 + 2*q**3 - 2 - 19*q**2 + q + 9*q**2 + 10*q**2. Let h(f) = -f**2 + 4*f + 7. Let p be h(6). Let s(d) = -d**3 - d + 4. Calculate p*s(o) - 4*u(o).
-3*o**3 + o
Suppose 6*v - 4*c - 28 = 2*v, 2*v + 3*c + 6 = 0. Let l(b) = 0 + 9 + 2*b - b**2 - 3 - 4*b**3 + v*b**3. Let p(n) = -n**3 - n**2 + 2*n + 7. Give 7*l(o) - 6*p(o).
-o**3 - o**2 + 2*o
Let y(i) = 82*i**2 - 2*i + 9. Let u(c) = 41*c**2 - c + 4. Determine -7*u(x) + 3*y(x).
-41*x**2 + x - 1
Let o(i) = -3*i + 14. Let b(s) = 4*s - 13. Calculate -6*b(w) - 5*o(w).
-9*w + 8
Let m(c) be the first derivative of -c**4/4 + c**3/3 + c**2/2 - c + 81. Let b(k) = 4*k**3 - 5*k**2 - 3*k + 4. Give b(l) + 5*m(l).
-l**3 + 2*l - 1
Let p(f) = -43*f - 8. Let c(u) = -21*u - 5. What is 5*c(o) - 3*p(o)?
24*o - 1
Let z(f) = 2*f**3 + 2*f**2 + 3*f + 2. Let y = 258 + -256. Let l(b) = -b**3 - b**2 - 2*b - 1. Calculate y*z(h) + 3*l(h).
h**3 + h**2 + 1
Let | {
"pile_set_name": "DM Mathematics"
} |
635184, 847049, 1059032?
1271163
What is the next term in -19346771, -19346776, -19346779, -19346780, -19346779, -19346776?
-19346771
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-1437734
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1873299
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-11775859
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-578905
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52671
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608930276
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25651
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37833
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-87654
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1031467
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-31416
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-1854334
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-6959758
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-7809
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-1014665
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-1878
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1189450
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2182
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63391509
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-5382
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-4388
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-1619523
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-22297986
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83164757
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-28371087
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16272543
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-2804348
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-133672
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-7938
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-71363757
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-119984
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-740589
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-128623
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-76101
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-12860
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4747
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-6536049
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96243
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170349
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-510481
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25120
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-203827646
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-8938214
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360436
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8205
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3328649
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12105512
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241348
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-77466
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32771
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-293949
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366646
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19679
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4491
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3387869
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3149851
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-29085
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4103
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-131572
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554
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19251
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-731229
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19587499
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2923227
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-280185
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-551306433
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-68098890
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-12589
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-120666406
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8606782
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-714
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348877
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-7297508
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95435653
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429741
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150233
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-2918
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117275576
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227269
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311132
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-1822
What is the next term in -441440, -441014, -440312, -439340, -438104, -436610, -434864, -432872?
-430640
What is the next term in 666476, 666404, 666316, 666212, 666092?
665956
What is next in -12917577, -12917579, -12917581, -12917583?
-12917585
What comes next: -39494425, -157977685, -355449785, -631910725, -987360505, -1421799125?
-1935226585
What is next in 7627769, 7627770, 7627771, 7627772, 7627773, 7627774?
7627775
What is the next term in -1123879124, -1123879122, -1123879120, -1123879118, -1123879116?
-1123879114
What is the next term in 3103367, 3103364, 3103359, 3103352, 3103343, 3103332?
3103319
What is the next term in -18363, -36749, -55119, -73467, -91787, -110073, -128319, -146519?
-164667
What is the next term in 703, -1090, -5381, -12170, -21457, -33242, -47525?
-64306
What comes next: 1074434, 2148871, 3223312, 4297757?
5372206
What is the next term in -45882, -91105, -136328, -181551?
-226774
What comes next: 16030, 16178, 16632, 17560, 19130, 21510, 24868?
29372
What is next in -10139932, -10139934, -10139936, -10139938, -10139940, -10139942?
-10139944
What comes next: -2827, -6693, -10559?
-14425
What is the next term in -18908, -20381, -22712, -25895, -29924, -34793, -40496, -47027?
-54380
What is the next term in -13372, -13573, -13774?
-13975
What is next in 220321, 440540, 660663, 880690?
1100621
What comes next: 145547, 581283, 1307509, 2324225, 3631431, 5229127, 7117313?
9295989
What is the next term in 5886, 44880, 150724, 356844, 696666?
1203616
What is the next term in -2652773, -2651944, -2651117, -2650292, -2649469, -2648648, -2647829?
-2647012
What is the next term in 246488, 493018, 739546, 986072, 1232596?
1479118
What comes next: 102793, 411187, 925189, 1644799, 2570017?
3700843
What comes next: 35, 456, 1023, 1736, 2595, 3600?
4751
What is the next term in 1410, 2806, 4200, 5592?
6982
What is next in -2438, -8686, -18744, -32612, -50290?
-71778
What comes next: -27407, -27253, -27087, -26909, -26719?
-26517
What is next in 5404424, 10808846, 16213264, 21617678, 27022088, 32426494?
37830896
What comes next: 7412768, 14825486, 22238206, 29650928, 37063652?
44476378
What is next in -2137, 496, 3133, 5774, 8419?
11068
What is the next term in 5834, 7994, 11688, 16994, 23990, 32754, 43364?
55898
What is next in 834700, 834240, 833780?
833320
What is the next term in 939112, 93 | {
"pile_set_name": "DM Mathematics"
} |
he c'th term of -2509, -2489, -2469?
20*c - 2529
What is the z'th term of 16013, 16024, 16023, 16004, 15961, 15888?
-z**3 + 18*z + 15996
What is the k'th term of 1192, 2364, 3536, 4708, 5880, 7052?
1172*k + 20
What is the z'th term of -4162, -4176, -4190, -4204, -4218?
-14*z - 4148
What is the d'th term of -148, -147, 4, 311, 780, 1417, 2228?
d**3 + 69*d**2 - 213*d - 5
What is the j'th term of 589, 2400, 5417, 9640, 15069, 21704?
603*j**2 + 2*j - 16
What is the i'th term of 618, 1061, 1340, 1455, 1406, 1193, 816?
-82*i**2 + 689*i + 11
What is the x'th term of -28863, -57691, -86519?
-28828*x - 35
What is the r'th term of -202439, -202443, -202447, -202451, -202455?
-4*r - 202435
What is the d'th term of -101734, -203457, -305180?
-101723*d - 11
What is the j'th term of 3829, 15303, 34425, 61195, 95613?
3824*j**2 + 2*j + 3
What is the r'th term of 5989, 5981, 5973, 5965?
-8*r + 5997
What is the b'th term of -4024, -4064, -4104, -4144, -4184?
-40*b - 3984
What is the x'th term of 2163, 1945, 1737, 1545, 1375, 1233, 1125, 1057?
x**3 - x**2 - 222*x + 2385
What is the i'th term of 86, 259, 614, 1241, 2230, 3671, 5654, 8269?
15*i**3 + i**2 + 65*i + 5
What is the h'th term of 1432, 7301, 17082, 30775, 48380, 69897?
1956*h**2 + h - 525
What is the l'th term of 8858, 8819, 8780?
-39*l + 8897
What is the z'th term of 658273, 658264, 658241, 658198, 658129, 658028?
-z**3 - z**2 + z + 658274
What is the z'th term of 138464, 276938, 415416, 553898, 692384, 830874?
2*z**2 + 138468*z - 6
What is the b'th term of 1999, 2031, 2081, 2149, 2235, 2339?
9*b**2 + 5*b + 1985
What is the v'th term of -16, -479, -1244, -2305, -3656, -5291, -7204?
v**3 - 157*v**2 + v + 139
What is the g'th term of 34261, 68525, 102789?
34264*g - 3
What is the b'th term of 113104, 226210, 339316, 452422, 565528, 678634?
113106*b - 2
What is the t'th term of -1269, -1273, -1277?
-4*t - 1265
What is the g'th term of 3674, 7350, 11026, 14702, 18378?
3676*g - 2
What is the x'th term of 64, 124, 188, 256, 328?
2*x**2 + 54*x + 8
What is the r'th term of 85, 492, 1165, 2104, 3309?
133*r**2 + 8*r - 56
What is the j'th term of -1520, -3087, -4662, -6251, -7860, -9495, -11162?
-j**3 + 2*j**2 - 1566*j + 45
What is the m'th term of -437, -446, -451, -452, -449?
2*m**2 - 15*m - 424
What is the v'th term of 3, -75, -291, -711, -1401, -2427, -3855?
-11*v**3 - 3*v**2 + 8*v + 9
What is the m'th term of -80, -770, -2680, -6428, -12632, -21910, -34880?
-103*m**3 + 8*m**2 + 7*m + 8
What is the m'th term of 295, 257, 207, 145, 71, -15?
-6*m**2 - 20*m + 321
What is the a'th term of -74130, -148259, -222388, -296517?
-74129*a - 1
What is the d'th term of 103, 142, 45, -254, -821, -1722?
-11*d**3 - 2*d**2 + 122*d - 6
What is the n'th term of -487, -933, -1379, -1825?
-446*n - 41
What is the k'th term of -225685, -225680, -225675, -225670?
5*k - 225690
What is the l'th term of -738, -901, -1064, -1227, -1390?
-163*l - 575
What is the y'th term of 236, 248, 274, 320, 392, 496?
y**3 + y**2 + 2*y + 232
What is the w'th term of -991, -1727, -2463, -3199, -3935?
-736*w - 255
What is the t'th term of -127049, -254097, -381145, -508193, -635241?
-127048*t - 1
What is the j'th term of -3805, -3795, -3779, -3757, -3729, -3695, -3655?
3*j**2 + j - 3809
What is the n'th term of 291, 475, 775, 1185, 1699, 2311, 3015?
-n**3 + 64*n**2 - n + 229
What is the n'th term of -14458, -28917, -43376, -57835, -72294, -86753?
-14459*n + 1
What is the d'th term of 727, 1029, 1295, 1507, 1647?
-3*d**3 + 323*d + 407
What is the c'th term of -620010, -620019, -620038, -620073, -620130, -620215, -620334?
-c**3 + c**2 - 5*c - 620005
What is the b'th term of -8503, -8496, -8489?
7*b - 8510
What is the l'th term of -225, -179, -103, 3?
15*l**2 + l - 241
What is the g'th term of 4333, 4324, 4325, 4348, 4405, 4508, 4669, 4900?
2*g**3 - 7*g**2 - 2*g + 4340
What is the x'th term of 7015, 14284, 21553, 28822?
7269*x - 254
What is the r'th term of -46, -29, 52, 197, 406?
32*r**2 - 79*r + 1
What is the a'th term of -1106232, -1106234, -1106238, -1106244?
-a**2 + a - 1106232
What is the b'th term of 194, 207, 208, 197, 174?
-6*b**2 + 31*b + 169
What is the l'th term of -13096, -13107, -13116, -13123, -13128, -13131?
l**2 - 14*l - 13083
What is the n'th term of -343, -2748, -9255, -21910, -42759, -73848, -117223, -174930?
-341*n**3 - 5*n**2 - 3*n + 6
What is the z'th term of -1996, -8036, -18112, -32230, -50396, -72616, -98896, -129242?
-z**3 - 2012*z**2 + 3*z + 14
What is the g'th term of -675857, -675856, -675855?
g - 675858
What is the w'th term of 1078, 656, 236, -182, -598, -1012, -1424?
w**2 - 425*w + 1502
What is the k'th term of -57202, -228797, -514788, -915175, -1429958, -2059137?
-57198*k**2 - k - 3
What is the p'th term of 18, 63, 118, 165, 186?
-3*p**3 + 23*p**2 - 3*p + 1
What is the n'th term of 16816, 16814, 16810, 16804, 16796, 16786?
-n**2 + n + 16816
What is the m'th term of 72, 207, 440, 777, 1224?
m**3 + 43*m**2 - m + 29
What is the c'th term of -405, -743, -1097, -1473, -1877, -2315, -2793, -3317?
-c**3 - 2*c**2 - 325*c - 77
What is the o'th term of -3486, -3489, -3492, -3495, -3498?
-3*o - 3483
What is the u'th term of 353213, 353212, 353211, 353210, 353209?
-u + 353214
What is the y'th term of -307, -389, -533, -739?
-31*y**2 + 11*y - 287
What is the i'th term of -4319011, -8638024, -12957037?
-4319013*i + 2
What is the w'th term of 78969, 78965, 78961, 78957?
-4*w + 78973
What is the p'th term of 4341, 4364, 4385, 4404, 4421, 4436, 4449?
-p**2 + 26*p + 4316
What is the s'th term of -37261, -37258, -37255, -37252, -37249, -37246?
3*s - 37264
What is the q'th term of 114583, 114584, 114585, 114586, 114587, 114588?
q + 114582
What is the b'th term of 601, 1222, 1865, 2530, 3217, 3926?
11*b**2 + 588*b + 2
What is the l'th term of 9839, 19602, 29365, 39128, 48891?
9763*l + 76
What is the b'th term of 51, 168, 427, 882, 1587, 2596, 3963?
9*b**3 + 17*b**2 + 3*b + 22
What is the q'th term of -727, -809, -889, -967, -1043, -1117, -1189?
q**2 - 85*q - 643
What is the y'th term of 733223, 1466446, 2199669?
733223*y
What is the p'th term of 51334, 102666, 153998?
51332*p + 2
What is the j'th term of -171, -154, -101, 6, 185, 454, 831?
3*j**3 - 4*j - 170
What is the j'th term of -328179, -656365, -984553, -1312743, -1640935, -1969129?
-j**2 - 328183*j + 5
What is the n'th term of -1287, -2544, -3785, -5004, -6195, -7352?
n**3 + 2*n**2 - 1270*n - 20
What is the g'th term of 14, 182, 448, 806, 1250, 1774, 2372?
-g**3 + 55*g**2 + 10*g - 50
What is the w'th term of 1121, 5950, 14005, 25292, 39817, 57586, 78605?
w**3 + 1607*w**2 + w - 488
What is the j'th term of -1133, -2256, -3379, -4502, -5625?
-1123*j - 10
What is the s'th term of -2145, -4280, -6415, -8550?
-2135*s - 10
What is the b'th term of -2643, -2649, -2667, -2703, -2763?
-b**3 + b - 2643
What is the z'th term of -870, -669, -344, 99, 654, 1315, 2076, 2931?
-z**3 + 68*z**2 + 4*z - 941
What is the w'th term of 856001, 856003, 856007, 856013, 856021, 856031?
w**2 - w + 856001
What is the p'th term of 343, 877, 1387, 1861, 2287?
-2*p**3 + 548*p - 203
What is the p'th term of 423, 525, 807, 1359, 2271, 3633, 5535?
15*p**3 - 3*p + 411
What is the n'th term of 20786, 20606, 20436, 20282, 20150, 20046?
n**3 - n**2 - 184*n + 20970
What is the i'th term of -2656, -2759, -2930, -3169, -3476, -3851?
-34*i**2 - i - 2621
What is the j'th term of -62180, -124358, -186538, -248720, -310904, -373090, -435278?
-j**2 - 62175*j - 4
What is the z'th term of 909, 2090, 3271?
1181*z - 272
What is the s'th term of -23, 58, 281, 718, 1441, 2522, 4033?
12*s**3 - s**2 - 34
What is the a'th term of 298, 250, 160, 22, -170, -422, -740?
-a**3 - 15*a**2 + 4*a + 310
What is the t'th term of -630540, -630541, -630542?
-t - 630539
What is the z'th term of 1305, 2583, 3861?
1278*z + 27
What is the n'th term of -20, -213, -772, -1883, -3732, -6505, -10388?
-31*n**3 + 3*n**2 + 15*n - 7
What is the i'th term of -6395, -12697, -18999, -25301, -31603, -37905?
-6302*i - 93
What is the q'th term of -126, -517, -1188, -2163, -3466?
-4*q**3 - 116*q**2 - 15*q + 9
What is the d'th term of -81535, -81533, -81531, -81529?
2*d - 81537
What is the u'th term of 301, 2080, 6679, 15436, 29689, 50776?
223*u**3 + 72*u**2 + 2*u + 4
| {
"pile_set_name": "DM Mathematics"
} |
d -14231338798.
-14231338797.93
Subtract -0.0432543751 from -0.11.
-0.0667456249
What is -24.45 - 9055.3?
-9079.75
Calculate 4.29 - 710888.
-710883.71
What is the distance between 0.4 and -62.9449?
63.3449
What is -607 take away 54088165?
-54088772
What is 3045 - 2952.944?
92.056
Work out 109 + -492.094.
-383.094
What is -0.3 take away -1510.855?
1510.555
Total of -158995.1 and 10.6.
-158984.5
Sum 498 and 7490165.
7490663
Calculate 3803900 - 0.7.
3803899.3
What is 0.876 minus 12775?
-12774.124
Work out -231520.3 - 24.
-231544.3
What is -355696411 minus 4?
-355696415
0.0476 + -2983384.3
-2983384.2524
Add together 24.7 and 35.052.
59.752
Put together -6.532 and -0.98015.
-7.51215
What is 0.5 + 3032869.72?
3032870.22
Work out 3904909460 + 0.1.
3904909460.1
What is 1.2 - -1388441.93?
1388443.13
Work out 62274.7231 - 0.3.
62274.4231
What is the distance between -11561873 and 7.35?
11561880.35
Calculate -3368 - 9627.
-12995
What is the distance between 3 and -0.03655151?
3.03655151
Subtract 2203103 from 5.
-2203098
What is -329885.71 take away 0.228?
-329885.938
0.026+-0.08120256
-0.05520256
What is 7535 take away 95646?
-88111
Calculate -4770567.713 + 0.4.
-4770567.313
-367882 - 0.0168
-367882.0168
Calculate 131 + -11.26655.
119.73345
Add 886.26 and -1201.6.
-315.34
15 + -51741.5481
-51726.5481
Sum 930116 and 1.
930117
What is the difference between -33543.4475 and -0.05?
33543.3975
449836 - 20
449816
What is 2.18 - 254.50594?
-252.32594
What is 0.3 minus 133.06362?
-132.76362
-8956 + 45.0085
-8910.9915
Work out -135205.4 + 0.144.
-135205.256
What is the distance between 0.11 and -6590302?
6590302.11
Calculate -0.130932 - 43084.
-43084.130932
Put together -1250 and -8123.
-9373
What is 3559457 minus 0.902?
3559456.098
What is the distance between 194.472 and 74486?
74291.528
What is -0.0593 take away 19132133?
-19132133.0593
Add 5.35074 and -0.07.
5.28074
What is 2 minus -1530633754?
1530633756
Work out 93.29945 + 159.7.
252.99945
What is 12244.90329 less than 44?
-12200.90329
Put together -0.11874 and -507.4.
-507.51874
What is -14592.2 - -2.1?
-14590.1
Put together -114428 and -407.613.
-114835.613
What is 0.44 - -0.111782?
0.551782
Work out -317 + -9072412.
-9072729
What is 46961421 take away -0.4?
46961421.4
Add together -0.3 and 0.971846.
0.671846
Calculate 236.1773907 + -0.42.
235.7573907
What is the distance between -191138 and -1.5678?
191136.4322
39851449 - 8
39851441
-244216257 - -0.13
-244216256.87
-61.03867023 - 0.4
-61.43867023
Subtract 1687793 from 210.
-1687583
What is -2853 take away 36480?
-39333
Put together 107866 and -130.3.
107735.7
Calculate 7365.5 + 825.72.
8191.22
What is 70 take away -652.404033?
722.404033
What is 1754698 less than -0.03?
-1754698.03
Sum -716979194 and -2.
-716979196
Subtract 0.3554 from -53281.
-53281.3554
Work out -0.57863 - 349.
-349.57863
Put together -32317570 and 0.3.
-32317569.7
Subtract -56.36 from -5620.
-5563.64
What is 0.061633826 + 1?
1.061633826
Calculate 0.3 - -585.93374.
586.23374
Total of 9 and -306577696.
-306577687
Add together 11799 and -1335309.
-1323510
What is 1.239028 + 0.22?
1.459028
Put together 1201239 and -96.
1201143
What is -565071703 minus 15?
-565071718
-16.851 + 7.5
-9.351
What is the distance between -8.37415 and -1.3683?
7.00585
Subtract -3524067 from -7.
3524060
0.041 - -0.8704155
0.9114155
What is -1707.4703 minus -20?
-1687.4703
Add 0 and -84367.90839.
-84367.90839
What is the difference between 2 and 229491788?
229491786
-3.14 + 1812107.9
1812104.76
Sum -66.8274 and -0.5.
-67.3274
Add -31009 and 0.078.
-31008.922
What is 1 less than -19916514?
-19916515
Add together -9 and -9194058.
-9194067
Add together 0.09 and -168579.88.
-168579.79
Subtract -5 from -0.0213338742.
4.9786661258
Calculate -2172459 + -865.1.
-2173324.1
What is the distance between 1.772 and -24.4233?
26.1953
What is -0.108 minus 404545?
-404545.108
What is 185 take away -0.61627?
185.61627
Subtract -19.72 from -0.01832.
19.70168
Add -1914.79 and 0.943.
-1913.847
Sum -2 and -1662.3788.
-1664.3788
What is 52 take away 2530.37?
-2478.37
What is -39288 take away 3134?
-42422
Total of -2 and -197.7016.
-199.7016
Put together 7.9 and 2.5579351.
10.4579351
What is -0.2042 take away 6136?
-6136.2042
-0.3 - 772279725
-772279725.3
What is 112.61 minus 2580771?
-2580658.39
Subtract -34625.11 from -109.
34516.11
Subtract 6 from -166267.
-166273
Total of 335979339.8 and 0.4.
335979340.2
Subtract -0.11883126 from -3.
-2.88116874
What is 1.990664 - 1.2?
0.790664
What is the difference between -0.599505 and -0.023?
0.576505
What is -563 - -9872?
9309
What is 59 - 524890?
-524831
Work out -0.06 - 17019.33.
-17019.39
What is -94.5 + -44.1?
-138.6
Put together -141969 and 300.
-141669
What is -58497109 less than -0.0361?
58497108.9639
What is -22.22 take away 0.050975?
-22.270975
-2121.77 + 0.19
-2121.58
What is the difference between -4.8 and -3.48909?
1.31091
Subtract 5.257 from -167364.5.
-167369.757
What is -147.0031 + -0.38?
-147.3831
What is the distance between 576785 and -6062?
582847
Total of -24043 and -9946.
-33989
Add together -5391719 and -22.3.
-5391741.3
Add together -2224 and -9811983.
-9814207
Put together 184330846 and -5.
184330841
Calculate -1535103 - -126.1.
-1534976.9
Work out -0.11 + -0.7811597613.
-0.8911597613
What is 2.479029 take away -42?
44.479029
Calculate -19798766.82 - 0.1.
-19798766.92
What is -46946082 + 0.07?
-46946081.93
Add -310772886 and 0.13.
-310772885.87
Subtract 20 from 0.0127614.
-19.9872386
Calculate 0.06 - 93.43387.
-93.37387
Total of -61108 and 0.49.
-61107.51
What is 0.229 take away 171305?
-171304.771
Subtract 3 from 297991709.
297991706
Add -171614 and 5.7.
-171608.3
Calculate -9524779 - 131.7.
-9524910.7
-0.3 - -59835.46
59835.16
-123740 - -110
-123630
Add 205 and -2.37683.
202.62317
0.29182233835 + 0.2
0.49182233835
What is 242128835 less than -0.1?
-242128835.1
What is -34198029 plus 4.9?
-34198024.1
What is -667911 plus -86?
-667997
Sum -1441986021 and 8.
-1441986013
Calculate 2 - -50730090.
50730092
Put together 120.6625 and 0.
120.6625
What is 4 take away -36137715?
36137719
Sum 0.0356 and 4009.8.
4009.8356
-87238298 - -239
-87238059
Add together 42 and 342.347417.
384.347417
What is -0.5 take away 406132979?
-406132979.5
Put together 5 and 2062206.58.
2062211.58
What is -19848308 less than -83?
19848225
Sum 0.17 and 212580.
212580.17
Subtract 23 from -231835550.
-231835573
Put together 0 and -282883187.
-282883187
4.1+236960065
236960069.1
What is the difference between 604 and -11697697?
11698301
1.125801495+2
3.125801495
What is 0.12221 plus -1107?
-1106.87779
What is -0.03903912 less than -2?
-1.96096088
Subtract 141 from -6998154.
-6998295
Add together -5093 and -49.435.
-5142.435
Put together -2190749 and -18.
-2190767
Add together -20932398 and -0.2.
-20932398.2
Calculate 3964205 - -34333.
3998538
151587696 + 0.1
151587696.1
Add 219 and 403288.
403507
Calculate -1 - -20299541047.
20299541046
Sum -1496 and -2.3955.
-1498.3955
Calculate 30608.3 + -368.
30240.3
What is 3096.8 less than 878?
-2218.8
Work out 3 + 21653.928.
21656.928
What is the difference between -0.098 and -14.6443775?
14.5463775
Calculate -512358926 + -0.5.
-512358926.5
What is 0.5 plus -2105931002?
-2105931001.5
Sum -0.6 and -513444.9.
-513445.5
Calculate -23443.8105 - 0.004.
-23443.8145
What is -135418 plus -53.8?
-135471.8
1.1 - -26666.745
26667.845
1.1 + -4730735790
-4730735788.9
Calculate 378734 - 312.
378422
What is -0.2 take away 14115.0003?
-14115.2003
Work out -41045 + -396.
-41441
What is 118998683 plus 0.5?
118998683.5
Total of 820269.71 and 1.7.
820271.41
-16661 - 5932
-22593
What is the distance between 5886 and 22.73737?
5863.26263
Add together 2.51849 and -403.
-400.48151
Calculate -339 - 2059.11.
-2398.11
What is 104959 plus 1.8538?
104960.8538
Subtract 5230.6 from 0.16943.
-5230.43057
What is -362.011 take away 1.836?
-363.847
Add together 0 and 55212902.
55212902
Put together 1 and -119235.57.
-119234.57
What is 182 plus -345098793?
-345098611
3553.458098 - 3
3550.458098
-153.036+7
-146.036
What is the difference between 250.3348 and -11657?
11907.3348
What is the distance between 0.001933 and 1730?
1729.998067
What is 8491 - 45436?
-36945
Subtract -53 from -77208801.
-772 | {
"pile_set_name": "DM Mathematics"
} |
- 9 = -2*r. Let f = -21/8 + 23/8. Let i = 131 + -133. Put f, r, i in decreasing order.
r, f, i
Let o be 609/174*(-1)/((-7)/(-4)). Sort 3/2, o, -2.8, 0.
-2.8, o, 0, 3/2
Suppose -4*c + 10*c = -30. Sort c, 2, -2 in ascending order.
c, -2, 2
Suppose r = 2*a + 37, 3*a = 4*a + 3*r + 15. Let i = a - -15. Let c be 4/(-4)*-1 - i. Sort 0, c, -4/7 in decreasing order.
c, 0, -4/7
Suppose k = 2*j + 5*k, -2*k - 4 = 0. Suppose j*r - 27 = -5*w, r + 5*w = -4*r + 30. Let z = 4.061 - 0.061. Sort r, z, -5 in descending order.
z, r, -5
Let m be 3 + 15/(-12) + -2. Let v = -2.1133 + 0.1133. Put m, v, 0.3, -9/2 in decreasing order.
0.3, m, v, -9/2
Let k be 1 - 8 - (-1911)/(-105). Put -2/7, -1/3, -0.2, k in increasing order.
k, -1/3, -2/7, -0.2
Suppose 10*j - 5*j = 5*i + 30, -4*i = 2*j. Put -1, j, -3, 1 in ascending order.
-3, -1, 1, j
Let v(m) = m**2 + 14*m + 25. Let j be v(-12). Let s be 9/2 + 6/(-12). Let z = 15/8 - 5/24. Sort s, j, z in decreasing order.
s, z, j
Suppose -3 = -5*h + 2. Suppose -2*g + 0*s + 12 = 3*s, h = 3*g - 4*s. Suppose -5*u + 4 = 19. Sort -5, g, u in descending order.
g, u, -5
Let q = -3254 - -3376.85. Let r = q + -128. Let w = 0.15 + r. Sort w, 1/3, 3/4 in decreasing order.
3/4, 1/3, w
Let p = 0.7 - -4.3. Let n = 12 - 10. Put -0.4, n, p in descending order.
p, n, -0.4
Suppose 26*k + 151 = 21. Put -6, 3, k in ascending order.
-6, k, 3
Let l be (-1)/(-5)*-2*-5. Suppose 2*f + 14*x + 23 = 121, -4*x + 24 = 0. Put 3, l, f, 5 in increasing order.
l, 3, 5, f
Let s(a) = 35*a + 42. Let n be s(0). Sort -5, 3, n in ascending order.
-5, 3, n
Suppose -3*r = -2*g + 3*g - 8, -4*g + r + 6 = 0. Let n(v) = -15*v**2 + 257*v - 24. Let z be n(17). Put -5, g, z in descending order.
z, g, -5
Suppose 0 = 3*d + 196 - 178. Sort -8, d, 2, 4 in decreasing order.
4, 2, d, -8
Let l = 15 - -97.5. Let m = -112 + l. Sort 3, -4/7, m.
-4/7, m, 3
Let t be (21/(-14) - 4)/(2/(-4)). Sort -5, 5, t, 2 in decreasing order.
t, 5, 2, -5
Let s be (-2)/4*(53 - 59). Put 5, 6, s in ascending order.
s, 5, 6
Let x = -517 + 522. Sort x, 3, -2, -27 in ascending order.
-27, -2, 3, x
Suppose -4*w + 16 = 40. Let k(l) = -10*l - 58. Let n be k(-6). Suppose 3*y = n*s - 15, 0*s = y + s. Sort y, 5, w in descending order.
5, y, w
Let z = 221 + -221.23. Put 1, 3, z in descending order.
3, 1, z
Let l be 1*(-15)/(-12)*-4. Let g(o) = -o**2 + 12*o - 11. Let k be g(7). Suppose q + 5*p = -k, -2 = 2*q - p - 9. Put q, l, 4 in descending order.
4, q, l
Suppose -3*i + 13 = -5*m - 2, 2*m - 5*i + 25 = 0. Let o = -2 - -6. Suppose -t - 12 = 2*j, -4*t + 4*j - o = t. Sort -1, m, t in decreasing order.
m, -1, t
Suppose 2*u + 12 = -3*t, -u - 10*t - 9 = -7*t. Let j be ((-6 - -2)/(-20))/(u/(-45)). Put j, -4, 11 in descending order.
11, j, -4
Let z = 0.3 + 0. Let i = -569/1820 - -7/260. Put i, z, -2/17, 4 in descending order.
4, z, -2/17, i
Suppose -2*o - 6 = 0, 3*g + g + o = 17. Sort -6, 9, -5, g in decreasing order.
9, g, -5, -6
Let j = 516.2 + -516. Sort j, 2/15, 0.4, 3/4 in ascending order.
2/15, j, 0.4, 3/4
Let v = -60.986 + -0.014. Let d = -61.2 - v. Put 5, d, 0.4 in increasing order.
d, 0.4, 5
Let g = 9.08 - 9. Let j = -0.48 + g. Let f = -0.3 + 1.3. Sort j, 3, f.
j, f, 3
Suppose 4*c - 14 = 2*d + 4, -c + 10 = 5*d. Let b = 26 + -24. Sort b, -1/4, c in increasing order.
-1/4, b, c
Let g = -180891788 - -79592326279/440. Let r = 687/5 + g. Let f = r - 203/792. Put 2, f, -4/5 in decreasing order.
2, f, -4/5
Suppose -4*v - 45*q = -49*q + 8, 4*v - 20 = -3*q. Let j = -1 + -2. Put 1, j, v in ascending order.
j, 1, v
Let p be (-3)/((-21)/(-14) + -3). Put 3, 63, p, -3 in decreasing order.
63, 3, p, -3
Let m(h) = -2*h**3 - 11*h**2 + 7*h + 8. Let q be m(-6). Let l = q + -3. Sort -3/8, l, -0.04 in decreasing order.
-0.04, -3/8, l
Let t = 130.1 - 129.5. Let p = 16/11 + -134/77. Sort -4, p, t.
-4, p, t
Let q = -38.9 - -40. Let f = -1.1 + q. Sort 3, f, -0.3, -1.
-1, -0.3, f, 3
Suppose -v - 32 = 4*g + 2*v, 8 = -2*v. Sort g, 3, 5.
g, 3, 5
Suppose -2*w = 3*g - 51, -4*w + 6 + 21 = g. Let t be 6/g*10/(-4). Let k = 0 + 3. Put 2, t, k in decreasing order.
k, 2, t
Let f = -2.98 - -5.98. Sort f, -4, -0.03 in ascending order.
-4, -0.03, f
Suppose -460 = 2*y - 468. Sort 27, y, -2 in decreasing order.
27, y, -2
Suppose 14*j - 85 = 41. Suppose y - j = 5*p - 2, -5*y = 5*p - 5. Sort -5, p, -2 in decreasing order.
p, -2, -5
Let z = -328 + 331. Sort 7, 0, z, -4 in descending order.
7, z, 0, -4
Let n be (-5)/30 - (-4)/24. Sort -3, n, 8 in decreasing order.
8, n, -3
Let d(i) = i. Let p be d(-1). Let t = 55 - 39. Suppose -3*o = 9, -6 = -5*b - 5*o - t. Sort p, -2, b in ascending order.
