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at is the biggest value in -4/5, -4, o, -2?
o
Let w be 0 + (-15)/12 - (-59)/((-68204)/(-1309)). Let q = -47 - -330/7. Let s = -233/6 + 39. What is the smallest value in -1/2, q, s, w?
-1/2
Let b = 36.7 - 35.6. Let i = -12.3 - -9.3. What is the biggest value in -9, i, b?
b
Let r = 4774 - 4774. What is the fifth smallest value in 3, 0.2, r, -5, 191?
191
Let y = 0.9 - 30.9. Let m = -29.84 - y. Suppose -3*z - 12 = k, 2*z + 2*k - 6 = -14. Which is the second smallest value? (a) z (b) m (c) -4/3
c
Let k = -5.49 - -5.45. Let f = -33 - -10. Let p = 22.7 + f. What is the smallest value in -5, k, p?
-5
Let k be 66/(-825) + 236/450. Let s = -17.4 + 15. Let v = s + 0.4. Which is the second smallest value? (a) 5/3 (b) v (c) k
c
Let j = -0.1 + -0.2. Let k = 1041/5080 - 5/1016. Which is the biggest value? (a) -4 (b) j (c) k (d) 4
d
Let z = -5 + 5.22. Let d = z - 0.42. Let l = d - 0. What is the second smallest value in 0, 4, l?
0
Let m(s) = -s**2 - 2*s - 2. Let v be m(0). What is the second biggest value in 1/5, v, -4/19?
-4/19
Let o be (96/58 + -2)/(-23 - -24). Let v = o - -99/203. Let j = -5.4 - -5. What is the second biggest value in 12, v, j?
v
Let n = -35059 + 35056. Let w = -0.2 - -0.3. Which is the third smallest value? (a) 0.6 (b) 2 (c) w (d) n
a
Suppose 4*p - 22 = -a, 5*a = p + 17 - 12. What is the second smallest value in -2, -0.05, p, 2?
-0.05
Let f = 0.24 - 0.04. Let v = -242.1 + 242.5. Which is the third biggest value? (a) f (b) 3/4 (c) v (d) 2
c
Let k = 8886 - 8883. Which is the smallest value? (a) 1.4 (b) k (c) 13
a
Let u = 56079 + -56085. Let j = -4.9 + -0.1. What is the third smallest value in 3, u, j?
3
Let l = -12751 - -12758. Which is the smallest value? (a) -2.5 (b) l (c) 2
a
Let p = 1189/792 + -1/792. Which is the fourth biggest value? (a) -1.9 (b) p (c) -6 (d) -1 (e) -0.2
a
Let p = 0.38 + 0.12. Let m = -110 + 190. Let n = -76 + m. What is the third biggest value in p, n, -0.1?
-0.1
Let m be (-6)/15 - (-4)/10. Let j = -112.9 - -112.4. Which is the smallest value? (a) -2 (b) m (c) 4 (d) j
a
Let r = -178 - -161.7. Let s = -51.8 - r. Let j = s + 36. What is the third smallest value in -3, j, -1?
j
Let x = 137 + -55. Let t = x - 34. Let q = 51 - t. Which is the third biggest value? (a) -1 (b) 0 (c) q (d) -0.02
d
Let r = -7 + 75/11. What is the third biggest value in 1/6, -1, r, -2/169?
r
Suppose 3*b - 5*j + 17 - 83 = 0, 2*j = b - 21. Suppose -2*f = g - b, -2*f + 52 = 4*g + 10. What is the smallest value in f, -2, -1/3, 1/4?
-2
Let v = 3.7 - 30.7. Let o = -28 - v. Let w = 2797/13 - 215. Which is the smallest value? (a) 2/17 (b) w (c) o (d) 5/2
c
Let m = -0.343 + 0.079. Let k = m + 0.064. Let d = -0.8 + 0.3. What is the second biggest value in 3, d, -0.1, k?
-0.1
Let o = -14.2 - -13.2. Let b = 1583 - 1585. What is the biggest value in -3.7, o, b?
o
Let i = -0.1 + 2.1. Let s = -0.524 + 0.63. Let m = s + 0.894. What is the fourth biggest value in m, 13, -1, i?
-1
Let g = -1.95 - 0.05. Let q be (11920/(-200) - -59)*(8/3)/(-4). Which is the third smallest value? (a) g (b) q (c) 0.11
b
Let d = 2/31 + -349/3968. Let g = d - 45/128. What is the biggest value in g, 0.08, 0?
0.08
Let k = 30.349 - -5.651. Which is the smallest value? (a) 2/9 (b) k (c) 0
c
Let z = -3470.1 - -3470. What is the biggest value in z, -2/485, 0.1?
0.1
Let q = 88.1 + -83.1. What is the third smallest value in -0.3, 63, q, -1/7, -3?
-1/7
Let r = 0.252 + 0.208. Let s = r + 2.54. Which is the second biggest value? (a) 0 (b) 0.3 (c) s
b
Let f = 13/55 - -113/220. What is the third smallest value in -0.286, 0.1, f?
f
Let j = -26617/3584 + -1/512. Which is the third biggest value? (a) 1/3 (b) j (c) -11 (d) 0.4
b
Let v = 4.95 - -0.05. Let n = -176/53 - -2500/689. What is the biggest value in n, 3/2, v?
v
Let s = -4.5 - -0.5. Let q be 6*161/(-138)*(-26)/(-91). Which is the fourth biggest value? (a) s (b) -3 (c) 2 (d) q
a
Let q = 15694 - 15694.3. Which is the smallest value? (a) 13 (b) -85 (c) -4 (d) q (e) -0.4
b
Suppose -2*d + 22 = 5*g, 8 = -g - 5*d + 17. Suppose -g*n + 7 = -1. What is the biggest value in -2/5, 15, n?
15
Let l = 477 + -476.88. Suppose 14 + 10 = 12*i. What is the biggest value in i, 8, l?
8
Let t be (11/(-3) - -4)/(9/(-135)). Let h = 15 + -14.9. Which is the second biggest value? (a) h (b) t (c) 2/3 (d) -0.54
a
Let n = -198 - -102. Let a = -97 - n. What is the biggest value in a, 0.5, -2/9, 4?
4
Let z = 1.9 + -2. Let n = 402.2 + -12.2. Let c = 381 - n. What is the smallest value in c, z, 2?
c
Let f = 110.734 + -110.334. Let o = -0.5 + 1.5. Which is the second smallest value? (a) o (b) f (c) -0.2 (d) -5
c
Suppose 0 = 3*a + 4*u + 13, -106*u - 7 = a - 102*u. What is the second biggest value in 1/3, 94, 4, a?
4
Let y = 196298/5 - 39260. Let v = 71/5 + -69/5. Which is the third biggest value? (a) y (b) 0.5 (c) v
a
Let f = 0.21 - 0.06. Let i = -9.15 + f. Let j be (-4)/((-24)/(-21)) - -3. What is the smallest value in 3/7, 3, j, i?
i
Let q = 8.2888 + -0.2888. Let p = 3 + -23/8. Which is the fourth smallest value? (a) q (b) 3/4 (c) 0.5 (d) p
a
Let f = 46 - 46.3. Let c = 27.1 + -27. Let h = 0.1 - c. What is the second smallest value in f, h, -2/17?
-2/17
Let y(w) = -15*w - 379. Let o be y(-25). Let x be ((-63)/14 - o) + -12. Which is the third biggest value? (a) -3/5 (b) -1/2 (c) x
c
Let p(x) = x + 13. Let t be p(-9). Suppose 2*n + 475 = -3*n + 470. Let z = -3 - 0. What is the second smallest value in z, t, n, -5?
z
Let m = -69.8 + 66.26. Let s = m + 3.24. What is the third biggest value in 0, s, -1, 52?
s
Let p be -73*3 + (-1)/(-3)*(-60)/4. What is the biggest value in p, -0.5, 0.5?
0.5
Let w = 0.624 + -0.324. Let f = 0.046 - -0.054. What is the third smallest value in w, f, -17?
w
Let y = -0.0311 + -0.0271. Let t = y + 2.8682. Let z = t + 0.19. What is the smallest value in 2/15, -1/17, z?
-1/17
Let o = -7 + 9. Suppose 47*i - 90 = 7*i + 70. What is the smallest value in 0.4, 0.6, o, i?
0.4
Let v = 129.74 - 131. Let n = v - -1.16. Which is the smallest value? (a) -0.4 (b) -3/4 (c) -2/9 (d) n
b
Let o be (-1 + 139/99)*3*-15. Let j = -18 - o. Let y = 11 - 16. What is the smallest value in -0.4, j, y?
y
Let h = 17/297 + 1954/297. Let y = h + -241/33. Which is the third smallest value? (a) 0.2 (b) -0.053 (c) y
a
Let l be 30/(-120) - 3/4. Let m be l/(-3) - 0/(-2). Let t = -0.5 + 0. What is the second smallest value in m, 1, 0.1, t?
0.1
Let f = -448 - -457. Let o = -0.055 - 12.545. Let p = 13 + o. Which is the biggest value? (a) p (b) f (c) -2/7
b
Let q = 7113/22 - 647/2. Let f = 11 - 11.05. What is the third smallest value in -3, q, f?
f
Let s = -1851 - -1849. Which is the third biggest value? (a) s (b) 138 (c) -5
c
Suppose 4*a - 2*l = -6, -9*a - 13 = -5*a - 3*l. What is the second smallest value in 0.2, -1/12, a, 4?
0.2
Let g = -46 + 48.7. Let d = 1.7 - g. Let m = 0.629 + -0.129. What is the fourth smallest value in 0, d, -3/8, m?
m
Let g = 0.66 - -163.34. Let x = 164.4 - g. Which is the second biggest value? (a) x (b) 28 (c) -0.5
a
Let r = 42 + 39. Let s = -95 + r. Let q be (-5)/s - (-31)/62. What is the third smallest value in q, 4/7, -0.5?
q
Suppose -5*z + 4*z + 2*t + 19 = 0, -5*t - 64 = -4*z. Let y = 463.7 + -464. What is the second smallest value in z, y, -0.1, -3?
y
Let u = 4754 + -9515/2. What is the third biggest value in 0.4, u, 1.1, -3/7?
-3/7
Let w = 59.333 - 0.133. Let j = w - 59. Suppose t - 2*i - 10 = 0, -2*t - i + 3*i = -10. Which is the fourth smallest value? (a) t (b) j (c) -6/5 (d) 1
d
Let u be 72/(-10)*19/(2280/16). Which is the second biggest value? (a) u (b) 2/5 (c) 0.3
c
Let n = -54 + 109/2. Let h = -64 - -81. Let z = 20 - h. Which is the fourth smallest value? (a) 0.04 (b) -1 (c) z (d) n
c
Suppose -d - 4*d = 70. Let k = 19 + d. Let b be 4/14*66/(-132). What is the second smallest value in -0.3, k, b, 2/5?
b
Suppose 4*x = -x + 20. Let w be (-5988)/(-7984)*(-2)/(-4). What is the second biggest value in -2/7, w, -2/13, x?
w
Let y be ((-2)/6)/(1/1). Let k = 1310.9622 - -0.0378. Let w = k - 1308. Which is the third smallest value? (a) y (b) 9 (c) w
b
Let c = -20324 - -20333.7. Let r = 0.01 - 0.41. What is the biggest value in 2, c, r?
c
Suppose -50*h | {
"pile_set_name": "DM Mathematics"
} |
= -13. Calculate f(i) - 13*u(i).
13*i
Let v = -53 - -52. Let b = 6 - v. Let d(q) = 2434*q + 1 - 2434*q + q**2. Let u(g) = 2*g**2 + 2. Give b*d(j) - 4*u(j).
-j**2 - 1
Let v = 5534 + -5526. Let q(n) = -5*n**3 - n**2 - 3*n + 29. Let g(o) = -14*o**3 - 3*o**2 - 8*o + 86. Give v*q(m) - 3*g(m).
2*m**3 + m**2 - 26
Let d(o) = 28*o**2 - 19*o - 24. Let s(u) = u**2 + 3*u + 4. What is d(h) + 6*s(h)?
34*h**2 - h
Let n(t) = 15*t**2 - 2. Let s(f) = 25*f**2 + 12*f**2 + 22*f**2 - 74*f**2 + 16*f**2 - 1. Determine n(b) - 2*s(b).
13*b**2
Let q(s) = 815*s + 17. Let i(w) = -9*w - 2. Determine 18*i(k) + 2*q(k).
1468*k - 2
Let d(k) = 2*k**3 - 2*k**2 + 107*k. Let g(w) = -2*w**3 + 3*w**2 - 109*w - 1. Calculate -3*d(t) - 2*g(t).
-2*t**3 - 103*t + 2
Let c(a) = 273*a + 195. Let r(n) = 39*n + 27. Give -2*c(s) + 15*r(s).
39*s + 15
Let y = -77 - -528. Let v(h) = 2 - 1 + 451*h - h**3 - y*h. Let m(x) = -4*x**3 - 2*x**2 - x + 5. Calculate 2*m(n) - 10*v(n).
2*n**3 - 4*n**2 - 2*n
Let v(s) be the second derivative of -19*s**5/20 - 4*s**3/3 + s**2/2 - 65*s + 70. Let i(b) = 6*b**3 + 3*b. What is 8*i(y) + 3*v(y)?
-9*y**3 + 3
Let a = -9 - -5. Let x(j) be the third derivative of -j**6/15 - 2*j**3/3 - 11*j**2 + j - 212. Let l(v) = 25*v**3 + 11. Give a*l(h) - 11*x(h).
-12*h**3
Let n(z) = 3*z + 2090. Let t(o) = 3*o + 2098. Determine -5*n(b) + 6*t(b).
3*b + 2138
Let t(i) = -29*i + 4. Let m(y) be the first derivative of -29*y**2 + 9*y - 1953. Determine -4*m(a) + 9*t(a).
-29*a
Let u(w) = -2*w**3 + w**2 - w - 1. Let c be (3/51*-2)/(28994/646 - 45). Let p(q) = -5*q**3 - 1 + 4*q**3 - q + 0*q + q**2. What is c*p(z) - u(z)?
z**3
Let t(y) = 9*y + 1. Let a(r) = 542*r + 7. What is -a(f) + 5*t(f)?
-497*f - 2
Let j(h) = 9*h**2 + 50*h - 7. Let p(d) = -31*d**2 - 199*d + 26. What is -11*j(y) - 3*p(y)?
-6*y**2 + 47*y - 1
Let z be (-2)/7 + (-4)/(140/(-255)). Let n be 19/(-133) - -11*2/z. Let y = n - 28. Let g(c) = 20*c. Let s(w) = -w. Give y*s(h) - g(h).
5*h
Let z(x) = -25*x + 3. Let r(y) = -1010*y + 117. Let l(b) = -b + 2. Let m(t) = -4*l(t) - 2*r(t). Determine 6*m(j) + 484*z(j).
44*j
Let x(s) = -3087*s**3 + 42*s**2 + 30. Let z(y) = -3*y**2 - 2. What is x(i) + 14*z(i)?
-3087*i**3 + 2
Let m(o) = -2*o + 11. Let u(g) = 5*g + 1889 - 3757 + 1836. Determine -8*m(z) - 3*u(z).
z + 8
Let k(i) = 23*i**2 - 116*i**2 - 1 + 31*i**2 + 29*i**2 - 7*i. Let z(d) = -11*d**2 - 2*d. Determine -2*k(o) + 7*z(o).
-11*o**2 + 2
Let v be ((-5)/2)/((-460)/184). Let h(w) = w - 23. Let k(d) = -1. What is v*h(t) - 5*k(t)?
t - 18
Let u(b) = b**2. Let r(s) = -31 + 56 - 8*s**2 + 0*s**2 - 6*s - 25. Calculate -2*r(z) - 18*u(z).
-2*z**2 + 12*z
Let q(i) = 22*i**2 - 5*i - 2. Let b(w) = 44*w**2 - 9*w - 3. Let z be (0 - 3) + (39/(-26))/((-3)/20). Determine z*q(f) - 4*b(f).
-22*f**2 + f - 2
Let z(o) = 15*o + 2667. Let s(n) = 3*n + 527. Calculate -21*s(d) + 4*z(d).
-3*d - 399
Let t(i) = 5*i**3 - i**2 + 3*i + 5. Let h(u) = 4*u**3 + 4 - 188*u - 204*u + 394*u. Calculate 3*h(f) - 2*t(f).
2*f**3 + 2*f**2 + 2
Let r(k) = k**2 - k + 1. Let w(p) = -16*p**3 + 7*p**2 - 7*p + 7. Let j be 2/(-2) - (1/6 - 155/(-186)). Give j*w(u) + 14*r(u).
32*u**3
Let p(a) = 3*a + 10. Suppose 5 + 24 = -64*q - 35. Let i(h) = h + 1. What is q*p(l) + 6*i(l)?
3*l - 4
Let o(h) = 43*h**2 + 13*h + 7. Let z(g) be the first derivative of 7*g**3 + 3*g**2 + 3*g - 227. Give -4*o(v) + 9*z(v).
17*v**2 + 2*v - 1
Let w(k) = -6*k - 5. Let b be (-41 + 39)*(-3)/(-2). Let d(v) = -13*v - 9. Determine b*d(t) + 7*w(t).
-3*t - 8
Let i(a) be the second derivative of -a**5/10 - 4*a**4 + 5*a**3/6 + a**2/2 - 6399*a. Let z(m) = -3*m**3 - 72*m**2 + 8*m + 2. What is -8*i(j) + 5*z(j)?
j**3 + 24*j**2 + 2
Let i be (-1 - 0)/(-4 - -3). Let s(f) = 3*f + 16. Let c(w) = -w. Give i*s(v) + 5*c(v).
-2*v + 16
Let t(j) = -j**2 + 6*j - 9. Let n be t(4). Let g(b) = b**3 + 1. Let x(s) = 0*s**3 - 2 + 571379*s**2 - 571379*s**2 + 3*s**3. What is n*x(d) - 2*g(d)?
-5*d**3
Let v(i) = -i**3 + 292*i**2 - 5*i + 6. Let l(z) = -3*z**2 - z + 2. Give -3*l(b) + v(b).
-b**3 + 301*b**2 - 2*b
Let a(w) = -10*w - 24 - 23 + 47. Let u(m) = -5*m - 3. Let s(i) = -10*i - 5. Let o(v) = -3*s(v) + 5*u(v). What is 3*a(p) + 5*o(p)?
-5*p
Let m(z) = -850*z**2 - 6*z + 20. Let a(o) = -849*o**2 - 5*o + 16. Give -5*a(i) + 4*m(i).
845*i**2 + i
Let v(y) = -2*y**2 + 22. Let l(b) = 38*b**2 - b + 181. Calculate -l(u) + 6*v(u).
-50*u**2 + u - 49
Suppose 4*d - 5*x - 1 = 0, -d - 5*x + 16 = 22. Let a(w) = w**3 - w**2 + 2*w + 6. Let y(r) = r**2 - 1. Give d*y(u) - a(u).
-u**3 - 2*u - 5
Let c(r) = 33*r - 5. Let x(q) = 98*q - 14. Let p(s) = -27*s**3 + 2511*s**2 + s - 98. Let h be p(93). Give h*x(z) + 14*c(z).
-28*z
Suppose 0 = -5*a + 4*c + 6, 9*c - 13*c = 16. Let g(b) = 6*b - 3. Let k(x) = x - 1. Determine a*k(i) + g(i).
4*i - 1
Let x(r) = 5*r**3 - 11*r**2 - 26*r - 5. Let i(g) = -3*g**3 + 7*g**2 + 17*g + 3. Give 22*i(n) + 14*x(n).
4*n**3 + 10*n - 4
Let l(j) = -92*j**2 + 28*j + 6. Let v(o) = -836*o**2 + 253*o + 55. Give -55*l(a) + 6*v(a).
44*a**2 - 22*a
Let d(g) = -9*g**3 + 33*g**2 - 21*g + 21. Suppose 64 = 19*o - 11*o. Let n(v) = o*v**2 + 47*v**3 - 5*v + 5 + 44*v**3 - 93*v**3. Determine -5*d(p) + 21*n(p).
3*p**3 + 3*p**2
Let c(d) = 3*d**2 + 4*d + 3. Let t = -76 + 71. Suppose -4*a + 5*v - 6*v - 17 = 0, 4*v + 11 = 3*a. Let b(x) = -2*x**2 - 2*x - 2. Determine a*c(w) + t*b(w).
w**2 - 2*w + 1
Let d(c) = -2*c - 725. Let b(g) = 8*g + 2162. Give 3*b(j) + 10*d(j).
4*j - 764
Let q(c) = 28*c**3 + 21*c + 10. Let x(s) = 15*s**3 + 10*s + 4. Calculate -2*q(h) + 5*x(h).
19*h**3 + 8*h
Let n(w) be the second derivative of w**3 - 5*w**2/2 + 3*w. Let t = 0 - 1. Let u(a) = 62*a + 1236. Let c be u(-20). Let h(j) = -j + 1. Give c*h(o) + t*n(o).
-2*o + 1
Let d(z) = z + 11. Let a(w) = -25*w**2 - 4*w - 43. Determine -a(k) - 4*d(k).
25*k**2 - 1
Let h(g) = -3*g - 7. Let a(z) = z + 1. Let t be (-1 - 1)/(-2) - 1. Suppose t = -4*m - 2*i - 5 + 15, 4*m + 3*i = 5. Let f = -4247 - -4248. Give f*h(c) + m*a(c).
2*c - 2
Let k(h) = 67*h**3 + 2396*h. Let y(f) = -20*f**3 - 799*f. Determine 3*k(u) + 10*y(u).
u**3 - 802*u
Let y(z) = -z**3 + 2*z**2 + 1. Let t(u) = 2*u**3 - 3*u**2 - 2. Let l = -5 + 352. Suppose l*g - 348*g = 3. What is g*t(d) - 7*y(d)?
d**3 - 5*d**2 - 1
Let c(g) = -86*g**2 + 87*g + 52. Let z(u) = -19*u**2 + 22*u + 13. What is 2*c(k) - 9*z(k)?
-k**2 - 24*k - 13
Let s(d) = -4. Let l(f) = 3701*f + 11. Determine l(g) + 3*s(g).
3701*g - 1
Let i(m) = -106*m**3 + 16*m**2 - 16*m + 16. Let a(d) = 309*d + 293. Let o be a(-1). Let n(u) = 21*u**3 - 3*u**2 + 3*u - 3. What is o*n(l) - 3*i(l)?
-18*l**3
Let d(h) = 3*h**2 - 5*h + 4. Let k(f) = -f**3 + 3*f**2 - 6*f + 4. Determine 2*d(s) - 3*k(s).
3*s**3 - 3*s**2 + 8*s - 4
Let q(v) = 19*v + 3. Let c(g) = g**3 - 27*g**2 - 326*g + 75. Let o be c(36). Let h(m) = 18*m + 2. Give o*h(x) - 2*q(x).
16*x
Let b(d) = -27*d**2 + 4*d + 2. Let q(y) = -9*y - 6049*y**2 + 3040*y**2 - 4 + 3064*y**2. Determine 9*b(i) + 4*q(i).
-23*i**2 + 2
Let y(l) = -5*l - 3. Let c(p) = -11*p. Let i(m) = 32*m - 1. Let b(o) = 3*c(o) + i(o). Determine 2*b(s) - y(s).
3*s + 1
Let y(g) be the second derivative of -g**5/5 - g**4/4 + 4*g**3/3 - 3*g**2/2 - 271*g - 1. Let r(p) = -p**3 - p**2 + p - 1. Give -6*r(c) + 2*y(c).
-2*c**3 + 10*c
Let h(c) = 397684*c**2 + 784*c + 784. Let p(t) = 2533*t**2 + 5*t + 5. Determine 5*h(u) - 784*p(u).
2548*u**2
Let u(c) = -c**3 + 11*c + 4 + 10*c - c**3 + 12*c + 4*c**3 - 38*c. Let s be -10*1*1/2. Let q(f) = f - 1. Calculate s*q(m) - u(m).
-2*m**3 + 1
Let q(t) = -t**3 + t**2 - t. Let i(w) = -2*w**3 + 7*w**2 + 6*w + 4. Let c(r) = -5*r**3 + 16*r**2 + 13*r + 8. Let a(s) = -4*c(s) + 9*i(s). What is -a(o) - q(o)?
-o**3 - o - 4
Let s(u) be the second derivative of 5/6*u**3 + 0*u**2 + 0 - 30*u. Let l(h) = 13*h + 3. Let f(n) = n + 1. Let o(j) = 4*f(j) - l(j). Determine 3*o(y) + 5*s(y).
-2*y + 3
Let j(c) = 232*c + 149. Let q(w) = -231*w - 119. Calculate 4*j(u) + 5*q(u).
-227*u + 1
Let d(c) be the first derivative of 2*c**2 + 9*c - 1. Suppose 6*l = 55 - 7. Let w(n) = -11 - 2 - n - l + 18. What is 2*d(u) + 7*w(u)?
u - 3
Let k(t) = 9*t + 340. Let p(q) = 12*q + 341. Determine 7*k(r) - 6*p(r).
-9*r + 334
Let h(g) be the third derivative of g**5/30 - g**3/6 + 3*g**2 + 31*g - 12. Let q(v) be the second derivative of v**3/6 + v**2/2 + v. Determine -h(d) + q(d).
-2*d**2 + d + 2
Let t(f) = 22* | {
"pile_set_name": "DM Mathematics"
} |
9952
What comes next: -756, -548, -340?
-132
What is the next term in -7648, -30891, -69622, -123835, -193524, -278683, -379306, -495387?
-626920
What is next in -221, -897, -2031, -3623, -5673, -8181?
-11147
What is the next term in -1096, -853, -612, -367, -112, 159?
452
What comes next: -959, -1843, -2703, -3539?
-4351
What is next in -712, -2847, -6436, -11503, -18072, -26167, -35812, -47031?
-59848
What is the next term in 82, 175, 448, 991, 1894, 3247, 5140?
7663
What is the next term in 177, 527, 877, 1227, 1577?
1927
What comes next: -151, -287, -441, -625, -851, -1131, -1477?
-1901
What is the next term in -239, -644, -1051, -1460, -1871, -2284, -2699?
-3116
What comes next: 337, 453, 545, 619, 681, 737, 793, 855?
929
What is next in 13179, 26379, 39579, 52779?
65979
What comes next: -618402, -618400, -618398, -618396, -618394, -618392?
-618390
What is next in 46, -26, -98, -170, -242, -314?
-386
What comes next: -3, 109, 221, 333, 445?
557
What is next in -554644, -554639, -554634, -554629?
-554624
What is the next term in 242042, 242033, 242012, 241973, 241910, 241817, 241688, 241517?
241298
What comes next: 377, 1647, 3761, 6719, 10521, 15167, 20657?
26991
What is the next term in -1144, -2345, -3556, -4777, -6008, -7249?
-8500
What comes next: 2035, 1874, 1607, 1234, 755, 170, -521?
-1318
What is next in -6146, -6129, -6100, -6059, -6006?
-5941
What is next in 379, 472, 591, 742, 931, 1164, 1447?
1786
What is next in 145, 126, 89, 28, -63, -190, -359?
-576
What is the next term in -861, -1661, -2459, -3261, -4073?
-4901
What is next in 1360, 2679, 3998?
5317
What is the next term in -136, -283, -466, -691, -964?
-1291
What is the next term in 69267, 69271, 69283, 69303, 69331, 69367?
69411
What is the next term in -20, -132, -328, -608, -972, -1420?
-1952
What is next in -1052, -1057, -1064, -1067, -1060, -1037?
-992
What is the next term in -56125, -56128, -56131, -56134, -56137?
-56140
What comes next: -2444, -9496, -21250, -37706?
-58864
What is next in -828, -904, -980, -1056?
-1132
What comes next: -11558, -11698, -11838, -11978, -12118?
-12258
What is the next term in 521, 1811, 3871, 6701?
10301
What is the next term in -79, -242, -489, -814, -1211, -1674, -2197, -2774?
-3399
What is next in 224, 533, 1372, 3005, 5696, 9709, 15308?
22757
What comes next: -1602, -1674, -1744, -1812, -1878?
-1942
What is next in -888, -1766, -2644, -3522, -4400, -5278?
-6156
What is next in 2776, 5533, 8290?
11047
What is the next term in 135, 416, 723, 1068, 1463, 1920?
2451
What comes next: 51271, 102551, 153831?
205111
What is next in -8845, -35400, -79659, -141622, -221289, -318660?
-433735
What is next in 30147, 120787, 271853, 483345, 755263?
1087607
What comes next: 796892, 1593783, 2390674, 3187565, 3984456?
4781347
What is the next term in -149728, -149730, -149736, -149746, -149760?
-149778
What is the next term in 4188, 4196, 4218, 4260, 4328?
4428
What is next in -17273, -17272, -17269, -17264, -17257, -17248?
-17237
What comes next: -123, -155, -213, -297, -407, -543, -705?
-893
What is next in 21169, 21153, 21127, 21091?
21045
What is the next term in -1504234, -3008467, -4512700, -6016933, -7521166, -9025399?
-10529632
What is the next term in -1631, -1669, -1705, -1739, -1771?
-1801
What comes next: 250, 535, 820, 1105, 1390, 1675?
1960
What comes next: -7475, -14950, -22425, -29900, -37375, -44850?
-52325
What is the next term in -3938095, -3938094, -3938093, -3938092, -3938091?
-3938090
What comes next: -16000, -16337, -16676, -17017, -17360?
-17705
What comes next: -3570251, -3570250, -3570249?
-3570248
What is next in -466, -405, -344, -283, -222, -161?
-100
What is the next term in 30, 60, 90, 120?
150
What is the next term in 503, 4741, 16441, 39335, 77155?
133633
What comes next: 7428, 7514, 7600?
7686
What comes next: -726187, -726185, -726183, -726181, -726179?
-726177
What is next in -80, -119, -158, -197, -236, -275?
-314
What comes next: 1454, 2880, 4308, 5738, 7170, 8604, 10040?
11478
What is next in -441, -1523, -2603, -3681, -4757, -5831, -6903?
-7973
What is the next term in 404, 1350, 2296, 3242, 4188?
5134
What is the next term in -242, -452, -660, -866?
-1070
What is next in -32, -224, -570, -1082, -1772?
-2652
What is next in 17638, 17614, 17574, 17518, 17446, 17358, 17254?
17134
What is next in -39361, -78690, -118033, -157396, -196785, -236206?
-275665
What is the next term in -295, -134, 135, 512, 997, 1590?
2291
What is next in -111256, -222510, -333762, -445012, -556260?
-667506
What is next in -26590, -53179, -79772, -106369, -132970, -159575, -186184?
-212797
What is the next term in 97741, 97736, 97729, 97720, 97709?
97696
What is next in -64629, -64636, -64655, -64692, -64753?
-64844
What is the next term in -5817, -11594, -17329, -23016, -28649, -34222, -39729, -45164?
-50521
What is next in 53, -26, -147, -310, -515?
-762
What is the next term in -82, -199, -368, -613, -958, -1427?
-2044
What is the next term in 544, 4341, 14658, 34759, 67908, 117369, 186406?
278283
What is the next term in 19451, 19485, 19519, 19553?
19587
What is next in -10416, -20080, -29744?
-39408
What is next in -183, -186, -201, -234, -291, -378, -501, -666?
-879
What is next in -2, 115, 272, 469?
706
What is next in -167, -398, -675, -998, -1367?
-1782
What is the next term in 206, 447, 700, 965, 1242, 1531, 1832?
2145
What comes next: 42, 284, 900, 2076, 3998?
6852
What comes next: 904, 937, 980, 1039, 1120, 1229?
1372
What is the next term in -5446, -5443, -5452, -5479, -5530, -5611, -5728, -5887?
-6094
What comes next: -1235, -2487, -3753, -5033?
-6327
What is the next term in 1194950, 1194952, 1194954, 1194956, 1194958, 1194960?
1194962
What comes next: -202347, -202353, -202371, -202407, -202467?
-202557
What is next in 161957, 161964, 161971, 161978, 161985?
161992
What is the next term in -307, -1060, -2319, -4084, -6355, -9132?
-12415
What is next in 2117, 4270, 6423, 8576?
10729
What comes next: 14609, 14622, 14635, 14648, 14661, 14674?
14687
What comes next: -2050072, -2050083, -2050108, -2050153, -2050224, -2050327, -2050468, -2050653?
-2050888
What is the next term in -33098, -66161, -99210, -132239, -165242?
-198213
What is next in -263469, -263473, -263479, -263487?
-263497
What comes next: 552, 2427, 6014, 11691, 19836, 30827, 45042, 62859?
84656
What comes next: 9451, 9362, 9273, 9184, 9095?
9006
What is next in 2234, 2226, 2202, 2162, 2106, 2034, 1946?
1842
What is next in -288, -423, -648, -963, -1368, -1863, -2448?
-3123
What comes next: -110842, -221685, -332528, -443371, -554214?
-665057
What is next in -170, -463, -894, -1475, -2218?
-3135
What comes next: -2171, -2203, -2297, -2483, -2791?
-3251
What is next in 13971, 13917, 13827, 13701, 13539, 13341, 13107?
12837
What is next in -427, -406, -371, -322, -259?
-182
What comes next: -177, -406, -635, -864, -1093?
-1322
What is the next term in -117, -22, 73, 168, 263, 358?
453
What is the next term in 709, 639, 539, 409, 249, 59, -161?
-411
What comes next: 1338, 2723, 4106, 5487?
6866
What comes next: -63, -76, -89, -102, -115?
-128
What comes next: -155, -521, -1537, -3533, -6839, -11785, -18701, -27917?
-39763
What is the next term in -219849, -219855, -219873, -219909, -219969?
-220059
What is the next term in 18, 75, 132, 189, 246?
303
What is the next term in -30, 22, 74?
126
What is next in -79, -616, -1511, -2764, -4375, -6344, -8671?
-11356
What is next in -87, -762, -2577, -6102, -11907?
-20562
What comes next: 3536, 14151, 31842, 56609, 88452, 127371, 173366?
226437
What comes next: -13037, -13028, -13017, -13004, -12989?
-12972
What is the next term in 203, 312, 447, 614, 819?
1068
What is next in 2810057, 11240232, 25290523, 44960930, 70251453?
101162092
What is next in 37422, 37425, 37428, 37431, 37434?
37437
What comes next: -333, -316, -285, -234, -157?
-48
What is the next term in 1249, 1389, 1527, 1663, 1797, 1929?
2059
What is the next term in 475444, 950890, 1426336, 1901782, 2377228, 2852674?
3328120
What is next in -1404, -2639, -3888, -5157, -6452?
-7779
What is the next term in -1155, -2386, -3693, -5076, -6535, -8070?
-9681
What is next in 66190, 132386, 198582, 264778, 330974, 397170?
463366
What is next in -608, -1526 | {
"pile_set_name": "DM Mathematics"
} |
, -29248, -29258?
-29268
What comes next: 24, 43, 86, 165, 292, 479, 738, 1081?
1520
What comes next: -989, -1108, -1227, -1346, -1465?
-1584
What comes next: -17042, -34051, -51032, -67973, -84862, -101687, -118436, -135097?
-151658
What is the next term in -803, 279, 2089, 4633, 7917?
11947
What is next in 3642, 3643, 3644, 3645?
3646
What is next in 359, 1614, 3705, 6632, 10395?
14994
What is the next term in -277063, -554128, -831193, -1108258?
-1385323
What comes next: 142647, 285296, 427945, 570594, 713243, 855892?
998541
What comes next: 1827, 1692, 1471, 1164, 771?
292
What comes next: -682, -677, -670, -661, -650?
-637
What comes next: -140, -157, -206, -305, -472?
-725
What is the next term in -4063, -8141, -12233, -16345, -20483, -24653, -28861?
-33113
What is the next term in -18184, -18212, -18278, -18400, -18596, -18884, -19282?
-19808
What is next in -1183, -1151, -1107, -1051, -983, -903?
-811
What is the next term in 15, 4, -91, -276, -557, -940, -1431?
-2036
What comes next: 3148, 6319, 9490?
12661
What is next in -20911, -20880, -20797, -20638, -20379, -19996, -19465?
-18762
What is the next term in -12, 57, 238, 531?
936
What is next in 3460, 3440, 3420, 3400, 3380?
3360
What is the next term in -168, -626, -1392, -2466, -3848?
-5538
What is the next term in -288, -271, -248, -219, -184, -143, -96?
-43
What comes next: 5658, 5625, 5588, 5547?
5502
What comes next: -1517560, -3035120, -4552680?
-6070240
What is next in -3094, -2880, -2666?
-2452
What is next in -538, -4231, -14280, -33871, -66190, -114423, -181756?
-271375
What is next in -4464, -8815, -13166, -17517?
-21868
What comes next: 343, 368, 393, 418, 443, 468?
493
What comes next: 41181, 41186, 41191, 41196, 41201, 41206?
41211
What is next in 73712, 147425, 221130, 294821, 368492?
442137
What is next in 357, 444, 583, 774, 1017?
1312
What is next in 4285, 8564, 12843, 17122?
21401
What is next in -36, -77, -130, -195, -272?
-361
What comes next: 113192, 452761, 1018710, 1811039, 2829748?
4074837
What is next in 18226, 18272, 18318, 18364, 18410, 18456?
18502
What is next in -49921, -99798, -149673, -199546, -249417?
-299286
What is the next term in -306971, -307030, -307137, -307298, -307519, -307806, -308165, -308602?
-309123
What is next in 795, 805, 841, 915, 1039?
1225
What is the next term in 268, 247, 220, 187?
148
What is next in -1705, -1613, -1509, -1393, -1265?
-1125
What comes next: 345, 305, 167, -117, -595?
-1315
What is the next term in -7857, -7875, -7893, -7911, -7929, -7947?
-7965
What is the next term in 58078, 464591, 1567982, 3716689, 7259150, 12543803?
19919086
What is the next term in 681, 388, -393, -1908, -4403, -8124, -13317, -20228?
-29103
What comes next: 215, 424, 633, 842, 1051?
1260
What is next in -245463, -490925, -736385, -981843, -1227299, -1472753, -1718205?
-1963655
What is the next term in -11446, -22893, -34336, -45775, -57210, -68641?
-80068
What comes next: 36106, 36084, 36056, 36022, 35982, 35936, 35884?
35826
What is the next term in 13489, 26967, 40437, 53899, 67353, 80799, 94237?
107667
What is next in -362, -195, -28?
139
What is next in 109, 98, 49, -56, -235, -506, -887?
-1396
What is the next term in -2041, -2043, -2049, -2059, -2073, -2091?
-2113
What is next in -201, -173, -87, 87, 379, 819, 1437?
2263
What is next in -316, -538, -760, -982, -1204, -1426?
-1648
What comes next: 557, 908, 1273, 1658, 2069, 2512, 2993, 3518?
4093
What is the next term in -287, -452, -615, -776, -935, -1092, -1247?
-1400
What is the next term in 3930, 7933, 11936?
15939
What is the next term in -1169, -9488, -32059, -76004, -148445, -256504, -407303, -607964?
-865609
What is next in -195, -382, -571, -774, -1003, -1270, -1587, -1966?
-2419
What is the next term in -2413, -4817, -7215, -9607, -11993, -14373?
-16747
What is next in -1175, -2965, -5369, -8393, -12043, -16325, -21245, -26809?
-33023
What is the next term in -272, -371, -468, -563, -656, -747?
-836
What is next in -58632, -58633, -58634, -58635, -58636, -58637?
-58638
What comes next: -113897, -227795, -341693, -455591?
-569489
What comes next: 32, 61, 102, 155, 220, 297?
386
What is next in 493, 972, 1445, 1912, 2373?
2828
What is next in -10705, -10635, -10513, -10339, -10113, -9835, -9505?
-9123
What is the next term in 681941, 681942, 681943, 681944?
681945
What is next in 2317, 9568, 21755, 38878, 60937?
87932
What is next in 1131, 2277, 3419, 4551, 5667, 6761, 7827, 8859?
9851
What comes next: -152136, -304267, -456386, -608487, -760564?
-912611
What is next in 133, 1290, 4425, 10528, 20589, 35598, 56545?
84420
What is next in -7396, -7390, -7382, -7372, -7360?
-7346
What is next in 99890, 99889, 99886, 99881?
99874
What is next in 138, -1663, -6548, -16059, -31738, -55127?
-87768
What is next in -199, -417, -631, -841, -1047, -1249, -1447?
-1641
What comes next: 168, 1447, 4910, 11649, 22756?
39323
What is next in 268, 218, 168, 118, 68, 18?
-32
What comes next: 180, 679, 2030, 4659, 8992, 15455?
24474
What is the next term in -113202, -226388, -339574?
-452760
What is the next term in 51, 593, 1495, 2757?
4379
What is the next term in 43240, 43248, 43256, 43264?
43272
What is next in -101842, -203659, -305476, -407293, -509110, -610927?
-712744
What comes next: -978, -3407, -7274, -12567, -19274, -27383, -36882?
-47759
What is the next term in 3490, 3599, 3708, 3817, 3926, 4035?
4144
What comes next: -90, -195, -328, -489, -678, -895?
-1140
What is next in 20232, 20193, 20154, 20115, 20076?
20037
What comes next: -45570, -45574, -45570, -45552, -45514, -45450?
-45354
What is next in -42, 175, 536, 1041?
1690
What is the next term in -8918, -9024, -9130, -9236?
-9342
What comes next: -206071, -206070, -206069, -206068, -206067, -206066?
-206065
What is the next term in 361, 727, 1093, 1459?
1825
What is next in -41, -32, 45, 196, 427, 744, 1153?
1660
What comes next: -1058404, -1058406, -1058408, -1058410?
-1058412
What is next in 23381, 23382, 23383?
23384
What comes next: 172, 215, 260, 307, 356, 407, 460?
515
What comes next: -5512456, -5512455, -5512454, -5512453?
-5512452
What is the next term in -297, -342, -417, -522?
-657
What is next in 2775608, 2775606, 2775604, 2775602?
2775600
What comes next: -463, -1765, -3937, -6979, -10891, -15673, -21325?
-27847
What is the next term in 629, 1308, 2143, 3212, 4593, 6364, 8603?
11388
What is next in -15, -251, -899, -2169, -4271, -7415, -11811?
-17669
What comes next: 93312, 186624, 279938, 373254, 466572, 559892?
653214
What comes next: 2101, 4202, 6311, 8434, 10577, 12746, 14947, 17186?
19469
What is next in -2214, -2215, -2218, -2223, -2230, -2239, -2250?
-2263
What is next in 149738, 299474, 449210, 598946?
748682
What is next in -68404, -68402, -68400, -68398?
-68396
What is the next term in 14, 45, 96, 173, 282, 429, 620?
861
What comes next: 99, 986, 3441, 8250, 16199, 28074?
44661
What is next in -1183, -4750, -10693, -19012, -29707?
-42778
What comes next: 103, 150, 117, -26, -309, -762, -1415, -2298?
-3441
What is next in 1457, 1433, 1391, 1331, 1253, 1157?
1043
What is the next term in -28073, -28079, -28097, -28133, -28193?
-28283
What is the next term in -245147, -245160, -245173, -245186, -245199?
-245212
What is next in -71, -204, -427, -740, -1143, -1636, -2219?
-2892
What is next in -483836, -967683, -1451532, -1935383, -2419236, -2903091?
-3386948
What comes next: -22574, -45145, -67716, -90287?
-112858
What comes next: -585, -750, -1203, -2088, -3549, -5730?
-8775
What is next in -423, -765, -1075, -1335, -1527, -1633, -1635, -1515?
-1255
What comes next: -437, -1662, -3667, -6446, -9993?
-14302
What is next in 711, 1419, 2121, 2817, 3507?
4191
What comes next: 482944, 482946, 482948, 482950, 482952, 482954?
482956
What is the next term in 1343, 1990, 2641, 3296, 3955, 4618?
5285
What is next in -278645, -278643, -278637, -278627, -278613, -278595?
-278573
What is the next term in 458, 910, 1362, 1814?
2266
What comes next: -670, -575, -482, -391?
-302
What is the next term in -552, -489, -390, -255?
-84
What is the next term in -118, -235, -356, -481?
-610
What is next in -522, -1874, -4124, -7266, -11294?
-16202
What is next in 856192, 1712380, 2568568?
3424756
What comes next: -50, -297, - | {
"pile_set_name": "DM Mathematics"
} |
easing order.
n, j, -0.2
Let t = 58/423 + 4/47. Sort 1/6, t, 2, -1/7.
-1/7, 1/6, t, 2
Let r(i) = -i - 4. Let q be r(-6). Let j = -3299 + 3298. Put 4, q, j in descending order.
4, q, j
Let g = 1642.3 + -1642. Sort g, 1, -15.
-15, g, 1
Let v = 1 + 0. Let g be (-31 + 32)*(-12)/(-3). Sort -1, v, 0, g.
-1, 0, v, g
Let j = 638.2 + -733. Let v = j + 95. Put -4, v, 3 in decreasing order.
3, v, -4
Let a = 31801/5 - 6360. Let y be (-841)/(-330) + (-2)/(-6). Let w = -27/10 + y. Put w, -2/7, a in ascending order.
-2/7, w, a
Let w be (-2*(-2)/(-4))/3. Put -3/2, w, -2/13, -1 in decreasing order.
-2/13, w, -1, -3/2
Suppose 80 = -142*g + 132*g. Put 1, g, 12 in increasing order.
g, 1, 12
Let t(z) be the first derivative of z**4/4 + 8*z**3/3 + 5*z**2/2 - 9*z - 3. Let w be t(-7). Let p = 7 + -8. Sort -2, p, w in descending order.
w, p, -2
Let r = 6765 + -6766. Suppose 0 = -0*m + 2*m + 16. Let f be 0/(4/(-1 + 3)). Sort m, f, r in ascending order.
m, r, f
Let q be (2/25)/((-114)/30 + 4). Sort 1/8, 3, q in ascending order.
1/8, q, 3
Let n be (0 + -3)*1 - -31. Suppose -17*c - n = -10*c. Sort 0, c, 3, -2.
c, -2, 0, 3
Let t = 8944/21 + -426. Sort t, 1/4, -15, -0.1.
-15, -0.1, t, 1/4
Let v be 1/(-3)*2*(-22 + 16). Let b(k) = k**2 + 6*k + 1. Let u be b(-7). Put u, v, -4 in ascending order.
-4, v, u
Let z = 279.8 + -247. Let i = 33 - z. Let f = -1.02 + 1. Put f, 2/3, i in decreasing order.
2/3, i, f
Let y = -0.291 + 0.091. Sort 1/2, 4/5, y, 2/13 in descending order.
4/5, 1/2, 2/13, y
Let o = 43 - 39. Let a(q) = -q**2 + 6*q - 7. Let j be a(5). Sort o, j, -3 in descending order.
o, j, -3
Let y(t) = 20 - 12 + t - 5*t - 11. Let b be y(-3). Let r be b/2 + (-4)/8. Sort 2, 0.2, r in decreasing order.
r, 2, 0.2
Let z(n) = n**3 - n**2 - n - 2. Let d be z(2). Let b(m) = m**3 - 4*m**2 - 3*m + 10. Let u be 1 - 1/(2 - 14/6). Let h be b(u). Put d, 3, h in ascending order.
h, d, 3
Let b be (-2)/13 + 1107/351. Let p = -12 + 13. Sort -6, b, -2, p in descending order.
b, p, -2, -6
Suppose -4*v - 3 = -y, 2 = -5*v - 26*y + 29*y. Put v, 2, 5 in decreasing order.
5, 2, v
Let r(y) = -y**2 + 6*y - 5. Let v be r(4). Suppose 0 = -v*m - 9 + 21. Put 2/7, m, -2 in ascending order.
-2, 2/7, m
Suppose -60 = 3*n - n. Suppose -10 - 25 = 7*t - 2*m, -3*t = m + 2. Sort 2, t, 1, n in ascending order.
n, t, 1, 2
Let j(u) = u**3 + 3*u**2 + 8*u + 20. Let b = 63 - 66. Let m be j(b). Suppose -v - 12 = 3*x - 4, 3*x - 3*v = 0. Put 0, m, x in descending order.
0, x, m
Let m = -26 - -23. Let x be (1 - 11 - -1) + 4. Sort 3, m, x in descending order.
3, m, x
Let z = -3/7 - -2/21. Let d = 5.12 + -0.12. Sort d, 2, z.
z, 2, d
Let b = -30 + 25.4. Let c = b + 3.6. Put 2, c, 4/5 in decreasing order.
2, 4/5, c
Let s(k) = k**2 - 20*k + 108. Let c be s(10). Put -1, 4, 11, c in increasing order.
-1, 4, c, 11
Let o = -341 - -336. Put -7, -3/5, o, -0.3 in increasing order.
-7, o, -3/5, -0.3
Let k(i) = -14*i + 136. Let u be k(10). Sort 32, -0.2, u in ascending order.
u, -0.2, 32
Let g = 333 - 324. Put g, 0, 4, -5 in increasing order.
-5, 0, 4, g
Let j be (11/((-11)/10))/2. Let p be (52/(-20) - 9/(-15))/j. Let q = -0.7 + -3.3. Sort p, -0.8, q in ascending order.
q, -0.8, p
Let x = 50 - 45. Sort x, -105, 1 in descending order.
x, 1, -105
Suppose 145 = 2*k - 5*d, -5*k = 3*d - 273 - 12. Sort -5, -3, k.
-5, -3, k
Let c = -7 - 2. Let p = c + 4. Let o = 17.1 + -17. Sort p, -4, o in decreasing order.
o, -4, p
Suppose -10 = -5*j - 5*l, -3*j - 3*l = -2*l + 4. Sort -5/4, 2, j, 5 in descending order.
5, 2, -5/4, j
Suppose 49*o = 7*o. Sort o, -4, 2.
-4, o, 2
Let k(r) = -r**2 - 22*r - 113. Let p be k(-12). Sort 1/9, 5, p in increasing order.
1/9, 5, p
Let c = -148 - -158. Sort 0.1, -2, c.
-2, 0.1, c
Let f = -505.8 - -506. Put -0.3, -3, 0, f in decreasing order.
f, 0, -0.3, -3
Let t(l) = -l**3 + 17*l**2 - l + 15. Let y be t(17). Let h = 29 - -7. Let j be ((-54)/h)/((-3)/8). Sort 3, j, y in descending order.
j, 3, y
Let l(o) be the first derivative of -o**4/4 - 2*o**3 + 4*o**2 + 8*o + 1. Let f be l(-7). Sort f, -7, -2 in decreasing order.
f, -2, -7
Let l = -18 - -28. Let f = l + -10.1. Put 0.7, f, -2 in ascending order.
-2, f, 0.7
Let p(u) = u**3 + 4*u**2 - 13*u - 12. Let v be p(-6). Let s be (-2)/(-1*(-1 - -2)). Put 1, s, v in decreasing order.
s, 1, v
Let c be 2/3*150/(-10). Let k = c - -40. Suppose -2*z + 3*z + k = 5*y, -z + 5 = 2*y. Put -1, y, 0 in decreasing order.
y, 0, -1
Let u be (18/4)/(27/18). Let p be 1/4 - (-17)/(-4). Sort u, 0.1, p in descending order.
u, 0.1, p
Suppose 0 = 4*x - 7*x + 6. Suppose 3*k = x*k - 6. Let a be -1*2*15/k. Put -4, a, 0 in ascending order.
-4, 0, a
Let o = 90/11 + -393/44. Let b = -6 + 10. Put o, b, -0.01 in decreasing order.
b, -0.01, o
Suppose 0 = -9*h - 261 + 225. Sort 111, 4, h.
h, 4, 111
Let g(m) = -2*m - 1. Let a be g(-2). Let u = a - 7. Let r(h) = -4*h + 26. Let t be r(7). Put t, u, 0.2 in descending order.
0.2, t, u
Let d(c) = 2*c**2 - 11*c + 35. Let l(u) = -u**2 + 6*u - 17. Let x(z) = -2*d(z) - 5*l(z). Let s be x(5). Let i = 4 - 8. Sort i, s, 2 in decreasing order.
2, s, i
Let j(v) = -7*v - 94. Let n be j(-14). Put -3, 0, n, -4 in descending order.
n, 0, -3, -4
Let l = -1.98 + -0.02. Let a = 0 + l. Let x = 3 + -3.5. Sort x, a, 1.
a, x, 1
Let d = 28 + -33. Let y be (-9)/18*(-1 + -1). Sort -7, d, y, 3.
-7, d, y, 3
Let z = -3.5 + 0.5. Let m = -21.38 - -0.38. Let y = 25 + m. Put z, y, -2/5 in decreasing order.
y, -2/5, z
Let n = -875 + 875. Let h = 5 - 10. Put h, 16, 3, n in decreasing order.
16, 3, n, h
Let r(a) = 4*a**2 - a + 1. Let j be r(1). Let m be j/(-5)*5/(-2). Let n(o) = -o**2 + 2*o + 2. Let h be n(3). Put 1, h, m in decreasing order.
m, 1, h
Let l = 396.59 - 396. Put 0.1, -3/5, l, -3 in increasing order.
-3, -3/5, 0.1, l
Let n be (4/(-14))/(3/(-42)). Suppose 1 + n = 5*d. Suppose 16 = 2*f + 3*q + 2*q, 5*f = q - 14. Sort 0, f, d in decreasing order.
d, 0, f
Let m be (10/4)/(1/2). Let c = 1 + -13. Let h be -3*((-40)/c)/m. Sort -1, h, 2/9 in ascending order.
h, -1, 2/9
Let q = 95/3 + -32. Let v be (-4)/(-3)*(-39)/(-13). Let y = -39 + 38. Put q, v, y in decreasing order.
v, q, y
Let q = 3/920 + -1897/17480. Put 1, 7, q, 4/5 in ascending order.
q, 4/5, 1, 7
Let b(o) = o**3 - 11*o**2 + 11*o - 14. Let r be b(10). Suppose 0 = 4*l - l + 3. Sort r, 0, 3, l in descending order.
3, 0, l, r
Let u = 0.11 - -3.89. Let g = 1111050 + -21105259/19. Let b = -247 + g. Put u, b, -0.5 in increasing order.
-0.5, b, u
Suppose -6*u + 2*u - 480 = 0. Let w = u + 116. Sort w, 0, -7 in ascending order.
-7, w, 0
Let m = 328 + -327. Sort m, 0.3, 19.
0.3, m, 19
Let d(i) be the second derivative of i**4/12 + i**3 - 15*i**2/2 + 2*i. Let g be d(-7). Put -1, 5, g in increasing order.
g, -1, 5
Suppose 127*w = 122*w. Sort w, 1, 8.
w, 1, 8
Let c = 5915/6 + -985. Sort -2/15, c, 4 in ascending order.
-2/15, c, 4
Let m(r) = 2*r**3 + 37*r**2 + 18*r + 12. Let k be m(-18). Sort -3, k, -4 in descending order.
k, -3, -4
Let m be (-3)/(-14)*(-8)/3. Let s be -6*(-1)/(-3) - (-11)/5. Sort -2/21, s, m in increasing order.
m, -2/21, s
Let b(g) = -g + 3. Let s be b(-5). Suppose w = -4*h - 3, -4*w + 10 = s*h - 3*h. Let f = -5 + 5. Sort f, -5, h in descending order.
f, h, -5
Suppose 0 = 27*n + 14 + 13. Put 4, n, -2, -4 in increasing order.
-4, -2, n, 4
Let i be 4/(-18) - (-704)/(-72). Let b be -3 + ((-4)/i)/((-2)/(-10)). Sort 1, 3, b, 4 in increasing order.
b, 1, 3, 4
Let u = 5 + -10. Let r = u + 4. Let o = 5.1 + -1.1. Sort -6, r, o in descending order.
o, r, -6
Let y = -14 + 13. Let b = -6.9 + 12.9. Sort -5, b, y in ascending order.
-5, y, b
Let b = -129 - -135. Sort -6, b, -3 in decreasing order.
b, -3, -6
Suppose 5*y = -0*q - 3*q - 3, q - 7 = y. Suppose -5*d = -1 - q. Put d, -1, 7 in decreasing order.
7, d, -1
Let u = -1 - 0. Let v = 1 + u. Let h be (-5 + 2)/(24/15 - 1). Sort v, 5, h in increasing order.
h, v, 5
Let y(m) = m**2 + 50*m - 100. Let k be y(2). Sort -42, -2, k.
-42, -2, k
Let q = 73 - 70. Sort -2, 1, -1, q in descending order.
q, 1, -1, -2
Suppose 51*f = 29*f + 2926. Put 5, 0, f in ascending order.
0, 5, f
Let v be 6*(-2)/6 - -8. Put 5, -3, v in increasing order.
-3, 5, v
Let y(n) = 2*n**2 + 13*n + 18. Let g be y(-7). Suppose -g = -2*p - 31. Put -1, 2, p, 3 in decreasing order.
3, 2, -1, p
Let v = -168 + 169. Put 5, -16/9, v in desc | {
"pile_set_name": "DM Mathematics"
} |
base 11.
-32a720
-12225322 (base 6) to base 3
-201221112112
Convert -1022001221221 (base 3) to base 9.
-1261857
b7b2 (base 14) to base 16
7be0
Convert -52552522 (base 6) to base 5.
-343221403
5824a9 (base 12) to base 3
2122211221010
What is -5a675 (base 11) in base 5?
-10243243
89aa (base 14) to base 8
56472
Convert -112021101001202 (base 3) to base 14.
-1016468
What is -100111000101100111 (base 2) in base 14?
-424bd
What is -1959b2 (base 12) in base 16?
-6cc56
-21006 (base 10) to base 9
-31730
What is 2104424 (base 6) in base 11?
6a79a
What is -9473b4 (base 12) in base 15?
-311d31
-14320031 (base 5) to base 15
-2ec46
4102114 (base 6) to base 3
100220022201
ca00 (base 13) to base 8
66626
What is -11576 (base 12) in base 6?
-255430
What is 808460 (base 9) in base 7?
4032225
10aca9 (base 13) to base 6
12250410
Convert -6a249 (base 13) to base 16.
-2f4c7
1001010101101011 (base 2) to base 7
216343
-101544516 (base 8) to base 11
-97a3133
-1907d (base 15) to base 14
-217c2
What is -15010305 (base 6) in base 10?
-514625
Convert -9b24 (base 15) to base 4.
-20001310
What is -11540443 (base 8) in base 12?
-a2596b
1020021210012 (base 3) to base 8
2377556
What is -7a10a7 (base 16) in base 2?
-11110100001000010100111
Convert -33966b (base 13) to base 11.
-763a2a
What is -329967 (base 10) in base 8?
-1204357
What is -1112100202112 (base 3) in base 16?
-c6c26
-141361 (base 8) to base 14
-14289
What is -18354 (base 16) in base 8?
-301524
Convert 431416 (base 10) to base 5.
102301131
1616631 (base 8) to base 2
1110001110110011001
100101110100000010101011 (base 2) to base 10
9912491
670891 (base 12) to base 2
110010000001111101101
1010001110111101110 (base 2) to base 13
b9837
Convert 47251 (base 12) to base 3.
11211211221
Convert -416219 (base 10) to base 9.
-703845
Convert 54065 (base 14) to base 7.
1504155
-100321312 (base 4) to base 7
-405601
-3127112 (base 8) to base 16
-cae4a
What is -320103 (base 8) in base 14?
-2ab99
11614 (base 12) to base 7
125026
Convert -a575de (base 15) to base 3.
-112210221010102
111220022001 (base 3) to base 9
456261
What is -2222112102 (base 3) in base 9?
-88472
What is 72532 (base 10) in base 9?
120441
What is -157a97 (base 13) in base 8?
-2015533
What is -224113 (base 6) in base 15?
-59a3
61123 (base 10) to base 14
183bd
-1d1ba (base 16) to base 6
-2315550
Convert -3b13d (base 14) to base 3.
-21101211200
What is 2710667 (base 11) in base 9?
8731776
Convert 1101111100100001000010 (base 2) to base 11.
2077686
What is 3311321302 (base 5) in base 14?
d3a73d
What is 1162526 (base 9) in base 16?
9a3bf
-1323240034 (base 5) to base 14
-62c0d8
-b830bb (base 12) to base 15
-3c6b12
What is -1222312010 (base 4) in base 15?
-89a0b
What is 246260 (base 8) in base 12?
41354
What is 11144 (base 9) in base 5?
214121
Convert 33bb78 (base 13) to base 2.
100101011001111010111
What is 1352223 (base 7) in base 5?
21242001
What is 2010212122101 (base 3) in base 5?
242423132
2154573 (base 10) to base 13
5a58c5
Convert -113131 (base 8) to base 15.
-b60e
Convert -41411210 (base 5) to base 13.
-bc53b
What is 2201201 (base 5) in base 14?
da32
What is -204110043 (base 5) in base 14?
-180c15
-480464 (base 10) to base 5
-110333324
Convert -1010100100010010000 (base 2) to base 4.
-1110202100
What is -10100101100011111 (base 2) in base 9?
-138245
What is -1667b (base 12) in base 5?
-2011223
144080 (base 9) to base 2
10101100011011001
What is -14862 (base 16) in base 11?
-58184
554424 (base 6) to base 5
2441014
What is -425464 (base 7) in base 9?
-122437
Convert -751747 (base 8) to base 4.
-331033213
What is -48658b (base 13) in base 6?
-101011030
222201102220 (base 3) to base 12
214436
6987 (base 11) to base 16
23d2
Convert 13044265 (base 7) to base 5.
301000421
What is -564b5 (base 14) in base 9?
-348323
What is 1320301332 (base 4) in base 10?
494718
-100111220210 (base 3) to base 6
-4003033
What is -2252521 (base 6) in base 9?
-186064
What is -2101049 (base 11) in base 15?
-4d2e22
What is -246316 (base 7) in base 13?
-178b1
-454987 (base 11) to base 10
-723917
11100111001000011111 (base 2) to base 10
946719
Convert 138071 (base 9) to base 14.
22bac
400314 (base 6) to base 10
31222
What is 1001001111111010111010 (base 2) in base 6?
123544322
Convert -11001000011110001 (base 2) to base 10.
-102641
Convert 86581 (base 11) to base 2.
11110101101110000
121102021111101 (base 3) to base 11
4a1a279
What is 11100001002120 (base 3) in base 12?
9311b9
What is 12111002000220 (base 3) in base 14?
55c234
What is 1a54a7 (base 16) in base 12?
6b2747
500761 (base 14) to base 11
157851a
Convert 134482 (base 10) to base 7.
1100035
Convert 2182020 (base 12) to base 4.
120120012120
Convert 5522253 (base 6) to base 8.
1031531
What is -252035 (base 6) in base 15?
-69e2
Convert 446465 (base 7) to base 4.
103110131
Convert -14700226 (base 9) to base 3.
-111210000020220
What is -1a1499 (base 12) in base 13?
-13098c
-a4c496 (base 14) to base 3
-101110202202211
Convert 361700 (base 9) to base 11.
139709
What is 6601a9 (base 11) in base 14?
1d637a
-245ce (base 16) to base 7
-1160143
What is 15235565 (base 7) in base 6?
51102152
Convert 22240422 (base 5) to base 4.
233330022
What is 10024012444 (base 5) in base 11?
5700183
-25603325 (base 8) to base 14
-a866c5
What is 103112013 (base 4) in base 11?
54596
1313032321 (base 4) to base 11
303a1a
-13037 (base 13) to base 11
-24499
535660 (base 9) to base 2
1001101111010001001
141824 (base 9) to base 8
251244
203129 (base 10) to base 2
110001100101111001
What is 451399 (base 10) in base 6?
13401451
Convert -11645 (base 9) to base 5.
-222232
What is -661736 (base 8) in base 10?
-222174
What is -386b50 (base 13) in base 7?
-14352435
-1305048 (base 9) to base 10
-712277
-24400245 (base 6) to base 7
-6416231
14345303 (base 6) to base 9
835663
Convert 1010002253 (base 6) to base 5.
10122430134
What is -4232022 (base 5) in base 2?
-10001010011100111
What is 203235135 (base 6) in base 4?
31123110203
Convert 1402234 (base 5) to base 9.
43014
Convert -1000010000100100011 (base 2) to base 14.
-708a7
22212433 (base 5) to base 9
326121
1023214312 (base 5) to base 2
1000010000001111111011
Convert 20220332022 (base 4) to base 11.
1307784
What is -e109 (base 16) in base 14?
-16dcd
What is -31322022 (base 4) in base 15?
-11d30
What is 223023232 (base 4) in base 9?
288561
202012220012 (base 3) to base 11
251aa0
3233220011 (base 4) to base 12
3b4005
Convert -3200302 (base 6) to base 12.
-76092
Convert -cc9760 (base 13) to base 12.
-1744b2a
What is -8a300 (base 12) in base 9?
-308760
What is 1303105 (base 7) in base 4?
221103001
213540 (base 9) to base 12
617b3
-a53d49 (base 16) to base 10
-10829129
What is 8a6e8 (base 15) in base 3?
211101000002
What is -2571336 (base 9) in base 11?
-87a707
Convert 124170 (base 12) to base 16.
489e4
Convert 11321322000 (base 4) to base 2.
101111001111010000000
What is -123967 (base 10) in base 13?
-4456c
3b75a (base 13) to base 3
12122102010
What is 11000000110000100110 (base 2) in base 8?
3006046
What is 5a8894 (base 13) in base 12?
882798
What is 30322302310 (base 4) in base 3?
20101001110201
-6153b (base 14) to base 7
-1664004
What is -202467 (base 9) in base 2?
-11101010010000101
Convert -4444200 (base 6) to base 9.
-371050
Convert 13523462 (base 7) to base 3.
2101100102222
Convert 75b25a (base 16) to base 7.
122363650
Convert 133435 (base 6) to base 11.
9415
Convert -77564 (base 8) to base 3.
-1122202110
-ac91e3 (base 15) to base 10
-8232063
What is -2403505 (base 13) in base 9?
-22867671
17ab1 (base 12) to base 8
103145
Convert 3430424102 (base 5) to base 16.
750aff
What is 10001000110111100001011 (base 2) in base 5?
2122004000
Convert -2760670 (base 10) to base 15.
-397e9a
-101001111011111111011110 (base 2) to base 15
-e7258a
-100001000101010100001 (base 2) to base 12
-443429
-429905 (base 10) to base 6
-13114145
-870877 (base 13) to base 16
-306589
677241 (base 11) to base 12
4400a5
-134692 (base 12) to base 11
-1a8683
402bd (base 15) to base 11
129682
-2791216 (base 11) to base 4
-102110303332
Convert -110103321230 (base 4) to base 12.
-19492b8
What is 1531345 (base 7) in base 13?
74416
What is dc2a (base 16) in base 5?
3300422
16216617 (base 8) to base 13
a10983
Convert -3670b (base 15) to base 16.
-2a68f
Convert | {
"pile_set_name": "DM Mathematics"
} |
value? (a) -2/9 (b) 14 (c) -5 (d) -0.5 (e) -706 (f) -0.08 (g) -6
b
Which is the sixth biggest value? (a) 0 (b) 2/9 (c) 0.4 (d) -2/13 (e) -4/5 (f) 96.377
e
What is the fourth biggest value in 5, 12, -28/3, 11/10?
-28/3
Which is the fourth smallest value? (a) -0.37 (b) 3 (c) 2.6 (d) -3 (e) -0.1
c
What is the biggest value in 1/517593, 2.66, -0.4?
2.66
What is the biggest value in 0.739, 2/49, 11, -0.1, 4, 2/5, 20?
20
What is the third smallest value in 2524, -16/5, 70?
2524
Which is the third smallest value? (a) 221 (b) 70 (c) 394 (d) 3
a
What is the fourth biggest value in -7, -8, 3.1811, 0?
-8
Which is the smallest value? (a) -2228595 (b) 2/5 (c) 0 (d) 1/6
a
Which is the second smallest value? (a) -3169 (b) -1.105 (c) -15 (d) 0
c
Which is the sixth biggest value? (a) 4 (b) 1456 (c) -2/3 (d) 0.1 (e) 0.12 (f) 2.3
c
What is the sixth biggest value in 1, -14, -0.4, -1, -2/245, -0.8?
-14
Which is the third smallest value? (a) 0 (b) 1/11 (c) -27831628
b
Which is the smallest value? (a) -32 (b) 8 (c) 0 (d) 1 (e) -1/5 (f) 27
a
What is the fourth biggest value in 4, -0.4, 1/2, -17609, -0.3?
-0.4
What is the second biggest value in -12, -46, -7/6?
-12
What is the biggest value in -327, -241085, 0.4?
0.4
What is the second biggest value in -18, -1/6, 46.61?
-1/6
What is the biggest value in 2890/7, -8276, -2/17?
2890/7
What is the second smallest value in 3.55, 5, 85170?
5
Which is the sixth smallest value? (a) -3 (b) -6 (c) 5 (d) 0.24 (e) 0.2 (f) 0.473 (g) -0.03
f
Which is the biggest value? (a) 110/9 (b) 0.021 (c) 2/3 (d) -0.1 (e) 234 (f) 5
e
Which is the third biggest value? (a) -2/18177 (b) -1/54 (c) 4
b
What is the fifth biggest value in 2/79, -1, 0.5, -4/5, 962, 168, 1/4?
2/79
Which is the third smallest value? (a) 24 (b) -0.125388 (c) 3
a
Which is the second smallest value? (a) -1/3 (b) -3748.9961 (c) 5 (d) 2/3
a
What is the second biggest value in 1, 68, 6, 4/5, 2/9, 1/3, -40/13?
6
What is the second smallest value in -3, -29746, -3/299, -5?
-5
Which is the biggest value? (a) 0.2315 (b) 1 (c) -5 (d) -0.24 (e) 2
e
What is the second biggest value in -4, 159346, -136?
-4
What is the fourth biggest value in 1/2, 1623, -1/3, -3.0225?
-3.0225
What is the smallest value in 0.2, -74, -2, -16, 2/5, -242, -4?
-242
Which is the second smallest value? (a) 1 (b) 290 (c) 38823 (d) 0.4 (e) -5
d
Which is the second biggest value? (a) -3/35 (b) -2 (c) -0.21 (d) 23.9 (e) -4 (f) -0.2
a
What is the second biggest value in -19, 0.149, 0, -5, -7, -0.5?
0
Which is the sixth biggest value? (a) 4/9 (b) 121/12 (c) -21 (d) 1/3 (e) -2/7 (f) 6
c
Which is the fifth smallest value? (a) -37 (b) 4 (c) -5 (d) 0.136634 (e) -1/4
b
What is the third smallest value in 0.141, -12/7, 5, 91/4?
5
What is the second biggest value in -0.2, -2/33, 1.5, 2/5, -3, 7, -3.5?
1.5
Which is the third biggest value? (a) -1/6 (b) 15.17165 (c) 0.31 (d) 2
c
What is the fourth smallest value in -1/4, 1269, -0.31, 0, 5, -0.3, 10?
0
What is the fourth smallest value in -16, 9/7, 1748/11, -3, 1/2?
9/7
Which is the second smallest value? (a) 0.3 (b) 257 (c) 4/3 (d) -1 (e) -0.5 (f) -2/7 (g) 4
e
Which is the fourth biggest value? (a) -2/15 (b) 47 (c) 273 (d) -0.06 (e) -10
a
Which is the smallest value? (a) 12/11 (b) -259 (c) 633
b
Which is the third smallest value? (a) -3594 (b) 1 (c) -1.2 (d) 2/3
d
What is the sixth biggest value in 1, 2/29, -2/13, -4, 2/9, 143265?
-4
Which is the seventh smallest value? (a) -0.3 (b) 1/9 (c) -5 (d) 0.3 (e) 4 (f) -1/7 (g) -76
e
Which is the fourth biggest value? (a) -1 (b) 0.2 (c) -196/13 (d) 6.9
c
What is the biggest value in 1, 4, 11/3764694?
4
Which is the smallest value? (a) -92 (b) 2 (c) -274/11 (d) 11/5 (e) -1 (f) 1
a
What is the second biggest value in 2/5, 8/5, -1.3, 2.1, -0.5, 0.05?
8/5
Which is the sixth biggest value? (a) 1 (b) 3/8 (c) 10 (d) 100 (e) -1 (f) -21
f
Which is the fourth smallest value? (a) -0.125 (b) -8 (c) 1/8 (d) -205 (e) -1 (f) -23
e
What is the third smallest value in -2/3, 60, 129980?
129980
What is the fifth biggest value in -5, 0.1, -3, -1/274, 0, -2/9?
-3
What is the sixth biggest value in -2/13, -3, -1/6, 1/2, 3, 947?
-3
What is the second smallest value in -4, -0.01, 0.3, 0.1, 13658/25, 0, 4?
-0.01
What is the second biggest value in -40, 151.67, 133?
133
Which is the second biggest value? (a) 1/3 (b) -29 (c) 5 (d) 18/7 (e) 5/4
d
What is the second biggest value in -63, 34, -149?
-63
Which is the biggest value? (a) -4/3 (b) -2 (c) -160269 (d) 0.03
d
What is the third smallest value in -70, 2, 1/5, -0.3, -1?
-0.3
Which is the second biggest value? (a) -10 (b) 1.48 (c) 11 (d) -354 (e) 1
b
What is the third biggest value in -3558, -2, 17114?
-3558
Which is the second biggest value? (a) -960 (b) 5 (c) -1/13 (d) 8 (e) -2/9 (f) -73
b
Which is the second smallest value? (a) 2390676 (b) -1 (c) 2/9 (d) 4
c
What is the fourth smallest value in 0.2, -0.8, 1, -3/214, 1/20?
0.2
Which is the fifth smallest value? (a) 0.12 (b) 1 (c) 1/23 (d) -8 (e) 4 (f) -1 (g) -3
a
What is the fourth smallest value in -0.3, -4, 481.01, 0.3?
481.01
What is the fourth biggest value in -8/29, 2/15, 2/197, 0.4?
-8/29
What is the second biggest value in 0.12, 11, -2/79, -21/4?
0.12
What is the third smallest value in -0.025, -1515, -1/21?
-0.025
Which is the fourth biggest value? (a) -2/9 (b) 9 (c) 5 (d) 6 (e) 0.09 (f) 3/4
f
Which is the third smallest value? (a) 973 (b) -0.2775 (c) -5 (d) -1 (e) 0.5
b
Which is the biggest value? (a) -11/48 (b) 3.1 (c) 5.29
c
Which is the seventh smallest value? (a) -1/254 (b) -2/53 (c) -3/5 (d) 1 (e) -5 (f) -1/5 (g) 2/15
d
Which is the second smallest value? (a) 11786638 (b) -2 (c) -1
c
Which is the sixth smallest value? (a) 84 (b) -1.5 (c) -0.106 (d) -4/7 (e) -0.5 (f) -5
a
What is the fifth smallest value in -11, -65, -0.4, -47.56, 4?
4
Which is the fourth biggest value? (a) 2/31 (b) -4 (c) 0.06 (d) -1571 (e) 4 (f) -1 (g) 0
g
What is the third biggest value in 1.3, 2/11, 295804?
2/11
What is the third biggest value in 3011, -5, 0, 3/4, 0.3, -6/37?
0.3
Which is the sixth biggest value? (a) 2 (b) 1 (c) -1926 (d) 2/7 (e) 0.3 (f) 310/7 (g) 3/7
d
Which is the fifth biggest value? (a) 0.3 (b) -1/3 (c) 0.1 (d) 2.551 (e) -2/9 (f) 1.7
e
What is the second biggest value in 3, 0.1, -3/5, 4, 38.085, -295/6, -0.3?
4
Which is the sixth biggest value? (a) 2/25 (b) 0.3 (c) -5 (d) 30948 (e) -4 (f) 5 (g) 4
e
Which is the third smallest value? (a) -1/4 (b) -6357259 (c) -2/23
c
Which is the fourth smallest value? (a) 4 (b) 1/27 (c) 5 (d) -0.03214
c
Which is the seventh biggest value? (a) -1/16 (b) -0.4 (c) 4/9 (d) 3215/4 (e) 4/5 (f) -1 (g) 1/2
f
Which is the fifth smallest value? (a) -5 (b) 66 (c) -3/5 (d) 1/137 (e) -0.1 (f) -1/4 (g) 0.5
d
What is the third biggest value in 8.7, 90037, -2, -3?
-2
What is the second biggest value in -4, -3, -1196.2, 0.0082?
-3
Which is the second biggest value? (a) -276272 (b) 8 (c) 8/5
c
What is the fifth smallest value in -3, -0.04, -277, -0.02, 0, 1?
0
What is the second biggest value in -3/4, 0, -3, -964, -1, -22?
-3/4
What is the third smallest value in -5, -3, -473684?
-3
What is the biggest value in -10481, -4, 39?
39
Which is the second biggest value? (a) 1.5 (b) 2/3597 (c) 1407/4
a
Which is the fourth smallest value? (a) 591790 (b) 0 (c) -0.04 (d) -7/4
a
Which is the fifth biggest value? (a) -1 (b) -0.16 (c) -25/3 (d) 7 (e) 0.36
c
What is the fifth biggest value in -15, -3, 34/5, 2/9, 13, 3?
-3
What is the third biggest value in 265736, 0.4, 1, 1/2, -4?
1/2
Which is the fourth biggest value? (a) 0.5124 (b) 55 (c) -6 (d) -6/11 (e) 2/5
d
Which is the second smallest value? (a) -0.7 (b) -5.06 (c) 9.62
a
What is the biggest value in -1, 2/145, 3, -13, 4/9, -3/16?
3
What is the third smallest value in 2651/6, 0, 168/31?
2651/6
What is the fifth smallest value in 0.63, -2, -0.68, -0.6, -2/7, -1/9?
-1/9
What is the biggest value in 6/7, 2791, 4, -0.06, 0.03?
2791
What is the fourth smallest value in 0, -31, -6.5, 0.094?
0.094
Which is the fourth sm | {
"pile_set_name": "DM Mathematics"
} |
der when (-126)/(-27)*(-5 - -11) is divided by q?
3
Suppose 9 = 2*m - 5. What is the remainder when 35*((22 + -29)*(-10)/7 + -9) is divided by m?
0
Let k = 68 + -55. Suppose 0 = -13*p + 221 + k. What is the remainder when 123 is divided by p?
15
Let l = -320 + 343. Calculate the remainder when 548 is divided by l.
19
Suppose 32 = -3*a + 386. Suppose 0 = -9*f + 11*f - a. What is the remainder when f is divided by 10?
9
Let b(c) = 2*c**3 - 20*c**2 + 5*c - 73. What is the remainder when 379 is divided by b(11)?
155
Suppose 1 = -8*l + 121. Suppose -x + 3*a + 6 = 0, -2*a = -4*x - 2 + 6. Suppose -w - 8 + l = x. What is the remainder when 13 is divided by w?
6
Suppose 0 = -228*n + 75*n + 126684. Calculate the remainder when n is divided by 20.
8
Let x = 79 + -379. Let j = x + 334. What is the remainder when 164 is divided by j?
28
Suppose -5*u - 2*h + 14031 = -7817, 13088 = 3*u - 4*h. Suppose 11*w = 373 + u. Calculate the remainder when w is divided by 24.
23
Suppose -575 = 4*v - 563, 5*d - 3075 = 5*v. What is the remainder when d is divided by 64?
36
Let r be 8/36 - 241*1/(-9). Suppose 31*p + w + 123 = 36*p, w + r = p. What is the remainder when 95 is divided by p?
23
Let y be (2/(-3))/(3*34/2295). What is the remainder when 13/(-65) + 32/y*-9 is divided by 12?
7
Suppose -4*p = 24, 293*d - 6 = 290*d - p. What is the remainder when 2113 is divided by d?
1
Suppose -3*g - j + 8799 = -8*j, 2959 = g + 2*j. What is the remainder when g is divided by 20?
7
Let r = -33 - -39. Calculate the remainder when (0 + 268)/2*3/r is divided by 17.
16
Let y = 927 - 923. Suppose g + 3*x = 6*x + 30, -5*g + 218 = 2*x. Suppose -80 = -y*c + 2*b, -3*c + 2*b + 16 = -g. Calculate the remainder when c is divided by 6.
4
Suppose -3*n = 2*n - 20. Suppose 0 = -0*f - 3*f - n*q + 101, 4*q = 20. Calculate the remainder when 105 is divided by f.
24
Suppose 2*r - 202 = -4*i, -9*i + 13*i = 5*r + 181. Calculate the remainder when 1155 is divided by i.
28
Suppose -2*a + 3*a = 1, 2*p = -2*a - 10. Let y be ((-2)/(-3))/(p/(-2601)). Suppose -7*u + 82 + y = 0. What is the remainder when u is divided by 9?
8
Suppose -73*o + 8403 - 5429 = -31555. Calculate the remainder when o is divided by 110.
33
Calculate the remainder when 220 + (-18)/90*5 is divided by 74.
71
Let n = -2023 - -2123. What is the remainder when 1206 is divided by n?
6
Let v(j) = j**3 + 7*j**2 - 23. Calculate the remainder when 41 is divided by v(-6).
2
Let w = 25032 - 24769. What is the remainder when 962 is divided by w?
173
Let t be -2 - (-2 - 1) - 104. Suppose 2*r + 140 = -2*b, -2*b + 40 + 39 = -r. Let s = r - t. What is the remainder when 59 is divided by s?
29
Let f = -14872 + 14887. Calculate the remainder when 333 is divided by f.
3
Let d be (9/6)/(12/32). Suppose 3*u + 312 = 3*z, -z + d*z = -u + 308. What is the remainder when z is divided by 55?
48
Suppose 20*n + 2*d = 24*n + 118, 0 = n + 2*d + 32. What is the remainder when (-588)/(-15) + (-2)/10 is divided by 4/20 - (1296/n)/4?
6
Suppose 5067 = 41*m - 222. What is the remainder when 509 is divided by m?
122
Let t(u) = u**2 + 10*u + 45. Let r(i) = -5*i + 19. Let m be r(0). Let b = m - 19. What is the remainder when t(b) is divided by 12?
9
Let n be 29/((5 - (-132)/(-27)) + 0). Let p = n - 242. Calculate the remainder when 111 is divided by p.
16
Suppose -16*h + 36 = -10*h. Let i(p) = -2*p**3 + 16*p**2 - 9*p + 9. Calculate the remainder when i(7) is divided by ((-20)/8)/(23/h + -4).
14
Let h(x) = -18*x - 32. Let o(d) = -37*d - 66. Let j(c) = 11*h(c) - 6*o(c). Suppose -27 = -u + 13. Calculate the remainder when j(3) is divided by u.
36
Suppose 92801 + 32998 = 183*j - 65802. What is the remainder when j is divided by 344?
15
Suppose 9 = -o - 3*a, 0*o = -4*o - 3*a - 9. Let s = -6017 + 6032. Suppose 3*h + r - s = o, 4*h - r - 20 = -5*r. What is the remainder when 11 is divided by h?
1
Let y = 236 - 198. Suppose 10*q - 20 = 5*q. Suppose -p - u = p - 29, -p = -q*u - 10. What is the remainder when y is divided by p?
10
Let o be 6/3 + (-1 - -4)/3. Let f(w) = w**o + 4 - 1 - 379*w**2 - 15*w + 384*w**2. What is the remainder when 48 is divided by f(-7)?
8
Let p(n) = -8*n**2 + 11*n + 161. Let w be p(-8). Let j = 466 + w. Calculate the remainder when 375 is divided by j.
24
Suppose 1211 + 1285 = 12*a. Let l = 222 - a. Calculate the remainder when 47 is divided by l.
5
Let d be 4/(-26) + (-804)/(-156). Suppose 27 = 2*w + a, 0 = 5*w - d*a - 28 - 17. What is the remainder when 31 is divided by w?
7
Calculate the remainder when 553/(-158)*958/(-7) is divided by 12.
11
Suppose 3*q = 3*b - 5*b + 627, -3*b = 3*q - 939. Calculate the remainder when b is divided by 33/(-44) + (-510)/(-8).
60
Let y(b) = -3 + 5 + 2 - b**2 - 3*b + 16. What is the remainder when 5 is divided by y(-6)?
1
Let g(a) = 26*a**2 - 4*a - 1. Suppose 0*z - d = -2*z + 12, 3*z = 4*d + 28. What is the remainder when g(z) is divided by 67?
64
Calculate the remainder when (-366)/18*-15 + (7 - 5)/2 is divided by 219.
87
Let n(g) = 398*g - 14. Let l be n(3). Suppose 39*p - l = 19*p. What is the remainder when p is divided by 20?
19
Suppose 0 = 15*b - 13*b - 22. Let t(x) = 17 + b + 5 + 2*x - x. Calculate the remainder when t(-17) is divided by 9.
7
Suppose -25330 - 17654 = -24*d + 22536. What is the remainder when d is divided by 161?
154
Suppose -2*i + 3*o + 1320 = 936, 16 = 2*o. What is the remainder when 4691 is divided by i?
203
Let f = -38 - -41. Let k be -4 - (f*-2 - 4). Suppose 0 = k*y - 57 - 87. Calculate the remainder when 69 is divided by y.
21
Suppose 140 = z - b + 2, 0 = 3*b + 12. Let f be z/(-2 - -2 - (-8)/(-4)). Let u = f - -118. What is the remainder when u is divided by 9?
6
Let r(z) be the third derivative of z**6/120 - 7*z**5/60 - z**4/12 - 10*z**3/3 - 5*z**2 - 11. Calculate the remainder when 79 is divided by r(8).
23
Suppose -248 = -11*m - 39. Calculate the remainder when 49 is divided by (1/9 - 420/135) + m.
1
Let w(j) = 4*j - 9 - 3*j**2 + 4*j**2 + 0*j - 14. Let m(l) = -l**2 - 3*l + 22. Let v(h) = 5*m(h) + 6*w(h). Calculate the remainder when v(-14) is divided by 22.
20
Let r be ((-36)/15)/6*25. Let n = r + 53. Let t = 14 - 1. Calculate the remainder when n is divided by t.
4
Let h(r) = 2*r**2 + 378*r + 2208. Suppose 0 = -2*k - b + 253, 5*b - 226 = -4*k + 289. What is the remainder when k is divided by h(-183)?
5
Let k(v) = -27*v**2 + 81*v - 135. Let z(s) = 5*s**2 - 16*s + 27. Let c(h) = -2*k(h) - 11*z(h). Calculate the remainder when 232 is divided by c(10).
11
Calculate the remainder when -3054*(-2)/12 - -14 is divided by 14.
5
Calculate the remainder when ((-30)/(-12))/(105/303870) is divided by 94.
91
Let z be 2/(-10)*(-10)/(-2) + 832. Calculate the remainder when (z/(-4))/(-9 + 66/8) is divided by 20.
17
Let g = 84 + -59. Suppose 29*x = g*x + 92. Calculate the remainder when x is divided by 16.
7
Let g = 171 - 199. Calculate the remainder when 293 is divided by (5 + g/7)*21.
20
Let a = -2460 - -2473. What is the remainder when (6/(-9)*41)/((-8)/60) is divided by a?
10
Suppose 0 = 4*m + 2*u - 3648, -3*m + 4*u + 3764 = 1006. Calculate the remainder when m is divided by 45.
14
Let l(f) = 6*f + 94. Let r be l(-11). Suppose -6*k + 20 = -2*k - 3*i, 0 = 3*k + i - r. What is the remainder when 87 is divided by k?
7
Let s(l) = -l**3 + 11*l**2 - 33*l + 140. What is the remainder when s(7) is divided by 4/((-2)/(-23)*1)?
13
Let t(d) = 2*d**2 + 8*d + 3. What is the remainder when t(-6) is divided by (30/8)/(10 - (-2175)/(-232))?
3
Let r(w) = 5*w + 328. Calculate the remainder when r(-27) is divided by 92.
9
Suppose 0 = 5*l + 3*q - 9970, 5*l - 100*q - 9965 = -104*q. Calculate the remainder when l is divided by 246.
29
Let h(b) = -114*b - 1831. What is the remainder when h(-28) is divided by 26?
9
Let f = 119 + -70. Suppose 2*i - 91 + 473 = 4*n, 400 = 4*n + 4*i. What is the remainder when n is divided by f?
48
Let f(b) be the second derivative of b**4/12 - b**2/2 - 2*b - 55. What is the remainder when 139 is divided by f(4)?
4
Let a = -148 - -213. Suppose 932 = -58*x + 12010. Calculate the remainder when x is divided by a.
61
What is the remainder when (-87)/116 + (-1435)/(-4) is divided by 109?
31
Let r = -937 + 635. Let d = r + 351. What is the remainder when d is divided by 9?
4
Let f(c) = -6*c + 16 - 6*c - | {
"pile_set_name": "DM Mathematics"
} |
+ 2 - 19*c. What is j(-2)?
-4
Suppose -7*u + 99 = 211 - 91. Let l(r) be the first derivative of -4*r**2 + r - 1. What is l(u)?
25
Let q(g) = 2*g + 2. Let f be q(-3). Let j(m) = -m**2 + 2. Let c(o) = 3*o**2 - 2*o**2 - 169 - 163 + 329. Let h(z) = f*j(z) - 3*c(z). Calculate h(-2).
5
Let z(a) = a**3 - 6*a**2 + a - 4. Suppose 0 = 3*t - 4*t + 4*n - 10, -4*t = -3*n - 25. Suppose -q = 13 - 29. Let f = q - t. What is z(f)?
2
Suppose -4*h + i + 21 = 0, -h - 2*h + 3*i + 18 = 0. Let j(p) be the second derivative of -2*p**3/3 + 2*p**2 - 20*p - 2. Calculate j(h).
-16
Let l = -10 + 4. Let f(c) be the first derivative of -c**3/3 - 4*c**2 - 8*c - 776. Give f(l).
4
Let n(d) = 4*d - 1. Let a(p) = -p - 13. Let x be a(-26). Give n(x).
51
Let v(m) = m**3 + 3*m**2 - m + 2. Suppose -3*y + 0*y - 2*f = -42, -3*y - f = -39. Let t = -20 + y. Let h(i) = -i**2 - 9*i - 11. Let x be h(t). What is v(x)?
5
Let n(d) = -320*d**2 + 2 + 6*d - d + 319*d**2. Determine n(5).
2
Let q(z) = z**2 - 5*z - 1. Let s be q(4). Let v(t) be the first derivative of -t**2/2 - 3*t - 188. Give v(s).
2
Let y be 6 + 15/(-10)*4/3. Let x(q) = q**3 + 5*q - 3 - y*q**2 + q**2 + 2*q**2 - 3*q**2. Determine x(4).
17
Let s = 204 - 172. Let q be (9/6)/(12/s). Let h(g) = -2*g + 4. Calculate h(q).
-4
Let x(b) = -114*b + 108. Let c(u) = -70*u + 65. Let m(q) = 13*c(q) - 8*x(q). Calculate m(9).
-1
Let y(c) be the first derivative of -c**3/3 + c**2 + 119. Suppose -2*p + 14 = t + 5, -3*t + 25 = 5*p. Determine y(t).
-15
Suppose 4*y = 77*f - 74*f + 38, 3*y - f - 21 = 0. Let t(j) = 11*j**2 - 8*j - 3. Let k(q) = 5*q**2 - 4*q - 1. Let h(w) = 9*k(w) - 4*t(w). Give h(y).
8
Let y(p) be the third derivative of -3*p**2 + 1/24*p**4 + 10 + 0*p + 0*p**3. Determine y(3).
3
Suppose -3*f = -4*h + 8*h - 6, 5*h + 15 = 0. Let w(y) = -y**2 + 3*y + 9*y - f - 3*y - 4*y. Determine w(4).
-2
Let s be 0 + 0 + 2*-2. Let c(t) = -t**3 + t**2 + 2*t + 1. Let b(k) = -5*k**3 + 9*k**2 + 9*k + 9. Let f(o) = -b(o) + 6*c(o). Determine f(s).
1
Suppose -108*j + 113*j + 70 = 0. Let g(o) = -3*o - 11. What is g(j)?
31
Let d(k) = k**3 + 7*k**2 + 9*k + 12. Let f be d(-6). Let h(u) = -u**2 - u - 5. Let m(i) = 4 - 1 - 2. Let t(q) = f*m(q) - h(q). What is t(-2)?
1
Suppose 225 = 21*o + 183. Let b(q) be the third derivative of 0*q + 0 + 1/24*q**4 - 3*q**o - 1/6*q**3 + 1/4*q**5. Give b(1).
15
Let n(f) = -5*f**3 + 4*f**2 - f + 9. Let l(d) = 2*d**3 + d**2 - d + 2. Let c(k) = 2*l(k) + n(k). Give c(6).
-5
Let k(u) = 93 - 123 + 4*u + 76 - 2*u. Calculate k(-21).
4
Let n(x) = -13*x - 1. Let b = -98 + 215. Let c = b + -118. Determine n(c).
12
Suppose 5*h = -5, -2*x = 6*h - 5*h + 131. Let u = x - -65. Let o(w) = -w**2 - w - 10. What is o(u)?
-10
Suppose 2*d - 8 = -2*d, d + 8 = 5*n. Let g(i) = -i**3 + 10 - 14*i**2 - 25 + 0 - 2*i + 4*i**n. Determine g(-10).
5
Let n(c) = -2*c**2 - 7 + 6 - 4*c**3 - 334*c + 335*c. Determine n(-2).
21
Let o(t) = -t**3 + 10*t**2 - 13*t + 1. Suppose -3*w = -0*m - 3*m - 33, 0 = -5*w + m + 47. Give o(w).
-35
Let y(c) = -3*c**3 - 4*c**2 - 4*c + 53. Let n(d) = d**3 + d**2 + d - 18. Let i(z) = -7*n(z) - 2*y(z). What is i(0)?
20
Let l(z) = 12*z - 9 - 13*z + 0*z. Give l(-9).
0
Suppose -4*j - 2 = -3*k, -4*k + 4*j = 2*j - 16. Let x = 12 + -1. Let w(h) = -6*h + 26. Let t(i) = 2*i - 9. Let r(n) = x*t(n) + 4*w(n). Calculate r(k).
-7
Let s(a) be the first derivative of -9*a**2/2 + 7*a - 294. Calculate s(4).
-29
Suppose 6*x + 24 = -6. Let s(n) = -6 - 9 + 4 - 3*n + 2*n. Give s(x).
-6
Let n(x) = 2*x**2 + 10*x + 5. Suppose 5*a - o = -20, 3*o + o = -4*a - 16. What is n(a)?
-3
Let l be 17/51*0*(-2)/(-4). Let c(r) = -r**2 + r + 6. Give c(l).
6
Let w(x) = -x - 19. Suppose 12 = -2*k + 5*n, -3*n + 6 = 48*k - 49*k. What is w(k)?
-13
Let u(k) be the third derivative of -k**7/2520 - k**6/240 + k**5/40 + k**4/12 - 8*k**2. Let v(m) be the second derivative of u(m). Give v(2).
-7
Let z be 15/(4 + -1 + -4). Let m be 30/z - (1 + -4). Let w(h) = 2*h - 6*h + 0 - 4*h**2 + m - 4. Calculate w(-2).
-11
Let z be -5 + 7/5 - 4/10. Let s(u) = 2*u**2 + 3*u - 5. Determine s(z).
15
Let p(w) be the third derivative of -w**6/120 + w**5/30 + 40*w**2 + 18. Let n = 3 + -2. Calculate p(n).
1
Let y(g) = g - 11. Suppose -4*b + 4 = -3*b. Suppose -2*p + 14 = b*f - f, -2*p + 8 = 2*f. Give y(f).
-5
Let n = 44 + -39. Let j(q) = 1 - 2*q + 1 + n*q**2 - 6*q**2. Give j(-4).
-6
Let r(q) = q**2 - 13*q - 9. Let d = -124 + 138. Calculate r(d).
5
Let o(r) = -r**3 - 14*r**2 + r - 4. Let h(t) = -10*t**2 - 3. Let z(c) = -3*h(c) + 2*o(c). Suppose -1 = 3*p - 2*p. Give z(p).
3
Let c(j) = j + 28 + 0*j - 30. What is c(15)?
13
Suppose 4*f - 1 = -4*v - 17, 0 = 3*v + 4*f + 9. Let x = 7 + v. Let h(y) be the second derivative of y**3/6 - 9*y**2/2 + 8*y. Determine h(x).
-9
Let y be 6 + -5 + 0 + 1. Let p(i) = 1. Suppose 0 = k - 1. Let h(c) = 3*c - 12. Let z(m) = k*h(m) + y*p(m). Calculate z(7).
11
Let w(r) = 3*r + 6 - 4 + 8909*r**2 - 8915*r**2 + r**3. Calculate w(5).
-8
Let d(b) = b**3 - 5*b**2 + 6*b - 2. Suppose 6*g + 5*k = 2*g, -k = -g. Suppose -2*y + 3*y - 12 = g. Suppose -5*z + 8 = -y. Calculate d(z).
6
Let z(r) be the second derivative of r**3/6 - 4*r**2 + r. Let s = -22 + 29. Determine z(s).
-1
Let x = 26 - 30. Let d(g) be the third derivative of 2*g**2 + 1/6*g**3 + 1/20*g**5 - 1/8*g**4 + 0*g + 1/120*g**6 + 0. Determine d(x).
-3
Let f(b) = -b**3 + 3*b**2 - 2*b + 2. Suppose 90 = -4*z - z. Let p be -2 + z/(-3) - -2. Let x be (12/10)/(p/15). Determine f(x).
-4
Let w(d) = 11*d**2 - 17*d - 7. Let z(i) = -8*i**2 + 11*i + 5. Let r(q) = 5*w(q) + 7*z(q). Calculate r(-7).
7
Let o(n) = -n**2 - 2*n + 7. Suppose 58 = -3*w - l + 43, 2*l - 5 = w. Calculate o(w).
-8
Let j(y) = -2*y**2 - 8*y + 5. Suppose -5*p = 2*q + 31, -24 = -5*p + 8*p + 3*q. Calculate j(p).
-5
Let a be (-14)/(4/(-22) - 48/99). Let g = a - 19. Let m(f) = f**2 + f + 1. Calculate m(g).
7
Suppose a + 332 = 320. Let y(l) = -l - 3. Calculate y(a).
9
Let r(y) be the third derivative of y**6/120 - y**5/10 + 5*y**4/24 - 2*y**3/3 - 848*y**2. Suppose -5*s + 15 = 40. Let a = 0 - s. Determine r(a).
-4
Let w(i) be the third derivative of -i**6/120 + i**5/12 - 7*i**4/24 + 7*i**3/3 - 9*i**2 + 11*i. What is w(4)?
2
Let a(l) = -l**3 - 8*l**2 - 14*l - 2. Let w be a(-6). Let z(j) = -w*j + 1 + 0*j + 9*j + j**2. Calculate z(0).
1
Let n(q) = 8*q**2 + q - 1. Suppose 2*l = 2*s - 6, -4*s - 6 = 5*l - 3*l. Let k(u) = -2*u**2 - 5*u + 4. Let j be k(l). What is n(j)?
8
Let d(r) = -4*r**3 + 10*r**2 + 8. Let k(j) = j**3 - j**2 - j - 2. Let t(z) = d(z) + 5*k(z). Calculate t(-6).
-8
Let a(m) = -3*m**2 - m - 2. Let n be a(-1). Let i(q) be the first derivative of q**2 - 4*q**2 + 4*q**2 - 4. Determine i(n).
-8
Let l(u) = u**3 - 5*u**2 + u + 3. Let t(x) = x**3 - 9*x**2 - 10*x + 100. Let p be t(9). Let m = 3 + -1. Let j be m + 4/p*5. Calculate l(j).
-9
Let t(q) = 399*q + 409*q + 1 - 1212*q + 0 + 402*q. Determine t(4).
-7
Let x(m) be the first derivative of -m**4/4 - 4*m**3/3 + 3*m**2 + 2*m + 20. Calculate x(-5).
-3
Suppose 38*j = 39*j - 13. Let p(h) = -h**3 + 14*h**2 - 13*h + 5. Calculate p(j).
5
Suppose 5*n = -w - 4, -3*n + 5*w = w - 16. Let p(i) = -2*i**3 + 2*i**2 - i - 3. Calculate p(n).
-3
Let o(b) = -6*b. Let k be o(-1). Let s(t) = -20*t**2 + t - 4*t + 6*t**2 + 15*t**2 + 9 - 6*t. What is s(k)?
-9
Let y = 359 + -360. Let s(j) be the third derivative of j**6/720 + j**5/120 + j**4/12 - j**2. Let r(c) be the second derivative of s(c). Give r(y).
0
Suppose 0 = 4*t + 2*u + 12, 2*t + 5*u + 0 = -14. Let m(h) be the first derivative of 2*h**3/3 + h**2 + 51. Determine m(t).
4
Let o(p) be the second derivative of -p**5/20 - p**4/3 + 3*p**2/2 - p. Let i(v) = -v**2 - 7*v + 40. Let z be i(-11). Determine o(z).
3
Let w(a) = -2*a**3 + 2*a**2 + a + 1. Let q be -1 - -4 - (-1 - -2). Suppose -5 = -6*z + 25. Suppose 0 = 5*m - 4*m + z*o - q, -4*m + 2*o + 8 = 0. Determine w(m).
-5
Suppose 0*z + 3*z = 6. Let f(c) = 2 + 20*c - 1 - 20*c - 2*c**z. Give f(1).
-1
Let g(a) = a**3 + 2*a**2 - 5*a - 4. Let h be g(-3). Let b(v) = 0 - 2065*v + 2069*v - 3. Give b(h).
5
Let z(k) = -k - 2. Let r(x) = 8*x. Let c be ((-8)/12)/(4/(-6)). Let u be r(c). Let d be -2 + 0 + (u - 1). Calculate z(d).
-7
Let d(m) = m. Let o(r) = 6*r. Let p(g) = -7*g + 1. Let c(f) = -6*o(f) - 5*p(f). Let h be c(-9). Suppose -h*a = 3*t - 22 + 7, 9 = 3*a. Give d(t).
| {
"pile_set_name": "DM Mathematics"
} |
t q = g + v. Is q prime?
False
Let n be (-685)/(-10) - (-2)/(-4). Is n/8 - 3/(-2) a composite number?
True
Let g = 87 - -39. Suppose 72 = 3*m - g. Suppose -2*y - y - 29 = -2*c, 0 = 5*c - y - m. Is c a prime number?
True
Let x = -11 - -13. Suppose x*p - 276 = -2*p. Is p a prime number?
False
Let k = 7 - 5. Suppose -5*j = -k*j - 171. Let c = j - 23. Is c composite?
True
Let j = 1 - -1. Is 74*(3/j - 1) a composite number?
False
Let x(v) = 7*v**2 - 1. Let n(o) = 15*o**2 + o - 1. Let q(k) = -4*n(k) + 9*x(k). Let h be (-4)/14 - (-120)/(-21). Is q(h) prime?
True
Suppose -4*h = -0*h - 276. Let j = -32 + h. Is j composite?
False
Let w be 2/5 + (-52)/(-20). Suppose -5*d = 2*r - 0*d - 6, 3*r - 9 = -w*d. Suppose 4*c = 3*g + 107, 4*g = r*c - 2*c - 43. Is c a composite number?
False
Suppose 273 + 918 = 3*s. Is s composite?
False
Let f = 13 - 8. Suppose -f*w = 5*y - 10 - 120, 5*w = -4*y + 105. Is y composite?
True
Let y(c) be the second derivative of 131*c**4/12 + c**3/6 - c**2/2 - 10*c. Is y(1) prime?
True
Let v be 6/3*6219/6. Suppose -2*z = z - v. Is z composite?
False
Suppose 3*t - 7*t + 2253 = 5*g, -4*t + 1355 = 3*g. Is g a composite number?
False
Let t(q) = 7*q - 2. Let p(m) = m**2 - m. Let o be p(1). Suppose o = -3*b + 3*u - 0*u + 6, 3*b + 4*u = 13. Is t(b) prime?
True
Suppose -q - 1 = 5. Let t(o) = 3 + 1 + 9*o + o**3 - o + 8*o**2 - 2. Is t(q) a prime number?
False
Let i be 2/(6/(-3))*-3. Let m(g) = 4*g**2 - 2*g + 1. Is m(i) composite?
False
Let k(y) = -y - 5. Let t be k(-5). Suppose 5*a - 195 = -t*a. Is a a composite number?
True
Suppose 0 = 3*d - 14 + 2. Let i be (10/8)/(1/d). Suppose 4*p + 2*q - 56 = q, 0 = i*q. Is p prime?
False
Suppose -3*k = 5*b - 8056 + 1242, 4*b = -k + 5447. Is b a prime number?
True
Suppose 8*m + 5 = 3*m. Let t(n) = -2 - 6*n**3 - 34*n**3 + 1. Is t(m) a composite number?
True
Suppose -h = 2 - 8. Let k(f) = 4*f**2 - 3*f + 15. Is k(h) a prime number?
False
Let i be ((-224)/(-1))/2 - 0. Suppose 2*r + 2*u - 4*u = i, -121 = -2*r + 5*u. Is r a prime number?
True
Let r = -20 + 87. Is r prime?
True
Let m be (40/25)/(2/5). Suppose -m*y - 7 + 19 = 0. Is y a prime number?
True
Let f(m) = -2*m**2 - 1. Suppose -1 = -3*z - o - 0, 4*z + 12 = -4*o. Let r be f(z). Is (-11)/((-6)/r + -1) composite?
True
Let w(n) = -n + 14. Let b be w(7). Let t = b + -4. Suppose -q + t*q - 26 = 0. Is q a prime number?
True
Suppose 108 = -3*g - 3*a - a, -g = -3*a + 49. Let n = g - 66. Is (n/6)/((-4)/12) a prime number?
True
Suppose 5*i - 5697 - 8238 = 0. Is i composite?
True
Suppose -2 = y + y. Let s(v) = 4*v + 0 - 25*v + 1. Is s(y) a prime number?
False
Let r be (-3)/12*-2*-2. Let y = 17 - r. Is (-4)/y - (-1426)/18 a prime number?
True
Suppose 2*y - 5*d = 158, 0*y - 2*d - 81 = -y. Is y a composite number?
False
Let a = -5 + 11. Let i be ((-74)/a)/(3/(-9)). Let p = i + -23. Is p a composite number?
True
Let b(p) = 21*p + 11. Is b(16) a composite number?
False
Suppose -4*m + 3*q = -7, -4*m + 2*m + 3*q - 1 = 0. Suppose 3*k - m*k = 0. Is (9 + 2 - k)*1 a prime number?
True
Suppose -488 - 384 = -4*c - 4*d, -219 = -c - 2*d. Is c a prime number?
False
Suppose -3*x + 5905 = a, 0 = 3*x + 3*a - a - 5903. Is x composite?
True
Is -356*4/(16/(-7)) composite?
True
Let y(r) = r**3 + 10*r**2 - 2*r + 1. Let m be 4/18*-3*-3. Let v be 5/m*-1*4. Is y(v) composite?
True
Suppose 3*z - 15 - 3 = 0. Let j = 9 - z. Suppose -2*u - 25 = -4*c - j*u, 13 = c - 2*u. Is c prime?
True
Let g be 9 - 0/(-1) - -1. Is 3/5 + 224/g composite?
False
Is 1112/3 - (-4)/12 prime?
False
Suppose -3*p + 11 = -o + 1, -2*o + 30 = 4*p. Suppose 201 = v + 2*v - 5*m, -v + o*m = -67. Is v a composite number?
False
Is 475/9 + 2/9 composite?
False
Let h be 0 - (-12)/((-3)/(-1)). Suppose 27 - 211 = -h*c. Is c composite?
True
Suppose 28 = -0*f + f. Is (-4)/(-14) - (-3548)/f composite?
False
Let s(g) = 10*g**2 - 2*g**3 - 3*g + g**3 - 8 - 4*g. Let a(k) = 8*k**3 + k**2. Let c be a(1). Is s(c) a prime number?
False
Let c be (-1*(0 + 1))/(-1). Suppose -2*m = -0 + 4. Is c/m*-2 + 36 composite?
False
Let u(o) = -o**3 - 5*o**2 - 2*o + 9. Let q be u(-4). Let f = 21 + -15. Let m = f + q. Is m a composite number?
False
Let t = -1 + -4. Let p(x) = -9*x + 1. Is p(t) a prime number?
False
Let q = 12 - 7. Suppose 0 = 5*i - 5 - q. Suppose 215 = -i*z + 7*z. Is z a prime number?
True
Is 2/8 - 918/(-8) a prime number?
False
Let x = 1 - 7. Let c = x + 117. Suppose c = -2*q + 365. Is q a prime number?
True
Let z(f) = 19*f + 1. Let m be 1/(-3)*(-6)/1. Suppose 0 = o + m - 4. Is z(o) composite?
True
Let h = 1 + -2. Let k(w) = -w - 1. Let a be k(6). Is h/2 + a/(-2) a prime number?
True
Let v(x) = x - 3. Let w be v(3). Suppose 6*p - p - 55 = w. Is p a composite number?
False
Suppose 12 = -3*b + 4*b. Suppose -b = -k - 3*k. Is (k/4)/(2/248) prime?
False
Let f(z) = z**3 + 7*z**2 + 3. Let n(r) = r**2 - 7*r - 1. Let c be n(6). Let b be f(c). Suppose 206 = 3*a + 5*d + 24, -5*a + 360 = -b*d. Is a a composite number?
True
Suppose -11 = -5*h + 9. Let r = -3 + 23. Suppose -o + 6 = o + 2*m, -h*o = 2*m - r. Is o a prime number?
True
Suppose s + 0 = -6. Let n = 2 + s. Is (-80)/(-6) + n/(-6) a composite number?
True
Suppose 0 = -5*r - 4*i + 399 + 1075, -3*r - i = -890. Is r prime?
False
Suppose 3*b - 2 = b. Let w = b + -1. Suppose 0 = 2*l + 2*l - 3*n - 357, w = -5*l + n + 460. Is l prime?
False
Let w be (-54)/21*28/6. Is (-2279)/(-9) - w/(-54) a prime number?
False
Is ((-5)/(-1) - 1) + 5659 a prime number?
False
Suppose 361 + 67 = 2*n. Is n a prime number?
False
Suppose 0 = -13*c + 7*c + 8634. Is c a prime number?
True
Suppose 8 = n - r, -4*n + r + 3 = -17. Let j = 0 + n. Suppose 2*k = -j*m + 496, 0 = 6*m - 3*m + 5*k - 379. Is m composite?
True
Let d(x) = -x - 1. Let w be d(-3). Suppose 0 = -m + 178 - 44. Suppose -m + 40 = -w*h. Is h a composite number?
False
Suppose -11 = -5*x + 3*f + 2, -5*x - 4*f + 6 = 0. Suppose n + 116 = 2*l, -2*l = -7*l - x*n + 299. Is l prime?
True
Suppose -h = -0*h - 19. Let d be (128/(-12))/(1*1/(-3)). Let o = d - h. Is o a prime number?
True
Suppose 5*o - 496 = 4*h, 2*o + 2*h = -3*h + 205. Suppose 5*r - o - 75 = 0. Is r prime?
False
Suppose -5*j + 0*o + 3*o + 5990 = 0, -4*j + 4775 = o. Is j a prime number?
False
Let k(d) = -11*d**3 - d**2 + 3*d - 3. Is k(-4) a composite number?
False
Suppose -3*g = -6, z - 2*z + 572 = -4*g. Let q = z + -395. Is q composite?
True
Let p = 52 + 75. Is p prime?
True
Let u be (2032 - -2) + -1 + -1. Is (u/24)/((-4)/(-6)) a composite number?
False
Let s(w) = 2*w**2 - 16*w + 25. Is s(11) composite?
True
Suppose -6*y + y = -10. Suppose 4*u - 71 = -5*h, -u + y*u = 5*h + 24. Is u prime?
True
Let v = -410 + 580. Suppose 0 = -5*i + 925 + v. Is i composite?
True
Is 3 + -1 + (-398)/(-2) a prime number?
False
Suppose 2*h = -2*h - 20. Let l = h + 15. Is l composite?
True
Suppose 5*o + 247 = 2*w, 4*o = 4*w + w - 643. Is w a prime number?
True
Let j = -39 - -74. Is j composite?
True
Let p = -18 - -13. Let h(d) = 21*d**2 - d + 6. Let i(b) = 32*b**2 - 2*b + 9. Let u(f) = p*i(f) + 8*h(f). Is u(-2) a composite number?
False
Let v be ((-520)/(-25))/((-1)/5). Let p = -69 - v. Is p prime?
False
Let q be 9/((-6)/2) + -1. Let p(d) = -18*d - 1. Is p(q) composite?
False
Suppose 3*n - n = 4. Suppose q - 5*q = -3*c + 247, n*c - 166 = 2*q. Is c a composite number?
True
Suppose 10 = -3*m + 25. Suppose -2*r - 175 = -m*u - 0*r, 4*r - 79 = -3*u. Is u composite?
True
Suppose -4*s + 6 = -s. Let p be 0 - s - 2*-2. Suppose -2 = -p*f + 6, 68 = 4*h - 2*f. Is h a composite number?
False
Suppose -8*k + 3*k + 387 = -3*x, 5*k - 355 = -5*x. Let b = k - 53. Suppose -3*g + g + b = 0. Is g prime?
True
Suppose -5*a + 1420 = -a. Is a prime?
False
Let r(u) = 20*u + 9. Is r(4) a composite number?
False
Suppose 7 = 3*j - 2. Suppose -p + j*p = 74. Is p a prime number?
True
Let l be 1*-2 + -2 + 4. Suppose l = -w + 2*w + 9. Is 1 - 3/(w/60) composite?
True
Let n(f) = -f**3 - 6*f**2 + 4*f + 4. Let g = -3 + -2. Let t be n(g). Let d = 74 + t. Is d a prime number?
False
Is 2/(-4 - 90/(-21)) prime?
True
Suppose 4*x + 0*x = 8. Suppose -5*z = -x - 63. Is z composite?
False
Let d be ((4 - 2)*-1)/(-1). Suppose 86 = 2*p + q, -p - 9 = -d*q - 57. Suppose -x + 41 = -p. Is x a composite number?
True
Suppose c + 6163 = 5*a + 795, -2*a = -c - 2149. Is a composite?
True
Sup | {
"pile_set_name": "DM Mathematics"
} |
2*z = 5*z + 49, 4*z = -12. List the prime factors of r(y).
5
Let v(s) = -s**3 + 7*s**2 - 6*s + 3. Let b be v(6). Suppose 0 = 2*o - b*o. Suppose o = 2*x - 6*x + 40. List the prime factors of x.
2, 5
Suppose -2*n = -3*n + 3*t - 3, 17 = 3*n + 4*t. Suppose -68 = -n*i + 22. What are the prime factors of i?
2, 3, 5
Suppose -d = -10 - 2. Let r = d - 3. What are the prime factors of r?
3
Let h(j) = j**2 + j - 2. Let n be h(-3). Let x be 14/(-10) - n/(-10). Let c = x + 5. What are the prime factors of c?
2
Let i(u) = -u**3 - 6*u**2 - 7*u - 2. Let v be i(-5). Let s = v + -5. List the prime factors of (-1)/3 + 34/s.
11
Suppose -3*c - 5 = -8*c, -4*c + 22 = 2*l. Let p(z) = -2*z**2 + 9*z + 11. Let d(m) = -m**2 + m. Let f(s) = -d(s) + p(s). List the prime factors of f(l).
2
Suppose 3*j = -0*j - 15. What are the prime factors of j/(2*(-2)/4)?
5
Let a = 0 - 1. List the prime factors of 25*1 - 0/a.
5
Let r(n) = -14*n + 2. List the prime factors of r(-6).
2, 43
Let s(o) = -3*o - 10. Let m(p) = 2*p + 9. Let w(q) = -4*m(q) - 3*s(q). What are the prime factors of w(10)?
2
Let z = 3 - 44. Let a = z + 57. List the prime factors of a.
2
Let c(p) = 5*p - 28. What are the prime factors of c(7)?
7
Suppose -3*p = -0*p + 48. Let n = p - -22. Suppose -n*i - 27 = -5*w - 2*i, -4*i - 21 = -3*w. What are the prime factors of w?
3
Let y = -15 + 28. Let a = y - -1. List the prime factors of a.
2, 7
Let w = -2 + -2. Let u(r) be the second derivative of r**4/12 + r**3/2 + 5*r**2/2 - 2*r. What are the prime factors of u(w)?
3
Let v be (-25)/(-15) + 1/3. Suppose v*k = -2*k + 52. List the prime factors of k.
13
Let n(f) be the third derivative of f**5/30 + f**4/8 - 5*f**3/6 - 4*f**2. What are the prime factors of n(-4)?
3, 5
Suppose 144*c = 142*c + 480. What are the prime factors of c?
2, 3, 5
Let z(j) = j**3 + 3*j**2 + 2*j + 239. List the prime factors of z(0).
239
Let j(l) = l**3 + 3*l**2 + 2*l + 3. Let u be j(-3). Let d be 2*1 - (-3)/u. Suppose -y = -3*t + 36, -4*y + d = -4*t + 57. List the prime factors of t.
11
Let m be (-7)/(-3) - 3/9. Suppose 5*l = m*h - 22, -3*h + 11 = -2*l - 0. Let s = 6 + l. What are the prime factors of s?
2
Suppose 0 = 2*j - r - 13, -4*j = 3*r - 35 + 14. What are the prime factors of j?
2, 3
Let g(y) = -y**3 + 6*y**2 + 10*y - 7. Suppose 0 = -0*k + 2*k - 14. What are the prime factors of g(k)?
2, 7
Let s(j) = j + 19. Let m(d) = -d**2 + 6*d + 7. Let r(l) = l + 1. Let y be r(6). Let t be m(y). List the prime factors of s(t).
19
Let l be (14 + 0)*1/2. Let a = 1 + l. List the prime factors of a.
2
Let x = 12 - 8. Suppose -x*l - 8 = -5*l. What are the prime factors of l?
2
Let n(z) be the third derivative of z**6/120 - 3*z**5/20 + z**4/24 + 11*z**3/6 - 4*z**2. Let o be n(9). What are the prime factors of o/50 + (-58)/(-5)?
2, 3
Let o = -32 - -65. What are the prime factors of o?
3, 11
Let x(y) = y**2 - 6*y - 9. What are the prime factors of x(8)?
7
Let q be (0 + -4)*(-5)/(-10). Let l(y) = -6*y**2 - 2*y - 1. Let o(n) = 3*n**2 + n. Let v(r) = 2*l(r) + 5*o(r). What are the prime factors of v(q)?
2
Let o be ((-21)/(-12) - 1)*28. Let y = o - 12. List the prime factors of y.
3
Let f(p) = -27*p - 87. List the prime factors of f(-11).
2, 3, 5, 7
Let t(v) = v**3 + 8*v**2 + 6*v. Let s be (-5)/(-15) + 8/(-6). Let d(c) = -7*c**2 + c + 1. Let i be d(s). List the prime factors of t(i).
7
Let f = -6 - -1. What are the prime factors of 2/f - 67/(-5)?
13
Let c be ((-1)/2)/(2/(-8)). List the prime factors of c/((-2)/2)*-4.
2
Let z(j) = -j**3 + 11*j**2 - 3*j + 7. What are the prime factors of z(5)?
2, 71
Let r = 4 - -2. Let c(w) = w**2 - 2*w + 4. Let p be c(r). Let s = p + -17. What are the prime factors of s?
11
Let d(m) = m**2 + 3*m - 2. Let v be d(-3). Let q be 0 - v/4*4. Suppose -q*y + 10 = -y. List the prime factors of y.
2, 5
Let k(y) = y**2 + 16*y - 51. List the prime factors of k(14).
3, 41
Let u = -23 - -51. What are the prime factors of u?
2, 7
Let k(h) = 3*h**2 - 4*h - 3. Suppose 0 = -8*b + 3*b - 15. What are the prime factors of k(b)?
2, 3
Let o be -4*(0 - 3/6). Suppose -o*i + 35 = 3*i. What are the prime factors of i?
7
Let p(m) = -m**3 + 6*m**2 + m - 7. Let y be p(6). Let f be (-410)/(-50) - 2/10. Let c = y + f. List the prime factors of c.
7
Let o be 5/20 - 185/4. Let u = 82 + o. List the prime factors of u.
2, 3
Let z be ((-44)/(-10))/((-1)/(-5)). Suppose -3*t + 4*m + 19 = -z, -4*t + 33 = -m. Suppose -37 = -4*n + t. What are the prime factors of n?
11
Suppose 0*p = 2*c + p - 7, 6 = 2*c + 2*p. Suppose c*u - 13 = 63. List the prime factors of u.
19
Suppose -5*y + 6 = -2*y. Suppose -y*u = -7*u. Suppose 2*q - 8 - 20 = u. List the prime factors of q.
2, 7
Let t = -3 - -5. Suppose t*u - 5*p + 6 = -1, 4*u - 3*p = -21. Let h = 10 + u. List the prime factors of h.
2
Suppose 5*t - 6*t - 3 = 0. Let d be (2/t)/((-4)/18). Suppose -d = 2*g - 3*g. What are the prime factors of g?
3
Let o(n) = n**3 + 5*n**2 + 2*n + 3. Let t = 14 - 10. Suppose -2*f + t = -3*f. List the prime factors of o(f).
11
Suppose 0 = 2*q - 239 + 77. What are the prime factors of q?
3
Suppose 17*y - 19*y + 142 = 0. What are the prime factors of y?
71
Let n(o) = o**2 - 3*o - 4. Let y be n(3). Let m be (y/(-5))/(10/25). Suppose m*s = 4*s - 2*g - 26, g = -2*s + 38. What are the prime factors of s?
17
Suppose -2*p - 64 = -220. What are the prime factors of p?
2, 3, 13
Let q be (-6)/(-3*6/639). Suppose 2 = -2*d, 32 = 5*a - 4*d + q. Let l = 54 + a. What are the prime factors of l?
17
Suppose -k + 1 + 4 = 0, -4*x - 5*k = -149. Let s = -18 + x. What are the prime factors of s?
13
Let y = 14 + -2. Let q be ((-10)/(-4))/(6/y). Suppose 23 + q = 4*p. What are the prime factors of p?
7
Suppose 0 = 4*u + u - 65. Suppose -10 = 2*m + 4*n, -4*m + 0*n = -3*n - u. List the prime factors of (-99)/(-12) - m/4.
2
Let j(i) = i**3 + 12*i**2 + 10*i - 1. Let a be j(-11). Suppose n - a = -4*n. What are the prime factors of n?
2
Suppose -5*a + 5 + 0 = 0. Let v(b) = b**2 - 1. Let y be v(a). Suppose -2*o + 10 + 4 = y. List the prime factors of o.
7
Let z = -167 - -260. What are the prime factors of z?
3, 31
Suppose 10*o - 6 = 8*o. Let l be 4/14 - (-374)/14. Suppose -5*a + 2*m = -2*a - l, 46 = 5*a - o*m. What are the prime factors of a?
11
Let d = 158 + -79. What are the prime factors of d?
79
Suppose -22 = p - 6*p - x, -3*p + 2 = -5*x. Suppose -p*j - j + 34 = 4*n, -70 = -5*j + 5*n. List the prime factors of j.
2, 5
Let d(h) = -h + 20. Let c = 7 + 2. What are the prime factors of d(c)?
11
Let c(o) = 69*o - 6. List the prime factors of c(2).
2, 3, 11
Let d = 25 - 22. Let g(r) = r**2 - 2*r + 0*r**2 - 1 + 2. What are the prime factors of g(d)?
2
Let b be (-1 + -2)*(-2)/2. Let x(c) = c**3 - c**2 - 2*c + 2. What are the prime factors of x(b)?
2, 7
Suppose -g + 5 = 3*i, 37 = -3*g - 3*i + 7*i. Let c(j) = -j - 1. Let f(n) = -7*n - 13. Let p(q) = -5*c(q) + f(q). List the prime factors of p(g).
2, 3
Let s(t) = -t**3 + 10*t**2 - t + 10. Let p be s(10). Suppose p - 30 = -3*l. List the prime factors of l.
2, 5
Let f(a) = a - 1. Let q be f(1). Let t = q + 8. List the prime factors of t.
2
Let n = 5 - -22. Let r = n + -11. List the prime factors of r.
2
Suppose 4 = 3*j - j. Suppose 0 = -s + j, -4*z - 3*s = -s - 76. What are the prime factors of z?
2, 3
List the prime factors of (-45)/(-2)*6/5.
3
Let w be ((-16)/(-6) - 2)*6. Suppose 5*r - w*z - 114 = 0, -4*z - 26 = -4*r + 3*r. Suppose 5*g - 13 = r. What are the prime factors of g?
7
Let a(l) be the second derivative of 5*l**3/6 + 5*l**2/2 - 3*l. Let d be a(4). Let w = 37 - d. List the prime factors of w.
2, 3
Let m = 235 + -104. What are the prime factors of m?
131
Suppose o = -3*o + 8. Let p(w) = w**2 + 3*w - 6. Let n be p(-6). Suppose o*a = -0*a + n. What are the prime factors of a?
2, 3
Suppose -4*b - h - 3 = 0, 5*b + 5*h + 15 = -0*h. Let w(x) = x + 17. List the prime factors of w(b).
17
Let k be -1 + 1 + -5 + 24. Suppose 2*q - k = -3. List the prime factors of q.
2
Let z = -15 - -53. List the prime factors of z.
2, 19
Let z(v) = v**2 - 2*v + 82. List the prime factors of z(0).
2, 41
Suppose 3*g + 3 - 2 = 5*j, 3*j = -4*g + 18. Suppose -j*l = 2*l. Suppose l = -f + 4*b - 8, f - 2 = 2*b - 0*b. List the prime factors of f.
2, 3
Suppose -2*w + 5*l = 4, 0 = w + l + 2. Let i(b) = 3*b**2 - b - 2. List the | {
"pile_set_name": "DM Mathematics"
} |
y be 4/2 + (3 - 1). Suppose 0 = -o - 3*l + 13, y*l = l + 9. Calculate the smallest common multiple of o and 11.
44
Let w(p) = p**3 - 13*p**2 + 16*p - 7. Calculate the least common multiple of 5 and w(12).
205
Let k = -3 + 7. Let s = 79 - 75. What is the least common multiple of s and k?
4
Suppose -4*f - 4*g - 139 = g, 5*f = -3*g - 177. Let a be (-3)/((-9)/(-6)) + -1. Find the common denominator of -21/8 and a/f*(-89)/1.
24
Suppose -z + 0*z + 4*l + 36 = 0, 3*z = 4*l + 76. Calculate the smallest common multiple of z and 14.
140
Suppose 4*r - 2 = 3*r. Suppose 3*c - 28 = -5*m, -3*c + 7*m - 22 = r*m. What is the smallest common multiple of 7 and c?
7
What is the common denominator of 14/15 and 3177/81 - 2/9?
15
Let h = -17 - -25. Calculate the lowest common multiple of h and 7.
56
Let g = 28852/217505 - 27/205. Let t = g + -24421/19098. Let f = -6299 + 113279/18. Calculate the common denominator of t and f.
18
Calculate the lowest common multiple of 24 and -10*-12*6/20.
72
Let r = 4583/22 + -208. Let q be 3/3 - 4859/4853. Let u = 296165/106766 + q. Calculate the common denominator of u and r.
22
Let b = -1/320 + -1879/320. Find the common denominator of b and 36.
8
Let j(l) = -4*l + 36. Calculate the least common multiple of (-2)/(2/(-1)) + 9 and j(6).
60
Let m = 16 + -12. Calculate the smallest common multiple of m and 92.
92
Calculate the common denominator of -6*((-9)/(-30))/1 and 2/5 + 273/30.
10
Let b be ((-13)/2)/(5/(-10)). Let a = 19 - b. Calculate the least common multiple of 16 and a.
48
Let l(q) be the first derivative of 2*q**3/3 + q**2/2 - 2. What is the least common multiple of 11 and l(1)?
33
Suppose 85 - 1 = 3*u. Let p be 16/u*(-14)/(-4). Suppose 3 = -p*k + 17. What is the least common multiple of k and 3?
21
Let q = 4768442659/355 + -13432259. Let s = q - 145/71. Let r = -398/15 - s. Calculate the common denominator of -46/3 and r.
3
Suppose 5*c - 10*c = -50. Suppose -o - 3 - 3 = -2*s, 4*o = 4*s - 12. What is the least common multiple of 3 + (-2)/s*3 and c?
10
Let s be 6/4 + (-18)/(-4). Suppose 3*z = -6 + 15, -s = 2*i - 4*z. Suppose -5*g - 2*w = -21, i = -g - 4*w - 0. What is the smallest common multiple of 10 and g?
10
Suppose -y + 54 = -4*y. What is the common denominator of ((-2)/6)/((-16)/(-20)) and ((-4)/y)/(16/(-498))?
12
Suppose -i - 4*i = -10. Calculate the least common multiple of i and 30.
30
Let u(o) = -12*o - 3 + 0*o**2 - 10 + o**2 + 4. What is the lowest common multiple of u(13) and 24?
24
Let x(z) be the second derivative of z**4/4 + z**3/6 - 2*z**2 - 2*z. What is the lowest common multiple of 22 and x(-3)?
220
What is the common denominator of (-273)/104 + -1*5 and 87/26?
104
Let b = -21137/6 + 3510. What is the common denominator of (25/(-30))/((-4)/3) and b?
24
Let r be 15/9 + (-1)/(-3). Suppose -r*b = -3*b + 5. Calculate the least common multiple of 2 and b.
10
What is the common denominator of -4 and (-158)/(-20) - 30/75?
2
Suppose -27 - 23 = -5*q. Calculate the lowest common multiple of 5 and q.
10
Let z = -20 - -26. Calculate the least common multiple of z and 4.
12
Calculate the common denominator of 65/56 and 275/30 + (-4 - 1).
168
Suppose 3*v = -26 + 218. Suppose -2*n = o - 3, n - 6*n - v = -4*o. Calculate the lowest common multiple of o and 7.
77
What is the smallest common multiple of -1 + 23/1 + 0 - 4 and 14?
126
Suppose 0 = -8*n + 3*n + 30. Let s be (0 - 3)/(-9)*n. What is the least common multiple of s/(-8) - 100/(-16) and 10?
30
Let c be ((-4)/18)/((-759)/9). Let m = c - 6329/1518. What is the common denominator of m and 4/10 + 343/30?
6
Let h be 5*((-12)/20 - -1). Calculate the common denominator of 71/4 + (2 - h) and 79/12.
12
Suppose -2*r = -r - 9. Calculate the lowest common multiple of r and (2*(-3)/(-9))/((-18)/(-243)).
9
What is the least common multiple of 2/(-11) - 2010/(-165) and 88?
264
Find the common denominator of (266/(-120) + 0)/((-2)/5) and 101/2.
24
Let g(i) = i**2 + 4*i + 4. Let q be g(-5). Let h = q + -18. Calculate the common denominator of 95/16 and 4/(-2) + h/12.
16
Suppose 4*o - o = 36. Let a(q) = q**2 + 2*q + 2. Let l be a(-2). Suppose l*u = u + 6. What is the smallest common multiple of o and u?
12
What is the common denominator of (1 - (-129)/(-48)) + -4 and -121/18?
144
Let r = 0 + 1. Calculate the lowest common multiple of 14 and r.
14
Let f be (-42374)/30*(-20)/(-24). Let v = f + 3548/3. Find the common denominator of v and 119/12.
36
Let t = -40923766082/12458457 - -1/1132587. Let s = 3282 + t. Calculate the common denominator of s and 2/(-80)*-134 + 7/(-28).
110
Suppose -467 = t + 4*w + 226, -5*t = 5*w + 3435. Let m = t - -5487/8. Find the common denominator of m and 57/2.
8
Let a = 149 + -119. What is the lowest common multiple of 12 and a?
60
Let l = 3/6161 + -708569/110898. Find the common denominator of -97/14 and l.
126
Suppose 2*r - r = 51. Calculate the smallest common multiple of 21 and r.
357
Let j = -26/43 - -2711/430. Find the common denominator of j and -11/14.
70
Suppose 4*i = 8*i. Suppose i = -y + 4 + 1, -2*t - 4*y + 52 = 0. What is the smallest common multiple of 18 and t?
144
Calculate the common denominator of -101/18 and 382/48 + (-24)/18.
72
Let h = 309 - 36. What is the common denominator of -1 + h/12 + -2 and -61/20?
20
Let d be 108/(-10) + (-36)/(-45). Calculate the lowest common multiple of ((-14)/d)/(3/15) and 7.
7
Let r = -163 + 171. Calculate the least common multiple of 34 and r.
136
Let d be ((-1)/8)/((-15)/626260). Let g = d + -5234. Calculate the common denominator of g and -127/12.
12
Suppose 20 = 4*z, -3*v + 0*z + 4*z = 164. Find the common denominator of -57/14 and ((-260)/v - -2) + 1.
84
Let v = 144 + -242. Calculate the common denominator of 149/18 and (-2)/(-6)*2163/v.
126
Let w(u) be the second derivative of -u**5/20 - 13*u**4/12 + u**3/6 + 9*u**2 - 6*u. What is the least common multiple of w(-13) and 9?
45
Let c(v) = -v**3 + 7*v**2 - 4*v - 2. Calculate the lowest common multiple of 24 and c(6).
120
Let i(g) = 3*g - 6. Let b be i(4). Let c(a) = a - 1. What is the smallest common multiple of 2 and c(b)?
10
Find the common denominator of 10/45*(-453)/(-8) and (-61)/(-16) + (-3)/(-2).
48
Let c = 993/34 + 5/17. What is the common denominator of ((-205)/60 + 4)*9 and c?
4
Find the common denominator of 18*(1/(-4) + -1) and (0 + (-106)/(-4))/(-1 + 2).
2
Let x(y) = 2*y**3 - 4*y**2 - 3*y. Calculate the smallest common multiple of x(4) and 5.
260
Let c = 1745/208 + -118/13. Calculate the common denominator of 85/52 and c.
208
Suppose i - 4*i = 9, -5*f + 5*i = -15. Suppose f = 2*s + s - 9. Suppose p = -5*j + 40, 0 = -2*j + 2*p + 1 + 3. What is the smallest common multiple of s and j?
21
Let j(u) = -6*u - 2. Calculate the smallest common multiple of j(-3) and 8 + -10 + 4 + 4.
48
Suppose p = -0*p - l + 69, -2*l + 204 = 3*p. Let r = -178/3 + p. Calculate the common denominator of r and 23/9.
9
Let m = 835/189 + -19/27. Let c = -4548 - -36441/8. Calculate the common denominator of c and m.
56
Let l be 907*(-2)/(-36) + -1. Let k = 569/9 - l. Let z = 47/11 - 827/88. What is the common denominator of z and k?
24
Suppose -3*l = -0*l - 18. Suppose -6*q + q = -5, 2*z - 5*q = 17. What is the least common multiple of z and l?
66
Let x = 666736080/7 - 95853033. Let v = 604034 + x. Let c = v + 986. What is the common denominator of -61/2 and c?
14
Let m = 150 + -134. Calculate the smallest common multiple of m and 7.
112
Let d(a) = a**3 + 9*a**2 + 10*a - 1. Let p be d(-7). What is the common denominator of 1 + (p/21 - -3) and -51/2?
14
Let s = -2453/8 + 307. Find the common denominator of 45/4 and s.
8
Let m(c) = -29*c + 13. Let k be m(-9). What is the common denominator of -151/12 and (9/18)/((-12)/k)?
12
Suppose 4*r - 14 = 10. What is the least common multiple of r and 20?
60
Suppose -3*r - 9 = 0, a - 2*r + 9 - 37 = 0. Let x(l) = l + 7. Let n be x(-5). Calculate the lowest common multiple of (-3)/((-3)/44*n) and a.
22
What is the least common multiple of -4*(0/3 + -4) and 12?
48
Let n(i) = i**2 - 8*i - 5. Let s be n(7). What is the lowest common multiple of (-1*3)/(s/64) and 38?
304
Let b(v) = 2*v**2 - 3*v + 4. Calculate the smallest common multiple of b(4) and -5*(-4 + (0 - 0)).
120
Suppose 4*a + 5*i = -70, -a + i - 102 = 4*a. What is the smallest com | {
"pile_set_name": "DM Mathematics"
} |
115, -30889, -32751, -34719?
-36811
What is next in 8454, 33673, 75698, 134529, 210166?
302609
What is the next term in 247800, 247743, 247686?
247629
What is next in -17688652, -17688649, -17688646, -17688643?
-17688640
What is the next term in -20928, -20465, -20002, -19539, -19076, -18613?
-18150
What comes next: 1518, 13601, 46920, 112095, 219746, 380493?
604956
What is the next term in -2549, -3720, -5423, -7658, -10425, -13724?
-17555
What is the next term in 12337111, 12337110, 12337109, 12337108?
12337107
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356482
What comes next: 54, 19, -16, -51, -86, -121?
-156
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2405043463
What is next in 54547, 53506, 52465?
51424
What is the next term in -11285, -21852, -31675, -40760, -49113, -56740, -63647?
-69840
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4664
What comes next: 7722, 15447, 23170, 30879, 38562, 46207?
53802
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-3460
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75460
What comes next: -20146693, -20146698, -20146703, -20146708?
-20146713
What is next in -70711, -565702, -1909249, -4525630, -8839123?
-15274006
What comes next: 21013, 21005, 20987, 20959?
20921
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2185392
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475795
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-50373
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6765617
What comes next: 4756, 39535, 135018, 321901, 630880, 1092651?
1737910
What comes next: 3197, 6103, 8785, 11237, 13453, 15427, 17153?
18625
What is the next term in -100162120, -100162117, -100162114, -100162111, -100162108, -100162105?
-100162102
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18912857
What is the next term in -175835, -176536, -177699, -179318, -181387, -183900, -186851?
-190234
What is next in -229552, -457846, -686140, -914434, -1142728?
-1371022
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62525
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6696
What is the next term in -271242, -271486, -271716, -271926, -272110, -272262?
-272376
What comes next: -43803, -44073, -44343, -44613, -44883?
-45153
What is the next term in -167, 3300, 12705, 31018, 61209, 106248, 169105, 252750?
360153
What comes next: -321825, -321757, -321687, -321615, -321541, -321465?
-321387
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2880351
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-39561
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-116350
What is next in 38579, 80367, 122155?
163943
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219213
What is next in 19755, 19434, 19111, 18786, 18459?
18130
What is the next term in 204810, 409621, 614430, 819237, 1024042, 1228845, 1433646?
1638445
What is next in -4887, -19524, -43917, -78066, -121971, -175632?
-239049
What comes next: -1301309, -1301322, -1301335, -1301348, -1301361, -1301374?
-1301387
What comes next: -538, -1198, -2274, -3766?
-5674
What comes next: -38204, -38368, -38650, -39056, -39592, -40264, -41078?
-42040
What is next in -6677, -12479, -17407, -21461, -24641, -26947, -28379?
-28937
What comes next: 384237, 384218, 384187, 384144?
384089
What comes next: -110130, -110095, -110030, -109935, -109810?
-109655
What is the next term in 35464, 71190, 106918, 142648, 178380, 214114, 249850?
285588
What is the next term in 30366891, 30366893, 30366895?
30366897
What comes next: 197, 314, 627, 1232, 2225, 3702?
5759
What is the next term in 11749, 23285, 34821, 46357?
57893
What is the next term in -2758, -11138, -25104, -44656, -69794, -100518, -136828?
-178724
What comes next: 139208, 278422, 417646, 556880, 696124, 835378, 974642?
1113916
What is next in 9908, 9849, 9742, 9581, 9360?
9073
What is next in 2098440089, 2098440088, 2098440087?
2098440086
What comes next: -3374804, -13499146, -30373044, -53996492, -84369484?
-121492014
What is next in -39513216, -39513217, -39513218, -39513219, -39513220?
-39513221
What comes next: -3433622, -3433629, -3433636, -3433643?
-3433650
What is next in -21644, -17522, -13366, -9158, -4880?
-514
What is the next term in 11920, 95924, 324304, 769366, 1503416, 2598760, 4127704?
6162554
What is the next term in -8775, -17373, -25971, -34569?
-43167
What is next in 91751, 183470, 275107, 366620, 457967, 549106?
639995
What comes next: -437, 1157, 5455, 13801, 27539, 48013?
76567
What is the next term in -15579755, -15579759, -15579765, -15579773, -15579783, -15579795, -15579809?
-15579825
What comes next: 8602, 34394, 77366, 137500, 214778, 309182, 420694?
549296
What is next in -51489, -51493, -51509, -51543, -51601, -51689, -51813?
-51979
What is the next term in -4407199, -8814402, -13221605?
-17628808
What is next in 255294, 510921, 766548, 1022175?
1277802
What comes next: 5767, 46106, 155637, 368956, 720659, 1245342?
1977601
What comes next: 80117, 80075, 80035, 80021, 80057, 80167, 80375?
80705
What comes next: -144268, -158148, -172028, -185908?
-199788
What is next in -1140997, -1140626, -1140253, -1139878, -1139501, -1139122?
-1138741
What comes next: -280, -1026, -2430, -4624, -7740, -11910, -17266, -23940?
-32064
What is next in 65072, 520461, 1756566, 4163747, 8132364, 14052777, 22315346?
33310431
What comes next: -2359, -9565, -21599, -38449, -60103, -86549, -117775?
-153769
What is the next term in -19035, -76106, -171217, -304368, -475559, -684790?
-932061
What comes next: 12598, 18671, 24742, 30811, 36878?
42943
What comes next: -18346, -18564, -18942, -19486, -20202, -21096?
-22174
What is the next term in -3909287, -3909278, -3909269, -3909260?
-3909251
What is next in 5048, 10092, 15160, 20288, 25512?
30868
What is next in 3184, 7268, 11348, 15424?
19496
What is next in 1203287, 2406747, 3610207, 4813667?
6017127
What comes next: -331, -2631, -8853, -20959, -40911, -70671, -112201?
-167463
What comes next: 10367, 19192, 28015, 36836, 45655, 54472, 63287?
72100
What is next in 17770, 32620, 47470, 62320?
77170
What comes next: 90674, 90861, 91174, 91613, 92178?
92869
What is next in -880253, -1760537, -2640859, -3521225, -4401641, -5282113, -6162647?
-7043249
What is next in -576150, -2304678, -5185580, -9218856, -14404506, -20742530, -28232928?
-36875700
What comes next: -21936, -21095, -19700, -17757, -15272?
-12251
What comes next: 11025, 21564, 32031, 42426, 52749?
63000
What comes next: -10928, -27331, -43734?
-60137
What comes next: -11161, -21506, -31851, -42196, -52541?
-62886
What is next in -782, -3494, -8028, -14390, -22586, -32622?
-44504
What is the next term in -337959, -338016, -338073, -338130, -338187, -338244?
-338301
What is the next term in -173596, -694459, -1562578, -2777959, -4340608, -6250531, -8507734, -11112223?
-14064004
What comes next: -206511, -204171, -201831, -199491?
-197151
What is next in 9609, 9680, 9737, 9780, 9809, 9824, 9825?
9812
What is the next term in 4616, 36935, 124624, 295361, 576824, 996691, 1582640, 2362349?
3363496
What is next in -15429, -12210, -8991?
-5772
What is next in 38111, 76516, 114921, 153326?
191731
What is next in 363, 1590, 3919, 7584, 12819, 19858, 28935, 40284?
54139
What is next in 32, 98, 310, 746, 1484?
2602
What is next in -4589531, -4589471, -4589411, -4589351, -4589291, -4589231?
-4589171
What is next in -67126, -67122, -67128, -67144, -67170, -67206, -67252?
-67308
What is the next term in 200, 455, 766, 1133, 1556, 2035, 2570?
3161
What is the next term in 1130, 1142, 1150, 1148, 1130, 1090, 1022?
920
What comes next: -14677894, -14677896, -14677898?
-14677900
What is the next term in -13921, -14161, -14865, -16267, -18601?
-22101
What comes next: 143472, 143596, 143924, 144558, 145600?
147152
What is next in 13952, 54987, 123382, 219137?
342252
What is next in -248870, -249125, -249380?
-249635
What is the next term in -151424, -607698, -1368154, -2432792, -3801612?
-5474614
What is the next term in 976342, 1952687, 2929032, 3905377, 4881722, 5858067?
6834412
What comes next: -486909815, -486909816, -486909817?
| {
"pile_set_name": "DM Mathematics"
} |
he hundreds digit of 77631?
6
What is the tens digit of 1789?
8
What is the units digit of 10149?
9
What is the tens digit of 976?
7
What is the thousands digit of 4526?
4
What is the ten thousands digit of 50866?
5
What is the hundreds digit of 44423?
4
What is the units digit of 8208?
8
What is the thousands digit of 36022?
6
What is the tens digit of 3721?
2
What is the hundreds digit of 799?
7
What is the tens digit of 843?
4
What is the units digit of 3856?
6
What is the ten thousands digit of 24351?
2
What is the units digit of 554?
4
What is the units digit of 34977?
7
What is the tens digit of 87461?
6
What is the units digit of 122652?
2
What is the units digit of 3928?
8
What is the hundreds digit of 1316?
3
What is the tens digit of 3169?
6
What is the units digit of 1271?
1
What is the units digit of 165258?
8
What is the hundreds digit of 3272?
2
What is the thousands digit of 1881?
1
What is the hundreds digit of 32372?
3
What is the ten thousands digit of 46144?
4
What is the tens digit of 571?
7
What is the thousands digit of 6519?
6
What is the hundreds digit of 207?
2
What is the thousands digit of 10479?
0
What is the units digit of 305?
5
What is the units digit of 619?
9
What is the thousands digit of 57738?
7
What is the units digit of 27285?
5
What is the tens digit of 1910?
1
What is the tens digit of 2501?
0
What is the units digit of 4511?
1
What is the hundreds digit of 2844?
8
What is the thousands digit of 8686?
8
What is the thousands digit of 2104?
2
What is the thousands digit of 3585?
3
What is the hundreds digit of 342?
3
What is the thousands digit of 44958?
4
What is the thousands digit of 65474?
5
What is the hundreds digit of 3222?
2
What is the thousands digit of 3909?
3
What is the ten thousands digit of 97338?
9
What is the hundreds digit of 880?
8
What is the hundreds digit of 5481?
4
What is the tens digit of 244?
4
What is the thousands digit of 1621?
1
What is the units digit of 1096?
6
What is the hundreds digit of 3219?
2
What is the tens digit of 89889?
8
What is the tens digit of 43192?
9
What is the units digit of 1591?
1
What is the units digit of 6149?
9
What is the thousands digit of 36323?
6
What is the thousands digit of 1035?
1
What is the hundreds digit of 51931?
9
What is the thousands digit of 1420?
1
What is the units digit of 2803?
3
What is the tens digit of 8620?
2
What is the units digit of 15358?
8
What is the thousands digit of 1258?
1
What is the tens digit of 804?
0
What is the ten thousands digit of 133222?
3
What is the tens digit of 9874?
7
What is the tens digit of 67467?
6
What is the hundreds digit of 495?
4
What is the hundreds digit of 8542?
5
What is the tens digit of 8774?
7
What is the units digit of 78552?
2
What is the units digit of 8370?
0
What is the hundreds digit of 35714?
7
What is the units digit of 2052?
2
What is the units digit of 1425?
5
What is the units digit of 1675?
5
What is the tens digit of 12863?
6
What is the units digit of 47?
7
What is the units digit of 2313?
3
What is the thousands digit of 3398?
3
What is the thousands digit of 76183?
6
What is the hundreds digit of 86190?
1
What is the tens digit of 1600?
0
What is the units digit of 29980?
0
What is the hundreds digit of 53758?
7
What is the thousands digit of 7754?
7
What is the hundreds digit of 27773?
7
What is the ten thousands digit of 76884?
7
What is the units digit of 20845?
5
What is the hundreds digit of 3912?
9
What is the tens digit of 1174?
7
What is the hundreds digit of 1220?
2
What is the thousands digit of 4706?
4
What is the tens digit of 1308?
0
What is the units digit of 12675?
5
What is the tens digit of 4813?
1
What is the tens digit of 256?
5
What is the tens digit of 52152?
5
What is the thousands digit of 41199?
1
What is the units digit of 54?
4
What is the units digit of 15523?
3
What is the thousands digit of 8107?
8
What is the thousands digit of 2190?
2
What is the units digit of 488?
8
What is the ten thousands digit of 53883?