-2, p, b
Let j = -119 + 118.13. Let g = j - 3.03. Let q = g - -0.9. Sort 4, 4/7, q in ascending order.
q, 4/7, 4
Let x = -4 + 4.4. Let b = 39303 - 39308. Put 2, x, b, -0.1 in ascending order.
b, -0.1, x, 2
Let v(a) = -3*a**2 + 33*a - 88. Let o be v(6). Sort o, -1, 636, -3 in ascending order.
-3, -1, o, 636
Let s(v) = -v**3 + 7*v**2 - 5*v - 5. Let x be s(6). Let n be (-2 - -3)*(-3 + -4). Let c be (-2)/n - (-36)/(-28). Sort x, 4, c.
c, x, 4
Suppose -23 = -2*a - 3*a - 4*j, -2*j = 2*a - 10. Sort 2, a, 46 in increasing order.
2, a, 46
Let b be ((-18)/(-15))/((70/25)/(-7)). Suppose -25 = -2*z + 33. Put 2, b, z in increasing order.
b, 2, z
Suppose 963*z = 952*z + 88. Sort z, 1, -2/3.
-2/3, 1, z
Let b(q) = 2*q**2 - 14*q - 2. Let t be b(7). Let k = 2 - t. Let s be 8 - k - (-2 + 9). Sort s, 1, 4 in decreasing order.
4, 1, s
Let p = -2.49 + 21.49. Sort -2/3, p, -1 in ascending order.
-1, -2/3, p
Suppose 2*f + 6 = 4*m, 3*m + 8 = 3*f + 5. Sort m, 11, -1 in increasing order.
-1, m, 11
Let p(d) = 4*d**2 - 15*d - 5. Let r(h) = 8*h**2 - 30*h - 11. Let k(o) = -13*p(o) + 6*r(o). Let s be k(4). Put 1, s, -6 in decreasing order.
1, s, -6
Let t(q) = q**2 - 11*q - 10. Let x be t(12). Suppose -c - x*c = j + 10, -4*j = -c + 14. Sort j, -1, -8 in descending order.
-1, j, -8
Suppose 0 = -3*l + 8 + 4. Suppose l*a - 1 - 3 = 0. Let q be a + -1*(-10)/(-11). Sort 1, q, -0.3 in descending order.
1, q, -0.3
Let a = 6.8 - 6. Let n = 1 - a. Suppose -22 = -2*y - 2*y - c, 0 = 4*y - 5*c - 10. Sort n, -2/11, y in decreasing order.
y, n, -2/11
Suppose 494 = 6*m - 52. Let y = m - 93. Put 2, y, -5, 3 in descending order.
3, 2, y, -5
Let b = 855.6 + -856. Put 5, b, -0.5, 4 in increasing order.
-0.5, b, 4, 5
Let t = -222 + 208. Sort t, -3, 0.2 in descending order.
0.2, -3, t
Let d be 23/(-5) - 12/30. Let q(x) = -x**2 - 2*x - 2. Let c be q(-2). Sort 0, d, -1, c in ascending order.
d, c, -1, 0
Suppose -17*t = -21*t + 12. Suppose 17 + 3 = -4*k + 4*b, 25 = -t*k + 5*b. Sort k, -6, -1, 2 in increasing order.
-6, -1, k, 2
Suppose -2*t = 3*t + 3*t. Sort -2, -4, t, 5 in descending order.
5, t, -2, -4
Suppose -5*w - 2 = -2*h - 8, -2*h = w - 6. Let y(q) be the first derivative of q**2 - 10*q + 15. Let a be y(5). Put a, w, 3 in increasing order.
a, w, 3
Let u be (-2)/(-11) + (-180)/22. Let f = -12 - u. Put 4, f, -1 in decreasing order.
4, -1, f
Let a = -4/27 + -127/54. Let l = 5.96 - 6. Let b = 0.36 - l. Put 0.2, a, b in descending order.
b, 0.2, a
Let n(r) = -2*r**3 + 4*r**2 + 2*r - 8. Let y be n(2). Put -3, y, -9 in ascending order.
-9, y, -3
Let w = 40909/9 - 4541. Sort 1, 0, w in decreasing order.
w, 1, 0
Suppose j = -4*u + 5, 5*u - 3 = 2. Let t be 3*(j - 32/12). Put -0.1, 6, t, -2 in decreasing order.
6, -0.1, -2, t
Let d = -8 - -1. Let a = -568 - -568. Sort d, -2/5, a in increasing order.
d, -2/5, a
Suppose -47*i - 5 = -52*i. Let o be 4/18 - (-129)/27. Let q be o/(45/6)*6. Sort -4, i, q in decreasing order.
q, i, -4
Let l = -160 - -159. Let n = -15 + 9. Let p = 5.6 + n. Sort l, p, -4 in increasing order.
-4, l, p
Suppose 0 = 4*y + 18 + 18. Let r(b) be the second derivative of -b**3/6 - 2*b**2 - 7*b + 13. Let z be r(y). Sort 1/2, 1, z in ascending order.
1/2, 1, z
Let c = -23 - -22.6. Let m(o) = o**2 + o - 20. Let n be m(0). Let u be ((-4)/n)/(16/(-30)). Sort c, u, 2/17 in ascending order.
c, u, 2/17
Let x = 141/5 - 1823/65. Put -1, -2, x, 2 in ascending order.
-2, -1, x, 2
Let g = -8.7 + 7. Let x = g - 2.3. Sort -0.1, 0.4, x in descending order.
0.4, -0.1, x
Let v(b) = 3*b. Let r be v(1). Suppose -4*i = -3*a + 16, 12 = -4*i + i - 5*a. Sort r, -5, i.
-5, i, r
Suppose 2 = 4*v - 5*g - 29, -5*v - 3*g + 11 = 0. Sort v, -2/31, | {
"pile_set_name": "DM Mathematics"
} |
4*n - 3*u, 2*n - 497 = 3*u. Suppose -3*a = -25*a - 14*a. Suppose a = -j + n + 624. Is j a prime number?
True
Let u = 60 - 46. Suppose -5*f = a - 3 - u, 0 = -f + 3. Is (-97)/a*(-8 - -6) composite?
False
Let l be 1/4 - 645/(-60). Let t = l + -6. Suppose -3987 = -8*a + t*a. Is a prime?
False
Suppose 9*y + 6 = 96. Suppose -y*x + 124590 = -4*x. Is x a prime number?
False
Let q be -9 + 7 + (206 - -1). Let j = q - 119. Suppose 3*l = 2*b - 227, -b - 4*l = -0*b - j. Is b a composite number?
True
Let m(p) = 3521*p + 49. Let f be m(-3). Let z = -6820 - f. Is z prime?
False
Suppose 43107 = -21*b + 218623 + 32867. Is b a prime number?
True
Suppose -4*d - 4 = 0, -39*d + 41*d = 2*i - 160224. Is i prime?
True
Let w(v) = 3*v**3 - 78*v**2 - 14*v - 64. Is w(33) composite?
False
Suppose 0 = -3*z - w + 3291, -3*z - 2*w + 2190 = -z. Let n = z + -683. Suppose 6*f + 1 = n. Is f prime?
False
Suppose -5*s + 5*q = -189710, 28*s - 23*s - 4*q = 189707. Is s a composite number?
True
Suppose -6*t - t = 0. Let l be t - (-446)/(-26) - 14/(-91). Is (-2837)/l - (24/68)/(-3) a composite number?
False
Suppose -3 - 3 = -3*i. Let p(g) = -39*g**2 + 4*g - 3. Let d(b) = -79*b**2 + 7*b - 4. Let u(x) = 3*d(x) - 7*p(x). Is u(i) a prime number?
True
Let t(w) = -589*w - 42 - 6 - 46 - 67 + 68. Is t(-8) a composite number?
True
Let f = -58 - -35. Let c = 25 + f. Suppose 0 = -c*u - 4*j + 208, -2*u + 173 = 3*j - 6*j. Is u a composite number?
True
Let f(c) = -326*c + 88. Let l be f(-10). Suppose -5*j + 5587 = -3*s + 5*s, l = 3*j - 3*s. Is j a composite number?
False
Let j = -71 + 73. Let s be (j - 2) + 0/(-2) + 3. Suppose -i + 232 = s*i. Is i a prime number?
False
Let f(r) = -2*r**3 - 3*r**2 - 4*r - 7. Let z be f(-2). Suppose -b - 3*b = -3*v + 26, z*v - 5 = -b. Suppose u - v*u = -451. Is u a composite number?
True
Let f(n) = -1270*n**3 + 2*n**2 - n + 4. Let t(r) = -3*r**3 + 1. Let l(y) = f(y) - 6*t(y). Is l(-1) prime?
False
Suppose 3*r - 2*z = 1355253, 88*r = 86*r - 2*z + 903502. Is r prime?
False
Suppose 0 = -4*b + 3*u + 11781, -4*b + 5360 + 6418 = -2*u. Suppose b - 31873 = -22*x. Is x a prime number?
False
Let h = 535 + -576. Is (h/(-4))/(96/4224) a prime number?
False
Suppose 2*g - 4*j = 32, -4*g + 0*j = 3*j - 20. Suppose p = -g*p. Suppose 0 = y + 2*c - 340 - 233, p = 2*y - 2*c - 1176. Is y a composite number?
True
Suppose -5*z - 651 + 656 = 0. Let u(f) = 7280*f**2 + 16*f - 17. Is u(z) composite?
True
Suppose 3*i + 114185 + 26944 = 0. Is i/(-15) - (-4)/5 prime?
True
Suppose 7*n - 11*n - 12 = 4*u, 3*u - 9 = 3*n. Suppose u = -8*o + 2998 + 306. Is o a prime number?
False
Let y = 316734 + -101117. Is y prime?
True
Let y(f) = -1153*f + 174. Let r = -194 + 189. Is y(r) a composite number?
False
Let c(r) be the first derivative of -r**3/3 - 3*r**2 + 6*r + 5. Let m be c(-6). Is 513/6 + m/(-12) composite?
True
Let f(m) = 229*m - 336*m + 40 - 90*m - 266*m. Is f(-6) a prime number?
False
Let u = 49 + -46. Suppose u*m - 1698 = 3*g - 7869, m = -4. Is g a prime number?
True
Let t(r) = 214*r**2 + 51*r - 202. Is t(5) a composite number?
True
Suppose -5*w = -13*w + 1992. Let s = w - -95. Let d = 723 - s. Is d a composite number?
False
Suppose 11615415 = 76*f + 29*f. Is f composite?
False
Suppose -5*f = 5*v - 293295, 21852 = -3*f - 4*v + 197825. Is f a composite number?
True
Let a(y) = 1550*y**3 + 6*y**2 - 39*y + 23. Is a(4) composite?
True
Let k(x) = -54 + 28*x**2 - 25*x**2 - 69 + 24*x. Is k(28) prime?
False
Is (6 - 364906 - 6)/(-2) a prime number?
True
Suppose 25*z + 60 = 37*z. Suppose -m + 2933 = z*g, 5*g - g - 3*m = 2354. Is g prime?
True
Let t(s) = -1033*s + 68. Let x be t(-45). Suppose -16*c - 2*b = -11*c - x, 2*b = 3*c - 27935. Is c composite?
False
Let p = -5489 - 1131. Let c = 11659 + p. Is c a composite number?
False
Let o(v) = v**3 + 6*v**2 - 9*v + 61. Let q be o(-8). Suppose 2*b + b - 649 = 4*w, -613 = -3*b - q*w. Is b prime?
True
Suppose -2448562 - 4627456 = -38*u. Is u composite?
False
Let a(f) = 11734*f**2 - 24*f + 13. Is a(1) prime?
False
Suppose 298170 + 204417 = 9*r. Is r a prime number?
True
Let r = -94 + 99. Is 344 - r/(15/(-9)) a prime number?
True
Suppose 0 = 5*o - 8*o + 39057. Suppose -7*l = -o - 28764. Is l a prime number?
False
Suppose -96 = -5*j - j. Suppose 5*z - j = z. Suppose 0 = o + o + b - 652, -z*b - 1316 = -4*o. Is o composite?
True
Suppose 1054303 = 13*j - 468348. Is j prime?
True
Let d be -12*(161/(-21) + 5). Is -9*d/(-80)*(-32105)/(-6) prime?
False
Let k(o) = -3169*o**2 + 5*o + 4. Let m be k(-1). Let f = m + 5731. Is f a composite number?
True
Suppose -8488*a = -8474*a - 1957102. Is a a composite number?
True
Let a be (-4)/(-10) + (231/35 - 2). Suppose -779 = -a*u + 2*q, -3*u + q = -503 + 35. Is u a prime number?
True
Let w(n) = 170*n**3 - 19*n**2 - 32*n - 19. Is w(8) a prime number?
True
Let a = -29 - -33. Suppose a*v = -8, 5*v + 93779 + 241511 = -5*q. Is q/(-20) + (-3)/(-60)*4 composite?
True
Suppose 0 = -6*y + 12109 - 835. Suppose -985 = -8*h + y. Let k = h + 229. Is k prime?
True
Suppose -2*n + 302452 = -3*c, 4*c = -128*n + 129*n - 151221. Is n a prime number?
False
Let n = -131121 + 307712. Is n composite?
False
Let q = 145467 + -72878. Is q composite?
True
Suppose -4*a + 124 = 5*u, -9*a = 4*u - 4*a - 92. Suppose u*m - 29*m = -12437. Is m prime?
True
Let g be (1 + 2)/(5/(-2) - -1). Let l be 3*(g + 3) - 0. Suppose -i - l*n = -848, 2*i - 1030 = -n + 651. Is i composite?
False
Let u(p) = 2*p**3 + 2*p**2 - 6*p + 7. Let c be u(2). Suppose -t = 5*h - 45, 3*h - t - c = -0*t. Suppose -12*b + h*b = -836. Is b a composite number?
True
Suppose -32 = -2*r + 10*r. Let u be r/5 + 101895/25. Suppose 5*k - 3*b - 10216 = 0, -u = -3*k + b + 2057. Is k composite?
True
Suppose -7*n + 67 = -73. Suppose 0 = n*j - 21*j + 2219. Is j composite?
True
Suppose 0 = 11*i - 509706 - 398113. Is i prime?
True
Is 2/8*25/(375/92580) a prime number?
True
Let d be ((-1)/(-2))/(1/(-8))*262. Let s = 1912 - d. Suppose s = 3*x + x - 5*r, 5*x - 3713 = 3*r. Is x a composite number?
True
Is (-110)/11 - 27*-109 a prime number?
False
Suppose 4*i - a - 43 = 0, 11 = 3*i - 13*a + 8*a. Suppose -3*c - 121059 = -i*c. Is c composite?
False
Let o = 19 - 18. Is (-3)/o*(-31009)/33 a prime number?
True
Let h be 326264/22 + (256/44 - 6). Suppose u - h = -2*a - 3*u, 0 = -a - 3*u + 7417. Is a a composite number?
False
Let u(b) = -23917*b - 28. Let w be u(-3). Let i = w + -44112. Is i composite?
False
Let z = -2223 + 905. Let s = -59 - z. Is s composite?
False
Suppose -2*m + s + 20 = 2*s, 2*s + 14 = 2*m. Is 42504/m - 10/6 prime?
True
Let o = -449571 - -1243040. Is o composite?
True
Suppose 3*u = 3*u + 3*u. Suppose u = 148*l - 143*l - 21745. Is l composite?
False
Let b(t) = t - 11. Let y be (-1073)/(-145) - (9/5)/(-3). Let k be b(y). Is (-5)/45*k*3183 composite?
False
Suppose -z = 3*o - 38, 188 = 4*z + 12*o - 9*o. Suppose -5*c + 278 = -1077. Let i = c - z. Is i a prime number?
False
Let n be 80/4*4/8. Let k(y) = 8*y**2 - 9*y + 35. Let x(z) = 2. Let v(d) = k(d) - 3*x(d). Is v(n) prime?
True
Suppose -5*v + 105002 = -4*y, -7*v = 5*y - 3*v + 131273. Let h = -5546 - y. Is h composite?
False
Suppose 43578 = 14*y - 61828. Suppose -4*x + 5046 = 2*k, 0 = 19*k - 16*k - 2*x - y. Is k composite?
True
Let i(d) = -4410*d + 317. Is i(-4) prime?
True
Let i = -48491 + 100098. Is i prime?
True
Suppose 35 - 15 = 5*w. Is 926/w*30 + 7 + -5 a composite number?
False
Suppose -16*a + 20958 = -10*a. Let r = a - 2174. Is r composite?
False
Let f = 132330 - 51745. Suppose 0 = -10*p + 31185 + f. Is p a composite number?
False
Let t = -576 - -566. Let p(z) = 0 + 7*z + 2*z**2 + 2 - 5. Is p(t) a prime number?
True
Let z(t) = -44633*t + 1599. Is z(-20) a composite number?
False
Let x = 544098 - 303435. Is x prime?
False
Is 23331 - -38 - (9 + 3) prime?
True
Let h(u) = 2*u**3 + 2*u**2 - 5*u + 1. Let q be h(-4). Let y = 492 + q. Is ((-70)/(-15))/(2/y) a composite number?
True
Let a = 7315 - 4882. Suppose -a = 23*b - 24*b. Is b composite?
True
Suppose -3*l + 2*k - 4722 - 610 = 0, l = k - 1778. Let v = 2525 + l. Let f = -484 + v. Is f a composite number?
True
Suppose -16*q - 8564 - 16380 = 0. Let c = q - -5944. Is c a composite number?
True
Let k = 400120 - 181311. Is k a composite number?
False
Suppose 1516509 = 6*n - 2*n + 23*n. Is n composite?
False
Suppose | {
"pile_set_name": "DM Mathematics"
} |
7*y. Let d(w) = -i(w) + m(w). What are the prime factors of d(-1)?
17
Suppose -13*n = -7*n - 726. List the prime factors of n.
11
Suppose -3*f - 38 = 124. What are the prime factors of (-12)/(-8) - f/4?
3, 5
Suppose -36 = 4*j - 4*d, -3*j - d = -8*j - 33. Let w = 4 + j. What are the prime factors of (w + (-10)/(-6))*-15?
5
Let h be 1 - (-1)/1*1. Let z(a) = -h*a - a - a. List the prime factors of z(-1).
2
Let z(n) = n**2 + 4*n + 2. Let y be z(-5). Suppose 0 = 3*h + y + 2. Let c = h + 11. What are the prime factors of c?
2
Let f = 10 + -5. Let y = -3 + f. What are the prime factors of y?
2
What are the prime factors of (-2 + 1)/(15/(-105))?
7
Let h(n) = -n**2 + 7*n + 2. Let w be h(7). Let k be (-3)/((-1)/w*-2). List the prime factors of 1/k + (-240)/(-18).
13
Let g = 10 - 2. List the prime factors of 204/g + (-6)/(-4).
3
Let w be ((-2)/5)/(1/(-5)). Suppose 5*z - 2*z - 56 = 2*m, 100 = 5*z - w*m. List the prime factors of z.
2, 11
Let r(u) = u + 19. Let t be r(0). Suppose j + 12 = -o, t = -j - j - o. Let p = j - -17. List the prime factors of p.
2, 5
Let p(g) = -g**3 + 7*g**2 - 3*g + 2. Suppose -5*t + 23 = 2*v - 5, -5*v - 11 = -t. List the prime factors of p(t).
2, 5
Let k be (1/(-3)*0)/(-2). Suppose k = -0*b + 5*b - 10. Let d = b + 0. List the prime factors of d.
2
Suppose 2 = 2*b + 28. Let o = b - -18. What are the prime factors of o?
5
Let f = 4 - 0. Suppose 0 = -4*s - 5*b - 30 + 1, f*b = 4*s - 16. List the prime factors of -6*(2 + s)/(-1).
2, 3
Suppose x + 0 = 4. Suppose -4*o - 4 = -x*j, j - 3 = -0. List the prime factors of o.
2
Let v(y) = -y**3 - y**2 + y. What are the prime factors of v(-7)?
7, 41
Let p be 4 + -6 - 1*-7. Let t = 2 + p. List the prime factors of t.
7
What are the prime factors of ((-32)/12)/((-2)/3)?
2
Suppose 0*h - 16 = -4*h. Let z = 0 + h. Suppose -4*t + 8 = 4*k - 20, 0 = 5*t + z*k - 33. List the prime factors of t.
5
Let i(l) = -2*l**2 + 4*l + 2. Let b(o) = -o**2 + 3*o + 2. Let d(n) = 4*b(n) - 3*i(n). Let v be d(4). Let m = -22 + v. List the prime factors of m.
2, 3
Let g be (-60)/2*2/(-3). Suppose 0 = -3*f - f + 128. Let v = f - g. List the prime factors of v.
2, 3
Let k = 23 + 9. List the prime factors of k.
2
Let y be 115/(-4) + (-7)/28. What are the prime factors of (-9)/(-6) + y/(-2)?
2
Let u = 2 - 1. Let r be (2/4)/(u/12). What are the prime factors of (-1 + (3 - r))*-2?
2
Let k(s) = 15*s**2 - 2. List the prime factors of k(2).
2, 29
Suppose -3*n = -5*n. Let m = n - 3. Let o(l) = l**2 - l - 4. What are the prime factors of o(m)?
2
Suppose c + 4*c - 4*d = 135, -c - 4*d = -51. Suppose -2*s = -4*s. Suppose s = -5*x + 4 + c. What are the prime factors of x?
7
Let l = -72 + 78. List the prime factors of l.
2, 3
Suppose 0 = r - 2*r - 3. List the prime factors of 3/(r/(-2) + -1).
2, 3
Let z be -2 + (-1)/((-3)/12). Suppose -2*q - 16 = z*q + 4*j, 0 = -q - 2*j - 3. List the prime factors of (12/7)/(q/(-35)).
2, 3
Let q = -34 - 20. Let z = q + 100. What are the prime factors of z?
2, 23
Let h be (-72)/(-3)*(-3)/(-4). Let a be 0 - -1 - (1 + -3). Suppose 3*i - 42 = -i + 5*t, a*t - h = -3*i. What are the prime factors of i?
2
Suppose 0 = 5*i + 3*v + 29, i - 11 = 6*i - 3*v. What are the prime factors of (-26 - -6)*i/5?
2
Suppose 2*p - 198 = 2*u, -66 = -p - 4*u + 58. List the prime factors of p.
2, 13
Suppose 3*a - 93 = 189. Suppose 4*l - a = -3*v, 4*l = 4*v - 67 - 21. List the prime factors of v.
2, 13
Let i be (-2 + (-9)/(-3))*34. Let a = i + -7. Suppose -5*r - a = -72. List the prime factors of r.
3
Let a(q) = -q**2 + 12*q + 2. What are the prime factors of a(7)?
37
Suppose -732 - 76 = -4*o. What are the prime factors of o?
2, 101
Let s(v) = 12*v**3 - 4*v**2 + 4*v - 3. Let l be s(2). Suppose 3*z = 7*n - 3*n - l, 5*z = -4*n + 61. List the prime factors of n.
19
Suppose -4*c - 6 + 26 = 4*g, -2*g - 18 = -2*c. What are the prime factors of c?
7
Suppose 0 = -2*p - 2*p + 12. Let f be (23 + p + 3)*-1. Let n = -17 - f. List the prime factors of n.
2, 3
Let q(f) = 6*f**2 - 1 - 2*f - 2 + 4 + 0. What are the prime factors of q(-3)?
61
Suppose -5*c + 8 = 33, -5*c = b + 13. Suppose 5*u - b = 23. What are the prime factors of u?
7
Suppose -3*l = -0*l - 180. What are the prime factors of l?
2, 3, 5
Suppose -3*o + 112 = 25. List the prime factors of o.
29
Let p(f) = f**3 + 6*f**2 + 4*f + 6. Let i be p(-5). Let z be (16/(-48))/(2/6). Let y = i - z. What are the prime factors of y?
2, 3
Suppose 6 = -5*p + 4*m, 5*m - 42 = -4*p - 14. Let x(j) be the first derivative of 2*j**2 + j + 1. List the prime factors of x(p).
3
Let u(v) = 15*v**2 + v. What are the prime factors of u(-2)?
2, 29
Suppose -5*o + 1 = -u, -3*u + 2*o - 3*o + 13 = 0. Suppose 4*y - u*c = 28, -2*c - 9 = -0*y - y. Let p = -3 + y. List the prime factors of p.
2
Let s(a) = -4*a**3 + 4*a + 7. Let h(m) = 9*m**3 - 9*m - 15. Let c(r) = 3*h(r) + 7*s(r). Let v be c(0). Let x = 2 + v. What are the prime factors of x?
2, 3
Let o be 2/(-6)*(-5 - 4). Suppose o*r + 5*k + 14 = 2*r, -5*r - 70 = -4*k. Let j = r - -24. What are the prime factors of j?
2, 5
Suppose -4*y + y = -6, 4*v = 2*y + 12. Let o(b) = 8 - v + 0 + 2*b. List the prime factors of o(4).
2, 3
Let h(z) = 4*z**2 + 7*z + 8. Let t be h(-4). What are the prime factors of (1 - 0)*t*1?
2, 11
Let f = -4 - -8. Suppose 5*q + f*m = 39, 3*m = 4*q + 5*m - 30. What are the prime factors of (q + 2)/(0 - -1)?
3
Suppose 3*x + 105 = 5*b, -x - 3*x = 5*b - 140. What are the prime factors of b?
2, 3
What are the prime factors of (28/6)/((-2)/(-3))?
7
Let k be (-2)/(-4)*(79 - -3). Suppose 17 = 2*s - k. Let p = 43 - s. List the prime factors of p.
2, 7
Suppose -3*g + 36 = -2*g. List the prime factors of g.
2, 3
Suppose 2*s + 4*s = -0*s. Let d(y) = 19 + y**2 + 0*y**2 + y - 4. What are the prime factors of d(s)?
3, 5
Let j(h) = 3*h**3 + h**2 - 6*h + 9. What are the prime factors of j(3)?
3
Let d(n) = -40*n + 14. Let u(v) = 8*v - 3. Let l(f) = 3*d(f) + 14*u(f). List the prime factors of l(-3).
2, 3
Let w be ((-3)/9)/((-1)/3). What are the prime factors of 18 + -7 + w + 0?
2, 3
Suppose -3*w = -3*b + 6, -5*b + 0*b = 5*w - 30. Suppose -2*l - 14 = -b*l. What are the prime factors of l?
7
Suppose 2*y = -5*g + 90, g + 0 = 4*y - 4. Suppose -f - 17 = -5*o, f + g = 4*o - f. Suppose 0*c = -o*c + 9. List the prime factors of c.
3
Let o(c) = c + 3. What are the prime factors of o(9)?
2, 3
Let j = 3 + 1. Let i(u) be the second derivative of u**3/6 + 5*u**2/2 + 7*u. What are the prime factors of i(j)?
3
Let o(k) = 4*k**3 + 2*k**2 + 2*k. Let y be o(-2). Let u = 54 + y. Suppose 2*h - 3*b + 8*b - u = 0, 1 = -h + b. List the prime factors of h.
3
Let l(v) = 2*v**3 + 4*v**2 - 4*v + 2. Suppose 0 = -5*d + 7 + 3. What are the prime factors of l(d)?
2, 13
Suppose -3*i - o = -2*i + 2, i + 5*o = -18. Suppose -21 = -2*m + 3*j, i*m + 2*j = 4*m - 20. What are the prime factors of m?
3
Let w = -5 - -3. Let m(v) = v**3 + 3*v**2 + v. What are the prime factors of m(w)?
2
Let h(x) = 4*x**3 - 3*x**2 - 2*x**3 + x - 1 + 0*x**3. Let d be h(2). Suppose 3*s - 4 + 1 = -f, 7 = 2*f + d*s. What are the prime factors of f?
2, 3
Let n = -1 - 5. Let j(i) = i + 9. Let v be j(n). List the prime factors of ((-8)/v)/((-2)/6).
2
Let h(c) = 4*c - 10. Let y(w) = 9*w - 20. Let n(l) = -7*h(l) + 3*y(l). Let d be n(5). What are the prime factors of 1/(1 + d/(-6))?
2, 3
Let o = 252 - 112. Suppose -2*l - l - 180 = -5*m, -5*l + o = 5*m. What are the prime factors of m?
3, 11
Let a(t) = -t**2 + 1. Let i be a(-3). List the prime factors of (i/3)/(2/(-18)).
2, 3
Let y(q) = -q**3 + 17*q**2 + 19. Let c be y(17). Suppose o - c = -2*w + 30, -5*o = -w - 267. List the prime factors of o.
53
Let d be (31 - (-1 - 1)) + 3. What are the prime factors of (d/(1 - 4))/(-2)?
2, 3
Suppose 0 = -5*x - 3 + 198. Let d be 1*(19/1 - 2). Suppose d = 4*g - x. List the prime factors of g.
2, 7
Let j(d) = -d**2 + 6*d + 9. Let g be j(7). Suppose 3*f - 28 = -4*h - 4, 2*f - 16 = -g*h. List the prime factors of (0 - -18)*f/12.
2, 3
Let t(s) = -s**3 + 9*s**2 + 2*s - 9. List the prime factors of t(7).
103
List the prime factors of (2364/24)/((-2)/(-4)).
197
Suppose 8*a = 5*a + 15. Suppose -h = -a*h + 64. List the prime factors of h.
2
Let v(t) be the first derivative of 11*t**6/120 + t**2 + 2. Let a(d) be the second derivative of v(d). What are the | {
"pile_set_name": "DM Mathematics"
} |
q**2 - 65104*q + 108
What is the f'th term of -446621, -446600, -446579?
21*f - 446642
What is the m'th term of -4311, -4565, -5297, -6747, -9155?
-40*m**3 + m**2 + 23*m - 4295
What is the k'th term of -580, -963, -1144, -1123, -900, -475?
101*k**2 - 686*k + 5
What is the k'th term of -1547302, -1547307, -1547312, -1547317, -1547322?
-5*k - 1547297
What is the v'th term of 11217, 22424, 33611, 44778, 55925, 67052?
-10*v**2 + 11237*v - 10
What is the q'th term of -19248, -38361, -57316, -76113?
79*q**2 - 19350*q + 23
What is the q'th term of -1120879, -1120884, -1120889, -1120894, -1120899?
-5*q - 1120874
What is the f'th term of -1696875, -3393748, -5090625, -6787506, -8484391, -10181280, -11878173?
-2*f**2 - 1696867*f - 6
What is the d'th term of 194, 1109, 3300, 7313, 13694?
91*d**3 + 92*d**2 + 2*d + 9
What is the b'th term of 48561049, 97122093, 145683135, 194244175, 242805213?
-b**2 + 48561047*b + 3
What is the w'th term of 26059, 104338, 234795, 417424, 652219, 939174, 1278283, 1669540?
-w**3 + 26095*w**2 + w - 36
What is the b'th term of -1008, -3184, -6808, -11880, -18400, -26368?
-724*b**2 - 4*b - 280
What is the w'th term of -192968, -385910, -578852, -771794?
-192942*w - 26
What is the g'th term of 246960, 246953, 246950, 246951, 246956?
2*g**2 - 13*g + 246971
What is the q'th term of -8616, -7393, -4108, 2259, 12728?
170*q**3 + 11*q**2 - 8797
What is the r'th term of 38055, 38026, 37963, 37854, 37687, 37450, 37131, 36718?
-2*r**3 - 5*r**2 + 38062
What is the o'th term of -451, -954, -2297, -4894, -9159?
-69*o**3 - 6*o**2 - 2*o - 374
What is the f'th term of -2241, -3551, -5733, -8787?
-436*f**2 - 2*f - 1803
What is the b'th term of -930, -2310, -4528, -7998, -13134, -20350, -30060, -42678?
-69*b**3 - 5*b**2 - 882*b + 26
What is the x'th term of 12211, 21119, 30027, 38935, 47843, 56751?
8908*x + 3303
What is the v'th term of -40, -230, -414, -592?
3*v**2 - 199*v + 156
What is the n'th term of 237, 909, 1979, 3447, 5313, 7577?
199*n**2 + 75*n - 37
What is the a'th term of -16062, -34110, -52158, -70206?
-18048*a + 1986
What is the a'th term of -919749, -7357902, -24832897, -58863156, -114967101, -198663154, -315469737?
-919737*a**3 + a**2 + 3*a - 16
What is the i'th term of -487191784, -487191783, -487191782, -487191781, -487191780?
i - 487191785
What is the v'th term of -1531329, -3062598, -4593865, -6125130, -7656393, -9187654?
v**2 - 1531272*v - 58
What is the q'th term of -121864417, -243728833, -365593249?
-121864416*q - 1
What is the s'th term of 13147979, 13147976, 13147973?
-3*s + 13147982
What is the v'th term of 676, 685, 660, 583, 436, 201, -140?
-3*v**3 + v**2 + 27*v + 651
What is the d'th term of 3046, 6760, 10478, 14200?
2*d**2 + 3708*d - 664
What is the b'th term of -5651, -38646, -126315, -295994, -575019, -990726, -1570451?
-4556*b**3 - b**2 - 1100*b + 6
What is the h'th term of 77254620, 77254619, 77254618, 77254617, 77254616?
-h + 77254621
What is the i'th term of 26140, 26564, 26988, 27412?
424*i + 25716
What is the p'th term of -18054799, -18054802, -18054805, -18054808, -18054811?
-3*p - 18054796
What is the v'th term of -3161, -6292, -9383, -12416, -15373, -18236, -20987?
3*v**3 + 2*v**2 - 3158*v - 8
What is the i'th term of 32010637, 64021303, 96031969?
32010666*i - 29
What is the w'th term of -1613226, -6452938, -14519134, -25811814, -40330978?