5
What is the units digit of 384?
4
What is the units digit of 1960?
0
What is the hundreds digit of 1620?
6
What is the thousands digit of 51296?
1
What is the units digit of 449?
9
What is the thousands digit of 3748?
3
What is the hundreds digit of 2851?
8
What is the units digit of 26978?
8
What is the thousands digit of 1166?
1
What is the hundreds digit of 604?
6
What is the ten thousands digit of 54961?
5
What is the units digit of 8775?
5
What is the tens digit of 6147?
4
What is the hundreds digit of 6665?
6
What is the units digit of 9889?
9
What is the hundreds digit of 16818?
8
What is the ten thousands digit of 11925?
1
What is the hundreds digit of 6339?
3
What is the units digit of 8455?
5
What is the units digit of 1217?
7
What is the tens digit of 528?
2
What is the hundreds digit of 624?
6
What is the tens digit of 441?
4
What is the hundreds digit of 1052?
0
What is the tens digit of 570?
7
What is the ten thousands digit of 76935?
7
What is the tens digit of 1901?
0
What is the thousands digit of 96275?
6
What is the hundreds digit of 5018?
0
What is the ten thousands digit of 17287?
1
What is the hundreds digit of 52246?
2
What is the units digit of 12995?
5
What is the hundreds digit of 640?
6
What is the units digit of 72180?
0
What is the tens digit of 50401?
0
What is the tens digit of 33713?
1
What is the ten thousands digit of 15688?
1
What is the units digit of 4963?
3
What is the tens digit of 937?
3
What is the units digit of 114?
4
What is the tens digit of 4925?
2
What is the thousands digit of 139186?
9
What is the hundreds digit of 425?
4
What is the units digit of 470?
0
What is the units digit of 6047?
7
What is the tens digit of 90257?
5
What is the hundreds digit of 58996?
9
What is the hundreds digit of 88330?
3
What is the tens digit of 18491?
9
What is the units digit of 65001?
1
What is the tens digit of 16?
1
What is the ten thousands digit of 99387?
9
What is the tens digit of 646?
4
What is the units digit of 1183?
3
What is the thousands digit of 6706?
6
What is the hundreds digit of 28659?
6
What is the tens digit of 7487?
8
What is the units digit of 891?
1
What is the tens digit of 808?
0
What is the ten thousands digit of 56311?
5
What is the thousands digit of 10156?
0
What is the hundreds digit of 1039?
0
What is the hundreds digit of 2913?
9
What is the tens digit of 7076?
7
What is the hundreds digit of 13760?
7
What is the hundreds digit of 31300?
3
What is the units digit of 14694?
4
What is the units digit of 2583?
3
What is the tens digit of 2874?
7
What is the units digit of 1008?
8
What is the tens digit of 191?
9
What is the tens digit of 23856?
5
What is the thousands digit of 1358?
1
What is the units digit of 861?
1
What is the thousands digit of 111832?
1
What is the units digit of 1075?
5
What is the thousands digit of 112439?
2
What is the thousands digit of 3973?
3
What is the hundreds digit of 64432?
4
What is the ten thousands digit of 11979?
1
What is the hundreds digit of 6996?
9
What is the thousands digit of 100607?
0
What is the hundreds digit of 2580?
5
What is the thousands digit of 1549?
1
What is the hundreds digit of 41401?
4
What is the units digit of 2061?
1
What is the thousands digit of 9183?
9
What is the units digit of 229?
9
What is the thousands digit of 1607?
1
What is the tens digit of 620?
2
What is the thousands digit of 116798?
6
What is the tens digit of 7841?
4
What is the units digit of 17734?
4
What is the thousands digit of 17503?
7
What is the units digit of 763?
3
What is the thousands digit of 7923?
7
What is the tens digit of 1384?
8
What is the hundreds digit of 1273?
2
What is the tens digit of 1155?
5
What is the units digit of 2138?
8
What is the units digit of 4217?
7
What is the tens digit of 555?
5
What is the units digit of 11883?
3
What is the ten thousands digit of 75710?
7
What is the tens digit of 54?
5
What is the thousands digit of 21793?
1
What is the hundreds digit of 4937?
9
What is the tens digit of 2984?
8
What is the thousands digit of 3008?
3
What is the hundreds digit of 71010?
0
What is the hundreds digit of 4153?
1
What is the units digit of 1673?
3
What is the tens digit of 491?
9
What is the units digit | {
"pile_set_name": "DM Mathematics"
} |
e 2/4 - 15/(-10). What is the second smallest value in -1/7, -1/8, b, t?
-1/8
Let j = 110 + -119. What is the third smallest value in j, 10/3, -0.2?
10/3
Let u = -0.1789 - 0.0211. Let g = -3.3 + 3. Which is the second smallest value? (a) 0.3 (b) u (c) g
b
Let p = 62 - 432/7. Let u = -182 - -81. Let d = -101.4 - u. What is the second smallest value in d, p, -4/3?
d
Let v = 31 - 94/3. Let k = 0.25 + -0.4. Let g = k - -0.35. What is the third biggest value in g, v, -5/3?
-5/3
Let k be 0 + 87/18 - (-4)/6. Let q = 35/6 - k. Which is the biggest value? (a) q (b) -2/7 (c) 0.5
c
Let i = 0.3 - 0.3. Suppose 3*t + 4*x - 7*x - 33 = 0, 5*x = -10. Let a be 93/t - -3 - 6/(-9). What is the third biggest value in i, -0.5, a?
-0.5
Suppose 3*u + 7*d - 258 = 4*d, 3*u - 226 = 5*d. Let r = 84 - u. Which is the third smallest value? (a) 1 (b) r (c) -33/4
b
Let t = -5/42 - -149/546. Which is the third biggest value? (a) 0.3 (b) -3 (c) t (d) -0.5
d
Suppose -5*l - 68 = 7. Let o = l - -11. Let t = 0.07 - -0.33. Which is the biggest value? (a) -3/4 (b) o (c) t
c
Let a = -284 - -286. Let d = -0.2 + 0.2. What is the second smallest value in a, -0.12, d?
d
Let x = 7748 + -2595578/335. Let y = 1334/1005 + x. Which is the third biggest value? (a) 3 (b) y (c) -1
c
Let q = 9.23 + -7.23. Let x(i) = -i**3 + 6*i**2 - i - 7. Let o be x(6). Which is the second smallest value? (a) q (b) 0 (c) 1 (d) o
b
Let y be 647/1078 + 2/(-11). Let q = y + 1/98. Let i = -5 + 5.4. What is the smallest value in 1, i, q?
i
Let k be (2/8)/((-50)/(-24280)). Let r = k - 121. What is the fourth smallest value in r, 0.2, -4, -3?
r
Let g = 0.0837 + -5.0837. What is the fourth smallest value in 3/4, g, -2/5, 0.4?
3/4
Let l = 12.8 + 2.2. Let r = -4 + l. Let h = -11.1 + r. What is the smallest value in 1, -6, h?
-6
Let v = 8.86 + 0.14. Let q = v - 9. Let x = q + 0.6. Which is the second biggest value? (a) -4 (b) -1/4 (c) x
b
Let v be (-8 - -5)/((-10)/8 - 1). Let q = -0.4 - 4.6. What is the fourth biggest value in -2, v, 0.3, q?
q
Let h = -37 + 16. Let s = h + 16. Let o = -0.2 + 0.1. Which is the second biggest value? (a) o (b) 2/13 (c) s
a
Let d = -91 - -146. Let z = d + -54.7. Let v = 3 + -7. Which is the third smallest value? (a) -8 (b) v (c) z
c
Let i = -17.02 + 6.1. Let p = i - -11. Let d = p - 1.08. Which is the second biggest value? (a) 0 (b) d (c) 0.1
a
Let h = 15.19 + -15.39. Let f = 256/665 + 2/133. What is the third biggest value in 2/13, h, f?
h
Let k = 2.089 - 2.289. Which is the second smallest value? (a) k (b) -0.11 (c) -5/6 (d) -1
c
Suppose -85*z + 76 = -81*z. What is the third biggest value in z, 3/4, 5?
3/4
Let q = -5 - -10. Let h = 89 - 3475/39. Let v = -17/39 - h. What is the third smallest value in q, v, 3?
q
Let v(y) = 5*y - 15. Let s be v(4). Let u(k) = k**2 - 7*k + 8. Let n be u(s). Let l = 8 + -3. What is the smallest value in -0.1, n, l?
n
Let s = -5 - 5. Let x be (14/s)/(1/(-37)). Let o = x + -52. What is the third smallest value in -3, o, -3/4?
o
Suppose -f - 115 + 4 = 0. Suppose 0 = -4*u - 4*b + 16, -5*u + 4 = -4*b + b. Let t be f/108 - u/9. What is the second smallest value in 0.2, t, 2?
0.2
Let t = -195 + 194.9. What is the third biggest value in 92, t, 1/4?
t
Let l = -16 + 37/2. Let k = -10 - -24. Let s be ((-4)/6)/(21/k). What is the third smallest value in -3, l, s?
l
Let n = -16.07 - -15.3. Let o = 0.27 + n. Let g = o - 0.5. Which is the third biggest value? (a) g (b) 2 (c) -3
c
Let x = 5/7 + -3/14. Let d be (1 + 0)/(-2 + 3 + -2). Which is the smallest value? (a) d (b) x (c) -2
c
Let w = 65/87 - -1/348. Which is the fourth smallest value? (a) -18 (b) w (c) -3/8 (d) 4/5
d
Let p = 25 - 20. Suppose 0 = 3*t - 2*g - 5, 0 = -2*g + 7*g + 5. Let q = 0.1 + -2.1. What is the third biggest value in t, p, q?
q
Let y = -0.021 - 0.509. Let t = y + 0.35. Let k = -0.38 - t. What is the third biggest value in -0.4, 1/4, k?
-0.4
Let n = -113/63 + 11/7. Let w = 7 - 8. Let x be w*(-1)/26*4. What is the second biggest value in 2, x, n?
x
Let p be (2/12)/(6/(-16)). Let r = p - 2/9. What is the third biggest value in r, -0.5, -2/17?
r
Let h = -9.03 - -0.03. Let s = 14 + h. Let y = 3 - s. What is the smallest value in -0.1, 2/13, y?
y
Let r = 309.97 + -310. Which is the second smallest value? (a) r (b) 4/15 (c) 0.2
c
Let x(n) = n**3 + 2*n**2 + 1. Let h be x(-2). Suppose 0 = 3*p - 3*t - 51, -2*t - 3*t = p - 29. What is the smallest value in 0.5, p, -0.5, h?
-0.5
Let x = -0.23 + -0.07. Let m = 6250 + -6246. What is the second smallest value in 2, -0.1, m, x?
-0.1
Let m be 2/684*(2 - -1782). Let r = m + -46/9. What is the second biggest value in r, 0.3, -15?
r
Let k = -1.588 - -1.488. Which is the third smallest value? (a) 0.03 (b) 5 (c) k
b
Suppose -162 = 120*x - 111*x. Which is the third smallest value? (a) x (b) -0.2 (c) -1
b
Let j = -114 - -1139/10. Let z = 327 + -4253/13. Which is the fourth smallest value? (a) -0.2 (b) j (c) z (d) 1/6
d
Let n be 3/((12 + -18)*1/(-6)). What is the second smallest value in -2/41, -3, n, 1?
-2/41
Let l = -2 + -1. Let f = 0.3 - 0.5. Let m(g) = -g**3 - 13*g**2 - 24*g - 2. Let t be m(-2). What is the third biggest value in t, f, l?
l
Let x = -0.25 - -0.05. Let j = -7.233 + 0.033. Let m = j + 4.2. Which is the second biggest value? (a) 5 (b) x (c) m
b
Let t = 0.05 - -0.01. Let r = 0.04 - t. Let m = 0.08 - r. What is the third biggest value in -3, m, 2/7?
-3
Let r = 6.15 - 0.15. Let g = -1 + r. What is the biggest value in g, 0, 0.1?
g
Let m = 8 - 14. Let z = m + 6.4. Let p = 861 + -860.7. Which is the third biggest value? (a) p (b) 1 (c) z
a
Let x be 1*(76/36 + -2). Suppose -44 = 4*m - 48. What is the second biggest value in x, m, 2/3, -2?
2/3
Let t = -779/6 - -259/2. Which is the second biggest value? (a) 28 (b) 3 (c) 4 (d) t
c
Let j be ((-44)/(-110))/(-1 + 14/10). Let o = 7 - 4. Let y = -8 + o. Which is the smallest value? (a) j (b) -2/13 (c) y
c
Let x = 19 + -17. Suppose s = -k - x*k - 5, 0 = k + 3. Which is the second biggest value? (a) -2 (b) s (c) -4
a
Let f = 1218 - 1218.4. Let x = 1 + -0.9. Let c be (-8)/30*10/12. What is the second smallest value in x, c, f?
c
Let g(m) = -15*m + 355. Let h be g(24). What is the smallest value in h, 1.48, -3/7?
h
Let k = -17 - -16. Let n = 107 - 109. Which is the third smallest value? (a) k (b) n (c) 1
c
Let s = -8.3823 + 0.1923. Let k = 8.2 + s. Which is the biggest value? (a) 2 (b) k (c) 4
c
Let r = 10 - 5.5. Let l = -4 + r. Let p = -92 - -91.9. Which is the third smallest value? (a) l (b) p (c) 4
c
Let y(j) = -j**2 + 42*j - 359. Let g be y(11). Which is the second smallest value? (a) -0.09 (b) 0.3 (c) g
a
Let d = -13 + 9. Let z be -6 + 272/36 + 4/(-18). What is the second biggest value in z, -0.3, -3, d?
-0.3
Let r be -2 - 0*3/(-9). Let a = -430 + 432. What is the second smallest value in -0.4, 0.3, r, a?
-0.4
Let n be ((-12)/96)/(3/((-12)/2)). What is the fourth biggest value in n, 0, 3/5, 2/7?
0
Suppose 2*x - 5*y - 15 = 10, -2*x - 3*y + 1 = 0. Suppose -17*z + x*z = 0. Which is the second smallest value? (a) -2/9 (b) -3/11 (c) z
a
Let u = 463 - 462.6. What is the second smallest value in 6, -3, u?
u
Let l = -0.0659 + 0.0659. Which is the third biggest value? (a) 1/8 (b) 10 (c) l
c
Suppose f - 1 = 5*x, -2*f + x - 17 - 8 = 0. Let q = f + 14. Suppose q = 3*r + 2*r. Which is the second biggest value? (a) -0.5 (b) -3/2 (c) r
a
Let o = -1.55 - -1.15. What is the second smallest value in 2/23, o, -2, 0.5?
o
Let a = 17/3 + -227/39. Let y = 2.381 - -2.619. What is the smallest value in -5, y, a?
-5
Let r = 4/701 + 685/2804. Let g = -3.1 + 2. Let f = g + 5.1. What is the biggest value in r, -2, f?
f
Let x = 0.64 + 90.36. Let s = 93 - x. Which is the second smallest value? (a) -1 (b) 0.1 (c) s (d) -9
a
Let z = -128/3 - -2170/51. Let y = -0.81 + -0.09. Which is the third smallest value? (a) 0.3 (b) y (c) z
a
Suppose 0 = 2*w - 7 + 3, 4*a + 5*w + 6 = 0. Let j be 0 - 0/a - 1/(-5). What is the smallest value in 2, 4, j, -5?
-5
Let g = -277 - -274. Which is the smallest value? (a) -2/17 (b) 1.5 (c) g (d) 3
c
Let i = -783 + 755. Suppose o + 9 = -15. Let z = i - o. What is the third biggest value in 1/11, -3, z?
z
Let p = -0.1261 | {
"pile_set_name": "DM Mathematics"
} |
g(k) = k**2 + 1. Let t(p) = 12*g(p) + s(p). Let y = -19 - -21. Let b(c) = 4*c - y*c - c. Determine b(t(d)).
2*d**2
Let x(b) = -35 + 35 - b + 0*b. Let r(c) = 42*c + 10. Let t(v) = -14*v - 3. Let m(w) = -6*r(w) - 20*t(w). Calculate x(m(a)).
-28*a
Let g(v) = -12744*v + 10. Let f(m) = -4*m. Calculate f(g(w)).
50976*w - 40
Let f(b) = 14*b - 9. Let c(s) = 3*s + 426. Give c(f(y)).
42*y + 399
Let a(j) = 668*j. Let m(y) = -213*y - 1. Determine a(m(t)).
-142284*t - 668
Let t(z) = 20*z**2. Let w(y) = 8*y + 55. Let x(h) = -2*h - 15. Let m(b) = -6*w(b) - 22*x(b). Calculate m(t(j)).
-80*j**2
Let i(o) = 0*o + 0*o - 5*o**2. Let t(m) be the second derivative of 3*m**3/2 - 3990*m. Calculate t(i(w)).
-45*w**2
Let c(t) be the first derivative of 13*t**3/3 - 6*t - 8. Let r(o) = -703*o**2 + 323. Let b(y) = 323*c(y) + 6*r(y). Let i(d) = -2*d**2. Determine b(i(w)).
-76*w**4
Let u(f) = 180*f + 1. Let y(m) = -126*m + 2. Give u(y(c)).
-22680*c + 361
Let s(x) = -2*x**2. Let h(a) be the second derivative of a**3/6 + 109*a. What is s(h(g))?
-2*g**2
Let o(c) = 19*c - 3. Let x(r) = -56*r + 10. Let p(m) = -10*o(m) - 3*x(m). Let v(u) = -u - 3. Let j(y) = -4*y - 14. Let q(t) = 3*j(t) - 14*v(t). What is p(q(z))?
-44*z
Let i(j) = -2*j**2 - 251*j - 90. Let u(m) = -6*m. What is u(i(w))?
12*w**2 + 1506*w + 540
Let r(q) = -398295*q**2. Let j(g) = -2*g. What is j(r(m))?
796590*m**2
Let j(o) = 2*o**2 + 3. Let h(a) be the third derivative of -7*a**4/24 - 38*a**2. Calculate j(h(v)).
98*v**2 + 3
Let s(i) = i**2. Let f(w) be the first derivative of 10*w**3/3 + 137. Calculate f(s(v)).
10*v**4
Let m(k) be the first derivative of 79*k**2/2 - k + 771. Let d(y) = 6*y. Determine d(m(t)).
474*t - 6
Let g(q) = 22092*q**2. Let f(i) = -26*i**2. Determine f(g(p)).
-12689468064*p**4
Let c(f) = -12*f**2 - 1. Let v(q) = -6830*q. Calculate v(c(k)).
81960*k**2 + 6830
Let n(i) = 2*i. Let u(c) = -38943*c**2 - c - 19. Calculate n(u(o)).
-77886*o**2 - 2*o - 38
Let a(f) = -2 - 2*f**2 + 2. Let j(u) be the second derivative of u**5/60 + 4*u**2 - 17*u. Let c(b) be the first derivative of j(b). Calculate a(c(w)).
-2*w**4
Suppose -9 = 3*b + 2*j + 3*j, -2*j - 2 = 2*b. Let k(i) = -6*i**2 - 12*i**b + 19*i**2. Let c(p) = -25*p. What is c(k(t))?
-25*t**2
Let n(b) = -159865*b. Let f(l) = 10*l. Give f(n(j)).
-1598650*j
Let f = -6 - -8. Let c(r) = -3*r + r**f + 3*r - 3*r**2. Let n(p) be the second derivative of 2*p**3/3 + 6*p. Give c(n(w)).
-32*w**2
Let z(t) be the first derivative of -t**2/2 - 114. Let j(r) = 62*r**2 + 7*r. Let p(m) = 21*m**2 + 2*m. Let x(d) = 2*j(d) - 7*p(d). Give z(x(o)).
23*o**2
Let h(m) = -m. Let p(c) = 3245*c**2 - 18*c. Determine p(h(a)).
3245*a**2 + 18*a
Let b(a) be the first derivative of -5 + 0*a**2 - 8/3*a**3 + 0*a. Let x(p) = 2*p**2. Determine x(b(y)).
128*y**4
Let t(g) = -1. Let w(a) = a**2 - a + 3. Let m(o) = 3*t(o) + w(o). Let b(s) = 25*s**2 - 30*s. Let p(z) = b(z) - 30*m(z). Let h(n) = 6*n**2. Give p(h(d)).
-180*d**4
Let o(u) = -2765*u. Let q(r) = -270*r. Give o(q(z)).
746550*z
Let c(b) = 12 + 12 - 36 + 12 - 20*b**2. Let z(a) = 7*a. What is c(z(j))?
-980*j**2
Let q(s) = 20*s + 38. Let m(o) = -11*o - 19. Let i = -123 - -134. Let r(x) = i*m(x) + 6*q(x). Let l(z) = z. What is r(l(v))?
-v + 19
Let w(g) = 1346*g. Let o(s) = 28*s + 1. Determine o(w(k)).
37688*k + 1
Let t(b) = 2*b**2. Let r(h) = -3833762*h. Give t(r(w)).
29395462145288*w**2
Let z(l) = -95*l + 2. Let o(b) = -349*b. Calculate o(z(m)).
33155*m - 698
Let d(o) = 2*o**2. Let h = -16 - -56. Let i(k) = -52 + 28 + 24 - h*k. Determine i(d(p)).
-80*p**2
Let x(t) = -24*t - 1. Let m(h) = 113*h - 3. What is x(m(d))?
-2712*d + 71
Let r(v) = 94240 - 94240 + 2*v**2. Let s(q) be the second derivative of -5*q**4/12 + 2*q. Determine r(s(c)).
50*c**4
Suppose 0 = -4*h - 0*h + m + 8, h = 2*m + 2. Let a(c) = -7*c**2 - 5*c**2 - 10*c**2 + 25*c**h. Let b(k) = 18*k**2. What is a(b(w))?
972*w**4
Let w(o) be the first derivative of -2*o**2 + 75. Let n(l) = -23*l. Calculate w(n(r)).
92*r
Let l(o) = 19*o**2. Suppose 6*t = 2*t - 4*t. Let a(q) be the third derivative of 1/12*q**4 + q**2 + 0 + 0*q**3 + t*q. What is l(a(m))?
76*m**2
Let s(x) = x. Let j = -21 - -21. Let b(u) = j - 5*u + 25*u + 0. Give s(b(g)).
20*g
Let d(h) = -41*h. Let u(o) = 6*o**2 + 11*o**2 - 18*o**2. What is u(d(f))?
-1681*f**2
Let z(p) = 238*p + 6 + 5 - 214*p - 5. Let d(t) = -2*t**2. Calculate d(z(b)).
-1152*b**2 - 576*b - 72
Let t(b) = -189*b**2 - 3*b. Let a(c) be the first derivative of -c**2 + 304. Calculate t(a(u)).
-756*u**2 + 6*u
Let o(p) = -2*p. Let d(l) = -449778*l. Calculate d(o(f)).
899556*f
Let r(v) = 4*v. Let s(j) be the first derivative of 8*j**3 - 534. Give s(r(u)).
384*u**2
Let o(d) = 2*d. Let x(k) = -23182*k. Let l(s) = -161*s. Let a(m) = 865*l(m) - 6*x(m). Calculate a(o(z)).
-346*z
Let k(m) = m**2 - m - 1. Let l(h) = -2*h**2 + 3*h + 3. Let t(u) = -3*k(u) - l(u). Let n(j) = 51*j**2 - j. What is t(n(b))?
-2601*b**4 + 102*b**3 - b**2
Let t(x) = x. Let j(a) = 3*a. Let h(v) = 2*j(v) - 7*t(v). Let q(m) = -44*m - 1. Give h(q(r)).
44*r + 1
Let k(b) = 3370*b. Let f(x) = -248*x. Give f(k(i)).
-835760*i
Let r(u) = 3*u**2. Let b(o) = o - 478. Calculate b(r(g)).
3*g**2 - 478
Let d(j) = -27*j. Let i(l) be the second derivative of -22*l + 1/6*l**3 + 0 + 0*l**2. What is i(d(y))?
-27*y
Let h(a) = -5*a. Let t(r) = 247292*r. Give t(h(u)).
-1236460*u
Let l(f) = -2*f**2. Let b(z) = z**3 - 8*z**2 + 7*z. Suppose 6*q - 4*q = 14. Let u be b(q). Let p(x) = u*x - 6*x + x + 4*x. Determine l(p(k)).
-2*k**2
Let k(x) be the third derivative of -x**4/12 - 2*x**2. Let i(a) be the second derivative of 0*a**2 + 2/3*a**3 + 0 - a. What is i(k(s))?
-8*s
Let m(h) be the second derivative of -h**3/2 + 64*h. Let p(z) = 79*z. Give p(m(r)).
-237*r
Let q(y) be the second derivative of -5*y**3 + 7*y. Let v(x) = 3*x. Let z(d) = 2*d. Let k(t) = -3*v(t) + 4*z(t). Give k(q(f)).
30*f
Let u(m) = 3138*m. Let p(o) = o**2. What is u(p(f))?
3138*f**2
Let z(t) = 56*t**2 - 784*t + 1. Let j(m) = -m. Determine z(j(r)).
56*r**2 + 784*r + 1
Let m(q) = 3*q**2. Suppose 2*g - 9 = y - 0*y, -4*g = 2*y - 22. Let k(j) = 56*j + 1. Let d be k(0). Let h(v) = 36*v - d - 47*v + y. What is h(m(t))?
-33*t**2
Let u(s) = -20*s**2 + 10*s + 12. Let r(i) = 19*i**2 - 8*i - 10. Let z(h) = -5*r(h) - 4*u(h). Let a(m) = 3*m**2. Calculate z(a(j)).
-135*j**4 + 2
Suppose -7*w - 121 = -142. Let x(h) be the third derivative of 0*h + 0*h**w - 8*h**2 + 1/12*h**4 + 0. Let v(g) = -2*g. Give x(v(y)).
-4*y
Let p(q) = 3*q. Let t(x) = -7*x**2 - 498*x. Calculate t(p(i)).
-63*i**2 - 1494*i
Let u(c) = -2*c**2. Let v(r) = -23*r + 65*r - 25*r - 14*r + 3*r**2. Calculate v(u(s)).
12*s**4 - 6*s**2
Let q(k) = -18110*k**2. Let b(j) = j. What is b(q(v))?
-18110*v**2
Let m(k) be the second derivative of -2*k**3/3 + 37*k. Let t(z) = -22*z**2. Give m(t(c)).
88*c**2
Let n(z) = -11*z**2 - 17*z - 17. Let v(u) = -2*u**2 - 3*u - 3. Let m(t) = -6*n(t) + 34*v(t). Let d(a) = 4*a**2. Determine d(m(f)).
16*f**4
Let s(t) = -3*t. Let k(o) be the third derivative of o**4/12 + 16*o**3/3 - o**2 - 52*o. Determine k(s(a)).
-6*a + 32
Let v(s) = -24*s**2 - 48*s. Let o(f) = -f. Let m(k) = -48*o(k) + v(k). Let c(j) be the second derivative of j**3/6 + 2*j. Give c(m(a)).
-24*a**2
Let j(b) = -2*b. Let r(q) = -152 + 416*q**2 - 175 + 327. Calculate j(r(u)).
-832*u**2
Let n(y) = 32*y**2. Let g(m) be the first derivative of m**5/30 + 19*m**2/2 - 18. Let f(z) be the second derivative of g(z). Give f(n(t)).
2048*t**4
Let p(f) = 161*f**2. Let d(r) = -r**2 + r. Let o(b) = -8*b**2 + 7*b. Let i(u) = -14*d(u) + 2*o(u). Calculate p(i(z)).
644*z**4
Let j(k) be the third derivative of -1/60*k**5 + 0*k**4 + 0*k - 32*k**2 + 0*k**3 + 0. Let f(o) = -o**2. What is j(f(l))?
-l**4
Let p(t) = 107922*t**2. Let w(j) = -5*j**2. What is w(p(s))?
-58235790420*s**4
Suppose 3*p = 3*c - 6, 2*c + p - 1 = -0. Let l(v) = v - 1. Let u(h) = 2*h**2 + 6*h - 6. Let t(b) = c*u(b) - 6*l(b). Let i(s) = s - s + s**2. Determine i(t(z)).
4*z**4
Let i(z) = -3*z. Let l(h) = -265529*h. Calculate l(i(f)).
796587*f
Let a(l) be the first derivative of -l**2 + 12 - 3 + 2*l**2 + 9. Let w(m) = 5*m. Determine a(w(q)).
10*q
Let m(r) = 147*r**2. Let p(j) = -250*j. Calculate p(m(s)).
-36750*s**2
Suppose 76 = 3*m - 4*d, -5*m = -2*d - 38 - 70. Let g(z) = 2*z - 19 | {
"pile_set_name": "DM Mathematics"
} |
ulate s.
-3, 0, 1
What is y in -y**2 - 7*y + 30 = 0?
-10, 3
Let -3*a**4 + 99*a**3 - 279*a**2 + 273*a - 90 = 0. What is a?
1, 30
Solve 54*r**5/5 + 108*r**4/5 + 72*r**3/5 + 16*r**2/5 = 0.
-2/3, 0
Factor 2*a**2 + 2*a - 144.
2*(a - 8)*(a + 9)
Factor 4*o**2 + 76*o + 312.
4*(o + 6)*(o + 13)
Suppose -3*l**3/4 - 9*l**2 + 81*l/4 - 21/2 = 0. Calculate l.
-14, 1
Determine p, given that -p**2/5 + 23*p - 114/5 = 0.
1, 114
Factor 3*o**5 - 21*o**4 - 198*o**3 - 438*o**2 - 381*o - 117.
3*(o - 13)*(o + 1)**3*(o + 3)
Factor -5*s**2 - 45*s + 50.
-5*(s - 1)*(s + 10)
Find k such that -2*k**5 - 20*k**4 - 64*k**3 - 52*k**2 + 66*k + 72 = 0.
-4, -3, -1, 1
Factor 2*b**5 + 134*b**4 - 556*b**3 + 844*b**2 - 566*b + 142.
2*(b - 1)**4*(b + 71)
Find k, given that -4*k**4 + 56*k**3 + 332*k**2 - 816*k + 432 = 0.
-6, 1, 18
Factor 5*y**3 - 695*y**2 + 4035*y - 5985.
5*(y - 133)*(y - 3)**2
Factor r**3/4 + 4*r**2 - 9*r - 144.
(r - 6)*(r + 6)*(r + 16)/4
Factor h**5/5 + 26*h**4/5 + 232*h**3/5 + 774*h**2/5 + 567*h/5.
h*(h + 1)*(h + 7)*(h + 9)**2/5
Find u, given that -6*u**2 + 490*u + 496 = 0.
-1, 248/3
Factor -2*g**4/3 - 342*g**3 - 2036*g**2 - 12184*g/3 - 2704.
-2*(g + 2)**3*(g + 507)/3
Factor -51*o**2 - 312*o - 36.
-3*(o + 6)*(17*o + 2)
Let 2*j**2 + 50*j = 0. What is j?
-25, 0
Factor -2*k**4/3 - 2*k**3 + 20*k**2/3.
-2*k**2*(k - 2)*(k + 5)/3
Solve -2*y**2/3 - 996*y - 372006 = 0 for y.
-747
Suppose 7*y**4 + 681*y**3 + 16315*y**2 - 12201*y - 4802 = 0. What is y?
-49, -2/7, 1
Factor w**3/2 + 131*w**2 + 259*w/2 - 261.
(w - 1)*(w + 2)*(w + 261)/2
Solve 4*c**5/17 + 10*c**4/17 - 44*c**3/17 - 96*c**2/17 + 72*c/17 + 54/17 = 0 for c.
-3, -1/2, 1, 3
Factor -2*u**3/9 + 2*u**2/9 + 4*u/3.
-2*u*(u - 3)*(u + 2)/9
Factor 5*n**2 + 1085*n + 3210.
5*(n + 3)*(n + 214)
Factor 4*m**2/5 + 68*m/5 - 48.
4*(m - 3)*(m + 20)/5
Determine g, given that -2*g**4 - 48*g**3 + 216*g**2 - 224*g = 0.
-28, 0, 2
What is l in 4*l**4/3 - 352*l**3/3 + 1280*l**2 - 14848*l/3 + 19456/3 = 0?
4, 76
Factor -2*c**2/7 - 148*c/7 - 80.
-2*(c + 4)*(c + 70)/7
Solve r**5 - 7*r**4 + 3*r**3 + 59*r**2 - 104*r + 48 = 0.
-3, 1, 4
Solve 3*m**2/4 - m/8 = 0.
0, 1/6
Determine m so that 45*m**5 + 145*m**4 - 645*m**3 + 615*m**2 - 100*m - 60 = 0.
-6, -2/9, 1
What is q in -q**2/4 + 25*q/4 - 6 = 0?
1, 24
Let 2*m**2/5 + 66*m - 668/5 = 0. Calculate m.
-167, 2
Solve 4*v**2 + 3992*v + 996004 = 0 for v.
-499
Solve 2*v**2/9 + 17180*v/9 + 36894050/9 = 0.
-4295
Let 6*r**3/11 - 276*r**2/11 + 4134*r/11 - 20280/11 = 0. Calculate r.
13, 20
Let 2*a**4/7 - 44*a**3/7 - 2*a**2/7 + 44*a/7 = 0. What is a?
-1, 0, 1, 22
Solve -5*s**5 - 375*s**4 + 1560*s**3 - 1580*s**2 = 0 for s.
-79, 0, 2
Suppose -i**3/7 - 78*i**2/7 + 499*i/7 - 60 = 0. What is i?
-84, 1, 5
Solve -574*q**3/9 + 764*q**2/3 + 962*q/3 + 20/9 = 0.
-1, -2/287, 5
Let -9*b**5/8 + 75*b**4/8 - 127*b**3/8 - 3*b**2/8 + 13*b/2 + 3/2 = 0. Calculate b.
-1/3, 1, 2, 6
Suppose -a**2/8 - 10*a - 200 = 0. What is a?
-40
Factor -2*r**2/5 - 1032*r/5.
-2*r*(r + 516)/5
Determine t, given that -t**2/2 - 1171*t/2 - 1752 = 0.
-1168, -3
Suppose 4*m**4 + 8*m**3 - 4*m**2 - 8*m = 0. What is m?
-2, -1, 0, 1
Find u such that -2*u**5/7 + 34*u**4/7 + 1166*u**3/7 + 3230*u**2/7 + 300*u = 0.
-15, -2, -1, 0, 35
Factor -j**2/5 + 1704*j/5.
-j*(j - 1704)/5
Solve 60*r**5 - 245*r**4 - 160*r**3 + 1095*r**2 - 90*r = 0 for r.
-2, 0, 1/12, 3
Find b such that 5*b**5 - 40*b**4 + 65*b**3 + 110*b**2 - 160*b - 160 = 0.
-1, 2, 4
Factor -5*s**3 + 285*s**2 - 2530*s.
-5*s*(s - 46)*(s - 11)
Factor b**2/3 + 9*b + 176/3.
(b + 11)*(b + 16)/3
Factor -q**3 + 19*q**2 - 87*q + 117.
-(q - 13)*(q - 3)**2
Find c, given that -2*c**5 + 6*c**4 - 4*c**3 = 0.
0, 1, 2
Solve -18*v**5/11 + 240*v**4/11 - 284*v**3/11 - 56*v**2/11 + 94*v/11 + 24/11 = 0.
-1/3, 1, 12
Factor -5*h**3 + 20*h**2 + 5*h - 20.
-5*(h - 4)*(h - 1)*(h + 1)
Determine x so that -3*x**5/5 + 39*x**4/5 + 306*x**3/5 + 654*x**2/5 + 561*x/5 + 171/5 = 0.
-3, -1, 19
Let -2*t**2 - 2846*t/3 + 1900/3 = 0. What is t?
-475, 2/3
Factor 8*y**3 - 44*y**2 - 80*y - 28.
4*(y - 7)*(y + 1)*(2*y + 1)
Factor -5*z**2 - 135*z - 460.
-5*(z + 4)*(z + 23)
Factor -2*l**2/15 + 10*l/3 - 76/5.
-2*(l - 19)*(l - 6)/15
Find z such that 3*z**2/4 + 123*z/2 + 540 = 0.
-72, -10
Find f such that 6*f**4/5 + 93*f**3/5 + 39*f**2/5 - 93*f/5 - 9 = 0.
-15, -1, -1/2, 1
Solve 4*c**2 - 872*c + 868 = 0.
1, 217
Factor -3*q**3 + 216*q**2 - 987*q - 1206.
-3*(q - 67)*(q - 6)*(q + 1)
Factor 4*a**3 + 60*a**2 + 264*a + 320.
4*(a + 2)*(a + 5)*(a + 8)
Determine p so that -55*p**4 - 90*p**3 + 95*p**2 + 90*p - 40 = 0.
-2, -1, 4/11, 1
Factor 2*c**3 + 31*c**2 + 40*c - 28.
(c + 2)*(c + 14)*(2*c - 1)
What is i in -i**4 + 2*i**3 + 292*i**2 + 574*i + 285 = 0?
-15, -1, 19
Factor 5*w**5 - 5*w**4 - 25*w**3 - 15*w**2.
5*w**2*(w - 3)*(w + 1)**2
Solve -35*l**4/4 + 545*l**3 - 10805*l**2/4 + 3720*l - 855 = 0.
2/7, 2, 3, 57
What is w in -2*w**2/7 - 808*w/7 - 81608/7 = 0?
-202
Factor -4*w**3 - 80*w**2 + 84*w.
-4*w*(w - 1)*(w + 21)
Factor 3*g**2/8 + 105*g/4 - 2133/8.
3*(g - 9)*(g + 79)/8
Suppose -5*c**4 + 140*c**3 - 1135*c**2 + 700*c + 16500 = 0. What is c?
-3, 10, 11
What is x in -196*x**5 - 252*x**4 + 332*x**3 + 108*x**2 + 8*x = 0?
-2, -1/7, 0, 1
Factor f**3/5 + 6*f**2/5 - 19*f/5 - 24/5.
(f - 3)*(f + 1)*(f + 8)/5
Determine z, given that -3*z**2 - 12*z - 12 = 0.
-2
Solve -2*x**4/3 + 12*x**3 - 26*x**2/3 - 48*x + 136/3 = 0 for x.
-2, 1, 2, 17
Determine t, given that -4*t**5/5 - 44*t**4/5 - 156*t**3/5 - 196*t**2/5 - 16*t = 0.
-5, -4, -1, 0
Factor 3*y**2/2 - 3*y/2 - 9.
3*(y - 3)*(y + 2)/2
Solve -t**3/3 + 44*t**2 + 45*t - 266/3 = 0 for t.
-2, 1, 133
Determine y so that y**3 - 65*y**2 - 66*y = 0.
-1, 0, 66
Factor -3*c**3 - 78*c**2 + 12*c + 312.
-3*(c - 2)*(c + 2)*(c + 26)
Find i such that i**3/4 - 7*i**2/2 - 8*i = 0.
-2, 0, 16
Factor 5*o**3 + 35*o**2 - 960*o + 3420.
5*(o - 6)**2*(o + 19)
Let -20*w**2 + 84*w - 16 = 0. Calculate w.
1/5, 4
Determine j so that -j**4 + 4*j**3 - 5*j**2 + 2*j = 0.
0, 1, 2
Factor 4*s**3/5 - 4*s**2 + 28*s/5 - 12/5.
4*(s - 3)*(s - 1)**2/5
Solve -c**5/3 + c**4 + 38*c**3/3 + 8*c**2 - 64*c/3 = 0 for c.
-4, -2, 0, 1, 8
Suppose -2*m**2/7 - 6*m/7 + 8 = 0. Calculate m.
-7, 4
Factor 6*d**3/5 + 8*d**2/5 - 98*d/5 + 12.
2*(d - 3)*(d + 5)*(3*d - 2)/5
Factor -4*n**2 + 57080*n - 203632900.
-4*(n - 7135)**2
Factor 9*l**3 + 7890*l**2 - 2631*l.
3*l*(l + 877)*(3*l - 1)
Find u, given that u**2/5 + 32*u/5 + 12 = 0.
-30, -2
Solve -x**3 - 147*x**2 + 148*x = 0 for x.
-148, 0, 1
Factor 3*j**3/4 - 1350*j**2 + 810000*j - 162000000.
3*(j - 600)**3/4
What is d in 20*d**3/13 - 378*d**2/13 + 322*d/13 + 36/13 = 0?
-1/10, 1, 18
Suppose -q**2/5 - 48*q/5 - 576/5 = 0. What is q?
-24
Let -7*n**4 + 9*n**3 + 5*n**2 - 9*n + 2 = 0. Calculate n.
-1, 2/7, 1
What is g in -2*g**4/7 - 2*g**3/7 + 4*g**2/7 = 0?
-2, 0, 1
Let 5*c**5/4 + 29*c**4/2 + 34*c**3 - 76*c**2 - 156*c + 72 = 0. What is c?
-6, -2, 2/5, 2
Determine i, given that 3*i**4 + 1470*i**3 + 7299*i**2 + 11652*i + 5820 = 0.
-485, -2, -1
Factor -5*h**3 - 35*h**2 - 35*h + 75.
-5*(h - 1)*(h + 3)*(h + 5)
Factor -4*b**2 + 72*b + 1120.
-4*(b - 28)*(b + 10)
Factor 3*g**2 - 870*g + 867.
3*(g - 289)*(g - 1)
Factor -6*i**2/13 - 70*i/13 + 24/13.
-2*(i + 12)*(3*i - 1)/13
Determine k, given that k**5/8 + 3*k**4/4 - 9*k**3/2 + 5*k**2 = 0.
-10, 0, 2
Let -8*b**5/7 - 160*b**4/7 - 554*b**3/7 - 694*b**2/7 - 356*b/7 - 64/7 = 0. Calculate b.
-16, -2, -1, -1/2
Determine w so that 28*w**3 + 804*w**2 - 232*w = 0.
-29, 0, 2/7
Suppose 8*b**5/9 - 68*b**4/9 - 16*b**3/3 + 104*b**2/9 + 40*b/9 - 4 = 0. Calculate b.
-1, 1/2, 1, 9
Factor 2*l**4/9 + 14*l**3/9 - 20*l**2/9 - 32*l/9.
2*l*(l - 2)*(l + 1)*(l + 8)/9
Suppose -5*r**4 - 10*r**3 = 0. What is r?
-2, 0
Let -35*c**4 - 200*c**3 + 95*c**2 + 200*c - 60 = 0. Calculate c.
-6, -1, 2/7, 1
Factor 33895575246*a**4 - 11241429784*a**3 - 18999708*a**2 - 10680*a - 2.
2*(3*a - 1)*(1781*a + 1)**3
What is h in 217*h**5 + 954*h**4 + 1426*h**3 + 852*h**2 + 157*h - 6 = 0?
-2, -1, -3/7, 1/31
Let -3*w**5 + 97*w**4/7 - 75*w**3/7 - 15*w**2 + 76*w/7 - 12/7 = 0. Calculate w.
-1, 2/7, 1/3, 2, 3
Factor -4*i**2 + 10244*i + 20504.
-4*(i - 2563)*(i + 2)
Factor g**5/4 + 21*g**4/2 + 41*g**3/4.
g**3*(g + 1)*(g + 41)/4
Factor -2500*x**3 - 17650*x**2 - 4209*x/4 - 63/4.
-(x + 7)*(100*x + 3)**2/4
Factor -10*r**3 + 615*r**2 - 890*r - 600.
-5*(r - 60)*(r - 2)*(2*r + 1)
Deter | {
"pile_set_name": "DM Mathematics"
} |
548 - 19*r**2 - 548.
-19*r**2
Collect the terms in -5*n**2 - 31 + 62 - 31.
-5*n**2
Collect the terms in -13987 + 13987 + 9*l**2.
9*l**2
Collect the terms in 1518*l**2 - 2 + 2.
1518*l**2
Collect the terms in -24*o**2 + 2*o**3 + 17*o**2 - 9*o + 9*o.
2*o**3 - 7*o**2
Collect the terms in 4*l**2 - 4*l**2 + 0*l**2 + 50 - 3*l**2.
-3*l**2 + 50
Collect the terms in -310*a**3 - 10*a**3 - 194*a**3.
-514*a**3
Collect the terms in 10*g**2 - 6*g**2 - g**2 - 5*g**2.
-2*g**2
Collect the terms in -4*v**2 - 8*v**2 + 25*v**2.
13*v**2
Collect the terms in -12*u + 3*u + 5*u + 4*u + 27*u**2.
27*u**2
Collect the terms in 7*b + 42 - 7*b + 2*b**2.
2*b**2 + 42
Collect the terms in -25*s**2 - s + s + 17*s**2 + 9*s**2.
s**2
Collect the terms in 30 - 30 + 8*u**3 + 9*u**3.
17*u**3
Collect the terms in -2 + 25 - 13 + 20 - a.
-a + 30
Collect the terms in 3*u + 28 + 20 + 27 - 75.
3*u
Collect the terms in -7*l - 5 + 2*l + 3 + 0.
-5*l - 2
Collect the terms in 643*b**2 + 30*b - 30*b - 641*b**2.
2*b**2
Collect the terms in 24*i**2 - 27*i**2 + 6*i**2.
3*i**2
Collect the terms in -5*n**3 + 15*n**3 - 13*n**3.
-3*n**3
Collect the terms in -19*u**2 + 0*u**2 + 3*u**2.
-16*u**2
Collect the terms in 11*x + 7*x - 20*x.
-2*x
Collect the terms in 2*q**2 - 1585 + 3169 - 1584.
2*q**2
Collect the terms in 771*x + x**3 + x**3 + 433*x + 0*x**3.
2*x**3 + 1204*x
Collect the terms in 26*h - 15*h + 7*h.
18*h
Collect the terms in 2*p**2 + 9*p**2 + p**2 - p**2.
11*p**2
Collect the terms in -n**2 - 5*n**2 - 7*n**2 + 14*n**2.
n**2
Collect the terms in 13*w**2 + 11*w**2 - 8*w**2 + 6*w**2.
22*w**2
Collect the terms in 135 - 5*a - 135.
-5*a
Collect the terms in -2898 + 2898 + 25*p.
25*p
Collect the terms in -s**3 - 30*s - 38*s - 29*s + 97*s.
-s**3
Collect the terms in -k**3 - 9081 + 9081 + 0*k**3.
-k**3
Collect the terms in 43*a**2 - 7*a**2 + 8*a**2 - a.
44*a**2 - a
Collect the terms in -113462*r**2 - 9*r**3 + 113462*r**2.
-9*r**3
Collect the terms in 17*z**3 + 30*z**3 + 8*z**3 - z - 11*z**3.
44*z**3 - z
Collect the terms in 915*u - 450*u - 463*u.
2*u
Collect the terms in -237*b**3 + 478*b**3 - 242*b**3.
-b**3
Collect the terms in -44*j - 76 + 159 - 83.
-44*j
Collect the terms in -11 - 4*l + 26 - 4 - 11.
-4*l
Collect the terms in 4*t**2 - 7*t**2 - 7*t**2.
-10*t**2
Collect the terms in 3*x**2 + 2 - 6 - 2*x**2 - 3*x**2.
-2*x**2 - 4
Collect the terms in 3*m**2 + 3*m**3 - 3*m**2 - 14*m**3.
-11*m**3
Collect the terms in 9*q**3 - 7 + 7.
9*q**3
Collect the terms in 2*o + 3 + 0*o - 3.
2*o
Collect the terms in 33*n + 63*n - 26*n.
70*n
Collect the terms in -28*y**2 + 15*y**2 + 29*y**2.
16*y**2
Collect the terms in 20*l + 20*l - 5*l + 14*l.
49*l
Collect the terms in -117*q + 2 - 2 + 99*q.
-18*q
Collect the terms in -3*t**2 - 9*t**2 + 9*t**2.
-3*t**2
Collect the terms in 241*i**3 - 489*i**3 + 245*i**3.
-3*i**3
Collect the terms in 39 + 12*p**2 - 39.
12*p**2
Collect the terms in 5 - 2 - 4 + 55*j**3 - 19*j**3.
36*j**3 - 1
Collect the terms in a**2 - 6*a**2 + 15*a**2 - 7*a**2.
3*a**2
Collect the terms in -565 - 2*i - 567 + 1132.
-2*i
Collect the terms in -1 - 57*t - 40*t - 35*t.
-132*t - 1
Collect the terms in -273*k**3 + 152*k**3 + 133*k**3.
12*k**3
Collect the terms in 1409*x**3 - 2819*x**3 + 1416*x**3.
6*x**3
Collect the terms in -3*o**2 - 4*o**2 + 5*o**2 - 3*o**2.
-5*o**2
Collect the terms in 32*l - 57*l - 7*l.
-32*l
Collect the terms in 6*s - 5*s - 4*s + s.
-2*s
Collect the terms in -103*h**2 - 108*h**2 + 212*h**2.
h**2
Collect the terms in -6*r**3 + 0*r**2 - 10*r**2 + 10*r**2.
-6*r**3
Collect the terms in -41*z**2 + 33*z**2 - 215*z + 215*z.
-8*z**2
Collect the terms in a**3 - 7551 + 7551.
a**3
Collect the terms in 19*n**3 + n - 10*n + 19*n**3 - 45*n**3.
-7*n**3 - 9*n
Collect the terms in 1 - 6 + 14*c + 3.
14*c - 2
Collect the terms in -46*l**2 + 933 - 933.
-46*l**2
Collect the terms in 5*i + 96 - 96 - 2*i.
3*i
Collect the terms in 2*k - 2*k - 8*k + 9*k + 37*k**3.
37*k**3 + k
Collect the terms in 24*y**2 + 23*y**2 - 49*y**2 + 63*y - 63*y.
-2*y**2
Collect the terms in 2*f**3 + 237*f - 237*f.
2*f**3
Collect the terms in -10*t + 6*t + 0*t + t**2 + 4*t.
t**2
Collect the terms in 93*t - 140*t + 79*t.
32*t
Collect the terms in 20*l**2 - 49*l**2 + 24*l**2.
-5*l**2
Collect the terms in 266 - 266 - 4*m**2.
-4*m**2
Collect the terms in 293*n + 161*n - 5*n.
449*n
Collect the terms in 20 - 1 - 1 + 21*s + 6.
21*s + 24
Collect the terms in -8*d - 2*d + 4*d - 2*d - 2*d**2.
-2*d**2 - 8*d
Collect the terms in -142*z**2 + 56*z**2 - 153*z**2.
-239*z**2
Collect the terms in 0*r - r - 48*r**2 + r.
-48*r**2
Collect the terms in -2 - 27*n + 21*n + 2.
-6*n
Collect the terms in -1043*g + 518*g + 522*g.
-3*g
Collect the terms in -20 + 8 - g**3 + 12.
-g**3
Collect the terms in 1209636 - 1209636 - 2*m + 2*m + 2*m**2.
2*m**2
Collect the terms in 34*k**2 - 227*k**2 - 81*k**2 - 344*k**2.
-618*k**2
Collect the terms in -10*b**2 - 6*b**2 + 8*b**2.
-8*b**2
Collect the terms in -42*f**2 + 13*f**2 + 17*f**2 + 11*f**2.
-f**2
Collect the terms in 18*a + 18*a - 39*a.
-3*a
Collect the terms in 18541*c - 6*c**2 - 18541*c.
-6*c**2
Collect the terms in 1 - 9*i - 17*i - 1.
-26*i
Collect the terms in -16*h + 26*h - 15*h - 10*h.
-15*h
Collect the terms in 310 - 310 - 3*r**3.
-3*r**3
Collect the terms in 3*b + 37*b**2 - 3*b - 33*b**2.
4*b**2
Collect the terms in 728 + 2*k**3 - 728.
2*k**3
Collect the terms in -5 + 5 - 5*x**2 + 4*x**2.
-x**2
Collect the terms in 9*b + 979*b**2 - 985*b**2 - 9*b.
-6*b**2
Collect the terms in 1074*w**3 - 10*w + 10*w.
1074*w**3
Collect the terms in 19*j**2 - 39*j**2 + 6*j**2.
-14*j**2
Collect the terms in -833 - 2*b + 833 - b.
-3*b
Collect the terms in 69*g**3 + 72*g**3 + 73*g**3 + 66*g**3 - 281*g**3.
-g**3
Collect the terms in 10*o**2 - 25*o**2 + 4*o**2 + 8*o**2.
-3*o**2
Collect the terms in -8 + 9 + 4*c - 1.
4*c
Collect the terms in -l + 0*l + 2*l - 29.
l - 29
Collect the terms in 10 - 5 + 3*y**3 - 5.
3*y**3
Collect the terms in 281 - 281 + 14*q**3 + 2*q**3.
16*q**3
Collect the terms in 6*y - 4*y + 0*y + 6*y.
8*y
Collect the terms in 2*b**2 + 7*b**2 - 3*b**2 - 3*b**2.
3*b**2
Collect the terms in -79*k + 6*k - 30*k.
-103*k
Collect the terms in 3*c**2 + c**2 - 8*c**2.
-4*c**2
Collect the terms in -252*r + 520*r - 265*r.
3*r
Collect the terms in 6*d**3 + 18*d**3 - d**2 + 15*d**3.
39*d**3 - d**2
Collect the terms in -2260*a - 2252*a + 9019*a - 2252*a - 2253*a.
2*a
Collect the terms in 118*p**3 + 11*p - 10*p + 13*p.
118*p**3 + 14*p
Collect the terms in -4*u**2 + 5*u**2 + 8*u**2 - 7*u**2.
2*u**2
Collect the terms in 4*h + 14*h**2 - h**2 - 12*h + 8*h.
13*h**2
Collect the terms in 7*v**2 + 7*v**2 - 15*v**2.
-v**2
Collect the terms in 73*l - 29*l - 46*l.
-2*l
Collect the terms in -7*c**2 + 2244*c - 2244*c.
-7*c**2
Collect the terms in 11*r**3 - r**2 - 15*r**3 - 3*r**2 + 13*r**3.
9*r**3 - 4*r**2
Collect the terms in -16*u**2 - 42*u**2 + 9*u**2.
-49*u**2
Collect the terms in 0 + 29*m**2 - 27*m**2 + 33.
2*m**2 + 33
Collect the terms in 2*d**2 + 12*d**2 - 26*d**2 + 3*d**2 + 7*d**2.
-2*d**2
Collect the terms in -3*j + 7*j + 2*j**2 + 10*j - 2*j.
2*j**2 + 12*j
Collect the terms in -2*b**3 - 161*b - 20*b + 8*b + 0*b**3.
-2*b**3 - 173*b
Collect the terms in 0*w + 0 - 7*w + 0 - 2*w**2.
-2*w**2 - 7*w
Collect the terms in 90 - 22*t - 90.
-22*t
Collect the terms in -2*d**2 + 1819 - 1819.
-2*d**2
Collect the terms in 107*r**3 + 147*r**3 + 5*r**3 - 28*r**3.
231*r**3
Collect the terms in 4*w**3 + w**3 - 6*w**3 + 2*w**3.
w**3
Collect the terms in -5*n**2 + 17*n**2 + 7 - 13*n**2.
-n**2 + 7
Collect the terms in -47*f**3 + 3*f**3 + 20*f**2 - 20*f**2.
-44*f**3
Collect the terms in 36 - 3*n**2 + n**3 + 0*n**3 + 3*n**2.
n**3 + 36
Collect the terms in 88*w**2 + 83*w**2 - 186*w**2.
-15*w**2
Collect the terms in 80*l**2 - 145*l**2 + 63*l**2.
-2*l**2
Collect the terms in -250*j**3 + 553*j**3 + 628*j**3.
931*j**3
Collect the terms in 27*f**3 + 9*f**3 - 22 + 21 + 28*f**3.
64*f**3 - 1
Collect the terms in 26*t**2 - 70*t**2 + 26*t**2 + 22*t**2.
4*t**2
Collect the terms in 0 + 4 - 1 - 55*t.
-55*t + 3
Collect the terms in 43*z**3 - 129*z**3 + 87*z**3.
z**3
Collect the terms in 5*f + 2348 - 2348 - 4*f - 2*f.
-f
Collect the terms in 321 - 633 - 6*g**3 + 312.
-6*g**3
Collect the terms in 3*u**3 - 4*u**3 + u**3 - u**3.
-u**3
Collect the terms in 7*o - 14*o - 57*o**3 + 7* | {
"pile_set_name": "DM Mathematics"
} |
- 1775 = 3*z, -1207 = 4*x - 5*z - 4762. What is the remainder when x is divided by 28?
27
Let h = 122 + -51. What is the remainder when h is divided by 24?
23
Let c = 20 - -3. Let o(s) = -s**3 - 1. Let m(b) = 7*b**3 - 6*b**2 + b + 18. Let j(q) = -m(q) - 6*o(q). What is the remainder when c is divided by j(5)?
7
Suppose -6*g + 3*g - 48 = -4*p, -4*p + 5*g + 48 = 0. Calculate the remainder when 23 is divided by p + 10/(-4)*12/(-30).
10
Suppose -44*q + 46*q - 1587 = -5*d, 3*d - 2*q = 965. Calculate the remainder when d is divided by 81.
76
Let i = -51 - -56. Let f(s) = s**3 + 2*s**2 - 6*s + 3. Calculate the remainder when f(i) is divided by 30.
28
Let j(x) = 16*x + 2. Calculate the remainder when j(2) is divided by 24.
10
Suppose -42 = -t - 25. Calculate the remainder when 228 is divided by t.
7
Let h(g) = 2*g - 3. Let k be h(4). Let i = 10 - k. Suppose i*f + 4*r - 100 = -0*f, 3*f - r = 43. What is the remainder when 47 is divided by f?
15
Let v(j) = j**3 - 7*j**2 + 13*j - 3. Let t = 1 + 5. Let r be v(t). Let n = 108 - r. What is the remainder when n is divided by 35?
34
Let b = 121 + -114. Let x = 13 - -19. Calculate the remainder when x is divided by b.
4
Let i(m) = m**3 + 21*m**2 - 2*m - 22. What is the remainder when 12/(-8)*-2*79/3 is divided by i(-21)?
19
Suppose 104*a - 109*a + 20 = 0. Suppose -a*l - 9 = -5*l. What is the remainder when 24 is divided by l?
6
Calculate the remainder when 15750/147 - 32/28 is divided by 66.
40
Let x = 1481 - 1418. What is the remainder when x is divided by 37?
26
Let k = 34 - 27. Suppose -k*i + 79 = -12. Calculate the remainder when 23 is divided by i.
10
Calculate the remainder when 488 is divided by 286/8 - 3/4.
33
Suppose -4*r - 200 = -14*r. What is the remainder when r is divided by 7?
6
Let h = 30 - 26. Let y = -8 - -15. What is the remainder when y is divided by h?
3
Suppose 0 = 2*c - m - 50, 2*c - 4*m - 41 = 3. Suppose -4*t + 16 = 4*d - 2*d, -5*d = 2*t - 64. Calculate the remainder when c is divided by d.
12
Suppose 0 = 2*n + n - 96. Let r = -29 + n. What is the remainder when 161/r - (-7)/21 is divided by 19?
16
Let t be 36/(-45)*(-1990)/(-4). Let u be 8/16 - t/4. Suppose 7*o = 2*o + u. What is the remainder when 39 is divided by o?
19
Let s(i) = 4*i**2 - i. Let v be s(-1). Suppose -4*r = -v*r - 360. Calculate the remainder when 31 is divided by r/(-32) + (-1)/4.
9
Suppose 2*c + 8 = 0, d = -3*d + c + 32. Calculate the remainder when 45 is divided by d.
3
Suppose 10*w = -5114 + 19594. Calculate the remainder when w is divided by 5.
3
Suppose -4*h = -3*h + 2*j - 4, -2*h + 4*j = -40. Suppose -2*b = -5*w + 133 - 14, 0 = 5*w + 3*b - 109. Calculate the remainder when w is divided by h.
11
Suppose 14 + 2 = 2*r. Suppose 0 = -0*g - 4*g + r. Suppose -4*b - b = g*f - 75, -5*b + 45 = -4*f. What is the remainder when 51 is divided by b?
12
Suppose 4*v - 11100 = -v - 5*g, 3*v - 5*g = 6660. What is the remainder when v is divided by 101?
99
Let o(n) = 93*n**2 - 2*n - 1. What is the remainder when o(-1) is divided by (1 + (-9 - 0))*(-39 + 37)?
14
Let q = 2543 + -2455. Calculate the remainder when q is divided by 23.
19
Let x = 64 - 32. Let t = x - 11. What is the remainder when 61 is divided by t?
19
Suppose 6*h = h. Suppose 3 = -3*q - 12, -3*r + 2*q + 25 = h. Suppose r + 11 = j. Calculate the remainder when j is divided by 5.
1
Let j(r) = 42*r**2 + r + 1. Let w = -32 + 31. Calculate the remainder when j(w) is divided by 11.
9
Suppose 0 = 107*i - 110*i + 39. Calculate the remainder when 2129 is divided by i.
10
Let f(g) = -5*g - 9. Suppose 16*x + 54 = -10. What is the remainder when 106 is divided by f(x)?
7
Let k = -35 + 60. Let u = -23 + k. Suppose 0 = -u*a + 5*a - 66. What is the remainder when a is divided by 8?
6
Let j = -37 + 40. Let t(b) = 13*b - 1. Let f = 14 + -1. What is the remainder when t(j) is divided by f?
12
Suppose -4*x + 42 = -4*b + 5*b, 0 = 5*b + 4*x - 162. What is the remainder when 46 is divided by b?
16
Suppose -r - 5 = -4. Let x(a) = 4*a**2 - 1. Calculate the remainder when 15 is divided by x(r).
0
Let k(z) be the third derivative of 17*z**4/12 - z**3/3 + 7*z**2. Calculate the remainder when k(1) is divided by 11.
10
Let r(l) = l**2 + 2*l + 3. What is the remainder when 10 - (-30)/(-5) - (11 - 31) is divided by r(-4)?
2
Let r = 1111 + -1081. What is the remainder when r is divided by 16?
14
Suppose -5*s - 18 - 12 = 0. Let m be (-1)/(19/s + 3). Suppose m = -a + 29. What is the remainder when a is divided by 8?
7
Suppose 0 = -0*k + 4*k - 2*r - 54, -3*r = -3. Let m(s) = -11*s + 41. What is the remainder when m(0) is divided by k?
13
What is the remainder when 8 is divided by 20/(12 - (-76)/(-8))?
0
Suppose 5*p - 4*p = 0. Suppose -5*q = -25, -3*q = 2*s - 4*q + 9. What is the remainder when s - (0 - 33) - p is divided by 11?
9
Let q = -6 + 54. Calculate the remainder when 285 is divided by q.
45
Suppose k = 11*k - 90. Calculate the remainder when 4/(19/17 + -1) is divided by k.
7
Suppose t + 25 = 118. What is the remainder when 284 is divided by t?
5
Let j(t) = 37*t**3 - t**2 + 4*t - 2. Let f be j(1). Suppose z = 2*z + 27. Let o = z + f. What is the remainder when 32 is divided by o?
10
Let l = 0 - -66. Let u(y) = -10*y - 5. Let j be u(-7). Suppose -3*f - 7 = -t - 78, -3*f = 2*t - j. Calculate the remainder when l is divided by f.
20
What is the remainder when 260/(-78)*(-38 - 1) is divided by 38?
16
Let t(k) be the first derivative of k**4/4 + 2*k**3 - 3*k**2/2 + 5*k - 1. What is the remainder when 3/(-3) - 11/((-44)/268) is divided by t(-6)?
20
Suppose -5*z - 97 = -4*b, 4*b - 4*z = -0*z + 92. Let u(k) = -k**2 + 7*k + 8. What is the remainder when u(6) is divided by 156/b + -3 + 2/6?
2
What is the remainder when (0 - -1)/((-605)/(-151) + -4) is divided by 76?
75
Let y(d) = -d**3 + 6*d**2 - 23*d + 166. Calculate the remainder when 102 is divided by y(6).
18
Let u be 2/((-9)/18 - 2/(-8)). What is the remainder when u/((-4)/(-114)*-3) is divided by 40?
36
Let q(n) = 17*n - 5*n**2 - 8 + 4*n**2 - 5*n. Let j = -3 - -12. What is the remainder when q(j) is divided by 11?
8
Let l(q) = 2*q**2 + 23*q + 25. Let c be (-7 + 1)*64/(-6). Suppose -2*k - c = -3*a, -5*k + 19 + 31 = 3*a. What is the remainder when l(-12) is divided by a?
17
Suppose -67*l + 25 = -62*l. Let r = 31 - 18. Suppose 12 = -3*s, r + 18 = 3*o - s. What is the remainder when o is divided by l?
4
Suppose 5*o - o = 32. Let r be (354/8)/((-1)/o). What is the remainder when r/(-10) - (-6)/(-15) is divided by 18?
17
Suppose 53 = 2*q + 3*f - 10, f = -4*q + 131. Suppose 7424 = -4*i + 62*i. Calculate the remainder when i is divided by q.
29
What is the remainder when (1 + -185)*((-10)/(-4))/(-5) is divided by 41?
10
Suppose -46*n = -51*n - 360. Calculate the remainder when 28 is divided by (-16)/n + (-426)/(-27).
12
Let v(p) = -p**3 - 22*p**2 + 25*p + 52. Let u = 6 + -2. Calculate the remainder when (-573)/(-27) - u/18 is divided by v(-23).
3
What is the remainder when (-20)/(-15) - 352/(-6) is divided by 14?
4
Suppose -13*i + 10 = -55. Suppose -19 = -4*b + 3*b. What is the remainder when b is divided by i?
4
Let w be -3*-5*1/3. Suppose -7*b - 82 = -t - 6*b, 5*t = -w*b + 420. What is the remainder when t is divided by 43?
40
Suppose -234 - 46 = -4*x. Let w(n) = n**2 + 9*n - 10. Let q(s) = -4*s**2 + 6*s + 7. Let p be q(3). Calculate the remainder when x is divided by w(p).
10
Calculate the remainder when 46 is divided by 366/27 + 80/180.
4
Calculate the remainder when 177 is divided by 64/80 + (-648)/(-15) + -1.
5
Suppose -5*v = -4*n - n - 260, 0 = -n - 4. Calculate the remainder when 82 is divided by v.
34
Let j(w) = -91*w - 4727. Suppose -4*y - 17 = -133. What is the remainder when y is divided by j(-52)?
4
Calculate the remainder when 14*10*(33 - 32) is divided by 29.
24
Let w(r) = -r**3 + 10*r**2 - 17*r + 11. Let a be w(8). Suppose -3*i + 4*p = 5*p - 259, 5*p = -a*i + 275. What is the remainder when i is divided by 33?
19
Calculate the remainder when 387 is divided by (-22)/(-12) - -3 - (-5)/30.
2
Let g(i) = 6*i**2 + 35*i - 29. Let j(o) = o**2 + 7*o - 6. Let m(p) = -2*g(p) + 11*j(p). Suppose -b + 11 = -0. What is the remainder when b is divided by m(3)?
3
Let i(g) = -g + 1. Let u(j) = 10*j + 72. Let s(r) = 6*i(r) + u(r). Suppose 0 = d + d - 54. | {
"pile_set_name": "DM Mathematics"
} |
5*g + 40 = -l*w. Solve a + c - g = -0*c, 2*a - 4 = c for a.
3
Let w = -309 - -320. Solve 32*r = -o + 35*r - 8, -5*o + w = 2*r for o.
1
Suppose 0 = -2*q + u + 4, -24 = -q - 3*q - 2*u. Solve 8*c - q*c - 22 = 5*s, s = c - 5 for c.
3
Let p(r) = -r**3 + r**2 + 49*r - 46. Let w be p(7). Solve -3*i + 2*a + 6 + w = 0, -2*a - 8 = -2*i for i.
1
Suppose 156 = 219*v - 702 - 18. Solve -v*u - 3*c + 28 = 0, 4*u - 15 = -c + 5 for u.
4
Let l = -76 + -86. Let o be l/(-243) + (0 - 40/(-3)). Solve -3*q + 5 = -0*q + 4*z, 0 = 3*q - 5*z - o for q.
3
Suppose -2*h - 2 = 2. Let u be h/((-4)/10) - 4/4. Suppose -f = u*f - 35. Solve 2*z = 8, -z + 2 = p - f for p.
5
Let g = 6458 + -6442. Solve 3*q - 21 = -3*x, 18*q - g*q = 3*x - 11 for x.
5
Let m(i) = -i**2 - 4*i. Let l be m(-4). Suppose l = -2*x + 12. Suppose 0 = -d + x*d - 5. Solve -24 = 4*g - 2*y, g + 2*y - d = -y for g.
-5
Suppose 4*y - 25 = -y. Let n be ((-9)/3 + 11 - -1)*20. Suppose 13*l + 32*l - n = 0. Solve -l*m = -2*m - 4*p - 14, -y*p - 13 = -m for m.
3
Let g be 9*((-248)/18 + 14). Solve 0 = -3*i - 0*i - 3*n - 12, -g*n = -5*i - 6 for i.
-2
Let m(k) = k**2 - 3*k - 6. Let t be m(5). Let z(i) = 3*i + 11. Suppose 13*v + 46 = 85. Let f be z(v). Solve d - 3*y - 23 = 3*d, t*y = -f for d.
-4
Let k = -906 - -908. Let o = -58 + 61. Solve z - 4 = -k*t - 13, -o*z = t + 2 for z.
1
Let o be ((-30)/105)/((-2)/77) - -8. Solve -4*s - 5*a - 9 = 26, 2*s = -3*a - o for s.
-5
Suppose -5*a = 301*p - 306*p - 30, 5*p = -15. Solve a*g + 2*c - 6*c = 17, 4*g = c + 1 for g.
-1
Suppose -147 = 11*j - 60*j. Solve -5*y + 2*t = 54 - 48, 2*y = -j*t + 9 for y.
0
Suppose -2*f - 34 = h, 0 = h - 3*f + 4*f + 30. Let w = 29 + h. Solve -y = -2*y + 4*z - 19, -w*z = 4*y for y.
-3
Let n be (-28)/(-6)*(-1 + 44/11). Let y(h) = -6*h + 86. Let u be y(n). Solve 2*r + u = 0, 3*v = v - r - 5 for v.
-2
Let f(y) = -y**3 + 19*y**2 + 50*y - 596. Let s be f(20). Solve -3*m + 9 = -s*k + 7*k, 4*m - k = 22 for m.
5
Suppose -i = 3*h - 20, 12 = 3*h - 2*h - 5*i. Suppose 0*t + 3*z = 3*t + 6, 4*t + 4*z = 32. Let j = 4 - 1. Solve -t*c = 5*g + 18, c + c - j*g - h = 0 for c.
-1
Let o(t) = 2*t - 10. Let p be o(5). Suppose 10 + p = 5*x. Suppose 6 = 2*v - 3*f + x, v - 2 = f. Solve q - v*u - 3 = 0, 4*q - 4*u - 2 = -6 for q.
-5
Let c be (-4000)/(-750) + (-2)/6. Solve m = -d + 1, -2*d + 3 = -c*d for m.
2
Suppose 3 = -3*c - 3, 3*j - 2*c = 13. Suppose j*a - 62 + 107 = 0. Let y be (2 + 25/a)*6. Solve -3*o = -2*b - y*b + 6, 1 = -o + b for o.
2
Suppose 4*f = 4*r - 964, r + f = -3*r + 969. Let y = -238 + r. Solve i = y*h + 20, -2*i = 5*h - 0*i + 12 for h.
-4
Let p = -29345 + 29350. Solve -15 = 5*c - p*h, -4*h + 124 = 5*c + 103 for c.
1
Let k(q) = 3*q + 2. Let j be k(-2). Let m be 38/8 - j/16. Suppose -3*h - 11 = -m*l, 5 = h + 2. Solve -3*u - p = 5, 0 = -l*p + 3 + 1 for u.
-2
Let s(w) = 6*w**2 + 390*w - 396. Let o be s(-66). Solve 2 = m - 3*j, o = 15*m - 20*m - j - 22 for m.
-4
Let y(q) = 31*q + 376. Let m be y(-12). Solve -27*s + 8 = 5*u - 23*s, -u = -2*s + m for u.
0
Suppose -194*p = -12*p - 182. Solve -2*i = -4*a + 18, -2 = -a - i + p for a.
4
Let l = 2148 + -2145. Solve -4*q - 2*n = -l*n + 7, 4*n = -q + 11 for q.
-1
Let j = 387 + -308. Suppose 6*l + 79 = j. Solve -22 = -4*g + 2*d - l*d, g + 17 = -4*d for g.
3
Let s = -269 - -270. Let x(t) = 12*t - 8. Let h be x(s). Solve -g + h = -3*f, -5*g - 3*f - 16 = -0*g for g.
-2
Let u = -1337 - -1881. Suppose 0 = -u*r + 539*r. Let w = 21 - 2. Solve -5*l + w = 4*q, r*q - q - 5 = -2*l for l.
3
Let f be (33/(-45) - 6/(-15))*0. Suppose f = 6*t - 3*t - 15. Suppose -5*x - 5*j = 15, -3*j = -t*x - 5*j. Solve -4*d + 6 = -2*g, 0 = -x*g + d + d for g.
3
Let f = -178 + 183. Let q be (-4)/(4/3) + f. Solve 0 = 5*p - 0*z + 4*z + 28, -8 = 3*p - q*z for p.
-4
Let w = 1169 - 1153. Solve -i + 5*n = -w, -2*i + 0*n + 2*n + 16 = 0 for i.
6
Suppose -2*c - 5*k + 201 = 0, -15*k + 102 = c - 13*k. Solve 14 = -4*v + c*d - 110*d, 4*d + 3 = -3*v for v.
-5
Let m = -73 - -181. Suppose 107*t + 4 = m*t. Solve -f = f + 4*u - 10, -3*u + 5 = t*f for f.
-1
Suppose -2*k + 36 = 4*g, k = -4*g + 9*g - 10. Solve 0 = 5*d + 3*o - 6*o - 30, -2*o = k for d.
3
Let x be (-22)/8 - ((-171)/36 + 5). Let v be x/(-2) - 28/(-8). Solve -z + 4 = 4*n, -v*n + 2*n - 2*z = -8 for n.
0
Suppose -2*n = -5*a + 236, -2*n - 2*n = -5*a + 482. Let o = n + 176. Let d = 54 - o. Solve -f - c = -2 + d, -19 = f - 4*c for f.
-3
Let h(f) = f + 59. Let p be h(-18). Suppose 79 = 4*m - 5*a, 4*a + 35 + p = 4*m. Solve -m = -3*k + 5*l, 7 = 4*k - 5*l - 6 for k.
-3
Let k(b) = 14*b + 303. Let t(m) = 26*m + 611. Let q(a) = 7*k(a) - 3*t(a). Let w be q(-14). Solve 0 = -u + 4*g + 12 + w, -4*u - 5*g = 25 for u.
0
Let i = -62 + -12. Let u = i + 85. Suppose 2 = -o, 4*f - o - u = f. Solve -2*k + f = y, 0 = 2*k - 5*k for y.
3
Let t be 5 - 9 - 29/(-1). Suppose 0 = 4*v - 4*f - 84, t = -4*v + 3*f + 106. Solve v = 5*r + 4*u, 2*r - 4 = 5*r - 5*u for r.
2
Suppose 122*q = -382*q. Solve -4*d - 4*c = 15 - 7, -d - 2*c = q for d.
-4
Let j be 7 - (55/22)/(1/2). Suppose -3*t + 5 = -2*u, j*u = -19*t + 24*t - 15. Solve 4*y - 4*w + 7 = 23, 0 = -u*w - 5 for y.
3
Let o = 746 + -746. Solve -4*c - 2*d + 22 = o, -9*c + 7*c = -3*d + 9 for c.
3
Let p be (-60)/(-105)*7*(-3)/(-2). Solve 4*r - 16 = 4*o + p*r, 0 = 3*o + 4*r + 17 for o.
-3
Suppose 3*a - v - 12 = 0, 17*a - 13*a - v = 16. Solve a*x + 0*j + 12 = -2*j, 2 = 4*x - 5*j for x.
-2
Let a be (-6 - -8)*(-12 - (-7 - 6)). Solve 3*o = 2*q + 1, 0 = a*o + 38*q - 41*q + 1 for o.
1
Suppose 4*f - v + 1 = 14, -2*f = -v - 5. Solve -f*r + 8 = 0, -4 = -4*s - 3*r - 2 for s.
-1
Let x = 52 - 46. Let d = -6 - x. Let o = d + 15. Solve 2*k - 8 = -4*s + 4, -9 = -o*s + 5*k for s.
3
Let w(r) = -18*r + 289. Let y be w(-23). Let n = y + -700. Solve -3*z = 4*b + 1 - 2, b + n*z + 11 = 0 for b.
4
Let s = 15150 + -15117. Solve -u = 0, s - 3 = 5*d - 4*u for d.
6
Suppose 15*h + 328 = 358. Suppose -4*w + 46 = -2*b, 4*b + 4*w = -81 - 23. Let z = -21 - b. Solve -3*n - n - 10 = -h*s, z*n = -16 for s.
-3
Let g(p) = -46*p - 168. Let d be g(-9). Let x = -236 + d. Solve -x = -4*t - h, 0 = -2*t + 4*t - 5*h + 6 for t.
2
Let t(k) be the third derivative of k**5/30 - 7*k**4/4 + 27*k**3 - 12*k**2 + 5. Let n be t(16). Solve -n = 4*d - 5*a, 0*d - 2*a - 1 = -d for d.
-3
Let n = 6920 + -6916. Solve 4*x - 20 = -n*j, -2*x = -5*j - 0*x + 32 for j.
6
Suppose -a = 5*z + a - 1404, 5*z - 5*a = 1390. Let c be (-18)/(-7) - (-5)/(z/24). Solve c*w - 4*w = 2*r - 3, 4*w - 12 = -5*r for r.
0
Suppose -842 = -22*x - 138. Solve -b + 3*k + 1 = 0, x*k = 2*b + 27*k - 1 for b.
-2
Let g(f) = 35*f + 212. Let y be g(-6). Solve 6*k + 10 = y*k + 3*a, -4*k - 4*a = -4 for k.
-1
Suppose 0 = j + z + 1, -4*j - 20 = z - 5*z. Let p be -32 + 6*2/j. Let x = -29 - p. Solve 0 = -4*a - t + x, -3*a - t - 3 = -3*t for a.
1
Let i(x) = -6997*x**3 + 6996*x**3 + 0*x - 4*x**2 - 12 - 7*x. Let h be i(-4). Solve -h = -3*t + 5*s, -2*s + 6*s + 8 = 4*t for t.
-3
Let y be 2*13/16 + 339/904. Suppose -a = 4*a. Let k = a - 0. Solve k = 3*o - 5*w - 14, y*o + 2*w - 6 + 2 = 0 for o.
3
Suppose 14*u + 12 = 17*u. Let d = u + -2. Solve -3*l - d = -2*x, x + 3*l = -4*x - 16 for x.
-2
Let a(m) = m**3 + 33*m**2 - 34*m + 23. Let j be a(-34). Suppose -j*v = -20*v - 36. Solve h - 4*f + v = 2, -2*f = -h - 4 for h.
2
Suppose -n + 2232 = -9*n. Let j = 279 + n. Solve 2*c + 9 = -5*z, 2*z - 5*c = -j*c + 8 for z.
-1
Suppose 26 = 1424*x - 1411*x. Solve -5 = -11*q + 10*q - 2*b, -x*b = -2 for q.
3
Suppose 0 = 148*z - 155*z + 6 + 8. Solve -17*s = -4*y - 19*s + 4, -11 = -y + z*s for y.
3
Suppose 0 = -127*r + 123*r + 8. Solve -19 = -3*z + 5*p, 2*z - r*p - 10 = -0*z for z.
3
Let v be (22 - 18)*3/4. Let z = 34 - 24. Solve -g - 8 = v*g - 4*x, 5*x - z = -3*g for g.
0
Let g(t) = -325*t**3 + 10 + t - 334*t**3 + 660*t**3 + 7*t**2. Let x be g(-7). Suppose 0 = -d, -x*m - 2*d + 0 = -6. Solve 3*k - q - 13 = 0, m*q + 5 = 3 for k.
4
Let o(r) = 46*r + 141. Let p be o(-3). Solve 3*f = 3, -25*s + 26*s = -p*f - 2 for s.
-5
Let m be 24/456 + 74/38. Solve 0 = -y + m*d - 9, -18*d = 4*y - 21*d + 26 for y.
-5
Suppose 172 = 1179*n - 1136*n. Solve -5*b + 5 + 15 = -5*s, 2*s - n*b + 10 = 0 for s.
-3
Let k = 373 + -371. Suppose 12 = -4*d, 2*d + 10 = 4*u - k*u. Solve 4*f + 2*j - 8 = 0, -u*j + 4 = -f - 4*j for f.
4
Let i(h) = -h**3 + h**2 + 7*h + 2. Let q be i(3) | {
"pile_set_name": "DM Mathematics"
} |
6
b
What is -1 (base 8) in base 2?
-1
Convert 13 (base 7) to base 4.
22
Convert -442 (base 7) to base 8.
-342
Convert 1 (base 4) to base 14.
1
-d9 (base 14) to base 6
-515
What is -14 (base 16) in base 8?
-24
What is 33 (base 4) in base 11?
14
331 (base 6) to base 2
1111111
2 (base 5) to base 8
2
Convert -3 (base 11) to base 3.
-10
What is -4 (base 10) in base 14?
-4
Convert 2 (base 8) to base 4.
2
0 (base 14) to base 12
0
What is 4 (base 6) in base 5?
4
What is b6 (base 15) in base 3?
20100
What is 1 (base 2) in base 7?
1
What is -15 (base 15) in base 12?
-18
-333 (base 4) to base 13
-4b
What is 103 (base 10) in base 5?
403
10001 (base 2) to base 14
13
What is -206 (base 10) in base 3?
-21122
Convert 63 (base 8) to base 15.
36
-8 (base 9) to base 11
-8
Convert -18 (base 10) to base 4.
-102
What is 10101 (base 2) in base 9?
23
What is 535 (base 6) in base 9?
245
Convert -20 (base 12) to base 8.
-30
What is 16 (base 16) in base 2?
10110
-7 (base 14) to base 6
-11
Convert 2 (base 15) to base 16.
2
1145 (base 6) to base 16
119
What is 4 (base 13) in base 10?
4
59 (base 15) to base 6
220
Convert -127 (base 9) to base 2.
-1101010
-8 (base 16) to base 12
-8
Convert 4 (base 16) to base 9.
4
-5 (base 11) to base 2
-101
What is 33 (base 4) in base 3?
120
Convert -6 (base 12) to base 16.
-6
-11011001 (base 2) to base 6
-1001
Convert 2 (base 8) to base 7.
2
Convert -3 (base 8) to base 15.
-3
What is -233 (base 5) in base 14?
-4c
What is 0 (base 12) in base 16?
0
Convert -10100 (base 2) to base 6.
-32
-5e (base 16) to base 15
-64
What is 4 (base 16) in base 7?
4
Convert 11112 (base 3) to base 10.
122
What is 55 (base 7) in base 6?
104
What is -2 (base 13) in base 8?
-2
111 (base 5) to base 6
51
Convert 2b (base 12) to base 13.
29
-12 (base 3) to base 13
-5
-32 (base 13) to base 3
-1112
What is -86 (base 10) in base 16?
-56
-2222 (base 3) to base 10
-80
Convert -4 (base 14) to base 4.
-10
What is 30 (base 8) in base 12?
20
Convert -16 (base 10) to base 14.
-12
-32 (base 6) to base 2
-10100
Convert 22 (base 12) to base 13.
20
Convert -13 (base 4) to base 16.
-7
What is -3 (base 8) in base 10?
-3
What is -1100001 (base 2) in base 6?
-241
0 (base 3) to base 13
0
Convert 0 (base 4) to base 16.
0
7 (base 12) to base 8
7
Convert -3 (base 7) to base 15.
-3
1 (base 10) to base 4
1
Convert 0 (base 4) to base 7.
0
Convert 15 (base 16) to base 14.
17
Convert 4 (base 15) to base 14.
4
What is -212 (base 3) in base 11?
-21
What is 4 (base 10) in base 3?
11
-20 (base 10) to base 5
-40
-102 (base 4) to base 11
-17
What is 12 (base 11) in base 2?
1101
7 (base 13) to base 10
7
1 (base 7) to base 11
1
What is -10111101 (base 2) in base 5?
-1224
What is c (base 15) in base 8?
14
-1 (base 10) to base 5
-1
-210 (base 4) to base 12
-30
1 (base 7) to base 3
1
Convert 16 (base 14) to base 5.
40
Convert -12 (base 15) to base 11.
-16
21 (base 4) to base 7
12
11010 (base 2) to base 3
222
2 (base 10) to base 8
2
-ca (base 16) to base 13
-127
What is 2 (base 4) in base 11?
2
What is -2 (base 8) in base 16?
-2
Convert 11 (base 9) to base 8.
12
What is -1 (base 16) in base 10?
-1
What is 6 (base 10) in base 13?
6
Convert -21 (base 4) to base 15.
-9
Convert -8 (base 11) to base 9.
-8
aa (base 13) to base 12
b8
40 (base 10) to base 3
1111
Convert 5 (base 14) to base 4.
11
What is 68 (base 13) in base 5?
321
11 (base 10) to base 2
1011
Convert 2 (base 4) to base 11.
2
Convert 10111 (base 2) to base 3.
212
3 (base 14) to base 15
3
8 (base 16) to base 15
8
What is -1 (base 13) in base 8?
-1
What is 1 (base 11) in base 3?
1
What is -1 (base 5) in base 3?
-1
What is -11 (base 14) in base 11?
-14
Convert -86 (base 12) to base 8.
-146
-b (base 13) to base 15
-b
Convert -1 (base 9) to base 13.
-1
What is 13 (base 6) in base 14?
9
What is 1 (base 7) in base 10?
1
5 (base 16) to base 12
5
What is 220 (base 3) in base 15?
19
Convert cd (base 16) to base 15.
da
What is 10 (base 7) in base 6?
11
What is 6 (base 9) in base 7?
6
c (base 16) to base 10
12
What is 11 (base 3) in base 9?
4
What is 13 (base 16) in base 7?
25
Convert 5 (base 15) to base 2.
101
What is -1 (base 16) in base 5?
-1
Convert 4 (base 9) to base 4.
10
What is -110 (base 4) in base 14?
-16
Convert -11 (base 6) to base 13.
-7
Convert 2 (base 14) to base 9.
2
c (base 13) to base 6
20
What is -18 (base 10) in base 8?
-22
-3 (base 5) to base 14
-3
What is -13 (base 6) in base 3?
-100
-1 (base 12) to base 5
-1
What is 1000000 (base 2) in base 10?
64
Convert 2 (base 12) to base 2.
10
What is 122 (base 11) in base 12?
101
2 (base 16) to base 11
2
Convert 1 (base 6) to base 9.
1
Convert 2 (base 8) to base 5.
2
What is -202 (base 4) in base 13?
-28
-7e (base 16) to base 14
-90
3 (base 14) to base 12
3
8 (base 10) to base 3
22
Convert -1 (base 5) to base 7.
-1
-3 (base 8) to base 4
-3
What is -1 (base 10) in base 14?
-1
Convert 24 (base 10) to base 13.
1b
Convert 5 (base 12) to base 10.
5
What is 39 (base 16) in base 5?
212
What is 1b (base 16) in base 6?
43
What is 3 (base 8) in base 12?
3
What is 0 (base 8) in base 9?
0
Convert -5 (base 6) to base 11.
-5
Convert 10100 (base 2) to base 15.
15
Convert 1 (base 12) to base 11.
1
What is -205 (base 7) in base 4?
-1213
Convert -110001 (base 2) to base 15.
-34
What is 205 (base 6) in base 8?
115
Convert -35 (base 14) to base 13.
-38
Convert 10 (base 2) to base 12.
2
What is -20 (base 13) in base 6?
-42
-15 (base 7) to base 8
-14
-25 (base 11) to base 13
-21
-63 (base 14) to base 12
-73
Convert 19 (base 11) to base 7.
26
Convert -2 (base 16) to base 11.
-2
-128 (base 12) to base 13
-107
What is -32 (base 5) in base 15?
-12
What is -49 (base 10) in base 4?
-301
What is 1010 (base 3) in base 5?
110
What is -1 (base 15) in base 12?
-1
Convert 94 (base 11) to base 8.
147
What is 127 (base 10) in base 4?
1333
3 (base 10) to base 3
10
Convert -22 (base 3) to base 8.
-10
Convert -4 (base 12) to base 2.
-100
Convert 36 (base 11) to base 10.
39
Convert -c (base 15) to base 9.
-13
Convert -12 (base 4) to base 10.
-6
-148 (base 12) to base 13
-125
Convert 22 (base 9) to base 11.
19
Convert 123 (base 4) to base 11.
25
-4 (base 13) to base 3
-11
What is -5 (base 9) in base 6?
-5
What is -14 (base 5) in base 7?
-12
-b (base 16) to base 7
-14
Convert 1 (base 7) to base 8.
1
-43 (base 6) to base 2
-11011
c (base 14) to base 16
c
What is 20 (base 9) in base 14?
14
65 (base 9) to base 2
111011
What is 52 (base 10) in base 3?
1221
-232 (base 4) to base 10
-46
Convert 10101 (base 2) to base 7.
30
105 (base 6) to base 2
101001
49 (base 15) to base 2
1000101
Convert -2 (base 7) to base 5.
-2
Convert -5 (base 9) to base 14.
-5
-100 (base 4) to base 15
-11
43 (base 5) to base 14
19
Convert 21 (base 4) to base 8.
11
Convert -3b (base 12) to base 13.
-38
a (base 12) to base 9
11
Convert -14 (base 6) to base 11.
-a
Convert -221 (base 7) to base 15.
-78
What is -102 (base 11) in base 9?
-146
Convert -5 (base 15) to base 12.
-5
Convert 12 (base 14) to base 12.
14
What is -2 (base 3) in base 16?
-2
Convert -21 (base 5) to base 3.
-102
Convert -42 (base 15) to base 10.
-62
13 (base 4) to base 11
7
-122 (base 3) to base 7
-23
What is 1012 (base 5) in base 4?
2010
Convert -13 (base 4) to base 16.
-7
Convert 3 (base 11) to base 13.
3
Convert 4b (base 12) to base 14.
43
Convert -15 (base 6) to base 10.
-11
What is -9 (base 14) in base 15?
-9
22 (base 9) to base 10
20
Convert -11 (base 6) to base 11.
-7
10 (base 4) to base 13
4
26 (base 10) to base 9
28
1001 (base 3) to base 9
31
-79 (base 14) to base 8
-153
61 (base 10) to base 3
2021
What is -11 (base 2) in base 7?
-3
-82 (base 10) to base 8
-122
What is 221 (base 5) in base 2?
111101
What is 13 (base 4) in base 9?
7
Convert 0 (base 10) to base 14.
0
What is -82 (base 15) in base 14?
-8a
What is -5 (base 14) in base 16?
-5
Convert 21 (base 6) to base 15.
d
What is 5 (base 11) in base 10?
5
What is 9 (base 14) in base 8?
11
Convert 160 (base 8) to base 9.
134
What is -13 (base 6) in base 9?
-10
-6 (base 15) to base 2
-110
Convert 304 (base 7) to base 9.
177
What is -64 (base 13) in base 15?
-57
-1 (base 14) to base 2
-1
Convert -47 (base 8) to base 5.
-124
Convert -1403 (base 5) to base 15.
-103
Convert 72 (base 10) to base 2.
1001000
What is -13 (base 11) in base 10?
-14
Conver | {
"pile_set_name": "DM Mathematics"
} |
is the greatest common factor of 102 and 7914?
6
What is the greatest common divisor of 331281 and 9?
9
Calculate the highest common factor of 2761 and 1166.
11
Calculate the greatest common factor of 27460 and 60.
20
Calculate the highest common divisor of 4864 and 127072.
608
What is the greatest common factor of 495205 and 5?
5
Calculate the highest common divisor of 235290 and 6510.
930
What is the highest common divisor of 8829 and 324?
81
What is the greatest common divisor of 818 and 129653?
409
What is the highest common divisor of 219606 and 102?
102
Calculate the greatest common factor of 21078 and 522.
18
What is the greatest common factor of 5346 and 10978?
22
What is the highest common divisor of 290496 and 4806?
534
Calculate the greatest common factor of 322 and 133791.
161
What is the greatest common divisor of 60 and 632640?
60
What is the greatest common divisor of 2982 and 129504?
426
Calculate the highest common factor of 270 and 7440.
30
What is the highest common divisor of 5040 and 9352?
56
What is the highest common factor of 4407 and 2373?
339
What is the greatest common divisor of 88 and 610269?
11
What is the greatest common factor of 117 and 3440541?
39
What is the greatest common factor of 1592 and 10746?
398
What is the highest common factor of 32 and 23912?
8
Calculate the greatest common factor of 477616 and 48.
16
Calculate the greatest common divisor of 1656206 and 62.
62
What is the highest common factor of 1613736 and 54?
54
What is the highest common divisor of 13005 and 25?
5
What is the highest common factor of 154740 and 384?
12
Calculate the greatest common factor of 41412 and 19074.
102
What is the highest common factor of 366279 and 498?
249
Calculate the highest common factor of 1473489 and 909.
909
Calculate the greatest common factor of 998 and 1100794.
998
What is the greatest common divisor of 13956 and 132?
12
What is the greatest common factor of 4989 and 174?
3
Calculate the highest common factor of 291 and 16781.
97
What is the highest common factor of 733 and 1742341?
733
What is the highest common factor of 20718 and 27?
9
Calculate the highest common divisor of 232 and 194.
2
What is the highest common divisor of 10418810 and 118?
118
What is the greatest common divisor of 12 and 23524?
4
Calculate the highest common divisor of 255 and 912900.
255
Calculate the highest common divisor of 824 and 480289.
103
Calculate the highest common divisor of 1408 and 8960.
128
What is the highest common divisor of 12089056 and 464?
464
What is the highest common factor of 400 and 30440?
40
What is the highest common factor of 389324 and 52?
52
What is the greatest common factor of 5356 and 58401?
103
Calculate the greatest common factor of 9766 and 41891.
257
What is the greatest common divisor of 35 and 191205?
35
Calculate the greatest common divisor of 627 and 55005.
57
What is the greatest common factor of 368 and 40816?
16
What is the greatest common divisor of 2274488 and 8?
8
What is the greatest common divisor of 7296 and 83968?
128
What is the highest common factor of 955 and 913935?
955
What is the highest common factor of 2192 and 16988?
548
Calculate the highest common divisor of 2064 and 2785712.
688
Calculate the highest common divisor of 45186 and 3417.
51
Calculate the greatest common divisor of 43430 and 387.
43
Calculate the greatest common divisor of 36 and 217524.
12
Calculate the highest common divisor of 6736 and 248.
8
Calculate the highest common divisor of 1617 and 19371.
33
What is the greatest common divisor of 13080418 and 1534?
1534
What is the greatest common factor of 142989 and 14?
7
What is the highest common divisor of 1994 and 3418713?
997
What is the highest common factor of 9750 and 11500?
250
Calculate the highest common divisor of 52796 and 938.
134
What is the highest common divisor of 90506 and 1079?
13
Calculate the greatest common factor of 1104 and 13344.
48
Calculate the greatest common factor of 215 and 120830.
215
Calculate the greatest common factor of 33440 and 507760.
880
Calculate the highest common factor of 6183 and 171.
9
What is the highest common divisor of 450 and 822?
6
Calculate the greatest common factor of 159888 and 66.
6
What is the greatest common divisor of 54048 and 228?
12
Calculate the greatest common factor of 112 and 2107.
7
What is the greatest common divisor of 455 and 171535?
455
What is the highest common factor of 55 and 257345?
55
What is the greatest common divisor of 211792 and 992?
496
What is the greatest common factor of 104 and 19?
1
Calculate the highest common divisor of 316 and 224044.
316
What is the greatest common divisor of 543235 and 1785?
595
Calculate the greatest common factor of 861 and 966042.
861
What is the greatest common factor of 374662 and 444?
74
Calculate the highest common divisor of 1368 and 8889264.
1368
Calculate the highest common factor of 2250 and 9500.
250
Calculate the highest common divisor of 9424 and 209.
19
What is the highest common divisor of 496623 and 6?
3
Calculate the greatest common divisor of 4576 and 5984.
352
Calculate the highest common factor of 75465 and 270.
135
What is the highest common factor of 159 and 6148?
53
What is the highest common factor of 12104838 and 526?
526
Calculate the greatest common factor of 2 and 19398.
2
What is the highest common divisor of 985569 and 351?
39
What is the highest common factor of 371 and 18781?
7
What is the greatest common factor of 31449 and 891?
33
What is the highest common factor of 479457 and 29?
29
Calculate the highest common factor of 13849 and 11.
11
Calculate the greatest common factor of 1752 and 25185.
219
Calculate the highest common divisor of 2914 and 4495.
31
Calculate the greatest common divisor of 415249 and 166.
83
What is the greatest common divisor of 207 and 1467?
9
Calculate the greatest common factor of 1650597 and 26.
13
Calculate the highest common divisor of 1179 and 11016.
9
What is the greatest common divisor of 12208 and 95375?
763
Calculate the greatest common divisor of 4212 and 7587.
27
What is the highest common factor of 30 and 359895?
15
What is the greatest common divisor of 5715 and 81?
9
What is the highest common factor of 24253 and 158?
79
What is the highest common divisor of 5103 and 6291?
27
What is the highest common divisor of 26720 and 1600?
160
Calculate the highest common divisor of 60 and 373780.
20
Calculate the highest common factor of 144 and 9496.
8
What is the highest common divisor of 888 and 19869?
111
What is the highest common factor of 27 and 8399322?
27
What is the highest common divisor of 406 and 30352?
14
What is the greatest common factor of 5228 and 1308?
4
Calculate the highest common factor of 7635 and 43770.
15
What is the greatest common divisor of 36 and 6822?
18
Calculate the highest common factor of 67630 and 20.
10
What is the greatest common factor of 605351 and 655?
131
Calculate the highest common factor of 25863 and 1776.
111
Calculate the highest common divisor of 11263 and 77.
7
Calculate the greatest common divisor of 656 and 7954.
82
Calculate the highest common divisor of 45 and 69645.
15
Calculate the highest common factor of 158470 and 1326.
26
What is the greatest common divisor of 1041975 and 4725?
225
What is the highest common divisor of 962 and 117845?
481
What is the highest common divisor of 74168 and 4?
4
Calculate the greatest common divisor of 1887 and 1122.
51
What is the highest common divisor of 613236 and 13?
13
What is the highest common factor of 226 and 115034?
226
Calculate the greatest common divisor of 32535 and 405.
135
Calculate the greatest common factor of 69524 and 2366.
182
What is the highest common divisor of 467 and 1717159?
467
Calculate the highest common divisor of 819 and 1770795.
117
What is the greatest common divisor of 871912 and 292?
292
Calculate the greatest common factor of 12966368 and 64.
32
What is the greatest common factor of 110797 and 707?
101
Calculate the highest common divisor of 5777 and 2943.
109
Calculate the greatest common factor of 1356 and 2172.
12
Calculate the highest common factor of 98 and 265650.
14
What is the highest common divisor of 2128 and 11984?
112
Calculate the highest common | {
"pile_set_name": "DM Mathematics"
} |
(3). Let o(c) = 129*c - 36. Let f(w) = -59*w + 17. Let k(b) = 13*f(b) + 6*o(b). Let i(h) = -6*h - 4. Give d*k(x) - 5*i(x).
2*x
Let l(r) = 3*r - 1. Let v(z) = 7*z - 3. Let n(p) = -43*p. Let d be n(2). Let b = d - -82. Calculate b*v(s) + 10*l(s).
2*s + 2
Let w(v) = 15*v + 117. Let j(g) = -5*g - 41. Let o(h) = 11*j(h) + 4*w(h). Let l(k) = -9*k - 33. Determine -6*l(n) - 11*o(n).
-n + 11
Suppose 58*s = 35 - 93. Let f(d) = -d. Let o(k) = -8*k. Give s*o(r) + 24*f(r).
-16*r
Let j(x) = -2*x - 24. Let s(f) = 5*f + 48. What is 14*j(q) + 6*s(q)?
2*q - 48
Suppose -b + 74 = 5*q + b, -b - 54 = -4*q. Let u be (-1 + 26/14)*q/3. Let m(i) = 7*i**3 - 5*i + 7. Let l(s) = 6*s**3 - 4*s + 6. Give u*m(v) - 5*l(v).
-2*v**3 - 2
Let y(f) = -7*f**3 + 6*f**3 + 7*f**3 - 6*f**2 + 6 + 8*f. Let u = 1 - 30. Let r = u + 26. Let w(h) = -2*h**3 + 2*h**2 - 3*h - 2. Give r*y(l) - 8*w(l).
-2*l**3 + 2*l**2 - 2
Let c(j) = -j - 4. Suppose -4*i = -3*d - 2*i + 59, i - 13 = -d. Let n(x) = -2 - 11 - 3 + d. What is -c(l) - 4*n(l)?
l
Let i(q) = 4*q**3 + 2*q**2 + 2*q - 2. Let z(r) = -r**3 - r**2 + 1. Let w(d) = -2*d**2 + 3*d + 2. Let a(y) = w(y) - 5*z(y). Determine -4*a(o) + 6*i(o).
4*o**3
Let a(h) = h + 1. Let l(t) = 10*t**2 + 8. Calculate 8*a(x) - l(x).
-10*x**2 + 8*x
Let n = 2 - 8. Let k(x) = 2*x**3 + 3*x**2 - 6. Let z(r) be the second derivative of -3*r**5/10 - 3*r**4/4 + 17*r**2/2 + 421*r. Give n*z(h) - 17*k(h).
2*h**3 + 3*h**2
Let f(a) = 6*a + 1. Let m(v) = -35 - 38 + 13*v + 76. What is -9*f(j) + 4*m(j)?
-2*j + 3
Let b(j) = j**2 - j - 2. Let s(q) = -4*q**2 + 4*q - 45. Determine 5*b(n) + s(n).
n**2 - n - 55
Let v(k) = k**3 - k**2. Let s be 39/(-91) - (-534)/21. Suppose -c - 23 = -3*c + 5*b, 5*b = -s. Let x(g) = -6*g**3 + 5*g**2 + 2*g + 2. Give c*x(j) - 5*v(j).
j**3 - 2*j - 2
Let l(r) = -2*r**2. Let h = 35 + -32. Suppose -9 = 5*m - 0*m + h*z, 2*m - 4*z = -14. Let a(w) = -3*w**2. Calculate m*a(t) + 4*l(t).
t**2
Let l = -123 - -127. Let p(c) = -4*c**3 + 3*c**2 + 5*c. Let a(q) = 3*q**3 - 3*q**2 - 4*q. What is l*p(o) + 5*a(o)?
-o**3 - 3*o**2
Let y(m) = 5*m**3 + 41*m**2 + 4*m. Let h(k) = -k**3 - 21*k**2 - 2*k. What is -5*h(u) - 2*y(u)?
-5*u**3 + 23*u**2 + 2*u
Let a(b) = 4*b + 3. Let g(j) = -13*j - 10. Let t(c) = -3*a(c) - g(c). Suppose 0*x + 16 = -4*x. Let w(q) = -3*q - 5. Calculate x*t(n) - w(n).
-n + 1
Let x(h) = 2*h - 6. Suppose -8 = -2*o, -2*o + 1 = w - 9. Let t be w/20*-4 - 51/(-15). Let b(v) = -2*v + 7. Determine t*b(c) + 4*x(c).
2*c - 3
Let p(r) = 4*r - 52. Let d(a) = 3*a - 52. What is 5*d(g) - 4*p(g)?
-g - 52
Let z(b) = -3*b**3 + 4*b**2 + 2*b - 4. Let j(k) = k**3 + k - 1. Give 4*j(a) - z(a).
7*a**3 - 4*a**2 + 2*a
Let v(h) = -3*h + 6*h - 14 + 3*h. Let x = 429 - 421. Let p(k) = 2*k - 5. What is x*p(n) - 3*v(n)?
-2*n + 2
Let h(v) = 9*v. Let a(j) = 5*j. Suppose -85*q - 3 = -86*q. Let c(y) = q*h(y) - 5*a(y). Let x(o) = -4*o. Determine -5*c(l) - 2*x(l).
-2*l
Suppose k + 4 = -5*v - 26, -2*k = 5*v + 35. Suppose 0*w - 2*w = -146. Let i(j) = -64*j + w*j - 3 - 2. Let q(a) = -5*a + 3. What is k*q(y) - 3*i(y)?
-2*y
Let y(n) = 143*n**2 + 1 - 142*n**2 + 129*n - 129*n. Let m(c) = c**2 - c - c**2 + 4*c**2. Determine m(p) - 2*y(p).
2*p**2 - p - 2
Let o(z) = -z**2 + z. Let l(a) = 160*a**2 + 25*a. What is -3*l(m) + 75*o(m)?
-555*m**2
Suppose -r + 2*f = 2 + 6, f = -5*r - 51. Let n be 46/(-69) - (-2 - 5/3). Let p(m) = 2*m**3 + 4*m**n - 2*m**3. Let q(u) = 7*u**3. Determine r*p(l) + 6*q(l).
2*l**3
Let q(z) = 6*z**3 - 6*z - 8. Let r(s) = -2*s + 9. Let v be r(7). Let h(a) = 2*a**3 - 2*a - 3. Determine v*q(k) + 14*h(k).
-2*k**3 + 2*k - 2
Let h(w) = w**3 - 521*w**2 + 6*w. Let o(t) = 2*t**3 - 1042*t**2 + 11*t. What is -11*h(u) + 6*o(u)?
u**3 - 521*u**2
Let u(d) = -d - 7. Let h(c) = -4. Let p(w) = w**3 - 8*w**2 - 11*w + 13. Let l be p(9). Let f = 21 + -18. Determine f*u(t) + l*h(t).
-3*t - 1
Let m(z) = z**3 + z**2. Let p be ((-4)/3)/((-1)/(-3)). Let b(q) = q**3 + 3*q**2. Give p*b(n) + 12*m(n).
8*n**3
Let q(z) be the first derivative of z + 0*z**2 + 4 + 1/3*z**3. Let b(g) = 8*g**2 + 6. Calculate b(x) - 6*q(x).
2*x**2
Let j(t) = -5*t - 3. Let q(k) = -2 - 9 + 9 - 3 - 4*k + 3. Determine 5*j(f) - 6*q(f).
-f - 3
Let h(w) = -6*w**2 + 52*w. Let z(c) = -5*c**2 + 51*c. Determine -6*h(a) + 7*z(a).
a**2 + 45*a
Let x(y) = y - 5. Let c(q) = q - 4. Let i(k) = -4*k + 50. Let j be i(14). What is j*x(l) + 7*c(l)?
l + 2
Suppose -16 = -5*b + 2*n, -n + 9 = 4*b - 9. Let d(q) = 5*q**2 - 17*q + 4. Let l(y) = -y**2 + 4*y - 1. Calculate b*d(v) + 18*l(v).
2*v**2 + 4*v - 2
Let k(q) = -q**2 - 5*q - 3. Suppose -30*v = -11*v - 95. Let r(t) = -2*t**2 - 6*t - 4. Determine v*k(l) - 4*r(l).
3*l**2 - l + 1
Let h(i) = -i**3 - i + 1. Let q(f) = 3*f**3 + 5*f**2 - 5*f + 13. Let t(b) = -b**3 - 3*b**2 + 4*b - 7. Let o(n) = -3*q(n) - 5*t(n). Give 5*h(a) - o(a).
-a**3 + 9
Let v(l) = 2*l**3 - 6*l**2 + 67*l + 4. Let u(w) = w**3 - 4*w**2 + 68*w + 3. Give -3*u(r) + 2*v(r).
r**3 - 70*r - 1
Let q(k) = -8*k**2 + 5*k - 8. Let p = 327 + -314. Let u(y) = 17*y**2 - 11*y + 17. Determine p*q(c) + 6*u(c).
-2*c**2 - c - 2
Let q = 945 + -935. Let z(m) = 5*m - 2. Let h(b) = -10*b + 5. What is q*z(l) + 4*h(l)?
10*l
Let u(l) = -l**2 + 2*l + 2. Let j be (-2)/12 - (-65)/30. Let v(o) = -3*o**2 + 11 + 11*o + 4*o**2 - 7*o**j. Give -11*u(q) + 2*v(q).
-q**2
Let a(h) = -553*h**3 + 3*h. Let o(k) = -18250*k**3 + 100*k. Give 100*a(v) - 3*o(v).
-550*v**3
Let u(q) = -5*q**3 - 15*q**2 + 6*q - 6. Let s(z) = z**3 - z**2 - z + 1. What is 6*s(m) + u(m)?
m**3 - 21*m**2
Let a(o) = -11*o**2 + 4*o + 6. Suppose -414 = 25*h + 44*h. Let x(m) = -11*m**2 + 3*m + 5. What is h*x(i) + 5*a(i)?
11*i**2 + 2*i
Let v(n) = 3*n**3 + 8*n**2. Let p(b) = -b**3 - 3*b**2. Suppose -3 = -h - 5*y + 2, 2 = 4*h + 2*y. Suppose -3*a - 2*a - 15 = h. What is a*v(w) - 8*p(w)?
-w**3
Let h(z) = -8*z - 4. Let k(t) = 7*t + 4. Let g(v) = v**3 - 11*v**2 + 15*v + 31. Let j be g(9). Give j*h(i) + 5*k(i).
3*i + 4
Let y(r) = 4*r + r + 2*r - 5*r. Let w(b) = b. Calculate 9*w(p) - 4*y(p).
p
Let t(x) = 229073*x**3 + 1315*x**2 - 1315*x + 1315. Let w(k) = 523*k**3 + 3*k**2 - 3*k + 3. Give 3*t(a) - 1315*w(a).
-526*a**3
Let b(h) = 2*h - 5. Let x(d) = -d + 4. Determine -3*b(c) - 4*x(c).
-2*c - 1
Let i(j) = 2*j**2. Let s(v) = v**2 - 33*v + 1. Give -i(a) + s(a).
-a**2 - 33*a + 1
Suppose -4*g - 51 = -5*a, 3*g = -3*a + 8*a - 47. Let v(o) = 9*o**2 - 5*o + 9. Let m(b) = 14*b**2 - 7*b + 13. Give a*v(q) - 5*m(q).
-7*q**2 - 2
Let i be 896/144 + (-4)/18. Let l(s) = s**3 - s + 1. Let c(g) = 6*g**3 + 6*g - 6. What is i*l(x) + c(x)?
12*x**3
Let l(y) be the first derivative of -y + 107. Let c(q) = -3 + q + 3*q - 2*q. Let m be (-1)/3 + 21/9. What is m*l(s) - c(s)?
-2*s + 1
Let r(m) = -29*m - 9. Let y(n) = -204*n - 60. What is 27*r(x) - 4*y(x)?
33*x - 3
Let u(q) = 1. Let y(r) = 4*r + 2. Let x(l) = -l. Let s(j) = -5*x(j) - y(j). Suppose m + 10 - 4 = 0. Let o be m + 7 + 2*-1. Determine o*s(f) - 4*u(f).
-f - 2
Let r(t) = 6*t**3 - 6*t**2 + 4. Let k be (120/105)/((-2)/(-7)). Let g(o) = 0*o**2 + 3 - 9*o**2 + k*o**3 + 5*o**2. Give 7*g(y) - 5*r(y).
-2*y**3 + 2*y**2 + 1
Let c(b) = -4*b**2 + 170*b. Let s(n) = 7*n**2 - 339*n. Give 5*c(i) + 3*s(i).
i**2 - 167*i
Let c(q) = -q + 8. Let z(d) = 2*d - 23. Suppose -10*a = k - 5*a - 27, 0 = 3*k + a - 53. What is k*c(x) + 6*z(x)?
-5*x - 2
Let s(c) be the second derivative of 1/12*c**4 - 5*c + 0 + 3/2*c**2 + 0*c**3. Let p(m) be the first derivative of s(m). Let y(x) = 2*x. Give 2*p(b) - 3*y(b).
-2*b
Let m(k) be the first derivative of 23*k**3/3 + 7*k**2/2 - 7*k - 124. Let y(p) = -12*p**2 - 4*p + 4. What is 4*m(a) + 7*y(a)?
8*a**2
Let p(v) = -9*v**2 - 11*v + 1. Let i(g) = 5*g**2 + 6*g - 1. Let l(a) = 2*a**2 + 15*a + 3. Let j be l(-7). What is j*p(t) - 7*i(t)?
t**2 + 2*t + 3
Let l(t) = -39*t + 197. Let q be l(5). Let j(r) = 15*r + 3. Let f(g) = -7*g - 1. Calculate q*j(s) + 5*f(s).
-5*s + 1
Let f(l) be the first derivative of l**2 + 2*l + 632. Let a(i) = 3*i + 3. Calculate -6*a(s) + 10*f(s).
2*s + 2
Let k(g) = 1 - 7*g + 2 + 1. Let q(w) = 36*w - 21. Let b(z) = 3*z - 13. Let u be b(9). Let o = u - -7. Determine o*k(d) + 4*q(d).
-3*d
Let g(t) = -t. Let j(x) = -10*x. Suppose -5*a + 53*y + 115 = 56*y, -4*a = -2*y - 70. Give a*g(d) - j(d).
-10*d
Let c(b) = 175*b + 5. Let g(d) = -2538*d - 72. Calculate 72*c(m) + 5*g(m).
-90*m
Let s be (-4 | {
"pile_set_name": "DM Mathematics"
} |
t -2*z**3 - 2780*z**2 + 5574*z + 8352 = 0.
-1392, -1, 3
Suppose -2*y**2 - 20420*y - 244752 = 0. Calculate y.
-10198, -12
Factor -c**3/5 - 83*c**2/5 + 7084*c - 14100.
-(c - 150)*(c - 2)*(c + 235)/5
Suppose 2*z**3/7 - 334766*z**2/7 = 0. What is z?
0, 167383
Factor -q**2/4 - 71*q/4 - 165.
-(q + 11)*(q + 60)/4
What is s in -2*s**4/5 + 902*s**3/5 - 24750*s**2 + 1082970*s - 1058400 = 0?
1, 105, 240
Solve -5*q**3 - 321160*q**2 - 963445*q - 642290 = 0 for q.
-64229, -2, -1
Let -81*u**5/5 - 54639*u**4/5 - 9495472*u**3/5 - 93981276*u**2/5 + 43178592*u/5 - 4849856/5 = 0. Calculate u.
-332, -11, 2/9
Factor -r**4/6 - 65*r**3/3 - 2624*r**2/3 - 11264*r.
-r*(r + 32)**2*(r + 66)/6
Solve -155*h**5 + 595*h**4 + 2995*h**3 - 10275*h**2 - 15480*h + 41040 = 0 for h.
-3, 57/31, 4
Find i, given that 5*i**2 + 24975*i - 49970 = 0.
-4997, 2
Find q, given that -q**5/3 - 158*q**4 - 1248*q**3 - 7456*q**2/3 = 0.
-466, -4, 0
Factor 2*u**2/9 - 2582*u/9 + 8540/3.
2*(u - 1281)*(u - 10)/9
Factor 5*x**3 + 1095*x**2 - 16245*x + 15145.
5*(x - 13)*(x - 1)*(x + 233)
Let -5*h**3 - 161640*h**2 + 969975*h - 1455030 = 0. What is h?
-32334, 3
Find o, given that 3*o**3/2 - 6174*o**2 + 74007*o/2 - 55485 = 0.
3, 4110
Suppose v**4 - 78588*v**3 - 157179*v**2 - 78590*v = 0. What is v?
-1, 0, 78590
Factor -b**2 - 4985*b + 29946.
-(b - 6)*(b + 4991)
Find r such that 2*r**2/7 + 57450*r/7 - 24624 = 0.
-28728, 3
Factor z**3/3 - 178*z**2/3 + 3655*z/3 - 4650.
(z - 155)*(z - 18)*(z - 5)/3
Determine c, given that -13*c**2/2 - 2719*c - 5412 = 0.
-5412/13, -2
Determine h, given that 5*h**4 + 514210*h**3 + 13219567745*h**2 - 52884441660*h + 52886498580 = 0.
-51423, 2
Factor -2*g**3 + 6*g**2 + 1112*g + 2184.
-2*(g - 26)*(g + 2)*(g + 21)
Factor -4*t**4/3 - 100*t**3 - 564*t**2 - 828*t.
-4*t*(t + 3)**2*(t + 69)/3
Factor -x**3 - 8704*x**2 + 122028*x - 209232.
-(x - 12)*(x - 2)*(x + 8718)
What is p in 2*p**5 - 134*p**4/11 - 50*p**3/11 + 1206*p**2/11 - 324*p/11 - 3024/11 = 0?
-2, -21/11, 3, 4
Factor -5*m**3 - 490*m**2 + 7005*m - 23310.
-5*(m - 7)*(m - 6)*(m + 111)
Find o such that -o**2 - 1367058*o - 467211893841 = 0.
-683529
Factor -3*q**2 - 27207*q - 27204.
-3*(q + 1)*(q + 9068)
Solve 4*l**4 - 248*l**3 - 23488*l**2 + 48632*l + 71868 = 0 for l.
-53, -1, 3, 113
Factor -n**3/6 + 97*n**2/6 - 132*n - 4200.
-(n - 84)*(n - 25)*(n + 12)/6
Factor t**2 + 754*t - 114920.
(t - 130)*(t + 884)
Factor 2*f**3/21 - 24734*f**2/21 + 25494570*f/7 - 25486326/7.
2*(f - 6183)**2*(f - 1)/21
Find k, given that -4*k**4/3 + 37904*k**3/3 + 645524*k**2/3 = 0.
-17, 0, 9493
Determine d, given that 27*d**2 + 291*d + 474 = 0.
-79/9, -2
Let -k**4 - 429*k**3 - 2969*k**2 - 6339*k - 3798 = 0. What is k?
-422, -3, -1
Let n**3/2 + 50357*n**2 - 201434*n + 201436 = 0. What is n?
-100718, 2
Determine p so that -3*p**3 + 3003*p**2 + 3006*p = 0.
-1, 0, 1002
Factor d**4/5 + 26874*d**3/5 + 180606709*d**2/5 + 144420876*d + 144399380.
(d + 2)**2*(d + 13435)**2/5
Solve -900*l**4/7 + 115440*l**3/7 - 689536*l**2/7 + 177728*l/7 - 11712/7 = 0 for l.
2/15, 6, 122
Factor -b**2 - 93*b - 356.
-(b + 4)*(b + 89)
Factor -3*f**2/4 + 50667*f/2 - 855714963/4.
-3*(f - 16889)**2/4
Determine h so that -2*h**5/9 + 454*h**4/3 - 232550*h**3/9 + 24934*h**2 + 1151920*h/9 + 231200/3 = 0.
-1, 3, 340
Let 8797156*g**3/3 - 8518352*g**2/3 - 276595*g/3 - 2209/3 = 0. Calculate g.
-47/2966, 1
Determine a so that -10*a**2/9 + 1037474*a/9 - 414988/9 = 0.
2/5, 103747
Solve -2*h**4/7 + 3748*h**3/7 - 1763400*h**2/7 + 6975100*h/7 + 8742250/7 = 0.
-1, 5, 935
Find q, given that -12142*q**5/3 - 485674*q**4/15 - 303534*q**3/5 + 97154*q**2/3 + 971312*q/15 - 32/5 = 0.
-4, -1, 3/30355, 1
Factor -s**4/4 - 53*s**3/4 + 517*s**2 - 1840*s.
-s*(s - 23)*(s - 4)*(s + 80)/4
Factor -y**2 - 400718*y - 40143728881.
-(y + 200359)**2
Let k**4/4 + 111*k**3/2 + 4201*k**2/4 - 225330*k + 4120900 = 0. What is k?
-140, 29
Solve -9*r**5/4 + 33*r**4/4 + 579*r**3/4 + 1503*r**2/4 + 615*r/2 + 66 = 0.
-4, -2, -1, -1/3, 11
Factor 6889*x**3 + 4897*x**2 - 1848*x + 144.
(x + 1)*(83*x - 12)**2
Factor -5*l**3 - 15*l**2 + 4370*l + 17400.
-5*(l - 30)*(l + 4)*(l + 29)
Find g, given that -32*g**4/7 + 140*g**3 + 1588*g**2/7 - 5688*g/7 - 2304/7 = 0.
-3, -3/8, 2, 32
Factor 2*f**2 + 1638*f + 215820.
2*(f + 165)*(f + 654)
Solve -3*f**3 + 9171*f**2 - 309213*f + 2620941 = 0 for f.
17, 3023
Factor -3*h**4 - 11628*h**3 - 11625*h**2.
-3*h**2*(h + 1)*(h + 3875)
Let 11*u**5 + 547*u**4 + 6516*u**3 + 11948*u**2 - 34352*u - 40320 = 0. Calculate u.
-360/11, -14, -4, -1, 2
Factor 2*v**4/17 + 5442*v**3/17 - 5444*v**2/17.
2*v**2*(v - 1)*(v + 2722)/17
Let 16*o**3 + 68*o**2 - 228*o - 360 = 0. What is o?
-6, -5/4, 3
What is j in 4*j**3 + 170264*j**2 - 340540*j + 170272 = 0?
-42568, 1
Suppose 10*z**5 - 42965*z**4 + 46117540*z**3 + 69273010*z**2 + 21490*z - 23091005 = 0. Calculate z.
-1, 1/2, 2149
Let -v**3 + 64959*v**2 - 1054950399*v + 1054885441 = 0. What is v?
1, 32479
Suppose k**5/2 + 26*k**4 + 197*k**3 - 5342*k**2 - 77227*k/2 + 43732 = 0. Calculate k.
-29, -8, 1, 13
Solve 3*r**3/8 - 36177*r**2/2 - 1302615*r/8 = 0.
-9, 0, 48245
Determine r so that r**2/12 + 555*r/2 - 3334/3 = 0.
-3334, 4
Determine g, given that g**4/3 + 2*g**3/3 - 89*g**2/3 + 114*g - 120 = 0.
-12, 2, 3, 5
Determine u so that -2*u**2/19 + 287792*u/19 - 10353029408/19 = 0.
71948
Factor 2*h**4 - 220*h**3 + 6166*h**2 - 11468*h.
2*h*(h - 61)*(h - 47)*(h - 2)
Solve -w**5/2 - 5*w**4/2 + 57*w**3 + 301*w**2 + 847*w/2 + 363/2 = 0 for w.
-11, -3, -1, 11
Factor 5*u**3 + 785*u**2 + 22380*u + 21600.
5*(u + 1)*(u + 36)*(u + 120)
Determine h so that -2*h**5 + 488*h**4 - 2870*h**3 + 3320*h**2 + 2872*h - 3808 = 0.
-1, 1, 2, 4, 238
Let -q**2/2 - 559527*q - 313070463729/2 = 0. What is q?
-559527
Let -5*i**2 + 3105*i - 333270 = 0. Calculate i.
138, 483
Determine t, given that 2*t**5/13 - 772*t**4/13 - 10314*t**3/13 - 23948*t**2/13 + 3112*t/13 + 31920/13 = 0.
-10, -2, 1, 399
Solve 2*q**4/11 - 9216*q**3/11 + 80360*q**2 = 0 for q.
0, 98, 4510
Factor -5*a**2/4 - 2505*a/4 - 10285.
-5*(a + 17)*(a + 484)/4
Factor 2*w**2/5 + 157652*w + 15533845690.
2*(w + 197065)**2/5
Find z, given that z**2 - 51*z/2 + 140 = 0.
8, 35/2
Determine a, given that a**3/7 + 2312*a**2/7 + 9236*a/7 + 9232/7 = 0.
-2308, -2
Factor -5*r**4 - 21120*r**3 - 22387040*r**2 - 178083840*r - 355493120.
-5*(r + 4)**2*(r + 2108)**2
Let 3*a**2/2 - 209673*a - 419349/2 = 0. What is a?
-1, 139783
Find x such that -3*x**3 - 28590*x**2 + 12*x + 114360 = 0.
-9530, -2, 2
Determine v, given that 7*v**4/4 + 1984*v**3 + 5663*v**2/4 - 1133*v/2 = 0.
-1133, -1, 0, 2/7
Factor i**2/3 - 3650*i/3 + 3649/3.
(i - 3649)*(i - 1)/3
Factor 5*d**3 + 44595*d**2 + 3009340*d.
5*d*(d + 68)*(d + 8851)
Suppose -2*n**2/9 + 5762*n/3 + 138416/9 = 0. What is n?
-8, 8651
Factor -4*r**2/3 + 2*r/3 + 272/3.
-2*(r + 8)*(2*r - 17)/3
Factor 2*k**2 + 95540*k + 1140986450.
2*(k + 23885)**2
Solve 21*s**4/8 + 975*s**3/4 - 75*s**2/2 - 975*s/4 + 279/8 = 0 for s.
-93, -1, 1/7, 1
Solve -4*f**4 - 204*f**3 + 4*f**2 + 204*f = 0.
-51, -1, 0, 1
Let 5*t**2/3 - 1325765*t/3 - 1325770/3 = 0. Calculate t.
-1, 265154
What is h in 4*h**5 + 29*h**4 - 57*h**3 - 198*h**2 = 0?
-33/4, -2, 0, 3
What is z in -2*z**4/21 - 274*z**3/21 + 82*z**2/3 + 822*z/7 - 1668/7 = 0?
-139, -3, 2, 3
Find z such that -9*z**5/4 + 38*z**4 + 945*z**3/4 + 361*z**2 + 165*z = 0.
-3, -10/9, -1, 0, 22
Determine p, given that 15*p**5/8 - 207*p**4/8 + 15*p**3/8 + 1647*p**2/8 + 1173*p/4 + 117 = 0.
-6/5, -1, 4, 13
Let 2*t**4 - 486*t**3 - 6588*t**2 - 17504*t + 24576 = 0. What is t?
-8, -6, 1, 256
Factor -h**5/3 + 440*h**4/3 - 49702*h**3/3 + 95480*h**2 - 141267*h.
-h*(h - 217)**2*(h - 3)**2/3
Determine m, given that -11*m**3/4 + 5651*m**2 + 24671*m/4 + 514 = 0.
-1, -1/11, 2056
Factor -1003*x**2/5 - 33097*x/5 + 66/5.
-(x + 33)*(1003*x - 2)/5
Find k, given that -k**3 - 1121*k**2 + 21702*k + 47880 = 0.
-1140, -2, 21
Solve 196*j**3 - 28392*j**2 - 149904*j - 194400 = 0 for j.
-18/7, 150
Let -2*i**2 + 152404*i - 2903372402 = 0. What is i?
38101
Find a such that -28*a**5 + 36*a**4 + 11276*a**3 + 7836*a**2 - 25504*a + 6384 = 0.
-19, -2, 2/7, 1, 21
Factor -3*r**3 - 8460*r**2 + 101991*r + 110448.
-3*(r - 13)*(r + 1)*(r + 2832)
Factor 2*w**2/5 + 2912*w/5 - 8754/5.
2*(w - 3)*(w + 1459)/5
Find p, given that -468*p**3/17 - 13106*p**2/17 - 44984*p/17 - 192/17 = 0.
- | {
"pile_set_name": "DM Mathematics"
} |
*m to the form w + o*m**2 + q*m and give w.
-49
Express 131*k**2 + 220*k**2 + 356*k**2 - 145*k**2 in the form h + u*k + v*k**2 and give v.
562
Rearrange -608*v**2 - 189*v**2 + 191*v**2 + (-2 + v + 2)*(3 - 2*v - 3) to the form s*v + y*v**2 + b and give y.
-608
Express -f**3 + 2*f**2 + 654*f + 184623923 - 184623923 as c + o*f**3 + k*f + w*f**2 and give k.
654
Express 4 - 46027*l + 22988*l + 22858*l in the form j*l + p and give j.
-181
Express 6438 + 111*w - 6438 + (-1 + 1 - w)*(-4 + 0 + 2) + (-4 - 2 + 4)*(2 - 5 - 2)*(-3*w + 2*w + 2*w) in the form l*w + x and give l.
123
Rearrange (-1 + 1 - 4)*(0 - 1 - 1)*(-69*v + 44*v + 91*v) to the form r + a*v and give a.
528
Express -24*s**2 + 1944*s + 1 - 1944*s + (20 - 50 - 73)*(-s**2 + 3*s**2 - s**2) as o*s + r + j*s**2 and give j.
-127
Express 8*c**4 + 6*c - 6*c**4 - 42*c**2 - 12*c + 29*c + 1 - 2*c**3 in the form v*c**4 + q*c + i*c**2 + d*c**3 + g and give q.
23
Express (0*j - 2*j - 5*j)*(8758*j - 129*j**2 - 8758*j + (0 - j + 0)*(0*j + 0*j - 2*j)) in the form c*j**3 + d + z*j**2 + f*j and give c.
889
Rearrange 26*i**3 + 369*i**2 - 25*i**3 + 2*i**2 + 2*i**2 - 3 - 5*i**2 to p*i + u*i**3 + v*i**2 + x and give u.
1
Express s + 2 - 5 - 17*s**2 + 1948*s**3 + 3*s**2 - 1950*s**3 as h*s**3 + v*s + b + a*s**2 and give v.
1
Rearrange (0 + v**2 + 0)*(109*v + 34*v**2 - 109*v) + 4*v**4 - 5*v**4 + 17*v**4 to c + g*v**4 + y*v**2 + o*v + i*v**3 and give i.
0
Rearrange 0 - 5822*m**2 - 1 + 1 + 10453*m**2 to r*m**2 + d*m + p and give r.
4631
Rearrange (p - 2*p + 0*p)*(-p - p + p) - 4467*p**2 - 4662*p**2 + 8067*p**2 to c + d*p + k*p**2 and give k.
-1061
Rearrange o**3 - 186*o - 7852 + 5*o**2 - 2*o**4 + 7848 - 7*o**2 to the form q*o**3 + u*o + r + p*o**4 + z*o**2 and give z.
-2
Rearrange (-8*t - 10*t - 4*t)*(-2*t**2 + 146 + 2*t**3 - 5128*t + 5128*t) to the form q*t**4 + c*t**2 + f*t + s + w*t**3 and give q.
-44
Express (160*z + 23*z - 357*z)*(-52*z + 5*z + 4*z) + (-4*z + 4*z + z)*(-2 - 2*z + 2) + 2 - 2 - z**2 in the form l*z**2 + u + n*z and give l.
7479
Rearrange -2*f**3 + 2*f - 2*f + (f**3 + 0*f**3 + 7*f**3)*(2 + 11 - 2) - 4*f**3 + 5*f**3 - 4*f**3 to the form y + g*f**3 + u*f + t*f**2 and give g.
83
Rearrange (-20*n - 10*n + 2*n)*(-3 + 1 - 4) + 0*n - 4*n - 6*n to p*n + f and give p.
158
Express (260316 - 520642 + 260325 - 5095*s**3)*(-2*s + 0*s + 4*s) as o*s**3 + z*s**4 + m*s**2 + l + q*s and give l.
0
Express 2*i**4 - 3*i**4 - i**4 + (0*i**3 + i**3 + 2*i**3)*(121910 - 1663*i - 121910) as h*i**4 + z*i**2 + p*i**3 + f + x*i and give h.
-4991
Express 1 + 142*a - 1 + 10029*a**2 - 10043*a**2 in the form x*a**2 + o*a + m and give x.
-14
Express -n + 3*n**2 + 53*n**2 - n**3 - 83*n**2 as j*n + x*n**2 + h + i*n**3 and give j.
-1
Rearrange -66*d - 9879*d**2 - 363 + 251 + 9881*d**2 to the form z*d + b + r*d**2 and give b.
-112
Rearrange 117*c**2 + 207*c**2 - 324*c**2 + c + 781*c**3 to the form f*c**3 + t*c**2 + v*c + k and give f.
781
Rearrange (-3*g - g**2 + 3*g)*(0*g + g + 2*g) + 5*g**3 + 3*g**3 - 2*g**3 + 6562*g - 6562*g - 431*g**3 to the form r + l*g**2 + c*g + a*g**3 and give a.
-428
Rearrange 2879 - 2322*f**2 - 2879 to g*f + s*f**2 + q and give s.
-2322
Express -69 + 181*y**3 - 2*y**4 + 2*y**2 + 3*y**4 + 186*y**3 - 361*y**3 + y**2 as h*y**4 + c*y**2 + s*y**3 + u*y + k and give s.
6
Express (-4 + 3 - 1)*(-3*u**3 + 0*u**2 + 0*u**2)*(0 + 12 - 7)*(3 - 6 + 1)*(-25 + 57 + 120) in the form d*u + m*u**2 + p + t*u**3 and give t.
-9120
Express -12*j**2 + 70 - 8*j - 3*j**4 - 5*j**3 - 71 + 10*j**2 in the form z*j**4 + b*j**3 + x + r*j**2 + s*j and give b.
-5
Rearrange (3*v + 0 + 0)*(6 - 4 + 5)*(14 - 20 + 23)*(-5 + 5 - 3)*(2 - 2 - 2*v**2) to r + o*v**2 + n*v**3 + i*v and give n.
2142
Express -1579*x**2 - 84 + 3159*x**2 - 1600*x**2 as c + h*x + g*x**2 and give g.
-20
Rearrange 652 - 3*y**3 + 4*y**3 + 1981680*y + 1318 + 1126 - 1981681*y to the form a*y**2 + k*y + x + d*y**3 and give d.
1
Rearrange (86*m + 349*m + 522*m)*(m - 2*m + 2*m) - 2*m + 3 - 4*m - 2 + 2*m**2 to q*m**2 + y*m + w and give w.
1
Express (2 - 7 + 2)*(-158 + 469 - 167 - 1276*g**4 - 148) as w*g**4 + z*g**2 + j*g + d + q*g**3 and give d.
12
Rearrange (11*g + 5 - 5 - g + 0*g - g + (-2 + 2*g + 2)*(4 - 3 + 1))*(38 - 124*g**2 - 169*g**2 - 40) to the form y*g**3 + j*g**2 + p*g + f and give f.
0
Express (3776 - 28*w**2 - 3777 - 36*w**2)*(-4*w**2 + 2 - 2) as r*w + a*w**2 + d*w**4 + s + m*w**3 and give a.
4
Rearrange (96 + 529 + 1599 - 312)*(4*a - 5*a - a) to z + s*a and give s.
-3824
Express 2033*n - 8514*n + 2*n**2 + 2653*n in the form p + u*n + g*n**2 and give g.
2
Express -189494*p**2 - 24 - 2*p**3 + p + 5 + 189549*p**2 in the form m*p**3 + f*p + c*p**2 + q and give q.
-19
Rearrange (-13 + 83 + 127)*(-430*n - 113*n**3 + 430*n) to m + t*n**2 + w*n + u*n**3 and give u.
-22261
Express (17 - 166 + 6 - 323 - 6*f)*(-2*f - 5*f + f) in the form b + c*f + h*f**2 and give b.
0
Express -1 + 1 - 5833*s - 83*s - 2184*s in the form p + n*s and give n.
-8100
Express (8*o - o + 5*o**2 - 6*o)*(582 + 697 - 1399) as r*o + w*o**2 + b and give w.
-600
Express -29*p**2 - 1545*p**3 + 1 - 42*p**2 + 70*p**2 as m*p + x + j*p**3 + b*p**2 and give j.
-1545
Rearrange -5*q**3 - 6*q**3 + 16*q**3 + (0*q - q + 2*q)*(-11 + 16 - 6 + 3*q**2) to j*q**2 + h*q + r*q**3 + t and give r.
8
Express 1741542 + 3*g - 1741542 as y*g + j and give y.
3
Express -363*z**3 - 21 - 309*z**3 + 690*z**3 in the form s*z**3 + v*z**2 + a*z + o and give s.
18
Express 28*g**2 + 120*g**2 + 101*g**2 + 15*g - g in the form x*g**2 + f*g + v and give f.
14
Rearrange -f - 3*f**2 - 6*f**2 + 4*f**2 + 21*f**3 + 21*f**3 - 43*f**3 + 9*f**4 to v*f**3 + m*f**2 + g + l*f**4 + q*f and give q.
-1
Rearrange 214*t**2 + 7836*t**2 + 3840*t**2 + (3*t - 5*t + t)*(0*t - 3*t + t) to n*t + i*t**2 + y and give i.
11892
Express 2 - 4*n**3 + 3*n - 1127*n**2 + 13*n**3 + 1131*n**2 in the form a*n**3 + l*n + w*n**2 + o and give l.
3
Express 4*c**2 - 4*c**2 + 3*c**2 + (-71*c + 110*c + 112*c + (4*c - 3*c + c)*(4 - 3 + 1))*(2*c - 3*c + 2*c) in the form t*c**2 + q*c + b and give t.
158
Express -30*g**4 + 13*g**4 - 20*g**4 + 4*g - 3 - g**2 + 5*g**3 - 5*g**3 in the form p*g + d + o*g**3 + k*g**2 + x*g**4 and give p.
4
Rearrange 0*u - 1515*u**2 - 2*u - 1279*u**2 - 1236*u**2 + 709*u**2 to the form i*u**2 + j*u + p and give i.
-3321
Express (5 - 3 - 4)*(-3 + 2 - 2)*(684 + 23*d - 684) in the form y + a*d and give a.
138
Rearrange (0 + 1 - 3)*(l**3 - l**3 - 2*l**3) - 1 + 20*l**3 + 17*l**2 + 4*l - 8*l**2 - 7*l**2 to i + m*l**2 + p*l**3 + t*l and give m.
2
Express 462 - 468 + j**3 - j**3 - 91*j**2 - j**3 in the form q*j**3 + y*j**2 + w + n*j and give y.
-91
Rearrange (2 + 3 - 8)*(3*p**4 - 2*p**4 + 0*p + p) + 343*p**4 - 180*p**4 - 219*p**4 + 3*p**2 to u + q*p + w*p**2 + i*p**3 + j*p**4 and give w.
3
Rearrange -4266*v + 6 - 2324*v - 6 + 404*v to the form i*v + n and give i.
-6186
Rearrange x**4 + 0 - 7*x - 33436927*x**3 + x**2 + 33436929*x**3 + 16 to the form t + v*x**4 + z*x**3 + s*x + y*x**2 and give t.
16
Express -23*s**2 - 3 + 2*s + 44*s**3 - 11*s**2 + 51*s**2 - 16*s**2 as l + k*s + y*s**2 + m*s**3 and give k.
2
Rearrange (-3*v**3 + v**3 + 4*v**3)*(2736*v + 56*v + 4159*v) to the form f + u*v**3 + p*v + l*v**2 + x*v**4 and give x.
13902
Express -22 + 45 + 2221*w**2 - 23 - 9113*w**2 as h + n*w**2 + q*w and give n.
-6892
Express (553*q - 1039*q + 343*q)*(38 - 54 - 86) in the form v + w*q and give w.
14586
Express (198*q**2 - 2*q + 72*q**2 + 6*q)*(q**2 + q**2 + 0*q**2) as u*q**2 + x*q**4 + g*q**3 + v*q + s and give x.
540
Express -43*a - 43*a + 85*a + 40 + (-2*a + 5 - 5)*(-2 - 1 + 4) - a - a + 0*a as i + r*a and give r.
-5
Rearrange (d - 9*d + d)*(-742 + 1649 - 613)*(0*d**2 - 8*d**2 + 2 - 1 - 1) to the form v*d + m*d**2 + n*d**3 + h and give n.
16464
Express (-3 - 1 + 3)*(p**2 - 2*p**2 + 2*p**2) + 12061249*p + 4*p**2 + 188 - 12061248*p + 5*p**2 in the form d*p**2 + u*p + r and give d.
8
Express -11171*u + 3450*u + 4232*u + 3 - 4 in the form q + h*u and give q.
-1
Express 1344 - 458 - 14777*m**2 - 885 as z*m + s*m**2 + f and give s.
-14777
Rearrange 375*d - 734*d + 360*d - 26*d**3 + 43 to the form q*d + m + z*d**2 + f*d**3 and give f.
-26
Rearrange -104 - 119 - 132 + 278 + 14*k - 124 to the form o*k + h and give o.
14
Express -37*u - 3 + 2 + 2*u**3 + 7 + 8*u - 9 - 10*u**2 in the form | {
"pile_set_name": "DM Mathematics"
} |
ond derivative of q**4/12 - 4*q + 4. Determine s(y(r)).
r**2
Let z(b) = b. Let c(f) = 22*f**2. Calculate z(c(m)).
22*m**2
Let a be -3 + 5/(60/38). Let o(y) be the second derivative of -a*y**3 + 0 - y + 0*y**2. Let j(k) = -2*k**2. Determine o(j(g)).
2*g**2
Let d(c) = -126*c**2. Let r(i) = 3*i. What is r(d(k))?
-378*k**2
Let r(w) = 13*w - 5. Let f(o) = 9*o - 2*o - 5 + 2. Let i(b) = 5*f(b) - 3*r(b). Let t(p) = -p**2. What is i(t(y))?
4*y**2
Let t(g) be the third derivative of -g**4/6 - 9*g**2. Let k(q) = 12*q**2. Give t(k(r)).
-48*r**2
Let r(t) = -2*t**2. Let o(h) = 152*h**2 - h. Calculate o(r(s)).
608*s**4 + 2*s**2
Let x(j) = j**2. Let k(l) be the second derivative of l**3/2 - 11*l. Give k(x(s)).
3*s**2
Suppose -21 = -d - 2*d. Let m(r) = d*r - 10*r + 7*r. Let u(j) = -2*j**2. Calculate u(m(z)).
-32*z**2
Let t(y) = y. Let r(n) = -8*n**2 - 13*n - 9. Let h(q) = 4*q**2 + 6*q + 4. Let j(o) = -13*h(o) - 6*r(o). Let v(d) be the first derivative of j(d). Give v(t(i)).
-8*i
Let g(p) be the second derivative of 0*p**3 + 0 + 1/12*p**4 + 2*p + 0*p**2. Let i(x) = -2*x**2. Give g(i(z)).
4*z**4
Let s(d) = -3*d - 6*d + 7*d. Let f(j) = 10*j**2. Calculate f(s(o)).
40*o**2
Let r(t) = 140*t**2. Let g(c) = -25*c**2. Determine r(g(v)).
87500*v**4
Let i(m) be the third derivative of -m**4/12 - 10*m**2. Suppose 5*y - 30 = -5. Let q(p) = 0*p**2 + y*p**2 - 7*p**2 + p**2. Give i(q(r)).
2*r**2
Let k(c) = -2*c + 21. Let b(s) = -2*s. Calculate k(b(p)).
4*p + 21
Let g(i) = -2*i**2. Let d(c) = c. Let w(k) = 4*k. Let m = 6 - 4. Let o(z) = m*d(z) - w(z). Determine g(o(x)).
-8*x**2
Let v(s) = -2*s**2 - 10*s. Let c(j) = 5*j**2. Calculate v(c(r)).
-50*r**4 - 50*r**2
Let n(z) = -2*z. Let a(r) be the second derivative of -2*r - 1/3*r**3 + 0*r**2 + 0. Give a(n(c)).
4*c
Let w(a) = -a. Let f(y) be the third derivative of 7*y**5/60 + 6*y**2. Calculate f(w(v)).
7*v**2
Let w(r) = r**2. Let p(q) = -52*q - 11. Let u(l) = -34*l - 7. Let k(x) = -5*p(x) + 8*u(x). Calculate k(w(a)).
-12*a**2 - 1
Let f(q) = -19*q. Let d(r) = 2*r + 44*r**2 - 42*r**2 - 2*r. Calculate d(f(t)).
722*t**2
Let c(x) = -x**2. Let z(d) be the third derivative of d**5/6 + 31*d**2. What is z(c(a))?
10*a**4
Let b(t) = -2*t. Let s(i) = 328*i - 1. Give s(b(p)).
-656*p - 1
Let d(h) = 4*h. Let s(y) be the third derivative of y**5/12 + 20*y**2. What is d(s(z))?
20*z**2
Let w(t) = t + 5. Let l(v) = -11*v**2. What is l(w(a))?
-11*a**2 - 110*a - 275
Let f(h) = -11*h**2. Let s(z) be the first derivative of -z**3/3 - 42. Determine f(s(x)).
-11*x**4
Let g(v) = 48*v**2. Let i(j) = -j. What is i(g(s))?
-48*s**2
Suppose 0*d = -2*d + 4. Suppose 0 = -5*b + b. Let v(z) = 3*z**2 + b*z**2 - 4*z**d. Let w(x) = 3*x. What is v(w(y))?
-9*y**2
Let q(b) be the first derivative of 24*b**2 + 27. Let x(f) = -2*f**2. Give q(x(o)).
-96*o**2
Let s(j) = -j**2 + 4*j**2 - 7*j**2. Let d(y) = -y + 0 + 5 - 5. Let h(a) = -6*a. Let b(r) = 4*d(r) - h(r). Determine b(s(c)).
-8*c**2
Let i(t) = 2*t. Let b(r) = 33 - 33 - 8*r**2. Give i(b(n)).
-16*n**2
Let j(o) = o**2 - 78. Let y(w) = 3*w**2. Give j(y(p)).
9*p**4 - 78
Let p(v) = -88*v - 3. Let s(n) = -2465*n - 85. Let a(o) = -85*p(o) + 3*s(o). Let g(u) = -2*u. Give a(g(c)).
-170*c
Let f(s) be the second derivative of -s**3/3 - 3*s. Let z(q) = 9*q - 24. Let b(o) = 2*o - 5. Let n(p) = -24*b(p) + 5*z(p). What is f(n(t))?
6*t
Let v(n) = 9*n + 10 - 28 + 18. Let q(b) = b + 1. Let s(m) = 5*m + 6. Let f(a) = 6*q(a) - s(a). Determine v(f(x)).
9*x
Let i(m) be the third derivative of m**5/6 - m**2 - 3*m. Let f(o) = 5*o**2. Determine f(i(x)).
500*x**4
Let c be (36/(-30))/(3/(-10)). Let y(r) = -c + 2*r + 5 - 1. Let h(w) = 3*w**2. Determine h(y(v)).
12*v**2
Let y(u) = 11*u. Suppose -j = -2*j - 11. Let h(r) = -2*r**2 + 11*r - 11. Let f(w) = -w**2 + 6*w - 6. Let t(p) = j*f(p) + 6*h(p). Give y(t(m)).
-11*m**2
Let l(v) = 3*v**2. Let g(d) be the third derivative of -d**4/4 - 9*d**2. Give g(l(z)).
-18*z**2
Let g(f) = 2*f - 36. Let j(q) = 33*q. Determine j(g(n)).
66*n - 1188
Let b(s) = 3097*s**2. Let k(y) = -y**2. Give b(k(c)).
3097*c**4
Let f(p) = -4*p**2. Let n(q) be the first derivative of 6 - 4 - q**2 - 1 - 3. What is f(n(d))?
-16*d**2
Let o(t) = -2*t. Let w(a) = -a**2 - 17*a - 15. Let l be w(-16). Let q(y) be the first derivative of -l + 0*y - 2/3*y**3 + 0*y**2. What is o(q(p))?
4*p**2
Let q(a) = 17*a**2. Let c(l) = 10 - 2*l**2 + l**2 - 10. Calculate c(q(r)).
-289*r**4
Let u(n) = 6*n**2. Let q(j) be the second derivative of -j**7/630 + 7*j**4/12 - 7*j. Let r(v) be the third derivative of q(v). What is r(u(l))?
-144*l**4
Let p(d) = -9*d. Let f(y) = 101*y**2. Calculate f(p(u)).
8181*u**2
Let t(o) = 6*o**2. Let q(m) = -2*m - 3. Let a(c) = 5*c + 7. Let f(x) = -6*a(x) - 14*q(x). Determine f(t(v)).
-12*v**2
Let n(f) = f**2. Let a(v) be the first derivative of 10*v**3/3 - 57. Determine a(n(s)).
10*s**4
Let t(q) be the first derivative of -2 - q**2 + 5*q + 0*q**2 - 5*q. Let x(u) = 4*u**2. Calculate t(x(r)).
-8*r**2
Let h(f) = f. Let r(t) = 6*t**2 + 27*t. Give r(h(q)).
6*q**2 + 27*q
Let b(r) = 0*r - r + 0*r + 6*r. Let v(k) = k. What is v(b(u))?
5*u
Let a(n) = 2*n. Let h(f) = 153*f. Calculate a(h(x)).
306*x
Let y(p) = -164*p + 321*p - 158*p. Let r(g) = g**2 + 5*g**2 - 2*g**2. Determine r(y(t)).
4*t**2
Let j(x) = -5*x. Let q(m) = m + 6. What is j(q(l))?
-5*l - 30
Let x(m) be the first derivative of -3*m**2/2 + 20. Let a(o) = 21*o + 9. Let z(t) = 5*t + 2. Let q(g) = -2*a(g) + 9*z(g). What is x(q(b))?
-9*b
Let k(t) = t**2 + 1. Let c(i) = i**2 - i + 5. Let g be c(0). Let d(p) = -3*p**2 - 5. Let m(h) = g*k(h) + d(h). Let v(w) = -2*w**2. Calculate m(v(z)).
8*z**4
Let f(c) = 24*c. Let m(d) = -37*d**2. What is m(f(q))?
-21312*q**2
Let x(a) = -3*a**2. Suppose -2*l + 6 = -l + 3*d, -4*l - 2*d = -4. Let t(c) be the first derivative of 2/3*c**3 + l*c**2 + 0*c - 2. What is x(t(s))?
-12*s**4
Let u(i) = 0*i + i - 3*i. Let y(l) = 3*l. Determine u(y(d)).
-6*d
Let k(z) = 3*z - 3*z - 2*z. Let g = -1 + 3. Let s(j) = -g*j**2 + 0*j**2 + j**2. Calculate k(s(p)).
2*p**2
Let n(z) = -3*z**2 - 20. Let f(k) = -6*k**2. What is n(f(b))?
-108*b**4 - 20
Let s(d) = d. Let m(r) be the third derivative of -r**5/60 - 11*r**2. Determine s(m(j)).
-j**2
Let y(j) = 2*j. Let z(s) be the second derivative of -53*s**3/6 - 27*s. Determine y(z(q)).
-106*q
Let j(r) = r + 1. Let s(z) = -z - 2. Let w(m) = -2*j(m) - s(m). Let t(o) = 9*o. Let a(c) = 28*c. Let x(v) = 5*a(v) - 16*t(v). Calculate w(x(f)).
4*f
Let k(a) = 3*a + 2. Let n(q) = 3*q + 1. Let j(d) = -2*d. Let w(f) = 4*j(f) + 5*n(f). Let g(i) = 5*k(i) - 2*w(i). Let l(p) = 6*p. Determine l(g(y)).
6*y
Let g(w) = -18*w**2. Let m(c) = 48*c. What is m(g(o))?
-864*o**2
Let b(o) = 11*o. Let y(q) be the third derivative of q**4/12 - 9*q**2. What is y(b(r))?
22*r
Let w(f) be the third derivative of -f**5/6 - 3*f**2. Let z(y) = -2*y. What is z(w(l))?
20*l**2
Let j(m) be the third derivative of 3*m**5/20 + 20*m**2. Let q(k) = 4*k. Calculate q(j(a)).
36*a**2
Let v(u) = 9*u + 6*u + 15*u + 0*u. Let t(q) = q**2. Give v(t(x)).
30*x**2
Let m(v) be the second derivative of v**3/6 - 4*v. Let h(f) = -f**2. Let j(q) = 7*q**2. Let x(b) = 5*h(b) + j(b). What is x(m(i))?
2*i**2
Let v(n) = 33*n. Let u(q) = -342*q. What is v(u(x))?
-11286*x
Let q(p) be the first derivative of -17*p**3/3 - 4. Let z(w) = -3*w**2. What is q(z(o))?
-153*o**4
Let a(l) = 67*l**2 - 30*l**2 - 41*l**2. Let t(g) = -3*g. Give t(a(n)).
12*n**2
Let h(j) = -j. Let z(c) be the third derivative of c**6/90 - 5*c**4/24 - 6*c**2. Let y(x) be the second derivative of z(x). Calculate h(y(d)).
-8*d
Suppose -2*g = -3*c - 12, 3*c + 4 = 3*g - 8. Let l(a) be the third derivative of a**2 + 1/24*a**4 + g*a + 0 + 0*a**3. Let j(p) = -p. Give l(j(y)).
-y
Let l(o) = -3*o**2. Let x(y) = -342*y - 2. Give l(x(s)).
-350892*s**2 - 4104*s - 12
Let g(x) be the first derivative of 3*x**2/2 - x + 1. Let q(a) = a - 1. Let l(m) = -g(m) + q(m). Let h(y) = -2*y + 3*y - y - 2*y**2. Give h(l(z)).
-8*z**2
Let k(p) = 10*p. Let t(y) = 1. Let j(c) = c**2 + 1. Let z(q) = -3*j(q) + 3*t(q). Calculate k(z(i)).
-30*i**2
Let j(m) = 4*m - 4*m + 4*m. Let w(x) be the second derivative of x**3/2 + 2*x. Let b(n) = -2*j(n) + 3*w(n). Let q(a) = 2*a**2. Give b(q(t)).
2*t**2
Let x(i) = 54*i. Let m(a) = 110*a**2. Calculate x(m(f)).
5940*f**2
L | {
"pile_set_name": "DM Mathematics"
} |
d(i) = 7*i - 4. Suppose 5*r - 32 = 4*k, 5*k - 25*r + 20*r = -35. What is k*d(z) - 5*x(z)?
-z + 2
Let h be 3/(-3) + -5 + 4. Let n = h - -3. Let a be n/1 + 112/(-16). Let w(k) = 10*k**2 + 7*k - 7. Let g(d) = -9*d**2 - 6*d + 6. What is a*w(x) - 7*g(x)?
3*x**2
Let n(h) = -47*h**2 + 4. Let l(y) = 5547*y**2 - 473. Let s(i) = -123*i - 3071. Let b be s(-25). Determine b*l(z) + 473*n(z).
-43*z**2
Let r(k) = k**3 - 8*k**2 + 7*k - 2. Let a(f) = 2*f**3 - 7*f**2 + 7*f - 1. Calculate -4*a(s) + 3*r(s).
-5*s**3 + 4*s**2 - 7*s - 2
Let g(k) = 6435536940 + 4*k + k - 6435536936. Let z(r) = -r**3 + 7*r**2 + 2*r + 7. Let o be z(6). Let x(d) = -70*d - 55. Calculate o*g(a) + 4*x(a).
-5*a
Let d(y) = y - 1. Let w(i) be the third derivative of -i**4/6 + 4*i**3/3 + 542*i**2. Give 8*d(p) + w(p).
4*p
Let z(s) = -138*s**3 + 24*s**2 - 3*s + 1. Let u(i) = -410*i**3 + 68*i**2 - 9*i + 3. What is -6*u(k) + 17*z(k)?
114*k**3 + 3*k - 1
Let r(y) = -4*y**2 + 2*y + 378. Let a(u) = -2*u**2 + 188. Give 5*a(m) - 3*r(m).
2*m**2 - 6*m - 194
Let j(y) = 203*y - 15. Let x(n) = -50*n + 3. Let m(c) = -j(c) - 4*x(c). Let q(g) = 1. Suppose 0 = -3*p + 8 + 1. Let a be 4 + 1 + p/3. What is a*q(h) - 2*m(h)?
6*h
Let d(j) = -48*j**3 + 2*j - 39. Let p(w) = 48*w**3 - w + 32. What is -3*d(k) - 4*p(k)?
-48*k**3 - 2*k - 11
Let h(v) = 24*v**3 + 12*v + 16*v**2 + 3*v + v. Let m = -1056 + 1072. Let k(r) = 5*r**3 + 3*r**2 + 3*r. What is m*k(i) - 3*h(i)?
8*i**3
Let q(j) = 2*j**3. Suppose y - 1 = -0. Let n(s) = -15*s**2 + 44*s**2 - 19*s**2 - 9*s**2. Give y*q(w) + 3*n(w).
2*w**3 + 3*w**2
Suppose -30*n = -26*n + 436. Let g = 104 + n. Let a(q) = 5. Let d(r) = -r**2 - 6. Determine g*d(w) - 6*a(w).
5*w**2
Let p(j) = -512 + 26*j + 3*j**2 - 26*j + 9*j**3 + 515. Let m(b) = 18*b**3 + 5*b**2 + 5. Calculate 3*m(a) - 5*p(a).
9*a**3
Let b(r) = -78*r**3 - 8*r**2 - 8*r + 8. Let z(a) = -52*a**3 - 5*a**2 - 5*a + 5. Suppose 9*s - 37 = 35. Give s*z(q) - 5*b(q).
-26*q**3
Let y(a) = -a**3 + 8*a**2 + 4*a + 7. Let m(o) = 2*o**3 - o**2 - 4. Calculate 6*m(z) + y(z).
11*z**3 + 2*z**2 + 4*z - 17
Let s(d) = 8*d**2 - 2*d + 1. Let p(q) = 10*q**2 + 5*q + 50. Calculate p(z) - 2*s(z).
-6*z**2 + 9*z + 48
Let i(s) = 11*s**3 - 25*s**2 - 2*s - 1. Let q(m) = 9*m**3 - 25*m**2 - 2*m - 1. What is -5*i(f) + 6*q(f)?
-f**3 - 25*f**2 - 2*f - 1
Let h(f) = -23*f**2 + 10*f - 11. Let x(j) = -48*j**2 + 24*j - 22. Let g(u) = 5*h(u) - 2*x(u). Let w(y) = 9*y**2 - y + 5. What is 6*g(r) + 13*w(r)?
3*r**2 - r - 1
Let d(z) = -3*z - 2. Let a(n) = n - 1. Suppose -413 + 351 = 31*p. Give p*d(w) + 6*a(w).
12*w - 2
Let j(g) = 2*g**2 + 4*g + 5. Let z(s) = -4*s**2 - 7*s - 10. Suppose o - 3*n = -2*o + 27, o = -3*n + 25. Suppose 0 = -o*x + 104 - 52. Give x*z(c) + 7*j(c).
-2*c**2 - 5
Let g(l) = 13*l**2 - 19*l. Let b(r) be the third derivative of 7*r**5/60 - 3*r**4/8 + 3635*r**2. What is 11*b(n) - 6*g(n)?
-n**2 + 15*n
Let k(g) = g**3 - 1. Let a(z) = 55*z**3 - 52*z**2 + 26*z + 15. Let q(f) = 27*f**3 - 24*f**2 + 12*f + 7. Let u(y) = -6*a(y) + 13*q(y). What is -k(n) - u(n)?
-22*n**3
Let d(c) = 5*c**2 - 11*c + 14. Let m be -4 - ((-2)/(-7) - 660/105). Let w(g) = 11*g - 3*g**2 + 0*g**2 - 4*g - m - 7. Give -5*d(b) - 8*w(b).
-b**2 - b + 2
Let p(w) = -5*w + 4. Let d(t) = -122 + 212 + 6*t - 103 - t + 9*t. Let y = 7 - 11. What is y*d(j) - 11*p(j)?
-j + 8
Let r(a) = 20*a**2 + 602*a + 13. Let b(l) = -27*l**2 - 802*l - 18. Give 8*b(x) + 11*r(x).
4*x**2 + 206*x - 1
Let g = -2532 - -2528. Let p(c) = 4*c - 7. Let v(r) = r**2 - 9*r + 15. Calculate g*v(z) - 9*p(z).
-4*z**2 + 3
Let f(n) = n**3 + n + 2. Let v(h) = h**3 + 2*h**2 + 2*h - 36. Give 3*f(i) - v(i).
2*i**3 - 2*i**2 + i + 42
Let k(x) = 1284*x - 52. Let i(v) = 856*v - 37. Calculate -7*i(r) + 5*k(r).
428*r - 1
Let s(k) be the first derivative of -2*k**3/3 - 5*k**2/2 - k - 3. Let g = 97 - 95. Let w(z) = 94*z**g + z - 51*z**2 - 42*z**2. Determine s(n) + 3*w(n).
n**2 - 2*n - 1
Let j(o) = 121*o - 66*o - 21 - 34 - 11*o**2. Let a(s) = -s + 1. Let q(z) = -177*z - 1594. Let u be q(-9). Determine u*j(p) - 55*a(p).
11*p**2
Let d(v) = 890*v**3 + 4*v**2 - 28*v + 4. Let m(b) = -891*b**3 - 3*b**2 + 21*b - 3. What is 3*d(n) + 4*m(n)?
-894*n**3
Let o(f) be the second derivative of -f**5/4 - 11*f**4/12 + 11*f**3/6 - 7*f**2/2 - 1940*f. Let z(q) = -3*q**3 - 6*q**2 + 6*q - 3. Give 6*o(c) - 11*z(c).
3*c**3 - 9
Let w(k) = 2*k**3 - 36*k**2 + 10. Let c(l) = 2*l**3 - 35*l**2 + 11. Determine 2*c(n) - 3*w(n).
-2*n**3 + 38*n**2 - 8
Let x(o) = 5*o**2 - 5*o + 9. Let q be (4/(-2))/(11/33) + 2. Let d(y) = y**2 - y + 1. Determine q*d(s) + x(s).
s**2 - s + 5
Let s(q) = -q + 7. Let l(a) = 28*a - 47. What is -l(i) - 4*s(i)?
-24*i + 19
Let o(a) = 7*a - 1. Let i(x) = -45*x + 183. Calculate i(k) + 6*o(k).
-3*k + 177
Let p(k) = -5*k + 128. Let f(m) = -40*m + 1023. What is -6*f(q) + 46*p(q)?
10*q - 250
Let h(r) be the second derivative of r**3/6 - r**2/2 - 6*r. Let j(f) be the first derivative of 15*f - 14*f + 5*f - 3*f**2 + 25. Calculate 34*h(o) + 6*j(o).
-2*o + 2
Let u(j) = -5*j + 2. Let v(o) = 4*o - 2. Suppose 2*t + 4 - 8 = q, 3*q = -5*t + 21. Suppose -9*g = -t + 30. Calculate g*u(r) - 4*v(r).
-r + 2
Let i(y) = -1929 + 1929 + 3*y. Let p(b) = -23*b + 7. Let r(t) = 8*t - 2. Let j(g) = -2*p(g) - 7*r(g). Determine 14*i(o) + 4*j(o).
2*o
Let k(o) = o + 4. Let l be k(-6). Let r(p) = p**2 + 2*p - 7. Let w(x) be the third derivative of x**5/60 + x**4/24 + 64103*x**2. Give l*w(v) + r(v).
-v**2 - 7
Let v(h) = -13*h**3 - 208*h**2 - 70*h + 7. Let w(q) = 9*q**3 + 147*q**2 + 50*q - 5. Give -12*v(n) - 17*w(n).
3*n**3 - 3*n**2 - 10*n + 1
Let j(b) = 6*b**3 + 14*b**2 - 9*b - 435. Let i(r) = -7*r**3 - 18*r**2 + 11*r + 434. Calculate 4*i(s) + 5*j(s).
2*s**3 - 2*s**2 - s - 439
Let v(w) = w**3 - 3*w**2 - w + 1. Let b(j) = 109*j**3 - 17*j**2 + j + 6. Determine b(t) - 5*v(t).
104*t**3 - 2*t**2 + 6*t + 1
Let a(s) = 17977*s + 3. Let j(u) = -17943*u - 4. Give 4*a(l) + 3*j(l).
18079*l
Let c(o) = 5*o - 3. Let b(j) = 14*j - 9. Let k(y) = 5*y**2 - 61*y - 46. Let n be k(13). Determine n*b(p) - 17*c(p).
-p - 3
Let u(y) = 71*y**2 - 63*y - 6. Let p(r) = -141*r**2 + 130*r + 10. Calculate 3*p(q) + 5*u(q).
-68*q**2 + 75*q
Let m(o) = -3*o. Let v(k) = 14*k**2 - 2*k + 39. Calculate -2*m(r) + v(r).
14*r**2 + 4*r + 39
Let b = 32 - 26. Let m(u) = -5*u - 348*u**2 + 699*u**2 + 2 - 352*u**2. Let v(r) = -r. Give b*v(w) - m(w).
w**2 - w - 2
Let f(b) = 297*b**3 - 9*b**2 + 9*b + 9. Let j(k) be the second derivative of -37*k**5/10 + k**4/6 - k**3/3 - k**2 + 151*k + 28. Determine 2*f(c) + 9*j(c).
-72*c**3
Let c(h) = -2*h**2 - 5*h - 4. Let i(v) = 511 - 263 - 255 - 9*v - 117*v**2 + 113*v**2. Give -7*c(j) + 4*i(j).
-2*j**2 - j
Let w(r) = 43*r - 730*r**3 - 12257*r**2 + 12300*r**2 + 128*r**3. Let g(s) = -43*s**3 + 3*s**2 + 3*s. What is -43*g(m) + 3*w(m)?
43*m**3
Let g(f) = -8*f**2 + 3*f**2 - 3*f + 6*f**2 - 2*f**2. Let i be 12 + -13 - -1*2. Let m be (0 + (2 - 10))*i. Let d(h) = 3*h**2 + 8*h. Determine m*g(p) - 3*d(p).
-p**2
Let o(m) = 19*m**3 - 20*m**2 - 21*m + 20. Let l(w) = -6*w**3 + 6*w**2 + 7*w - 6. Calculate -7*l(h) - 2*o(h).
4*h**3 - 2*h**2 - 7*h + 2
Let y = -8 + 3. Suppose 3*h = 34*h - 18662. Let q(d) = -h + 9*d**2 + 316 + 280 + 9*d. Let t(z) = -14*z**2 - 14*z + 9. Give y*t(v) - 8*q(v).
-2*v**2 - 2*v + 3
Let i(t) = -44*t - 12. Let q = 31276 + -31265. Let v(g) = -15*g - 4. What is q*v(f) - 4*i(f)?
11*f + 4
Let k(z) be the third derivative of -7*z**4/12 + 2*z**3 + 2*z**2 + 22*z. Let d be -2*(4 + 1) - 2. Let o(x) = x - 1. Determine d*o(b) - k(b).
2*b
Let v(o) = -3*o**2 - 4*o**3 - 4*o**2 - 5 + 3*o + 3*o**3. Let x(j) = 0*j - 13*j - 9*j**3 + 4*j**2 + 7*j + 3 + 4*j + 10*j**3. Give 3*v(a) + 5*x(a).
2*a**3 - a**2 - a
Let q(w) = -17*w - 3. Let n(p) = 33*p + 125. Let b(v) = -228*v - 914. Let x(s) = -6*b(s) - 44*n(s). Give -11*q(u) + 2*x(u).
19*u + 1
Let u(z) = -4*z - 9. Suppose 0 = -4*w + 5*w - 11. Let m(b) = 29*b + 118. Let i(j) = -671*j - 2750. Let c(n) = 2*i(n) + 47*m(n). What is w*u(o) + 2*c(o)?
-2*o - 7
Suppose 97*r + 331 - 105 = -259. Let u(d) = d + 1. Let n(h) = -h + 3. Let z(i) = 4*i - 10. Let o(y) = 7*n(y) + 2*z(y). Determine r*o(s) + 2*u(s).
-3*s - 3
Let m(p) = 3*p**3 + 2*p**2 - 1. Let q(s) = 8*s**3 + 6*s**2 + s - 489. Determine 6*m(z) - 2*q(z).
2*z**3 - 2*z + 972
Let a(d) = 1144*d**2 + 3*d - 320. Let t(u) = 381*u**2 + u - 113. | {
"pile_set_name": "DM Mathematics"
} |
7 - 47*t**2 + 135*t**2 - 318*t**2 - 17*t**3 + 16*t**3 - 172*t**2 wrt t?
-3*t**2 - 804*t
Let l(o) be the second derivative of 0*o**3 + 0*o**5 - 29/2*o**2 + 121*o - 1/4*o**4 + 0 - 11/10*o**6. Find the third derivative of l(t) wrt t.
-792*t
Let v(k) = -2*k + 8. Let y be v(3). Suppose y*u - 3*f = 7, -u + 2*u = 4*f + 6. What is the second derivative of 14*q + 16*q**2 - 11*q**u - 5*q + 3*q**2 wrt q?
16
Suppose -g + 33 = 2*g. Let y be ((-49)/(-21))/((-21)/(-18)). What is the second derivative of y*h**5 - g*h - 73*h**4 + 36*h**4 + 37*h**4 wrt h?
40*h**3
Differentiate 993*h**4 + 267*h**4 + 3208 - 22*h**4 + 1488*h**4 + 610*h**4 wrt h.
13344*h**3
Let p(i) = i**3 + 7. Let v(t) = -42*t**3 - 9*t**2 - 1145*t - 28. Let u(z) = -4*p(z) - v(z). Find the second derivative of u(d) wrt d.
228*d + 18
Let q(k) be the second derivative of 1793*k**7/21 - 331*k**4/4 - 445*k + 1. Find the third derivative of q(b) wrt b.
215160*b**2
Let f(d) = 5493*d**3 + 22*d**2 - 22*d + 7421. Let a(i) = -1099*i**3 - 4*i**2 + 4*i - 1484. Let h(k) = -11*a(k) - 2*f(k). What is the derivative of h(u) wrt u?
3309*u**2
Find the second derivative of 726*c - 4*c**5 - 66*c**4 - 1299*c + 791*c wrt c.
-80*c**3 - 792*c**2
What is the first derivative of 3904*r**4 - 59*r**2 - 60*r**2 + 119*r**2 + 3190 wrt r?
15616*r**3
Let f(m) be the third derivative of 2959*m**8/336 + 857*m**4/6 + 4165*m**2. What is the second derivative of f(w) wrt w?
59180*w**3
Let w(q) be the second derivative of 743*q**6/15 - 1748*q**2 - 5269*q. What is the derivative of w(z) wrt z?
5944*z**3
Let u(j) be the first derivative of 133*j**6/30 + 83*j**4/12 + 19*j - 151. Let r(t) be the first derivative of u(t). What is the third derivative of r(m) wrt m?
3192*m
What is the third derivative of 67*q**5 + 4*q**3 - 1844*q**2 - 622*q**2 + q**3 - 9*q**5 - 3042*q**2 wrt q?
3480*q**2 + 30
Let u(g) = -349*g - 1044. Let v be u(-3). Let f(k) be the first derivative of -26 + 0*k - v*k**4 - 16/3*k**3 + 0*k**2. Find the third derivative of f(a) wrt a.
-72
Let n(z) = -z**4 - 2*z**3 + 1. Let w(v) = -1704*v**4 + 6*v**3 - 3*v**2 + 179. Let a(t) = -3*n(t) - w(t). What is the third derivative of a(s) wrt s?
40968*s
Let x(z) be the second derivative of -922*z**5/5 - z**4/3 - 1177*z**3/6 - 92*z + 4. Find the third derivative of x(y) wrt y.
-22128
Let f(b) = 1894*b**4 + 4802*b - 5. Let x(g) = 5682*g**4 + 14403*g - 14. Let z(v) = -14*f(v) + 5*x(v). Find the second derivative of z(m) wrt m.
22728*m**2
Let x(u) be the third derivative of u**9/72 - u**8/84 + 1249*u**5/60 + u**3/6 + 1842*u**2. What is the third derivative of x(b) wrt b?
840*b**3 - 240*b**2
Let h be -4*(-3)/6*2. Let f = 32 - 20. What is the third derivative of 12*d - f*d - 3*d**2 + 0*d**2 + 2*d**h wrt d?
48*d
Let f(o) be the second derivative of 0*o**3 + 0 - 65/4*o**4 - 147/2*o**2 + 112*o. Find the first derivative of f(q) wrt q.
-390*q
Let d(y) = -y**2 + 9*y + 26. Let l be d(11). Find the second derivative of 18*w**4 - 1190*w - 1 + 1239*w - 6*w**l wrt w.
144*w**2
Let l(n) = 12266*n - 5824. Let i(x) = 2453*x - 1157. Let z(v) = -22*i(v) + 4*l(v). Differentiate z(y) with respect to y.
-4902
Let g(j) = j**2 + 495*j + 8062. Let d(o) = o**2 + 246*o + 4035. Let z(n) = -5*d(n) + 2*g(n). Differentiate z(b) with respect to b.
-6*b - 240
Let o(v) = v**2 - 10*v + 24. Suppose 5*c - 3*l - 33 = -l, -5*l = 4*c - 33. Let t be o(c). What is the derivative of -8 - 66*u**t + 39*u**3 - 6 wrt u?
-81*u**2
Let c be 5 + (-3 - 9/(54/(-7860))). Find the first derivative of 218 + 0*m**4 - m**4 - 1312*m**2 + 8*m**4 + c*m**2 wrt m.
28*m**3
Let b(f) = -6*f**4 - 520*f**3 + 3*f**2 + 396*f + 6. Let w(g) = 3*g**4 - g**3 - g**2 - g - 2. Let r(h) = b(h) + 3*w(h). Find the second derivative of r(i) wrt i.
36*i**2 - 3138*i
Let n(q) = 866*q**3 + 1997*q**2 - 40*q - 8. Let s(y) = -289*y**3 - 666*y**2 + 15*y + 3. Let g(l) = 3*n(l) + 8*s(l). What is the third derivative of g(w) wrt w?
1716
Let s(v) be the first derivative of v**6/2 - v**5 - 3*v**4/4 - 239*v**3 - v**2 - 2*v + 7758. What is the third derivative of s(i) wrt i?
180*i**2 - 120*i - 18
Let z(u) be the third derivative of -7*u**6/60 + 3*u**5/4 + 2659*u**3/6 + 8*u**2 - 150*u. Differentiate z(s) wrt s.
-42*s**2 + 90*s
What is the first derivative of -909*j**3 - 912 - 810*j**3 - 1337*j**3 - 2885 wrt j?
-9168*j**2
Suppose -8*c + 1443 = 107. Suppose c*l - 172*l + 15 = 0. Differentiate 10*p**3 + 39 + 11*p**l + 0*p**3 with respect to p.
63*p**2
Let k be 4 - -12 - 1/(0 + -1). Find the third derivative of -147*q**3 - 7 - k*q**2 + 5 + 0*q**2 - 42*q**3 - 7*q**2 wrt q.
-1134
Let o(c) be the first derivative of c**6/6 - 204*c**4 - 31*c**3/3 - 24*c - 736. Find the third derivative of o(k) wrt k.
60*k**2 - 4896
Find the second derivative of -413*t**2 - 2*t - 114*t**2 - 372 - 109*t**2 - 473*t**2 + 268*t**2 wrt t.
-1682
Differentiate -3733*r + 4781*r - 1318 + 1721 + 4155 with respect to r.
1048
Let n(s) be the second derivative of 2057*s**6/30 - 933*s**2 + 1284*s. Find the first derivative of n(g) wrt g.
8228*g**3
Let q(b) = 668*b - 747. Let w(h) = -666*h + 775. Let u(g) = 4*q(g) + 6*w(g). Differentiate u(l) with respect to l.
-1324
Let r = -1 + -31. Let i = 71 + r. Find the third derivative of 13*l**3 + 34*l**2 - i*l**3 - 11*l**2 wrt l.
-156
Let y(u) = -u**3 - 6*u**2 - 10*u - 6. Let j be y(-4). Differentiate -101*t**j + 10*t - 68 + t - 11*t wrt t.
-202*t
Let o(j) = 36*j**3 + 2*j**2 - 8*j + 21. Let v be o(6). Find the third derivative of -v*f + 7821*f - 51*f**2 + 33*f**3 wrt f.
198
Let c be (1 - (1 - (-102)/(-2))) + -4. What is the first derivative of -16 + c + 55*x**4 - 24 - 10*x**4 wrt x?
180*x**3
Let x(r) be the first derivative of 316*r**4 - 38*r**3/3 - 2*r**2 + r + 5557. Find the third derivative of x(a) wrt a.
7584
Let b be 4/(-3)*3 - 16. Let z = 24 + b. What is the third derivative of 14*c**4 - 21*c**2 - 26*c**z + 9*c**4 + 5*c**4 wrt c?
48*c
Suppose 120 = 2*w + 3*w. Let o(h) = w - 2 - 54 + 13*h. Let v(g) = -6*g + 16. Let n(a) = 4*o(a) + 7*v(a). What is the first derivative of n(x) wrt x?
10
Let d = 628 - 428. Suppose -5*t - 3*a + 185 = a, -d = -5*t - a. What is the first derivative of -4 - t*n - 1 - 3 + 25*n wrt n?
-16
Suppose -9*k + 49691 - 11864 = 0. What is the second derivative of 4240*u + 3 + 19*u**2 - 2 - k*u wrt u?
38
Let o(w) = 25487*w - 16170. Let y(a) = 849*a - 539. Let q(g) = -4*o(g) + 121*y(g). Differentiate q(n) wrt n.
781
Let d(u) = -11*u - 9. Let r be d(-1). Find the first derivative of -47*z**4 - 238 - r*z + 220 + 2*z wrt z.
-188*z**3
Let z = -10 - -14. Let f be ((-76)/(-6))/(14/105). Find the second derivative of -f*d + 120*d + 5*d**4 + 19*d**z wrt d.
288*d**2
Let h(y) be the first derivative of y**5/20 - 23*y**4/8 - 7*y**2 - 72. Let d(s) be the second derivative of h(s). What is the second derivative of d(j) wrt j?
6
Let m(y) be the second derivative of -137*y**4/12 - 2*y**3/3 + 1851*y**2/2 + 102*y - 4. What is the derivative of m(t) wrt t?
-274*t - 4
Let c = 584/321 - 52/107. Let k(p) be the third derivative of -11/20*p**5 + c*p**4 + 0 + 0*p + 30*p**2 + 0*p**3. Find the second derivative of k(r) wrt r.
-66
Suppose -18 + 2 = 4*a, 5*y = -2*a + 612. Suppose -13*q + 683 = y. Find the third derivative of -q*l**6 - 4*l**2 - 95*l**3 + 95*l**3 wrt l.
-5160*l**3
Let t be (3 + -1)/2*1 + 2. Suppose k - t - 6 = 0. What is the third derivative of -4*u**2 + u**2 - 18*u**5 + k*u**2 wrt u?
-1080*u**2
Suppose 2*x + 3*r = 5, -4*x - 5*r = -0 - 7. Let c be (12/(-3) - x)*17/(-2). What is the third derivative of 16*v**4 - 38*v**4 - v**2 + c*v**4 wrt v?
-120*v
Let k(d) be the third derivative of -281*d**2 + 179/24*d**4 + 59/20*d**5 + 0 + 0*d + 0*d**3. What is the second derivative of k(l) wrt l?
354
Suppose 25 = -3*u + 8*u. Let z be -3 - (u - 9 - 2). What is the second derivative of -10*f**z + 4 - 205*f + 199*f - 4 wrt f?
-60*f
Let c(a) = -61*a**3 + 65. Let u(j) = -185*j**3 + 195. Let n = -207 + 205. Let d(w) = n*u(w) + 7*c(w). What is the first derivative of d(k) wrt k?
-171*k**2
Suppose 2 = 2*z + 3*w + 7, -2*z + w + 7 = 0. Differentiate 25*j**2 - 11*j**2 - 2*j**2 + 6*j - 64 - 6*j**z wrt j.
12*j + 6
Let k(x) be the first derivative of x**4/2 - 495*x**2/2 - 3228*x + 7484. Differentiate k(t) with respect to t.
6*t**2 - 495
Let r(l) = -2*l - 22. Let m be r(-10). Let h be (m + 4)*(-44)/( | {
"pile_set_name": "DM Mathematics"
} |
orm j*i + d*i**2 + f*i**3 + h and give d.
-2
Express (2*x + 4 - 2 + 1)*(-902*x**2 + 2578*x**2 - 1 - 898*x**2) in the form g + f*x**3 + a*x**2 + p*x and give g.
-3
Express (268 + 1255 + 707)*(2*g**3 - 4 + 4) - 2*g**3 - g**3 + 2*g**3 as v*g**3 + x*g + q + z*g**2 and give v.
4459
Rearrange ((26 - 150 + 12)*(-3 + 3 - 2)*(4 + 1 + 0)*(1 + 1 - 3) - 3 + 1 - 4)*(-2*s + 0*s + s) to p + u*s and give u.
1126
Express (88891*w**2 - 4852*w - 44445*w**2 - 44448*w**2)*(2*w - 4*w + w) as o*w**3 + z*w + p*w**2 + f and give p.
4852
Rearrange 11*t + 218*t**2 - 222*t**2 + 293*t - 2 + 0 + 1 to b + a*t**2 + y*t and give y.
304
Express 836*l**4 - 2 + 832*l**4 + 50*l**3 - 5*l**2 - 2507*l**4 + 838*l**4 in the form p*l**2 + o*l**3 + q*l + t*l**4 + v and give t.
-1
Express (0*a + 2*a + a)*(4*a**3 + 4 - 4) + 334*a**4 - 532*a**3 + 532*a**3 as x*a**3 + f*a**2 + q*a + g*a**4 + h and give f.
0
Express 2*m - 302*m**2 - 12 + 92*m**2 + 114*m**2 + 22*m**3 - 2 + 91*m**2 as i + g*m + u*m**3 + t*m**2 and give g.
2
Express 15104*w - 552*w + 4437*w - 3 + 3 in the form x + i*w and give i.
18989
Express -4734*a - 1109*a + 21856*a + 6241*a as j + g*a and give g.
22254
Express 12403*o - 8243*o + 4251*o in the form l*o + t and give l.
8411
Rearrange -3*p**2 + 0*p**2 + 38 - 2*p**2 - 258 - 88 to the form r*p**2 + g + o*p and give g.
-308
Rearrange 3245*o + 8508*o + 273*o + 14307 - 14307 to q + j*o and give j.
12026
Rearrange 305*n + 86*n + 84*n to t + z*n and give z.
475
Express 26*l - 58*l - 1 + 337*l**3 + l**4 - 2*l**2 + 2 + 35*l in the form j*l + w*l**2 + c*l**4 + p*l**3 + n and give w.
-2
Express 3*h + 83 - 3*h**3 - 2*h + 344 - 2*h**2 as w*h + k*h**3 + q*h**2 + t and give q.
-2
Express -u**2 - 32 + u + 42 - 31 - 4*u**3 as f*u**3 + p*u + a*u**2 + y and give a.
-1
Rearrange t - t**3 - 435 + 23472*t**2 - 23473*t**2 - 1612 + t**4 to f*t**3 + m*t**4 + p + l*t**2 + q*t and give l.
-1
Rearrange 4*b**2 - 2*b**4 + 4622867*b + 0*b**4 - 4622866*b - b**3 - 2*b**2 + 37 to the form k + u*b**2 + a*b**4 + j*b + g*b**3 and give u.
2
Rearrange -638*z - 791*z - 1197*z to p*z + n and give p.
-2626
Rearrange (3 + 3 - 4)*(1550886 - 7188*i - 1550889 - 926*i) to o*i + t and give t.
-6
Express 4886*d**2 - 301*d + 4897*d**2 - 9781*d**2 - 4*d**3 in the form v + g*d**2 + b*d**3 + r*d and give g.
2
Rearrange ((0 + 1 + 0)*(3*a - a - 4*a) + (103 - 103 + 4*a)*(-16 - 10 - 24))*(4*a - a + a) to the form y*a + j + m*a**2 and give m.
-808
Rearrange -4347*t - 7871*t - 646*t - 2799*t to f*t + a and give f.
-15663
Rearrange -82 - 31*s**2 + 29*s + 57*s**2 + 84 to the form l*s + q + h*s**2 and give l.
29
Rearrange -10*c - 8*c**3 + 312 + 315 + 2*c**3 - 898 + 270 to the form t*c**3 + f + x*c**2 + r*c and give f.
-1
Express -301 + 238 - 21*j**2 + 222*j**2 + (-j + j - 2*j)*(2*j - j + 0*j) as k + o*j + g*j**2 and give o.
0
Express (-2*v - 2*v + 2*v)*(6 + 0 - 4) - 3*v + v + 7*v + (21 - 6 + 16)*(-3*v + 8*v - 2*v + (3*v + 0 + 0)*(7 - 2 + 3)) as d*v + y and give d.
838
Rearrange 32 - 21029*d**2 + 10509*d**2 + 10512*d**2 to i*d + k*d**2 + u and give u.
32
Express -2*n - 36467 + 36474 + 2*n - 32*n**2 + 0*n as u*n**2 + i*n + p and give u.
-32
Express (0*f + 0*f + 2*f)*(-5 + 31 - 2) + 3*f + 2 - 2 + 1568 + 103*f - 1568 as x + q*f and give x.
0
Rearrange (3*i**2 - 4*i**2 - i**2)*(-143 + 138 + 756) + 2*i - i**2 - 2*i + (3*i + 0*i - 5*i)*(-i - 5*i + 4*i) to q*i + w*i**2 + t and give w.
-1499
Express 49*d + 4*d - 51*d - 12 + 10*d - 25 + 25 + (5 - 2 - 4)*(-d + 3*d + 0*d) in the form u*d + p and give p.
-12
Express -9 + 2*t**3 + 2*t**3 + 41*t**2 + 2*t**3 - 38*t**2 - 2*t + 6*t as o*t**2 + c + p*t**3 + x*t and give o.
3
Rearrange -5*a**2 + 2212*a**3 - 2210*a**3 + 9*a**2 - 59 + 7*a**2 + 11*a**2 to f*a + q*a**2 + c + v*a**3 and give q.
22
Express (-4 + 2*o + 0*o + 2)*(-2 - 3 + 4) - 37065 - 307854*o + 307858*o + 2720 in the form f + y*o and give f.
-34343
Express 14 - 6*u + 2*u**4 - 10*u - 3*u**3 - 12 + 21*u as g + y*u**4 + w*u**3 + b*u**2 + p*u and give b.
0
Rearrange (-3*q + 3*q - 2*q)*(-3 - 3*q**2 + 3) + 695*q**3 - 1673*q**3 - 970*q**3 to t*q**2 + g + f*q**3 + o*q and give f.
-1942
Express -210*q**2 - 7636*q**2 + 29*q**2 in the form i*q**2 + o*q + g and give i.
-7817
Express 0*w + 627*w**2 - 188576*w**3 + 2*w + 188574*w**3 in the form u*w**2 + m*w**3 + l*w + j and give m.
-2
Express 6 - i**3 + 255*i**4 - 3*i - 2*i**2 + 342*i**4 - 595*i**4 as a*i**4 + u*i**2 + v + o*i + y*i**3 and give v.
6
Rearrange (5357*s + 2102*s - 773*s)*(-5 + 3*s + 5) to n*s**2 + w*s + u and give n.
20058
Rearrange (2 - 4 + 1)*(-202 - 7073*b - 280 + 482) to f + v*b and give v.
7073
Rearrange -486*j - 2*j**2 + 5*j**3 + 0 - 1 + 444*j to the form b + q*j**2 + f*j**3 + i*j and give b.
-1
Express (-2 - 4 + 5)*(-73 - 162 + 108)*(-1 + 1 - 2)*(-p + 1 - 1) in the form j + n*p and give n.
254
Express b**2 + b**2 - 52 - 56 + 6*b**3 + 2*b + 157 - 52 - 2*b**4 as v*b**4 + j*b**3 + y*b**2 + i*b + k and give v.
-2
Rearrange -68367*x - 4 + 39892*x + 4 to a*x + y and give a.
-28475
Express 4*d**3 + 36002848*d**2 + 263 - 36002848*d**2 - d as j*d + a + i*d**3 + h*d**2 and give i.
4
Express -13*d + 12 - 18*d - 13*d - 8 - 6 as o + g*d and give o.
-2
Rearrange (2*l - 5*l + 5*l)*(2 - 3 + 2)*(59*l - 28*l + 20*l) + l**2 + 0 + 0 + (3*l + 4*l - 4*l)*(-9*l - 10*l + 15*l) to y*l + a*l**2 + k and give y.
0
Express 28*d**3 + 4*d + 0*d**3 - 9*d**3 - 3*d**2 + 60 - 17*d**3 + 2*d as y + x*d**2 + n*d + i*d**3 and give y.
60
Rearrange 0 - 106*b**2 + 985*b**2 - 3 + 634*b**2 + 238*b**2 to l*b**2 + g + j*b and give g.
-3
Express 98*b - 385*b**2 + 129*b**2 - 1 + 125*b**2 + 130*b**2 in the form g*b**2 + a*b + q and give a.
98
Express (101 - 98 + 72)*(2 + 2 - 2)*(-66*y + 65*y + 102*y) in the form u*y + c and give u.
15150
Express -v**2 - 3*v**3 + 8 + 113*v**4 + 107*v**4 - 2*v + 115*v**4 - 16*v - 328*v**4 as n + t*v**4 + z*v**3 + r*v + d*v**2 and give n.
8
Rearrange -92*f - f**2 + 71*f - 3 + 44*f + 4*f**2 - 9*f**2 to v*f**2 + t + q*f and give t.
-3
Rearrange ((-2 + 2 - 2)*(-22 + 22 - 9*a) + (6 - 2*a - 6)*(0 - 3 + 1) - 4 + 4 - 2*a)*(1 - 1 + 2) to c + g*a and give g.
40
Express 1710 - 340*q**2 - 850 + 118*q - 856 - 207*q**2 - 119*q as m*q**2 + a + i*q and give i.
-1
Express 1 - 1602*x**4 - 61*x + x**2 + 2*x**2 + 1604*x**4 as a*x + u*x**3 + d*x**2 + j*x**4 + s and give j.
2
Express -37*p**3 + 6054*p + 6044*p + 2*p**2 - 11973*p in the form j + l*p**3 + d*p + u*p**2 and give l.
-37
Rearrange (0 - 1 + 5)*(348 - 690 + 342 - 2621*n) + 4*n + 0*n - 2*n to the form r*n + x and give r.
-10482
Rearrange 3*m**3 + 2*m**3 - 3*m**3 + (1 + 5 - 5)*(-380*m - 6240 + 6240)*(-5 + 5 + 3*m**2) to r*m**3 + o*m + x*m**2 + a and give o.
0
Express -12396 + 12396 + 595*l**2 in the form o*l**2 + f*l + b and give o.
595
Express -3267 - 6*u**2 + 2258 - u**3 + 4*u**2 - 3122 as h + n*u**3 + b*u + j*u**2 and give j.
-2
Express (2 - 3 - 2)*(48 + 37*x - 17*x + 85*x - 38 + 15*x) as z*x + m and give z.
-360
Rearrange 2 + 1196*k - 8367*k + 1063*k to m*k + g and give g.
2
Express (-38*p - 319 + 319 + p + 3*p - 2*p + (p - 3*p + 4*p)*(3 - 4 - 1))*(1 + 2 - 5) in the form c*p + o and give c.
80
Rearrange (-3*n - 92*n - 17*n)*((4 - 4 + 3)*(-13 - 2 + 1) + 2 + 0 + 0) to the form t*n + a and give t.
4480
Rearrange -1962*c**2 + 2154*c**2 + 1291*c**2 + 2378*c**2 to n + q*c + p*c**2 and give p.
3861
Express -2*u**2 - 6*u**2 + 3*u**2 + (49 + 71 + 60)*(-7*u**2 - 3*u**2 + 2*u**2) in the form w*u**2 + s*u + b and give w.
-1445
Express -35929204 + 35929204 + 10099*d**2 as i*d + r + n*d**2 and give n.
10099
Rearrange 2*n - 2 - 2*n**2 - 16*n**2 - 2*n**2 - 6*n**2 - 41 to v*n + d + r*n**2 and give r.
-26
Rearrange -34 + 21 + 10*w**2 + 59 + 2*w**3 - 11*w + 6*w to m*w**3 + s + f*w**2 + v*w and give f.
10
Rearrange (t**2 + 0*t**2 - 4*t**2)*(-814 + 1851 - 893 + (1 - 8 - 2)*(-4 + 0 + 2)) to f*t**2 + w*t + k and give f.
-486
Rearrange (-2*c + 0*c + 0*c)*(47*c - 90*c + 98 + 46*c) to m + i*c + j*c**2 and give j.
-6
Express 458*p**2 - 432*p**2 - 2*p + 3184 - 3188 as t + h*p + m*p**2 and give h.
-2
Rearrange (3*r + 3*r - 4*r)*(-50 - 51 - 215*r + 101)*(7*r - 12*r - r) to the form w*r**3 + h*r + p + b*r**2 and give w.
2580
Express -45 - 18 + 2563*z**2 + 63 + 5829*z**2 as g*z**2 + q*z + w and give g.
8392
Express (4 - 4 + 110*x + 508*x)*(-1 - 1 + 1)*(2*x**3 + 20*x**3 + 4*x**3) in the form k* | {
"pile_set_name": "DM Mathematics"
} |
Solve 0 = -f*s - 2 + 6 for s.
2
Let s(j) = -4*j + 16. Let c be s(6). Let i(h) = h + 13. Let k be i(c). Solve -21 + 6 = -k*r for r.
3
Suppose -37*g + 40*g - 35*g = -1088. Solve -32*l = -g*l + 4 for l.
2
Let c = -4657 - -4659. Let p be (-1)/2*(-4 - (9 + -5)). Solve -p = -c*t + 6*t for t.
-1
Suppose 0 = -5*d - 4*u + 100, 0 = 2*d + 42*u - 41*u - 37. Solve 23*j = 32*j - d*j for j.
0
Suppose -316 = -s - 299. Solve -6 = 23*v + s for v.
-1
Suppose 11 = 12*x - 25. Suppose -4*p = 4*o - 12, -3*o = -0 + x. Solve -p*s = -7*s + 12 for s.
4
Let f be 868/42 - 20 - (-58)/3. Solve -16*y + f*y = -8 for y.
-2
Suppose -3*q = q + 264. Let v = q + 72. Let w(r) = r**3 - 6*r**2 + r - 4. Let l be w(v). Solve 10 + l = -3*n for n.
-4
Let x(d) = 5*d**2 + 7*d + 13. Let f(t) = 27*t**2 + 35*t + 68. Let k(q) = 2*f(q) - 11*x(q). Let a be k(-2). Solve -5*p + 4*p - a = 0 for p.
-3
Let j(g) = -g**2 + 16*g + 10. Let a(d) = -4*d**2 + 49*d + 29. Let s(z) = -2*a(z) + 7*j(z). Let w be s(-14). Solve -2*o + w = 2*o for o.
3
Let w(i) = 3*i + 18. Let l be w(-5). Suppose -1 = -d - 8. Let c(s) = s**2 + 10*s + 23. Let t be c(d). Solve l*z = -t*z for z.
0
Suppose -125*x - 13951 + 93151 = 73*x. Solve -x*y = -396*y + 4 for y.
-1
Suppose 2*c + 2*c = -5*l + 17, 5*l - 35 = 5*c. Suppose -3*s = -l*s - 10. Let z be (-8)/s - (-18)/150*-5. Solve 0*v = -v + z for v.
1
Suppose 0 = -2*c + 20 - 2. Suppose -177*m + 179*m = 5*r - 3, 4*r - m - 9 = 0. Solve -c*g = -r*g for g.
0
Suppose 0 = 3*d - 4*d + 3. Suppose -140*n + 141*n + 3*k = -12, -5*k - 36 = -n. Solve -h = -n + d for h.
3
Let q be 76/(-8)*2*-1. Suppose 5*c + 4 - q = 0. Suppose -4 = c*z - 5*z. Solve z*f - 1 = 1 for f.
1
Let j(x) = 2*x**2 + 54*x + 32. Let y be j(-26). Let z(w) = -w**2 - 21*w - 12. Let o be z(y). Solve -2*p - o = -4 for p.
-2
Suppose 141 + 64 = 5*q + 5*r, 2*q - 4*r = 46. Solve 24*f = -11*f - q for f.
-1
Let v be (-5 - 18/(-4))*0. Suppose u + 2 - 17 = -4*o, -5*o - 4*u + 16 = v. Solve o*t = t - 6 for t.
-2
Suppose -4*y - 15 + 31 = 0. Let a be ((-12)/y)/(-12) + 15/4. Let x be 5/(11/(-3) + a). Solve -2*o - o = -x for o.
5
Suppose -35*m + 1362 = -4212 + 744. Solve -132*k + m*k = -12 for k.
-2
Let l be (86/(-3))/((-18)/27). Suppose 4*m - s - 22 = 18, -3*m + l = -4*s. Suppose 4*p = m - 1. Solve p*k + 6 = 5*k for k.
2
Let j(b) = 10*b**2 + 16*b - 29. Suppose 392*s + 26 = 405*s. Let z be j(s). Solve -6 = z*u - 41*u for u.
-3
Let j be 30/(-5)*(-20)/8. Solve 0 = -j*d + 17 - 2 for d.
1
Let b = -469 + 472. Suppose 2*r - 52 = -4*p, -3*p - b*r = 2*p - 66. Solve p = -3*d + 7*d for d.
3
Let p(l) = -11*l - 10. Let s(d) = -5*d - 5. Let y(c) = 2*p(c) - 5*s(c). Let a be y(7). Let g = -21 + a. Solve -g*z - 9 + 29 = 0 for z.
4
Let b(z) = z**3 + 2*z**2 + 4. Let p be b(0). Suppose -3*l + 25 - p = 0. Solve l*f - 6*f = 4 for f.
4
Let u = 1283 - 1283. Solve u = -2*q + q - 3 for q.
-3
Suppose 144*w = 145*w - 12. Suppose -28*n = -34*n + w. Solve c = -1 + n for c.
1
Suppose -5*f + 3*i + 2 = -3, 5*f - 45 = -5*i. Let t = -86 + 86. Suppose a - 3 = -3*h, -6*a + 5*a + 2*h - 2 = t. Solve a = -f*u + 6*u + 4 for u.
-2
Let w = -12 - -18. Let y be (3 - 1)*222/12. Solve 35*a - w = y*a for a.
-3
Let k be (-3 + 4)*0/(1/(-1)). Let v be (-3 - -8) + -1 + (2 - k). Solve b + v = -b for b.
-3
Let f(w) = -w**3 - 15*w**2 - 7*w + 100. Let a be f(-14). Suppose -2*t = r, 5*t = a*r + 3*r - 15. Solve r*m - 15 = -11 for m.
2
Suppose 5*k - 9 = -4. Suppose 0 = 5*f - f - 3*s - k, -2*f + 13 = s. Suppose 3*r - f*r + 20 = 0. Solve 5*u = -0*u - r for u.
-4
Suppose -8*x + 183 - 791 = 0. Let p = x + 86. Suppose -2*b = -3*b + 5. Solve p = b*f - 15 for f.
5
Let s(n) = -n**3 - 16*n**2 - 21*n - 14. Let x be s(-15). Let w = -79 + x. Let r be (0 - (-6)/(-2))/(w/2). Solve 0 = -r*m + 4 + 2 for m.
3
Let a(v) = 4*v + 46. Suppose -340 = 4*i + b, -2*i - 4*b = -i + 100. Let y = -94 - i. Let r be a(y). Solve r*w + 10 = w for w.
-2
Let q be (528/40 + -12)/(1/(-30)). Let i be 8/q - (-14)/63. Solve -4*o - 2*o + 6 = i for o.
1
Let v = -224 - -228. Suppose -v*b - 24 + 32 = 0. Solve 0 = 5*c + b - 22 for c.
4
Let f(j) = -2*j**2 - 49*j + 876. Let s be f(12). Solve s = 37*m - 158 + 47 for m.
3
Let n(w) = -w**3 - 13*w**2 - 12*w + 3. Let k be n(-12). Suppose -10 = -5*b + 2*u, -3*u = -7*u - 20. Let c = -5 - -5. Solve v + b + k = c for v.
-3
Suppose f - 2 = 0, 2*f - 39 = -4*o - 23. Suppose 0 = 4*v - 4*k, 2*v + 3 = o*k - 2. Solve -v*m - 6 = -2*m for m.
-2
Let q(g) be the first derivative of 9*g**4/4 + 3*g**2/2 - 2*g + 11. Let r be q(1). Solve j = -j + r for j.
5
Suppose 12 = -3*t, 0 = 3*h + 4*t + 8 - 1. Suppose 0 = -3*f - h*g + 24, 1 = f - 2*g - 7. Solve 5*k + f = 3 for k.
-1
Let l be 90 - 1 - (-3 - (-32)/4). Let p = l + -76. Solve d - p = 5*d for d.
-2
Let s(v) = -v + v**3 - 35*v**2 + 4 - 38*v**2 - 41*v**2 + 116*v**2. Let u be s(0). Suppose -i = i - 30. Solve -z = -u*z - i for z.
-5
Let d be (-34)/51 + (-8)/6. Let i be 32/14 - 6*d/(-42). Solve -i*z = -2 - 4 for z.
3
Let u be 10496/1536 - (0 + (-5)/(-6)). Solve 1 = u*v + 13 for v.
-2
Suppose 5*t = 5*m - 520, -4*m - 136 + 552 = 4*t. Let u = m + -104. Solve u*k = -3*k - 15 for k.
-5
Let p(t) = -4*t - 10. Let a be p(-4). Suppose 0 = -a*o + 3*o + 3*k + 3, -5*o + 45 = 3*k. Let f = 10 - 8. Solve f*i - 2 + o = 0 for i.
-2
Let x be 2/(-7) + 2752/224. Let f be (-192)/18*((-39)/x - -1). Solve z - f = 7*z for z.
-4
Let k be 35 - (450/(-9))/(-5). Let j = -30 + 40. Solve k = 5*l - j*l for l.
-5
Suppose 249*l - 488*l = -255*l + 32. Solve 0 = 22*y - 24*y - l for y.
-1
Let v = 29 - 29. Suppose 483 = 2*z - 6*z + 507. Solve v = -0*l - z*l - 12 for l.
-2
Let c(m) = -m**2 - 42*m - 75. Let u be c(-40). Solve u*o + 204 = 184 for o.
-4
Let i(k) be the second derivative of -k**5/20 + 7*k**4/6 + k**3/3 - 12*k**2 + 145*k. Let f be i(14). Let s = -14 + 24. Solve -f*b + s = -2 for b.
3
Let g = -246 + 246. Solve g = 5*t - 14*t for t.
0
Suppose 48*k = -5 + 5. Solve -2*f - 107 + 103 = k for f.
-2
Suppose -5*v + 2 - 111 = -4*z, -3 = 3*v. Solve 9*s = -z*s - 210 for s.
-6
Let j be ((-70)/(-40) - 1)/(3/20). Suppose 0*f + 5*f + j*h - 45 = 0, h = 4. Solve -3*w = -f*w + 4 for w.
2
Suppose 4*b = 8*b - 5*z - 31, 0 = 5*b - 5*z - 35. Let i be (b/(-6) - 0)/(114/(-171)). Let k be (13 - 14) + i*4. Solve -k*y + 4 + 2 = 0 for y.
2
Let y = -20421 - -20463. Solve -19*h - y - 53 = 0 for h.
-5
Let l be -2 + ((-4)/(-4) - -19). Suppose 4*s - 4*o = l + 14, o + 32 = 5*s. Solve s*r = 11*r - 5 for r.
1
Let v(o) = -3*o**3 - 163*o**2 + 112*o + 126. Let r be v(-55). Solve -a - r*a = -85 for a.
5
Let p be ((-30)/(-20))/(1/2). Suppose 12 = 2*g - p*o - 2*o, 3*g = -2*o - 1. Let a be (-2)/(-4*g/(-4) - 2). Solve -5 = b - a for b.
-3
Suppose 5*p - 88 = -n, 14*p + 4*n = 11*p + 46. Solve -15 + 159 = p*x for x.
8
Let r be (-1 - (-1)/7)/(162/(-756)). Solve 0 = r*p - 6*p + 4*p for p.
0
Suppose -6*s = -13*s + 14. Suppose 0*a = -d - 3*a + 8, -4*d - s*a + 22 = 0. Solve -d = -3*f + 10 for f.
5
Suppose 3*h - 24 = m, 5*m - h + 30 + 104 = 0. Let f = 41 - m. Let v = 77 - f. Solve -3*g + 0*g = -v for g.
3
Let f = 8279 - 8194. Solve 68*y - 51 = f*y for y.
-3
Suppose u - 542 = -3*l, -2*l - 174 = -3*l + 3*u. Let g = 180 - l. Solve g = -x - 4 for x.
-4
Let a(s) = 2*s**2 + 57*s + 471. Let w be a(-12). Solve -19 = 14*k - w for k.
4
Let q be 2/(-5)*10 + 64 + 12. Solve 6*j = 36 - q for j.
-6
Let g be ((-2976)/(-1632))/(2/34). Solve 0 = 22*x + 57 + g for x.
-4
Suppose -3*g + 128 = t + 110, 0 = -2*t - 2*g + 56. Solve -25*o = -t - 17 for o.
2
Suppose 4*j = 3*q + 320, 80 = -j + 2*j - q. Let x = j + -82. Let n = x - -5. Solve 0 = -n*z + 2 + 1 for z.
1
Let p(x) = -22*x - 22. Let t be p(-1). Suppose 6*c + 36 = 3*c. Let l = c - -14. Solve t*q - 2 = -l*q for q.
1
Let w(p) = p**3 + 7*p**2 + 11*p + 43. Let j be w(-6). Suppose q = -3*s + 23, 2*s - q = s + j. Solve 4 = 5*i + s for i.
-1
Let t(h) = -3*h**2 - 2*h - 5. Let u be t(-9). Let j = u - -236. Solve 3*n + j = 3 for n.
-1
Suppose -3*r + 4*r = 2*s + 3, 0 = s + 2*r - 6. Suppose 3*c = -2*u - 2*u + 55, -2*u + c + 35 = s. Let a = -15 + u. Solve i - 2*i = a for i.
-1
Suppose -3*d - 22 = -5*n, -8 = -n + 6*d - 9*d. Suppose 5 = -n*o + 20. Solve 3 = o*c + 18 for c.
-5
Let u be 10*6/(-12) - -47. Let o = 45 - u. Solve 8 = -o*k + 2 for k.
-2
Suppose 3*h = r - 2102, -16*h + 17*h + 5*r = -690. Let u = -670 - h. Solve -7*z = -z - u for | {
"pile_set_name": "DM Mathematics"
} |
when (-1 + -78 + 1)/h is divided by 10.
9
Let c be 76/(-5)*10/(-4). Suppose 15*j - c = 13*j. What is the remainder when 75 is divided by j?
18
Let l = -339 + 531. Suppose 2*x - r + 70 = l, 5*r - 290 = -5*x. Calculate the remainder when x is divided by 21.
18
Let r(q) = -q**3 - 22*q**2 - q + 26. Calculate the remainder when r(-22) is divided by 17.
14
Suppose a = 2*a - 2. Suppose u - 5 = 2*l, a*l + l = -6. Calculate the remainder when 7 is divided by (-12 - 3)/(-3)*u.
2
Suppose 0 = 5*a + 4*v - 241, v - 65 + 286 = 5*a. Calculate the remainder when a is divided by 25.
20
Suppose -4*n = -16, 2*q - 1 - 5 = -2*n. Let y(u) = u**3 + 2*u**2 - 3*u + 3. Let p be y(-3). What is the remainder when 111 - (-1 + q + p) is divided by 28?
26
Let g = -66 + 71. Suppose 5*j - 3*a - 671 = 0, -803 = -g*j + a - 126. Calculate the remainder when j is divided by 35.
31
Suppose 12 = -o + 4. Calculate the remainder when (-4 + 9/(-6))*o is divided by 15.
14
Let q = -57 - -59. Suppose -v = q*v - 153. What is the remainder when v is divided by 14?
9
Let k = -59 - -83. Suppose 3*i - k - 6 = 0. What is the remainder when i is divided by 4?
2
Let v be (-42)/35*(-10)/3. Suppose 3*z = v*z. Suppose z*s = s - 26. Calculate the remainder when 49 is divided by s.
23
Suppose 4*t + 40 = 6*s - 4*s, -t = -5. What is the remainder when s is divided by 21 + (-60)/(12/2)?
8
Suppose 233 = 3*w - t, -2*w - t + 98 = -59. What is the remainder when w is divided by 20?
18
What is the remainder when 588 - 12/8*(-24)/(-9) is divided by 5?
4
Let n(b) = -b**3 - 4*b**2 + 35*b + 16. What is the remainder when n(-9) is divided by 12?
10
Suppose 2 = -5*k + 12, 2*t = k + 66. Calculate the remainder when 202 is divided by t.
32
Let l(r) = -r**2 + r + 16. Suppose 4*x - 5*a + 4 = -1, -3*a + 3 = x. What is the remainder when 1729/28 + 6/(-8) is divided by l(x)?
13
Let m(r) = 14*r + 608. Suppose 4*a + 5*o = 7, 3*a - 13 + 4 = -3*o. Suppose 0 = -2*f - 0*f + a. Calculate the remainder when m(-43) is divided by f.
2
Let c(u) = u**3 + 13*u**2 + 17. Calculate the remainder when c(-13) is divided by 6.
5
Suppose -63 + 129 = 11*m. Calculate the remainder when 187 is divided by m.
1
Let l = -34 + 30. Let z = l + 13. What is the remainder when 17 is divided by z?
8
Suppose -2*g + 0*g - 3*g = 0. Let y = g + 12. What is the remainder when 35 is divided by y?
11
Let t(f) = 149*f - 6. Let u be t(2). Let g = 450 - u. Calculate the remainder when g is divided by 40.
38
Let o(p) = 3*p**3 + 1. Let t be ((-30)/(-45))/(1/27). Let j(q) = -q**3 + 17*q**2 + 19*q - 16. Calculate the remainder when o(1) is divided by j(t).
0
Let v(i) = 2*i**2 - 15*i + 15. Let b(f) = f + 2. Let h be b(0). Suppose 12 = -h*s + 34. What is the remainder when v(s) is divided by 31?
30
Let a be (679 - 1)*14/(-42). What is the remainder when a*9/(-54) - (-4)/3 is divided by 14?
11
Let i = 1 + 3. Suppose 3*g - 25 = 2*u, 2*u = i*g + g - 23. Let m = 51 + u. What is the remainder when m is divided by 13?
11
Suppose 0 = -18*d + 250 + 200. What is the remainder when 50 is divided by d?
0
Let k(t) = 8*t - 261. Calculate the remainder when 121 is divided by k(33).
1
Let f(s) = s**2 + 10*s - 11. Let a be f(-10). Let g(v) = v + 11. Let l be g(a). Suppose l = -z + 2*z - 34. What is the remainder when z is divided by 9?
7
Let l = 956 - 915. Suppose -11 = 3*g + 4. Let n = g + 27. What is the remainder when l is divided by n?
19
Let a(l) = l**2 + 4*l + 9. Let t = -1718 - -2762. Suppose -q + t = 8*q. Calculate the remainder when q is divided by a(-7).
26
Suppose -4 = 4*g, 17*g - 12*g - 234 = -l. Calculate the remainder when l is divided by 60.
59
Let n = 138 - 95. Let z(q) = q**3 + 15*q**2 - 17*q - 5. Calculate the remainder when n is divided by z(-16).
10
Suppose -3*p + 3*z - 30 = 0, -2*p - 10 = -p - 5*z. Let i = -3 - -7. Calculate the remainder when (-3 + p)*(-5 + 4) is divided by i.
1
Let d(a) = a**3 - 5*a**2 + 5*a - 1. Let f be d(4). Suppose 3*g - 64 = -2*r - f*r, -3*g - r = -44. Calculate the remainder when g is divided by 8.
5
Let x(r) = r - 4. Let c be x(7). Suppose -70 = -2*a - c*a. Let s = 33 - a. What is the remainder when 37 is divided by s?
18
Suppose 2*r - 375 = 3*k, 17*r - 5*k - 562 = 14*r. What is the remainder when r is divided by 28?
21
Let g = -255 - -277. What is the remainder when g is divided by 9?
4
Let f = 437 + -409. What is the remainder when 44 is divided by f?
16
Let s(m) = -m + 2. Let f be s(2). Let q = 6 - -1. Suppose f = -y + q*y - 78. Calculate the remainder when y is divided by 8.
5
Let b(q) = -130*q + 102. What is the remainder when b(-2) is divided by 33?
32
Suppose 3*s - 529 = -115. Let h = -97 + s. What is the remainder when h is divided by 7?
6
Let h(w) = 45*w**2 - 24*w - 111. Calculate the remainder when h(-4) is divided by 12.
9
Let r(n) = n**2 + 4. Let p = -155 + 158. Suppose 4*a - 199 = p*l, -l = 5*a - 0*l - 244. Calculate the remainder when a is divided by r(3).
10
Let s = -79 - -83. Calculate the remainder when 50 is divided by ((-16)/(-3))/s*360/16.
20
Let n be (9/(-3) - (-12)/2)/1. What is the remainder when (0 + (-45)/(-25))/(n/45) is divided by 10?
7
Let f(b) = b**2 - 4*b + 2. Let g be f(5). Let i(j) = j + 7. Let z be i(0). Let p = z + g. Calculate the remainder when 55 is divided by p.
13
Suppose 3*g = -13 + 226. Let o = -86 - -98. Calculate the remainder when g is divided by o.
11
Suppose -2*h = 3*n - 4, -4*h = n - 4*n + 28. Let k(i) = i**3 + i**2 + 37. Calculate the remainder when k(0) is divided by -16*(h - -3) - (3 - 0).
11
Calculate the remainder when (-1450)/(0 + -5)*(-7)/(-14) is divided by 37.
34
Let y be (2 + (0 - -3))*-1. Calculate the remainder when (0 + 4/8)*22 is divided by (-7 - y)*(-3 + 1).
3
Let q(d) = d + 2. Let r be (1/(-3))/(1/(-9)). Let t be q(r). Suppose -h + 3*h - 44 = x, -5*h + t*x = -110. Calculate the remainder when h is divided by 5.
2
Suppose 2*b - 48 = 70. Suppose -4*m = -0*m + 12, -2*l - 2*m + 28 = 0. Suppose 4*f - r = 77 - l, 2*r - 30 = -2*f. Calculate the remainder when b is divided by f.
14
Let k be 1/3 + 35/3. Let d be (44/36 - (-10)/(-45)) + 10. Suppose k = z - d. What is the remainder when 89 is divided by z?
20
Let i = -3 + -69. Let c = 90 + i. What is the remainder when 28 is divided by c?
10
Let c(z) = 9*z**2 + 2*z + 1. Suppose -4*n + 136 = 5*f + 19, n + 4*f = 21. Calculate the remainder when (-2296)/(-77) - (60/n + -2) is divided by c(-1).
6
Let m be (-4 - (-11)/2)*2. Suppose m*c - 8*c = -50. Calculate the remainder when 11 is divided by c.
1
Let g(n) = -5*n - 30. Let w be g(-7). Suppose 3*u - 73 = 4*z, 3*z - 89 = u - w*u. What is the remainder when 44 is divided by u?
21
Let n(h) = -h**2 + 13*h - 12. Suppose -a + 5*x + 20 = 0, 5*a + 4 - 20 = -3*x. What is the remainder when 82 is divided by n(a)?
26
Suppose h + 3*p = 206, -5*p = -39 + 14. Calculate the remainder when h is divided by 16.
15
Let c(f) = 48*f - 22. What is the remainder when c(2) is divided by 38?
36
Let n = 325 + -76. Suppose -3*o + 334 = 4*q, -3*q + 0*q - 3*o = -n. Calculate the remainder when q is divided by 30.
25
Let n(m) = -m**3 + 36*m**2 + 203*m + 84. Calculate the remainder when 16 is divided by n(41).
0
Suppose 3*t + 76 = -2*m, -t + 3 = -3*m + 21. Let a be 2/(-6) + (-128)/t. Suppose a*g - 46 - 79 = 0. What is the remainder when 47 is divided by g?
22
Suppose -2*s + 11 = -4*m - 17, -3*m - 24 = -2*s. Calculate the remainder when 347 is divided by s.
5
Suppose -l - 2916 = 2967. Let w be l/(-21) - 2/14. Suppose -2*j - 5*y + 0*y = -121, -5*y + w = 5*j. What is the remainder when j is divided by 14?
11
Let b = 265 - 218. Calculate the remainder when 135 is divided by b.
41
Suppose 66 = 5*w - 449. What is the remainder when w is divided by 26?
25
Let q = 40 - 28. Calculate the remainder when 69 is divided by (-9)/q*(-1 - 23).
15
Suppose 5*r = 3*q - 17, 36 = 3*q + 5*r - 31. Let i(l) = 5*l**2 + l. Let u be i(1). Suppose u*k - 20 = k. What is the remainder when q is divided by k?
2
Suppose 0 = 2*f + 4*n + 120, -2*f + 3*f + n = -55. Let l be f*((-24)/(-15) - 2). Suppose -7*u + l = -5*u. Calculate the remainder when 29 is divided by u.
9
Let n = -9 + 14. Let l(f) = -f**2 - 6*f + 9. Let z be l(-7). Suppose -4*i = -3*g - 87, 2 = -z*g - 0. What is the remainder when i is divided by n?
1
Let g = 115 - 98. Let n(f) = -22*f - | {
"pile_set_name": "DM Mathematics"
} |
95629312*r/5 - 1311598656/5 = 0.
-6036, -1, 1/3, 18
What is s in s**5/6 + 3*s**4/2 + 25*s**3/6 + 9*s**2/2 + 5*s/3 = 0?
-5, -2, -1, 0
Suppose z**2/4 - 279*z/4 + 2227/2 = 0. What is z?
17, 262
Factor -s**2 - 7287*s - 7286.
-(s + 1)*(s + 7286)
Factor -2*m**2/19 + 29380*m/19 - 29378/19.
-2*(m - 14689)*(m - 1)/19
Suppose -3*z**2 - 357*z + 11826 = 0. What is z?
-146, 27
Factor -h**2/4 + 8388*h - 70358544.
-(h - 16776)**2/4
What is v in 50*v**4/9 + 1010*v**3/9 + 4558*v**2/9 - 5618*v/9 = 0?
-53/5, 0, 1
Factor 3*j**3 - 52*j**2/3 - 85*j - 18.
(j - 9)*(j + 3)*(9*j + 2)/3
Factor 2*p**2 - 3328*p + 1233198.
2*(p - 1107)*(p - 557)
Find v, given that -v**3 + 1091*v**2 - 1090*v = 0.
0, 1, 1090
Solve 4*m**2/3 - 104*m/3 - 620/3 = 0.
-5, 31
Determine h, given that -36*h**4/5 - 200*h**3 - 5932*h**2/5 + 1368*h/5 = 0.
-19, -9, 0, 2/9
Solve -2*a**2 - 5314*a - 52940 = 0 for a.
-2647, -10
Factor 6*y**2 + 17818*y - 220668.
2*(y + 2982)*(3*y - 37)
Factor -h**3 + 569*h**2 + 570*h.
-h*(h - 570)*(h + 1)
Find g such that -2*g**5/5 - 2148*g**4/5 - 591478*g**3/5 - 7863052*g**2/5 + 118296*g + 1573040 = 0.
-530, -14, -1, 1
What is p in p**5/4 - 214*p**4 + 48596*p**3 - 1159268*p**2 - 8342100*p - 11654928 = 0?
-4, -2, 34, 414
What is t in 4*t**3/7 - 8592*t**2/7 + 4740084*t/7 - 134577720/7 = 0?
30, 1059
Factor 2*s**2 + 2054*s + 526752.
2*(s + 496)*(s + 531)
Solve 227919409*p**2 - 181164*p + 36 = 0.
6/15097
Factor -2*n**4/11 - 150*n**3/11 + 7866*n**2/11 + 599886*n/11.
-2*n*(n - 63)*(n + 69)**2/11
Determine o so that 5*o**3 - 1340*o**2 + 9195*o - 15660 = 0.
3, 4, 261
Solve 5*p**2 + 12980*p - 12985 = 0 for p.
-2597, 1
Determine v so that 8591847*v**4 - 3124066*v**3 + 283940*v**2 + 8*v = 0.
-2/71007, 0, 2/11
Factor v**4/7 - 366*v**3/7 + 4836*v**2 - 9464*v.
v*(v - 182)**2*(v - 2)/7
Factor 2*v**2/15 + 4424*v/5 - 10624/3.
2*(v - 4)*(v + 6640)/15
Factor 310*g**2 + 23866*g/7 - 44/7.
2*(g + 11)*(1085*g - 2)/7
Factor 4*s**3 + 670024*s**2.
4*s**2*(s + 167506)
Let 7*j**3 - 39755*j**2 - 28402*j + 11360 = 0. Calculate j.
-1, 2/7, 5680
Determine k so that -3*k**5/5 - 1974*k**4 - 10830663*k**3/5 - 3971190504*k**2/5 - 7866763584*k/5 + 11848794624/5 = 0.
-1096, -3, 1
Suppose -50*z**3/13 - 1504*z**2/13 + 110*z + 124/13 = 0. What is z?
-31, -2/25, 1
Suppose 4*w**5 + 33292*w**4/5 - 9332*w**3 - 19964*w**2/5 + 9328*w - 13328/5 = 0. What is w?
-1666, -1, 2/5, 1
Find q, given that -12*q**4 + 7060*q**3 + 47444*q**2 + 92748*q + 42840 = 0.
-3, -2/3, 595
Find a such that 5*a**2 + 650450*a + 21154260125 = 0.
-65045
Solve -i**4 + 766*i**3 - 5317*i**2 + 3024*i + 9108 = 0.
-1, 2, 6, 759
Suppose 2*s**2/3 + 902*s/3 - 6280 = 0. What is s?
-471, 20
Find j, given that -4*j**2 - 5016*j - 1572516 = 0.
-627
Let 2*l**2/3 - 107948*l/3 + 35982 = 0. Calculate l.
1, 53973
Factor 2*q**3/17 - 624*q**2/17 - 41238*q/17 - 622340/17.
2*(q - 370)*(q + 29)**2/17
What is h in h**4/7 - 94*h**3 + 107577*h**2/7 + 219780*h/7 - 326700/7 = 0?
-3, 1, 330
Factor -k**3 - 1895*k**2 - 28226*k - 48880.
-(k + 2)*(k + 13)*(k + 1880)
Factor -16*s**3 + 10560*s**2 - 10548*s + 2636.
-4*(s - 659)*(2*s - 1)**2
Let 82*g**3 + 9014*g**2/5 - 132*g/5 = 0. Calculate g.
-22, 0, 3/205
Factor -m**3/2 - 613*m**2/2 - 32332*m - 32026.
-(m + 1)*(m + 134)*(m + 478)/2
Factor -4*y**2 + 861980*y.
-4*y*(y - 215495)
Find h, given that -6*h**5 + 171*h**4 - 1470*h**3 + 3825*h**2 = 0.
0, 5, 17/2, 15
Suppose -3*j**4/4 + 69*j**3/2 - 675*j**2/4 - 2199*j - 1995 = 0. What is j?
-5, -1, 14, 38
Suppose 5*u**2 + 2486285*u = 0. Calculate u.
-497257, 0
Suppose 12*z**3 + 3807732*z**2 + 3807723*z + 951930 = 0. What is z?
-317310, -1/2
Determine x so that 5*x**2 - 58275*x + 640420 = 0.
11, 11644
Factor -i**5 - 351*i**4 + 33166*i**3 - 987532*i**2 + 11052600*i - 30441632.
-(i - 26)**3*(i - 4)*(i + 433)
What is o in -4*o**2 - 12152*o - 9229444 = 0?
-1519
Factor -11*s**2 + 2664*s - 2653.
-(s - 1)*(11*s - 2653)
Factor -3125*a**3 + 244250*a**2 - 39020*a + 1560.
-5*(a - 78)*(25*a - 2)**2
Factor -66*z**5 - 134*z**4 - 4*z**3.
-2*z**3*(z + 2)*(33*z + 1)
Suppose -2*z**2/7 - 732*z/7 - 58266/7 = 0. What is z?
-249, -117
Let a**5/2 + 1157*a**4/2 + 1153*a**3/2 - 3469*a**2/2 - 577*a + 1156 = 0. Calculate a.
-1156, -2, -1, 1
Factor -5*m**4 - 60910*m**3 - 247375800*m**2 - 335111588000*m - 669234160000.
-5*(m + 2)*(m + 4060)**3
Factor 2*u**3 + 1428*u**2 - 2*u - 1428.
2*(u - 1)*(u + 1)*(u + 714)
Factor -5*o**3 - 4700*o**2 + 33115*o - 28410.
-5*(o - 6)*(o - 1)*(o + 947)
Solve -3*k**5/10 + k**4/5 + 67*k**3/2 + 53*k**2/5 - 44*k = 0 for k.
-10, -4/3, 0, 1, 11
Find v such that 2*v**2/13 - 13408*v/13 + 13406/13 = 0.
1, 6703
Let -3*u**5/4 + 105*u**4/4 + 51*u**3/4 - 1677*u**2/4 - 930*u - 525 = 0. Calculate u.
-2, -1, 5, 35
Factor -k**3/5 + 1842*k**2/5 + 59968*k/5.
-k*(k - 1874)*(k + 32)/5
Determine o so that o**3 - 190*o**2 - 11023*o + 2553712 = 0.
-112, 151
Let -z**3/7 + 2161*z**2/7 = 0. What is z?
0, 2161
Determine j so that j**2/4 + 1497*j/2 + 14945/4 = 0.
-2989, -5
Factor c**3/4 + 2167*c**2/2 + 2166*c.
c*(c + 2)*(c + 4332)/4
Factor 4*f**2 + 53592*f + 179506404.
4*(f + 6699)**2
Find p such that -4*p**2/3 + 32956*p/3 + 32960/3 = 0.
-1, 8240
Find n such that -n**3 + 867*n**2 + 9670*n - 10536 = 0.
-12, 1, 878
Suppose 4*d**5 - 64*d**4 + 276*d**3 - 376*d**2 + 160*d = 0. What is d?
0, 1, 4, 10
Find a such that 2*a**3 - 2342*a**2 + 637670*a + 28549950 = 0.
-39, 605
Determine b so that -2*b**4 - 14*b**3 + 54*b**2 + 486*b + 756 = 0.
-7, -3, 6
Factor 2*c**2/5 + 66*c/5 - 5992.
2*(c - 107)*(c + 140)/5
Determine n, given that 1527*n**4 + 164922*n**3 + 4453380*n**2 + 17496*n = 0.
-54, -2/509, 0
Factor -194*k**3 + 4072*k**2 - 7330*k - 76.
-2*(k - 19)*(k - 2)*(97*k + 1)
Factor -2*b**3 - 5126*b**2 + 160712*b - 300904.
-2*(b - 29)*(b - 2)*(b + 2594)
Determine z, given that -4*z**4/3 + 64*z**3/3 - 12*z**2 - 120*z = 0.
-2, 0, 3, 15
What is t in -t**3 + 6838*t**2 + 82164*t + 246600 = 0?
-6, 6850
Solve 4*q**5 - 1448*q**4 + 173184*q**3 - 6830208*q**2 = 0 for q.
0, 98, 132
Determine r, given that r**5 - 25*r**4 - 7*r**3 + 169*r**2 + 150*r = 0.
-2, -1, 0, 3, 25
Factor 5*g**3 + 9360*g**2 + 18700*g.
5*g*(g + 2)*(g + 1870)
Factor 2*t**2 + 117458*t - 234924.
2*(t - 2)*(t + 58731)
Factor 2*o**2 + 17774*o - 17776.
2*(o - 1)*(o + 8888)
What is r in 2*r**3/9 - 1060*r**2/9 - 10750*r/9 - 3000 = 0?
-5, 540
Determine p, given that 3*p**4/2 + 5949*p**3/2 + 153273*p**2/2 + 1228491*p/2 + 1420782 = 0.
-1957, -11, -4
Let -2*j**3 - 676*j**2 + 678*j = 0. What is j?
-339, 0, 1
Determine j, given that -j**2/9 + 159293*j/9 + 159296/3 = 0.
-3, 159296
Find c such that 2*c**4/5 + 34*c**3/5 - 16*c**2/5 - 696*c/5 + 1152/5 = 0.
-16, -6, 2, 3
Factor -2*d**3/5 - 2316*d**2/5 + 18624*d/5 - 37312/5.
-2*(d - 4)**2*(d + 1166)/5
Let -4*c**2 + 2072*c + 4160 = 0. Calculate c.
-2, 520
Factor -y**4/3 + 133*y**3 - 1564*y**2 + 18640*y/3 - 8256.
-(y - 387)*(y - 4)**3/3
Determine f so that f**2/6 + 6248*f/3 = 0.
-12496, 0
Solve -505*y**2 - 3495*y + 280 = 0.
-7, 8/101
Determine h, given that 4*h**4 - 1717*h**3 + 182165*h**2 + 138022*h - 45864 = 0.
-1, 1/4, 196, 234
What is t in 18*t**4/11 - 2752*t**3/11 - 45696*t**2/11 = 0?
-136/9, 0, 168
Factor -3*r**3 - 843*r**2 + 12351*r - 11505.
-3*(r - 13)*(r - 1)*(r + 295)
Determine l so that -3*l**5 - 102*l**4 - 171*l**3 + 660*l**2 - 384*l = 0.
-32, -4, 0, 1
Determine g, given that 35*g**3/4 - 4225*g**2/4 - 1370*g - 305 = 0.
-1, -2/7, 122
Factor x**3/2 - 21959*x**2/2 + 120648175*x/2 - 1084055625/2.
(x - 10975)**2*(x - 9)/2
Determine q, given that 3*q**5 - 8757*q**4 - 17559*q**3 + 96357*q**2 + 105156*q = 0.
-4, -1, 0, 3, 2921
Solve 5*k**3 - 1550*k**2 + 27945*k - 87300 = 0 for k.
4, 15, 291
Factor 52*i**2 - 103188*i - 166824.
4*(i - 1986)*(13*i + 21)
Factor 2*n**2 - 17520*n - 70112.
2*(n - 8764)*(n + 4)
Let 3*r**2/5 + 1115508*r/5 + 103696508172/5 = 0. Calculate r.
-185918
Factor 3*r**2 - 327*r - 13536.
3*(r - 141)*(r + 32)
Suppose -4*l**3 + 196*l**2 + 4228*l - 4420 = 0. What is l?
-17, 1, 65
Factor o**4 - 79634*o**3 + 79628*o**2 + 398162*o + 238899.
(o - 79633)*(o - 3)*(o + 1)**2
Factor 9228100332*m**2 - 332772*m + 3.
3*(55462*m - 1)**2
Factor 2*h**2/7 - 704*h + 19680/7.
2*(h - 2460)*(h - 4)/7
Suppose -72*x**4 - 97*x**3/2 + 378*x**2 + 787*x/2 + 39 = 0. What is x?
-2, -1, -1/9, 39/16
Find f, given that -25*f**4/2 + 1163*f**3 - 54893*f**2/2 + | {
"pile_set_name": "DM Mathematics"
} |
679 = -24*i - 785. Let k be -50*1*6/(-4). Let m = i + k. Let g(r) = -20*r**3 - 6*r**2 + 14. Calculate m*l(v) - 5*g(v).
2*v**3 + 2*v**2
Let y(t) = 13*t + 7. Let u(g) = -22*g - 11. What is -3*u(q) - 5*y(q)?
q - 2
Suppose -4*v - 6*v - 108 = 2*v. Let j(a) be the second derivative of -3*a**4/4 + 3*a**3/2 + 4*a. Let b(k) = -4*k**2 + 5*k. Determine v*b(m) + 5*j(m).
-9*m**2
Let m(a) = 16*a**3 + 12*a**2 + 52*a + 1. Let v(d) = 35*d**3 + 26*d**2 + 106*d + 3. What is 13*m(t) - 6*v(t)?
-2*t**3 + 40*t - 5
Let r(m) = -38*m**2 - 2*m - 38*m**2 + 84*m**2 - 6*m. Let v(s) = -3*s**2 - 40*s - 18. Let h be v(-13). Let u(n) = -7*n**2 + 7*n. Determine h*u(w) - 4*r(w).
3*w**2 - 3*w
Suppose 142*v - 138 = -123*v + 288*v. Let k(m) = -38*m. Let g(j) = -341*j. What is v*g(c) + 55*k(c)?
-44*c
Let g(i) = i**3 - i**2 - i. Suppose -13 = -239*z + 229*z + 7. Let l(q) = 2*q**2 + 23*q + 2. Give z*g(n) + l(n).
2*n**3 + 21*n + 2
Let j(d) = -d - 1. Let v(n) = -12*n - 10. Let i(m) = -2*m - 2*m**2 + 0*m - 63*m**3 + m + 21*m**3. Let p be i(-1). Let c = -39 + p. Calculate c*v(o) - 22*j(o).
-2*o + 2
Let y(z) = 6*z + 2 - 4*z + 5*z - 6*z. Let l = 375 - 381. Let a(j) = -7*j - 13. Give l*a(o) - 39*y(o).
3*o
Let g(f) = -f**3 + 5*f**2 - 7*f + 141. Let h be g(7). Let p(t) = -1. Let r(z) = -4*z + 7. What is h*p(i) - r(i)?
4*i - 1
Let a be (-1)/(3*2/12). Let n(h) = -h**2 - 9*h - 5. Let l(q) be the second derivative of q**3/3 + q**2/2 + 4*q + 286. Calculate a*n(o) - 9*l(o).
2*o**2 + 1
Let r(w) = 4253*w + 4240*w + 20 - 4 + 12 - 8495*w. Let o(g) = g + 1. What is 3*o(u) + r(u)?
u + 31
Suppose 14 = 2*q + 4*z, 4*z - 15 = -4*q + 1. Let d(g) = 11*g - 3 + 6*g**2 - 11*g. Let l(n) = 1. Calculate q*d(p) + 3*l(p).
6*p**2
Suppose -195*a + 1944 = 129*a. Let t(z) = -13*z**3 - 8*z**2 - 6*z - 4. Let d(l) = -12*l**3 - 7*l**2 - 5*l - 3. Determine a*d(x) - 5*t(x).
-7*x**3 - 2*x**2 + 2
Let a(m) be the second derivative of -m**5/10 - 5*m**4/12 - 13*m**3/6 + 7*m**2/2 - 201*m. Let d(c) = c**3 + 3*c**2 + 7*c - 4. Calculate -4*a(i) - 7*d(i).
i**3 - i**2 + 3*i
Let p(v) = -v**2 - 3*v + 4. Let s(n) = n + 3. Let f be s(-6). Let i = -468 - -323. Let d = i - -137. Let o(g) = 3*g**2 + 8*g - 12. Calculate d*p(y) + f*o(y).
-y**2 + 4
Let u(h) = -4*h**2 - 2*h + 123. Let n(v) = 11*v**2 + 5*v - 354. What is 6*n(p) + 17*u(p)?
-2*p**2 - 4*p - 33
Let y be (-22)/(-99) + 470/(-90). Let t(s) = -s - 1. Let b(r) = -3*r**2 - 5*r - 5. Suppose 2*q = 3 - 1. Give q*b(u) + y*t(u).
-3*u**2
Let n(f) = -5 + f - 4*f + 8*f - 4*f. Let z(m) = -626*m + 1200*m - 3 - 573*m. Let u = -10 + 0. Give u*z(p) + 6*n(p).
-4*p
Let l(y) = 43*y**3 + 4*y**2 + 2*y - 40. Let r(u) = 2*u**2 + u + 1. Calculate -l(z) + 2*r(z).
-43*z**3 + 42
Suppose -5*h - q - 86 = 0, -h + 30 - 46 = -q. Let r(n) = -2*n - 7. Let m(o) = -3*o - 2*o + 0*o - 20. Give h*r(u) + 6*m(u).
4*u - 1
Let p(x) = -2*x + 4. Suppose 5*n + 35 = l, 19 = -5*n + 2*l - 21. Let v be (n/4)/(2/(-4)). Let b = -14326 + 14328. Let u(s) = 2*s - 3. Calculate b*p(r) + v*u(r).
2*r - 1
Let u(w) = -1004*w**2 - 8*w - 20. Let i(a) = -999*a**2 - 7*a - 16. Give 5*i(q) - 4*u(q).
-979*q**2 - 3*q
Let r(b) = -2*b**2 - 2*b + 9. Let m(v) = -v**2 - 2*v + 8. Let p be 1035/(-186) - 44/(-682) - (-2)/4. What is p*m(k) + 4*r(k)?
-3*k**2 + 2*k - 4
Let x(p) = 3 - 3*p + 0*p - 12*p + 2. Let b(h) = 8*h - 3. Calculate 5*b(c) + 3*x(c).
-5*c
Let p(b) = -21*b**2 - b - 7. Let f(a) = 32*a**2 + a + 10. Let s be (-2 + (-308)/(-99))*((-66)/(-12) - 1). Calculate s*f(d) + 7*p(d).
13*d**2 - 2*d + 1
Let t(s) = -2*s**2 + 4. Let o(a) = -1. Let w be -10*6/15*-1. Let v(k) = -34*k**2 + 6*k + 4. Let n be v(-1). Let f be 189/n + 1/w. What is f*o(l) - t(l)?
2*l**2 + 1
Let f(y) = y**2 - 1. Let o(m) = -111*m**2 + 20*m - 4. Let w(a) = 314*a**2 - 57*a + 11. Let t(z) = -17*o(z) - 6*w(z). Give 2*f(g) + t(g).
5*g**2 + 2*g
Suppose -4*y - 19 = -5*o, -3*y + 184*o = 189*o - 12. Let j(t) = 5*t**3 - 4*t - 5. Let k(q) = -q**3 - q**2 + q + 1. What is y*j(m) - 4*k(m)?
-m**3 + 4*m**2 + 1
Let b(l) = -17*l - 294. Let u(x) = -3*x - 10. What is b(d) - 6*u(d)?
d - 234
Suppose -g = -9*g + 352. Let u(o) = 2*o**3 + 3*o + 3. Let d(i) = -22 - 22*i + 1472*i**2 - 14*i**3 - 1472*i**2. Calculate g*u(k) + 6*d(k).
4*k**3
Let t(j) = 3*j**3 + 3*j**2 + 26*j + 9. Let v(z) = 3*z**3 + 4*z**2 + 28*z + 10. What is -4*t(h) + 3*v(h)?
-3*h**3 - 20*h - 6
Let t(f) = 3*f**3 + 904*f**2 + 22*f - 26. Let w(o) = -2*o**3 - 542*o**2 - 13*o + 16. Give -8*t(x) - 13*w(x).
2*x**3 - 186*x**2 - 7*x
Let d(p) = -29*p**2 + 2*p. Let u(a) = -4146*a**2 + 290*a + 65. Let v(b) = 72558*b**2 - 5075*b - 1131. Let r(q) = -87*u(q) - 5*v(q). Determine 145*d(l) - 2*r(l).
-29*l**2
Let n(q) = -104*q**3 + 10*q**2 - 7*q + 5. Let z(v) = 34*v**3 - 3*v**2 + 2*v - 1. Determine 2*n(f) + 7*z(f).
30*f**3 - f**2 + 3
Suppose 0 = 95*j - 96*j + 161. Suppose 0 = -5*l - 4*r + j, 4*r + 147 = 4*l + 47. Let y(i) = 9*i + 21*i - l*i. Let p(t) = 5*t - 2. Give -p(c) + 3*y(c).
-2*c + 2
Let o(n) = 5*n - 14. Let j(f) = f + 3. Let m(w) be the third derivative of -w**4/12 - 17*w**3/6 + 152*w**2. Let l(s) = -4*j(s) - m(s). Give 8*l(b) + 3*o(b).
-b - 2
Let z(y) = -2*y + 142 + y - 146. Let t be (-376)/(-40) - ((-13)/5 - -3). Let b(n) = 5*n + 17. Give t*z(d) + 2*b(d).
d - 2
Let i(f) be the second derivative of 1/20*f**5 + 1/2*f**4 - 69*f + 0 + f**3 - 3*f**2. Let b(l) = -l**3 - 13*l**2 - 13*l + 13. Calculate 6*b(g) + 13*i(g).
7*g**3
Suppose -2*r - 4 = -4*r. Let j(c) = c - 10*c + 1 + r. Let u(k) be the second derivative of k**3/6 - k**2/2 + 114759*k. Determine -j(f) - 3*u(f).
6*f
Let k(j) = 66*j**3 - 44*j + 44. Let d(a) = a**3 - a + 1. Let y = 4730 + -4731. Determine y*k(w) + 44*d(w).
-22*w**3
Let i(j) = 3*j**2 - 5*j + 2. Let c(u) be the second derivative of 0 - 2/3*u**3 + 1/2*u**2 + 62*u + 1/6*u**4. Give 5*c(b) - 4*i(b).
-2*b**2 - 3
Let y(g) be the first derivative of -3*g**2/2 + 14*g + 87. Let z be y(5). Let q(v) = -v**3 - v + 1. Let b(i) = i**3 + 3*i - 1. Determine z*b(d) - 3*q(d).
2*d**3 - 2
Let d = 7285 - 7278. Let g(y) = -15*y**3 + 2. Let t(w) = -8*w**3 + 1. Calculate d*t(r) - 4*g(r).
4*r**3 - 1
Let a(k) = 2*k**3 + 144*k**2 + 21. Let w(f) = -2*f**3 - 143*f**2 - 24. Give -3*a(j) - 2*w(j).
-2*j**3 - 146*j**2 - 15
Let x(p) = 4*p**3 - 3*p**2. Let i(o) = 6*o**3 - 4*o**2 - o. Determine 3*i(q) - 4*x(q).
2*q**3 - 3*q
Let r(d) = 462*d**2 - d - 2. Let b(v) = v**2. Give -4*b(m) + r(m).
458*m**2 - m - 2
Let y(a) = -3*a**2 - 51*a + 1. Let j(k) = -12*k**2 - 200*k + 4. Let x(p) = -6*j(p) + 22*y(p). Let d(q) = 2*q**2 + 26*q - 1. What is 8*d(z) - 3*x(z)?
-2*z**2 - 26*z - 2
Let x(b) = 2*b + 6. Let d(f) = -9*f**2 - 26*f + 210. Calculate -d(m) - 13*x(m).
9*m**2 - 288
Suppose 0 = -4*u - v - 28, -2 = -4738*u + 4741*u - 4*v. Let k(b) = 13*b - 7. Let y(w) = -38*w + 20. What is u*y(o) - 17*k(o)?
7*o - 1
Let p(a) = 41*a**3 - 3*a**2 + 2*a + 2. Let g be p(1). Suppose -g = 9*x - 60. Let v(k) = -k**2 + k + 1. Let c(i) = 8*i**2 - 8*i - 8. Give x*c(y) + 14*v(y).
2*y**2 - 2*y - 2
Let z(r) = 57*r**2 + 6*r - 365. Let p(d) = 19*d**2 + 2*d - 127. Give -17*p(f) + 6*z(f).
19*f**2 + 2*f - 31
Let l(d) = 2321*d**3 - 3*d. Let f(m) = -1791810*m**3 + 2315*m. Calculate -3*f(y) - 2315*l(y).
2315*y**3
Let i(p) = -70*p**2 - 20*p + 7. Let d(c) = -19*c**2 - 5*c + 2. Calculate 22*d(h) - 6*i(h).
2*h**2 + 10*h + 2
Let c(l) = -145*l + 3. Let r(g) = -857*g + 19. Give 13*c(q) - 2*r(q).
-171*q + 1
Let l be (25 - 64/4) + (-21)/3. Let h(a) = -a + 1. Let u(m) = 10*m - 9. Calculate l*u(r) + 22*h(r).
-2*r + 4
Let h(j) = 2524*j - 258. Let o(q) = -2*q + 26. What is -h(m) - 10*o(m)?
-2504*m - 2
Let w(y) = -4*y + 1. Let r be (-2 + 3/1 + -2)*-3. Suppose 2*z = r*x + z - 6, -5*z + 18 = x. Suppose 2*u + x*u = 5. Let a(t) = t. Give u*w(c) + 5*a(c).
c + 1
Let s(m) = 4*m - 11. Let v(u) = 5599 - 9*u - 1867 - 1855 - 1854. Give 7*s(c) + 3*v(c).
c - 8
Let x(p) = -10*p**3 - 6*p - 3. Let r(i) be the first derivative of -1/2*i**2 + 0*i - 80 - 1/4*i**4 + 0*i**3. Determine 6*r(t) - x(t).
4*t**3 + 3
Let h(d) = -6*d**2 + 4*d + 5. Let g(t) = -t - 1. Let o = -3085 + 3090. Calculate o*g(y) + h(y).
-6*y**2 - y
Let r(c) = -13*c**2 - 2*c - 6. Suppose t + 87 = -f + 84, -f - 4*t = 21. Let l(z) = -25*z**2 - 4*z - 11. What is f*l(j) - 5*r(j)?
-10*j**2 - 2*j - 3
Let n(t) = 55*t**2 + 101*t - 66. Let k(i) = -18*i**2 - 34*i + 24. Calculate -11*k(f) - 4*n(f).
-22*f** | {
"pile_set_name": "DM Mathematics"
} |
the least common multiple of 1815 and 1155?
12705
What is the least common multiple of 2436 and 126?
7308
What is the least common multiple of 25 and 2695?
13475
Calculate the lowest common multiple of 4 and 184.
184
Find the common denominator of -59/114 and -37/2.
114
Calculate the smallest common multiple of 990 and 8.
3960
What is the common denominator of -89/666 and -62/111?
666
What is the common denominator of -70/9 and 91/32?
288
Calculate the common denominator of 121/588 and 45/32.
4704
What is the common denominator of -151/6 and 7/10348?
31044
Calculate the common denominator of -109/72 and 49/24.
72
What is the least common multiple of 30 and 590?
1770
Calculate the lowest common multiple of 341 and 649.
20119
Calculate the smallest common multiple of 20 and 44.
220
What is the common denominator of -16/33 and -67/369?
4059
What is the common denominator of -32/1507 and -13/1233?
13563
Calculate the lowest common multiple of 10108 and 4332.
30324
What is the common denominator of -107/20 and 1/72?
360
Calculate the least common multiple of 135 and 10638.
53190
Calculate the least common multiple of 2487 and 75.
62175
What is the smallest common multiple of 480 and 60?
480
What is the smallest common multiple of 5380 and 269?
5380
Calculate the common denominator of 19/15610 and 30/10927.
109270
What is the lowest common multiple of 640 and 200?
3200
Find the common denominator of 31/54 and 4/207.
1242
Calculate the common denominator of -49/36 and 125/72.
72
What is the common denominator of 65/12 and -157/5934?
11868
Calculate the least common multiple of 371 and 21.
1113
What is the least common multiple of 384 and 84?
2688
What is the smallest common multiple of 147 and 24?
1176
What is the smallest common multiple of 90 and 45?
90
What is the least common multiple of 648 and 648?
648
Calculate the smallest common multiple of 33 and 19.
627
What is the common denominator of -139/36 and -79/516?
1548
What is the lowest common multiple of 25 and 640?
3200
Calculate the common denominator of 121/40 and 63/32.
160
Find the common denominator of -29/165 and 181/60.
660
What is the smallest common multiple of 1100 and 8?
2200
Calculate the smallest common multiple of 2 and 90.
90
What is the smallest common multiple of 22 and 202?
2222
Calculate the common denominator of -69/10 and -59/744.
3720
What is the common denominator of 101/286 and -42/11?
286
What is the common denominator of -127/438 and 53/657?
1314
Calculate the common denominator of 41/114 and -61/60.
1140
What is the least common multiple of 40 and 28?
280
Calculate the common denominator of -93/74 and 103/24.
888
Calculate the lowest common multiple of 10 and 1412.
7060
Calculate the least common multiple of 8 and 13924.
27848
Find the common denominator of -97/362 and 57/16.
2896
Calculate the lowest common multiple of 6 and 369.
738
What is the common denominator of -49/296 and 79/16?
592
Calculate the common denominator of -71/80 and -43/40.
80
Calculate the common denominator of -49/10 and 89/16.
80
What is the lowest common multiple of 1898 and 5?
9490
What is the lowest common multiple of 232 and 261?
2088
Find the common denominator of -5/84 and 16/33.
924
What is the common denominator of -30/7 and -1/9?
63
Find the common denominator of -17/209 and 17/114.
1254
Calculate the smallest common multiple of 179 and 7160.
7160
Find the common denominator of 77/45 and -103/270.
270
What is the smallest common multiple of 192 and 54?
1728
Calculate the smallest common multiple of 36 and 1440.
1440
What is the least common multiple of 1887 and 10?
18870
What is the smallest common multiple of 2 and 1?
2
Calculate the least common multiple of 75 and 125.
375
What is the common denominator of -3/20 and 69/80?
80
What is the least common multiple of 10 and 8035?
16070
What is the common denominator of 113/4116 and -87/2744?
8232
What is the least common multiple of 20 and 48?
240
What is the common denominator of 25/56 and 59/56?
56
Calculate the common denominator of 41/2325 and -61/93.
2325
Calculate the common denominator of 151/174 and -53/464.
1392
What is the smallest common multiple of 1596 and 49?
11172
What is the common denominator of -47/16 and -121/1206?
9648
Find the common denominator of -77/370 and 125/666.
3330
Calculate the common denominator of -157/84 and 49/12.
84
What is the smallest common multiple of 20 and 2762?
27620
Calculate the lowest common multiple of 30 and 20.
60
What is the smallest common multiple of 404 and 4?
404
What is the lowest common multiple of 40 and 275?
2200
Find the common denominator of 35/52 and 59/54.
1404
Calculate the common denominator of -19/350 and -17/140.
700
What is the lowest common multiple of 3 and 1?
3
What is the smallest common multiple of 28 and 168?
168
Calculate the lowest common multiple of 105 and 165.
1155
What is the least common multiple of 128 and 56?
896
What is the common denominator of 4/369 and -89/1230?
3690
What is the common denominator of -151/156 and -37/520?
1560
Calculate the common denominator of -139/390 and -89/12.
780
Calculate the common denominator of 137/12 and -83/2.
12
What is the lowest common multiple of 168 and 1920?
13440
Calculate the least common multiple of 14 and 1190.
1190
What is the smallest common multiple of 1309 and 35?
6545
Calculate the common denominator of 11/18 and 21/152.
1368
Calculate the common denominator of 49/48 and -5/84.
336
Calculate the lowest common multiple of 10 and 106.
530
What is the smallest common multiple of 21 and 24?
168
Calculate the smallest common multiple of 9 and 789.
2367
What is the lowest common multiple of 2628 and 10?
13140
What is the least common multiple of 40 and 75?
600
What is the common denominator of 10/13 and -83/705?
9165
What is the lowest common multiple of 598 and 39?
1794
Find the common denominator of 41/45 and -77/20.
180
What is the common denominator of -121/230 and -121/280?
6440
What is the smallest common multiple of 1840 and 690?
5520
What is the smallest common multiple of 12 and 2?
12
What is the least common multiple of 6 and 2?
6
Calculate the common denominator of 79/36 and -85/92.
828
Find the common denominator of 1/5740 and -37/35.
5740
What is the common denominator of -123/920 and -45/16?
1840
Calculate the lowest common multiple of 121 and 5.
605
Calculate the smallest common multiple of 1 and 272.
272
Find the common denominator of 5/22 and 89/828.
9108
What is the least common multiple of 17 and 34?
34
What is the least common multiple of 160 and 64?
320
Calculate the common denominator of -21/544 and 117/680.
2720
What is the lowest common multiple of 160 and 80?
160
What is the smallest common multiple of 140 and 70?
140
Calculate the smallest common multiple of 72 and 36.
72
Calculate the common denominator of -61/648 and -59/36.
648
Calculate the common denominator of 131/560 and -53/70.
560
What is the common denominator of -40/3 and 35/418?
1254
What is the least common multiple of 2223 and 936?
17784
Calculate the common denominator of 52/3 and 89/2.
6
Find the common denominator of -23/3 and 71/10184.
30552
Calculate the common denominator of 131/42 and -59/378.
378
Calculate the common denominator of -34/35 and -79/75.
525
What is the common denominator of 21/22 and -125/138?
1518
What is the lowest common multiple of 27 and 18?
54
What is the common denominator of 43/738 and -19/16?
5904
What is the common denominator of 7/50 and 53/20?
100
What is the common denominator of 41/668 and 61/36?
6012
What is the least common multiple of 1090 and 1417?
14170
What is the lowest common multiple of 90 and 210?
630
What is the lowest common multiple of 24 and 17616?
17616
What is the common denominator of -59/30 and -131/110?
330
What is the common denominator of -97/22 and -19/20?
220
What is the common denominator of 13/176 and 35/176?
176
What is the least common multiple of 975 and 145?
28275
Calculate the lowest common multiple of 44 and 48.
528
Calculate the common denominator of -1/20 and 29/156.
780
Calculate the least common multiple of 1035 and 230.
2070
Calculate the common denominator of -49/2662 and -103/726.
7986
What is the common denominator of -82/21 and 157/1380?
9660
Ca | {
"pile_set_name": "DM Mathematics"
} |
) = 2*k**2 + 4*k + 1. Determine m*s(i) + 4*y(i).
-2*i**2 - 1
Let p(n) = 12*n + 9. Suppose -8*d - 4 = -4*d. Let g = d + 3. Let v(s) = -3*s - 2. Give g*p(j) + 9*v(j).
-3*j
Let z(u) = 8*u**2 + 2*u - 6*u - 2*u**3 + 3 - 10*u**2. Let i(k) = -k - k - k + 2*k + 1. Calculate 4*i(s) - z(s).
2*s**3 + 2*s**2 + 1
Let s(n) = 9*n**3 + 11*n**2 - 20. Let r(q) = 4*q**3 + 5*q**2 - 10. What is -7*r(c) + 3*s(c)?
-c**3 - 2*c**2 + 10
Let p(s) = 3*s**2 - s - 5. Let i(w) be the third derivative of -w**5/60 + w**3/6 - 25*w**2. Calculate -5*i(f) - p(f).
2*f**2 + f
Let b(m) = 2 - m**2 - 6*m**2 + 2*m - 7*m**3 + m**2. Let r(i) = i**3 + i**2. Determine b(y) + 6*r(y).
-y**3 + 2*y + 2
Let z(c) = 26*c**2 - 3*c + 2. Let g(v) = 77*v**2 - 10*v + 6. Determine -2*g(q) + 7*z(q).
28*q**2 - q + 2
Let c(w) = 6 + 6*w - 4 + 0 - 3. Let o(k) = -7*k + 1. Suppose 2*s = 3*s + 4. What is s*o(b) - 5*c(b)?
-2*b + 1
Let s(b) = 1 + 98*b + 95*b - 191*b. Let i(h) = -h - 2. Give 3*i(a) + 4*s(a).
5*a - 2
Let z(m) = 2*m**2 + 5*m + 5. Let a(s) be the first derivative of 2/3*s**3 + 4*s + 2*s**2 - 4. What is -5*a(p) + 4*z(p)?
-2*p**2
Suppose 0 = s - 2*j + 14, -4*s + 3*s + 5*j = 26. Let t(z) = -z**2 - 7*z**2 + 1 + 4. Let v(u) = 3 - u**2 + 0 - 2. What is s*v(p) + t(p)?
-2*p**2 - 1
Let p(m) = -2*m**3 + 5*m**2 - 3*m + 2. Let w(b) = -3*b**3 + 9*b**2 - 5*b + 4. Suppose -4*n - 18 = -2*l, 0 = n - 5*l + 18. Calculate n*w(j) + 5*p(j).
-j**3 - 2*j**2 - 2
Let z(w) = -11*w - 8. Let y(p) be the second derivative of 2*p**3/3 + 3*p**2/2 - 8*p. What is -8*y(b) - 3*z(b)?
b
Let a(t) = 6*t - 2. Let q(l) = 5*l - 2. Determine -2*a(v) + 3*q(v).
3*v - 2
Let l be 230/50 + 3/(-5). Let v(u) = -13*u - 6 - l*u**2 + 5 - 6. Suppose -2*z - z = 6. Let a(n) = n**2 + 4*n + 2. Give z*v(k) - 7*a(k).
k**2 - 2*k
Let k(x) = 391*x**3 + 46*x**2 - 46*x + 46. Let c(u) = -26*u**3 - 3*u**2 + 3*u - 3. Determine 46*c(j) + 3*k(j).
-23*j**3
Let p(r) = -57*r**3 + 171*r**2 + 171*r + 171. Let q(b) = b**2 + b + 1. Calculate p(c) - 171*q(c).
-57*c**3
Let g(m) = 7*m**3 - m**2 - 2. Let v(p) = -p**3 + p**2. Determine g(s) + 2*v(s).
5*s**3 + s**2 - 2
Let o(f) = 39*f**2 - 27*f + 27. Let q(k) = 1. Let z(p) = -3*p**2 + 2*p - 8. Let u(y) = -6*q(y) - z(y). Determine -2*o(i) + 27*u(i).
3*i**2
Let k(f) = 6*f - 9. Let l(j) = -3*j + 4. Determine 4*k(a) + 9*l(a).
-3*a
Let o(p) = p**3 - 2*p**2 - 2. Let f(l) = -2*l**3 + 3*l**2 + 3. Let b = 19 + -22. Calculate b*o(d) - 2*f(d).
d**3
Let k(h) = -h**2 + 5*h - 3. Let o be -1*3/(-6)*0. Suppose -2*g + o*g = -28. Suppose 4*d + g = -6. Let c(n) = -2*n**2 + 8*n - 5. Give d*c(j) + 8*k(j).
2*j**2 + 1
Let l(s) = -53*s - 2. Let w(z) = 79*z + 3. Give -7*l(f) - 5*w(f).
-24*f - 1
Let b(f) = -f**2. Let n(h) = 3*h**2 - 17*h + 2. Determine -2*b(i) - n(i).
-i**2 + 17*i - 2
Let x(i) = -2*i**2 - 6*i - 4. Let l(z) = -z**2 + 2*z + 2 - 3*z - 3. Let j(m) = -m - 2. Let g be j(-1). Calculate g*x(d) + 4*l(d).
-2*d**2 + 2*d
Let m = 71 - 62. Let r(f) = -3*f**3 + 2*f**2 + 2*f. Let x(a) = -11*a**3 + 9*a**2 + 9*a. What is m*r(w) - 2*x(w)?
-5*w**3
Let r(z) be the second derivative of -2*z**4/3 + 4*z**3/3 + 13*z**2/2 + z. Let j(p) = -2*p**2 + 2*p + 3. Give -9*j(k) + 2*r(k).
2*k**2 - 2*k - 1
Let b(h) = -2*h**3 + h**2 - 2*h + 1. Let x(a) = a**3 + a + 1. Give -b(y) - 3*x(y).
-y**3 - y**2 - y - 4
Let i(b) = b. Let h(z) be the first derivative of -3*z**2/2 + 1. Suppose 0 = 12*k - 56 - 16. Calculate k*h(y) + 17*i(y).
-y
Let b(d) = -2*d**2 - 4*d + 3. Let k be (2/(-4))/((-2)/12). Let n(y) = 4*y**2 + 4*y - 4. Let r(q) = q**2 + q - 1. Let c(x) = n(x) - 3*r(x). Give k*c(s) + b(s).
s**2 - s
Let m(c) be the first derivative of -c**4/4 + c**3 - c**2/2 - 3*c + 7. Let s(j) = j**3 - 5*j**2 + 2*j + 5. Calculate 5*m(w) + 3*s(w).
-2*w**3 + w
Let i(u) = -4*u**2 - 3*u + 4. Let n be i(1). Let t(a) = -1 + 0*a - 2*a + 0. Let d(f) = f + 1. What is n*t(r) - 4*d(r)?
2*r - 1
Let z(k) = -25*k + 30. Let h(q) = -q + 1. Suppose 2 = 2*j - 0. Give j*z(o) - 30*h(o).
5*o
Let z(c) be the first derivative of -2*c**3 - 1/4*c**4 + 0*c - 3*c**2 - 9. Let n(w) = 2*w**3 + 13*w**2 + 13*w. Calculate -6*n(o) - 13*z(o).
o**3
Let j(s) = -9*s**2 - 6*s - 6. Let a be (-10)/85 - (-166)/(-34). Let w(q) = 8*q**2 + 5*q + 5. Give a*j(k) - 6*w(k).
-3*k**2
Let d(j) = 2*j**3 + 3*j**2 + 2*j + 3. Let b(n) = -n**2 + n**3 - 2*n**2 - 1 - n - 2*n**3 + 2*n**2. Calculate -3*b(p) - d(p).
p**3 + p
Let h(o) = 3*o**3 + 15*o**2 - 15*o. Let d(f) = -f**3 - 4*f**2 + 4*f. Give 15*d(g) + 4*h(g).
-3*g**3
Suppose -9 = -4*l + 11. Let v(h) = -17*h + 10*h + 5*h + l. Let m(b) = b - 1. Give 5*m(t) + v(t).
3*t
Let v(z) = -16*z**2 - 7*z - 7. Let t(i) = -5*i**2 - 2*i - 2. Determine -14*t(y) + 4*v(y).
6*y**2
Let v(q) = q - 1. Let l(z) be the third derivative of z**6/60 + 11*z**4/24 - 11*z**3/6 + 22*z**2. Calculate -2*l(i) + 22*v(i).
-4*i**3
Let k(f) = -3*f**3 + 4*f**2 + 4*f - 4. Let z(m) = 0*m**3 - 5*m**2 - 8*m - m**3 + 4*m**3 + 3*m + 5. Calculate 5*k(n) + 4*z(n).
-3*n**3
Let g(d) = d**3 + 2. Let x(q) = 3*q**3 + 3. Give 5*g(t) - 2*x(t).
-t**3 + 4
Let y(t) = 4*t - 14. Let o(x) = -3*x + 13. What is 5*o(m) + 4*y(m)?
m + 9
Let o(l) = -l**2 - l + 1. Let x(q) = -3*q**3 + 12*q**2 + 12*q - 12. Let f = 160 + -148. Give f*o(p) + x(p).
-3*p**3
Suppose -6 = b + 2*b. Let h be -3 - ((b - 8) + 2). Suppose -1 = -2*s + p, h*p - 10 = 6*s - s. Let i(w) = w - 2. Let r(u) = 2*u - 3. Calculate s*r(c) - 4*i(c).
2*c - 1
Let f(h) = 3*h**3 + 5*h**2 - 9*h - 5. Let q(c) = c**3 + 2*c**2 - 4*c - 2. Give -2*f(g) + 5*q(g).
-g**3 - 2*g
Let l(k) = 2*k**2 - 3*k - 3. Let g(q) = 2*q**2 - 4*q - 3. What is -2*g(p) + 3*l(p)?
2*p**2 - p - 3
Let p(q) = 7*q**2 - 3*q + 7. Let a(o) be the first derivative of -o**3 + o**2/2 - 3*o + 11. What is -10*a(z) - 4*p(z)?
2*z**2 + 2*z + 2
Let c(w) be the first derivative of -1 - 4*w + 9/2*w**2. Let y(b) = 4*b - 2. Suppose -h - 3 = -0*h. Give h*c(f) + 7*y(f).
f - 2
Let y(f) = -f**3 - f - 1. Let u(o) = 3*o**3 + 2. Let r(k) = -u(k) - 2*y(k). Let l(w) = -2*w**3 + 5*w. Give 2*l(d) - 5*r(d).
d**3
Let w(c) = 5*c**2 - 4*c - 16. Let u(d) = -d**2 + d + 3. What is 11*u(a) + 2*w(a)?
-a**2 + 3*a + 1
Let h(d) = -12*d. Let a(i) = -13*i. What is 3*a(q) - 2*h(q)?
-15*q
Let l(r) = r. Suppose 2*p + 2*k + 28 = -2*p, -2*p = 4*k + 26. Let s = p - -6. Let w(h) = h - 1. Calculate s*w(z) - 3*l(z).
-2*z - 1
Let n(f) = 676*f**2 - 4 - 671*f**2 - 2 - 6*f. Let s(g) = 11*g**2 - 13*g - 13. Let p be (-9)/(-1)*(-4)/(-6). Determine p*s(v) - 13*n(v).
v**2
Let o = -1 + 0. Let b(i) = 16*i + 10. Let x(l) = -l - 1. Let u(a) = o*b(a) - 6*x(a). Let d(r) = -3*r - 1. Let y = 54 + -52. Calculate y*u(v) - 7*d(v).
v - 1
Let u(w) = -101*w**2. Let a(f) = -405*f**2. Give -2*a(p) + 9*u(p).
-99*p**2
Let h(m) = 0 - 5*m + 4 - 3*m**2 + 0. Let y(a) = 4*a**2 + 6*a - 5. Determine -5*h(d) - 4*y(d).
-d**2 + d
Let z(i) = -2*i**2 - i - 5. Let n(t) = t**2 + t - 3. Let d(j) = -2*j - j**2 + 3*j**2 - 1 + 4*j - 6. Let o(u) = -6*d(u) + 13*n(u). What is -5*o(g) - 3*z(g)?
g**2 - 2*g
Let r(p) = p**2 - 3*p + 24. Let t(a) = -2*a**2 + 4*a - 25. Determine 4*r(g) + 3*t(g).
-2*g**2 + 21
Suppose -5*j = 2 + 18. Let d(g) = -7*g - 1. Let q(l) = -8*l - 1. What is j*q(s) + 5*d(s)?
-3*s - 1
Let j(a) = a**2 - 4*a + 2. Let u(r) = 4*r**2 - 11*r + 5. Calculate 11*j(m) - 4*u(m).
-5*m**2 + 2
Let n(q) = -1. Let g(l) = -5*l - 6. Let u(r) = -r**2 + 4*r - 1. Let c be u(5). Let i(y) = c*n(y) + g(y). Let m(a) = 9*a. What is 7*i(t) + 4*m(t)?
t
Let b(m) = 3*m. Let u(k) = 7*k. Let x(g) = -9*b(g) + 4*u(g). Let j(v) = -9*v - 1. Calculate -j(c) - 6*x(c).
3*c + 1
Let u(w) = -13*w**3 + w**2 + 13. Let f(c) = c**2 + 1. Let l(o) = -42*f(o) + 6*u(o). Let d(j) = 11*j**3 + 5*j**2 - 5. Calculate -36*d(a) - 5*l(a).
-6*a**3
Let w(m) = -m**2 + m + 2. Let k(n) = 2*n**2 - 2*n - 4. Suppose -2*d + 5*d = 5*t + 13, -2*t + 4*d = -6. Give t*w(g) - 3*k(g).
-g**2 + g + 2
Let z(a) = -2*a**3 + 5*a**2 - 3*a + 2. Let p(c) = 4*c**3 - 11*c**2 + 6*c - 5. Calculate -2*p(x) - 5*z(x).
2*x**3 - 3*x**2 + 3*x
Let k(t) = 1. Let j(v) = -v - 15. Give j(g) + 4*k(g).
-g - 11
Let f(s) = -3*s + 6. Let l = -9 - -4. Let n(m) = -2*m + 4. Give l*f(g) + 7*n(g).
g - 2
Let a(f) = -273*f**3 - 27*f**2 + 27*f - 27. Let k(m) = -39*m**3 - 4*m**2 + 4*m - 4. Calculate -4*a(q) + 27*k(q).
39*q**3
Suppose 0 = 2*h - 2. Let f(o) be the second derivative of -o**3/6 - 2*o. Let c(y) = 6 - 2 - 5 - y. Calculate h* | {
"pile_set_name": "DM Mathematics"
} |
1 f, and 1 t when three letters picked without replacement from mtuuntttfoouutt.
24/455
Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {l: 1, i: 2, r: 2, d: 5, o: 2, k: 1}.
1/39
What is prob of picking 4 p when four letters picked without replacement from pppemppppppppppp?
11/20
Calculate prob of picking 1 v and 2 u when three letters picked without replacement from uuvv.
1/2
Four letters picked without replacement from {o: 1, d: 5, b: 5, a: 1, s: 4}. What is prob of picking 1 o, 1 d, 1 a, and 1 s?
1/91
Calculate prob of picking 2 c when two letters picked without replacement from {j: 2, c: 8}.
28/45
Three letters picked without replacement from rrrrrrr. What is prob of picking 3 r?
1
Three letters picked without replacement from {k: 5, e: 11, m: 1}. Give prob of picking 1 m and 2 e.
11/136
Calculate prob of picking 1 y and 2 k when three letters picked without replacement from {q: 1, h: 1, k: 4, y: 4}.
1/5
Four letters picked without replacement from {c: 3, m: 1, d: 4}. What is prob of picking 1 d, 1 m, and 2 c?
6/35
Four letters picked without replacement from {d: 2, c: 3, i: 2, z: 3, a: 3}. What is prob of picking 1 z, 2 d, and 1 c?
9/715
Two letters picked without replacement from {p: 1, l: 2, v: 1}. Give prob of picking 1 l and 1 p.
1/3
Three letters picked without replacement from {o: 2, q: 3, d: 5}. What is prob of picking 1 d and 2 q?
1/8
What is prob of picking 1 r and 1 p when two letters picked without replacement from {s: 1, p: 1, z: 2, u: 3, r: 4}?
4/55
Calculate prob of picking 3 q and 1 h when four letters picked without replacement from qqhyqyqyyqqqy.
7/143
Four letters picked without replacement from {q: 7, g: 5}. Give prob of picking 2 g and 2 q.
14/33
What is prob of picking 1 v, 2 e, and 1 r when four letters picked without replacement from {g: 3, e: 2, r: 1, k: 4, v: 1, l: 1}?
1/495
Two letters picked without replacement from {y: 1, b: 2, f: 1, w: 10}. Give prob of picking 1 y and 1 w.
10/91
What is prob of picking 2 r when two letters picked without replacement from {x: 9, r: 7}?
7/40
Three letters picked without replacement from {b: 6, y: 6}. What is prob of picking 3 b?
1/11
What is prob of picking 1 c and 3 y when four letters picked without replacement from yyyycyyc?
4/7
Calculate prob of picking 1 h and 1 v when two letters picked without replacement from vihiiiwiww.
1/45
Calculate prob of picking 2 i when two letters picked without replacement from hgwiihghh.
1/36
Three letters picked without replacement from oojjhaoohjh. What is prob of picking 2 o and 1 h?
6/55
Calculate prob of picking 1 t and 2 b when three letters picked without replacement from bhzdhczttttbtzddhdzh.
1/228
Calculate prob of picking 2 d and 1 f when three letters picked without replacement from {d: 6, f: 3, v: 3, w: 5}.
9/136
Four letters picked without replacement from {h: 7, z: 5}. Give prob of picking 3 z and 1 h.
14/99
Calculate prob of picking 1 x, 1 f, 1 r, and 1 u when four letters picked without replacement from ssrfxxxuursusxsrrx.
1/51
Calculate prob of picking 4 h when four letters picked without replacement from {h: 4}.
1
Calculate prob of picking 4 f when four letters picked without replacement from {r: 3, p: 4, l: 5, f: 4}.
1/1820
Two letters picked without replacement from {m: 3, c: 15}. Give prob of picking 1 c and 1 m.
5/17
What is prob of picking 1 s and 3 f when four letters picked without replacement from sfffffffffffffffffff?
1/5
What is prob of picking 3 d when three letters picked without replacement from {v: 1, h: 2, p: 9, d: 4}?
1/140
Calculate prob of picking 2 a and 1 x when three letters picked without replacement from {c: 3, a: 6, x: 1, t: 5, m: 3}.
5/272
Two letters picked without replacement from {d: 11, x: 3}. Give prob of picking 1 d and 1 x.
33/91
Two letters picked without replacement from smnsnss. Give prob of picking 1 s and 1 m.
4/21
Three letters picked without replacement from {k: 4, m: 5, r: 3, g: 1}. What is prob of picking 3 r?
1/286
What is prob of picking 1 a and 1 u when two letters picked without replacement from {a: 2, u: 1}?
2/3
Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, w: 3, q: 2, p: 13}.
1/190
Calculate prob of picking 2 o when two letters picked without replacement from nonooon.
2/7
Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {d: 5, o: 1, l: 1, b: 12}.
5/171
Four letters picked without replacement from {f: 1, l: 3, y: 6, j: 5}. What is prob of picking 1 f, 1 l, and 2 j?
2/91
Two letters picked without replacement from pipieoptpoikpieit. Give prob of picking 1 k and 1 o.
1/68
Two letters picked without replacement from {s: 1, e: 3, d: 2, q: 1, a: 4}. Give prob of picking 2 e.
3/55
Four letters picked without replacement from {u: 1, o: 1, i: 2, a: 2}. What is prob of picking 2 i, 1 u, and 1 o?
1/15
What is prob of picking 2 d when two letters picked without replacement from tdtttttdqtdtqwtqtwq?
1/57
Calculate prob of picking 2 i and 1 z when three letters picked without replacement from oofofoobbfwozbbiiifb.
1/380
Four letters picked without replacement from fnfnffn. Give prob of picking 4 n.
0
Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, m: 3}.
2/7
Three letters picked without replacement from gaamaswwgemw. Give prob of picking 1 s and 2 m.
1/220
Calculate prob of picking 2 r when two letters picked without replacement from {r: 11, k: 5}.
11/24
Three letters picked without replacement from {j: 2, y: 2, m: 1, w: 2, z: 1}. What is prob of picking 2 y and 1 m?
1/56
Four letters picked without replacement from bbboqoqbqqoqboqbobq. Give prob of picking 4 q.
35/3876
What is prob of picking 1 l and 3 g when four letters picked without replacement from {l: 5, g: 11}?
165/364
Two letters picked without replacement from rrarrrrrrrrararrrr. What is prob of picking 2 r?
35/51
What is prob of picking 1 z and 1 p when two letters picked without replacement from {p: 1, z: 2, y: 1, f: 5, q: 1}?
2/45
Two letters picked without replacement from {p: 2, x: 1, f: 1, e: 2, c: 6}. What is prob of picking 1 c and 1 x?
1/11
Calculate prob of picking 1 y and 2 t when three letters picked without replacement from yytttttyttt.
28/55
What is prob of picking 2 f, 1 u, and 1 y when four letters picked without replacement from {y: 10, u: 2, f: 6}?
5/51
Calculate prob of picking 1 c and 1 h when two letters picked without replacement from hfwfhccwwhfcw.
3/26
Calculate prob of picking 2 o and 1 e when three letters picked without replacement from {x: 3, e: 1, s: 1, d: 3, w: 2, o: 2}.
1/220
Three letters picked without replacement from {n: 6, s: 10, a: 1}. What is prob of picking 1 n and 2 s?
27/68
Four letters picked without replacement from {r: 9, n: 3}. What is prob of picking 2 r and 2 n?
12/55
Calculate prob of picking 2 k and 1 q when three letters picked without replacement from {q: 9, k: 7}.
27/80
Calculate prob of picking 2 c and 2 v when four letters picked without replacement from {v: 2, c: 2, u: 9}.
1/715
Two letters picked without replacement from {s: 5, r: 2}. Give prob of picking 2 r.
1/21
Four letters picked without replacement from ecjeeeejee. Give prob of picking 1 j and 3 e.
1/3
Calculate prob of picking 3 q and 1 t when four letters picked without replacement from qqqqtqqqqqtq.
16/33
Two letters picked without replacement from {w: 2, h: 2, d: 6, b: 1, n: 1}. What is prob of picking 1 n and 1 w?
1/33
Three letters picked without replacement from dtvdvtdvvvgdt. What is prob of picking 2 d and 1 g?
3/143
Calculate prob of picking 2 h when two letters picked without replacement from {c: 2, h: 9}.
36/55
Calculate prob of picking 1 r and 2 d when three letters picked without replacement from {g: 4, d: 3, r: 6}.
9/143
Calculate prob of picking 2 r when two letters picked without replacement from {r: 13, s: 4, d: 3}.
39/95
Calculate prob of picking 1 t and 1 x when two letters picked without replacement from xrttrzrsttdrtxt.
4/35
Calculate prob of picking 1 o, 1 a, 1 d, and 1 e when four letters picked without replacement from edoooeoooawaaddaaoo.
20/323
Three letters picked without replacement from eaaunovuaevu. Give prob of picking 2 a and 1 e.
3/ | {
"pile_set_name": "DM Mathematics"
} |
98 = -2*x + l. Round x to the nearest one hundred thousand.
-1300000
Let b = 30.767 - -3.103. Let z = -33.87002822 + b. What is z rounded to 6 dps?
-0.000028
Let t = -17.4091673 + -88445.5878327. Let l = -88499 - t. Let b = l + 36. What is b rounded to 3 decimal places?
-0.003
Let p = 573.2 - 642. Let t = 68.79999974 + p. Round t to 7 decimal places.
-0.0000003
Let k = -2908272 - 1318728. What is k rounded to the nearest one hundred thousand?
-4200000
Let c = -44923 + 227773. Let p = -281250 + c. Round p to the nearest ten thousand.
-100000
Let n = -1.39110009336 + 1.3911. What is n rounded to seven decimal places?
-0.0000001
Let f be (-5)/(-18 + -2) - 86/(-8). Suppose 2 = 13*o - f. Suppose 7*v - 4*v + o = c, -4*c + 31 = -3*v. What is c rounded to the nearest 100?
0
Let p = 30.98030336 - 30.98. What is p rounded to six decimal places?
0.000303
Let j = 6.77 - -16.67. Let h = j + -8.151. Let z = h + -15.3. What is z rounded to 1 dp?
0
Suppose 2*i + 5*i = 35. Suppose -i*u - 217290 = -0*u + 2*p, -u = 2*p + 43450. Round u to the nearest ten thousand.
-40000
Let o be (21/(-27))/(2/(-18)). Suppose -3*l = 5*t + 582, -2*l + 12*t - 363 = o*t. What is l rounded to the nearest ten?
-190
Let q = -613995210 + 613994435.998838. Let r = 774 + q. What is r rounded to four decimal places?
-0.0012
Let d = -42625.000029145 + 42625. What is d rounded to seven decimal places?
-0.0000291
Let d = -0.03132877 + 0.0144225. Let u = d - -0.0169. What is u rounded to seven decimal places?
-0.0000063
Let m(i) be the first derivative of -2*i**4 - 14*i**3/3 - i**2 + 11*i + 172. Let d be m(-4). What is d rounded to the nearest ten?
310
Let z = -2186.6 - -1574. What is z rounded to the nearest ten?
-610
Let b = -161794 + 161792.08878. Round b to 1 dp.
-1.9
Let a = 2.6345 - 2.6345225065. What is a rounded to seven dps?
-0.0000225
Let z = 0.1174 - 0.0672. Let k = 1.7898 + z. Round k to zero dps.
2
Let m(v) be the third derivative of -125*v**4/8 + 5*v**3/6 - v**2. Suppose -85*d - 18 = -27 - 76. Let l be m(d). What is l rounded to the nearest one hundred?
-400
Let g = -0.178 - -0.331. Let h = 8 - 8.1696. Let b = h + g. What is b rounded to 3 dps?
-0.017
Suppose -2*f + 3*r = -31, -4*f = -5*r - 21 - 44. Suppose 21*a - 641000 = f*a. Round a to the nearest 10000.
640000
Let y be (-2)/16 + (-3198)/16. Let c be y*(8/(-8) - -31951). Round c to the nearest 1000000.
-6000000
Let v = -7679 + 4229. Let n = -3450.2109 - v. Round n to one decimal place.
-0.2
Let o = -0.06 + 0. Let m = -2728 - -2727.965. Let f = m + o. Round f to two dps.
-0.1
Suppose 4*o - 4*i = 7901012, -4*o + o = -5*i - 5925757. Suppose o - 7728254 = -11*w. What is w rounded to the nearest 10000?
520000
Let i be (-65195)/(-3) - 1 - 28/(-21) - 0. Round i to the nearest 1000.
22000
Let y = -80362984.99999488 - -80362878. Let k = -107 - y. Round k to seven dps.
-0.0000051
Let d = -1678336 + 1678271.16221. Let c = d - 8.16711. Let l = 73 + c. Round l to 3 dps.
-0.005
Suppose 35*s + 5 = 30*s. Let p be (29574/12)/(s/(-6)). Suppose -42213 = 3*f + p. Round f to the nearest 10000.
-20000
Let d = 260 - 260.0364. Let o = -0.03640809 - d. Round o to 6 dps.
-0.000008
Let k = -15229 + 15232.8644. Round k to 1 decimal place.
3.9
Let w = 54.9913 - 55. Let c = w - -283.0087. Let a = 283.000179 - c. What is a rounded to five dps?
0.00018
Let c = 25032.3 - 29413. Round c to the nearest 1000.
-4000
Let y = -6483 + 6482.75205. Round y to two dps.
-0.25
Let w = 3.8795573 + -4.02865. Let z = 0.1492 + w. What is z rounded to 5 decimal places?
0.00011
Let x(u) = -2*u**2 - 101*u + 58. Let o(m) = m**2 + 51*m - 29. Let p(a) = -5*o(a) - 3*x(a). Let r be p(-21). What is r rounded to the nearest 10?
-600
Let t = 2.8 - 4.6. Let l = 3.4463835 - 1.646389. Let p = l + t. What is p rounded to six dps?
-0.000006
Let q = -73 + -86. Let n = q - -67. Let b = -91.999918 - n. Round b to five dps.
0.00008
Let f = 1545 + -1050. Let b = f + -495.0229. What is b rounded to 3 decimal places?
-0.023
Let a(i) = i**2 - i - 1. Let j(v) = -9*v**2 - 19*v - 100. Let r(l) = -2*a(l) - j(l). Let g be r(-14). Round g to the nearest one thousand.
1000
Let f = -0.27059 - 0.014182. What is f rounded to two dps?
-0.28
Let l = -10592.8 - -12020. Round l to the nearest 100.
1400
Let x be 25/(-75)*-1552*(11 + 1). Suppose f - 5*o + 589 = 4827, -4*o = 8. Let l = f - x. What is l rounded to the nearest one thousand?
-2000
Suppose 5*f = 25, 5*r = r - 3*f + 15. Suppose -q = -r*q. Suppose -3*o = -g + 4*g + 3329991, 3*g - 4*o + 3330012 = q. Round g to the nearest 100000.
-1100000
Let u(g) = 12*g - 53. Let n be u(5). Let j be 1410*(n + 85/(-15)). Round j to the nearest 100.
1900
Let i = -124.67 - -0.67. Let x = i - -123.9708. What is x rounded to three dps?
-0.029
Let p = 38.971 + -39. Let s = 5.111 - p. Round s to one dp.
5.1
Let j = 628.9556 + 0.0444. Let g = -618.9 + j. Round g to the nearest 10.
10
Let h(w) = -1370719*w + 260. Let z be h(-16). Let v = z - 34581764. Round v to the nearest 1000000.
-13000000
Let d = 191.9 - 146.435. Let p = -158.1 - -158.435. Let n = d + p. Round n to the nearest 10.
50
Suppose 2 - 14 = -2*j. Suppose j*o - 2163 = 3*o. What is o rounded to the nearest 10?
720
Let b = 146.132 - 146.065159. Let y = b + -0.067. What is y rounded to 5 dps?
-0.00016
Let q = 31.00635 - -0.31165. What is q rounded to 1 dp?
31.3
Let n = 0.69 + 178.31. Let q = -61.4 - n. Round q to the nearest 10.
-240
Suppose -3*m - 9*y + 12*y = 426960012, 0 = 4*m + y + 569279996. What is m rounded to the nearest one million?
-142000000
Let t = 12.44 + -12. Let s = 917138 - 917138.4399564. Let w = s + t. Round w to five dps.
0.00004
Let c = 5441.0735 + 9.6265. Let p = -5117 + c. Round p to the nearest ten.
330
Let t = -2.5 + 2.9. Let z = t + 3.6. Let s = -2.4 + z. What is s rounded to the nearest integer?
2
Let v = 0.08 + 36.92. Let o = v + -36.44. Let b = -6.94 - o. Round b to the nearest ten.
-10
Suppose 33*u = 38*u - 65. Let z(i) = -1 + u - 129997*i + 6. Let x be z(-6). What is x rounded to the nearest 100000?
800000
Let k = -10420.9990731 + 10421. Round k to 4 decimal places.
0.0009
Let a = -11.589 - -9.2824. What is a rounded to 2 dps?
-2.31
Let i = -0.02343 - -52.42343. What is i rounded to the nearest one hundred?
100
Let u = -3938.999999961 - -3939. What is u rounded to 7 dps?
0
Let l be (124/10)/(7/(-35)). Let j = -102 - l. Let i be j/15*(-99)/(-12). What is i rounded to the nearest ten?
-20
Let v = 2768.974142 - 2769. What is v rounded to three dps?
-0.026
Let h = 26.437 + -26.4. Let n = h + -0.02821. Round n to 4 dps.
0.0088
Let y = -600 - -448. Let f = -152.348 - y. What is f rounded to 1 dp?
-0.3
Let d = 204 - 355. Let z = -364 - d. Let m = z + 213.00000137. Round m to 7 dps.
0.0000014
Suppose 11*c + 8 = 15*c. Let j be (-3205*(-42)/60)/(1/c). What is j rounded to the nearest one hundred?
4500
Suppose 4*b - 53*b - 87*b + 950177600 = 0. Round b to the nearest ten thousand.
6990000
Let z = -68.7606343 + 68.76. What is z rounded to four decimal places?
-0.0006
Let r = 0.027 + -0.0783. Let c = 8.8387 - r. Round c to 0 decimal places.
9
Let s = 70008 + -70007.99999971343. What is s rounded to seven dps?
0.0000003
Let f be (-1922 + -45)*(-710)/35. Let m = -5 - -8. Suppose 2*y - f = m*d, 19625 = -4*d - 2*y - 33573. What is d rounded to the nearest ten thousand?
-10000
Let n(l) = 959921*l - 4968. Let k be n(8). What is k rounded to the nearest one hundred thousand?
7700000
Suppose 0 = -15410*m + 15443*m - 1262250. What is m rounded to the nearest 100000?
0
Let n(d) = -20*d + 8*d + 2*d - 658573*d**2 + 7. Let z be n(-7). Round z to the nearest one million.
-32000000
Let i = 25.5 - -7.5. Let y = i - -10. Let p = 42.9997 - y. What is p rounded to 3 decimal places?
0
Let w(y) = 88*y - 28. Let d be -6*2*(4 - 5). Let f be w(d). What is f rounded to the nearest one hundred?
1000
Let d = 44018 + -44019.8503. What is d rounded to two decimal places?
-1.85
Let a(y) = -y**3 - 14*y**2 - 23*y - 20. Let o be a(-12). Let j be 2973 - 56/o*4. Round j to the nearest one thousand.
3000
Let g = -91.63 + 95.9965. Let z = g - 4.4. What is z rounded to 3 dps?
-0.034
Let y = 639.1 + -639.10026831. Round y to 4 decimal places.
-0.0003
Let m(j) = -2108*j**3 + 204*j**2 - 13*j + 32. Let h be m(6). Round h to the nearest 10 | {
"pile_set_name": "DM Mathematics"
} |
+ z. List the prime factors of w.
7
Let o(l) be the first derivative of -7*l**2 + 667*l - 70. List the prime factors of o(0).
23, 29
Let n(o) = -o**3 + 9*o**2 + 11*o - 8. Let g be n(10). Suppose -5*w - 3*s = 10, 2*s + g = -3*w - 5. List the prime factors of (3 - 18/8)/(w/24).
2, 3
Let x be ((-4)/3)/(2/3). Let a be (1 - 2)/(-2 + (-1 - x)). What are the prime factors of 67 - (-2 + a - -2)?
2, 3, 11
Let v(c) = c**2 + c. Let o(g) = -2*g**3 - 3*g**2 + 30*g + 7. Let l(u) = o(u) + 4*v(u). List the prime factors of l(-5).
2, 7
Let j(i) be the third derivative of -i**5/15 - 5*i**4/12 - i**3 + 42*i**2. Let g be j(-2). What are the prime factors of -3 + g + -10 + 133?
2, 59
Suppose 0 = 48*n - 50*n + 18548. What are the prime factors of n?
2, 4637
Let u be 4/6*3/(-2). Let q be 1 + (-1)/(-1) - u. Suppose 4*z - 1179 = x, 0*x = q*x - 3. What are the prime factors of z?
5, 59
Let i be ((-3)/(-9))/((-1)/(-12)). Let r(d) be the first derivative of d**4/2 + d**3 + 3*d**2/2 - 14*d - 1099. List the prime factors of r(i).
2, 3, 29
Let m(v) = -v**3 + 17*v**2 + 20*v + 9. Let t be m(17). What are the prime factors of (0 - (-24)/6) + t?
353
Suppose 0 = 4*t - h - 3955, 12 = 126*h - 130*h. Let b = -11 + 21. Suppose 14*w - t = b*w. List the prime factors of w.
13, 19
Suppose -1 - 5 = 2*u, 5*m + 2*u = 19. Suppose -2*n = 3*a - 16, a = -0*a + m*n - 23. Suppose -2*t + 220 = a*t. What are the prime factors of t?
5, 11
Let d(h) = -361*h + 359. List the prime factors of d(-73).
2, 3, 7, 53
Let w(b) be the third derivative of b**4/4 - b**3/3 - 18*b**2. Let o be w(5). Let p = 182 - o. What are the prime factors of p?
2, 7, 11
Suppose 3*j = 83 - 50. Suppose 0 = 4*t + 2*f - 14, -10*f + 13*f - j = -t. What are the prime factors of t?
2
Let f(l) = -4*l + 1134. Let z be f(0). List the prime factors of z/15 + (-10)/(-25).
2, 19
Let z = 821 - 812. Let i(m) = -51*m**3 + m**2 + m - 2. Let t be i(-2). Suppose 3*f = -z*f + t. What are the prime factors of f?
2, 17
Let m = 3777 - 1996. List the prime factors of 0 + 0 + 8 + m.
1789
Let d(z) = -z**3 + 2*z**2 - 5*z - 5. Let c = -148 + 142. What are the prime factors of d(c)?
313
Suppose 4*k - 12 = 0, 28*k = 3*w + 23*k - 145002. List the prime factors of w.
3, 41, 131
Let q(d) = -d**3 - 11*d**2 - 6*d + 5. Let r be q(-8). Let v = r - -362. List the prime factors of v.
223
Let g = 43 + 37. Suppose g*f - 87*f + 2758 = 0. List the prime factors of f.
2, 197
Let t(x) = 19*x**3 + 2*x**2 + 10*x - 6. Let p be t(6). What are the prime factors of p/10 + -8 - (1 - 0)?
2, 3, 23
Suppose -19 + 127 = 2*v. Let k = 1692 - 187. Suppose k = -47*g + v*g. List the prime factors of g.
5, 43
Suppose 2*t = -3*k + 245, 0 = 4*k + 3*t - 176 - 151. Let r be (54/(-7))/((-16)/224). Let a = r - k. What are the prime factors of a?
3
Let s = 25377 + -12332. List the prime factors of s.
5, 2609
Let v = 3 - 5. Let x be (-4)/36 - 33735/135. List the prime factors of x/(-20) + 1/v.
2, 3
Suppose 0 = 21*y - 19*y - 14. Suppose 0 = -n - 3*o - y - 16, -3*n = -2*o + 58. List the prime factors of (n/7)/((-2)/7).
2, 5
Let h(y) = -1412*y + 839. What are the prime factors of h(-4)?
13, 499
Let g be 2/(-4)*(-8 + 10). Suppose -643 = 6*d - 2095. Let s = d + g. List the prime factors of s.
241
Let a = 16728 - -6681. List the prime factors of a.
3, 17
Suppose 84*k - 79*k + 59175 = 0. What are the prime factors of (k/60)/(12/(-32))?
2, 263
Suppose 0 = 5*h - b - 2245, -3*h + 1354 = -2*b - 0*b. What are the prime factors of (-4 - (5 + -10))*(3 + h)?
11, 41
Suppose 4*m - 802 = -3*c, 389 = 3*c - 3*m - 427. Suppose 4*l = -3*d + 758, d = -0*d + 3*l + c. What are the prime factors of d?
2, 3, 43
Let f(o) = o**3 - 5*o**2 - 22*o - 24. Let s be f(11). Suppose -t + h = -s, -1384 = 18*t - 21*t + 2*h. List the prime factors of t.
2, 29
Suppose -63 = 7*o - 14*o. Suppose -o = a - 39. List the prime factors of -10*(-105)/a*2/2.
5, 7
Let h = -100116 + 145365. List the prime factors of h.
3, 15083
Let u(q) = 7*q**2 - 8*q - 48. Let r be u(-6). List the prime factors of (-72)/r + (-3084)/(-14).
2, 5, 11
Let p = 8587 - 216. List the prime factors of p.
11, 761
What are the prime factors of 1611*((-1)/(24/(-218)))/((-41)/(-164))?
3, 109, 179
Let m(y) = 26*y - y**3 - 58*y**2 + 105*y**2 + 28 - 57*y**2. Let a be m(-12). Suppose 2*k - 220 = k - a*p, -5*k + 2*p + 1210 = 0. List the prime factors of k.
2, 3, 5
Suppose 446899 - 103132 = 19*p. List the prime factors of p.
3, 37, 163
Suppose -5*n = 3*k - 41619, -2*k - 3*k + 69393 = -n. What are the prime factors of k?
2, 3, 257
Let j be (6/4)/(((-21)/(-8))/(-7)). What are the prime factors of (j/((-40)/(-145)))/((-1)/6)?
3, 29
Let a(l) = -20*l + 74. Let t(f) = 23*f**2 + 92*f + 2. Let b be t(-4). List the prime factors of a(b).
2, 17
Let v = -39 + 48. Suppose 12 = -5*r + v*r. Suppose -62 - 337 = -r*j. List the prime factors of j.
7, 19
List the prime factors of (-644)/(((-8)/12416*-8)/((-8)/32)).
2, 7, 23, 97
Let x(s) = -3*s + 39. Let k be x(21). Let u = 20 + k. What are the prime factors of -3 - (-261)/(7 + u)?
2, 3, 7
Let f be 4 + 12/(-6) - -1. Suppose 0 = 2*b + 5*a - 1073, -1113 = -2*b - 0*b + f*a. What are the prime factors of b?
3, 61
Let x = -2307 + 1588. Let f = x + 1644. What are the prime factors of f?
5, 37
Let g(z) = 2*z - 14. Let w be g(8). Suppose 4*s = w*s. Suppose s*d + 1099 = 7*d. What are the prime factors of d?
157
Suppose -12*t + 659366 - 39326 = 0. What are the prime factors of t?
2, 5, 5167
Let u be 6/(-7)*(-126)/27. Suppose -3*s + 168 = -3*b - 0*s, 0 = -u*b - 5*s - 188. Let y = b - -109. What are the prime factors of y?
3, 19
Let l = -2122 + 23599. List the prime factors of l.
3, 7159
List the prime factors of 1499*(-9 - (-3 + -7))*7.
7, 1499
Let y(h) = -h**2 - 4*h + 3. Let d be y(-5). Let z(w) = -4 - 65*w + 21*w + 18*w**2 + 21*w + 24*w. What are the prime factors of z(d)?
2, 3, 11
Suppose -4*s - 64514 = -5*c, 4*c - 15743 = -5*s + 35819. List the prime factors of c.
2, 6449
Suppose 9*x - 59 = -5. Let d(c) = 2*c**2 + 11*c - 40. What are the prime factors of d(x)?
2, 7
Suppose -16*c = 59*c - 1103072 - 301378. List the prime factors of c.
2, 3, 3121
Let h(i) = 39684*i**2 - i**3 + 4*i - 39701*i**2 - 10*i + 3. Suppose -3*d + 0*d = -6, -2*a + 2*d = 38. What are the prime factors of h(a)?
3, 5, 7
Suppose 3*n - 150860 = -4*p, 4*p - 2*p + n = 75434. What are the prime factors of p?
67, 563
Let c = 301 + -62. Suppose -3*i + 92 = 2*q, -5*q - 4*i + i + c = 0. Let o = 140 + q. List the prime factors of o.
3, 7
Let b(r) be the first derivative of 11*r**3/3 + 4*r**2 - 50*r + 139. What are the prime factors of b(6)?
2, 197
Let y(z) = 11*z**3 - 3*z**2 + 2*z + 2. Let f be y(2). Suppose 6*j - 160 + 112 = 0. Suppose -7*l + j*l = f. List the prime factors of l.
2, 41
What are the prime factors of (4004/20 - -2)*(28 - -167)?
3, 13, 337
Let q(h) = -17*h**3 + 8*h**2 + 4*h - 2. Let j be q(-3). Suppose 0 = -n - g - g + j, 0 = -2*n - 5*g + 1031. List the prime factors of n.
523
Suppose 5*m - 3*p = 38232, 2*p + 3*p = 3*m - 22936. Let v(w) = -w**3 - m*w + 0*w**2 + 21*w**2 - 6 + 7674*w. What are the prime factors of v(22)?
2, 13
Let d = 65 - 65. What are the prime factors of 522 + d + 54/(-9) + 9?