-1613242*w**2 + 14*w + 2
What is the t'th term of 52899, 105768, 158621, 211452, 264255, 317024, 369753?
-t**3 - 2*t**2 + 52882*t + 20
What is the l'th term of 438, 3390, 11394, 26976, 52662, 90978, 144450, 215604?
421*l**3 + 5*l + 12
What is the q'th term of -476089, -1904343, -4284729, -7617217, -11901777, -17138379, -23326993, -30467589?
5*q**3 - 476096*q**2 - q + 3
What is the z'th term of 3673, 14629, 32841, 58285, 90937, 130773, 177769?
-4*z**3 + 3652*z**2 + 28*z - 3
What is the g'th term of -237019, -237007, -236981, -236935, -236863?
g**3 + g**2 + 2*g - 237023
What is the u'th term of 2315, 18007, 60589, 143507, 280207, 484135?
2241*u**3 - u**2 + 8*u + 67
What is the n'th term of 4237821, 4237841, 4237887, 4237971, 4238105, 4238301?
2*n**3 + n**2 + 3*n + 4237815
What is the k'th term of -1883634, -3767271, -5650908?
-1883637*k + 3
What is the b'th term of -65173201, -130346404, -195519607, -260692810, -325866013?
-65173203*b + 2
What is the l'th term of -33164, -33163, -33162, -33161?
l - 33165
What is the j'th term of 193938, 775751, 1745444, 3103023, 4848494, 6981863?
j**3 + 193934*j**2 + 4*j - 1
What is the x'th term of -5355, -5215, -4869, -4221, -3175, -1635, 495?
16*x**3 + 7*x**2 + 7*x - 5385
What is the g'th term of 319438, 319432, 319426?
-6*g + 319444
What is the u'th term of 36180, 144684, 325496, 578616?
36154*u**2 + 42*u - 16
What is the k'th term of 2035, 4096, 6181, 8284, 10399, 12520, 14641, 16756?
-k**3 + 18*k**2 + 2014*k + 4
What is the v'th term of 4993429, 4993288, 4993147?
-141*v + 4993570
What is the k'th term of -807404, -807425, -807446?
-21*k - 807383
What is the j'th term of 3183274, 3183228, 3183182?
-46*j + 3183320
What is the y'th term of -1259, -13673, -34363, -63329?
-4138*y**2 + 2879
What is the t'th term of 1399131, 2798298, 4197465?
1399167*t - 36
What is the a'th term of -6970, -11331, -13078, -12211, -8730, -2635, 6074?
1307*a**2 - 8282*a + 5
What is the z'th term of 178, 1138, 2868, 5362, 8614, 12618?
-z**3 + 391*z**2 - 206*z - 6
What is the r'th term of 187910703, 187910704, 187910705?
r + 187910702
What is the s'th term of 179487, 179523, 179549, 179565?
-5*s**2 + 51*s + 179441
What is the i'th term of 150032, 150143, 150254, 150365?
111*i + 149921
What is the q'th term of -59405389, -59405391, -59405393, -59405395, -59405397, -59405399?
-2*q - 59405387
What is the v'th term of -102625, -410505, -923643, -1642045, -2565717?
-v**3 - 102623*v**2 - 4*v + 3
What is the y'th term of -16071, -31550, -47029?
-15479*y - 592
What is the k'th term of -44898022, -89796039, -134694056, -179592073, -224490090?
-44898017*k - 5
What is the a'th term of 10277, 43789, 99697, 178007, 278725?
a**3 + 11192*a**2 - 71*a - 845
What is the y'th term of -102875, -411860, -926951, -1648148?
-103053*y**2 + 174*y + 4
What is the g'th term of 954731, 954732, 954733, 954734?
g + 954730
What is the j'th term of 15255049, 15255051, 15255053, 15255055?
2*j + 15255047
What is the y'th term of 35885, 41038, 49629, 61664, 77149, 96090?
y**3 + 1713*y**2 + 7*y + 34164
What is the z'th term of -47378, -94361, -140956, -187163, -232982, -278413, -323456?
194*z**2 - 47565*z - 7
What is the k'th term of 2463356, 4926712, 7390068, 9853424, 12316780, 14780136?
2463356*k
What is the n'th term of -61950312, -61950313, -61950314, -61950315, -61950316, -61950317?
-n - 61950311
What is the t'th term of 412, 1783, 4106, 7387, 11632, 16847?
t**3 + 470*t**2 - 46*t - 13
What is the j'th term of -32159, -32220, -32319, -32456?
-19*j**2 - 4*j - 32136
What is the c'th term of -111859, -223644, -335429, -447214, -558999?
-111785*c - 74
What is the y'th term of 989618, 989587, 989528, 989435, 989302, 989123?
-y**3 - 8*y**2 + 989627
What is the d'th term of -79235, -317454, -714485, -1270328, -1984983?
-79406*d**2 - d + 172
What is the w'th term of 1311, -2872, -7057, -11244?
-w**2 - 4180*w + 5492
What is the n'th term of 144434, 287434, 430434?
143000*n + 1434
What is the v'th term of -54608351, -109216706, -163825063, -218433422, -273041783?
-v**2 - 54608352*v + 2
What is the y'th term of -1814447670, -1814447671, -1814447672?
-y - 1814447669
What is the v'th term of -670742, -670909, -671076, -671243, -671410?
-167*v - 670575
What is the f'th term of -20039752, -80158993, -180357724, -320635945?
-20039745*f**2 - 6*f - 1
What is the a'th term of 182242, 364685, 547128, 729571, 912014?
182443*a - 201
What is the v'th term of 71852, 287519, 646964, 1150187, 1797188?
71889*v**2 - 37
What is the u'th term of 614, 1057, 1830, 2933, 4366, 6129?
165*u**2 - 52*u + 501
What is the f'th term of 22701727, 22701741, 22701765, 22701799?
5*f**2 - f + 22701723
What is the m'th term of 71785, 287092, 645939, 1148326?
71770*m**2 - 3*m + 18
What is the l'th term of -3451, -13389, -29953, -53137, -82935, -119341?
l**3 - 3319*l**2 + 12*l - 145
What is the m'th term of -2888, -5023, -7166, -9317? | {
"pile_set_name": "DM Mathematics"
} |
.
m**(-176/21)
Simplify (i/i**8)**7 assuming i is positive.
i**(-49)
Simplify ((f*(f*f/(f*f**34))/f*f)/f)/(f/f**5*f) assuming f is positive.
f**(-30)
Simplify q*q/q**(2/3)*q*q**(-6)*q*(q**1/q)**(-20/7) assuming q is positive.
q**(-8/3)
Simplify (y**(-1))**(-2/145)/(y**(-1)/y)**(-6/11) assuming y is positive.
y**(-1718/1595)
Simplify (y*y*(y*y**(-4/7))/y*y*y)/(y*(y*y**37)/y) assuming y is positive.
y**(-242/7)
Simplify (i**1)**(-28)/(i/(i**(-5/3)/i)*i**2) assuming i is positive.
i**(-101/3)
Simplify m**(-8)*m**(-3/4) assuming m is positive.
m**(-35/4)
Simplify (q**(-1)*q)**(-1/3)*(q/q**0)/q*q**(2/9) assuming q is positive.
q**(2/9)
Simplify h**7/(h*(h**4*h)/h*h*h*h*h*h*h*h)*h**(-1/5)*h/h**(2/27) assuming h is positive.
h**(-577/135)
Simplify (b**(-1/7)/b*b*b)/(b*b*b**(9/2)) assuming b is positive.
b**(-79/14)
Simplify (m*m*m*m**(-2/17)*m)/((m*m/(m*m*m/m**(-11)))/m) assuming m is positive.
m**(287/17)
Simplify l**(-2/9)/l**20 assuming l is positive.
l**(-182/9)
Simplify (((v*v**7)/v)/v**(-3))/(v**(1/4))**(-22) assuming v is positive.
v**(31/2)
Simplify ((x*x**(-2/35))/x)/(x*x**(-3/2)) assuming x is positive.
x**(31/70)
Simplify ((y/(y**(-1/3)/y))**(2/9))**(-3) assuming y is positive.
y**(-14/9)
Simplify (m*(m**(2/13)/m)/m*m)/(m**(1/16)*m)*(m**(-2/11))**(1/5) assuming m is positive.
m**(-10811/11440)
Simplify (i**14/i)/(i*i**1/i) assuming i is positive.
i**12
Simplify (z*z/z**(-1/4)*z**(2/9))**8 assuming z is positive.
z**(178/9)
Simplify i*i**(1/5)*i*i*i**7*i**(-2/29)*i**(6/11)*i assuming i is positive.
i**(18624/1595)
Simplify (v*v**(-25)*v)/(v*(v/v**19)/v) assuming v is positive.
v**(-5)
Simplify (t**1)**10/((t*t/(t*t**(-9))*t)/(t**(1/6)/t)) assuming t is positive.
t**(-11/6)
Simplify ((u/(((u*u**(-1))/u)/u))/u*u*u)**(-24)*(u**(2/7)*u)/u*(u*u**6*u)/u*u assuming u is positive.
u**(-614/7)
Simplify ((o/((o**(-30)*o)/o*o))/o)**(7/2) assuming o is positive.
o**(203/2)
Simplify (((r/(r*r**(-2)*r))/r)/r*r**(-3))/(r/r**0*r)**(-6/5) assuming r is positive.
r**(-8/5)
Simplify (w*w/(w*(w**6/w)/w*w*w))/(w/((w**(-2/13)*w)/w))*((w/w**(-1))/w)**11 assuming w is positive.
w**(63/13)
Simplify ((v*v/(v**(-1)/v)*v*v)/v)**5*(v**(-2))**(-3/2) assuming v is positive.
v**28
Simplify y/y**(-4/13)*y**(5/4) assuming y is positive.
y**(133/52)
Simplify (p/(p/(p**2/p))*p/(p/(p/p**3)))/(p**(2/3)*((p**(-6)*p)/p)/p) assuming p is positive.
p**(16/3)
Simplify r**2/(r**43*r) assuming r is positive.
r**(-42)
Simplify (f/(f/((f*(f**(-5/4)/f)/f*f)/f))*f)**(8/11) assuming f is positive.
f**(-10/11)
Simplify (w**(1/14)/(w/w**(1/4)*w))**(-16) assuming w is positive.
w**(188/7)
Simplify b**(-2/31)/b**(2/19) assuming b is positive.
b**(-100/589)
Simplify (f*(f/(f/f**1))/f*f)**(-18/5)/(f**0/(f/f**4)) assuming f is positive.
f**(-51/5)
Simplify (d**(-2/7))**(-9/2)/(d*d/(d/d**(-3/5))*d*d**(5/2)*d) assuming d is positive.
d**(-253/70)
Simplify (g**3*g*g**2)**(-2/63) assuming g is positive.
g**(-4/21)
Simplify n**(-2/27)*n*n*n*n/(n**(-2/27)/n)*n*n assuming n is positive.
n**7
Simplify x*x/(x/x**(9/5))*x*x**7 assuming x is positive.
x**(54/5)
Simplify ((k*k**(-2/27)*k*k)/k)/k**(5/3) assuming k is positive.
k**(7/27)
Simplify ((v/(v*v**(-3)))/(v**(-2)*v))**(24/5) assuming v is positive.
v**(96/5)
Simplify (a**(-18)*a)/a**(-20) assuming a is positive.
a**3
Simplify h**(-1/2)*(h*h*h**(-2/3))/h assuming h is positive.
h**(-1/6)
Simplify (c**(-1/2))**(-4/17)/(c/(c/c**(-2/13))*c*(c*c**(3/7)*c)/c) assuming c is positive.
c**(-3337/1547)
Simplify (o**(-1/4)*o)**(-2)/(o**1)**39 assuming o is positive.
o**(-81/2)
Simplify (t**(1/4)*t*t)**36 assuming t is positive.
t**81
Simplify ((s/((s/s**(1/4))/s))/(s*s*s**(5/3)))/(s**(-1/4))**5 assuming s is positive.
s**(-7/6)
Simplify ((t**7/t)/(t/t**(2/11)*t))/(t**0)**(3/43) assuming t is positive.
t**(46/11)
Simplify g**(-2)*g**6*(g*g*g**(2/19)*g)/g**(-2) assuming g is positive.
g**(173/19)
Simplify v**(3/5)/v*(v*v/(v/(v/(v**(-5/2)*v*v*v*v*v)*v)))/v*v/v**(6/5)*v**(3/2) assuming v is positive.
v**(2/5)
Simplify (g**(2/7))**(2/75)/(g*g**2/g*g*g**3) assuming g is positive.
g**(-3146/525)
Simplify (w*(w**3/w)/w*w**(1/4))/(w**(2/11)*w**9) assuming w is positive.
w**(-305/44)
Simplify ((l/(l/(((l**(2/7)*l)/l)/l)))**(-4/21))**(-2/47) assuming l is positive.
l**(-40/6909)
Simplify ((m/(m**(-1/4)/m))/m)/(m*m*m**(-2))*m**(-10)*m**(-1/3)/m assuming m is positive.
m**(-121/12)
Simplify ((u*u**(-2/7)/u*u)/u)**15/((u/((u/u**3)/u))/(u/((u*u**(-4))/u))) assuming u is positive.
u**(-23/7)
Simplify v**6/v**(2/17)*v**(-1/4)*(v/(v/(v*v**(1/2))))/v assuming v is positive.
v**(417/68)
Simplify (y**(1/5)/y)/y**(-4)*y**(-2/3)*y**(-2/5) assuming y is positive.
y**(32/15)
Simplify (f/(f/(f*f**(-1/6)/f*f)))/(f/(f/(f*(f**(-5/3)/f)/f*f))) assuming f is positive.
f**(5/2)
Simplify (b/((b/b**(-31)*b)/b))/(b**(-9)*b) assuming b is positive.
b**(-23)
Simplify ((k/(k**(-1)/k))/k**(-1/8))/((k/(k*k**(1/13)))/k*k*k**(-10)/k) assuming k is positive.
k**(1477/104)
Simplify (((u/(u*u*u/u**(-3/7)*u*u*u))/u)/u**1)/(u**(-1/3)*u**(4/3)) assuming u is positive.
u**(-59/7)
Simplify (l**0*l)**(2/9) assuming l is positive.
l**(2/9)
Simplify (h*h*h**1)**(2/19)/(h*h**(-1/3))**(-1/9) assuming h is positive.
h**(200/513)
Simplify (t/(t**(5/6)/t)*t*t)/(((t**(-3/10)/t*t*t)/t)/t) assuming t is positive.
t**(67/15)
Simplify (g*g**(-12/7))**(-38) assuming g is positive.
g**(190/7)
Simplify (m**(-2/9))**4*(m*m/m**0)**(-3) assuming m is positive.
m**(-62/9)
Simplify k**(-7)/((k/(k**(2/21)*k*k))/k) assuming k is positive.
k**(-103/21)
Simplify g**(1/36)/(g/(g*g**(5/2)*g*g*g)*g) assuming g is positive.
g**(163/36)
Simplify n**(1/17)*n**(1/51) assuming n is positive.
n**(4/51)
Simplify t*t/(t**(-7/5)*t)*t*((t/(t/t**(-18)))/t)/t assuming t is positive.
t**(-83/5)
Simplify c/(c/(c*c/c**(-2)))*c/(c**5*c)*(c**1)**(-25) assuming c is positive.
c**(-26)
Simplify (t/((t/t**26)/t))/(t*t**(-11/4)) assuming t is positive.
t**(115/4)
Simplify m**(-24)*m/(m*m/(m/(m**(-2)/m))) assuming m is positive.
m**(-21)
Simplify (l**(-6)*l**(-3/2))**(-6/13) assuming l is positive.
l**(45/13)
Simplify (a*a*a*a*a*a**(1/8)*a*a**(-2/11)/a)**(2/15) assuming a is positive.
a**(29/44)
Simplify (w/w**(-35))/w*w**(6/5) assuming w is positive.
w**(181/5)
Simplify (o**(1/3)*o*o)**39 assuming o is positive.
o**91
Simplify d*d**(1/3)*d**(-1/5)*d*(d**(2/3)/d*d)/d**5 assuming d is positive.
d**(-11/5)
Simplify b**(-1/2)/(b/b**(-1/4))*b*b**(1/2)/b*(b**(-4)*b)/b assuming b is positive.
b**(-21/4)
Simplify r**26*r**(-10) assuming r is positive.
r**16
Simplify (a**(-1/3))**(-3)/(a*a*(((a/a**0)/a)/a)/a*a**6) assuming a is positive.
a**(-5)
Simplify (t**(-1/2)*t/t**(-2))/(t**(-7/4)*t*t/(t*t/t**(-2/11))) assuming t is positive.
t**(195/44)
Simplify (t/((t**(-2/29)/t*t)/t))**(-34) assuming t is positive.
t**(-2040/29)
Simplify (r*(r*r*r**(-10/3)/r)/r*r)**44 assuming r is positive.
r**(-176/3)
Simplify (c/c**(1/25)*c)/c**(5/7) assuming c is positive.
c**(218/175)
Simplify r*r*r*r*r**6/r*r*(r*r**(-5/4)*r)/r*(r*(r/(r*r**1)*r)/r)**(-49) assuming r is positive.
r**(39/4)
Simplify (g*g**(3/2))/(g**7*g*g)*g**(-3)/(g**5/g) assuming g is positive.
g**(-27/2)
Simplify (z**13)**(9/2) assuming z is positive.
z**(117/2)
Simplify (a**(-2)/(a/a**(-3)*a))/((a*a**1)/a**(-3/8)) assuming a is positive.
a**(-75/8)
Simplify (p**(2/45)*p*(p**(-17/3)/p)/p)**(-6) assuming p is positive.
p**(596/15)
Simplify (u*u*u/(u*u**(2/13)*u)*u*u*u*(u*(u/(u**(-4/7)*u)*u)/u)/u)**(-1/80) assuming u is positive.
u**(-201/3640)
Simplify ((m*m/m**(-1/2))/m)**(-21)*(m*m*m**(-2/27)/m*m)/(m*m**(1/14)) assuming m is positive.
m**(-5792/189)
Simplify ((l*l/((l**(-2/23)*l*l)/l*l))/l*l)/(l*l**5*l) assuming l is positive.
l**(-159/23)
Simplify (k/k**(1/6))/((k/(k*k**(-1/5))*k*k)/k)*((k*k/k**1)/k)**(-42) assuming k is positive.
k**(-11/30)
Simplify ((v/(v*v/(v**(2/33)/v)*v*v))/v*v**(-13/3))**(-29/5) assuming v is positive.
v**(2958/55)
Simplify t**(-6)*t*t**(-2/17) assuming t is positive.
t**(-87/17)
Simplify (((c*(c**(1/2)/c)/c*c*c)/c)**(3/2))**(-2/5) assuming c is positive.
c**(-3/10)
Simplify l**2/l*l**4/l*l*l*l**(-6)*l*l*l**4/l*l*l assuming l is positive.
l**7
Simplify (a**(-8)*a)/a**(-2/15)*a**0/(a/(a**(5/2)/a)) assuming a is positive.
a**(-191/30)
Simplify h**(-8/7)/h**(1/16) assuming h is positive.
h**( | {
"pile_set_name": "DM Mathematics"
} |
36414?
94
What is the greatest common divisor of 6632980 and 820?
820
What is the highest common divisor of 360790 and 234895?
545
What is the highest common divisor of 1422156 and 17484?
372
What is the highest common factor of 36464 and 1266608?
688
Calculate the highest common divisor of 1963 and 129419231.
151
Calculate the greatest common factor of 129 and 164619093.
129
What is the highest common factor of 784 and 10021648?
112
What is the greatest common divisor of 1380 and 30729380?
460
What is the greatest common divisor of 805766 and 884?
442
What is the greatest common divisor of 465480 and 519?
3
Calculate the greatest common divisor of 1309 and 88077.
187
What is the greatest common divisor of 57 and 1307961387?
57
Calculate the highest common divisor of 4650 and 153975.
75
Calculate the highest common factor of 2431080 and 7884.
108
What is the highest common factor of 83825325 and 6822?
3411
What is the highest common divisor of 989978 and 1870?
374
What is the highest common divisor of 94810 and 112774?
998
What is the highest common factor of 258426850 and 330?
110
What is the greatest common factor of 32 and 141893680?
16
Calculate the greatest common divisor of 3174 and 769166.
1058
What is the highest common factor of 116233260 and 190?
190
What is the highest common divisor of 9284 and 552332?
44
What is the greatest common divisor of 561301869 and 59?
59
Calculate the greatest common factor of 2511 and 10756845.
279
What is the highest common factor of 23605568 and 896?
448
What is the highest common divisor of 407151 and 159885?
171
Calculate the greatest common divisor of 112005 and 15300.
45
What is the highest common divisor of 609 and 5826709?
203
Calculate the greatest common factor of 11909470 and 90.
10
Calculate the greatest common divisor of 18 and 157946976.
18
Calculate the greatest common divisor of 382574283 and 39.
39
What is the greatest common divisor of 96693 and 29?
1
Calculate the greatest common divisor of 1807114 and 6386.
62
Calculate the greatest common factor of 9577 and 29707.
61
Calculate the highest common divisor of 992 and 128898.
62
What is the greatest common factor of 15148 and 1262153?
541
What is the highest common factor of 312707 and 2462419?
1189
What is the greatest common factor of 4328 and 9976?
8
Calculate the greatest common divisor of 14938 and 3201.
1067
What is the greatest common divisor of 2783 and 27982559?
253
Calculate the greatest common divisor of 20281443 and 36309.
1911
What is the greatest common divisor of 24073115 and 110?
55
Calculate the highest common divisor of 138024 and 30246.
426
Calculate the greatest common factor of 390 and 5995840.
10
What is the highest common divisor of 41320419 and 357?
21
What is the highest common factor of 4797 and 341118?
9
Calculate the highest common divisor of 879096 and 216.
24
Calculate the greatest common factor of 394191894 and 150942.
13722
What is the highest common factor of 4625291 and 55?
11
What is the greatest common divisor of 146597 and 33?
11
Calculate the highest common divisor of 42341930 and 4880.
610
Calculate the highest common factor of 1632 and 91798368.
1632
Calculate the greatest common factor of 15139116 and 108.
108
Calculate the highest common factor of 3695063 and 878.
439
What is the highest common factor of 35 and 4260515630?
35
Calculate the greatest common divisor of 18104700 and 225.
75
What is the greatest common divisor of 17383200 and 4400?
400
Calculate the greatest common divisor of 209142144 and 7668.
2556
Calculate the highest common divisor of 99601 and 429407.
103
Calculate the greatest common factor of 15841738 and 13304.
3326
What is the greatest common factor of 2142922 and 21016?
142
Calculate the greatest common divisor of 22 and 3684532.
2
What is the highest common divisor of 1661 and 8972571?
151
Calculate the greatest common factor of 241 and 152781227.
241
What is the greatest common divisor of 973150 and 100?
50
Calculate the greatest common factor of 7849 and 2047978.
47
Calculate the highest common factor of 9 and 335383.
1
Calculate the greatest common divisor of 1011690 and 5295.
15
What is the greatest common divisor of 46996 and 227292?
124
Calculate the highest common factor of 840 and 628290.
30
What is the greatest common divisor of 4619889 and 1809?
27
What is the greatest common factor of 8331 and 531141?
3
What is the greatest common divisor of 9610923 and 33453?
1239
Calculate the greatest common factor of 7079634 and 437839.
7421
Calculate the highest common divisor of 10868620 and 945980.
4060
What is the highest common factor of 2111846231 and 737?
737
What is the greatest common factor of 150022075 and 6027?
2009
Calculate the greatest common factor of 240375 and 255.
15
Calculate the highest common divisor of 48 and 25921704.
24
What is the greatest common factor of 500187 and 99794?
1217
Calculate the greatest common factor of 2973164 and 1635944.
1564
What is the greatest common divisor of 1660 and 58755285?
415
Calculate the greatest common factor of 20410606 and 17168.
2146
What is the highest common factor of 39117 and 5826427?
1003
What is the highest common divisor of 19568 and 5328?
16
What is the highest common factor of 4697214 and 53023?
3119
Calculate the greatest common divisor of 13059976 and 2729944.
9512
Calculate the greatest common divisor of 19953 and 3138533.
739
Calculate the highest common factor of 1423186 and 57980.
446
What is the greatest common factor of 244 and 7205?
1
Calculate the highest common factor of 525 and 31924125.
75
Calculate the highest common divisor of 41510 and 1250.
10
What is the greatest common divisor of 3234 and 599214?
462
What is the highest common factor of 6145893 and 117?
117
Calculate the greatest common divisor of 142060723 and 1106.
553
What is the greatest common divisor of 519984 and 16?
16
What is the highest common divisor of 546180 and 120?
60
What is the greatest common factor of 144322676 and 5962?
542
Calculate the highest common divisor of 9304190 and 1610.
1610
Calculate the highest common divisor of 10886975 and 9150.
1525
Calculate the highest common divisor of 1546938 and 3798.
18
Calculate the greatest common divisor of 161588 and 17554586.
2786
Calculate the highest common factor of 53248 and 1030640.
208
Calculate the highest common factor of 82044 and 45874044.
1908
What is the highest common divisor of 741706 and 186?
62
What is the greatest common divisor of 64 and 286286720?
64
Calculate the greatest common factor of 10899 and 361570.
173
Calculate the highest common factor of 25538296 and 56.
56
Calculate the highest common factor of 940071 and 2552.
11
What is the greatest common factor of 61592427 and 702?
351
Calculate the greatest common factor of 101956 and 1616102.
142
Calculate the highest common factor of 36596814 and 41934.
1446
What is the greatest common factor of 374758496 and 412?
412
Calculate the highest common factor of 100466 and 671938.
382
Calculate the highest common divisor of 579229200 and 440.
440
Calculate the highest common divisor of 24255 and 77770.
385
Calculate the highest common divisor of 52 and 3742622.
26
What is the greatest common divisor of 101 and 228515429?
101
Calculate the greatest common divisor of 156157789 and 19.
19
What is the greatest common factor of 7696156 and 208?
52
Calculate the highest common factor of 3526 and 465002.
86
Calculate the highest common factor of 210751754 and 104992.
6562
Calculate the greatest common divisor of 152366190 and 60.
30
Calculate the greatest common factor of 404500 and 28900.
100
What is the greatest common divisor of 144 and 265868?
4
What is the highest common divisor of 13255838 and 1424?
178
What is the greatest common divisor of 2124099 and 3366?
153
Calculate the greatest common factor of 197824 and 3776.
64
Calculate the highest common factor of 46785 and 22665.
15
Calculate the highest common divisor of 1118721 and 496242.
4353
What is the greatest common divisor of 51805769 and 431?
431
Calculate the greatest common factor of 16075475 and 975.
325
Calculate the highest common divisor of 4108192 and 1452.
484
Calculate the highest common factor of 8020754 and 350.
14
What is the highest co | {
"pile_set_name": "DM Mathematics"
} |
Give w(64).
-86
Let j(h) = -500*h**3 + 6497*h**2 + 45*h - 87. Determine j(13).
-9
Let r(f) = 1122*f + 107734. Determine r(-96).
22
Let w(n) = n**3 + 8*n**2 - 937*n + 5815. Calculate w(7).
-9
Let m(x) = -2*x**2 + 38945*x + 311670. What is m(-8)?
-18
Let u(z) = -939*z + 43640. What is u(45)?
1385
Let p(w) = 304*w - 572. Calculate p(20).
5508
Let t(r) = 43000*r + 86123. Calculate t(-2).
123
Let d(y) = 3*y**3 - 43*y**2 + 46*y - 98. Determine d(13).
-176
Let c(m) = -m**3 - 195*m**2 + 5594*m - 8101. Give c(24).
11
Let i(d) = 7881*d + 63015. What is i(-8)?
-33
Let l(t) = 6*t**2 - 3813*t - 86761. Give l(-22).
29
Let l(f) = 8*f**2 - 708*f - 194929. Determine l(-118).
7
Let w(m) = 2124*m + 40358. Determine w(-19).
2
Let q(v) = v**2 - 240*v + 11620. Give q(56).
1316
Let a(r) = 130496*r - 521917. What is a(4)?
67
Let c(p) = -4*p - 380. Determine c(-78).
-68
Let j(n) = n**3 + 103*n**2 + 752*n + 35537. Determine j(-99).
293
Let y(l) = 121*l**3 - l**2 - 2*l - 1. What is y(-1)?
-121
Let q(d) = -27*d - 935. Determine q(-31).
-98
Let n(i) = -136*i + 17161. What is n(114)?
1657
Let y(s) = -5*s**3 - 103*s**2 - 100*s + 59. What is y(-19)?
-929
Let v(w) = -161*w - 87415. Calculate v(-543).
8
Let m(i) = 40638*i + 4714009. Give m(-116).
1
Let n(a) = -5435*a - 59554. Calculate n(-11).
231
Let s(n) = -n**3 + 3198*n**2 - 28689*n - 55. Determine s(9).
53
Let d(u) = 10430*u + 104241. Determine d(-10).
-59
Let v(t) = -3*t**3 + 255*t**2 - 251*t + 187. Give v(84).
271
Let p(s) = -3*s**3 + 51*s**2 + 110*s - 62. Determine p(19).
-138
Let g(k) = -k**3 + 3874*k**2 + 70005*k - 922. What is g(-18)?
-4
Let k(w) = -12*w**2 - 2119*w - 1221. What is k(-176)?
11
Let y(f) = 97*f**2 + 179*f - 209. What is y(-4)?
627
Let y(m) = 16*m**3 + 931*m**2 + 207*m + 1947. Determine y(-58).
33
Let s(p) = 5*p**2 + 548*p - 13722. What is s(21)?
-9
Let c(k) = -308*k + 2041. What is c(4)?
809
Let i(g) = 857*g - 33271. Give i(37).
-1562
Let i(t) = 183*t - 1093. Calculate i(7).
188
Let j(b) = -53640*b - 7777801. Give j(-145).
-1
Let r(b) = 1749*b - 1439414. Give r(823).
13
Let u(s) = 363381*s - 13445119. Give u(37).
-22
Let y(z) = z**3 + 68*z**2 - 362*z - 32761. Calculate y(-66).
-157
Let u(m) = 20*m**2 + 1100*m - 180. Determine u(-56).
940
Let o(z) = -13*z**3 - 3*z**2 - 2990*z - 5957. What is o(-2)?
115
Let g(y) = -1098*y + 189942. Calculate g(173).
-12
Let a(g) = -g**3 - 19*g**2 + 16*g + 833. Give a(-13).
-389
Let a(v) = 5336*v - 48460. What is a(9)?
-436
Let n(f) = 955*f + 94568. Determine n(-99).
23
Let i(v) = 3*v**3 - 66*v**2 + 49*v + 176. Calculate i(21).
-118
Let t(v) = 8*v**3 - 223*v**2 - 147*v + 3237. Determine t(28).
-95
Let d(x) = 4781*x - 3341894. Calculate d(699).
25
Let x(m) = -6952*m - 20894. What is x(-3)?
-38
Let z(v) = 4160*v + 87658. What is z(-21)?
298
Let f(v) = 7*v**2 - 951*v + 16900. Give f(20).
680
Let p(h) = h**3 + 170*h**2 - 9*h - 1301. Give p(-170).
229
Let a(y) = -y**2 + 3631*y - 444995. What is a(127)?
13
Let c(u) = -2*u**2 + 38727*u + 309940. Give c(-8).
-4
Let g(n) = -2704*n - 8806. Calculate g(-3).
-694
Let s(n) = -n**2 - 1337*n - 179107. Calculate s(-151).
-21
Let p(x) = -189*x**3 - 1706*x**2 + 30*x + 161. Calculate p(-9).
-514
Let c(b) = -219*b**2 - 333*b + 334. Calculate c(1).
-218
Let b(g) = 6*g**2 - 75*g - 75. Determine b(16).
261
Let w(r) = -328*r + 32. What is w(4)?
-1280
Let q(l) = l**3 - 123*l**2 - 638*l - 113. Determine q(128).
143
Let r(s) = 343*s - 90434. Give r(264).
118
Let s(d) = -d**3 + d**2 - 87*d + 285. What is s(3)?
6
Let v(r) = 5*r**2 - 33347*r - 2. Determine v(0).
-2
Let p(q) = 13*q**2 - q + 61. What is p(5)?
381
Let l(t) = -t**3 + 7*t**2 + 107*t - 51. Give l(-7).
-114
Let i(s) = 3*s**3 + 44*s - 206. Determine i(3).
7
Let x(g) = g**3 - 88*g**2 - 369*g + 3901. Calculate x(5).
-19
Let d(g) = -682*g**2 - 4754*g + 90. Give d(-7).
-50
Let r(k) = k**3 + 333*k**2 - 1346*k + 694. What is r(-337)?
20
Let s(w) = 23*w**2 - 106*w - 140. Determine s(-1).
-11
Let w(o) = 5*o**3 - 207*o**2 + 103*o - 828. Determine w(41).
33
Let z(j) = -j**3 + 397*j**2 + 1065*j + 53970. What is z(400)?
-30
Let g(w) = 1117*w + 16737. What is g(-15)?
-18
Let c(q) = 3*q**3 - 464*q + 1. What is c(-12)?
385
Let f(n) = -3*n**2 - 669*n - 37172. Give f(-105).
-2
Let h(r) = 2*r**3 + 56*r**2 + 280*r + 20. Calculate h(-22).
-332
Let z(b) = 2*b**3 + 62*b**2 - 204*b - 8880. Determine z(-30).
-960
Let l(r) = 2*r**3 + 28*r**2 + 3*r - 1035. What is l(0)?
-1035
Let p(s) = 3*s**2 - 82196*s + 82194. Give p(1).