3, 5, 7
Suppose -4584 = -t - 4*o, -3*t + 14990 = 2*o + 1258. What are the prime factors of t?
2, 11, 13
Let y = -9657 - -22387. What are the prime factors of y?
2, 5, 19, 67
Let w = -1903 - -2687. Let c = w - 508. List the prime factors of c.
2, 3, 23
List the prime factors of 456/(-24) + 28 - (2081*-96)/3.
66601
Let a(g) be the third derivative of g**5/30 + 5*g**4/12 + g**3/2 - 267*g**2. Suppose d + 24 = 4*l, 0*d = 4*d + 2*l + 24. List the prime factors of a(d).
3, 17
Let v(n) be the third derivative of -7*n**4/8 - 29*n**3/6 - n**2. Suppose 19*b - 21*b = 2*p + 10, 4*b + 2*p = -22. What are the prime factors of v(b)?
97
Let d = 162 + -156. Suppose -16*p + 28776 = d*p. List the prime factors of p.
2, 3, 109
Suppose -r = 3*r - y - 7722, 2*y + 1934 = r. Suppose -2*u + r = 2*u - h, 4*h = -8. List the prime factors of u.
2, 241
Let z = 12287 - 8574. What are the prime factors of z?
47, 79
Let m(f) = 36*f + 687. What are the prime factors of m(-8)?
3, 7, 19
Let k = 569 + -122. Suppose -3*g + 12 + k = 0. What are the prime factors of g?
3, 17
Suppose y + 3396 = -y. Let f = -1173 - y. List the pr | {
"pile_set_name": "DM Mathematics"
} |
-5*l = -3*d + 9 for l.
-3
Let q = 4 + -2. Let m be ((2 - q)/(-2))/(-1). Let n(v) = -3*v - 1. Let s be n(-2). Solve m = t - 3*t - o + s, 4*o = -2*t + 14 for t.
1
Suppose -3*r - 2*v = 109, 6*v + 113 = -3*r + 2*v. Let l be 5/(-2)*84/r. Solve -3*s - y + l = -6*s, 2*s - 4*y + 4 = 0 for s.
-2
Suppose -2*t + t + 1 = 0. Let f be t + (-9)/(-3) + 0. Suppose f*j - j - 15 = 0. Solve 4*q - 3*u = -9, -j*q - 4*u + 12 = -0*u for q.
0
Let p = -16 + 28. Suppose 3*t + 15 = -p. Let r be 7/9 - 2/t. Solve -3*n + o - r = -2*n, 5*o - 25 = 0 for n.
4
Let q = -78 - -80. Let d be ((-14)/(-4))/(1/2). Solve -40 = 3*j + 5*h, -q*h = -d*h - 25 for j.
-5
Let j(a) = -a**3 + 10*a**2 + 2*a - 2. Let w be j(10). Suppose 4*g = 3*g + w. Solve 0 = z - 5*u - g, 3*u = z - 4 - 8 for z.
3
Suppose -21 = v - 5*x, -3*v + 2*x + 7 = x. Solve 2*u - 25 = -v*k - k, -20 = -4*k - 5*u for k.
5
Let u be 3/(-3)*0 - -1. Suppose 3*c - u = 8. Solve 2*k = c*s - 9, -k + 4*s = -1 + 18 for k.
3
Let j(x) = -x**2 + 14*x - 11. Suppose -k - 64 = -5*o, -32 = -3*o + 2*k + 5. Let p be j(o). Solve 4*c + 2*f = -4, 0 = -6*f + p*f - 16 for c.
1
Suppose -147 = 5*a + u - 371, -5*u - 95 = -2*a. Solve -2*y - 2 = -4*b + b, -5*y - 5*b + a = 0 for y.
5
Suppose -6*w + 8*w = 12. Suppose -w*o = -3*o. Let h be -2 - -3 - (1 + o). Solve h*f + 4*n - 24 = 2*f, 3*n - 15 = 0 for f.
-2
Let d = 3 - 1. Let b be (d/(-2) + 11)/2. Solve -5*k + y = -3*y + 6, -b*k - 5*y - 15 = 0 for k.
-2
Let w be 14 + 3 + (1 - 4). Suppose -3*y + 1 = -w. Solve -v = -3*d - 4, 4*v - 2*v = 3*d + y for d.
-1
Let b = 12 + -20. Let p(l) = -8 + 6*l**2 - l**2 - 4*l**2 + 7*l. Let m be p(b). Solve 0 = 5*q + 2*v - 8, 3*q - 2 = -4*v - m for q.
2
Suppose -10 = -3*s - 46. Let x = s + 17. Suppose -2*m - 2*l = 6, 4*l + 22 = 2*m - 2. Solve -2*r - 2 - m = -2*o, x*o = 3*r for r.
-5
Let t be (-5)/(-10) - (-7)/2. Solve -p + 5 = -4*v - 0, -t*p + 7 = -3*v for p.
1
Let t be (30/(-25))/((-2)/5). Suppose -c - t*h = 0, -c + 11 = 2*c - 2*h. Suppose -c*q + q = -6. Solve -2 = -l - s + 5, 2*l + q*s - 16 = 0 for l.
5
Suppose -17 = -2*g + 5. Let m(d) = -d**3 + 12*d**2 - 12*d + 14. Let f be m(g). Solve 0 = 2*s + k + 10, f + 2 = -s - 4*k for s.
-5
Let t be 2/((-2)/4 + (-30)/(-12)). Solve 2*o + 2*j + t = -j, -5*j = -15 for o.
-5
Suppose z + 0*z = 5. Let o be ((-6)/z - 0)*-5. Solve q - o = g, -2*q = -3*g + 5*g for q.
3
Let o = -13 - -9. Let l(b) = b**2 + 4*b + 4. Let z be l(o). Solve 0 = -z*q - 3*j - 2*j + 15, 0 = 4*q + 4*j - 16 for q.
5
Suppose -s = s. Suppose -2*w + 1 + 19 = s. Solve -u = 2*q + 6, -5*u + 2 = -4*q - w for q.
-3
Let i(d) = -15*d - 1. Let s be i(-1). Solve -3*q + 2*j - s = 0, 3*q - 4*j + 1 = -21 for q.
-2
Suppose -m + 6*m - 5 = 0. Let a = 4 - m. Suppose 2*j = -2*r - j + 4, -r + 4*j + 2 = 0. Solve r*w = -a*w + k, 0 = w + 4*k for w.
0
Let g(u) = u**2 + 7*u + 2. Suppose -2*q - 2*p - 14 = 0, -5*p + 34 = -5*q - 1. Let z be g(q). Solve -4*v + k + 17 = 6*k, v = -z*k + 8 for v.
-2
Suppose 0 = -2*s - 2*p + 10, -3*s - 1 = -7*p + 2*p. Let h(z) = 2*z - 3. Let l be h(4). Solve 5*j + 4*c + 8 = 5*c, s*j + 16 = -l*c for j.
-2
Suppose -69 + 3 = 3*z. Let o = -12 - z. Solve -2*q - 3*g = -q - o, 4*g - 10 = -3*q for q.
-2
Let o = -1 - 3. Let l be (-30)/o*(0 - -20). Suppose -3*a - l = -8*a. Solve -s - 2*x = 3*x + a, 5*x = 5*s for s.
-5
Let q(z) = z**3 + 8*z**2 - z - 3. Let x be 2*1*(-1 + -3). Let a be q(x). Solve -3*h - 4 = -5*y - 1, 2*h + 7 = a*y for y.
3
Let y(d) = -d**2 + 25*d - 24. Let q be y(24). Solve 4*l = -4*m + 32, q*l + l = -5*m + 28 for m.
5
Let w(s) = -2*s - 12. Let g be w(-7). Solve -g*b + 2*a - 10 = 0, -b = -0*b + 2*a + 5 for b.
-5
Let j = -19 + 24. Solve 0 = -5*a + j, -23 = -5*r + a - 4*a for r.
4
Suppose g - 4*t + 0*t = 0, -5*t = 5*g - 25. Let a be 0*4/8*1/2. Solve -3*b = -12, a*b + 3*b = g*s for s.
3
Suppose 0 = -5*a - 4*t - t + 30, -4*a = 3*t - 22. Let j be 2/5 + 8/5. Let v = a - j. Solve 2*s = -v*s - 8, -2*x - 3*s - 14 = 0 for x.
-4
Suppose f - 3*f = -10. Suppose -5*r + 29 = -t, 4*r - 8*r - 3*t = -8. Suppose 0 = u - r - 2. Solve 5*y = a + 6 + u, 4*a = f*y - 22 for a.
-3
Let b be (0 - -14)*(-2)/(-4). Let o(h) = -13*h - 12. Let g be o(-9). Let f be (-6)/9 + g/9. Solve f = -2*w - 3*x, -b = 4*w + 3*x - 0 for w.
2
Suppose 0 = 17*g - 68 + 17. Solve -15 = 3*d - g*y, 0 = d + 3*y - 11 for d.
-1
Suppose 5*g - 2*g = 4*s - 10, -2 = -3*s + 5*g. Solve 5*n + 21 = -s*b, -2 = -2*n + b - 0 for n.
-1
Let u = 3 + 0. Solve -u*o = 5*y + 6, 0*o = -o + 4*y - 2 for o.
-2
Let a = -3 + 7. Let c be (a/4)/(2/16). Suppose g - c = -g. Solve 3*t = 3*v - 2 - 13, -t = g*v - 20 for v.
5
Suppose 7 = 5*r - 3. Let d = -3 + 1. Let h = d + r. Solve h*a = -5*a - j + 4, -j + 3 = 4*a for a.
1
Suppose 2*p = 117 - 107. Solve 0 = u + p*q, 2*q = -q + 3 for u.
-5
Suppose -8 + 0 = -b. Let a = b - 5. Suppose 6 = -a*x + 4*q - 4, -5*x - 2 = -3*q. Solve x*z - 5*h = 3*z - 9, -4*z - 10 = -3*h for z.
-1
Suppose -8*b + 60 = -4*b. Solve -1 = 5*u - 2*r, 3*u = -5*r + r + b for u.
1
Suppose 1 = 2*v + s, -7*v + 9*v - 5 = -5*s. Solve 2*j - 3*f = -v*f - 8, 4*f = 0 for j.
-4
Let t = -40 - -44. Solve 2*y + 4*z + t = -18, 0 = -5*y + z for y.
-1
Let z = 8 - 20. Let n = 22 + z. Solve 3*l + 6 = -t, -2*t - 2*t + 2*l = n for t.
-3
Let r be 6 + (-2 + 3 - 3). Solve -2*k + 30 = -r*o, -k - 3 - 7 = 3*o for k.
5
Suppose f - 4*l + 2 - 1 = 0, -5*f + 12 = -3*l. Solve 4*t = a - 6, 0*a = f*a + 6 for t.
-2
Suppose 0 = q + 7 - 12. Solve 0 = 2*x + 4*n + 12, 3*n + 16 = -q*x - 0*n for x.
-2
Suppose 4*t + q = -17, -q + 7 = 4. Let x be t*(-1)/(-3)*-3. Solve 0 = -2*d + 3*w + 14, -x + 19 = -2*d - 4*w for d.
1
Suppose 0 + 6 = -2*g, -g + 45 = 3*h. Let w be (-36)/(-15)*10/3. Suppose w*q = 3*q + 30. Solve o + q = -o + j, -4*j - h = 2*o for o.
-4
Suppose -5 - 4 = -3*a. Let p be 0 + 0 + -1 + a. Solve 2*g = r, p*g = -5*r + 5*g + 14 for r.
4
Suppose 6 = 26*o - 23*o. Suppose -f - 13 = -4*c, o*f + 4*c = -0*f + 22. Solve f*n + 10 = 4*r, 2*r + r - 6 = 3*n for r.
4
Let c(a) = -3*a + 25. Let v be c(8). Let w be (-18)/8*(-6 + 2). Solve f = v, 0*n - 3*n - w = -3*f for n.
-2
Suppose 30 = -3*v + 5*v. Suppose -4*g - v = -9*g. Solve 3*w = -g*c - 0*w, 2*c - 2*w = 12 for c.
3
Let t = -192 + 195. Solve -2*h + 15 = 3*v, 0 = t*v + 5*h - 15 for v.
5
Let a be (0 - 0/2)/(8/(-4)). Let i = 0 + 4. Suppose w - i = -a. Solve 5*d - 6*q + 3*q + 20 = 0, -w*d - q = 16 for d.
-4
Let j = -49 + 49. Solve j = g - 0*g - 5*b + 8, 0 = -5*g + b + 8 for g.
2
Let z(q) = 4*q**2 - 3*q + 5. Let h be z(2). Suppose 2*u - h = -u. Solve -r - u*i = -16, 0 = -r - r + i - 1 for r.
1
Suppose 2*a - 6 = q, -2*a + 24 = 5*q + 6. Suppose -3 = h - q. Let c be 2 - (1 + -3 - h). Solve -r + 17 = 4*s - 9*s, -c = -3*r - s for r.
2
Suppose -3*y + 2 = -2*y - 5*u, -2*y = -u - 4. Let x be (-4)/14 + y/7. Solve -4*d = -3*h, x = h - d - 3 + 4 for h.
-4
Suppose -5*a + 25 = 5*m, -3*m = -a - 7*m + 14. Solve -a*l + 3*g + 2*g = 23, l + 3*g - 16 = 0 for l.
1
Let d = 6 + -5. Solve 0 = y + 3*x - 2 - d, -3*x = 0 for y.
3
Let o(g) be the third derivative of 0*g + 1/60*g**5 + 0 + 7/6*g**3 + 5/12*g**4 + 4*g**2. Let t be o(-10). Solve -4*c = -x - 2*x - t, -4*c - 3*x = 23 for c.
-2
Suppose 3*y - 2*y = 5, -7 = -3*t + 4*y. Suppose -r + 5*a = 15, -r - 3*r + t = 3*a. Let v = 1 - r. Solve 2 + 1 = -3*c, n + c = -v for n.
0
Let a be (-1)/2 + 14/4. Let y = -5 + 7. Let h = a + y. Solve 0 = -h*z - 4*n - 30, 1 = 3*z - z - n for z.
-2
Suppose 9*q - 9 = 9. Solve 7*l - 4*l + 3*k = -12, 4 = -q*k for l.
-2
Suppose 4*o - 37 = -o - 3*f, o + f = 9. Suppose -5*s - 5 = -q + 6*q, o*s - 2*q = 23. Solve -s*z = -2*x, 0 = -0*x - 2*x for z.
0
Let y = 6 + 0. Suppose 0 = -2*q + 3*o + y, 3*q - 10 = 5*o. Solve 5*b + 5*t + 14 + 6 = q, -4*b - 19 = t for b.
-5
Suppose -2*w = -3*h - 0*w, -5*w = -5*h. Solve b - 5*r + 0 - 1 = h, 3*r = 0 for b.
1
Let r = 56 - 56. Solve -4*z - 2*q = -16, r*q - 2*q = 3*z - 12 for z.
4
Suppose -26 = o - 28. Solve 0 = 4*s + 3*n + 5, 7 - o = -s + 3*n for s.
-2
Suppose -5 = 2*p + c, -c = -p - 2*c - 5. Let x be 7/(p + 1) + -2. Solve 0*o - 5*d = -3*o - 15, 2*d - x = o for o.
-5
Let x be 2/(-10) - 3/(-15). Let z be x*((-1)/(-2))/(-1). Solve -l - 9 = -3*d, -5*d + z*d = -10 for l.
-3
Let c be (-86)/10 - 9/(-15). Let p = 20 + c. Solve 0 = -5*k - 3*b - 4 - 2, 0 = -4*b + p for k.
-3
Suppose -6*q + 1 = -q + f, -4*q + 3 = 3*f. Solve -n - 4 = q, 2*y + n - 5*n - 22 = 0 for y.
| {
"pile_set_name": "DM Mathematics"
} |
+ i*k + n + t*k**2 + u*k**3 and give s.
-67
Express -5*y**2 - 2*y**2 + 3*y**2 - 20 + 3*y**2 - y**3 in the form n*y**2 + v*y + d*y**3 + m and give n.
-1
Rearrange -2*p + 12*p - 25*p**2 - 8*p + 18 to the form u*p**2 + s*p + a and give a.
18
Express (3*x - 1 + 1)*((-2*x - 3*x + 4*x)*(-55*x - 60*x + 105*x) + 0 + 0 - x**2 + 3*x**2 - 3*x**2 + 2*x**2) in the form z*x + s + r*x**3 + h*x**2 and give z.
0
Express -4160 + 4160 + 112*f + 3*f - 3*f - 3*f + 0*f - 4*f + 5*f + (0*f - f - f)*(-2 + 5 - 1) in the form y*f + k and give y.
106
Express -4 + 4 + 2*r + (-5 + 3 + 1)*(-4*r + r + r) + (-1 + 0 - 7)*(3*r + 3*r - 4*r) + 0*r + 0*r + r - 13 + 18*r + 13 as a + t*r and give t.
7
Express -1 - 8 - 172*z**2 + 19 + 2*z**4 + 167*z**2 as c + p*z**2 + v*z**3 + f*z**4 + m*z and give p.
-5
Express -178*t - 7*t - 11*t as j + l*t and give l.
-196
Rearrange -385*s**4 + 779*s**4 - s**2 + 2*s**3 + 13*s**2 - 391*s**4 to x*s**3 + i*s + n*s**2 + m*s**4 + b and give m.
3
Rearrange (-3 - 3 - 2*k + 2)*(-23 - 2*k**2 + 4 + 0*k**2)*(-1 + 4 - 2) to d*k + j + u*k**2 + n*k**3 and give u.
8
Express -19 + 19 - 155*b + 383*b in the form c + j*b and give j.
228
Express -1614*o**4 + 5*o**2 + o + 1612*o**4 + 8*o**3 + 2*o as r*o**4 + l*o + w + d*o**3 + g*o**2 and give l.
3
Express (2 - 1 - 2)*(997*q**2 + 2*q**3 - 997*q**2 + 43) as n*q**2 + y*q**3 + v + m*q and give v.
-43
Express -k - 2*k**2 + k + (61*k - 50*k - 34*k)*(3*k - 7*k + k) + k**2 + k**2 + 0*k**2 as y*k**2 + s + h*k and give h.
0
Rearrange -1 + 10*g**2 - 209*g**2 + 24*g**2 - 104*g**2 + 2*g - g to the form i + h*g + z*g**2 and give z.
-279
Rearrange (0 + y + 0)*(-26 - 20 + 9 - 53 - 52 + 103 + (-3 + 2 + 2)*(2 - 5 + 1)) to l + a*y and give a.
-41
Rearrange -1 - 90*c**2 + 4*c + 184*c**2 - 11*c**3 - 92*c**2 + 2*c**4 to the form f + a*c**2 + w*c + p*c**3 + q*c**4 and give q.
2
Express 167 + 46*r - 47*r + 79 + 22 - 51 in the form l*r + x and give l.
-1
Express -1 + t**3 + 1 + 61*t**3 + 58*t**3 - 117*t**3 - 2*t**2 + (-2*t**3 - 3*t**3 + 3*t**3)*(2 + 4 - 1) as l*t**3 + n + a*t + o*t**2 and give o.
-2
Rearrange -90*d - d**2 - 115*d - 6*d**3 - 21*d + 9*d**3 - 4*d**3 to f + u*d**2 + h*d + r*d**3 and give h.
-226
Rearrange -2*c**3 - 278*c**2 - 285*c**2 + 3*c - 4 + 561*c**2 + 3*c**4 to m + w*c**2 + a*c**3 + q*c**4 + r*c and give m.
-4
Express 5*d + 2 - 1418*d**2 + 24*d + 1397*d**2 - 2 in the form p + f*d**2 + l*d and give f.
-21
Express (-5*r**3 + 0*r**3 - 5*r**3)*(5*r + 0*r - 3*r)*(14 + 28 + 12) as c*r**4 + i + j*r**2 + f*r**3 + y*r and give c.
-1080
Rearrange -135*s**2 - 9*s**2 + 2 - 3*s**2 - 127*s**2 + 35*s**2 to the form q + k*s**2 + d*s and give k.
-239
Express (0 - 2 + 1)*(2*t - t + t) + 76*t - 30*t - 21*t + t - 2*t + 4*t in the form j*t + b and give j.
26
Express (-4 - 5 + 8)*((3 + 1 - 3)*(-2 + n + 2) - 1 + 1 - 2*n + 4*n - 3*n + 2*n)*(-5 + 1 + 2)*(-2*n - 4 + 4) in the form x*n + v*n**2 + y and give v.
-8
Express (-273 + 273 - 36*n**2)*(-2 + 2 + 2*n**2) - 15*n**4 + n**4 + 0*n**4 in the form r*n**2 + j*n**4 + v*n + c*n**3 + z and give j.
-86
Express (-4 + 4 + 151*b)*(3*b - 3*b - b)*(0*b - 2*b + 0*b) in the form s*b**2 + t*b**3 + h*b + j and give t.
302
Express 22*r + 115*r**2 - 211*r**2 + 104*r**2 in the form j*r**2 + z*r + b and give j.
8
Rearrange (-7*t + 3*t - 10*t)*(-1 - 1 + 3)*(5*t**3 - t**3 + 2*t**3) to the form a*t**2 + v*t**3 + g + n*t**4 + d*t and give n.
-84
Rearrange 2*p + 151*p**2 + 85*p**2 - 2*p to the form q*p + h*p**2 + z and give h.
236
Express -2 - 8*i + 2*i + 0*i - i - 74 in the form o*i + r and give o.
-7
Rearrange 3 - 18*q + 5*q - 36*q**4 + 6*q + 5*q + q**2 - q**3 + 3*q**3 to p*q**3 + x*q + d*q**2 + n*q**4 + l and give l.
3
Express 94*x**2 - 25*x**2 - 6*x + 6*x in the form m*x**2 + k*x + j and give m.
69
Express -20*y**4 + 2*y + 88*y**2 + 91*y**2 - 181*y**2 + 0*y in the form n*y**3 + i*y**4 + l + z*y + f*y**2 and give f.
-2
Rearrange (-2*o + 4*o + 3*o + (2*o - 5*o + 2*o)*(2 - 1 + 1))*(80 - o - 87 - 4*o) to u*o + n*o**2 + p and give n.
-15
Rearrange 8*u - 8*u + 102*u**2 - 1276*u**2 to the form y*u**2 + j*u + x and give j.
0
Express (-14*q**2 + 4275*q - 4275*q)*(9 - 4 + 2) as n + y*q**2 + x*q and give n.
0
Express 25*m - 79*m + 29*m + 25*m - 670*m**2 as o*m**2 + g*m + b and give o.
-670
Rearrange -5*i**3 - 13*i**2 + 11 + 2*i + 6*i - 7*i - 9 to x*i + t*i**3 + r*i**2 + z and give r.
-13
Express (2*q - 3 + 3)*(-69 + 207 + 63)*(3*q + 0*q - q) in the form z*q + i*q**2 + r and give i.
804
Express (-3 + 3 - 5 + (-3 + 2 - 1)*(3 - 2 + 2) + 2 + 0 - 3)*(13*o + 13*o - o) in the form x + l*o and give l.
-300
Express 59580*w - 4 - 59580*w - 21*w**2 as s + u*w**2 + l*w and give s.
-4
Rearrange 104 + 28 + 27 + 31 - z**2 to the form g*z + a + n*z**2 and give n.
-1
Rearrange -7 + 6 - 17*o + 1 to the form z*o + m and give z.
-17
Rearrange -8*a + 65 + 3*a + a + 5*a + 1133 to d*a + k and give d.
1
Rearrange (0*r - 4*r + 6*r)*((-1 - 2 + 0)*(-2 + 3 + 0) - 59 + 88 + 134) to the form u + s*r and give s.
320
Rearrange -147472*u**3 - 2*u + 9*u**4 + 3*u**4 - 3 + 147470*u**3 to x + p*u**2 + i*u + q*u**4 + a*u**3 and give a.
-2
Rearrange 0*x + 39*x**2 - 48*x**2 + 0*x - 27*x**2 + 4*x**3 to t*x + z + w*x**3 + j*x**2 and give j.
-36
Rearrange (5*o**2 - 4*o**2 + 2*o**2)*(-13*o**2 + 3*o - 25*o**2 + 2 + 36*o**2) to the form p + h*o**2 + u*o**4 + i*o + m*o**3 and give h.
6
Express -2*z + z + 3*z + (0 + 0 + z)*(0 + 2 - 1) + 6*z - 2*z - 2*z + 7*z + 5*z + 48*z in the form d + m*z and give m.
65
Express 2*o**2 - 17453 + 2*o**3 + o + 17412 - 4*o**3 as v*o**3 + u*o + w + g*o**2 and give g.
2
Express (-3*k + 1 - 1)*(-2 + 4 - 3) - 5*k + 6*k + 13*k in the form n + y*k and give y.
17
Rearrange (-2*a + 2*a - 3*a)*(4*a**2 + 5*a**2 + 0*a**2) - 46 + 46 - 5*a**3 to the form z*a**3 + r + n*a + l*a**2 and give z.
-32
Rearrange 0*u**3 - 11123*u**2 + 0*u**3 + u**4 + 4*u + 11124*u**2 to the form w*u**2 + v*u**3 + k*u + y + h*u**4 and give h.
1
Express -5*p + 395 - 397 + 4*p as h*p + t and give h.
-1
Express 10*d**2 - d - 40*d**2 + 5 - 6 + 3 + 0*d as p*d**2 + t + w*d and give w.
-1
Rearrange -164*h + 75*h + 158*h**3 - 3*h**2 + 90*h to q*h**2 + r*h**3 + y + w*h and give w.
1
Rearrange (96*f + 108*f - 302*f)*(1 - 6 + 4)*(3 + 4 + 2) to g*f + b and give g.
882
Rearrange 1808*a - 30 + 30 - 2617*a to o*a + r and give r.
0
Rearrange -235 - 5*x + 297 - 5*x**2 + 2*x**2 to the form f*x**2 + d*x + g and give f.
-3
Rearrange 102*z**3 - 60*z**3 + 4*z - 3 - 2*z**2 - 70*z**3 to the form b + h*z**2 + a*z + m*z**3 and give a.
4
Rearrange -52*y + 38 + 6*y + 51*y to l + a*y and give a.
5
Rearrange -12*g - 14*g - g**3 + 12*g to the form n + j*g**3 + q*g + t*g**2 and give j.
-1
Rearrange 2984*y + 1822*y**2 - 2984*y to the form c*y**2 + n + s*y and give c.
1822
Express (-5 + 2 + 4)*(-1 - 3 + 6)*(5 - 1 + 22)*((4*u**2 + 0*u**2 - 5*u**2)*(4 - 5 + 0) + 3*u + 2*u**2 - 3*u) in the form w*u + q + f*u**2 and give f.
156
Rearrange 12*w - 12*w + 2*w - 3*w + 2636 + (-2*w - 3*w + 3*w)*(0 - 2 + 0) + w - 1 + 1 - 2*w + 2*w - 2*w to h + j*w and give j.
2
Rearrange -7*j**2 + 8*j**2 - 9*j + 25*j - 41*j**3 - 14*j + 126*j**3 to f*j + b*j**3 + s + k*j**2 and give b.
85
Express -2*h**2 - 3*h - 29*h**2 + 2*h - 21*h**2 in the form j*h**2 + q*h + k and give j.
-52
Rearrange (4 + 0 - 7)*(-3*l - 8*l - 7 + 14*l) to the form d + p*l and give d.
21
Rearrange 40147 - 40147 + 688*w to the form h + c*w and give c.
688
Express 743 - 743 + 214*u + u + 0*u + u + (1 - 2 + 2)*(-3*u + 0*u + 4*u) as w + t*u and give t.
217
Express 245*d**2 - 537*d**2 + 238*d**2 as i*d + m + t*d**2 and give t.
-54
Express (-4*x**2 - 2*x**2 - x**2)*(-5*x + 2*x + x) + 8*x**3 - 4*x**3 - 11*x**3 as d*x**3 + n + y*x**2 + i*x and give d.
7
Express (-1 + 1 + a**2)*(0*a + 0*a + 2*a) + 3756*a**3 + 3763*a**3 - 7515*a**3 + 55*a in the form h*a**2 + d + i*a + u*a**3 and give u.
6
Rearrange 18*o + 102*o + 252*o to v*o + x and give v.
372
Express 5894 - 5893 - 237*v - 89*v as o + j*v and give o.
1
Express (12*f - 18*f + 9*f)*(-5 + 0 + 2) + (2*f + f - f)*(5 - 6 + 4) as m + u*f and give u.
-3
Express 2*f - 2*f + 2062 - 2063 - 7*f**2 - 9*f**3 in the form j*f**3 + a*f + b*f**2 + g and give b.
-7
Rearrange (-18 + 0 + 3991*l - 3998*l)*(3 - 2 - 3) to the form a + h*l and give h.
14
Rearrange -25*i + 3 + 75*i - 97*i - 3 to the form n*i + y and give y.
0
Express -2*x**2 - 4*x* | {
"pile_set_name": "DM Mathematics"
} |
e -4 - (0/(-3) + 81). Let i = 85 + m. Solve i = -2*h + 4*h for h.
0
Let d be (-55)/110*(0 - 2*5). Suppose 2*m = -3*s + 17 + 24, 5*m = 4*s + 68. Let g be m/d - (-8)/(-40). Solve -12 - 3 = g*q for q.
-5
Let g = -6 - -16. Let k = -20 + 10. Let x = g + k. Solve x = -0*t + t + 1 for t.
-1
Let d(q) = -q**2 + 34*q - 115. Let p be d(30). Solve 16*n = p*n - 11 for n.
-1
Let u = -170 - -172. Solve 0 = u*l + 5 - 15 for l.
5
Suppose 2*z + 5*i - 9 = 0, -2*z + 5*z - 10 = -4*i. Let r = -108 - -110. Solve -3*k + r*k = z for k.
-2
Suppose 0 = 2*t - 5*g, -5*t + 18 = g - 9. Let n = 5393 - 5390. Solve n = -t*q + 2*q for q.
-1
Let n(m) = m**2 - 9*m + 20. Let q be n(4). Solve q = -3*l + 18 - 6 for l.
4
Let f = -14 + 33. Let z = f - 12. Suppose 5*m = z + 8. Solve 0 = 4*a - m*a - 5 for a.
5
Let b be (-11 + 868/77)*(12 - 1)/1. Suppose 0 = 4*w - 3*w - 6. Solve -3 = b*m + w for m.
-3
Let k(x) = 3*x**2 + 29*x + 22. Let a be k(-10). Solve a = -10*p + 2 for p.
-3
Suppose 0 = -0*p + 6*p - 438. Suppose 0 = 78*h - p*h. Solve h = 3*q - 4*q for q.
0
Suppose -o - 12 = -13*o. Solve 0 = 2*y + o + 3 for y.
-2
Let q(k) = 2*k**3 + 9*k**2 - 6*k - 5. Let l(d) = d**3 + 6*d**2 - 7*d - 5. Let w be l(-7). Let t be q(w). Solve t = -b - 2 - 2 for b.
-4
Let m(x) = -2*x**2 + 10*x + 3. Let k be m(5). Suppose -1 = -k*v + 8. Solve -3*l - 6 = -v for l.
-1
Suppose 4*z - 39 = 2*z - 5*u, 4*u = -z + 24. Suppose -i - 4*n = -9 - z, 5*n = 2*i - 68. Let c = 33 - i. Solve -a + c = -0*a for a.
4
Let s(v) = -v**3 - 6*v**2 - 3*v + 14. Let b be s(-5). Suppose 2*y = -y + 3*x - 6, 18 = y + 4*x. Solve b = -n + y*n for n.
4
Let t = 9 + -8. Suppose -2*u = -5 + t. Suppose u*o - 3 - 3 = 0. Solve -6*y = -o*y for y.
0
Let n be -1*(-5)/((-10)/(-6)). Suppose 3 - 13 = -5*v, 109 = n*o + 5*v. Solve 0 = -5*h + o - 8 for h.
5
Let o be (-9)/21 - 140/(-98). Solve 5 = -u + o for u.
-4
Let r = -4 + 4. Suppose r = -4*k - 5*q - 0 - 1, q - 3 = -4*k. Solve 3 = 4*a - k for a.
1
Let u = -164 - -177. Solve u*p + 24 = 5*p for p.
-3
Let t = -18 + 50. Let k be (-8)/t + 42/8. Let s be (0/(2 + -4))/(-2). Solve s = -0*d + k*d for d.
0
Suppose -6 + 12 = 2*d. Let w be 18/d*2/6. Solve -w - 1 = 3*f for f.
-1
Suppose w + 2*w - 9 = -3*l, -w + 3 = -l. Suppose 0*v = -w*v + 4*s + 27, 0 = -3*v + s + 18. Let x(p) = p + 5. Let h be x(-3). Solve 7 - h = v*m for m.
1
Let i be 5/(((-30)/48)/(12/(-16))). Solve 0 = i*u + 15 - 3 for u.
-2
Suppose d - 5 = -0*d. Suppose 3*w + 25 = 4*c, 11*w - 14 = -5*c + 9*w. Solve -d + c = b for b.
-1
Let j(i) = i**2 - 4*i + 4. Suppose -4*o = -z - 3*z - 32, 4 = 3*o + 2*z. Let k be j(o). Suppose 0 = -u + 2*t + 9, -t - 7 - 8 = -k*u. Solve 7*d - u*d = -12 for d.
-3
Let i be ((-21)/6 + 2)*(-12)/9. Suppose 4*z - 19 = -3*b, -i*b = -2*z - 3*b + 9. Solve 0 = z*m - 6*m for m.
0
Let d(a) = -a - a**2 + 11*a - 2*a - 9. Let k be d(6). Let t = k - 3. Solve p - 2*p = t for p.
0
Let w(f) = -4*f**3 - 2*f**2 - 3*f - 3. Let r(t) = -t**3 + t**2 + t. Let x(c) = 5*r(c) - w(c). Let o be x(8). Solve o = 6*k - 3*k for k.
1
Suppose -2*g = 4*i - 2, -2*i + 20 + 11 = -5*g. Let a be (-7 - -3) + 1 + i. Solve a = 2*l + 4 + 2 for l.
-3
Let v = -108 - -133. Solve 22*n = v*n for n.
0
Let r(l) = 2*l - 8. Let o be r(5). Suppose -5*j - 5*a + 30 = 0, o*a + 11 - 3 = 3*j. Suppose 9*n - j*n - 50 = 0. Solve -3*i = -n - 5 for i.
5
Let o = 2611 + -2611. Let j(b) = b**2 - b - 5. Let x be j(-4). Solve -3*i - x = -o*i for i.
-5
Let r be (-1 + 11*4/20)*-25. Let g = 46 + r. Solve -2*n + g = -6*n for n.
-4
Suppose 165 = 3*p - 3*k, -5*p + k + 221 = -50. Solve 3*h = -p + 39 for h.
-5
Suppose -4*o + 4*u = -20, 7*o = 5*o - 3*u + 15. Solve 2*x + o*x - 16 = 0 for x.
2
Suppose -i = -3*w + 12, -3*w + w = 5*i - 8. Suppose -y - 102 = -w*y. Suppose -4*p + y = -2*b, -p - 4*p = -b - 38. Solve -2*l = -p*l - 5 for l.
-1
Let c(j) be the first derivative of j**2 + 6*j - 3. Let p be c(0). Solve p = -a - a for a.
-3
Let w(x) = 5*x**3 - 3*x**2 + 7*x - 1. Let i(k) = 6*k**3 - 3*k**2 + 8*k - 2. Let o(a) = -6*i(a) + 7*w(a). Let v be o(-3). Solve -6*z + 10 = -v for z.
2
Suppose 3*o = 2*m - 1, -o - o - 6 = 0. Let h(k) = k**2 - k - 5. Let p be h(m). Suppose -2*n + p = 7. Solve v - 1 = -n for v.
-3
Let y(f) = -3*f - 20. Let u be y(-8). Let c(t) = 7*t + u + 2*t**2 + 8*t - 6*t. Let a be c(-4). Solve a = d - 3 for d.
3
Let q(u) = -u**2 + 7*u. Suppose k - 21 = -3*y, 5*k = -2*y - 0*y + 14. Let d be q(y). Suppose 0*c - 2*c + 8 = d. Solve 0 = 5*a + 9 - c for a.
-1
Suppose 30*l - 12 = 24*l. Solve 0 = l*n - 134 + 130 for n.
2
Let r(v) = -3*v**3 + 80*v**2 + 28*v - 23. Let n be r(27). Solve -2 + n = -2*l for l.
-1
Suppose -2*y - 3*t + 9 = 2, 5*y - 52 = 4*t. Solve -5*l - 3 = -y*l for l.
1
Let c(z) be the third derivative of -z**5/60 - 10*z**2. Let t be c(0). Solve -5*y - 25 = -t*y for y.
-5
Let r = -534 + 538. Solve -10*k + 42 = r*k for k.
3
Suppose -3*o - 2*o = 40. Let u(s) = -s**3 + s**2 + 5*s + 2. Let r be u(-2). Let v be 6/r*o/(-6). Solve 0 = i - v + 5 for i.
-3
Let k be 3/(((-3)/(-1))/3). Suppose 3*m = -y - k*y - 11, 0 = -4*m + y + 17. Solve 3*u + m = -3 for u.
-2
Suppose -515*b = -485*b - 330. Solve -6*m = -17*m + b for m.
1
Suppose 3*z - 2*u - 90 = 0, 4*z - 3*u - 118 - 2 = 0. Solve z*y - 22*y = -24 for y.
-3
Suppose 7*t + 7 = 8*t. Suppose 0 = -7*m + t. Suppose -w - m = -5. Solve -h + 15 = w*h for h.
3
Let p be -1*(7 + -6)*-11. Solve -p*r - 18 = 7*r for r.
-1
Let q(t) = t**3 + t**2 + t + 10. Let p be q(0). Suppose u - 6 = 4. Suppose -5*o + u = -p. Solve y + 20 = -o*y for y.
-4
Suppose 5*w + 83 = w - 3*j, -72 = 3*w - j. Let f = -23 - w. Solve 0 = -4*d - f*d for d.
0
Suppose 23*n = 2*w + 24*n - 8, 0 = w + 4*n - 4. Solve -w*u = -8 - 4 for u.
3
Let w(c) = 4*c + 43. Let n be w(-11). Let d be (0 + 1)/((-3)/9*n). Let a(h) = 8*h - 1. Let k be a(1). Solve -d*x - 2 = k for x.
-3
Suppose -o + 14 = -u, -4*o + 28 - 7 = 3*u. Solve -66 = o*v + 13*v for v.
-3
Let r(u) = 16 - 4*u - 2 + 5*u. Let x be r(-8). Let q be 3/x - 36/(-8). Solve -4 = -j + q*j for j.
-1
Suppose 2*q = k, 3*q = q - 2*k + 12. Suppose -5 = 3*o - 17. Solve -q*u = -o*u + 6 for u.
3
Let i = 20 - 17. Suppose i*w + 72 = -0*w. Let n be (-4)/w - (-23)/6. Solve -15 - 5 = -n*b for b.
5
Let p(f) be the second derivative of f**4/4 - 5*f**3/6 - f**2 + 11*f. Let r be p(-2). Solve 0*g + r = 5*g for g.
4
Let d(l) = 2*l**3 - 27*l**2 - 8*l - 84. Let z be d(14). Suppose 2 = -5*u + k - 0, 3*k = u + 6. Solve z = 3*h - u*h - 12 for h.
4
Let r be ((-338)/65)/((-4)/10). Suppose -17 - 4 = 2*c - 5*q, -4*c - q + r = 0. Solve 5*d + 3 = -c for d.
-1
Let i(s) be the third derivative of -s**5/60 + s**4/24 + 3*s**3/2 - 70*s**2. Suppose f - 2 = 3*o - 5*o, 8 = -5*o + 4*f. Let q be i(o). Solve -q + 1 = 4*h for h.
-2
Suppose 98 = 4*o - 2*p, 0 = -5*o + 4*p - 94 + 224. Solve -o = 6*m + 2 for m.
-4
Let q be 8 - -10*2/(-4). Solve -q*c = 4*c - 35 for c.
5
Let q be ((-105)/(-6))/(2*(-2)/(-16)). Suppose h - 1 = -4*f + 18, -q = -5*h + 5*f. Solve h = -n + 4*n for n.
5
Suppose u = -2*h - 6, u - 5*u + 3*h = 13. Let i be (-3)/(u + 148/40). Suppose 0*q + 12 = 3*q. Solve -a + i = q*a for a.
2
Suppose -5*q + 15 = -75. Let g be 264/q + 2/(-3). Let c = g + -13. Solve 0*f = -f - c for f.
-1
Suppose 2*v = v - 2*m + 6, 0 = 2*v + m. Let r(g) = -6*g - 5. Let a be r(v). Solve -a*p = -6*p for p.
0
Let i = -96 + 96. Suppose i*d + 13 = 2*j + 3*d, 12 = 3*j + 2*d. Solve 0*q = j*q for q.
0
Suppose -9*i - 226 = -307. Solve 19*z - i = 16*z for z.
3
Suppose 2*b = 2*w + 2, 0 = -35*w + 36*w - 4*b + 16. Suppose 3*i - 70 = i + 4*s, -2*i + 30 = 4*s. Solve n = -w*n + i for n.
5
Let n(z) = z**3 - 3*z**2 - 8*z - 10. Let x(q) = -q**3 + 6*q**2 - 2*q - 10. Let k be x(5). Let y be n(k). Solve y = -2*m + 13 - 5 for m.
4
Suppose 6*j = 29 - 5. Suppose -2*v + 48 = 4*b, 0 = -3*b + 5*v - 0*v + 10. Solve f + j*f = -b for f.
-2
Suppose 200 = 77*i - 69*i. Solve -i*v = -21*v + 16 for v.
-4
Let h = -39 + 31. Let m = h - -11. Solve -15 = -4*i - m for i.
3
Suppose 62 = 6*r - 5*k + 31, 0 = r + 5*k - 11. Let b be (-2 + 2)/(0 + -2). Let z = 30 + -16. Solve -5*p - r - z = b for p.
-4
Let t = 224 + -221. Solve t*l = -5 + 17 for l.
4
Let t(s) be the second derivative of s**4/12 + 2*s**3/3 + s**2 - 6*s. Let x be t(-4). Solve -x*k - 4 = -3*k for k.
4
Suppose -3*m + 4 = -2*t, -m + 3*t = 3 - 2. Suppose -m*l - 2*l = 3*r - 5, 5*r = l - 7. Let k be l/(6*(-1 | {
"pile_set_name": "DM Mathematics"
} |
w many minutes are there between 10:46 AM and 8:30 PM?
584
What is 660 minutes before 2:50 PM?
3:50 AM
How many minutes are there between 1:33 PM and 8:59 PM?
446
What is 597 minutes after 9:00 PM?
6:57 AM
What is 341 minutes before 11:59 AM?
6:18 AM
What is 130 minutes before 12:36 AM?
10:26 PM
What is 456 minutes after 8:24 AM?
4:00 PM
What is 54 minutes after 4:11 AM?
5:05 AM
How many minutes are there between 2:03 PM and 3:35 PM?
92
How many minutes are there between 4:48 AM and 12:12 PM?
444
What is 254 minutes after 5:00 PM?
9:14 PM
What is 553 minutes before 4:53 AM?
7:40 PM
What is 617 minutes after 1:57 PM?
12:14 AM
How many minutes are there between 4:35 PM and 2:42 AM?
607
What is 572 minutes after 10:20 PM?
7:52 AM
How many minutes are there between 3:49 AM and 5:50 AM?
121
What is 253 minutes before 7:21 PM?
3:08 PM
What is 355 minutes before 4:06 AM?
10:11 PM
How many minutes are there between 2:50 AM and 2:33 PM?
703
What is 404 minutes after 6:06 PM?
12:50 AM
What is 410 minutes before 12:48 PM?
5:58 AM
How many minutes are there between 10:35 PM and 4:16 AM?
341
How many minutes are there between 2:21 PM and 9:24 PM?
423
What is 246 minutes after 7:34 AM?
11:40 AM
How many minutes are there between 12:27 PM and 12:26 AM?
719
How many minutes are there between 5:23 PM and 3:08 AM?
585
What is 274 minutes before 11:32 AM?
6:58 AM
How many minutes are there between 10:04 AM and 3:06 PM?
302
How many minutes are there between 10:18 PM and 8:29 AM?
611
What is 49 minutes before 8:05 AM?
7:16 AM
How many minutes are there between 7:22 PM and 6:53 AM?
691
What is 657 minutes after 8:52 AM?
7:49 PM
What is 405 minutes after 6:26 PM?
1:11 AM
What is 237 minutes after 6:22 PM?
10:19 PM
How many minutes are there between 6:49 AM and 1:34 PM?
405
What is 710 minutes before 1:22 PM?
1:32 AM
What is 657 minutes before 2:33 PM?
3:36 AM
What is 665 minutes before 3:55 AM?
4:50 PM
How many minutes are there between 5:36 AM and 7:07 AM?
91
How many minutes are there between 6:28 PM and 1:18 AM?
410
How many minutes are there between 1:55 PM and 5:53 PM?
238
What is 391 minutes before 2:05 PM?
7:34 AM
How many minutes are there between 11:33 AM and 9:42 PM?
609
How many minutes are there between 6:42 PM and 4:02 AM?
560
What is 591 minutes before 9:43 PM?
11:52 AM
What is 195 minutes before 12:10 AM?
8:55 PM
How many minutes are there between 6:32 PM and 4:16 AM?
584
How many minutes are there between 7:17 PM and 4:23 AM?
546
What is 67 minutes before 9:23 AM?
8:16 AM
How many minutes are there between 8:21 PM and 9:03 PM?
42
What is 320 minutes before 4:24 AM?
11:04 PM
How many minutes are there between 6:47 PM and 1:51 AM?
424
How many minutes are there between 12:47 AM and 10:59 AM?
612
How many minutes are there between 5:39 AM and 11:02 AM?
323
What is 428 minutes before 6:47 PM?
11:39 AM
What is 558 minutes before 5:13 PM?
7:55 AM
How many minutes are there between 4:15 PM and 5:09 PM?
54
How many minutes are there between 11:04 PM and 5:30 AM?
386
How many minutes are there between 5:37 AM and 3:53 PM?
616
What is 652 minutes before 7:16 PM?
8:24 AM
How many minutes are there between 9:05 AM and 6:37 PM?
572
What is 274 minutes after 8:28 AM?
1:02 PM
How many minutes are there between 4:05 PM and 2:36 AM?
631
What is 10 minutes before 9:15 PM?
9:05 PM
What is 504 minutes after 3:25 AM?
11:49 AM
What is 293 minutes after 7:49 PM?
12:42 AM
How many minutes are there between 9:34 AM and 6:52 PM?
558
How many minutes are there between 9:10 AM and 1:06 PM?
236
What is 155 minutes before 9:19 AM?
6:44 AM
What is 254 minutes after 6:37 AM?
10:51 AM
How many minutes are there between 11:57 AM and 4:55 PM?
298
How many minutes are there between 11:50 PM and 7:51 AM?
481
What is 539 minutes after 3:25 AM?
12:24 PM
How many minutes are there between 5:16 PM and 6:05 PM?
49
How many minutes are there between 9:50 PM and 8:47 AM?
657
What is 612 minutes before 7:03 PM?
8:51 AM
How many minutes are there between 2:08 AM and 10:48 AM?
520
What is 69 minutes after 1:26 PM?
2:35 PM
How many minutes are there between 1:24 AM and 11:21 AM?
597
What is 689 minutes after 1:34 PM?
1:03 AM
What is 141 minutes after 5:28 AM?
7:49 AM
How many minutes are there between 3:37 AM and 8:57 AM?
320
How many minutes are there between 9:04 AM and 1:50 PM?
286
How many minutes are there between 4:10 PM and 6:32 PM?
142
How many minutes are there between 4:47 AM and 5:07 AM?
20
What is 39 minutes before 11:40 PM?
11:01 PM
What is 101 minutes before 1:34 AM?
11:53 PM
How many minutes are there between 4:59 PM and 2:27 AM?
568
How many minutes are there between 3:12 PM and 4:12 PM?
60
What is 202 minutes before 11:21 PM?
7:59 PM
How many minutes are there between 4:59 PM and 10:43 PM?
344
What is 144 minutes after 5:16 PM?
7:40 PM
How many minutes are there between 4:58 AM and 2:07 PM?
549
How many minutes are there between 8:42 AM and 1:25 PM?
283
How many minutes are there between 8:24 AM and 9:24 AM?
60
What is 665 minutes after 12:18 AM?
11:23 AM
How many minutes are there between 12:45 PM and 8:39 PM?
474
What is 165 minutes before 4:30 AM?
1:45 AM
What is 25 minutes before 11:51 PM?
11:26 PM
What is 419 minutes after 5:33 PM?
12:32 AM
How many minutes are there between 7:52 PM and 10:57 PM?
185
What is 546 minutes after 3:35 PM?
12:41 AM
What is 305 minutes before 9:09 PM?
4:04 PM
How many minutes are there between 11:33 PM and 12:06 AM?
33
What is 331 minutes after 7:14 PM?
12:45 AM
How many minutes are there between 3:11 AM and 4:04 AM?
53
How many minutes are there between 1:57 AM and 6:36 AM?
279
How many minutes are there between 4:33 AM and 5:00 AM?
27
What is 360 minutes after 8:01 AM?
2:01 PM
How many minutes are there between 7:26 PM and 12:47 AM?
321
What is 589 minutes before 10:06 PM?
12:17 PM
What is 373 minutes before 5:23 PM?
11:10 AM
How many minutes are there between 8:40 PM and 9:40 PM?
60
How many minutes are there between 12:51 PM and 7:55 PM?
424
What is 331 minutes before 7:41 PM?
2:10 PM
What is 492 minutes after 10:22 AM?
6:34 PM
How many minutes are there between 12:21 AM and 10:12 AM?
591
What is 682 minutes after 2:09 PM?
1:31 AM
How many minutes are there between 11:57 AM and 8:13 PM?
496
What is 185 minutes before 8:13 AM?
5:08 AM
What is 167 minutes before 8:38 PM?
5:51 PM
What is 492 minutes before 8:31 PM?
12:19 PM
How many minutes are there between 12:09 AM and 10:01 AM?
592
What is 652 minutes before 1:36 PM?
2:44 AM
What is 153 minutes after 8:04 AM?
10:37 AM
How many minutes are there between 1:37 PM and 2:17 PM?
40
What is 52 minutes after 10:18 AM?
11:10 AM
How many minutes are there between 11:08 PM and 4:23 AM?
315
How many minutes are there between 1:15 PM and 10:43 PM?
568
What is 586 minutes after 11:30 PM?
9:16 AM
What is 453 minutes after 3:12 PM?
10:45 PM
How many minutes are there between 9:06 AM and 2:11 PM?
305
How many minutes are there between 5:15 AM and 1:38 PM?
503
What is 504 minutes after 10:36 AM?
7:00 PM
What is 59 minutes after 2:08 AM?
3:07 AM
How many minutes are there between 9:13 PM and 8:13 AM?
660
What is 53 minutes after 11:11 PM?
12:04 AM
What is 354 minutes before 7:42 AM?
1:48 AM
What is 647 minutes after 1:09 AM?
11:56 AM
What is 77 minutes before 8:24 PM?
7:07 PM
How many minutes are there between 4:43 AM and 4:27 PM?
704
How many minutes are there between 12:10 PM and 12:29 PM?
19
How many minutes are there between 1:23 AM and 4:24 AM?
181
What is 507 minutes after 12:47 AM?
9:14 AM
What is 552 minutes before 10:29 PM?
1:17 PM
How many minutes are there between 4:03 PM and 6:58 PM?
175
How many minutes are there between 12:23 AM and 9:22 AM?
539
How many minutes are there between 8:03 AM and 5:58 PM?
595
What is 254 minutes before 3:34 PM?
11:20 AM
How many minutes are there between 10:47 AM and 8:19 PM?
572
How many minutes are there between 11:22 AM and 2:46 PM?
204
How many minutes are there between 7:27 AM and 8:23 AM?
56
How many minutes are there between 12:01 PM and 8:09 PM?
488
What is 454 minutes before 12:41 PM?
5:07 AM
How many minutes are there between 11:46 AM and 7:28 PM?
462
What is 155 minutes after 11:18 AM?
1:53 PM
How many minutes are there between 5:55 PM and 9:12 PM?
197
H | {
"pile_set_name": "DM Mathematics"
} |
ve -2*h + 3*g = 5, f*h = 3*g + 3 + 2 for h.
5
Suppose 0 = z - 11 + 8. Let f = -19 + 35. Let n be f/7 - (-2)/(-7). Solve p - 1 = z*a, 3*p + 10 = -2*a - n*a for p.
-2
Let t = -14 - -8. Let n(o) = o**2 + 5*o + 3. Let f be n(t). Solve -2*p - p = 3*z + f, 5*z + 7 = -3*p for p.
-4
Suppose -3*q = 5*w - 7*q - 70, -2*w - 2*q + 10 = 0. Suppose -w = -l + 4. Solve -4*f + 3*c - 1 = -6, 5*c + l = f for f.
-1
Let j be 2/(-10) - (-126)/30. Let b be 4/6 - (-21)/9. Solve -2*n = -j*a - 22, -2*n - 1 = -b for a.
-5
Let d = 1 - -12. Solve 4*w + 5*l = 30, -2*w - 4*l = -w - d for w.
5
Suppose 2*h - 1 = -0*d + 3*d, -2*d - 6 = 0. Let m be h/(-8) + 1/2. Let f be (-6 + 4)/(m*-1). Solve f*p + 2*o - 9 = o, 3*p + 6 = 5*o for p.
3
Suppose -5*k + 2*k = -4*a - 3, 0 = 4*k + 2*a - 26. Solve 0 = k*g + 5*n - 5, -4 = 3*g - 6*n + 2*n for g.
0
Let w(f) = f - 1. Let h be w(2). Let r = -48 + 33. Let i be 2/3*(-3 - r). Solve -h = -m + v, 2*m - 3*v + 5 = i for m.
0
Let o(w) = 5*w**3 - 2*w + 2. Let d be o(1). Solve 14 - 5 = 4*g + d*n, -5 = -5*n for g.
1
Suppose -2*m - 4*m + 24 = 0. Solve t = -t - 3*v - 12, 4*v + 16 = m*t for t.
0
Let d(b) = -b**3 + 4*b**2 - 3*b + 1. Let f be d(3). Suppose -f + 2 = -i. Let o = i + 2. Solve -5*u + o = -3*w - 6, 0 = 2*w + 8 for u.
-1
Suppose 0 - 10 = -2*d. Suppose d*l = 3*l. Solve 3*t - 9 = -4*i, 4*i = -t - l*t + 11 for i.
3
Suppose -18*m + m + 85 = 0. Solve -20 = 2*t + 3*j - 7, -j = m for t.
1
Let n = -18 + 21. Suppose -1 = -3*v + 2. Let b be (3 + -1)/v + 0. Solve 0 = b*q - 2*d, -4*q - n*d - 4 = 10 for q.
-2
Let b(f) = -f**3 - 3*f**2 - f - 1. Let o be b(-3). Solve 2*u + 18 = 2*d + o*d, 0 = d - 2*u - 9 for d.
3
Let v be 4*(-3)/(-9)*9. Suppose 34 = 2*m - 5*y + 3, 3*y + v = -m. Solve 0 = -2*k - r + 2, 3*r = -m*k - 0*k for k.
2
Let l = 30 + -23. Let w(f) = f - 3. Let x be w(l). Solve 4*s - y = 1, -x*y - 4 = s - 0*s for s.
0
Let a be (-32)/56*(-14)/4. Solve -3*d + 3*b - 6*b + 24 = 0, -d - a*b + 11 = 0 for d.
5
Let r = 54 + -38. Suppose u + 2*i - 10 = 0, 37 = 2*u + 2*u + 5*i. Suppose -u = 2*b - 4*b. Solve 5*y - 2*s - s = 37, -r = b*s for y.
5
Let s be (87/(-9) + 3)*3. Let t = -17 - s. Solve -4*h - t = -u, -4*u = -6*u + 5*h + 3 for u.
-1
Let c be -1*((-12)/2 - 2). Let m = c + -5. Solve o - 19 = -m*o - 5*g, -2*o - g + 5 = 0 for o.
1
Suppose 0 = -4*s - 2*a - 52, 2*a + 3*a + 75 = -5*s. Let p be (-2)/6*(s - -5). Solve 5*r - 9 = -p*z, -2*r + 5*z = -0*z + 8 for r.
1
Suppose 0*d - 2*d = -6. Solve -4*y = 5*a + 41, -3*y + y - 23 = d*a for y.
-4
Let q(b) = -b**2 + 6*b - 10. Let u be q(4). Let s(k) = 0 + k - 1 + 2 + k**2. Let x be s(u). Solve -x*p - 5*j - 37 = 0, -5*p = 3*j + 37 - 2 for p.
-4
Let o(n) = n**3 + 6*n**2 - 9*n - 4. Let u = 17 + -24. Let q be o(u). Let t = q - 0. Solve 4*x - 2*m = t - 0, 3*m + 7 = 2*x for x.
2
Let c = -128 + 128. Solve -2*x + 4*n = -13 + 1, -5*x + 2*n + 14 = c for x.
2
Let k be (-16)/40*(0 + -40). Solve m - 12 = 6*m - 3*a, -5*m - a = k for m.
-3
Let d(x) = x + 4. Let j be d(-4). Suppose 2*b = 6*b - 28. Solve 0 = -5*s + 3*o + 18, j = -3*s + 3*o - b*o + 5 for s.
3
Let m(b) = 3*b + 26*b**2 + 20*b**2 - 3 - 45*b**2 + 1. Let p be m(-4). Solve -p*a + 4*v - 8 = 2*a, 8 = -4*a + v for a.
-2
Suppose 5*v + 2*m - 17 = 6, 5*v = 4*m - 1. Let z be (v - (-21)/6)*2. Solve 2*t - z = 7*t - 2*x, -4*t + x - 8 = 0 for t.
-1
Suppose 0*m - m + 4 = 0. Let r(z) = -z**3 + 3*z**2 + 5*z. Let f be r(m). Solve -2*c - 4 = 2*c + y, -f*y = 3*c + 16 for c.
0
Let f be 2/8 - 1/4. Suppose 5*c - 3*y - 42 = 0, -4*y + 40 = 5*c - c. Let n be c/6*8/6. Solve -2*s + 3*o - n = 4, -5*s + 5*o - 15 = f for s.
-3
Suppose 12 = -4*d - 4*k, -3*d + 3*k - 7 = 4*k. Let n(q) = 2*q**2 + 3*q + 1. Let t be n(d). Solve -2*x + 5 = -2*i - 7, t*x - 9 = 0 for i.
-3
Let i be (2 - 4)/((-4)/(-22)). Let x = -7 - i. Let p be 18/10 + (-2)/(-10). Solve -6*q + 2*q - 5*l - 10 = 0, p*l + x = -4*q for q.
0
Let o = 99 + -99. Solve -2*x - 8 = -k, o*k + 7 = 5*k + x for k.
2
Let y = -6 - -7. Let n be -2 - (-2 + (3 - y)). Let p be (-8)/(-6)*(1 - n). Solve 0 = c - u, -p + 1 = c - 4*u for c.
1
Suppose 3*c - 24 = -4*f, -3*c - 2*c - 5*f = -35. Solve -l = -3*w + 17, -10 = -c*w - 5*l - 0*l for w.
5
Let n be 2/(-7) - (-80)/35. Solve -5*u - 15 = -n*i, -3*i + 0 + 6 = -2*u for u.
-3
Let h = -28 - -31. Solve 4*a - 3*o - 20 = 0, a - o = -h*o + 5 for a.
5
Suppose 5*k + s = -17 - 9, 4*s = 2*k + 6. Let u be (-2)/k*(5 - 0). Suppose -3*n + 100 = n. Solve -4*q - u = 3*m - 1, -5*m - n = -5*q for m.
-3
Suppose 4*n + n = 10. Suppose -3*x - n*x + 20 = 0. Suppose a = -5, -2*k + 7*k = x*a + 45. Solve -11 = h - 3*m, k*m + 5 = -3*h - 0*m for h.
-5
Let x = 77 - 60. Solve -7 - x = 4*i + 4*h, 3*i + 2*h = -16 for i.
-4
Let a = 13 + -10. Solve a*b - 2*m - 2 = -b, 3*b + 6 = -m for b.
-1
Let x be 3/(1/(3/(-3))). Let s be (-2)/6 + (-61)/x. Solve -n + 3*n + 8 = 2*j, 0 = 5*j - s for n.
0
Let t be 3*(-96)/(1 - 5). Let k be (t/(-2 - 2))/(-1). Solve o - 2*h = 2*h + k, 5*h + 25 = 0 for o.
-2
Let z = -7 - -17. Suppose o = 4*m + 24 - 9, -o = 3*m - 1. Let p(i) = i**3 - 8*i**2 + 8*i - 2. Let g be p(o). Solve d = u - 2 + z, -3*d - g*u = 16 for d.
3
Let x(h) = h**2 - 2. Let i be x(2). Let v(z) = z**3 - 8*z**2 - 9*z + 3. Let t be v(9). Solve -t*j + i*o + 1 = 0, -2*o - 32 = 5*j - 7 for j.
-3
Let g be ((-4)/3)/((-2)/3). Let r = -171 + 177. Solve -b - r = g*d - d, d = -2*b - 8 for d.
-4
Let k(j) = j**2 + j + 5. Let n be k(0). Let z(f) = f**2 + 7*f - 4. Suppose 19 = 5*p + 59. Let w be z(p). Solve -i + w*s + 7 = 2, n*i - 5*s = -5 for i.
-3
Let s be (40/35)/(-4) + 142/7. Solve -20 = 5*y - 3*w + s, -3*y = 3*w for y.
-5
Suppose -5*a - 17 = -0*o + 2*o, 4*a = 3*o - 32. Solve -g - 10 = 4*g + 5*x, 3*g - 29 = o*x for g.
3
Let d(o) be the first derivative of o**2/2 + 7*o + 3. Let h be d(7). Solve -5*s = a + a + 20, h = -4*a + 3*s for a.
-5
Let n(i) = i**2 + 4*i - 9. Let y be n(-7). Solve 7 - 1 = -4*c - 2*f, 3*c + 3*f = -y for c.
1
Suppose -2*t = 4*n + 30, -t - 2*t = 5*n + 40. Let u = -3 - n. Solve 4*k = -s + 5, 4*s - u*k = -k - 14 for s.
-3
Suppose -4*y - 3*u = 15, 3*y - u + 2 - 7 = 0. Solve y = 5*i + 5, -i = -8*t + 3*t + 6 for t.
1
Let y = -21 - -18. Let f be (12 + -10)*y/(-2). Solve 4*o = f*q + 12, -2*q - 15 = q - 5*o for q.
0
Suppose 20 = m + 4*m. Suppose -12 = -3*t - 2*s, 0 = 2*t - m*t - s + 8. Let x be 14/t + (-6)/12. Solve 12 = x*y + 5*h, -y = 4*y - 2*h - 20 for y.
4
Let r be (-2)/(-7) - 1476/(-126). Solve 2*n - q = 6*n + 6, 0 = -2*n + 4*q - r for n.
-2
Let u(s) = 14*s**2. Let g be u(2). Let q = -37 + g. Let j(z) = -z + 23. Let b be j(21). Solve -h = b*h + 2*i - q, -2*i = -5*h + 5 for h.
3
Let y be 18/5 - (-14)/35. Solve -i - y*l = -3 - 5, 2*l = -2*i + 4 for i.
0
Let q = 3 - 3. Solve q = 4*y - 4*a + 28, 0 = 5*y - 0*a - 3*a + 27 for y.
-3
Let n = -20 - -24. Solve -n*d = 3*v - 2 - 1, -4*v = -5*d + 27 for v.
-3
Let j(z) = -5*z. Let f be j(-5). Suppose -3*v = -3*q + 18, 0*v + 15 = 4*q - v. Solve -q*a + f = 5*s + 2*a, s = -4*a + 17 for s.
1
Let l(z) = 24*z + 1. Let f be 3/9*(2 - 5). Let w be l(f). Let q = 32 + w. Solve 5*m - 10 = t + 2*m, 3*t + 4*m = q for t.
-1
Let j(k) = -k + 16. Let l be j(12). Solve -q - 2 = -4*s, -l*q - 2*s + 7 = -3 for q.
2
Suppose 4*f + 10 = 6*f. Let c(p) = -p**2 + 7*p - 6. Let i be c(4). Let r(n) = -n + 6. Let s be r(3). Solve -s*d + d = -3*m + i, -5*d + f*m = 10 for d.
0
Suppose -q - 5*u + 24 = 0, 0 = 4*q + 2*u + 4 - 28. Solve 2*s + 29 = -5*o, 3*s + q*o + 11 = 3*o for s.
-2
Let j = 6 + -9. Let i be (2 + (-8 - j))*-1. Solve b = -x - i, 5*b - 1 = -3*x - 8 for x.
-4
Let i(f) = -f**2 - 4*f - 3. Suppose -2*t + 4 = -h, 6 - 5 = t. Let d be i(h). Solve -3*p = -2*r - 0 + 3, -p + r - d = 0 for p.
-1
Suppose 6*y = 3*y + 12. Suppose -3*p = -y*p + 2. Solve 3*r = 8*r + 3*t + 5, p*t = -10 for r.
2
Let y(d) be the first derivative of d**2/2 + d - 5. Let u be y(-1). Solve -11 = 3*s - u*r + 2*r, -r - 7 = 2*s for s.
-3
Suppose -3*l = 1 - 4. Suppose -2*d + 13 = 3*a, 0 = d - 2*a - l - 2. Solve w - 3*p + 7 = p, 5*w = d*p + 10 for w.
5
Let k = 3 + -3. Let l be (-25)/(1/(-1)) + k. Suppose -j = 4*q - l, 5*q - j = 2 + 18. Solve -11 = 2*v + w, -1 = q*v + 3*w + 29 for v.
-3
Let f = 28 - 23. Solve 0*p + p - 1 = o, 0 = -5*o - f for p.
0
Suppose z + 1 = -3*q, -z - q = -2*z + 3. Solve -t = z*x + 1, 0 = -2*x + x + 2 for t.
-5
Suppose -10 = -5*n - 0*n. Let s be (5/3 - n)*-24. Suppose -s = | {
"pile_set_name": "DM Mathematics"
} |
of 1072*s**3*z**2 - 522669*s**3 + 34*s**2*z**3 wrt z.
2144*s**3*z + 102*s**2*z**2
Find the third derivative of -4*o**6 - 2989*o**5 - o**3 + 8*o**2 - 6421 wrt o.
-480*o**3 - 179340*o**2 - 6
Differentiate -55481*j*l**3 - 4*j*x + 618930*l**3*x with respect to j.
-55481*l**3 - 4*x
Find the first derivative of -3194*m**3 - 3*m**2 + 53365 wrt m.
-9582*m**2 - 6*m
What is the derivative of -8227*w**2*y**3 - 63*w**2*y**2 - 472367*w**2 wrt y?
-24681*w**2*y**2 - 126*w**2*y
What is the second derivative of 13*c**2*w**2 + c**2*w + 107163*c*w**2 + 2*c*w - 188*c + 22*w - 3 wrt w?
26*c**2 + 214326*c
What is the derivative of 59733*d**2 - 1020760?
119466*d
What is the second derivative of -1015094*p**2 + 25*p - 12685?
-2030188
What is the second derivative of -65621*d*u**4 - 935*d*u - 44*d wrt u?
-787452*d*u**2
Find the second derivative of -1237*o**3*s**3 + 4*o**3*s**2 + 2*o**3 + 5762*o**2*s - 3*s**3 wrt s.
-7422*o**3*s + 8*o**3 - 18*s
Find the first derivative of 7*u**3 - 6*u**2 + 24042*u - 152505.
21*u**2 - 12*u + 24042
What is the second derivative of -5*b**2*f**3*p**2 - b**2*f + 302*b*f**3*p + 8*b*f**3 - b*p + 2619*f*p**2 wrt p?
-10*b**2*f**3 + 5238*f
Differentiate -2*n*w**3 - 14*n*w**2 - 389*n - 174471*w**3 + w wrt n.
-2*w**3 - 14*w**2 - 389
What is the second derivative of r**2*s**2 - 64*r**2*s + 2*r**2 + 16*r*s**3 - 3*r - 75*s**5 + 4*s - 4 wrt s?
2*r**2 + 96*r*s - 1500*s**3
Find the second derivative of 856928*m**2 - 4*m + 458.
1713856
Find the third derivative of -25*b**5 + 5*b**4 + 79*b**3 - 346791*b**2 wrt b.
-1500*b**2 + 120*b + 474
Find the third derivative of 173045*b**3*i - 2*b**2*i + 9*b*i + 20335*i - 1 wrt b.
1038270*i
What is the third derivative of -813637*l**3 + 26598*l**2?
-4881822
Find the third derivative of -31793*f*z**3 - 200633*f*z**2 wrt z.
-190758*f
Differentiate 19672*q*z**3 + q*z - 3*q + 145816*z**3 wrt q.
19672*z**3 + z - 3
Find the second derivative of 68*g**3 + 487*g**2 - 16773*g + 6.
408*g + 974
Find the second derivative of -495*i*k*s**3 - 12*i*k*s - 6*i*s - i - 2*k*s**3 + 4*k*s**2 + 11*k*s - 2*s wrt s.
-2970*i*k*s - 12*k*s + 8*k
What is the third derivative of 7*u**4 - 4371*u**3 + 5567*u**2 - 2 wrt u?
168*u - 26226
Find the second derivative of 32*c*r**3 - 4*c*r - 32*c + 1979*r**3 - 9*r - 9 wrt r.
192*c*r + 11874*r
What is the second derivative of -367809*z**2 + 96*z + 598 wrt z?
-735618
What is the first derivative of z**4 - 4*z**2 - 408*z - 12530 wrt z?
4*z**3 - 8*z - 408
Find the second derivative of 1922406*j**2*s**3*t**2 + 2*j**2*s*t**2 - 10*j*s**3*t + 9921*j*s**3 + 4*j*s**2*t**2 wrt j.
3844812*s**3*t**2 + 4*s*t**2
Find the second derivative of 4*i**3*n**2*w - 103*i**3*n*w - 7*i**3*n + 63*i**3*w + 36346*i*n**2*w wrt n.
8*i**3*w + 72692*i*w
Find the third derivative of 272857*h**3 - 1356450*h**2 wrt h.
1637142
Find the second derivative of -z**5 - 7865*z**4 - 3*z**2 - 613*z - 244.
-20*z**3 - 94380*z**2 - 6
Find the second derivative of -54*u**5 - 42*u**3 - 92963*u.
-1080*u**3 - 252*u
Find the third derivative of -191*d**5 - 182*d**4 - 2*d**3 - 6*d**2 + 29199 wrt d.
-11460*d**2 - 4368*d - 12
What is the second derivative of -20*b**4 + 3*b**3 - 13*b**2 - 806*b + 219?
-240*b**2 + 18*b - 26
What is the third derivative of -v**3*z**3 - 2*v**3 + 12*v**2 + 18*v*z**2 + 251132*z**4 + z - 2 wrt z?
-6*v**3 + 6027168*z
Find the first derivative of -5252882*g*n**2 - 4*n**2 + 4482*n - 4 wrt g.
-5252882*n**2
Differentiate 2*b*c*h**2 + 140*b*c + 23560*b - c*h**2 + 33*c - 4*h**2 wrt c.
2*b*h**2 + 140*b - h**2 + 33
What is the derivative of -1216*p**3 + 1020*p + 3703060?
-3648*p**2 + 1020
What is the first derivative of 5*g*i*m**2 - 1101608*g*m**3 - 49170*i*m**3 wrt i?
5*g*m**2 - 49170*m**3
Find the third derivative of -174*q**6 - 4*q**3*u**2 - q**2*u**2 + 2*q**2 - 6004*q wrt q.
-20880*q**3 - 24*u**2
Find the second derivative of -26024*k**2 + 25937*k wrt k.
-52048
What is the second derivative of 7*r**4 - 1823*r**3 + 383948*r wrt r?
84*r**2 - 10938*r
What is the second derivative of 137040*g**3 - 264241*g wrt g?
822240*g
Find the first derivative of -1207*r**3 + 46*r - 208558.
-3621*r**2 + 46
Find the second derivative of -6*i**3 + 1859*i**2 - 104*i - 2297.
-36*i + 3718
What is the second derivative of h**2*l*x**3 - 4*h**2*l - 53*h*l*x - 7*l*x - 162*x**3 - 10*x**2 - 2*x wrt x?
6*h**2*l*x - 972*x - 20
What is the third derivative of -57313*g**3*y**3 - g**3*y + g**2*y**2 - 19*g**2*y - g*y wrt y?
-343878*g**3
Find the third derivative of 12932*z**4 + z**3 + 662*z**2 - 79 wrt z.
310368*z + 6
What is the third derivative of 4*p**5 - 11487*p**4 - p**3 + 8*p**2 - 339*p - 1?
240*p**2 - 275688*p - 6
What is the derivative of 115004*s**3 + 2739 wrt s?
345012*s**2
What is the third derivative of 17*b**4*k*q - 14*b**4*k + 89*b**3*q + 418*b**2 + 2*b*k + 20*b*q wrt b?
408*b*k*q - 336*b*k + 534*q
What is the second derivative of -100*a**4 - 398*a**3 - 922201*a?
-1200*a**2 - 2388*a
What is the derivative of 52278*i**2 - 9*i - 173239 wrt i?
104556*i - 9
Differentiate 2*s**4 - 1261*s**3 + 8*s + 8766.
8*s**3 - 3783*s**2 + 8
What is the second derivative of 2*f**4 - 48*f**3 + 43*f**2 - f - 141795?
24*f**2 - 288*f + 86
Find the third derivative of -13487*z**6 + 27553*z**2 wrt z.
-1618440*z**3
What is the third derivative of 7*c**3*f*j**2*m + 46*c**3*f*j + 398*c**3*f - 1134*c**2*f*j + 11*c*f*j**2*m + 47*c*f*j*m wrt c?
42*f*j**2*m + 276*f*j + 2388*f
What is the second derivative of -42245*f**5*j**3 - 24*f**5*j - 1803*f*j**3 - 498*f*j**2 wrt f?
-844900*f**3*j**3 - 480*f**3*j
What is the second derivative of -93787*i**3 - 41*i + 284 wrt i?
-562722*i
What is the second derivative of -d**2*r**2 - 2*d**2*r - 133379*d**2 + 14367*d*r**2 - 5*d*r wrt d?
-2*r**2 - 4*r - 266758
What is the first derivative of -213962*i*z**3 - 155943*i - 2*z**4 wrt z?
-641886*i*z**2 - 8*z**3
Find the second derivative of -23*j*z**3 - 26*j*z - 12*j + 2*z**3 + 454*z**2 + z - 1 wrt z.
-138*j*z + 12*z + 908
Find the second derivative of 76565*m*n**4 + 14*m*n - 3*m + 21*n wrt n.
918780*m*n**2
Differentiate -2*o**2*p + 2*o**2 - 979*o*p + 10*o - 59754*p wrt o.
-4*o*p + 4*o - 979*p + 10
Differentiate -4*n**2*o**2*w**2 - 370628*n**2*w**2 - 64838*o**2 + 23*w**2 wrt n.
-8*n*o**2*w**2 - 741256*n*w**2
What is the derivative of 200*t**3 + 160*t**2 + 48910 wrt t?
600*t**2 + 320*t
What is the second derivative of b**2*o**3 - 2*b**2*o**2 - b**2 - 20*o**4 - 1035*o wrt o?
6*b**2*o - 4*b**2 - 240*o**2
What is the third derivative of 17*c**4*x**2 + c**4 - 175*c**3 - 30*c**2*x + 122*c*x**2 wrt c?
408*c*x**2 + 24*c - 1050
What is the derivative of -163586*o**2 - 134248?
-327172*o
What is the second derivative of 65269*t**3 - 48376*t wrt t?
391614*t
What is the second derivative of 49119*w**2 + 3*w - 9558?
98238
Find the third derivative of 10*g**5*x**2 + 7083*g**3*x - 15*g**2 - 81*g*x**2 - 267*x wrt g.
600*g**2*x**2 + 42498*x
Find the second derivative of 23007*b*w**2 - 2*b - 6749*w + 2 wrt w.
46014*b
Differentiate 158*j**4 - 4809*j**3*p**2 + 4*p**2 - 17229*p - 11 wrt j.
632*j**3 - 14427*j**2*p**2
What is the first derivative of -2123015*j**2 - 463860?
-4246030*j
What is the second derivative of -510266*a**2 - 678023*a?
-1020532
What is the second derivative of -2503802*i**2 - 2456617*i?
-5007604
What is the second derivative of 246*t**2 - 82*t - 56?
492
Find the second derivative of 187*c**5 + 2*c**4 - 67*c**2 - 63953*c wrt c.
3740*c**3 + 24*c**2 - 134
Find the first derivative of 160*a**4 + 65*a**3 - 357883.
640*a**3 + 195*a**2
Differentiate 193758*d*i**2 + i**2 - 21*i - 1709 wrt d.
193758*i**2
What is the first derivative of 4*x**2 + 16835*x - 26941 wrt x?
8*x + 16835
What is the derivative of 2*r**3 + 5725*r**2 + 9413 wrt r?
6*r**2 + 11450*r
Differentiate -819609*o**3*w**2 + 3*o**3 + 149535*o wrt w.
-1639218*o**3*w
What is the first derivative of -a**4 - 6*a**3 - a**2 - 6219*a + 4074880?
-4*a**3 - 18*a**2 - 2*a - 6219
Find the second derivative of 4*d**2*r**2 + 2*d**2 + 27717*d*r**2 - 398*d*r + 156*d wrt r.
8*d**2 + 55434*d
Find the third derivative of 5995*o**3*u + o**3 + 113*o**2*u - 5*o**2 + 4*o*u - 31*o wrt o.
35970*u + 6
What is the first derivative of 41*b**2 - 12*b - 15084 wrt b?
82*b - 12
What is the derivative of -4*p**2 + 978*p*y - 5*y - 48 wrt p?
-8*p + 978*y
Find the second derivative of -1 | {
"pile_set_name": "DM Mathematics"
} |
etween 9:54 AM and 7:35 PM?
581
How many minutes are there between 3:53 AM and 6:59 AM?
186
What is 6 minutes after 5:31 AM?
5:37 AM
What is 104 minutes after 9:27 AM?
11:11 AM
What is 595 minutes after 12:49 AM?
10:44 AM
What is 176 minutes after 9:13 AM?
12:09 PM
What is 325 minutes before 10:15 AM?
4:50 AM
How many minutes are there between 2:16 PM and 3:38 PM?
82
How many minutes are there between 8:53 AM and 8:55 AM?
2
What is 69 minutes before 1:09 PM?
12:00 PM
What is 491 minutes after 11:13 AM?
7:24 PM
What is 445 minutes before 5:49 AM?
10:24 PM
What is 253 minutes after 5:30 PM?
9:43 PM
How many minutes are there between 12:33 PM and 10:38 PM?
605
How many minutes are there between 8:03 AM and 5:23 PM?
560
How many minutes are there between 3:23 AM and 8:02 AM?
279
How many minutes are there between 8:28 PM and 9:28 PM?
60
How many minutes are there between 9:00 PM and 1:20 AM?
260
What is 77 minutes before 10:50 PM?
9:33 PM
What is 505 minutes after 5:50 AM?
2:15 PM
How many minutes are there between 9:44 PM and 9:02 AM?
678
How many minutes are there between 10:44 PM and 11:09 PM?
25
What is 211 minutes before 11:08 AM?
7:37 AM
What is 52 minutes after 5:15 PM?
6:07 PM
What is 543 minutes after 12:55 PM?
9:58 PM
What is 14 minutes after 4:10 PM?
4:24 PM
What is 341 minutes before 5:30 PM?
11:49 AM
What is 559 minutes after 8:42 AM?
6:01 PM
What is 328 minutes before 3:36 PM?
10:08 AM
What is 166 minutes after 8:28 PM?
11:14 PM
How many minutes are there between 10:47 PM and 7:42 AM?
535
What is 313 minutes before 9:13 AM?
4:00 AM
How many minutes are there between 11:12 PM and 3:37 AM?
265
How many minutes are there between 11:21 AM and 9:46 PM?
625
How many minutes are there between 3:03 PM and 4:10 PM?
67
What is 719 minutes after 8:25 AM?
8:24 PM
What is 54 minutes after 3:26 AM?
4:20 AM
How many minutes are there between 10:55 AM and 11:01 AM?
6
What is 110 minutes after 3:13 AM?
5:03 AM
What is 387 minutes before 11:24 PM?
4:57 PM
How many minutes are there between 10:05 AM and 8:10 PM?
605
What is 98 minutes after 9:55 AM?
11:33 AM
How many minutes are there between 8:32 PM and 7:13 AM?
641
How many minutes are there between 12:01 AM and 8:45 AM?
524
How many minutes are there between 4:48 AM and 1:09 PM?
501
How many minutes are there between 11:48 AM and 2:24 PM?
156
What is 492 minutes before 7:56 AM?
11:44 PM
How many minutes are there between 7:17 PM and 5:47 AM?
630
What is 48 minutes before 5:49 PM?
5:01 PM
How many minutes are there between 12:33 AM and 5:07 AM?
274
How many minutes are there between 12:25 PM and 1:17 PM?
52
How many minutes are there between 4:12 PM and 5:29 PM?
77
How many minutes are there between 3:59 AM and 5:06 AM?
67
How many minutes are there between 12:09 AM and 7:57 AM?
468
How many minutes are there between 3:50 PM and 2:45 AM?
655
What is 560 minutes before 7:09 AM?
9:49 PM
What is 420 minutes after 11:45 PM?
6:45 AM
How many minutes are there between 1:34 AM and 3:02 AM?
88
What is 532 minutes before 8:13 AM?
11:21 PM
What is 60 minutes after 11:59 AM?
12:59 PM
How many minutes are there between 4:50 PM and 12:43 AM?
473
How many minutes are there between 12:21 PM and 12:57 PM?
36
How many minutes are there between 1:55 AM and 4:42 AM?
167
What is 313 minutes after 2:17 PM?
7:30 PM
What is 172 minutes after 9:37 AM?
12:29 PM
What is 166 minutes after 12:26 AM?
3:12 AM
How many minutes are there between 9:39 AM and 6:42 PM?
543
What is 246 minutes after 8:23 AM?
12:29 PM
What is 195 minutes before 4:07 PM?
12:52 PM
What is 588 minutes before 10:58 PM?
1:10 PM
What is 399 minutes after 8:10 AM?
2:49 PM
How many minutes are there between 12:18 AM and 2:08 AM?
110
How many minutes are there between 4:45 AM and 2:28 PM?
583
How many minutes are there between 6:27 AM and 10:51 AM?
264
How many minutes are there between 4:55 PM and 10:20 PM?
325
What is 419 minutes after 12:50 AM?
7:49 AM
How many minutes are there between 9:58 PM and 12:10 AM?
132
What is 110 minutes after 7:36 PM?
9:26 PM
How many minutes are there between 9:41 AM and 5:23 PM?
462
How many minutes are there between 6:51 AM and 6:46 PM?
715
What is 644 minutes before 3:47 AM?
5:03 PM
What is 203 minutes after 7:40 PM?
11:03 PM
How many minutes are there between 8:42 AM and 9:41 AM?
59
How many minutes are there between 7:19 AM and 9:38 AM?
139
What is 401 minutes before 11:09 AM?
4:28 AM
What is 473 minutes before 7:58 AM?
12:05 AM
What is 456 minutes before 3:24 PM?
7:48 AM
What is 589 minutes after 6:42 PM?
4:31 AM
What is 33 minutes before 4:40 AM?
4:07 AM
What is 98 minutes after 5:00 AM?
6:38 AM
What is 501 minutes before 11:57 PM?
3:36 PM
What is 576 minutes before 12:15 PM?
2:39 AM
What is 420 minutes before 9:50 AM?
2:50 AM
What is 680 minutes before 1:18 AM?
1:58 PM
How many minutes are there between 1:25 PM and 8:26 PM?
421
How many minutes are there between 8:06 PM and 10:13 PM?
127
How many minutes are there between 8:12 AM and 2:51 PM?
399
What is 559 minutes before 4:33 PM?
7:14 AM
What is 277 minutes after 7:24 PM?
12:01 AM
What is 660 minutes after 12:18 PM?
11:18 PM
How many minutes are there between 4:54 PM and 2:50 AM?
596
How many minutes are there between 5:16 PM and 5:56 PM?
40
How many minutes are there between 3:55 PM and 2:12 AM?
617
How many minutes are there between 3:10 AM and 1:35 PM?
625
What is 587 minutes after 9:51 PM?
7:38 AM
What is 250 minutes before 2:04 PM?
9:54 AM
How many minutes are there between 9:23 PM and 9:13 AM?
710
What is 685 minutes before 8:20 PM?
8:55 AM
What is 145 minutes after 9:49 AM?
12:14 PM
How many minutes are there between 6:58 PM and 4:43 AM?
585
What is 159 minutes before 7:49 PM?
5:10 PM
What is 166 minutes after 8:35 AM?
11:21 AM
How many minutes are there between 7:33 PM and 12:38 AM?
305
How many minutes are there between 7:12 AM and 12:25 PM?
313
How many minutes are there between 4:38 PM and 9:02 PM?
264
What is 266 minutes before 4:54 PM?
12:28 PM
How many minutes are there between 9:33 AM and 8:40 PM?
667
What is 709 minutes after 9:46 PM?
9:35 AM
What is 342 minutes after 10:38 AM?
4:20 PM
How many minutes are there between 10:24 PM and 5:36 AM?
432
How many minutes are there between 9:24 PM and 8:16 AM?
652
What is 623 minutes before 1:42 PM?
3:19 AM
What is 564 minutes after 3:36 AM?
1:00 PM
How many minutes are there between 1:06 AM and 8:02 AM?
416
How many minutes are there between 1:42 PM and 9:24 PM?
462
What is 371 minutes after 12:38 PM?
6:49 PM
How many minutes are there between 11:24 PM and 9:05 AM?
581
What is 705 minutes after 9:54 PM?
9:39 AM
What is 170 minutes before 12:28 PM?
9:38 AM
How many minutes are there between 12:49 PM and 8:15 PM?
446
How many minutes are there between 8:05 AM and 6:33 PM?
628
How many minutes are there between 6:43 AM and 10:10 AM?
207
How many minutes are there between 4:42 PM and 3:28 AM?
646
What is 328 minutes after 7:23 PM?
12:51 AM
What is 321 minutes after 9:35 PM?
2:56 AM
What is 416 minutes after 6:14 AM?
1:10 PM
What is 388 minutes after 9:51 PM?
4:19 AM
How many minutes are there between 10:15 AM and 7:27 PM?
552
What is 374 minutes before 5:01 PM?
10:47 AM
What is 317 minutes before 2:05 AM?
8:48 PM
What is 123 minutes before 5:37 PM?
3:34 PM
How many minutes are there between 1:24 PM and 5:07 PM?
223
How many minutes are there between 9:12 AM and 2:14 PM?
302
What is 605 minutes before 5:40 AM?
7:35 PM
What is 309 minutes after 11:06 AM?
4:15 PM
What is 703 minutes before 12:24 PM?
12:41 AM
What is 485 minutes before 7:35 AM?
11:30 PM
How many minutes are there between 1:53 AM and 2:31 AM?
38
What is 315 minutes before 8:16 AM?
3:01 AM
How many minutes are there between 10:48 AM and 3:22 PM?
274
What is 576 minutes before 4:56 AM?
7:20 PM
How many minutes are there between 3:08 AM and 6:19 AM?
191
How many minutes are there between 10:14 PM and 5:48 AM?
454
What is 528 minutes after 8:20 PM?
5:08 AM
How many minutes are there between 1:01 AM and 12:30 PM?
689
What is 145 minutes after 6:45 PM?
9:10 PM
What is 466 minutes before 6:50 PM?
11:04 AM
How many minutes are there between 10:10 AM and 8:27 PM?
617
How many minutes are there between 12:10 PM and 9:42 PM?
572
What is 439 minutes before 2:00 | {
"pile_set_name": "DM Mathematics"
} |
95*g
Collect the terms in -k**3 - 772482*k - k**2 - 2 + k**2 + 775911*k.
-k**3 + 3429*k - 2
Collect the terms in -2596*r**2 - 2622*r**2 + 7763*r**2 - 2534*r**2.
11*r**2
Collect the terms in -26*v**2 + 72*v**2 - 46*v**2 + 2229*v - 823*v + 3*v**3.
3*v**3 + 1406*v
Collect the terms in -28*f**3 - 10*f**3 + 69*f**3 - 10*f**3 - 34*f**3 - 8*f.
-13*f**3 - 8*f
Collect the terms in 26174 + 10*h**2 - 23*h**2 + 7*h**2 + 4*h + 9*h**2.
3*h**2 + 4*h + 26174
Collect the terms in -3126 + 0*f - 14*f**3 + 6398 + 0*f - 3272 - 23*f**3.
-37*f**3
Collect the terms in -107391*m**3 + 21855*m**3 - 86063*m**3 + 26023*m**3.
-145576*m**3
Collect the terms in -148*l**2 - 238*l**2 + 852*l**2 - 234*l**2 - 230*l**2.
2*l**2
Collect the terms in 5*g - 2668*g**2 - 4 - 5*g + 1 + 5526*g**2 - 2677*g**2.
181*g**2 - 3
Collect the terms in 1379*k - 461*k - 455*k - 18*k**2 - 40*k**2 - 463*k.
-58*k**2
Collect the terms in -152614*w**2 - 152610*w**2 - 17*w**3 - 152609*w**2 + 457833*w**2 - 24*w**3.
-41*w**3
Collect the terms in -227*g - 67072022 + 67072022.
-227*g
Collect the terms in -53*h**3 - 1390 - 246*h**3 + 1390 - 1196*h**3.
-1495*h**3
Collect the terms in -930 - 3179*t**2 - 938 + 2806 - 938 + 185*t**2.
-2994*t**2
Collect the terms in 214*w**2 - 898*w**2 + 693*w**2.
9*w**2
Collect the terms in -8*d - 369 - 180*d + 190*d.
2*d - 369
Collect the terms in 39*v + 6*v - 17*v - 37*v + 20.
-9*v + 20
Collect the terms in 181 + 410 - 124*s - 2*s**2 + 19 - 67*s.
-2*s**2 - 191*s + 610
Collect the terms in -45*r - 10*r**3 + 37*r - 47*r + 134*r - 79*r.
-10*r**3
Collect the terms in -70*q + 145*q + 258*q + 181*q - 7*q**3 + 2*q**3.
-5*q**3 + 514*q
Collect the terms in -63*n**3 - 42 + 178*n**2 + 197*n**2 + 42 - 375*n**2.
-63*n**3
Collect the terms in 2*k**3 + 0*k**3 + 1175530100*k**2 - 1175530042*k**2.
2*k**3 + 58*k**2
Collect the terms in 42775 - 85575 + 42805 - 678*h**3.
-678*h**3 + 5
Collect the terms in 178*c**2 - 2948*c - 2939*c - 2945*c + 8832*c.
178*c**2
Collect the terms in -1990*c - 1388*c - 139*c - 429*c - 385*c.
-4331*c
Collect the terms in -106*i**3 + 3939472497*i - 3939472497*i.
-106*i**3
Collect the terms in 4 + 0 - 2156*f**2 + 4306*f**2 - 2106*f**2 - 5 + 6.
44*f**2 + 5
Collect the terms in -a - 1236 + 402 + 485 + 349.
-a
Collect the terms in 223*i + 1 + 2*i**2 + 2*i**3 - 2*i**2 + 141*i - 422*i.
2*i**3 - 58*i + 1
Collect the terms in 195618*k**2 - 3 + 5 + 2785*k**2.
198403*k**2 + 2
Collect the terms in 45759*o + 6560*o + 11129*o.
63448*o
Collect the terms in 1662410*p + 1317520*p + 418322*p - 940760*p.
2457492*p
Collect the terms in -3 + 1290*m - 2358*m + 3 + 1333*m.
265*m
Collect the terms in 9 - 3201388*p**2 + 7 + 3201433*p**2 - 16.
45*p**2
Collect the terms in 3051*d**3 + 4082*d**3 - 6370*d**3.
763*d**3
Collect the terms in 58 - 113 + 57 - 337949*j.
-337949*j + 2
Collect the terms in 16*j**2 + 113*j**2 - 49*j**2 + 41*j**2.
121*j**2
Collect the terms in 49 + 34 + 49 + d**2 - 192 + 35 + 60.
d**2 + 35
Collect the terms in 2183597*s - 2183597*s + 12679*s**2.
12679*s**2
Collect the terms in 20*o**2 + 86*o**3 - 19*o**2 + 20*o - 5*o**2.
86*o**3 - 4*o**2 + 20*o
Collect the terms in 10868*v**2 - 5187 - 113*v + 116*v + 5187.
10868*v**2 + 3*v
Collect the terms in -7*y**3 + 30995*y - 15738*y - 15258*y.
-7*y**3 - y
Collect the terms in -5*k + 0*k + 41*k**3 + 1566*k**3 - 4*k - 1605*k**3 + 14*k - 5*k.
2*k**3
Collect the terms in 2*j**3 - 67822873 + 67822873.
2*j**3
Collect the terms in 798*z**2 + 1080*z**2 + 869*z**2 + 0 + 0.
2747*z**2
Collect the terms in 59617*l**3 - 14892*l**3 - 14889*l**3 - 14939*l**3 - 14895*l**3.
2*l**3
Collect the terms in 24 - 21 + 62530*j - 62681*j - 2.
-151*j + 1
Collect the terms in 33 + 194064010*s**2 - 16 - 194064028*s**2 - 17.
-18*s**2
Collect the terms in 0*l**2 + 1878*l - 5714*l + 3836*l + l**2.
l**2
Collect the terms in -54*k + 334 + 735 - 163 + 370.
-54*k + 1276
Collect the terms in 2644*m + 904*m + 1916*m - 1217*m.
4247*m
Collect the terms in -9*r - 884572106724 + 884572106724.
-9*r
Collect the terms in -15293331*t**3 + t**2 + 15293354*t**3 - t**2.
23*t**3
Collect the terms in 16780*j**2 + 39639*j**2 + 48420*j**2 + 22157*j**2.
126996*j**2
Collect the terms in -32577*o - 1325*o - 510*o - 116864*o.
-151276*o
Collect the terms in 13 - 36 + 11*w**3 + 3*w**3 + 102*w - 169*w + 67*w.
14*w**3 - 23
Collect the terms in -200978*n + 110093*n - 32408*n - 143994*n.
-267287*n
Collect the terms in -1987 - 12*h + 1937 + 72*h + 72*h.
132*h - 50
Collect the terms in 3507*q**2 + q**3 - 7070*q**2 - 3*q**3 + 3563*q**2 + q**3.
-q**3
Collect the terms in 104*b**2 - 135*b**2 + 6*b**2.
-25*b**2
Collect the terms in -30447*t**2 + 5417*t**2 - 6416*t**2.
-31446*t**2
Collect the terms in 138674*q**2 - 56941*q**2 + 118925*q**2.
200658*q**2
Collect the terms in -341*t + 7251*t**2 + 18517*t**2 + 345*t.
25768*t**2 + 4*t
Collect the terms in 3685*f - 917*f - 7*f**2 - 918*f - 925*f - 925*f.
-7*f**2
Collect the terms in 3 - 1039*u**2 + 2*u + 1415*u**2 + 1661*u**2 + 979*u**2.
3016*u**2 + 2*u + 3
Collect the terms in 115 + 108 + 110 - 299 - 13*r**2 + 19*r**2 + 10*r**2.
16*r**2 + 34
Collect the terms in -62538*z - 62524*z + 187688*z - 62564*z.
62*z
Collect the terms in -35*v**2 - 34*v - 28*v**2 - 31*v**2 - 63*v + 82*v**2.
-12*v**2 - 97*v
Collect the terms in 1845*v**3 + 1800*v**3 + 1452*v**3 - 4576*v**3.
521*v**3
Collect the terms in 40*c + 393 - 493 + 3550 + 2048 - 38*c.
2*c + 5498
Collect the terms in -8*b - 9*b + 37*b - 2 - 8*b - 2 + 3*b.
15*b - 4
Collect the terms in -264*s - 122*s - 4*s**2 + 426*s - 30*s.
-4*s**2 + 10*s
Collect the terms in 2344*o**3 - 206213425*o**2 + 206213425*o**2.
2344*o**3
Collect the terms in -197*t - 184*t + 805*t - 433*t.
-9*t
Collect the terms in -222 + 135 + 87 + 570*u.
570*u
Collect the terms in -8273*f + 2074*f + 2030*f + 2073*f + 2022*f.
-74*f
Collect the terms in 182*k**3 - 19*k**3 + 6*k - 4*k + 96*k**3 - 2*k.
259*k**3
Collect the terms in 7772*s**2 - 11477*s**2 + 6322*s**2.
2617*s**2
Collect the terms in 80 - 1623 + 75 - 176*d + 181*d - 244.
5*d - 1712
Collect the terms in 12 - 247675182*g**2 - 9*g**3 + 247675182*g**2.
-9*g**3 + 12
Collect the terms in 1451*z - 4321*z - 4 + 1471*z + 1434*z - 4.
35*z - 8
Collect the terms in 30*t**3 - 36*t**2 - 3*t + 29*t**3 - 7*t**3 + t.
52*t**3 - 36*t**2 - 2*t
Collect the terms in 1 + 38241924*u**2 + 31*u**3 - 38241924*u**2.
31*u**3 + 1
Collect the terms in -441490*y**3 - 421043*y**3 + 156304*y**3 - 723719*y**3.
-1429948*y**3
Collect the terms in -980434*b**2 + 1960901*b**2 - 980437*b**2.
30*b**2
Collect the terms in -53594 + 870*s**2 + 26756 + 26838.
870*s**2
Collect the terms in -3*k**2 - 3636*k + 1371*k + 1671*k + 2*k**2.
-k**2 - 594*k
Collect the terms in 230134*f + 145 - 145.
230134*f
Collect the terms in 9969*m - 1916*m - 2011*m - 2015*m - 2010*m - 2012*m.
5*m
Collect the terms in 12130 + 12124 + 4*v**2 - 15*v**2 - 24254.
-11*v**2
Collect the terms in -39439 - 38012 + 77456 + 96*i.
96*i + 5
Collect the terms in 2 + 2 - 5 - 1874*x - 2879*x.
-4753*x - 1
Collect the terms in 121*p**3 + 1672639049*p**2 - 1672639049*p**2.
121*p**3
Collect the terms in -142*w + 0*w**2 + 44*w + 99*w + w**2.
w**2 + w
Collect the terms in -p + 25*p**2 - 19*p**2 + 5*p**2 + 16*p**2 + 21*p**2.
48*p**2 - p
Collect the terms in 3328*b - 2859*b + 4*b**3 - 469*b.
4*b**3
Collect the terms in -13945*k + 2337*k - 11766*k - 2848*k.
-26222*k
Collect the terms in 91 + 90*h + 92*h + 184*h - 91 - 26*h.
340*h
Collect the terms in -12*g**2 - 10*g**2 - 1322*g + 35*g**2 - 15*g**2 + 2635*g - 1313*g.
-2*g**2
Collect the terms in 2*j**2 - 3*j**2 - 101781 + 79536.
-j**2 - 22245
Collect the terms in -390*a**2 - 565*a**2 - 116*a**2 + 350*a**2.
-721*a**2
Collect the terms in -18*d + 47*d - 131573*d**2 + 4 + 131458*d**2.
-115*d**2 + 29*d + 4
Collect the terms in 10*h**2 + 10*h**3 - 10*h**2 - 3*h + 449*h**3 - 12*h**2 + 4*h.
459*h**3 - 12*h**2 + h
Collect the terms in 5606*z - 16929*z - 1 + 2 + 5589*z + 5661*z.
-73*z + 1
Collect the terms in -46 + 17981*h - 17985*h + 122.
-4*h + 76
Collect the terms in -6816*y**2 - 6818*y**2 - 6817*y**2 - 6815*y**2 - 77*y**3 + 27264*y**2.
-77*y**3 - 2*y**2
Collect the terms in -63 + 25 + 20 + 5369*c + 17 + 3186*c.
8555*c - 1
Collect the terms in -34 - 18 - 19686*l + 19.
-19686*l - 33
Collect the terms in -1323*x**2 + 703*x**2 - 32*x**3 - 9 | {
"pile_set_name": "DM Mathematics"
} |
Suppose 4*g = 5*c - 22751, -g = 4*c + 4*g - s. Is c a composite number?
False
Let u = -12329 + 23402. Is u*((-33)/9)/(-11) a composite number?
False
Let f(u) = -u**2 - 4*u + 2. Let g be f(-3). Let r be (17/(-5))/((-1)/g). Let d(n) = 3*n**2 - 37*n + 13. Is d(r) a prime number?
True
Let m be 2/(-3) - (-80)/(-6). Let o(j) = 5 - 4*j**2 + 19*j**2 + 5*j + 4*j**3 + 3*j - 3*j**3. Is o(m) composite?
False
Suppose 0 = -5*s - 5, -4 = 2*u - 2*s - 32. Let l = 2841 - 2329. Let n = l - u. Is n composite?
False
Suppose r + 102 = c, 0 = 3*c + 4*r - 87 - 233. Suppose 4*p + y = -c, 0*y = 2*y. Is 2/4 + (-19201)/p a prime number?
True
Let r(h) = -11524*h - 1335. Is r(-7) prime?
True
Let z(h) = h**3 + 2*h**2 + 2*h - 2. Let f = -361 + 370. Is z(f) a prime number?
True
Let p(h) = -h**3 + 42*h**2 - 17*h + 100. Let u be p(31). Let o = u - 2903. Is o composite?
True
Suppose -3*x = 3*x - 84. Suppose 5*s = 4*y - 104744, 16*s - x*s = 8. Is y composite?
True
Let f = 2637 - 1280. Let i = f + -620. Is i a composite number?
True
Let f(a) = 550*a**2 - 6*a - 1. Let y be f(2). Let x be 2/(-11) - y/11. Let p = 240 - x. Is p composite?
False
Suppose -109*s + 114*s = 4*h + 767113, 5*h + 920536 = 6*s. Is s a prime number?
True
Let x(b) = 47537*b - 1898. Is x(3) a prime number?
False
Let y(f) = -f - 21. Let b be y(1). Is (-17 - b)*(-8138)/(-10) a prime number?
False
Let q = -92 - -125. Suppose 5*y = -q + 43. Is 11964/8*-5*y/(-15) prime?
True
Let s = -949109 - -1350144. Is s a prime number?
False
Let c(r) = 162284*r**2 - 27*r + 2. Is c(1) a prime number?
False
Suppose 2*l - 3810 = -2*t, 3*l + 2*t - 5709 = -3*t. Suppose -d - 15072 = -l. Is (d/18)/(2/(-3)) composite?
False
Let k be (-2)/(-4)*(5 - -9)*1. Let g(f) = f + k*f**2 - 5 - 5 + 6 + f**3. Is g(-6) a prime number?
False
Let o(c) be the second derivative of 211*c**3/6 + 91*c**2/2 + 31*c. Is o(6) a prime number?
False
Suppose 0 = -4*c + 9 + 3. Let z be ((-5)/(-10))/((-7)/(-70)). Suppose -1057 = -z*h - 5*f + 598, f = -c*h + 1001. Is h a prime number?
False
Suppose 3*r = 2*y - 39, -8*y + 5*y - 5*r + 30 = 0. Let o be (17 - y) + 2*617. Let h = o + -347. Is h composite?
True
Let z = 10 - -336. Suppose -135 = 4*a - 2*b + 147, -5*a = 4*b + z. Is (-2)/7 + (-25360)/a a prime number?
False
Suppose -2*s = -2*b + 6053 + 2459, 2*b = -2*s + 8524. Let j = 1651 - b. Let c = -1599 - j. Is c a composite number?
False
Suppose -20 = -4*o, 3*z + 11851 = 5*o + 29757. Let f = -1886 + z. Is f a composite number?
False
Let v = -71 + 76. Suppose -3*r = v*g - 29414, 3*g = -g - 4*r + 23528. Suppose 12*d = 8*d + g. Is d a prime number?
True
Let b be 1870/33 + 2/(-3). Suppose -2*t = -0*t + b. Let a = 78 - t. Is a composite?
True
Is 5/15 - (-12)/18 - -48954 a prime number?
False
Let f = 56 - 155. Let j = 1082 + f. Is j a composite number?
False
Suppose 594 = 71*w - 65*w. Let j = w - 25. Suppose -3*h - 2*f - j = -601, -3*h + 522 = 3*f. Is h composite?
False
Let j(n) = n**2 - 8*n - 2. Let o be j(8). Let r be 227587 + (-1 - o) + 4. Is 1/(-5) - r/(-60) prime?
True
Suppose 23*i = 20*i - 6. Let n(l) = -927*l**3 + 2*l**2 + 4*l + 5. Let o be n(i). Suppose -7*a + 7286 = -o. Is a prime?
False
Let c be 3*(-36)/(-27)*(-1)/2. Let a(u) = 638*u**2 + 9*u - 3. Is a(c) composite?
False
Is (6 - 1) + 31/(403/2263716) a composite number?
False
Let c(l) = l**3 + 26*l**2 + 50*l + 48. Let g be c(-24). Is (g + 1)/(15/45735) a composite number?
False
Suppose 21*j = -40*j + 44433268 - 18233951. Is j prime?
True
Let l(w) = -w**2 + 19*w + 4. Let d be l(19). Suppose 0 = -g + 4*h + 252 + 34, 512 = 2*g + d*h. Is g/((-1 - -2 - 0)*2) a composite number?
True
Let y(x) = x**3 - 6*x**2 - 6*x - 2. Let s be -4 - -4 - 1*(1 - 8). Let p be y(s). Suppose -2225 = -5*m - 2*k, 2*m + m = p*k + 1335. Is m composite?
True
Let v(p) = 15*p**2 - 7*p + 7. Suppose 5*y - 3*g = 238, -4*y - y - 4*g + 231 = 0. Suppose -y = -5*q - 4*i + 19, 3*i = -2*q + 32. Is v(q) a prime number?
False
Suppose 50*a - 18483770 = -140*a. Is a a prime number?
True
Suppose 0 = -5*y + 6*y - 1. Let m be (-1 - 1/1)*(-7)/y. Let w(f) = f**3 - 4*f**2 - 8*f - 13. Is w(m) prime?
False
Let z = -74885 + 111924. Is z composite?
False
Let z = -156527 - -273316. Is z a composite number?
False
Let s(o) = -614*o + 35. Suppose -4*v - 33 = 2*t - 5*t, 5*t - 11 = 3*v. Is s(v) prime?
False
Let a be (-4179)/(-9)*(9 + (-2 - 1)). Suppose 2567 = m + i - a, 0 = 4*m - 2*i - 21436. Is m a composite number?
True
Let d(y) = -8*y**3 + 6*y**2 + 8*y - 12. Let o(l) = 8*l**3 - 6*l**2 - 8*l + 13. Let z(v) = 6*d(v) + 5*o(v). Is z(-8) prime?
True
Let p(q) = -9713*q + 39. Is p(-4) prime?
True
Let w(d) = d**2 + 6*d + 1. Let h be w(-6). Let c(l) = 10*l**3 - l**2. Let i be c(h). Is 3220/i - 28/(-126) a composite number?
True
Let z = -18886 + 27404. Suppose 4*n + 3396 = 2*y, z = -y + 6*y - 3*n. Suppose -y = -3*o + 4753. Is o a composite number?
False
Is (-4244134)/(-32) + (-507)/2704 prime?
False
Suppose g - 418175 = -3*m, -5*m - g + 4*g + 696949 = 0. Is m prime?
False
Suppose 3*j - 389 = -h, j - 102*h = -103*h + 131. Is j composite?
True
Let v(u) = -10*u**2 + 5*u - 4. Let r be v(1). Let p be ((-21)/r)/(-7)*-61782. Suppose p = 6*f - 15808. Is f prime?
True
Suppose x = -4*s + 785869, -5*s - 2700575 = -3*x - 343019. Is x prime?
True
Suppose 5*w = 5*x - 30, -3*x - 2*x + 36 = -2*w. Let i(a) = -20*a + x + 23 - 107*a. Is i(-16) prime?
True
Let u(h) be the first derivative of h**4/4 - 8*h**3/3 + h**2 - 7*h + 10. Let s be u(7). Let m = 95 + s. Is m a composite number?
False
Suppose -21*y - 3 = -20*y, -3067024 = -5*z + 3*y. Is z a composite number?
True
Let w be 36/(-162) - 184088/(-9). Let t = -5393 + w. Is t prime?
True
Let k be (-3)/(-6 + (-105)/(-20)). Suppose 5*r = k*r + 4349. Is r a prime number?
True
Let z(p) = 672*p**2 - 15*p + 18. Let q be z(5). Is (-2 - -5)/(9/q) a composite number?
False
Let q(d) = -d**3 - 104*d**2 - 50*d + 5262. Is q(-115) a composite number?
False
Let w = -65 + 67. Let o(f) be the third derivative of 26*f**4/3 - f**3/2 - f**2 + 2*f. Is o(w) prime?
False
Suppose 4*j = -2*j + 12. Suppose -2*w = 4*x - 1808, j*w - 4*x - 1799 = x. Is w/1*14/28 a prime number?
False
Suppose -8716172 + 4730250 = -51*s + 7295635. Is s a prime number?
False
Suppose -28*k + 22*k = -23*k + 7138657. Is k composite?
False
Suppose -5*u - w + 424025 = 0, 4*w + 1017692 = -u + 13*u. Is u composite?
True
Suppose -j + 462295 = -2*r, 5*r - 9264 = -j + 453031. Is j prime?
False
Is (6 - 124)/((-78)/260247) prime?
False
Let u be ((-1488)/18)/(2 - 15/9). Let f be (2 - u)/((-8)/64). Let z = f + 3391. Is z a prime number?
False
Suppose 30 = n - 4*n - 3*d, 2*n + 8 = 4*d. Let j be 478334/7 + 6/(-84)*n. Is 1 + (-18)/14 - j/(-98) a prime number?
False
Let h be 18/(-4)*(-15364)/207. Let n(j) = j**3 - 12*j**2 - 17*j - 8. Let g be n(13). Let k = g + h. Is k prime?
False
Let x(v) = -22*v - 23*v**2 + 20*v**2 + v**3 - 40 - 11*v**2 + 10. Let f be x(19). Let u = -964 + f. Is u a composite number?
True
Let f(o) be the first derivative of -47*o**2/2 + 6*o + 55. Is f(-19) composite?
True
Let k(l) = -14*l - 54. Let r be k(-4). Is ((-3)/r)/((-6)/78956) a composite number?
False
Let u = 113 + -112. Let h be 2 + 1 + u + 1. Suppose 1759 = -h*i - 5*q + 5439, 3*q - 6 = 0. Is i prime?
False
Let u be ((-10)/(-6))/(3/(-9)) - -25. Suppose u*x = 37626 + 8794. Is x prime?
False
Let u(d) = 9576*d + 27. Let n be u(10). Suppose 5*v - n = w, 2*v + 4*w = -3214 + 41520. Is v a composite number?
False
Suppose 19315859 = 100*s - 34747653 + 5777812. Is s composite?
True
Let u = 208 - 218. Is (-1657)/(18/45 - (-14)/u) prime?
True
Let m(n) be the third derivative of 1/6*n**3 - 20*n**2 + 1/30*n**5 + 0*n + 0*n**4 + 1/3*n**6 + 0. Is m(2) a composite number?
True
Suppose -13*r + 26*r - 609393 = 709184. Is r composite?
False
Is 7 + (32253 - (-5 - -8)) prime?
True
Let f be 3 + (-1)/((6/(-2))/(-3)). Is (-6 - 2147)*(-10)/f a prime number?
False
Let z(x) = x**3 + 7*x**2 - 5*x - 12. Let l be z(-8). Let g = l + 39. Suppose g*r = -0*r - 3*y + 1245, -830 = -2*r + y. Is r a prime number?
False
Let r(a) = 20*a**2 - 3*a + 9. Let i(p) = p**2 + 4*p + 3. Let l be i(-4). Suppose l*d - 3*w = 5 - 2, 0 = 2*w - 6. Is r(d) composite?
False
Let x = 165 + -174. Let h be (-4 - (-4 + 3)) + 1. Is 36/x - (h + -261) prime?
False
Suppose l = 5*t - 76, 0 = -3*t - l + 12 | {
"pile_set_name": "DM Mathematics"
} |
s of (1062 - -39) + 0 + -5.
2, 137
Suppose 0 = -3*d + 8 + 4. Suppose 0 = 4*k + 3*w - 5*w - 154, -89 = -2*k - 3*w. Suppose d*q - 124 + k = 0. List the prime factors of q.
3, 7
Let m = -68 - -68. Suppose -13*t + 637 = -m*t. List the prime factors of t.
7
Let h = 247 + 254. What are the prime factors of h?
3, 167
Suppose 4*d = 6*m - 2918 - 2052, 2495 = 3*m - 4*d. What are the prime factors of m?
3, 5, 11
Let s(n) = 732*n - 31. List the prime factors of s(1).
701
List the prime factors of 115 - 110 - (1 + -1861).
5, 373
Suppose 2*h = 0, -3*i + 0*i - 4*h + 6 = 0. Suppose d + 65 = -a, -3*d - i*d - 85 = a. List the prime factors of (2 - 1)/((-2)/a).
2, 3, 5
Let c(g) be the second derivative of -g**5/20 + 5*g**4/12 + g**3/6 + 3*g**2/2 + 7*g. List the prime factors of c(5).
2
Suppose -5*z + 38 = -3*w - 4*z, -4*z = -2*w - 32. What are the prime factors of 10/(-15) - 260/w?
3, 7
Let l be 16 - 15 - ((0 - -2) + -14). Suppose -783 = -l*r + 2831. What are the prime factors of r?
2, 139
Suppose 4*i + 499 = 11447. What are the prime factors of i?
7, 17, 23
What are the prime factors of (8/10)/(24/96420 + 0)?
2, 1607
What are the prime factors of (48150/35)/9*7?
2, 5, 107
Let n(j) = -3*j**2 - 9*j - 14. Let u(g) = g - 1. Let y(p) = -n(p) - 6*u(p). List the prime factors of y(-6).
2, 5, 11
Let a(o) = -4 - o**2 + 3*o - 10*o + 5*o + 7*o. Let v be a(3). List the prime factors of ((-28)/5)/(v/(-10)).
2, 7
Suppose 0 = 4*b - 3*b - 2. Suppose r + b*r = 75. List the prime factors of r.
5
Let c = 578 - -1753. List the prime factors of c.
3, 7, 37
Let g be (-170)/(-30) + (-4)/6. Suppose -2*b + 108 = 4*t, 2*b - 4*t = g*b - 156. Suppose 0 = 2*y + y - b. List the prime factors of y.
2
Suppose 3*f + 169 = 3097. What are the prime factors of f?
2, 61
Let v be (-30)/4*(0 + 2/1). List the prime factors of -12*20*(1 - (-25)/v).
2, 5
What are the prime factors of (-48)/(-744) - 110730/(-31)?
2, 19, 47
Let q(t) = t**3 + 2*t**2 - 38. Let c be q(0). Let f = -17 - c. List the prime factors of f.
3, 7
Suppose -12 = -2*o - g, 2*o - 6*g + 2*g = -8. Suppose 0 = -o*y + i + 59, 7*i - 2*i = -y + 20. List the prime factors of y.
3, 5
List the prime factors of (4 - 6)*(-2)/(-4) - -599.
2, 13, 23
Suppose 3*v - 2*z = 86 + 3035, -3*z = -4*v + 4162. What are the prime factors of v?
1039
Suppose r = -4*m + 689, -4*m = -r - 4*r - 683. What are the prime factors of m?
2, 43
Suppose 47 = 5*l - 4*v, 5*l - 5*v - 12 = 38. Suppose l*n = 945 + 623. List the prime factors of n.
2, 7
Let n(q) = q**3 + 5*q**2 - 4*q + 7. Let u(f) = -2*f - 2. Let w be u(2). Let j be n(w). What are the prime factors of ((-4)/j)/(12/390)?
2, 13
Let v(x) = x**2 - 31*x - 662. List the prime factors of v(49).
2, 5, 11
Suppose -490 = -5*v + 5*k, -4*v - k + 398 = -3*k. List the prime factors of v.
101
Let m(j) = -j**2 + 21*j - 61. What are the prime factors of m(13)?
43
Let m = 158 + -224. What are the prime factors of -2*1 - m/3?
2, 5
Suppose -1429 - 1151 = -6*h. What are the prime factors of h?
2, 5, 43
Let x be (-8)/(-32) - (-142)/8. Suppose 0*h - 3*h - 4*s = -5, -s - x = -2*h. What are the prime factors of h?
7
Suppose 12533 = 29*i - 2953. What are the prime factors of i?
2, 3, 89
Suppose k + 1 - 6 = 0. Suppose -k*l + 15 = -0*l. Suppose -x + 93 = l*i + 37, 48 = x - i. What are the prime factors of x?
2, 5
Let q(i) = -11*i. Let m(h) = -351*h. Let y(b) = -2*m(b) + 65*q(b). What are the prime factors of y(-4)?
2, 13
Suppose -3*m = m + 3*v, 0 = -m + v. Let s(g) = -g**3 - g**2 + 61. List the prime factors of s(m).
61
Let z = -2 - 4. What are the prime factors of (-48)/(-32)*(-64)/z?
2
Suppose -669 - 611 = -5*j. Suppose 8*c = -0*c + j. What are the prime factors of c?
2
Let g(z) = -z**3 - 22*z**2 - 5*z - 64. What are the prime factors of g(-23)?
2, 5, 29
Let l(f) = -f**3 - 5*f**2 - 13*f + 8. Let k = -140 + 134. List the prime factors of l(k).
2, 61
Let l = 31 + -29. Suppose -l*w = -4*y + 160, 4*y = -y - 3*w + 189. What are the prime factors of y?
3, 13
Let d be 58*-1*(-7)/14. Suppose 2*a - 5*w - d = a, -4*w - 12 = 2*a. Suppose 4*j + 2*m = 3 + 25, a*m - 6 = 2*j. What are the prime factors of j?
5
Let y be 9/15 + 0 + 3/(-5). Suppose 0 = -4*p - 0*s - s + 391, 3*s - 9 = y. List the prime factors of p.
97
Let k(d) = -4 - d + 6*d**2 + 0*d**3 + 5*d**3 - 4*d**3 + 5. List the prime factors of k(-6).
7
Let k(f) = -5*f + f**2 + f**2 + 5*f - 5*f + 4. List the prime factors of k(6).
2, 23
Suppose -1137 = -4*o + 6507. List the prime factors of o.
3, 7, 13
Let m(n) = n**2 + 6*n - 8. Let a be m(-7). Let i be (-9)/(2 - a)*-1. Suppose -i*w + w = -10. List the prime factors of w.
5
Suppose x - 9496 = -7*x. List the prime factors of x.
1187
Suppose -10*b = -14*b. Suppose l = -b*v - 5*v + 26, 3*l = -4*v + 89. What are the prime factors of l?
31
Let a = -62 - -49. List the prime factors of 0 + a/((-39)/558).
2, 3, 31
What are the prime factors of (-8)/(-3)*(2946/12 - -5)?
2, 167
Suppose -5*m - 2*u - 161 - 163 = 0, 2*m + 130 = -u. Let s = 16 + -47. Let n = s - m. List the prime factors of n.
3, 11
Suppose 0 = -24*t - 8165 + 132245. List the prime factors of t.
2, 5, 11, 47
Let o be (1/3)/(7/7329). Let u be o/3 + 16/24. Suppose -4*p = -p - u. List the prime factors of p.
3, 13
Suppose 3*r = -23*z + 28*z - 3335, -5*r - 2001 = -3*z. What are the prime factors of z?
23, 29
Let g(n) = n**3 - 7*n**2 + n - 3. Let a be g(7). Suppose -220 = -0*j + a*j. What are the prime factors of (-1227)/(-33) + 10/j?
37
What are the prime factors of 1148 + 0/3 + -3?
5, 229
Let c = -40 - -41. Let u(l) = 78*l + 5. What are the prime factors of u(c)?
83
Suppose 15*q - 586 = 1304. List the prime factors of q.
2, 3, 7
Suppose -4*q - 5*p = -7*q + 159, -159 = -3*q + 3*p. Suppose -2*s - 3*b + 38 = -q, 2*b = -2*s + 92. What are the prime factors of s?
47
Let y be 108*(3 - (-6)/(-3) - 2). Let v = y + 217. List the prime factors of v.
109
What are the prime factors of 5161 - (-6 + (-12 - -20))?
7, 11, 67
Suppose 9*v - 1566 - 3663 = 0. What are the prime factors of v?
7, 83
Suppose -6*g = -6485 - 3319. List the prime factors of g.
2, 19, 43
Suppose 0 = b + b + 4. Let p be 2*b/4*5. What are the prime factors of (-14)/(-35) - 183/p?
37
Let s be 0*(5/3)/(-5). Suppose s = x + h - 53 - 47, -2*h + 398 = 4*x. What are the prime factors of x/18 - (-2)/4?
2, 3
What are the prime factors of 30/(-40)*12*-122?
2, 3, 61
Let p(l) = 185*l - 6. List the prime factors of p(3).
3, 61
Let y = 8 - 5. Suppose 3*k - 108 = 2*h, -h - y*h - 216 = 3*k. What are the prime factors of 6/(-15) + h/(-10)?
5
Let k(y) = -y**2 - 7*y - 4. Let s be k(-6). Suppose s*q - 13 = 11. Suppose q*b = 7*b + 300. List the prime factors of b.
2, 3, 5
Suppose 4*g - 11056 = 2*i + 2*i, 11096 = 4*g + 4*i. What are the prime factors of g?
3, 13, 71
Let a(j) = 138*j**2 - 57*j**2 - 12*j**2. What are the prime factors of a(-1)?
3, 23
List the prime factors of (40/(-5))/(2/(-118)).
2, 59
Let w(g) = -4 + 13 - 25 - 28 - 5*g. List the prime factors of w(-10).
2, 3
Let y(b) = 14*b**2 - 5*b - 126. What are the prime factors of y(-8)?
2, 3, 5
Suppose 1607 + 405 = 2*s. What are the prime factors of s?
2, 503
Suppose -5*w - 28 + 6 = -3*j, 0 = -j - 2*w. Suppose j = p + 1. Suppose 2*l = p*s - 40, -2*l + l - 5 = 0. What are the prime factors of s?
2, 5
Let f(y) = -96*y**3 - y**2 - 3*y - 6. What are the prime factors of f(-2)?
2, 191
Suppose 3 = -2*n + 7. Let s(o) = o**2 - 3*o + 2. Let a be s(n). Let i(y) = -y**3 - y + 14. What are the prime factors of i(a)?
2, 7
List the prime factors of (-10)/6*3 - (2 + -384).
13, 29
List the prime factors of 417/(-2)*5/((-25)/20).
2, 3, 139
Suppose 0 = -13*n + 915 - 148. List the prime factors of n.
59
Let k(l) be the third derivative of l**6/120 + l**5/12 - l**4/8 - 2*l**3 + 3*l**2. Suppose 22*s - 20*s + 10 = 0. List the prime factors of k(s).
3
Let b(p) = -4*p**3 + 2*p**2 + 2*p - 4. Let q be b(2). List the prime factors of 9/6*(-1456)/q.
7, 13
Let f(b) = 6*b**3 + 2*b**2 - 7*b - 3. What are the prime factors of f(4)?
5, 7, 11
Let z(y) be the third derivative of y**4/24 - y**3 + 4*y**2. Let n be z(7). Suppose t - 12 = p + n, -4*p = 5*t - 20. What are the prime factors of t?
2
Let i = -1170 + 2730. What are the prime factors of i?
2, 3, 5, 13
Let l be 2 - 3 - (-24)/6. Suppose -3*g = -0*g - d + 170, -l*g - 174 = -3*d. Let | {
"pile_set_name": "DM Mathematics"
} |
q rounded to the nearest integer?
-22
Let n = 5397.98641 + -5398. Round n to 3 decimal places.
-0.014
Let j = 4073836.982 + -4069140. Let a = j + -4560.5. Let i = a + -137. Round i to 2 dps.
-0.52
Let s = 32.87352 - 35.7495. Let p = s - -2.937. What is p rounded to two dps?
0.06
Suppose -28240564 + 404584 = -138*n. What is n rounded to the nearest one hundred thousand?
200000
Let r(t) = -t - 921. Let x = 1 - 1. Let o be r(x). Let q be o/(-8) - (-5)/(-40). Round q to the nearest 10.
120
Let y = 2388 + 2816. Suppose -7*w + 42746 + y = 0. Suppose 6*r - r - w = 0. Round r to the nearest 100.
1400
Let n = -0.0173293 + 251.3603293. Let l = n + -251. Round l to two dps.
0.34
Let c = -5060 - -5059.9997325. What is c rounded to four decimal places?
-0.0003
Let r = 10375 - 3967. Suppose 96 + r = 24*k. What is k rounded to the nearest 100?
300
Let q = -697 + 384. Let s = 315.99 + q. Round s to one decimal place.
3
Let v = 2439.395 + -2407. What is v rounded to the nearest integer?
32
Suppose -r = b + 11, 0 = 2*r + 4*b + 3 + 25. Let j = r - -10. Let u be -1*j*(-415)/10. Round u to the nearest 10.
80
Let a = 117 + -117.0434. Let s = 0.0164 + a. What is s rounded to two dps?
-0.03
Suppose 12*m + 6*m + 486379367 = -104866633. What is m rounded to the nearest one hundred thousand?
-32800000
Suppose -n + 10*n = 729. Let y = 78 - n. Let h be (-3551 - -11)*(-2000)/y. Round h to the nearest one hundred thousand.
-2400000
Let i = 165393811.8 - -532221120.2. Let c = 697615227.000311 - i. Let u = c - 295. Round u to five decimal places.
0.00031
Let v = 476.0145 - 0.0145. Let l = 475.9774 - v. Round l to one decimal place.
0
Let b = -3.8943 + -0.621. Round b to 2 dps.
-4.52
Suppose 0 = 5*o - p - 172600005, 2*p = 5*o - 3*o - 69040010. Suppose -249*q - o = -253*q. Round q to the nearest 1000000.
9000000
Let g = -8.26 - 0.94. Let v = 0.132 - -9.0532. Let u = v + g. Round u to three dps.
-0.015
Suppose -2*s - 6*m + 2*m = -108, 3*m + 270 = 5*s. Let q(u) = -57*u**2 - 14*u - 12. Let w be q(-1). Let b = w + s. Round b to 1 decimal place.
-1
Let l = 76 + 45. Let y = l - 119.844. What is y rounded to one decimal place?
1.2
Let g = 1.52915 - -0.07275. What is g rounded to 1 decimal place?
1.6
Let p = 9016.99999815 + -9017. Round p to six dps.
-0.000002
Let u = 165 + -29. Let k = u + 1096. Let v = 2412 - k. What is v rounded to the nearest one hundred?
1200
Let a = -58423.9 + 56097. Round a to the nearest one hundred.
-2300
Let z be 8 + -8 + -1 + -50999. Let l be z/(-9 - 23448/(-2608)). What is l rounded to the nearest 100000?
5500000
Let y = -42995978 - -201285978. What is y rounded to the nearest one million?
158000000
Let r = 17308.79928761 + -17308.8. Round r to 5 dps.
-0.00071
Let n = -42 + 56. Let d = 8.8 - n. Let c = d - -5.3. Round c to 0 dps.
0
Let l = 17.44 - 17.439504. Round l to five dps.
0.0005
Let o = -2086.00003339 - -2086. What is o rounded to six dps?
-0.000033
Let q(c) = -197015*c - 380. Let b be q(-12). Round b to the nearest 1000000.
2000000
Let m = -6060 + 8801. Let d = 2741.01273 - m. Round d to 2 dps.
0.01
Let p = 2623.9999517 + -2624. Round p to 6 decimal places.
-0.000048
Let n(p) = 167188*p**2 - p - 4. Let q be n(4). Suppose -46*y = -45*y + q. What is y rounded to the nearest one hundred thousand?
-2700000
Let s = -647.22 + 9.22. Let x = 637.9999286 + s. Round x to six dps.
-0.000071
Let n = -29327 + 29321.0401. Round n to two dps.
-5.96
Let n = 3940 + -3940.000008796. What is n rounded to seven dps?
-0.0000088
Let i = -1.35 - 0.25. Let l = -1.16 + i. Let w = -0.56 - l. Round w to one dp.
2.2
Let s = 5.912 + -5.9091736. What is s rounded to 4 decimal places?
0.0028
Let g be -3 + (-12)/(-3) + -1 + 8125. Let k be (0 + g)/((-14396)/2880 - -5). What is k rounded to the nearest one million?
6000000
Suppose 82*a + 38*a - 125506224 - 756637776 = 0. Round a to the nearest one million.
7000000
Let j = 155902 + -155902.470315. Let u = -116 - -116.47. Let h = u + j. What is h rounded to 5 dps?
-0.00032
Let i = -2634 + 2653.57. Let z = 251.4 - 272. Let g = z + i. Round g to one decimal place.
-1
Let g = 2046.6 - -117.6. Round g to the nearest ten.
2160
Let p = -1137959 - -2008959. Let i be p*(3/7 - 4/(-7)). What is i rounded to the nearest ten thousand?
870000
Let l = -1045 + 1045.00010348. Round l to five dps.
0.0001
Let l = 10.131 - 16.071. Round l to the nearest 10.
-10
Let a = 285677471 - 285677416.99999952. Let t = 51 + 3. Let r = a - t. Round r to 7 dps.
0.0000005
Let b be 2/(-16) + (-804887222)/(-4016). Round b to the nearest 10000.
200000
Let c = -0.07 + 17.97. Let a = 4.4 - -9.3. Let j = a - c. What is j rounded to 0 decimal places?
-4
Let n = 12131523 - 2625723. Round n to the nearest 1000000.
10000000
Suppose -4*f - 4*b - 18 = -3*f, -74 = 5*f + 4*b. Let a be (2640/56)/((-16)/f + -1). What is a rounded to the nearest 100?
300
Let g = 1.57 + -1.6084. Let s = 0.040472 + g. Round s to four decimal places.
0.0021
Suppose 189625976 = 39*y + 1485985976. Round y to the nearest 1000000.
-33000000
Suppose -3*j = 5*q - 52674, -4*q = 4*j - 54475 - 15757. Round j to the nearest one thousand.
18000
Let a = 7 - 6.718. Let g = -0.17 - a. Round g to 2 decimal places.
-0.45
Let q be ((-32)/(-5))/((-12)/11910). What is q rounded to the nearest 100?
-6400
Let m(h) = -23*h**2 + 4*h + 5. Let y(d) = -11*d + 27. Let k be y(2). Let c be m(k). What is c rounded to the nearest one hundred?
-600
Let d(c) = c**3 - c**2 + 4. Let p be d(0). Suppose p*r + 720000 = r. What is r rounded to the nearest one hundred thousand?
-200000
Let q = -25.506 - -25.432889. What is q rounded to 3 dps?
-0.073
Let n(j) = 448*j**2 + 40*j - 748. Let f be n(-41). What is f rounded to the nearest one hundred thousand?
800000
Let r = 271 + -125. Let p = r - 146.0000157. What is p rounded to five dps?
-0.00002
Let i be (-8)/(-12)*-6 - (-5364)/4. Suppose t - 3*k - 1344 = 4*t, 3*t + i = 4*k. Let x = t - -277. Round x to the nearest 100.
-200
Let g = 16.9540081653 + -16.954. Round g to 7 dps.
0.0000082
Let v = -2555 + 2554.201. Round v to zero decimal places.
-1
Let p = 5897.997615661 + -5421.99761543. Let o = p - 476. What is o rounded to seven dps?
0.0000002
Suppose 4*b - 22*b + 126 = 0. Suppose 9*d - 2480 = b*d. Round d to the nearest one thousand.
1000
Let l be 2338052/(-5) - (-2)/5. Let n = l + 731488. Suppose -5*s = n - 83878. What is s rounded to the nearest ten thousand?
-40000
Suppose 6*h - 11*h + 15 = 0. Suppose 0 = h*w - 327 + 1083. Let i = w - -444. Round i to the nearest 10.
190
Let y = -10.942054 + 10.963. Round y to 4 dps.
0.0209
Let w(b) = 101*b**3 + 33*b**2 - 114*b - 40. Let u be w(-35). Round u to the nearest 100000.
-4300000
Suppose -g - 3*g + 12 = 0. Let p(r) = 48 - 39 - 1366668*r + 0 - 5. Let k be p(g). What is k rounded to the nearest 1000000?
-4000000
Let t = 95 + -95.09. Let s = -446.9 - -446.80995. Let c = t - s. Round c to four decimal places.
0.0001
Suppose -3*g - 36 + 33 = 0, 0 = 3*z - 5*g - 88676. Let k = z + -142757. What is k rounded to the nearest 10000?
-110000
Let g = -3.13 + 3.1298351. Round g to six decimal places.
-0.000165
Let n = -3186.33 + 3114. Let p = -72 - n. Let q = -0.59 + p. What is q rounded to one decimal place?
-0.3
Let a = -0.03735646 + 65.03661646. Let x = 65.67 - 0.67. Let g = x - a. Round g to four decimal places.
0.0007
Let t = -30.45 + -3.25. Let z = t + 33.6859. Round z to three decimal places.
-0.014
Let q = 907 + -451. Let y = 457.039 - q. What is y rounded to 2 dps?
1.04
Let c = -959 + 426. Let l = 533.000569 + c. What is l rounded to five dps?
0.00057
Let b = -50 + 34. Let w = -12 - b. Suppose 0 = -4*q - i + 4080003, -1101379 = w*q - i - 5181376. Round q to the nearest 100000.
1000000
Let p = -9954 - -10434.02. What is p rounded to the nearest 10?
480
Let h = 16328 + -17032.9. What is h rounded to the nearest ten?
-700
Let x = -20990 + 20990.0995. Round x to 3 decimal places.
0.1
Suppose -n + 12 = 3*n, 3 = -3*l - 4*n. Let b be l + -1 - (7 + -707). What is b rounded to the nearest one hundred?
700
Suppose 3*t - 2*t = -761397. Let k = t - -350397. What is k rounded to the nearest ten thousand?
-410000
Let q = -0.073936 - 37.435064. Let c = q + -0.091. What is c rounded to 0 dps?
-38
Let y be 2/5 - 894/(-4)*(-609624)/(-90). Round y to the nearest ten | {
"pile_set_name": "DM Mathematics"
} |
mon denominator of w and 10/(-24)*(19 + 25).
12
Suppose -2*f - 3*d = 5403, 0 = -4*f - 5*d - 6573 - 4238. Find the common denominator of (f/70)/9 + 1 and 29/23.
230
Let h be -4*(9/(-3))/3 - 13. What is the common denominator of -93/28 and ((-55)/h)/(180/135)?
84
Suppose -11*d + 0 = -0. Suppose -4*y = 3*i + 213, 0 = -y - 2*i - d*i - 52. Calculate the common denominator of -7/12 and ((-206)/y)/(10/15).
36
Let l = -219823/24 - -9158. Calculate the common denominator of (-1 - 182/132) + (810/(-36) - -24) and l.
264
Let p = -1254 + 2604. Calculate the least common multiple of 24 and p.
5400
Let u = 2307325/256 - 9013. Find the common denominator of u and -11/36.
2304
Let c = -126322 - -237193. Let k be (-6)/(-2) - c/(-61290). Let u = 172/227 + k. Calculate the common denominator of u and -47/4.
60
Suppose -70 = -5*v + 5*a - 20, 2*a - 12 = -2*v. Let o be (-2 + (2 - 2))/(-1). Suppose 0 = 5*x - 82 + o. What is the smallest common multiple of x and v?
16
What is the common denominator of -61/145 and ((-97)/29 - -3)*144/(-315)?
1015
Calculate the smallest common multiple of 16 and (18*7)/((-225)/(-300)).
336
Let f be 3 - ((-1)/(-1) + 2 + 0). Suppose -5*r = -25, 0 = -f*o + 5*o + 2*r - 5. What is the common denominator of 70/33 and 37/(-3) + o - (-9 + 6)?
33
Let y(c) = 5*c + 43. Let n be y(-9). Find the common denominator of (-4)/(-8) + 0 - -2 and n + ((-4)/(-6))/((-21)/(-9)).
14
Let v be -3 + (-30)/12*1*-2. Suppose -v*o + 14 = 24. What is the common denominator of -39/10 and (-1)/(-16)*(25/o - 18)?
80
Calculate the least common multiple of 168 and ((-1862)/56 - -7)*-24.
2520
Suppose -37*l + 4*l = -52998. What is the least common multiple of 6 and l?
4818
Calculate the lowest common multiple of 30/3 + 6824*(-1)/(-4) and 780.
8580
Let v = 17193462479/1132751718 + -4900/372861. Let p = 2/1519 + v. Calculate the common denominator of -131/6 and p.
6
Let f = 9137/4 + -1124005/492. What is the common denominator of f and 137/66?
2706
Let q = 55889 - 838403/15. Let h = -406039/36 + 11283. Calculate the common denominator of q and h.
180
Let t(g) = 3*g - 4. Let d be ((-3)/(9/8))/((-19)/57). Suppose 0 = -d*w + 36 + 44. Calculate the lowest common multiple of w and t(3).
10
Let z(h) = -31*h + 679. Calculate the lowest common multiple of z(21) and 58.
812
Let a(v) = -v**2 - 1. Let t(j) = -12*j**2 + j. Let y(o) = 6*a(o) - t(o). What is the lowest common multiple of y(3) and 30?
90
Let y(r) = 273 - 194 + 16*r - 15*r. Calculate the least common multiple of 60 and y(11).
180
Suppose -12 = -3*o, q - 26 + 3 = -2*o. Let r = 92 - 56. What is the smallest common multiple of r and q?
180
Let v be (20/(-12) - 4)*-9. Let h = v + -49. Suppose -35 = -h*q + 35. Calculate the least common multiple of 5 and q.
35
Let l = -38 + 90. Let h = l + -38. What is the smallest common multiple of 158 and h?
1106
Let u(y) = 84 - y**2 + 20*y + 98 + 2*y - 273. Calculate the lowest common multiple of 264 and u(8).
1848
Let z = 4565 + -3690. What is the smallest common multiple of 4 and z?
3500
Suppose -d - 4*u = -25, -4*d + 3*u = -67 - 109. Suppose 3*c = 2*p - d, 5*p + 0*p = -3*c + 113. What is the lowest common multiple of p and 10?
110
Calculate the common denominator of ((-9)/((-144)/(-142)))/((-3)/(-2)) and (-116)/(-754) + 1382/312.
12
Suppose d + 1582 = 130*y - 129*y, -1588 = -y + 2*d. What is the least common multiple of y and 2364?
4728
Let w be (6 + (-2 - (-18214)/480))*-398. Let i = w + 16694. What is the common denominator of 49/12 and i?
120
Let j(c) = -5*c - 35. Let g be j(-14). Suppose 0 = 3*n - 13 - g. Calculate the least common multiple of 3 - -4*(-1)/(-2) and n.
80
Let f be (2 - 1) + 0 + (-4128)/3. What is the common denominator of f/(-308) - 15/3 and -75/56?
56
What is the common denominator of 5 + ((-46562)/48 - -9)*(-1)/(-190) and 7/54?
8208
Let d be ((-44)/6)/(0 - (-56)/(-3924)). Let q = 57013/112 - d. Let r = 20040 + -761417/38. Find the common denominator of r and q.
304
Suppose 0 = 5*c + 2*u - 7*u - 60, c - 32 = -3*u. Suppose 0*f - 5*f = -z - c, -f = 2*z + 1. Find the common denominator of (-70)/16*(-1)/(-30)*f and 67/22.
176
Let n = 15345 - 14834. What is the lowest common multiple of n and 56?
4088
Let r(f) = 10 - 4*f**2 + 2*f + 14 - 33 + 27*f**3. Let t be r(7). Let c = t - 290283/32. Find the common denominator of -85/14 and c.
224
Let g(n) = 17*n**3 - n**2. Suppose -15*p - 20 = 5*p. What is the lowest common multiple of -5 - 2/p - (-15)/1 and g(1)?
48
Suppose -18*c + 14*c = -8. What is the common denominator of 67/10 and ((-141)/(-35) - 2) + c/(-1)?
70
Let t = -552 - -872. Suppose 0 = -f, -4*c + 6*f = 7*f - t. What is the lowest common multiple of 16 and c?
80
Let y(k) = -k**3 - 2*k**2 + 50*k - 11. Let c be y(6). Let w(i) = 18*i**3 + i**2 - i + 2. Calculate the least common multiple of 92 and w(c).
460
Let g be (-10605)/18*(-6)/38980. Let z = g - 1144400693/70164. Let a = z + 16315. What is the common denominator of a and 15/7?
126
Let i = -3 - -24. Let s(q) = 23*q + 68. Let f be s(-4). What is the smallest common multiple of (f/(-30))/((-4)/(-30)) and i?
42
Let x be (1 - 3)*4/8. What is the common denominator of ((-18)/80)/(-6*(-6)/984) and 46/(-100)*(-3 + x)?
100
Let b(s) = 20*s - 2. Let n be b(-8). Let m be n*((-5)/2)/(-5). Let i = m + 121. What is the smallest common multiple of 68 and i?
680
Let o = 962 - 940. Calculate the lowest common multiple of 1528 and o.
16808
Let u be (-24)/56 + 405/(-35). What is the least common multiple of (-13)/(455/(-270)) - u/42 and 381?
3048
Let m(c) = 24*c**3 + 15*c**2 + 15*c - 30. What is the lowest common multiple of m(2) and 108?
756
Let y(t) = 391*t + 1219. Calculate the smallest common multiple of y(11) and 840.
38640
Suppose 42*c - 115*c + 3420 = -54*c. What is the least common multiple of 100 and c?
900
Let r(q) = 10*q - 8. Suppose -f = -2*g + 22, -4 = -3*f + 2. What is the least common multiple of r(g) and 32?
224
Let x be (-86)/(-301) - (-1 - (-5190)/(-112)). Let z = x + -10039/216. Find the common denominator of z and 80/21.
189
Suppose -u - 4*s + 257 = 0, -2 + 1 = s. What is the common denominator of 753/u - (-36)/(-27) and 45/7?
203
Let a = 6690/7 - 60700/63. Calculate the common denominator of a and 7048/648 - 70/7.
81
Suppose -8*d + 3*d + 1325 = 5*o, -4*o = -3*d + 788. Calculate the common denominator of -101/2 and ((-172)/d)/((-10)/30).
22
Suppose -22*w - 3053 = -24*w - h, -4*w = -3*h - 6101. Let n = 6103/4 - w. Let v = -1646 - -59213/36. Calculate the common denominator of v and n.
36
Suppose 0 = 170*p - 190*p + 4560. Calculate the smallest common multiple of p and 19.
228
Suppose 6*n + 3837 = 7722 - 3837. Let c(d) = -d**2 - 9*d + 1. Let i = -1 + -7. Calculate the least common multiple of c(i) and n.
72
Let r = -90 - -95. Suppose 5*u + 433 = 4*i, i - 6*u = -8*u + 118. What is the lowest common multiple of i and r?
560
Let k be 2 + (-6 - -4) + (-64)/(-4). Let h(i) = -i**3 + 15*i**2 + 16*i + 8. Calculate the lowest common multiple of 2 and h(k).
8
Let m(c) be the second derivative of c**3/3 - 7*c**2 + 17*c. Let w be m(9). Suppose 0 = 3*d + w - 10. What is the least common multiple of 18 and d?
18
Let i be 0 + 14 + 3/(3 - 6). What is the lowest common multiple of 24 and 3*i - (3 + -3)*1?
312
Let q = 104 - 70. Let t = 76 - q. What is the common denominator of (1 + 669/t)*(-1)/(-3) and 19/2?
14
What is the lowest common multiple of ((-39)/(-12))/((-3)/(-204)) and 2?
442
Let x(d) = d**3 - 6*d**2 - 4*d + 22. Let i be -4 - (6/2 - 1). Calculate the least common multiple of (-130)/i + 2/6 and x(8).
1298
Let j = 65 - 45. Suppose -69*g = -67*g - 150. Let k = g - 68. What is the lowest common multiple of k and j?
140
Let q = -1998/13 - -19057/130. Find the common denominator of q and (-28)/49 + 16857/15498.
1230
Let p = -4/873 - 2518/873. Find the common denominator of p and -47/792.
792
Calculate the common denominator of 139/140 and ((-4)/(-16)*-6 - 8)/(-18 - -4).
140
Find the common denominator of 138/(-46) - 26/(-24) and -27/452.
1356
Suppose 2*s - 41 + 1 = 0. Let k = -304 + 314. What is the smallest common multiple of ((-1456)/(-130))/(4/k) and s?
140
What is the common denominator of (-2 + -2)/24*-61 and 4/(-6) - ((-477)/90 - 1)?
30
Let y = -241 + 244. Suppose -246 = -y*b + 450. Calculate the smallest common multiple o | {
"pile_set_name": "DM Mathematics"
} |
ommon multiple of 432 and 9.
432
Calculate the least common multiple of 48 and 20.
240
Calculate the smallest common multiple of 25 and 4975.
4975
Calculate the common denominator of -47/57 and -93/190.
570
Find the common denominator of 24/25 and -57/55.
275
Calculate the common denominator of 53/738 and -11/16.
5904
What is the least common multiple of 56 and 77?
616
What is the lowest common multiple of 308 and 616?
616
Find the common denominator of -81/6830 and 43/115.
157090
What is the smallest common multiple of 5 and 10?
10
Find the common denominator of 83/70 and 77/6.
210
What is the lowest common multiple of 10 and 148?
740
Calculate the lowest common multiple of 2706 and 410.
13530
Find the common denominator of 57/602 and -21/86.
602
Calculate the smallest common multiple of 91 and 78.
546
Calculate the lowest common multiple of 642 and 20.
6420
Calculate the least common multiple of 24 and 132.
264
Calculate the least common multiple of 66 and 352.
1056
Calculate the lowest common multiple of 3648 and 608.
3648
What is the lowest common multiple of 9 and 144?
144
What is the common denominator of 27/20 and -5/108?
540
Calculate the least common multiple of 522 and 72.
2088
What is the least common multiple of 6 and 1229?
7374
What is the smallest common multiple of 2356 and 76?
2356
What is the common denominator of 29/2 and 43/224?
224
Calculate the smallest common multiple of 930 and 186.
930
Calculate the lowest common multiple of 60 and 84.
420
What is the lowest common multiple of 954 and 12?
1908
Calculate the lowest common multiple of 1610 and 12.
9660
Calculate the smallest common multiple of 232 and 8.
232
What is the smallest common multiple of 548 and 137?
548
What is the common denominator of -59/1300 and -19/35?
9100
What is the least common multiple of 1472 and 6?
4416
What is the common denominator of 13/24 and 109/180?
360
Calculate the common denominator of 42/379 and -101/4.
1516
What is the least common multiple of 1473 and 10?
14730
Calculate the lowest common multiple of 10 and 4.
20
Calculate the least common multiple of 416 and 728.
2912
Calculate the common denominator of -123/308 and 83/92.
7084
Find the common denominator of -25/2768 and 43/8.
2768
What is the smallest common multiple of 63 and 30?
630
What is the common denominator of -57/2570 and 53/2056?
10280
What is the least common multiple of 800 and 1100?
8800
Calculate the lowest common multiple of 66 and 22.
66
What is the common denominator of -57/134 and -31/38?
2546
Find the common denominator of 51/83 and -3/2905.
2905
What is the common denominator of -21/19 and -39/38?
38
What is the smallest common multiple of 72 and 120?
360
What is the common denominator of 61/9 and 38/39?
117
Calculate the common denominator of 21/22 and -95/1424.
15664
What is the common denominator of -5/696 and -49/116?
696
Find the common denominator of -31/20 and 57/5.
20
What is the common denominator of -67/78 and 59/104?
312
What is the lowest common multiple of 30 and 45?
90
Find the common denominator of 17/32 and 41/476.
3808
Calculate the least common multiple of 160 and 220.
1760
What is the common denominator of -149/36 and -47/20?
180
Calculate the smallest common multiple of 5491 and 2312.
43928
Calculate the smallest common multiple of 476 and 51.
1428
Find the common denominator of -121/90 and -5/24.
360
Calculate the common denominator of -17/520 and 12/65.
520
Find the common denominator of 37/120 and 32/35.
840
Calculate the common denominator of -26/847 and 137/462.
5082
Calculate the smallest common multiple of 13295 and 5.
13295
What is the smallest common multiple of 169 and 2?
338
What is the least common multiple of 450 and 198?
4950
What is the least common multiple of 27 and 21?
189
What is the least common multiple of 108 and 1200?
10800
Calculate the common denominator of 65/16 and 77/1084.
4336
Calculate the common denominator of -5/768 and 103/320.
3840
What is the common denominator of 13/298 and 41/22?
3278
What is the common denominator of -68/15 and 45/2?
30
Calculate the lowest common multiple of 16 and 60.
240
What is the common denominator of 5/19424 and -149/12?
58272
Find the common denominator of 55/21 and -67/273.
273
What is the lowest common multiple of 2 and 146?
146
What is the common denominator of -41/100 and 23/24?
600
What is the lowest common multiple of 8 and 326?
1304
What is the least common multiple of 22 and 4276?
47036
What is the lowest common multiple of 93 and 7?
651
Calculate the common denominator of 97/126 and 103/210.
630
Calculate the least common multiple of 52 and 40.
520
Find the common denominator of 43/3969 and -50/39.
51597
Calculate the common denominator of -73/196 and -91/32.
1568
What is the common denominator of -131/132 and -43/3300?
3300
Calculate the common denominator of 107/24 and 71/296.
888
What is the lowest common multiple of 3402 and 18?
3402
What is the lowest common multiple of 30 and 615?
1230
What is the least common multiple of 5468 and 5?
27340
Calculate the smallest common multiple of 21 and 3774.
26418
Calculate the least common multiple of 6 and 6.
6
Calculate the smallest common multiple of 225 and 3.
225
Calculate the least common multiple of 226 and 80.
9040
Find the common denominator of 113/264 and 25/132.
264
Find the common denominator of 137/18 and 95/16.
144
What is the common denominator of 37/786 and -71/66?
8646
Calculate the common denominator of -79/6 and -3/16.
48
What is the least common multiple of 957 and 3190?
9570
What is the lowest common multiple of 60 and 96?
480
What is the common denominator of -157/264 and -89/66?
264
What is the least common multiple of 4104 and 4?
4104
Calculate the smallest common multiple of 6 and 2412.
2412
What is the smallest common multiple of 20822 and 1?
20822
What is the smallest common multiple of 659 and 5?
3295
Find the common denominator of -95/4 and -63/142.
284
What is the common denominator of -31/90 and 45/8?
360
What is the least common multiple of 5346 and 378?
37422
Calculate the common denominator of -85/6 and 61/102.
102
Find the common denominator of 119/36 and 81/26.
468
Calculate the common denominator of 121/40 and 23/668.
6680
Find the common denominator of 91/7704 and -145/42.
53928
What is the common denominator of 101/3090 and 26/3?
3090
What is the least common multiple of 15 and 1489?
22335
Calculate the smallest common multiple of 11 and 193.
2123
What is the least common multiple of 42 and 516?
3612
What is the smallest common multiple of 111 and 111?
111
Calculate the common denominator of -89/154 and -21/506.
3542
Calculate the lowest common multiple of 114 and 48.
912
Find the common denominator of 7/15 and 19/18.
90
What is the common denominator of 14/249 and 131/156?
12948
Calculate the lowest common multiple of 1203 and 20.
24060
What is the least common multiple of 996 and 4?
996
Find the common denominator of 51/872 and 33/28.
6104
Calculate the common denominator of -89/12 and 81/22.
132
Calculate the lowest common multiple of 88 and 976.
10736
Calculate the common denominator of 137/30 and -3/734.
11010
Calculate the common denominator of -73/2178 and -40/99.
2178
Find the common denominator of 115/1734 and -157/204.
3468
What is the common denominator of 52/11 and 37/151?
1661
Calculate the smallest common multiple of 400 and 70.
2800
Calculate the smallest common multiple of 99 and 33.
99
What is the common denominator of -109/5456 and -53/24?
16368
What is the least common multiple of 56 and 88?
616
Calculate the smallest common multiple of 80 and 128.
640
Calculate the common denominator of -93/8 and -5/31.
248
What is the least common multiple of 35 and 140?
140
What is the common denominator of -29/9 and -121/312?
936
Calculate the common denominator of -23/112 and 53/968.
13552
What is the common denominator of 35/16 and -1/6238?
49904
Calculate the lowest common multiple of 106 and 22.
1166
Calculate the common denominator of -79/714 and 151/84.
1428
Find the common denominator of 17/75 and -32/35.
525
Find the common denominator of -17/44 and 45/292.
3212
Calculate the common denominator of -191/3420 and 53/1368.
6840
Find the common denominator of -5/4209 and -67/549.
| {
"pile_set_name": "DM Mathematics"
} |
) = -r**2. Calculate s(h(b)).
-3*b**2
Let g(s) = 2*s - 36. Let m(l) = 2*l**2. Give m(g(h)).
8*h**2 - 288*h + 2592
Let o(w) = 3*w. Let h(y) be the second derivative of -5*y**4/12 - 6*y. Give h(o(g)).
-45*g**2
Let v(h) be the second derivative of h + 0 + 0*h**2 + 0*h**3 + 5/12*h**4. Let o(g) = -2*g. What is v(o(i))?
20*i**2
Let t(a) = -2*a. Let h(s) = 5*s**2 + 3*s - 3. Let b(n) = -4*n**2 - 2*n + 2. Let w(c) = -6*b(c) - 4*h(c). Calculate w(t(o)).
16*o**2
Let x = -6 - -16. Let k(q) = -2*q - 34. Let z be k(-18). Let d(l) = 22*l**z - x*l**2 - 8*l**2. Let b(n) = -3*n**2. Calculate d(b(t)).
36*t**4
Let h(d) = 2*d**2. Let r(o) = 66*o**2. Give r(h(l)).
264*l**4
Let s(m) = 2*m - 6. Let b(f) = 4*f - 11. Let h(c) = -6*b(c) + 11*s(c). Let u(q) = -3*q. Determine h(u(i)).
6*i
Let t(w) = -w - 3. Let o(h) = -2. Let x(m) = 3*o(m) - 2*t(m). Let c(k) be the first derivative of k**2 - 3 + 1 - 1. What is x(c(s))?
4*s
Let m(k) = -90*k**2. Let l(o) = o - 21. Give m(l(s)).
-90*s**2 + 3780*s - 39690
Let v(n) = n**2 - 2*n**2 + 4*n**2. Suppose 4*p - 9 = 2*l + 7, 2*l + 12 = 2*p. Let y(m) = 1 - 1 + p*m. Give v(y(d)).
12*d**2
Let a(x) = 77*x**2. Let g(i) = -9*i**2. Determine g(a(w)).
-53361*w**4
Let j(b) = -168*b - 1. Let k(a) = 6*a. Determine k(j(o)).
-1008*o - 6
Let s(a) = 8*a**2. Let v(o) = -o**2 - o. Let j(g) = -10*g**2 - 3*g. Let m(n) = j(n) - 3*v(n). Let i(h) = 7*m(h) + 6*s(h). Let c(z) = -z. Calculate i(c(l)).
-l**2
Let d(w) = -11*w. Let t(s) = -44*s. Let u(i) = 9*d(i) - 2*t(i). Let o(x) = -4*x. Calculate u(o(l)).
44*l
Let m(q) = -3*q + 5*q + 8*q. Let t(r) = -3*r**2. What is m(t(b))?
-30*b**2
Let z(k) = -77*k**2. Let b(m) = -m. Give z(b(u)).
-77*u**2
Let t(h) be the third derivative of -h**5/60 - 2*h**2 - 3*h. Let l(z) = -44*z. Determine l(t(g)).
44*g**2
Let a(m) = -m - 605. Let x(o) = -2*o**2. Calculate a(x(c)).
2*c**2 - 605
Let l(n) = 10*n**2 + 15. Let y(f) = 2*f**2. Give y(l(z)).
200*z**4 + 600*z**2 + 450
Let g be 4/(-2)*3/(-2). Suppose 0 = -2*t + 7 - 3. Let h(y) = g*y**2 - 3*y**2 - y**t. Let a(s) = -s. Calculate h(a(u)).
-u**2
Let j be 4/(-1) + 0 + 4. Let v(o) be the third derivative of j + 0*o + 1/12*o**4 + 0*o**3 + o**2. Let m(l) = 2*l. What is v(m(b))?
4*b
Let s(d) = -d + 10. Let a(l) = 25*l**2 + 2*l. What is s(a(t))?
-25*t**2 - 2*t + 10
Let y be -2 + ((-12)/(-4) - -1). Let q(m) = -3*m**2 + 0*m**2 + 7*m**2 - 2*m**y. Let h(j) = 4*j**2. Calculate q(h(r)).
32*r**4
Let r(s) = -2*s**2. Suppose -c = c - 4. Let m(d) = 0*d**2 + 0*d**2 - 3*d**2 - 2*d**c. What is r(m(a))?
-50*a**4
Let f(x) = x**2 + 0*x**2 - 2*x**2. Let r(c) be the first derivative of c**2 - 5. Give r(f(h)).
-2*h**2
Let y(u) = -29*u**2 - 3*u. Let l(d) = 57*d**2 + 5*d. Let h(t) = -3*l(t) - 5*y(t). Let b(i) = -i. Give b(h(c)).
26*c**2
Let g(s) = -10*s - 14. Let r(u) = 2*u + 3. Let c(x) = 3*g(x) + 14*r(x). Let l(z) = -6 - 6 + 12 - 3*z. What is l(c(f))?
6*f
Let t(s) = 2*s. Let i = -3 + 4. Let y(u) = u**2 + 2*u - 1. Let w be y(i). Let k(h) = h**2 - 6*h**2 + w*h**2. What is k(t(p))?
-12*p**2
Let y(z) = z**2. Let t(n) = 18*n**2. Let s(a) = -t(a) + 15*y(a). Let c(k) be the first derivative of -k**3/3 + 3. Determine s(c(h)).
-3*h**4
Let w(u) = 56*u. Let x(b) = 8*b**2. What is x(w(f))?
25088*f**2
Let m(b) = -5*b + 3. Let l(k) = 6*k - 4. Let q(w) = 3*l(w) + 4*m(w). Let z(n) = -1 - 2*n**2 + 1. Determine q(z(x)).
4*x**2
Let j(q) = 9*q. Let r(d) = -6*d. Calculate j(r(u)).
-54*u
Let i(g) = 2*g**2. Suppose 20 = a + 3*a. Suppose -19 = -a*o + 6. Let w(r) = -o*r - r + r + 2*r. Determine i(w(s)).
18*s**2
Suppose -79 = -5*t - 5*d + 91, -9 = -t + 4*d. Let y(p) = -29*p + 2*p**2 + t*p. Let o(h) = 4*h**2. Calculate o(y(k)).
16*k**4
Let u be (-66)/(-14) + 2/7. Let f(r) = 4*r**2 - 5. Let l(h) = -2*h**2 + 2. Let y(p) = u*l(p) + 2*f(p). Let t(q) = -q**2. Determine t(y(x)).
-4*x**4
Let u(b) = -b + 1861. Let k(o) = 3*o**2. Give u(k(t)).
-3*t**2 + 1861
Let c(f) = -2*f - 3. Let z(a) = -3*a - 5. Let b(l) = 5*c(l) - 3*z(l). Let n(i) be the third derivative of -i**4/12 - i**2. What is b(n(y))?
2*y
Let h(y) = -32*y. Let a(i) = 4*i + 6. What is h(a(o))?
-128*o - 192
Let t(g) be the second derivative of g**6/360 + g**4/12 + 3*g. Let x(b) be the third derivative of t(b). Let r(i) = -i. What is r(x(u))?
-2*u
Let t(a) = a**2. Let n(j) = -7*j**2 + 8*j**2 - 4*j**2. Let h(r) = -n(r) - 6*t(r). Let k(v) = 3*v. Calculate h(k(l)).
-27*l**2
Let g(f) = -7*f. Let s(h) = -6*h. Let m(i) = 4*g(i) - 5*s(i). Let w(j) be the first derivative of -2*j**3/3 - 4. What is m(w(p))?
-4*p**2
Let b(r) = -r. Let v(a) be the third derivative of 5*a**4/24 + 16*a**2. Determine b(v(k)).
-5*k
Suppose -f + 14 = -3*l, 10 + 2 = -3*l. Let p(o) be the first derivative of 0*o - 3 - 1/3*o**3 + 0*o**f. Let q(v) = 2*v. Give p(q(y)).
-4*y**2
Let h(q) = -2*q**2. Let w(y) = 1249*y. Give w(h(t)).
-2498*t**2
Let n(f) = 261*f. Let p(b) = -4*b. Determine p(n(c)).
-1044*c
Let y(m) = 2*m**2 - 3*m - 3. Let s(a) = -2*a**2 + 4*a + 4. Let l(j) = -3*s(j) - 4*y(j). Let p(k) = -10*k. Calculate p(l(c)).
20*c**2
Let f(h) = h**2. Let x(w) = 2102*w. Give f(x(c)).
4418404*c**2
Let p(t) = 6*t**2 - 10*t + 5. Let r(l) = -2*l**2. Give p(r(d)).
24*d**4 + 20*d**2 + 5
Let j be 2/1*5/2. Let y(k) = 0*k**2 - 2*k**2 - 4*k + j*k**2. Let o(r) = 15*r**2 - 21*r. Let t(g) = 4*o(g) - 21*y(g). Let a(u) = -2*u**2. Give a(t(x)).
-18*x**4
Let a(v) = 11*v**2. Let u(m) = 13*m**2 - 7*m**2 - 8*m**2. Calculate u(a(y)).
-242*y**4
Let t(x) = x**2. Let o(z) = -9360*z**2. Calculate o(t(y)).
-9360*y**4
Let j = -3 - -5. Let n(p) be the first derivative of 0*p + j + 1/2*p**2. Let t(a) = -4*a. What is t(n(q))?
-4*q
Let b(r) = -320*r. Let o(q) = 3*q. Calculate o(b(u)).
-960*u
Let y(w) = 178*w**2. Let t(r) = -20*r. Calculate y(t(b)).
71200*b**2
Let i(v) = -v**2. Let o(u) = -u + 3*u - 6*u. Let a(n) = 4*n. Let f(w) = -4*a(w) - 3*o(w). What is i(f(p))?
-16*p**2
Let h = -18 - -18. Let v(s) be the third derivative of 1/12*s**4 + 0*s**3 + 0 + s**2 + h*s. Let q(l) = -l. Calculate v(q(d)).
-2*d
Suppose -5*o + 32 = 27. Let f(l) = -o - l**2 + 1 + 4*l**2. Let w(c) = -3*c**2. Calculate w(f(s)).
-27*s**4
Let j(y) = -2*y. Let m(n) = 58*n - 1. Calculate j(m(i)).
-116*i + 2
Let j = 0 + 4. Let n(d) = -3*d**2 + 5. Let a(p) = -2*p**2 + 4. Let o(c) = j*n(c) - 5*a(c). Let f(r) = 2*r. Give o(f(w)).
-8*w**2
Let b(t) = t**2. Let k(w) be the second derivative of 3*w**3 + w. What is b(k(h))?
324*h**2
Let h(m) be the second derivative of 0*m**3 + 1/12*m**4 + 0 + 0*m**2 - 4*m. Let j(t) be the third derivative of -t**4/8 + t**2. Give h(j(w)).
9*w**2
Let b(c) = c. Let y(l) be the third derivative of -l**4/4 - 8*l**2. Determine y(b(f)).
-6*f
Let w(n) = 29*n**2. Let p(a) = 19*a**2. Calculate w(p(b)).
10469*b**4
Let s(q) be the second derivative of 0 - 1/12*q**4 + 2*q + 0*q**2 + 0*q**3. Let k(x) = -1. Let p(g) = g - 1. Let c(u) = -3*k(u) + 3*p(u). What is c(s(j))?
-3*j**2
Let g(k) = k. Let h(v) = -9*v. Let o(b) = b. Let p(i) = -h(i) - 4*o(i). Determine p(g(t)).
5*t
Let f(u) = 783*u**2. Let z(b) = 3*b**2. Calculate f(z(k)).
7047*k**4
Let q(j) = 20*j**2 + 28*j**2 - 4*j**2. Let x(v) = 2*v. Give x(q(z)).
88*z**2
Let z(b) = -11*b**2. Let j(v) = -v - 20. Determine z(j(y)).
-11*y**2 - 440*y - 4400
Let s(m) = 8 + 7 - 13 - 6*m + 4*m. Let t(g) = g**2 - 5*g + 5. Let d(h) = 5*s(h) - 2*t(h). Let w(b) be the first derivative of -b**2/2 + 1. Calculate w(d(u)).
2*u**2
Let g(l) = 508 + l - 508. Let y(f) = 5*f**2. Give y(g(x)).
5*x**2
Let q(r) = 13*r**2 - 42*r**2 + 16*r**2 + 11*r**2. Let b(h) = 8*h. Let c(o) = -7*o. Let m(t) = t + 1. Let l be m(5). Let i(n) = l*b(n) + 7*c(n). Give q(i(a)).
-2*a**2
Let u(x) = -2*x**2. Let y(h) = 3*h + 0 - 2*h - 1. Let c(k) = k**2 + k - 1. Let v(g) = -c(g) + y(g). Determine u(v(l)).
-2*l**4
Let u(v) = -21*v**2. Let q(z) = 5*z**2 - 8*z**2 + 5*z**2. Calculate q(u(a)).
882*a**4
Let h(o) = o**2 + 584. Let q(c) = c. Calculate q(h(d)).
d**2 + 584
Let y(a) = 2*a**2. Let g(c) = 3*c - 5. What is y(g(o))?
18*o**2 - 60*o + 50
Let p(z) = 4*z**2. Let y(h) = 7*h - 13*h + 4*h. Calculate p(y(x)).
16*x**2
Let v(x) = -2*x. Let k(n) = -8*n**2 + 5*n. Let f(p) = 9*p**2 - 6*p. Let o(h) = 5*f(h) + 6*k(h). Calculate v(o(m)).
6*m**2
Let v(h) be the second derivative of -h**3/3 + 2*h. Let g(x) be the third derivative of 0*x + 0*x**3 - x**2 - 1/30*x**5 + 0 + 0*x**4. What is g(v(i)) | {
"pile_set_name": "DM Mathematics"
} |
months?
51000
How many kilometers are there in 457.3206 millimeters?
0.0004573206
Convert 80493.86ml to litres.
80.49386
How many milliseconds are there in three eighths of a second?
375
How many milliseconds are there in 59742.65 minutes?
3584559000
How many months are there in 11/4 of a millennium?
33000
How many centimeters are there in one sixteenth of a kilometer?
6250
How many centimeters are there in one quarter of a meter?
25
What is 792.0096 days in hours?
19008.2304
Convert 47.266 hours to microseconds.
170157600000
Convert 47721.75 years to centuries.
477.2175
How many decades are there in 0.8102483 centuries?
8.102483
How many millilitres are there in seven halves of a litre?
3500
How many hours are there in 36.235476 microseconds?
0.00000001006541
How many millimeters are there in 246471.9m?
246471900
What is 212091.9 months in years?
17674.325
What is 74/5 of a hour in seconds?
53280
Convert 983.9037 litres to millilitres.
983903.7
What is 6/25 of a millimeter in micrometers?
240
What is 3/16 of a day in seconds?
16200
How many millilitres are there in 53.00915l?
53009.15
How many millilitres are there in 32/5 of a litre?
6400
How many kilograms are there in 1492.157t?
1492157
How many months are there in 32/5 of a millennium?
76800
What is 13/5 of a centimeter in micrometers?
26000
How many seconds are there in ten ninths of a hour?
4000
What is 133.930206 microseconds in days?
0.000000001550118125
Convert 931.5826 kilometers to centimeters.
93158260
Convert 4834.1988 microseconds to days.
0.000000055951375
How many kilometers are there in 835.9947nm?
0.0000000008359947
What is 39209.04 litres in millilitres?
39209040
How many milliseconds are there in 1/20 of a minute?
3000
What is 594.0917 micrograms in kilograms?
0.0000005940917
Convert 826549.2m to nanometers.
826549200000000
Convert 0.6388022 centuries to decades.
6.388022
How many millilitres are there in fifty-three quarters of a litre?
13250
How many millilitres are there in eighty-one quarters of a litre?
20250
What is 0.6922242ml in litres?
0.0006922242
Convert 8135.338 nanometers to millimeters.
0.008135338
What is 143341.74 months in millennia?
11.945145
How many nanometers are there in 1.493812km?
1493812000000
How many kilograms are there in 8/25 of a tonne?
320
What is 3/7 of a week in days?
3
What is 61.828445 days in weeks?
8.832635
How many micrometers are there in 3/25 of a millimeter?
120
What is 3/25 of a meter in centimeters?
12
How many nanometers are there in one fifth of a micrometer?
200
How many months are there in 11.2127 decades?
1345.524
How many tonnes are there in 6053.717g?
0.006053717
How many seconds are there in fifty-one halves of a minute?
1530
What is 19/4 of a minute in seconds?
285
Convert 901.7829 millilitres to litres.
0.9017829
What is 67/4 of a day in minutes?
24120
How many millilitres are there in 368.8362 litres?
368836.2
What is 9/10 of a hour in minutes?
54
What is 2/15 of a millennium in months?
1600
How many grams are there in 64/5 of a kilogram?
12800
What is 11/2 of a decade in years?
55
What is 48/5 of a litre in millilitres?
9600
How many kilograms are there in 3/8 of a tonne?
375
What is twenty-one halves of a decade in months?
1260
What is eighteen fifths of a litre in millilitres?
3600
How many centimeters are there in 0.8014721 micrometers?
0.00008014721
What is ninety-five halves of a kilogram in grams?
47500
How many millilitres are there in 3/25 of a litre?
120
What is 70.62449 meters in millimeters?
70624.49
How many tonnes are there in 37502.48kg?
37.50248
How many decades are there in 54/5 of a millennium?
1080
What is 34/5 of a millennium in years?
6800
Convert 0.9024964 millennia to years.
902.4964
How many seconds are there in 45.14214 minutes?
2708.5284
What is 21/2 of a century in years?
1050
How many kilograms are there in five quarters of a tonne?
1250
What is 30.13188 grams in milligrams?
30131.88
What is 3/40 of a milligram in nanograms?
75000
How many micrograms are there in seven halves of a milligram?
3500
What is 707.0643 centimeters in micrometers?
7070643
How many microseconds are there in 69453.01 weeks?
42005180448000000
What is 0.5771624ns in milliseconds?
0.0000005771624
What is 1/10 of a micrometer in nanometers?
100
How many millilitres are there in 21/5 of a litre?
4200
What is one fifth of a week in minutes?
2016
What is eight fifteenths of a decade in months?
64
How many millilitres are there in 0.8063658 litres?
806.3658
How many grams are there in seventy-one fifths of a kilogram?
14200
How many nanograms are there in twenty-one halves of a microgram?
10500
What is 16/15 of a minute in milliseconds?
64000
Convert 43597.89 weeks to seconds.
26368003872
What is seventy-six fifths of a meter in centimeters?
1520
What is 93154.22 kilograms in milligrams?
93154220000
What is 7.994568 months in years?
0.666214
How many micrograms are there in 6/25 of a milligram?
240
What is 32.8646052 nanoseconds in weeks?
0.000000000000054339625
How many milligrams are there in eleven quarters of a gram?
2750
What is 102.3809 centimeters in nanometers?
1023809000
How many micrometers are there in eighteen fifths of a centimeter?
36000
How many micrograms are there in 3/50 of a milligram?
60
Convert 1.059641m to nanometers.
1059641000
What is eighty-one halves of a century in months?
48600
How many months are there in twenty-seven quarters of a decade?
810
How many years are there in 2.6375856 months?
0.2197988
What is five eighths of a day in seconds?
54000
How many decades are there in 6.583711 centuries?
65.83711
Convert 963899.4kg to milligrams.
963899400000
What is 9534.371ml in litres?
9.534371
How many microseconds are there in seven quarters of a millisecond?
1750
What is 3/10 of a kilogram in grams?
300
What is 622317.9 minutes in hours?
10371.965
How many nanometers are there in 835929.9um?
835929900
How many microseconds are there in 6/25 of a millisecond?
240
How many decades are there in sixty-nine halves of a millennium?
3450
How many millimeters are there in one twentieth of a kilometer?
50000
What is 67/4 of a litre in millilitres?
16750
Convert 31497.45ml to litres.
31.49745
How many grams are there in fifteen quarters of a kilogram?
3750
Convert 71.30946 litres to millilitres.
71309.46
What is twenty-six fifths of a tonne in kilograms?
5200
Convert 730.592 milliseconds to seconds.
0.730592
How many millimeters are there in 9111.05 meters?
9111050
How many nanograms are there in 3/10 of a microgram?
300
Convert 76869.414 minutes to days.
53.3815375
What is 17/2 of a kilogram in grams?
8500
What is 5.204131 centuries in millennia?
0.5204131
What is 431043.5 litres in millilitres?
431043500
What is 2135.272 minutes in seconds?
128116.32
How many litres are there in 737.3863 millilitres?
0.7373863
How many micrograms are there in 56.15236t?
56152360000000
What is twenty-seven halves of a kilogram in grams?
13500
What is 0.678066kg in grams?
678.066
What is 1/5 of a milligram in micrograms?
200
How many meters are there in one fifth of a kilometer?
200
How many micrograms are there in 44/5 of a milligram?
8800
What is 3/40 of a litre in millilitres?
75
What is thirty-seven halves of a meter in centimeters?
1850
What is four thirds of a millennium in months?
16000
How many kilometers are there in 0.1630813mm?
0.0000001630813
How many millilitres are there in 5.505411 litres?
5505.411
Convert 30.9725ml to litres.
0.0309725
How many months are there in 29/2 of a year?
174
What is 2448.569l in millilitres?
2448569
What is seventy-seven fifths of a millennium in years?
15400
What is three eighths of a milligram in micrograms?
375
What is 46/5 of a millennium in centuries?
92
What is one tenth of a milligram in nanograms?
100000
How many millilitres are there in twenty-one quarters of a litre?
5250
What is 6/25 of a millennium in years?
240
What is 3/50 of a milligram in nanograms?
60000
What is one quarter of a gram in milligrams?
250
What is 11/8 of a tonne in kilograms?
1375
What is 3352.1229 milliseconds in days?
0.00003879771875
What is 507.0971 hours in nanoseconds?
1825549560000000
How many millilitres are there in three eighths of a litre?
375
Convert 122.3556 micrometers to centimeters.
0. | {
"pile_set_name": "DM Mathematics"
} |
-3*v, -v - 2*v = 3*n - d for n.
1
Let n(u) = -53*u - 308. Let h(s) = 54*s + 308. Let p(q) = -2*h(q) - 3*n(q). Let i be p(-6). Solve -g - 8 = -4*a, -4*a = -i*a + 5*g - 26 for a.
3
Suppose 381*j = -22*j + 2015. Solve 20 = 5*u + j*g, -3*g = -2 - 1 for u.
3
Suppose 4*h = -5*o, h - 3*h - 3*o = 2. Let r be (-12)/(-54) - 852/(-54). Suppose i + 4 = 2*i. Solve h*u - r = -j, -2*u - j + i = -0 for u.
4
Suppose -13 = -4*q - 4*r + r, -5*q = 2*r - 18. Solve 3*i + q*h = i - 10, -i + 3*h = -15 for i.
3
Let h(r) = -7*r - 228. Suppose -w - 3*g + 4 - 22 = 0, -2*w - 3*g = 51. Let j be h(w). Solve j*s = -0*s + 5*o - 1, 5*o = -3*s + 19 for s.
3
Let h be -2 + ((-20)/35)/(14/(-98)). Solve 2*x = -3*c - 10, h*c = -41*x + 37*x - 4 for x.
1
Let k(w) = -w**3 - 11*w**2 + 10*w - 22. Let p be k(-12). Suppose 46 - 166 = -24*v. Solve -g - v*h = -24, g + 8 = -p*g + 5*h for g.
4
Suppose d - 12 = -11, 4*d = -4*h - 164. Let c = h + 47. Solve 2*u = -g, 3 = -5*u + 4*g - c*g for u.
-1
Let y = -20 - -24. Suppose 0 = -73*o + 71*o + 4. Solve 2*k = 3*m - 15, -o*m = -k + y*k + 3 for m.
3
Let w(y) = -y**2 + 12*y - 34. Let v be (-5)/(175/(-217)) - (-1)/(-5). Let t be w(v). Let l = 0 - -3. Solve -l*x - x = 5*b - 10, 0 = -t*x for b.
2
Suppose 5*d - 546 = -576. Let k be (-10*(-1)/d)/(10/(-18)). Solve -3*w = -8*w, k*w + 12 = 3*g for g.
4
Let b be ((-8)/12 - 4602/(-18)) + -7 - 5. Solve 5*x - 4*d - 5 = 0, -x - 238*d - 20 = -b*d for x.
5
Let a(u) = -9*u**3 + u**2 - 3*u + 2. Let k(d) = d**3 - d + 1. Let h(i) = -a(i) - 5*k(i). Let n be h(1). Solve -9 = -5*j - 3*b, 3*j - n = -j - 4*b for j.
3
Let s = -407 - -1394. Suppose -5*l = 972 - s. Solve 5*k = l*g + 32, g - k + 5 + 3 = 0 for g.
-4
Let w be 19893/3839 + (-1)/((-33)/(-6)). Suppose -5*o + 0*o + 20 = 0, 0 = 4*g - 4*o. Solve 2*d + j + 12 = -j, -3 = -g*d + w*j for d.
-3
Suppose 329*r = 327*r - 4*x + 4, -3*r + 14 = -2*x. Solve 2*y - n = 3*y + 2, 5*y - r*n = -19 for y.
-3
Suppose 5*n = -5*r + 10, 0 = -2*n + 248*r - 247*r + 10. Solve n*g + 36 - 48 = 4*v, 5*v = 0 for g.
3
Let b(t) = 2*t**2 + t + 2. Let y be b(-2). Suppose 27 = y*c + c. Solve -d - 2*x + 7*x - 20 = 0, x + 10 = c*d for d.
5
Let n(v) = -v**3 - 15*v**2 - v. Let u = 56 + -71. Let m be n(u). Solve -3*d + m = 0, 2*d + d = -2*p + 5 for p.
-5
Suppose 22*k - 21*k = 140. Suppose -8*y - k = -156. Solve y + 5 = -5*m + 3*b, -2*m - 2*b - 6 = 0 for m.
-2
Let v(p) = p**2 + p - 25. Let l be v(0). Suppose 4*x = 5*u + 113, -4*x + 2 - 39 = u. Let g = l - u. Solve 2*o - 4*j + 6 = g, -2*j = o + 2*o + 1 for o.
-1
Suppose 31*q - 2016 = -q. Suppose -72 = -45*m + q. Solve -3*w = -m*r + 4*r - 3, 15 = 2*w + 5*r for w.
0
Let a be -2*((-9)/2 - -1). Suppose -28 = -52*h + 804. Suppose a*u - h = 3*u. Solve -2*r + 4*c - 4 = -u*r, 5*r = -3*c + 17 for r.
4
Suppose 112 - 52 + 185 = 35*l. Solve -4*p + 4*m - 11 = -l*p, 2*m + 22 = 4*p for p.
5
Let o be (-3 - 1)/((-4)/(-6)). Let k(j) = 7*j - 56. Let y be k(9). Let b = y - o. Solve -4 = -5*m + 3*n + b, 3*n = -12 for m.
1
Let d(n) be the first derivative of n**4/2 + n**3/3 - 2*n**2 - 6*n + 68. Let v be d(2). Solve 0 = -5*a + v*j - 2*j + 37, 5*a - 3*j = 34 for a.
5
Let c be (4 + (-54)/12)*(-11 + 1). Solve 2*x - c*x + l = -11, 0 = 2*x - 4*l + 6 for x.
5
Suppose 3*y + 13 = 3*v + 2*y, 0 = v - y - 3. Solve 2*s - 50*q + 48*q - 8 = 0, s = v*q for s.
5
Let a be 37 + (602/(-98) - (-2)/14). Let c(u) = -u**3 - 3*u**2 + 2*u. Let q be c(-4). Suppose -3*i = -7 - q. Solve -i*v - a = 4*f, -4*v = -3*f - 2*v - 6 for f.
-4
Let w = 2729 + -2714. Solve 3*m = 4*l - 0*l + 9, 4*l - w = -5*m for m.
3
Suppose 5*n + 16*a = 14*a + 252, -2*n - 5*a + 84 = 0. Solve 2*f + 27 = 5*t, -4*t - 50*f + n*f = -22 for t.
5
Let j(a) = a**2 - 3*a + 10. Let v be j(0). Let x be 21 + 2/(v/5). Solve -b = -3, -b - x = 4*o - 3*b for o.
-4
Let r = 5285 + -5285. Solve -2*y + 4 = -r*g + 2*g, 0 = -4*y + g + 13 for y.
3
Let w = -5366 + 5370. Suppose 4 = -4*a, 5*a - 1 = -4*p + p. Let f be (3*2)/(0 + p). Solve -f = o - 5, -w*o = -3*g + 1 for g.
3
Suppose -2 = w - 4. Suppose 0 = -12*m - 2*m. Suppose m*d = 11*d - 44. Solve -3*s = -2*x + 7, -d*x - 4 = -2*s + w for s.
-5
Let s be -156*-1*(-8)/(-16). Let t = s - 78. Solve t = 5*g - a + 11 - 4, -3*g = -3*a - 3 for g.
-2
Let w = -74 + 201. Let v = w + -127. Let s(l) = l**3 + 9*l**2 + 6*l + 4. Let y be s(-3). Solve -4*b + y = 4*k - v*b, 3*k = 4*b - 5 for k.
5
Let p(x) = -2*x**3 - 2*x**2 - x + 1. Let d be p(-1). Suppose 2*t = -4*y - 6, -d*t - 2 - 1 = 3*y. Solve -t*g = -4*n + 17, -4*g + n + 3 = 4 for g.
1
Let a be 6/18*21 - (-14 + -7 + 15). Solve u = -4*q + 6, 1 = 4*q + 5*u - a for q.
1
Let q(h) = 103*h + 209. Let c be q(-2). Solve 5*k + 0*g = g + 19, 9 = -k - c*g for k.
3
Suppose -216 = 2*l + 3*a - 46, 4*l + 3*a = -334. Let x = 80 + l. Let p be (-44)/(-8) - x/(-4). Solve -2*w + p*n - 27 = -0*n, n = 3*w + 8 for w.
-1
Let t be 13/2 + 28/(-56) + -1 + 5. Suppose o + 15 = 6*o. Solve o*c - 2*c = 3*j + t, -c + 2*j = -8 for c.
4
Suppose -2*q = -2*h + 29 - 25, q + 2*h = 10. Solve -q*o = 5*w, 0 = 3*w - 8*o + 6*o - 16 for w.
2
Suppose k = -4*z + 48, 0*k + 252 = 4*k + 4*z. Let n be (-8)/k + 1200/85. Solve -5*f - n = -2*l, -4 = -3*l - f - 0 for l.
2
Suppose -90 = 14*p - 15*p - b, -3*b = p - 98. Suppose 14 = -36*f + p. Solve -s + 3*t + f = -0*s, 0 = s - 5*t - 6 for s.
-4
Let q(k) = 17*k + 310. Let i be q(-18). Solve 4*d + 4*u - i = 0, -5*u + 0*u - 2 = -2*d for d.
1
Suppose -f - 3*i - 11 + 64 = 0, -3*i + 230 = 4*f. Suppose 3*o - f = -2*g, -5*g + 24 = 2*o - 19. Let j = -17 + o. Solve j*q - 8 = -s, 5*q - 5 = 4*q for s.
-2
Let j = -600 + 607. Solve 0 = -o - p - j + 4, 0 = 2*o - p for o.
-1
Suppose -133*b + 976 = -221. Solve -5*x = u - 18, 0 = 3*x + b*u - 11*u - 3 for x.
3
Let u = 35 - 82. Let i = u + 52. Let t(m) = -m**2 + 7*m - 7. Let n be t(i). Solve 0 = -4*h - 3*w + 2*w - 3, 4*h - n*w = -23 for h.
-2
Suppose 0 = -7*b - 5*b - 2556. Let h = -202 - b. Solve -4*k + 27 - 6 = -w, 0 = -4*k - w + h for k.
4
Let b(u) = u**3 + 25*u**2 + 25*u + 24. Let n be b(-24). Let r be (n/(-2))/((-3)/((-21)/28)). Solve -5*d - g - 8 = r, -3*g + 2*g = 3 for d.
-1
Let a = 11831 - 11829. Solve -3*f = a*u - 11, 4*u + 7 = -2*f + 1 for f.
7
Let w = 11 + 157. Let a = w + -163. Solve -s - a*o - 23 + 7 = 0, 5*o = -3*s - 8 for s.
4
Suppose 0 = -6*k + 5 + 7. Suppose -14*d + 13*d - 4 = -3*v, 4*v - k*d - 8 = 0. Solve v = -0*p - 5*p + 2*c - 21, -4 = 2*p - 3*c for p.
-5
Suppose 0 = -15*k - 4*k + 855. Suppose 8*y = -y + k. Let f = 37 + -6. Solve 0 = 3*n + y*p + f, 4*p + p = 5*n - 15 for n.
-2
Suppose -m = 5*v - 6*m - 25, 0 = -3*m - 9. Let f = 92 - 88. Let z be (f/4)/(4/8). Solve z*y + 2 = -v*s - 6, -4*y = s + 7 for y.
-1
Suppose 2*q + 2*i + 487 = -q, -5*q + 4*i = 819. Let f = -161 - q. Solve 2*j - 2 = 2*o, -2*o + o + 1 = -f*j for o.
-3
Suppose -339 - 81 = -102*f - 38*f. Solve 5 = 2*g + 5*i, 4*i = -f*g - 5 + 2 for g.
-5
Let g = -1682 + 1685. Solve -6 + 1 = g*x + s, 2*x - 3*s = -7 for x.
-2
Suppose 3*g - 4*y - 11 = 0, 0*y - 8 = -g - 3*y. Suppose -g*t + 0 = -30. Let x be 6/9 + 20/t. Solve -17 = -3*h + 6*h + 4*a, 0 = x*h + 3*a + 11 for h.
1
Suppose 0 = -69*q + 46*q + 690. Suppose 7*c = 22*c - q. Suppose -3*s = 2*z + 1 + 11, -2*z + 20 = -5*s. Solve 3*r + 2*o = 0, z*r - 16 = c*r - 4*o for r.
-2
Suppose -71 + 517 = 104*n + 30. Solve w + 10 = 5*d - 7, -n*d = -3*w - 18 for d.
3
Suppose 0*m = -3*m + 114. Let o = m + -37. Let j be (-1)/(39/(-36) + o). Solve 5*l = f - 14, 0 = -0*f + 3*f - 5*l - j for f.
-1
Let x = -10661 + 10665. Solve x = -5*g - 4*i, 5*g - 8*g - 2*i - 2 = 0 for g.
0
Let g be (52 + 2)*(5 + 27/(-6)). Suppose g*v - 5 = 22*v. Let l be 0 + 6 - (v + -2). Solve -4*h - 19 = -d, h - l = -3*d + 3*h for d.
-1
Suppose 4*a - 3 = -5*t, -2*a - 17 = -5*t + 4. Let y = t + 2. Let m(w) = -27*w - 200. Let f be m(-8). Solve -4*k + f = 0, -15 = -d - y*k + 2 for d.
-3
Suppose 30 = -2*i + 5*w - 32, -59 = 3*i + w. Let t be (-8)/(-13 - i)*-1*1. Solve 3*d = -t - 2, 1 = -4*h + 3*d for h.
-1
Let z(s) = -s**2 + 22*s - 37. Let y be z(2). Solve 0 = -3*f + y*v - 18, 5*f + 38*v = 33*v - 30 for f.
-6
Let g = -2 + 4. Suppose 223 = -5*f - 4*c + 671, -2*f + 4*c + 168 = 0. Let r = 93 - f. Solve g*h = 4*u - 8, -15 = 5*h + r*u + 5 for h.
-4
Let y = 256 + -262. Let n be (y + 20/3)*6. Solve -3*w + 12 = 3*b, -3*b = -n*w + 2 + 7 for w.
3
Let g be (140/(-90))/(63/(-486)). Solve 3*d + | {
"pile_set_name": "DM Mathematics"
} |
45
How many minutes are there between 2:05 PM and 6:30 PM?
265
What is 675 minutes before 1:12 PM?
1:57 AM
What is 609 minutes after 2:30 PM?
12:39 AM
What is 665 minutes before 12:45 AM?
1:40 PM
What is 538 minutes before 2:55 PM?
5:57 AM
What is 646 minutes after 5:57 PM?
4:43 AM
What is 344 minutes before 9:59 AM?
4:15 AM
What is 102 minutes after 9:36 AM?
11:18 AM
How many minutes are there between 5:15 PM and 10:43 PM?
328
How many minutes are there between 9:46 PM and 12:26 AM?
160
What is 298 minutes after 11:32 PM?
4:30 AM
How many minutes are there between 3:27 PM and 2:06 AM?
639
What is 639 minutes after 1:38 AM?
12:17 PM
What is 60 minutes before 3:11 AM?
2:11 AM
How many minutes are there between 5:02 PM and 1:26 AM?
504
What is 2 minutes after 11:18 PM?
11:20 PM
How many minutes are there between 4:35 PM and 4:44 PM?
9
How many minutes are there between 11:09 AM and 9:48 PM?
639
What is 90 minutes before 3:10 AM?
1:40 AM
How many minutes are there between 12:22 PM and 9:20 PM?
538
What is 20 minutes after 5:39 PM?
5:59 PM
How many minutes are there between 10:17 AM and 6:03 PM?
466
What is 416 minutes after 6:33 AM?
1:29 PM
How many minutes are there between 1:10 AM and 3:34 AM?
144
What is 708 minutes after 10:19 AM?
10:07 PM
What is 328 minutes after 12:22 PM?
5:50 PM
How many minutes are there between 5:40 PM and 2:35 AM?
535
How many minutes are there between 4:23 AM and 11:19 AM?
416
What is 564 minutes after 8:45 AM?
6:09 PM
What is 708 minutes after 7:39 AM?
7:27 PM
How many minutes are there between 10:52 AM and 2:16 PM?
204
What is 699 minutes before 7:16 PM?
7:37 AM
What is 111 minutes before 2:38 AM?
12:47 AM
How many minutes are there between 10:30 PM and 2:30 AM?
240
What is 675 minutes before 12:42 AM?
1:27 PM
What is 327 minutes after 3:02 AM?
8:29 AM
What is 341 minutes after 8:29 AM?
2:10 PM
How many minutes are there between 9:32 PM and 2:56 AM?
324
How many minutes are there between 12:11 AM and 11:41 AM?
690
How many minutes are there between 10:41 AM and 1:28 PM?
167
How many minutes are there between 3:13 PM and 11:24 PM?
491
What is 508 minutes before 6:17 AM?
9:49 PM
How many minutes are there between 3:57 AM and 2:33 PM?
636
What is 546 minutes after 1:06 PM?
10:12 PM
What is 4 minutes after 4:36 AM?
4:40 AM
What is 631 minutes before 9:25 PM?
10:54 AM
How many minutes are there between 12:51 AM and 4:14 AM?
203
What is 310 minutes before 10:36 PM?
5:26 PM
What is 90 minutes after 6:58 AM?
8:28 AM
How many minutes are there between 4:39 AM and 7:45 AM?
186
How many minutes are there between 3:21 PM and 1:45 AM?
624
What is 421 minutes after 1:32 PM?
8:33 PM
How many minutes are there between 7:14 PM and 4:04 AM?
530
How many minutes are there between 3:30 PM and 10:55 PM?
445
How many minutes are there between 4:09 AM and 10:04 AM?
355
How many minutes are there between 11:19 PM and 4:34 AM?
315
How many minutes are there between 4:01 PM and 2:37 AM?
636
What is 4 minutes after 6:23 AM?
6:27 AM
What is 459 minutes after 8:09 PM?
3:48 AM
What is 207 minutes after 9:23 AM?
12:50 PM
How many minutes are there between 7:54 AM and 11:21 AM?
207
How many minutes are there between 11:33 AM and 11:53 AM?
20
How many minutes are there between 9:31 PM and 2:20 AM?
289
What is 292 minutes before 1:35 AM?
8:43 PM
How many minutes are there between 5:36 AM and 10:54 AM?
318
How many minutes are there between 10:24 AM and 2:54 PM?
270
How many minutes are there between 5:32 AM and 4:51 PM?
679
What is 692 minutes before 4:59 AM?
5:27 PM
How many minutes are there between 4:16 PM and 12:50 AM?
514
How many minutes are there between 3:15 PM and 1:12 AM?
597
What is 581 minutes after 4:30 AM?
2:11 PM
What is 251 minutes before 2:01 AM?
9:50 PM
How many minutes are there between 2:44 AM and 7:21 AM?
277
What is 325 minutes before 11:04 AM?
5:39 AM
How many minutes are there between 1:33 PM and 7:59 PM?
386
What is 170 minutes after 11:57 AM?
2:47 PM
How many minutes are there between 8:20 PM and 7:37 AM?
677
What is 394 minutes after 8:51 AM?
3:25 PM
How many minutes are there between 11:25 AM and 7:52 PM?
507
What is 153 minutes before 4:26 PM?
1:53 PM
What is 96 minutes after 1:16 AM?
2:52 AM
How many minutes are there between 3:54 PM and 3:44 AM?
710
How many minutes are there between 12:34 AM and 8:24 AM?
470
What is 236 minutes after 7:46 AM?
11:42 AM
How many minutes are there between 2:35 PM and 4:22 PM?
107
What is 680 minutes before 12:22 PM?
1:02 AM
How many minutes are there between 3:00 AM and 6:22 AM?
202
What is 631 minutes before 11:06 PM?
12:35 PM
What is 53 minutes before 7:42 AM?
6:49 AM
How many minutes are there between 5:27 AM and 7:04 AM?
97
What is 48 minutes before 9:55 AM?
9:07 AM
How many minutes are there between 1:54 PM and 4:01 PM?
127
What is 391 minutes before 6:50 AM?
12:19 AM
What is 583 minutes before 12:33 PM?
2:50 AM
What is 406 minutes before 6:58 AM?
12:12 AM
How many minutes are there between 3:55 PM and 5:58 PM?
123
What is 655 minutes before 4:28 PM?
5:33 AM
How many minutes are there between 8:27 PM and 9:02 PM?
35
What is 344 minutes after 12:58 PM?
6:42 PM
How many minutes are there between 7:55 PM and 5:02 AM?
547
How many minutes are there between 3:48 AM and 5:48 AM?
120
How many minutes are there between 7:46 AM and 5:35 PM?
589
What is 332 minutes after 7:19 PM?
12:51 AM
How many minutes are there between 7:29 PM and 10:08 PM?
159
How many minutes are there between 9:16 PM and 7:32 AM?
616
What is 611 minutes before 10:59 AM?
12:48 AM
How many minutes are there between 6:46 AM and 7:37 AM?
51
What is 681 minutes before 1:12 AM?
1:51 PM
What is 12 minutes before 1:19 AM?
1:07 AM
What is 646 minutes after 8:15 AM?
7:01 PM
What is 244 minutes before 3:35 AM?
11:31 PM
What is 557 minutes before 8:48 AM?
11:31 PM
How many minutes are there between 6:56 AM and 5:12 PM?
616
What is 235 minutes before 4:57 PM?
1:02 PM
How many minutes are there between 7:54 AM and 7:11 PM?
677
How many minutes are there between 7:29 AM and 6:26 PM?
657
How many minutes are there between 8:32 PM and 5:44 AM?
552
How many minutes are there between 1:47 PM and 7:40 PM?
353
How many minutes are there between 1:29 PM and 6:15 PM?
286
How many minutes are there between 12:37 AM and 10:34 AM?
597
How many minutes are there between 9:47 PM and 7:57 AM?
610
What is 128 minutes after 7:36 PM?
9:44 PM
What is 320 minutes before 5:26 AM?
12:06 AM
How many minutes are there between 8:24 AM and 10:52 AM?
148
How many minutes are there between 5:05 PM and 12:52 AM?
467
How many minutes are there between 10:22 PM and 1:53 AM?
211
What is 332 minutes after 4:04 AM?
9:36 AM
How many minutes are there between 3:40 PM and 2:08 AM?
628
What is 670 minutes after 10:38 AM?
9:48 PM
What is 456 minutes before 11:06 PM?
3:30 PM
What is 616 minutes before 11:32 PM?
1:16 PM
How many minutes are there between 2:13 AM and 4:03 AM?
110
How many minutes are there between 8:40 PM and 1:36 AM?
296
How many minutes are there between 4:40 PM and 4:05 AM?
685
How many minutes are there between 12:19 PM and 2:02 PM?
103
How many minutes are there between 11:50 PM and 9:20 AM?
570
What is 702 minutes after 11:55 AM?
11:37 PM
What is 50 minutes after 5:32 AM?
6:22 AM
How many minutes are there between 4:47 PM and 2:07 AM?
560
How many minutes are there between 3:25 PM and 8:16 PM?
291
What is 526 minutes before 6:16 PM?
9:30 AM
How many minutes are there between 5:38 PM and 9:33 PM?
235
How many minutes are there between 4:35 AM and 10:07 AM?
332
How many minutes are there between 1:51 AM and 4:13 AM?
142
What is 657 minutes before 6:49 AM?
7:52 PM
How many minutes are there between 8:41 PM and 11:16 PM?
155
How many minutes are there between 4:45 AM and 9:15 AM?
270
What is 704 minutes before 2:57 PM?
3:13 AM
How many minutes are there between 2:06 PM and 8:33 PM?
387
How many minutes are there between 12:27 PM and 3:19 PM?
172
How many minutes are there between 1:54 AM and 10:17 AM?
503
How many minutes are there between 8:32 AM and 10:47 AM?
135
How many minutes are there between 7:07 AM and 8:58 AM?
111
How many minutes are there between 5:17 PM and 9:43 PM?
266
How many minutes are there between 8:52 AM and 4:35 PM?
463
What is | {
"pile_set_name": "DM Mathematics"
} |
tiple of 17 and a?
34
Let v(t) = -t**2 - 6*t + 7. Let l be v(-7). Let s = 7 + l. Suppose 0*y + 4 = y. Calculate the smallest common multiple of y and s.
28
Let w = -93 - -142. Calculate the common denominator of -45/4 and w.
4
Suppose 0 = -5*d - 3 - 22. Let m be 2/(-10) + 29/d. Let u = m - -9. What is the least common multiple of u and 3?
3
Let w(u) = -11*u. Let t = -14 + 6. Let q be w(t). Suppose 2*n + q = 6*n. What is the lowest common multiple of n and 2?
22
Let b = 95/56 - 401/616. Suppose 103 = -4*t + m, 5*t + 3*m + 150 = -0*m. What is the common denominator of (45/t)/((-4)/78) and b?
22
Let q = 597711/8 + -74812. Let i = q + 88. Find the common denominator of i and 85/22.
88
Suppose -5*j + 4165 = -y, -2*j + 20825 = -8*y + 3*y. Let i = y + 33415/8. Calculate the common denominator of -49/12 and i.
24
Let r = 2 - 4. Let o = 8 - r. Find the common denominator of (-2)/(-4)*(-174)/o and 101/12.
60
Suppose v - 3 - 1 = 0. Suppose v*z = 3*y - 0*z + 10, z + 2 = 3*y. Calculate the least common multiple of y and 14.
14
Suppose -3*n - 31498 - 32459 = 0. Let l = -255683/12 - n. Let d = 1231 - 7435/6. Calculate the common denominator of d and l.
12
Let i be 1/(-2)*(3 - 9). Let c(d) = 4*d - 3*d - 2 + i*d - 3*d. Calculate the smallest common multiple of c(4) and 11.
22
Suppose -3*p - 323 = -4*l - 2*p, 3*p + 321 = 4*l. Let m = -20369/10 - -2042. Find the common denominator of m and -3 - (0 + l/(-2)).
10
What is the common denominator of 19/20 and 0 + (2 - 226/28)?
140
Suppose 0 = 2*m - 4*m + 18. Calculate the smallest common multiple of m and 10.
90
Let t be 2/2*2*7. Let m be (-24)/t*(-168)/4. Calculate the common denominator of (-3)/m*2*26 and -31/5.
30
Let h = -18979/4972 - 21/452. Let i be (-2)/(-1) - 76/(-2). Find the common denominator of (-66)/i*(-10)/(-8) and h.
176
Suppose 0 = -3*n - n + 112. Suppose -2*g + n = -0*z - 2*z, 3*g = -z - 6. Find the common denominator of 67/14 and -2*(2 + 169/z).
42
Let i be ((-6)/(-8))/((-1)/(-4)). Suppose i = -5*k + 8. Calculate the lowest common multiple of 8 and k.
8
Suppose 8 - 52 = -z. Suppose 0 = 3*o + 5*a - 33, -z = -4*o + a - 6*a. Calculate the smallest common multiple of o and 5.
55
Suppose -b + 3 - 5 = 3*r, -5*r + 10 = -5*b. Let m(d) = 1 - 3 + 4 + 5*d**2 + r + d**3. Calculate the lowest common multiple of 4 and m(-4).
36
Calculate the smallest common multiple of 28 and 3/1 + -4 + 7.
84
Calculate the lowest common multiple of 3 and (-16)/(-2)*(1 + 2).
24
Suppose 0 = 3*j - j + 276. What is the common denominator of -2 - (j/(-15) - 3) and -5/7?
35
Suppose -i - 15 = -4*i. What is the smallest common multiple of 11 and i?
55
Suppose 5*w - 5*l = 4*w - 15, -12 = -4*l. Suppose 0 = -4*z + 20, 4*z + w*z - 12 = -y. Find the common denominator of 0 + 5/(50/y) and 32/9.
45
Suppose 3 = -4*y - 1. Let g be -1*9 + 4 + y. Find the common denominator of (g/(-44))/((-1)/26) and 97/4.
44
Suppose -5*g = -0*g - 2930. Let j = g + -1709/3. Calculate the common denominator of j and 0.
3
Let r(c) = -92*c**2 + 3*c + 1. Let z be r(4). Let l be (((-10)/z)/(-2))/(-1). Let s = l + -112403/17508. Calculate the common denominator of -89/18 and s.
36
Suppose 0 = -4*v + 2*l - 170, 0*l + 3*l = 15. Let q be (142/118646)/(4/9420). Let c = q - 2/5393. What is the common denominator of v and c?
11
Let f be 6*2*1/(-2). Let w(c) = c**2 + 6*c + 13. Calculate the smallest common multiple of w(f) and 6.
78
Let u = -288005665465312255/44884853230929348 + 2/684512493609. Let j = u - 2/16393. What is the common denominator of (-1)/4 + (-241)/36 and j?
36
Let a be (-2)/3*6/(-4). Let f be a/(-1)*(75 + -2). Find the common denominator of (-1)/2*f/5 and 149/6.
30
Let l be (-4)/6 - (-2289106)/132. Let s = 17337 - l. Calculate the common denominator of 43/10 and s.
110
Let c = -720/13 + 6298/117. Calculate the common denominator of -18/5 and c.
45
Let d(f) = f**2 - 14*f - 1. Let b be d(7). Let a = 143 + b. Let u = 63 - a. Find the common denominator of u and 23/8.
8
Find the common denominator of (-203)/(-24) + 24/36 and -89/14.
56
Let t(z) = -9*z**2 - 2*z - 20. Let n be t(9). Let l = n + 4619/6. Find the common denominator of -85/8 and l.
24
Let p be (-1)/(-5) - 177526/40. Let r = p + 4435. What is the common denominator of r and (-57)/(-28)*10*9/27?
140
Suppose 5*u - 3*w + 29 = 10*u, u - 3*w + 5 = 0. Calculate the smallest common multiple of u and 6.
12
Let q(n) = 2*n**2 - 3*n - 1. Let c = -1 - -5. Let u be q(c). Let r = -10 + u. What is the lowest common multiple of 8 and r?
72
Let k be 2322 - -1*(-4 - -3). Let d be (4 - 866)*22/(-8). Let u = k - d. What is the common denominator of -56/5 and u?
10
Let c = -39 - -55. Let n(l) = -l**3 - 2*l + 4. What is the least common multiple of c and n(0)?
16
Let r be 6 - 4 - 150303/14. Let z = 10729 + r. What is the common denominator of z and -77/4?
28
Suppose -2 - 2 = -3*v - 4*n, v + 4*n + 4 = 0. What is the lowest common multiple of v and 8?
8
Suppose -4*g = -360 - 1696. Find the common denominator of -29/20 and 1/(-5) - g/(-120).
60
Let j(b) = -b**3 + 7*b**2 - 10*b + 6. Let k be j(6). Let a = -1/166 - -3446/249. Find the common denominator of a and 128/k - 3/6.
18
Let r(v) be the second derivative of v**3/6 + 13*v**2/2 + 3*v. What is the lowest common multiple of 5 and r(-6)?
35
Suppose 3*r = 4*r. Suppose -2*w - 5*u - 18 = r, 6*u - 2*u + 11 = -5*w. What is the least common multiple of 11 and w?
11
Suppose -k + 2 = 3. Let f be ((-3)/2)/(3/(-824)). What is the common denominator of f/112*2/k and -87/8?
56
Let u(z) = z**3 + 24*z**2 - 50*z + 54. What is the least common multiple of u(-26) and 50?
50
Suppose 7*x + 22 = 92. What is the lowest common multiple of x and 80?
80
Calculate the common denominator of (-1770)/525*(-10)/16 and -5/24.
168
Suppose 0 = 4*n + 2 + 2. Let y be (-2 + -2)/1*n. Suppose 0 = 4*a - y, 3*m + 0 - 20 = -2*a. Calculate the lowest common multiple of 10 and m.
30
Let u be 2*3*(-8)/6. Let d = -7 - u. Suppose -3*n + 13 = d. Calculate the least common multiple of 11 and n.
44
Let t = 104 + -70. What is the smallest common multiple of t and 6?
102
Suppose l = 6 - 4. Calculate the least common multiple of l and 12.
12
Suppose 4*d - 3*c + 602 = 187, 2*c = -2*d - 218. Let a be ((-16)/3)/(2/(-12)). Calculate the common denominator of 137/18 and (-1)/(a/d) - -1.
144
Let a be ((-2)/(-490))/((-2)/(-5)). Let s = a + 122/49. What is the common denominator of s and 14/3?
6
Let x = -1 + 6. Let m be 1/4 + 15/4. Suppose -j - m*j + 55 = 0. What is the lowest common multiple of j and x?
55
Let h(p) be the third derivative of -p**4/24 - 5*p**3/6 - 3*p**2. Find the common denominator of h(-3) and -31/3.
3
Let u(o) = -o**3 + 2*o**2 + 4*o + 1. Let v be u(3). Suppose 0 = -v*q - q + 20. Calculate the least common multiple of q and (24/9)/2*3.
4
Let w(i) = 2*i - 5. Let p = 78 + -68. What is the lowest common multiple of w(6) and p?
70
Suppose b = 4*h - 84, -56 = -2*h + 6*b - 2*b. Let o = h - 10. What is the lowest common multiple of o and 6?
30
Let r = -1/1307 - -99341/11763. Let y = -284 - -1697/6. Calculate the common denominator of r and y.
18
Let k = -8 + 11. Let c = 0 + k. Suppose -13 = -3*b - 1. Calculate the lowest common multiple of c and b.
12
Suppose -5*j + 3*g + 0*g + 3 = 0, 0 = 2*j + 4*g - 22. Let n = -1 + j. Suppose 0 = -3*w + 2*w + n. Calculate the smallest common multiple of 10 and w.
10
Suppose 2*s = -4*p + 12, 4*p + s - 8 = -2*s. Let g = 37 - 18. Suppose 2*c + 9 = -3*x - c, -3*x - g = 5*c. What is the smallest common multiple of p and x?
10
Suppose 0 = 3*t + 11 - 35. Suppose 5*a + 4*o + t - 4 = 0, 4*a + 24 = 2*o. Find the common denominator of (a/10)/((-12)/75) and -45/4.
4
Let o = -39 - -11. Let f = 39 + o. Let j = -5 + f. What is the lowest common multiple of j and 11?
66
Suppose -i = -3*i + 42. Calculate the least common multiple of 66 and i.
462
Let x = 17 - 19. Find the common denominator of (-2)/6 - 111/18 and (-234)/40 - (1 + x).
20
What is the lowest common multiple of 10 - (-2 + -2)/(-2) and 3?
24
Let c = -424/91 + 8/91. What is the common denominator of 74/3 and c?
21
Suppose 37 = 4*u + 5. Suppose -t = -5*c + 38, 3*t + 0*t - 2*c = -127. Let q = 65 + t. Calculate the lowest common multiple of u and q.
88
Suppose 4*v - 6500 = 2*n, 5*v - 2*n - 499 - 7627 = 0. Let i = v + -12937/8. Find the common | {
"pile_set_name": "DM Mathematics"
} |
63?
1.9737
What is 0.13 + -34.5?
-34.37
What is 6628 minus -0.419?
6628.419
Add -6656 and -114.
-6770
What is -0.692 minus 1?
-1.692
Calculate -4 - -51060.3.
51056.3
0.1464 - 0.205
-0.0586
Work out -0.13 - 431.02.
-431.15
Total of 398389 and -1.8.
398387.2
Work out -0.3 - 142270.
-142270.3
What is the distance between 419 and -41?
460
Add 269 and 20.
289
What is -0.3 + -0.08781?
-0.38781
What is -0.0828 - -0.03?
-0.0528
Work out -46260 - -1.
-46259
-3 + 517
514
Work out 0.2 - -351486.
351486.2
What is 2.2 + -302?
-299.8
What is 0.14 less than -20913.9?
-20914.04
Calculate -3 + -12507.
-12510
What is 198 + -39.541?
158.459
Add -1573 and -0.96.
-1573.96
Work out 1849 + -5.
1844
What is 1716.8 minus -3?
1719.8
Put together 243 and 19.6.
262.6
What is -18 - -1725?
1707
Total of 3645 and -50.4.
3594.6
What is -1.2 + -144?
-145.2
Work out -2 - -0.0658.
-1.9342
Add together 459 and -0.4.
458.6
Total of 11 and -127814.
-127803
Add together -1895 and -84.
-1979
-0.1398 - -1.33
1.1902
Add together 0.362 and 13.
13.362
Add together 0.15 and -1114.
-1113.85
Calculate -91151 - 0.2.
-91151.2
0.073 + -3
-2.927
What is -1.91 + -3?
-4.91
What is 3 - -1162?
1165
Work out 0 + -637885.
-637885
Calculate -1.61 - 0.58.
-2.19
What is -0.1 + -0.080075?
-0.180075
What is the difference between 1926 and -1.39?
1927.39
-27.45 + -10
-37.45
Work out 3.8319 + -0.7.
3.1319
What is 0.4 + -73.034?
-72.634
180 + 70
250
What is the distance between -2.6 and -0.073?
2.527
Calculate -289331 - -0.9.
-289330.1
What is 0.1 minus 13842?
-13841.9
Work out 0.5 - 3103.
-3102.5
Work out 719 + -91.
628
What is -5 plus -1.368338?
-6.368338
Subtract -23 from 114.039.
137.039
Sum -167 and -51.
-218
What is 0.0515 minus 0.02?
0.0315
Subtract -19.023 from -83.
-63.977
Total of -0.422 and -0.059.
-0.481
1240+-1190
50
1.821 + 5
6.821
What is -187193 minus 0.037?
-187193.037
Total of -19913 and -0.3.
-19913.3
Add -5.181235 and -0.1.
-5.281235
Subtract -6.2824 from 0.022.
6.3044
-236 + 3341
3105
Subtract 85.6 from -0.02263.
-85.62263
715872 + 0.4
715872.4
What is the difference between -5 and -322622?
322617
What is -0.391 minus 0.028?
-0.419
Total of 0.7 and -0.2538.
0.4462
What is the difference between -1609 and 0.5?
1609.5
Total of 0.08 and 7348.
7348.08
9.944 + 155
164.944
Calculate 0.6635 - 1.9.
-1.2365
What is 6.756 less than 0.1?
-6.656
What is 144 plus -0.3?
143.7
Subtract -0.051 from -602.
-601.949
Subtract 710 from -40.
-750
What is 5.5 plus 0.2?
5.7
Work out -23215 + -1.
-23216
What is -0.7 - -2.081?
1.381
What is -10822 plus -5?
-10827
Work out 0 + -110614.
-110614
Work out 2167 + -0.0417.
2166.9583
What is the distance between 2 and -2127.03?
2129.03
What is the distance between -5 and 153?
158
Calculate 3 + -77484.
-77481
Sum 0.14 and 4.
4.14
Calculate -7 - 0.0581.
-7.0581
What is -0.09 + -108258?
-108258.09
What is -0.12539 take away -0.3?
0.17461
Work out 1.1176 - 154.
-152.8824
Add 0.1 and 26.
26.1
Work out 0.37 - -26.6.
26.97
What is -3398 take away 2.57?
-3400.57
-3612+4
-3608
What is the distance between -10.5908 and -1?
9.5908
Put together 1 and 156908.
156909
Calculate 0 - 469.
-469
Sum -9.9 and -6337.
-6346.9
What is the distance between 3 and 258580?
258577
Work out -769 - -945.
176
Put together 19 and 9410.
9429
Put together -20.1862 and 11.
-9.1862
What is 0.2 less than 3.464661?
3.264661
What is 0.5 minus 1.1592?
-0.6592
What is 0.3 plus -0.1033?
0.1967
What is 5 less than -300117?
-300122
What is -2.47 less than -178.16?
-175.69
What is -0.339 take away 0?
-0.339
What is -4969 + -38.3?
-5007.3
Add 39.57 and 79.1.
118.67
Sum 576991 and 0.
576991
Work out -2.4 - 0.1436.
-2.5436
What is 0 take away 2368.2?
-2368.2
What is 0.14 plus 7.4?
7.54
What is -54 minus 185?
-239
89 + -14
75
Work out 159599 + 0.25.
159599.25
Add together 0.11 and -93413.
-93412.89
Calculate 3097.39 + -0.4.
3096.99
Work out 4 - -0.2714.
4.2714
What is -0.2 plus 41.88?
41.68
Calculate -1 + 214809.
214808
Add together 623515 and -0.4.
623514.6
Calculate -3099 - -4.
-3095
Add -0.7 and -410896.
-410896.7
Subtract 14.57 from 4.
-10.57
What is the difference between -4186 and -0.018?
4185.982
What is -2959 + 4?
-2955
What is -0.725 less than 0.5?
1.225
What is the distance between 0.5 and -0.5835?
1.0835
What is 3687 - -0.0636?
3687.0636
Work out 85.5849 - -0.1.
85.6849
Work out -105 - -6.
-99
Calculate -0.126 - 0.394.
-0.52
Add -16 and 4.
-12
What is -30.772 take away 0.02?
-30.792
Work out 17307 + -0.1.
17306.9
Put together 17413 and 0.4.
17413.4
Add together -0.4 and -3887.
-3887.4
Calculate -138048 - 4.
-138052
Work out 1 + -8.647.
-7.647
What is -558.44 + 9.2?
-549.24
Add -0.0887 and 1124.
1123.9113
What is the difference between -0.3745 and 0.191?
0.5655
What is 2.2 less than -7.273?
-9.473
What is -224 - 0.093?
-224.093
Add 0.5 and 366.1.
366.6
Add 0.27 and -53236.
-53235.73
What is 768.3 less than 0.3?
-768
What is -18 + 90365?
90347
Sum -1887.104 and -0.3.
-1887.404
Add together -18 and -1.081.
-19.081
Add together -80 and -89.
-169
What is -13 take away 71?
-84
-0.2 + 1.0287
0.8287
What is -0.5 minus -0.02737?
-0.47263
Calculate 1595 - 0.2.
1594.8
What is the distance between 0.09 and -9698?
9698.09
-0.4 + -6836
-6836.4
-67 + 51
-16
Subtract -2 from 0.2528.
2.2528
Add together 2240 and -192.
2048
Calculate 0.4 + 0.0802609.
0.4802609
Calculate -185 - 611.
-796
2.1+0.0663
2.1663
What is -462 - -520?
58
What is the difference between 0.2 and 13282137?
13282136.8
Calculate -4 - 0.519.
-4.519
Calculate 0 - -35380.
35380
What is the difference between -1.3311 and -0.18?
1.1511
-158375 - 0
-158375
What is 0.091 take away 4558?
-4557.909
Subtract 9.97 from 2.
-7.97
Add together 588 and -2.
586
Sum -0.5 and 1861012.
1861011.5
Work out 151 - 1405.
-1254
Subtract 913 from 3.
-910
What is 0.08 - 20435?
-20434.92
Sum 11962 and 2.
11964
Work out -336 - 0.003.
-336.003
9.7 + 19
28.7
Sum -1926 and -1.5.
-1927.5
What is the distance between -17 and -74?
57
Work out -0.0961 + 0.3.
0.2039
Add together 845 and -12.86.
832.14
Calculate -8 - 135.
-143
Work out 43900 + -0.12.
43899.88
Work out 0.08 - -0.33.
0.41
What is -313 minus -0.2?
-312.8
Sum -7 and -3195.
-3202
What is 2304.3 less than 54?
-2250.3
What is -0.0256 plus -2?
-2.0256
What is the difference between -42 and -93?
51
Put together 0.58 and 51888.
51888.58
Subtract -843 from 0.2.
843.2
What is 1277.9 - -3?
1280.9
Calculate 27 + 366.63.
393.63
What is the distance between -0.202 and 0.3?
0.502
Add together -6251929 and 0.
-6251929
Add 1 and -1298.685.
-1297.685
Subtract 21278.13 from -3.
-21281.13
What is the distance between 0.8432 and 0.21?
0.6332
What is -2234 plus 23?
-2211
Sum -0.05 and -75.5.
-75.55
Calculate -113 - -22.
-91
What is -5 plus 4.8?
-0.2
Add -1.0107 and -3.
-4.0107
-1.2087 + 0.5
-0.7087
What is -8.31 less than 0.15?
8.46
Work out -90.3 - 11.
-101.3
Total of -44870 and -0.1.
-44870.1
What is -5.33 less than 29?
34.33
What is 6818 minus -464?
7282
Work out -9634 - -0.04.
-9633.96
-14101.47 - 1
-14102.47
Subtract 0.45 from 0.11.
-0.34
Work out -22778 + -1.
-22779
What is 4 take away 100979?
-100975
Sum -1.2 and 695.5.
694.3
What is -9 + 19974?
19965
-0.167 - -15.35
15.183
What is -2 + -9287?
-9289
What is 3 minus 40.8?
-37.8
What is -0.6247 less than 2.3?
2.9247
What is 1 - 155344?
-155343
Work out -2.4 - -60.4.
58
What is the difference between -2303 and 0.4?
2303.4
-150 - -0.0089
-149.9911
Put together -0.049717 and 1.2.
1.150283
What is -3 take away -224863?
224860
Work out -4 + -82.82.
-86.82
What is the distance between -0.39802 and 0.2?
0.59802
What is -30 + -52?
-82
1074 + -62
1012
Sum 175413 and -0.09.
175412.91
7.2+32
39.2
Work out -217012 - -0.4.
-217011.6
Put together 407 and -3.73.
403.27
-15581 + 12.6
-15568.4
Calculate -14.782 - 3.4.
-18.182
Work out -89050 + 4.
-89046
-31.97 - 0
-31.97
Work out 11316 + 0.017.
11316.017
What is the distance between -1153.9 and 0.4?
1154.3
Subtract -2.361 from -0.1.
2.261
What is the difference between 0.3569 and 0?
0.3569
Total of 0.257 and -5.
-4.743
What is 111174 less than 1.6?
-111172.4
What is -0.49 less than -3.3?
-2.81
Subtract -0.2 from -26.6925.
-26.4925
What is the distance between -3 and 2342?
2345
Total of -0.05254 and 0.5.
0.44746
What is 4.4143 + 0.12?
4.5343
What is the diff | {
"pile_set_name": "DM Mathematics"
} |
- 4*c**b + 7*c**4 - 15*c**3 + 6*c**2 - c**4 = 0.
-1, 1, 2
Factor 1/2*l**3 - 1 + l**2 - 1/2*l.
(l - 1)*(l + 1)*(l + 2)/2
Let t(g) = 3*g**3 - 4*g**2 - 5*g - 4. Let m(x) = x**3 - x**2 - x - 1. Let a(j) = 4*m(j) - t(j). Let b(p) = -p**2. Let w(z) = -a(z) + 2*b(z). Factor w(y).
-y*(y + 1)**2
Factor -18*p**2 + 540*p**3 + 16 - 282*p**3 - 272*p**3 + 14*p + 2*p**4.
2*(p - 8)*(p - 1)*(p + 1)**2
Let k(s) be the second derivative of -s**7/6300 - s**6/450 - s**5/75 + s**4/6 + 2*s. Let a(p) be the third derivative of k(p). Let a(m) = 0. Calculate m.
-2
Let f(w) be the second derivative of -1/6*w**2 + 0 - 1/20*w**5 - 7/36*w**4 - 3*w - 5/18*w**3. Factor f(o).
-(o + 1)**2*(3*o + 1)/3
Let u(o) be the first derivative of -2*o**5/5 + 2*o**4 - 4*o**3 + 4*o**2 - 2*o + 15. Determine p so that u(p) = 0.
1
Let o = -110 + 113. Factor 0 - 3/2*x**2 - 1/2*x - 3/2*x**o - 1/2*x**4.
-x*(x + 1)**3/2
Factor 22 - 9*q**2 - 10 - q**4 + 6*q**3 - 12.
-q**2*(q - 3)**2
Let -11/2*a**4 - 2*a**5 + 5/4*a + 1/4*a**2 - 17/4*a**3 + 1/4 = 0. What is a?
-1, -1/4, 1/2
Let c = 253 + -251. Solve 0 + 4/11*g**3 + 2/11*g**c + 0*g + 2/11*g**4 = 0 for g.
-1, 0
Let a(d) be the first derivative of -5*d**5 - 55*d**4/2 - 115*d**3/3 - 15*d**2 - 1. Find m such that a(m) = 0.
-3, -1, -2/5, 0
Let -c**4 + 5/3*c - 5/3*c**3 - 2/3 + 5/3*c**2 = 0. Calculate c.
-2, -1, 1/3, 1
Factor -28/3*j - 26/3*j**2 + 3*j**4 + j**3 - 8/3.
(j - 2)*(j + 1)*(3*j + 2)**2/3
Let h(c) be the third derivative of -c**8/840 - 2*c**7/525 + c**5/75 + c**4/60 - 3*c**2. Determine r, given that h(r) = 0.
-1, 0, 1
Suppose -6 - 6 = -3*r. Suppose -18 - 6 = -r*v. Factor -8*g**2 + v - 3 - 5 + 8*g.
-2*(2*g - 1)**2
Suppose 7 - 1 = v - o, -15 = 3*o. Factor 0*x**2 + v - 1 - 1 + x**2.
(x - 1)*(x + 1)
Let l(x) be the third derivative of -x**7/1260 + x**6/180 + x**4/6 + 6*x**2. Let d(w) be the second derivative of l(w). Factor d(m).
-2*m*(m - 2)
Let a(z) be the first derivative of z**4/2 + 2*z**3/3 - z**2 - 2*z + 10. Determine b so that a(b) = 0.
-1, 1
Let l(q) be the first derivative of -2*q**3/3 + 2*q + 22. Factor l(m).
-2*(m - 1)*(m + 1)
Let a(u) be the first derivative of u + 2. Let j(h) = h**2 + 3*h + 3. Let x(w) = -3*a(w) + 3*j(w). Factor x(s).
3*(s + 1)*(s + 2)
Let a = 2 + -2. Let v(u) be the third derivative of 1/90*u**6 + 0 - 1/90*u**5 + a*u - 2*u**2 + 0*u**3 + 0*u**4 - 1/315*u**7. What is r in v(r) = 0?
0, 1
Let k(q) = -9*q**3 - 7*q**2 + 11. Let t(f) = -4*f**3 - 4*f**2 + 6. Let l(w) = 2*k(w) - 5*t(w). Determine u so that l(u) = 0.
-2, 1
Let n = 561 + -3921/7. Let -2/7*q**2 + 0 + n*q = 0. What is q?
0, 3
Suppose -5*v - 9 - 3 = -p, -4*p + 2 = 3*v. Factor 0*w**2 - p*w**3 + w + w**3 + 0*w**2.
-w*(w - 1)*(w + 1)
Let h(z) be the first derivative of 3*z**5/10 - 3*z**4/8 - z**3/2 + 3*z**2/4 + 1. Solve h(a) = 0 for a.
-1, 0, 1
Find b, given that 12*b + 3*b**3 - b**2 - 10*b**2 - b**2 + 0*b**3 = 0.
0, 2
Let c(v) be the second derivative of -v**6/90 + v**5/15 - v**4/6 + 2*v**3/9 - v**2/6 + 19*v. Factor c(d).
-(d - 1)**4/3
Let y(v) be the first derivative of 0*v**2 + 2 - 1/12*v**4 + 0*v + 1/9*v**3. Factor y(m).
-m**2*(m - 1)/3
Let o(a) be the third derivative of 0*a + 0*a**3 - 1/120*a**6 + a**2 - 1/72*a**4 + 0 + 1/630*a**7 + 1/60*a**5. Factor o(i).
i*(i - 1)**3/3
Let j be (-15)/(-6)*8/10. Factor 4*u**j + 8*u**2 + 4*u**2 + 4*u**3 + 16*u.
4*u*(u + 2)**2
Let m be 2 + (1/(-6)*47)/4. Let h(c) be the second derivative of 1/16*c**4 - 3*c + 1/16*c**5 - m*c**3 + 0 - 1/8*c**2 + 1/60*c**6. Factor h(q).
(q + 1)**3*(2*q - 1)/4
Let n = 1/12 - -2/3. Solve 1/4*d**5 + 0*d + 0 + 3/4*d**3 + n*d**4 + 1/4*d**2 = 0.
-1, 0
Let o be -3 - (2 - (6 + 0)). Determine w, given that 14*w**2 + 1 + 2*w**3 - o + 8*w**3 + 4*w = 0.
-1, -2/5, 0
Suppose 3*n = 5*n - 16. Suppose n*z - 10 = 3*z. Find x such that -2 + 0*x**4 + 7*x**3 + x**3 + 8*x - 2*x**4 + x**z - 13*x**2 = 0.
1
Solve 3*m**3 + 7*m**5 + 40*m**2 + 0*m**5 + 12*m**4 - 42*m**2 = 0.
-1, 0, 2/7
Let m = 5 - -13. Suppose -u - 2*l + m = u, -4*l = -u - 16. Factor 4 - n**3 - u - n**4.
-n**3*(n + 1)
Let t be 8/(-90)*(-6)/64. Let i(p) be the third derivative of 1/480*p**6 + p**2 + 0 + 1/96*p**4 + 0*p + 0*p**3 + t*p**5. Determine y so that i(y) = 0.
-1, 0
Let h = 119 + -115. Let y(z) be the third derivative of -1/840*z**8 - 2/525*z**7 + 0 + 1/75*z**5 + 0*z + 1/60*z**h + 2*z**2 + 0*z**3 + 0*z**6. Factor y(d).
-2*d*(d - 1)*(d + 1)**3/5
Suppose 3*w + 38 = -22. Let z be (-8)/w + (-6)/(-15). Suppose -4/5*b**3 - 16/5*b**2 + 4/5*b**4 - 14/5*b - z + 2/5*b**5 = 0. Calculate b.
-1, 2
Let f(u) be the first derivative of u**6/240 + u**5/30 + u**4/12 - u**2/2 + 3. Let s(m) be the second derivative of f(m). Solve s(o) = 0.
-2, 0
Suppose -2 = g, 2*d = 4*g - 7*g. Let t be (6/(-4))/(3/(-8)). Let 0 - 1 - 2*l**d + 2*l**4 - l**t + 2*l = 0. What is l?
-1, 1
Let w = -1/62 + 16/31. Let x(o) be the first derivative of -1 - 1/4*o**4 + w*o**2 + 0*o + 0*o**3. Factor x(v).
-v*(v - 1)*(v + 1)
Let p be (-2)/4 - (-14)/12. Let x(r) be the first derivative of 2*r**2 - 2 - p*r**3 - 2*r. Factor x(d).
-2*(d - 1)**2
Suppose -16*z + 12 = -10*z. Factor 0 - 1/2*a**z + 1/2*a.
-a*(a - 1)/2
Let r be -7 + 0 - (-3 - -2). Let s(z) = -8*z**2 + 2. Let w(u) = u**2. Let o(f) = r*w(f) - s(f). Factor o(c).
2*(c - 1)*(c + 1)
Let u = -1 - -1. Suppose u*p + 2*p = 8. Find z, given that z**3 + 2 - p - 3*z + 4 = 0.
-2, 1
Let c(v) be the third derivative of 1/90*v**5 + 1/12*v**4 + 0*v + 2/9*v**3 + 0 + 6*v**2. Suppose c(f) = 0. Calculate f.
-2, -1
Let i(c) = -c**2 + 9*c - 5. Let l be i(8). Factor -l*d**4 + d**4 + 7*d**2 - 4*d**2 - d**4.
-3*d**2*(d - 1)*(d + 1)
Let k(c) = -6*c + 28*c - 9*c**3 - 12 - 18*c**2 - 7*c. Let w(d) = d**3 + d**2 - d + 1. Let v(x) = -k(x) - 12*w(x). Factor v(f).
-3*f*(f - 1)**2
What is a in 2/7*a**3 + 4/7*a**4 + 0 + 0*a - 2/7*a**2 = 0?
-1, 0, 1/2
Let c(b) be the first derivative of -4/9*b**3 + 4/3*b + 7/6*b**4 + 4 - 7/3*b**2. Solve c(l) = 0.
-1, 2/7, 1
Factor 4/7*f**2 + 2/7*f**3 + 2/7*f + 0.
2*f*(f + 1)**2/7
Let a = 18 - 18. Let z(o) be the second derivative of -1/126*o**7 + 2*o + 0*o**3 + 0*o**2 + 0*o**5 + a + 0*o**4 - 1/90*o**6. Factor z(u).
-u**4*(u + 1)/3
Let l(g) be the second derivative of -g**6/6 - g**5/4 + 5*g**4/12 + 5*g**3/6 + 11*g. Let l(h) = 0. Calculate h.
-1, 0, 1
Let k = -59/8 + 8. Let h(m) be the first derivative of -1/4*m - 5/6*m**3 - 1 + k*m**2 + 1/24*m**6 - 1/4*m**5 + 5/8*m**4. Factor h(p).
(p - 1)**5/4
Let x be (-8)/10 - 990/(-675). Find i, given that -4/9 + 2/3*i**3 - x*i + 2/9*i**2 + 2/9*i**4 = 0.
-2, -1, 1
Solve 0 + 2/15*b**2 - 8/15*b = 0.
0, 4
Let t(u) be the first derivative of 7*u**4/18 - 2*u**3/3 + 2*u**2/9 - 8. What is h in t(h) = 0?
0, 2/7, 1
Let z be (-1 + 0)/((-3)/(-69)). Let h = -23 - z. Factor 1/3*m**5 + 0 - 1/3*m - 2/3*m**4 + h*m**3 + 2/3*m**2.
m*(m - 1)**3*(m + 1)/3
Factor 6*b**4 + 70*b**3 + 211*b + 2*b**4 + 209*b - 3*b**4 + 305*b**2 + 180.
5*(b + 1)**2*(b + 6)**2
Let j(t) = -12*t**2 - 45*t + 57. Let l(q) = -3*q**2 - 11*q + 14. Let p(m) = -5*j(m) + 21*l(m). Factor p(h).
-3*(h - 1)*(h + 3)
Let y be (4/10)/(56/280). Suppose 0*b + 0 + 1/4*b**y - 1/4*b**4 + 0*b**3 = 0. What is b?
-1, 0, 1
Let k(b) = 3*b**2 + 9*b**2 + b**2 - 4*b**2. Let r(z) = -13*z**2. Suppose 0 = -3*s - 11 - 4. Let v(j) = s*r(j) - 7*k(j). Factor v(c).
2*c**2
Let n = -7 - -10. Let a(t) be the first derivative of -1 + 1/6*t**2 + 0*t + 1/4*t**4 - 1/3*t**n - 1/15*t**5. Factor a(k).
-k*(k - 1)**3/3
Let 1/9*s**4 + 0*s**2 + 1/3*s**3 + 0 - 4/9*s = 0. What is s?
-2, 0, 1
Let t(a) = 36*a**3 - 63*a**2 + 18*a + 1. Let b(x) = 12*x**3 - 21*x**2 + 6*x. Let n(g) = 8*b(g) - 3*t(g). Find w such that n(w) = 0.
-1/4, 1
Let -4*n + 2*n - 3*n**2 + 5*n + 6 + 0 = 0. What is n?
-1, 2
Let v(z) be the first derivative of z**4/6 + 2*z**3 + 9*z**2 + 18*z - 4. Factor v(h).
2*(h + 3)**3/3
Let u be (-42)/(-5) - 4/10. Suppose u*q = 2*q. Determine w, given that -1/3*w**2 + 0 + q*w - 1/3*w**3 = 0.
-1, 0
Let w be 3/(-2)*12/(-10). Let o = 264 + -1311/5. Suppose 3/5*q**4 - 3/5*q + 0 - o*q**3 + w*q**2 = 0. What is q?
0, 1
Let n = -703/4 - -176. Factor 3/4*l**3 + 5/4*l**2 + 1/4*l - n.
(l + 1)**2*(3*l - 1)/4
Let s = -2 - -3. Find m, given that -2*m - m + 11*m**3 - 12*m**3 + s + 3*m**2 = 0.
1
Let y = -3 - -4. Let q be 6*y - 2 - 2. What is t in 2 + 2*t - 2*t**q - 2*t = 0?
-1, 1
Let s be ((-1)/2)/((-8)/64). Factor -q**5 + | {
"pile_set_name": "DM Mathematics"
} |
*c - 3*q - 144 = p. What is the units digit of c?
3
Let y(u) = -u**3 + 18*u**2 - 23*u + 15. Let z be y(11). Suppose 7*i - 203 = z. What is the hundreds digit of i?
1
Let w(v) = -7*v**2 - 6*v**2 + 8*v**2 - 11*v**2 - 34*v + 17 + 14*v**2. What is the units digit of w(-14)?
1
Suppose 15*c - 140107 = 422033. What is the hundreds digit of c?
4
Let j = -187 + 180. Let r(n) = 4*n**2 + 5*n - 9. What is the hundreds digit of r(j)?
1
Let g = 8997 - -736. What is the units digit of g?
3
Let n be (-4)/((-63)/81 + (-4)/18). Suppose 2*q - 7 + 1 = 0. Suppose n*u - 903 = g, u - 5*g = q*u - 479. What is the hundreds digit of u?
2
Let n = 33362 - 16235. What is the thousands digit of n?
7
Let n(r) be the third derivative of -r**5/60 + 19*r**4/24 + 5*r**3/6 - 22*r**2. What is the units digit of n(9)?
5
Let i(z) = -337*z**3 + 2*z**2 + 3*z + 1. Let f be i(-1). Suppose -4*t - 9 = -f. Let w = t - 47. What is the tens digit of w?
3
What is the thousands digit of (1 + 6)*((-2)/(-13) - 1098252/(-2457))?
3
Suppose 2*h = -5*f + 703, -2*h + 260 + 431 = f. Suppose 0 = i - 3*d - 65 - h, 5*d - 25 = 0. What is the units digit of i?
4
What is the thousands digit of 4268 + -8 + -1 + (-5)/1?
4
Let h(g) be the second derivative of g**4/12 + 13*g**3/6 + 4*g**2 + g. Let t be h(-8). Let j = t + 86. What is the tens digit of j?
5
Let x(p) = -p + 33. Let g be x(24). Suppose 0 = g*t - 47 - 70. Suppose t*s - 5*s = 2064. What is the units digit of s?
8
Let c(w) = 35*w**2 + w - 2. Let a be (9 - 3)*8/12. Let i be 4*a/(-8) - (-2 + -2). What is the tens digit of c(i)?
4
Let w = 4331 - 3086. What is the thousands digit of (10*3)/((-17400)/w - -14)?
1
Let n be 2/((-5)/(5/(-2)))*-12. Let h = 15 + n. Suppose 2*g + h*g - 240 = 0. What is the units digit of g?
8
Suppose 72*n - 684 = 69*n. Let g = n + 54. What is the tens digit of g?
8
Suppose d + 4*l = 6197, l + 12418 = 2*d + 3*l. Suppose t + 546 + 1005 = k, 4*k + 5*t - d = 0. What is the thousands digit of k?
1
Let g(k) = 3*k**3 - k**2 + 2*k - 1. Let p be g(1). Suppose 5*m + 55 + p = -a, m + 23 = -4*a. Let l(x) = -x**2 - 13*x + 4. What is the units digit of l(m)?
6
What is the ten thousands digit of (-704718)/170*(-10 + 2 + 3)?
2
What is the hundreds digit of 3/18 - 1852445/(-294)?
3
Let q be 6*((-23144)/(-60) - (-4)/(-10)). Let c = q - 1516. What is the units digit of c?
6
Let j(h) = -h**2 + 19*h - 37. Suppose 4*b - 9*b - 47 = -2*p, -p + b = -19. Let x be j(p). Let u = 37 + x. What is the tens digit of u?
4
Suppose 0 = -z + 3*v + 5, 5*v - 4 = z - 9. What is the tens digit of (-1)/((-2988)/597 + z)?
9
What is the hundreds digit of ((-100)/80)/((-10)/182488)?
8
Let g(r) = r**2 + 3*r - 38. Let b be g(5). Suppose 4*v - 1168 = -v - 4*k, 0 = b*v - k - 462. What is the hundreds digit of v?
2
Let f be (-30)/9*(-42)/10. Let h = f + 43. Let j = 150 - h. What is the tens digit of j?
9
Suppose 3*z + 4 - 1 = -3*j, -5*j + 3 = 3*z. Suppose -5*b = -4*k + 1921, -2*k - j*b = -4*b - 953. What is the hundreds digit of k?
4
Let h be (-2)/(-15) + 1504/(-30). Let z = h - -131. What is the units digit of z + -4 + 3 - -3?
3
Let n(m) be the second derivative of m**5/12 - 11*m**4/6 + 7*m**3 + 6*m. Let k(x) be the second derivative of n(x). What is the hundreds digit of k(26)?
2
Let n(q) = -144*q**2 - 3*q + 135*q**2 + q + 7. Let c be n(4). Let w = -42 - c. What is the hundreds digit of w?
1
Let q(n) = n - 33. Let i be q(19). Let f be 7/i + (-1917)/(-6). Suppose -x - 5*g = -46, -68 = 5*x + 4*g - f. What is the units digit of x?
1
Let f(a) = -a**3 - 16*a**2 - 15*a + 3. Let w be f(-15). Suppose -w*h + h = d - 8, 0 = -d + 4. Suppose 156 = 6*s - h*s. What is the tens digit of s?
3
Let v(p) = 549*p**2 + 349*p + 15. What is the tens digit of v(-6)?
8
Suppose -3*d + 35 = 4*i, -21*i = -22*i + 5. What is the hundreds digit of (d - 13) + 6 + 447?
4
Let w be 154/21 - (-30)/18. Let r(y) = 3*y**3 - 22*y**2 + 9*y - 3. What is the tens digit of r(w)?
8
Let y(g) = -3*g + 22. Let s be y(7). Let l be 5/s - (6 + -6). Suppose -6 = 2*u, -l*m + m + 253 = 5*u. What is the tens digit of m?
6
Let p = 518 - 515. Let b(q) = 32*q**2 + 6*q - 12. What is the hundreds digit of b(p)?
2
Let w = 4363 - 3515. What is the hundreds digit of w?
8
Let v be ((-6)/27)/((-5)/90). Suppose -v*m = c - 48, -2*c + 6*c - 244 = -3*m. What is the tens digit of c?
6
Suppose 2*v = v + 3. Let o = -4376 - -4461. Suppose -v*c = -o - 119. What is the tens digit of c?
6
Suppose -673*b = -659*b - 343770. What is the ten thousands digit of b?
2
Let c = 11934 + -6273. What is the thousands digit of c?
5
Suppose -769 + 193 = -4*t + 2*g, 0 = 3*t + g - 437. Suppose -4*f - t = 4059. What is the tens digit of (-4)/(-16) - (f/4 - 2)?
6
Let p(b) = 65*b**3 - 2*b**2 + b + 1. Let d be p(1). Let g = 89 - d. Suppose -19*i - 270 = -g*i. What is the units digit of i?
4
Suppose 0 = 3*s - 12, -k - 3270 + 9309 = -3*s. What is the units digit of k?
1
Let k be (-548)/(-2) + (-2 - 1). Suppose -3*a = 4*g + 116 + k, -a - 195 = 2*g. Let c = g - -175. What is the units digit of c?
6
Suppose -5470 = -66*t + 1466660. What is the tens digit of t?
0
Let z(d) = -2*d**3 - 18*d**2 - 13*d + 13. Let p = -118 + 106. What is the tens digit of z(p)?
3
Let l = 10385 + -6542. What is the hundreds digit of l?
8
Let j = 2946 - 290. What is the units digit of j?
6
Suppose 3*v = 4*j + 475, 27*j - 5*v = 29*j + 205. Let f = 224 - j. What is the hundreds digit of f?
3
Suppose 554405 = 177*z - 433078. What is the tens digit of z?
7
Suppose -14*p + 5845 = -31129. What is the tens digit of p?
4
Let h = -109 - -80. Let k(b) = -15*b + 76. What is the hundreds digit of k(h)?
5
Let x be 5/((-20)/(-16336)) + (4 - 0). Suppose 0 = 305*h - 309*h + x. What is the tens digit of h?
2
Let q be 7/(-1) - -4 - -12. Suppose q*b - 2090 = -5*g + 6*b, -4*g - 2*b + 1672 = 0. What is the tens digit of g?
1
Let q(m) = 2*m**2 - 23*m + 15. Let s be q(7). What is the hundreds digit of (-8)/6 - 11776/s?
2
What is the ten thousands digit of (6/(-4))/((-2)/(-33) - 48244600/795709200)?
6
Let q be (-433)/5 + (-30)/(-50). Let w = -81 - q. Suppose 0 = -4*s - 4*r + 360, 2*s = -0*s + w*r + 208. What is the tens digit of s?
9
Suppose -5*q + 3 = -17. Suppose 3*j - 7 + q = -2*g, -2*g + 4*j + 38 = 0. Suppose -g*y + 658 = -2*y. What is the units digit of y?
4
Suppose 137070 = -355*q + 364*q. What is the thousands digit of q?
5
Let y(g) = g**2 - 38*g + 285. Let o be y(28). Suppose -2*k - 2*s + 3122 = 0, 0 = o*s - 6*s - 1. What is the units digit of k?
2
Suppose -5*u + 12*m - 10*m + 40 = 0, -2*m = -3*u + 24. Let j(x) = 2*x**3 + 3*x**2 + 2*x + 4. Let h be j(3). Suppose -h = -u*y + y. What is the units digit of y?
3
Let l = -413 + 1534. What is the thousands digit of l?
1
What is the units digit of 255/(-153)*(-7164)/20?
7
Let k(a) = 3*a + 15 - 13 - 1 + a**2 - 17. Let x be k(-6). Suppose 92 = x*n - 3*h, -3*n + 131 + 7 = 5*h. What is the units digit of n?
6
Let h be (4*2313/48)/((-6)/(-32)). Suppose -21*p - h = -22*p. What is the tens digit of p?
2
Suppose -4*p + 184*x - 179*x = -180947, -135780 = -3*p - 4*x. What is the thousands digit of p?
5
Let q(y) = 110*y - 106. Suppose -15*s - 15*s = -150. What is the hundreds digit of q(s)?
4
Suppose -2*q + 3*q - 47 = -c, -235 = -5*c + 5*q. Suppose -b = -5*a + c, -b + 22 = 2*a - 3*b. Suppose 0 = 6*h - a*h + 441. What is the units digit of h?
7
Let m(p) = 2*p**3 - 52*p**2 + 9*p - 25. What is the tens digit of m(27)?
7
Let v(r) = 4*r**2 + 2*r. Let c(b) be the second derivative of b**3/6 + 3*b**2/2 + 20*b. Let o be c(-8). What is the tens digit of v(o)?
9
Let i = 306 + -138. What is the units digit of 1 + i + 3/3?
0
Let k(q) = 442*q - 65. Let l be k(-3). Let z = 2096 + l. What is the tens digit of z?
0
Let k(t) = 45*t**3 + 2*t**2 - 2*t + 15. Let s = -378 + 381. What is the thousands digit of k(s)?
1
Suppose -4*z = -6*l + 83606, 0 = -4*l - 5*z + 58892 - 3124. What is the units digit of l?
7
Let f(y) be the third derivative of -29*y**4 - 11*y**3/3 - 145*y**2. What is the tens digit of f(-2)?
7
Suppose -156*i + 159*i = 23508. What is the hundreds digit of i?
8
Suppose 4*j = o - 4603, 3*j + 520 - 499 = 0. What is the hundreds digit of o?
5
Let l(k) = k - 209. Let d(o) = 70. Let a(z) = 7*d(z) + 2*l(z). Let y be a(-25). Suppose 26*i - 676 = y*i. What is the tens digit of i?
6
Suppose 33 | {
"pile_set_name": "DM Mathematics"
} |
out 3.34 * 34721.
115968.14
Product of -14.826 and -65.
963.69
Multiply -34840.4441 and -0.4.
13936.17764
Product of 0.88 and 1029620.
906065.6
205007*22
4510154
What is the product of 3063.78 and 214?
655648.92
Multiply -1962 and 2741.
-5377842
Product of 210421.9 and -1.23.
-258818.937
Calculate -19.302823*-0.1.
1.9302823
Multiply -23 and -514584.
11835432
-5 times 1006085
-5030425
Work out -0.005 * -358116.
1790.58
-0.079*24962
-1971.998
Multiply -264074.742 and -0.3.
79222.4226
What is 0.2334 times -48758?
-11380.1172
Calculate -10704*-9106.
97470624
Work out -0.23415 * 2.51.
-0.5877165
-856.9 times -3514
3011146.6
What is the product of -0.3 and -5732.255?
1719.6765
Product of -2.5138 and 0.027.
-0.0678726
Work out 0.1 * -17443.7.
-1744.37
-1.725 * -0.4033
0.6956925
Product of -9.094 and 9.
-81.846
Work out -351 * 0.116283.
-40.815333
Work out 72851935 * -4.
-291407740
What is -14534 times -87?
1264458
71.24476 times -140
-9974.2664
What is the product of 0.18 and -658332?
-118499.76
Work out 17089818 * 0.05.
854490.9
19.569 times -0.23
-4.50087
18 * -683.77
-12307.86
-0.07 * 117764.8
-8243.536
Work out 0.111 * 0.047276.
0.005247636
What is 2.5 times 7182.667?
17956.6675
769025.85 times 0.3
230707.755
-0.8 times -72584791
58067832.8
-0.021 * 90392
-1898.232
Product of -2.4925 and -8218.
20483.365
Multiply 254 and 27.9631.
7102.6274
Calculate -0.95*4706605.
-4471274.75
Calculate 2*-193696251.
-387392502
318.264 times 10.98
3494.53872
0.7 times -472211
-330547.7
Calculate 0.1*12851078.
1285107.8
1634177 * -0.5
-817088.5
Product of 540761 and 0.13.
70298.93
Multiply -5 and 0.27305917.
-1.36529585
180.99*-708
-128140.92
What is the product of 0.5 and 815.37407?
407.687035
Calculate 61*-31.88181.
-1944.79041
-0.031 * 6599925
-204597.675
Product of 2.8 and -6606.48.
-18498.144
30.264835 times -5
-151.324175
Multiply -7 and 12680666.
-88764662
10 times -5702.508
-57025.08
0.007 times 408888
2862.216
-4 * -47939831
191759324
Work out -126.84 * -0.9062.
114.942408
What is -1.12 times -0.27656?
0.3097472
What is -104.56622 times -5?
522.8311
What is 2.5 times -2.314231?
-5.7855775
Calculate -7696386*2.
-15392772
-56.04987 times -0.109
6.10943583
-0.04 * -135331
5413.24
3.190028 times -1.9
-6.0610532
What is -0.2 times 63.5974?
-12.71948
What is 20.56446 times 0.03?
0.6169338
Work out -2 * 6.153405.
-12.30681
What is the product of 3.53483 and 0.5?
1.767415
19*-1215196
-23088724
-93811177*-3
281433531
3 times 845212.1
2535636.3
Calculate -137188729*-0.1.
13718872.9
0.08 times -1798092
-143847.36
-0.4*797.2841
-318.91364
0.03 times -49.6678
-1.490034
Work out 0 * 25287963.
0
-8 times 203093
-1624744
What is -0.084 times -362903?
30483.852
What is the product of 0.6 and -13.68284?
-8.209704
-57.2401 times -77
4407.4877
0.1 times -10010639
-1001063.9
What is 3 times 0.088808?
0.266424
Calculate 0.15135*7.6.
1.15026
Work out -230078949 * -0.2.
46015789.8
Multiply 55717 and 24.
1337208
Product of -141213.304 and 2.
-282426.608
1 * 11662621
11662621
-0.0316 times 1161.9
-36.71604
Multiply -0.099 and 413.73.
-40.95927
What is 0.2 times 333.6342?
66.72684
Work out 934 * -203309.
-189890606
Multiply 2014938 and 0.16.
322390.08
-166810*0.0354
-5905.074
-2702 times 7319
-19775938
What is 0.652 times 1420?
925.84
Work out -370.49976 * -0.2.
74.099952
Multiply -0.3 and 3472984.
-1041895.2
1 * 15476171.8
15476171.8
What is 0.3 times -27936201?
-8380860.3
What is -0.5 times -21825377?
10912688.5
72 * 407011
29304792
Work out -202 * 235.94.
-47659.88
What is 0.11217 times -115.04?
-12.9040368
-7.31 * 5012
-36637.72
Multiply -0.3 and 50651.1.
-15195.33
1705.585*0.01
17.05585
Product of -39 and -414570.
16168230
Work out 0.75 * -1139956.
-854967
Calculate -396465822*-0.3.
118939746.6
What is -6577662 times 5?
-32888310
Product of -101 and 22270.
-2249270
Multiply -2.80243 and 195.
-546.47385
What is -0.066 times -818571?
54025.686
Product of 0.127 and -49082.
-6233.414
-604.72753 * 0
0
Multiply -0.073009221 and 0.5.
-0.0365046105
0.07 * 1539.961
107.79727
Calculate -692112*-0.5.
346056
Multiply -908654472 and 0.1.
-90865447.2
Work out -0.8 * 369864.
-295891.2
Work out 4 * 21609.318.
86437.272
What is the product of 2.937 and -3338?
-9803.706
Multiply 26475757 and -5.
-132378785
0.104202*3.831
0.399197862
What is the product of -553406 and -7.1?
3929182.6
What is -50 times -0.121503?
6.07515
0.05 times 0.0534089
0.002670445
What is 60559204 times 0.1?
6055920.4
Multiply 242 and -517.982.
-125351.644
Product of -4.97 and -11256.
55942.32
Multiply -1672 and 822.
-1374384
-2954124*5.8
-17133919.2
What is -12309082 times 0.04?
-492363.28
-0.1 times 19789061
-1978906.1
-902.955 * 0.6
-541.773
Product of -14 and 12975867.
-181662138
Calculate 638.7543*0.078.
49.8228354
1 times 5564.079
5564.079
Work out -27.04838 * -303.
8195.65914
Product of -5.16244 and 0.
0
Multiply -94431 and -0.54.
50992.74
Product of -1 and 4303215.
-4303215
-28838946 times 1.7
-49026208.2
Work out 18032605 * -0.4.
-7213042
-11 times 9.1376
-100.5136
-2.0553 times 5034
-10346.3802
Work out -17806.598 * 0.
0
Multiply 20948.3 and 893.
18706831.9
Multiply 21.0685 and 0.035.
0.7373975
Product of -43692 and -81.8.
3574005.6
What is the product of 0.73829393 and 0.03?
0.0221488179
Work out -4.611725 * 2.
-9.22345
17850381 times -6
-107102286
Product of -8558.8 and -0.43.
3680.284
Multiply 0.4 and -2229389.
-891755.6
43*4773.81
205273.83
Calculate 20910*2697.
56394270
Calculate 119.62*-73.4.
-8780.108
Multiply 0.12 and 2430216.
291625.92
Multiply 883 and 920.3.
812624.9
Work out -90.8118 * -48.
4358.9664
What is the product of 39 and -426350?
-16627650
Multiply 3.5 and 1194640.
4181240
Work out 0.6 * 19316925.
11590155
-668554.39 times -0.3
200566.317
-0.6 * -780152
468091.2
Product of 5 and 23257.7354.
116288.677
Multiply 48987 and 1450.
71031150
-35348604*5
-176743020
Product of 12.79 and 11.63.
148.7477
476100128*-3
-1428300384
Multiply -174.2 and 0.01533.
-2.670486
Product of -3168 and 163.
-516384
1425076 * -0.03
-42752.28
Work out -320474 * -4.
1281896
What is the product of -4 and -30.7184?
122.8736
Calculate 1293350*0.4.
517340
Product of -933950991 and -5.
4669754955
Calculate -0.00633*12.77.
-0.0808341
What is the product of -90096 and 143?
-12883728
Multiply 10879.72 and 3.
32639.16
What is -985 times 11547?
-11373795
0.3*3805901
1141770.3
0.5*920886
460443
What is the product of 0.2 and 317.565?
63.513
What is 2.0408 times 781?
1593.8648
Multiply 93139 and -0.9381.
-87373.6959
Multiply -25.87 and 781.4.
-20214.818
Work out -0.155 * 70.612.
-10.94486
6639.5 times -148
-982646
What is -357960.6 times 13?
-4653487.8
-2171446 times 0.12
-260573.52
Product of 1096310 and -21.
-23022510
Multiply -4 and -198499.925.
793999.7
What is 3.711537 times 0.1?
0.3711537
-6705265 times -0.13
871684.45
Product of -0.2 and -2090183.
418036.6
Product of 2 and 66441552.
132883104
Work out 56387253 * -0.1.
-5638725.3
5.357*-7089
-37975.773
What is 85586697 times 5?
427933485
What is -16 times 2.73938?
-43.83008
635 times -659.5
-418782.5
What is the product of 3853.173 and -1?
-3853.173
Calculate 11689*-3115.
-36411235
-15.456 * 63002
-973758.912
Calculate 1.28*30292.
38773.76
8 times -3427451
-27419608
37238532 times 0
0
Calculate 50590*2.96.
149746.4
-609 * 1470.21
-895357.89
What is 0.6 times -8844660?
-5306796
Multiply -191 and 79.96.
-15272.36
Work out -4 * -11300808.
45203232
-4 times -116871410
467485640
0.8*2513669
2010935.2
Calculate 297355*-1187.
-352960385
Calculate -3*-34872754.
104618262
2 times 218146960
436293920
Multiply -544196 and 29.
-15781684
Product of -43812636 and 0.04.
-1752505.44
-0.426 * 12296.2
-5238.1812
-203698 * 1.73
-352397.54
Work out 33223 * -672.
-22325856
-0.033 * -306856
10126.248
-0.241 times 18.5972
-4.4819252
What is the product of -0.97512 and 11?
-10.72632
-18 * 73533
-1323594
What is the product of 161.1 and 909?
146439.9
What is -12144 times -0.1687?
2048.6928
What is the product of 22338.9 and 1.7?
37976.13
What is 10999 times 6517?
71680483
Calculate -0.077183*2.54.
-0.19604482
66353*0.0604
4007.7212
-916 times 23133
-21189828
Work out 252 * 44.9288.
11322.0576
226.3*-158202
-35801112.6
Work out 1968.59 * -1.71.
-3366.2889
-254 * -0.153672
39.032688
Calculate 297.9*90 | {
"pile_set_name": "DM Mathematics"
} |
Round q to the nearest 1000.
76000
Let f be (-1170032)/(-6) - 50/(-75). Suppose -f = -u + 2*m, 3*u + 2*m = 5*m + 585009. What is u rounded to the nearest ten thousand?
200000
Let j = 44 - 42. Suppose 0 = -3*o - 2*x + 72 + 103, 2*x + j = 0. Suppose t - 60 = 4*f, o = 3*t - 5*f - 93. What is t rounded to the nearest ten?
40
Let u = -207 - -205. Let f be (u - -3)*(-75493 - 7). What is f rounded to the nearest 1000?
-76000
Let d(j) = -j. Let g(z) = -4174996*z - 8. Let m(s) = 6*d(s) + g(s). Suppose 58*i + 24 = 52*i. Let h be m(i). What is h rounded to the nearest 1000000?
17000000
Let i = 1109948.7 - 141497.7. Let n = -968465.00017 + i. Let c = -14 - n. Round c to 4 dps.
0.0002
Let d = 10699.351 - 5.351. Let l = 10694.10926 - d. Let o = 0.115 - l. What is o rounded to 3 decimal places?
0.006
Let f = 94 + -103. Let p(g) = -223650*g**3 + 2*g**2 + 18*g - 9. Let j be p(f). Suppose -5*m = 25, -4*b - 3*m = j + 25359174. Round b to the nearest one million.
-47000000
Let c = 827.700013747 - 827.7. What is c rounded to 7 decimal places?
0.0000137
Let r(q) = 14*q + 9. Let s(j) = 6*j**3 + j**2. Let m be -2 - -1 - -4*1/2. Let c be s(m). Let h be r(c). What is h rounded to the nearest 10?
110
Let t = -9.4241 + 12.89. Round t to 1 decimal place.
3.5
Let a = 442 + -440.99. Let w = -0.9226 + a. What is w rounded to three decimal places?
0.087
Let r = -48903812323.63753683 + 48903812016. Let b = 0.36600317 - r. Let t = b - 308. Round t to four dps.
0.0035
Let a = 113726336.000246 + -113726221. Let d = -248 - -133. Let h = a + d. What is h rounded to 5 decimal places?
0.00025
Let k = -0.10859094 - -0.10867. Round k to 5 decimal places.
0.00008
Let x = -248 + 592. Let p = x + -342.952. What is p rounded to two dps?
1.05
Let d be (-4)/1*(52/(-8) - -6). Suppose -d*n = -5*m + 3*n - 675, -540 = 4*m + 2*n. What is m rounded to the nearest 10?
-140
Let s = 3480.0000461 + -3480. What is s rounded to 4 dps?
0
Suppose -1687 - 24 = j + 3*b, 4*j = -3*b - 6817. Let k = j - 2371. Round k to the nearest one hundred.
-4100
Let z be (0 - 6)/(7 + (-153)/18). Let f be z - (102/8 + 8/32). Let p be -6*(-3000000)/f*1. Round p to the nearest 1000000.
-2000000
Let k(z) = -10108*z**2 + 10*z - 8. Suppose -c - 3 = 5. Let d be k(c). What is d rounded to the nearest 10000?
-650000
Let m = -97292857 + 97292898.9999976. Let p = 181 + -139. Let s = m - p. Round s to 6 decimal places.
-0.000002
Let h = -9.711 + 6.59. Round h to zero decimal places.
-3
Let f = -76031 - -76049.9788. Let o = 26.038 + f. Let p = 45 - o. Round p to 3 decimal places.
-0.017
Let h = 0.546 + -0.5237. Let g = h - 0.01395. What is g rounded to 4 decimal places?
0.0084
Let u = -7893641108.0000621 - -7893640558. Let o = u + 550. Round o to five decimal places.
-0.00006
Suppose 5*x = 6*i - 2*i + 7, -13 = -5*i - x. Let c be (-20714972)/(-44) - (i - (-24)/(-11)). Suppose -2*t = c + 155205. Round t to the nearest 10000.
-310000
Let v be (-8*(-5)/200)/((-1)/(-109616495)). Let o = 42223299 - v. Round o to the nearest 1000000.
20000000
Let y = 16658 + -36678. What is y rounded to the nearest one thousand?
-20000
Let o(h) = -h**3 + 19*h**2 - 32*h + 5. Let j be o(17). Suppose 9*s + j + 51 = 0. Let w be (5/s - -1) + (-40001)/2. Round w to the nearest 10000.
-20000
Let d = -11.33107 + 10.949. What is d rounded to one decimal place?
-0.4
Let h = 2168.8775 + -2169. Round h to two decimal places.
-0.12
Let t = -7.646 + 7.40364. Let a = -0.243 - t. Round a to 4 decimal places.
-0.0006
Let s(x) = -54*x - 8. Let o be (-27)/(-12) - (20/(-16))/(-5). Let l be s(o). What is l rounded to the nearest 10?
-120
Let x = 7300 - 7091.05. Let b = x - 209. Round b to 1 dp.
-0.1
Let a = -8970 + 4502. Let w = 4734.9 + a. Let h = w - 254. Round h to the nearest integer.
13
Let j = 689.823 + -734.01. Let b = j + 0.387. What is b rounded to 0 dps?
-44
Let i = 96 - 160. Let n = -2472.338737 + 2536.33873647. Let o = n + i. Round o to seven dps.
-0.0000005
Let u = -0.4528 + -74.0072. Round u to the nearest ten.
-70
Let p = 26070 + -26069.90017. Round p to 3 decimal places.
0.1
Let g = 64.413 - -21.728. Let t = g + -94.13462. Let j = 8 + t. Round j to three decimal places.
0.006
Let z = -281.0281 - -0.0281. Let l = 280.68440068236 - -0.31559588764. Let s = z + l. Round s to seven dps.
-0.0000034
Let m = -358 + 184. Let v = 174.00000113 + m. Round v to 7 decimal places.
0.0000011
Let l be 32/112 + (91963180/(-28) - 1). What is l rounded to the nearest ten thousand?
-3280000
Let k = -495.98336871 - -0.03196871. Let c = k + 496. Round c to 1 decimal place.
0
Let o be ((-148)/(-18))/2 - 47/423. Let t be 252/(-3)*(892/8 - o). Round t to the nearest 1000.
-9000
Let m = -8145006.5332 + 8147472. Let q = 2466 - m. What is q rounded to two dps?
0.53
Let h = -10007 + 10007.0000007049. What is h rounded to 7 dps?
0.0000007
Let y = -24571 + 26284.954. Let w = y - 1717.9540208. Let r = -4 - w. Round r to 6 decimal places.
0.000021
Let b = 347144264 + 798675736. What is b rounded to the nearest one million?
1146000000
Let g = 653 + -464. Let q = -1.9 - -88.3. Let c = q - g. Round c to the nearest ten.
-100
Let t = 933.9 + -0.9. Let x = t + -933.01262. What is x rounded to 3 decimal places?
-0.013
Let v = -0.5289 + 0.58. Let m = 0.1393 + -0.0404. Let u = v - m. Round u to three decimal places.
-0.048
Let x be (0 + -1)/(4/(-16)). Suppose -2*l = -351020 - 236980. Suppose -3*i = -2*g - 3*g - 441000, 2*i - l = x*g. What is i rounded to the nearest 10000?
150000
Let f = 36285462.99999776 + -36285534. Let r = 86 + -157. Let v = r - f. Round v to 7 decimal places.
0.0000022
Let z = -5369313176.9809776 - -5369285192. Let c = 27985 + z. Let n = 0.019 - c. What is n rounded to six decimal places?
-0.000022
Let d = -2590.083933 - -2590.1. What is d rounded to four dps?
0.0161
Let n = 1.3480611 - -5722856.6519389. Let t = n + -5722885.80231. Let u = t + 27.8. Round u to four decimal places.
-0.0023
Let w = -94338516.55 - -94337512.5502594. Let r = -1004 - w. Round r to 5 dps.
-0.00026
Let o = 9191484.2500069 + -9191485. Let m = -0.75 - o. What is m rounded to 6 dps?
-0.000007
Let k = -5695.93494 + 6000.934951. Let s = -305 + k. Round s to six decimal places.
0.000011
Let l(m) = m**2 - m + 1. Let v be l(2). Let j be (7/14)/(1/8). Suppose -4*p - 263985 = v*u, -p - j*p - 4*u - 329980 = 0. Round p to the nearest ten thousand.
-70000
Let x(t) = -9 + 12 + 19 + 410*t - 73*t. Let c(r) = 5*r**3 - 3*r + 2. Let f be c(1). Let g be x(f). Round g to the nearest 100.
1400
Suppose 26*k + 9 = 25*k. Let g(j) = -1. Let d(l) = 57777*l - 3. Let p(x) = d(x) + 4*g(x). Let n be p(k). What is n rounded to the nearest 100000?
-500000
Let q = -2145.46 + 2151. Round q to the nearest integer.
6
Let z = 12895905 + -12896685.9601. Let l = z - -781. What is l rounded to two dps?
0.04
Let y = -243 - -41. Let i = y + 201.9999904. Round i to five dps.
-0.00001
Let k = 559841 - 559413.819. Let v = k - 399.75. Let g = 0.069 + v. What is g rounded to the nearest integer?
28
Let a = -4383.953 + 4390. What is a rounded to one decimal place?
6
Let o = -23499.7 + 23454.70032. Let r = -28 - -73. Let j = o + r. Round j to four dps.
0.0003
Let q = -805696683 + 805696898.9999396. Let w = q - 216. What is w rounded to six dps?
-0.00006
Let i = 107751.098 + -109230.9. Let b = -1481 - i. What is b rounded to 1 decimal place?
-1.2
Let x = 25280 - 26151.7. What is x rounded to the nearest one thousand?
-1000
Suppose 13*f - 17*f + 16 = 0, -5*q + 1061004 = f. Let p be (10*q)/(2*4/40). Round p to the nearest 1000000.
11000000
Let y = 40 - 40.02. Let w = y - -71.02. Let i = w + -71.0003. What is i rounded to 3 dps?
0
Let r = -23.292 + 11.283. What is r rounded to zero decimal places?
-12
Let l = -0.0803 - 74.9197. Let j = -74.6054902 + -0.3940698. Let s = l - j. Round s to four dps.
-0.0004
Let o(l) = -8841*l**3 - 740*l**2 + 6*l - 19. Let u be o(7). Round u to the nearest 10000.
-3070000
Let n(j) = 7388887*j**2 + 20*j - 27. Let z be n(9). Suppose -232*m - z = -227*m. What is m rounded to the nearest one million?
-120000000
Let g(f) = 809706*f - 578. Let p be g(13). What is p rounded to the nearest 1000000?
11000000
Let n = 257.113329 - 257.15. What is n rounded to two decimal places?
-0.04
Let s = 1.5 - 2.02. Let v = -1452044.96 - -1452044.4 | {
"pile_set_name": "DM Mathematics"
} |
Is 157 at most as big as 965?
True
Are -1/3 and -619/163 equal?
False
Which is smaller: -74/5633 or 0?
-74/5633
Which is smaller: -2153 or 58?
-2153
Are -995301 and 2/3 equal?
False
Is -4040300 at most -4040302?
False
Is -29240 <= -29240?
True
Which is greater: -1/1346021 or 1?
1
Which is bigger: -1626 or 1/27?
1/27
Which is smaller: 66697 or 66705?
66697
Which is smaller: 1 or 66/1501?
66/1501
Is -8805 at least as big as -8794?
False
Is -3339 >= -3339?
True
Is 1561 != -612?
True
Which is smaller: -1 or 15668?
-1
Is -8/7631 at most 1?
True
Which is smaller: 19037 or 5?
5
Which is bigger: 99613 or 39?
99613
Which is smaller: 1 or 1/1754571?
1/1754571
Are -72/97327 and -1 nonequal?
True
Is -85/3086 greater than 1?
False
Which is smaller: 0 or 2/3235543?
0
Which is smaller: 1 or 255/25054?
255/25054
Which is bigger: -1215 or -356?
-356
Is -2722397 > 0.1?
False
Which is greater: 7771 or 7773?
7773
Is 4691 greater than or equal to 258044/55?
False
Which is bigger: -617291/7 or -88183?
-88183
Is -9761794 less than or equal to -9761794?
True
Are -114174 and -114175 non-equal?
True
Which is smaller: -2/59 or 2/303?
-2/59
Do 3364 and 2/403 have different values?
True
Is 5 less than 238908?
True
Is -558/25 at most as big as 129?
True
Is -11/4 >= 7.4495?
False
Are 121 and 1459/12 equal?
False
Which is greater: 11568 or 11567?
11568
Which is smaller: 3 or 1675/1052?
1675/1052
Is 0 at least as big as 2/119455?
False
Which is bigger: -6201139 or -6201140?
-6201139
Is 18206 > 18207?
False
Which is bigger: -34272.3 or 4?
4
Which is smaller: -76162 or -76159?
-76162
Is -839 smaller than 1.1?
True
Does -54164 = -54165?
False
Which is smaller: -2459 or -63913/26?
-2459
Is 6/954263 smaller than 1?
True
Does -109/1594 = 1?
False
Do -269 and -20 have the same value?
False
Are -26836/109 and -246 non-equal?
True
Which is bigger: 2306 or 2313?
2313
Which is bigger: 132498 or 0.1?
132498
Which is smaller: 1 or -3/127813?
-3/127813
Is 211 < 3994/19?
False
Which is smaller: -0.1 or 176586?
-0.1
Which is bigger: -158088 or -158095?
-158088
Are -0.04 and 130/3 unequal?
True
Which is smaller: 1/76809 or 0?
0
Which is greater: 0 or -12/25423?
0
Is 21293 <= 21295?
True
Is -4216 less than -71687/17?
False
Which is greater: -565178 or -5?
-5
Is -198 at least as big as -1604?
True
Which is smaller: 191873 or 767489/4?
767489/4
Which is smaller: 2286 or 2183?
2183
Which is bigger: -947 or -908?
-908
Is -18 bigger than -3129.6?
True
Is -47887 less than or equal to -47885?
True
Is 13/4 > -82784?
True
Which is greater: -159598 or -159595?
-159595
Which is greater: 210564 or -4?
210564
Which is smaller: 81/2 or -0.0602?
-0.0602
Is 113 at least as big as 9.94?
True
Which is greater: -2174555 or -2174554?
-2174554
Which is smaller: -75549 or -75552?
-75552
Which is smaller: 1.385 or 118?
1.385
Which is greater: 18084 or 18087?
18087
Which is smaller: 1954/87 or 21?
21
Is -1/143684 less than 1?
True
Which is bigger: 8 or 2898/335?
2898/335
Is 13282/3 < 4427?
False
Which is smaller: -1240 or -284?
-1240
Which is smaller: 12935 or 64671/5?
64671/5
Which is smaller: 21402 or 21404?
21402
Is -8196 greater than -8196?
False
Which is smaller: 1/3416009 or 1?
1/3416009
Are 2454648 and 2454652 nonequal?
True
Is 1419.4 greater than 5?
True
Which is smaller: 273 or 671/4?
671/4
Which is bigger: -21060 or -21057?
-21057
Which is smaller: -6/47 or -14/3?
-14/3
Is 28553 at least as big as 28553?
True
Which is smaller: -3977/8 or -498?
-498
Which is smaller: 1 or -7/42439?
-7/42439
Which is smaller: -994 or -446?
-994
Are -5583/328 and -18 nonequal?
True
Is -20 at most as big as -27039?
False
Is 6412 != 6491?
True
Which is greater: 586 or -53?
586
Which is bigger: -2036/7 or -290?
-290
Which is greater: 10 or 24486/2383?
24486/2383
Which is smaller: 5587 or 117338/21?
5587
Which is bigger: 7/6 or 10/4509?
7/6
Is -22 greater than 90/7?
False
Which is bigger: 17.1529 or 1/2?
17.1529
Do -259/163 and 2 have the same value?
False
Is -75377 < -75375?
True
Which is greater: 1812942/5 or 362589?
362589
Is -31 at most 142?
True
Which is smaller: -1 or 13/2954?
-1
Do -389675 and -2/7 have different values?
True
Which is smaller: -1636 or -34/7?
-1636
Which is smaller: -4133 or -4147?
-4147
Is -94204 < -94204?
False
Which is bigger: 0.03 or 71360/11?
71360/11
Is 206917 > 206917?
False
Are 21100 and 63302/3 equal?
False
Is 4693 < 84467/18?
False
Is 32439 greater than 32438?
True
Which is greater: 2 or 161/187?
2
Is 4.497 at least as big as -39?
True
Which is bigger: 0 or 4608/3617?
4608/3617
Is 48577 > 48577?
False
Does 18/7 = -4/1777?
False
Is 1 >= -23931?
True
Which is greater: -670432/13 or -51573?
-670432/13
Is 1017 bigger than 31531/31?
False
Which is bigger: -1/4 or -74181?
-1/4
Is -17/41966 not equal to 0?
True
Is -16.24 greater than or equal to -103?
True
Is -807/7741 not equal to -1?
True
Is -1/935288 > 0?
False
Which is smaller: 76/11 or -0.134?
-0.134
Is -1763 at least as big as -1772?
True
Which is greater: 2106015 or 2106016?
2106016
Which is greater: 331 or 786?
786
Is -77081 less than -77077?
True
Which is bigger: 39243/25 or 1569?
39243/25
Are 0.1 and 7/20159 equal?
False
Is 10164 at least as big as 10172?
False
Do -1 and -2/2687 have the same value?
False
Which is greater: -1162/4461 or 0?
0
Is -1.9 greater than or equal to 1948/9?
False
Which is greater: -727 or -52996/73?
-52996/73
Is 822/391 >= 1?
True
Is -22525 less than -22491?
True
Which is smaller: -14900/237 or -63?
-63
Which is smaller: 57/12463 or -1?
-1
Which is greater: -3834 or -2?
-2
Which is smaller: 9543 or 9530?
9530
Which is bigger: -1902 or -1913?
-1902
Is -521 at least as big as -2725?
True
Which is greater: 3/4030 or 1?
1
Is 6865 at least as big as 6865?
True
Which is smaller: 14584 or 0.1?
0.1
Is -5729 less than or equal to 18?
True
Which is smaller: -6962 or -7252?
-7252
Is 3 smaller than 2714.43?
True
Which is bigger: 77 or 477?
477
Which is bigger: 87938 or 87939?
87939
Is -73 greater than -369?
True
Is -6173 greater than -6194?
True
Which is greater: 27/65 or -21?
27/65
Are -1 and 513150 equal?
False
Which is smaller: 5098 or 11?
11
Is -0.2 bigger than -36.7325?
True
Is 0 > 204/11?
False
Is 1206 < 1177?
False
Is -38 equal to -1825/47?
False
Is 202848 greater than 202850?
False
Does 120324/43 = -2?
False
Which is greater: -4.03 or -79?
-4.03
Are 1 and -58/3047 nonequal?
True
Are -272110 and -272110 non-equal?
False
Is 0 at least as big as 443/991?
False
Are 28150/117 and 240 equal?
False
Which is greater: 88245 or 88242?
88245
Which is bigger: 3323433 or 3323432?
3323433
Is -16 at least as big as -122898?
True
Is 1/3 < -321814?
False
Which is bigger: 5/2 or -1418?
5/2
Which is greater: -0.1 or 80234?
80234
Which is bigger: -2566510 or -2566512?
-2566510
Which is smaller: 191051/4 or 47764?
191051/4
Are 0 and 36/43205 equal?
False
Which is smaller: 410 or -1504?
-1504
Is -111003 != -222007/2?
True
Is -466191 >= 2?
False
Is 0 less than or equal to 0.0358464?
True
Does 5401199 = 5401198?
False
Is -916/39 bigger than -23?
False
Which is bigger: -1 or -312/5185?
-312/5185
Are 0 and 25/27787 non-equal?
True
Which is bigger: -58041/70 or -830?
-58041/70
Is 372019 equal to -3?
False
Are -7 and 7/10060 unequal?
True
Which is bigger: 1966/1137 or 1?
1966/1137
Is 328695 < 328695?
False
Do 11093/3 and 3697 have different values?
True
Is 49/524 <= 1?
True
Is 3975 greater than 31809/8?
False
Which is smaller: 2/7810899 or 1?
2/7810899
Is 120 equal to 13704/113?
False
Which is greater: 67147/6 or 11190?
67147/6
Is 1 equal to -2/17725191?
False
Which is bigger: 0 or -128/4333?
0
Do -1 and 21/827422 have the same value?
False
Which is greater: -7912 or -102874/13?
-7912
Is 88 greater than 4041/5?
False
Which is smaller: 0 or -287/1605?
-287/1605
Which is bigger: -4466188 or -4466189?
-4466188
Which is greater: -2.26465 or -0.1?
-0.1
Is -25030 > 52?
False
Is -6253 less than -6256?
False
Is 1 greater than -3/190241?
True
Is -827694/17 less than or equal to -48689?
False
Is -6541 <= -379449/58?
False
Is 58325 smaller than 58324?
False
Is 494 at most -1/2284?
False
Which is bigger: 0 or -49/9739?
0
Which is smaller: 263/13 or -4?
-4
Which is smaller: 0 or 8/35?
0
Which is bigger: 549/62 or 9?
9
Which is smaller: 446321 or 0?
0
Which is | {
"pile_set_name": "DM Mathematics"
} |
- 2. Let m be t(5). Let f = m - 74. Solve -f*r + 17 = 5 for r.
3
Suppose -3*h - h + 20 = 0. Let p be (h/(-15))/(2/(-108)). Let s = p + -14. Solve -2*i - s = 2 for i.
-3
Let a be (-8)/36 - (-685)/45. Solve -4*d + 3 - a = 0 for d.
-3
Let o(k) = 6*k + 3. Let d be o(3). Let f = d + -19. Solve 4 = -2*s - f for s.
-3
Let s = 245 + -243. Solve 0 = -s*h + 6*h - 12 for h.
3
Suppose 229 - 271 = -14*h. Solve 12 = -3*f + h for f.
-3
Let h(w) = -2*w - 8*w + 9*w - 2*w**3 - 7 + 4*w**2 - 24*w**2. Let g be h(-10). Solve -4 + g = -n for n.
1
Let f be -6 + (3 + -11)/(-4). Let l = 3 - f. Suppose -p = -u + 1 + l, 2*p = -8. Solve 2*i + 2*i = -u for i.
-1
Let k(j) = 2*j**2 + 3*j + 3. Let l(w) = 2*w**2 + 4*w + 4. Let o(n) = 4*k(n) - 3*l(n). Let v be o(2). Let s be v/(-24)*(-8 + -1). Solve -s*y + 4 = 10 for y.
-2
Suppose -3*z = -7*z. Suppose -k + 7 + 0 = z. Let l = k - 7. Solve l = -2*b + b + 2 for b.
2
Let w(z) = -z**3 + 18*z**2 - 34*z + 37. Let o be w(16). Solve -o*v + 0*v + 5 = 0 for v.
1
Suppose -169*t + 152*t = -34. Let s = 8 - 6. Suppose 2*j - 18 = 4*i, -j - j + s = 4*i. Solve -t*m = -j*m + 15 for m.
5
Suppose 4*w + 145*l - 143*l - 80 = 0, 26 = w + 2*l. Solve -28 + w = 5*x for x.
-2
Suppose 2*v + 3*k = 11, 4*k + 8 = -4. Solve 0 = -v*a + 14*a for a.
0
Let i(f) = f**3 - 5*f**2 + f + 8. Let m be i(5). Let l(t) = t**3 + 4*t**2 - 5*t + 5. Let x be l(-5). Suppose 0 = -4*c + 6 + 6. Solve c = x*s + m for s.
-2
Let r be (-1)/(-5) + 833/85. Solve -r = 3*z + 2*z for z.
-2
Let t(n) = n**2 - 1. Let p(i) = -3*i**2 + 11*i + 16. Let q(u) = p(u) + 2*t(u). Let f be q(12). Solve 0*k = f*k - 10 for k.
5
Suppose 2*f = -5*n + 3*f + 72, -36 = -2*n + 4*f. Let v be (-3 - (-2 + -3)) + 2. Suppose v*g - n = 2. Solve -g = 3*l + 2 for l.
-2
Let f = 69 + -67. Let b be (8/10)/(7/(-35)). Let d = 8 + b. Solve 0 = -d*a + f*a - 10 for a.
-5
Let u be -124 + (-224)/48*6/(-7). Let w be (-1 + 3/(-15))/(18/u). Solve q = -q + w for q.
4
Let o(u) = 6*u - 59. Let z be o(13). Solve -v - z = -15 for v.
-4
Let r be ((-32)/208 - 0) + (-7945)/(-13). Solve 3*o - r + 608 = 0 for o.
1
Let l = -3 - 3. Let x(g) = -g**2 - 6*g - 2. Let q be x(l). Let r be 1/((q - 1)/(-3)). Solve 0 = w - 0 - r for w.
1
Let j = -3 + 8. Let p be (2 + (-15)/3)*-1. Suppose 7 = j*b - p. Solve -b*h = -5*h - 3 for h.
-1
Suppose 0 = -3*g - h + 9, 5*h - 18 = -3*g + 3. Let a be 2*g/((-6)/(-3)). Solve -5 = a*n - n for n.
-5
Let q = 199 + -197. Solve q*u - 4*u - 6 = 0 for u.
-3
Let x be ((-48)/(-1 - -3))/(-1). Let y be (-1)/(0 + (-4)/x). Suppose -t = -y*t. Solve t + 2 = d for d.
2
Let f(s) = 2*s**2 - 15*s + 17. Let i(a) = a**2 - 8*a + 9. Let m(d) = 3*f(d) - 5*i(d). Let b be m(4). Suppose 1 = -t + b. Solve -3 = -p + t for p.
4
Let f = 113 + -98. Solve 5*g = 8*g + f for g.
-5
Let o be -6*((-2)/4)/(12/16). Solve o = 6*g - 14 for g.
3
Suppose 100*u + 170 = 5*d + 95*u, -176 = -5*d - u. Solve d = 14*s - 21*s for s.
-5
Let w(t) = -7*t**3 + 13*t**2 + 4*t + 11. Let i(m) = -m**3 + m**2 + m. Let g(p) = 6*i(p) - w(p). Let a be g(7). Solve 0*h = -3*h + a for h.
1
Let q = 1 - -1. Let h = 3 - -1. Suppose 3*a - 8 = h. Solve -z + q*z = -a for z.
-4
Let o be (-4)/8 - 1/(-2). Solve -r - 3*r + 4 = o for r.
1
Let z = 36 - 77. Let i = z - -48. Solve -i*o = -2*o - 25 for o.
5
Let j = -66 + 67. Let g(t) = -t**3 - 2*t**2 + 2*t + 1. Let x be g(j). Solve l + 3*l + 12 = x for l.
-3
Let y = 0 + 5. Let d(z) = -z + 7. Let a be d(y). Solve -a*h - 6 = h for h.
-2
Suppose -k + 20 = h - 3*k, -k = 2*h - 40. Let i = h + -17. Solve o = -i*o - 20 for o.
-5
Let o(y) = y**2 + 15*y + 38. Let u be o(-8). Let v be 2/6 + (-174)/u. Solve 6 + v = 4*q for q.
4
Let i be 10*(114/15 - 7) - -7. Solve 10*c = i*c - 9 for c.
3
Suppose -6*s - 20*s + 52 = 0. Solve s*t + 0 = 4 for t.
2
Let w(x) = x**3 - 5*x**2 + 6*x + 2. Let f be w(4). Suppose -2*r = 2 - f. Let v be 2/6 + 22/6. Solve -v*k + 0 = r for k.
-1
Suppose -91*d + 11 = -87*d - 5*i, d = 4*i. Let f = -1 - -4. Solve -d*m - 1 - f = 0 for m.
-1
Let g be 2 - -3 - -2*2/(-4). Solve -15 = b - g*b for b.
5
Let p = -1743 + 1760. Solve -17*o + p = -0*o for o.
1
Suppose g - 3*k + 8 + 6 = 0, 2*k = 8. Let s be (g/3)/((-1)/15). Let t be (-135)/60*(-16)/18. Solve -2*l = -s + t for l.
4
Suppose 2*p + 0 - 7 = r, 0 = r + 1. Let k(v) = 14*v - 14. Let h(w) = 16*w - 15. Let u(s) = -6*h(s) + 7*k(s). Let z be u(8). Solve -p*x - x = -z for x.
2
Let i(g) = -g**3 + 3*g**2 + 10*g + 12. Let y be i(0). Solve -11*x + y = x for x.
1
Suppose -t = 2*t + 3*x - 792, 2*t - 5*x = 556. Solve 0 = t*u - 266*u - 8 for u.
4
Let z(q) = 2*q**3 + 2*q**2 - 6*q + 4. Let a be z(3). Let h = a - 51. Solve 0 = -g - 2 + h for g.
5
Suppose 0 = 6*t - 27 - 9. Suppose -4*k = q - 12, -2*q - t = q - 2*k. Solve -2*i + 7 + 3 = q for i.
5
Suppose g - 144 = 5*i + 86, 3*i + 155 = 4*g. Let w be (-9)/(i/(-10)) + 6. Solve w*d + 1 = 9 for d.
2
Let h(g) = g - 4. Let p be h(3). Let t be p/(-5) - 76/(-20). Let x(r) = r**3 - r**2 - r - 2. Let v be x(2). Solve -t*o - 16 = -v for o.
-4
Let w(t) = -t**3 + 3*t**2 - 2*t. Let f be w(2). Suppose -4 = -f*k - k. Suppose -k*r + 0*r - 12 = 0, -2*j - 5*r - 11 = 0. Solve -j*n + 10 = -0 for n.
5
Let z = -615 - -625. Solve -l = l - z for l.
5
Let c be ((-4)/2)/(4/8) + 12. Let k(b) = b**3 - 9*b**2 + 9*b - 6. Let q be k(c). Solve -q*t + 6 = -0 for t.
3
Let j = -14 - -15. Let z(g) = g**3 + 12*g**2 - 13*g. Let t = 1 - 14. Let a be z(t). Solve -i + 3 - j = a for i.
2
Suppose 2*m - 3*m = 3. Let h = m - -9. Solve -z + h = 1 for z.
5
Suppose -g + 0 = -2. Let x be (1 - 2)*(3 - (9 + -4)). Let d be 13 - (x + -1 + g). Solve 0*j - d = 5*j for j.
-2
Let p(z) = -1. Let d(m) = m**2 + 4*m. Let b(y) = d(y) - 3*p(y). Let u be b(-3). Solve u*v + 10 = 2*v for v.
5
Suppose 2*c + 4 = -2*b + 14, -5*c - 4*b = -30. Let w(m) = 4*m**2 + 5*m**2 - c*m**2 + 1. Let a be w(-1). Solve 4*p - p + 15 = a for p.
-5
Suppose -2*r = 2*c - 28, -183*c + 182*c - 3*r = -14. Solve 0 = 21*a - c*a for a.
0
Let t = 2066 - 2062. Let w be (-6)/(-4)*20/6. Solve -t = -w*y - 14 for y.
-2
Let l = 52 - 47. Suppose -21 = -3*w - 3*o, l*w + 2*o + 0 = 20. Solve -w*s = -s + 3 for s.
-3
Let v = 6 - -2. Suppose 2 + 7 = 3*d. Suppose -5*t + d = -b, 3*b = 5*t - 2*t - 9. Solve -4*l + t = v for l.
-2
Let b(v) = 3*v + 3. Let u be b(8). Let r = u + -23. Solve -15 = -7*g + r*g for g.
5
Let t = -1447 - -1467. Solve -5*c - t + 35 = 0 for c.
3
Suppose 0 = -2*a + 3*d - 11, -5*d = 2*a - 0*a - 29. Let g be (-3)/(12/(-16)) - (-3 + a). Solve -g*j + 2*j = 9 for j.
-3
Suppose 88 - 81 = v. Solve -3*i + 10 - v = 0 for i.
1
Suppose 31 - 61 = -10*f. Solve f*i - 1 + 4 = 0 for i.
-1
Suppose -21*n + 60*n = 507. Solve 4*h = n*h - 9 for h.
1
Let s be 7 + (-2)/((-3)/(-3)). Let x = s + -3. Let u = 145 - 133. Solve 0 = -x*d - 2 + u for d.
5
Let q be (-8)/4*(-138)/(-12). Let v = -20 - q. Solve v*l - l = 0 for l.
0
Let i be (-4)/(-8)*((168 - -5) + -7). Solve 1 = -82*z + i*z for z.
1
Let b = -107 - -115. Let j be 2*(0 + b/4). Solve 3*c - j = -c for c.
1
Suppose 5*a + 43 = 3. Let s be (17/4)/((-2)/a). Let c = s - 11. Solve 4*z = -26 + c for z.
-5
Suppose -5*n - 2*l - 58 = 0, 2*n = 4*l - 4 - 24. Suppose -23*m - 25 = -18*m. Let f be (-1)/m - n/15. Solve 3*s = f + 2 for s.
1
Let j(d) = 6*d - 11. Let q be j(4). Suppose q*y - 32 = 241. Solve 5*h + 6 = y for h.
3
Suppose 3*w = 20 - 5. Let h be 32/(-40) - (-129)/w. Solve -2*a = 3*a - h for a.
5
Let b = -52 + 84. Let v be 6*(-4)/b*-4. Solve -3 = -3*g + v for g.
2
Suppose 2*a - 26 = -c, -3*a = 6*c - 2*c - 49. Solve 0 = -4*v - a + 15 for v.
1
Suppose -5*r + 10 = 0, -17*p + 13*p = 2*r - 52. Solve 16 = -4*k + p for k.
-1
Suppose 2*d = -m + 80, 34*m - 39*m + 154 = 4*d. Solve -9*z - d = -50 for z.
1
Suppose h - u + 1 = -2*u, 4*u + 24 = h. Suppose -2*r - 71 = -5*w, 5*w + 3*r = 63 - 7. Suppose -z = s - 9, s = -h*z + 2*z + w. Solve -3*k = -z*k for k.
0
Let i(w) = w**2 - 8*w - 7. Let s be i(9). Suppose -19 = s*g - 4*g + 5*y, 0 = -5*g - 2*y + 4. Suppose -9*d + 23 + 58 = 0. Solve g*x - d = -x for x.
3
Suppose g + 4*g = 15. Suppose 5 - 1 = g*v + 4*w, 0 = 2*v - 2*w - 12. Let c(k) = k**3 - 2*k**2 + 2. Let u be c(2). Solve -14 = -v*d - u for d.
3
Suppose 8 = -7*h - 104. Suppose -3*j = -j + 30. Let u = j - h. Solve 0 = -3*m + 10 - u for m.
3
Suppose -7 + 17 = 2*d. Suppose -3*a + 4*s + 20 = -0*a, -d*a + 15 = -3*s. Solve a*k = -k + 3 for k.
3
Suppo | {
"pile_set_name": "DM Mathematics"
} |
311. What is the highest common divisor of l and m?
1
Let v(w) be the first derivative of -w**3/3 + 33*w**2/2 - 63*w - 191. Let i be v(26). Calculate the highest common divisor of i and 21.
7
Let v(m) = 54*m - 1730. Let w be v(33). What is the greatest common factor of 6 and w?
2
Suppose -3*b = 22 - 127. Suppose -k + 159 = -5*w, 4*k - 2*w - 3*w - 651 = 0. Let v = 178 - k. Calculate the highest common factor of b and v.
7
Let r(i) = 9*i - 181. Let d be r(23). Suppose -3*k + 2*u = -20, -6*k + 2*u + d = -2*k. Suppose -7 = -w + 5. What is the greatest common divisor of k and w?
6
Suppose -5*c = -k - 5, -c = 4*c + 5*k + 25. Let m be 48*(c - 15/(-20)). Let r be ((-12)/(-7))/(m/378). Calculate the highest common divisor of r and 63.
9
Suppose 0 = 5*x - 2*o - 808, 5*o - 15 - 314 = -2*x. What is the highest common factor of x and 846?
18
Let k(h) = 2*h**2 - 11*h - 100. Let j be k(14). What is the greatest common factor of j and 8487?
69
Let n = 139154 + -139148. Let c(g) = 19*g**2 + 3. Let a be c(-3). Calculate the greatest common divisor of a and n.
6
Suppose 10*r = 19*r - 36. Suppose 423 = 4*l - 4*k + 55, -l + 95 = -r*k. Calculate the highest common divisor of 7 and l.
7
Let t be (-3)/(-6)*8*-1. Let z be (-882)/10*(4 - (t + 13)). Calculate the highest common divisor of 126 and z.
63
Suppose -104 - 112 = -9*j. Suppose 23*k - 6 = j*k. Let g(u) = -2*u**2 - 12*u + 12. Let c be g(k). What is the greatest common divisor of c and 24?
12
Let m(w) = 4*w**2 + 4*w - 16. Let u(b) = b**3 + 11*b**2 - 9*b + 39. Let p be u(-12). Let t be m(p). What is the highest common divisor of t and 144?
16
Suppose -2*i = -2*y - 184, -5*i + 8*y + 460 = 7*y. Suppose -i*q + 112*q - 7440 = 0. What is the greatest common factor of q and 24?
12
Let x be (-1 + (-1 - 232))*27/(-54). Calculate the greatest common factor of 4329 and x.
117
Suppose d + 5*j - 88 = 0, -5*d + 644 = 2*j + 135. Calculate the highest common factor of 103 and d.
103
Let m be 12 - 68/12*-147. Calculate the greatest common divisor of 2405 and m.
65
Let j = -255 - -687. Suppose -619*c + 534*c + 1374 = -666. Calculate the highest common divisor of c and j.
24
Let x(d) = d**2 - 2*d - 33. Let v be x(-6). Suppose -4*i = 5*r - 1253, -10*r - 1271 = -v*r + 2*i. What is the highest common factor of 11 and r?
11
Let w = -923 + 508. Let o = w + 705. What is the greatest common factor of o and 20?
10
Suppose -51 = p - u, 0 = 3*p + 4*u - 2*u + 143. Let s be (-9)/(-21) - 7/(p/242). What is the greatest common factor of 7 and s?
7
Let w be (115/20 + -5)/(4/4944). Calculate the highest common divisor of w and 18.
9
Suppose 5*j = 9 + 11. Suppose -4*q + 3*z - 4*z = j, -3*q = 4*z + 16. Suppose -4*p + y + 8 = -p, q = 4*y - 4. What is the greatest common divisor of 1 and p?
1
Let y = 118977 - 118964. Let l(j) = j**2 - 4*j + 5. Let f be l(4). Suppose -4*i = -f*i + 169. Calculate the greatest common factor of y and i.
13
Suppose 0 = 2*v - 5*v + 42. Let q = -111 + 208. Let y = 125 - q. What is the greatest common divisor of v and y?
14
Suppose -1112532 = 411*w - 5038404. What is the highest common factor of 72 and w?
24
Suppose 7*p - 198 = 8*p - m, 0 = -2*p + 3*m - 393. Let n = p + 205. Calculate the greatest common factor of n and 26.
2
Suppose 19*m + 17*m = 216. Suppose 2*q - 3*o - 101 = 0, -m*q + 5*q = -4*o - 48. What is the highest common factor of 65 and q?
13
Let m = 1033 + 397. Suppose 8*a + m = 10*a. Calculate the highest common divisor of 55 and a.
55
Suppose -555*u = -518*u - 148. Let h = 116 + 368. What is the greatest common factor of u and h?
4
Suppose 20*z = -17116 - 4284. Let m = -494 - z. Calculate the greatest common divisor of m and 9.
9
Let t = -336 + 348. Let j be (20/6)/((-8)/(-72)). Let u = j + -6. What is the greatest common factor of u and t?
12
Let w be -2 + 5 + 0 - (-4 - -169). Let h = w + 207. Calculate the highest common factor of h and 495.