1
Let n(p) = -4*p**2 - 70*p + 515. Calculate n(-30).
-985
Let j(s) = 32880*s - 164677. Calculate j(5).
-277
Let g(b) = 128*b**2 + 23322*b + 4769. Give g(-182).
37
Let o(p) = -2*p**3 - 10*p**2 + 2514*p - 206. Calculate o(33).
-8
Let l(z) = -46844*z - 187382. Determine l(-4).
-6
Let m(r) = -53*r**2 + 203*r + 198. Calculate m(-1).
-58
Let v(m) = m**3 + 17*m**2 - 1942*m - 30989. Give v(-16).
339
Let h(a) = a**2 - 717*a + 65277. Give h(107).
7
Let l(i) = 3*i**2 - 1133*i - 27646. Give l(-23).
0
Let k(u) = -u**2 + 65*u + 2792. Give k(92).
308
Let o(b) = 11692*b + 128577. What is o(-11)?
-35
Let u(d) = 92*d**2 + 4063*d + 655. Determine u(-44).
-5
Let u(p) = 127314*p + 5601827. What is u(-44)?
11
Let l(k) = 355*k**2 - 7811*k + 12. What is l(22)?
-10
Let k(p) = 28790*p + 57576. What is k(-2)?
-4
Let x(c) = 142*c**2 + 2734*c + 670. Calculate x(-19).
-14
Let j(h) = -4491*h + 54105. Give j(12).
213
Let z(o) = -o**2 - 156*o + 27359. What is z(-255)?
2114
Let t(w) = -w**3 - 81*w**2 + 908*w + 179. Calculate t(-91).
361
Let p(j) = 2*j**3 + 84*j**2 + 12*j + 64. Determine p(-42).
-440
Let t(j) = -50*j - 3255. Give t(-111).
2295
Let w(d) = d**3 - 21*d**2 - 521*d - 156. Give w(-13).
871
Let u(q) = -2*q**3 + 626*q**2 - 615*q - 2812. Give u(312).
-4
Let f(p) = -42*p**2 + 1481*p - 11212. What is f(11)?
-3
Let x(v) = v**3 + 132*v**2 + 328*v - 6414. Determine x(-129).
1197
Let q(t) = 129*t**2 - 38975*t + 5128. What is q(302)?
-6
Let w(v) = -119319*v + 715927. Calculate w(6).
13
Let h(x) = 46*x**2 + 144*x - 4. Calculate h(-3).
-22
Let o(l) = -l**2 - 111*l - 1170. Determine o(-91).
650
Let f(n) = -n**2 + 1315*n - 151926. Give f(128).
10
Let s(m) = 6*m**2 + 275877*m + 1103463. What is s(-4)?
51
Let y(c) = -2*c**2 + 1516*c - 16407. What is y(11)?
27
Let d(f) = -36889*f - 36864. What is d(-1)?
25
Let u(v) = 49*v**2 + 298*v - 28. What is u(-6)?
-52
Let u(o) = 39*o**2 - 428*o - 2612. What is u(-6)?
1360
Let u(z) = -133*z + 2198. Give u(12).
602
Let w(r) = 3*r**3 + 6*r**2 + 64*r - 455. Calculate w(7).
1316
Let u(k) = k**3 + 30*k**2 + 330*k + 1705. Determine u(-16).
9
Let h(a) = 2*a**2 + 208*a + 1619. Calculate h(-92).
-589
Let n(q) = -3276*q**2 - 203114*q - 115. Give n(-62).
9
Let h(d) = -d**3 + 435*d**2 - 7109*d - 7. What is h(17)?
-58
Let a(y) = -y**3 + 87*y**2 - 5*y - 308. Give a(87).
-743
Let w(s) = 7*s**3 + 480*s**2 - 199*s + 553. Determine w(-69).
1
Let j(s) = 23817*s - 119088. What is j(5)?
-3
Let d(s) = -3*s**2 + 151316*s + 1664816. Determine d(-11).
-23
Let h(r) = 7*r**2 - 1105*r - 15982. Determine h(171).
-250
Let u(p) = -62*p - 2815. Determine u(-74).
1773
Let g(u) = 275*u**2 - 814*u + 117. What is g(5)?
2922
Let r(f) = -2*f**3 - 208*f**2 - 817*f - 3323. Calculate r(-100).
-1623
Let v(n) = -n**2 + 344*n + 26941. Give v(-66).
-119
Let j(r) = -104*r + 21046. Give j(194).
870
Let r(t) = -2*t**3 + 5*t**2 - 45*t - 32. Calculate r(6).
-554
Let p(v) = -95030*v - 950296. Calculate p(-10).
4
Let k(c) = 1547*c - 531806. Determine k(344).
362
Let c(p) = -p**3 - 11*p**2 + 230*p + 108. What is c(11)?
-24
Let f(y) = 95764*y + 287280. Determine f(-3).
-12
Let w(l) = -5*l**2 - 254*l - 1583. Give w(-42).
265
Let s(j) = -3*j**2 - 103475*j - 2068311. Determine s(-20).
-11
Let r(p) = 35985*p + 179492. Determine r(-5).
-433
Let b(p) = p**3 + 4*p**2 - 10773*p - 3930. What is b(102)?
48
Let z(a) = -12*a**2 + 24*a + 9389. Determine z(29).
-7
Let z(o) = 5276*o + 3139182. What is z(-595)?
-38
Let v(i) = -4*i**3 + 32*i**2 + 945*i - 5962. Calculate v(6).
-4
Let f(u) = 6*u**3 + 49*u**2 + 138*u - 10. Determine f(-4).
-162
Let k(v) = v**2 - 43*v - 421. Calculate k(-8).
-13
Let o(y) = 94*y**2 + 2809*y - 291. What is o(-30)?
39
Let y(d) = -37*d**2 + 320*d + 30. Calculate y(8).
222
Let b(x) = x**3 - 568*x**2 - 957*x - 104299. Determine b(570).
11
Let | {
"pile_set_name": "DM Mathematics"
} |
rt(576)*-2).
-5 - sqrt(7)/4
Simplify sqrt(10)/(sqrt(2) - (sqrt(2) + (sqrt(512) - sqrt(2)))) + 3 + -4.
-1 - sqrt(5)/15
Simplify sqrt(68) + 1 + sqrt(1088)*2 - ((1 + sqrt(17))**2 + 2 - sqrt(187)/sqrt(99)).
-19 + 49*sqrt(17)/3
Simplify (3 + 5 + -5 + (sqrt(1584)*1 - sqrt(1584)))**2*-1.
-9
Simplify (-4 + 3*sqrt(325))**2 - (sqrt(143)/(1*sqrt(11)) + -3).
-121*sqrt(13) + 2944
Simplify (-5*(sqrt(936) + (sqrt(936) - sqrt(936)*-1) + sqrt(936) + sqrt(26)))/((sqrt(792) + -1*sqrt(792) + sqrt(22))/sqrt(11)).
-125*sqrt(13)
Simplify 1 + ((sqrt(39)*-4)/sqrt(3) - (3 + (sqrt(13) - (sqrt(13)*-1 - sqrt(13))))).
-7*sqrt(13) - 2
Simplify (sqrt(68)*-1 + 1 + 5*(sqrt(68) + 1) + sqrt(68) + sqrt(68) + 5 + sqrt(68) + 1 + sqrt(68) + 5)**2.
544*sqrt(17) + 4641
Simplify ((sqrt(255)/sqrt(5))/sqrt(3) + sqrt(17) - (sqrt(34)/sqrt(2) + 0)) + (1 + sqrt(17))**2*-2 + (1*(sqrt(17) - (sqrt(17) + sqrt(17) + 2)))**2.
-15 + sqrt(17)
Simplify (-6*(sqrt(152)*-6 - sqrt(152)))/(-6*sqrt(72) - sqrt(72) - sqrt(72))*1.
-7*sqrt(19)/4
Simplify (-2*(1 + sqrt(648) - (sqrt(54)*-4)/sqrt(3)))**2.
240*sqrt(2) + 7204
Simplify (sqrt(7) + 4 + 3 - (sqrt(70) + (sqrt(70) + (-2*sqrt(70) - sqrt(70)) - sqrt(70)))/sqrt(10))**2 + 1.
42*sqrt(7) + 113
Simplify (-3*(sqrt(136) + 3*sqrt(136))*-6)/((sqrt(648)*2 + sqrt(648))*3 - sqrt(648)).
sqrt(17)
Simplify -2*(-2*sqrt(170)*-3 + sqrt(170) + sqrt(170) - (2*sqrt(170)*-2 - sqrt(170)))/(-5*sqrt(30)/(2*sqrt(3))).
52*sqrt(17)/5
Simplify ((5*(sqrt(17) + sqrt(153)) + -1*sqrt(612))**2 + 2 + -5*(sqrt(153))**2)*3.
7707
Simplify -3 + (sqrt(304) + 0 - sqrt(1900)*2) + 5 + 1.
-16*sqrt(19) + 3
Simplify (-3 + (-6*sqrt(16)/sqrt(2))/(sqrt(576)*2 + sqrt(576)))*-4 + 5.
2*sqrt(2)/3 + 17
Simplify sqrt(156)/(sqrt(84)/(sqrt(63)/sqrt(9))) + (-2 + -2 + sqrt(13) + 0)**2.
-7*sqrt(13) + 29
Simplify -3*((-6*(sqrt(176) - (sqrt(176) - 3*sqrt(176))) - sqrt(176))**2 - (3*(sqrt(176) + 0))**2) + 0.
-185856
Simplify (-2*sqrt(152)*-5 - (4*(-2*sqrt(152) - sqrt(152)) - sqrt(152) - sqrt(152)))/(((sqrt(64) - (sqrt(64)*2 + sqrt(64)))*2 - sqrt(64))/sqrt(8)).
-24*sqrt(19)/5
Simplify 2*(((sqrt(1377) + 3 + sqrt(1377))*6 - (sqrt(1377) - (sqrt(1377) + sqrt(1377) + (-3*sqrt(1377) - sqrt(1377)) + -5))) + 1)**2.
4536*sqrt(17) + 223466
Simplify ((-2*sqrt(133) + sqrt(133))*2 + sqrt(133) - 2*sqrt(133)*-1)/((sqrt(84)*-1*-4)/sqrt(12)).
sqrt(19)/4
Simplify (-2*((sqrt(75)*2 - sqrt(75)) + sqrt(75)) - (sqrt(75) + 1)*6 - (-3*-2*sqrt(75) + -2))**2.
640*sqrt(3) + 19216
Simplify -5 + 1*sqrt(3)*1 + 2 + 4.
1 + sqrt(3)
Simplify (-4 + -3*(1 + sqrt(3)*1)**2)*3.
-48 - 18*sqrt(3)
Simplify ((sqrt(76) + sqrt(76) + sqrt(76) + -4*sqrt(76) - sqrt(76))*3)/sqrt(1764)*2.
-4*sqrt(19)/7
Simplify -5*(sqrt(35) + (sqrt(35) - ((sqrt(140) - -1*sqrt(140)) + sqrt(35) + sqrt(35))))/(sqrt(360)/sqrt(2)).
10*sqrt(7)/3
Simplify 1 + (sqrt(165)/(sqrt(27)/(sqrt(9)*-2)))/(sqrt(66)/(sqrt(48)/(sqrt(8)*-2))).
1 + sqrt(5)
Simplify (-5*sqrt(153)*4*6 + 3)*-5.
-15 + 1800*sqrt(17)
Simplify (((sqrt(88) - -1*sqrt(88)*-5) + sqrt(88) + sqrt(88))*6)/(3*(sqrt(8) + sqrt(24)/sqrt(3)) + (sqrt(80)/sqrt(2))/sqrt(5)).
-12*sqrt(11)/7
Simplify (sqrt(80) - (sqrt(80)*-2*-2 - sqrt(80) - sqrt(80)))/((sqrt(1296)*-2)/sqrt(9)).
sqrt(5)/6
Simplify ((-5*-3*sqrt(68) - ((sqrt(17) + 1*sqrt(17))*4 + (sqrt(153) + sqrt(153)*-1)/sqrt(9))) + 0)**2.
8228
Simplify (1*-6*(sqrt(187) - (sqrt(187) + sqrt(187)*-2 + sqrt(187) + sqrt(187) + sqrt(187))))/(sqrt(99) + 4*(sqrt(99)*2 - sqrt(99))).
2*sqrt(17)/5
Simplify ((-1 + sqrt(75))*4)**2 + -2 + 2*sqrt(75) + 2*sqrt(75)*-1 + -3.
-160*sqrt(3) + 1211
Simplify (1 + sqrt(704) + -1 - sqrt(66)/(sqrt(6) + sqrt(6) + sqrt(72)/sqrt(192)))**2 + 1.
50945/81
Simplify ((sqrt(76) - (sqrt(76) - -2*sqrt(76))*6)*2)/(sqrt(576)*-4).
17*sqrt(19)/24
Simplify (-5 + ((3*sqrt(605)*1 - sqrt(605)) + ((sqrt(605) - (-2 + sqrt(605) + sqrt(605)))*-5 - sqrt(605)))*3)**2.
-13860*sqrt(5) + 197245
Simplify ((sqrt(225)*-2)/sqrt(5) + sqrt(125) + 2*sqrt(125) + -4)**2 + 3.
-72*sqrt(5) + 424
Simplify ((sqrt(22)*2)/sqrt(11))**2 + sqrt(12)/sqrt(6) + -1 - ((0 + sqrt(2))*6 + ((sqrt(128)*3)**2 - sqrt(128))).
-1145 + 3*sqrt(2)
Simplify (6*5*(sqrt(343)*1 - sqrt(343))*4*2)**2*-6.
0
Simplify (sqrt(18)/(sqrt(9)*2) + sqrt(6)/sqrt(48) + 5 + 2*sqrt(2) + -1)**2*2.
44*sqrt(2) + 249/4
Simplify ((sqrt(96)*1 + sqrt(96))*-3)/sqrt(2) + (sqrt(576)/(1*sqrt(108)))**2.
-24*sqrt(3) + 16/3
Simplify (((-2*sqrt(70) + sqrt(70))*3 - sqrt(70) - sqrt(70)) + (sqrt(70) + -1*sqrt(70)*6 - sqrt(70)))/(sqrt(70)/(sqrt(7) + 1*sqrt(7))*6).
-11*sqrt(7)/3
Simplify (sqrt(637) - (6*sqrt(637) - sqrt(637)))**2 + 3 + (0 + -4 + sqrt(637) + sqrt(637))**2 + 1.
-112*sqrt(13) + 12760
Simplify -4 + ((sqrt(153) - (sqrt(153) - (sqrt(153)*-2 - sqrt(153))) - sqrt(153))/sqrt(9)*5 - (-2*sqrt(187))/sqrt(11)*1).
-18*sqrt(17) - 4
Simplify 4 + (-1*(sqrt(68)*-1 - sqrt(68)) - sqrt(68) - sqrt(68))/((sqrt(12)*-2)/sqrt(3) - sqrt(4)).
4
Simplify ((sqrt(125)*2 + 2)*2)**2 - (-2 + 1*sqrt(405) + -4 + sqrt(405)).
142*sqrt(5) + 2022
Simplify 1*(((sqrt(2299) + (sqrt(2299) - (sqrt(2299) + -5*sqrt(2299)*-2)) - (sqrt(2299)*-2 + 3))*3)**2 + -5).
4158*sqrt(19) + 1013935
Simplify ((sqrt(117) + 2)**2*-5 + -5)*5.
-3050 - 300*sqrt(13)
Simplify (0 + (sqrt(12) - 3*sqrt(48)/sqrt(4)))**2 - (sqrt(48) + -4 + ((sqrt(75) - (-1 + sqrt(75)))**2 - sqrt(3)))*4.
-12*sqrt(3) + 60
Simplify (sqrt(39) + sqrt(273)/(-4*sqrt(7)) + sqrt(39))/(sqrt(147) + (sqrt(147) - (-4*sqrt(147) + sqrt(147))) - sqrt(147))*-4*4.
-sqrt(13)
Simplify 1*((4*(sqrt(216) - -2*sqrt(216)))/(sqrt(72)/(sqrt(36)/sqrt(6) + sqrt(6) - sqrt(6))))**2.
2592
Simplify (sqrt(20)*1*-5 - sqrt(20))/(2*sqrt(70)/sqrt(7)).
-3*sqrt(2)
Simplify (5 + (sqrt(5)*2*3*1 - (0 + sqrt(500)*1 + sqrt(500))))**2.
-140*sqrt(5) + 1005
Simplify -2 + 0 + (-1*(-4 + 2*sqrt(252)))**2.
-96*sqrt(7) + 1022
Simplify 4*sqrt(63)/(sqrt(36)/sqrt(4)) - sqrt(63)/((sqrt(36)*-2)/sqrt(4)).
9*sqrt(7)/2
Simplify sqrt(171)*5 + -2*sqrt(1900) - (sqrt(133) + sqrt(133)*-3*5 - sqrt(133))/sqrt(7).
10*sqrt(19)
Simplify (2*((-2*sqrt(200) + 4 + sqrt(200))*6 + 4))**2.
-13440*sqrt(2) + 31936
Simplify (sqrt(17) + sqrt(17) + sqrt(612) + 1 + sqrt(51)/(2*sqrt(3) - sqrt(3)))**2 + 1.
18*sqrt(17) + 1379
Simplify (sqrt(294)/(1*sqrt(216)))/(sqrt(70)/(6*sqrt(160))).
4*sqrt(7)
Simplify 0 + (2*sqrt(648))/((sqrt(48)*2)/sqrt(12)).
9*sqrt(2)
Simplify (6*(sqrt(288) - (sqrt(288) + 0 + sqrt(288) + sqrt(288))) + (1 + sqrt(288))*-4)**2 + (3*sqrt(98) - (sqrt(98) + 2))**2.
1480*sqrt(2) + 74140
Simplify (-6*(-1 + (sqrt(76) - (-2 + sqrt(76) + 1) - (-1 + sqrt(76) + 2))))**2.
144*sqrt(19) + 2772
Simplify ((sqrt(396) + -2*sqrt(396))*-5 - ((sqrt(396)*1 - sqrt(396)) + -2) - ((sqrt(275)*1 - sqrt(275)) + -3 - (sqrt(275) - (sqrt(275)*1 + 3))))**2.
120*sqrt(11) + 9904
Simplify ((-2*sqrt(96)*4)/(sqrt(363) - 1*sqrt(363)*-2 - sqrt(363)))**2.
512/121
Simplify -5 + 5*(0 + sqrt(3200))*-2.
-400*sqrt(2) - 5
Simplify ((sqrt(500) + -1 - sqrt(500))*-5 - (-1 + sqrt(500)*-2) - (3 + -3*(sqrt(500) + -1)))**2.
12500
Simplify (sqrt(420)/((sqrt(144)/sqrt(4))/sqrt(3)))/(-1*sqrt(112)*-6 - sqrt(112)).
sqrt(5)/20
Simplify 2 + ((sqrt(300) - (0 + 0 + sqrt(300) + sqrt(300)))**2 + (2 + sqrt(300)*-1)**2)*-6.
-3622 + 240*sqrt(3)
Simplify (sqrt(153) - (sqrt(153) - sqrt(153)*3)*-2)/(sqrt(9) + sqrt(882)/sqrt(2)) + 0.
-3*sqrt(17)/8
Simplify (sqrt(18)/(sqrt(27)/sqrt(75)))**2 + ((1*sqrt(6))/sqrt(3) - (2*sqrt(32))**2).
-78 + sqrt(2)
Simplify -4 + ((-5 + sqrt(891) + 0 + sqrt(891))**2 - (1*sqrt(891))**2*6) + 2.
-1759 - 180*sqrt(11)
Simplify (5*(sqrt(684) + 1)*-2*2)**2*3.
14400*sqrt(19) + 822000
Simplify (0 + -3*sqrt(720)*2*3*-4)**2.
3732480
Simplify ((sqrt(224) - (sqrt(224) - (sqrt(224) + -1*(sqrt(224) + (sqrt(224) - 2*sqrt(224))))) - sqrt(224))/((sqrt(72) - (sqrt(72) - -1*sqrt(72)))*-5))**2.
0
Simplify ((1*sqrt(70)*-4 - sqrt(70) - sqrt(70))*3)/(-4*(sqrt(1000)*3 + sqrt(1000) + sqrt(1000) + sqrt(1000) + sqrt(1000)) + sqrt(1000)).
sqrt(7)/15
Simplify 2 + (2*sqrt(11))**2*1 - (sqrt(55)/sqrt(5) + -5 - -6*(-2 + sqrt(11))).
-7*sqrt(11) + 63
Simplify (((1*sqrt(252))/sqrt(12))/(-1*sqrt(108) - sqrt(108) - sqrt(108) - sqrt(3)))**2.
7/361
Simplify ((3 + sqrt(3328) + 0 - (-2 + 0 + sqrt(2548))) + 2)**2.
28*sqrt(13) + 101
Simplify (-4*(sqrt(3) - sqrt(30)/sqrt(10))*3 + -3*sqrt(48)*1)**2.
432
Simplify 2 + 0 + ((3*sqrt(68) + 3 - sqrt(68))*2)**2.
96*sqrt(17) + 1126
Simplify (((sqrt(20 | {
"pile_set_name": "DM Mathematics"
} |
3) + -107 + 39606/369?
-8/3
Calculate (-1)/1*(-295 - (311 - 580)).
26
What is (((-1450)/500)/((-90)/50))/(17/(-6) - -3)?
29/3
What is ((-21)/153*-17)/(182/3432)?
44
Evaluate 1675/39 - 331/(2078349/(-322)).
43
What is (3/15)/(3/18)*227/(16344/(-2640))?
-44
20/(10 + 1035/(-92)) + 98/2
33
Evaluate 638/132066*92 - (1 + (-41)/(-153) + -1).
3/17
What is 138/1127*7630/(-2616)*4/(-5)?
2/7
What is the value of (11 - (-819)/(-72))*(2 - 1)*4?
-3/2
Evaluate (-8073)/(-9660) - (8/(-112)*7)/(-14).
4/5
((-4991)/230 + 22)/(-9 + (-1976)/(-220))
-33/2
What is the value of (-39)/65 - (343621/(-85))/41?
98
What is 43/(14 + 23 + (-510)/15)?
43/3
Evaluate (-2250)/(31 + -76) + -42.
8
What is 4*(-84)/(11088/1518)?
-46
(-5)/4 + (-8)/(-184) + (-4046)/(-3220)
1/20
Evaluate -5*((-5200)/(-4250))/(-52).
2/17
Calculate 4950/(-396)*(-7)/15.
35/6
What is (-12)/(-15) - ((-216)/2016 - (-3938)/(-9240))?
4/3
Evaluate 168/(-105)*4740/158.
-48
What is (-1)/((-27)/2) + (-59620)/(-380484)?
3/13
Calculate (-191)/(10314/2160) - (2*-6)/1.
-28
What is the value of (-468)/(-676) + 18258/442?
42
(-8 + (-51)/(-12))/(90/24 - 4)
15
Evaluate ((-2)/(-17))/(695/(-153595)).
-26
Calculate ((-9)/(-2))/(-3)*(-2)/(4 + -16).
-1/4
What is the value of (-42)/(-693) + ((-516)/(-198) - 2)?
2/3
What is (23716/(-495))/28 - (18 + -19 - 6/9)?
-2/45
What is the value of (-1712)/(-68) + (-29631)/867 + 34?
25
Evaluate (31 - 2)/145 + ((-1)/(-4) - (-1293)/60).
22
Evaluate (20/3*-1)/(41/(40 + 83)).
-20
(232/40 - 4)*((-16830)/27)/22
-51
Calculate (-624)/68 - 111/703*-57.
-3/17
Evaluate (60/(-612))/((-2850)/684).
2/85
-70 + 7 + (-30613)/(-484)
1/4
Evaluate ((-10458)/6391)/(279/(-33)).
6/31
What is ((-40)/345)/(495/45 + 155/(-15))?
-4/23
Calculate (36708/(-115))/(-6)*(-10)/7.
-76
(-89 - (-67 + 18)) + 40
0
Evaluate -19 + (-497)/(-213)*((-22)/(-4) - 10).
-59/2
What is the value of (9/(-7))/(6/21) - (-5)/((-20)/(-6))?
-3
What is 7/((-196)/(-16))*1799/2056?
1/2
What is 99/22*(-55 + 30 + 35)?
45
Evaluate ((-21294)/(-666) + -32)*(3 - 2 - -2).
-3/37
32820/510 - (69 - 5)
6/17
(11004/(-19257))/(2/28)
-8
Calculate -2*(390/260)/(18/(-26)).
13/3
Calculate (4/((-8)/(-2)) + (-2)/4)/(23586/(-534616)).
-34/3
Evaluate ((-804)/(-14))/(-1) - 10250/4305*(-6)/(-25).
-58
Evaluate (-85)/(1190/(-588)) + -28 + -9.
5
What is (121 - 79)/(78/(-208))?
-112
1/(44 + -16 - (-9750)/(-348))
-58
Calculate ((-14)/(-3))/((((-16555)/129)/(-77))/((-10)/4)).
-7
What is 2275182/67392 + (-9)/96?
101/3
Evaluate (0/202)/(2 + 1 + -5) + -43.
-43
Calculate ((2 - 32/22) + 4554/22264)/(45/(-168)).
-14/5
Evaluate (11 - -5)*(-2 - -3*979/1452).
4/11
-1*113/(-78) - 552/368
-2/39
What is -143 - 833*202/(-1717)?
-45
What is 40/50 + 15072/1360 + -12?
-2/17
123/(1066410/(-693660)) + 80
-2/289
What is the value of ((-290192)/25910)/((-2)/(-5))?
-28
Evaluate 1*(2 + 59)*(-63 + 140 - 78).
-61
Calculate 32 + -525*(46992/3120 + -15).
-4/13
What is the value of 63/1*-17*(-165)/(-137445)?
-9/7
What is the value of 236/(-28) + (109 - 103) - (-8)/(40/(-15))?
-38/7
Evaluate ((-144)/60480*-120)/(11/(-14)).
-4/11
What is the value of (-8*5500/(-3360) - 18) + 6/(-63)*1?
-5
Calculate (-12)/(-5)*(47*1 - 691670/8610).
-80
What is the value of 224 - 3737/37 - (-2)/((-2)/(-17))?
140
-2*1*((5355/306 - (-1 - -29)) + 3)
15
Calculate 7/(-11 - (-16819)/1452).
12
What is ((-110)/(-418) - 1/3)*-6*24/32?
6/19
What is the value of -2*(-1)/7*(-544460)/1205590?
-4/31
Evaluate -46 + 89 + 90 + -116.
17
Calculate 21*(-2436)/167580 - (-3)/15.
-2/19
6/4 + 12*(-140)/7392*22
-7/2
What is (20/450)/(261/(-9396))?
-8/5
Evaluate 196/(-78) + (-199)/((-4378)/(-4))*88/(-6).
2/13
((-936)/(-252) + (-10)/14)*14/(168/(-188))
-47
What is (166/6)/(-23 - ((-770)/(-3))/(-11))?
83
Evaluate -253*4/(-44) + 1323/(-57).
-4/19
Evaluate ((-2337)/(-1254))/((-7)/(-154)).
41
439916/255585 + (-48)/33
4/15
Evaluate (-1 - -36)*(-48 + 2952/63).
-40
What is (-20)/(-70)*(224/40 + -7)?
-2/5
What is the value of ((-224)/210)/(8/20)*69/14996?
-2/163
(-8 + 489/60)*-4*(112/(-6))/(-4)
-14/5
9*-1*((-42)/(-18) - (340/(-15) + 27))
18
What is (1120/(-66))/(1386/8316) - (-4)/(-22)?
-102
Evaluate (-162)/(-270) + (-808)/330 + (282/(-22) - -13).
-5/3
What is the value of (5/4 + (61515/5500)/(-9))*(-191 + 192)?
2/275
Calculate (-2)/(-28)*(15 + 43) - 5/35.
4
Calculate ((-33)/297)/(-3*(-13)/(-780)).
20/9
Calculate (6 - (-12 - 800/(-60)))*12/378.
4/27
Evaluate 6 + -1 + 650/(-38) + 12 - 10/(-38).
3/19
Evaluate (1*(-30)/(-348))/((-13205)/(-15846)).
3/29
Calculate 149/((-54236)/104) + (1 - (-46)/(-35)).
-3/5
((-68)/((-8976)/234))/(30/(-110))
-13/2
Evaluate (-135)/(-68) - (-405)/27540.
2
Evaluate 1520/(-80) + 24 + -6 + 1.
0
Calculate (-28*(-3)/8)/(((-1218)/(-28))/29).
7
Evaluate (-26224)/11920 + 1*(-9)/(-15).
-8/5
What is 1/2*(2380/22 + (-16821)/(-231) + -73)?
54
Calculate (68/(-187))/((-44)/3146).
26
((-85)/(-34))/((-890)/20648)
-58
Evaluate (1644/1370*1/3)/(2/85).
17
Calculate (-33 + 12420/378)*(1/(-2))/(1581/434).
1/51
What is the value of (1491/(-105) - (-4 + 10 - 22))/((-6)/(-260))?
78
What is the value of (-2187)/(-324)*1276/87?
99
What is the value of (133/(-35) + 5)*-10 - (-769958)/64113?
2/213
Calculate (-261135)/(-5805) - 62/(-3999).
45
Evaluate 14355/360 + -40 + 383/(-8).
-48
1014/(-156)*((-6)/15 - (-147)/455)
1/2
What is the value of (-130611)/2364 - 1209/(-52)?
-32
Evaluate ((1 + (0 - 0))*(-30)/250)/((-706)/(-7060)).
-6/5
What is 80/(-15)*(-621)/(-276)?
-12
((-24)/1624)/((-2506)/49 - -52)
-1/58
Evaluate -9*(-38 - -51 - (-77)/(-6))*-16.
24
What is the value of ((-189)/(-105))/((-1743)/(-9130))?
66/7
Calculate ((-123858)/(-353880))/((-14)/(-384)).
48/5
Calculate 10359/138 - (-65 - -140).
3/46
Evaluate (-2482)/272*(5 + (-2410)/410) - (-24)/(-3).
1/82
Calculate (10 - (-6448)/(-651))*12.
8/7
3/(-8) - 307749/(-4856)
63
Evaluate (((-7)/(-14))/(1330/(-60) - -22))/((-6)/182).
91
(-3157)/(-41) - -13 - 139
-49
Calculate (1 + 16 - (75 + 26128/(-460)))/((-18)/70).
14/3
54 - 160/((-7200)/(-2295))
3
What is the value of (-60)/(-18)*6498/(-15884)?
-15/11
70/25 - (-2040)/(-850)
2/5
What is the value of (-154 - -204) + 8/(8/(-3))?
47
Calculate (-47*(-27)/15228)/((-166)/(-80) + -2).
10/9
Calculate (((-639)/(-71994))/(18/(-39)))/((-2)/4).
1/26
What is (-135)/(-162) + (-20)/6 + 63/(-2)?
-34
What is ((-2 + 4)*2*460/240)/(2/(-6))?
-23
What is the value of 1/(-2*2/(-18) + (-157458)/800982)?
39
(-4)/46 - 550788/(-190785)
14/5
What is the value of -3 + 244/(-16) - ((-4921)/148 + 34)?
-19
(-210)/(-420)*5/2 + (-65)/(-10)
31/4
What is ((-345)/(-30) + -11)*(-67872)/(-303)?
112
Evaluate (1/(-18))/(3 - (-16244)/(-5502)).
-7/6
What is (-5)/(-410)*205*288/15?
48
Evaluate (-9)/(-6)*19*(-30)/(-855) - 2.
-1
What is (-411714)/(-9612) - (45 + -2)?
-1/6
Calculate (-2)/17 - (-328436)/772174.
4/13
Evaluate 25/3 - (-196859)/(-31083).
2
(((-364)/45)/(-13) - (-18)/(-45)) + 3512/72
49
Evaluate -147 - -117 - (-1142)/38.
1/19
What is (3/(-4) + 1)/((-490)/41405 + (-22)/(-4056))?
-39
Calculate (-462)/(-4950) + -3 + 88/33.
-6/25
Calculate (9/(-126))/(49 + (-418420)/8540).
-61/4
What is the value of (3/(-16) + ((-67445)/1680 - -38))*39?
-91
What is (9/30)/(5 - 8) - (-14 - (-21686)/1540)?
-2/11
What is 4*(-1)/28 - ((-2052)/(-105))/(159/(-530))?
65
(-148 - 1) + (44758 - 44658)
-49
What is the value of (43/(1548/702))/((-33)/198)?
-117
Evaluate 4/(44/77)*192/(-1176).
-8/7
What is 3*(4 + 5244/(-72))*2*6/(-168)?
59/4
Calculate 3/2*(-50)/(-855)*224/(-560).
-2/57
What is the value of 10/8*(-17 + 25140/1500)?
-3/10
What is 1386/2709 + (-3)/2*((-375)/(-45) + -8)?
1/86
What is (-126)/(-6) + 81/(-36)*256/(-48)?
33
What is the value of (-28 + 8220/150)*20/(-6)*(-447)/298?
134
Evaluate 56 - (1270/90 + (-806)/(-279)).
39
(-29997)/(-5555) + 3/(270/(-526))
-4/9
Evaluate (-31 + -5 + 34 + 14/5)/((-22)/(-10)).
4/11
What is 17 - (36008/644 - 39)?
2/23
(9 + 57/(-5))/(236/(-59))
3/5
(-200)/(-170)*(-8194)/964
-10
What is (3 - 27) + -16 + 134 + -26?