45
Let f = -310 + 312. Suppose 3149 = f*p - 5*c, -542 = -5*p - 4*c + 7248. Calculate the highest common divisor of 22 and p.
22
Let h = -10318 - -15066. Suppose -3796 = 4*m + 3*n, -5*m + n - h = 4*n. Let l be m/(-63) - 2/18. What is the highest common factor of 3 and l?
3
Let k be -10*(-6 + 10)*(708/(-30) + 5). What is the greatest common factor of k and 3069?
93
Let o(r) = -24*r + 4*r - 18*r**2 - 17*r**2 + 44 + 33*r**2. Let g be o(-10). What is the greatest common divisor of g and 11?
11
Let r be (394 - 0) + 1/((-7 - 1)/32). Calculate the highest common divisor of 75 and r.
15
Suppose -12*g + 12 = -8*g, 2*g - 1796 = -2*k. Let h = 915 - k. What is the greatest common factor of h and 1220?
20
Let w = 1280 - 371. Suppose -2*s - 936 = -q - 3*q, 2*s + w = -5*q. Let o be ((-6)/(-4))/((-33)/s). What is the greatest common factor of 63 and o?
21
Suppose -3*q = j + 28, -j = -2*j + 4*q. Let g = -3 - j. Suppose -21*p + 33*p - 1248 = 0. What is the greatest common factor of g and p?
13
Let q be (49/14 + -4)*12 - -42. Suppose 0 = -0*y - q*y + 144. Let f = 39 + -23. Calculate the highest common factor of y and f.
4
Let b be (-212)/(-53) - (468/(-3) + 0). Suppose 0*k = -2*q - k + 20, -q + 10 = -3*k. What is the highest common factor of b and q?
10
Let z be (-1905)/(-45) - (-4)/(-3). Suppose -37*v = -z*v + 100. What is the greatest common factor of 30 and v?
5
Let t be (-6)/(-9) - (3 - (3 - 34))/(-3). Calculate the greatest common divisor of t and 31764.
12
Let o be (2 - 1)/(9/(-2133)). Let s = -97 - o. Calculate the highest common factor of 7 and s.
7
Let i = 107 + 71. Let z = 181 - i. Suppose -4*h + 6*r - r + 73 = 0, 0 = 4*h + r - 43. Calculate the highest common divisor of h and z.
3
Let r(m) = -411*m - 123. Let q be r(-1). What is the greatest common divisor of q and 234?
18
Let y(h) = h + 6. Let t be y(-4). Let s be (4053/(-49) - 4/14) + t. Let p be (-2 - -4)/((-9)/s). Calculate the greatest common factor of p and 45.
9
Suppose 3*l - 95 + 29 = 0. Suppose 17*j + 2106 = 23*j. Suppose x - 178 = -2*z, -z = -15*x + 13*x + j. What is the highest common factor of l and x?
22
Let c(b) = b + 48. Let h = -599 - -570. Let k be c(h). Calculate the highest common divisor of 304 and k.
19
Let g = -3 - -7. Let b be (18 - 3)*2320/348. What is the greatest common factor of g and b?
4
Let u be (-2 - -1)*(-5400)/27*2. What is the greatest common divisor of u and 304?
16
Let i be (-21988)/23 + 0 + 4. Let l be (-419720)/i - (-3)/((-102)/(-4)). What is the greatest common divisor of 18 and l?
9
Suppose 3*w + 3*i - 5169 = 0, 7*i = 2*w + 12*i - 3458. Calculate the highest common factor of 9 and w.
9
Suppose 0 = -18*u + 15*u - 63. Let p = u + 25. Suppose -5*q = -4*b + 87, -p*b - 53 = -5*b - 5*q. Calculate the highest common divisor of b and 112.
28
Let b(l) = l**3 - 24*l**2 + 214*l + 18. Let m be b(12). Calculate the greatest common divisor of 363 and m.
33
Let a = 4412 + -4409. Calculate the highest common factor of 753 and a.
3
Let h(k) be the second derivative of k**5/20 + 25*k**4/12 - 29*k**3/3 - 22*k**2 - 109*k. Let l be h(-27). Calculate the greatest common factor of 80 and l.
16
Let r be -4 + 0 - -8 - 4/2 - -764. What is the greatest common factor of r and 1?
1
Let a be (-3)/(-6)*(10 - 2). Suppose d - 3*d + 5*p = 660, 333 = -d + a*p. Let s be 15/6 + d/(-2). What is the greatest common divisor of 33 and s?
33
Suppose 2*u = -21 + 81. Let l be ((-126)/28)/(4/(-440)). What is the greatest common factor of u and l?
15
Suppose 7*s = 3*s - 5*m - 16, m = -5*s - 20. Let r be 8*(-10)/s*1/(-1). Let c be 10/r - 81/(-2). Calculate the greatest common factor of c and 80.
40
Let p = -11207 + 11267. Calculate the highest common divisor of p and 2630.
10
Let i be (-29 + -1)*(-54)/81. What is the greatest common factor of 570 and i?
10
Let q = 2754 + -2054. Calculate the greatest common divisor of q and 425.
25
Suppose 0 = -2*j + 4*x + 12052, 0 = -5*j + 3*x + 17459 + 12685. Suppose -6*o + 73*o - j = 0. Let c = 31 + -21. Calculate the highest common divisor of o and c.
10
Let o be (-1 - 0/(-1)) + -51. Let k = -29 - o. Let y = 197 - -10. Calculate the highest common divisor of k and y.
23
Let f = 515 - 489. Let m be (-7)/(-28) + (-726)/(-8). What is the highest common factor of f and m?
13
Let t be (-525)/6*(-48)/84. What is the greatest common factor of t and 330?
10
Suppose 5*h = -4*o + 93, -38*h - 83 = -43*h + o | {
"pile_set_name": "DM Mathematics"
} |
between 7:48 AM and 1:55 PM?
367
How many minutes are there between 2:24 AM and 11:54 AM?
570
What is 618 minutes before 12:56 PM?
2:38 AM
What is 291 minutes before 8:38 PM?
3:47 PM
What is 191 minutes before 5:18 PM?
2:07 PM
How many minutes are there between 7:52 PM and 2:36 AM?
404
How many minutes are there between 12:26 PM and 4:24 PM?
238
What is 328 minutes after 1:20 PM?
6:48 PM
What is 92 minutes after 11:13 AM?
12:45 PM
How many minutes are there between 6:13 PM and 5:40 AM?
687
How many minutes are there between 7:32 AM and 10:54 AM?
202
What is 388 minutes after 4:36 PM?
11:04 PM
How many minutes are there between 8:46 PM and 10:23 PM?
97
What is 707 minutes before 3:31 PM?
3:44 AM
How many minutes are there between 1:29 AM and 4:22 AM?
173
How many minutes are there between 1:18 PM and 12:15 AM?
657
What is 11 minutes before 7:10 AM?
6:59 AM
What is 172 minutes before 2:36 AM?
11:44 PM
What is 111 minutes before 8:16 AM?
6:25 AM
What is 399 minutes before 7:40 PM?
1:01 PM
What is 391 minutes before 7:38 AM?
1:07 AM
How many minutes are there between 9:45 AM and 2:38 PM?
293
What is 172 minutes after 4:26 AM?
7:18 AM
What is 376 minutes before 7:25 AM?
1:09 AM
What is 692 minutes before 6:16 AM?
6:44 PM
How many minutes are there between 4:31 PM and 5:12 PM?
41
How many minutes are there between 6:45 AM and 3:06 PM?
501
What is 128 minutes before 11:57 AM?
9:49 AM
How many minutes are there between 9:29 PM and 1:39 AM?
250
What is 372 minutes after 11:29 AM?
5:41 PM
How many minutes are there between 9:55 PM and 8:18 AM?
623
What is 320 minutes after 5:39 PM?
10:59 PM
What is 62 minutes before 3:32 PM?
2:30 PM
What is 372 minutes after 10:39 PM?
4:51 AM
How many minutes are there between 7:05 AM and 7:24 AM?
19
What is 44 minutes before 3:02 AM?
2:18 AM
How many minutes are there between 4:47 PM and 12:30 AM?
463
How many minutes are there between 5:47 AM and 10:36 AM?
289
How many minutes are there between 12:38 PM and 11:42 PM?
664
What is 646 minutes before 4:08 PM?
5:22 AM
How many minutes are there between 7:16 PM and 2:59 AM?
463
What is 592 minutes after 1:38 AM?
11:30 AM
What is 115 minutes before 1:10 PM?
11:15 AM
What is 367 minutes after 3:13 PM?
9:20 PM
How many minutes are there between 10:47 AM and 6:06 PM?
439
How many minutes are there between 10:24 PM and 1:28 AM?
184
How many minutes are there between 1:51 AM and 7:51 AM?
360
What is 217 minutes before 1:51 PM?
10:14 AM
How many minutes are there between 7:37 AM and 12:14 PM?
277
What is 418 minutes before 3:04 PM?
8:06 AM
What is 270 minutes after 1:19 AM?
5:49 AM
What is 385 minutes after 12:14 PM?
6:39 PM
How many minutes are there between 8:54 AM and 9:08 AM?
14
What is 624 minutes after 10:58 AM?
9:22 PM
How many minutes are there between 10:26 PM and 8:38 AM?
612
What is 283 minutes before 1:58 AM?
9:15 PM
What is 404 minutes before 7:26 PM?
12:42 PM
How many minutes are there between 4:59 AM and 9:48 AM?
289
What is 342 minutes before 3:45 AM?
10:03 PM
What is 398 minutes before 2:02 AM?
7:24 PM
How many minutes are there between 10:47 AM and 3:49 PM?
302
What is 317 minutes before 6:29 AM?
1:12 AM
What is 136 minutes after 10:42 AM?
12:58 PM
How many minutes are there between 2:47 PM and 1:50 AM?
663
How many minutes are there between 4:41 AM and 3:53 PM?
672
What is 507 minutes after 2:42 AM?
11:09 AM
How many minutes are there between 8:02 PM and 1:04 AM?
302
What is 644 minutes after 7:07 PM?
5:51 AM
How many minutes are there between 6:04 AM and 6:56 AM?
52
What is 675 minutes before 4:37 PM?
5:22 AM
How many minutes are there between 5:47 PM and 7:16 PM?
89
How many minutes are there between 6:30 AM and 11:28 AM?
298
How many minutes are there between 3:21 AM and 5:54 AM?
153
What is 676 minutes after 2:29 PM?
1:45 AM
How many minutes are there between 7:27 AM and 2:51 PM?
444
What is 305 minutes after 8:58 AM?
2:03 PM
What is 19 minutes before 2:57 PM?
2:38 PM
What is 543 minutes before 6:57 AM?
9:54 PM
What is 121 minutes after 8:12 AM?
10:13 AM
How many minutes are there between 3:26 AM and 10:16 AM?
410
What is 690 minutes before 1:20 PM?
1:50 AM
What is 385 minutes after 6:30 PM?
12:55 AM
What is 372 minutes before 2:01 PM?
7:49 AM
How many minutes are there between 6:17 AM and 2:22 PM?
485
How many minutes are there between 10:44 AM and 11:09 AM?
25
What is 399 minutes after 4:58 PM?
11:37 PM
What is 120 minutes before 6:31 AM?
4:31 AM
What is 19 minutes before 9:38 PM?
9:19 PM
How many minutes are there between 6:31 PM and 6:40 PM?
9
What is 341 minutes after 7:48 PM?
1:29 AM
What is 270 minutes after 1:37 AM?
6:07 AM
What is 76 minutes after 12:56 AM?
2:12 AM
How many minutes are there between 3:47 AM and 2:11 PM?
624
How many minutes are there between 3:23 AM and 9:07 AM?
344
What is 19 minutes before 8:36 AM?
8:17 AM
What is 385 minutes after 8:15 AM?
2:40 PM
How many minutes are there between 9:48 AM and 3:32 PM?
344
What is 709 minutes before 7:29 AM?
7:40 PM
What is 448 minutes after 2:55 AM?
10:23 AM
How many minutes are there between 3:28 AM and 1:45 PM?
617
How many minutes are there between 4:21 AM and 11:03 AM?
402
How many minutes are there between 12:48 AM and 9:43 AM?
535
How many minutes are there between 3:10 PM and 1:44 AM?
634
How many minutes are there between 5:43 AM and 7:25 AM?
102
What is 173 minutes after 11:18 AM?
2:11 PM
What is 517 minutes before 4:41 PM?
8:04 AM
How many minutes are there between 10:24 AM and 6:26 PM?
482
What is 535 minutes before 3:51 PM?
6:56 AM
How many minutes are there between 8:43 AM and 1:13 PM?
270
What is 505 minutes after 8:39 PM?
5:04 AM
What is 704 minutes before 10:47 AM?
11:03 PM
What is 35 minutes before 10:17 PM?
9:42 PM
What is 482 minutes before 10:51 AM?
2:49 AM
How many minutes are there between 6:06 AM and 1:04 PM?
418
What is 120 minutes before 3:38 AM?
1:38 AM
How many minutes are there between 2:31 PM and 2:25 AM?
714
How many minutes are there between 9:17 AM and 10:47 AM?
90
How many minutes are there between 9:53 AM and 11:00 AM?
67
How many minutes are there between 10:09 PM and 9:41 AM?
692
How many minutes are there between 7:58 AM and 4:48 PM?
530
How many minutes are there between 9:59 PM and 6:43 AM?
524
What is 538 minutes before 10:11 AM?
1:13 AM
What is 115 minutes after 6:25 AM?
8:20 AM
What is 104 minutes after 9:21 PM?
11:05 PM
How many minutes are there between 9:17 AM and 3:12 PM?
355
What is 501 minutes after 12:04 AM?
8:25 AM
What is 399 minutes before 10:59 PM?
4:20 PM
What is 610 minutes before 3:14 AM?
5:04 PM
What is 240 minutes after 9:59 PM?
1:59 AM
What is 153 minutes before 6:03 AM?
3:30 AM
How many minutes are there between 9:39 AM and 9:10 PM?
691
How many minutes are there between 2:08 AM and 1:39 PM?
691
What is 678 minutes before 2:58 PM?
3:40 AM
How many minutes are there between 6:46 PM and 7:05 PM?
19
How many minutes are there between 11:32 AM and 5:45 PM?
373
How many minutes are there between 9:49 AM and 1:55 PM?
246
What is 51 minutes before 11:49 PM?
10:58 PM
What is 620 minutes before 12:25 AM?
2:05 PM
How many minutes are there between 11:18 AM and 10:34 PM?
676
What is 175 minutes before 3:13 AM?
12:18 AM
What is 69 minutes before 6:30 PM?
5:21 PM
How many minutes are there between 9:28 AM and 11:19 AM?
111
What is 385 minutes after 3:48 AM?
10:13 AM
How many minutes are there between 11:07 PM and 7:23 AM?
496
How many minutes are there between 10:41 PM and 8:50 AM?
609
What is 394 minutes before 11:09 PM?
4:35 PM
What is 166 minutes after 7:23 AM?
10:09 AM
How many minutes are there between 10:56 PM and 5:40 AM?
404
What is 173 minutes before 11:41 PM?
8:48 PM
What is 662 minutes before 12:01 AM?
12:59 PM
What is 360 minutes before 2:55 PM?
8:55 AM
How many minutes are there between 7:40 PM and 4:59 AM?
559
What is 107 minutes before 11:41 PM?
9:54 PM
What is 524 minutes before 9:42 PM?
12:58 PM
What is 466 minutes after 6:12 PM?
1:58 AM
How many minutes are there between 2:39 AM and 3:30 AM?
51
What is 560 minutes after 4:31 PM?
1:51 AM
How many minutes are there between 7:11 PM and 5:10 AM?
599
What is 360 minutes before 3:35 PM?
9:35 AM
How many minutes are there between 1:37 PM and 8:25 PM?
408
What is 525 minutes before 1 | {
"pile_set_name": "DM Mathematics"
} |
5*x = g*x. What is x rounded to six decimal places?
0
Suppose -1222829 = 18*o + 292771. What is o rounded to the nearest 10000?
-80000
Let c = -0.39 - -3.89. Let j = c - 3.4999915. What is j rounded to 6 decimal places?
0.000009
Let c = -56031 + 84197. Let q = 28164.4591 - c. Let w = 1.55 + q. Round w to 3 dps.
0.009
Let m = -15 + 18. Let v be (1550/15)/(m/9). What is v rounded to the nearest one hundred?
300
Let p = -260 - -261.79. What is p rounded to one decimal place?
1.8
Suppose 2*k = -2*k + 24. Suppose -k*i + 15 = -i. Let d(t) = 4445*t**2 - 3*t + 4. Let b be d(i). What is b rounded to the nearest 10000?
40000
Let w(p) = p**2 + 44*p - 82. Let y be w(-34). Round y to the nearest 100.
-400
Let t(v) = -2*v**3 - 12*v**2 - 49*v - 9. Let z be t(-11). What is z rounded to the nearest one thousand?
2000
Let g = 502.02 - 514. What is g rounded to zero decimal places?
-12
Let t = -0.5711 - -0.0981. Let r = t + 0.043. What is r rounded to 1 decimal place?
-0.4
Let q(b) = -79*b**2 + 23*b + 232. Let v be q(-7). Round v to the nearest one hundred.
-3800
Suppose 16 = 2*g + 3*g + 3*d, -32 = -4*g + 4*d. Let u be (4/g)/((-27594)/6900 + 4). What is u rounded to the nearest one hundred?
900
Let t = 7790.83 - 7902. Let y = t + 2.17. Let u = -111.78 - y. Round u to one decimal place.
-2.8
Let z = 12 - 67. Let b = z - -55.0016. Round b to 4 dps.
0.0016
Let q = 1008846.0182 - 1008985. Let o = 137.45 - -1.55. Let c = q + o. What is c rounded to 3 decimal places?
0.018
Let m(h) = -236*h**2 - 13*h - 2. Let v be m(-9). Let o be (1 - 3) + 3 + v. Round o to the nearest ten thousand.
-20000
Suppose -3*f - 467 - 101 = -u, -4*u - 736 = 4*f. Let p = f - -100. What is p rounded to the nearest ten?
-90
Let m = 25.06 + -25. Let c = -5.56 + m. Let x = c - -4.44. What is x rounded to one dp?
-1.1
Let f(w) = -7*w**3 + 21*w**2 + 11*w - 3. Let t(c) = 3*c**3 - 10*c**2 - 5*c + 2. Let r(z) = -2*f(z) - 5*t(z). Let p be r(6). Round p to the nearest 10.
90
Let p = 398.08177 - 398. Round p to 3 decimal places.
0.082
Let t be 98*4/(20/1405). Suppose t = 5*g - 12962. What is g rounded to the nearest one thousand?
8000
Let l = 15 - 13. Let f be 3/((-6)/l) + 15998. Suppose -5*k + o - 2*o = f, 12806 = -4*k + 2*o. Round k to the nearest 1000.
-3000
Let a = -2004 + 2004.2183. What is a rounded to 1 dp?
0.2
Let g = -427523.08788 + 427545. Let v = g - -0.0882. Let t = v + -22. Round t to four decimal places.
0.0003
Let y = 39.428 - 48.7915. Let m = y + 1.6205. Let c = m - -7.7. Round c to two dps.
-0.04
Let y = 2.008 + -2. Let a = -31.73 - -13.238. Let m = a - y. What is m rounded to zero decimal places?
-19
Let s = 1.83 - 1.7992. Let k = s - -0.023. What is k rounded to 3 dps?
0.054
Let v = -26.362 + 11.544. Let a = 15.038005 + v. Let g = a - 0.22. What is g rounded to 6 decimal places?
0.000005
Let h = 25114428 + -8873936. Let f = h + -11100492. What is f rounded to the nearest 1000000?
5000000
Let w = 121.159 + -240.801. Let i = -119 - w. What is i rounded to one dp?
0.6
Let g = -3.1216 + 3.527. What is g rounded to 1 decimal place?
0.4
Let x = 180412.39944 + -180405. Let s = -7.4 + x. What is s rounded to four dps?
-0.0006
Suppose 2*w - 7*w - 65509 = 3*l, -52406 = 4*w + 2*l. What is w rounded to the nearest one thousand?
-13000
Let z = -12.5602471 + 12.56. Round z to 5 dps.
-0.00025
Let d be 2500/(-3)*1307790/275. Round d to the nearest 100000.
-4000000
Let o(h) = 10 - h**3 - 17*h - 192*h**2 + 10 + 200*h**2. Let x be o(11). What is x rounded to the nearest one hundred?
-500
Let z = -0.117 - -0.18. Let y = 0.0319 - z. Round y to three dps.
-0.031
Let f = -6723 + 6722.99996593. What is f rounded to 6 decimal places?
-0.000034
Let d = 0.09 + 0.006. Let s = -0.05 - -0.15. Let t = s - d. What is t rounded to two decimal places?
0
Let u = 0.803 - 7.955. Let r = -0.148 + u. Round r to the nearest integer.
-7
Let z = 76 - 64. Let c = -1017 - -1029.14. Let j = z - c. What is j rounded to 1 decimal place?
-0.1
Let l = 17064616 + -17052492.0088. Let u = l + -12118. Let r = 6 - u. Round r to three decimal places.
0.009
Suppose 2*j = 2*y - 82, 0 = -j - 3*y - 0*y - 53. Let l be (-4)/22 - 1196/j. Let n = l - 5. Round n to the nearest ten.
20
Let r = -9 + 11. Suppose 54915 = r*u + 6515. Round u to the nearest ten thousand.
20000
Suppose 10313961 = -26*i - 10356039. Round i to the nearest one hundred thousand.
-800000
Let h = 2966742.934 - 2970190. Let m = h - -3444. Let g = 3 + m. What is g rounded to two decimal places?
-0.07
Let g = -82.502969 + 82.5. What is g rounded to 4 decimal places?
-0.003
Suppose r = -l + 3*r - 3612, r = 2*l + 7221. What is l rounded to the nearest 1000?
-4000
Let y = -42.9999639 - -43. Round y to five dps.
0.00004
Let q = 403.2866 - 403. What is q rounded to 2 dps?
0.29
Suppose 10187 = 28*g + 65683. Round g to the nearest one hundred.
-2000
Let x(w) be the third derivative of 125*w**5/6 - 9*w**2. Let g be x(-2). Let v be (-660)/((-10001)/g - -2). Round v to the nearest 1000000.
3000000
Let o = 749.674 + -2.474. Let w = -681 + o. Round w to the nearest ten.
70
Let o = -40.773 + 150.884. Let j = o + -110. Round j to 2 decimal places.
0.11
Let k = 0.04 + -0.0399473. Round k to 5 dps.
0.00005
Let r = 6 + -5.96. Let a = -65.46 + 66. Let j = a - r. What is j rounded to the nearest integer?
1
Let p = -409 + 290. Let x = p - -118.943. Round x to 2 dps.
-0.06
Suppose 5*j - 15185893 + 5402363 = 0. Suppose -23*n = -26*n + 10670118. Let z = j - n. Round z to the nearest one million.
-2000000
Let l(u) = 7199*u + 2. Let n be l(2). Let t = -214 + 219. Suppose -t*c - n = -9*c. Round c to the nearest 1000.
4000
Let s = -0.172 - 29.128. Let l = s + 29.29999869. Round l to six dps.
-0.000001
Let w be ((-396)/54)/((-1)/(-39303)). Let j = w - -568222. Round j to the nearest one hundred thousand.
300000
Let l be (39/(-78))/(-1 + 41621/41620). Round l to the nearest 100.
-20800
Let o be (901/(-2))/((-4)/(-8)). Let q = o - -1594. Suppose 827 = -2*r - q. Round r to the nearest one hundred.
-800
Let n = -4373.124 + -13127.586. Let c = n - -17762. Let p = c + -260. Round p to 1 decimal place.
1.3
Let j = -21.8 - 1.2. Let c = 23.1598 - 0.1858. Let q = j + c. What is q rounded to 2 decimal places?
-0.03
Let q = -117.18 - -2.18. Let u = q + 115.081. Round u to 2 decimal places.
0.08
Suppose -i + 18 = -3*o, 10*i - 5*i - 72 = -3*o. What is i rounded to the nearest 100?
0
Suppose 34*l - 152880 = 55*l. Round l to the nearest one thousand.
-7000
Let a = -0.0676 - 11.6024. Let s = -12.298 + -0.102. Let h = a - s. Round h to 1 dp.
0.7
Let o = -0.403618 - -121.248118. Let y = -121 + o. Let l = 0.16 + y. Round l to 3 decimal places.
0.005
Let x = -107914013 - -52862297. Let c = x + 55051674.399741. Let b = c + 41.6. Round b to five decimal places.
-0.00026
Let t = -10 + 16. Let j = -24.9 + 18.66. Let l = t + j. What is l rounded to 1 dp?
-0.2
Let t = 197 + -197.00189. Round t to 3 dps.
-0.002
Suppose -l - 5*n - 3583054 = 0, 0 = 3*l - 6*l + 3*n - 10749162. Let y = 14483054 + l. What is y rounded to the nearest 1000000?
11000000
Let a(u) = -1450000*u**2 + 2*u - 2. Suppose 5*d = 4*d + 1. Let r be a(d). Round r to the nearest 1000000.
-1000000
Let q = -1.39999674 - -1.4. What is q rounded to 7 decimal places?
0.0000033
Let i = -81 - -80.01. What is i rounded to zero dps?
-1
Let k = -0.8 + 46.8. Let m = 26 - k. Let v = m - -20.003. What is v rounded to two dps?
0
Let u = 451 + -3923. Let b = 3472.1943 + u. Let p = -0.2 + b. Round p to 3 decimal places.
-0.006
Let m = 203.7 - 24.7. Let p = 179.113 - m. Round p to 2 decimal places.
0.11
Let o = 0.2 - 0.29. Let k = o + -5.91. Let r = 13.6 + k. Round r to the nearest integer.
8
Let a = -0.049 + 0.04933. Let m = -89 - -89. Let w = a + m. Round w to four decimal places.
0.0003
Suppose -5*v + 0*v = -105. Let j be (-3 - 0)/(v/(-16688)). Let z = j - 1454. What is z rounded to the nearest one hundred?
900
Let m = 2.09000078 - 2.09. Round m to 7 dps.
0.0000008
Let w = -2950.0000007836 + 2950. Round w to 7 dps.
-0.0000008
Let k = -3 + 5. Let u be 8 - (k + 0/(-4)). Suppose u*s + 1119 = s - 4*c, -s - c - 224 = 0. What is s rounded to the nearest 10?
-220
Let y = 1715.669887 + -2163.66962. Let t = y - -448. What is t rounded to five decimal places?
0.00027
Let o = -20.3 + 1.3. Let | {
"pile_set_name": "DM Mathematics"
} |
*y**5 + 6*y**2 - 5/6*y**3 - 5/24*y**4 + 0*y. Give l(5).
-5
Let p(y) = y**2 - y. Suppose 3*o + 0 = 3*j + 12, 0 = -3*o + 12. Let d = -2 - j. Let i be 5/d - 1/(-2). Determine p(i).
6
Let h(d) = -d**2 - 4*d. Let k be h(-5). Let a(r) = -r**2 - 9*r - 5. Give a(k).
15
Suppose 0 + 16 = 4*t. Suppose -x = 3, -t*x - 20 = l - 3*l. Suppose 0 = -5*n + 3*n - l. Let u(d) = -d - 1. What is u(n)?
1
Let n(u) = u**2 + 5*u + 2. Let h be n(-6). Let p(b) = -6 + h + 4 + b. What is p(-3)?
3
Let v(n) = 2*n + 0*n**3 - 2*n**2 + 8*n**2 + n**3 + 3 + 3*n. Let p be v(-5). Let d(g) = -g**3 + 4*g**2 - 5*g + 2. Calculate d(p).
-4
Suppose 35 = 5*c - 5*q, 3 = 3*c + 5*q - 2. Let d(k) = -1 + c + k - 2. Give d(-2).
0
Let t(q) = q**2 - 3*q - 1. Suppose 0 = -5*b + 1 + 14, 2*n - 5*b - 35 = 0. Suppose n = p + 4*p. What is t(p)?
9
Suppose -2*q + 0 = 4. Let x(y) be the second derivative of y**4/12 + y**3/3 - y**2/2 - 7*y. Determine x(q).
-1
Let n be (24/(-7))/((-6)/63). Suppose 0 = 2*x + 2*x - 5*o + n, -4 = -4*x - 5*o. Let t(h) = -h**3 - 5*h**2 - h + 1. Give t(x).
-11
Let c(d) be the first derivative of -4*d**3/3 + 7*d**2 + 3*d + 1. Let v(f) = f**2 - 5*f - 1. Let b(n) = -6*c(n) - 17*v(n). What is b(1)?
7
Suppose -4 = -3*t + 5*y, 5*y + 0*y = 5. Let x(u) = 41*u**t + 0*u - 7 + 12*u**2 - 42*u**3 - 5*u**2 + u. Determine x(7).
0
Let v(r) be the third derivative of r**5/60 - 7*r**4/24 - 5*r**3/6 + 9*r**2. Determine v(7).
-5
Let s(g) = g**3 - 5*g**2 - 4*g - 5. Let f be -1 - 14*4/(-8). Give s(f).
7
Suppose -5*u + 4 - 24 = 0. Let o = 5 + u. Let m(y) be the second derivative of y**5/20 + y**4/12 + y**3/6 - y**2/2 + y. Give m(o).
2
Suppose -4*t + 0 - 32 = -5*h, t + 8 = 5*h. Let f(p) be the third derivative of p**4/24 + 3*p**3/2 - p**2 - 13. Give f(t).
1
Suppose 0 = -5*a + 17 + 3. Suppose 9*i + 25 = a*i, 2*x = i + 9. Let n(p) = x*p + 4 + 7 - 5 - 3*p. Calculate n(5).
1
Let u(r) = 42*r - 1 - 19*r - 26*r. Calculate u(3).
-10
Let k be (-1*1 - 2)/(-1). Suppose 0 = -3*h + 13 - 4. Let q(s) = -3*s + h*s**2 + s**3 - 6*s**2 + 4 + s**2. What is q(k)?
4
Suppose 5*o = -3*v - 5, -2 = -5*o + 5*v + 33. Let z(p) = -7*p + 0*p + 4*p + 3. Give z(o).
-3
Let j(w) be the first derivative of -w**5/40 + w**4/6 + 5*w**3/3 - 4. Let y(h) be the third derivative of j(h). What is y(3)?
-5
Let d = -3 + 5. Let b = 5 + -2. Let z be 0 + 10/d - b. Let p(x) = x**3 - 2*x**2 - 2*x + 3. Calculate p(z).
-1
Let x(l) = l**3 - 5*l**2 + l - 3. Suppose 0 = -0*m - 5*m + 125. Suppose m = d + 4*d. What is x(d)?
2
Let i(r) = r**2 + r + 1. Let p(u) = 7*u**2 + 6*u + 4. Let b(c) = -6*i(c) + p(c). Let s(a) = -a**2 + 14*a - 21. Let t be s(12). Determine b(t).
7
Suppose -7 = -4*n + 89. Let q(w) = -2*w - 2. Let d be q(-3). Suppose 0 = -d*i - n. Let t(r) = -r**2 - 6*r + 6. Give t(i).
6
Suppose -2*s + 5*h - 31 = 0, -4*s - s - 3*h - 31 = 0. Let k = s + 10. Let f(x) = -2*x + 3. Determine f(k).
-1
Suppose 0 = 2*p + p. Let j = 11 + -10. Let u(x) = -7 + 0*x + j + x. Determine u(p).
-6
Let p(h) be the second derivative of h**6/120 - h**5/12 - h**3/3 + 5*h**2/2 - 3*h. Let n(d) be the first derivative of p(d). Calculate n(5).
-2
Let f(u) = -u**3 - 6*u**2 - 2*u - 6. Suppose -12 = 2*q - 4*m, 2*m - m + 24 = -4*q. Calculate f(q).
6
Let n(p) = 7*p**2 - 1. Let s be (-2)/(-4) - 175/(-10). Let d = s + -19. Determine n(d).
6
Let p = 4 - -6. Let d = p + -5. Let o(s) = -s**3 + 6*s**2 - 4*s. Calculate o(d).
5
Suppose 7 = -3*c - 2*t, -t = 5*c - 6 + 13. Let o be (-1 + (-1)/c)*-1. Let y(z) = o + z - 3 - 1. What is y(4)?
0
Let n(y) = 4*y**3 + 5*y**2 - 4*y + 23. Let j(s) = s**3 + s**2 - s + 6. Suppose 2*k + 0*k + 18 = 0. Let g(v) = k*j(v) + 2*n(v). What is g(0)?
-8
Let i(f) = -f**3 + f**2 + f + 3. Let o = 8 + -8. Calculate i(o).
3
Let i(g) = 4*g**3 - 2*g**2 - g. Suppose 2*n + 12 = -5*p, -2*n - 11 + 3 = 3*p. Determine i(n).
-5
Let g(w) be the first derivative of -3*w**2/2 + 2*w - 1. Let o be 50/14 - (-8 - 477/(-63)). Give g(o).
-10
Let f(o) = 3*o**3 - 2*o**2 + 1. Suppose 26*r - 11*r = -15. Calculate f(r).
-4
Let q be 24/2*(-2)/(-4). Let s(x) = x**3 - 7*x**2 + 6*x - 2. Determine s(q).
-2
Let i be 0 + 6/(-2) + 6. Let d(x) = -x**2 + 0*x**2 + 2*x**2 - 2*x. What is d(i)?
3
Let k be (-76)/(-13) + 38/247. Let g(t) = -t**2 + 6*t + 3. Calculate g(k).
3
Let i(v) be the third derivative of v**2 - 1/3*v**3 + 0*v + 1/120*v**6 + 0 - 1/15*v**5 + 1/12*v**4. Let z = -1 + 4. Calculate i(z).
-5
Let n(s) be the first derivative of s**2/2 - 5*s + 8. Suppose 4*q - 4 = o - 0*o, -14 = -3*o - q. Give n(o).
-1
Suppose -2*n + r + r = 4, 8 = -2*n + 3*r. Suppose 3*q = -n*q. Suppose q = -2*h - h. Let b(j) = j**3 - j**2 + j - 7. Give b(h).
-7
Let l(t) = -t**2 + 4*t + 4. Let c be l(5). Let y(u) = -u - 4. Let q(f) = -f**2 - 2*f - 7. Suppose 6 = -4*k - 6. Let n(p) = k*q(p) + 5*y(p). Give n(c).
3
Suppose 5*j + 32 = 3*a - 8, -2*a + 25 = -3*j. Let r(b) be the third derivative of 0*b + 0 - 1/24*b**4 - 2*b**2 + 7/6*b**3. Calculate r(a).
2
Let t(m) = -3*m**3 + 8*m**2 + 7*m + 8. Let l(z) = -2*z**3 + 7*z**2 + 6*z + 7. Let b(w) = -4*l(w) + 3*t(w). Determine b(-3).
-4
Suppose 3*n = -3*t + 2*t - 5, -5*t = -3*n - 11. Let l(v) = -v**2 + v. Determine l(n).
-6
Let w(g) = -g**3 + 6*g**2 - 5*g + 2. Let o be (-10)/8*(-32)/8. What is w(o)?
2
Let l(f) be the first derivative of f**4/4 + 8*f**3/3 + 6*f + 60. Give l(-8).
6
Suppose -4*o = -2*o - 4. Let n(u) be the first derivative of 1/2*u**o + u - 1. Determine n(-5).
-4
Let o(h) = -h - 8. Let t = -104 - -98. What is o(t)?
-2
Let v be (0 + -1)*5/(-1). Let n(y) = y**2 - y - 4. What is n(v)?
16
Let a(y) = y**3 + 3*y**2 + y - 1. Let b(f) = f**3 + 5*f**2 + 5*f + 2. Let g be b(-4). Let k be (g - 2)*(-3)/(-6). Calculate a(k).
1
Let c = 2 - -8. Let u = 15 - c. Suppose -a - 11 = n + 2*n, 2*a = u*n. Let p(v) = -v**2 - 7*v - 5. What is p(a)?
5
Suppose 3*o + 2*j = 6, o - 2*j = -5*j + 9. Let m(y) = -6*y**2 + o*y + 3*y**3 + 2*y + 9 - 4*y**3. Give m(-6).
-3
Let u = -8 + 13. Suppose -u*k - 3 - 2 = 0. Let r(g) be the first derivative of 3*g**2 + g - 1. Determine r(k).
-5
Let w be -7 + 4 + 3 - -15. Suppose -3*d + w = 2*d. Let t(k) = -2*k**2 + 4*k. Determine t(d).
-6
Let c(d) = d - 5. Let v(o) = o - 6. Let q be v(-6). Let p be 3/q + 2/8. What is c(p)?
-5
Let g = 2 + 1. Let x(i) = 3*i + g - 6*i - i. Determine x(4).
-13
Let u(k) be the first derivative of k**2/2 - 5*k + 11. Let t = -2 - -6. Let m be (2/t)/((-2)/20). Calculate u(m).
-10
Let g(t) = -3*t - 13. Let q be g(-6). Suppose -4*h = h - q. Let b(y) = -y**2 + 3*y - 1. Determine b(h).
1
Suppose -2*z = -0*z + 8, -2 = 5*t + 3*z. Suppose -t*l - 10 = -4*l. Let s(h) = h**3 - 6*h**2 + 5*h - 7. Give s(l).
-7
Let m(j) = j - 3. Suppose 2*g - g = 31. Suppose -2*l + u - 13 = l, 0 = -5*l - 3*u - g. Calculate m(l).
-8
Let l(y) = y**2 - 14*y - 14. Suppose -2*m - 66 = -4*n, 0 = n + 2*m + 3*m. Determine l(n).
1
Let a = 25 - 29. Suppose -4*y = -9*y. Let w(s) = 2*s + y - s - 1. What is w(a)?
-5
Let a(w) be the third derivative of -w**6/120 + w**5/12 + w**4/12 - w**3/3 + 2*w**2. Let x(h) = h**3 + 3*h**2 - 5*h + 1. Let n be x(-4). Calculate a(n).
8
Let l(g) be the second derivative of -g**5/20 + 2*g**4/3 - 5*g**3/6 - 4*g**2 - 32*g. Determine l(7).
6
Suppose -10 = -0*h - 2*h. Let a(k) = 0*k - h*k + 1 + 4*k. Give a(6).
-5
Let i(b) = 1 + 0 + 4 + 4*b - 3. What is i(3)?
14
Let d(k) be the first derivative of 2*k**3/3 - 3*k**2/2 - 3*k + 10. Determine d(3).
6
Let r(b) be the third derivative of -b**5/60 + 7*b**4/24 - 4*b**3/3 - 4*b**2. Give r(6).
-2
Let w(q) = -q**2 + 6*q + 9. Let j be w(7). Suppose 1 = -j*l + l. Let k(n) = -8*n**3 - n**2 - 2*n - 1. Calculate k(l).
8
Suppose -5*l - 25 = 0, b + 3*b - 36 = 4*l. Let f = 2 + 0. Let c(y) = 3 - f + y + 1. What is c(b)?
6
Let h(g) be the second derivative of g**4/6 - g**2 + g. Let v(n) = n + 3. Let u be v(0). Suppose -2*c = -u*j + 19, c = -3*c - j - 3. Calculate h(c).
6
Let p(t) = -t**2 + 1. Let a(l) = 5*l**2 - 5*l - 5. Let b(i) = a(i) + 6*p(i). Let h be b(-4). Let d(m) = m**2 - 3*m - 5. What is d(h)?
5
Let n(b) = b**3 + 6*b**2 - 6*b - 6. Let x(i) be the first derivative of i**3/3 - i**2/2 - i - 5. Let s(y) = n(y) - 6*x(y). Determine s(1).
1
Let l(z) be the first derivative of -1/6*z**3 + 0*z - 1/24*z**4 + z**2 + 1. Let y(b) be the second derivative of l(b). What is y(2)?
-3
Let m(d) = -d. Let q(s) = 7*s - 3. Let l(a) = -6*m(a) - q(a) | {
"pile_set_name": "DM Mathematics"
} |
multiple of 504 and 560?
5040
Calculate the lowest common multiple of 100 and 40.
200
Calculate the common denominator of 40/3 and -4/2247.
2247
What is the common denominator of 31/156 and 77/48?
624
What is the lowest common multiple of 748 and 272?
2992
What is the least common multiple of 453 and 102?
15402
What is the smallest common multiple of 11 and 165?
165
What is the lowest common multiple of 16 and 232?
464
Calculate the common denominator of -32/13 and 115/78.
78
Find the common denominator of 7/9 and 13/10850.
97650
What is the least common multiple of 114 and 18?
342
Find the common denominator of 5/441 and 59/21.
441
Calculate the common denominator of 77/10 and 67/1598.
7990
Find the common denominator of 119/48 and -103/342.
2736
Calculate the common denominator of -23/12 and -37/282.
564
Calculate the smallest common multiple of 70 and 76.
2660
What is the common denominator of -14/149 and -50/5811?
5811
Find the common denominator of 99/28 and -5/8.
56
What is the lowest common multiple of 488 and 976?
976
Calculate the lowest common multiple of 77 and 121.
847
What is the common denominator of 45/1016 and 91/32?
4064
Find the common denominator of 69/16 and 71/66.
528
Calculate the smallest common multiple of 36 and 171.
684
What is the common denominator of 57/32 and 137/144?
288
What is the common denominator of 32/75 and 82/315?
1575
Calculate the lowest common multiple of 511 and 49.
3577
Calculate the lowest common multiple of 32 and 320.
320
Calculate the smallest common multiple of 1098 and 288.
17568
Calculate the common denominator of 29/624 and 31/1365.
21840
What is the common denominator of 137/10290 and -119/50?
51450
Calculate the smallest common multiple of 516 and 8.
1032
What is the least common multiple of 560 and 96?
3360
What is the common denominator of -121/20 and 1/6?
60
Find the common denominator of 1/130 and 15/364.
1820
Calculate the smallest common multiple of 22 and 1130.
12430
What is the common denominator of -101/1430 and 59/182?
10010
Calculate the common denominator of 81/4 and 49/558.
1116
What is the least common multiple of 2 and 645?
1290
Find the common denominator of -59/54 and -10/681.
12258
Find the common denominator of -23/30 and 139/90.
90
What is the common denominator of -127/1650 and -7/4?
3300
Calculate the smallest common multiple of 70 and 35.
70
What is the least common multiple of 9 and 33?
99
Calculate the smallest common multiple of 12 and 20.
60
Find the common denominator of 5/21 and -59/56.
168
Find the common denominator of -89/700 and -68/35.
700
Find the common denominator of 161/90 and -103/20.
180
Find the common denominator of -97/7036 and -49/6.
21108
Calculate the smallest common multiple of 793 and 65.
3965
Calculate the lowest common multiple of 21 and 63.
63
Calculate the least common multiple of 425 and 2975.
2975
Calculate the common denominator of -13/36 and 3/1448.
13032
Calculate the smallest common multiple of 243 and 6264.
56376
Calculate the common denominator of -25/318 and -55/48.
2544
Calculate the common denominator of 59/588 and -41/28.
588
Find the common denominator of -87/50 and 64/115.
1150
What is the smallest common multiple of 525 and 133?
9975
Calculate the common denominator of 8/3389 and 22.
3389
Find the common denominator of 161/5808 and 145/4752.
52272
Calculate the least common multiple of 2996 and 56.
5992
What is the common denominator of -127/6 and -53/136?
408
Find the common denominator of 41/75 and -74/7425.
7425
Calculate the common denominator of -13/1470 and 8/3675.
7350
Calculate the smallest common multiple of 132 and 220.
660
What is the smallest common multiple of 12984 and 18?
38952
What is the lowest common multiple of 14 and 462?
462
Calculate the least common multiple of 228 and 5700.
5700
What is the common denominator of 11/478 and -14/3?
1434
What is the smallest common multiple of 90 and 25?
450
Calculate the smallest common multiple of 91 and 78.
546
Calculate the common denominator of 81/11716 and -67/16.
46864
What is the common denominator of -46/111 and 60/259?
777
What is the common denominator of -23/504 and 71/420?
2520
What is the common denominator of 9 and -61/9?
9
What is the smallest common multiple of 3212 and 6?
9636
Find the common denominator of 61/5472 and -15/8.
5472
What is the least common multiple of 8 and 18?
72
Find the common denominator of -81/20 and -85/792.
3960
What is the common denominator of 36 and 7/397?
397
Find the common denominator of 149/660 and -49/594.
5940
What is the least common multiple of 143 and 77?
1001
Calculate the common denominator of 99/16 and 49/76.
304
What is the common denominator of 109/180 and 161/30?
180
What is the common denominator of 46/57 and 43/345?
6555
Calculate the lowest common multiple of 4 and 1051.
4204
What is the least common multiple of 44 and 55?
220
Calculate the lowest common multiple of 25 and 11.
275
Calculate the smallest common multiple of 186 and 4247.
25482
What is the smallest common multiple of 867 and 136?
6936
Calculate the smallest common multiple of 656 and 40.
3280
Calculate the lowest common multiple of 44 and 5800.
63800
What is the least common multiple of 1988 and 12?
5964
Calculate the lowest common multiple of 2160 and 60.
2160
What is the least common multiple of 20 and 515?
2060
Calculate the lowest common multiple of 4 and 116.
116
Calculate the least common multiple of 2975 and 350.
5950
Find the common denominator of -127/1810 and 37/724.
3620
Calculate the least common multiple of 544 and 1598.
25568
What is the common denominator of 8/7 and 45/4498?
31486
What is the common denominator of -3/11 and -43/7?
77
Calculate the smallest common multiple of 56 and 32.
224
Calculate the smallest common multiple of 16 and 2928.
2928
Calculate the least common multiple of 8 and 108.
216
What is the smallest common multiple of 32 and 8004?
64032
Calculate the common denominator of -91/176 and 51/848.
9328
What is the common denominator of 103/588 and 34/63?
1764
Find the common denominator of -15/416 and 11/52.
416
Calculate the lowest common multiple of 144 and 567.
9072
Find the common denominator of 59/6 and -49/230.
690
Find the common denominator of -83/80 and 43/48.
240
What is the common denominator of -151/714 and 41/21?
714
Calculate the lowest common multiple of 88 and 66.
264
Calculate the least common multiple of 68 and 8.
136
What is the common denominator of 109/4170 and -23/40?
16680
Calculate the lowest common multiple of 800 and 8.
800
What is the least common multiple of 60 and 160?
480
Find the common denominator of -107/1210 and 48/25.
6050
Calculate the least common multiple of 600 and 33.
6600
Find the common denominator of -67/219 and -19/27.
1971
Calculate the least common multiple of 156 and 12.
156
What is the smallest common multiple of 6 and 3594?
3594
What is the lowest common multiple of 1200 and 27?
10800
Calculate the least common multiple of 2374 and 10.
11870
Find the common denominator of 50/11 and -5/1023.
1023
Calculate the lowest common multiple of 180 and 75.
900
Calculate the common denominator of -109/12 and -65/4.
12
What is the least common multiple of 495 and 135?
1485
What is the common denominator of -5/324 and 53/324?
324
Calculate the lowest common multiple of 594 and 2376.
2376
What is the lowest common multiple of 115 and 115?
115
What is the common denominator of 31/78 and 31/10?
390
Calculate the lowest common multiple of 88 and 44.
88
What is the common denominator of 47/180 and 71/75?
900
What is the least common multiple of 680 and 96?
8160
Calculate the common denominator of 3/1936 and -117/224.
27104
Find the common denominator of 29/7490 and 57/14.
7490
Calculate the smallest common multiple of 3480 and 180.
10440
What is the smallest common multiple of 20 and 992?
4960
Calculate the least common multiple of 120 and 20.
120
Calculate the smallest common multiple of 23 and 111.
2553
Find the common denominator of -59/8 and -79/224.
224
What is the common denominator of 105/22 and -161/570?
6270
What is the common denominator of -89/75 and 16/1665?
8325
What is the least common multiple of 76 and 188?
3572
Calculate the least common multiple of 102 and 3.
1 | {
"pile_set_name": "DM Mathematics"
} |
Collect the terms in 97*y**2 + 88*y**2 + 102*y**2 - 248*y**2.
39*y**2
Collect the terms in -334 - 333 + 667 - 5*h.
-5*h
Collect the terms in -56*v**2 - 39*v**2 + 16*v**2.
-79*v**2
Collect the terms in 18*b + 18*b - 50*b + 18*b.
4*b
Collect the terms in -73*i**3 + 24*i**3 + 23*i**3 + 27*i**3.
i**3
Collect the terms in -24*a + 363*a + 2 + 7*a.
346*a + 2
Collect the terms in -1075221 - 2*m + 1075221.
-2*m
Collect the terms in 42*p + 39*p - 76*p.
5*p
Collect the terms in -b + 2*b - b + 3*b**2.
3*b**2
Collect the terms in 503 - 503 - 3*d**2 + d**2.
-2*d**2
Collect the terms in -10*u**3 - 3*u**3 - 5*u**3 - 21*u**3.
-39*u**3
Collect the terms in 180*n + 180*n - 360*n - 5*n**3.
-5*n**3
Collect the terms in 0*v - 7*v - 5*v.
-12*v
Collect the terms in 54*n**2 + 51*n**2 - 108*n**2.
-3*n**2
Collect the terms in 124*j**3 + 175*j**3 + 347*j**3 + 172*j**3.
818*j**3
Collect the terms in -102 + 102 - z**2 + z**2 - 3*z**3.
-3*z**3
Collect the terms in -73*i - 17*i**2 + 73*i.
-17*i**2
Collect the terms in -5 - 3 + h + 8.
h
Collect the terms in -20*y**3 + 12*y**3 + 17*y**3.
9*y**3
Collect the terms in 18 - 18 - 53*s**2.
-53*s**2
Collect the terms in -10*r**2 + 10*r**2 + 5*r**2 - 17*r**2.
-12*r**2
Collect the terms in -286*k**3 - 290*k**3 + 567*k**3.
-9*k**3
Collect the terms in -177*i**3 - 13*i**3 + 2*i - 2*i.
-190*i**3
Collect the terms in -6*m**3 - 25*m**2 + 25*m**2.
-6*m**3
Collect the terms in -8*p**3 + 45 - 45.
-8*p**3
Collect the terms in 36*r**2 + 23*r**2 + 4*r**2 + 71*r**2.
134*r**2
Collect the terms in -3*l - 176 + l + 176.
-2*l
Collect the terms in -807*t - 54*t**2 + 807*t.
-54*t**2
Collect the terms in 39*l**3 - 77*l**3 + 30*l**3.
-8*l**3
Collect the terms in -6 + 6 - 6*s**2 - 7*s**2.
-13*s**2
Collect the terms in -3 - 1973*h + 1986*h - 2 + 5.
13*h
Collect the terms in 56*z**2 - 8 + 52*z**2 - 103*z**2.
5*z**2 - 8
Collect the terms in -96*p + 28*p + 47*p.
-21*p
Collect the terms in 2 - h**3 + 2 - 2*h**3.
-3*h**3 + 4
Collect the terms in 8*s + 0*s + s - 3*s.
6*s
Collect the terms in 11*d + 5*d - 14*d.
2*d
Collect the terms in 157*o - 466*o + 155*o + 149*o.
-5*o
Collect the terms in -19*f**3 - f + 105*f**3 + 3*f.
86*f**3 + 2*f
Collect the terms in 8317 - 8317 + 0*f + f**2 + 0*f.
f**2
Collect the terms in -8*k**2 + 2*k + 2*k - 4*k.
-8*k**2
Collect the terms in -26*k**2 + 7*k**2 + 11*k**2 + 10*k**2.
2*k**2
Collect the terms in 4*j + 33*j**2 - 35*j**2 - 4*j.
-2*j**2
Collect the terms in 1939 - 1939 - d**2 + 5*d**2.
4*d**2
Collect the terms in -9*s - 16*s + 340 - 340 + 27*s.
2*s
Collect the terms in 2*z**2 - 26*z + 6*z**2 - 9*z**2.
-z**2 - 26*z
Collect the terms in 86*m**2 + 88*m**2 - 11*m**2.
163*m**2
Collect the terms in -3 + 0*c - 4*c - 5*c.
-9*c - 3
Collect the terms in -32*c + 34*c - 42 + 83 - 41.
2*c
Collect the terms in -2*c**3 + 872*c**2 - 872*c**2.
-2*c**3
Collect the terms in -836*q**3 + 2501*q**3 - 828*q**3 - 829*q**3.
8*q**3
Collect the terms in 2*q - 10*q - 2*q.
-10*q
Collect the terms in -q**2 + 12*q**2 - q**2.
10*q**2
Collect the terms in 1 - 273*p**3 - 1 + 268*p**3.
-5*p**3
Collect the terms in -1 - y + 2 + 2*y.
y + 1
Collect the terms in -9 + 14 - 3*c**3 - 5.
-3*c**3
Collect the terms in -2*u**3 - 4*u**3 - 2*u**3.
-8*u**3
Collect the terms in -7*w + 15*w - 8*w + 11*w**2.
11*w**2
Collect the terms in -502*c**2 + 735*c**2 - 231*c**2.
2*c**2
Collect the terms in -3*z**2 + 26*z**2 + 3*z**2.
26*z**2
Collect the terms in -277276*o + 2*o**2 + 277276*o.
2*o**2
Collect the terms in 20*d**2 + 9*d**2 - 7*d**2 - 11*d.
22*d**2 - 11*d
Collect the terms in -27*h**3 + 17*h**3 - 65*h**3.
-75*h**3
Collect the terms in -28 + 8 + 20 - 37*s**3.
-37*s**3
Collect the terms in -24*y + 18*y + 38*y + 40*y.
72*y
Collect the terms in 11*p**3 + 47*p - 4 + 4 - 54*p.
11*p**3 - 7*p
Collect the terms in 2*u**2 + 2442 + 2*u**2 - 2442.
4*u**2
Collect the terms in 550 + 6*f - 550.
6*f
Collect the terms in -118*h**2 + 118*h**2 - 6*h**3 - 5*h**3.
-11*h**3
Collect the terms in -2*f**2 + 15*f**2 + 0*f**2.
13*f**2
Collect the terms in 3 + 79*p - 3 - 75*p.
4*p
Collect the terms in -3*v**2 + 2*v**2 + 2*v**2.
v**2
Collect the terms in -132*k - 30*k - 103*k.
-265*k
Collect the terms in -53*g**3 + 7*g**3 - g**3 - 26*g**3.
-73*g**3
Collect the terms in 60*d**2 + 684 - 684.
60*d**2
Collect the terms in -34*c - 20*c + 175*c + 185*c.
306*c
Collect the terms in 11 - 32 - 8 + 2*l - 92.
2*l - 121
Collect the terms in 1 - 2 + 21*x**2 + 1.
21*x**2
Collect the terms in -41*o**2 - 42*o**2 + 121*o**2 + 2*o**3 - 38*o**2.
2*o**3
Collect the terms in -70*j**2 + 65*j**2 - 2 + 5.
-5*j**2 + 3
Collect the terms in 0*t**2 + 19*t**2 - 23*t + 23*t.
19*t**2
Collect the terms in 604*t - 2*t**3 - 300*t - 304*t.
-2*t**3
Collect the terms in -23 + 14 + 11 + 19*i.
19*i + 2
Collect the terms in 119*w**2 - 119*w**2 - 53*w**3.
-53*w**3
Collect the terms in -p - 5 - 11 - 12 + 28.
-p
Collect the terms in -i**3 - i**3 + 7*i**3.
5*i**3
Collect the terms in 0*q + 0*q + 3 - 4*q**3.
-4*q**3 + 3
Collect the terms in 4 - 6 + 2 + 6*g**2.
6*g**2
Collect the terms in 0*b - 15 + b + 7*b + 0*b.
8*b - 15
Collect the terms in -39*m + 0*m**2 + m**2 + 25*m + 14*m.
m**2
Collect the terms in 167454 + 5*w - 167454 - 2*w.
3*w
Collect the terms in 4*k - 2*k - 2*k - 3*k**2.
-3*k**2
Collect the terms in -315 - 319 + 634 - w.
-w
Collect the terms in -x**3 - 103*x**2 + 188*x**2 - 100*x**2 + 15*x**2.
-x**3
Collect the terms in 50*t - 27*t + 7*t**2 - 23*t.
7*t**2
Collect the terms in 0*j**3 - 3*j**3 + j**3 + 7*j**3 - j**3.
4*j**3
Collect the terms in 20*a + 20*a - 11*a.
29*a
Collect the terms in 9*g**2 - 13*g**2 + 6*g**2.
2*g**2
Collect the terms in 95152*t - 2*t**2 - 95152*t.
-2*t**2
Collect the terms in -5*k - 2*k - 3*k - 2*k.
-12*k
Collect the terms in -2*h**2 - 4*h**2 - 4*h**2 + 8*h**2.
-2*h**2
Collect the terms in 3*t**2 + t**2 + 2*t**2 - 7*t**2.
-t**2
Collect the terms in -5*j**3 - 7*j**3 - 34*j**3.
-46*j**3
Collect the terms in -26 + 26 - 10*s**3.
-10*s**3
Collect the terms in 92*h + 105*h - 196*h - 2 + 2.
h
Collect the terms in 196 - 19*f - 392 + 196.
-19*f
Collect the terms in -6*z**2 + 1155*z**3 - 1153*z**3 + 6*z**2.
2*z**3
Collect the terms in -109 - 170 + 24 - 3*a**3.
-3*a**3 - 255
Collect the terms in -6*z**3 + 69*z**3 + 140*z**3.
203*z**3
Collect the terms in 91*h**3 - 183*h**3 + 93*h**3.
h**3
Collect the terms in 71*u**3 - 126*u + 126*u - 40*u**3 - 32*u**3.
-u**3
Collect the terms in 5*w - 5*w + 161*w**2 - 328*w**2 + 165*w**2.
-2*w**2
Collect the terms in 3*h - 63 + 32 + 7*h + 31.
10*h
Collect the terms in -11 + 2*h**3 + 4 + 4.
2*h**3 - 3
Collect the terms in 21*d + 13180 - 13180.
21*d
Collect the terms in 3*n + n - 5*n**3 - n**3 + 0*n.
-6*n**3 + 4*n
Collect the terms in -32*s - 14*s + s**3 + 46*s.
s**3
Collect the terms in 43*n + 73*n - 117*n.
-n
Collect the terms in -x + x + 127*x**2 - 65*x**2 - 64*x**2.
-2*x**2
Collect the terms in -2 + 28*h**2 - 47*h**2 + 2.
-19*h**2
Collect the terms in f**3 - 851572 + 851572.
f**3
Collect the terms in 13*h**2 + 11*h**2 - 21*h**2.
3*h**2
Collect the terms in -9*c**3 + 79 - 79 + 14*c**3.
5*c**3
Collect the terms in -15 - u - 8 + 32 - 9.
-u
Collect the terms in -18*p**3 - 34*p + 10*p + 24*p.
-18*p**3
Collect the terms in 14 + 2186*h**2 - 14.
2186*h**2
Collect the terms in 7*n**3 + 73*n**3 + 11*n**3.
91*n**3
Collect the terms in 279*n - 128*n - 150*n.
n
Collect the terms in 23*t - 18*t**2 + 19*t - 46*t.
-18*t**2 - 4*t
Collect the terms in -34*x - 4*x + 11*x - 9*x.
-36*x
Collect the terms in 375*y**2 - 265*y**2 + 1720*y**2.
1830*y**2
Collect the terms in q**2 - 3*q**2 - 5*q**2 - 7*q**2.
-14*q**2
Collect the terms in 4*v**2 - 18*v**2 + 16*v**2.
2*v**2
Collect the terms in 456 - 456 + 8*i**2.
8*i**2
Collect the terms in 32*h**2 + 59 - 28 - 30.
32*h**2 + 1
Collect the terms in -12*n**2 + 14*n**2 - 12*n**2.
-10*n**2
Collect the terms in -6 + 8 - 10*t**3 - 2.
-10*t**3
Collect the terms in -20*o + 0*o + 22*o.
2*o
Collect the terms in -145 - 19*j + 76 + 69.
-19*j
Collect the terms in -4*j + 5*j**3 + 2*j**3 - 5*j**3 + 6*j**3.
8*j**3 - 4*j
Collect the terms in 264*y - 523*y + 261*y.
2*y
Collect the terms in -30*p + 17*p + 14*p.
p
Collect the terms in -l - 4*l + 0*l + 8*l - 2*l.
l
Collect the terms in 11 + 3*m**2 - 37*m**2 - 11.
-34*m**2
Collect the terms in -3 + 3 - 107*v**3.
-107*v**3
Collect the ter | {
"pile_set_name": "DM Mathematics"
} |
3 + 2*f**2 + f - 26. Calculate w(4).
1
Suppose 0 = 5*x + 5*f + 5, -x + 2*x - 5*f = -1. Suppose 0 = -2*p + 5*p - 6. Let i(o) = -1 + 3*o + 0*o + p*o + 0*o. Calculate i(x).
-6
Let y(x) = -11*x**2 - 13*x - 29. Let v(i) = -5*i**2 - 6*i - 14. Let h(m) = -13*v(m) + 6*y(m). Calculate h(0).
8
Let l(d) = d**3 + 6*d**2 + 6*d + 4. Let w(o) = -o - 18. Let f be w(-13). Determine l(f).
-1
Let n(j) = j**2 + 2*j + 6. Suppose 2*v + 7 = -3*q + v, 2*q + 4*v = 12. Determine n(q).
14
Let b = -6 + 4. Let h = b - 1. Let f(k) = -k - 3*k - 4 + 2*k + 3*k. Determine f(h).
-7
Let y(z) be the second derivative of -z**5/20 - z**3/6 - 5*z**2/2 - 6*z. Calculate y(0).
-5
Suppose -10 = 5*a - 5*c, -2*a + a = c - 6. Let d(r) = a*r**2 + 2 + 3*r**3 + r**2 - 2*r**3. Determine d(-3).
2
Suppose -4*g = -2*g - 4. Let o(r) = r**2 - g*r**2 + 8 - 13 + 0*r**2 - 6*r. Give o(-4).
3
Let l(n) = -14*n**2 - 4*n - 1. Let x(c) = -5*c**2 - c. Let z(t) = 6*l(t) - 17*x(t). Give z(8).
2
Let a(v) = v**3 - 6*v**2 - 7*v + 2. Let m be a(7). Let f(x) = -5*x - 1. Let o(u) = 5*u. Let c(g) = m*f(g) + 3*o(g). Calculate c(2).
8
Let m = -6 + 7. Let i(p) = p - 1. What is i(m)?
0
Let i be (5*(-3)/9)/((-6)/18). Let z(q) = 1 + 0*q**2 - q**2 + 8*q - 2*q. Give z(i).
6
Let q(a) = 29*a + 0*a**3 - 2*a**2 + 1 - a**3 + 2 - 26*a. Calculate q(-3).
3
Let i(n) be the first derivative of -13*n**2/2 - n + 11. Give i(-1).
12
Let w(l) = -2*l + 5. Let n(q) = 3*q - 8. Let y(a) = -5*n(a) - 8*w(a). Determine y(6).
6
Let q(m) = m + 1. Suppose 0 = s + 2*g + 4 - 2, -4*s + 5*g = -18. Suppose -t + s*t + 4 = 0. Determine q(t).
-3
Let s(p) = 13*p - 5. Let y(z) = -20*z + 8. Let m(u) = 8*s(u) + 5*y(u). Suppose -3*f + 4*t = -51, 0 = -t - 4*t - 15. Let c = 11 - f. Determine m(c).
-8
Let p = 85 + -81. Let m(x) = -x**2 + 7*x - 7. Determine m(p).
5
Let o(d) = d**3 - 3*d**2 - 2*d - 2. Let n be (-3)/12 - (-63)/12. Suppose t + 1 - n = 0. Determine o(t).
6
Let m(v) = -v - 11. Suppose 0 = -l - 5 - 1. Calculate m(l).
-5
Let x be 3*(4/(-6) - 0). Let c(l) be the third derivative of l**6/120 + l**5/20 + l**4/24 + l**2 + 3*l. Calculate c(x).
2
Let j(v) = 5*v**2 - 11 + 1 - 2*v + 7 + 4 - v**3. Give j(4).
9
Suppose -4*z - 17 = -5*t, 2*z - t = -z - 10. Let o(v) = -2*v + v + 5 - 4. Calculate o(z).
4
Let g(v) = -2*v**2 + 9*v - 7. Let q(f) = f**2 - f - 1. Let d(w) = -g(w) - q(w). Calculate d(7).
1
Let x(q) = -2*q + 8. Let t = -13 - -3. Let w = -4 - t. Give x(w).
-4
Let z be (-1 + -2)/12*-4. Let y(k) = -k**3 - 1. Let o be y(z). Let d(l) = l**3 + l**2 - 3*l - 1. What is d(o)?
1
Suppose -v = -0*v - 3*y - 7, 0 = -4*v - 4*y + 12. Suppose v*a = a + 21. Let d(k) = 2*k - 5. Give d(a).
9
Let c(w) be the second derivative of w**5/60 + w**4/24 - w**3/2 + 5*w**2/2 + 5*w. Let h(v) be the first derivative of c(v). What is h(0)?
-3
Let x(v) = 3*v**2 + v + 1. Let j(w) = -w**2 - 5*w - 1. Let a be j(-5). Calculate x(a).
3
Suppose -25 = -5*d, d = 2*h + 3*d - 24. Let x(g) = g**3 - 8*g**2 + 5*g + 10. Calculate x(h).
-4
Let z(h) = 4*h + 6. Let v(k) be the second derivative of -k**4/12 - k**3/2 - 2*k**2 + 4*k. Let b be v(-3). Determine z(b).
-10
Let y(i) = -i**3 + 3. Let n(j) = -j**2 + 8*j - 4. Let f be (-2)/((-2)/16*2). Let t be n(f). Let p be 10/25 + t/10. What is y(p)?
3
Let x(w) = -7*w**2 - 3*w - w**3 + 10 - w - 3. Let y be x(-6). Let n(k) = k**3 + 6*k**2 + 6*k - 3. Determine n(y).
-8
Let h be (18/21)/(3/21). Let o = 4 - h. Let b(i) = -i**2 - 2*i + 1. What is b(o)?
1
Suppose a + 2*a = 21. Let s(w) = 4*w**2 - 6*w - 6. Let u(f) = -3*f**2 + 6*f + 7. Let i(k) = -2*s(k) - 3*u(k). What is i(a)?
-2
Let o(x) = x**3 + 5*x**2 - x. Let t be o(-4). Suppose 5*n = q - t, 2*n = -5*q + 3*q + 4. Let j(k) = -3*k - 4. Give j(n).
5
Let b = -10 - -10. Let w = 3 + -5. Let f(l) = l + 1. Let n(j) = -5*j - 6. Let m(s) = w*n(s) - 11*f(s). What is m(b)?
1
Let t(p) = p + 6. Let k be t(-5). Let s be ((0 - k)/1)/1. Let w(q) = -1 - q**2 - 5*q**3 + 0 + q**3 + 3*q**2. Give w(s).
5
Let i(j) be the third derivative of j**6/120 + j**5/10 + 7*j**4/24 + j**3/3 + 20*j**2. Let l = -4 - 1. Calculate i(l).
-8
Let t(o) = -3*o**2. Let b(q) = 4*q**2 + q + 1. Let h(p) = 2*b(p) + 3*t(p). What is h(-4)?
-22
Let d(t) = -7*t - 10. Let m(b) = -3*b - 5. Let s(x) = -2*d(x) + 5*m(x). Give s(-7).
2
Suppose 6*l = 2*l. Suppose l = 6*j - j - 20. Let x(z) = j - 1 + 3*z - 1. Give x(-2).
-4
Let x(u) be the third derivative of u**6/120 - u**4/12 + u**3/6 + 2*u**2. Let g be (-28)/(-12) - 1/3. Calculate x(g).
5
Suppose 2*y + 9 = -3*o - 3, 2*y + 4 = o. Let z(w) be the second derivative of w**5/10 + w**4/3 + 2*w**3/3 + 3*w**2/2 + w. Give z(o).
-5
Let r(k) = -k**3 - 2*k**2 + 4*k + 1. Let f be r(-3). Let h(v) = -6*v**2 + 7*v**2 - 3*v - 2 - 4*v**2. Calculate h(f).
-8
Let x(m) = -5*m**3 + 8*m + 2. Let l(i) = -i**3 + i**2 + i + 1. Let f(w) = 6*l(w) - x(w). Calculate f(6).
-8
Let s(u) = 0*u + 0*u + 8 - 9 - u**2. Determine s(2).
-5
Let a = 7 - 1. Let m(b) = -b - 7*b**3 + 2*b**3 + 0 + 3 + 4*b**3 + 6*b**2. Give m(a).
-3
Let l(b) = -b**2 + b - 5. Let s be 3 + (2 - -1)*-1. Calculate l(s).
-5
Let o(n) = 2*n. Let l be o(1). Let g(p) = -3*p**2 + 3*p**2 - 6*p - p**l - 7. Determine g(-5).
-2
Let h(y) = y - 6. Let l be 0*-4*(-4)/32. What is h(l)?
-6
Suppose -2*n + 6*n - 16 = 0. Let m(t) = -5*t**2 + t - 1. Let p(q) = -q**2 - q. Let d(v) = -m(v) + 4*p(v). Give d(n).
-3
Let g be (-34)/(-5) + (-1)/(-5). Let z(w) = 2*w - 7. Give z(g).
7
Let q = -36 + 42. Let f(l) = 3*l - 9. Calculate f(q).
9
Let h be (-1)/(-1 + 2/4). Suppose -2*y + h*l + 1 + 7 = 0, -y + 2*l = -6. Let p(o) = -2*o + 2*o + 3*o - 1 - y*o. Determine p(1).
0
Let a(d) = -d + 3. Let k be (-4)/(-6)*(13 - 1). Suppose k = -3*p - 4. Let v be p/22 + (-10)/(-55). Give a(v).
3
Let l(o) be the second derivative of o**3/6 - 11*o**2/2 + 2*o + 10. Calculate l(11).
0
Let k(a) be the first derivative of -a**7/84 - a**6/360 + a**5/120 + a**4/24 - 4*a**3/3 - 4. Let w(s) be the third derivative of k(s). Calculate w(-1).
9
Let x(c) = c**2 + c + 2. Let l be 5*(-1 + 14/10). Give x(l).
8
Let q = 10 + -15. Let s(l) = -4*l**2 - l + 3. Let i(d) = d**2 - d + 1. Let h(c) = 3*i(c) + s(c). Calculate h(q).
1
Let x(o) be the first derivative of o**3/3 + 2*o**2 + 3*o - 1. Suppose -2*k = 3*n - 6 - 12, -4*k + 30 = 3*n. Let u = -11 + k. What is x(u)?
8
Let x(w) = -10*w**2 - 6*w + 9. Let j(a) = -7*a**2 - 4*a + 6. Let m(c) = -7*j(c) + 5*x(c). Let s(k) = k**3 - 4*k**2 + 3*k - 1. Let z be s(2). What is m(z)?
0
Let z be (-1 + 5)/(-2) - 3. Let q(c) = c**3 + 5*c**2 + 2*c + 6. Let b be q(z). Let r = -8 - b. Let y(l) = l**2 + 2*l + 2. Determine y(r).
10
Let s(y) be the first derivative of -1/2*y**2 + 2 + 7*y. Calculate s(6).
1
Let v be -2 + 18/2 - (-9)/(-3). Let w(g) = -g**3 + 5*g**2 - 3*g - 1. Give w(v).
3
Let y(s) = s**3 - 7*s**2 + 8*s - 8. Suppose 20 = 4*z + z. Suppose -5*h + z*d = -50, 2*h + 0*h - 17 = d. Give y(h).
4
Suppose 19 = 3*d + 1. Let v(t) = -t + 8. Calculate v(d).
2
Let k(c) = c + 3. Let q(t) = t**2 + 7*t + 6. Let f be q(-4). Give k(f).
-3
Suppose 0 = 26*k - 29*k + 3. Let g(y) = 2*y**3 + 2*y**2 - 2*y + 1. What is g(k)?
3
Let w(d) = -d**3 - 6*d**2 - 3*d + 4. Suppose -y + 2*j + 1 = 0, -3*j = -3*y - 0*y - 6. Calculate w(y).
-6
Let c(y) = -y**3 - 5*y**2 + 4*y - 2. Suppose 5*m = 4*i + 29, m - 6*m = -i - 11. Calculate c(i).
10
Let w = -1 - 3. Let u be (-28)/(-10) + (-2)/(-10). Let n = u + w. Let y(x) = -10*x - 1. Calculate y(n).
9
Suppose 0 = 3*d + 26*d - 145. Let u(v) = v - 6. Let g = 12 + -1. Let l(n) = 5*n - 30. Let m(b) = g*u(b) - 2*l(b). Calculate m(d).
-1
Let w(n) = 2*n**2 - 5*n + 6. Let p be w(2). Let t(a) = -a**2 + 5. Calculate t(p).
-11
Suppose 2*h + 2*h - 3*q + 25 = 0, 2*h - 2*q + 14 = 0. Let y(a) = 1 + 3*a + 12*a**2 - 13*a**2 - 5*a. Determine y(h).
-7
Let k(g) = 2*g**3 + 12*g**2 - 3*g - 11. Let r be k(-6). Let u(s) = -3*s + 3. Give u(r).
-18
Let w(y) = y + 2. Suppose 0 = 5*q + 1 + 19. Give w(q).
-2
Let w(a) be the third derivative of a**2 + 0*a + 0 + 11/6*a**3 + 1/20*a**5 - 5/12*a**4. Let p(x) = 2*x**2 - 5*x + 6. Let u(i) = 5*p(i) - 3*w(i). Give u(-4).
-7
Let c(s) = -257*s - s**2 + 4 - 15 + 257*s. Give c(0).
-11
Let y be 2/1*(-1 - -2). Let j(g) = -g**2 + 2*g - 1. Determine j(y).
-1
Let t(l) = 2*l**3 - 3*l**2 - 2. Let j(n) be the first derivative of -n**4/4 + n**3/3 + n - 2. Let y(d) = 5*j(d) + 2*t(d). Determine y(1).
-1
Let b = - | {
"pile_set_name": "DM Mathematics"
} |
= -733/3 + 240. Let j = h + c. What is the second biggest value in 4, j, 2?
2
Let s = 186 - 180. Let i be (0/(-2) - -1) + -46. Let u be (-9)/s*12/i. What is the second biggest value in -4, u, -0.2?
-0.2
Suppose -18 = -5*m + 12. Suppose -7*r - m = -r. Let l = -3 - -4. Which is the second smallest value? (a) r (b) l (c) -2/5
c
Let g be (-25984)/(-2560) - 20/2. What is the second smallest value in 0.2, -54, g?
g
Let t = -62 + 57. Let d be 0 + 1 - 1*-4. Which is the second biggest value? (a) t (b) d (c) -0.03
c
Let q = 42.1 + -41.8. Let b = 0.14 + -0.07. What is the biggest value in b, -2, q, -4?
q
Let f = -14.61 - -10.61. Which is the smallest value? (a) f (b) 16/11 (c) -1 (d) 0
a
Suppose -14 = -57*p + 64*p. What is the fourth biggest value in -2/9, 2/5, -1, p?
p
Let t(i) = -11*i + 30. Let k be t(3). Let f be 5/(-3 + 2 + 2). Which is the second smallest value? (a) -1 (b) f (c) k
a
Let u(n) = -n**3 - 8*n**2 + 15*n - 46. Let q be u(-10). Which is the biggest value? (a) -0.4 (b) q (c) 799
c
Let w = 33 + -15. Let l = -18 + w. Which is the smallest value? (a) l (b) -2/7 (c) -5
c
Suppose -3 = 8*q + 37. Let l be -2*1*(q/(-1))/(-10). What is the third smallest value in l, -2, -0.08?
l
Let n = 148.4 - 148. What is the biggest value in 2/3, 5, n?
5
Let s = -3146 - -47188/15. Let q be (-5 + 4)*(1 - 4). Which is the second biggest value? (a) q (b) 8 (c) s (d) 0
a
Let q = -2322 - -183435/79. What is the biggest value in 1/3, -5, q?
1/3
Let p be 45/232 + 146/(-1168). Let t = 2 + -6. Which is the second biggest value? (a) p (b) -0.4 (c) t (d) 3
a
Let h be 1*(0 - 36/9). Let w be (6/10)/((-8)/(-5)). Which is the second biggest value? (a) h (b) 1/4 (c) w (d) -5/8
b
Let l = 0.212 - 0.412. Which is the fourth smallest value? (a) l (b) 0.3 (c) -3 (d) -2.2
b
Let h = -739/5 - -148. Which is the second smallest value? (a) -5 (b) -2 (c) 2 (d) h
b
Let o = 0.01 + 0.29. Let v be 108/120 + (-6)/15. What is the biggest value in 0.2, v, o?
v
Suppose -115*z + 44 = -126*z. What is the third biggest value in 7, z, 1?
z
Suppose -3*g + 2*j = -8, 3*j = 3*g + g - 11. What is the fourth smallest value in 22, 0.3, -1, g?
22
Let x = -0.2 + 0.6. Let y = 0.00569 + -0.20569. Which is the third biggest value? (a) -0.5 (b) x (c) y (d) 1
c
Let f be (1 - 1) + 3*-1. Let s = 1027 - 1027.5. What is the third smallest value in s, f, -0.2, 4?
-0.2
Let p be 0*(-4 - 1)/10. Which is the third biggest value? (a) -0.83 (b) p (c) 1/4
a
Let x = 0.156 + 3.844. Which is the second smallest value? (a) x (b) -1/3 (c) -92
b
Suppose 0*o + 2*o = -3*p - 1, -5*p = o + 11. Let t be (-6 + o)*6/60. Which is the smallest value? (a) 2 (b) t (c) 0.06
b
Let x = 18.3 + -18.306. What is the third smallest value in 5, x, 0.3?
5
Let z be 50/(-126) + (-2)/(-7). Let y = -80 + 99. Let l = y + -19.1. Which is the biggest value? (a) z (b) 1 (c) l
b
Suppose -129 + 149 = -20*w. What is the third smallest value in -2/7, w, 560?
560
Let b = 0.11 - -3.89. Let t = -844.4 - -844. What is the second biggest value in -5, b, t?
t
Let w = 1597 - 1602. What is the second smallest value in w, -14/3, 0.2?
-14/3
Let i = 0.701 - 0.67. Let n = i + 0.269. Which is the second biggest value? (a) 4 (b) n (c) -0.1
b
Let z = -30.5 + 30.5. What is the biggest value in -2, -3/4, 0.03, z?
0.03
Let v = 965.6 + -966. What is the smallest value in 1, 24, v?
v
Let t be 0 + -3 - 152/(-56). Suppose -5*l = 4*h - 44 + 11, -16 = -2*l - 3*h. What is the second smallest value in t, l, -8?
t
Let q = -1.07 + -0.33. Let t = q - -1.8. Which is the third smallest value? (a) t (b) 2 (c) 1/2
b
Let s be -2*(45/6 - 0). Let y be (-8)/10 - 6/s. Suppose -2*j + 10 = 3*j. What is the second smallest value in j, y, 1?
1
Let o be (-1)/(-4) + 0/(-2). Let p = -16148/23 + 702. Which is the third smallest value? (a) p (b) o (c) -1
b
Let m = -20.59 + 20.35. What is the third smallest value in -5, m, -2?
m
Let u = -1691 - -11815/7. What is the biggest value in 2, u, 4?
4
Let o = 9.4 + -9. Let f = 415 - 414. What is the second biggest value in f, 3, o?
f
Let u be (5/1)/(2 - 1). Let c be (-4 + 6)*u/105. Let o be (2/(-12))/(3/12). What is the third biggest value in o, -8, c?
-8
Let m = -0.5 + -1.5. Let s = 1457 - 1460. What is the biggest value in s, m, -1/3?
-1/3
Let a = 11.2 - 11.253. Let q = 0.017 - a. What is the fourth biggest value in -3/7, 0.4, q, 1/2?
-3/7
Let z(q) = -2*q**2 - 12*q - 20. Let g be z(-4). Which is the biggest value? (a) 1/9 (b) 4 (c) -1 (d) g
b
Let j = -33 - -32.5. Let w = 5.5 + j. Which is the third biggest value? (a) -5/6 (b) w (c) 2/5
a
Let k = 17.64 - 18. Let z = 0.4 + k. Let o be -2 + 2 + 8/(-52). What is the second smallest value in o, z, 4?
z
Let q = -0.1 + 0.1. Let y be (1/4)/(15/(-5) + 4). Which is the second smallest value? (a) q (b) -3/14 (c) y
a
Let h be (-6)/15 + 2/30. Let w be (0/1)/(7 + (-48)/6). Which is the biggest value? (a) -2/9 (b) h (c) w
c
Let m = 0.00831 - -0.39169. Let t be 0 + 2*(-1)/(-22). What is the second smallest value in 3, t, -3, m?
t
Let z = -0.7 + -0.3. Let u = z - -0.5. Let q = -29509/9 - -3279. Which is the second smallest value? (a) u (b) q (c) -1/6
c
Suppose 21 = n + 4*r, 21 = 28*n - 27*n + 2*r. What is the third smallest value in -0.5, 0, n?
n
Let c be (104/12 - 4)*4/(-14). Let d(y) = -y**3 + 2*y**2 + 4*y + 18. Let h be d(4). Let g = -0.2 - -0.1. What is the second biggest value in h, g, c?
g
Let y = -129.6 - -130. Suppose 4*z - 4 - 8 = 0. What is the third biggest value in -5/3, z, y?
-5/3
Let y = -1 - -1. Let t = 108 + -112. Let w = t - y. Which is the second biggest value? (a) -5 (b) w (c) 3
b
Let s = 2.7 - 4. Let k = -1.1 - s. What is the second smallest value in -2/3, k, -4?
-2/3
Let w = -592.1 - -618. Let u = 26 - w. Let z be 0 - (-1 - (-2)/4). Which is the second biggest value? (a) z (b) u (c) -4
b
Let i = 1 + 2. Suppose 3*m - i = 9. Suppose -t = l - 4 - 2, 2*l - 5*t = -9. What is the third smallest value in -0.5, l, m?
m
Let m = 1077 - 1075. Which is the third smallest value? (a) -19/2 (b) 1/4 (c) m
c
Suppose 13*o + 527 + 526 = 0. Let x = -86 - o. What is the third smallest value in 3/2, 5, x?
5
Let r = 59 + -55.94. Let x = 3 - r. Let l = x + 0.56. What is the second biggest value in l, -1, 1/6?
1/6
Let l = 0.5 + -0.1. Let g = 0.41416 - 0.11416. What is the biggest value in g, 2/13, l?
l
Let q = 0.33 - -16.67. Let f = 17.02 - q. Let p = -2.6 - -2.3. What is the second smallest value in f, 0, p?
0
Let p = -1259.6 - -1260. Which is the fourth smallest value? (a) -5 (b) 5 (c) -10 (d) p
b
Let t = 6 + -5.9. Let l = 6.32 + -1.02. Let z = l + -5. Which is the third smallest value? (a) z (b) -2 (c) t
a
Let i be -4*(57/12 - 4) - 0. Let s be (i/(-6))/((-3)/(12/(-70))). Which is the third smallest value? (a) 5 (b) s (c) 2
a
Suppose 0 = 4*n - 2*j + 28, -4*n + 5*j = j + 32. Let z = -1476/7 - -211. Let h = 0.5 - 0.7. Which is the biggest value? (a) n (b) h (c) z
c
Let c be (-26)/91 + (-3424)/70. Let d = 49 + c. Let l be 20/70 - (-2)/(-7). What is the second smallest value in d, 1/7, l?
l
Let j = 0.507 - 0.207. Which is the third smallest value? (a) -3.2 (b) j (c) 2
c
Let m = 404.8 + -405. Which is the third biggest value? (a) -3 (b) -4/7 (c) m
a
Let s = -11 + 10.92. Let t = 31/26 + -9/13. Which is the smallest value? (a) s (b) -4 (c) t
b
Let p = -0.07 - 11.93. Let x = 8 + p. What is the smallest value in x, 0.6, 2?
x
Let n be (-3)/2*8/(-6). Let k be (-3)/12*64/80. Which is the fourth biggest value? (a) k (b) n (c) -4 (d) 1/2
c
Let w = -89.4 + 88.4. What is the smallest value in 2, w, 1/8?
w
Let g = 2 + -2.02. Let p = 74 - 73.5. Suppose -31*z + 33*z = 6. Which is the third biggest value? (a) p (b) z (c) g
c
Let u = 106 - 107. Which is the smallest value? (a) u (b) 0.069 (c) -0.4
a
Let v = 925 - 923. What is the third smallest value in v, 1/13, -5?
v
Let k = 1595/24 - 199/3. Let s be 1*2/2*4. Let d = 22 - 89/4. Which is the biggest value? (a) s (b) k (c) d
a
Let y = -9 + 44. Let f be ((-20)/y)/((-15)/21). What is the third smallest value in f, 0.5, -2, 2/15?
0.5
Let a = -9 + 10. Let w = -365 + 370. What is the second smallest value in 2/11, a, w, -3/4?
2/11
Let q be 1*-1*(-2 - 1). Let o = -2.48 + 0.08. Let v = | {
"pile_set_name": "DM Mathematics"
} |
years are there in twenty-nine halves of a century?
1450
What is nine tenths of a millimeter in micrometers?
900
What is 402.7257 litres in millilitres?
402725.7
What is 0.2582914 kilometers in meters?
258.2914
What is 12/25 of a kilometer in meters?
480
What is thirteen fifths of a century in decades?
26
What is 742610.3 meters in micrometers?
742610300000
What is 2457524.79 minutes in weeks?
243.8020625
What is 44/5 of a gram in milligrams?
8800
How many seconds are there in 0.3718093 weeks?
224870.26464
Convert 92.70327 meters to kilometers.
0.09270327
What is 3/8 of a millimeter in micrometers?
375
How many seconds are there in 30352.24 nanoseconds?
0.00003035224
What is 37948.59 millennia in years?
37948590
How many grams are there in 6/25 of a kilogram?
240
What is 4190.235 months in years?
349.18625
What is 2.828679 millilitres in litres?
0.002828679
What is 1/10 of a centimeter in micrometers?
1000
What is 1.103673 hours in days?
0.045986375
What is 17/4 of a decade in months?
510
How many millilitres are there in 93/4 of a litre?
23250
How many millennia are there in 284255.34 months?
23.687945
How many tonnes are there in 68.43617g?
0.00006843617
How many meters are there in 3/40 of a kilometer?
75
What is 5.639946 minutes in microseconds?
338396760
What is twenty-one halves of a kilometer in meters?
10500
How many centimeters are there in 1/5 of a kilometer?
20000
How many milligrams are there in 6/25 of a gram?
240
What is 4.750393 years in months?
57.004716
How many months are there in 47.3385 decades?
5680.62
How many nanoseconds are there in 28753.3us?
28753300
What is nine tenths of a hour in minutes?
54
What is 44/5 of a decade in months?
1056
How many grams are there in 0.8394283kg?
839.4283
What is four fifteenths of a decade in months?
32
What is 53.6824 grams in tonnes?
0.0000536824
What is 699677.5nm in micrometers?
699.6775
Convert 2.646336 millilitres to litres.
0.002646336
What is 92.76171 hours in milliseconds?
333942156
How many litres are there in 27511.5 millilitres?
27.5115
What is 505406.8 decades in centuries?
50540.68
How many weeks are there in 32335140.6ms?
0.0534641875
How many milliseconds are there in twenty-five quarters of a second?
6250
What is 759829.2 days in milliseconds?
65649242880000
Convert 3797.999 micrometers to nanometers.
3797999
Convert 8.608444 years to centuries.
0.08608444
What is one twentieth of a millimeter in nanometers?
50000
What is five quarters of a kilogram in grams?
1250
Convert 98.91497l to millilitres.
98914.97
Convert 79142.77 millennia to centuries.
791427.7
What is 151931.22 months in millennia?
12.660935
What is 3/8 of a milligram in micrograms?
375
How many tonnes are there in 538058.8mg?
0.0005380588
How many months are there in nineteen quarters of a millennium?
57000
What is 0.786154 centimeters in kilometers?
0.00000786154
What is 58/3 of a hour in seconds?
69600
How many kilograms are there in seven eighths of a tonne?
875
What is six fifths of a milligram in micrograms?
1200
What is six fifths of a litre in millilitres?
1200
Convert 4.748818 millimeters to nanometers.
4748818
How many years are there in 3/25 of a century?
12
What is 1/20 of a kilometer in meters?
50
How many months are there in 823444.7 millennia?
9881336400
What is eleven halves of a litre in millilitres?
5500
How many days are there in 828.59481 minutes?
0.5754130625
Convert 7964.553nm to meters.
0.000007964553
What is 13/8 of a millimeter in micrometers?
1625
What is twenty-nine fifths of a milligram in micrograms?
5800
How many millilitres are there in 0.357064 litres?
357.064
What is 25/4 of a kilometer in meters?
6250
How many milligrams are there in 11/8 of a gram?
1375
How many grams are there in eleven quarters of a kilogram?
2750
What is fifty-seven fifths of a gram in milligrams?
11400
How many meters are there in nine tenths of a kilometer?
900
How many micrometers are there in one quarter of a millimeter?
250
How many millimeters are there in 0.9661998 centimeters?
9.661998
What is 37/2 of a century in years?
1850
How many milligrams are there in 6/5 of a gram?
1200
What is 3/50 of a millennium in decades?
6
How many decades are there in 6.51914 years?
0.651914
What is 5.537165ug in tonnes?
0.000000000005537165
What is 30075.9g in nanograms?
30075900000000
How many years are there in 5/4 of a century?
125
What is one fifth of a milligram in micrograms?
200
How many litres are there in 38225.44 millilitres?
38.22544
What is nineteen quarters of a micrometer in nanometers?
4750
What is 11/8 of a millennium in years?
1375
What is 0.4481067 millilitres in litres?
0.0004481067
How many milliseconds are there in 1/6 of a minute?
10000
Convert 882711.9 millilitres to litres.
882.7119
Convert 16.280259 months to millennia.
0.00135668825
How many milliseconds are there in 1/5 of a minute?
12000
What is 3/50 of a second in microseconds?
60000
How many years are there in thirty-seven fifths of a decade?
74
Convert 5248.278ms to seconds.
5.248278
How many tonnes are there in 4.609437 kilograms?
0.004609437
What is thirteen quarters of a kilometer in meters?
3250
What is eight sevenths of a week in hours?
192
How many centimeters are there in 5.47601m?
547.601
How many weeks are there in 4997309.31ns?
0.000000008262746875
What is 6/5 of a meter in centimeters?
120
How many minutes are there in 3/10 of a hour?
18
Convert 2.828717nm to centimeters.
0.0000002828717
How many years are there in 85.92064 millennia?
85920.64
How many days are there in 0.9117756 weeks?
6.3824292
What is 0.7237788 tonnes in milligrams?
723778800
Convert 3.138514 nanoseconds to milliseconds.
0.000003138514
How many months are there in twenty-one halves of a decade?
1260
What is three eighths of a litre in millilitres?
375
How many centuries are there in 22710.099 months?
18.9250825
How many grams are there in 11/2 of a kilogram?
5500
How many micrograms are there in three fifths of a milligram?
600
Convert 47.12069 micrometers to nanometers.
47120.69
Convert 0.7289838 litres to millilitres.
728.9838
What is 3/8 of a kilometer in meters?
375
What is 6/5 of a litre in millilitres?
1200
Convert 9696.15 millennia to decades.
969615
How many centimeters are there in 902431.4m?
90243140
Convert 1551656.4 months to decades.
12930.47
What is 705185.6 centimeters in micrometers?
7051856000
What is 15.98023 millennia in months?
191762.76
Convert 33905.02 nanograms to tonnes.
0.00000000003390502
What is seventy-two fifths of a meter in centimeters?
1440
Convert 4.679371g to nanograms.
4679371000
What is 2565.92 milligrams in grams?
2.56592
How many micrograms are there in 408.325 nanograms?
0.408325
What is 31/5 of a litre in millilitres?
6200
Convert 27.4846 millennia to years.
27484.6
How many millimeters are there in 32/5 of a centimeter?
64
What is 410069.79 nanoseconds in hours?
0.000000113908275
What is 0.0689495 litres in millilitres?
68.9495
How many nanograms are there in 15.33556mg?
15335560
What is thirteen eighths of a microgram in nanograms?
1625
How many micrograms are there in one tenth of a gram?
100000
What is 51/5 of a decade in years?
102
How many decades are there in eleven halves of a millennium?
550
What is four sevenths of a week in minutes?
5760
Convert 46.2537 months to decades.
0.3854475
Convert 0.673008m to millimeters.
673.008
What is nineteen quarters of a meter in millimeters?
4750
What is 6/5 of a centimeter in micrometers?
12000
How many months are there in 7/6 of a millennium?
14000
What is 0.6496385mm in meters?
0.0006496385
What is 1/15 of a day in seconds?
5760
How many minutes are there in 1/28 of a week?
360
How many nanometers are there in five eighths of a micrometer?
625
How many millilitres are there in 1/5 of a litre?
200
What is fifteen sixteenths of a minute in milliseconds?
56250
How many kilometers are there in 5647.572nm?
0.000000005647572
How many millennia are there in 0.2272604 centuries?
0.02272604
Convert 1.38857ml to litres.
0.00138857
How many milliseconds are there in 0.4546057ns?
0.0000004546057
How many millimeters are there in 974108.3 kilometers?
974108300000
What is 6/5 of a litre in millilitres?
1200
What is 1/4 of a meter in centimeters?
25
How many grams are there in 2 | {
"pile_set_name": "DM Mathematics"
} |
is the closest to 0.155 in -0.1, -3/8, -3/4, 3, -4?
-0.1
What is the nearest to 2/13 in 1/8, 0.03, 0.06, -0.3, -7/4?
1/8
What is the closest to -2 in 0.1, -2/15, 0, 29.8, 7/19?
-2/15
What is the nearest to -2 in 0.04, 21/10, 0.1?
0.04
What is the closest to 8 in -1/2, -0.3, 1/3, 10, -0.6?
10
Which is the closest to -18? (a) 0.4 (b) -1 (c) 112/5
b
What is the nearest to 0.1 in -0.2, -5, -774, 3?
-0.2
Which is the nearest to -12? (a) -3/4 (b) 3 (c) -4/3 (d) -0.3 (e) -17/98
c
Which is the nearest to 21? (a) 0.4 (b) -111 (c) -2 (d) -1/2
a
Which is the nearest to 1.5? (a) 38 (b) 0.7 (c) 12
b
What is the closest to -25 in -5, 794, 4/3, 5, 3?
-5
Which is the closest to 0? (a) -6 (b) -2 (c) -253 (d) 3 (e) -0.1
e
Which is the nearest to -2? (a) -4 (b) -1/4 (c) -0.06 (d) -3/47 (e) 22
b
Which is the closest to 0? (a) 1 (b) -3 (c) 4 (d) 1/9 (e) 1311
d
Which is the nearest to -2/5? (a) 243 (b) -2 (c) -12 (d) 0.03
d
Which is the closest to -1? (a) -67 (b) 0.2 (c) 0 (d) 4/3 (e) -1/4
e
What is the closest to 2/5 in -0.34, 4, 8391, -0.4?
-0.34
What is the nearest to -3 in -0.0198, 4, 0.4, -0.4?
-0.4
Which is the closest to -1? (a) 108/71 (b) 1/3 (c) 0.4 (d) -4
b
Which is the closest to 0.4? (a) -2/3 (b) -47372 (c) -1/8
c
What is the closest to -5 in 0.1, -0.26, -32, -2/71?
-0.26
What is the closest to -14 in -21, -0.54, -5?
-21
Which is the closest to 1.1? (a) -0.1 (b) 0 (c) -1/9 (d) -2
b
What is the nearest to -2 in -1, -26, 0.6?
-1
What is the nearest to 0.2 in -2/15, -1/3, -1/2, 3/47?
3/47
What is the closest to -4 in -3, 5, 3, -5810?
-3
What is the nearest to 0.1 in -0.046, -1.6, -0.4, 2?
-0.046
What is the nearest to -0.12 in -0.7, -0.5, 4/13?
-0.5
What is the nearest to 21 in 1/6, -4/3, -6, 4?
4
Which is the nearest to -5? (a) 0.2 (b) 43 (c) 26 (d) -3/7 (e) -0.2
d
What is the closest to 0.1 in -0.2, 0.2, 33, 35, 2/7?
0.2
Which is the closest to 0? (a) -0.28 (b) -386 (c) 6
a
What is the closest to 32/7 in -2, 25/7, 5, 3, 0.2?
5
What is the closest to 281 in 1, 0.3, -10/7?
1
What is the nearest to 2 in 1, 2/15, 0.11, -2/3, -9?
1
Which is the closest to -198? (a) 0 (b) -14 (c) -2 (d) -1 (e) -5
b
Which is the nearest to 1? (a) -18831 (b) -0.1 (c) -0.4
b
Which is the closest to -1.8? (a) 3/2 (b) -2249 (c) 3 (d) 4/7 (e) 5
d
What is the nearest to -10.69 in 0.1, -4/5, 1/3, 0.4?
-4/5
What is the closest to 0 in -0.1, -1, -34477?
-0.1
What is the closest to 16 in -0.1, 205, 4, -2/9, -2?
4
What is the nearest to 8 in 0.4, 0.176, -1/2, -2/19?
0.4
What is the closest to 1/3 in 1/2, -23, -0.5, -32/7?
1/2
Which is the nearest to 15? (a) -1 (b) 0 (c) -3 (d) -3/73
b
What is the nearest to 1 in -4, -0.72, 5, -0.4, 0.2?
0.2
What is the nearest to -1/2 in -7, -15, -2, 201?
-2
What is the nearest to -2 in 0.3, 1, -67, 9?
0.3
Which is the closest to 0.1? (a) -3 (b) 4/7 (c) 354 (d) 4
b
What is the closest to 1 in -19, 2, 68, -2?
2
What is the closest to 0.1 in -4/9, 0.9, 0.12, 0.4?
0.12
What is the nearest to 1 in -1, 0.13, 5, 6, 0.3?
0.3
Which is the nearest to -1/2? (a) 1 (b) -1.9943 (c) 0.1
c
Which is the nearest to -2? (a) 13/3 (b) -1.7 (c) 0.1 (d) -4
b
Which is the nearest to -0.1? (a) -4.9 (b) 2/5 (c) -1/2 (d) -2/7 (e) -2/11
e
What is the nearest to 2 in -2/47, 5, -4.9?
-2/47
What is the closest to 1.5 in -0.5, -66, 4?
-0.5
Which is the closest to -1/4? (a) 4 (b) 1 (c) 47.781
b
Which is the nearest to -17? (a) -6/11 (b) 2 (c) 56
a
What is the nearest to 8 in -1/3, 1/8, -0.4, 8/75?
1/8
Which is the nearest to 9/19? (a) -4 (b) -12 (c) 0.7
c
What is the closest to 992/5 in -3/5, 3, 1, -0.3?
3
What is the closest to 6187 in 1/5, 4, 5?
5
What is the closest to -3 in -2/5, -12, 10, 20?
-2/5
What is the closest to 0.03 in 13, 82, -0.18?
-0.18
What is the closest to -10 in 1, -27, 4, 0.2, -3?
-3
What is the nearest to 41 in 60, -2/9, -5?
60
Which is the nearest to 0.2? (a) 582 (b) 0.2 (c) -2
b
What is the closest to 4 in -59, -3/5, -0.3, 5?
5
Which is the nearest to -727? (a) 0 (b) 1/4 (c) 0.4 (d) 4 (e) 3/8
a
What is the nearest to -257 in 1, -1/3, 0.3, -1, -2/61?
-1
What is the nearest to 4 in 0.2, 2, -2, -29.2, -0.01?
2
What is the closest to 1.3 in 0.7, 29, -7, -3/4, 2/7?
0.7
Which is the closest to 0.13? (a) 0 (b) -0.4 (c) 2/43
c
What is the closest to 7/10 in 2/9, -1/6, -5/3, -1/4?
2/9
What is the nearest to -0.2 in 2/11, 2/7, -20/137, -4, -1?
-20/137
What is the nearest to 3/5 in 53, 3/7, -0.06?
3/7
Which is the closest to -724? (a) 2 (b) -3 (c) 4 (d) 0.1
b
What is the nearest to 3 in 2/13, -7, -0.1, 34?
2/13
What is the closest to 1.2 in 2, -1/3, 54, -5?
2
What is the nearest to 1/3 in 5, 3/7, 1/8, 31/3, 3?
3/7
What is the nearest to -1378 in -1/3, -1/4, -0.02, -0.3?
-1/3
Which is the closest to -751? (a) -0.1 (b) -3 (c) 1/3 (d) -0.3
b
What is the nearest to 2/3 in 2/27, -10/177, 22, -1/9, 4?
2/27
Which is the closest to 0.1? (a) -626/7 (b) 17 (c) -3/2
c
What is the closest to 2/7 in -4, 2.35, 2/13?
2/13
Which is the nearest to 1? (a) -1 (b) 0.3 (c) 5 (d) 2/107 (e) -2/1663
b
What is the nearest to -1.69 in 3, 0.1, 76/5?
0.1
Which is the closest to 1? (a) 0.67 (b) -0.28 (c) 2
a
Which is the nearest to -2? (a) -192 (b) 51/2 (c) 6
c
What is the nearest to 0.06 in 127, -135/2, -4?
-4
What is the closest to 1 in 9, 2/13, 91/5?
2/13
Which is the nearest to -1/3? (a) -1 (b) 1 (c) 12/47
c
What is the closest to 0.4 in 0, -1/13, 4, 0.2, -0.2?
0.2
What is the nearest to -56/3 in -23, 0.4, -0.4, -0.5?
-23
What is the nearest to 1 in 1/6, 1076, 2/21?
1/6
What is the closest to 0 in -8.64, 0.3, -3?
0.3
What is the closest to -1 in -2/19, 0.1, -2, 0.24, -8.8?
-2/19
What is the closest to -0.1 in -480, -2, 21?
-2
What is the nearest to -9 in 1/275, 0, -2, -6/7?
-2
What is the closest to -4 in 4, 159, 0.08?
0.08
Which is the nearest to 0.1? (a) -7 (b) 1/3 (c) 6 (d) 1/10
d
Which is the closest to -99949? (a) 1/2 (b) 0 (c) -1/6 (d) 5 (e) 0.2
c
Which is the nearest to -1.3? (a) 3 (b) -1/12 (c) -0.4 (d) 1/6
c
What is the nearest to 0 in 0.9, 5, 3, -4.9?
0.9
What is the nearest to 2.7 in -103, 0, 1/4?
1/4
What is the closest to -0.1 in 121, -3, -2/25?
-2/25
What is the nearest to -0.8 in 1, -2, -6, -228, 5?
-2
What is the nearest to 2 in -417, 5, -5, -3?
5
What is the nearest to -1.2 in 22.4, 4, 22/5?
4
Which is the closest to -0.7? (a) -0.2 (b) 17/3 (c) -3 (d) 0.5
a
What is the closest to -2/9 in 434, -0.06, 0.2?
-0.06
What is the closest to 46 in -6, -2/19, 0.2, -11?
0.2
Which is the nearest to -10/7? (a) 66 (b) 2/3 (c) -1/4 (d) 0.5
c
Which is the nearest to 0.5? (a) 2 (b) 7/2 (c) 37 (d) -3
a
What is the closest to 0 in 0.11, 0.25, -6/11, 3/23, -0.3?
0.11
What is the closest to -0.14 in 296, -0.1, -1/6, 4, -2/9?
-1/6
What is the closest to -1 in 1/19, -0.3, 1, 2/179?
-0.3
Which is the closest to 0.33? (a) -2 (b) 13010/11 (c) -4/3
c
What is the closest to 0.1 in 57, 5, 166?
5
Which is the closest to 1? (a) 12 (b) 1/6 (c) 0.38 (d) 2/7
c
What is the closest to -2/11 in 21.1, -4/11, 2, -2/79?
-2/79
Which is the nearest to -2/7? (a) -1 (b) -2/5 (c) -81149
b
What is the closest to -101 in 37, -3, 0.1, 1?
-3
Which is the closest to -0.2? (a) 0.5 (b) 4/3 (c) 140 (d) -0.1 (e) -1/5
e
Which is the nearest to 1? (a) 3 (b) -4 (c) 0.26 (d) -3/23 (e) -0.05
c
Which is the closest to -0.288? (a) -8 (b) 2.6 (c) 0.5
c
Which is the nearest to -2? (a) -9/8 (b) -4 (c) -2 (d) 1/2
c
Which is the closest to -2/47? (a) -0.9 (b) 3 (c) -13
a
What is the nearest to 0.1 in -245, 0.02, -11?
0.02
Which is the nearest to -123? (a) -0.2 (b) -12 (c) 1/6 (d) -4
b
Which is the closest to -0.2? (a) 10 (b) -2/81 (c) 24
b
Which is the nearest to -2? (a) -5 (b) 0.2 (c) -0.24 (d) -2/19 (e) 34
c
Which is the closest to 15/8? (a) -0.3 (b) 1/18 (c) -0.72
b
Which is the nearest to 7? (a) 166 (b) -0.4 (c) -9/10 (d) -2/9
d
What is the nearest to 0.0318 in -0.4, -0.3, -2/7, 0, -16?
0
Which is the nearest to 25? (a) -2/45 (b) -6 (c) 0.5 (d) 1/9
c
Which is the nearest to -1? (a) 7214 (b) 10 (c) -5 (d) -0.2
d
Which is the closest to -1? (a) -0.7 (b) -120/11 (c) 2
a
What is the nearest to -534 in 0.11, 1, 5/2?
0.11
Wha | {
"pile_set_name": "DM Mathematics"
} |
-546*sqrt(19) + 4599
Simplify ((3*sqrt(77)*-1)/sqrt(11) + sqrt(567)*-2 + (sqrt(70) - (-1*sqrt(70) - sqrt(70)))/sqrt(10))**2.
2268
Simplify -2*sqrt(17) + -5 + 5*(sqrt(17) + 1).
3*sqrt(17)
Simplify (0 + sqrt(252))*-1.
-6*sqrt(7)
Simplify -2 + sqrt(272)*-3 + -2.
-12*sqrt(17) - 4
Simplify sqrt(5) + sqrt(45) + 0 + 5.
5 + 4*sqrt(5)
Simplify (-3*3*(-3 + sqrt(1700)))**2.
-4860*sqrt(17) + 138429
Simplify (4*sqrt(170))/sqrt(10)*-4.
-16*sqrt(17)
Simplify (-5 + sqrt(28)/(2*sqrt(4)*2))**2.
-5*sqrt(7)/2 + 407/16
Simplify -5*(0 + sqrt(500))*3.
-150*sqrt(5)
Simplify ((sqrt(612) + 1 + sqrt(612) - sqrt(612) - -1*sqrt(272))*2)**2.
80*sqrt(17) + 6804
Simplify (((sqrt(343)*-2)/sqrt(7) - sqrt(49))/(sqrt(7) - 3*sqrt(252)))**2.
63/289
Simplify -4 + (-2*sqrt(4050))**2.
16196
Simplify 2 + sqrt(76)/((sqrt(28)/sqrt(7) + sqrt(4))*-2 + sqrt(4)).
-sqrt(19)/3 + 2
Simplify (-4 + sqrt(80)/(sqrt(10)*1 + sqrt(10) + sqrt(10)))*1.
-4 + 2*sqrt(2)/3
Simplify sqrt(704)*1 + sqrt(11) + 6*sqrt(176).
33*sqrt(11)
Simplify (5 + sqrt(156)/sqrt(12))*4*-4.
-80 - 16*sqrt(13)
Simplify (2 + (sqrt(153) + -5)*4)**2.
-432*sqrt(17) + 2772
Simplify (sqrt(44) + -4 + -1 + sqrt(44) + sqrt(44))**2.
-60*sqrt(11) + 421
Simplify -6*(sqrt(2) + sqrt(10)/sqrt(5))*3.
-36*sqrt(2)
Simplify (0 + (2 + sqrt(242) - sqrt(242)) + -5)**2.
9
Simplify (sqrt(8) + sqrt(96)/sqrt(108) + sqrt(8))/(sqrt(48)/(sqrt(24)/sqrt(2))).
7*sqrt(2)/3
Simplify -5*(sqrt(5) + 0) - 2*sqrt(5)*1.
-7*sqrt(5)
Simplify (-4 + -4 + sqrt(5) + 4)*1.
-4 + sqrt(5)
Simplify sqrt(85)/(sqrt(5)*-2*-2).
sqrt(17)/4
Simplify (sqrt(5000)*-2)/(sqrt(10) - -1*sqrt(1000))*-2.
40*sqrt(5)/11
Simplify -2 + (sqrt(96)*-6)/(2*sqrt(1728)).
-2 - sqrt(2)/2
Simplify 3 + (2 + sqrt(243))**2.
36*sqrt(3) + 250
Simplify 2*(-1 + sqrt(153)) + -2.
-4 + 6*sqrt(17)
Simplify 6*(-1 + sqrt(13))**2 + 2.
-12*sqrt(13) + 86
Simplify (sqrt(117)/sqrt(3)*-6)/sqrt(3).
-6*sqrt(13)
Simplify ((sqrt(180)*1 - sqrt(180)) + 5 + 1)*-3.
-18
Simplify (sqrt(1872) - (sqrt(1872) - ((sqrt(1872) + 0 + -4 - sqrt(1872)) + sqrt(1872)))**2) + -4.
-20 + 12*sqrt(13)
Simplify ((sqrt(588)*-1 + sqrt(588) - sqrt(588)) + sqrt(12) - sqrt(12))/((sqrt(28) - sqrt(252))/sqrt(7)).
7*sqrt(3)/2
Simplify ((2*sqrt(66) + sqrt(66))/sqrt(6))**2 + (sqrt(110)*-2)/sqrt(10).
-2*sqrt(11) + 99
Simplify sqrt(119)/(sqrt(7) - sqrt(343))*1.
-sqrt(17)/6
Simplify (sqrt(2904)*2)/(-6*sqrt(72)).
-11*sqrt(3)/9
Simplify ((2 + sqrt(192)*1 + sqrt(192))*6)**2.
2304*sqrt(3) + 27792
Simplify 4*sqrt(18)/(sqrt(9) + sqrt(225)).
2*sqrt(2)/3
Simplify 3*(1*sqrt(72) + (sqrt(150)/sqrt(3))**2).
18*sqrt(2) + 150
Simplify sqrt(704)*3 - -3*sqrt(704).
48*sqrt(11)
Simplify (sqrt(80) - (sqrt(80) - (1 + (sqrt(80) + 0 - sqrt(80) - sqrt(80))))) + -3.
-4*sqrt(5) - 2
Simplify (4*sqrt(264)/sqrt(6))/sqrt(4).
4*sqrt(11)
Simplify ((sqrt(567) - (sqrt(567) + 1 + sqrt(567))**2) + 2 + sqrt(567) - (-2*(-1 + sqrt(567))**2 - sqrt(567)))*-6.
270*sqrt(7) + 6786
Simplify (3*(sqrt(475)*-1 - (sqrt(19)*2 + -4)))**2.
-504*sqrt(19) + 8523
Simplify (3*(-1*sqrt(726))/sqrt(3))**2.
2178
Simplify (-4 + (-1 + sqrt(1008) + sqrt(1008) - sqrt(1008)) - -1*(-1 + sqrt(1008)))**2.
-288*sqrt(7) + 4068
Simplify sqrt(1331) - 5*(sqrt(1331) + -4).
-44*sqrt(11) + 20
Simplify ((5*sqrt(34)/sqrt(2))**2 + -1*sqrt(17)*3)*2.
-6*sqrt(17) + 850
Simplify (0 + sqrt(3) + 1 + sqrt(3))**2*-5.
-65 - 20*sqrt(3)
Simplify 2*(3 + (2*sqrt(187) + sqrt(187))/sqrt(11)).
6 + 6*sqrt(17)
Simplify (2 + sqrt(5))**2 + -1 - (-3*sqrt(30))/sqrt(6).
8 + 7*sqrt(5)
Simplify (-2*sqrt(275)/sqrt(5))/((sqrt(90)/sqrt(2))/sqrt(9) - sqrt(5) - sqrt(5)).
2*sqrt(11)
Simplify ((sqrt(612) + 1)*-1 + 2 + (sqrt(612) - 1*sqrt(612)))**2 + -3.
-12*sqrt(17) + 610
Simplify ((sqrt(228)/sqrt(4))/sqrt(3) - sqrt(19))*4.
0
Simplify (sqrt(1573) - 3*(sqrt(1573) + (sqrt(1573)*3)**2)) + sqrt(1573).
-42471 - 11*sqrt(13)
Simplify ((2*-2*sqrt(6))/(-3*(sqrt(2) + sqrt(8)/sqrt(4))) + 4)**2.
16*sqrt(3)/3 + 52/3
Simplify (-2*sqrt(171)*-4 - (sqrt(171) - (-1 + sqrt(171))*3))**2.
-180*sqrt(19) + 17109
Simplify -5 + (sqrt(13) + sqrt(52)/sqrt(4))*-1 - -6*(sqrt(13) - (sqrt(130) + sqrt(130)*-1)/sqrt(10)).
-5 + 4*sqrt(13)
Simplify (2 + (sqrt(11) - sqrt(33)/sqrt(3))*-4)**2.
4
Simplify (sqrt(500) - (sqrt(500) - (sqrt(500) + 3 + -2) - sqrt(500)))**2.
40*sqrt(5) + 2001
Simplify -4*sqrt(80) + sqrt(20)/sqrt(4) + -1 + sqrt(5).
-14*sqrt(5) - 1
Simplify (sqrt(1152)*-1)**2 + sqrt(18).
3*sqrt(2) + 1152
Simplify (-3*(sqrt(18) - sqrt(72)))/sqrt(6).
3*sqrt(3)
Simplify (sqrt(80))**2*-2.
-160
Simplify ((sqrt(45) + sqrt(3645)*-1)/(sqrt(36)/sqrt(4)*-3))**2.
320/9
Simplify -1*(3*(sqrt(2) + 1) - sqrt(2)).
-3 - 2*sqrt(2)
Simplify sqrt(77)/(2*sqrt(11)) + 5*sqrt(21)/sqrt(3) + -4.
-4 + 11*sqrt(7)/2
Simplify 4*(sqrt(170)/(sqrt(10) + 6*sqrt(640) + sqrt(640) + sqrt(640)))**2.
68/4225
Simplify sqrt(12)/(sqrt(216) + (sqrt(216) - (sqrt(216)*-2 + sqrt(216)) - sqrt(216)) - sqrt(216)).
sqrt(2)/6
Simplify -5 + (-1 + sqrt(405))*-2 + 1.
-18*sqrt(5) - 2
Simplify (6*sqrt(17)*2*-2)**2.
9792
Simplify ((2*sqrt(352))/sqrt(2) - (sqrt(11) - (2*sqrt(11) + -1) - (-1 + sqrt(891) + sqrt(891) - sqrt(11))))**2.
-104*sqrt(11) + 7440
Simplify sqrt(136)/(3*sqrt(128)).
sqrt(17)/12
Simplify -3*(sqrt(5) - sqrt(45)) - (3 + 2*sqrt(5))**2.
-29 - 6*sqrt(5)
Simplify (sqrt(459)/sqrt(3) - sqrt(17)) + -4 + sqrt(204)/(sqrt(48)/sqrt(4)) + (sqrt(17)*-1)**2 + -3.
10 + 3*sqrt(17)
Simplify -2*(-1 + sqrt(1331) + 1*sqrt(1331) + sqrt(1331))**2.
-23960 + 132*sqrt(11)
Simplify 5*-2*sqrt(2736).
-120*sqrt(19)
Simplify sqrt(171)/sqrt(2916).
sqrt(19)/18
Simplify (sqrt(130) + (sqrt(130) - 2*sqrt(130))*1)/(3*sqrt(10)*-1).
0
Simplify (sqrt(160)/(sqrt(10) - sqrt(90)))/sqrt(8).
-sqrt(2)/2
Simplify (-1*sqrt(133)*6)/sqrt(7).
-6*sqrt(19)
Simplify (((sqrt(77) - (-1*sqrt(77) + sqrt(77)) - sqrt(77))*6)/(1*sqrt(847)))**2.
0
Simplify 1*(sqrt(39) + (sqrt(273)*2)/sqrt(7))/sqrt(3).
3*sqrt(13)
Simplify -6*-2*5*(sqrt(1088) + -1)**2.
-960*sqrt(17) + 65340
Simplify 3*(-4 + (sqrt(11) + 1 + sqrt(11) + -1 - (sqrt(132)*-2 - sqrt(132))/sqrt(12))).
-12 + 15*sqrt(11)
Simplify (sqrt(6)/(sqrt(6)/(sqrt(27) + sqrt(3))))**2.
48
Simplify 4*(sqrt(2) + (sqrt(2) - ((sqrt(162) - 2*sqrt(162)) + sqrt(162) - sqrt(162)) - sqrt(2))**2) + (sqrt(18)/(sqrt(18)/(1*sqrt(2))))**2.
4*sqrt(2) + 650
Simplify -1 + (sqrt(27)*-3 - (sqrt(3) - sqrt(9)/(sqrt(12)/sqrt(4) + sqrt(3)))**2).
-9*sqrt(3) - 7/4
Simplify (sqrt(98) - ((sqrt(98) + sqrt(98) + -1)*-6)**2) + 4.
-14144 + 1015*sqrt(2)
Simplify (sqrt(98) + 1)*-6.
-42*sqrt(2) - 6
Simplify (sqrt(2016)*1)/sqrt(8) + -2 + (sqrt(7) + sqrt(112) + sqrt(7))*-1.
-2
Simplify ((sqrt(104) - -3*(sqrt(104) - sqrt(104)*-2)) + sqrt(104))/sqrt(8).
11*sqrt(13)
Simplify sqrt(11) - sqrt(88)/sqrt(2) - (0 + sqrt(11) + sqrt(11) + 5) - (((0 + sqrt(11))*-5)**2 + sqrt(11) + 1 + -4).
-277 - 4*sqrt(11)
Simplify 5*sqrt(22)/sqrt(2)*5 + ((1*sqrt(11) + sqrt(11))**2*1 - (sqrt(11) + 1)*2).
42 + 23*sqrt(11)
Simplify ((sqrt(99) + (sqrt(99)*-1 - sqrt(99) - sqrt(99) - sqrt(99)))*3)/(sqrt(441)*1).
-9*sqrt(11)/7
Simplify sqrt(567) - (sqrt(567) + 1) - (sqrt(7) + 4 + sqrt(7)*2).
-3*sqrt(7) - 5
Simplify (1 + (6*sqrt(51)/sqrt(3) - (sqrt(17) + 0 + 1 + sqrt(17))))**2.
272
Simplify -4*sqrt(44)/((sqrt(80)/sqrt(2))/sqrt(10) + sqrt(4))*-4.
8*sqrt(11)
Simplify (-1*sqrt(220))/sqrt(11) - sqrt(120)/sqrt(96).
-5*sqrt(5)/2
Simplify -4*((sqrt(63)*-3)**2 + 6*(sqrt(7)*-1)**2).
-2436
Simplify (sqrt(70) - ((sqrt(70) - (sqrt(70) + ((sqrt(70) + -1*sqrt(70))*-6 - sqrt(70)) - sqrt(70))) + sqrt(70)))/(-3*sqrt(30)/sqrt(3)).
2*sqrt(7)/3
Simplify sqrt(132)/((sqrt(108)*1 - sqrt(108) - sqrt(108))/sqrt(9)).
-sqrt(11)
Simplify (sqrt(1008) + (sqrt(1008) + sqrt(1008) + 4)**2 - sqrt(7)) + -1.
203*sqrt(7) + 4047
Simplify (-5 + -3*sqrt(10)/sqrt(2))**2.
30*sqrt(5) + 70
Simplify 5 + -5*sqrt(200) - sqrt(200).
-60*sqrt(2) + 5
Simplify sqrt(77)/(-1*sqrt(1008)).
-sqrt(11)/12
Simplify sqrt(14)/sqrt(32) + -6*(-2 + sqrt(7))**2.
-66 + 97*sqrt(7)/4
Simplify -3 + sqrt(90)/sqrt(5) + 1 + 5.
3 + 3*sqrt(2)
Simplify (sqrt(168)/(-4*sqrt(8) + sqrt(8)) + sqrt(21))/sqrt(7).
2*sqrt(3)/3
Simplify (sqrt(33) - (sqrt(2112) + sqrt(2112) + (-2*sqrt(2112) - sqrt(2112))))/(sqrt(176) + 1*sqrt(176) - sqrt(176)).
9*sqrt(3)/4
Simplify 3*(-1 + sqrt(76)).
-3 + 6*sqrt(19)
Simplify (4*(sqrt(102) + sqrt(102)*-1 + sqrt(102)))/sqrt(6).
4*sqrt(17)
Simplify (sqrt(3888)*-1 + sqrt(3888))/( | {
"pile_set_name": "DM Mathematics"
} |
12 - 2 = j, -3*j - l + 23 = 0. Suppose 0*w - w = -j. Is 11 a factor of d(w)?
True
Let p = -13 + 8. Let i be (-2)/p + 92/20. Suppose 0 = 3*u - 2*u - i. Does 3 divide u?
False
Suppose c = -3*c - 280. Let h = -50 - c. Suppose -2*p - h = -7*p. Is p even?
True
Let f(l) = 12*l - 1 + 20*l - 3*l - 2*l. Let o be f(-1). Let z = o - -58. Is 15 a factor of z?
True
Suppose -p = 1, -5*l + 314 = 2*p - p. Does 2 divide ((-1)/3)/((-3)/l)?
False
Suppose 3*x - 100 - 65 = 0. Let u = -30 + x. Is 21 a factor of u?
False
Is 17 a factor of (-1)/((-2)/306*3)?
True
Let o be (6/(-9))/((-4)/102). Let m = o + -11. Is m a multiple of 5?
False
Suppose 3 - 15 = 4*m, 0 = -2*c + 3*m - 135. Let k = c + 153. Does 27 divide k?
True
Let m be (-2)/6 - 56/3. Let q = 20 + -54. Let b = m - q. Is 15 a factor of b?
True
Suppose -2*q + p + 2*p + 22 = 0, -5*p = q - 24. Does 3 divide q?
False
Let p be (-7)/(-3) + (-2)/(-3). Suppose 0*k = -2*k - 8, 5*k = p*l - 104. Is 14 a factor of l?
True
Let n = 12 + 3. Is 5 a factor of n?
True
Let o = -129 - -188. Does 7 divide o?
False
Let y be ((-3)/(-4))/((-6)/(-1848)). Does 6 divide 8/(-6)*y/(-14)?
False
Suppose -3*b - 63 = 27. Let c be b/3*(-2)/4. Suppose -80 = -4*o - 3*k, -4*k + c*k = 0. Is 17 a factor of o?
False
Suppose 2*i - 30 = i - r, 4*r = 2*i - 30. Suppose 0*n - n + i = 0. Is 8 a factor of n?
False
Suppose 0 = -3*a - 2*a - 10. Does 23 divide 0/(1 + a) - -23?
True
Let h = -4 + 4. Suppose 0 = -h*j - j. Suppose -2*m - m + 9 = j. Is m a multiple of 3?
True
Let d(q) = q**2 - q + 7. Let j be d(0). Let v(m) = m - 5. Let y be v(j). Suppose -y*c = 5*k - 75, -4*c + 0*c - 6 = -2*k. Does 13 divide k?
True
Let t be (-3)/((5 + -4)/(-4)). Let a = -5 + t. Does 3 divide a?
False
Suppose 2*u - 4 + 0 = 0. Suppose -s + u + 4 = -5*t, -4*t - 42 = -2*s. Let g = s + -14. Is 6 a factor of g?
False
Is 7 a factor of -4 + 1 + -2 + 3 - -16?
True
Let d = -10 - -18. Let i(a) = 3*a**2 - 2*a**2 - 5*a - d + a. Is 19 a factor of i(-6)?
False
Let g = -25 + 216. Suppose g = 5*j + y, -j + 5*y - 58 = -3*j. Is 13 a factor of j?
True
Suppose 2*t - 4*l - 80 = -5*l, -92 = -2*t + 2*l. Is 14 a factor of t?
True
Suppose 4*z - 3*z = -2. Let b(r) = 6*r**2 - 3*r - 3. Let i be b(3). Is (i/(-15))/(z/20) a multiple of 14?
True
Let z(m) = -8*m**2 + 2*m - 3. Let u be z(2). Let r = u - -65. Suppose 3*j - l = 128, 234 - r = 5*j + l. Is j a multiple of 17?
False
Let f(m) = -m**2 - 7*m - 1. Does 6 divide f(-5)?
False
Let u = 168 + -58. Does 10 divide u?
True
Suppose 4 = 3*c - 17. Let u = -3 + c. Suppose -u*h + 48 = -28. Is 9 a factor of h?
False
Suppose -8 = -4*p, -4*u + 3*p + 8 + 18 = 0. Suppose 3*r - 3*h + u = 5*r, 16 = 2*r - h. Suppose -3*b = -2*b - r. Does 3 divide b?
False
Let s be (14/4 - -1)*6. Let f = 73 - s. Is 13 a factor of f?
False
Let g(x) = 28*x - 1. Does 20 divide g(2)?
False
Is (-15)/((-3)/6 - 1) a multiple of 2?
True
Suppose -3*i + 3*b - 12 - 18 = 0, i + 14 = 3*b. Let l(p) = -10*p - 10. Is l(i) a multiple of 35?
True
Let v(l) = 2*l**2 + 10*l**2 - 5*l + 6*l. Suppose -2*y = -6*y - 4. Is v(y) a multiple of 11?
True
Suppose 2*p + 101 - 13 = 5*b, 0 = 2*b - p - 35. Suppose -2*o = o - b. Is 3/o*22/1 a multiple of 11?
True
Let s(x) be the second derivative of 13*x**3/6 - x. Suppose -5*t = 10 - 15. Is s(t) a multiple of 6?
False
Let o(s) = s**3 - 5*s**2 + s + 1. Let f be o(5). Suppose -2*q - f = -5*q. Is q a multiple of 2?
True
Let h(l) be the second derivative of 2*l**3/3 + l. Let w be h(-1). Is 9 a factor of 195/21 - w/(-14)?
True
Suppose -5*h - 2*v - 9 = 0, v = -h + 4*h + 1. Does 13 divide ((-330)/5)/(h*2)?
False
Let m(u) = -3*u**2 + 4*u**2 + 0*u**2 - 7 - 5*u. Let x be m(7). Suppose 49 + x = 4*r. Does 14 divide r?
True
Suppose 0 = -0*b - 2*b - 2. Is 8 a factor of -18*(-1 - b/(-3))?
True
Suppose -11 = -3*r + 7. Does 16 divide r/(-9)*177/(-2)?
False
Suppose 2*v - 40 = -2*t, 14 = 5*t - 1. Suppose v = -3*w + 2*w. Is 6 a factor of w*(-2 + (3 - 2))?
False
Let t = 105 - 209. Is t/(-10)*30/12 a multiple of 12?
False
Suppose -5*a - 5*x + 501 = -3*x, 3*a = 4*x + 285. Is a a multiple of 33?
True
Let s(g) = 10*g**2 + 13 + 2 + g**3 + 3*g - 5. Let z be s(-10). Let t = z + 32. Is 6 a factor of t?
True
Let m(b) = -b - 9. Suppose 3*w + 40 - 13 = 0. Let n be m(w). Suppose n = -2*d + 6*d - 112. Does 14 divide d?
True
Suppose -2*x + 2*c = 3*c - 86, 0 = -3*x - c + 129. Let k = x - 24. Does 19 divide k?
True
Suppose v = -0*v + 32. Let o = -1 + v. Is o a multiple of 13?
False
Let l(s) = 15*s + 7. Let v(b) = 7*b + 3. Let q(j) = 2*l(j) - 5*v(j). Let w(r) = 21*r + 3. Let z(m) = -9*q(m) - 2*w(m). Is z(5) a multiple of 5?
False
Let o = 66 - 141. Let u = o + 105. Is 15 a factor of u?
True
Let u(x) = x + 16. Let j(n) = -4*n - 65. Let q(s) = 2*j(s) + 9*u(s). Is q(10) a multiple of 9?
False
Suppose 8 = 9*o - 8*o. Does 4 divide o?
True
Let p = 140 + -4. Suppose -p = -2*y - 2*y. Is 16 a factor of y?
False
Let j = 1 - -1. Let a = 0 + j. Suppose -x - 11 = -a*x. Does 11 divide x?
True
Let i = 11 + -7. Is 8 a factor of i*3 - (3 - 0)?
False
Let t(x) = 8*x - 1. Let h(v) = v**2 + 4*v. Let r be h(-3). Let m = r + 7. Is t(m) a multiple of 13?
False
Suppose k - m = 1 + 5, -5*m - 27 = -4*k. Suppose 9 - 81 = -k*q. Is q a multiple of 8?
True
Let h(t) = -t**3 - 14*t**2 - 5*t - 10. Is h(-14) a multiple of 15?
True
Let s = 6 - 13. Let g = 4 - -12. Let u = g + s. Does 6 divide u?
False
Let a(r) = -28*r**3 - 4*r**2 - 3. Is 41 a factor of a(-2)?
True
Suppose 4 = 5*b - b. Suppose u - b = -2. Let x(n) = -14*n**3 - n**2 + 1. Is x(u) a multiple of 14?
True
Suppose -q + 84 = 6*q. Is 2 a factor of q?
True
Let j(i) = 3*i**2 - 7*i + 6. Suppose 2*k + 20 = 7*k. Is 9 a factor of j(k)?
False
Suppose 2*t - f - 156 = -5*f, 0 = 2*f + 10. Is t a multiple of 11?
True
Suppose -z + 168 = 6*z. Is z a multiple of 18?
False
Let x be (155 - -1)/4 + 0. Let b = x + 23. Is b a multiple of 13?
False
Let y be 2 - (2 + -3 + -10). Let k = 11 - 17. Let u = y + k. Is 6 a factor of u?
False
Let o be -3*2*1 + 1. Let g(w) = -w**3 - w**2 + 8*w - 4. Does 10 divide g(o)?
False
Let f = -6 + 48. Is 13 a factor of 2052/f + (-1)/(-7)?
False
Let s = -23 - -45. Is 22 a factor of s?
True
Let f(z) = -z**3 + 11*z**2 + z - 11. Let u be f(11). Suppose d + 2*d - 54 = u. Does 11 divide d?
False
Suppose t + 9 = -0*t. Suppose -2*n + 938 = -5*s, 4*s - 2*n + 247 = -503. Is 5 a factor of s/(-36) + 2/t?
True
Let z(m) = 2*m + 12. Let o be z(9). Let v = o + 64. Suppose 3*w - 235 + v = -4*k, 3*w + 147 = 4*k. Is 11 a factor of k?
False
Suppose -9*o + 4*o = -165. Does 7 divide o?
False
Let s = 107 - 37. Is s a multiple of 14?
True
Suppose -2*a + 63 = a. Let b = -1 - -3. Suppose 2*k - 3*h = -6*h + a, -b*h + 58 = 5*k. Is 12 a factor of k?
True
Let r be 1/((6/75)/2). Let q = r - 9. Is 8 a factor of q?
True
Let i be (-14)/(-6) + (-4)/12. Suppose -f + 438 = i*f. Let x = -96 + f. Does 16 divide x?
False
Let d(h) be the third derivative of -h**6/20 + h**5/20 + h**4/24 + h**3/6 - 4*h**2. Is d(-2) a multiple of 24?
False
Let c = -9 - -12. Suppose t - c - 6 = 0. Does 9 divide t?
True
Let g be ((-4)/6)/((-6)/90). Suppose -3*b + g = -275. Does 24 divide b?
False
Let r = 1 - -4. Suppose r*i = -0*i - 2*s + 4, -i - 2*s = -4. Suppose 4 = n + 2*w, i*w = -4*n - 3*w + 36. Does 10 divide n?
False
Let o = 45 - 33. Is o even?
True
Let c(f) = 3*f**3 + 5*f**2 - 5*f + 1. Let y(p) = -13*p**3 - 21*p**2 + 19*p - 5. Let k(t) = -9*c(t) - 2*y(t). Is 8 a factor of k(-5)?
True
Suppose 0 = -15*o + 531 + 369. Is 10 a factor of o?
True
Let z(r) be the third derivative of r**8/5040 + r**7/5040 - r**6/360 + r**5/60 + 3*r**2. Let a(u) be the third derivative of z(u). Is a(-2) a multiple of 5?
False
Let c(a) = a. Let g(p) = -2*p**2 + 26*p + 12. Let x(w) = -w**2 + 13*w + 6. Let d(z) = -6*g(z) + 11*x(z). Let k(v) = 6*c(v) + d(v). Is k(9) a multiple of 4?
True
Does 21 divide (1 + 1)*(-210)/(-20)?
True
Is (-13)/((-130)/804) + (-8)/20 a multiple of 14?
False
Let f be (-1 + 3)/((-8)/20). Does 4 divide (f - (-2 + 1))/(-1)?
True
Is (20/(-60))/(1/(-54)) a multiple of 9?
True
Let i(x) = 2*x**3 + 2*x**2 + x + 1. Let a(w) = -w**3 + 1. Let o(q) = -a(q) - i(q). Let r be o(-3). Let j = r - -45. Does 20 divide j?
False
Suppose m - 5*w - 42 = 0, w + 3 = -5*m + 109. Does 3 divide m?
False
Let i be 6 + (3 + -3 - 2). Suppose 0 = i*t - 2 + 6. Let o = 14 | {
"pile_set_name": "DM Mathematics"
} |
458/65)
Simplify ((q**(1/20)*q*q**18)/((q/((q*q**(-7/8))/q))/(q*q/(q*q**(-1/2)))))**8 assuming q is positive.
q**(747/5)
Simplify p*p*p**(-21/2)*p*p/((p*p*(p**(-1/83)*p)/p)/p)*p*(p*p**(2/29))/(p*p*p/(p*p**(-25/4))*p) assuming p is positive.
p**(-141233/9628)
Simplify ((h/(h*h/h**(-1)))/h*h*h/(h/((((h**(4/3)*h)/h*h)/h)/h)))/(h/h**(-2/7)*h**0)*(h/(h/(h**(-12)/h))*(h/(h**(1/6)*h))/h)**(8/11) assuming h is positive.
h**(-3062/231)
Simplify (m**7/(m**(-2/19)*m))**(-10/7)*(m*m**0)**(1/22)/(m**(2/7)/m**(-3/7)) assuming m is positive.
m**(-27477/2926)
Simplify ((a*a*(a**(-1/4)*a*a)/a)**(13/7))**(-43)*(a*a**(-2/23)/a*a)/a**1*(a/(a*a**(-1/3)/a*a)*a)**18 assuming a is positive.
a**(-126027/644)
Simplify ((x/(x*x/(x/x**(-1)))*x)**(2/27)/((x/((x**(-1)/x*x*x)/x)*x)/(x/x**1)))/(x**(4/5)*x/(x*x**(-3)/x)*(x*x/x**(1/2))/(x/x**6)) assuming x is positive.
x**(-3821/270)
Simplify (z**1*z**(-7))**(-7/5)*(z/(z*z**(-2)/z*z))**45/((z*z**(1/4)*z*z)/z**7) assuming z is positive.
z**(2043/20)
Simplify (((t**(-1/4)*t)/t)**(-5/4))**(-39)*(t**3/t**(1/4))**(17/3) assuming t is positive.
t**(163/48)
Simplify ((((t/(t/t**(-2/11)))/(t*t/(t/t**(-3/2))))**(1/4))**(-4/15))**(-1/11) assuming t is positive.
t**(7/3630)
Simplify ((u*u**(-7)/u)**(-11)*(u**10)**36)**44 assuming u is positive.
u**19228
Simplify (((u**(-2/7))**(2/25)/(u**6/(u/(u/u**(2/15)*u))))**14)**33 assuming u is positive.
u**(-79574/25)
Simplify (p**1)**(3/13)*(p**(-1))**(-4/7)*(p*p**(-2/7)*(p*(p**(-3)/p)/p*p*p)/p)/((p**(-2/3)*p)/p)**(-48) assuming p is positive.
p**(-3047/91)
Simplify ((a*a**9/a)**(-3/22)/(a**21*(a/(a*a**(-11)*a))/a))**(-6/11) assuming a is positive.
a**(2061/121)
Simplify (((x/(x**(2/13)*x*x*x)*x)/(x**(6/5)*x))/((x*x*x**(-2/7))/x**(-2/15)))/((x/(x**(1/10)/x))/(x/x**(-1/4))*x**(-3)*x/x**3) assuming x is positive.
x**(-4649/5460)
Simplify ((f**2)**(-27))**(-4/3)/(((f**0/f)/((f/f**(2/27))/f))/(f**(-2/5))**(-3/5)) assuming f is positive.
f**(49387/675)
Simplify (c**(4/5)/c*(c*c/(c**(2/39)/c))/c)/(c/(c**(-11)*c)*c/(c*(c*c/(c/(c*c**(23/4)/c)))/c)) assuming c is positive.
c**(-2731/780)
Simplify (s**(-2)*s)**49/(s**1*s*s**(-3/8))*((s/s**(-5))/(s*(s*s/(s/(s*s**6*s)*s))/s))**(-38) assuming s is positive.
s**(203/8)
Simplify ((j/(j*j**(2/3)))**23/(j/(j/(j**(-2)*j*j))*j**(-9)))**(-24) assuming j is positive.
j**152
Simplify (b**(2/11)/(b*b**(-1/3)*b*b*b))**(-2/121)*(b**3/(b*b*b/(((b**(-6)/b)/b*b*b)/b)*b*b*b))/(b*b**(-3)*b*b*(b/((b**(-4)/b)/b))/b) assuming b is positive.
b**(-63658/3993)
Simplify ((i*(i**(-2)/i)/i*i)**(17/2))**(-1/5)*((i/i**(-1))**(2/45))**(-1/35) assuming i is positive.
i**(5351/1575)
Simplify ((t**(4/5)*t**(3/5))/(t**5/(t*t**2)))/((t/t**(1/4))**(-39))**4 assuming t is positive.
t**(582/5)
Simplify c**(2/7)*c**2*c*c**(-2/9)*c**(-3)/c*(c/c**(-4)*c/((c**(-1/2)/c)/c)*c)**(2/43) assuming c is positive.
c**(-1340/2709)
Simplify ((((((p**(3/4)/p*p)/p)/p)/p)/p**(-2/15))/((p/((p**(1/2)*p*p)/p))/p)**(14/11))/((p*p*p**(-13))/p*p**9)**(-20) assuming p is positive.
p**(-39737/660)
Simplify y**(-1/6)*(y**(-1/5)*y)/y*(y/(y**9/y))/y*y**(-9/2)*((y/(y/((y/(y**(8/3)*y*y))/y)*y*y))/(y*y**(4/5)))/(y**(-2/19)/y**8) assuming y is positive.
y**(-754/57)
Simplify (b**(-1/3))**(1/3)*b**(1/11)/(b**(-6)/b)*(b**0*b/b**13)**(1/12) assuming b is positive.
b**(592/99)
Simplify ((s**(-2/3)*s**(-2/7))/(s*s**(1/4))**(9/5))/((s**4/s*(s*s/s**(-3/7)*s)/s)/((s/s**(-5)*s)/s**(-2/7))) assuming s is positive.
s**(-113/84)
Simplify ((r/(r/((r*r/r**(-1/6)*r)/r)))**(-2/77))**(7/4)/((r**(-1/3)*r)**(-1/86)*r**(-2/13)/r**(-5/2)) assuming r is positive.
r**(-179813/73788)
Simplify (((g**(-10)/(g/g**(2/19)))/((g/(g/(g/(((g*g*(g/(g*g**(-11)*g*g*g))/g)/g)/g))))/(g/g**(1/2)*g)))**44)**(11/7) assuming g is positive.
g**(-31218/133)
Simplify (((((u/(u*(u*u**(-2/11)/u)/u))/u)/u)/u)/(u/(u/u**(2/11)*u)*u))/(u**(2/7)*u**(1/2))*(u/u**(2/11))/u**(2/21)*u**6*u**1/u*u assuming u is positive.
u**(2281/462)
Simplify ((i/(i/((i/i**(-3))/i*i))*i*i)/(i*i**(-15)*i*i*i)*(i**1*i)/i*(i/i**(2/17))/i)**33 assuming i is positive.
i**(10032/17)
Simplify s**17*s*s*s*((s/s**41)/s*s)/s*((s*s**(-33)*s)/s)/(s*s**(1/3)) assuming s is positive.
s**(-163/3)
Simplify (c**6/c**(2/13))**(-42)*c*c**5*c**6*((c**(-1)*c)/c*c*c)/((c*c/c**(3/4))/c) assuming c is positive.
c**(-12105/52)
Simplify ((l**(-9)/((l*l**(-30)/l*l)/l*l))**(2/41))**(-39) assuming l is positive.
l**(-1560/41)
Simplify ((f/(f**(-21)*f))/(f**24/f)*(f**(6/11))**(10/11))**2 assuming f is positive.
f**(-364/121)
Simplify ((g**(-11)/g*g)/(g**(-10)/g))**(4/33)/((g**(2/13))**(4/3))**22 assuming g is positive.
g**(-176/39)
Simplify (q**(-1/8)*q**4)**27/((q**(1/3))**(17/5))**(2/89) assuming q is positive.
q**(1117123/10680)
Simplify ((h**(-1)*h)**(-6)*(h/h**(-1/3)*h)/(h**3*h*h))/((h*h/h**(5/6)*h**6)/((h/((h**(-5)/h)/h))/h*h**(2/3))) assuming h is positive.
h**(-13/6)
Simplify (((((i/(i/(i/((i*i**3*i)/i*i)*i)*i))/i)/i)/(i/(i*i**8)))/(i**(-2)/i)**(2/19))/(((i*i/i**(2/29))/(i/i**(4/5)))/(i**2)**37) assuming i is positive.
i**(205481/2755)
Simplify ((((y*y*y**(-6))/y)/(y**(-4)*y))/((y*y*y**(-2/7)/y)/(y**6/y)))/((y**(-1))**(-15)*(y**(-1/3))**(16/5)) assuming y is positive.
y**(-1223/105)
Simplify ((y**(-2/5)/y*y**(-1/5))/(y**(-2/9)*((((y/y**(-3))/y)/y)/y)/y))/((y*y**(-1/4)/y*y**(1/7)/y)/(y**(-2/7)/y**(4/7))) assuming y is positive.
y**(-203/180)
Simplify (f**(-2/47)/(f**(1/3)*f)*(f**(-5/6)*f)**26)**(2/9) assuming f is positive.
f**(278/423)
Simplify v*(((v/v**(-1/7))/v)/v)/v*v*v**(-5/12)*(v*v*v**43)**(-7/3) assuming v is positive.
v**(-8843/84)
Simplify ((v*v**5)/((v/(v*v**10))/v)*v*v/v**(2/57)*v**(-2/5))**(-5/6) assuming v is positive.
v**(-5291/342)
Simplify ((((c*c/((c/(c/(c/(c**3*c))*c))/c))/c)/c)**(9/8)/((c**(10/3)/c)/c)**(6/23))**(-9) assuming c is positive.
c**(-8739/184)
Simplify (s**(1/2)*s*s)**(2/67)*(s**1*s)**(4/5)*s**(2/19)*s**(-8)*s**(2/7)*s/((s/(s/(s**(-9)*s)))/s) assuming s is positive.
s**(181143/44555)
Simplify (q**(-21)*q/(q**(-4/5)*q))/(q**(2/45)*q*q/(q**(1/20)/q)) assuming q is positive.
q**(-835/36)
Simplify ((u/(u/(u/u**0)))**16)**(-6/31)/((u/u**(-4/3)*u/(u**(2/13)*u))/(u/(u/u**(-2))*u**(1/5)/u)) assuming u is positive.
u**(-48821/6045)
Simplify ((m/(m/m**(-2/17)))/((m*m**(4/5)*m)/m*m))**(-1/50)/((m**(3/2)*m*m/m**(7/4))/(m**(-1/4))**39) assuming m is positive.
m**(-48627/4250)
Simplify (g**4/g*g*g/(g*g**(2/27))*g**(1/9)/(g*g/(g*g*g*g/(((g*g**(-1/20)*g)/g)/g)*g*g)*g))**(1/8) assuming g is positive.
g**(3827/4320)
Simplify (b/b**8*b**(-6/11))**(-47)/((b**(-2/3))**(-2/45)*(b*b*(b*b**(2/9))/b)/(b*b/b**(5/2))) assuming b is positive.
b**(1045097/2970)
Simplify ((h*((h*h**(4/9))/h)/h)**(-2/3)*(h/((h/(h/(h/(h**(9/5)/h)*h)))/h))/h**(1/6))**(-24) assuming h is positive.
h**(-364/45)
Simplify ((t*t**(1/28)*(t*((t/(t*t*(t**(-33)/t)/t*t))/t*t)/t*t)/t)**(-26))**(-15/2) assuming t is positive.
t**(185835/28)
Simplify (v/((v**9/v)/v)*v**(-3/2)*v*v*v*v**(1/5)*v*v**(1/10)/v)**(-17/2) assuming v is positive.
v**(357/10)
Simplify (f/f**0*f)**(-1)*f**(-3/4)*f*f**(4/7)/f*((f*f/((f/(((f**(-1)*f)/f)/f))/f)*f)**(2/17))**(-2/13) assuming f is positive.
f**(-13593/6188)
Simplify ((q**0)**(-49))**(-2/47)/(((q/((q**(-4/9)/q)/q)*q)/(q/q**(2/3)))/(q*q**(2/5))**(-11/5)) assuming q is positive.
q**(-1618/225)
Simplify ((i/(i*i/i**(-1)))**(-5/2)*i**(-6)/((i**(-1/4)/i)/i))/((i*i**(-1/3))**(-36/11)*i**(-2)*((i/(i*(i**(-2/11)*i)/i*i*i*i)*i)/i)/i) assuming i is positive.
i**(37/4)
Simplify ((p*p/p**(1/3)*p**(-4/9))/((p*p**(-2/3))/(p/p**(2/7))))/(p**(1/4)/(p**(-1/9)/p)*p**(-2/23)*p*(p**(-3)/p)/p*p) assuming p is positive.
p**(19295/5796)
Simplify (p**1*p)**(-3/44)*p/(p*((p/p**(-5))/p)/p)*p*p**(-8)/p*((p**(2/7))**(-4))**(2/33) assuming p is positive.
p**(-5639/462)
Simplify (o**3/o**0)**(23/4)*((o/(o**(-1/6)*o*o*o*o)*o)/(o*o*o**(-13)))**(-2/93) assuming o is positive.
o**(19031/1116)
Simplify ((m**(-25/4)/m**(-4))/(m**(-6/23)*m**(6/23)))**(2/69) assuming m is positive.
m**(-3/46)
Simplify (((g*g**(-38)*g)/g*g/g**(-3/14))/((g/((((g*g*g**11*g*g)/g)/g)/g*g*g))/g)**(-34))**(-19) assuming g is positive.
g**(136135/14)
Simplify (t**(-2/7)/(t/((t*t**(-3/7))/t)))**(-9/2)/(t**(-3)/t**(-1/2)*(t/((t/(t/t**(-1/4)))/t))/t**(3/7)) assuming t is positive.
t**(235/28)
Simplify ((y/(y/y**2))**30)**31*(y**(-1))**12*y**(-7)*y*y/(y**(2/7)/y)*y assuming y | {
"pile_set_name": "DM Mathematics"
} |
275305)**2
Factor 3*m**2 + 1167846*m.
3*m*(m + 389282)
What is f in f**5/3 + 233*f**4/3 + 4781*f**3 + 259075*f**2/3 - 273652*f/3 = 0?
-148, -43, 0, 1
Let 2*n**4/11 + 56*n**3/11 + 514*n**2/11 + 1756*n/11 + 1872/11 = 0. What is n?
-13, -9, -4, -2
Factor 4*g**2 - 384924*g - 2694664.
4*(g - 96238)*(g + 7)
Determine x, given that -4*x**4/3 - 60*x**3 + 2060*x**2/3 + 6300*x - 20776/3 = 0.
-53, -7, 1, 14
Factor 4*x**4 + 7464*x**3 + 3474468*x**2 - 7001264*x - 10468272.
4*(x - 3)*(x + 1)*(x + 934)**2
Let 1571*z**2/3 + 3136*z/3 - 4 = 0. What is z?
-2, 6/1571
Suppose g**5/8 - 11*g**4 + 285*g**3/4 - 53*g**2/2 - 2491*g/8 - 405/2 = 0. Calculate g.
-1, 4, 5, 81
Factor i**4/5 + 1348*i**3/5 + 451572*i**2/5 - 1822496*i/5 + 1827904/5.
(i - 2)**2*(i + 676)**2/5
Factor -2*k**4 + 80*k**3 + 1014*k**2 - 308*k - 19600.
-2*(k - 50)*(k - 4)*(k + 7)**2
Factor -4*k**3 - 19260*k**2 + 38548*k + 57804.
-4*(k - 3)*(k + 1)*(k + 4817)
Solve -5*b**2 - 5112820*b - 1307046417620 = 0 for b.
-511282
Factor -h**3/4 - 132*h**2 - 13824*h + 995328.
-(h - 48)*(h + 288)**2/4
Find d such that -2*d**3 - 394*d**2 - 4462*d - 4070 = 0.
-185, -11, -1
Find j such that -3*j**4 + 174*j**3 - 2313*j**2 + 9366*j - 10824 = 0.
2, 4, 11, 41
Factor 3*m**2 - 40401*m + 282660.
3*(m - 13460)*(m - 7)
Suppose 5*d**5 - 3955*d**4 + 833735*d**3 - 20445485*d**2 + 142921480*d - 123305780 = 0. Calculate d.
1, 13, 382
What is q in 5*q**5 + 2240*q**4 + 265930*q**3 + 3341620*q**2 + 4866225*q - 8476020 = 0?
-217, -12, -3, 1
Let -2*r**5 + 190*r**4 + 8602*r**3 + 66754*r**2 - 263264*r + 187720 = 0. Calculate r.
-19, 1, 2, 130
Determine o so that -o**4/8 + 25*o**3/4 + 1287*o**2/8 - 1071*o/2 = 0.
-21, 0, 3, 68
Let -196*o**4 - 3976*o**3 + 10272*o**2 + 56960*o - 140800 = 0. What is o?
-22, -4, 20/7
Solve -r**2/8 + 8*r - 735/8 = 0.
15, 49
Factor 2*v**4/9 - 6560*v**3/9 - 6572*v**2 - 19728*v - 19734.
2*(v - 3289)*(v + 3)**3/9
Factor -w**4/6 - w**3/3 + 6*w**2 + 12*w.
-w*(w - 6)*(w + 2)*(w + 6)/6
Solve -4*k**3/7 - 7778*k**2/7 - 19424*k/7 - 7768/7 = 0.
-1942, -2, -1/2
Factor -t**5 + 4*t**4 + t**3 - 4*t**2.
-t**2*(t - 4)*(t - 1)*(t + 1)
Find c such that 3*c**4/5 - 30996*c**3/5 - 93006*c**2/5 - 93012*c/5 - 6201 = 0.
-1, 10335
Find r such that 2*r**4/3 - 2506*r**3/15 + 18974*r**2/3 + 13286*r/5 - 19176/5 = 0.
-1, 3/5, 47, 204
Factor -4*m**2 - 264*m + 6880.
-4*(m - 20)*(m + 86)
Factor -3*m**2 + 116352*m - 1128148992.
-3*(m - 19392)**2
Suppose -2*j**2/11 - 28174*j/11 - 28172/11 = 0. Calculate j.
-14086, -1
What is d in -5*d**3 - 114615*d**2 + 458520*d - 458540 = 0?
-22927, 2
Find h, given that 4*h**2/3 - 406016*h/3 + 10303062016/3 = 0.
50752
Factor -3*i**5/4 + 1044*i**4 - 1449063*i**3/4 - 1457427*i**2/2.
-3*i**2*(i - 697)**2*(i + 2)/4
Determine h, given that 3*h**5 - 2256*h**4 - 69909*h**3 - 371382*h**2 + 2396388*h - 2711976 = 0.
-17, 2, 782
Let 6832*d**5/3 + 73537*d**4 + 275386*d**3/3 + 20639*d**2 + 310*d/3 = 0. What is d?
-31, -1, -2/7, -5/976, 0
Solve -3*x**2/4 - 2025*x - 56553/4 = 0 for x.
-2693, -7
Determine l so that -2*l**2/3 + 296*l/3 + 298/3 = 0.
-1, 149
Find w such that 92*w**4 + 16860*w**3 + 70264*w**2 + 17184*w = 0.
-179, -4, -6/23, 0
Factor 35*s**3 + 790*s**2 - 365*s - 460.
5*(s - 1)*(s + 23)*(7*s + 4)
Determine x so that x**3/5 + 44*x**2/5 - 12*x - 2880 = 0.
-30, 16
Factor -2*c**3 - 218*c**2 - 710*c + 332706.
-2*(c - 33)*(c + 71)**2
What is s in -725*s**2 - 860*s + 460 = 0?
-46/29, 2/5
Factor 2*a**2 + 46*a.
2*a*(a + 23)
Factor 2120*t**2 - 5092*t - 2376.
4*(5*t + 2)*(106*t - 297)
Factor -2*b**2/13 + 7664*b/13 + 69138/13.
-2*(b - 3841)*(b + 9)/13
Factor 4*w**2 - 2532*w + 110168.
4*(w - 586)*(w - 47)
Find i, given that i**3 - 4063*i**2 + 24347*i - 20285 = 0.
1, 5, 4057
Suppose -q**2 - 1417*q - 26562 = 0. Calculate q.
-1398, -19
Find r, given that -4*r**5/3 + 160*r**4 + 7316*r**3/3 + 8416*r**2 - 7312*r/3 - 8576 = 0.
-8, -6, -1, 1, 134
Let -10*w**5 - 15610*w**4 - 585145*w**3/2 + 628105*w**2 - 801735*w/2 + 80955 = 0. What is w?
-1542, -21, 1/2, 1
Find p, given that -2*p**4/9 - 166*p**3/9 + 1184*p**2 - 12672*p - 49152 = 0.
-128, -3, 24
Factor -3*w**3 - 531*w**2 + 4395*w - 8325.
-3*(w - 5)*(w - 3)*(w + 185)
Factor 22*p**3/7 + 34404*p**2/7 - 6256*p/7.
2*p*(p + 1564)*(11*p - 2)/7
Factor -2*u**3 - 338*u**2 - 12988*u - 24640.
-2*(u + 2)*(u + 55)*(u + 112)
Let 7*s**3/2 + 13849*s**2/6 - 12887*s/3 + 1984 = 0. What is s?
-1984/3, 6/7, 1
Factor -5*n**2 - 385*n - 380.
-5*(n + 1)*(n + 76)
Determine z, given that -2*z**5/3 + 364*z**4/3 - 1226*z**3 - 14356*z**2/3 - 1480*z/3 + 6384 = 0.
-2, 1, 14, 171
Suppose -3*r**5/7 + 12*r**4/7 + 111*r**3/7 - 120*r**2/7 = 0. Calculate r.
-5, 0, 1, 8
Determine k so that k**5/5 + 58*k**4/5 + 723*k**3/5 + 3514*k**2/5 + 6976*k/5 + 4128/5 = 0.
-43, -6, -4, -1
Solve 10*g**4 - 135*g**3 - 1825*g**2 + 5250*g = 0 for g.
-10, 0, 5/2, 21
Suppose y**5/2 - 3*y**4/2 - 37*y**3/2 - 33*y**2/2 + 36*y = 0. Calculate y.
-3, 0, 1, 8
Factor 2*h**2/13 + 744*h/13 + 67942/13.
2*(h + 161)*(h + 211)/13
Suppose 4*h**5/9 - 227*h**4/3 - 765*h**3 - 2679*h**2 - 3771*h - 1620 = 0. What is h?
-3, -3/4, 180
Suppose -3*u**5/4 - 1347*u**4/4 + 5469*u**3/4 + 14967*u**2/4 + 4077*u/2 = 0. Calculate u.
-453, -1, 0, 6
Suppose 2*z**5/7 - 1242*z**4/7 + 192194*z**3/7 + 27990*z**2 - 386884*z/7 = 0. What is z?
-2, 0, 1, 311
Factor -26738*m**2/19 + 213900*m/19 + 32/19.
-2*(m - 8)*(13369*m + 2)/19
Find x such that -x**4/2 - 787*x**3 + 3156*x**2 = 0.
-1578, 0, 4
Solve 2*l**2/5 - 76*l/5 - 318 = 0.
-15, 53
Factor -m**2/2 + 206*m + 6405/2.
-(m - 427)*(m + 15)/2
Determine b so that 4*b**2 - 18484*b - 18488 = 0.
-1, 4622
Find f such that f**3 - 334882*f**2 + 669761*f - 334880 = 0.
1, 334880
Factor 2*n**2/3 - 366838*n/3.
2*n*(n - 183419)/3
Suppose 20*h**5 - 9045*h**4 + 175040*h**3 - 34155*h**2 - 175060*h + 43200 = 0. Calculate h.
-1, 1/4, 1, 20, 432
Factor v**3 + 35070*v**2 - 140292*v + 140296.
(v - 2)**2*(v + 35074)
Find i, given that 50*i**5 + 660*i**4 + 1726*i**3 + 1268*i**2 + 72*i - 80 = 0.
-10, -2, -1, -2/5, 1/5
Factor -b**2/2 - 16992*b + 33985/2.
-(b - 1)*(b + 33985)/2
Solve -3*b**2 + 466686*b - 18149651883 = 0.
77781
Determine w, given that 25*w**4 + 42845*w**3 + 34105*w**2 - 265485*w + 51390 = 0.
-1713, -3, 1/5, 2
Let -39*f**2/2 + 20745*f/2 - 40392 = 0. What is f?
51/13, 528
Factor -4*r**2 - 7310864*r - 3340545776656.
-4*(r + 913858)**2
Let 4*z**5 - 84*z**4 - 196*z**3 + 2052*z**2 + 6912*z + 4752 = 0. Calculate z.
-3, -1, 6, 22
Let 2*v**5/5 - 56*v**4/5 - 8546*v**3/5 - 25216*v**2/5 - 16728*v/5 = 0. Calculate v.
-51, -2, -1, 0, 82
Solve -v**3 + 122069*v**2 - 244135*v + 122067 = 0 for v.
1, 122067
Solve -2*q**2/7 - 1286*q/7 + 184 = 0.
-644, 1
Find v, given that -16*v**5/3 - 616*v**4 + 31951*v**3/3 - 70124*v**2/3 + 9729*v - 3406/3 = 0.
-131, 1/4, 2, 13
Suppose 4*a**5/7 - 132*a**4/7 - 1244*a**3/7 - 2796*a**2/7 + 232*a/7 + 3936/7 = 0. Calculate a.
-4, -3, -2, 1, 41
Let 2*h**2/5 + 16646*h/5 - 66616/5 = 0. Calculate h.
-8327, 4
Find a such that -2*a**2/5 + 128*a/5 + 26 = 0.
-1, 65
Find i such that -2*i**4/3 - 146*i**3/15 - 82*i**2/3 - 142*i/15 + 44/5 = 0.
-11, -3, -1, 2/5
Determine i, given that 8*i**4 - 3914*i**3 + 978*i**2 = 0.
0, 1/4, 489
Factor u**5/7 + 330*u**4/7 + 2270*u**3/7 + 2880*u**2/7 - 8775*u/7 - 17442/7.
(u - 2)*(u + 3)**3*(u + 323)/7
Factor v**4/9 - 25*v**3/9 + 127*v**2/9 + 17*v.
v*(v - 17)*(v - 9)*(v + 1)/9
Factor 5*t**3 - 760*t**2 + 3555*t + 17640.
5*(t - 147)*(t - 8)*(t + 3)
Solve 2*b**2 - 21598*b + 21596 = 0 for b.
1, 10798
Solve -t**2/5 + 380*t + 15264/5 = 0 for t.
-8, 1908
Factor 2*f**3 + 188*f**2 + 4418*f.
2*f*(f + 47)**2
Find l such that -3*l**5/7 + 669*l**4/7 - 6864*l**3 + 1091904*l**2/7 = 0.
0, 47, 88
Factor 117*g**2/5 + 678*g/5 - 144/5.
3*(g + 6)*(39*g - 8)/5
Factor -4*r**2 + 52632*r - 173132964.
-4*(r - 6579)**2
Factor 11*w**2 + 170*w + 600.
(w + 10)*(11*w + 60)
Determine w, given that -w**5/4 + 163*w**4/2 + 493*w**3/2 + 83*w**2 - 985*w/4 - 329/2 = 0.
-2, -1, 1, 329
What is w in 39*w**5/4 - 587*w**4/4 + 2487*w**3/4 - 2037*w**2/4 + 49*w/2 = 0?
0, 2/39, 1, 7
Solve -2*m**4 - 4346*m**3 - 2367474*m**2 - 7072030*m - 4708900 = 0 for m.
-1085, -2, -1
Suppose -2*g**2/7 + 1312*g/7 + 55680/7 = 0. What is g?
-40, 696
Let 2*d**2 + 769324*d + 73982427122 = 0. Calculate d.
-192331
What is m in m**4/4 - 32555*m**3/2 + 1059762913*m**2/4 + 529930290*m + 2 | {
"pile_set_name": "DM Mathematics"
} |
a microgram?
5800
How many micrometers are there in 22.66756 meters?
22667560
What is 3/40 of a milligram in micrograms?
75
What is 15/4 of a gram in milligrams?
3750
Convert 1.0562 nanograms to kilograms.
0.0000000000010562
How many millilitres are there in 0.9586547 litres?
958.6547
How many microseconds are there in 49/5 of a millisecond?
9800
What is 11/8 of a millimeter in micrometers?
1375
What is 6510.529 decades in months?
781263.48
What is 354597.4l in millilitres?
354597400
What is 11/8 of a litre in millilitres?
1375
What is sixty-four fifths of a micrometer in nanometers?
12800
What is 1/5 of a kilogram in grams?
200
What is 67.7682 nanometers in millimeters?
0.0000677682
How many milliseconds are there in 3521.605us?
3.521605
How many millilitres are there in 5/8 of a litre?
625
How many millimeters are there in 2.248234km?
2248234
Convert 7392.908 weeks to days.
51750.356
Convert 9.642773 years to millennia.
0.009642773
Convert 5.187977 millilitres to litres.
0.005187977
What is 0.9960592ng in micrograms?
0.0009960592
Convert 80.72572 kilograms to grams.
80725.72
Convert 3.158742 millennia to months.
37904.904
What is 0.2260695 days in nanoseconds?
19532404800000
What is 317.54952 minutes in days?
0.2205205
What is 1/20 of a millisecond in microseconds?
50
What is 24334.61 millennia in centuries?
243346.1
How many nanograms are there in 3/40 of a milligram?
75000
How many kilometers are there in 0.5688625 micrometers?
0.0000000005688625
What is fifty-three fifths of a kilometer in meters?
10600
How many months are there in 10/3 of a year?
40
What is 0.5978114mm in centimeters?
0.05978114
How many centimeters are there in 6587.549 meters?
658754.9
Convert 26226.14 meters to millimeters.
26226140
How many decades are there in 18744.066 months?
156.20055
Convert 70.46427l to millilitres.
70464.27
What is twenty-three eighths of a day in minutes?
4140
What is 18/5 of a microgram in nanograms?
3600
How many millilitres are there in 445972.6l?
445972600
How many minutes are there in seven sixths of a day?
1680
How many minutes are there in 1/4 of a week?
2520
What is thirty-three fifths of a second in milliseconds?
6600
Convert 0.9246182ml to litres.
0.0009246182
Convert 56.52822s to microseconds.
56528220
What is thirteen eighths of a meter in millimeters?
1625
How many centuries are there in 11/2 of a millennium?
55
What is 3/5 of a minute in seconds?
36
Convert 389028.5mm to nanometers.
389028500000
Convert 0.2325983us to milliseconds.
0.0002325983
What is 1/24 of a millennium in months?
500
What is 1/5 of a litre in millilitres?
200
Convert 86.10436 kilograms to milligrams.
86104360
What is 0.1453139mg in kilograms?
0.0000001453139
What is 158106.21 nanoseconds in minutes?
0.0000026351035
How many nanograms are there in 27/2 of a microgram?
13500
Convert 111694.14 months to years.
9307.845
What is fourty-five quarters of a microgram in nanograms?
11250
How many millilitres are there in 34/5 of a litre?
6800
What is 12115.71 litres in millilitres?
12115710
How many nanometers are there in 47217.93mm?
47217930000
What is 3/8 of a centimeter in micrometers?
3750
What is 3/16 of a day in seconds?
16200
What is 2/125 of a microgram in nanograms?
16
What is 675541.8 millilitres in litres?
675.5418
Convert 585.5661mg to tonnes.
0.0000005855661
What is fifty-nine fifths of a microgram in nanograms?
11800
What is fifty-one quarters of a litre in millilitres?
12750
How many litres are there in 85285.88ml?
85.28588
What is fifty-five thirds of a century in months?
22000
How many nanoseconds are there in 6/5 of a microsecond?
1200
What is 7/4 of a millennium in decades?
175
What is 2.365558 litres in millilitres?
2365.558
How many weeks are there in 169606426.5 nanoseconds?
0.00000028043390625
How many litres are there in 0.6196742 millilitres?
0.0006196742
How many years are there in 39.85371 months?
3.3211425
How many meters are there in 3.661872cm?
0.03661872
How many micrometers are there in 52900.19 nanometers?
52.90019
What is 79902.2 meters in centimeters?
7990220
How many millilitres are there in 5609.689 litres?
5609689
How many millilitres are there in 51/4 of a litre?
12750
What is 51.15321 months in years?
4.2627675
How many minutes are there in ten ninths of a day?
1600
How many years are there in seventy-one quarters of a century?
1775
Convert 1.8479466 months to millennia.
0.00015399555
How many micrometers are there in three fifths of a millimeter?
600
Convert 3070.918km to millimeters.
3070918000
What is 7/4 of a day in hours?
42
What is eighty-one quarters of a week in hours?
3402
How many millilitres are there in seven quarters of a litre?
1750
Convert 64278.4 grams to milligrams.
64278400
How many seconds are there in four thirds of a hour?
4800
How many nanograms are there in one sixteenth of a milligram?
62500
What is thirteen fifths of a microgram in nanograms?
2600
Convert 82385.23l to millilitres.
82385230
Convert 97.53599 milligrams to tonnes.
0.00000009753599
What is 57521.71ml in litres?
57.52171
What is one tenth of a litre in millilitres?
100
Convert 605.3709ug to milligrams.
0.6053709
How many litres are there in 5234.721 millilitres?
5.234721
What is fourty-one halves of a millisecond in microseconds?
20500
Convert 7017.506 years to months.
84210.072
How many litres are there in 11268.18 millilitres?
11.26818
Convert 9494.174 litres to millilitres.
9494174
Convert 871257.1 kilograms to grams.
871257100
What is 71.1052l in millilitres?
71105.2
How many kilometers are there in 84.91583um?
0.00000008491583
How many years are there in twenty-nine halves of a millennium?
14500
How many days are there in ten sevenths of a week?
10
How many millimeters are there in 7/25 of a meter?
280
Convert 24.924009s to minutes.
0.41540015
What is 18/5 of a decade in years?
36
How many millilitres are there in 3/25 of a litre?
120
How many weeks are there in 1315937.07ns?
0.000000002175821875
What is seventeen quarters of a kilometer in meters?
4250
What is 42508.05 centuries in decades?
425080.5
How many tonnes are there in 544.1411 kilograms?
0.5441411
How many millilitres are there in twenty-one halves of a litre?
10500
What is 15/4 of a litre in millilitres?
3750
How many years are there in 24.52454 centuries?
2452.454
Convert 726.6738um to nanometers.
726673.8
What is one quarter of a kilometer in centimeters?
25000
What is 41/2 of a millennium in decades?
2050
How many micrograms are there in 1/16 of a gram?
62500
What is two fifteenths of a week in seconds?
80640
How many millilitres are there in thirty-one halves of a litre?
15500
How many micrograms are there in 7/2 of a milligram?
3500
How many days are there in 83.613195 milliseconds?
0.0000009677453125
Convert 48923.03ug to tonnes.
0.00000004892303
What is 6789.215ns in seconds?
0.000006789215
How many litres are there in 588525.7 millilitres?
588.5257
Convert 74008.73 kilometers to nanometers.
74008730000000000
How many years are there in 0.572157 millennia?
572.157
Convert 59801.36 nanometers to millimeters.
0.05980136
How many millilitres are there in 29/2 of a litre?
14500
Convert 13516677.9 nanoseconds to days.
0.00000015644303125
How many hours are there in 63.990081us?
0.0000000177750225
How many grams are there in 29/2 of a kilogram?
14500
What is 15.28587m in nanometers?
15285870000
What is 18/5 of a second in milliseconds?
3600
What is 5.780913 millennia in years?
5780.913
How many hours are there in three eighths of a week?
63
What is 1/36 of a week in seconds?
16800
How many millilitres are there in 8.11705l?
8117.05
How many grams are there in thirteen eighths of a kilogram?
1625
How many months are there in 0.165978 millennia?
1991.736
How many years are there in 18/5 of a century?
360
How many millilitres are there in one quarter of a litre?
250
What is 73.13181 centuries in months?
87758.172
What is seven eighths of a gram in milligrams?
875
How many days are there in 3/7 of a week?
3
How many millilitres are there in eleven eighths of a litre?
1375
What is 69/2 of a litre in millilitres?
34500
What is 0.8995092 decades in months?
107.941104
What is 270000.24 months in decades?
2250.002
Convert 46.00211 centuries to decades.
460.0211
What is twenty- | {
"pile_set_name": "DM Mathematics"
} |
Simplify (sqrt(288) + (-3 + sqrt(288))**2)*-3.
-891 + 180*sqrt(2)
Simplify 6*(3 + sqrt(19)) + ((sqrt(171)*3)**2 - sqrt(171)).
3*sqrt(19) + 1557
Simplify 1*(-1 + 3*sqrt(176))**2.
-24*sqrt(11) + 1585
Simplify sqrt(26)/sqrt(50)*2.
2*sqrt(13)/5
Simplify (-2*(0 + sqrt(252)))**2.
1008
Simplify (sqrt(304) + 5 - sqrt(190)/sqrt(250)) + 2.
7 + 19*sqrt(19)/5
Simplify (sqrt(12)*2 + 0)*-2.
-8*sqrt(3)
Simplify (1*(sqrt(27) + 2*sqrt(27)))/(-4*sqrt(36)/sqrt(4)).
-3*sqrt(3)/4
Simplify ((sqrt(3) - (sqrt(3) + -3 + 4)) + 0 + -5)**2.
36
Simplify -1*sqrt(38)/sqrt(2)*-5.
5*sqrt(19)
Simplify (sqrt(3024)*-2)/(sqrt(30)/(sqrt(40)/sqrt(4))).
-24*sqrt(7)
Simplify 4 + ((sqrt(38) - (-2*sqrt(190) + sqrt(190) - sqrt(190))/sqrt(5) - sqrt(38))/sqrt(2))**2.
80
Simplify (sqrt(180)/(-2*sqrt(6)))/sqrt(6).
-sqrt(5)/2
Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + 1*sqrt(77) + sqrt(77)))*-6)/((sqrt(84)/sqrt(3))/sqrt(4)))**2.
1859
Simplify 2*((sqrt(26)/(sqrt(8)/sqrt(4)))**2 + sqrt(13)).
2*sqrt(13) + 26
Simplify -3*sqrt(3328).
-48*sqrt(13)
Simplify ((sqrt(143) - 3*sqrt(143))/sqrt(11) - sqrt(13))**2 - sqrt(416)/sqrt(8).
-2*sqrt(13) + 117
Simplify -5 + (4*(sqrt(2) + 0) - sqrt(2)) + sqrt(2) + 1.
-4 + 4*sqrt(2)
Simplify (sqrt(68) + 2 - sqrt(17)) + 3.
sqrt(17) + 5
Simplify (1*sqrt(3)*3 + (sqrt(12) - (sqrt(12) - sqrt(48)/sqrt(4))) + -1)**2.
-10*sqrt(3) + 76
Simplify 2*(sqrt(52) + -3).
-6 + 4*sqrt(13)
Simplify sqrt(117)/(3*sqrt(108)/sqrt(12))*5.
5*sqrt(13)/3
Simplify -6*((sqrt(700)*-2 + sqrt(700))**2 + (sqrt(28) - sqrt(28)*-1) + sqrt(7)).
-4200 - 30*sqrt(7)
Simplify sqrt(133)/((sqrt(35) + sqrt(140)/sqrt(4))/sqrt(5)).
sqrt(19)/2
Simplify (1*sqrt(2) + -2)**2 + 4.
-4*sqrt(2) + 10
Simplify ((sqrt(33)*3 - sqrt(33))*-1)/sqrt(3).
-2*sqrt(11)
Simplify -1 + (sqrt(130) + -3*-3*sqrt(130))/sqrt(10).
-1 + 10*sqrt(13)
Simplify ((-2*sqrt(351))/sqrt(9))/(sqrt(3) - sqrt(36)/sqrt(48)).
-4*sqrt(13)
Simplify 3 + -2*sqrt(19) - (sqrt(1900) + 2 + sqrt(1900) - sqrt(19)).
-21*sqrt(19) + 1
Simplify sqrt(325)*-5 - (sqrt(637) + 2)**2.
-641 - 53*sqrt(13)
Simplify (2*(sqrt(39) + sqrt(156)/sqrt(4)) - sqrt(39))/((sqrt(66)/sqrt(2))/sqrt(11)).
3*sqrt(13)
Simplify sqrt(11) + 2 + 3 + sqrt(11) + (-4*sqrt(176) + sqrt(11))**2 + sqrt(11).
3*sqrt(11) + 2480
Simplify (sqrt(72)*-1 - sqrt(18))/sqrt(6).
-3*sqrt(3)
Simplify 3 + sqrt(20)*-5.
-10*sqrt(5) + 3
Simplify sqrt(20)/sqrt(40) + -5.
-5 + sqrt(2)/2
Simplify -3 + (sqrt(27) + -3*sqrt(27))**2.
105
Simplify -3 + sqrt(70)/sqrt(490).
-3 + sqrt(7)/7
Simplify (2*sqrt(17) + 3)*6.
18 + 12*sqrt(17)
Simplify (sqrt(351)/sqrt(3) + -4 + 4)**2.
117
Simplify (sqrt(7) + 3 + 4)*-2 + 0.
-14 - 2*sqrt(7)
Simplify (3*sqrt(637) - sqrt(637) - sqrt(637)) + 4*sqrt(1872).
55*sqrt(13)
Simplify (sqrt(1700) - (sqrt(1700) + 1)*-5)**2.
600*sqrt(17) + 61225
Simplify ((sqrt(88) - 2*sqrt(88))*-6)/sqrt(8).
6*sqrt(11)
Simplify ((sqrt(425) + -1)*-5)**2 + -3.
-250*sqrt(17) + 10647
Simplify -5 + ((sqrt(10)*3)/sqrt(2))**2.
40
Simplify ((sqrt(448) + sqrt(7))*-6*-1)**2.
20412
Simplify ((sqrt(30)/sqrt(6))**2 + 1)*-2.
-12
Simplify -1 + (sqrt(637) + (1 + sqrt(637) - sqrt(637)) - 5*(sqrt(52) - sqrt(13))**2).
-65 + 7*sqrt(13)
Simplify sqrt(7) + sqrt(7) + sqrt(7) + (sqrt(7) + -2 + 4 - sqrt(7))**2 + -5.
-1 + 3*sqrt(7)
Simplify (-5 + 1*(-4 + (sqrt(44) - sqrt(11)) - sqrt(11)))**2.
81
Simplify (sqrt(168)/(sqrt(32)/sqrt(4)))/(sqrt(7) + sqrt(63)*-5).
-sqrt(3)/14
Simplify -4*(sqrt(28)/sqrt(4))**2*-1.
28
Simplify (sqrt(243)*2)**2 - -6*2*sqrt(3).
12*sqrt(3) + 972
Simplify sqrt(15)/sqrt(80).
sqrt(3)/4
Simplify (sqrt(26)*-2)/sqrt(2) + -3 + 0.
-2*sqrt(13) - 3
Simplify 2 + 2 + (sqrt(3) - sqrt(24)/sqrt(512))**2.
403/64
Simplify (-2*(-5 + sqrt(1900)*-2*6 + sqrt(1900)))**2.
4400*sqrt(19) + 919700
Simplify (-3 + sqrt(192)*2)**2*-4.
-3108 + 384*sqrt(3)
Simplify sqrt(85)/(sqrt(5) + (sqrt(560) - sqrt(35))/sqrt(7)).
sqrt(17)/4
Simplify (sqrt(102) + 4*4*sqrt(102))/(sqrt(6) + sqrt(36)/sqrt(24)).
34*sqrt(17)/3
Simplify (sqrt(5) - (1 + sqrt(5))) + 4 + sqrt(35)/(sqrt(14)/sqrt(2)).
sqrt(5) + 3
Simplify (2*sqrt(56)*-1)/(sqrt(8) + sqrt(16)/sqrt(8)).
-4*sqrt(7)/3
Simplify ((3*sqrt(1100) - sqrt(1100))*2)**2 + sqrt(1100) + -1*(sqrt(1100) - (sqrt(1100)*2)**2).
22000
Simplify sqrt(26)/(sqrt(242) + 2*sqrt(242) + sqrt(242) + sqrt(2)).
sqrt(13)/45
Simplify ((sqrt(77) + -3*sqrt(77))*-6 + sqrt(77) + sqrt(77))/sqrt(7).
14*sqrt(11)
Simplify -3*((sqrt(152) - sqrt(152)*2*2)/(sqrt(8) + (sqrt(96)*2)/sqrt(12)))**2.
-57
Simplify ((-3 + sqrt(108))**2 + sqrt(3))*-2.
-234 + 70*sqrt(3)
Simplify ((sqrt(125) - sqrt(125)*-4)*-5 - sqrt(125))**2 + 5.
84505
Simplify -4 + sqrt(432) + 5 + (1 + sqrt(432) - sqrt(432))**2.
2 + 12*sqrt(3)
Simplify 5*sqrt(36)/(sqrt(12)*-2).
-5*sqrt(3)/2
Simplify (2*sqrt(1100))**2 + -1 + -4.
4395
Simplify -5 + 4*sqrt(176)*-5.
-80*sqrt(11) - 5
Simplify (sqrt(11) - (-1 + sqrt(275) - sqrt(11)) - ((sqrt(11) + -1)**2 + -2)) + (sqrt(1584) + 1 + sqrt(1584) + -1)**2.
-sqrt(11) + 6327
Simplify (sqrt(133) - (2*sqrt(133) + sqrt(133)))/sqrt(7) - sqrt(19) - (sqrt(152)*-3)/sqrt(8).
0
Simplify (4 + 1*(sqrt(5)*-3 + -5))**2.
6*sqrt(5) + 46
Simplify (sqrt(117))**2 + -1 + (sqrt(91)*1 - sqrt(91) - sqrt(91))/sqrt(7) - (sqrt(1872) - (1 + sqrt(1872) + -3))**2.
-sqrt(13) + 112
Simplify (-2*-1*sqrt(44))/(sqrt(36)*5).
2*sqrt(11)/15
Simplify (sqrt(396) + 2)*5.
10 + 30*sqrt(11)
Simplify sqrt(704) + (sqrt(704) - (sqrt(704) + (sqrt(704)*-3*-2)**2 + sqrt(704)) - sqrt(704)).
-25344 - 8*sqrt(11)
Simplify -1*sqrt(28) + sqrt(7) + -4.
-4 - sqrt(7)
Simplify sqrt(15)/(sqrt(5)*-2*3).
-sqrt(3)/6
Simplify 3*sqrt(288) - (sqrt(16)*-2)/sqrt(8).
38*sqrt(2)
Simplify (-2 + sqrt(2057) + -4)**2.
-132*sqrt(17) + 2093
Simplify -3*(0 + sqrt(2) + 0).
-3*sqrt(2)
Simplify ((sqrt(88) - sqrt(88)*1)*4)/(sqrt(8) + (sqrt(8) - (sqrt(8) + -2*(sqrt(24)/sqrt(3) + sqrt(8))))).
0
Simplify ((2*sqrt(520))/sqrt(10))/(sqrt(36)/(sqrt(36)/sqrt(4) + sqrt(9))).
4*sqrt(13)
Simplify 3*(sqrt(1872) - (2*sqrt(1872) - sqrt(1872)))*6*-4.
0
Simplify (sqrt(85) - (sqrt(85) + (sqrt(85) + (sqrt(85) - -5*(sqrt(85)*1 - sqrt(85))) - sqrt(85))))/(1*sqrt(500)).
-sqrt(17)/10
Simplify (-2 + sqrt(275) - sqrt(11)) + (sqrt(33)/sqrt(27) + sqrt(11))**2.
4*sqrt(11) + 158/9
Simplify (sqrt(78)*1*-4 - sqrt(78))/((sqrt(150)/sqrt(5))/sqrt(5)).
-5*sqrt(13)
Simplify 2*(6*(sqrt(320) + 0)*6)**2.
829440
Simplify ((sqrt(136) + sqrt(136) + sqrt(136) + 1*sqrt(136) + sqrt(136) + sqrt(136))*-4)/(sqrt(48)/sqrt(96)).
-96*sqrt(17)
Simplify (5*(sqrt(147) - (sqrt(147) + (2*sqrt(147) - sqrt(147))))*1)**2.
3675
Simplify (5*(sqrt(132) + (sqrt(132) - ((-5*sqrt(132) - sqrt(132) - sqrt(132)) + sqrt(132)))))/sqrt(12) + 1.
1 + 40*sqrt(11)
Simplify (sqrt(66)/(sqrt(6)*4))**2 + -2.
-21/16
Simplify (-1 + sqrt(11) + -5)**2 + -4.
-12*sqrt(11) + 43
Simplify sqrt(55)/(sqrt(11) + 2*sqrt(539)) + -2.
-2 + sqrt(5)/15
Simplify (((sqrt(700) + -1)**2 - sqrt(700)) + 4)*-1.
-705 + 30*sqrt(7)
Simplify 1*(sqrt(396)/sqrt(4) - sqrt(11)).
2*sqrt(11)
Simplify ((sqrt(99)*3 - sqrt(44)*5)*1)**2.
11
Simplify -3 + 2 + sqrt(76)/sqrt(4) + -4.
-5 + sqrt(19)
Simplify sqrt(170)/((2*sqrt(60))/sqrt(6)).
sqrt(17)/2
Simplify (-3 + sqrt(32) + sqrt(4)/sqrt(2) + 5 + 1)**2.
30*sqrt(2) + 59
Simplify ((sqrt(1872) - (sqrt(1872) - ((sqrt(1872)*1 - sqrt(1872)) + sqrt(1872)))) + sqrt(1872))/sqrt(4).
12*sqrt(13)
Simplify 1 + (sqrt(42)*-1*5)/sqrt(6).
-5*sqrt(7) + 1
Simplify (2*(sqrt(70) - -2*sqrt(70)))/(sqrt(10) - sqrt(80)/sqrt(32)).
12*sqrt(7)
Simplify (-2 + -2 + sqrt(19)*-2)**2 + sqrt(152)/(sqrt(8) - (sqrt(8) - -4*-1*sqrt(8)) - sqrt(8)).
49*sqrt(19)/3 + 92
Simplify ((0 + sqrt(320) + -1)**2 + -4)*6.
-96*sqrt(5) + 1902
Simplify (sqrt(45)*-2*1)/(sqrt(9) + sqrt(81)*3 + sqrt(9) + sqrt(9)).
-sqrt(5)/6
Simplify 1*-1*sqrt(5)*2 + -4.
-2*sqrt(5) - 4
Simplify sqrt(76)*1 + 0.
2*sqrt(19)
Simplify (6*(-6*(sqrt(12)/sqrt(4) + sqrt(3)) - sqrt(3)))**2.
18252
Simplify ((sqrt(2) - -4*sqrt(8)/sqrt(4)) + sqrt(2))**2 + sqrt(36)/sqrt(2).
3*sqrt(2) + 72
Simplify (sqrt(77)/(-2*sqrt(11)))**2 - (-2*sqrt(84))/sqrt(12).
7/4 + 2*sqrt(7)
Simplify (sqrt(121) - (sqrt(121) - (2*(sqrt(121) - 1*sqrt(121)) + sqrt(121))))/(sqrt(539)*-1).
-sqrt(11)/7
Simplify sqrt(60)/(sqrt(12) - sqrt(768)) + 0.
-sqrt(5)/7
Simplify (-4 + sqrt(200))**2 + (sqrt(2) - (sqrt(2) - (3*sqrt(2) + -2)**2)).
-92*sqrt(2) + 238
Simplify (sqrt(11) - (sqrt(11) + (sqrt(110) + 1*sqrt(110))/sqrt(10))) | {
"pile_set_name": "DM Mathematics"
} |
rt(2) + ((sqrt(162) - (sqrt(162) - (sqrt(162) - (sqrt(162) - ((sqrt(162)*1 - sqrt(162)) + sqrt(162))))))/sqrt(9) + sqrt(18))**2.
sqrt(2) + 73
Simplify ((sqrt(4900)*-1 + sqrt(4900))/sqrt(7))**2.
0
Simplify 1 + sqrt(15)/sqrt(5) - (sqrt(3) + (sqrt(363) - (sqrt(363) + sqrt(363) + sqrt(363) + 1 - sqrt(363))) - sqrt(3)).
2 + 12*sqrt(3)
Simplify sqrt(132)/sqrt(48) + -1 + 3.
sqrt(11)/2 + 2
Simplify (0 + (sqrt(931)*1 - (sqrt(1539) + sqrt(1539) + 1*sqrt(1539))))**2.
7600
Simplify sqrt(3564) - -2*(2*sqrt(3564))**2.
18*sqrt(11) + 28512
Simplify -5*sqrt(684)*-3 + 3.
3 + 90*sqrt(19)
Simplify ((sqrt(65)*-1 + sqrt(65) + sqrt(65))*4)/(sqrt(60)/(sqrt(12)*2)).
8*sqrt(13)
Simplify -2 + 2*sqrt(3) + -5 + sqrt(21)/(sqrt(14)/sqrt(2))*4.
-7 + 6*sqrt(3)
Simplify (-6*(-1 + sqrt(13)) + -3 + -1*sqrt(13))**2.
-42*sqrt(13) + 646
Simplify (5 + (sqrt(19) + 0 - sqrt(19)))*5.
25
Simplify (sqrt(20)/(sqrt(24)/sqrt(6)))**2 - (sqrt(320) - (sqrt(320) + 0)).
5
Simplify (3*sqrt(68))**2*-1.
-612
Simplify ((sqrt(19) - 2*sqrt(19))**2*6 - (-5 + sqrt(19) + 2*sqrt(19))) + 5.
-3*sqrt(19) + 124
Simplify -4*((2*sqrt(114))/sqrt(6) - (sqrt(76) - (sqrt(76) + 0))**2).
-8*sqrt(19)
Simplify -2 + sqrt(117) + (-2 + sqrt(117) + (sqrt(117) - (-2 + sqrt(117) - sqrt(117))) - sqrt(117))**2.
3*sqrt(13) + 115
Simplify 0 + (sqrt(2057) - (-1 + sqrt(2057)) - sqrt(2057)) + (sqrt(2057) - (3 + sqrt(2057) + 1)).
-11*sqrt(17) - 3
Simplify -1 + sqrt(7) + 1 + -2 + (sqrt(63) + 1)**2.
7*sqrt(7) + 62
Simplify (sqrt(475) - (-3*sqrt(475))**2) + (sqrt(171) + sqrt(171)*2)/sqrt(9).
-4275 + 8*sqrt(19)
Simplify ((-2*sqrt(56)*-1)/(sqrt(800) - sqrt(800)*-2))**2.
7/225
Simplify ((sqrt(65) + sqrt(65) + -4*(-2*sqrt(65) + sqrt(65)) + sqrt(65))/(sqrt(180) + 2*sqrt(180)))**2.
637/324
Simplify (sqrt(18)*1*6)/(sqrt(6)*-1*-2 - sqrt(6)).
6*sqrt(3)
Simplify (sqrt(45)*3 + sqrt(45))/sqrt(9) + (sqrt(120)/sqrt(4))/sqrt(6) + sqrt(5).
6*sqrt(5)
Simplify (sqrt(171) - -6*(sqrt(171) + -2*sqrt(171)))/sqrt(9) + -5.
-5*sqrt(19) - 5
Simplify ((3 + 4*sqrt(1900) - sqrt(1900) - sqrt(1900)) + sqrt(1900))**2.
180*sqrt(19) + 17109
Simplify (3 + (sqrt(50)*1 - sqrt(50)))**2.
9
Simplify -6*(1 + sqrt(3)) + -2 + (sqrt(12)/sqrt(4))**2 - (-3*(sqrt(9)/sqrt(3) - sqrt(3))*-2)**2.
-6*sqrt(3) - 5
Simplify sqrt(1300) + sqrt(1300) + (-1*sqrt(1300))**2 + sqrt(52)*-2.
16*sqrt(13) + 1300
Simplify (sqrt(304) + -3*(sqrt(304) + 2) - (5 + -2*sqrt(304)))**2.
121
Simplify (2 + (sqrt(1573) + sqrt(1573) + -1)**2)*2 + 3.
-88*sqrt(13) + 12593
Simplify ((2 + sqrt(288))*6 - sqrt(288))**2*-6.
-44064 - 8640*sqrt(2)
Simplify ((sqrt(1872) - (-5 + (sqrt(1872) - (sqrt(1872) - (sqrt(1872) + 0) - sqrt(1872))))) + -1)**2.
-96*sqrt(13) + 1888
Simplify (-1*-3*sqrt(363))**2*-2.
-6534
Simplify sqrt(20)/(sqrt(32)/(sqrt(48)/sqrt(6))).
sqrt(5)
Simplify ((2*sqrt(315))/sqrt(5) - sqrt(126)/(sqrt(50) + sqrt(2)))**2.
847/4
Simplify ((1*sqrt(170) - sqrt(170))/sqrt(10) - (sqrt(17) + 1*sqrt(17)*-1))**2*-6.
0
Simplify 1 + (sqrt(192) + (0 + sqrt(192))**2 - (sqrt(3) - sqrt(21)/sqrt(7))*-3).
8*sqrt(3) + 193
Simplify ((sqrt(76) - (sqrt(76) + -1*sqrt(76)))**2 - ((3*sqrt(19))**2 + 1)) + -4.
-100
Simplify -3 + (2*sqrt(2299) - sqrt(2299)).
-3 + 11*sqrt(19)
Simplify 1*((sqrt(931)*-1 - sqrt(931)) + -5)**2.
140*sqrt(19) + 3749
Simplify -3*sqrt(847)*-4 + ((sqrt(847) - (sqrt(847) + 3*sqrt(847)) - sqrt(847)) + 4 - sqrt(847))**2.
-308*sqrt(7) + 21191
Simplify -4*sqrt(57)/sqrt(3) - sqrt(19)*-1*-3.
-7*sqrt(19)
Simplify -2 + 1 + 1*sqrt(1008).
-1 + 12*sqrt(7)
Simplify sqrt(117)/sqrt(36) - sqrt(65)/(sqrt(5) - (sqrt(5) + sqrt(20))).
sqrt(13)
Simplify (-2 + sqrt(200))**2.
-40*sqrt(2) + 204
Simplify 1*((sqrt(11) + 1*sqrt(99))**2 - sqrt(176)*-1).
4*sqrt(11) + 176
Simplify 5*(sqrt(21)/sqrt(3) + -1).
-5 + 5*sqrt(7)
Simplify 3 + 0 + sqrt(1088).
3 + 8*sqrt(17)
Simplify (-5*sqrt(104)*2)/((sqrt(800)*2 - sqrt(800)) + sqrt(800) + sqrt(800)).
-sqrt(13)/3
Simplify 1 + 2*sqrt(208) + -1 + -2.
-2 + 8*sqrt(13)
Simplify ((sqrt(275) + (sqrt(275) - ((sqrt(275) + sqrt(275) + sqrt(275)*1 - sqrt(275) - sqrt(275)) + -3)))*-4)**2.
480*sqrt(11) + 4544
Simplify sqrt(33)/(sqrt(18)/sqrt(6)) - (-2*sqrt(176) - sqrt(176))**2.
-1584 + sqrt(11)
Simplify (-4*sqrt(220))/sqrt(11).
-8*sqrt(5)
Simplify (5 + sqrt(500) + 2 + sqrt(500))*3.
21 + 60*sqrt(5)
Simplify (sqrt(75) + -1)**2 - sqrt(3)*-1*-6.
-16*sqrt(3) + 76
Simplify -5*(sqrt(3) - (sqrt(3) + sqrt(18)/sqrt(6))**2)*-5.
-300 + 25*sqrt(3)
Simplify (sqrt(931) + -1 + sqrt(931))**2*-4.
-14900 + 112*sqrt(19)
Simplify (sqrt(60)/sqrt(4)*-1)/(sqrt(3) + (sqrt(3) - (sqrt(6)/sqrt(2) + sqrt(3)))*4).
sqrt(5)/3
Simplify (sqrt(27) - sqrt(3)) + -3 + sqrt(30)/(sqrt(50)/sqrt(5)).
-3 + 3*sqrt(3)
Simplify -1*(sqrt(176) + -2).
-4*sqrt(11) + 2
Simplify (0 + sqrt(162) + -2 + -3)**2.
-90*sqrt(2) + 187
Simplify sqrt(4)/(-3*sqrt(6)/sqrt(3)).
-sqrt(2)/3
Simplify sqrt(56)/(sqrt(800)*1).
sqrt(7)/10
Simplify (-4 + -6*(sqrt(300) + 1) + sqrt(300))**2.
1000*sqrt(3) + 7600
Simplify (-2*(sqrt(85) + -1*sqrt(85) - sqrt(85)))/(sqrt(10)/(1*sqrt(2))).
2*sqrt(17)
Simplify (3*sqrt(625) + sqrt(25))/(sqrt(5) + 3*sqrt(605) + sqrt(605)).
16*sqrt(5)/45
Simplify sqrt(10)/(sqrt(5) + sqrt(40)/(sqrt(16)/sqrt(2)))*5.
5*sqrt(2)/2
Simplify (-1*(sqrt(3) - sqrt(192)*2))**2.
675
Simplify 1 + (sqrt(110)/(sqrt(30)/sqrt(3)))**2*-2.
-21
Simplify (sqrt(38) + -3*sqrt(342))/sqrt(2).
-8*sqrt(19)
Simplify ((sqrt(162) + 1*sqrt(162) + sqrt(162) - sqrt(162) - sqrt(162))/sqrt(9))/(-2*sqrt(225))*2.
-sqrt(2)/5
Simplify (sqrt(19) + sqrt(57)/sqrt(3)*4 - (sqrt(133)*2)/sqrt(7))*-1.
-3*sqrt(19)
Simplify (sqrt(28) + sqrt(140)/sqrt(5))*6.
24*sqrt(7)
Simplify -5*-4*(sqrt(99) + 1).
20 + 60*sqrt(11)
Simplify 4*(sqrt(11) - (sqrt(396) + 1 + sqrt(396))).
-44*sqrt(11) - 4
Simplify (2*sqrt(68) + (-2 + -2*sqrt(17) - sqrt(17)))**2.
-4*sqrt(17) + 21
Simplify (-2*sqrt(52)/(sqrt(100)*-6))**2.
13/225
Simplify (-2 + (sqrt(425) - (sqrt(425) - (sqrt(425) + -1) - sqrt(425))) + -4*(sqrt(425)*1 + sqrt(425)))**2.
180*sqrt(17) + 15309
Simplify sqrt(2448) + -1 + 3.
2 + 12*sqrt(17)
Simplify 5*(sqrt(8) + -4).
-20 + 10*sqrt(2)
Simplify sqrt(65)/((sqrt(5) - sqrt(80))*6)*-5.
5*sqrt(13)/18
Simplify -3 + -5 + -5 + sqrt(21)/sqrt(3).
-13 + sqrt(7)
Simplify (sqrt(5)*4*1*-6 + -4)**2.
192*sqrt(5) + 2896
Simplify (2*sqrt(7)*-1 - sqrt(7))**2*-2 + 5 + 4.
-117
Simplify 6*1*sqrt(567)*5.
270*sqrt(7)
Simplify sqrt(1216) + 0 - sqrt(304)*3.
-4*sqrt(19)
Simplify -3 + 5 + (sqrt(704) - sqrt(704)*-1).
2 + 16*sqrt(11)
Simplify ((-5*-1*sqrt(99))/(sqrt(144)*-2 + sqrt(144)))**2.
275/16
Simplify (2 + 4*sqrt(275))**2.
80*sqrt(11) + 4404
Simplify 2*(3*(-1 + sqrt(80)))**2.
-144*sqrt(5) + 1458
Simplify (sqrt(6)/sqrt(3)*4)**2 + (sqrt(50)*2 - sqrt(2)).
9*sqrt(2) + 32
Simplify (sqrt(405)/(sqrt(9)*2))/((sqrt(108) + sqrt(108) + 2*sqrt(108))/sqrt(12)).
sqrt(5)/8
Simplify (-5 + sqrt(38)/((sqrt(32)/sqrt(4))/sqrt(4)))**2.
-10*sqrt(19) + 44
Simplify (-5*sqrt(320)*1 + (sqrt(320) - (-2 + sqrt(320)*-1)) + sqrt(320))**2.
-64*sqrt(5) + 1284
Simplify -6*(sqrt(1331) + 2 - sqrt(1331)).
-12
Simplify (sqrt(143)/(sqrt(275) - (sqrt(275)*2 + sqrt(275) + sqrt(275)))*6)**2.
52/25
Simplify (-2*sqrt(165)/sqrt(5))/sqrt(11).
-2*sqrt(3)
Simplify 0 + ((sqrt(17) - ((sqrt(204) - (sqrt(204) + sqrt(204)*1 + sqrt(204))) + sqrt(204))/sqrt(12)) + -4 + sqrt(17) + 0)**2.
-24*sqrt(17) + 169
Simplify ((-3*sqrt(180) - sqrt(180))/sqrt(10))/(sqrt(42)/(sqrt(7)*1)).
-4*sqrt(3)
Simplify 5*sqrt(1700) - (sqrt(17) - (sqrt(187) + sqrt(187)*-4 + sqrt(187))/sqrt(11))**2.
-153 + 50*sqrt(17)
Simplify ((sqrt(120)*3)/sqrt(5))/((sqrt(120)/sqrt(2))/sqrt(5)).
3*sqrt(2)
Simplify -2*((-1 + sqrt(567) - sqrt(567)) + (sqrt(21)/sqrt(3))**2 + -3).
-6
Simplify ((2 + sqrt(720) + -4 - sqrt(720)) + -2)**2.
16
Simplify (sqrt(42)/(sqrt(6)/sqrt(3)))/(-2*sqrt(12)/sqrt(4)).
-sqrt(7)/2
Simplify ((sqrt(484)*-3)/sqrt(11))/sqrt(4) + -2.
-3*sqrt(11) - 2
Simplify (sqrt(20) - (3*sqrt(200))/sqrt(10))/(-4*sqrt(12)/sqrt(3)).
sqrt(5)/2
Simplify ((sqrt(304) + 0 + sqrt(304))**2 + -2 + 2 + sqrt(19) + sqrt(19))*2.
4*sqrt(19) + 2432
Simplify 5*(5 + sqrt(2) + 0)**2 + 4.
50*sqrt(2) + 139
Simplify (-2*sqrt(13) + 3)**2*2.
-24*sqrt(13) + 122
Simplify 3 + sqrt(99)/(sqrt(9) + sqrt(36)/sqrt(4)).
sqrt(11)/2 + 3
Simplify (sqrt(600) - (sqrt(600) - sqrt(600)*-2))/((-2*sqrt(132))/sqrt(11)).
5*sqrt(2)
Simplify -6*(sqrt(102)/sqrt(6))**2 + -3.
-105
Simpl | {
"pile_set_name": "DM Mathematics"
} |
y = 5.8 + -30.8. Let h = 25.1 + y. Which is the nearest to 6? (a) -3 (b) -0.3 (c) h
c
Let n = 0.28 + 0.02. Let u = -82/5 - -169/10. What is the nearest to u in 2/13, 2/3, n?
2/3
Suppose -8*h = -111 - 33. What is the closest to h in -3, -5, 0.4?
0.4
Suppose -5*w = -3*q - 2, 4*w = -q - 51 + 39. What is the nearest to w in 0.2, -0.1, 85?
-0.1
Let t = -4.68 + -0.32. Let d = -100 - -97. What is the nearest to 0 in t, 2, d?
2
Let r be 88/1100*(-1 - -2)*5. Which is the closest to 0.1? (a) 1 (b) 3 (c) r (d) 9
c
Let n be (-23)/46*3/3. Let t = -15 + 14. Which is the closest to n? (a) t (b) 0.5 (c) -0.1
c
Let z = 102 + -117. Let v = -0.064 - 14.536. Let j = v - z. Which is the closest to 0.2? (a) -5/4 (b) j (c) -0.1
b
Let g = 11 + -10.9. Let m = 0.2 - 0.01. Let t = m - -0.11. What is the closest to g in -1/4, t, 5?
t
Let v(u) = 5*u**2 - 55*u - 3. Let h be v(11). Which is the closest to -2/3? (a) -2 (b) h (c) 4 (d) 5
a
Let p be 3/(-8) + (-3)/(-8). Which is the closest to 4? (a) -3 (b) p (c) 0.09
c
Let u = 5.0435 - 0.0435. Which is the closest to u? (a) -0.5 (b) -5/4 (c) -2/7
c
Let s = 4.545 + 0.455. Which is the closest to -0.1? (a) s (b) -4 (c) -2/3
c
Let w = 0.7 + 3.3. Which is the closest to 0.1? (a) 1/4 (b) w (c) -1
a
Let u be 24/7 + (22/14 - 2). Suppose 5*g + 5*k = 4*k + 9, 0 = -u*g - 5*k + 1. Which is the closest to 0.3? (a) 2/11 (b) g (c) 0.1
a
Let h be (-3)/(6/(-12) + 2). What is the nearest to -5 in -0.4, h, 2?
h
Let y = -250.9 - -251. What is the nearest to y in 0, -0.1, 1.1?
0
Let r = 0.5 + 4.5. Let m = 17.7 - 18. Let o = m + -0.1. Which is the closest to 1? (a) r (b) o (c) -0.3
c
Let j be (-4 + (-1820)/(-355))*(-2)/(-9). Let q = j - 2/71. Let d = 3/34 - -24/17. Which is the closest to 2? (a) d (b) q (c) -4
a
Let l be (-2)/(-4)*2 - 1. Let w be (873/48)/((-72)/(-32)). Let h = w - 25/3. What is the closest to l in 1/3, h, -0.2?
-0.2
Let t be 43 - (1 + -2 + -2 + 3). Let n = 42 - t. Which is the closest to n? (a) 0.5 (b) -5 (c) 0.3
c
Let i = 2088 - 2088.05. Which is the closest to -2/9? (a) i (b) 2 (c) 4/3 (d) -2/9
d
Suppose -59*s + 150 = -145. What is the nearest to 2 in s, 4, -0.13, 1?
1
Let k = -79728 - -638759/8. Let p(j) = -2*j**3 + 6*j**2 - j - 12. Let g be p(5). Let y = g + k. Which is the nearest to 0? (a) y (b) 3 (c) 0.4
a
Let x = -26 - -28. Suppose 2*o + 3*m = -3, o - x*o + 5*m = 8. Which is the nearest to 0.1? (a) o (b) -1/6 (c) -0.2
b
Let o = 0.1 + 0. Let x = 3/4 + -7/20. Let u = -1.52 + 4.52. Which is the nearest to o? (a) x (b) u (c) 2
a
Let z(l) = l + 1. Let u be z(0). Let y = -1.539 - -1.339. Which is the nearest to u? (a) y (b) 0.03 (c) 3/7
c
Let l be (108/(-42) - -2)*(-14)/12. Which is the nearest to l? (a) -18 (b) -2/5 (c) -5
b
Let v = -611.3 - -670. Let s = -59 + v. Which is the nearest to -4? (a) -2/17 (b) s (c) -1
c
Let l = -4.58 - -6.58. What is the closest to 0.2 in -0.36, l, -1/8, 5?
-1/8
Let d = -1.12 + 1.17. What is the nearest to 1 in d, 0, 0.3?
0.3
Let u = -28.51 + 0.51. Let y = u + 28.5. Which is the closest to 1? (a) 5 (b) 2/9 (c) y
c
Let g = -23 + 24. Let o = -106 - -114. Which is the closest to -1/4? (a) o (b) 3 (c) g
c
Let h = -1.14 - -1.24. Which is the nearest to h? (a) 2 (b) -2/5 (c) 0.2
c
Suppose -1184*n = -1187*n. Which is the closest to 1? (a) -4 (b) n (c) 168
b
Let n = -11.9 - -12. Let a = 56 - 55.7. What is the closest to n in -1, a, 0.36?
a
Let j = 4.94 - -0.06. Let t = j + -7. Let s = -6 + 3. Which is the closest to t? (a) 2/3 (b) s (c) -2/7
b
Let w = -1.5 + 1.49. Let j = w + 38.01. Let t = 32 - j. What is the nearest to t in -0.1, 5, 1/2?
-0.1
Let k = 3.3 + -11.8. Let y = 9 + k. Let g = 0.9 - 1. Which is the closest to g? (a) y (b) -5 (c) 0.3
c
Let g = -165.57 + 167. Let k = g + -0.43. Suppose -3*a = -2*a + 3. What is the closest to -0.1 in k, a, 4?
k
Let r = 1.44 + -4.14. Let h = r - -3.1. Let a be (1 + -1)/(-1 - 1). What is the nearest to a in h, -4, 0?
0
Suppose 4*j = 20, -6 = -2*q - j - 3. Let i be q/(-8) - (-9)/(-72). Which is the nearest to -11? (a) 1/6 (b) i (c) -2
c
Let g be 14/(-3)*108/(-21). Let n be ((-9)/g)/((-1)/(-4)). Which is the nearest to -1/3? (a) 1 (b) n (c) -5
b
Let f = -68 + 67.5. Let g = -396 - -819/2. Let v = g + -129/10. What is the nearest to -1 in 3/2, f, v?
f
Let l = 224 + -182. Which is the nearest to 0? (a) 0.2 (b) l (c) -3
a
Suppose n + 3*n = 284. Let g = 70 - n. Let i = 0.2 - 0.2. What is the closest to 1 in g, -0.2, i?
i
Let m = 1.2 + -1.4. Let v = -44.39 + 44.4. What is the nearest to 0 in -2, m, v?
v
Let k = 23/10 - 9/5. Let n = -1.3 - -1. Let x = n + -0.2. Which is the closest to k? (a) 3 (b) x (c) 0.4
c
Let h = 5/6 - 1/6. Let j = -128 - -128. Which is the nearest to j? (a) -4/7 (b) h (c) 3
a
Let k = -787 + 788. Which is the closest to -2/9? (a) -5 (b) -36 (c) k (d) -1
d
Let i = -0.043 + -2.957. What is the nearest to 2 in -8, 0.4, i?
0.4
Let k = 245 + -234. Which is the closest to -1/4? (a) 1/5 (b) k (c) -4 (d) -0.4
d
Let c be ((3 - 1) + -3)*59. Let m = -4/76447 + -58481903/993811. Let r = m - c. What is the nearest to 0.1 in r, 0.3, 3?
r
Let j = -8 - -9. Suppose 3*y + 4*h + 28 = 0, 3*y - 8*y - 32 = 3*h. Which is the closest to -0.1? (a) 0.4 (b) j (c) y
a
Suppose g - 2*g = 0. Suppose 28 = 5*i - 4*c, -5*i - 3*c + 14 = -g*i. What is the nearest to 3/5 in i, 0.5, 5?
0.5
Let y = 13 + -3. Let x = -2 + y. Let k be 12/x + 3/2. Which is the nearest to -3? (a) 0 (b) -0.3 (c) k
b
Let r = -519 + 522. Which is the closest to 0.3? (a) 4 (b) 0.3 (c) r
b
Let n = 0.3309 - 0.0309. Which is the nearest to n? (a) -1 (b) 2/3 (c) 1
b
Suppose 2*t - f - 5 = 0, 10 - 20 = 4*t + 2*f. Let v = -0.8 + 1. What is the closest to v in 0.5, t, -0.2?
t
Let c = 87.3 - 87.2. What is the nearest to c in -0.5, -6, 0.1?
0.1
Let t = 733 + -728. Which is the nearest to -0.1? (a) 3/7 (b) 0.1 (c) -12 (d) t
b
Let t = -433 - -1731/4. What is the nearest to t in 1, 0, -0.1?
-0.1
Let g = -1 + 0.7. Let n be 4/3 + 6 + (-15)/2. Let x be -2 - (2 + 34/(-9)). Which is the closest to x? (a) -5 (b) n (c) g
b
Let r be ((-1)/2 - 0)*0. What is the closest to -0.2 in r, -26, -2/13?
-2/13
Let f = -186 + 186.5. What is the nearest to 0 in -2/19, f, -4?
-2/19
Let j be (-16)/(-10) - (-6)/15. Let w = -28 - -26. Let z = 55 - 54. Which is the nearest to z? (a) -0.1 (b) j (c) w
b
Let h be 1 + 2/(-2) - 0. Let s = 82/3 - 27. Let t = 45/266 + -1/38. What is the nearest to h in s, 2/3, t?
t
Let g = 461/1092 + 1/156. Let w be (10/3 - -1) + -4. Let j = 0.04 - 4.04. What is the nearest to w in j, g, 0.1?
g
Let h = -98.1 - -98. Let v be (-2)/(-6) + 8/(-12). What is the nearest to 0 in h, v, 36?
h
Let l = 0.8 + -0.3. Suppose -97*x = -174 + 465. Which is the closest to x? (a) -3 (b) l (c) 0
a
Let w(n) = -39*n + 44. Let z be w(1). Which is the closest to -2/5? (a) -0.1 (b) z (c) 0 (d) 25
a
Let h = -1605 - -1627.97. Let q = -23 + h. Let f = q + 0.23. What is the closest to f in 0.2, 4, -5?
0.2
Let o be (-357)/153 - 82/(-30). Which is the closest to 16/5? (a) o (b) 0.3 (c) 0.2
a
Let o = 132.1 + -132.3. Which is the nearest to 2/63? (a) o (b) -2 (c) -2/13
c
Suppose -a = s + 3*a - 112, 2*s + 3*a = 204. Let g be 3 + s/(-52) - (-3)/(-3). What is the closest to g in 2, 5, 4?
2
Let d = 3 + -2. Let j = 700 - 700.1. Which is the nearest to j? (a) 4 (b) -1/21 (c) d
b
Let f = -7.36 - -2.36. What is the nearest to 0 in f, 0.3, 4?
0.3
Suppose 22*k + 44 + 0 = 0. Which is the closest to 0? (a) -5 (b) k (c) 0
c
Let x = -0.323 - -0.373. Which is the nearest to x? (a) 3 (b) -0.5 (c) -2/15
c
Let i = -0.8 - -0.4. Let l = 0.2 + i. Let u = -13792 + 41378/3. What is the closest to u in l, -1/7, -0.3?
-1/7
Let x(i) = -i + 4. Let q be x(5). Let f be (-1 - q)*(2 + -3). Which is the closest to 3? (a) -1 (b) f (c) -2/5
b
Let l be (-6)/(18/4*(-2)/(-6)). Let o be ((-6)/l)/(4/(-2)). Let d be 16/(-9) + (-4)/18. Which is the nearest to 0? (a) d (b) 3 (c) o
c
Let m = -734/77 - -108/11. Let k = 0 - 1. Let g = 11 + -10. What is the closest to g in -5, k, m?
m
Let q(p) = 7*p - 2. Let n be q(-6). Let f be n/(-36) - 3/3. Let z = -134/3 - -45. What is the closest to 0.1 in 0.1, f, z?
0.1
Suppose -2*g + 2 = q - 4, -5*q = -20. Supp | {
"pile_set_name": "DM Mathematics"
} |
3/136
Two letters picked without replacement from cpcfpkcppphcfppppp. What is prob of picking 1 f and 1 p?
20/153
Two letters picked without replacement from nqnffdo. Give prob of picking 1 n and 1 d.
2/21
Three letters picked without replacement from uppuwppuuuuwwppuup. Give prob of picking 1 p and 2 u.
49/204
What is prob of picking 2 h and 2 i when four letters picked without replacement from ihihihi?
18/35
Four letters picked without replacement from ksbgtgbbgtbb. Give prob of picking 2 t and 2 g.
1/165
Three letters picked without replacement from {t: 1, x: 2, g: 4, l: 1, w: 3}. Give prob of picking 2 g and 1 t.
2/55
What is prob of picking 4 x when four letters picked without replacement from {x: 8, z: 2}?
1/3
Four letters picked without replacement from ffeeeeqehqweqe. What is prob of picking 1 h, 1 e, and 2 f?
1/143
Calculate prob of picking 1 j, 1 i, and 2 b when four letters picked without replacement from jrpqirbb.
1/70
Two letters picked without replacement from {c: 2, w: 4, b: 3, l: 2, q: 2, r: 1}. Give prob of picking 1 c and 1 w.
8/91
Three letters picked without replacement from {j: 2, d: 6, t: 1, s: 1, y: 1, r: 5}. What is prob of picking 2 j and 1 d?
3/280
Calculate prob of picking 4 r when four letters picked without replacement from {r: 5, q: 5, x: 1}.
1/66
Three letters picked without replacement from tunubupnupuup. What is prob of picking 1 b and 2 p?
3/286
Two letters picked without replacement from {q: 7, r: 2, i: 6}. What is prob of picking 2 q?
1/5
Calculate prob of picking 1 t, 1 r, and 1 h when three letters picked without replacement from {a: 2, i: 1, t: 5, r: 2, h: 2, b: 1}.
10/143
Calculate prob of picking 2 r when two letters picked without replacement from {z: 1, d: 1, e: 9, n: 1, r: 2, a: 1}.
1/105
Four letters picked without replacement from vxvnnxxnmx. Give prob of picking 1 v, 2 n, and 1 x.
4/35
What is prob of picking 4 z when four letters picked without replacement from {z: 11, o: 1}?
2/3
Calculate prob of picking 2 c and 1 y when three letters picked without replacement from {y: 4, c: 7}.
28/55
Calculate prob of picking 2 t when two letters picked without replacement from {t: 3, x: 7}.
1/15
Four letters picked without replacement from {x: 3, u: 2}. Give prob of picking 2 u and 2 x.
3/5
Three letters picked without replacement from vvvvnvnvnnvnvvnnvvv. What is prob of picking 1 v and 2 n?
84/323
What is prob of picking 2 y when two letters picked without replacement from {y: 6, l: 7}?
5/26
What is prob of picking 2 f when two letters picked without replacement from ffrf?
1/2
What is prob of picking 1 d and 1 i when two letters picked without replacement from {d: 8, y: 7, i: 5}?
4/19
What is prob of picking 3 f when three letters picked without replacement from {f: 4, b: 2, r: 2, k: 5}?
2/143
Calculate prob of picking 1 y and 3 e when four letters picked without replacement from yyeeyyyyyyyyeyyyey.
14/765
What is prob of picking 1 h, 1 t, and 1 k when three letters picked without replacement from {t: 1, x: 1, h: 2, q: 2, k: 4}?
1/15
Three letters picked without replacement from {w: 4, t: 3, r: 2, j: 2, q: 2}. What is prob of picking 1 r and 2 w?
6/143
Three letters picked without replacement from {o: 2, n: 6}. What is prob of picking 2 o and 1 n?
3/28
Two letters picked without replacement from {n: 3, a: 1, x: 5, b: 1, k: 2}. Give prob of picking 2 x.
5/33
Two letters picked without replacement from {p: 3, s: 2, h: 4, c: 6}. Give prob of picking 2 s.
1/105
Calculate prob of picking 2 j and 1 r when three letters picked without replacement from vjrninnjnnnini.
1/364
Three letters picked without replacement from {d: 1, k: 1, n: 1, c: 5, g: 6, y: 2}. What is prob of picking 1 n, 1 c, and 1 d?
1/112
Two letters picked without replacement from rqnrzod. What is prob of picking 1 d and 1 o?
1/21
Two letters picked without replacement from {c: 4, e: 2, q: 2, x: 2, z: 3, n: 2}. What is prob of picking 1 x and 1 q?
4/105
Calculate prob of picking 1 d and 2 v when three letters picked without replacement from dcvv.
1/4
Calculate prob of picking 1 d and 1 o when two letters picked without replacement from tdttdttqttzqdoqtdzd.
5/171
Calculate prob of picking 2 z when two letters picked without replacement from {z: 5, d: 4, l: 8}.
5/68
Two letters picked without replacement from {z: 1, d: 2, v: 6, n: 3, g: 2}. Give prob of picking 1 n and 1 d.
6/91
Two letters picked without replacement from {l: 6, u: 3, o: 1, q: 2, m: 1}. What is prob of picking 1 l and 1 u?
3/13
Calculate prob of picking 2 y, 1 v, and 1 x when four letters picked without replacement from {v: 2, x: 1, h: 1, y: 2}.
2/15
Two letters picked without replacement from {c: 2, d: 3, v: 1, u: 1, h: 4}. Give prob of picking 1 u and 1 c.
2/55
Calculate prob of picking 2 z when two letters picked without replacement from zzuzuuuuuuu.
3/55
Calculate prob of picking 1 u and 1 f when two letters picked without replacement from fuff.
1/2
Three letters picked without replacement from mzxzmmwmkwmzkwmmaazz. What is prob of picking 1 m and 2 z?
7/114
Two letters picked without replacement from {w: 8, y: 1, u: 1, s: 2, k: 2, z: 1}. What is prob of picking 1 s and 1 y?
2/105
Four letters picked without replacement from wrbwrbbwb. What is prob of picking 2 b and 2 r?
1/21
What is prob of picking 1 b and 1 r when two letters picked without replacement from {u: 1, g: 2, r: 1, o: 2, b: 1}?
1/21
Four letters picked without replacement from yydqqyqyyidy. Give prob of picking 1 d and 3 q.
2/495
Two letters picked without replacement from {i: 1, g: 5, t: 3, v: 5, a: 2, l: 4}. What is prob of picking 1 i and 1 l?
2/95
What is prob of picking 1 y and 1 f when two letters picked without replacement from yycycycmmcymyfc?
2/35
Three letters picked without replacement from assgslaglgwaasagw. Give prob of picking 1 g, 1 a, and 1 s.
2/17
Three letters picked without replacement from ywikwifiuyfi. What is prob of picking 1 w, 1 k, and 1 f?
1/55
Calculate prob of picking 1 s and 2 q when three letters picked without replacement from sssqqsqfssqsss.
27/182
Three letters picked without replacement from {x: 4, w: 2, q: 5, f: 2, n: 4}. What is prob of picking 3 n?
1/170
Four letters picked without replacement from {j: 5, b: 8}. Give prob of picking 2 b and 2 j.
56/143
Two letters picked without replacement from jjqgjgij. What is prob of picking 2 g?
1/28
Four letters picked without replacement from {u: 2, s: 2, a: 2}. What is prob of picking 2 u, 1 s, and 1 a?
4/15
Two letters picked without replacement from {b: 3, k: 1, g: 1, u: 1, x: 1}. What is prob of picking 1 u and 1 x?
1/21
Four letters picked without replacement from ffasfffaas. Give prob of picking 1 s and 3 a.
1/105
Two letters picked without replacement from {y: 2, x: 2, z: 1, j: 2, l: 1}. Give prob of picking 1 l and 1 x.
1/14
Four letters picked without replacement from {v: 7, o: 1}. Give prob of picking 4 v.
1/2
Two letters picked without replacement from gqmmbbqbqqbqqqq. Give prob of picking 1 m and 1 q.
16/105
What is prob of picking 2 f when two letters picked without replacement from ffhfhfffffhffffhfhff?
21/38
Four letters picked without replacement from {l: 6, e: 2, r: 2, a: 3}. What is prob of picking 1 e, 2 l, and 1 r?
12/143
Calculate prob of picking 1 x and 3 r when four letters picked without replacement from rrxxrrvvrv.
2/21
What is prob of picking 1 d, 1 o, and 1 y when three letters picked without replacement from {o: 1, y: 3, p: 7, g: 2, d: 5}?
5/272
Four letters picked without replacement from {x: 4, y: 3, o: 5}. What is prob of picking 2 o and 2 y?
2/33
Three letters picked without replacement from sqpsqqqsqpsqsqq. What is prob of picking 1 p and 2 q?
8/65
Calculate prob of picking 2 g, 1 j, and 1 s when four letters picked without replacement from jsgsga.
2/15
Calculate prob of picking 4 a when four letters picked without replacement from {t: 3, a: 2}.
0
Two letters picked without replacement from twwwlwtwwwwdw. Give prob of picking 1 l and 1 t.
1/39
Two letters picked without replacement from {t: 10, c: 3, m: 2, j: 1}. What is prob of picking 1 m and 1 j?
1/60
Two letters picked without replacement from jjc. What is prob of picking 2 j?
1/3
Two letters picked without replacement from {w: 1, b: 4, a: 2, g: 1 | {
"pile_set_name": "DM Mathematics"
} |
in decreasing order.
16, -1/6, q, -3
Suppose -4 = -2*h + 2*y - 3*y, 0 = 5*h - 3*y - 32. Suppose -t - 15 = -5*c, t - h*c = -12 + 1. Let v = 0 + -4. Put t, v, 2 in ascending order.
v, 2, t
Let y = 2 - 1. Let z be y/(-1*2 + -3). Let c = -0.5 + 3.5. Put -0.3, z, c in increasing order.
-0.3, z, c
Suppose -3*p = -2*h + 23, -2*h - 4*p = -0*p + 12. Put -3, 6, 0, h in decreasing order.
6, h, 0, -3
Suppose -d = -4*t + 6*t + 7, 5*t + 20 = -5*d. Sort t, -5, 1 in increasing order.
-5, t, 1
Let h = -119762/45 - -2661. Let d = 2/45 + h. Sort 0, 0.5, d.
d, 0, 0.5
Let i(c) = -5*c**2 + 2*c - 1. Let w be i(1). Suppose -4 - 1 = d. Sort d, w, -0.3.
d, w, -0.3
Let c = -65 - -70. Sort 1, 4, c in decreasing order.
c, 4, 1
Suppose 0 = 3*w + 2 - 14. Suppose -15 - 9 = -3*s. Let t = s - 5. Sort t, -3, w.
-3, t, w
Let a = -3 - -5. Let s be (6/(-12))/((-1)/10). Sort -1, a, s.
-1, a, s
Let q be 0*(1 + -2) + (-18)/9. Sort -14, q, 5 in descending order.
5, q, -14
Suppose 0 = 5*h - 7*u + 9*u + 1, 2*u + 6 = 0. Put h, -4, -21, 0 in descending order.
h, 0, -4, -21
Suppose 4*r - 6*r = -10. Suppose 3*i + r + 1 = 0. Let j(m) = 4*m + 3. Let b be j(-2). Sort -4, b, i in increasing order.
b, -4, i
Let a be 2/7 - 16/(-42). Let f(w) = -w**3 + 7*w**2 + 8*w - 3. Let b be f(9). Let y be 3 - 1*b/(-27). Put a, 5, y in decreasing order.
5, a, y
Suppose 4*f + 4*x = -16, 0 = f + 5*x - 9*x - 6. Suppose 5*k + 15 = 4*z, 4*k + 8 = -z + 17. Suppose -30 = -5*o + 3*p, p - 3 = -o - z. Sort f, o, 2/5.
f, 2/5, o
Let p(j) = -j**2 - 6*j - 5. Let g be p(-4). Let r = 9 - 8.95. Let k = r - -0.55. Put k, -2/11, g in descending order.
g, k, -2/11
Let i = -17 + 12. Sort 0, i, -0.3 in descending order.
0, -0.3, i
Let u = 1.1 + -0.8. Put 1, 0, u in decreasing order.
1, u, 0
Suppose -23*h - 4*m - 4 = -25*h, m + 1 = -3*h. Suppose -b + 2*w + 3*w + 9 = 0, -5*w - 15 = 5*b. Suppose 3*p + 10 = 1. Put h, b, p in ascending order.
p, b, h
Let d = -4 + 8. Sort d, -1, 1 in decreasing order.
d, 1, -1
Let j = 0.1 + 0. Put j, -5, 0 in increasing order.
-5, 0, j
Let u = 10.24 + 0.76. Sort 0, -1, -1/3, u in decreasing order.
u, 0, -1/3, -1
Let q be (1 - 0)*2/(-2). Let v(i) = -5*i + 1. Let y be v(1). Let z be (-3)/(-9) + (-42)/(-9). Sort q, y, z.
y, q, z
Let y(o) = -2*o + 4. Let d be y(4). Let v be 1/(0 - (-2)/4). Put -1, v, d in increasing order.
d, -1, v
Let d = 10 + -9. Let m(s) = -s**2 + 8*s - 8. Let a be m(7). Let c(l) = -l**3 + 4*l**2 + 5*l + 3. Let v be c(5). Put d, a, v in descending order.
v, d, a
Suppose -13 - 6 = 2*g + 5*q, -4*g = 2*q - 2. Sort g, -2, -5 in ascending order.
-5, -2, g
Let p be -3 + (-10)/(-2) - -4. Sort 4, 3, p.
3, 4, p
Let w = 7 + -11. Put -1/6, w, -2 in ascending order.
w, -2, -1/6
Let r be 7/((-42)/(-48)) + -3. Sort 0.1, r, -1 in descending order.
r, 0.1, -1
Suppose 2*s + s = -6. Let b(y) = 2*y**2 + 3*y. Let p be b(s). Sort 0.04, p, -2 in decreasing order.
p, 0.04, -2
Let c = 7.513 - -0.087. Let j = -8 + c. Put j, 0.3, 0.1 in increasing order.
j, 0.1, 0.3
Let t = -4 + 4.05. Let x = -2.95 - t. Sort 4/5, x, -2/5.
x, -2/5, 4/5
Let s(n) = -n - 2. Let x be s(-3). Suppose -5*u - 3*a = -u - 26, 5*u - 3*a - 19 = 0. Suppose -80*k = -78*k + 10. Sort u, x, k in ascending order.
k, x, u
Let w = 0.4 + -0.9. Sort 0.5, 8, w in decreasing order.
8, 0.5, w
Let s = -3 + 2. Let b = -0.7 - s. Let n = 2.4 + -0.4. Sort b, n, 1 in decreasing order.
n, 1, b
Let m = 1.62 - 1.42. Let i = 3 + -2.4. Let p = i - m. Put p, -5, -2/9 in descending order.
p, -2/9, -5
Let v = -8 - -5. Suppose 0*m - m + 18 = 5*h, -6 = 3*m. Let z(p) = -p**2 + 2*p. Let c be z(2). Put c, v, h in ascending order.
v, c, h
Let k = -72 - -76. Sort k, -0.4, -0.1, -4 in ascending order.
-4, -0.4, -0.1, k
Let l be -2 - 8/3*9/(-6). Sort l, -1, 5, -3 in decreasing order.
5, l, -1, -3
Suppose 3*t - 2 = t. Let k be 5 - (4 + -1 + -7). Put k, t, 4 in decreasing order.
k, 4, t
Let i = -10 + 9.5. Sort 0.5, i, -0.1 in increasing order.
i, -0.1, 0.5
Suppose 0 = -4*b + b + 21. Suppose -b*t + 6*t = 5. Let j = 2.8 + -3. Sort j, -2, t.
t, -2, j
Let q = 130 - 128. Sort q, 5, 0, 8 in descending order.
8, 5, q, 0
Suppose 4*p + d = -2*d + 11, -2*d + 14 = -4*p. Let t be p + -1*2/(-1). Put 4, t, -4 in ascending order.
-4, t, 4
Let v be (-2)/2 - -2 - 0. Suppose -a = 2*l - 4*a - v, 4*l = -a + 23. Sort l, 2, 0 in decreasing order.
l, 2, 0
Let n(w) = -2*w**3 + 3*w**2 - 3*w + 4. Let a be n(3). Let h be (3/(-6))/((-1)/a). Let l be (h/(-10))/(2/5). Sort 2, l, 3 in descending order.
l, 3, 2
Suppose -28 = 3*i + i. Let a be i/5 - (-10)/25. Sort a, 4, 5 in increasing order.
a, 4, 5
Let q = 100/21 + -16/3. Let n = -161/4 + 40. Let m = -26 - -26. Sort n, q, m in descending order.
m, n, q
Suppose -5*t + 32 = 2*m - t, 25 = 5*t. Let c be m/(-52)*(-8)/6. Let j = 2.6 + -3. Sort c, 0.4, j in descending order.
0.4, c, j
Suppose -4*h + 31 - 11 = 0. Sort h, 4, 2 in descending order.
h, 4, 2
Suppose 4*d + 2*g = 8 + 42, d + 5 = -4*g. Suppose -2*u - d = 3*u. Put u, 1, -5 in descending order.
1, u, -5
Let t = -4 + 23. Let l = t + -17.4. Let v = l + 0.4. Put v, 1/2, 0.2 in increasing order.
0.2, 1/2, v
Suppose 3*j + 2*m - 164 = -j, 5*m + 52 = j. Let h be j/36 - 4/6. Put h, -3/8, -4/5 in increasing order.
-4/5, -3/8, h
Let f = 0.953 - -0.047. Sort -0.1, f, 4.
-0.1, f, 4
Let k = 39 - 118/3. Put -1/8, k, 0.2 in increasing order.
k, -1/8, 0.2
Suppose 0 = -0*i + 2*i + 4. Let q be 2 - (-2 - -1)*i. Suppose -6*k - 5*n = -k + 10, k - 4*n + 7 = 0. Sort -1, k, q in descending order.
q, -1, k
Let n = 18 - 16. Let y be -2*(n + -1)/(-7). Sort 0.1, y, 3 in descending order.
3, y, 0.1
Let x(o) = -5*o - 2. Let j(f) = -6*f - 2. Let h(c) = -6*j(c) + 7*x(c). Let m be h(2). Let q = 29/10 - 299/110. Sort q, 1/8, m in ascending order.
m, 1/8, q
Let l(b) = -b**3 - 3*b**2 - b + 2. Let t be l(-3). Suppose 5*a + 20 = a. Put -4, a, t in decreasing order.
t, -4, a
Let z be (-2)/(-8)*7/(-7). Let h = 0.25 + 0.05. Let x = -5 + 5. Sort z, x, h in descending order.
h, x, z
Let p(f) = -3*f + 5. Let i be p(3). Suppose a - 5*a = -20. Sort -1, a, i.
i, -1, a
Let c(w) be the first derivative of w**4/4 + 2*w**3 + 7*w**2/2 + 3*w - 1. Let g be c(-6). Let u be 2/(-6) + g/(-36). Sort -2, u, 0 in increasing order.
-2, 0, u
Let j be 1/(-4 + 4 + -1). Put 1, j, 2 in descending order.
2, 1, j
Suppose -x - 3*f = -1, -3 + 1 = -2*x - 4*f. Sort x, -4, -1, -2 in descending order.
x, -1, -2, -4
Let q = 0 + 5. Let n = 1 + 1. Suppose -n*y + 5*y = -15. Sort -1, y, q in increasing order.
y, -1, q
Let j = -4/5 + -17/10. Let y = -64 - -66. Put y, j, 0.1 in increasing order.
j, 0.1, y
Let p = -43 + 45. Put 1, p, 1/10, 9 in ascending order.
1/10, 1, p, 9
Let h = -3/46 + 101/138. Let x = 1 + -1.2. Sort -2, h, x.
-2, x, h
Suppose -5*i = 2*u - i, 3*u = 4*i - 10. Let s be ((-3)/(-1))/((-3)/u). Let w = 2 - 7. Sort w, 0, s in decreasing order.
s, 0, w
Let p = 100.2 + -100. Let c = -7 + 4. Sort c, p, -0.2.
c, -0.2, p
Let w(g) = g**3 + 17*g**2 + g + 15. Let n be w(-17). Let z(m) = m**3 + 2*m**2 - m + 3. Let o be z(-3). Sort -5, o, n in increasing order.
-5, o, n
Let y = 123 + -122.6. Sort -3, -0.19, y in ascending order.
-3, -0.19, y
Let o be (6/1)/(6/4). Suppose -5*z = -4*z. Suppose 5*f + z*f - 25 = 0. Put -4, f, o in ascending order.
-4, o, f
Let d = 3 + -2. Let t(q) = 5*q**3 - 2*q - 1. Let l be t(-1). Suppose -a - 3*a = 0. Put a, l, d in decreasing order.
d, a, l
Let v = 115 + -29. Let c be v/(-30) + (-8)/60. Sort -1, 1, c in increasing order.
c, -1, 1
Let t = -56 - -44. Put t, 5, 1, -1 in descending order.
5, 1, -1, t
Let i = 2 + -6. Let w = 0.7 + -1.02. Let t = -0.08 + w. Sort t, 0.1, i in decreasing order.
0.1, t, i
Let w = 165.3 + -165. Sort w, -4/3, -2/7 in descending order.
w, -2/7, -4/3
Suppose 25 - 20 = -w. Put w, 3, -2, -3 in descending order.
3, -2, -3, w
Let i be (-66)/36 + 1/3. Let h = 23 + -22.6. Sort i, 0, h in increasing order.
i, 0, h
Let g = 1/73 - -139/511. Sort 4/9, g, 0 in ascending order.
0, g, 4/9
Let c = 13/20 + -2/5. Let p(x) = x**2 + 6*x - 10. Let t be p(-7). Let a be t + (-3 - (-236)/40). Sort a, c, -3.
-3, a, c
Let z(a) be the third derivative of a**6/120 - 2*a**5/15 + a**4/4 + 4*a**3/3 - 2*a**2. Let u be z(7). Put u, 4/9, -0.5 in ascending order.
-0.5, 4/9, u
Suppose 0 = -4*d - 3*h - 5, -4*d = 4*h + 1 + 3. Let q be d + (-3)/(-1) + -1. Suppose q | {
"pile_set_name": "DM Mathematics"
} |
actor of (-21)/((-21)/u - -2)?
True
Suppose -717 = -3*l + 84. Suppose -3*f - 36 = -l. Is f a multiple of 23?
False
Let r = 42 + 94. Suppose -4*w + 281 = -p, -p + 66 + r = 3*w. Does 21 divide w?
False
Let u(x) be the first derivative of x**4/4 - 2*x**3 - 4*x**2 + 9*x + 1. Suppose 0*b - 2*b = -14. Does 2 divide u(b)?
True
Let i = 0 - -2. Suppose -i*s = 4*y - 24, 3*s - 4*y + 4 = -2*y. Suppose -3*t + 130 = s*t. Is t a multiple of 13?
True
Let u = 11 + 49. Is 3 a factor of u?
True
Let d(u) = -u**3 - 6*u**2 - 2*u + 3. Is d(-6) a multiple of 5?
True
Let t(q) = -q + 270. Does 48 divide t(0)?
False
Let o = 9 + -4. Let w be (-14)/(o/((-5)/2)). Let u = w + -4. Is u a multiple of 3?
True
Suppose 0 = -x + 8*x - 140. Is 13 a factor of x?
False
Suppose 10 = 6*a - 14. Is a even?
True
Let y(r) = -r**3 - 5*r**2 - 3. Let d be y(-5). Let x(p) = -p + 2. Let c be x(0). Is 28 - (c + 6/d) a multiple of 11?
False
Let t = 6 - 5. Suppose 46 = -5*n + 2*b - 6*b, -b = -t. Does 4 divide 2 + 0 + n/(-2)?
False
Let y(h) = h**2 + h - 4. Let l(q) = 4*q**2 + 2*q - 12. Let o(v) = 2*l(v) - 7*y(v). Is 2 a factor of o(3)?
True
Let y be ((-8)/(-4))/((-2)/7). Is y/4*8/(-2) a multiple of 5?
False
Let f(a) = -a**2 - a + 38. Let m be f(0). Suppose 7 - m = -3*z + 2*c, 2*c + 22 = 2*z. Does 9 divide z?
True
Let z be (1 - -1) + 64/(-8). Let b = 38 - z. Does 22 divide b?
True
Let i = -274 - -560. Is i a multiple of 15?
False
Suppose -4*h = -0*h - 64. Does 8 divide h?
True
Let f(m) be the second derivative of m**5/20 + 5*m**4/6 + 5*m**3/3 + m**2/2 - 4*m. Is 20 a factor of f(-8)?
False
Let u(j) = 5*j**2 + 4. Let k be u(-4). Suppose -6*t - k = -2*t. Let r = 65 + t. Is 22 a factor of r?
True
Suppose 18 = 6*v - 4*v. Let b be (-3 - 0) + 0/(-2). Let i = b + v. Is i a multiple of 3?
True
Is 12 a factor of 1204/20 + 4/(-20)?
True
Suppose -324 = -4*l - 2*o, 4*l - o = -0*o + 330. Is 28 a factor of l?
False
Let c = 18 - 10. Suppose -5*z - 68 = -4*x - 3*z, -4*z = c. Is x a multiple of 8?
True
Is 9 a factor of 18*((0 - 2) + 4)?
True
Suppose -26 = -5*j + 3*s, 0*j + 5*j = -s + 18. Suppose -2*i = 4*d - 102, j*i = 5*d - 0*d + 165. Is i a multiple of 27?
False
Suppose v + 16 = -4*w, 3*w - 5*w - 30 = -5*v. Suppose -5*i - v*j + 100 = j, 2*i + 3*j = 42. Does 9 divide i?
True
Let d(v) = 2*v - 12. Is d(16) a multiple of 4?
True
Let d = 101 + -65. Let c = -7 + 99. Suppose 2*z - d = -2*m, -5*z - 2*m + c = m. Is 10 a factor of z?
False
Suppose 1220 = -5*q - 115. Let u = -181 - q. Does 25 divide u?
False
Let i = -54 - -85. Let f be ((-60)/(-16))/(2/(-8)). Let u = f + i. Is 16 a factor of u?
True
Let g(j) = -j**3 + 9*j**2 + 4*j - 4. Let c be 9 + 0*(-4)/(-8). Is g(c) a multiple of 8?
True
Suppose 2*d + 0*d = 52. Is 12 a factor of d?
False
Let l = -222 - -407. Suppose -3*n = -5*f + l, -f - 5*n - 2 = -11. Does 17 divide f?
True
Let t be (3 - -9)*(0 - -11). Let c = t + -85. Does 25 divide c?
False
Suppose 2*r = -2*t + 76, -2*t + 90 - 12 = 4*r. Is 4 a factor of t?
False
Let p = 32 + 344. Suppose 3*r - p = -r. Does 27 divide r?
False
Let t(k) = -3*k**3 + 3*k**2 - 2*k + 1. Let j be t(2). Let g = j + 25. Suppose 0 = -4*i - 4*a + 32, -2*i + g = -0*i - 4*a. Does 2 divide i?
False
Let o(x) = 61*x**2 - 2*x + 1. Let q be o(1). Suppose 0 = 3*p + p + 2*z - q, 0 = 3*p - 5*z - 45. Does 4 divide p?
False
Suppose 0 = 5*n + 30 - 10. Is 13 a factor of n/(-10) + (-128)/(-5)?
True
Let g(u) = 8*u + 4. Let n(o) = 9*o + 5. Let m(d) = 5*g(d) - 4*n(d). Let a be m(-1). Is a/(-6) + 8/6 even?
True
Let p(d) = 5*d + 2. Let k be p(-2). Let s be (k/2)/((-4)/22). Let t = s + -8. Is 14 a factor of t?
True
Suppose 0*c + 10 = -c. Let b = 22 + c. Does 6 divide b?
True
Does 10 divide (14/21)/(-1 + 284/282)?
False
Let v(y) = -y + 1. Let u be v(4). Let g = u + 11. Suppose -3*l - g = -26. Does 6 divide l?
True
Suppose 5*s - 3*s = 658. Does 47 divide s?
True
Suppose 4*t - 14 - 10 = 0. Suppose -3*d + t = 0, -2*b + 3*d = -b - 46. Is 11 a factor of b?
False
Let k(t) be the first derivative of -5*t**3/3 + 7*t**2/2 + 6*t + 2. Let r(y) = -6*y**2 + 6*y + 7. Let w(s) = 5*k(s) - 4*r(s). Is w(8) a multiple of 9?
False
Suppose -6*a = -2*a + 40. Let w be 12*7/2 - 0. Let s = w + a. Is 12 a factor of s?
False
Let k(y) = 4 - 3 - 10 + y. Let v be k(8). Is 2*(6/2 - v) a multiple of 4?
True
Suppose 2*h = -2*d + 2, 3*h - 18 = -0*h + 2*d. Suppose 0 = 7*z - 4*z - 135. Suppose -z = o - h*o. Does 5 divide o?
True
Let u(r) = -2*r + 1. Let t be u(0). Suppose 0 = p - t - 5. Is p a multiple of 6?
True
Let m(i) = 8*i + 8. Let l be m(6). Suppose -g - l = -5*g. Does 7 divide g?
True
Let p(j) = -j**2 + 11. Does 8 divide p(0)?
False
Suppose 7*b = 6*b + 238. Is 14 a factor of b?
True
Let c = 1 + 4. Suppose -4*q + 3*q - 4 = 0, -4*g - q + 12 = 0. Suppose 0 = g*k - 2*w + w - 10, k - c*w = -7. Is 3 a factor of k?
True
Suppose 3*m + 85 = c, 0*m + 5*m - 5 = 0. Does 11 divide c?
True
Suppose -p - 5 = -13. Suppose -3*v = v - p. Suppose -v*z + 26 = 4*i - 6*i, 3*z - 2*i = 36. Is 10 a factor of z?
True
Suppose 30 - 10 = 5*i, -4*i = 3*f - 136. Does 20 divide f?
True
Suppose -4*b - 5 = -21. Suppose -q + 1 = -b. Suppose -2*k + q*l - 73 = -5*k, 5*l = -k + 41. Does 8 divide k?
True
Does 23 divide (-9)/(-12) + 178/8?
True
Let m be 2 - (1 + -1)/(-1). Is 4 + m - (-2 - 0) a multiple of 4?
True
Let d(j) = 1. Let o(i) = 12*i - 4. Let p(y) = 10*d(y) + 2*o(y). Is 13 a factor of p(1)?
True
Suppose -24 = -7*a + 3*a. Let f = a + -1. Is f a multiple of 4?
False
Let y(w) = -w**2 + 8*w + 5. Does 4 divide y(7)?
True
Let l = 18 + -13. Let j(r) = -r**2 + 5*r + 4. Let i be j(l). Suppose -i*h - 4*n = -76, 4*h - 48 = 4*n - 4. Does 12 divide h?
False
Suppose 9 = -4*i + 29. Suppose 5*t + n - 103 = -0*n, 5*n = -i*t + 115. Is t a multiple of 6?
False
Suppose -8*a - 135 = -9*a. Is 45 a factor of a?
True
Let c be -11 - (-3 + -1 + 2). Let m be (3/c)/((-2)/30). Let y(s) = 4*s - 5. Is y(m) a multiple of 4?
False
Does 20 divide 0 + (3 + 0)*22?
False
Let h(o) = o**2 + 2. Let b be h(0). Suppose 111 - 27 = b*p. Does 19 divide p?
False
Let g be (-6)/(-8) + 18/8. Suppose 26 = 4*m - 9*m - 3*a, 0 = 2*m - g*a + 2. Let y = m - -9. Is y a multiple of 3?
False
Suppose 0*g - g = -77. Is 7 a factor of g?
True
Suppose -w = 3*l - 2, -5 = -2*l + w + 3. Suppose l*h + 0*h - q - 19 = 0, -2*q = h - 12. Is h a multiple of 5?
True
Suppose 0 = -4*o + 5 + 3. Suppose 5*d + 31 = -o*u, 3*d + 0*d + 23 = u. Let y = d + 42. Is y a multiple of 13?
False
Suppose z - 15 = -2*z. Let t(o) = -o**3 - 7*o**2 + 6*o + 11. Let a be t(-8). Suppose -3 - a = -z*d. Is d a multiple of 6?
True
Suppose -3*n + 21 = 3*f, -3*n + 7 = n - 3*f. Is (54/n)/(2/4) a multiple of 9?
True
Suppose y + 549 = 5*f, 4*f - 8*f = 2*y - 428. Is f a multiple of 15?
False
Let r be 5 - (-1)/1*-1. Suppose 0 = c + r, -2*h - 4*c = 3*h - 74. Is h a multiple of 9?
True
Suppose -i = -l - 3*l + 281, 0 = 4*l + i - 279. Is l a multiple of 14?
True
Suppose 0 = 5*u + x + 3*x - 141, u - 5 = 5*x. Let h = 41 - u. Does 5 divide h?
False
Let y(g) = -g**2 - 6*g - 4. Let n be y(-5). Let s be n + (10/(-2) - -1). Does 14 divide (0 + s)/((-18)/84)?
True
Let o(a) = a**2. Let g(p) = 2*p - 4. Let m be g(3). Let c be o(m). Suppose -2*k + c*k = 6, l + k = 35. Does 16 divide l?
True
Let a be (-8)/(-3) + (-3)/(-9). Let j(c) = 5*c**2 + 4*c - 4. Let h(x) = -4*x**2 - 4*x + 3. Let l(f) = a*j(f) + 4*h(f). Does 3 divide l(-3)?
True
Suppose -3*r = -0*r + t + 55, 69 = -4*r + 3*t. Let c = -10 - r. Is 15 a factor of (1 - 86/c)*-4?
False
Let t be 2*(2 + -13 + 2). Let y = -10 - t. Suppose 3*h - 2*g = 13, -5*h = 3*g + y - 36. Is 3 a factor of h?
False
Suppose 185 = u + 5*i, u + 4*i = 3*u - 356. Is u a multiple of 45?
True
Suppose -60 = -7*d + 2*d. Let c be d/42 + 19/7. Suppose c*o + 123 = 4*k - 0*k, o = -k + 36. Does 13 divide k?
False
Let a(w) = 3*w**2 + 10*w - 14. Is 35 a factor of a(5)?
False
Let v(m) = -m**3 - 5*m**2 - 2*m - 6. Suppose -7*z - 25 = -2*z. Let s be v(z). Does 3 divide (3 - (0 + s))*-3?
True
Let l(n) be the third derivative of 2/3*n**3 + n**2 - 1/8*n**4 + 0 + 0*n + 1/120*n**6 + 3/20*n**5. Does 12 divide l(-9)?
False
Suppose 0*f + 68 = 4*f. Is f a multiple of 7?
False
Suppose n - 6 = v, 2*n + 2*v = 6*n - 16. Suppose 190 = 3*o + 2*q, 0 = -4*o - 3*q + n*q + 260. Suppose -o - 4 = -5*d. Is d a multiple of 7?
True
Let l(a) = -235*a**2. Le | {
"pile_set_name": "DM Mathematics"
} |
+ 2*p = -0*q - 42 for q.
10
Solve -3*c + 0*z - 12 = -3*z, 0 = 2*c - 5*z + 14 for c.
-2
Solve 2*s - 2*m - 9 + 1 = 0, -5*m + 52 = 3*s for s.
9
Solve 22 = -5*d - 3*y, -2*y - 20 = 3*y for d.
-2
Solve 30 = 5*d - 2*v, 0 = 4*v - 1 + 21 for d.
4
Solve 5*m - 4*n = 15, 0 = -m + 4*n + 14 + 5 for m.
-1
Solve 6 = -3*s, 22*b + 4*s + 5 = 23*b for b.
-3
Solve 0 = k + 3*x + 11 - 2, 0 = -k - 5*x - 15 for k.
0
Solve t - i = 8, 2*i + 9 = 3 for t.
5
Solve 0*p + 5*u + 30 = -5*p, -4*u = -6*p + 4 for p.
-2
Solve 5*h - 5 = -5*o, 5*h + 15 = 5*o - 0*o for h.
-1
Solve 3*a + 7 + 5 = 3*p, 0 = 3*a + p + 4 for a.
-2
Solve -5*c = 4*k - 11, -10 + 1 = -4*c - 3*k for c.
3
Solve 4*s - m - 3*m - 4 = 0, 0 = -2*s + 3*m + 2 for s.
1
Solve -3*k + 10*f - 20 = 6*f, -3*k - 4*f = -20 for k.
0
Solve -19*b = -16*b - 4*l + 6, 3*b - 5*l + 9 = 0 for b.
2
Solve -2*z - 4 = -2*s, 13*z - 23 = -4*s + 12*z for s.
5
Solve -l + 3 = k, 2*k + 17*l - 14*l - 5 = 0 for k.
4
Solve -5*s + 26 = -g, -7*g - 2 = -4*g + 4*s for g.
-6
Solve 4*u + u - f = -14, 3*u - 6 = -3*f for u.
-2
Solve 0 = n + c - 2, -4*n + 3*c = -3*n - 10 for n.
4
Solve 10 = z + 2*z - y, 2*z + 8 = -3*y for z.
2
Solve 0 = 5*z - 2*s - 15, 40*s = -5*z + 35*s - 20 for z.
1
Solve 0 = 217*v - 216*v, -5*g - 4*v - 5 = 0 for g.
-1
Solve 3*m + 5*f - 10 = 0, -6*m = -54*f + 58*f - 26 for m.
5
Solve 2*n - 3 = -5*x, n - 3*x = -0*x + 7 for n.
4
Solve -7*a - 3*h + 0*h = -13, -h = 5 for a.
4
Solve h - 4 = -v, 3*h + 4*v = 2*v + 9 for h.
1
Solve -3*p + 5 = 2*p, -2*b - 4 = 4*p for b.
-4
Solve 57*h - 60*h + 6 = 0, 0 = 4*x + 4*h - 12 for x.
1
Solve 5*m + 28*s = 32*s - 46, s = -2*m - 8 for m.
-6
Solve 3*h + 3*z = -6, 4*h - 2*z - 2*z = -16 for h.
-3
Solve 0 = 3*y + l - 0*l, -2*y - 5*l = 0 for y.
0
Solve 16 = -4*c + 2*x + 2, x = -3*c + 2 for c.
-1
Solve k + 4*k + 10 = 0, -4*r - 30 = 5*k for r.
-5
Solve -d = 0, 1 = g - 0*g + 2*d for g.
1
Solve 0 = -8*f + 10*f, 4*g = 2*f + 8 for g.
2
Solve 0 = -2*g + 10, -6*c + 7*c + 3*g = 16 for c.
1
Solve -n - 5*o + 2 - 1 = 0, 0 = n + 3*o + 1 for n.
-4
Solve -5*v + 2*u + 35 = 0, 5*v + 3*u + 7 = 17 for v.
5
Solve 0 = -j + 8*c - 7*c - 2, 0 = -3*j - 2*c + 19 for j.
3
Solve -3*p - s + 2 = 0, -5*p + 4*s + 4 = 29 for p.
-1
Solve i - 3 = s, 2*s + 0*i = -4*i - 12 for s.
-4
Solve 5*g - 11 = 2*n - 3*n, 4 = 4*n for g.
2
Solve -9 = -3*j - 4*q + q, 2*j - 2*q + 6 = 0 for j.
0
Solve 2*w = -3*b + 27 - 33, -2*w + 4*b + 22 = 0 for w.
3
Solve 4*j - 7 + 17 = -5*l, 2*l = 2*j - 4 for j.
0
Solve -7*p + 8*p = -3*x + 1, -4*p - 4*x = -4 for p.
1
Solve -4 = -4*o - 2*c, 0 = -38*c + 35*c for o.
1
Solve -2*d + 5*y + 8 = 2, -4*y = 8 for d.
-2
Solve 4*s + 4 = 0, -65*s - 13 = 3*m - 67*s for m.
-5
Solve 3*r = -5*x - r - 26, -12 = -4*x + 5*r for x.
-2
Solve 0 = 4*j + 4*i, -4*j - 30 = 10*i - 12*i for j.
-5
Solve 6*l = 2*l + 4, 0 = -v - 2*l + 2 for v.
0
Solve -8*s - 2*i - 16 = -3*s, -3*s + 5*i = 22 for s.
-4
Solve -9*j + 7*j - 16 = -2*n, -3*j = -4*n + 32 for n.
8
Solve 2*p - 4*o + 8 = 0, -3*p + 7*o - 4 = 3*o for p.
4
Solve -4*j + 4*b = -52, -b + 8 - 11 = 0 for j.
10
Solve 5*a - 22 = u, 4*u + 2*a = -0*a for u.
-2
Solve 2*z = -3*t - 5, 5*t + 4*z = -z for t.
-5
Solve 4*b + 24*p + 2 = 21*p, 5*p + 7 = -3*b for b.
1
Solve 0*v + 5*v + 4 = -z, -3*z - v - 12 = 0 for z.
-4
Solve -2*p + 8 = 0, 3*p - 7 - 3 = -t for t.
-2
Solve -5*l - 10 = 0, 4*s + 9*l - 6 = 4*l for s.
4
Solve 2*d = -4*t, 4*d + 2 = -14 for t.
2
Solve a - 10 = 6*a, 2*g = -5*a - 14 for g.
-2
Solve -7 = -4*y - 0*n - n, -2*n - 13 = -y for y.
3
Solve 5*n - h - 22 = 8, -3*n = 3*h for n.
5
Solve 5*v + 10 = h - 6*h, v - 5*h = 16 for v.
1
Solve 3*k - 10 = -4*u - 3, -u + 2*k - 12 = 0 for u.
-2
Solve 4*n = p + 8*n + 3, -3*n = -2*p - 6 for p.
-3
Solve 3*r = 2*c - 2, -r + 3 = -2*c + 5 for c.
1
Solve -3*k = -12, 5*w - 10*w - 5*k = 15 for w.
-7
Solve 0 = -3*l + 2*o + 10, 63*l - 15 = 58*l + 5*o for l.
4
Solve 3 = -y - 2*t, 4*y - 2*t - 15 = -t for y.
3
Solve 0 = o, -2*l - o = -5*l - 9 for l.
-3
Solve 0 = m + 4, 161*r - 159*r - 18 = 4*m for r.
1
Solve -5*b - 5 = 5*a, 0*b - 3*a = -3*b + 15 for b.
2
Solve 0 = -3*q + 15, 4*w + 5*q - 5 = -0*w for w.
-5
Solve 4*f - 20 = 7*f - 4*v, -3*v + 15 = -4*f for f.
0
Solve -2*m - 16 = 5*c, -5*m + 3*c = 11 - 2 for m.
-3
Solve -18*w = 2*d - 20*w + 14, 4*d - 12 = -4*w for d.
-2
Solve j = -3*t - 5, 3*j - 4*t - 20 = j for j.
4
Solve 2*g - 2*d - 6 = 0, 0*g + 4*g + 5*d - 21 = 0 for g.
4
Solve 0 = 3*g + q - 11, 0 = -2*g - 3*q - 0*q + 5 for g.
4
Solve -3*d = k + 11, d + 6*k = 2*k for d.
-4
Solve -4 = 5*g + 4*x, g = 2*x - 5 - 7 for g.
-4
Solve 0 = x + 4*f - 5*f + 1, 0 = -2*x - 2*f + 10 for x.
2
Solve 2*j - 16*q - 7 = -15*q, -5*q - 13 = j for j.
2
Solve -4*s - 8 = 2*m - 2*s, -2*s = 5*m + 5 for m.
1
Solve 5*h + 10 = -5*s, 4*h + 13 = -5*s + 4 for s.
-1
Solve 4*f = -20, 16 = -3*s + 5*s - 4*f for s.
-2
Solve -s - d = -6*d + 4, -3*s - 5*d = -8 for s.
1
Solve 0 = -3*x + 6, x - 9 - 18 = -5*u for u.
5
Solve -2*x + 3 = -3*x, -u + 2*x + 8 = 0 for u.
2
Solve -18 + 5 = p + 5*m, 4*m + 2 = 2*p for p.
-3
Solve -x + 3 = -l, 3*x + 47 - 41 = 0 for l.
-5
Solve n - 12 = -5*b, -b = -2*b + 3 for n.
-3
Solve -587 = -5*d - v - 598, -d + 4*v + 23 = 0 for d.
-1
Solve -2*m + 3 = -p, 46*m = 5*p + 48*m + 27 for p.
-5
Solve 5*r - 15 = 0, -3*t + 0*t - 18 = -3*r for t.
-3
Solve -21*t - 20 = -26*t, 3*t + 18 = -5*q for q.
-6
Solve -62*k + 11 = -60*k + 5*i, -3*k - 2*i = 0 for k.
-2
Solve -3*q - 19 = 2*l, 2*q - l - 8 = 3*q for q.
-3
Solve -67*m - 3*q + 5 = -66*m, 4*q - 16 = m for m.
-4
Solve 2*w = -4*z - 2, -2*w = -z - 0 + 12 for w.
-5
Solve -5*l + 6*l - 4*v - 7 = 0, -l - 3*v = 7 for l.
-1
Solve 4*m + 4*v - 36 = 0, 6*m - 7*m - 3*v = -19 for m.
4
Solve 0 = 3*c - 5*r - 28, -c + 3*r + 16 + 0 = 0 for c.
1
Solve s - 74 = c - 70, 25 = -5*c for s.
-1
Solve 8*s - 20 = 3*s, r - s + 4 = 0 for r.
0
Solve -9*g + 2*y = -16, 7*g = 4*g - y + 7 for g.
2
Solve 0 = -g + 2*c, 3*g - 4*c = 5*g + 16 for g.
-4
Solve 5*r - 4*h = -9, 4*h = -r - r + 2 for r.
-1
Solve 2*w + 70 = 2*m + 74, 5*m - 2*w = 8 for m.
4
Solve -3*o = -m - 8, o - 8 = -4*m + 3*m for o.
4
Solve v + 4*t = -0*v - 4, 4*v - 24 = 4*t for v.
4
Solve 0 = 4*y + n + 14, y + n = -0*n - 5 for y.
-3
Solve -n + 8 = -3*n + 3*q, 4*n + 4*q - 4 = 0 for n.
-1
Solve -18 = 5*o + 4*d, 5*d = -6*o + 7*o - 8 for o.
-2
Solve -5*d + 3*c + 17 = 0, -37*c = -4*d - 40*c - 8 for d.
1
Solve -4*w = 2*k - 26, -5*k + 2*k + 19 = 2*w for k.
3
Solve 5*c + 3*i + 20 = 1, -5*i = -5*c - 35 for c.
-5
Solve x - 6 = f - x, 0 = -4*f + 4*x - 20 for f.
-4
Solve -4*x - 16 = -y, -y - 4*x = 16 - 0 for y.
0
Solve -6*x - 8 = -2*o - 7*x, -1 = 3*o - 5*x for o.
3
Solve 3*h - 5*b = 13, h + 3*b + 19 = -0*b for h.
-4
Solve 9 = -3*p, -221*w - 54 = -216*w + 3*p for w.
-9
Solve 0 = -4*d - 5*p + 15, 5*d + 4*p = -0 + 21 for d.
5
Solve -3*j = -4*d + 17, 5*d + 0*d = 5*j + 20 for j.
1
Solve 2*j - 5*z - 23 = 0, 0 = 2*j - 5*j + z + 2 for j.
-1
Solve -a - 5 = 3*j, 2*a + 4*j = 5*j + 4 for a.
1
Solve -28 = 4*u - 5*s + 2*s, 16 = 4*s for u.
-4
Solve -3*i + 17 = 4*x, -16 = -5*x + 5*i - 7*i for x.
2
Solve k - 5 = -2*q, -3*k - 7*q + 8*q + 1 = 0 for k.
1
Solve 0 = -4*a - 0*a + 5*b + 26, -5*b + 2 = 3*a for a.
4
Solve -6*h - 8 = -2*l - 7*h, 0 = -5*l - 3*h + 22 for l.
2
Solve 10*d - 5*d + 4*f = 5, 5*f + 5 = -4*d for d.
5
Solve f + 12 = -3*n, 16*f = 20*f + 2*n + 18 for f.
-3
Solve 0*k + 5*k + 15 = 0, -k = -5*g - 2 for g.
-1
Solve -2*i + 0 - 2 = b, i - 5*b = -23 for i.
-3
Solve a + 20 = 4*m, 4*a = -3*m + 3*a + 8 for m.
4
Solve 4*t - c = -9, 3*c - 2*c = t for t.
-3
Solve 0 = 3*p - 2*p + 5*h - 5, p - 2*h = -9 for p.
-5
Solve 25 = -5*g + 5*k, g + 11*k + 3 = 10*k for g.
-4
Solve 4*d - 3*a - 51 = -22, -3*d + 12 = a for d.
5
Solve 0 = 10*s - 5*s + 5*i + 25, -2*s + 6 = -2*i for s.
-1
Solve 7*z - 2*z - 17 = -n, 5*n - 4*z = -31 for n.
-3
Solve 0 = 5*m - 5*k - 29 - 11, -5*m + 22 = k for m.
5
Solve 5*s + 31 = 308*r - 305*r, 0 = 5*s - 4*r + 33 for s.
-5
Solve 3*a - 6 = 3*z, -2*z - 8 = -74*a + 71*a for z.
2
Solve 2 = 2*k + 4*z, 12*z - 15*z = -5*k - 21 for k.
-3
Solve 5*b + 10 = 2*z, 0*z - 5*z = 25 for b.
-4
Solve -4*l + 3*j + 5 = 8*j, -4*j - 22 = -2*l for l.
5
Solve -5*h + 4*n + 40 = 0, h - 13 - 11 = 4*n for h.
4
Solve r + 3*q = -4*r + 22, q - 4 = 0 for r.
2
Solve -d + 2*w - 2 = 0, 4*w = -4*d + 7*w - 3 for d.
0
Solve -2*w + b - 5 = 0, -4*w - 368 = 2*b - 378 for w.
0
Solve -t + 6 - 9 = -h, - | {
"pile_set_name": "DM Mathematics"
} |
t is the first derivative of p(d) wrt d?
-580*d**3
Let w(p) = -206*p - 201. Let u(s) = -208*s - 201. Let i(j) = -3*u(j) + 4*w(j). Find the first derivative of i(k) wrt k.
-200
Let w(t) be the first derivative of 51*t**5/5 - 320*t**3/3 + 387. Find the third derivative of w(d) wrt d.
1224*d
Suppose 15 + 15 = 6*z. Find the second derivative of -6*t**2 - 6*t**5 + 6*t**2 + 52*t + 13*t**z wrt t.
140*t**3
Let r(v) be the first derivative of -v**6/60 - v**3 + 7*v**2 + 39. Let a(s) be the second derivative of r(s). Find the first derivative of a(g) wrt g.
-6*g**2
Let l = -753 + 2249. Find the second derivative of 16*j**5 - 1496 - 23*j + l wrt j.
320*j**3
Let s(l) be the third derivative of -73*l**7/105 - 151*l**3/6 - 4*l**2 + 25. Differentiate s(o) wrt o.
-584*o**3
Let a(h) = 61*h**4 + h**3 + 10*h**2 - 2. Let d(z) = z**3 + z**2 - 1. Let k(c) = -a(c) + 2*d(c). What is the third derivative of k(j) wrt j?
-1464*j + 6
Differentiate -241 + 0*a**2 - 173*a**2 + 3*a**2 + 2*a**3 + 63 wrt a.
6*a**2 - 340*a
Suppose -1 = 40*y - 121. Let p(u) be the first derivative of 0*u**2 - 11/3*u**y - u - 10. Differentiate p(z) with respect to z.
-22*z
Let o = -972 - -972. Let r(b) be the first derivative of 1/3*b**3 + o*b**2 + 4 - 7*b. What is the derivative of r(k) wrt k?
2*k
Let p(a) = a**3 - a**2 - 2*a. Let w be p(3). Suppose -3*h + 5*h + 4 = 2*o, 4*o = 2*h + w. Find the third derivative of r**4 - 9*r**h + 21*r**2 + 4*r**4 wrt r.
120*r
Let g(l) = -564*l - 238. Let b(n) = 282*n + 117. Let o(m) = -5*b(m) - 2*g(m). What is the derivative of o(k) wrt k?
-282
Let u(k) be the third derivative of -35*k**4/24 + 8*k**3/3 + 21*k**2. Differentiate u(l) wrt l.
-35
Let q = 5095/6 - 849. Let j(h) be the second derivative of -q*h**3 + 0*h**2 + 0*h**4 + 0 + 1/30*h**6 + 0*h**5 - 9*h. Find the second derivative of j(d) wrt d.
12*d**2
What is the third derivative of 6*b - 5693*b**3 - 5771*b**3 - 41*b**2 + 11650*b**3 wrt b?
1116
Let f = 708 - 301. Suppose s = 2*u - 5*u + f, u - 125 = -3*s. What is the first derivative of -137*y - 3*y**3 + u*y - 2 wrt y?
-9*y**2
Let z(y) = -2*y**2 + 2*y + 1. Let p(n) = -2*n**2 + 75*n - 27. Let c(h) = -p(h) + 2*z(h). Differentiate c(w) wrt w.
-4*w - 71
Let z = -55 + 60. Let w(v) be the third derivative of 1/24*v**6 + 0*v**4 + 0 - 7*v**2 + 0*v + 0*v**z - 1/2*v**3. Differentiate w(c) with respect to c.
15*c**2
Let u(x) be the first derivative of x**6/24 - x**5/5 - 19*x**2/2 + 20. Let q(d) be the second derivative of u(d). What is the third derivative of q(n) wrt n?
30
Let a be (3/(-2))/((-18)/96). Let i(n) = n - 5. Let c be i(a). Differentiate -3*b**2 + 0 - 2 + c*b**2 - 12*b**4 wrt b.
-48*b**3
Let y(q) be the second derivative of 11*q**5/20 + 10*q**4/3 + 33*q. Find the third derivative of y(x) wrt x.
66
Let h(i) = -31*i + 31. Suppose 3*o - 3 = 2*b, 5*o - o - 2 = 3*b. Let m(g) = 8*g - 8. Let p(w) = b*h(w) + 22*m(w). Find the first derivative of p(j) wrt j.
-10
Let g(h) = h**4 + 2*h**3 + h**2 + h + 1. Let a(p) = 35*p**4 - 12*p**3 - 6*p**2 - 6*p + 386. Let z(s) = a(s) + 6*g(s). What is the derivative of z(n) wrt n?
164*n**3
Let i = 85/12 + -55/12. Let g(f) be the second derivative of 0 + 4/3*f**3 + 7*f + i*f**2. Differentiate g(z) with respect to z.
8
Let d(a) be the third derivative of 443*a**5/30 + 53*a**4/8 + 11*a**2 + 2. What is the second derivative of d(b) wrt b?
1772
Let d(y) = 3*y - 4. Let a be d(2). Suppose -z + 5*z = 4*n + 8, -5*z + 16 = -2*n. What is the third derivative of 2*t**3 + 17*t**a - 14*t**2 + n*t**3 wrt t?
24
Let t(f) = f**2 + 3*f - 1. Let x be -3 + 4/(0 + -4). Let j be t(x). Find the first derivative of 5*h**3 - 3*h**3 + j*h**3 + 1 wrt h.
15*h**2
Let q(r) be the second derivative of 5*r**8/84 - 2*r**4/3 - 3*r**2 - 16*r. Let k(m) be the first derivative of q(m). Find the second derivative of k(p) wrt p.
400*p**3
Let h(m) be the third derivative of 0*m**4 + 11/60*m**5 + 10*m**2 + 2/15*m**6 + 0*m**3 + 0 + 0*m. What is the third derivative of h(p) wrt p?
96
Let o = 2162 - 4315/2. Let n(r) be the first derivative of 11 + 0*r**3 + 3/4*r**4 + 0*r - o*r**2. What is the second derivative of n(g) wrt g?
18*g
Let p(f) = -117*f + 157. Let n(s) = -59*s + 77. Let k(h) = 13*n(h) - 6*p(h). What is the first derivative of k(g) wrt g?
-65
Let v(w) = 3*w**3 - 6*w**2 + 87*w + 4. Let x(p) = -2*p**3 + 5*p**2 - 88*p - 3. Let c(b) = 3*v(b) + 4*x(b). Find the second derivative of c(l) wrt l.
6*l + 4
Find the first derivative of 2*u**2 - 7*u**4 - 26 - 47*u**4 + 93 + 250 wrt u.
-216*u**3 + 4*u
Let j(p) be the second derivative of -1/6*p**7 + 0 + 0*p**5 + 14*p + 7/6*p**3 + 0*p**4 + 0*p**6 + 0*p**2. Find the second derivative of j(f) wrt f.
-140*f**3
Let p be 1 + -3 - (1 + -4). Let b(w) = -p - 2 + 1 + 1. Let y(g) = -2*g + 6. Let u(r) = -2*b(r) - y(r). Find the first derivative of u(x) wrt x.
2
Find the second derivative of -225*z**4 + 170*z - 17*z**3 + 17*z**3 + 59*z**4 wrt z.
-1992*z**2
Let u be (8/(-2))/(-4)*3. Find the second derivative of y - 6*y + 11*y + 9*y**u wrt y.
54*y
Let d(n) be the second derivative of 11*n**8/28 + n**4/4 + 8*n**2 - 28*n. What is the third derivative of d(v) wrt v?
2640*v**3
Let f(k) be the third derivative of 0 - 2/15*k**6 - 1/6*k**4 + 0*k**3 - 9*k**2 + 0*k**5 + 0*k. What is the second derivative of f(g) wrt g?
-96*g
Suppose -4*u = 21 - 53. What is the derivative of 10*n - 13 - 10*n - u*n + 2 wrt n?
-8
Find the first derivative of -39*t + 3 - 16 - 2 - t wrt t.
-40
Suppose 2*v - 4*t + 10 = 0, -3 = 2*v - t - 2. What is the first derivative of v + 5 - 5 - 5*q**2 wrt q?
-10*q
Find the second derivative of -317 + 83*o**2 - 319 + 47*o + 636 wrt o.
166
Let b(u) = u**3 + 2*u**2 - u + 9. Let r be b(-3). Find the third derivative of -3 + r - 32*q**2 + 20*q**2 + 20*q**4 wrt q.
480*q
Find the third derivative of -3*u**3 + 47*u**2 + 41*u**2 - 39*u**4 + 19*u**2 + 42*u**2 - 22*u**2 wrt u.
-936*u - 18
Let v(n) be the first derivative of -n**4/2 + 3*n**3 + n**2 + 34*n + 143. What is the second derivative of v(d) wrt d?
-12*d + 18
Find the second derivative of 112*k + 22*k**2 + 37*k**2 + 91*k**2 - 25*k**2 + 19*k**2 wrt k.
288
Let v be 8 + (-2 - -1)/(2/4). Find the second derivative of g**5 + 38*g + v*g**4 - 14*g - 6*g**4 wrt g.
20*g**3
Let n(z) be the first derivative of -213*z**4/4 - 138*z**3 - 216. Find the third derivative of n(f) wrt f.
-1278
Let a(m) = 2*m**2 + 9*m + 6. Let h be a(-4). Suppose 4*c + c - 20 = h*x, -4*c - x = -3. What is the third derivative of 4*n**5 - 3*n**2 - 3*n**c - n**5 wrt n?
180*n**2
Suppose 0 = -4*w - 253 + 29. Let m be 18/7 + 32/w. Find the third derivative of 5*u**6 - u**6 + 0*u**6 + 2*u**2 + 0*u**m wrt u.
480*u**3
What is the second derivative of j + 4 - 1900*j**2 + 472 - 7 + 1412*j**2 wrt j?
-976
Let f(j) be the second derivative of 13*j**8/28 + j**7/21 + j**4/12 - 10*j**2 - j + 13. What is the third derivative of f(w) wrt w?
3120*w**3 + 120*w**2
Let a(p) = p**3 + 2*p**2 - p. Let g be a(-2). Suppose q + 0 = g. Differentiate -q*x**2 - 6*x**2 + 19 - 16 with respect to x.
-16*x
Let a(c) = 1. Let o(g) = 124*g**5 - 26*g - 13. Let l(t) = 5*a(t) + o(t). What is the second derivative of l(p) wrt p?
2480*p**3
Let o = 3170/1461 + -3/974. Let v(h) be the second derivative of 0 + 5*h + 0*h**2 - 1/6*h**4 + o*h**3. What is the second derivative of v(l) wrt l?
-4
Let y(x) be the first derivative of -25*x**4 - 2*x**3/3 - 4*x**2 + 46*x + 546. Find the second derivative of y(i) wrt i.
-600*i - 4
Differentiate -18*s + 4 - 7*s - 6 - 39 wrt s.
-25
Let l = -16 - -23. Find the second derivative of -9*k**3 - 2*k + 11*k + l*k - 3*k wrt k.
-54*k
Let a(o) be the first derivative of -o**6/30 - 5*o**4/8 + 5*o**2 - 9. Let f(n) be the second derivative of a(n). Find the second derivative of f(z) wrt z.
-24*z
What is the second derivative of 528*m**4 + 38*m**3 - 296*m - 38*m**3 + 3*m**2 - 519*m**4 wrt m?
108*m**2 + 6
Let z(g) be the third derivative of 229*g**4/8 - 129*g**3 + 3*g**2 + 20. Differentiate z(u) wrt u.
687
Let m(u) = 264*u**3 + 4*u**2 - u. Let f(p) = 264*p**3 + 5*p**2 - 2*p. Let s(b) = 5*f(b) - 6*m(b). What is the third derivative of s(k) wrt k?
-1584
Let j = 13 + -13. Let x(l) = -2*l - 2*l + 1 + j + 0. Let s(y) = 3*y. Let g(a) = 3*s(a) + 2*x(a). Differentiate g(p) with respect to p.
1
Let c be ((-5)/(-10))/(2/(-72)). Let z = 19 + c. Find the | {
"pile_set_name": "DM Mathematics"
} |
= m + 3*u, 2*m + u = 0. Suppose -b - v + 15 = 4*v, -b + 2*v = -1. Suppose 7 = b*o - 18. Solve o*z + 10 = -2*l + l, 0 = -m*l - 5*z - 10 for l.
0
Suppose 2*k = 6*k - 32. Let w be 36/k + (-9)/6. Solve -3*m + 3*n + 2*n - 11 = 0, -13 = -w*m - n for m.
3
Let m be (-3 + 0 + 3)/3. Suppose -4*r - 12 + m = 0. Let q(h) = -9*h. Let c be q(r). Solve 5*b + 2*p - c = 0, -4*b - 5*p + 8 = -17 for b.
5
Suppose 15 = 2*l - 5. Suppose -4*t + 6 + l = 0. Solve -w = -3*y - 2*w - 3, 4*y - 5*w = -t for y.
-1
Suppose 0*m = 4*m + 24. Let z = m + 9. Suppose 0 = 2*o + z*o - 85. Solve 2*d + 2*b = 18, 5*d - 2*d + b = o for d.
4
Let p(c) = -c**2 - 5*c - 4. Let d be p(-3). Let a be d/2*(0 - 0). Solve 4 = x, -3*i + 3*x - 6*x + 9 = a for i.
-1
Let h(u) = -4*u. Let w(j) = j + 6. Let n be w(-7). Let d be h(n). Solve -y = 4*v + 22, -3*y - d = -3*v - 13 for v.
-5
Let t be (-64)/(-3) - (-28)/(-21). Solve y + 3*a = 5, 4*y + 5*a = -0*y + t for y.
5
Let c = 0 + 8. Suppose -5*k + 0 = z - 10, 4*k = -2*z + c. Solve 0 = 3*o - 2*n + k, o + n - 2 = -6 for o.
-2
Suppose -6*j = -j + o - 24, 5*j - 4 = 4*o. Suppose 0*a - a + 12 = 0. Solve -5*l + 8 + 3 = j*y, 4*y = -4*l + a for l.
-1
Let s(g) be the second derivative of g**3/6 + 8*g**2 + 6*g. Let w be s(-14). Solve -3*p - 9 = 3*z, 2*z + 0*p - w*p - 2 = 0 for z.
-1
Suppose 21 + 3 = 3*z. Suppose -3*r + 1 = -z. Solve 5*v = r*s + 2*s, -s + 2*v = 3 for s.
3
Let p(k) = 3*k + 38. Let s be p(-11). Solve x = -5, 9 + 16 = f - s*x for f.
0
Let q be (-222)/(-42) + (-4)/14. Solve -t = -5*m + 4, q*m - 3*m = 2 for t.
1
Suppose -14*n + 6*n = -16. Let b = -14 - -34. Solve -n*t + b = -4*m, 0 = -4*m - 3*t - 9 - 1 for m.
-4
Let d be (-2)/2 - (-2 - 2). Suppose -4*o - 8 = -2*y, -30 = 3*y - 4*o - 38. Let g be (-2)/4 - 78/(-4). Solve 0*a - d*l = -2*a + g, y = -a + l + 8 for a.
5
Let k be (2/(-8))/(2/(-24)). Suppose 2*n + 2*i = 6, -k*n = -n - 3*i - 11. Solve -n*a - 16 = -5*y, -3*a - 12 = 2*y - 0*y for a.
-4
Let q(j) = -j**2 - 21*j - 17. Let f be q(-20). Solve -3*m = 2*c + 2*m + f, -4*c - 4*m = 12 for c.
-4
Let p be (-8)/(-2)*(-3)/(-2). Solve -4*a + 4*q + 26 = -p, q = -a - 2 for a.
3
Suppose 2*j - 7 = -1. Suppose -4*n - 18 + 53 = -3*h, -4*n = -h - 25. Solve j*u + 4 = v - 9, -2*v = n*u + 29 for v.
-2
Suppose -5*d - 24 = g - 2*g, 5*g + 5*d + 30 = 0. Let a be (0/(-1))/(2 + g). Solve -17 = -a*j - j + 4*y, 5*j + 11 = -4*y for j.
1
Let z be ((-5)/(-2))/((-3)/(-6)). Let n(y) = y**2 + 6*y + 7. Let c be n(-5). Let p be (0 - 1)/((-1)/c). Solve d - z*s - 8 = 0, -3*d - d + p*s = 4 for d.
-2
Suppose 5*o - 10 = -2*b, -o + 5*b = 4*o - 45. Solve 4*t + 12 = o*c, 2*t = -3*c - 0*c - 11 for c.
-1
Let n(v) = -v**2 - v + 4. Suppose 4*g = -4 + 20, 2*f - 2*g = -8. Let y be n(f). Suppose -2*a + a + y = 0. Solve -h + 1 = -a*c, c - 2*h = -h - 4 for c.
1
Let d = -7 - -9. Solve -d*z - 2*z = 4, k + 3*z - 2 = 0 for k.
5
Suppose -4*q - 2*z = 206, 3*z = -4*q - 2*z - 203. Let c = q + 74. Solve 0 = m + 5*w - c, w - 4 = 3*m + 2*w for m.
-3
Suppose 8 - 6 = m. Solve 5*y + 3*i = 34, -2*y + m*i + 3*i = 5 for y.
5
Suppose -24 = -4*f + 32. Let w be 3/2*(f - 0). Solve 2*q = s - 3*s - 2, 3*s - w = 3*q for s.
3
Let q be 22 + (-6)/(3*4/6). Solve -5*b + q = 3*k, 4*b - 3*b - 3 = -k for k.
-2
Let h = 12 - 19. Let p = 12 + h. Solve 0 = 3*w - p*b - 31, 3*w + b - 3*b = 16 for w.
2
Suppose 0 = 9*x - 6*x + 4*q + 5, 3*x - 5*q - 40 = 0. Solve 0*r = 5*j + 2*r + 10, 8 = -4*j + x*r for j.
-2
Suppose -4 = 2*c - 2, -5*c = 2*i - 19. Suppose -10 = -5*o - 3*z, 3*o + 3*z - 4 - 2 = 0. Solve -o*h + 3*a + i = -5*h, -4*a = 8 for h.
-2
Suppose -w + 0*w + 24 = 0. Solve 5*y + t - 1 = -w, -t + 2 = 0 for y.
-5
Let x(h) = -2*h - 2. Suppose -2*j = -5*v + 2*v - 4, 2*j + 28 = -5*v. Let s be x(v). Suppose s*q - 88 = 2*q. Solve -3*p - 2*g + q = -0*p, -5*p + 5 = -3*g for p.
4
Let g be (-96)/(-30) + (-2)/10. Suppose -15 = -4*d + 13. Let z = d - g. Solve -5*l + a + 0 = -3, 0 = -5*l - z*a - 12 for l.
0
Suppose -9 = -4*k + 7. Let g = -34 + 57. Let u be 13 + 1 - 4/(-2). Solve -b + g = 4*v + 7, k*v = 4*b + u for b.
0
Suppose 2 = y - 3. Suppose 2*z = r + 2 + 2, y*z + 5*r = 40. Suppose 2*l + 12 = 5*l. Solve 0*m + 5*k + l = m, m + 5*k - z = 0 for m.
4
Let d = -55 - -96. Solve -z - 3*z + 5*l - d = 0, -l = -5*z - 25 for z.
-4
Let b = 29 + -29. Solve b = 5*g - 3*r - 14, -r = -g + r + 7 for g.
1
Let p be 1 + (-1 - 2 - -2). Suppose 5*q + 1 - 16 = p. Solve -4*g - 5*v = -23, v = q*g - v for g.
2
Let u(r) = -r**2 + r + 13. Let m = -2 - -2. Let k be u(m). Suppose 0 = -5*t - 3 + k. Solve -4*j + 8*j = -2*c, -5*j - t = 2*c for c.
4
Suppose -4 + 0 = -2*u. Solve -5*y - 5 = 5*q, -5*y - u*q = -3*q - 19 for y.
3
Let c = -4 - -2. Let t be (c/6)/((-2)/18). Let n be 8/t - 4/(-12). Solve 4*d = -n*x - 1, -2 = -2*x - 3*d - 4 for x.
5
Let h = 32 - 7. Solve 2*m + 20 = -4*w, 2*m - 5*w = -2*m + h for m.
0
Let q(t) = 6*t - 16. Let g be q(3). Solve 4*n - u = -15, n + g*u - 9 = -2*u for n.
-3
Suppose 0 = 2*v - 0 - 2. Solve 2*m = 2*u + v - 7, 0 = -m - 5*u - 15 for m.
-5
Suppose 2*m = 37 + 3. Let s(k) = -k**3 + 20*k**2 - 18*k - 17. Let u be s(19). Solve 5*p = -m, u*p + 3 + 6 = l for l.
1
Let g be 3*8/12 + 1. Suppose -g*u - 8 = -5*u. Solve s + 5*d - 12 = 11, 0 = -5*s - u*d + 31 for s.
3
Let w(j) be the second derivative of 1/6*j**4 + 0 + j - 2/3*j**3 + j**2. Let p be w(3). Solve -5*t + 35 = -5*c - 0*t, 0 = -2*t + p for c.
-3
Let h = -84 + 87. Solve 4*z - 5*r = 8*z - 12, -h*z = 5*r - 9 for z.
3
Let a = 13 - 11. Solve -6*q + 3*q + 2 = -u, a*u = 2*q + 4 for q.
2
Suppose -3*c + 7 + 17 = -4*l, -4*c + l = -32. Solve -c = 3*x + 5*q, 2*x + 0*q - 3*q = 1 for x.
-1
Let l be (-2)/5 - 129/15. Let z = l - -13. Solve 0*r + r = -u, -z = -r for u.
-4
Let n be (-2 - (1 - 1)) + 4. Suppose 0 = t - 3*o - 2, n*t - 5 - 7 = -2*o. Solve -t*y + y + 1 = -i, 5*y - 5*i - 5 = 0 for y.
0
Let z = 182 - 176. Solve z = -3*u - 5*t - 9, t = u + 5 for u.
-5
Let u = -4 + 8. Suppose 11 = u*q - 5. Suppose 5*g = h - 12, 2*g - 3*g = -q*h + 10. Solve -25 = -5*x - v, 0*x = h*x - 3*v - 10 for x.
5
Let o(f) = f - 1. Let x be o(4). Suppose x*z + 4 = -4*a, -z + 24 = -3*a + 8. Solve 5*b + 2 = -4*p - 3, -2*p + 2 = z*b for p.
-5
Suppose 3*z + 26 = 2. Let k be (-1 + -3)/z*6. Solve -4*h = 2*v - 8, 4 = k*h - h + 3*v for h.
2
Let w(r) = -r**2 - 8*r. Let i be w(-7). Suppose 0*a + i = a. Solve 3 = d - a*s + 4*s, 9 = 3*d - 3*s for d.
3
Let s = 269 + -157. Suppose -s = u - 5*u. Let x = u - 16. Solve -3*h + 7 + 2 = -4*w, -4*h + x = -3*w for h.
3
Let y be (34/3)/((-36)/(-54)). Let v(g) = -3*g + 1. Let l be v(-1). Solve 0 = -l*p + 5*d - y, 2*d = -2*p - d - 3 for p.
-3
Let d(y) = -y**2 - y + 4. Let s be d(3). Let o = s + 18. Let r be 6/o - 68/(-20). Solve r*i - 4*q = i - 13, 2*i + 2 = q for i.
1
Let c(a) = -a**2 - 4*a + 1. Let l be c(-3). Let b = 8 - l. Solve 2*y + 2*r - 9 = -3, -4*y + 12 = -b*r for y.
3
Let p be 0/1 + 3*2. Let a be (0 - 3)/(p/(-4)). Let d = -198 - -210. Solve -4*t = -q - a*q - d, 12 = -3*q + 5*t for q.
-4
Let o(c) = c - 11. Let x be o(8). Let a(g) = -g**2 - 2*g + 5. Let i be a(x). Solve 0 = -i*r + 6, 2*m - r - 1 = -2*m for m.
1
Let z be ((-96)/(-15))/(((-4)/(-10))/1). Let g(v) = -v + 1. Let s be g(-2). Solve 2*l + 5*n = 14, -2*l = s*l + 3*n - z for l.
2
Let c(b) = -b**2 - 6*b + 7. Let u be c(-6). Let o = 12 - u. Solve 0 = 4*i, o = 5*v - 5*i + 25 for v.
-4
Let p be (-27)/12 - (-1)/4. Let u be 24 - 0*p/(-2). Solve -3*f = 2*f - i - 21, -5*f + u = -4*i for f.
4
Suppose -h - h = 2*j - 14, 3*j = -h + 15. Solve -3*f + 5*p + 24 = 5, -6 = h*p for f.
3
Let y = -48 + 53. Solve 5*d + 15 = u + 3*u, -y*u + d = -3 for u.
0
Let t(w) = -5*w - 5. Let z be t(9). Let p be (z/15)/((-1)/3). Suppose 2*v = 8 + p. Solve v*d + 5 = 4*d, 5*o + d - 4 = 0 for o.
1
Let t be -14 - -12 - (-10)/1. Solve 7 = d + 4*y - t*y, 14 = 5*d + y for d.
3
Suppose 6*r = 3*r + 45. Solve -5*t + 2*k - r = 0, 2*t - 5*t - 5 = -2*k for t.
-5
Let o(y) = y + 3. Let b be o(0). Solve -5*h = -2*j - 6, 0*h - j - b = 3*h for h.
0
Let l(f) = f - 4. Let h be l(5). Let r be (-1)/1 + h - 0. Solve 2*d = 4*g, r*g = 3*d - 5*g + 1 for d.
-2
Suppose -5*o + 15 = -0*o. Suppose -5*d = -0*d - 30. Suppose -12 = 2*b + 4*u, -b - 9 = d*u - o*u. Solve -4*i - q - 23 = 4*q, b = -4*q - 12 for i.
-2
Suppose a - 1 = -0. Let z(j) = 4*j - 1. Let i be z(a). Let v(s) = -5*s**3 - 2*s**2 + 1. Let t be v(-1). Solve -i*m | {
"pile_set_name": "DM Mathematics"
} |
second smallest value? (a) 2 (b) 5 (c) u
a
Let v = 414.7 + -415. What is the second smallest value in -2/15, v, -0.37?
v
Let g(s) = -41*s - 77. Let y be g(-2). Which is the smallest value? (a) y (b) -11 (c) 0
b
Let p = 82 - 1556/19. Which is the biggest value? (a) 0.5 (b) p (c) 1.9
c
Let k = 7718/27 + -286. Let x = 5/27 - k. What is the smallest value in x, -0.4, 0?
-0.4
Let f = 345 + -1036/3. Let n = 1.03 + -1. Which is the biggest value? (a) f (b) -4 (c) n
c
Let u(j) = -j**3 + 8*j**2 + 12*j - 30. Let d be u(9). Let c be 3/6*(d - -1 - -10). What is the second biggest value in -1/2, c, -5/12?
-5/12
Let c = -48/95 - -2/5. What is the third biggest value in c, 3/10, 2?
c
Suppose 3 = -2*a - 7. Let o(f) = 4*f**3 - 2*f**2 - 3*f + 1. Let s be o(-1). Let v be s + (-5)/20 + 3. What is the second biggest value in v, a, -4?
-4
Let g = -1.52 + 1.52. What is the fourth biggest value in g, 5, -0.2, 1?
-0.2
Let y = 1083 - 1082. Let g = -2.5 + 2. Which is the fourth biggest value? (a) -4/5 (b) y (c) -11 (d) g
c
Let k be (-10)/(-4) - 2/4. Suppose 0 = -2*q + 3*g + 147, q - 109 = g - 36. Let d be q/(-28) - 8/(-4). Which is the second biggest value? (a) 3 (b) k (c) d
b
Let x = 1.3 + 2.7. Let w = -37 + 37. What is the second smallest value in -5, w, x?
w
Let n be 0 + 1 - 25/5. Let p = 16 - 15.93. Let m = -0.13 - p. Which is the second biggest value? (a) n (b) m (c) 2
b
Let g = 1061 + -901.2. Let l = g + -160. What is the second smallest value in 0.5, l, 0.63?
0.5
Let u = -1752 + 1709. What is the fourth smallest value in -0.1, -1, u, -1/8?
-0.1
Let x = 6.43 - 5.2. Let j = x - 1.23. Let h be 1/(-5) - 2/(-5). Which is the smallest value? (a) h (b) j (c) 4
b
Let k = 0.22 - 0.02. Let h = 7/2 - 55/14. Which is the third smallest value? (a) h (b) k (c) -1/9
b
Let k be (-455)/52 + (2 - -7). What is the smallest value in k, -1, -2?
-2
Let j = 4 - 17. Let c = -12.9 - j. Let u = -2 - -2.05. What is the third biggest value in -4, c, u?
-4
Let j = -5.026 - -0.026. Let f = -1 + 1.5. Let h = -58 - -58.08. What is the biggest value in f, j, h?
f
Let j = -65 - -32. Let s = j - -35. Which is the third smallest value? (a) -1/3 (b) 0.1 (c) 4/9 (d) s
c
Let h be (-6)/(-4) - 39/(-52) - 1. What is the third biggest value in -1/4, h, -1?
-1
Let g = -0.1 + 0.14. Let h = -0.2458 + 0.0458. What is the biggest value in g, -5, h, -0.1?
g
Suppose 0 = -4*j + 4*x - 12, -5*j = 6*x - x - 15. Let s = 425/4 - 107. What is the second biggest value in s, j, 1?
j
Let v = -66 - -61. What is the third smallest value in v, -636, -3?
-3
Let d be 3/(-2)*(-8)/6. Let z = 364 - 361. Which is the second biggest value? (a) z (b) 2/7 (c) d
c
Let l = 3 - 2. Let o = 0 - l. Let b = 1.9877 + 0.0123. What is the biggest value in -0.5, o, b?
b
Let r = 29 - 25. Suppose -2*v - p + 34 = r, 2*p + 60 = 4*v. Let z be (-6)/8*5/v. Which is the second smallest value? (a) -0.01 (b) z (c) 1/3
a
Let f = -116.5 + 116. What is the biggest value in 0.1, f, 0?
0.1
Let d = 0.2 - -2.8. Let t = -8 - -5.7. Let p = 2.2 + t. Which is the third smallest value? (a) p (b) 0 (c) d
c
Suppose o - 4*o = 9. Let u be ((-6)/(-36))/((-1)/o). Let p = 0.35 - 0.45. Which is the second smallest value? (a) p (b) -0.4 (c) u
a
Let g = -8 - 37. Let n = g - -44.5. Which is the third biggest value? (a) 1/4 (b) n (c) 0.4
b
Let s = 30.3 - 30. Let p = 0.7 + s. Which is the second biggest value? (a) p (b) -1 (c) 5/2
a
Let q = -0.281 - -6.281. What is the second biggest value in q, -0.1, 2/9, 1?
1
Let s be 3003/(-805) - -4 - (-2)/(-5). Which is the biggest value? (a) s (b) -5 (c) 0
c
Let j be (2 + 12/(-8))*12/(-15). Which is the second biggest value? (a) -2/17 (b) j (c) 3.2
a
Let t be -5 + 72/15 + 2/6. What is the smallest value in -1, -2, -20, t?
-20
Let c = -249.02 - -249. What is the third smallest value in 0.2, c, -2?
0.2
Let g = 8 - 30. Let i = -41 - g. Let t = -23 - i. Which is the third biggest value? (a) t (b) -5 (c) 1/5
b
Let m = 2 + -3. Let x = 3 - m. Let j(z) = -z**2 - 32*z - 5. Let r be j(-32). Which is the second biggest value? (a) -6 (b) x (c) r
c
Let a = -164.2 - -163.7. Let y = -21/37 - 1/259. What is the third smallest value in a, 0.5, y?
0.5
Let o = -0.34 + -21.66. Let y = -32 - -12. Let t = y - o. What is the third smallest value in -0.5, t, -2?
t
Let c = -889/4 - -222. What is the second biggest value in 3/5, 2, -4, c?
3/5
Let z be (-4)/(-5) - 1379/(-70). What is the third smallest value in 2/11, 0.4, z?
z
Let t(w) = 8*w + 43. Let f be t(-6). Let h be 46/10 + (f - 3/(-3)). Which is the third biggest value? (a) h (b) 0.4 (c) -2
c
Let y = -32.8 + 45.8. What is the second smallest value in -8, y, -0.1?
-0.1
Let p be ((-955)/14)/5 + 2. Let k = p + 23/2. Let r = -0.1051 - 0.2949. Which is the biggest value? (a) 0.1 (b) k (c) r
a
Suppose -5*p - p = 12. Let q(h) = -3*h**2 - 1. Let g be q(1). What is the smallest value in p, g, 2/21?
g
Let q be ((15/2)/5)/4. Let w = 18 + -17.97. What is the third biggest value in q, -1, w?
-1
Let h = 52 + -52. Let d be -1 + 0 + (-4674)/(-21). Let x = -222 + d. What is the biggest value in h, -0.4, x?
h
Let z = 5 + -21/4. Let p = -6.4 - -6. Let l = -99/92 - -15/46. Which is the second biggest value? (a) p (b) z (c) l
a
Let d be (7972/(-44))/(-1) - -2. Let h = 183 - d. Let k = 1.6 + 1.4. Which is the smallest value? (a) k (b) 3/2 (c) h
c
Let l = -0.57 - 0.43. Let f = -15.2 + 15.4. Which is the biggest value? (a) 0.06 (b) -2 (c) f (d) l
c
Let d = -28.7 + 32.7. What is the second smallest value in -3, -2, -10, d?
-3
Let n = -2.2 + 4. Let d = 2 - n. Let o be ((-4)/(-6))/(100/(-750)) - -4. What is the third biggest value in -2, d, o?
-2
Let b = -0.51 + 0.46. Let v = b - -3.05. What is the third smallest value in v, -3, 4?