68
What is the value of ((-66)/(-12)*-6)/(2537/(-86) - -30)?
-66
What is (7/140*12)/(-8 - (-4563)/325 - 6)?
15
Calculate (-236)/177*(9/(-3) + 1 + 3 + 2).
-4
What is (-266724)/3255 - -87 - 5/1?
2/35
(-54*(-35)/(-54270))/(7/(-9))
3/67
(-4)/(16/612)*(-87)/(-261)
-51
Calculate (-4 + 1302/324)/(28/126).
1/12
((-2898)/920*90/(-27))/(-1 - 20/(-16))
42
What is -16 - (17*16/544)/((- | {
"pile_set_name": "DM Mathematics"
} |
3?
39
Calculate the remainder when 12385 is divided by 117.
100
Calculate the remainder when 27366 is divided by 599.
411
Calculate the remainder when 413104 is divided by 77.
76
Calculate the remainder when 56825 is divided by 6313.
8
Calculate the remainder when 5594 is divided by 1371.
110
Calculate the remainder when 24638 is divided by 18.
14
Calculate the remainder when 28180 is divided by 61.
59
What is the remainder when 77600 is divided by 77?
61
Calculate the remainder when 4228 is divided by 2095.
38
What is the remainder when 4340 is divided by 14?
0
What is the remainder when 85805 is divided by 765?
125
Calculate the remainder when 98394 is divided by 2236.
10
What is the remainder when 41021 is divided by 539?
57
Calculate the remainder when 6030 is divided by 2010.
0
Calculate the remainder when 7274 is divided by 1512.
1226
What is the remainder when 13738 is divided by 162?
130
Calculate the remainder when 60206 is divided by 795.
581
Calculate the remainder when 7975 is divided by 59.
10
Calculate the remainder when 19906 is divided by 28.
26
What is the remainder when 589300 is divided by 196420?
40
Calculate the remainder when 6920 is divided by 1584.
584
Calculate the remainder when 4736 is divided by 776.
80
What is the remainder when 1790 is divided by 251?
33
Calculate the remainder when 2719 is divided by 623.
227
What is the remainder when 2861 is divided by 100?
61
Calculate the remainder when 189256 is divided by 346.
340
What is the remainder when 7723 is divided by 1016?
611
Calculate the remainder when 21849 is divided by 5401.
245
Calculate the remainder when 94484 is divided by 14.
12
Calculate the remainder when 1082 is divided by 104.
42
Calculate the remainder when 1175 is divided by 881.
294
What is the remainder when 70393 is divided by 100?
93
Calculate the remainder when 1955 is divided by 331.
300
What is the remainder when 2711 is divided by 539?
16
Calculate the remainder when 7711 is divided by 301.
186
What is the remainder when 9177 is divided by 2200?
377
Calculate the remainder when 80889 is divided by 128.
121
What is the remainder when 42632 is divided by 42626?
6
What is the remainder when 3465 is divided by 864?
9
What is the remainder when 5274 is divided by 1333?
1275
What is the remainder when 16766 is divided by 543?
476
What is the remainder when 7344 is divided by 115?
99
Calculate the remainder when 402 is divided by 133.
3
What is the remainder when 6740 is divided by 750?
740
What is the remainder when 98715 is divided by 20?
15
Calculate the remainder when 24063 is divided by 6.
3
Calculate the remainder when 804 is divided by 107.
55
Calculate the remainder when 140009 is divided by 625.
9
Calculate the remainder when 481948 is divided by 918.
916
Calculate the remainder when 49586 is divided by 4958.
6
What is the remainder when 141478 is divided by 1199?
1195
Calculate the remainder when 78489 is divided by 211.
208
What is the remainder when 38986 is divided by 33?
13
What is the remainder when 12705 is divided by 903?
63
Calculate the remainder when 75838 is divided by 426.
10
Calculate the remainder when 6557 is divided by 271.
53
What is the remainder when 151447 is divided by 18926?
39
Calculate the remainder when 9430 is divided by 449.
1
Calculate the remainder when 24437 is divided by 8.
5
Calculate the remainder when 81920 is divided by 1242.
1190
What is the remainder when 32626 is divided by 10875?
1
What is the remainder when 837 is divided by 104?
5
Calculate the remainder when 1872 is divided by 859.
154
What is the remainder when 33750 is divided by 154?
24
What is the remainder when 39069 is divided by 953?
949
What is the remainder when 3111 is divided by 282?
9
What is the remainder when 1958 is divided by 649?
11
Calculate the remainder when 7111 is divided by 37.
7
What is the remainder when 9005 is divided by 695?
665
What is the remainder when 296852 is divided by 23?
14
Calculate the remainder when 641 is divided by 545.
96
What is the remainder when 12319 is divided by 568?
391
Calculate the remainder when 13350 is divided by 4275.
525
Calculate the remainder when 26796 is divided by 933.
672
Calculate the remainder when 757689 is divided by 17.
16
Calculate the remainder when 1979 is divided by 722.
535
Calculate the remainder when 272049 is divided by 446.
435
What is the remainder when 1629503 is divided by 27?
26
What is the remainder when 7018 is divided by 631?
77
Calculate the remainder when 4463 is divided by 112.
95
Calculate the remainder when 105400 is divided by 3100.
0
What is the remainder when 583 is divided by 204?
175
What is the remainder when 2371 is divided by 125?
121
What is the remainder when 9639 is divided by 92?
71
Calculate the remainder when 1090 is divided by 1019.
71
Calculate the remainder when 22218 is divided by 332.
306
Calculate the remainder when 399 is divided by 108.
75
What is the remainder when 20374 is divided by 72?
70
Calculate the remainder when 199944 is divided by 1290.
1284
What is the remainder when 1887 is divided by 11?
6
What is the remainder when 1627 is divided by 10?
7
Calculate the remainder when 1789 is divided by 151.
128
What is the remainder when 32476 is divided by 224?
220
What is the remainder when 4116 is divided by 71?
69
What is the remainder when 22633 is divided by 198?
61
What is the remainder when 6772 is divided by 670?
72
What is the remainder when 134327 is divided by 190?
187
What is the remainder when 1182650 is divided by 2178?
2174
What is the remainder when 1797 is divided by 182?
159
Calculate the remainder when 103140 is divided by 5730.
0
What is the remainder when 1779 is divided by 175?
29
Calculate the remainder when 19433 is divided by 30.
23
Calculate the remainder when 50727 is divided by 936.
183
Calculate the remainder when 67712 is divided by 57.
53
Calculate the remainder when 424139 is divided by 951.
944
What is the remainder when 12680 is divided by 42?
38
What is the remainder when 13067 is divided by 6531?
5
What is the remainder when 16726 is divided by 7011?
2704
Calculate the remainder when 1297999 is divided by 29.
17
What is the remainder when 46815 is divided by 22?
21
Calculate the remainder when 24684 is divided by 2054.
36
Calculate the remainder when 2980821 is divided by 77.
74
Calculate the remainder when 5132 is divided by 1089.
776
What is the remainder when 1890 is divided by 340?
190
What is the remainder when 68583 is divided by 15?
3
What is the remainder when 1219 is divided by 492?
235
What is the remainder when 7312 is divided by 1826?
8
What is the remainder when 16816 is divided by 6?
4
Calculate the remainder when 8126 is divided by 174.
122
What is the remainder when 13111 is divided by 79?
76
What is the remainder when 337828 is divided by 5042?
14
What is the remainder when 3185 is divided by 465?
395
What is the remainder when 30971 is divided by 15484?
3
What is the remainder when 14993 is divided by 12?
5
Calculate the remainder when 6156 is divided by 22.
18
Calculate the remainder when 165451 is divided by 34.
7
Calculate the remainder when 2623 is divided by 271.
184
What is the remainder when 15854 is divided by 2258?
48
Calculate the remainder when 1570 is divided by 60.
10
What is the remainder when 32341 is divided by 2483?
62
Calculate the remainder when 2788 is divided by 19.
14
Calculate the remainder when 2230 is divided by 551.
26
Calculate the remainder when 18079 is divided by 1794.
139
Calculate the remainder when 1411 is divided by 281.
6
What is the remainder when 29758 is divided by 29?
4
Calculate the remainder when 731 is divided by 140.
31
What is the remainder when 292721 is divided by 17?
15
What is the remainder when 45274 is divided by 422?
120
Calculate the remainder when 2829 is divided by 497.
344
Calculate the remainder when 70496 is divided by 1160.
896
What is the remainder when 27877 is divided by 13932?
13
Calculate the remainder when 357982 is divided by 16.
14
What is the remainder when 711 is divided by 21?
18
Calculate the remainder when 40177 is divided by 10.
7
Calculate the remainder when 1440 is divided by 51.
12
What is the remainder when 13842 is divided by 39?
36
Calculate the remaind | {
"pile_set_name": "DM Mathematics"
} |
e -3*x - 2*o + 3 = 0, 2*x - 2*o + 1 + 7 = 0 for x.
-1
Solve -2*w = 4*r - 4, 1 = 5*r + w - 1 for r.
0
Solve -4*c - 4*h = -4, 0 = 11*c - 6*c + 3*h - 13 for c.
5
Solve 3*u + 5*g - 6 = 0, -4*u = -g + 29 - 14 for u.
-3
Solve -44*u - 5*x - 3 = -41*u, x - 4 = 4*u for u.
-1
Solve s - j + 4 = 0, -25*s + j + 2 = -26*s for s.
-3
Solve -9*m = -12*m - 5*g + 4, g + 1 = 0 for m.
3
Solve 4*t + 5 = 3*t, -2*i + 2*t = -10 for i.
0
Solve 0*x - 8 = -4*x, 3*b + 2*x = 1 for b.
-1
Solve -2*x = -3*x - 4*v - 10, -5*x + 2*v = 6 for x.
-2
Solve -4*v = -2*d - 40, 84*d - 79*d + 35 = -3*v for d.
-10
Solve 0 = u + 3*l - 13, 0 = -u - 0*u - 5*l + 23 for u.
-2
Solve 5*r + 43 - 3 = 5*i, 4 = 4*r + 5*i for r.
-4
Solve -4*c - 3 = -19, 3*c = -2*d + 6 for d.
-3
Solve 2*w + 34 - 46 = 5*j, -w = -j for w.
-4
Solve -3*a - 5*p = 1, 2*p - 2 = -5*a + 3*a for a.
3
Solve -5*w = -2*q, 0*w = w + 5*q for w.
0
Solve -5*d = 5*a + 5, -2*a + 6*a = -2*d for a.
1
Solve 0 = -2*p + 3*c - 6, -c + 2*c - 2 = 2*p for p.
0
Solve -1 = -d, -5*t + 1 - 9 = 2*d for t.
-2
Solve 4*c = 3*h + 10, -7*h + 4*h - 5*c = 1 for h.
-2
Solve -2*h - 3*f = -4*h - 5, 0 = 3*h + f + 2 for h.
-1
Solve -258*b + 3 = -255*b, z - b = -4 for z.
-3
Solve 38 = 5*w + 5*a - 7, 2*w - a = 3 for w.
4
Solve -p + 6 = y + 2*p, -y = 4*p - 8 for y.
0
Solve 11*o + 3*g = 14*o + 24, -3*g + 9 = 2*o for o.
-3
Solve 2*t + j = -4, -5*j - 12 = -0*t + 2*t for t.
-1
Solve -5*o - 5*l - 4 - 6 = 0, 4*o - 3*l + 15 = 0 for o.
-3
Solve 8*a + 35 = 5*a - 4*m, -2*a + 2*m = 0 for a.
-5
Solve -20 = -4*c + 2*v, -c + 54*v - 9 = 57*v for c.
3
Solve 5*w = 5*l - 45, -3*l + 0*l + 15 = 0 for w.
-4
Solve 3*d - 39 + 32 = 5*t, 0 = -t + 2*d - 7 for t.
1
Solve 3*w - 3*x = 9, -w - 8 + 10 = -2*x for w.
4
Solve y = 22*b - 23*b, 2*b + 5*y = 0 for b.
0
Solve 5*g - 40 = -5*h, -4*h = g + 4*g - 36 for g.
4
Solve 4*p = -3*t - 11, 0*p - 3*t = 2*p + 7 for p.
-2
Solve -8*u = 3*o - 5*u, -5*o + 3*u = -40 for o.
5
Solve 0 = t + 4 - 3, 2*t = -4*x + 2 for x.
1
Solve 0 = 3*c + 2*t + 8, -4*c + t + 1 = -3 for c.
0
Solve -269*w + 273*w = -8*o - 28, 5*o = -3*w - 19 for o.
-2
Solve -2*a + 9 = -3*d, -2*d + 8*a = 3*a + 17 for d.
-1
Solve 4*t - 2 = n, 9 = 3*t + 34*n - 31*n for t.
1
Solve 0 = -2*d - 5*q + 16, 37*d - 4 = 33*d - 3*q for d.
-2
Solve -4*a = -5*r + 40 - 80, 0 = 2*a for r.
-8
Solve 8*z + 6 = -w + 10*z, -1 = z for w.
-8
Solve a = -92*l + 88*l - 24, -3*l - 15 = 0 for a.
-4
Solve 2*r + 4*i + 16 = 0, -5*r - 3*i + 2*i - 13 = 0 for r.
-2
Solve 6 = -i + 2*i - 2*j, 5*i = -4*j + 2 for i.
2
Solve 0 = 2*r + 4*z - 24, -2*r = 2*z + 1 - 17 for r.
4
Solve 2 = -5*c - 4*h, 2 = -3*c - 5*h - 7 for c.
2
Solve 23 = 5*b - 4*k, 22*b - 18*b - 5*k = 22 for b.
3
Solve 3*u = -r + 5, -5*r + 5*u - 7 - 28 = 0 for r.
-4
Solve -o + t + 2 = 0, t = 5*o - 9 - 9 for o.
4
Solve -3*c - 5*w = -3*w - 11, 2*c - 20 = 5*w for c.
5
Solve 0 = -3*u + 4*b + 10, -8*b = -u - 4*b + 6 for u.
2
Solve 2*q + 16 = -4*v, q - 8*v = -4*v + 4 for q.
-4
Solve 2*h - 34*b - 14 = -32*b, -38 = -2*h + 5*b for h.
-1
Solve 0 = u - 4*t - 1, 5*t + 7 = -3*u + 7*t for u.
-3
Solve -11 = 4*r - 3*n, 5*r - 3*r + 4*n = 0 for r.
-2
Solve 0 = -c - i + 2, 2*c - 65*i + 62*i = -16 for c.
-2
Solve 5*m - 6 = v, 2*m + 12 + 6 = -3*v for m.
0
Solve 0 = -s + 2*d, -3*s + 6*s = -2*d + 8 for s.
2
Solve -2*l = -3*p + 9, -14*l - 3*p = -20*l - 9 for l.
0
Solve -3*v + 3*z = 12, 6*v = 11*v - 6*z + 24 for v.
0
Solve -22 = -2*l + 2*k - 4, 5*l + 5*k = 5 for l.
5
Solve 5*l + 30 = -17*s + 12*s, 0 = 3*s + l + 12 for s.
-3
Solve -2*v - 8 = 2*t, -4*v + 5*t - 2*t + 12 = 0 for v.
0
Solve 0 = 5*v + 10, -5*v - 8 = 3*c + 8 for c.
-2
Solve -2*p = 6*n + 19 - 27, -6 = -2*n for p.
-5
Solve 3*u + 3 = -4*o - 0, 0 = o - 2*u - 13 for o.
3
Solve 37*j = 3*h + 35*j + 3, -h - 12 = 3*j for h.
-3
Solve -170 + 177 = -5*v + 4*p, 4*p - 1 = 3*v for v.
-3
Solve 288 - 283 = 3*y + 4*c, 4*y = 5*c - 45 for y.
-5
Solve 5*h + 5*l = 0, -3*l - 3 - 2 = 2*h for h.
5
Solve -10 = 3*w + 5*t, -5*w - 11 = 3*t - 5 for w.
0
Solve -2*o = 90*q - 87*q + 6, 2*q + 2*o = -4 for q.
-2
Solve 3*q = 5*w + 10, -w - 27 = 4*q - 2 for q.
-5
Solve -16*w - 4*y + 3 = -15*w, -15 = 5*w + 5*y for w.
-5
Solve -5*s + 2 + 2 = h, -2*h + 2 = 4*s for h.
-1
Solve -4*w = 3*i + 16, 92 - 114 = 5*i + 2*w for i.
-4
Solve -8*o + 4*o = 4*n - 20, -n - 3 = -3*o for o.
2
Solve -6*v + 8*v + 2 = -2*g, -4*g = -2*v - 20 for g.
3
Solve 3*y + 2 = 2*p, 1 = 5*y - 3*p + 4 for y.
0
Solve -z = -3*z + d - 7, 0 = 2*z - 5*d + 27 for z.
-1
Solve -j + 25 = -6*j + 5*z, 0 = j - 4*z + 17 for j.
-1
Solve 9*p + 11 = 6*p + 4*n, 0 = 4*p - 2*n + 18 for p.
-5
Solve 7*i = 12*i + 15, 7 = t - i for t.
4
Solve -2*a + 5*j + 10 = -0*a, -j - 9 = a for a.
-5
Solve 11 = 2*c - 3*a, -13*c = -8*c + a - 19 for c.
4
Solve -3*a = -5*l + 37 - 52, 4*a + 9 = -3*l for l.
-3
Solve -24 = 3*v - 3*p, 0 = 3*v - 5*p + 9*p + 10 for v.
-6
Solve 12*b - 13*b - 4*l = -23, -2 = b - l for b.
3
Solve -4*b - 4*i + 16 = 0, -8 = 4*b + 8*i - 12*i for b.
1
Solve 4*b = 4*n + 28, 0 = 5*b - 8*b + 6 for n.
-5
Solve 0 = 2*b - 3*x + 12, 4*b = -x - 16 + 6 for b.
-3
Solve p - 6 = 0, g - p + 13 = 4 for g.
-3
Solve 0 = 5*o + t + 3, o + 4 = -3*t + 9 for o.
-1
Solve -2*h - 2*n + 2 = 0, h + n - 16 = -3*h for h.
5
Solve -9*u + 13*u - 5*r + 20 = 0, -r = u - 4 for u.
0
Solve -5*a = 4*b - 36, -2*b = -b + a - 8 for b.
4
Solve -4*m = -2*g + m - 26, 5*m - 32 = 4*g for g.
-3
Solve 5*b + 2*k - 10 = 0, -3*k + 4*k = -b + 2 for b.
2
Solve 46*x - 3*j = 43*x, 10 = 2*x - 4*j for x.
-5
Solve -2*g - 53 = -5*c - 34, c - 9 = 3*g for g.
-2
Solve 2*p + 0*b - 14 = 2*b, 12 = -3*b for p.
3
Solve 0 = k + 2*c - 3, 2*k = 5*c + 10 - 31 for k.
-3
Solve l - 4*x = -4 - 8, -6 = -4*l - 2*x for l.
0
Solve 5*i + 2*l = 24, -18 = -2*i - 4*l - 2 for i.
4
Solve -3*z + 0*z + 3*a = -21, -3*z + 4*a + 26 = 0 for z.
2
Solve 4 = -2*b + g + 3, -2*b = 3*g + 5 for b.
-1
Solve -4*y = 6*n - 3*n - 12, 4*n - y = -3 for n.
0
Solve -4*w - 12*j + 7*j = -25, 2*j - 17 = -3*w for w.
5
Solve 4*m = -6*f + f - 17, 5*f = -5*m - 15 for f.
-5
Solve 5*z - 2 = -i - i, 0 = 5*i + 4*z - 5 for i.
1
Solve 5*j = -5*v - 35, 27*j - 9 = 30*j - v for j.
-4
Solve 2*q = -2*d - 16, 7*q - 6*q + 14 = -3*d for d.
-3
Solve 6 = g - 3*c, 2*c + 4 = -5*g + 3*g for g.
0
Solve -23 = -2*c + 3*k - 4, -1 = -3*c - k for c.
2
Solve 2*a = -5*v - 15, -5*a + 27 = -4*v - 18 for v.
-5
Solve -3*z - l = 7 + 9, -4*l = 4*z + 24 for z.
-5
Solve 4*v = -5*p + 7*v + 30, 3*v = 3*p - 24 for p.
3
Solve 3*m - 89 = -4*c - 85, -2*m - 5*c - 2 = 0 for m.
4
Solve -3*a = -4*h - 35, 7*a = -5*h + 2*a for h.
-5
Solve j + 3*q - 1 = 0, 13*j + 6 = 8*j - 4*q for j.
-2
Solve 0 = -3*f + 12, 2*f + 9 = -2*k + 23 for k.
3
Solve -5*m + 14 = -l - 3*l, -3*l - 11 = -4*m for m.
2
Solve -5*n = -2*p, 2*n - 11*p + 16 = -7*p for n.
2
Solve -2*l + 4*q - 17 - 11 = 0, l = -4*q + 16 for l.
-4
Solve -5*f + 37 = 4*l, 2*l + 2*f = l + 13 for l.
3
Solve 8*f - 7 = 5*f + 5*r, 2*f = 4*r + 6 for f.
-1
Solve 2*l + 10 = 0, -5*l - 25 = -2*j + 3*j for j.
0
Solve 3*b + 6 = 4*y, 2*y - 22 + 2 = -7*b for y.
3
Solve 5*t = 3*x + 4*t, 3*t = -2*x - 11 for x.
-1
Solve 0 = 3*f - 5*o + 5, -f - 25 = 2*f + 5*o for f.
-5
Solve -4*y + 8*f = 3*f + 27, 3*y = 3*f - 18 for y.
-3
Solve 0 = d - 2*a, -4*a = 5*d - 5*a + 18 for d.
-4
Solve 5*g = 5*y + 40, 97 = 3*g + 2*y + 88 for g.
5
Solve y + 5*a = -20, 9*a + 16 = 5*y + 5*a for y.
0
Solve 3*t + h + 17 = 0, 6 = -4*t - 6*h + 8*h for t.
-4
Solve 4*g + 12*i + 18 = 14*i, -3*g = -5*i + 31 for g.
-2
Solve -4*j = 3*p + 13, -5*p = -0*p - 4*j - 21 for p.
1
Solve 4*o + 35 = -5*w, -5*w - 20 = 7*o - 6*o for w.
-3
Solve -15 = -y - 4*x, 3*y + 40 = -y + 4*x for y.
-5
Solve 2*t = -3*i - 1, 0*i + 2*t - 12 = 10*i for i.
-1
Solve -2*b - 8 = 3*i - 17, -5*i - 10 = -5*b for i.
1
Solve 2*o + 2*j - 12 = 0, 5*o + 7*j = 3*j + 28 for o.
4
Solve 17 + 1 = 4*f - 2*k, 0 = 5*k + 25 for f.
2
Solve 8 = -5*w - 2*l + 9, -4*w = -3*l + 13 for w.
-1
Solve -3*u = 5*a + 12, -8*a + 3*u = -5*a + 12 for a.
-3
Solve -4*q + 3*m + 24 = 0, -2*m - 8 + 0 = 0 for q.
3
Solve 13 = p - 4*r, 2*p - 8*r + 4*r - 10 = 0 for p.
-3
Solve 2*t - 15 = 2*d - 13, -4*t = -5*d + 1 for d.
5
Solve 3*y = 5*j + 34, -4*y + 5*j + 7 = 6*j for y.
3
Solve 5*w + 12*g + 5 = 11*g, 4*w + 15 = -3*g for w.
0
Solve -3*v + 5*o - 20 = 0, -v - 123*o = -126*o + 8 for v.
-5
Solve v + 14 = -0*v - 3*k, 4*v + 14 = -5*k for v.
4
Solve -4*s + 0*r - 5*r - 3 = 0, | {
"pile_set_name": "DM Mathematics"
} |
ds digit of 3222720551?
0
What is the ten thousands digit of 74703856?
0
What is the units digit of 9280622?
2
What is the ten millions digit of 182206906?
8
What is the hundred thousands digit of 14400334?
4
What is the ten millions digit of 1004773115?
0
What is the ten thousands digit of 212821267?
2
What is the hundreds digit of 580783470?
4
What is the ten thousands digit of 373078834?
7
What is the hundred thousands digit of 214889680?
8
What is the hundred millions digit of 1448485926?
4
What is the millions digit of 632046694?
2
What is the billions digit of 4883318208?
4
What is the billions digit of 5917802712?
5
What is the hundreds digit of 941334626?
6
What is the millions digit of 2803568410?
3
What is the thousands digit of 117860451?
0
What is the thousands digit of 428425695?
5
What is the billions digit of 1489599687?
1
What is the ten thousands digit of 62876249?
7
What is the tens digit of 2690939037?
3
What is the ten millions digit of 6413728300?
1
What is the units digit of 222622818?
8
What is the units digit of 130340264?
4
What is the hundreds digit of 1981078064?
0
What is the ten thousands digit of 142718274?
1
What is the billions digit of 2450617863?
2
What is the hundreds digit of 126978879?
8
What is the thousands digit of 4400945327?
5
What is the hundreds digit of 2204080334?
3
What is the ten millions digit of 55114788?
5
What is the millions digit of 138839340?
8
What is the hundred millions digit of 2582021542?
5
What is the ten thousands digit of 1665193529?
9
What is the units digit of 86823219?
9
What is the units digit of 4174781838?
8
What is the tens digit of 83909162?
6
What is the tens digit of 34367947?
4
What is the hundreds digit of 1916257591?
5
What is the ten millions digit of 433996638?
3
What is the thousands digit of 1191153761?
3
What is the millions digit of 392514202?
2
What is the hundred millions digit of 172830417?
1
What is the hundred millions digit of 2810845263?
8
What is the hundred millions digit of 286687921?
2
What is the ten millions digit of 844452288?
4
What is the thousands digit of 5332843615?
3
What is the hundred millions digit of 572221234?
5
What is the hundreds digit of 1842849?
8
What is the ten millions digit of 39760828?
3
What is the thousands digit of 80622391?
2
What is the hundred millions digit of 360057154?
3
What is the tens digit of 2162892720?
2
What is the ten millions digit of 61448040?
6
What is the tens digit of 33358215?
1
What is the hundreds digit of 2531484543?
5
What is the thousands digit of 1674196258?
6
What is the thousands digit of 1092462880?
2
What is the ten thousands digit of 678559756?
5
What is the hundred millions digit of 374655563?
3
What is the tens digit of 115353687?
8
What is the tens digit of 2102108915?
1
What is the millions digit of 18369134?
8
What is the hundred thousands digit of 48818645?
8
What is the ten millions digit of 351730810?
5
What is the units digit of 4493924065?
5
What is the hundred thousands digit of 36155892?
1
What is the billions digit of 1335995886?
1
What is the ten millions digit of 27505321?
2
What is the millions digit of 198166779?
8
What is the ten millions digit of 1509026308?
0
What is the billions digit of 8707289537?
8
What is the millions digit of 2921735490?
1
What is the tens digit of 39312646?
4
What is the millions digit of 435315975?
5
What is the millions digit of 1527415033?
7
What is the millions digit of 568424840?
8
What is the hundreds digit of 4182971279?
2
What is the thousands digit of 4991606?
1
What is the tens digit of 19454797?
9
What is the units digit of 216731391?
1
What is the tens digit of 72671188?
8
What is the ten thousands digit of 318018924?
1
What is the millions digit of 9282505933?
2
What is the tens digit of 42484668?
6
What is the thousands digit of 787591823?
1
What is the tens digit of 34034082?
8
What is the billions digit of 3728494931?
3
What is the tens digit of 213100207?
0
What is the ten thousands digit of 1077292803?
9
What is the hundreds digit of 78430098?
0
What is the hundreds digit of 2755707796?
7
What is the ten millions digit of 33124599?
3
What is the tens digit of 10825677?
7
What is the thousands digit of 1147585253?
5
What is the ten thousands digit of 184174577?
7
What is the hundred thousands digit of 4106884914?
8
What is the units digit of 8773900?
0
What is the tens digit of 90604061?
6
What is the millions digit of 25282815?
5
What is the ten thousands digit of 1164745344?
4
What is the hundred thousands digit of 569811533?
8
What is the ten millions digit of 18307314?
1
What is the units digit of 181012578?
8
What is the ten thousands digit of 3176375525?
7
What is the hundred thousands digit of 67531977?
5
What is the billions digit of 8364805059?
8
What is the tens digit of 124318921?
2
What is the ten millions digit of 877602774?
7
What is the ten thousands digit of 2007209397?
0
What is the millions digit of 2889469124?
9
What is the ten thousands digit of 551822538?
2
What is the billions digit of 5783447159?
5
What is the millions digit of 2407517571?
7
What is the ten millions digit of 117932698?
1
What is the hundreds digit of 7203717?
7
What is the units digit of 111340123?
3
What is the millions digit of 5904103683?
4
What is the hundred millions digit of 256930010?
2
What is the units digit of 39374067?
7
What is the units digit of 1953438301?
1
What is the ten millions digit of 112265632?
1
What is the tens digit of 4856581109?
0
What is the thousands digit of 271317778?
7
What is the ten millions digit of 56217786?
5
What is the hundreds digit of 2441653566?
5
What is the hundreds digit of 4130560734?
7
What is the thousands digit of 96018655?
8
What is the ten thousands digit of 70565009?
6
What is the tens digit of 117279229?
2
What is the thousands digit of 1106753617?
3
What is the hundred millions digit of 144130013?
1
What is the hundred millions digit of 247205566?
2
What is the millions digit of 536973320?
6
What is the hundreds digit of 465010007?
0
What is the tens digit of 31927983?
8
What is the millions digit of 116098924?
6
What is the hundreds digit of 239851815?
8
What is the ten thousands digit of 6104221?
0
What is the tens digit of 1725587107?
0
What is the millions digit of 2986046510?
6
What is the tens digit of 452864970?
7
What is the ten thousands digit of 2673300064?
0
What is the units digit of 52042423?
3
What is the millions digit of 87279326?
7
What is the hundred millions digit of 896958318?
8
What is the hundred thousands digit of 596214064?
2
What is the thousands digit of 22608392?
8
What is the hundred millions digit of 8523146803?
5
What is the ten thousands digit of 30183716?
8
What is the ten thousands digit of 5989529037?
2
What is the units digit of 20848842?
2
What is the ten thousands digit of 35909239?
0
What is the ten millions digit of 46386508?
4
What is the tens digit of 1020987227?
2
What is the tens digit of 1437968710?
1
What is the thousands digit of 93873183?
3
What is the hundred millions digit of 2258344355?
2
What is the hundred thousands digit of 1210429129?
4
What is the units digit of 15721727?
7
What is the ten millions digit of 1136294542?
3
What is the hundred thousands digit of 203251187?
2
What is the ten millions digit of 264021038?
6
What is the units digit of 9618386?
6
What is the hundred thousands digit of 21011255?
0
What is the hundreds digit of 1425959233?
2
What is the hundreds digit of 911721150?
1
What is the hundreds digit of 370399761?
7
What is the thousands digit of 1874434?
4
What is the thousands digit of 2680584?
0
What is the tens digit of 57585151?
5
What is the units digit of 94859931?
1
What is the units digit of 470650630?
0
What is the millions digit of 25714347?
5
What is the ten millions digit of 3321820627?
2
What is the ten thousands digit of 2616294130?
9
What is the thousands digit of 50199854?
9
What is the millions digit of 85579686?
5
What is the hundreds digit of 22076741?
7
What is the ten millions digit of 3469461532?
6
What is the billions digit of 1018046691?
1
What is the ten thousands digit of 2388339589?
3
What is the ten thousands digit of 422079872?
7
What is the units digit of 377013606?
6
What is the hundred | {
"pile_set_name": "DM Mathematics"
} |
is the units digit of x?
3
Let n(z) = -3*z - 3. Let o be n(-2). Suppose 8*u = o*u + 70. What is the tens digit of u?
1
What is the tens digit of (-2)/(0 - 8/60)?
1
Let y = 66 - 10. Let j = y + -35. What is the units digit of j?
1
Suppose 24*w - 405 = 19*w. What is the units digit of w?
1
Let i(y) = 3*y**3 - y**2 + 6*y + 6. Let z(a) = 3*a**3 + 7*a + 7. Let b(u) = 5*i(u) - 4*z(u). What is the tens digit of b(3)?
4
Suppose 4*v + 36 = 4*c, -5*v = -3*v + 5*c - 17. Let z(t) = -t**3 - 4*t**2 - 2*t + 2. What is the units digit of z(v)?
0
Let x be (-5)/(-10) + (-45)/(-2). Suppose 2*s + h = 26, 6*s - x = 5*s - 3*h. What is the tens digit of s?
1
Suppose -21*q = -12*q - 2070. What is the tens digit of q?
3
Let s be -10 + 2 - 2*-1. Let x be (-42)/(-9) + s/9. Suppose x*h - 4*n - 4 = 0, h + 3*n = 1 + 16. What is the units digit of h?
5
Suppose n - 7*g = -2*g - 75, -2*n - 4*g = 136. Let w = -42 - n. What is the units digit of w?
8
Let j be (-3)/((3/(-1))/1). What is the tens digit of 22 + -3 - j/1?
1
Let f = -10 + 14. What is the tens digit of (-48)/9*(-9)/f?
1
Suppose 2*o - 3 = 3. Let w be 10*(0 - 2)/(-4). Suppose 17 = -o*s - 5*d, w*s + 0*d = 4*d + 21. What is the units digit of s?
1
Let o be (-2)/(-2)*(2 - -33). Suppose 3*u + 4*v = 2*v + 17, 5*u = -5*v + o. Suppose 2*b = -2*k + 18, 2*k + 1 = k - u*b. What is the tens digit of k?