4
Let d = 0.6 + -0.1. Let r = 0.0589 - -0.1411. What is the second biggest value in -0.07, d, r?
r
Let b = 0.2 - 0.5. Let l be (30/35)/(33/7). What is the second biggest value in -10, l, 0.3, b?
l
Let u = -12 - -17. Suppose 2*t - t = 5*g - 40, g + u*t = 8. Let o be (-4)/g - (-13)/22. What is the second smallest value in o, 0, 1/6?
o
Let w be (2/4)/((-2)/20). Let l = 0.45 - 0.64. Let h = -0.29 - l. What is the smallest value in h, w, 2?
w
Let l = 237.86 - 238. Which is the second biggest value? (a) -2 (b) 5 (c) l
c
Let w = 637 - 636.85. What is the second smallest value in 1, w, 4, -3?
w
Let j = -238 - -248.7. Let p = -11 + j. Let k = -21 - -16. What is the second smallest value in k, 2/11, p?
p
Let x = 28 - -19. Let w = x - 46.7. Suppose 0 = -2*n + 4*n + 4. Which is the third smallest value? (a) -1/3 (b) w (c) n
b
Let u = 3 - 4. Let p = 1947.7 - 1947.5. Which is the smallest value? (a) u (b) p (c) 2/9
a
Let o = 24.2 + -5.1. Let f = o - 19. What is the fourth smallest value in f, 1, -2/9, 1/4?
1
Let h(z) = z**3 - 3*z**2 - 4*z + 2. Let w(x) = -3*x - 11. Let q be w(-5). Let o be h(q). Which is the smallest value? (a) -3 (b) o (c) 1 (d) -1
a
Suppose -4*v = 672 - 40. Let x = -469/3 - v. Suppose q + q + 12 = 3*o, o - 8 = 2*q. Which is the second biggest value? (a) 0 (b) x (c) q
a
Let w = 3 + 2. Let c be ((-8 - -15) + -10)*1/6. What is the biggest value in w, c, -2/5?
w
Suppose 0*r - 3*h = -3*r - 3, 0 = 4*h. Let v = -105 + 109. Which is the second biggest value? (a) r (b) v (c) -0.4
c
Let x be 0 - -1 - (-2)/(-8). Let h = 142393/85434 + -1/28478. Which is the third biggest value? (a) h (b) 0.07 (c) x
b
Let q = -17.31 + -0.29. Let o = q - -33. Let p = o - 15. Which is the smallest value? (a) -3 (b) p (c) -2
a
Suppose -s - j = -2*s + 2, 3*j = 0. Let p = -1.57 + 1.5. Let y = p + -0.03. Which is the second smallest value? (a) y (b) 0.2 (c) s
b
Let s = -1169 + 1059. Which is the smallest value? (a) 1 (b) s (c) 2 (d) -1
b
Let y = 4 - 0. Let l = -7 - -3. Let g be (l/10)/(1/(-5)). Which is the smallest value? (a) -0.5 (b) y (c) g
a
Let g = -186 + 181. What is the fourth smallest value in -3, -1, g, 1?
1
Suppose 0 = -20*v + 14*v - 18. Which is the biggest value? (a) v (b) -2/5 (c) 7 (d) -0.3
c
Let y = -0.0045 + -0.2955. Which is the second biggest value? (a) -2/9 (b) y (c) 33
a
Let n = 445 + -441. Which is the third biggest value? (a) 64 (b) -4 (c) n
b
Let u be 1*(-2 + 4 - -3). Let r = -0.5 + -2. L | {
"pile_set_name": "DM Mathematics"
} |
f 1694 to the nearest integer?
41
What is the square root of 1273 to the nearest integer?
36
What is the cube root of 21074 to the nearest integer?
28
What is the cube root of 3302 to the nearest integer?
15
What is 265 to the power of 1/3, to the nearest integer?
6
What is the third root of 6196 to the nearest integer?
18
What is the eighth root of 41707 to the nearest integer?
4
What is 1066 to the power of 1/3, to the nearest integer?
10
What is 16718 to the power of 1/4, to the nearest integer?
11
What is the fourth root of 29908 to the nearest integer?
13
What is 12214 to the power of 1/2, to the nearest integer?
111
What is 2022 to the power of 1/8, to the nearest integer?
3
What is the cube root of 4473 to the nearest integer?
16
What is the square root of 3646 to the nearest integer?
60
What is the fifth root of 1468 to the nearest integer?
4
What is 6211 to the power of 1/4, to the nearest integer?
9
What is the square root of 1807 to the nearest integer?
43
What is 358 to the power of 1/2, to the nearest integer?
19
What is 81766 to the power of 1/9, to the nearest integer?
4
What is the third root of 8868 to the nearest integer?
21
What is 11590 to the power of 1/2, to the nearest integer?
108
What is the cube root of 4228 to the nearest integer?
16
What is 3772 to the power of 1/2, to the nearest integer?
61
What is 1003 to the power of 1/8, to the nearest integer?
2
What is 23127 to the power of 1/10, to the nearest integer?
3
What is the cube root of 3678 to the nearest integer?
15
What is the cube root of 1188 to the nearest integer?
11
What is 1731 to the power of 1/6, to the nearest integer?
3
What is the square root of 3089 to the nearest integer?
56
What is 94484 to the power of 1/4, to the nearest integer?
18
What is the sixth root of 31064 to the nearest integer?
6
What is the square root of 88510 to the nearest integer?
298
What is the fourth root of 10604 to the nearest integer?
10
What is 6790 to the power of 1/3, to the nearest integer?
19
What is 293 to the power of 1/2, to the nearest integer?
17
What is 3941 to the power of 1/9, to the nearest integer?
3
What is the seventh root of 8288 to the nearest integer?
4
What is 235 to the power of 1/2, to the nearest integer?
15
What is 28597 to the power of 1/4, to the nearest integer?
13
What is the cube root of 9958 to the nearest integer?
22
What is 2409 to the power of 1/3, to the nearest integer?
13
What is the cube root of 8236 to the nearest integer?
20
What is the seventh root of 7913 to the nearest integer?
4
What is the tenth root of 465 to the nearest integer?
2
What is 22586 to the power of 1/3, to the nearest integer?
28
What is the square root of 8399 to the nearest integer?
92
What is the third root of 11795 to the nearest integer?
23
What is the square root of 1170 to the nearest integer?
34
What is the cube root of 15207 to the nearest integer?
25
What is the third root of 384 to the nearest integer?
7
What is 20670 to the power of 1/10, to the nearest integer?
3
What is the square root of 1607 to the nearest integer?
40
What is 4036 to the power of 1/4, to the nearest integer?
8
What is the cube root of 1932 to the nearest integer?
12
What is the square root of 772 to the nearest integer?
28
What is 3380 to the power of 1/3, to the nearest integer?
15
What is the fifth root of 9601 to the nearest integer?
6
What is the square root of 2526 to the nearest integer?
50
What is the fifth root of 5665 to the nearest integer?
6
What is 4489 to the power of 1/4, to the nearest integer?
8
What is the square root of 11524 to the nearest integer?
107
What is the third root of 4423 to the nearest integer?
16
What is 644 to the power of 1/7, to the nearest integer?
3
What is the square root of 7573 to the nearest integer?
87
What is the sixth root of 673 to the nearest integer?
3
What is 10026 to the power of 1/5, to the nearest integer?
6
What is 83875 to the power of 1/2, to the nearest integer?
290
What is the square root of 19971 to the nearest integer?
141
What is 6467 to the power of 1/3, to the nearest integer?
19
What is 854 to the power of 1/6, to the nearest integer?
3
What is 2462 to the power of 1/8, to the nearest integer?
3
What is 3827 to the power of 1/10, to the nearest integer?
2
What is the sixth root of 23736 to the nearest integer?
5
What is the cube root of 18152 to the nearest integer?
26
What is 4779 to the power of 1/6, to the nearest integer?
4
What is the square root of 5938 to the nearest integer?
77
What is 23 to the power of 1/9, to the nearest integer?
1
What is the cube root of 10586 to the nearest integer?
22
What is 3083 to the power of 1/9, to the nearest integer?
2
What is 90879 to the power of 1/2, to the nearest integer?
301
What is the third root of 3154 to the nearest integer?
15
What is the eighth root of 20187 to the nearest integer?
3
What is the third root of 6290 to the nearest integer?
18
What is the square root of 62115 to the nearest integer?
249
What is the sixth root of 17583 to the nearest integer?
5
What is the square root of 417 to the nearest integer?
20
What is 1118 to the power of 1/3, to the nearest integer?
10
What is the cube root of 2658 to the nearest integer?
14
What is the third root of 19257 to the nearest integer?
27
What is 75425 to the power of 1/9, to the nearest integer?
3
What is 7301 to the power of 1/3, to the nearest integer?
19
What is the square root of 338 to the nearest integer?
18
What is the square root of 16722 to the nearest integer?
129
What is 1260 to the power of 1/9, to the nearest integer?
2
What is the sixth root of 4294 to the nearest integer?
4
What is the square root of 16345 to the nearest integer?
128
What is the third root of 54319 to the nearest integer?
38
What is the third root of 12721 to the nearest integer?
23
What is 2224 to the power of 1/3, to the nearest integer?
13
What is the square root of 1509 to the nearest integer?
39
What is 5086 to the power of 1/3, to the nearest integer?
17
What is 17650 to the power of 1/2, to the nearest integer?
133
What is 22834 to the power of 1/2, to the nearest integer?
151
What is 649 to the power of 1/10, to the nearest integer?
2
What is 1923 to the power of 1/2, to the nearest integer?
44
What is 10080 to the power of 1/2, to the nearest integer?
100
What is the square root of 1779 to the nearest integer?
42
What is the third root of 2073 to the nearest integer?
13
What is 42896 to the power of 1/2, to the nearest integer?
207
What is the cube root of 21889 to the nearest integer?
28
What is the sixth root of 1204 to the nearest integer?
3
What is the fourth root of 136 to the nearest integer?
3
What is the cube root of 48274 to the nearest integer?
36
What is 822 to the power of 1/2, to the nearest integer?
29
What is the square root of 108305 to the nearest integer?
329
What is the cube root of 4808 to the nearest integer?
17
What is 6595 to the power of 1/7, to the nearest integer?
4
What is 12255 to the power of 1/3, to the nearest integer?
23
What is the square root of 7577 to the nearest integer?
87
What is the seventh root of 2143 to the nearest integer?
3
What is 1090 to the power of 1/5, to the nearest integer?
4
What is the fourth root of 2214 to the nearest integer?
7
What is the square root of 786 to the nearest integer?
28
What is the cube root of 3376 to the nearest integer?
15
What is 126 to the power of 1/2, to the nearest integer?
11
What is the tenth root of 3251 to the nearest integer?
2
What is 1593 to the power of 1/2, to the nearest integer?
40
What is 1355 to the power of 1/7, to the nearest integer?
3
What is 156 to the power of 1/2, to the nearest integer?
12
What is the seventh root of 1643 to the nearest integer?
3
What is 18359 to the power of 1/10, to the nearest integer?
3
What is the ninth root of 34063 to the nearest integer?
3
What is 3216 to the power of 1/3, to the nearest integer?
15
What is the third root of 14517 to the nearest integer?
24
What is the cube root of 4609 to the nearest integer?
17
What is 22621 to the power of 1/5, to the nearest integer?
7
What is the square root of 7125 to the nearest integer?
84
What is the square root of 4412 to the nearest integer?
66
What is the four | {
"pile_set_name": "DM Mathematics"
} |
= -21/43 + b. Suppose 0*t + 4*t - 196 = 3*u, 0 = 2*u. What is the common denominator of t and a?
4
Calculate the common denominator of 53/22 and 37/6 - (9 + -7).
66
What is the common denominator of 9425/(-234) - (-4)/(-18) and -89/2?
2
Let i = 10 + -8. Let z = 4221/1648 - -13/103. Find the common denominator of (-69)/66 + i - 1 and z.
176
Let p(s) = -9*s**3 - 4*s**2 - 4*s - 2. Let z be p(-2). Suppose -2 = 5*x - z. What is the smallest common multiple of 100/16 + 1/(-4) and x?
12
Suppose -2*n = -5*n + 54. Suppose 0 = -l + 2*l - 5*h + 2, -4*l - 3*h + 38 = 0. What is the least common multiple of l and n?
72
What is the least common multiple of 162 and (-21)/35 + 66/10?
162
Let w be 0 + (-6)/3*-2. Calculate the common denominator of 63/8 and 291/12*w/6.
24
Suppose 4*o + 5*l - 13 = -0*l, -4*o = -5*l - 3. Find the common denominator of -65/12 and 1/4 - (-36)/o.
12
Let n be (-7 + 9)/(526/(-18)). Let u = n + -20143/1578. What is the common denominator of u and -55/8?
24
Let y be 2/6*18/3. What is the smallest common multiple of 3 and ((-3)/y)/((-6)/20)?
15
Calculate the smallest common multiple of 104/10 - (-4)/(-10) and 22.
110
Calculate the common denominator of 77/8 and (-2)/(-3) - 14/588.
56
What is the smallest common multiple of 4 and (-268)/(-22) + (-6)/33?
12
Let o = -635 + 4416/7. Find the common denominator of o and 17/9.
63
Find the common denominator of (9/63)/((-2)/79) and (-4)/18 - (-2984)/(-1152).
112
Suppose 0 = -2*v + 5 + 1. Calculate the least common multiple of 11 and v.
33
Let i(h) = h**3 + 6*h**2 + 2. Let w be i(-6). Suppose -25 + 5 = -w*t. Calculate the least common multiple of 18 and t.
90
Suppose -508 = 4*l + 664. Let c = l + 551. Let s = c + -4165/16. Calculate the common denominator of s and 79/4.
16
Let l(n) = -n**3 + 8*n**2 - 5*n + 1. Let j be l(7). Calculate the smallest common multiple of j - (-6 - (-3 + 0)) and 12.
36
Let h = 7397/36 + -2036/9. Calculate the common denominator of (-2 + 25/11)/(8/(-104)) and h.
44
Let f = 4649 - 40256/9. Let j = f + -173. Find the common denominator of 7/3 and j.
9
Let u(y) = 7*y + 13. Let q(b) = 6*b + 12. Let t(k) = 6*q(k) - 5*u(k). What is the smallest common multiple of 22 and t(5)?
132
Suppose -f + 212 = f. Suppose -f - 4 = 5*j. Find the common denominator of 62/9 and j.
9
Let k be (3 - 1) + -6 + 6. Suppose -3*m = -k*c + 18, -3*c = -0*c - m - 27. What is the smallest common multiple of 1 and c?
9
Suppose 5*w + 12 + 8 = 0. What is the smallest common multiple of (-12)/15*50/w and 8?
40
Let p(s) = s**2 - 2*s + 2. Let x be p(4). Suppose 0 = 2*o + x, 9 = 2*j - 5*o - 36. What is the least common multiple of j and 8?
40
Let p(t) = 15*t**3 - 2*t + 1. Let z(w) = -w**2 + 4*w + 6. Let m be z(5). Calculate the lowest common multiple of p(m) and 16.
112
Let w = 67961 + -206996/3. Let a = -25195/24 - w. Find the common denominator of a and -21/16.
16
Let a = -19 + 31. Suppose 1 = -4*x + 73. Calculate the smallest common multiple of x and a.
36
Suppose 8*b - 4*b - 16 = 0. Let k(q) = -q**2 + 2*q + 5. Let c be k(0). Suppose -c*w + 0 = 2*i - b, 4*w = -16. What is the least common multiple of i and 12?
12
Suppose -a = -0*a + 5, 0 = 5*f - 4*a + 10. Let w be f/9 + 16/6. Suppose -3*c + 7*c = w*u - 44, u - 26 = 4*c. What is the least common multiple of 4 and u?
36
Let y = 3 - 5. Let d(f) = 2 + 0*f + 3*f - 4*f - 5*f. Calculate the lowest common multiple of 12 and d(y).
84
What is the common denominator of -73/9 and 2 + -5 - (0 - 7/(-30))?
90
Let v = 2 - 2. Suppose p + 42 + 8 = v. Find the common denominator of -131/6 and (10/6)/(12/p).
18
Suppose 0 = -2*y - 2*y + v + 36, 0 = 4*y - 5*v - 52. Let u be (-164)/y*1*-2. What is the common denominator of -7/16 and (-3)/(-8)*u/(-3)?
16
Let u = 87 + -47. Calculate the least common multiple of u and 30.
120
Let r = 4499/1060 + 3/530. Find the common denominator of 1660/(-80)*(-2)/(-8) and r.
16
Suppose 2*d + 92 = -124. Calculate the common denominator of (-3)/2*d/15 and 4/9.
45
Suppose 0 = 3*s - 53 - 55. Suppose -r = 2*r - s. Calculate the least common multiple of 34 and r.
204
Let i = -83 - -101. What is the least common multiple of 34 and i?
306
Let w(u) = -u**3 - u**2 + 2*u. Let c be w(2). Let p = -2 - c. Suppose -15 - 21 = -4*f. Calculate the lowest common multiple of p and f.
18
Let t = -4 + 12. Calculate the common denominator of -17/2 and (-189)/7*(-3)/t.
8
Let w = 62/9 - 67/9. Find the common denominator of 67/10 and w.
90
Let o = 149112 - 599649/4. Let f = o + 794. Find the common denominator of 77/12 and f.
12
Let j = -1831 + 3735/2. Calculate the common denominator of j and 32/61.
122
Let n(i) be the second derivative of -7/6*i**3 + i + 0 + 1/12*i**4 + i**2. Calculate the least common multiple of n(7) and 4.
4
Find the common denominator of 1/(-7 + -4)*40 and 1/(-2)*267/6.
44
Let c be 96/(-10) + 10/(-25). What is the lowest common multiple of 5 and (-12)/c + 1/(-5)?
5
Suppose 3 = -3*n - 0, 2*n - 93 = 5*r. What is the common denominator of -54/7 and r?
7
Suppose j + 4*t - 11 = 0, -4*j - 7 = -0*j - t. Find the common denominator of (-1 - j) + (-85)/6 and -133/12.
12
Let j = -20/77 + -2204/1001. What is the common denominator of -36/7 and j?
91
Suppose -4*k = 4*q - 3*k - 63, 0 = 2*q - k - 33. Let o = 1 + 13. Calculate the lowest common multiple of q and o.
112
Let y = -10877/7 + 1548. Find the common denominator of 47/12 and y.
84
Let z = -918/19 - -45349/950. Calculate the common denominator of z and -49/18.
450
Let f(c) = 4*c**3 - c + 2. What is the lowest common multiple of f(1) and 9?
45
Let z = -14 + 33. Suppose 31 = -3*p - l, -33 = 5*p + 5*l + 12. Let v = z + p. What is the least common multiple of 5 and v?
40
Let u = -61453/9936 + 167/27. Let h = -17383/16560 - u. Find the common denominator of -39/22 and h.
220
Let c = 2/1035 + 5794/1035. Calculate the common denominator of -39/17 and c.
85
Calculate the common denominator of -33*(224/(-720) + 1/6) and 89/66.
330
What is the common denominator of -43/3 and (-5034)/(-540) - (-4)/(-18)?
30
Let a be (-2)/7 + 16/7. Find the common denominator of 33/16*a/6 and 53/2.
16
Calculate the common denominator of -101/14 and ((-67)/12)/((-1)/3).
28
Let c = 4349 - 17485/4. Let p = 614623/171516 + -2/14293. Calculate the common denominator of p and c.
12
Let d(h) = h**2 - 6*h + 14. Let w be d(6). Let p = -3 + w. Suppose 4*u + u = -m + 12, 3*m - 2 = 2*u. Calculate the lowest common multiple of m and p.
22
Let b(f) = f. Let m be b(0). Let r be (-20)/7 + 5/(-35). What is the least common multiple of 5 and m + -3 + (r - -13)?
35
Suppose t - 17 = 2*v - 3, -4*t + 5*v + 44 = 0. Calculate the lowest common multiple of t and (2 - 1)/((-2)/(-36)).
18
Find the common denominator of (-4)/(-10) - (-1422)/120 and -3/62.
124
Let s = 21 - 33. What is the common denominator of (4/s)/((-2)/(-64)) and 37?
3
Let o = -4/5 - -23/10. Find the common denominator of o and 137/18 + (-2)/2.
18
What is the common denominator of -101/8 and 100/32 - 4 - -4?
8
Let d be (2 + 1)/(6/(-4)). Let i = d + 8. What is the lowest common multiple of 22 and i?
66
Find the common denominator of 703/57*((-15)/2)/5 and -99/14.
14
Suppose -2*u + 6 = u. Calculate the lowest common multiple of 5 and (u/(-6))/(5/(-15)).
5
Suppose 0 = 5*x - 2*q + 6, 0 = -5*q + 20 - 5. Suppose x*s - s = -2*c - 42, -3*c = -2*s + 81. Calculate the common denominator of s and -77/6.
6
Let m(u) = -u - 5. Let i = 6 + 4. Let p = i - 19. What is the least common multiple of m(p) and 14?
28
Let o = 5 - -1. Calculate the common denominator of 46/11 and 3/o + 129/30.
55
Suppose 2*f - 8 = f. Let h be (-2)/f - 9862/(-88). Let r = h + -15211/132. What is the common denominator of r and 119/10?
60
What is the common denominator of -101/4 and (47/18)/(5/(-10))?
36
What is the common denominator of 558/168 - (-6)/14 and 30/7?
28
Suppose 5*x + 5*n - 17 - 18 = 0, -4*x - 2*n = -26. Let h = -155 + 159. What is the smallest common multiple of x and h?
12
Suppose 3*o = 4*o - 20. Suppose -w = w - 60. Let f = w - o. What is the smallest common multiple of f and 9?
90
Let g = 9 + 31. Calculate the smallest common multiple of 44 and g.
440
Let l = -36 - -58. Suppose -u + 10 + 0 = 0. What is the smallest common multiple of l and u?
110
Let x = 7343 + -73353/10. Calculate the common denominator of x and ( | {
"pile_set_name": "DM Mathematics"
} |
lculate 132/1155*7*15/(-12)*62.
-62
(1552/291)/((-7)/((-1155)/176))
5
What is the value of (-668)/(-32064)*(-24)/6?
-1/12
(-52)/3*(2*5)/(2640/(-990))
65
(((-1)/2)/(12/3))/98*-4
1/196
What is the value of 17*(3618/(-162))/67?
-17/3
(92/(-161))/((-1224)/51)
1/42
2/((3312/(-1265))/(-72))
55
4*-108*30/(-1440)
9
Calculate 4240/(-4770)*(-5)/10*18.
8
Calculate (-323)/(-19)*((-45)/(-102))/((-15)/(-12)).
6
Calculate 35/(-6)*21051/46780.
-21/8
Evaluate 160/(-30)*(57/76)/(40/960).
-96
(579/(-3281))/((-420)/170)
1/14
Evaluate ((6175/50)/(-19))/((27/9)/(-6)).
13
Evaluate (5298/(-3532))/((3/(-360))/((-1)/2)).
-90
(42/(-140))/(((-504)/(-63))/16)
-3/5
What is ((-4)/31)/(123388/17546)?
-2/109
What is the value of (245/(-2058))/((-190)/304)?
4/21
Evaluate ((-110)/(-7810))/(2/(-4)).
-2/71
What is the value of -1*11/1*(-2036)/2036?
11
Calculate ((-56133)/126)/(-27)*(-2)/(-11).
3
Calculate ((-5621)/(-1925)*-25)/(2/2).
-73
What is the value of 9*160/30*((-108)/(-56))/((-12)/14)?
-108
What is -1*((-816)/2856)/(20/21)*(-105)/(-18)?
7/4
What is the value of 12*30/2400*112/12?
7/5
What is the value of 477/(-1696)*(-2604)/279?
21/8
8*15/(-90)*6*5/1860
-2/93
What is the value of ((-16)/((-16848)/81))/(21/(-6))?
-2/91
Evaluate ((-59460)/(-26757))/((-1)/4*1).
-80/9
Evaluate 45/(-9)*16*25/(-1400).
10/7
What is (34/4352*48)/(2/8)?
3/2
What is ((-708)/9*4/16)/((1050/90)/35)?
-59
Calculate ((253/1012)/((-19)/76))/((-1)/125).
125
Calculate ((-16)/4)/(-1)*-46*(-45)/24840.
1/3
What is 38*(84/(-16))/(-3)*(560/(-49))/20?
-38
Calculate 486/324*-3*(-8)/(-1).
-36
What is the value of (-2090)/(-209)*1*(-4)/((-32)/68)?
85
(-388)/(171/((-16587)/(-388)))
-97
Calculate ((-5)/60*10)/(913/(-32868)).
30
Evaluate (-120)/((-160)/8)*658/(-47).
-84
Evaluate ((-1280)/((-210)/42))/(-10)*1*(-5)/(-2).
-64
Evaluate (8/(-20)*5)/(((-3)/18)/(98/14)).
84
Calculate (((-2)/13)/(26*96/9984))/(-2).
4/13
Calculate ((-90)/126*(-20)/50)/((-14)/(-2940)).
60
What is the value of 51748/(-3044)*-1*2/(-6)*-3?
17
(3*2/(-2))/((3708/(-76632))/(2/2))
62
What is the value of (86208/14368)/(15/(-8))?
-16/5
Calculate (138/391)/((13671/(-31))/21).
-2/119
(24/(-36))/((-4000)/(1200/(-30)))
-1/150
What is (((-1675)/670)/((-1)/(-2)))/((15/25)/(-3))?
25
What is ((-990)/180)/(273416/(-416))?
2/239
What is the value of (-20)/(-90)*567/(-126)*(-12)/108?
1/9
Calculate 15/(-210)*42/4.
-3/4
What is ((-77760)/(-10108800))/((1*-2)/8)?
-2/65
Calculate (120/45)/(44/1089*-6).
-11
Calculate 1/(-5)*-46*24*(-80)/(-384).
46
What is the value of (51/2601*595)/(5/6)?
14
Calculate ((1700/(-16))/(-5))/((-130)/(-4576)*22).
34
Evaluate (-10)/(-6)*(4*(-111)/(-322640))/((-1)/(-8)).
2/109
What is (108/16)/(36/(-192))*(90/9)/(-100)?
18/5
Calculate ((-60)/(-8))/(70/(-245)*70).
-3/8
Calculate (((-60390)/(-88))/45)/((-24)/(-96)).
61
Evaluate (77097/829)/(9/(-3)).
-31
What is the value of ((-165)/(-198))/(6*(-2)/(-72))*-8?
-40
What is the value of (92*(-26)/143*(-11)/(-4))/2?
-23
Evaluate ((-3990)/(-2280))/((-14)/80).
-10
Calculate -11*1*9496/(-26114).
4
Calculate ((-54)/(-63))/((-248)/434)*32/(-54).
8/9
Calculate 23/((-5428)/(-295))*(-132)/(-15).
11
Evaluate ((-1304)/(-242544))/((-1)/12).
-2/31
Calculate 106/44*(-2684)/(-122).
53
Evaluate (-13*(-24)/234)/(2/(-148)*8/(-3)).
37
0/(12/9*63/(-84))*(-2)/6
0
What is (-358)/358*(-16)/2*18/16?
9
Calculate (-1*4)/(5782/37583).
-26
Calculate (50/(-2500)*45)/((-156)/(-20)).
-3/26
Evaluate ((-11)/(-42))/(187022/(-153018)).
-3/14
Calculate (29/(-58))/(-1)*2/2*26.
13
What is ((-12)/(-1))/((12/168)/((-12)/(-21))*464)?
6/29
What is ((-2)/88)/(19/57*12/8)?
-1/22
Calculate (3776/4248)/((-228)/(-54)).
4/19
((-246160)/41630)/((-6)/69)
68
Calculate (-44)/(-154)*2*(-12)/(-468)*21*1.
4/13
What is (24*2450/(-10080))/((-7)/1)?
5/6
Evaluate 21/35*(-375)/(-15)*(-10)/(-30).
5
What is the value of (203/116)/((-63)/216)?
-6
1620/1404*2/(-1)*5/25
-6/13
Calculate (1450/25)/(-29)*8/(-360).
2/45
What is 3*((-8)/(-252)*-7)/(-2)?
1/3
Evaluate ((-2)/(-9))/(327/(-8829))*(-26)/3198.
2/41
What is the value of 4*(-3)/(-300)*((-5280)/(-7128))/(4/3)?
1/45
Calculate 175/(-75)*-78*((-8)/(-1))/16.
91
What is (-20)/(-500)*300/(-50)*(-40)/6?
8/5
What is the value of (4/(-12)*(-480)/(-80))/(4/2)?
-1
What is the value of ((-10)/3870*3)/(3*6/54)?
-1/43
Evaluate -102*(2/(-4))/(10*(-114)/(-760)).
34
Calculate (24747/(-452))/(6/20*45/(-108)*6).
73
Evaluate 122*(-144)/(-65880)*6*1/(-8).
-1/5
What is (2/21)/(-1)*2023/(-867)?
2/9
Evaluate -7*(32/(-140))/((-120)/(-12150)*-3).
-54
(20/(1280/688))/((-280)/320)
-86/7
Evaluate (-49872)/2078*(-4)/912.
2/19
What is the value of (363/1452)/((26/(-24)*3)/1)?
-1/13
What is (4/(-60))/((-19)/(-95))*(-29)/87?
1/9
Calculate ((-38801)/(-1446)*(-48)/(-42))/(-4).
-23/3
What is (13570/115)/(-118)*2*49/2?
-49
Calculate (-9000)/(-7000)*(-48)/9.
-48/7
What is the value of ((-20)/(-884))/((-323)/(-10982))?
10/13
Evaluate ((-13572)/42978)/(((-2)/(-19))/(-2)).
6
Evaluate ((25/(-10))/(-5))/((2673/(-7062))/81).
-107
(126/(-18))/((-2)/2*-6*(-1)/3)
7/2
What is the value of (-8)/5*(-5780)/(-2312)?
-4
What is the value of 407*11*38/(-4598)?
-37
Calculate 39/(202410/(-1384))*18/(-8).
3/5
What is the value of (-5406)/34*(-65)/(-78)*(18/(-15))/(-6)?
-53/2
Calculate 72/(-54)*(-117)/416*2.
3/4
What is the value of 1/((74/(-1628))/(5/(10/(-7))))?
77
Calculate 299/(11960/120)*2/57.
2/19
What is the value of 35288/1604*-2*24/44?
-24
What is the value of (-232)/20*10*8*19/608?
-29
What is (-408)/(-340)*(-15)/(-24)*40/(-33)?
-10/11
What is (1242/(-7245))/((-10101)/(-455))?
-2/259
Calculate ((-264)/9)/(50/(-15)*27/(-135)).
-44
What is (-6)/3*20432/7662?
-16/3
(-10)/180*52/39
-2/27
Evaluate (-18)/9*((-425)/(-1125))/17.
-2/45
What is the value of (4/(-16))/(14/392)*((-72)/(-2121))/(-12)?
2/101
Calculate ((64/176)/((-128)/(-2112)))/(4/6).
9
Evaluate 1306960/32674*2/6*(-3)/4.
-10
Calculate ((-148)/1480)/((3/4)/(15/4)).
-1/2
What is the value of ((-8)/(-68))/((-7745)/(-3098)*(-3)/(510/(-4)))?
2
What is the value of ((-17016)/(-7090))/(84/5)?
1/7
Calculate (72/4554)/((-1221)/(-9361)).
4/33
(1855/70)/(45/90)
53
What is (9*3/45)/((246/(-205))/(56/8))?
-7/2
What is 2915/(-221540)*(-8)/(-2)?
-1/19
Calculate ((-1004)/753)/(13/(-3))*(225/(-10))/(-9).
10/13
Calculate (-10)/7*9*(-924)/1485.
8
What is the value of (1521/(-936)*30/(-39))/(2/136)?
85
Evaluate 1781000/311675*(42/8)/1.
30
What is the value of 53*(-5244)/(-54378)*(-6)/(-23)?
4/3
Evaluate (3*(-49)/(-18))/(19*16/(-1824)).
-49
What is (33/132*-15)/((6/20)/(72/60))?
-15
Evaluate -40*27/1440*(-80)/(-66).
-10/11
Evaluate (-1682)/(-2523)*36/2.
12
What is (((-40)/(-9))/2)/(21/((-7560)/(-150)))?
16/3
Evaluate ((-174)/(38280/(-110)))/(3/474).
79
What is the value of ((-830)/(-1162))/(10/(-1050))?
-75
Evaluate ((-85)/(-17850)*105)/(1/(-10)).
-5
What is (1350/(-20))/(-15)*(10304/(-98946))/56?
-2/239
Evaluate ((2800/(-910))/20)/(15/(-26)).
4/15
Calculate ((-42)/20*(-345)/(-1242))/((-15)/(-80)).
-28/9
What is 9/((2*(-6)/8)/(4704/2352))?
-12
Calculate (((-210)/84)/((-30)/3))/(6/246*-1).
-41/4
What is the value of (-294378)/(-652)*4/42?
43
Calculate (152/(-190))/(((-34)/(-10))/((-95)/(-3610))).
-2/323
What is the value of 2/((-1160)/6)*14/(-9)*(-32)/112?
-2/435
What is the value of (327/(-218))/((-15)/(-410))?
-41
((-2)/(-73))/(9204/6382974)
19
(-3)/(-15)*235*148/31302
2/9
((-17)/((-4386)/4))/2*(-33)/22*4
-2/43
Calculate 1008/(-27)*6900/4025.
-64
Evaluate (2*(-54)/33)/(5372/29546).
-18
Evaluate ((324/21)/(-6))/(3/((-756)/48)).
27/2
What is the value of (-2)/(-30)*(3/6)/((-16)/(-1248))?
13/5
Evaluate ((-8)/(-2))/((-86)/(-11696)*-34).
-16
Calculate (18/11583*-9)/(9/(-117)).
2/11
What is 1446/482*(-6)/27*(-1809)/(-54)?
-67/3
Evaluate (-6)/(-18)*8235/732*-12.
-45
Evaluate 3/(-195)*3235/647.
-1/13
Evaluate ((-9)/(-828))/((-3)/4)*180/(-30).
2/23
60882/4234*290/(-30)
-139
(-1292)/(-16)*1720/4085
34
What is (3/9)/(32*(-20)/109440)?
-57
(((-36)/738)/(264/(-83886)))/((-1)/(-6))
93
(-16)/6*((-119)/(-34))/(-7)*-45
-60
What is the value of 1566279/53548*8/3?
78
((6/(-8))/((4554/8052)/23))/(2/4)
-61
What is (-2*(30/12)/(-1*(-3)/15))/2?
-25/2
Calculate (-142)/((-2)/2*(-6)/3*(-283)/(-283)).
-71
Evaluate ((-12100)/660)/(15/9).
-11
What is (3/(-3))/1*(-12610)/5044?
5/2
What is (20/(-5)*(-1)/10)/((-27)/(135/(-1)))?
2
What is the value | {
"pile_set_name": "DM Mathematics"
} |
29)
Simplify (((k/(k/k**(-3/5)))/k*k)/k)/k*k**9 assuming k is positive.
k**(32/5)
Simplify a/(a*a**18)*a**(4/15) assuming a is positive.
a**(-266/15)
Simplify m**(-3)/(m/(m*m/m**(-11)*m*m)) assuming m is positive.
m**11
Simplify (s*s*s*(s/s**(2/15)*s)/s*s)/s**(4/3)*(s**8/s)/s*s*s*s**(1/3) assuming s is positive.
s**(178/15)
Simplify ((a/a**(1/4)*a)/a**(-2/5))/(a**(3/2))**(2/67) assuming a is positive.
a**(2821/1340)
Simplify ((s**4)**(-4/9))**37 assuming s is positive.
s**(-592/9)
Simplify (n**1)**27/(n/(n*n**(-4)*n)*n/((n*n/n**0*n)/n*n)) assuming n is positive.
n**26
Simplify o**(-4/3)/(o/(o/(o*o*o**(-3/2)*o*o*o))*o*o)*o**(-1/8)*o**7 assuming o is positive.
o**(1/24)
Simplify a/((a/(a/a**15*a))/a)*a/(a/(a/a**(-10/9))*a) assuming a is positive.
a**(-98/9)
Simplify (l**(-2/7)/l)**49/(l*l*l*l/(l/l**(1/4))*l*(l/(l*l**(-2/7)))/l) assuming l is positive.
l**(-1863/28)
Simplify a**3/a**(-6)*(((a*a**(-2))/a*a)/a)/(a/a**(-4)) assuming a is positive.
a**2
Simplify ((v*v*v**8)/(v*v/(v/(v*v/v**(-1/18)))*v))**(-2/57) assuming v is positive.
v**(-107/513)
Simplify (x/(x*x**(-2/17)*x))/(x/x**(3/4))*(x**(-1))**(-39) assuming x is positive.
x**(2575/68)
Simplify q**21/q*q*q*q**(-4) assuming q is positive.
q**18
Simplify (z*z*(z*z**(-2/9))/z*z*z)/z**32 assuming z is positive.
z**(-254/9)
Simplify (m*m*m/(m/(m*m**(1/3))*m))**(-31)*(m*m**10/m)/m**(-2/29) assuming m is positive.
m**(-5417/87)
Simplify t*t/(t*((t*t**(-1/3))/t)/t)*(t*t*t**(-1/4)*t)/t*t**(6/7)/(t**(-5/4)*t) assuming t is positive.
t**(109/21)
Simplify (x*x/(x*x*x*((x**(1/4)*x)/x*x)/x)*x*x**(-1/5))**(2/75) assuming x is positive.
x**(-3/250)
Simplify ((c/(c*c/(c/((c*c/(c*c**(-3/11))*c)/c)*c)*c)*c*c*c)/c)**(23/4) assuming c is positive.
c**(46/11)
Simplify f**15/f*f**(-13) assuming f is positive.
f
Simplify (m**(-7))**(-7) assuming m is positive.
m**49
Simplify d**(-2/5)/(d*d**(-3/8))*(d*d**(-4))/(d/(d*d/(d**0*d)*d)) assuming d is positive.
d**(-121/40)
Simplify y**9*y**(-6/11)/y*y assuming y is positive.
y**(93/11)
Simplify ((o/o**3)/o)**(-16) assuming o is positive.
o**48
Simplify b/b**(-7)*b**3 assuming b is positive.
b**11
Simplify ((x**(-1/8)/x)/x)/x**(1/5)*x**(-4/5)*x**2 assuming x is positive.
x**(-9/8)
Simplify (k/(k*k**(1/7))*k**(-1/3))/(k*k**0/k)**19 assuming k is positive.
k**(-10/21)
Simplify (s*s**(2/5)*s*(s/(s/(s**(-2/7)/s)))/s)/(((((s*s*(s*s**0)/s)/s*s)/s)/s)/(s*s**(-2/7))) assuming s is positive.
s**(29/35)
Simplify (r**0*r)**(5/8) assuming r is positive.
r**(5/8)
Simplify (g**(3/7)*(g/(g**(4/5)/g))/g)/((g**(2/5)*g)/(g/(g*g*g**(-6)*g*g))) assuming g is positive.
g**(78/35)
Simplify ((m**(3/5)/m)/m*m)/m*(m**(1/33)*m)/m assuming m is positive.
m**(-226/165)
Simplify ((l*l**(8/5))/(l/(((l*l**(-4)*l)/l)/l*l)))**(10/7) assuming l is positive.
l**(-2)
Simplify d/(d**(9/8)/d)*d**(-13)*d assuming d is positive.
d**(-89/8)
Simplify (c/((((c*c**(-2/3))/c)/c)/c))/(((c/c**(-2/9))/c)/c)*(c**1)**(22/5) assuming c is positive.
c**(398/45)
Simplify (w*w*w*(w/(w**(-1/4)*w)*w)/w*w)/(w/((w**(-8)/w*w)/w))*(w**2)**(-46) assuming w is positive.
w**(-391/4)
Simplify z**(-14)/z*z**(-1/9) assuming z is positive.
z**(-136/9)
Simplify c**(-22)/(c**(-17)*c) assuming c is positive.
c**(-6)
Simplify (v/v**(-10)*v*((((v**(-15)*v)/v)/v*v)/v)/v)**(-10) assuming v is positive.
v**50
Simplify (w*w**(-1/2))**35 assuming w is positive.
w**(35/2)
Simplify (h*h**(-13)/h*h*h)/(h/(h*(h*h*h*((h*h*h*h**(10/11))/h*h)/h*h*h*h)/h)) assuming h is positive.
h**(-34/11)
Simplify (i/(i**(-2/15)/i)*i)/(i/(i/(i*i**28/i))) assuming i is positive.
i**(-373/15)
Simplify ((v**(2/9))**(1/16))**(-9/7) assuming v is positive.
v**(-1/56)
Simplify ((g*g**(-6))/g**0)/(g**(2/3))**(-1) assuming g is positive.
g**(-13/3)
Simplify (c/(c/(c**(-10)*c)))/(c/c**(2/75)) assuming c is positive.
c**(-748/75)
Simplify (t*(t/((t/(t/t**(-2/9)))/t))/t*t**(-8))/(t**4*t*(t*t/(t**1/t)*t)/t) assuming t is positive.
t**(-115/9)
Simplify (l/(l/(l/(l*l/(l/(l**(-15)/l*l))))))/(l/l**17) assuming l is positive.
l**31
Simplify t**(2/9)*t**(1/4)*t*((t*t**(-2/7)*t*t*t)/t)**(-42) assuming t is positive.
t**(-4051/36)
Simplify (x**0/x*x*(x*x*x**(-5/2)/x)/x)**(3/16) assuming x is positive.
x**(-15/32)
Simplify (((s*s/(s*s**2)*s)/s)**(-1/14))**(1/26) assuming s is positive.
s**(1/364)
Simplify (r**8*r)/r**(1/14) assuming r is positive.
r**(125/14)
Simplify j*j**(2/117)*j*j*j*j/(j**(9/2)/j*j) assuming j is positive.
j**(121/234)
Simplify ((f/(f**0/f))/f)**(-1/8)/(f**(2/7)/(f**(-1)/f*f)) assuming f is positive.
f**(-79/56)
Simplify (l**(1/5)/(l/(l*l**2)))/(l**(-1/3))**(-17/5) assuming l is positive.
l**(16/15)
Simplify (u/(u*u**1*u))/(((u/(u*u/u**(-3)))/u)/u)*(u**(-1/3))**(-2/23) assuming u is positive.
u**(278/69)
Simplify q**2*q**(-13)*q*q assuming q is positive.
q**(-9)
Simplify (r**0*r**(1/5))/(r/(r*r**(-6/5)*r)*r**(-1/4)) assuming r is positive.
r**(1/4)
Simplify s**(-6)*(s**7*s)/s*(s/(s**1/s))**(2/55) assuming s is positive.
s**(57/55)
Simplify i**(3/7)/((i*i**(-1/2)/i)/i)*(i*i**(-2/7))**(-5) assuming i is positive.
i**(-23/14)
Simplify v**(2/7)/(v*v**32) assuming v is positive.
v**(-229/7)
Simplify ((z*(z**(-1/5)*z*z)/z)**(-7/4))**(19/3) assuming z is positive.
z**(-399/20)
Simplify (u/(u*u**(3/2)*u))/u*u*u*u**(-4)*(u**(-4/3)/u)/((u/(u**6/u))/u) assuming u is positive.
u**(-17/6)
Simplify l*l**2*l/l**(-13) assuming l is positive.
l**17
Simplify (r**(-1))**19 assuming r is positive.
r**(-19)
Simplify (g**(1/4)*g*g)**23 assuming g is positive.
g**(207/4)
Simplify (z*z**(-2/5))**(2/29)/((z*z*z**(2/13)*z*z)/((z**(3/10)*z)/z*z)) assuming z is positive.
z**(-10603/3770)
Simplify r**(-19/4)*(r*(r/(r/((r/((r*r**(-8/7))/r*r))/r))*r)/r)/r assuming r is positive.
r**(-129/28)
Simplify f/((f*f/f**(-9/7)*f)/f)*f**(-12) assuming f is positive.
f**(-100/7)
Simplify (u**(-12)*u)**45 assuming u is positive.
u**(-495)
Simplify (m*m**(-5/6)*m*m*m**(-2/9)/m)**27 assuming m is positive.
m**(51/2)
Simplify (u/u**(-19)*(u*(u*u**20)/u)/u*u)**36 assuming u is positive.
u**1476
Simplify l**16*l*l/l**(-2/3) assuming l is positive.
l**(56/3)
Simplify ((v*v**2/v)**30)**(-20) assuming v is positive.
v**(-1200)
Simplify m**(2/3)*m**(-1/11)/m*m*m*m**(1/4)*m/m**(-1/4) assuming m is positive.
m**(203/66)
Simplify ((l*l**9*l)/l)/(l**(-2/5)/l*l*l)*(l**(-7)*l)/(l/l**(-6/11)) assuming l is positive.
l**(102/55)
Simplify ((x**2)**24)**(-35) assuming x is positive.
x**(-1680)
Simplify (((a**1*a)/a)/(a*a**(-4/11)))**(11/3) assuming a is positive.
a**(4/3)
Simplify (i*i/(i/(i**(1/8)/i)*i)*i*i)/i**(-13) assuming i is positive.
i**(113/8)
Simplify (j**(-5/12)*j)/j*j/(j**20/j) assuming j is positive.
j**(-221/12)
Simplify (w**(-3/7))**(-37) assuming w is positive.
w**(111/7)
Simplify (l/(l/(l**(1/3)*l*l))*l)**39/(l**5*l*l**0) assuming l is positive.
l**124
Simplify (h/(h*h**(-1/5))*h*h**(-5))/((h**0*h)/h**(-2/15)) assuming h is positive.
h**(-74/15)
Simplify (i/(i/i**10*i))**(-19) assuming i is positive.
i**(-171)
Simplify ((l/((l/l**(2/15))/l))/(l**1*l))/(((l**(2/9)/l)/l)/(l*l/(l/l**(1/5)))) assuming l is positive.
l**(19/9)
Simplify (g/g**0)**(-4/21)/(((g**1*g)/g*g)/(g**(-1)/g)) assuming g is positive.
g**(-88/21)
Simplify (p**(-3/5))**(3/37) assuming p is positive.
p**(-9/185)
Simplify (u**(2/9)*u)**(11/7)*(u/(u*u/u**(-3/5)*u))**24 assuming u is positive.
u**(-19051/315)
Simplify l**(-6)/l*l*l**1/l*l*l**(2/3)*((l*l**(-5))/l)/l assuming l is positive.
l**(-31/3)
Simplify z**(-1/10)*z**(-3)*(z/z**(-1))**(1/19) assuming z is positive.
z**(-569/190)
Simplify (o/o**(2/15))/o**(-14/5) assuming o is positive.
o**(11/3)
Simplify (w**(-7)/((w*(w/(w*w**5))/w)/w))**(-2/13) assuming w is positive.
w**(2/13)
Simplify ((t**(1/7)/t)/((t*(t*t*t**(-4/7))/t*t)/t))**(-3/38) assuming t is positive.
t**(24/133)
Simplify (y**(-2/11)*(y*y/((y/y**(4/3)*y)/y)*y)/y*y*y)/(y/y**(2/3))**(-3/10) assuming y is positive.
y**(1403/330)
Simplify (g/g**(-2))/g**(9/5) assuming g is positive.
g**(6/5)
Simplify ((q**(-5/4)/q*q*q)/q)/q*q*q**(-8)*(q*q**0)/q**(-4) assuming q is positive.
q**(-17/4)
Simplify ((y*y**(-1/9))**(1/37))**(9/4) assuming y is positive.
y**(2/37)
Simplify (i/(i*i**(2/23))*i*i*(i/((i*i**(-4/3))/i*i))/i*i*i)**48 assuming i is positive.
i**(4688/23)
Simplify n/n**(-1/2)*n**(-4/3)*n/(n*n/(n*n**3))*n**(-1/3) assuming n is positiv | {
"pile_set_name": "DM Mathematics"
} |
- 684. What is the tens digit of x?
6
Let n(d) = d**3 - 2*d**2 - 2. Let l be n(3). Let s = 12 - l. Let f = s + -3. What is the units digit of f?
2
Let h = 4 + -6. Suppose 2*r - 17 = w, -2*w - 4*r = 2 - 0. Let a = h - w. What is the units digit of a?
7
Let y(d) = d**3 + 14*d**2 + 13*d + 7. Let r be y(-13). Let i(o) = 2*o - 3. What is the tens digit of i(r)?
1
Let k be (-16)/3 - (-4)/(-6). Let z(n) = -5*n - 8. What is the tens digit of z(k)?
2
Let f be (1/3)/(3/342). Suppose f = 3*z - n, z + 36 = 2*z - 5*n. What is the units digit of z?
1
Let a be -2 + 5 - (-2 + 0). Let o = a - 4. What is the units digit of o?
1
Let z = 42 - 13. What is the tens digit of z?
2
Suppose 0 = -x - 2*v + 13, 4*v - 6 = -x + 13. Let w = x - 2. What is the units digit of w?
5
Let s(u) = u. What is the units digit of s(6)?
6
Let z(p) = 5*p**2 - 4*p - 1. Let a(k) = -9*k**2 + 8*k + 1. Let r(w) = -4*a(w) - 7*z(w). Let g be r(2). Let u = 0 - g. What is the units digit of u?
1
Let u(x) be the second derivative of -1/2*x**2 + 0 + 1/6*x**3 - x. What is the units digit of u(3)?
2
Let n(z) = -z**3 + 7*z**2 + 7*z + 1. Let o be n(7). Let q = o - 24. What is the tens digit of q?
2
Suppose -5*d = z - 3*z + 26, 6 = -2*z - 3*d. Suppose -b + 100 = z*b. What is the units digit of b?
5
Suppose -3*v - 5*l + 10*l + 109 = 0, -v + 4*l = -41. What is the units digit of v?
3
Let z(b) = 2*b**3 - 2*b**2 - 10*b + 2. What is the units digit of z(6)?
2
Let j = 11 - 4. Let q(o) = -4*o**2 - 6*o - 15. Let s(m) = m**2 + 1. Let l(z) = -q(z) - 5*s(z). What is the units digit of l(j)?
3
Let s(d) = -d**3 + 2*d**2 - 4*d + 6. Let q(t) = -t**3 + t**2 - 3*t + 6. Let r(k) = -6*q(k) + 5*s(k). What is the units digit of r(-4)?
2
Let k = -22 + 46. What is the tens digit of k?
2
Let n be 106/(-9) + (-4)/18. Let s be -1 - (-1 - -2) - -21. Let o = n + s. What is the units digit of o?
7
Let j = 123 - 84. Suppose -y + j = 2*y. What is the units digit of y?
3
Let b(a) = -a**3 + 3*a**2. Let z be b(2). Suppose 0 = -0*d + d - z. Suppose -5*l - 2*m = -39, -2*l + d*m - 3*m = -12. What is the units digit of l?
7
Let z = 15 - 12. Suppose 111 = z*s + 18. What is the units digit of s?
1
Suppose -o - 5*p + 0 = -5, -5 = -o - p. Suppose 0*k - 52 = -o*b + 2*k, -2*k - 42 = -4*b. What is the units digit of b?
0
Suppose -5*s + 3*v + 371 = 2*v, 227 = 3*s - 5*v. What is the units digit of s?
4
Let x be 4/(-2) - -12 - 2. Let g(y) = 6*y - 9. What is the tens digit of g(x)?
3
Let d = -134 + 244. What is the hundreds digit of d?
1
Let u(c) = 2*c**2 + 4. Let f be u(3). Let i = f - 8. What is the tens digit of i?
1
Suppose -f = -5*m - 211, -3*m + 6*m - 844 = -4*f. What is the tens digit of f?
1
Let c(b) = 2*b**3 - 43*b**2 + 26*b + 23. What is the tens digit of c(21)?
2
Let l be 2/(-5) + 72/(-20). Let n = 6 + l. Suppose 0 = -4*w + 62 - n. What is the tens digit of w?
1
Suppose -2*g + 5*g + 5*j + 1 = 0, 3*g + 3*j = 9. Let u = g + -5. What is the units digit of u?
3
Let h(i) = -i**3 - i**2 - 2. Let j be h(-2). What is the tens digit of (4/j)/(6/63)?
2
Let z(b) = -b - 7. Let c be z(-5). What is the units digit of 1/c - 19/(-2)?
9
Let y = -9 + 51. What is the tens digit of y?
4
Suppose 3*x + 14 = 5*x + 3*o, -4*x + 16 = 3*o. What is the tens digit of 24/x*1 - -3?
2
Let g be -1*3*(0 + -1). Suppose 0 = g*v + v - 60. What is the units digit of v?
5
Suppose -1279 - 81 = -5*q. What is the tens digit of q?
7
Suppose -3*o - 5 - 1 = 0. Let a = o - -6. Suppose -5*f = 5*l - 35, -l + a*f = 9 + 4. What is the units digit of l?
3
Let p be -2*(-3 - 28/(-8)). What is the units digit of -13*(0 + -1 + p)?
6
Let c(j) = -j**3 + 10*j**2 + j + 9. What is the tens digit of c(10)?
1
Suppose 3*o = 4*j + 1, 3*o - 20 = -o - 4*j. Suppose b = o*b - 26. What is the tens digit of b?
1
Let z(i) = -i**2 - 14*i - 1. What is the units digit of z(-9)?
4
Let u(j) = 28*j**3 + j**2 - j + 1. Let t be 6 + -3 - 2 - 0. What is the tens digit of u(t)?
2
Let c = -10 - -15. Suppose -c*v - 7 = -2. What is the units digit of (v/3)/((-3)/27)?
3
Let u(x) = -15*x - 13. What is the tens digit of u(-3)?
3
Let l be 20/6 - 3/9. Suppose -l*b - 1 = -4. What is the units digit of b?
1
Let h(z) = -26*z + 25. What is the hundreds digit of h(-4)?
1
Suppose 2*a + 0*a - 171 = 5*n, 0 = -2*n + 2*a - 72. Suppose -2*b - 21 = q + 24, -4*b = 3*q + 139. Let r = n - q. What is the units digit of r?
6
Let d(r) = 2*r**2 - 7*r + 2. What is the hundreds digit of d(-6)?
1
Suppose 0 = -5*x - 16 - 4. Let q(h) be the second derivative of -h**4/12 - 7*h**3/6 - 5*h**2/2 + h. What is the units digit of q(x)?
7
Suppose 2*o + 33 = 3*o. What is the units digit of o?
3
Let g = 213 + -119. What is the tens digit of g?
9
Let p(y) = -y**2 - 7*y - 6. Let d be (-1)/(-5) + 78/(-15). Let c = d - -1. What is the units digit of p(c)?
6
Let v = -10 - -4. What is the units digit of ((-4)/v + -4)*-9?
0
Let a = 3 - -11. What is the tens digit of a?
1
Let k = 98 - 0. What is the units digit of k?
8
Let v(a) be the first derivative of a**4/4 - a**3 + 2*a**2 + 7. What is the units digit of v(3)?
2
Let r(h) = -2*h - 10. Suppose -19 + 5 = 2*d. What is the units digit of r(d)?
4
Suppose d = -d + 30. Let v = d - 4. What is the tens digit of v?
1
Let o be (4/2)/(1 - 2). Suppose -3*j = -3 - 0. What is the units digit of ((-4)/(-2) - o) + j?
5
Let l = 2 + 4. Suppose t + 2*t = l. What is the units digit of t?
2
Suppose -4*l - 3 + 15 = 0. Suppose -h + 4 - 1 = p, 0 = -l*p + 6. What is the units digit of h?
1
Suppose 4*q - 6 = 10. Suppose -q*f = -44 - 20. Suppose 0 = -2*c, 2*m = 3*c + 2*c + f. What is the units digit of m?
8
Suppose 0 = 4*z + 2*y - 210, -3*z + 7*z + 3*y = 215. Suppose 3*t - t - z = 0. What is the tens digit of t?
2
Let p(h) = 13*h**2 - h - 5. What is the hundreds digit of p(3)?
1
Suppose 0*p = 3*p - 39. What is the units digit of p?
3
Let k = -4 - 8. Let c = k - -7. What is the units digit of c/2*(-4)/5?
2
Suppose 0 = -3*j - 4*f + 211 + 66, 5 = 5*f. What is the units digit of j?
1
Let u = -9 - -7. Let d(c) = 7*c**3 + 8*c**2 + 8*c + 7. Let q(m) = -13*m**3 - 15*m**2 - 15*m - 13. Let h(w) = 11*d(w) + 6*q(w). What is the units digit of h(u)?
3
Let m be ((-1)/(-1))/((-4)/(-20)). Suppose -l + m*l - 48 = 0. What is the units digit of l?
2
Let z(p) = -p - 8. What is the units digit of z(-11)?
3
Suppose 0*i = -3*i + 924. What is the units digit of (-3)/(-2)*i/33?
4
Let d(y) = -y + 7. Let w be d(6). Let p be (-1 - w)/((-14)/7). Suppose 0 = 5*n + 3*o - 10, -n + 3*o + 1 = -p. What is the units digit of n?
2
What is the units digit of 5*(-28)/(-35)*18/8?
9
Suppose -7*b + 2*b = -3*d + 6, -5*d - 4*b = 27. Let y = d - -11. What is the units digit of y?
8
Suppose -4*z + 165 = 5*g, -4*z + 2*z + 27 = g. Suppose 27 = 5*n + u + 3*u, -5*n + g = -u. Let b(i) = -i**3 + 8*i**2 - 6*i - 5. What is the units digit of b(n)?
2
Suppose 3*w - 30 = -0*w. What is the units digit of ((-12)/w)/((-3)/15)?
6
Suppose -4*d + 4*r = 4, -2*d + 13 + 5 = 2*r. Suppose 10 = a - 4*x, 3*a - 44 - d = 3*x. Let p = 27 - a. What is the units digit of p?
9
Let l(k) = k**3 + 7*k**2 - 3*k + 11. What is the units digit of l(-7)?
2
Suppose -3*u = 4*a + 14 - 69, 0 = 5*a - 3*u - 35. What is the tens digit of a?
1
Suppose j = 4*j. Suppose -5*w = -j*w - 60. Suppose -3*f + 12 = -w. What is the units digit of f?
8
Let y be (3 - 2)*0 - -1. Let d = y + 24. What is the units digit of d?
5
Let v = 58 - 4. What is the units digit of v?
4
Let h(t) = -40*t + 2. Let y be h(2). What is the units digit of 2/(3*(-4)/y)?
3
Suppose 6*r + 576 = 9*r. What is the units digit of r?
2
Suppose 2*u - 4 = -0*u. Suppose -u*s - 105 = -5*s. What is the tens digit of s?
3
Suppose m + 9*h - 26 = 4*h, h = -2*m + 7. Suppose r - m = 38. What is the units digit of r?
9
What is the units digit of 5/((-15)/(-36))*5?
0
Let x be (0/(2/(-1)))/2. Suppose -3 = -q - x. Suppose 30 = 3*p - q. What is the units digit of p?
1
Let u(b) = -2*b + 6 + 2 + b + 0*b. Let t be u(0). Suppose 0 = -t*r + 3*r + 65. What is the tens digit of r?
1
Suppose u + 2*z = -z + 116, -2*u + 232 = 5*z. What is the units digit of u?
6
Suppose -2*f - 63 + 175 = 0. What is the tens digit of f?
5
What is the units digit of 4 + 2*(-86)/(-4)?
7
Suppose 0*n = 7*n - 189. What is the tens digit of n?
2
Let f(u) = -5*u**2 + u. Let a be f(-1). Let s(y) = -5*y - 12. What is the | {
"pile_set_name": "DM Mathematics"
} |
**2 - 2*v. Let d be t(-2). What are the prime factors of d/(-5)*(1000/15)/2?
2, 5
Let t = 8 + -11. Let b = -1 - t. What are the prime factors of (-806)/(-18) - b/(-9)?
3, 5
Let l be (70/(-8))/(3/12). Let u = l + 88. What are the prime factors of u?
53
Let q(l) be the third derivative of l**6/60 - l**5/12 - 5*l**4/24 - 2*l**3/3 + 7*l**2. Let g be q(5). What are the prime factors of (6/4)/(8/g)?
2, 3
Let w = 273 + -228. What are the prime factors of w?
3, 5
Let x(m) = 2*m**3 + 6*m**2 + 3*m - 1. Let r be x(-3). What are the prime factors of (-38)/((8/20)/(26/r))?
13, 19
What are the prime factors of (2 - (-436)/8)/(1/26)?
13, 113
Suppose 0 = 3*h + 12, -h = v - 23 - 80. Suppose v - 1547 = -8*q. What are the prime factors of q?
2, 3, 5
Let m be (-6)/(4/(-4 + 2)). Let i = m + -19. List the prime factors of 36 - (-7)/((-28)/i).
2, 5
Let p(k) be the second derivative of k**5/20 - k**4/12 + k**3/6 + 105*k**2/2 - 4*k. List the prime factors of p(0).
3, 5, 7
What are the prime factors of (-426)/4*432/(-24)?
3, 71
Suppose -10*q + 7*q = 3*j - 4086, -2*q = 3*j - 2727. What are the prime factors of q?
3, 151
Suppose 0 = 1058*x - 1053*x - 5120. What are the prime factors of x?
2
Suppose -47*d + 24642 = -4216. What are the prime factors of d?
2, 307
Let a be (-78)/(-65)*(-10)/(-4). Suppose -3*z + 41 = -19. Suppose 0 = -2*q - a*q + z. List the prime factors of q.
2
Let z(j) = j**3 + 23*j**2 - 38*j + 10. List the prime factors of z(-24).
2, 173
What are the prime factors of (9200/6)/2 + (-29)/(-87)?
13, 59
Let x(n) = -7*n - 20. Let z be x(-8). Suppose m - h - z = 0, -m + 4*h + 40 = h. List the prime factors of m.
2, 17
List the prime factors of (2 + 2)/(15/((-12225)/(-10))).
2, 163
Let w be (-1)/(-1) + 0 + 4 + -4. Let h(t) = 159*t - 2. What are the prime factors of h(w)?
157
Suppose -68*f = -58*f - 18260. List the prime factors of f.
2, 11, 83
Suppose -31*j - 4878 = -40*j. List the prime factors of j.
2, 271
Let w(o) = 232*o**2 - 3*o - 2. Let i be w(-1). Let x = -117 + i. List the prime factors of x.
2, 29
Let p(x) = -5*x + 24. Let l = -3 - 8. List the prime factors of p(l).
79
Suppose a - 6*a = -50. Let c = 0 + 5. Suppose 3*p = p - a, c*f + p = 50. What are the prime factors of f?
11
Let y(j) = j + 7. Let x be y(-14). Let s be 6/21 + 156/x. Let m = 46 + s. What are the prime factors of m?
2, 3
What are the prime factors of 5*(8/10)/(66/12045)?
2, 5, 73
Let t(o) = 2*o**2 - 2*o + 4. Let q be t(2). Let g be (-1)/1*0/q. Suppose g = 2*u - 81 + 29. List the prime factors of u.
2, 13
Suppose t - 5477 = -4*i, 3*t - 549 = -2*i + 2192. What are the prime factors of i?
37
Let h = -19 - -16. Let x be (-4 - h)/(2/(-8)). List the prime factors of (-850)/20*x/(-5).
2, 17
Let i be (9/(-6))/(3/(-12)). Let v(z) = z**2 + 2*z - 9. What are the prime factors of v(i)?
3, 13
Suppose -c + 2*u + 2 = 4*u, 5*c + 4*u = 28. Let h(n) = 4*n + c*n + 4 - 2 - 3*n. What are the prime factors of h(3)?
29
Suppose -49*h + 40*h + 17856 = 0. List the prime factors of h.
2, 31
Let m be (6 + -3)/(9/(-6)). Let c be m/(-12) + 11/6. Suppose 4*n - 131 = -3*j, 0*n + 34 = n + c*j. List the prime factors of n.
2
Let k(v) = 14*v + 6. Suppose 4*y - 3 - 5 = 0. Let r(w) = 3*w + 1. Let f(z) = y*k(z) - 11*r(z). What are the prime factors of f(-3)?
2
Let l(g) = g**3 - 5*g**2 + 7*g - 4. Let y be l(4). Let d be 7/(28/40) - -1. Let p = y + d. List the prime factors of p.
19
Let n(j) = 19*j**3 - 8*j**2 + 10*j + 23. What are the prime factors of n(4)?
1151
Let p(z) = 37*z + 735. What are the prime factors of p(0)?
3, 5, 7
Let v(a) = 2*a + 2. Let p be v(2). Let f = p + 8. Suppose 11 = b - f. What are the prime factors of b?
5
Let j(r) = -27*r + 27. Let v be j(-3). Suppose -v + 276 = 2*t. What are the prime factors of t?
2, 3, 7
Let i = 181 + -127. Let d = -32 + i. List the prime factors of d.
2, 11
Let p = 579 - 392. What are the prime factors of p?
11, 17
Suppose -4*h + 13 = -7. Suppose -j + h*i - 3 = 0, i = -3*i + 4. Suppose -2*a = -j*w - 2*w + 56, -w + 4 = 2*a. List the prime factors of w.
2, 3
Let d be (-12 - 48)/(-2 + 0). Suppose 29*b = d*b - 216. List the prime factors of b.
2, 3
Let l(z) = -4*z**2 + 10*z - 6. Let j(y) = -y**2 + 1. Let h(f) = -3*j(f) + l(f). Let x be h(8). Suppose -x = -t + 9. List the prime factors of t.
2
Suppose 8*o = 36 - 12. Suppose -o*i + 168 = -0*i. List the prime factors of i.
2, 7
Suppose -t + 328 = 2*m, -2*m + 7*m = -4*t + 1309. What are the prime factors of t?
2, 163
Suppose 0 = -2*i - 0*i + 4. Suppose i*r - 7*r - 20 = 0. List the prime factors of (-8 - r) + 2 + 11.
3
List the prime factors of (6*2/16)/(2/1632).
2, 3, 17
Let o be -634*2/10 + (-7)/35. Let m = o + 320. List the prime factors of m.
193
List the prime factors of 2168/(3*(-8 + 98/12)).
2, 271
Suppose -2*f + 12 = 4*l, 5*l = -5*f - 1 + 6. What are the prime factors of 9/(-3)*-63 - 0/f?
3, 7
Suppose 0*m + 4*m - 5*b = 73, -2*m = -2*b - 34. Let a = m - -33. What are the prime factors of a?
3, 5
What are the prime factors of (-80880)/160*(-28)/3?
2, 7, 337
Let j(l) = 2 + 11 - 6*l - 7*l + 0. List the prime factors of j(-3).
2, 13
Let z = -290 - -335. What are the prime factors of z?
3, 5
Let s(p) = -342*p - 5. List the prime factors of s(-2).
7, 97
Let y(x) = x**3 - 2*x**2 - 4*x + 5. Let p = 5 + -2. Suppose p*w + 8 = 5*w. What are the prime factors of y(w)?
3, 7
Suppose 272*h - 96836 = 229*h. List the prime factors of h.
2, 563
Let a = 14 + -5. Suppose 383 = a*m - 112. List the prime factors of m.
5, 11
Suppose 10*l - 5*q - 815 = 9*l, 3236 = 4*l + 4*q. List the prime factors of l.
2, 3, 5
Let t(z) = z**2 - 7*z - 2. Let y be t(6). Let c = -1 + y. Let v(u) = u**2 + 7*u + 2. What are the prime factors of v(c)?
2, 5
Let x(t) = -t**3 + 13*t**2 - 13*t + 17. Let i be x(12). Suppose -i*s + 410 = -0*s. List the prime factors of s.
2, 41
Let d = -13 + -17. Let v = d + 2. What are the prime factors of (3 + -1)/((-4)/v)?
2, 7
Let u be (-5)/(-3) - 1/(-3). Suppose u*v + 8 = -n + 22, -v + n + 1 = 0. Suppose 2*o + 72 = v*o. What are the prime factors of o?
2, 3
Suppose 0 = 5*s - s - 16. Suppose l - 79 = -2*n, 280 = -0*l + 4*l - 4*n. Suppose -4*g + b + l = -3, 4*b - 96 = -s*g. What are the prime factors of g?
2, 5
Let q(u) = 13*u**2 + 24*u + 6. What are the prime factors of q(-8)?
2, 17, 19
What are the prime factors of (2*-150)/(5 - 963/189)?
2, 3, 5, 7
Suppose 4*v - 87 = -5*k, -2*k + 5*v - 75 = -6*k. Let b = -8 - 1. Let u = k - b. List the prime factors of u.
2, 3
Let t(n) = 31*n**3 - 3*n**2 + 16*n - 120. What are the prime factors of t(5)?
2, 5, 47
Let u be ((-1)/(-2))/(2/4). Suppose 3*c = 2*l - 14, 3*c - 7 + u = -3*l. List the prime factors of (0 + 172/16)*l.
43
Let h(u) = 19*u - 51. Let t(g) = -9*g + 25. Let c(i) = -4*h(i) - 9*t(i). Let w be c(6). Let p(z) = -z**3 + 10*z**2 - 3*z - 11. List the prime factors of p(w).
43
Let t be 5257/49 + (-6)/21. Suppose -2*p + 51 = -t. List the prime factors of p.
79
Suppose 40 = 4*x + 5*w, -x - 3*w - 2*w + 25 = 0. Let r(g) = 42*g + 2. Let b be r(4). Suppose x*q = -0*q + b. What are the prime factors of q?
2, 17
Let g(h) = -h + 5. Let q(y) = -1. Let l(x) = -g(x) - 3*q(x). Let d be l(9). Suppose 2*m - 3 - d = 0. List the prime factors of m.
5
List the prime factors of (-3 - -1007)/(0 - -2).
2, 251
Suppose 61 = -2*l - 119. Let t = -57 - l. List the prime factors of t.
3, 11
Let u(t) = -325*t**2 + 12 + 10 + 326*t**2 + 14*t. List the prime factors of u(-15).
37
Suppose 11 = j + y, 7 - 16 = -j - 3*y. Let z be 12/(-72) - (-62)/j. Suppose -z*u + u = -172. What are the prime factors of u?
43
Let x be (-5)/(45/(-24))*6/4. Suppose 0 = -x*k - 257 + 913. List the prime factors of k.
2, 41
Suppose 0*j = -3*j + 12. Suppose -a = -l + 2*l + 38, j = -2*a. What are the prime factors of -68*3/l*3?
17
Let t be 15/5 + 0 + 12. Let w = t + -19. Let d = 6 + w. List the prime factors of d.
2
Suppose 182*f = 196*f - 29050. List the prime factors of f.
5, 83
Let g be -24*3/((-36)/51). Let c = g - 40. List the prime factors of c.
2, 31
Suppose 3*o - 2*o = 1. Suppose 3*j = 2*j - 4*f + 17, f = -2*j - o. Let c(w) = 5*w**2 - 4*w - 3. List the prime factors of c(j).
2, 3
Let o = 84 - 50. Suppose 5*v - 3*p = 92 + o, 5*p = -5*v + 110. Suppose 0 = -v*u + 27*u - 96. What are the prime factors of u?
2
Suppose -4*i + 8*h - 3*h + 23 = 0, -4*i - | {
"pile_set_name": "DM Mathematics"
} |
Let w = t - 20237144. Let g = w + -14. Round g to five dps.
-0.00006
Let h = 0.0795 + -0.062. What is h rounded to 3 dps?
0.018
Suppose 8*d = 6*d + 25200000. Round d to the nearest 1000000.
13000000
Suppose z + 125 = -4*z. Let g be (-15)/z + (-794)/(-10). What is g rounded to the nearest 100?
100
Let m = 104 - 153. Let q = -42.9 - m. What is q rounded to zero decimal places?
6
Let j be 5045 + 4/((-12)/15). What is j rounded to the nearest 1000?
5000
Let m = 12 - -22. Let b = m - 34.82. Round b to one dp.
-0.8
Let p = 46.1 - 41. Round p to 0 dps.
5
Let r = -43 - -81.3. Let h = r - 25. Let d = h + -3. What is d rounded to the nearest integer?
10
Let z(t) = -t**2 + 7*t + 11. Let k be z(8). Suppose -k*i + i + 4 = 0. Suppose -3*d + r - 43 = -4*d, 4*r = i*d - 110. What is d rounded to the nearest 10?
50
Let n = 52 - 129. Let s = 50 + n. Let o = s - -26.99999885. What is o rounded to 7 dps?
-0.0000012
Let m(y) = -617*y**3 - 6*y**2 - 4*y + 5. Let g be m(-5). Round g to the nearest 10000.
80000
Let g = -4842 + 4833.996. Let s = g - -8. Let h = -0.00400059 - s. What is h rounded to seven dps?
-0.0000006
Let z = 51.077 - 0.077. Let v = 50.9878 - z. What is v rounded to 3 dps?
-0.012
Let w = -1 + 0.625. Let m = 5.31 - 5. Let g = w + m. Round g to 2 decimal places.
-0.07
Let l = 52.999999 - 53. Round l to five decimal places.
0
Suppose -5930 = -3*k + 2080. What is k rounded to the nearest 100?
2700
Let z = -30 - -27.6. Let r = z - 0.1. What is r rounded to zero decimal places?
-3
Let p = 53 - 184. Let b = p - -88. Let u = b + 43.000037. What is u rounded to 5 decimal places?
0.00004
Let n = -3.22161 - -3.22. Round n to 3 dps.
-0.002
Suppose 5*x - 1785 = 2*s, -2*s - x - 1534 = 221. What is s rounded to the nearest one hundred?
-900
Let y = -211.98936 - -212. Let b = -0.27 + 0.28. Let u = b - y. Round u to 4 dps.
-0.0006
Let x = 0.112 - 0.1. Let m = 0.01200108 - x. What is m rounded to 7 dps?
0.0000011
Let j = 8.79 + -1.09. What is j rounded to the nearest integer?
8
Suppose -3*v + 4 - 16 = 0, -u - 32008 = 2*v. Round u to the nearest one thousand.
-32000
Let s(y) be the second derivative of -29*y**5/20 + y**4/6 - y**3/6 - 2*y**2 + 3*y. Let w be s(-3). What is w rounded to the nearest 1000?
1000
Suppose 2*p - 2*t + 14 = 0, 4*p - 9 + 38 = 5*t. Let k be 3/((-45)/p)*-5. Let o be (-4 + 3)/(k/(-166)). What is o rounded to the nearest 10?
-80
Let g = -1945965 + 4105746. Suppose 2*x + 2*x + z + 8639109 = 0, x = -z - g. Let r = x + 1199776. Round r to the nearest one hundred thousand.
-1000000
Let b = 1 + -3. Let x be (0 - 1)/(b/246). Let g = x + -73. Round g to the nearest 10.
50
Let y = 9.694 - 0.214. Let c = 8 - y. Round c to one dp.
-1.5
Suppose 7*p = p. Suppose 4*j + 0*j + 764020 = 5*a, p = j - 4*a + 191016. Round j to the nearest 10000.
-190000
Suppose 4*r - 5*l = -13090, -2*l = -11*r + 6*r - 16354. Round r to the nearest one thousand.
-3000
Let i = -165 + 103. Let d = 137171354.999939 - 137171293. Let m = i + d. Round m to five dps.
-0.00006
Let b = -1643209 - -623209. What is b rounded to the nearest one hundred thousand?
-1000000
Let d = 2.43 - 0.89. Let r = 0.06 + d. What is r rounded to 0 decimal places?
2
Let o = -0.068 + -1.252. Let r = 0.22 + o. Let c = -1.0999877 - r. What is c rounded to six decimal places?
0.000012
Let a = 37.2 + -5.2. Let d = a - 31.9999971. What is d rounded to six dps?
0.000003
Let t = 682.999999453 + -683. What is t rounded to seven decimal places?
-0.0000005
Suppose -5*d = -4*q + 2474, q - 3*d = -0*q + 615. Let t = -51 + q. What is t rounded to the nearest one hundred?
600
Suppose -3*z = -5*z - 5000. What is z rounded to the nearest one hundred?
-2500
Let b be (-16)/6*127500/10. Round b to the nearest ten thousand.
-30000
Let x = -26.1 - -4.8. Let g = x + 20. Let w = g - -1.299991. What is w rounded to 6 dps?
-0.000009
Let g = 713.996 - 712. Let r = 5 + -3. Let p = g - r. What is p rounded to three dps?
-0.004
Let h = 7.8 + -7.834. What is h rounded to 1 decimal place?
0
Let p = 0.0590092 - 0.059. What is p rounded to 6 decimal places?
0.000009
Let c = -1355 + 245. Let v be (898 - -2)/(9/c). Round v to the nearest ten thousand.
-110000
Suppose -2*a = -4*j + 62253042, -27690713 = 4*j - 3*a - 89943758. Suppose j = 2*t - 13815359. Let z = t - 20789309. What is z rounded to the nearest 1000000?
-6000000
Suppose 13 - 3 = 5*h. Let b(v) = 154443*v**h + 1 + 1 + 2 - 3*v. Let t be b(-3). Round t to the nearest one hundred thousand.
1400000
Suppose 2*m - 448 - 40 = p, 0 = 2*p + 2*m + 1006. What is p rounded to the nearest one hundred?
-500
Let j = 8825425 - 8825432.0000008. Let o = -7 - j. What is o rounded to 6 decimal places?
0.000001
Let i = -1 - -1.4. Let d = 48484 + -48484.4000064. Let v = i + d. Round v to six dps.
-0.000006
Let h = -8 - -7.2. Let z = h - -1.5. Let u = z - 0.70002. What is u rounded to 5 dps?
-0.00002
Let s = -20.99999958 - -21. What is s rounded to 7 decimal places?
0.0000004
Let r = 3.529 - -0.331. Let y = -4.053 + r. Round y to 2 decimal places.
-0.19
Let s = -30.968 - 0.032. Let w = s - -31.000105. Round w to 5 dps.
0.00011
Let f(l) = -62*l - 7. Let g be f(-2). What is g rounded to the nearest ten?
120
Let l = -16 - -3. Let r = -12.84 - l. What is r rounded to one dp?
0.2
Suppose -3*z = 316000 + 1784000. What is z rounded to the nearest one million?
-1000000
Let p = -6 + 6.224. Let d = -1.434 + p. Let m = d + 0.33. What is m rounded to 1 dp?
-0.9
Suppose 3*k = -3*t + 213, -k + 5*t + 34 = -25. What is k rounded to the nearest 10?
70
Let r(d) = -8616*d**3 + 6*d**2 - 8*d - 9. Let x be r(7). Let s = 10455059 + x. What is s rounded to the nearest 1000000?
8000000
Let q = 16 - 15.89. Let a = -0.1098 + q. Round a to three decimal places.
0
Suppose 2*f = 3*z + 47, 3*f + 3*z = -0*z + 93. What is f rounded to the nearest ten?
30
Let w = -5.3 + 3.7. What is w rounded to one decimal place?
-1.6
Suppose -4*s - 4*o + 51384 = 0, 3*o + 0*o - 51384 = -4*s. Let d = -3146 + s. What is d rounded to the nearest 1000?
10000
Let y be 0 + 0 + 40997 + 3. What is y rounded to the nearest ten thousand?
40000
Let f be 1/2 - 18/12 - -44001. Round f to the nearest 10000.
40000
Let c = 8.34 - 8. Let t = c - 0.425. What is t rounded to 2 dps?
-0.09
Let f = 9 - 12. Let s = 3524.478949 + -3521.479. Let g = f + s. What is g rounded to five dps?
-0.00005
Let n be (-3 + -1 + -58)*-200. Suppose 0*k + 4*k - n = 0. What is k rounded to the nearest one thousand?
3000
Suppose 840 = -0*q + 3*q. Suppose q + 40 = 2*i. What is i rounded to the nearest 100?
200
Let i = 3.7 + -3.7095. Round i to 3 decimal places.
-0.01
Let w(m) = -22562*m**2 - 527437*m**2 - 4*m + 0*m. Let a = 2 - -2. Let s be w(a). Round s to the nearest one million.
-9000000
Let i = 674 + -114. Suppose 2*x - 2804 = 4*p, 2*x - 3851 = -3*p - 1054. Suppose 0 = 5*r + 2*j + 3*j + x, -i = 2*r + 3*j. Round r to the nearest 100.
-300
Let o = 5.00017 + -5. What is o rounded to 4 decimal places?
0.0002
Let s = 25888244 - 13422362. Let x = 12465882.06200029 - s. Let i = x + -0.062. What is i rounded to seven dps?
0.0000003
Suppose -3 = -2*d + 1. Let v(i) = 6*i + 8*i - 4 - 42594*i**3 - 7*i**d - 6*i. Let x be v(-6). What is x rounded to the nearest 1000000?
9000000
Let v = 22 + -21.932. Let w = v + 29.932. Let c = 30.0000021 - w. Round c to 6 decimal places.
0.000002
Suppose r - 4*t = 6*r - 1223, -r = -3*t - 237. What is r rounded to the nearest 10?
240
Let k = -110.00000177 - -110. Round k to 7 decimal places.
-0.0000018
Let w = 4.5 + -4.499982. Round w to five decimal places.
0.00002
Let b = 3 - 0. Suppose -b*v - v = -220000. Suppose 0*o - v = o. What is o rounded to the nearest ten thousand?
-60000
Let v = -12.6 + -0.2. Let l = v - -12.7999943. What is l rounded to six dps?
-0.000006
Let v = 10.1187 + -8.228. Let q = 1.9 - v. What is q rounded to three dps?
0.009
Suppose -20 + 1 = m - 3*w, -m - 3*w = -11. Let r = m - -7. Suppose 3*p + r*n = n - 22492, 2*p = n - 15004. Round p to the nearest one thousand.
-8000
Let l = -5 - -5. Suppose b = 3 - l. Suppose -3*q + 866172 = b*w + 61766181, 4*w - 3*q = -81199991. What is w rounded to the nearest 1000000?
-20000000
Let d = -0.058 - -0.05756. What is d rounded to four decimal places?
-0.0004
Let q = 9.6946 - 0.0346. Let y = 0.86 - q. Let z = -10 - y. Roun | {
"pile_set_name": "DM Mathematics"
} |
0). Let j(p) be the first derivative of 41 + x*p**2 + 0*p. Let b(y) = -35*y. Determine b(j(c)).
-35*c
Let p(a) = -1696276*a**2. Let u(v) = 5*v**2. Calculate u(p(k)).
14386761340880*k**4
Let h(c) = -2070762*c + 12830. Let o(n) = -1291*n + 8. Let v(t) = -4*h(t) + 6415*o(t). Let w(f) = -10*f. What is w(v(y))?
-12830*y
Let l(q) be the first derivative of -q**2 + 4. Let a(f) be the third derivative of -95*f**4/3 + 111*f**2 - 3*f. Determine a(l(n)).
1520*n
Let n(w) be the second derivative of w**6/180 - 31*w**3/6 + 31*w. Let s(p) be the second derivative of n(p). Let g(l) = 11*l - 6. Determine s(g(t)).
242*t**2 - 264*t + 72
Let p(i) = 42*i**2. Let t(d) = -d**2 - 4*d - 32. Let b(l) = -5*l - 40. Let n(o) = 4*b(o) - 5*t(o). Give n(p(w)).
8820*w**4
Let g(i) = 73*i**2. Let r(m) = -17*m**2 - 9*m - 221. Let k(d) = -8*d**2 - 5*d - 102. Let x(u) = 13*k(u) - 6*r(u). Calculate x(g(o)).
-10658*o**4 - 803*o**2
Let a(b) = -260*b**2. Let q(o) = 7*o + 6. Let k(u) = 64*u + 56. Let c(j) = -3*k(j) + 28*q(j). Calculate a(c(f)).
-4160*f**2
Let k(r) be the first derivative of -3*r**2/2 + 279*r - 338. Let m(l) = -3*l. Calculate k(m(h)).
9*h + 279
Let y(z) = 2*z**2 + 20*z. Let r(f) = -39*f + 6. Determine y(r(l)).
3042*l**2 - 1716*l + 192
Let p(h) = -10263132*h. Let w(f) = f. Determine p(w(s)).
-10263132*s
Let i(s) = -1773*s + 3543*s - 1792*s. Let y(m) = 13*m. What is y(i(r))?
-286*r
Let p(a) = -2*a**2 + 4*a. Let g(n) be the third derivative of 7*n**5/30 - 433*n**2 - 3*n - 2. Give g(p(j)).
56*j**4 - 224*j**3 + 224*j**2
Let k(n) = -430*n**2. Let t(v) be the third derivative of -v**4/6 - 1279*v**2. Determine k(t(o)).
-6880*o**2
Let q(u) = -u**2 + 23305551. Let z(g) = -g. Give z(q(j)).
j**2 - 23305551
Let d(r) = 41*r - 137. Let y be d(8). Let s(m) = y*m + 12*m**2 - 191*m. Let j(w) = 2*w**2. Calculate j(s(v)).
288*v**4
Let r(k) = -3*k. Let b(t) be the second derivative of t**4/6 - 232*t**2 - 8*t - 69. Determine b(r(u)).
18*u**2 - 464
Let j(v) = -v**2 + v**2 + v**2. Let c be 29/((-232)/(-9600)) - (-5)/1. Let x(m) = -1205 + c + 30*m**2. Give j(x(u)).
900*u**4
Suppose -2*v - 26*r - 15 = -21*r, -3 = v + r. Let x(j) be the third derivative of 0*j + 0 + 26*j**2 + v*j**3 - 1/4*j**4. Let z(q) = 6*q**2. Give x(z(d)).
-36*d**2
Let y(h) be the third derivative of -h**5/30 - 307*h**3/6 - 29*h**2 - 5*h. Let o(k) = 4*k. Calculate o(y(t)).
-8*t**2 - 1228
Let j(h) be the second derivative of -h**3/6 + 22*h - 35. Let r(a) = 634*a**2 - 3*a - 2. Calculate r(j(n)).
634*n**2 + 3*n - 2
Let g(h) = -147 + 147 - 617*h + 1206*h - 613*h. Let m(k) = 14*k**2. Determine m(g(j)).
8064*j**2
Let q(v) = -49*v. Let p(w) be the second derivative of w**4/12 - 698*w. Give q(p(r)).
-49*r**2
Let t(b) = 237*b + 34. Let v(r) = -3*r. Let p(q) = t(q) + 3*v(q). Let n(k) = -91*k - 14. Let h(w) = 12*n(w) + 5*p(w). Let s(c) = 2*c**2. Determine h(s(i)).
96*i**2 + 2
Let r(i) = 3*i. Let l = -525 + 3425. Suppose 2*a + 15 = -3*a, -4*a = 4*o - 11588. Let z(g) = -o + l - 16*g. Determine r(z(q)).
-48*q
Let u(o) = 76*o - 3265. Let t be u(43). Let n(w) be the first derivative of 0*w + 5/3*w**t + 0*w**2 + 22. Let v(d) = -2*d. Calculate v(n(s)).
-10*s**2
Let b(a) = 102*a**2. Let o(y) = 11*y + 180. Let u(l) = 5*l + 80. Let c(n) = 16*o(n) - 36*u(n). Determine b(c(k)).
1632*k**2
Let w(v) = 5*v. Let g(r) = 49732719*r**2. What is w(g(f))?
248663595*f**2
Let m(q) = 33*q**2 + 5*q + 5. Let u(c) = 49*c**2 + 8*c + 8. Let o(b) = -8*m(b) + 5*u(b). Let t(l) = -82*l - 316*l + 397*l. Calculate t(o(p)).
19*p**2
Let p(j) be the second derivative of -8*j + 0 + 0*j**2 - 1/6*j**3. Let z(t) = -9*t - 6. Let u(i) = 26*i + 17. Let w(d) = 6*u(d) + 17*z(d). Determine p(w(k)).
-3*k
Let n(h) = -117436*h. Let d(y) = 11*y - 7. Determine d(n(u)).
-1291796*u - 7
Let j(k) = -379603*k + 8. Let m(s) = 2*s**2. What is j(m(q))?
-759206*q**2 + 8
Let l(v) = -3*v. Let t(d) = -51*d + 19. Let r(u) = -18*u + 6. Let x(q) = 21*r(q) - 6*t(q). Let a(s) = -s + 2. Let f(j) = 6*a(j) - x(j). Determine l(f(k)).
-198*k
Let x(r) = -5*r - 2. Let z(h) = -6*h - 3. Let y(k) = 3*x(k) - 2*z(k). Let v(p) be the first derivative of 0*p - 15/2*p**2 - 4. What is y(v(c))?
45*c
Let f(d) = 485 + 61879*d**2 - 485 - 61898*d**2. Let g(c) = 448*c. Give g(f(y)).
-8512*y**2
Let f(s) = -2382*s**2 + 7*s. Let w(k) = 1035*k. Determine w(f(a)).
-2465370*a**2 + 7245*a
Let b be -5 + 16/(112/441). Let m(c) = -129*c + b*c + 72*c. Let a(u) = 584*u**2. Calculate a(m(q)).
584*q**2
Let v(p) = -297*p. Let b(z) = 3*z - 100. Let k(t) = -5*t + 175. Let u(o) = -7*b(o) - 4*k(o). Determine v(u(a)).
297*a
Let r(q) = -q**2 - 995. Let k(a) = 143331*a. Give k(r(i)).
-143331*i**2 - 142614345
Let s(b) be the first derivative of -2*b**3/3 + 7894. Let x(g) = -622*g + 1. Determine x(s(n)).
1244*n**2 + 1
Suppose 0 = -4*v - 0*v. Let z = 266 + -262. Let x(h) = v*h + 2*h - z*h - h. Let l(b) = 8*b. Determine x(l(c)).
-24*c
Let t(i) be the second derivative of 135*i**4/4 - 333*i - 3. Let y(k) = 4*k. Determine y(t(n)).
1620*n**2
Let t(k) = 8*k. Let b(n) = 396*n + 4. Let j be b(1). Let z(q) = 407 - 807 + 19*q + j. What is t(z(g))?
152*g
Let g(b) be the first derivative of 38*b**3 + 150. Let c(v) = 39*v - 11*v - 14*v - 13*v. What is c(g(q))?
114*q**2
Let q be ((-60)/(-24))/((-1)/2). Let o = q - -17. Let w(f) = -19 + o + 7 + f. Let s(c) = -4*c. Determine w(s(v)).
-4*v
Let r(a) = -37*a + 31. Let z(q) = 370*q - 201*q - 171*q. What is z(r(n))?
74*n - 62
Suppose 10*c - 1 = 9*c. Let b = 4 + c. Let x(i) = -3 + 3 - 2*i - b. Let v(n) = -2*n**2. Give x(v(p)).
4*p**2 - 5
Let h be (-144)/108 - (-10)/3. Let y(n) = -h*n + 414 - 414. Let j(i) = -34*i + 1. Determine j(y(f)).
68*f + 1
Let q(u) = u + 1. Let w be 1 + -6 - (-11 + 3). Let i = -1 + w. Let j(l) = -12*l**i - 5*l**2 + 22*l**2 - 7*l**2. Give j(q(h)).
-2*h**2 - 4*h - 2
Let f = -788 + 848. Let z(o) = -36 - 3*o - f + 96. Let u(l) = -l**2 - 1. Let s(n) = -20*n**2 + 1. Let m(p) = -s(p) - u(p). What is z(m(x))?
-63*x**2
Let l(p) = -26*p + 3 + 73*p + 34*p - 4 - 5. Let t(j) = -3*j. Give t(l(x)).
-243*x + 18
Let j(y) = -53*y + 12. Let l(o) = 52*o - 10. Let b(d) = 5*j(d) + 6*l(d). Let f(q) = 2*q**2. Let c(s) = -s**2. Let n(m) = 9*c(m) + 4*f(m). Give b(n(r)).
-47*r**2
Suppose -38*v = -35*v + 30. Let r be (4/5)/(v/(-25)). Let q(n) = -10*n**2 + 4*n**2 + 2*n**r. Let a(c) = -2*c**2. Give q(a(x)).
-16*x**4
Let f(z) = -374*z - 374*z + 749*z. Let u(w) = 243*w. Give u(f(r)).
243*r
Let k(j) = -43*j. Let v(p) = -7*p - 553585. Determine v(k(r)).
301*r - 553585
Let w(i) = -2*i**2 + 62. Let t(k) be the third derivative of 17*k**4/24 - 882*k**2. Give t(w(c)).
-34*c**2 + 1054
Let x(r) = -1856*r. Let t(s) = 17*s - 12*s - 4*s + 6*s. What is t(x(d))?
-12992*d
Suppose 4*q + 4*t - 33 = 163, -2*t + 142 = 3*q. Let u(b) = 99*b + 44 - q. Let n(x) = x. Give n(u(s)).
99*s
Let q(y) be the second derivative of y**3 + 80*y. Let i(p) = 426 - 213 + 3*p - 213. Determine q(i(n)).
18*n
Let u(i) = 2*i**2 - 60. Suppose d - 108 = -z, 3*d + 110 = -z + 444. Let a(g) = -113*g + 227*g - d*g. What is a(u(o))?
2*o**2 - 60
Let p(d) = -d**2. Suppose -392 = -108*n - 97*n + 18. Let x(k) be the second derivative of -33*k + 0*k**n + 0 - 5/6*k**3. Determine p(x(v)).
-25*v**2
Let f(l) = 2*l. Let b(x) = 56*x**2 - 3*x - 9. Let d be b(-3). Let n(z) = -254*z**2 - 98 + d*z**2 - 248*z**2. What is n(f(t))?
8*t**2 - 98
Let r be (-21409)/(-1897) - (-4)/(-14). Let q(g) be the second derivative of 7/6*g**3 + 0 + 0*g**2 - r*g. Let a(j) = 4*j**2. Give q(a(x)).
28*x**2
Let h(d) = d - 38. Let z(j) = 4*j - 136. Let c(u) = -5*h(u) + z(u). Let b(n) = 10*n**2. What is b(c(r))?
10*r**2 - 1080*r + 29160
Let k(f) be the second derivative of f**3/3 + 157*f. Let d(b) = 36*b**2 + 10 + 8 - 16. Determine d(k(n)).
144*n**2 + 2
Let z(f) = -17*f. Let s(y) = 421*y. Let t(o) = -10572*o. Let k(n) = -153*s(n) - 6*t(n). What is z(k(q))?
16677*q
Let x(q) be the first derivative of 24*q**2 + 1057. Let p(v) = 7*v. Calculate p(x(s)).
336*s
Let w(x) = 55*x - 9*x - 13*x - 17*x - 12*x. Let m(i) = -26*i**2 + 15. Calculate m(w(g)).
-416*g**2 + 15
Let d(j) = 2484379*j. Let b(m) = -6*m + 26. What is b(d(c))?
-14906274*c + 26
Let d(l) be the third derivative of 0*l**3 + 0 - 170*l**2 + 0*l + 0*l**4 - 11/60*l**5. Let f(m) = -3*m. What is f(d(s))?
33*s**2
Let n be ((-52)/(-20))/((-2)/(-10)). Let i(o) = 29*o** | {
"pile_set_name": "DM Mathematics"
} |
s + 7*s + 6*s. Let c(p) = -p + 1602. Determine n(c(b)).
-b + 1602
Let d(q) be the second derivative of 2*q**3/3 - 5*q**2 + 121*q. Let i(o) = -o + 3. Let v(t) = 6*d(t) + 20*i(t). Let m(h) = -4*h**2. Calculate v(m(n)).
-16*n**2
Let t(f) = -9*f - 38. Let r = 43 + -49. Let n be t(r). Let s(a) = n*a**2 - 5*a**2 - 4*a**2 - 5*a**2. Let m(v) = v - 37. Give m(s(z)).
2*z**2 - 37
Let a(o) = -3*o**2. Let f(b) = -156*b - 98*b + 112*b + 114*b - 286*b. Calculate a(f(n)).
-295788*n**2
Let c(x) = 7 + 3944*x**2 - 7912*x**2 + 3986*x**2. Let u(r) = 12*r. Give c(u(g)).
2592*g**2 + 7
Let k(r) = 653346*r + 8. Let a(c) = 9*c. What is a(k(s))?
5880114*s + 72
Let l(v) = 4*v. Let r(h) be the first derivative of 190*h**3/3 - 390. Give r(l(t)).
3040*t**2
Let t(s) = -95*s**2 + 1. Let f(k) = 19*k**2 + 4. Let y(z) = 77*z**2 + 16. Let w(g) = -4*f(g) + y(g). Give t(w(j)).
-95*j**4 + 1
Let i(n) = -n**2. Let b(t) = 59*t - 4812345. Determine b(i(p)).
-59*p**2 - 4812345
Let o(r) = r**2 + 855*r - 8297. Let k(q) = -3*q. What is k(o(t))?
-3*t**2 - 2565*t + 24891
Let d(u) = 18 - 73*u + 160*u + 124*u - 18. Let y(b) = -b. Calculate d(y(m)).
-211*m
Let g(y) = 29*y**2. Let s(h) = 2165471*h**2. What is s(g(l))?
1821161111*l**4
Let c(t) = 1767*t. Let y(n) = 8157*n**2. Determine y(c(a)).
25468511373*a**2
Let w(t) = -90*t**2. Suppose 11*j - 4*i + 2 = 10*j, -2*i + 8 = 3*j. Let h(m) = -2*m + 28*m**2 + j*m + 33*m**2 - 60*m**2. Determine w(h(b)).
-90*b**4
Let r(f) = -16988817*f. Let a(h) = -2*h**2. Calculate a(r(d)).
-577239806118978*d**2
Let v(y) = -28*y + 42. Let t(n) = 2977*n + 2. What is t(v(q))?
-83356*q + 125036
Let t(u) = -2*u**2 + 20*u. Let v(l) = -7191*l. Give t(v(f)).
-103420962*f**2 - 143820*f
Suppose 31 + 131 = 18*u. Let g(q) = -13*q + 9. Let w(z) = 6*z - 4. Let f(s) = u*w(s) + 4*g(s). Let a(k) = -8*k - 1. Calculate a(f(h)).
-16*h - 1
Let t = 386 - 329. Let j(k) = 325 + t*k - 325. Let q(r) = -2*r**2. Calculate q(j(z)).
-6498*z**2
Let v(a) = 3 - 6 + 3 + 855358*a**2 - 855280*a**2. Let t(q) = 21*q - 3. Calculate t(v(g)).
1638*g**2 - 3
Let v(q) = 15*q. Let o(h) = -40*h**2 - 34428*h. Give o(v(y)).
-9000*y**2 - 516420*y
Let p(d) = 2*d**2 + 21. Let g(f) be the third derivative of 19*f**4/8 + 6757*f**2. Calculate p(g(o)).
6498*o**2 + 21
Let a(m) = 2*m - 1. Let n(z) = -7 - 4 - 3*z + 7 + 6. Let k(f) = 2*a(f) + n(f). Let s(c) = 8*c. Determine k(s(y)).
8*y
Let k(s) = 11*s - 60. Let c(a) = 175*a - 945. Let y(z) = -4*c(z) + 63*k(z). Let g(n) = 91*n**2. Determine g(y(p)).
4459*p**2
Let y(x) = 754*x**2. Let z(j) = -14761*j**2. Calculate y(z(v)).
164286889234*v**4
Suppose -10*g = 7*g - 34. Let j(u) = -2*u - 5*u**2 - u**2 + g*u. Let s(m) = 4*m**2. Determine j(s(l)).
-96*l**4
Let o(v) = -61998*v. Let k(n) = -2*n**2 - 122. Determine o(k(y)).
123996*y**2 + 7563756
Let k(c) = -56*c**2 + 25*c**2 + 4 + 25*c**2 - 4. Let a(o) = 243*o. What is k(a(w))?
-354294*w**2
Let s(h) = -31466110*h + 31466110*h - 6*h**2. Let z(l) be the first derivative of 0*l + 1 - 7/2*l**2. Give z(s(t)).
42*t**2
Let s(l) = 20*l**2. Let u(y) be the first derivative of 6043 - 2*y**3 - 6099 + 3*y**3. Determine s(u(j)).
180*j**4
Let j(z) = z**2. Suppose 0 = -36*l - 1282 + 1822. Let n(f) be the first derivative of 0*f + 0*f**2 - 10/3*f**3 + l. Give j(n(t)).
100*t**4
Let o(n) = -14*n**2. Let z(u) = 219069*u - 31. Determine z(o(r)).
-3066966*r**2 - 31
Let w(d) = -54*d. Let z(o) be the third derivative of o**7/840 - 23*o**4/12 - 180*o**2. Let b(h) be the second derivative of z(h). Give b(w(y)).
8748*y**2
Let m(a) = -173676898*a. Let z(u) = u. Calculate m(z(v)).
-173676898*v
Let c(r) = 4*r + 11. Let x(u) = 34*u + 37*u - 94*u. Give c(x(d)).
-92*d + 11
Let w(k) = -302*k + 666. Let c(o) = -33*o + 72. Let g(i) = 37*c(i) - 4*w(i). Let u(p) = 3 - 3 + 6*p. Calculate u(g(s)).
-78*s
Let x(a) = 8982*a**2. Let l(z) = -2*z - 445. What is l(x(r))?
-17964*r**2 - 445
Let a(l) = l + 1. Let r(h) = -h + h - 189*h**2 + 92*h**2 + 100*h**2. What is r(a(m))?
3*m**2 + 6*m + 3
Let g(n) = -15*n. Let b(l) = 3*l + 1. Let d(y) = -2*y - 4. Let p(c) = -4*b(c) - d(c). Determine p(g(j)).
150*j
Let t(b) = b**2. Let s be (-9 + 9 - 4) + 4. Let c(d) be the third derivative of s + 11*d**2 + 0*d**3 + 5/24*d**4 + 0*d. Calculate t(c(y)).
25*y**2
Let f be ((-8)/(-20))/(4/(-20)) - -35. Let j be f/(-2)*(-4 + 40/12). Let g(m) = j*m - 12*m - 5 + 5. Let t(z) = 10*z**2. Give g(t(q)).
-10*q**2
Let o(m) be the third derivative of m**4/3 + 2*m**2 + 1338*m. Let d(k) = 20*k**2. Calculate d(o(q)).
1280*q**2
Let n(a) = -3*a - 2182. Let o(f) = -20173*f**2. Give n(o(h)).
60519*h**2 - 2182
Let f(m) = 2*m**2. Suppose 4*v - 552 = 60. Let g(j) = 36*j + v*j + 145*j. Give g(f(n)).
668*n**2
Let h(f) = 10*f**2. Let d(w) = -17*w**2 + 21*w. Let y(o) = 14*o**2 - 18*o. Let m(x) = -5*d(x) - 6*y(x). Give h(m(l)).
10*l**4 + 60*l**3 + 90*l**2
Let w(z) = 3942 + 2*z**2 - 3942. Let j(o) = 3075*o**2. Calculate j(w(u)).
12300*u**4
Let f(y) = -20*y + 20. Let l(p) = 9*p - 8. Let r(s) = -2*f(s) - 5*l(s). Let t(o) = 8*o + 5*o - 10*o. Give t(r(v)).
-15*v
Suppose -4*j = -m + 24 - 80, 52 = 4*j - 2*m. Let n(v) = 15*v - j*v - 32*v. Let c(u) = -5*u - 6. Let r(f) = -f - 1. Let h(i) = c(i) - 6*r(i). What is h(n(p))?
-32*p
Let a(p) = -p. Let t(w) = 60393408 - 60393408 + 2836*w. Determine t(a(f)).
-2836*f
Let x(g) = -4923*g. Let j(m) = 34268*m. What is x(j(u))?
-168701364*u
Let h(i) = -1204*i - 292*i**2 + 2 + 603*i + 601*i. Let k(c) = 2*c**2. What is k(h(t))?
170528*t**4 - 2336*t**2 + 8
Let q(n) = -6*n - 3389. Let l(d) = 8*d + 3388. Let f(r) = 4*l(r) + 5*q(r). Let u(j) = -j. Give u(f(a)).
-2*a + 3393
Let d(g) = -6*g**2 + 2. Let m(o) = 63956327 - 63956327 - 3*o**2. Give m(d(t)).
-108*t**4 + 72*t**2 - 12
Let r(s) be the third derivative of -13*s**4/12 - 2*s**2. Let l(f) be the third derivative of -1/30*f**5 + f**2 + 0 + 0*f**3 + 0*f**4 - 6*f. Calculate r(l(p)).
52*p**2
Let l(g) be the third derivative of -g**5/60 + 9*g**2. Let o(m) = -18*m**2. Let k be (2/2)/(6/90). Let n(p) = k*l(p) - o(p). Let c(h) = h**2. What is n(c(z))?
3*z**4
Let x(o) = o**2 - 3*o**2 - 6*o**2 + 0*o**2. Let k(a) be the third derivative of 0 + 4*a**2 + 0*a - 1/8*a**4 + 0*a**3. What is x(k(v))?
-72*v**2
Let g(c) = -7*c. Let s(x) be the third derivative of -7*x**5/60 - 19*x**3/6 - 19*x**2 + 1. Let z(r) be the first derivative of s(r). Give z(g(t)).
98*t
Let j(m) = 745219*m**2. Let x(f) = -7*f**2. Calculate j(x(b)).
36515731*b**4
Let t(x) = 14*x - 7. Let z(k) = 17*k + 1. Let i(v) = 14*v. Let y(a) = -4*i(a) + 3*z(a). Let s(f) = -3*t(f) - 8*y(f). Let c(r) = 2*r. Determine s(c(o)).
-4*o - 3
Let v(w) = -w. Let n(r) be the second derivative of 44*r - 85/3*r**4 + 1 + 0*r**2 + 0*r**3. Give v(n(u)).
340*u**2
Let r(p) = -14026*p. Let k(z) = -2163*z**2. Give r(k(l)).
30338238*l**2
Let x(i) = 2*i - 26. Let b = 18 + -16. Let s(l) be the first derivative of 2*l + 265*l**2 + 29 - b*l - 266*l**2. Determine s(x(j)).
-4*j + 52
Let x(s) = -5*s**2 - 6*s. Let g(w) = 8*w**2 + 9*w. Let i(p) = -2*g(p) - 3*x(p). Let u(h) = 29*h**2. Calculate u(i(n)).
29*n**4
Let y(u) = -5*u + 75. Suppose 0 = 4*d - 16, 13*d - 14*d = -2*p - 2. Let o(a) = a - 3. Let i(h) = p*y(h) + 4*o(h). Let w(l) = -4*l. Give i(w(k)).
4*k + 63
Let z(r) = r**2. Let q(j) = -5248*j**2 + 1176*j + 1. Calculate q(z(c)).
-5248*c**4 + 1176*c**2 + 1
Let n(l) = 183*l. Let r(j) = 747899*j. Determine n(r(c)).
136865517*c
Let z(o) = 36*o. Let i(y) be the second derivative of 7*y**3 + 352*y. Give i(z(d)).
1512*d
Let h(x) = -4*x. Let m(g) = -12*g + 7. Let n(y) = 5*y - 3. Let z(i) = -2*i - 57. Let o be z(-27). Let r(u) = o*m(u) - 7*n(u). Give r(h(l)).
-4*l
Let n = -90 + 42. Let k(u) = 56*u**2 + 48*u - 48. Let w(m) = -m**2 - m + 1. Let a(j) = n*w(j) - k(j). Let o(r) = 5*r - 3*r + 0*r. Calculate a(o(f)).
-32*f**2
Let o(l) = 26*l - 57*l + 16*l + 22*l + 57. Let g(i) = i. Give o(g(c)).
7*c + 57
Let i(s) = -7057 + s + 7057 - s + s**2. Let a(t) be the third derivative of t**4/6 - t**3/6 + 3*t**2. What is i(a(u))?
16*u**2 - 8*u + 1
Let o(t) be the first derivative of -3*t**2 - 896. Let r(n) = -159*n. What is o(r(m))?
954*m
Let i(k) be the first derivative of -k**5/8 - 4*k**3/3 - 12*k + 70. Let v(m) be the third derivative of i(m). Let n(l) = -6*l**2. Give v(n(j)).
90*j**2
Let w(u) = -2*u**2 + 449. Let h(a) be the second derivative of a**4/6 + 23 | {
"pile_set_name": "DM Mathematics"
} |
1)
Let n = -11/3965 + 63561/43615. Factor 0 + 2/11*i**2 - n*i.
2*i*(i - 8)/11
Let c(t) be the second derivative of t**4/3 - 16*t**3 + 280*t**2 + 119*t - 3. Factor c(y).
4*(y - 14)*(y - 10)
Factor -245/2*q + 1830 - 5/2*q**2.
-5*(q - 12)*(q + 61)/2
Let a(u) be the third derivative of 1/66*u**4 + 1/33*u**3 + 0*u + 1/330*u**5 - 46*u**2 + 0. Suppose a(t) = 0. What is t?
-1
Suppose -20*t - 252 = -11*t. Let c be (-2 - (-22)/3) + (t - -23). Factor c*z**3 + 0 + 1/3*z**2 - 2/3*z.
z*(z - 1)*(z + 2)/3
Let t = -1/2031572 - -4063151/14221004. Factor 0 + t*r**3 - 6/7*r**2 - 20/7*r.
2*r*(r - 5)*(r + 2)/7
Solve -35/3*x - 1/6*x**3 + 71/6*x**2 + 0 = 0.
0, 1, 70
Suppose 3678 = -4*c - 2*z, 2*z + 1105 = -3*c - 1653. Let b be 6/21 - c/210. Factor 10/3*u**2 - 4/3 - 8/3*u**3 + b*u.
-2*(u - 2)*(u + 1)*(4*u - 1)/3
Let v = 55 + 16. Factor 67*g**3 - v*g**3 - 223 + 59*g**2 - 320*g + 17*g**2 - 177.
-4*(g - 10)**2*(g + 1)
Let n be (-45)/40 - (-2412)/2144. Factor n + 1/7*s**2 - 2/7*s.
s*(s - 2)/7
Let q(d) = -d**4 - 93*d**3 - 580*d**2 - 1002*d - 517. Let h(c) = -5*c**4 - 187*c**3 - 1158*c**2 - 2002*c - 1033. Let z(b) = -6*h(b) + 14*q(b). Solve z(l) = 0.
-2, -1, 65/4
Let s(d) = -526*d**3 - 6*d**2 - 3*d + 2. Let z be s(-1). Factor 135*f + 56*f**3 - 109*f**3 - 9*f**2 + z + 50*f**3.
-3*(f - 7)*(f + 5)**2
Let z(x) be the second derivative of 0*x**2 + 70*x + 0*x**3 + 0*x**5 + 0 + 1/20*x**6 + 0*x**4. Factor z(r).
3*r**4/2
Let -9 - 856*f + 729*f**2 - 23 + 1734*f + 2586*f + 139*f**2 = 0. Calculate f.
-4, 2/217
Suppose -943*j = 96*j - 2078. Factor -162*n**j + 3*n**3 - 657/4*n - 165/4.
3*(n - 55)*(2*n + 1)**2/4
Let z be (24 - (-30400)/(-1254))*-9. Solve z*i**2 + 2/11*i**5 + 0 + 38/11*i**3 + 0*i + 16/11*i**4 = 0.
-4, -3, -1, 0
Let a(j) = -j**2 - 3*j**2 + 24*j - 128 - j**2 + 5*j. Suppose -2*b + 6*b + 12 = 0. Let v(k) = k**2 + k. Let d(w) = b*v(w) - a(w). Suppose d(y) = 0. What is y?
8
Factor 96*z + 234/5*z**2 + 9*z**3 + 3/5*z**4 + 288/5.
3*(z + 1)*(z + 4)**2*(z + 6)/5
Let w = -253 - -244. Let k be (1305/260)/w*-8. Factor -k*y + 14/13 + 8/13*y**2.
2*(y - 7)*(4*y - 1)/13
Let l(b) be the third derivative of b**8/1680 + 13*b**7/1050 + 41*b**6/600 + 47*b**5/300 + 3*b**4/20 - 283*b**2. Solve l(j) = 0 for j.
-9, -2, -1, 0
Solve 7260*f + 513*f**4 - 2845*f**3 - 4180*f**2 - 287*f**4 - 5*f**5 - 456*f**4 = 0 for f.
-22, -3, 0, 1
Let l(o) = -o**2 + 2*o. Suppose -14*x + 9*x = -5. Let m(i) = -6*i + 5. Let r(u) = x*l(u) + m(u). Solve r(f) = 0 for f.
-5, 1
Suppose 5*i = 4*b + 15, 3*i - 6*i + 3*b = -9. Determine s, given that -3*s**2 + 0*s**i - s**3 - 28 + s + 21 + 10 = 0.
-3, -1, 1
Let n = -2419199/120 + 20160. Let b(j) be the second derivative of 1/80*j**5 + 13*j + n*j**6 + 0 + 0*j**2 - 1/24*j**3 - 1/48*j**4. Factor b(x).
x*(x - 1)*(x + 1)**2/4
Let l(v) be the first derivative of -3*v**4/4 + 1818*v**3 - 1652562*v**2 + 667635048*v - 1774. Determine o, given that l(o) = 0.
606
Let n(l) be the first derivative of -l**7/4200 - l**6/360 + 4*l**3/3 - 189. Let r(d) be the third derivative of n(d). Factor r(a).
-a**2*(a + 5)/5
Suppose 291*z - 3*w = 296*z - 36, 4*z - 4*w = -16. Let -8/3*t**2 - 8/3*t**z + 2/3*t**5 + 2/3*t**4 + 0*t + 0 = 0. What is t?
-2, -1, 0, 2
Let o(u) = 12*u**2 - 4*u - 10. Let q(m) = m**2 + m - 1. Let l = 25 + -77. Let a = -50 - l. Let s(r) = a*o(r) - 44*q(r). Solve s(g) = 0 for g.
-3, 2/5
Suppose 5/2*a**3 + 65*a - 40 - 55/2*a**2 = 0. What is a?
1, 2, 8
Let h = 8828/15 + -8732/15. Factor 28/5*t - 4/5*t**2 + h.
-4*(t - 8)*(t + 1)/5
Suppose -20/7*q**3 + 0 - 184/7*q**2 - 36/7*q = 0. What is q?
-9, -1/5, 0
Let o be (73/146)/((-6)/(-9))*64/78. Let -2/13*w**5 - 6/13*w**3 + 0*w**2 + 0*w + o*w**4 + 0 = 0. What is w?
0, 1, 3
Let g(k) be the third derivative of -k**5/60 - 213*k**4/8 - 2188*k**2. Find x, given that g(x) = 0.
-639, 0
Suppose -3*i + 2*f = -31, -1665 + 1621 = 4*f. Determine m, given that 3/4 + 3/4*m**4 + 15/4*m + 15/4*m**5 - 15/2*m**i - 3/2*m**2 = 0.
-1, -1/5, 1
Let h(i) = 5*i**3 + 26*i**2 - 33*i + 14. Let k(c) = 7*c**3 + 26*c**2 - 32*c + 14. Let a(t) = 5*h(t) - 4*k(t). Solve a(r) = 0 for r.
2/3, 1, 7
Find j, given that 46353*j**3 + 5*j**5 + 53980*j**2 - 196000*j - 995*j**4 + 2627*j**3 + 10253 - 210253 = 0.
-2, -1, 2, 100
Let u(x) be the first derivative of 2*x**5/25 + 89*x**4/20 - 182*x**3/3 - 477*x**2/10 + 476. Determine f, given that u(f) = 0.
-53, -1/2, 0, 9
Suppose -u + y = -2*u - 1, 2*y + 6 = 0. Let 23*t**2 - 8*t**3 - 35*t**2 - 4*t**4 + 24*t**u = 0. What is t?
-3, 0, 1
Let l(o) be the second derivative of o**5/10 - 8*o**4/3 - 55*o**3/3 - 38*o**2 + 683*o. Solve l(v) = 0.
-2, -1, 19
Factor -87 - 263/2*j - 45*j**2 - 1/2*j**3.
-(j + 1)*(j + 2)*(j + 87)/2
Let v(r) = r**3 + 200*r**2 + 847*r - 1068. Let p(j) = -2*j**3 - 391*j**2 - 1692*j + 2135. Let b(h) = 4*p(h) + 10*v(h). Factor b(t).
2*(t - 1)*(t + 5)*(t + 214)
Let v = 53/5359 - 369150045/69667. Let q = -5296 - v. What is p in -2*p**2 - 2/13*p**4 + 14/13*p**3 + q - 6/13*p = 0?
-1, 2, 3
Suppose 2*h + 16*b - 11*b = 30, -3*h = 4*b - 38. Let c be 5 + -15 - -1*h. Factor -1/3*p - 1/3*p**2 + c.
-p*(p + 1)/3
Let f(y) = -5*y**3 - y**2. Let q be f(-1). Suppose 0 = q*i - 5*v - 96, -4*v = 2*i - 5*i + 71. Factor 24*z**2 + 6*z - i*z**2 + 3*z + z.
-5*z*(z - 2)
Let c(r) be the third derivative of r**5/300 - 11*r**4/40 - 74*r**3/15 + 423*r**2. Let c(w) = 0. Calculate w.
-4, 37
Let x(u) be the third derivative of u**7/840 + u**6/90 + 119*u**3/6 - 55*u**2 - 3*u. Let l(j) be the first derivative of x(j). Factor l(t).
t**2*(t + 4)
Let f(v) be the first derivative of 34*v**5/5 - 86*v**4 + 890*v**3/3 - 50*v**2 - 1070. Factor f(i).
2*i*(i - 5)**2*(17*i - 2)
Let j(q) be the third derivative of -4075/84*q**4 + 6883/42*q**5 + 3872/735*q**7 + 109*q**2 - 19681/420*q**6 + 0 + 125/21*q**3 - 32/147*q**8 + 2*q. Factor j(w).
-2*(w - 5)**3*(16*w - 1)**2/7
Suppose 3*f + 15 = -5*p, -f - 593 = 2*p - 588. Let h(c) be the first derivative of p*c + 3/16*c**2 - 1/2*c**3 - 3 + 3/8*c**4. Factor h(k).
3*k*(2*k - 1)**2/8
Suppose -3*n - 2*o + 12 + 12 = 0, 4*n + 3*o = 34. Let p be 1*(-5 - 1)/(-2). Factor 1/2*q**2 + n - p*q.
(q - 4)*(q - 2)/2
Let c(y) = -4*y + 8. Let b be c(3). Let o = b - -6. Factor 8*v**2 + 3*v**3 - o*v**3 - 10*v**2.
v**2*(v - 2)
Let 75*x**2 + 170*x + 26*x**2 - 18*x**2 - x**3 = 0. What is x?
-2, 0, 85
Let x(g) be the first derivative of -g**6/1080 - 7*g**5/360 + 25*g**3/3 - 60. Let a(r) be the third derivative of x(r). Factor a(m).
-m*(m + 7)/3
Let z(q) be the first derivative of 4*q**2 - 18/7*q + 129 - 2/7*q**3. Let z(y) = 0. What is y?
1/3, 9
Factor -5/4*r**3 - 935/4*r**2 - 43245/4 - 44175/4*r.
-5*(r + 1)*(r + 93)**2/4
Let u(l) be the second derivative of -l**7/945 + l**6/36 - 7*l**5/135 - 73*l**2/2 - 39*l. Let h(f) be the first derivative of u(f). Let h(b) = 0. What is b?
0, 1, 14
Let o(h) be the second derivative of 2*h**7/63 + 8*h**6/45 - 2*h**5/5 - 4*h**4 - 6*h**3 - 827*h. Determine z so that o(z) = 0.
-3, -1, 0, 3
Let c = -4/6655 - -267/1331. Let j(f) be the third derivative of 0*f - 1/40*f**4 + 0 + c*f**3 - 1/100*f**5 + 13*f**2. Solve j(s) = 0 for s.
-2, 1
Let a(m) be the third derivative of 20/3*m**3 - 95/6*m**4 + 33/2*m**5 + 55*m**2 + 0*m - 27/8*m**6 + 0. Solve a(o) = 0 for o.
2/9, 2
Suppose -5*k + 4 = -x - 13, x + 1 = k. Find v such that 4*v**4 + 3*v**5 + 75*v - 2*v**3 + 24*v**3 + 120*v**2 - 28*v**4 - k*v**3 = 0.
-1, 0, 5
Let s(y) be the first derivative of -y**6/6 + 8*y**5/15 + 7*y**4/3 + 2*y**3/3 - 25*y**2/6 - 14*y/3 + 4957. Solve s(h) = 0 for h.
-1, 1, 14/3
Let d be (25956/(-135))/14 + 14. Let v(j) be the third derivative of 0*j + 0 + 1/150*j**5 - 2*j**2 + 1/20*j**4 - d*j**3. Solve v(q) = 0.
-4, 1
Factor -22*q**3 + 11*q**3 + 34*q**2 - 209*q + 10*q**3 + 58*q + 174.
-(q - 29)*(q - 3)*(q - 2)
Let p be ((-16)/(-52))/(10/65). Let j be (5/(-10))/(6/(-8)). Factor -j*s**p + 32/3*s - 128/3.
-2*(s - 8)**2/3
Find c such that 237/2*c**5 + 94/3*c + 417/2*c**2 + 2665/6*c**3 + 2/3 + 2309/6*c**4 = 0.
-1, -2/9, -2/79
Let n(w) = 14*w + 6. Let j be n(11). Suppose 5*v - j = -4*o, -100 = -4*v + 2*o + 28. Factor 14*k**2 + k**5 + 28 - 7*k**2 - v - 3*k**4 - k**3.
(k - 2)**2*(k - 1)*(k + 1)**2
Let s be 16*494/832 + 210/(-28). Find r, given that 250/9*r - 4 - 8/9*r**5 - 526/9*r**s - 118/9*r**4 + 146/3*r**3 = 0.
-18, 1/4, 1
Let f be ((-75)/(-42))/((-72)/(-126)) - (-23)/(-184) | {
"pile_set_name": "DM Mathematics"
} |
/7*a**4 + 0*a + 2/7*a**5 + 0 + k*a**3.
2*a**2*(a + 1)**3/7
Let y = 103222/3 + -34406. Solve y - 1/3*j**2 - j = 0.
-4, 1
Factor 2/13*d**2 - 222/13*d - 2420/13.
2*(d - 121)*(d + 10)/13
Let d(t) = 610*t + 7320. Let m be d(-12). Factor 3/5*c**4 + 48/5*c**2 - 24/5*c**3 + m*c + 0.
3*c**2*(c - 4)**2/5
Let g(v) be the second derivative of 13 + 3*v**2 - 3/2*v**3 + 1/4*v**4 - 2*v. What is f in g(f) = 0?
1, 2
Let g(r) be the first derivative of -25*r**4/22 - 16*r**3/11 + r**2/11 - 4. Solve g(b) = 0 for b.
-1, 0, 1/25
Suppose 139 - 119 = 5*g. Factor 196*i**5 + 26*i**3 + i**4 + 18*i**2 - 27*i - 195*i**5 - 27 + 8*i**g.
(i - 1)*(i + 1)*(i + 3)**3
Suppose -5*t = 75*s - 71*s - 74, -4*s + 64 = 0. Factor 2/5*v**t + 18/5 - 4*v.
2*(v - 9)*(v - 1)/5
Let o(v) be the third derivative of -v**6/540 - 46*v**5/135 + 31*v**4/36 + 123*v**2 + 3*v. Find g, given that o(g) = 0.
-93, 0, 1
Let j = 5875538/5 - 1175090. Factor -j*a + 64/5 + 4/5*a**3 + 4*a**2.
4*(a - 2)*(a - 1)*(a + 8)/5
Let s(b) = -b**2 - 7*b + 4. Suppose -90 = 11*q - 13. Let m be s(q). Factor 11*t - 13*t**3 - 3*t - m + 11*t**3 - 2*t.
-2*(t - 1)**2*(t + 2)
Let m(k) = -4*k**4 + 8*k**3 + 24*k**2 - 6*k - 12. Let x(s) = -17*s**4 + 32*s**3 + 102*s**2 - 23*s - 49. Let u(l) = 9*m(l) - 2*x(l). What is n in u(n) = 0?
-1, 1, 5
Let i = 1273/140240 + 6/1753. Let t(z) be the second derivative of -3/80*z**5 + 0*z**3 + i*z**6 + 0 - 3/32*z**4 + 3*z + 0*z**2. Factor t(x).
3*x**2*(x - 3)*(x + 1)/8
Let j(a) be the second derivative of -a**6/15 - 81*a**5/10 - 184*a**4 - 1024*a**3/3 + 7199*a. Factor j(o).
-2*o*(o + 1)*(o + 16)*(o + 64)
Let d(r) = -2*r**4 - r**3 + r**2 + r + 1. Let m(l) = -39*l**4 - 96*l**3 - 414*l**2 - 624*l - 267. Let q(u) = 18*d(u) - m(u). Factor q(b).
3*(b + 1)**2*(b + 5)*(b + 19)
Let x(p) = -p**4 - 247*p**3 + 6*p + 2. Let m(h) = 9*h**4 + 1977*h**3 - 51*h - 17. Let k(g) = -6*m(g) - 51*x(g). Solve k(i) = 0.
0, 245
Factor -6*h**2 + 10515/2*h - 1314.
-3*(h - 876)*(4*h - 1)/2
Let s be (62 - 40500/525) + (-1 - -18). Let j = 6798/7 - 969. Factor -p + 4/7*p**4 - s*p**3 + j*p**2 + 1/7.
(p - 1)**3*(4*p - 1)/7
Let p(v) be the second derivative of v**4/78 + 94*v**3/39 + 1941*v. Factor p(x).
2*x*(x + 94)/13
Let n = -3649 + 3652. Let j(t) be the first derivative of 0*t - 6*t**2 - 21 - t**3 + 3/5*t**5 + n*t**4. Let j(s) = 0. What is s?
-4, -1, 0, 1
Let o be ((-242)/220*-22*1)/(6 - 5). Let k(j) be the first derivative of 34 + 1/15*j**3 - 11/5*j**2 + o*j. Factor k(d).
(d - 11)**2/5
Let t be (-178)/1513 - (-29)/102. Let h(n) be the second derivative of 0 - t*n**4 + 0*n**2 + 11*n - n**3. Factor h(y).
-2*y*(y + 3)
Suppose 2*x - 13 - 35 = 4*u, -5*x + 105 = -5*u. Let g be 8/6*(-5)/((-20)/x). Factor 7*m + g*m - 18*m + 2*m**3 + 3*m.
2*m*(m - 1)*(m + 1)
Determine j so that -634 - 607 - 3*j**2 + 282*j + 1241 = 0.
0, 94
Let u be 2*(13 - 12) - (3 + (-51)/6). Let -u*b - 25*b**2 - 35/2*b**3 + 0 = 0. Calculate b.
-1, -3/7, 0
Let x(i) = 5*i**2 - 460*i - 1554. Let a(g) = -4*g**2 + 449*g + 1555. Let d(u) = -6*a(u) - 5*x(u). Let d(r) = 0. Calculate r.
-390, -4
Let o be (-6)/2 + 102/(-1). Let b be (1 + 6/(-9))*o/(-10). Factor -b*r + r**2 + 1/2*r**3 + 2.
(r - 1)**2*(r + 4)/2
Let v(b) = b**2 + 15*b - 98. Let x be v(-20). Factor -7*a**3 - 1 + 25 - 92*a + 2*a**4 + 94*a**x - 30*a**3 + 3*a**4.
(a - 3)*(a - 2)**2*(5*a - 2)
Let m(i) be the third derivative of 0*i - 1/525*i**7 + 0*i**3 - 116*i**2 - 1/100*i**6 + 0 + 2/75*i**5 + 0*i**4. Factor m(p).
-2*p**2*(p - 1)*(p + 4)/5
Let w(c) = c + 1. Let f(j) = -j**3 - 2*j**2 - 4*j - 3. Let b = 216 - 219. Let d(y) = b*w(y) - f(y). Factor d(l).
l*(l + 1)**2
Factor -36 - 16*a**3 - 13*a**3 + 12*a + 20*a**2 + 29*a**3 + 4*a**3.
4*(a - 1)*(a + 3)**2
Determine l so that -39967500/7*l**2 - 14600/7*l**3 - 48627125000/7*l - 22186125781250/7 - 2/7*l**4 = 0.
-1825
Factor 5476038/11*f**3 - 169362/11*f**2 + 1746/11*f - 6/11.
6*(97*f - 1)**3/11
Let c = 23755/2 + -11876. Find w, given that c*w + 1/2*w**3 - 3/2*w**2 - 1/2 = 0.
1
Let g = 18887 - 18884. Factor 3/5*y**g - 12/5*y**2 - 42/5 - 57/5*y.
3*(y - 7)*(y + 1)*(y + 2)/5
Factor -9*b**3 - 6*b**4 - 9*b**4 + 6*b**2 - 7*b**4 + 25*b**4.
3*b**2*(b - 2)*(b - 1)
Let j(u) = -8*u**2 - 120*u + 1723. Let f(h) = 12*h**2 + 180*h - 2585. Let y(p) = 5*f(p) + 7*j(p). Factor y(i).
4*(i - 9)*(i + 24)
Let w = 39 + -28. Let u be 1/(-3)*(8 - w). Solve 26*m**3 - 3*m + u - 25*m**3 - 2*m**2 - 1 = 0.
-1, 0, 3
Let v be 44/(-14) + 6/42 - 756/(-196). Determine k, given that 9/7*k + 3/7*k**5 + 0 + v*k**4 - 12/7*k**3 - 6/7*k**2 = 0.
-3, -1, 0, 1
Let d(o) be the second derivative of -o**4/9 + 44*o**3/3 + 5*o - 143. Factor d(r).
-4*r*(r - 66)/3
Let g(x) = -x**2 + 3*x + 4. Let a be g(4). Let r = -6837 - -6840. Solve -2/15*v**2 + a - 2/15*v**r + 2/15*v**4 + 2/15*v = 0.
-1, 0, 1
Let u(l) be the first derivative of -109*l**4/9 - 428*l**3/27 + 1312*l**2/9 - 16*l/3 - 742. Find d, given that u(d) = 0.
-3, 2/109, 2
Let a(g) = g + 63. Let w be a(8). Factor 187*o**2 - 40*o - 8*o**3 + 23*o**3 - w*o**2 - 66*o**2 - 60*o**2.
5*o*(o - 2)*(3*o + 4)
Let n(y) be the first derivative of 0*y - 64 - 4/5*y**5 - 4/3*y**3 + 0*y**2 + 2*y**4. Solve n(l) = 0 for l.
0, 1
Let z = 346 - 344. Factor 4*v**3 - 3*v**z - 4*v**3 - 13*v**2 + 4*v**4.
4*v**2*(v - 2)*(v + 2)
Suppose 10*c - 35 + 5 = 0. Factor 33*i - 5813*i**3 - 18 + 3*i**5 + 10*i**4 + 5777*i**c + 2*i**4 + 6*i**2.
3*(i - 1)**3*(i + 1)*(i + 6)
Suppose -4*d + 5*y = 25, -3*d + 20 = -0*d + 4*y. Let h(o) = -o**3 + 48*o**2 + 31*o + 885. Let f be h(49). Factor 4*u**2 + 0 + d*u + 1/2*u**f.
u**2*(u + 8)/2
Let q(t) be the second derivative of -2 + 0*t**2 + t**3 - 82*t - 1/18*t**4. Find y such that q(y) = 0.
0, 9
Let o be (0 - 1)/(-9)*0/2*5477/43816. Factor -3/4*u**2 + o + 63/4*u.
-3*u*(u - 21)/4
Let z(x) be the third derivative of -x**5/150 + 1951*x**4/60 - 130*x**3 + 7*x**2 + 466*x. Solve z(c) = 0.
1, 1950
Determine c, given that 0*c**3 - 54/7*c - 33/7*c**2 + 3/7*c**4 - 24/7 = 0.
-2, -1, 4
Find o, given that 0 + 46*o + 1/2*o**3 - 24*o**2 = 0.
0, 2, 46
Suppose 4*p - 85*l + 12 = -87*l, p - 13*l - 132 = 0. Solve 4/7*u**p - 16/7 - 12/7*u = 0.
-1, 4
Let f(a) be the second derivative of a**4/78 + 16*a**3/13 + 92*a**2/13 - 5551*a. Factor f(w).
2*(w + 2)*(w + 46)/13
Let a(d) = d**3 + 9*d**2 - 99*d - 222. Let v be a(-2). Let -4/3*f**5 + 35/3*f**3 + 50/3 + 8/3*f**2 - 85/3*f - 4/3*f**v = 0. What is f?
-5/2, 1, 2
Let s = 647 + -452. Let l = 1381/7 - s. Factor -2/7*j**2 - 32/7 - l*j.
-2*(j + 4)**2/7
Factor -772/7*g + 16/7 - 194/7*g**2.
-2*(g + 4)*(97*g - 2)/7
Let 25/4*h**3 + 13/2*h**2 - 1/4*h**4 + 0 + 0*h = 0. What is h?
-1, 0, 26
Suppose 28 = -6*i + 208. Let p be (-8)/2*(-3 - (-86)/i). Find x such that p*x**2 - 2/5*x - 2/15*x**3 + 0 = 0.
0, 1, 3
Let l = 56343/43 + -507001/387. Determine v, given that -l*v**2 - 2/9 + 4/9*v = 0.
1
Find j, given that 1/2*j**2 + 89401/2 - 299*j = 0.
299
Let l(d) be the first derivative of 32*d + 4/5*d**5 + 7*d**4 + 24*d**3 + 40*d**2 + 131. Find u such that l(u) = 0.
-2, -1
Let j(d) be the third derivative of 5*d**8/336 - 11*d**7/42 - 15*d**6/8 + 35*d**5/12 + 65*d**4/3 - 70*d**3 + 236*d**2 + 1. What is g in j(g) = 0?
-3, -2, 1, 14
Suppose 0 = b - 202 + 197. Let j be ((-8)/(-32))/(b/80). Suppose 9/7*q**2 + 3/7*q**3 - 3/7*q**j - 3/7*q - 6/7 = 0. Calculate q.
-1, 1, 2
Let y be (-2 + (-176)/(-33))*57/2. Find w, given that 11 + 6*w - 31 + y - 15 + w**2 + 26*w = 0.
-30, -2
Let k = -160333 + 801853/5. Factor -196/5 - 4/5*g**3 + 388/5*g - k*g**2.
-4*(g - 1)**2*(g + 49)/5
Suppose 0 = -35*d + 42*d - 28. Suppose 15*m**2 - 19*m**2 - 96*m**d + 100*m**4 = 0. What is m?
-1, 0, 1
Let i(v) be the third derivative of -v**6/30 + 73*v**5/5 - 145*v**4/2 + 434*v**3/3 - 1028*v**2. Find q, given that i(q) = 0.
1, 217
Let s(o) be the third derivative of o**5/60 - 23*o**4/12 + 15*o**3/2 + 11*o**2 - 62*o. Factor s(y).
(y - 45)*(y - 1)
Let h(z) be the first derivative of -86 + 2/27*z**3 + 8/9*z + 5/9*z**2. Factor h(x).
2*(x + 1)*(x + 4)/9
Let o be 0 - 11/(11/(-2)). Suppose 16 = 5*z - 2*k, 3*z - 5*k - o = -0. Suppose -15*u**3 + u**5 + 7*u**3 + 4*u**4 + 5*u**3 - 2*u**z = 0. What is u?
-3, 0, 1
Let a(q) = -3*q + 249. Let u be a(12). Let b = u - 423/2. Determine p, given that b*p - 3/4*p**2 - 3/4 = 0.
1
Let r = -95349 - -381671/4. Let -5 - 25*g + r*g**4 - 75/4*g**2 + 175/4*g**3 + 105/4*g**5 = 0. Calculate g | {
"pile_set_name": "DM Mathematics"
} |
2 + v**2 - 2) + 1 - 1 + v**2)*(-9 - 27 - 7) as f + i*v + a*v**2 and give a.
-172
Rearrange 9*o - 4*o + 11*o to r*o + x and give r.
16
Express g**4 - g**4 + 4*g**4 + (3 - g**2 - 3)*(0*g - g**2 + 0*g) + (-2 + 4 - 3)*(-2*g**4 + 2*g**4 - 2*g**4) as w*g + d + b*g**4 + h*g**2 + a*g**3 and give b.
7
Rearrange 8*r**3 + 8*r**3 - 21*r**3 + 10*r**3 + 4*r - 2 to v + p*r**3 + z*r**2 + i*r and give p.
5
Express -10*i**2 + 9 - 9 as k*i**2 + z + n*i and give k.
-10
Express 20 - 51 + 27 - u + (2*u - 6*u + 2*u)*(5 - 4 - 2) as q*u + t and give t.
-4
Rearrange (0*t**2 + 0*t**2 + 2*t**2)*(2 - 1 + 1) + (-28*t + 117 - 117)*(-3*t - 3*t + 3*t) to p + s*t**2 + u*t and give u.
0
Rearrange (-2 - 7 + 75)*(b + 2*b - 6*b) to d + j*b and give j.
-198
Rearrange -6*j**2 - 7*j**3 + 1 + j**3 + 4*j**2 + 5*j**3 to the form d + f*j + k*j**3 + b*j**2 and give b.
-2
Rearrange 10*q + 8*q - 6*q + 0*q**2 + 2*q**2 to x*q + c + y*q**2 and give y.
2
Express 2 + 18*x - 18*x - 5 - 5*x**2 as t*x + i + m*x**2 and give m.
-5
Express 4*a**2 + 15*a**2 + 4 - 21*a**2 as g + n*a + u*a**2 and give g.
4
Express 2*z**2 + 796 - z**4 + 5*z**3 + 3*z**4 - 795 + z in the form l*z**3 + c*z**2 + r + p*z**4 + v*z and give c.
2
Express (0*x - 2*x - 4*x)*(-x**2 - 2*x**2 - 3*x**2) - 2*x**3 + x**3 + 3*x**3 as s*x + w*x**3 + q*x**2 + r and give w.
38
Rearrange 12*f**4 + 0*f - 14*f**4 - 4*f**2 - 2*f to the form z + c*f**4 + s*f**3 + r*f**2 + k*f and give c.
-2
Express (8*l**2 - 4*l**3 - 4*l**2 - 5*l**2)*(1 - 1 + 2*l) as h*l + c + g*l**2 + u*l**3 + q*l**4 and give u.
-2
Express (110*b + 7 + 19 - 26)*(12 - 2*b**2 - 12) as x*b**3 + t*b + z + l*b**2 and give x.
-220
Express 7*d**3 - d**2 + 27 - 27 as w + z*d**2 + a*d**3 + l*d and give a.
7
Rearrange -4*a + 3*a - a to the form f + h*a and give h.
-2
Rearrange -16*i + 16*i + 3*i**2 - 19*i to the form u*i + y*i**2 + g and give y.
3
Express -8*m**2 + 13*m**2 - 3*m**2 + m - m + m**2 + (0*m + 0*m - m)*(5*m - 4*m - 2*m) + 2*m**2 - m**2 - 2*m**2 in the form c*m + l*m**2 + y and give l.
3
Express -g**2 - g**2 + 3*g**2 + (4*g - 8*g - 4*g)*(4 - 2 - 1)*(0*g - g + 2*g) as l*g + x + w*g**2 and give w.
-7
Rearrange (-3*p**2 + 2*p**2 + 2*p**2)*(-6*p - 9 + 9) + 4*p**3 - p**3 + 2*p - 3*p to the form x + i*p**2 + w*p**3 + a*p and give x.
0
Rearrange -6 - 4*w**2 + 6 - 6 to the form v*w**2 + s*w + b and give v.
-4
Express 9*b + 4*b + 15*b + 5*b in the form i*b + k and give i.
33
Express 0*q - 22 + 0*q - q + 7*q**2 + 20 as d*q + u + h*q**2 and give u.
-2
Express -25*c - c**2 + 7*c + 0*c**2 in the form g*c + v + h*c**2 and give v.
0
Rearrange -191*i - 14*i**3 + 0*i**2 + 193*i - 4*i**2 to a + p*i + h*i**3 + t*i**2 and give h.
-14
Express (2 - 2 + t**2)*(-5*t + 3*t + 6*t**2 - 5*t**2) as m + c*t + i*t**2 + r*t**3 + h*t**4 and give c.
0
Express 0 + 1 + 8*n - 3 + 18*n**4 - 15*n**4 as w*n**3 + p + c*n**4 + d*n + m*n**2 and give p.
-2
Rearrange -259*n + 1 + 259*n + 15*n**3 to b*n**2 + x*n + m + q*n**3 and give q.
15
Rearrange 2 - 135*b**4 - 136*b**4 + b**2 + 272*b**4 + 7*b to x*b**2 + g + m*b + r*b**4 + p*b**3 and give m.
7
Rearrange -4*t - t + 2*t to the form p + q*t and give q.
-3
Express (o - o + o)*(14 + 8 + 3) in the form i*o + g and give i.
25
Rearrange 0 + 8 - 2 - 7 - 49*t**3 to the form v + p*t + n*t**2 + h*t**3 and give v.
-1
Rearrange 2*u**3 + 106 - 106 - 26*u + 2*u**2 to c*u**2 + k*u + p + i*u**3 and give i.
2
Rearrange (2*y + y - y)*(-32 - 29 + 64 + y**2) to f*y + k*y**3 + d + n*y**2 and give f.
6
Express -10*k + 6*k + 28*k as c*k + v and give c.
24
Rearrange 7 + 2*f**2 - 10 - 8*f**2 to the form p + a*f**2 + t*f and give p.
-3
Rearrange i**4 - 2*i**3 - 177*i + 177*i + 1 - i**2 to o*i + m + u*i**4 + p*i**2 + y*i**3 and give y.
-2
Express 3*h + 0*h + 4*h - 4*h in the form q + w*h and give w.
3
Rearrange (-6*f**2 - 2*f**3 + 6*f**2)*(5*f + 4*f + 5*f) - 3*f**3 + 2*f**4 + 3*f**3 to k*f**4 + u*f**2 + p + g*f**3 + r*f and give k.
-26
Express 278 - 141 - 139 + 10*b**3 as p*b**3 + u*b + n + v*b**2 and give n.
-2
Express ((-4*c + 2*c + c)*(3 + 3 - 5) + 1 - 2*c - 1)*(1 + 2 - 4 + (3 - 3 + 1)*(-1 - 1 + 4) + 2 - 5 + 5 + 1 - 1 - 2) as d + l*c and give l.
-3
Rearrange 2*y**2 + 2 - 95*y + 80*y - 2 - y**3 to o*y**2 + q + h*y + b*y**3 and give o.
2
Express (-3 + 2 + 0 - 2*d + 8*d**2)*(0*d + 4*d - 3*d)*(7*d - 2*d - d) as l*d + c + x*d**3 + j*d**4 + i*d**2 and give i.
-4
Express (0 - 1 + 3)*(0*h - 1 + 2*h - 1) + (h - h - h)*(-2 + 6 - 1) in the form b + f*h and give b.
-4
Express (8*n**2 - 2 - n**2 - n**2)*(2 + 2 + 1) in the form z + h*n + o*n**2 and give o.
30
Express (-3*f**2 - 15*f**4 + 3*f**2)*(-4 - 1 + 4) in the form d*f**2 + l*f**4 + u*f + o*f**3 + p and give p.
0
Rearrange 13*b**2 - 2*b**3 + 3*b - 15*b**2 + b + 2*b**4 - 1 + 4*b**3 to u*b**3 + x*b + m + s*b**4 + h*b**2 and give u.
2
Express -g**2 - 9*g - 25 + 16 + 9 in the form u*g + n + l*g**2 and give u.
-9
Express 7 - 2 - 5 - 41*o in the form k*o + j and give k.
-41
Rearrange -2*s + 261*s**2 - 4*s**3 + 1 - 523*s**2 + 264*s**2 + 2*s**4 to the form t*s**4 + n*s**2 + q + b*s + i*s**3 and give t.
2
Express 1 + 24*q**2 + 21*q**2 - 18*q**2 as z*q + d*q**2 + t and give d.
27
Rearrange (4 - 1 - 1)*(x - x - 2*x) + 4*x + 0*x + 4*x + 3*x - 3*x - 2*x + 0*x + x + 0*x to the form b*x + d and give b.
3
Express 264*h**3 + 0*h**2 + 13*h**2 + 3*h**2 - 262*h**3 in the form n*h**2 + f*h + r + w*h**3 and give n.
16
Rearrange 1309 - 1309 - 43*k to the form a + f*k and give f.
-43
Rearrange -29*q**2 + 3*q**3 + 62*q**2 - 33*q**2 - 9 to the form x*q**3 + j*q + r*q**2 + u and give u.
-9
Express 10 - 4*h**2 + h**3 + 6*h + 3*h**2 - 3*h - 8 in the form z*h + s*h**3 + i*h**2 + n and give i.
-1
Rearrange (15 - 6*c + 2*c + 2*c)*(3*c**3 - 2*c**3 - 2*c**3) - c**4 + c**4 + c**4 to the form s*c + m*c**3 + h + w*c**4 + g*c**2 and give w.
3
Express (b + 3*b - 6*b)*(-5 + 5 - 2)*(b - 2*b + 3*b) in the form o + v*b + h*b**2 and give h.
8
Rearrange (0 - 3*c + 0)*(0 + 0 + 2*c**2)*(6*c - 110 + 110) to the form f + d*c**2 + k*c**3 + s*c**4 + p*c and give s.
-36
Rearrange (-2 - 8*k + 2)*(-2 + 9 + 2) to the form v*k + w and give v.
-72
Rearrange 2*s**4 + 4*s + 0*s**4 + s**3 - 3*s + s**3 - s**2 to n*s**2 + d*s**3 + i*s**4 + v + x*s and give n.
-1
Rearrange -2*y**4 - y**3 + 6*y + 6*y**4 + 3*y - 6*y + 1 to l*y + w*y**3 + r + u*y**2 + a*y**4 and give l.
3
Rearrange (0 + 622*d - 642*d - 2)*(-d**2 - 2*d**2 + 5*d**2) to l*d**2 + s*d**3 + h*d + x and give s.
-40
Rearrange 24*q - 90*q - 30*q + (-3*q + 2*q - q)*(4 - 4 + 1) + 0*q - 2*q + 0*q to the form b*q + z and give b.
-100
Express -15 - 60*d + 37*d + 22*d as x*d + i and give i.
-15
Express l**2 - 38*l**2 + 6*l**2 as d + c*l**2 + b*l and give c.
-31
Rearrange -1 - 2*y**4 - 3*y**4 + 4*y**4 - 5*y to d*y**3 + s*y**4 + t*y**2 + z + q*y and give q.
-5
Express 41*f**2 + 46*f**2 - 59*f**2 as m*f**2 + g*f + p and give m.
28
Rearrange -2*v**3 - 6*v**3 + 4*v**3 - 3*v**2 + (-1 + 2*v + 1)*(0*v**2 + 2*v**2 - v**2) to q*v + h*v**2 + j*v**3 + c and give j.
-2
Express (2*v - 2 + 2)*(3 + 2 - 4)*(-5*v + v + v + v - 2*v - v + v - 4 + 4 + (-3*v + 2*v + 3*v)*(4 + 0 - 3)) in the form g + y*v**2 + l*v and give y.
-4
Express 4*x - 3*x + 6*x + (-2*x + 3*x - 2*x)*(0 + 5 + 0) as k + h*x and give k.
0
Rearrange -18 + 72 - 28 + 0*h - h to the form n + u*h and give u.
-1
Express 0*r**3 + 5*r**3 + 3*r**3 + (0*r**2 - 5*r**2 + r**2)*(2*r - 3*r + 0*r) in the form j*r + k*r**2 + h + s*r**3 and give s.
12
Rearrange -5*m - 4*m**3 + 4*m + 5*m**3 to the form x*m + y + i*m**3 + u*m**2 and give x.
-1
Express (-3*j + 7*j - 3*j)*(1 - 1 - j) - j**2 - j**2 - j**2 + 2*j**2 - 3*j + j - j**2 as x + s*j**2 + a*j and give s.
-3
Express -2*l**2 - 6 - 1229*l + 1229*l as v*l + w + u*l**2 and give w.
-6
Rearrange 17 + 102*g**2 + 13 - 30 to the form d + a*g**2 + u*g and give a.
102
Express (0*n**2 + 2*n**2 - n**2)*(-3*n + 1 - 10*n + 5*n) in the form k*n + a*n**2 + p*n**3 + c and give p.
-8
Express y**2 - 2*y + 3*y**2 - 3*y + y in the form l + x*y**2 + r*y and give r.
-4
Express (4 - 4 - x**2)*(2 - 1 - 4)*(-4*x**2 - 12*x + 12*x) in the form a*x + d*x**4 + v + y*x**2 + g*x**3 and give g.
0
Rearrange (26*n - 265 + 265)*(0*n**3 + 3*n**3 - 4*n**3) + (2*n**3 + n**3 - n**3)*(-n - n + n) to the form y*n**3 + i*n**2 + u*n + f*n**4 + q and give f.
-28
Rearrange -113*n + 113*n + 1 - 11*n**2 to c + x*n**2 + d*n and | {
"pile_set_name": "DM Mathematics"
} |
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