1
Let h(m) = 5*m - 7. Let n(c) = -4*c + 4*c - c. Let x(f) = -h(f) - 4*n(f). What is the units digit of x(3)?
4
Let o be (-9)/6*(-1320)/9. Let d be (o/(-25))/(4/(-10)). Let n = d - 2. What is the units digit of n?
0
Suppose -5*t + 74 = -t - 2*f, 15 = -5*f. What is the units digit of t?
7
Suppose 4*f + 1302 = 11*f. What is the units digit of f?
6
Suppose 0*v = 3*v - 45. Suppose -8*x = -3*x - v. What is the units digit of x?
3
Let m(d) = -d**3 - d**2 + 43. Suppose i + 0*i = 0. What is the tens digit of m(i)?
4
Let v(o) = 3*o**2 - 16*o - 3. What is the tens digit of v(8)?
6
Let g = 77 + -18. What is the units digit of g?
9
What is the units digit of 162 - 4 - (1 - 2)?
9
Let b = 23 - 19. Suppose 22 = -b*x + 102. What is the tens digit of x?
2
Let y(f) = 2*f - 2. Let o be y(3). Let l(q) = q + o*q - 1 - 3*q. What is the units digit of l(5)?
9
Suppose -n = z, 5*n - z - 12 = 6. Let k(a) = 2*a**2 - 2*a - 2. What is the tens digit of k(n)?
1
Suppose 3*s - k - 193 = 0, -5*s + 20 = -4*k - 290. Suppose b = -2*c + 16, 4*c - 32 = -5*b + s. What is the tens digit of b?
2
Suppose 0 = g + 1 - 7. What is the units digit of g?
6
Let h(p) = -5 + p**3 - 7*p**2 - 2*p**3 + 0*p**3 - 2*p. Let r(u) = u**2 + 13*u + 23. Let t be r(-10). What is the units digit of h(t)?
9
Let r be 2*1/((-4)/(-66)). Let v = r + -13. Let i = v + -12. What is the units digit of i?
8
Let g = -16 + 14. What is the units digit of (7 - -9)/((-1)/g)?
2
Let y(z) = -z**3 + 5*z**2 + 8*z - 9. Let b be y(6). What is the units digit of (-2 + 3)/(b/87)?
9
Let n = 24 - 8. Suppose 6 = -p + n. Let u = 15 - p. What is the units digit of u?
5
Let a be 4/6 + 4/(-6). Suppose 2*u + 2*u = a. Suppose u = 4*c - m - 2*m - 25, 4*c - 2*m = 30. What is the units digit of c?
0
Let j = 89 - -27. What is the hundreds digit of j?
1
Suppose 0 = -4*q - 5*f + 13, 12 = -5*q + 2*f + 53. Let h = 20 - q. What is the units digit of h?
3
Suppose 0 = 5*o - 2 - 8, o + 8 = 2*z. Suppose -z*a - 11 = -81. What is the tens digit of a?
1
Let m(q) be the second derivative of q**5/20 + q**4/3 + q**3/6 - 2*q**2 + q. Let i be m(-3). Suppose -i*t = -12 - 2. What is the units digit of t?
7
Let t = 11 + -11. Let h = 3 - t. What is the units digit of h?
3
Let v(f) = -6*f - 10. What is the tens digit of v(-7)?
3
Suppose -3*z + 1062 = c, -3*z = 5*c + 60 - 1110. What is the units digit of z?
5
Suppose -x - 24 = -4*x. Suppose -2*n + x = 3*h - n, 0 = -2*h + 5*n + 28. What is the units digit of h?
4
Let j(a) = a**2 + 12*a - 14. Suppose 11*c - 70 = 16*c. What is the tens digit of j(c)?
1
Suppose -378 = -5*d + 12. What is the tens digit of d?
7
Let p = -389 - -672. What is the units digit of p?
3
Let c(a) = 20*a + 1. Let l be c(-1). Let b = l - -44. What is the units digit of b?
5
Let s(o) be the third derivative of -o**5/30 - o**4/12 - o**3/6 - o**2. Let c be s(-1). Let q = 4 + c. What is the units digit of q?
3
Suppose 50 = -7*w + 2*w. Let u = 20 + w. What is the units digit of u?
0
Let o(i) = -i**2 + 3*i - 3. Let a be o(2). What is the tens digit of -5 + (-2)/a + 18?
1
Let p(a) = a**2 - 2*a - 2. Let q be p(4). Let l = 7 - 10. What is the units digit of 18*(6 + l)/q?
9
Let d be -2 + (-2)/2 - -5. What is the units digit of (4/3)/(d/24)?
6
Let z(f) = -f**3 + 10*f**2 - 11*f + 9. Let j(h) = 8*h**3 - h**2 + 1. Let i be j(1). What is the units digit of z(i)?
9
Let o = -1 - -5. Suppose -5*q = 4*t - 60, -o*q + 23 = 3*t - 25. Let k = q - 5. What is the units digit of k?
7
Suppose 33 = 4*q + 13. Suppose -a = -2*y - 28, 155 = 7*a - 2*a - q*y. What is the units digit of a?
4
Let f(j) = j**2 - 6*j. Let t be f(6). Suppose -3*r - 31 - 14 = t. Let a = r + 26. What is the tens digit of a?
1
Let y(x) = 2*x**2 + 1. Let n be (-36)/16 - (-6)/(-8). What is the units digit of y(n)?
9
Let d be 2/7 - 12/(-7). Suppose k - 12 = 2*j, -j - 5*k + 7 = d. Let z = 15 + j. What is the units digit of z?
0
Let v = 73 - 26. What is the units digit of v?
7
Let w = 160 - 55. Suppose 0 = 2*d + 3 - w. What is the tens digit of d?
5
Let s(t) = 42*t**2 + 2*t - 1. What is the units digit of s(1)?
3
Let y be 4/(-2)*(17 - 11). What is the tens digit of (189/y)/((-6)/16)?
4
What is the units digit of 0*(-5)/(-25) + 222?
2
Let n(v) = -v - 3. Let l be n(-3). Suppose z + l = 2. What is the units digit of 20 + 0 - (2 - z)?
0
Suppose 18*w = 13*w + 175. What is the tens digit of w?
3
Let z = 9 - 8. Let f(r) = -6*r. Let a be f(-1). What is the units digit of a/(0 + z) - 1?
5
Let v = 1 + 2. Suppose 3*i = -v*x + 5*i + 10, 3*x - 11 = i. Suppose -c - 4*c + x = w, -3*c = 3*w - 12. What is the units digit of w?
4
Suppose -4*m + 4 = -6*m + 2*q, 5*m + 6 = 4*q. Suppose 0 = 2*l + m*l - 20. Suppose -1 - l = -x. What is the units digit of x?
6
Suppose 0 = -3*s + 2 + 4. Suppose -5*i + 7 = s. What is the units digit of -10*i/(-4)*2?
5
Let i(z) = -z**2 - 5*z + 7. Let h be i(-5). Suppose h*a - 4*a + 3*q = 30, -3*a + 58 = -4*q. What is the units digit of a?
4
Let w(x) = x**3 - 11*x**2 - 10. Let s be 2*(-33)/(-12)*2. Let v be w(s). Let d(q) = q**2 + 7*q - 13. What is the tens digit of d(v)?
1
Let c(p) = -23*p - 9. What is the tens digit of c(-4)?
8
What is the units digit of (8/(-6))/((-16)/72)?
6
Suppose -136 = -h - 4*i, -324 = 2*h - 4*h + 5*i. What is the hundreds digit of h?
1
Suppose -4*y = -7 - 9. Suppose 0*o = y*o - 8. What is the units digit of o?
2
Suppose 2*u - 32 = -0*u. Suppose -2*j + 30 = -4*s - 4*j, -2*s - 19 = -3*j. Let p = s + u. What is the units digit of p?
8
What is the units digit of (3/6)/(1/58)?
9
Let t = 6 + -2. Suppose -2*w + 4*w - 2*a = 44, -a = 2. Suppose 0 = 5*m - t*p - 20, w = 2*p + 2*p. What is the units digit of m?
8
Let k(n) = -n + 131. What is the tens digit of k(0)?
3
Suppose -17 = 3*c - 8. What is the units digit of 3*-3*1/c?
3
Let v(s) be the second derivative of s**4/6 + s**3/3 + s**2/2 - 7*s. What is the tens digit of v(2)?
1
Let g(c) = -19*c + 1. Let r be g(5). Let m = -16 + 26. What is the units digit of (-4)/m + r/(-10)?
9
What is the tens digit of ((-18)/(-21))/((-1)/(-42))?
3
Let l be (-1 + -8)/((-21)/14). What is the units digit of (l/12)/((-2)/(-56))?
4
Suppose -s + 4*j + 22 = 0, -2*j = 5*s + 3*j + 15. What is the units digit of -39*3/(-18)*s?
3
Suppose 2*u = 4*u + 3*b - 53, -2*u + 5*b + 45 = 0. What is the tens digit of u?
2
What is the tens digit of -2 + 4*48 - (-3 - -7)?
8
Let k(f) = 5*f**3 + 13*f**2 - 11*f - 4. Let u(j) = -14*j**3 - 38*j**2 + 32*j + 11. Let x(a) = -17*k(a) - 6*u(a). What is the units digit of x(6)?
8
Suppose 0 = 3*l + 2*l - 30. What is the tens digit of 24 - 5*l/15?
2
Let i(q) = -q**2 - 15*q - 4. Let h be i(-7). Suppose -3*w - w + h = 0. What is the units digit of w?
3
Suppose 3*o + 9 = 0, -3*s - 2*o = -o - 291. What is the tens digit of s?
9
Let p be ((-11)/22)/(1/6). What is the units digit of -3 - (-5 + p + 2)?
3
What is the units digit of ((-1)/2)/(4/(-296))?
7
Let f be (43 - 3/3) + 2. Let h = f - 24. Suppose -3*s - 2*s + h = 0. What is the | {
"pile_set_name": "DM Mathematics"
} |
= i - z. Is b a composite number?
False
Let s = -8116 + 14275. Is s composite?
True
Suppose -1 = h - 5. Let i = h + 6. Suppose -d = -i*d + 981. Is d composite?
False
Let h(c) = -c**3 - c**2 + 3*c + 3. Let o be h(-2). Let n(s) = -33*s + o - 85*s + 16*s. Is n(-3) a composite number?
False
Suppose -27*f - 4*h = -29*f + 75474, -2*f = 4*h - 75458. Is f a composite number?
True
Let p(m) = -m**2 - m + 4. Let a be p(4). Let l(v) be the third derivative of v**6/120 + v**5/4 - 3*v**4/4 - 19*v**3/6 - 2*v**2. Is l(a) a composite number?
False
Let d(n) be the first derivative of -8*n**2 + 4*n - 13 - 18*n**2 - 13*n + 6*n**2. Is d(-10) prime?
False
Suppose 3*l + 2 + 26 = 5*d, 4*l = -d + 24. Let g(t) = t + 172. Let s be g(0). Is 12/d*s/6 prime?
True
Let g(d) = 4*d**2 - 7*d + 157. Is g(33) a composite number?
True
Let g = 226 - 149. Let q = -291 + g. Let n = 51 - q. Is n a composite number?
True
Suppose -5*k + 3823 = -7042. Suppose -4*a = -k + 585. Is a a prime number?
True
Let g(l) = -114*l - 11. Is g(-12) a prime number?
False
Let o = 68 - 27. Suppose -47*g + o*g = -2874. Is g a prime number?
True
Let t be (-4)/10 - 462/(-55). Is 3598/t - (-12)/(-16) a composite number?
False
Let n(l) = -4*l + 1. Let m(s) = -3*s + 2. Suppose -2*a + 8 = 3*o, 4*a = -5*o + 2*o + 16. Let z(h) = a*n(h) - 3*m(h). Is z(-3) a composite number?
False
Let f(h) = 118*h + 77. Is f(54) composite?
False
Let g(f) = f**3 - 12*f**2 + 7*f - 6. Let m be g(11). Let w be (-20)/m + (-94)/10. Let o(v) = 6*v**2 + 7*v - 1. Is o(w) a prime number?
False
Let f be (-25092)/(-14) + 2/(-7). Let s = f + -2713. Is 2/((-1848)/s - 2) prime?
True
Let w(c) = 566*c - 7 - 10 - 568*c + 12*c**2. Is w(-5) prime?
True
Suppose z + 3*z + 179 = -5*p, -5*p + 5*z - 170 = 0. Is 13350/14 - (-20)/p composite?
False
Let r(h) = -6*h**2 - 8*h + 6. Let n(q) = -q**2. Let a(y) = 4*n(y) - r(y). Let o be (-50)/(-40)*(-6 - -2). Is a(o) prime?
False
Let a = 23 + -15. Suppose 0 = -3*f - 4*p - 6, a = -3*f - f - p. Is (16 + f)*1/2 prime?
True
Suppose w - 362 = 517. Is w a prime number?
False
Let y be 4/(-12) - 6/9. Let r = -1 - y. Suppose r = 3*q - 197 - 916. Is q composite?
True
Suppose -22 + 121 = 3*q. Let a be (-1)/1*q/(-1). Suppose 5*p + a = 3*z + 1073, 0 = p - 3*z - 220. Is p prime?
False
Let v = 24913 + -17630. Is v a composite number?
False
Suppose 6 = 2*h + 4. Suppose 0 = -0*u - u + h. Is (422/(-3 + u))/(-1) prime?
True
Let g = 14331 + -4534. Is g a composite number?
True
Let r(s) = 216*s - 67. Is r(4) prime?
True
Let l = -392 - -385. Let y(r) = -8*r**3 - 19*r**2 + 53*r - 45. Let t(u) = -2*u**3 - 5*u**2 + 13*u - 11. Let z(a) = 9*t(a) - 2*y(a). Is z(l) composite?
False
Let l = 6 - 14. Let o be (94 + -10)*(-18)/l. Suppose 20 = 5*x, r - 4*x = -0*r + o. Is r a composite number?
True
Let p = 17 + -12. Suppose 4*r - 6*r + 11 = p*j, 4*r + 14 = 2*j. Is (-264)/r + (-7 - -6) composite?
False
Let t(j) = -2*j**3 - 15*j**2 - 15*j - 57. Is t(-11) composite?
True
Let o(g) = 1008*g**2 - 11*g - 31. Let b be o(-8). Is 8/52 - b*2/(-26) a prime number?
True
Let g(h) be the first derivative of 8*h**3/3 - 13. Let v be g(-1). Suppose v*c = 5*c + 633. Is c composite?
False
Suppose 61302 = 8*a - 4802. Is a prime?
True
Suppose 0*h = -5*h + 4*y + 14, -h - y = -1. Suppose h*i - 676 = 4*n, -i - n = 4*i - 1657. Suppose -l - i = -5*l. Is l prime?
True
Suppose 0 = -3*d + 2656 - 601. Let w = -354 + d. Is w a prime number?
True
Let b(f) = 481*f - 786. Is b(19) prime?
True
Let b be 3*-502*(-4)/12. Suppose i + 2*p - p - b = 0, -2*i - 4*p = -1006. Is i composite?
True
Let a = -34971 - -49556. Is a a prime number?
False
Suppose -5*r = -10*r + 25. Suppose 0*w + 1 = w, w + 321 = 2*y. Suppose r*z - 9 = y. Is z a composite number?
True
Let i(h) = -13*h + 13. Let q be i(5). Let m(z) = -6*z - 2. Let g be m(2). Is (q/6)/(g/147) composite?
True
Let b be (-18)/15*-3804 - (-2)/10. Suppose z = 12*z - b. Is z composite?
True
Suppose i + 808 = 3*i. Let k = -225 + i. Is k a prime number?
True
Let d(o) = 1927*o - 144. Is d(13) composite?
False
Suppose i - 20 = -3*i. Suppose 0 = 5*y - 3*y + 6, 4*d + 1301 = i*y. Let m = d + 660. Is m a prime number?
True
Suppose -5*k = -24 + 9. Suppose 0 = k*c - z, 2*z + 5 = -c + 4*z. Is (-4)/(-8)*934/c composite?
False
Suppose 5*g = 6*g - 4. Suppose 1 = -2*r - 2*x - 5, g*x + 18 = -r. Suppose 3*s - 797 = -4*n, n - r*n + 208 = -s. Is n a prime number?
False
Is (104/208)/(2/156836) a composite number?
False
Suppose 0 = 3*z + 5*k - 523270, 4*z - 220614 - 477056 = -2*k. Is z composite?
True
Let s(l) = l**3 + 4*l**2 - 4*l - 3. Let r be s(-3). Let w be (-114)/(-27) + (-4)/r. Suppose -c = -w*c + 282. Is c composite?
True
Let r = 6075 - 3513. Let q = -1097 + r. Is q prime?
False
Suppose 0 = v - 60 - 359. Let j = -141 + v. Is j a composite number?
True
Suppose 0 = -0*h + 3*h - 12. Suppose 2*l - 299 = -5*v + 108, 3*v + h*l = 233. Suppose -v - 35 = -2*w. Is w a prime number?
True
Let b = -25624 + 36507. Is b a composite number?
False
Suppose b + 17 = 3*r, 2*b = 5*r + b - 25. Suppose -a + 2*f = -2219, -5*f - 4478 = -2*a - 9*f. Suppose r*n = n + a. Is n a prime number?
True
Let j be ((-48)/(-10))/((-30)/(-7300)). Let k = 25 + j. Is k a composite number?
False
Suppose 2*v - 4 = 0, 4*d = 5*v - 46 - 20. Let s = d - -19. Suppose -s*c - 2*b + 269 = 0, 0 = -c - 0*c + 2*b + 49. Is c a prime number?
True
Let g = -1 + 3. Let d be (g - 44/(-8))*2. Suppose 12 = -l + 3*v, 5*l = -5*v - d + 55. Is l a composite number?
False
Let m be 75/6 + (-3)/6. Suppose -m = 4*b, j + 4*b = -j + 1326. Is j a composite number?
True
Suppose -2*i - 7 = -13. Suppose -i*b = -b - 382. Is b composite?
False
Suppose 5*k - 141 = 5*b - 2726, -3*b = 4*k - 1579. Is b a prime number?
True
Let p = -24 - -28. Suppose 2*w - 9455 = -3*v, 0 = -v + 2*v + p*w - 3135. Suppose x - 6*x = -v. Is x composite?
False
Suppose 36 = 2*u - 2*d, -3*d = -u + 4*u - 24. Suppose -4*y + u*y - 2871 = 0. Is y a prime number?
False
Let u(b) = b**3 - 2*b**2 - 2*b - 11. Let l be 4/8 + 44/8. Is u(l) prime?
False
Suppose -20 = -8*w + 4*w. Suppose 0*d + w*x = 2*d - 20, 4*x = -5*d + 116. Is 2/10 - (-1936)/d a prime number?
True
Let y = 2593 - 611. Is y prime?
False
Suppose 23 = -6*j + 5*j. Let m = j - -25. Suppose -m*o - 3115 = -7*o. Is o prime?
False
Suppose -5*t = -3*p - 630, -3*p + 4*p = t - 126. Suppose 3*g - t = b + 2*b, -g + 17 = 4*b. Is g prime?
True
Is 5753 + 2 + 6 - 2 a composite number?
True
Let i be 2/((-4)/30*-3). Suppose -g + 62 = i*b, 3*b - b + 2 = 0. Is g a composite number?
False
Let z(k) = k**2 + 8*k - 11. Let b be z(-10). Suppose 5*c - b*c = -20. Suppose 2*n - u - 88 = -3*u, n - c*u = 56. Is n a composite number?
True
Suppose 0 = 5*b - 2*d - 2611, -45*b - 3*d - 2093 = -49*b. Is b prime?
True
Suppose 0 = -9*x - 32 + 41. Let a(j) be the first derivative of 358*j**3/3 + j**2 - j + 1. Is a(x) a prime number?
True
Let w(z) = -18 + 27*z + 2 + 40*z + 70*z. Is w(7) a prime number?
False
Suppose -3*q + 214 = 5*y, 0 = 4*q - 4*y + 52 - 380. Suppose 2*z + z - 336 = -3*c, -2*c + 4*z + 206 = 0. Let s = c - q. Is s prime?
True
Suppose -22*a - 14*a + 34380 = 0. Is a prime?
False
Suppose 3*r - u = 12, -5*r - 4*u = -6*u - 20. Is 7185/r - (33/(-12) - -2) a prime number?
False
Is ((-4)/(-16))/(8 + 242013/(-30252)) a composite number?
False
Let l(q) = -q**3 - 4*q**2 + q + 4. Let j be l(-4). Suppose s - 6*s - 3*a + 142 = j, 3*a = 3*s - 66. Is s composite?
True
Suppose -z + 7 = -2*m - 4*z, 0 = -2*m + 4*z + 28. Suppose -4*l - 35 = -m*i + 37, -i = -3*l - 18. Is (16 - i)/(2/(-139)) a prime number?
True
Let h(a) = 2*a**3 + 2*a**2 - 2*a + 4. Let i(x) = -x**3 - 2*x**2 + 2*x - 3. Let d(z) = -4*h(z) - 6*i(z). Let v be d(2). Is -114*56/v + -3 a prime number?
True
Let q = -1 + 4. Is (-2 + q)/(-1)*-211 prime?
True
Is 46*(-6)/8*590/(-15) a composite number?
True
Suppose -7 - 21 = 4*m. Let y(r) = -499*r + 21. Let s be y(m). Suppose 6*h - s = 4652. Is h prime?
True
Let w(r) = r**2 + 3*r + 1. Let u be 1*(2 - -2) - -1. Suppose -3*f = i + f + u, -6 = -4*i - 3*f. Is w(i) a prime number?
True
Let h = -44 - 6. Is (804/(-10))/(20/h) a prime number?
False
Let i = 23 - -26. Let k(t) = -2*t**2 - 24*t + 130. Let a be k(-16). Let m = a + i. Is m composite?
True
Let s(j) = -6*j**2 - 55*j - 11. Let q be s(-9). Is (-558)/(-4) + (-3)/q composite?
True
Is (-59298)/ | {
"pile_set_name": "DM Mathematics"
} |
nge 33*z**3 - z**2 + z**4 - 2 - 2 - 30*z**3 to o*z**4 + f + m*z**2 + r*z**3 + g*z and give r.
3
Express -767 + 767 + q**2 - 9*q**2 in the form n + w*q + u*q**2 and give u.
-8
Rearrange 11*p + 10*p + 9*p + 23*p to the form g*p + k and give g.
53
Rearrange 21*x**4 - 17*x**2 - 10*x**2 + 1 + 44*x**2 - 18*x**2 to the form g + n*x**2 + m*x + p*x**3 + l*x**4 and give m.
0
Rearrange (5*y - 2*y - y)*(-y**2 + 0*y**2 + 2*y**2) - 4*y**3 + 0*y**3 + 8*y**3 - 2*y + y - y - y**2 + y**3 to the form l + w*y + v*y**3 + i*y**2 and give i.
-1
Express (17*a - 15*a - 8*a)*(0 + 0 - a**2) as j + m*a + c*a**2 + v*a**3 and give v.
6
Rearrange -3*p**2 + 4*p**2 - 3*p**4 - 4*p**2 + (-3 + 3 - p)*(-4*p**3 - 5*p + 5*p) to the form y*p**3 + t*p**2 + k*p**4 + l + a*p and give y.
0
Rearrange (267*b - 58*b + 130*b)*(3 - 3 - 1) to the form n + z*b and give z.
-339
Rearrange f**2 + 270 - f**3 - 270 to the form k*f**2 + p + l*f + s*f**3 and give k.
1
Rearrange 36*x**2 - 31*x**2 - 84*x**2 to l*x + f*x**2 + c and give f.
-79
Rearrange -20*c + 19*c - 40*c to the form d*c + a and give d.
-41
Rearrange -825 - h**2 + 825 + h + 8*h**3 to m + b*h + a*h**2 + s*h**3 and give a.
-1
Rearrange 8*t**2 + 18*t**2 - 2*t**2 to the form v*t**2 + s*t + w and give v.
24
Rearrange (-k**2 + 4*k**2 + 0*k**2)*(1 - 1 - 2)*(-k + 3*k - k) - 3 + 3 - 2*k**3 to h*k**3 + d*k**2 + y*k + v and give h.
-8
Express z**2 - 11 - 10 + 11 in the form r*z**2 + d + y*z and give r.
1
Rearrange (q**4 + 3*q - 3*q)*(6 + 6 - 6) to t*q**4 + f*q + i*q**3 + y + p*q**2 and give t.
6
Express 1 + 23*o**2 + 4*o**4 - 6*o - 2*o**4 - 21*o**2 as k + f*o**4 + j*o**2 + a*o + p*o**3 and give k.
1
Rearrange 68*y - 32 + 32 to f + g*y and give g.
68
Rearrange -2*z**3 + 4*z**2 + z + 3*z**2 - 5*z**2 + (-11 + 11 - 2*z**2)*(-2*z - 2*z + 5*z) to the form o + x*z**3 + p*z**2 + u*z and give u.
1
Express (4 - 1 - 2)*(-4*v + 3*v - v) + (-3 + 0 + 14)*(-v + 1 + 3*v - 2) in the form w + d*v and give w.
-11
Express 309*p - 150*p + 2 - 150*p as s + h*p and give h.
9
Rearrange 15*h + h - 55 + 13*h + 57 to the form l*h + a and give a.
2
Express -1 - 15*b + 6*b + 2 - 14*b in the form g*b + n and give n.
1
Rearrange -12 + 16*z**3 + 0*z**3 - 11*z**3 + z to f*z**3 + q*z**2 + v*z + p and give v.
1
Express (0*c - 3*c + 4*c)*((-2*c - 7*c + 3*c)*(-4*c**2 + c**2 + 4*c**2) + 3*c**3 + 8 - 8) as v*c**4 + r*c + l*c**2 + x*c**3 + p and give v.
-3
Express 4*u**4 + 26*u**4 - 8*u**4 + (u**3 + 2*u - 2*u)*(0*u - u - u) + 4*u**4 + 0*u**4 - 6*u**4 in the form p*u**2 + o*u**3 + r + q*u + j*u**4 and give j.
18
Rearrange (8 + 13 + 25)*(-h + 2*h + 2*h)*(1 + 0 - 3)*(-2*h + h + 2*h) to the form a + u*h**2 + o*h and give u.
-276
Rearrange (c**3 - 4*c**2 + 4*c**2)*(-6 + 1 - 1)*(0 - 3 + 1) to i + h*c + k*c**3 + y*c**2 and give k.
12
Rearrange 6 - 3*r - 9 + 5 to the form p + x*r and give p.
2
Rearrange 2*k**3 - 4 + 5 - 14*k**4 - 3 to p*k**4 + s + u*k**3 + x*k**2 + c*k and give u.
2
Express -22*l - 13*l - 36*l in the form s*l + w and give s.
-71
Rearrange 2*a**4 + a**4 - 2*a**4 + (2*a**2 - 5*a**2 + a**2)*(2*a**2 + 2*a - 2*a) + 7*a**4 - 13 + 13 to j*a**2 + i + x*a**4 + v*a + q*a**3 and give x.
4
Rearrange -3 + 3 + 2*c**2 + (4 - 4 - 2*c)*(4*c + 0*c - c) to the form m*c**2 + z + i*c and give m.
-4
Express -g + 0*g**3 - 5 + 30 - g**3 in the form k*g + f*g**3 + p + n*g**2 and give p.
25
Express (2*s**2 + 3*s - 3*s)*(-3*s**2 - 24 + 27 - 2*s**2) in the form l + q*s + x*s**3 + y*s**2 + n*s**4 and give n.
-10
Express 9 + 5 - 14 + 56*c in the form w + k*c and give w.
0
Rearrange (3 - 2 + 2 - 2 + 2 - 2 + (-1 - 2 + 1)*(0 + 4 - 2))*(-5*c + 3*c + 4*c) to m + d*c and give d.
-6
Rearrange 2 - o**4 - 1238*o + 1240*o + 0 - 2*o**3 to g*o + l*o**4 + n*o**2 + f*o**3 + p and give l.
-1
Express -3*m**3 + 0*m - 3*m - 2*m - 2*m**2 in the form g + n*m**3 + b*m**2 + k*m and give n.
-3
Express -25*o + 28*o + 42*o in the form j + y*o and give y.
45
Express (-15*j + 2*j**2 + j**2 + 23*j)*(2 - 2*j - 2) in the form o + g*j**2 + p*j**3 + b*j and give g.
-16
Express ((-3 + 4 - 2)*(10*a - 52*a + 19*a) - 3*a + 5*a - 3*a + (-2 + 2 + 2*a)*(-2 + 5 - 4))*(-4*a + 3*a - 2*a) in the form j*a + x*a**2 + q and give x.
-60
Express (5 - 1 - 2)*(-10 + 10 - 5*t)*(1 + 2*t - 1) in the form b*t + o*t**2 + h and give o.
-20
Express -2*l**4 + 0*l + 0*l + (-l**2 + 8*l**2 - 3*l**2)*(580*l - 580*l - 8*l**2) in the form u + c*l**2 + n*l**4 + z*l**3 + i*l and give n.
-34
Express 8*z**2 - 1 - 6*z**2 - z**3 - 6*z + 0 as t + c*z + o*z**3 + h*z**2 and give h.
2
Rearrange (2*x**2 + x**2 + 0*x**2)*(-3 + 5 - 3)*(-1 + 1 - 3*x) to the form k*x**2 + f*x + g*x**3 + l and give g.
9
Express (-3*y + 3*y - 2*y + (-2*y + 0*y + 4*y)*(0 - 3 + 1))*(-3 + 1 - 2) in the form s + k*y and give k.
24
Rearrange -5*l**4 - l**4 + 4*l**4 + (5*l + 2*l - 4*l)*(l**3 + 0*l**3 - 6*l**3) to i*l + r*l**4 + n*l**3 + d + q*l**2 and give r.
-17
Express -15*w**2 - 19*w**2 + 19*w**2 + (-3 + 2*w + 3)*(-4 + w + 4) + 2*w**2 + 4*w**2 - 5*w**2 as f*w**2 + j + k*w and give f.
-12
Express 2*y - 6*y**2 - 3 + 5 - 2 as b + v*y**2 + o*y and give b.
0
Express (4*i - i - i)*(4*i - 6 + i - 4*i) in the form f*i + m*i**2 + o and give m.
2
Express (3 - 2 + 2)*(0 + 0 - m)*(6 + 7 - 4)*(-5 + 0 + 2) in the form c + g*m and give g.
81
Rearrange 9*l**4 - 12*l**4 - 2*l**2 + l**3 + 3*l**4 + l**4 + 4 to b*l**4 + s*l**2 + k*l + a*l**3 + t and give k.
0
Rearrange 6 - 6 - 4*y**2 + 4*y to the form p + g*y**2 + v*y and give v.
4
Rearrange -2*c + 3 - 3 + 5*c - c - 2*c + 2*c - 3*c + 3*c + (2 - 2 - c)*(3 - 5 + 3) to the form j*c + b and give j.
1
Express (0 + 0 - 2*m)*(2*m - 2*m**3 - 2*m + (0*m + 0*m - 3*m**2)*(-3*m - m + 3*m) + 3*m + m**3 - 3*m) as h + o*m**2 + w*m + i*m**4 + s*m**3 and give i.
-4
Rearrange -3*b + 5*b - b + 1 - 1 + b + (-2*b + 2*b + b)*(1 - 4 - 3) - 2 - 2*b + 2 to the form l + h*b and give h.
-6
Express 8 - 3*l**2 - 34 + 24*l**3 + 24 in the form n*l**3 + y*l**2 + q + h*l and give y.
-3
Express (-5417*t + 5399*t - 5 - 4)*(3*t**2 + 0*t**2 - t**2) as s + c*t**3 + n*t**2 + k*t and give k.
0
Express (2 - 1 + 0)*((-o + 3*o - 5*o)*(-o - o + 4*o) + (3*o - 5*o + o)*(4 - 4 - 2*o)) in the form p + c*o**2 + d*o and give c.
-4
Rearrange (-1 + 1 - o**2)*(6 + 4 - 5) - o**2 + 4 - 4 to l + s*o + y*o**2 and give y.
-6
Rearrange (-5*m + 0*m + m)*(-4*m + m + 2*m) + 2*m**2 - 2*m**2 + m**2 - 5*m**2 - 2*m**2 + 4*m**2 to a*m**2 + k + x*m and give x.
0
Rearrange (4 - 3 + 4)*(-3*y + 7*y - y) to r*y + s and give r.
15
Express -z**2 + z + 3*z + 2 + z**3 + z**2 in the form f*z**2 + u*z**3 + a + c*z and give f.
0
Express (6*w - 3*w - 2*w)*(6*w**2 - 2*w**2 - 3*w**2) + 2*w**3 - 2*w + 2*w + (w**3 + w**3 + 0*w**3)*(0 + 2 + 3) as g*w**3 + n + r*w**2 + z*w and give z.
0
Rearrange -27*b**4 - 65 + b**3 + 64 + 2*b**2 + 9*b**4 to r*b**3 + a*b**4 + y + m*b**2 + s*b and give a.
-18
Express k**2 - 12*k + 4*k - 1 + 8*k - 2*k**4 - 2*k**3 in the form n*k + f*k**3 + o*k**4 + g*k**2 + c and give f.
-2
Rearrange (-2*i**2 - 27*i**2 + 9*i**2)*(4 - 4 - i) to the form b*i**2 + v*i + s + p*i**3 and give p.
20
Rearrange -2*g - 3*g**2 - 2*g**2 - 2*g**3 + 3 + g**2 to the form o + l*g**2 + r*g + w*g**3 and give w.
-2
Express 5*c - 4*c - c - 4*c as s + z*c and give s.
0
Rearrange m + m + 2*m - 4*m**2 to w*m + h*m**2 + u and give w.
4
Express (2*t + 4*t - 4*t)*(-5 + 3 + 4 + (-5 + 1 + 2)*(1 - 1 + 2) - 1 + 12 + 4) + 3*t + 4*t - 5*t in the form d*t + u and give d.
28
Rearrange ((-3 + 4 + 0)*(k - k - 9*k) - 1 + 1 + k)*(3 - 3 + 2) to the form c*k + b and give c.
-16
Rearrange -5*l**2 + 5*l**2 + 4*l**2 + 6*l + 0*l**2 to the form b*l**2 + c + j*l and give j.
6
Rearrange (4*w - 3*w + 0*w - 4)*(-w - 5*w + 1 - 2*w) to the form k*w + v + a*w**2 and give v.
-4
Rearrange -12*y + 3*y - y to the form s + m*y and give m.
-10
Rearrange d**3 + 0*d + d**3 - d + d**3 + 2 - 3*d**3 - 4 + (-3 - 2 + 4)*(1 - 1 + 4*d**3) to the form a + n*d + f*d**2 + s*d**3 and give n.
-1
Express (0*v**4 - 3*v**4 + 2*v**4)*(-3 - 1 + 1)*(1 + 2 - 5) in the form a + h*v**4 + q*v**3 + o*v**2 + x*v and give x.
0
Rearrange 4*o - 5*o**2 + 0*o**2 + 3*o**2 + 0*o to the form t*o**2 + s*o + l and give s.
4
Rearrange 1 - 14*m**2 + 6*m**2 + m**3 + 10*m**2 + m**3 to the form u + y*m + n*m**2 + b*m**3 and give n.
2
Express 8*r**2 + 3*r + r + 2*r - 7*r**2 + r**3 in the form i*r**3 + w*r**2 + d*r + b and give w.
1
Rear | {
"pile_set_name": "DM Mathematics"
} |
37740 divided by -30
1258
Calculate -41344 divided by -3.
41344/3
-3811734 divided by 1006
-3789
Divide -4 by -10209.
4/10209
What is -1555772 divided by 548?
-2839
What is 0 divided by -960270?
0
Divide 247842 by -882.
-281
Calculate -2198592 divided by 66.
-33312
What is -10584 divided by 10584?
-1
What is 19500 divided by -1625?
-12
Calculate 0 divided by -57232.
0
-110011 divided by -1
110011
Divide -963116 by -137588.
7
What is -1712 divided by 67?
-1712/67
What is 338415 divided by 9669?
35
Calculate 2949 divided by 55.
2949/55
What is 6933 divided by -18?
-2311/6
Divide -3 by 575918.
-3/575918
What is 37 divided by -582?
-37/582
What is -16011 divided by 593?
-27
What is -183632 divided by -184?
998
What is 0 divided by -1180?
0
Calculate -2 divided by 1109837.
-2/1109837
1073216 divided by 656
1636
-70857 divided by -3
23619
-5015 divided by -1003
5
Calculate 574985 divided by 5.
114997
Calculate 92670 divided by 18534.
5
Calculate -51292 divided by 6.
-25646/3
What is 141150 divided by -1882?
-75
Calculate -3302 divided by -12.
1651/6
What is 243468 divided by 60867?
4
What is 327 divided by 1759?
327/1759
Calculate 6 divided by 3026.
3/1513
Divide 1146670 by 5.
229334
-3135 divided by 55
-57
What is -156147 divided by -93?
1679
9 divided by -42746
-9/42746
Divide 255254 by -2.
-127627
Calculate 954 divided by -2.
-477
-935256 divided by -49224
19
0 divided by -13087
0
Calculate -58970 divided by 4.
-29485/2
Calculate 750 divided by -89.
-750/89
What is -15010 divided by -3?
15010/3
What is -56801 divided by 719?
-79
Calculate -45388 divided by -14.
3242
Divide -886288 by 4.
-221572
Calculate -2 divided by 37885.
-2/37885
45279 divided by 351
129
144875 divided by -2
-144875/2
Calculate -23252 divided by -145.
23252/145
-23408 divided by 3
-23408/3
6439136 divided by -53216
-121
Divide -4099 by -4099.
1
What is -70720 divided by 16?
-4420
What is 2388 divided by 796?
3
2720 divided by 85
32
Calculate -1513 divided by 2.
-1513/2
Calculate 2 divided by -153699.
-2/153699
-75116 divided by -356
211
1661 divided by 24
1661/24
Calculate -6394575 divided by -1278915.
5
2287 divided by 159
2287/159
Calculate 55832 divided by 4.
13958
What is 72 divided by 28?
18/7
594280 divided by -40
-14857
-7760 divided by 10
-776
3864918 divided by -644153
-6
-51192 divided by -24
2133
Divide 713823 by -21631.
-33
Calculate -1020346 divided by -1020346.
1
Divide 69190 by 170.
407
-3534222 divided by -3
1178074
What is 1 divided by -140542?
-1/140542
What is 5 divided by 31494?
5/31494
What is -132894 divided by 4922?
-27
Divide -1082 by 4.
-541/2
-478 divided by -20
239/10
-4 divided by 223993
-4/223993
Divide 7209 by -6.
-2403/2
-100 divided by 29899
-100/29899
2 divided by 232531
2/232531
12 divided by 72
1/6
What is 35386 divided by 4?
17693/2
Divide -1265920 by -2.
632960
Divide -14558 by 1.
-14558
Calculate -49626 divided by -18.
2757
-204035 divided by 40807
-5
What is 270844 divided by -34?
-7966
Divide 2324 by 282.
1162/141
Divide 22 by 14794.
11/7397
-4 divided by 8917
-4/8917
1157622 divided by 2
578811
Calculate 21798 divided by 1038.
21
-2 divided by -4431
2/4431
Calculate -349696 divided by 21856.
-16
Calculate -60 divided by 68.
-15/17
4 divided by 7506
2/3753
Divide 42950 by -5.
-8590
What is 719937 divided by 4311?
167
1453 divided by 163
1453/163
Divide -189 by 60.
-63/20
Calculate 234332 divided by 16738.
14
What is -483496 divided by -37192?
13
Calculate 542 divided by -6.
-271/3
Calculate -2566 divided by 110.
-1283/55
-141 divided by 2949
-47/983
491547 divided by -1869
-263
Divide -93686 by 41.
-93686/41
Divide 10 by -34708.
-5/17354
-31600 divided by 316
-100
Calculate -177887 divided by -1.
177887
Divide -62 by -1435.
62/1435
Divide -304647 by 89.
-3423
Divide -19 by 2186.
-19/2186
-3471 divided by -3
1157
Divide 187 by 16804.
187/16804
What is -261880 divided by -5?
52376
Calculate -53907 divided by -2567.
21
Calculate 589142 divided by 5506.
107
Calculate -1656258 divided by 3.
-552086
0 divided by 2776
0
Divide 5 by 186265.
1/37253
Divide 1871619 by -339.
-5521
Divide -8 by -344942.
4/172471
Divide -2493790 by -191830.
13
Calculate -1 divided by -366645.
1/366645
372048 divided by -5392
-69
What is 476295 divided by 15?
31753
62790 divided by 897
70
What is 161298 divided by -6?
-26883
-5 divided by -5533
5/5533
Calculate 0 divided by 59572.
0
Divide -43 by 2385.
-43/2385
What is 11284 divided by 182?
62
Divide 2292 by -3.
-764
Calculate -114512 divided by -842.
136
Divide -888450 by -177690.
5
Divide -346103 by -17.
20359
15444 divided by 108
143
Divide -7040 by 352.
-20
876387 divided by -1
-876387
15 divided by 26483
15/26483
Calculate 2813 divided by 62.
2813/62
Calculate -1441873 divided by -1.
1441873
Divide 3554 by 3.
3554/3
What is 3779580 divided by 269970?
14
0 divided by 78866
0
What is -198560 divided by 11680?
-17
What is 5 divided by -2263?
-5/2263
What is 3 divided by -14240?
-3/14240
-1607180 divided by 4
-401795
Divide -64561 by -9223.
7
What is 0 divided by -25321?
0
Calculate -346946 divided by -1.
346946
Divide -44337 by 11.
-44337/11
Calculate -1253665 divided by -1505.
833
What is -24744 divided by -2?
12372
What is 3571647 divided by 3?
1190549
Calculate 28890 divided by -535.
-54
Calculate -9 divided by 15022.
-9/15022
What is -53 divided by 24176?
-53/24176
Calculate 37885 divided by -46.
-37885/46
-155194 divided by -1651
94
Calculate -479 divided by 7470.
-479/7470
Calculate 6 divided by -110738.
-3/55369
Divide -377640 by 9.
-41960
Calculate 40950 divided by 6825.
6
What is -1 divided by 440604?
-1/440604
Divide -43168 by -10792.
4
Divide -50960 by -1.
50960
5112 divided by -568
-9
133092 divided by -22182
-6
What is 5 divided by -90434?
-5/90434
Calculate -361284 divided by 2618.
-138
What is -426112 divided by -32?
13316
Calculate 9693 divided by -33.
-3231/11
Divide 7 by 56846.
7/56846
-2 divided by -31499
2/31499
Divide 24 by -236.
-6/59
Divide 3601 by 21.
3601/21
Calculate -35606 divided by -2.
17803
346 divided by 18
173/9
-1839 divided by 32
-1839/32
What is 1 divided by 17446?
1/17446
Calculate 127618 divided by 1.
127618
What is 20280 divided by -30?
-676
Divide -22 by -118161.
22/118161
Divide -25599 by -20.
25599/20
What is -4 divided by 244177?
-4/244177
Divide 2879235 by -15.
-191949
Calculate -35350 divided by 25.
-1414
Calculate -2053575 divided by 45.
-45635
Divide 0 by -86414.
0
Calculate 0 divided by 8047.
0
Divide 10 by 14083.
10/14083
What is 1061766 divided by -61?
-17406
What is 6 divided by 2009?
6/2009
What is -135 divided by -135?
1
Divide -30162 by 66.
-457
Calculate 571 divided by 3103.
571/3103
Calculate 49 divided by -1399.
-49/1399
Calculate 69818 divided by -34909.
-2
What is -105636 divided by 8803?
-12
98392 divided by -502
-196
What is 72372 divided by -3?
-24124
-68880 divided by 5
-13776
What is -62380 divided by -3?
62380/3
-614832 divided by 38427
-16
Divide 14796 by -1.
-14796
What is 13 divided by -19318?
-1/1486
Calculate -677040 divided by -240.
2821
What is 1329 divided by -1?
-1329
Divide 22333992 by -6.
-3722332
Calculate -77008 divided by 8.
-9626
What is -107900 divided by -26?
4150
Calculate -1 divided by -1524.
1/1524
What is 74954 divided by 37477?
2
Calculate -45 divided by 8798.
-45/8798
What is 95886 divided by 6?
15981
Calculate 0 divided by -4056.
0
Divide -4442796 by 6.
-740466
Divide 66157 by -727.
-91
25180 divided by -10
-2518
What is 85386 divided by -6099?
-14
Divide -42402 by 111.
-382
What is -11 divided by 30913?
-11/30913
-683 divided by -827
683/827
Calculate -25320 divided by 12.
-2110
-1863 divided by 55
-1863/55
What is 1557 divided by 28?
1557/28
Calculate 313038 divided by 374.
837
Calculate 6536455 divided by 21431.
305
What is -32185 divided by 5?
-6437
Divide 335892 by -111964.
-3
-3 divided by -6827
3/6827
Calculate 166035 divided by -3.
-55345
What is -2219554 divided by -130562?
17
Calculate -8 divided by 15552.
-1/1944
What is 530657 divided by 5?
530657/5
Divide -187 by 279.
-187/279
Divide -839 by -51.
839/51
Calculate -693 divided by -32.
693/32
What is 2639883 divided by -3?
-879961
-720280 divided by -16370
44
Calculate -5 divided by 42688.
-5/42688
Calculate 677082 divided by 1029.
658
-42812 divided by -7
6116
C | {
"pile_set_name": "DM Mathematics"
} |
**2 - 5*i - 16. What is b(-4)?
52
Let u(j) = 2*j**2 + 12*j + 26. Determine u(-3).
8
Let x(h) = -5*h - 1. Give x(-6).
29
Let x(l) = 4*l**3 - 5*l**2 - 5*l + 13. Give x(2).
15
Let a(w) = -w**3 - 6*w**2 + 4*w - 17. Calculate a(-8).
79
Let q(m) = 3*m - 4. Calculate q(-8).
-28
Let n(d) = -d**2 - 48*d + 590. Give n(-58).
10
Let g(i) = -3*i**2 - 4*i - 9. Give g(-3).
-24
Let y(k) = k**3 + 19*k**2 - 21*k - 20. Give y(-20).
0
Let x(j) = j**2 + 4*j - 13. What is x(-7)?
8
Let v(z) = z**3 - 3*z**2 + 2*z + 3. Determine v(0).
3
Let p(s) = s**2 - 12*s + 15. Calculate p(10).
-5
Let n(z) = -8*z - 18. Give n(-5).
22
Let w(z) = 2*z**2 + 3*z + 1. What is w(4)?
45
Let v(w) = -w**3 - 11*w**2 - 13*w + 3. Calculate v(-9).
-42
Let u(l) = -l**2 - 2*l + 4. Calculate u(4).
-20
Let k(f) = -f**2 + 2*f - 7. Calculate k(3).
-10
Let p(j) = j**2 + 4*j - 217. Calculate p(14).
35
Let r(z) = -z - 6. Determine r(-10).
4
Let s(n) = n**2 - 21*n - 201. Determine s(28).
-5
Let n(f) = -f**3 - 2*f**2 + 7*f - 1. Give n(2).
-3
Let x(m) = -8*m**2 + m. What is x(-1)?
-9
Let z(h) = 25*h**3 + h**2 + h + 1. Calculate z(2).
207
Let h(w) = -w**2 + 10*w - 29. What is h(6)?
-5
Let m(q) = -q**2 - q + 12. Give m(-5).
-8
Let y(p) = 2*p**2 + 49*p - 64. Calculate y(-26).
14
Let g(b) = -10*b - 1. Give g(3).
-31
Let c(a) = -4*a**3 - 2*a**2 + 1. Calculate c(-1).
3
Let y(i) = 18*i + 105. Give y(-6).
-3
Let i(f) = 2*f**3 - 17*f**2 - 4*f + 16. Give i(9).
61
Let s(f) = -19*f + 146. Determine s(8).
-6
Let s(t) = -7*t - 27. Give s(-4).
1
Let l(h) = -h**2 + 20*h - 84. Give l(6).
0
Let d(k) = k**3 + 4*k**2 - 5*k. What is d(-5)?
0
Let d(o) = 19*o**2 + o + 2. Determine d(2).
80
Let f(q) = -12*q + 25. Determine f(-3).
61
Let k(x) = -x**2 + x + 7. Calculate k(7).
-35
Let p(q) = 2*q**2 + 3*q - 10. Give p(-6).
44
Let g(p) = p**3 - 3*p**2 + 2*p + 1. Calculate g(3).
7
Let y(s) = s**3 + 4*s**2 - 11*s + 8. Give y(-6).
2
Let l(f) = -f**3 + 6*f**2 + 2*f + 1. Give l(6).
13
Let o(j) = -5*j - 5. Calculate o(-4).
15
Let s(v) = v**3 - 22*v**2 + 22*v - 30. Calculate s(21).
-9
Let j(a) = -16*a - 430. Determine j(-28).
18
Let o(i) = -2*i + 25. What is o(9)?
7
Let p(s) = -s**3 + 19*s**2 - 8*s + 61. Calculate p(19).
-91
Let v(m) = m**3 - 27*m**2 - 27*m - 23. Determine v(28).
5
Let a(n) = -n**3 - 8*n**2 - 16*n - 15. Calculate a(-6).
9
Let g(n) = -n**2 - 8*n + 25. Determine g(3).
-8
Let p(m) = m**3 - 23*m**2 - 21*m - 47. Calculate p(24).
25
Let q(v) = v**3 - 5*v**2 + 6*v. Calculate q(4).
8
Let q(g) = g**2 - g - 37. Give q(-6).
5
Let a(o) = -o**3 + 6*o**2 + 6*o - 5. Give a(7).
-12
Let g(j) = j**2 + 13*j + 38. Calculate g(-10).
8
Let p(t) = -t**3 - 3*t**2 + 2*t - 4. What is p(-3)?
-10
Let j(g) = -18*g + 1495. Determine j(83).
1
Let u(r) = -60*r - 364. Give u(-6).
-4
Let d(h) = h. Give d(6).
6
Let z(f) = -19*f + 12. Give z(2).
-26
Let n(h) = -h**2 + 4*h + 16. What is n(5)?
11
Let w(g) = -g**3 + 7*g**2 + 16*g - 59. Determine w(8).
5
Let p(w) = -w**3 + 7*w**2 - 10*w + 8. Calculate p(5).
8
Let q(v) = -66*v + 1584. Determine q(24).
0
Let z(c) = c**3 - 7*c**2 - 3*c + 15. What is z(7)?
-6
Let k(p) = -2*p**3 + 6*p**2 + 4*p + 3. Determine k(6).
-189
Let p(y) = y**3 - 4*y**2 + 4. Give p(3).
-5
Let z(s) = -s**2 + 5*s - 9. Determine z(7).
-23
Let h(v) = v**3 - v**2 - 9*v - 6. What is h(-3)?
-15
Let g(x) = -3*x - 13. Calculate g(-6).
5
Let o(x) = x**3 - 11*x**2 - 1. What is o(11)?
-1
Let x(n) = 4*n**2 - 36*n - 1. Calculate x(9).
-1
Let k(u) = -u**2 - 29*u - 91. Determine k(-25).
9
Let k(i) = -2*i**2 - 11*i - 36. What is k(-6)?
-42
Let f(n) = n**2 - 11*n - 20. Give f(15).
40
Let y(k) = -k**2 - k + 2. Give y(0).
2
Let b(g) = -8*g + 1. Determine b(-5).
41
Let o(x) = 2*x + 3. Give o(14).
31
Let h(d) = -d**3 - 11*d**2 - 5*d + 12. Determine h(-10).
-38
Let t(j) = j**3 - 16*j**2 + 28*j + 16. What is t(14)?
16
Let b(t) = -t**2 - 27*t + 372. Give b(-37).
2
Let c(u) = u**3 - 24*u**2 + 20*u + 74. Calculate c(23).
5
Let j(p) = p**3 - 4*p**2 - 15*p - 4. Determine j(7).
38
Let o(c) = -4*c + 5. What is o(16)?
-59
Let n(p) = -p**2 + 11*p - 40. What is n(9)?
-22
Let t(u) = 23*u + 33. Calculate t(-1).
10
Let q(i) = -6*i**2 + 7*i - 1. What is q(2)?
-11
Let j(g) = -g**2 - 30*g - 103. Give j(-26).
1
Let z(g) = g**3 + 12*g**2 + 10*g + 9. What is z(-11)?
20
Let u(a) = -135*a - 399. Determine u(-3).
6
Let x(q) = 2*q + 7. Calculate x(6).
19
Let z(w) = 4*w**3 - 68*w**2 + 5*w - 85. Give z(17).
0
Let c(j) = j**3 - 10*j**2 + 9*j + 12. Calculate c(8).
-44
Let c(q) = 3*q - 101. Calculate c(29).
-14
Let c(x) = -x**2 + 7*x - 15. Calculate c(0).
-15
Let t(h) = h**2 + 17*h + 8. Determine t(-14).
-34
Let x(m) = -m**2 - 18*m - 21. Determine x(-17).
-4
Let d(r) = -3*r + 3. What is d(4)?
-9
Let r(w) = -w**3 - 20*w**2 - 37*w - 7. Calculate r(-18).
11
Let p(t) = -t**2 + 4*t - 5. Calculate p(0).
-5
Let s(f) = 2*f**2 - 10*f + 3. What is s(6)?
15
Let k(z) = 4*z - 5. What is k(1)?
-1
Let j(b) = -5*b + 5. Give j(5).
-20
Let o(v) = 3*v**2 - 3*v - 1. Calculate o(3).
17
Let u(h) = 11*h - 4. Give u(1).
7
Let d(y) = -12*y + 1. Determine d(-2).
25
Let f(s) = s**3 + 8*s**2 - 23*s - 19. Determine f(-10).
11
Let z(v) = v**2 + 5*v + 3. Calculate z(-2).
-3
Let q(t) = -t**3 + t**2 - t + 2. Give q(0).
2
Let k(n) = -2*n + 84. Calculate k(0).
84
Let x(n) = -n**3 + 18*n**2 - 18*n + 21. What is x(17)?
4
Let f(q) = -q**3 - 9*q**2 - 16*q - 23. Determine f(-7).
-9
Let p(l) = -5*l - 3. Determine p(-3).
12
Let w(u) = 5*u + 26. Give w(-5).
1
Let d(z) = 3*z**3 - 3*z**2 + z + 1. Calculate d(1).
2
Let t(i) = -i**3 + 5*i**2 - i - 5. Calculate t(4).
7
Let m(v) = -39*v - 241. Give m(-6).
-7
Let h(q) = q + 6. Calculate h(-5).
1
Let w(x) = -x**3 + 3*x**2 - 2*x + 2. Calculate w(2).
2
Let o(a) = -a**2 - 9*a + 31. Calculate o(-13).
-21
Let v(a) = 28*a**2 + 2*a. Give v(1).
30
Let b(y) = -12*y - 1. Determine b(1).
-13
Let c(a) = 7*a - 19. What is c(5)?
16
Let u(f) = -2*f**2 - 4*f + 1. Determine u(-3).
-5
Let o(b) = -3*b + 26. What is o(9)?
-1
Let q(a) = -a**3 + 2*a**2 + 6*a - 9. Determine q(3).
0
Let w(a) = -a**3 + 27*a**2 + 3*a - 77. Calculate w(27).
4
Let p(v) = -14*v**2 - 5*v - 4. Give p(-2).
-50
Let a(m) = -m**3 - 6*m**2 + 8*m + 3. Give a(-6).
-45
Let p(b) = -b**2 + 2*b + 22. Determine p(6).
-2
Let q(z) = z**3 - 7*z**2 - 9*z + 6. What is q(8)?
-2
Let d(r) = -2*r**2 - 12. Determine d(-4).
-44
Let w(j) = j**3 + 11*j**2 + 3*j + 185. Calculate w(-12).
5
Let q(f) = 2*f + 1. Give q(7).
15
Let y(m) = -m**3 - 9*m**2 - 9*m - 18. Give y(-8).
-10
Let d(q) = 19*q + 269. Calculate d(-15).
-16
Let t(o) = -o**3 + 27*o**2 - 140*o + 5. Calculate t(20).
5
Let h(n) = n**3 + 12*n**2 + 8*n - 21. Give h(-11).
12
Let u(k) = -k**3 + 24*k**2 + 2*k - 58. Determine u(24).
-10
Let m(p) = -2*p**2 + 18*p - 29. Calculate m(7).
-1
Let s(v) = v**2 - 20*v + 23. What is s(19)?
4
Let o(y) = -3*y**2 - 39*y - 10. Calculate o(-13).
-10
Let j(m) = m - 79. Determine j(12).
-67
Let z(i) = 39*i - 7. Give z(2).
71
Let q(u) = -5*u**2 - 31*u - 13. Give q(-6).
-7
Let u(r) = r**3 + 8*r**2 + 8*r + 9. What is u(-7)?
2
Let m(u) = -5*u + 84. Determine m(19).
-11
Let o(i) = 2*i**2 - 138*i + 129. Calculate o(68).
-7
Let j(k) = -k**3 + 15*k**2 - 17*k + 29. Determine j(14).
-13
Let w(c) = -c**2 + 17*c - 6. Determine w(16).
10
Let j(d) = d**3 - 5*d**2 - 3*d - 3. Calculate j(7).
74
Let n(t) = 70*t + 74. Calculate n(-1).
4
Let y(g) = g - 4. What is y(2)?
-2
Let t(h) = -h + 25. What is t(8)?
17
Let l(d) = d**3 - 28*d**2 - 31*d + 42. Calculate l(29).
-16
Let h(f) = 10*f - 81. Give h(9).
9
Let c(k) = -10*k + 16. What is c(7)?
-54
Let y(l) = l**2 - 6*l - 2. Calculate y(5).
-7
Let f(l) = 4*l**2 + l + 1. Calculate f(3).
40
Let l(h) = -25*h - 102. What is l(-5)?
23
Let k(i) = i**3 - 8*i**2 + 4*i - 11. Calculate k(8).
21
Let b(a) = 12*a - 199. Calculate b(18).
17
Let w(k) = -k**2 + 4*k - 4. Calculate w(5).
-9
Let a(i) = -i**2 + 2*i - 4. Give a(-3).
-19
Let o(u) = 65*u + 10. Give o(1).
75
Let l(b) = -b**3 - 9*b**2 - b + 2. Give l(-6).
-100
Let d(w) = 16*w + 249. Calculate d(-15).
9
Let m(j) = j**3 - 4*j**2 - 5*j + 16. Give m(2).
-2
Let x(g) = -g**2 - 10*g - 22. Determine x(-6).
2
Let z(t) = t**2 + 9*t - 6. What is z(-8)?
-14
Let g(r) = -r**3 + 6*r**2 - 9*r - 3. What is g(4)?
-7
Let t(j) = j**3 - 9*j**2 + 9*j + 13. What is t(8)?
21
Let a(v) = -7*v + 4. Determine a(-2).
18
Let m(p) = p**3 - 9* | {
"pile_set_name": "DM Mathematics"
} |
s 756417 to the power of 1/9, to the nearest integer?
4
What is 27131800 to the power of 1/5, to the nearest integer?
31
What is the third root of 17205150 to the nearest integer?
258
What is the third root of 2493756 to the nearest integer?
136
What is 702706 to the power of 1/8, to the nearest integer?
5
What is the fifth root of 19028981 to the nearest integer?
29
What is 63167 to the power of 1/2, to the nearest integer?
251
What is 19838009 to the power of 1/3, to the nearest integer?
271
What is the sixth root of 316122 to the nearest integer?
8
What is the third root of 22803458 to the nearest integer?
284
What is the fifth root of 721337 to the nearest integer?
15
What is the square root of 619623 to the nearest integer?
787
What is 413717 to the power of 1/5, to the nearest integer?
13
What is the square root of 439166 to the nearest integer?
663
What is 10250853 to the power of 1/9, to the nearest integer?
6
What is 10926609 to the power of 1/2, to the nearest integer?
3306
What is the tenth root of 15391 to the nearest integer?
3
What is 3256417 to the power of 1/9, to the nearest integer?
5
What is 5369237 to the power of 1/2, to the nearest integer?
2317
What is the third root of 367561 to the nearest integer?
72
What is the cube root of 6467145 to the nearest integer?
186
What is 1045994 to the power of 1/8, to the nearest integer?
6
What is the fourth root of 844154 to the nearest integer?
30
What is 684384 to the power of 1/2, to the nearest integer?
827
What is the square root of 243168 to the nearest integer?
493
What is 249948 to the power of 1/3, to the nearest integer?
63
What is the fifth root of 14481143 to the nearest integer?
27
What is 17256 to the power of 1/2, to the nearest integer?
131
What is the square root of 633303 to the nearest integer?
796
What is 16022227 to the power of 1/2, to the nearest integer?
4003
What is the fourth root of 893533 to the nearest integer?
31
What is 101896 to the power of 1/4, to the nearest integer?
18
What is 1545867 to the power of 1/10, to the nearest integer?
4
What is the fourth root of 842211 to the nearest integer?
30
What is 18420457 to the power of 1/10, to the nearest integer?
5
What is the square root of 355604 to the nearest integer?
596
What is 608311 to the power of 1/6, to the nearest integer?
9
What is the cube root of 1137721 to the nearest integer?
104
What is the square root of 97768 to the nearest integer?
313
What is the ninth root of 813800 to the nearest integer?
5
What is the cube root of 15230479 to the nearest integer?
248
What is 85516 to the power of 1/10, to the nearest integer?
3
What is the square root of 645077 to the nearest integer?
803
What is the cube root of 7189547 to the nearest integer?
193
What is 4343091 to the power of 1/3, to the nearest integer?
163
What is the sixth root of 858345 to the nearest integer?
10
What is the sixth root of 231627 to the nearest integer?
8
What is 1885565 to the power of 1/3, to the nearest integer?
124
What is the eighth root of 509985 to the nearest integer?
5
What is the square root of 136529 to the nearest integer?
369
What is 162730 to the power of 1/3, to the nearest integer?
55
What is 9557044 to the power of 1/2, to the nearest integer?
3091
What is the square root of 2166307 to the nearest integer?
1472
What is 2481843 to the power of 1/2, to the nearest integer?
1575
What is the square root of 6856924 to the nearest integer?
2619
What is the square root of 6051999 to the nearest integer?
2460
What is the third root of 2753888 to the nearest integer?
140
What is the cube root of 56588 to the nearest integer?
38
What is 5540339 to the power of 1/2, to the nearest integer?
2354
What is the third root of 209956 to the nearest integer?
59
What is the eighth root of 7748424 to the nearest integer?
7
What is 302586 to the power of 1/3, to the nearest integer?
67
What is the third root of 323882 to the nearest integer?
69
What is the fifth root of 920605 to the nearest integer?
16
What is the sixth root of 638115 to the nearest integer?
9
What is the ninth root of 6052176 to the nearest integer?
6
What is 3082240 to the power of 1/4, to the nearest integer?
42
What is the third root of 1145389 to the nearest integer?
105
What is the ninth root of 42207235 to the nearest integer?
7
What is 6016083 to the power of 1/2, to the nearest integer?
2453
What is the ninth root of 1717191 to the nearest integer?
5
What is 415230 to the power of 1/2, to the nearest integer?
644
What is the eighth root of 537733 to the nearest integer?
5
What is the cube root of 5063338 to the nearest integer?
172
What is the third root of 73138 to the nearest integer?
42
What is the fourth root of 15814335 to the nearest integer?
63
What is the cube root of 10474509 to the nearest integer?
219
What is the cube root of 1051401 to the nearest integer?
102
What is 545548 to the power of 1/10, to the nearest integer?
4
What is the third root of 239577 to the nearest integer?
62
What is the square root of 939219 to the nearest integer?
969
What is the square root of 7042896 to the nearest integer?
2654
What is the fifth root of 140289 to the nearest integer?
11
What is the square root of 2360048 to the nearest integer?
1536
What is the ninth root of 1832937 to the nearest integer?
5
What is 1788946 to the power of 1/7, to the nearest integer?
8
What is 19569 to the power of 1/6, to the nearest integer?
5
What is 1884390 to the power of 1/10, to the nearest integer?
4
What is the square root of 1367294 to the nearest integer?
1169
What is 689998 to the power of 1/8, to the nearest integer?
5
What is the square root of 1560057 to the nearest integer?
1249
What is 40436680 to the power of 1/10, to the nearest integer?
6
What is the cube root of 334501 to the nearest integer?
69
What is the third root of 1761291 to the nearest integer?
121
What is the eighth root of 250023 to the nearest integer?
5
What is the third root of 4257073 to the nearest integer?
162
What is the third root of 8645488 to the nearest integer?
205
What is 2555862 to the power of 1/2, to the nearest integer?
1599
What is the cube root of 18615056 to the nearest integer?
265
What is 31684981 to the power of 1/3, to the nearest integer?
316
What is the fifth root of 507121 to the nearest integer?
14
What is 11447523 to the power of 1/2, to the nearest integer?
3383
What is the ninth root of 715716 to the nearest integer?
4
What is 25145291 to the power of 1/9, to the nearest integer?
7
What is the cube root of 635713 to the nearest integer?
86
What is the fifth root of 1739943 to the nearest integer?
18
What is 1043853 to the power of 1/8, to the nearest integer?
6
What is the ninth root of 449222 to the nearest integer?
4
What is the square root of 255341 to the nearest integer?
505
What is the cube root of 30659825 to the nearest integer?
313
What is the fourth root of 1453538 to the nearest integer?
35
What is 56274 to the power of 1/3, to the nearest integer?
38
What is 24505504 to the power of 1/5, to the nearest integer?
30
What is 713585 to the power of 1/2, to the nearest integer?
845
What is the ninth root of 16240912 to the nearest integer?
6
What is the third root of 19360827 to the nearest integer?
269
What is 745189 to the power of 1/6, to the nearest integer?
10
What is 122506 to the power of 1/2, to the nearest integer?
350
What is 203373 to the power of 1/8, to the nearest integer?
5
What is the third root of 11730002 to the nearest integer?
227
What is 698290 to the power of 1/2, to the nearest integer?
836
What is 21989682 to the power of 1/5, to the nearest integer?
29
What is the cube root of 2649312 to the nearest integer?
138
What is 597490 to the power of 1/2, to the nearest integer?
773
What is the square root of 1418117 to the nearest integer?
1191
What is the square root of 892318 to the nearest integer?
945
What is the eighth root of 205575 to the nearest integer?
5
What is the cube root of 128538 to the nearest integer?
50
What is 1841226 to the power of 1/5, to the nearest integer?
18
What is 901639 to the power of 1/2, to the nearest integer?
950
What is 2827450 to the power of 1/4, to the nearest integer?
41
What is the sixth root of 577206 | {
"pile_set_name": "DM Mathematics"
} |
-4*h + 1697, -4*h + 9136 = b. Is h a composite number?
True
Suppose 0 = -7*v - 150 + 619. Is v a composite number?
False
Let x(w) = -8*w**2 - 4. Let y(m) = 16*m**2 + m + 8. Let r(u) = 5*x(u) + 3*y(u). Is r(-3) prime?
True
Suppose -2*r + 2*n = 0, 2*r + 2 - 4 = n. Suppose 3*j = -r*j + 335. Is j a composite number?
False
Let l(f) = -f**3 - 6*f**2 + 5*f - 8. Let o be l(-7). Let t be 22/o - (-7)/21. Suppose -t*s - 28 + 104 = 0. Is s a prime number?
True
Suppose z - 22 = -3*i, z - 4 = -4*i + 24. Suppose i*w = 3*w + 15. Suppose 0*s - w*s - 2*h = -60, 3*h = 3*s - 15. Is s prime?
False
Suppose h = -r + 11, 4*r - 50 = -r - 4*h. Let q(f) = f - 4. Let j be q(r). Suppose 0*k - 3*x - 98 = -j*k, -5*k + 245 = x. Is k a composite number?
True
Suppose j - 1 = -19. Let f be (-2)/5 - 765/25. Let l = j - f. Is l composite?
False
Suppose -5*w = -13 - 12. Suppose 563 = w*k - 362. Is k composite?
True
Suppose 46 = 3*i - 35. Suppose -3*n - 3*s = i, -3*n + 7*s - 4*s - 51 = 0. Let b = 66 - n. Is b prime?
True
Is (-1 - -2)/1*157 a composite number?
False
Let m(x) = -2*x**3 + 2*x**2 + 5*x + 1. Let r(y) = -2*y**3 + 2*y**2 + 6*y + 1. Let l(h) = 4*m(h) - 3*r(h). Let z be l(-1). Is -3*(-22)/z*1 a prime number?
False
Suppose -8 - 4 = -3*y. Suppose 3*g - 24 = -4*n, 2*g - n + 5*n = 20. Suppose 2*f + 54 = g*f + y*i, -i - 126 = -4*f. Is f a prime number?
True
Suppose 3*h + 2*h - 3*b - 2 = 0, 2*b = 5*h + 2. Is h + 1 + 71 + 7 a composite number?
True
Let w(i) = 5*i + 27*i**2 + 7*i**2 + 3*i**2 - 4*i**2 + 5. Is w(-2) composite?
False
Suppose -5*b = g - 189, -3*b = -g + 2*b + 179. Let o be 1 + 3*(-524)/(-6). Let u = o - g. Is u a prime number?
True
Suppose 3 = -v, 2*l + l - 3*v = 51. Suppose -20 = -2*b + 6*b, -3*i + b + l = 0. Let u = 10 - i. Is u prime?
True
Is 1569*1/2 + 36/72 composite?
True
Suppose 2*s - 1401 = 953. Is s prime?
False
Let l = -15 + 192. Is l a composite number?
True
Let u be 2 - 0/(2 - 1). Let i be u/(-4)*(-4)/2. Is i*59*(0 - -1) a prime number?
True
Let u = -9 - -9. Suppose u*h = -h + 4. Suppose h*y = 192 + 156. Is y a composite number?
True
Let c be (-2)/(4/362)*-1. Suppose 4*a - 767 = c. Suppose 3*f + 0 - a = 0. Is f a composite number?
False
Is ((-334)/(-1))/((-16)/(-8)) a prime number?
True
Let c be 5*(1 - 0 - 0). Suppose l - 10 = -l, c*l - 35 = -5*k. Is 64/k - 6/(-6) composite?
True
Suppose 69*s - 571 = 68*s. Is s a prime number?
True
Let l = 791 + -412. Is l composite?
False
Suppose f + 69 = 4*f. Suppose -78 = -5*i - f. Is i prime?
True
Suppose -6*c + c = -4*w + 17, 5*c + 5*w - 10 = 0. Is ((-125)/(-20))/(c/(-4)) a prime number?
False
Suppose -3*g + 176 = -187. Is g a prime number?
False
Suppose -5*b + 5*c + 726 = -349, 5*c = -b + 209. Suppose -5*h = -h - 5*o - b, 4*h + 4*o - 196 = 0. Is h a prime number?
False
Suppose -2*r = 2*d - 7*d + 6, -3*r + 5*d - 9 = 0. Is (-1014)/(-8) + r/(-12) composite?
False
Let p = -9 - -16. Let z(s) = -s**3 + 7*s**2 + 9*s + 4. Is z(p) a composite number?
False
Let z = -11 + 16. Suppose 5*b - 14 = -3*u, -2*u + z*b + 2 = 1. Suppose -4*k + 163 = u*x, -x - 3*k + 58 = 2*k. Is x a prime number?
True
Suppose -5*c = -5*d - 5775, -3*d = 4 + 8. Is c composite?
False
Let j(l) be the second derivative of 7/2*l**2 + 0 - 3*l + 3/2*l**3 + 1/12*l**4. Is j(-9) a composite number?
False
Is (-1278)/(-4) - 22/44 composite?
True
Let o = -119 + 262. Is o prime?
False
Let w(n) be the third derivative of n**6/20 + n**5/30 - n**4/12 + 4*n**2. Let v be w(4). Is v/9 + 2/3 a prime number?
False
Let w(y) = 41*y - 11. Is w(20) prime?
True
Suppose -3*l - 6 = -2*f + 2, 0 = 5*l + 3*f - 12. Suppose l*y + 5*y - 50 = 0. Let k = 24 - y. Is k prime?
False
Let h be (-10)/(-4) - (-1)/2. Suppose 0 = -h*c + 8*c - 30. Let i = 9 - c. Is i a composite number?
False
Let s(d) = -6*d - 1. Is s(-9) a prime number?
True
Let d be (0 + 2)/((-4)/(-10)). Let t = 32 - 19. Suppose 2*y - t = -2*v + 87, d = -y. Is v a composite number?
True
Suppose 5*y + 482 = 3*f - 544, 0 = -2*f - y + 671. Is f a prime number?
True
Suppose 3*d - 560 = 517. Is d a prime number?
True
Let z(a) = -3*a - 5. Let m be z(-4). Suppose -2*k = -d - 23, -2*d - 39 = 3*k - m. Let v = -5 - d. Is v a prime number?
False
Suppose -4*o + 20 = 4, 4*o = -3*k + 23743. Is k a composite number?
True
Is (2 + -1 - 0/6) + 514 a prime number?
False
Let t = -75 + 119. Suppose -5*m + t = -4*m - c, 3*m - 122 = 5*c. Is m prime?
False
Let s(l) be the third derivative of l**5/60 + 7*l**4/24 - 2*l**3/3 - 2*l**2. Is s(6) composite?
True
Let r(y) = -2*y - 4. Let t be r(-5). Suppose 0 = -4*q + q + t. Is (-110)/(-4)*(0 + q) a prime number?
False
Is (-2)/6 + (-37002)/(-63) a prime number?
True
Suppose 1256 = 4*x + 4*x. Is x prime?
True
Let k be (1/(-3))/(4/(-12)). Let q(w) = 2 - 54*w + 0 - k - 2. Is q(-1) composite?
False
Let f = 127 + -255. Let w be f/(-2) + (-2)/1. Let y = 117 - w. Is y prime?
False
Suppose -4*t - r + 3*r = -20, -2*r = -4. Suppose -2*n + t = n. Is n composite?
False
Let r(l) = -2*l - 6. Let v be r(-4). Suppose v*a + 12 = 5*t - 11, t = 3*a + 2. Let j = 16 - t. Is j a composite number?
False
Let z = -73 - -113. Suppose 122 = 4*b - 2*b. Let p = b - z. Is p a composite number?
True
Suppose 5*c + 3*i = -66, -4*i + 99 - 12 = -5*c. Let b be (c/2)/3*132. Is b/(-4)*(-2)/(-3) a composite number?
True
Suppose 73 = 5*q + 13. Let d = q + 0. Suppose 37 + d = j. Is j prime?
False
Let j be (2/2)/((-2)/(-42)). Let y = 8 + -6. Suppose 5*k + 4*z = 57, 4*k - k - y*z - j = 0. Is k a prime number?
False
Let w = -3 + 6. Suppose -w*c = 2*j - 805, -3*j - 1331 = -5*c - j. Is c a composite number?
True
Let t(g) be the second derivative of 11*g**4/4 - 2*g**3/3 - g**2 + 3*g. Is t(-3) a prime number?
True
Let y be 36/(-8)*(-30)/9. Is (10/y)/(2/447) a prime number?
True
Let n be 4/4 - 2/(-1). Suppose m - 5*j - 174 = 0, -n*m - 2*j + 128 = -309. Is m composite?
False
Suppose d - 5*v = 646, -2*v - 2042 + 143 = -3*d. Is d a composite number?
False
Suppose 3*z = 724 - 37. Suppose 0 = 4*c + 3*p + z, 0 = -2*c + 7*c - 2*p + 292. Let y = -5 - c. Is y a prime number?
True
Let n = 1448 - 853. Suppose -3*q = 2*q - n. Is q composite?
True
Suppose 10 = 5*b - 3*k, -b + 2*b - 4*k - 2 = 0. Let s(o) = 6*o**3 + 1. Is s(b) a prime number?
False
Let w be 246/(-2)*4/(-6). Let m be w/8*4/1. Suppose n - m + 10 = 0. Is n a composite number?
False
Let l(x) = 2391*x**2 - x - 1. Let t be l(-1). Let u = t + -1504. Is u composite?
False
Let z be (2 - 1)*(-80)/5. Let v be (23/(-4))/((-4)/z). Let q = 90 + v. Is q prime?
True
Let m(w) = w + 39. Let k be m(0). Suppose -3*s = -3*g + k, g + 4*s - 16 = 12. Is g/(-56) + 1647/7 a composite number?
True
Is (7 - (5 - 1)) + 594 composite?
True
Let j be (-852)/3*-8 + 2. Suppose -w - 5*w + j = 0. Is w a composite number?
False
Suppose 5*s - 3*s - 4*b + 18 = 0, -4*b - 18 = 2*s. Let p be (s/6 + 2)*4. Suppose u + u = 2, -u = p*r - 75. Is r a prime number?
True
Let p be (0/1 + 0)/(-2). Let x be 15 + 3 + -1 - -2. Suppose x = -p*m + m. Is m composite?
False
Let h = 21811 - 11850. Is h prime?
False
Suppose -u = -2*u. Suppose 2*s = 4 - u. Is (s/(-4))/((-1)/38) a composite number?
False
Suppose 2*u + 12 = 6*u. Suppose -12 = -7*z + u*z. Suppose 65 = 4*n - 5*r, -n + z*r = r - 17. Is n a composite number?
True
Let x be 0*(12/(-8))/(-3). Suppose 3*v - 310 - 83 = x. Is v a prime number?
True
Let y(k) = 23*k + 1 + 0 + 5 - 3. Let q be y(-4). Let g = -54 - q. Is g prime?
False
Suppose 0 = 4*n - 2*n - 4. Suppose 2*b = -3*b - n*m + 1110, 5*b - 1130 = 2*m. Suppose a = 2*k - 4*a - 130, -4*k + b = -a. Is k prime?
False
Let b(a) = 3*a**2 + 2*a - 22. Is b(7) a prime number?
True
Let h = -144 - -207. Suppose -2*w - h + 11 = 3*r, -3*r + 88 = -5*w. Is 94/10 - (-8)/w prime?
False
Suppose -869 = -4*z + 1071. Is z composite?
True
Suppose 2*m = -m. Suppose -3*z = -m*z + 12. Is (136/12)/(z/(-42)) a composite number?
True
Let c(h) = -3 - h - h**2 + 4 + 2. Let o be c(0). Suppose -o*t = -2*v - 99, 0*v + 33 = t - v. Is t a composite number?
True
Is (-3 - (-4 + -10306))/1 a prime number?
False
Let t(k) = 334*k**3 + k**2 + 2*k - 2. Let n be t(1). Suppose -3*q + n = 2*q. Is q composite?
False
Suppose 5*g = w - 118, 0*w + 126 = w + 3*g. Is w prime?
False
Let r = -366 - -1469. Is r a prime number?
True
Let f(u) = u - 4. Let m be f(6). Suppose -v - 2*g = -17, 7*g - 33 = -m*v + 2*g. | {
"pile_set_name": "DM Mathematics"
} |
-179 - -185. What is the greatest common factor of j and o?
2
Let k(u) = 85*u + 58. Let x be k(5). What is the highest common factor of x and 63?
21
Suppose -8 = a - 136. Let f be a/7 - 44/154. What is the greatest common factor of 36 and f?
18
Let b = -150 + 262. What is the highest common factor of 14 and b?
14
Let c(t) = t**2 - 6*t + 18. Let d be c(7). Calculate the greatest common factor of 35 and d.
5
Suppose a = -3*a - 12. Let p be -3 + 36/3 + a. Calculate the highest common factor of p and 4.
2
Let j be (-4)/(64/(-6)) + 2826/144. What is the greatest common divisor of j and 80?
20
Let j(h) = 2*h**2 - 7*h + 15. Let l be j(14). Suppose 10*b - l - 11 = 0. What is the greatest common divisor of 80 and b?
16
Suppose -d = 5*x - 27, -2*d + 0*x + 81 = x. Let c = 129 + -66. Calculate the greatest common factor of d and c.
21
Let y(b) = 3*b + 57. Let x be y(19). What is the greatest common factor of x and 190?
38
Suppose -3*y + y + 225 = -3*u, 4*y - 4*u = 452. What is the highest common divisor of y and 12?
6
Suppose -3*s + 8*s = 20. Let p be s/6*39/2. Let b = p - -4. What is the greatest common factor of b and 119?
17
Suppose 0*l + 19 = l. Let h(y) = 16*y + 15. Let k be h(5). Calculate the highest common factor of k and l.
19
Let h = -128 + 89. Let w be ((-26)/h)/(2/48). Let o = w - 2. What is the highest common factor of 112 and o?
14
Let v(b) = b + 5. Let m be v(10). Let k be (19 - m) + (-14)/(-1). Calculate the highest common factor of k and 27.
9
Suppose 3*v + v = 4*d - 52, -5*d + 3*v = -71. Let c = d + 4. Calculate the highest common divisor of 140 and c.
20
Suppose -4*w - 2*i - 88 = 0, 0 = 3*w + 5*i + 84 - 4. Let n be ((-70)/w)/((-2)/(-12)). What is the greatest common factor of n and 63?
21
Let f be (-2)/10 + (-11553)/(-15). Suppose -f = -4*k - k. What is the highest common factor of k and 14?
14
Suppose -72*f + 74*f - 3*v - 15 = 0, 0 = -5*f - 4*v + 26. Let a(w) = -w**2 - 6*w + 1. Let u be a(-5). Calculate the highest common divisor of f and u.
6
Let n be 3*-5*1/((-15)/(-55)). Let q = 60 + n. What is the greatest common factor of q and 20?
5
Let b(w) = 10*w**2 + w - 1. Let y be b(1). Suppose y = 5*l - 3*t, t = -t. Suppose -l*n = -0*n - 286. What is the highest common factor of n and 13?
13
Suppose -4*r + 3100 = w, 2*w = 3 + 5. Let j = 1118 - r. What is the highest common factor of 43 and j?
43
Let v = 371 + -327. Calculate the highest common factor of v and 12.
4
Suppose -12*z - 28 = -76. Suppose 4*c - 50 = 3*g - 16, 0 = -2*c - z*g + 28. Calculate the greatest common factor of c and 10.
10
Suppose -2*k + 2*d + 886 = 0, 2 = 2*d + 6. What is the highest common divisor of 18 and k?
9
Suppose 19 + 15 = 3*p - 5*z, -5*z - 18 = -p. Suppose 2 = -2*d + p. Calculate the greatest common factor of 15 and d.
3
Let x be (-51)/(-34) - 60/(-8). Let o = -10 - -154. Calculate the greatest common divisor of o and x.
9
Let a = -11 - -19. Let u = a - 23. Let t = u - -22. Calculate the greatest common divisor of t and 1.
1
Suppose 14 = 6*s + 2. Suppose -152 - 68 = -s*o. Calculate the greatest common factor of 22 and o.
22
Let i(p) = -p**3 + 18*p**2 - 28*p - 52. Let c be i(16). Calculate the greatest common divisor of 156 and c.
12
Let l = -58 + 46. Let p be (-4)/((4/l)/((-10)/(-12))). What is the highest common divisor of p and 10?
10
Let d be (-2088)/30*(-20)/12. Calculate the greatest common factor of 116 and d.
116
Suppose -15*a + 315 = -1725. What is the highest common divisor of 24 and a?
8
Suppose f + 2*f - 693 = 0. Let a be (-6)/24 + f/12. Let c(o) = 38*o**2 + o + 1. Let p be c(-1). Calculate the greatest common factor of p and a.
19
Let q = 135 - 78. Suppose 5 = 2*o - q. Calculate the greatest common factor of 217 and o.
31
Suppose 145 = -9*r + 154. Suppose -2*y - 2 + 4 = 0. Calculate the highest common divisor of y and r.
1
Suppose 2*l = -2*y + 1306, -3273 = -5*y - 7*l + 4*l. Calculate the greatest common divisor of y and 9.
9
Suppose 144 = 5*g + 14. Suppose -47 = -4*l + 61. Let h = l - 1. Calculate the highest common divisor of g and h.
26
Suppose 3*r - 6*r = -18. Suppose -r*g = -4*g - 2. Calculate the highest common divisor of g and 5.
1
Let p be 23 - 0 - 2 - 1. Suppose -3*v + r = 6*r + 31, -v - 4*r = 15. Let j(c) = -2*c - 4. Let q be j(v). Calculate the highest common factor of q and p.
10
Suppose -j + 87 = 2*j - 3*m, -151 = -5*j + 3*m. Let h = 2 + 286. What is the highest common divisor of h and j?
32
Let u be 58/145 + 636/10. Calculate the greatest common factor of u and 1.
1
Let n be 120 + (-28)/8 + (-7)/14. Calculate the greatest common factor of n and 290.
58
Suppose u - 2624 = -3*u. Let l = u - 453. Calculate the highest common divisor of 29 and l.
29
Let r(n) = -17*n - 17. Let h be r(-27). Calculate the highest common divisor of h and 34.
34
Let n = -21 - -39. Let z be (12/n)/((-2)/(-18)). Suppose -o = -z*o + 4*l + 26, -5*o + 34 = 4*l. Calculate the highest common factor of o and 66.
6
Let r(v) = -17*v + 1. Let t be r(-1). Let y = -1290 - -1335. Calculate the greatest common divisor of y and t.
9
Let t(r) = r**2 + 26*r - 272. Let i be t(-42). Calculate the highest common factor of i and 32.
16
Let u(j) = 6*j + 8. Let g be u(-6). Let d = 2 + g. Let o be (-469)/(-91) + 4/d. What is the highest common factor of 55 and o?
5
Let l = 84 - 32. Suppose 68 = 2*r + r + 5*p, -4*r - p = -102. What is the highest common factor of l and r?
26
Let l = 5 + -2. Suppose -283 = -5*b + 4*y, l*b - 65 - 94 = -3*y. Suppose -2*h = 2*c, -4*h + 0 = 5*c + 5. Calculate the greatest common factor of h and b.
5
Let w = 1868 + -718. Suppose -3*b + w = 2*b. What is the greatest common divisor of 23 and b?
23
Let n(b) = b**3 + b**2 + b + 108. Let o be n(0). Suppose -8*x - 344 = -80. Let g = -21 - x. Calculate the highest common divisor of g and o.
12
Suppose 8*l - 99 = -3. Suppose l = -c + 57. Calculate the greatest common factor of c and 18.
9
Suppose -3*r - 23 = -71. Calculate the greatest common factor of 400 and r.
16
Suppose 4*y + 185 = 4*d + y, -d + 59 = -5*y. Suppose 8*b + d = 9*b. What is the highest common factor of 22 and b?
22
Let q(m) = m**3 + 16*m**2 + 11*m + 4. Let l be q(-15). What is the greatest common factor of l and 48?
16
Let u be (-11)/(-2) - (-2)/4. Suppose 6 = 3*y - 2*y. Let x be (-24 + 87)/(y/4). Calculate the greatest common divisor of u and x.
6
Suppose -3*g = 3, -m + 2 = m - 2*g. Let v be (-3 - (1 + m))*(-169)/52. What is the highest common divisor of 91 and v?
13
Let h = 1784 - 1736. Calculate the highest common divisor of 1704 and h.
24
Suppose 0 = -15*y + 207 - 27. What is the highest common divisor of 12 and y?
12
Let u be 1/((3/7)/3). Let o = -1154 - -1175. Calculate the greatest common factor of o and u.
7
Let c be (1 + -18)*(-10 + 1). Let u be (-1)/4 - c/12. Let b = u + 19. What is the highest common divisor of b and 66?
6
Suppose 0 = -29*s - 2474 + 7346. Let r be 416/10 - 2/(-5). Calculate the highest common factor of r and s.
42
Suppose -2*b + 111 = -29. Suppose 0 = -6*p + 3 + 3. Suppose -5*f = p - 51. Calculate the highest common divisor of b and f.
10
Let w(q) be the first derivative of 11*q**2 + 2*q + 17. Let a be w(4). What is the greatest common factor of a and 36?
18
Let z(i) = -i + i - 4 + 3*i - 7. Let h be z(5). Let y be (-9)/(-1) + (5 - h). What is the greatest common factor of y and 20?
10
Let b = -20 + 62. What is the highest common divisor of 21 and b?
21
Let z = 5 + 3. Suppose 3*n = x + 7, -z + 25 = x + 3*n. Suppose -24 = -5*c + w - 2*w, 0 = x*c + 2*w - 23. Calculate the highest common factor of c and 40.
5
Suppose -2*h - 6*h = 256. Let s(p) = p**3 + 3*p**2 - 6*p - 4. Let r be s(-4). Let z be 1*(-14)/r*h. Calculate the highest common divisor of z and 14.
14
Let b(z) = -z**3 + 11*z**2 + 12*z + 5. Let o be b(12). Suppose o*f = -2*r + 480, 0 = -5*r + f - 4*f + 1162. What is the highest common divisor of 92 and r?
46
Suppose -2*b = -w + 31, -2*w + 4*w = 2*b + 52. Calculate the highest common factor of 798 and w.
21
Let s(w) = -12*w - 12. Let i = 17 - 22. Let c be s(i). Suppose -18*v + 21*v = c. Calculate the highest common factor of v and 24.
8
Let k(d) = 3*d**2 - 20*d + 84. Let i be k(15). Calculate the greatest common divisor of i and 27.
27
Let d = 170 - -350. Calculate the greatest common divisor of d and 52.
52
Suppose | {
"pile_set_name": "DM Mathematics"
} |
inder when b is divided by c?
7
Let k(b) = 3*b**3 - 7*b**2 + 5*b + 6. Let d be k(3). Suppose 0 = 42*u - d*u - 51. Calculate the remainder when 115 is divided by u.
13
Let m(n) = 7*n**2 - 2*n + 4. Let w = -10 - -13. Suppose 0 = -0*g - w*g - 3*d + 6, 0 = 2*g - 5*d - 11. What is the remainder when m(0) is divided by g?
1
Let m(k) = 0*k**3 - 34 + k**2 - k - k**3 + 48 + 15*k. Calculate the remainder when m(-5) is divided by 6.
4
Suppose -5*x = 15, 4*x = -3*c + 3*x + 3. Suppose -q + c*h + 1 + 9 = 0, 4*q - 3*h - 35 = 0. Let v = 46 + -26. What is the remainder when v is divided by q?
4
Let h be (-3)/(-12) - 18/8. Calculate the remainder when 339 + h + (-14)/(-7) is divided by 85.
84
Let l(m) be the second derivative of m**5/20 - 5*m**4/6 - 7*m**3/6 + 53*m**2 + 213*m. Calculate the remainder when 143 is divided by l(10).
35
Suppose -972 = -5*b + 3*q, 5874*b - 3*q - 180 = 5873*b. What is the remainder when 369 is divided by b?
171
Suppose 12*h - 4 = 32. Suppose 81 + 161 = 5*s + 2*w, 4*s - h*w - 212 = 0. What is the remainder when s is divided by 26?
24
Let z be (6 + (-204)/8)/((-1)/(-14)). Let o = 355 + z. Calculate the remainder when o is divided by 29.
24
Suppose 57 - 177 = -24*t. Let j be 0/(-3) + -1 + 1*14. Let l = j - 0. What is the remainder when l is divided by t?
3
Suppose 5*y - 33 = -8. Suppose 0*z - g + 15 = 4*z, y*g + 5 = -4*z. Suppose 4*p - 73 = 5*n, p - 27 = 5*n - z. Calculate the remainder when 50 is divided by p.
16
Suppose -5*q - 2*l = -50, 0*q + 5*l - 17 = q. Let k be (24 + -23)/(2/q). Suppose -k*c - c = -35. What is the remainder when c is divided by 4?
3
Suppose 8*n = 4*n + 4*r + 8, -4*r = 3*n + 29. Let d(j) = -52*j + 29. What is the remainder when d(n) is divided by 31/3*(0 + 3)?
30
Let j(y) = y**3 + 10*y**2 - 10*y + 70. Let f(p) = 6*p - 167. Let s be f(26). What is the remainder when j(s) is divided by 31?
28
Suppose 5*t = o + 1204, -20 = -o + 6*o. Calculate the remainder when ((-13)/4)/((-9)/108) is divided by (1/(-2))/((-8)/t).
9
Calculate the remainder when 6*(2/(8/1))/(1/1402) is divided by 19.
13
What is the remainder when 36 is divided by 19 - 0*11/(-143)?
17
Suppose 0 = 2*z + 2*p, -z - 4*p - 4 - 8 = 0. Suppose 0 = z*g - 5*k - 496, 295 = 4*g + 2*k - 201. Calculate the remainder when g is divided by 42.
40
Let c = 232 + -202. Calculate the remainder when 259 is divided by c.
19
Let h(x) = -127*x - 110. What is the remainder when 3075 is divided by h(-1)?
15
Suppose -15*q - 7*q + 1180 = -580. Calculate the remainder when 409 is divided by q.
9
Let b = -41 - -71. Let u(i) = 4*i - 86. Calculate the remainder when 133 is divided by u(b).
31
Let f = 16 - 2. Suppose -5*h + q = 259, h + 109 = -h - 5*q. Let u = -11 - h. What is the remainder when u is divided by f?
13
Let b(j) = 1107*j**2 + 7*j - 6. Let f be b(1). What is the remainder when (-12)/48*f/(-1) is divided by 35?
32
Calculate the remainder when (-24)/(-14)*(-10)/(-5)*42 is divided by 51.
42
What is the remainder when (2 - 3) + -58*(-176)/32 is divided by 46?
42
Suppose -5*k + 7 = w - k, -3*w + 5 = -4*k. Let s be (-3)/(w - (-12)/(-8)). Let u(g) = 3*g**2 + 3*g. Calculate the remainder when 11 is divided by u(s).
5
Let v = 11 + -3. Calculate the remainder when (168/48)/((-1)/(-24)) is divided by v.
4
Let l be ((-51)/6)/((-6)/12). Suppose -96 = -4*x + 2*q, l = x - 4*q - 0. Let h(b) = 18*b - 29. What is the remainder when x is divided by h(2)?
4
Let f = 4620 - 4596. What is the remainder when 3977 is divided by f?
17
Let b(g) = -2*g**3 + 21*g**2 + 8*g + 49. Suppose -8*s + 2*s + 522 = 0. What is the remainder when s is divided by b(11)?
7
Suppose 2 = t, -4*g + 5*t + 51 = 2773. Let h = g + 723. What is the remainder when h is divided by 14?
3
Let r(t) be the first derivative of 2*t**3/3 + t**2 + 5*t + 124. Suppose 3*m + 1 = -8. What is the remainder when r(m) is divided by 9?
8
Let k = 108 + -106. Suppose g - 2 = -1, 29 = w - k*g. What is the remainder when (-90 + 0)/(-1) + 1 is divided by w?
29
Let x(k) = 13*k**2 + 81*k - 21. Calculate the remainder when 880 is divided by x(-7).
47
Let t(b) = -300*b**3 - 4*b**2 - 6*b - 3. Let i be t(-1). Let h = 349 - i. What is the remainder when h is divided by 20?
10
Let x = 5519 + -5234. Calculate the remainder when x is divided by 60.
45
Suppose g - 430 = -4*g. Suppose x - 25 = -2*f, 5*x + 53*f = 56*f + 60. Calculate the remainder when g is divided by x.
11
Let m = -99 + 101. Suppose -4*j + m*j + 16 = 0. Let h = 42 - 15. Calculate the remainder when h is divided by j.
3
Suppose 0*c + 4*c = 576. Calculate the remainder when c is divided by ((-319)/(-121))/(163/1793).
28
Let b(f) = 3*f**2 + 29*f - 162. Let c be b(10). Suppose 20*m - 24*m = 4*x - c, 2*x + 306 = 3*m. Calculate the remainder when m is divided by 36.
32
Let h(z) = 4*z**2 - 63*z + 272. Calculate the remainder when 2311 is divided by h(7).
16
Let t(o) = o**3 + o**2 + 3*o - 11. Suppose -v + 107 = 2*x, 7*v - 460 = 2*v + 5*x. What is the remainder when v is divided by t(3)?
29
Let p(n) = -2*n**2 - 23*n - 2. Let m = 168 + -178. What is the remainder when p(m) is divided by (-1)/5 + 153/15?
8
Let r(a) = 22*a**2 + 1. Suppose 1 = -b + 2. Let j = 67508 - 67501. Calculate the remainder when r(b) is divided by j.
2
Suppose 4*x = 4*u - 188, 0 = 5*u + 3*x - 22 - 189. Let a(t) = t**2 - 45*t - 6119. Calculate the remainder when u is divided by a(-59).
10
Let a be (-3479)/(-9) - (-4)/9. Let t = a + -378. What is the remainder when 95 is divided by t?
5
Suppose -101 - 17 = -2*t. Calculate the remainder when t is divided by (504/(-60))/(-14) + (-67)/(-5).
3
Suppose 253 = 3*n - 2*y + y, 3*n - 5*y = 233. Let o(g) = g**3 + 16*g**2 - 26*g + 198. What is the remainder when (0 + 1)*(n + 1) is divided by o(-18)?
15
Let h(q) = 3*q**3 - 8*q**2 + 5*q. Let s be h(4). Let l be ((-52)/(-14) - 2)/((-8)/s). Let v = 24 + l. Calculate the remainder when 21 is divided by v.
3
Suppose 4*c - 96 = c - 4*l, 0 = -3*c + 3*l + 96. Suppose 0 = -24*k + 1435 + 27125. Suppose -1214 + k = -2*a. Calculate the remainder when c is divided by a.
8
Let q = -1066 - -1068. Suppose 2*u + q*s - 466 = s, -5*s + 1170 = 5*u. Let m(o) = -30*o - 1. Calculate the remainder when u is divided by m(-2).
55
Suppose -15*l - 5*l + 1620 = 0. Suppose m = -4*y + 37, -3*m + 5*y + 5 + 21 = 0. What is the remainder when l is divided by m?
13
Suppose -4*r = -14 - 6. Suppose -3*s = 2*y + 215, 3*s + 330 = -y - 2*y. Let i = 134 + y. Calculate the remainder when i is divided by r.
4
Let u(k) = -2*k**3 - 41*k**2 - 20*k + 14. Let a be u(-20). What is the remainder when 317 is divided by 3/(1 + (3 - a/4))?
5
Suppose 12*d = 650 - 134. Suppose -14*w - 1374 + 3684 = 0. What is the remainder when w is divided by d?
36
What is the remainder when 326 is divided by (-11)/(-3)*((-486)/(-27) + -12)?
18
Suppose 3*g + 5*c = 829, g + 4*g - 4*c = 1283. Let d = -75 + 141. What is the remainder when g is divided by d?
65
Suppose 5*s = 4*d - 0*s + 197, 0 = -4*s + 20. Let f = d + 46. Calculate the remainder when 6 is divided by f.
0
Let s(x) = -7*x + 54. Let c be s(9). Let u be c/(-18) + -2*14/(-8). Suppose -2*j + 26 - u = 0. What is the remainder when 21 is divided by j?
10
Suppose -208*v + 820 = -22*v - 22*v. Calculate the remainder when 2742 is divided by v.
2
Let b be -2*(1 + 0) - 1. Let f(m) = 2*m**2 + 5*m + 4. Calculate the remainder when 6 + 12*234/216 is divided by f(b).
5
Let k = 32 + 36. Suppose k = 2*y + 214. Let w = -46 - y. What is the remainder when w is divided by 10?
7
Suppose 3*x = -9, -3*x + 8 = m - 69. What is the remainder when 1802 is divided by m?
82
Let k(m) = -64*m - 1739. What is the remainder when k(-61) is divided by 57?
56
Let d(f) = -3*f - 27. Let w be d(-11). Suppose -w*z + z + 19 = 2*i, -135 = -5*i + 5*z. What is the remainder when i is divided by 15?
7
Suppose 0 = -10*o - o - 11. What is the remainder when 186 is divided by o + (3 - -31) + (7 - 2)?
34
Let x = 1072 + -719. What is the remainder when x is divided by 118?
117
Let p(x) = -24*x**2 - 48*x - x**3 + 3*x**2 + 100*x - 31*x - 14. Calculate the remainder when 31 is divided by p(-22).
7
Suppose 7*z = 4*t + 3508, t + 2 = -0. What is the remainder when z is divided by 9?
5
Let v = 19 + -4. Suppose 4*b = 69 + v. Calculate the remainder when (-4)/40 + (-1402)/(-20) is divided by b.
7
Let g = 10 | {
"pile_set_name": "DM Mathematics"
} |
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