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f - 1. Let b be k(-3). Suppose 0 = b*s + d - 31, -4*s + s + 46 = 2*d. Calculate the lowest common multiple of 16 and s.
16
Suppose 0 = 3*y - 27 + 87. Let o = -14 - y. What is the least common multiple of 4 and o?
12
Suppose 3*s - s + 108 = 0. Let n = -47213/10 - -4725. Find the common denominator of n and (285/s)/1 + 1.
90
Let c be 1/(-2)*(-23864484758307)/(-522206790). Let x = -1/17406893 - c. Let q = x - 22845. Find the common denominator of q and -67/16.
80
Let l(g) = g**3 + 6*g**2 - 8*g - 7. Let h be l(-7). Suppose h*s = 2*s. Suppose s = 2*x - 0*x - 28. Calculate the lowest common multiple of x and 4.
28
Let d = 43 - 40. Calculate the lowest common multiple of d and 30.
30
Let r = -90 - -51. What is the least common multiple of 10 and r/(-4) + (-6)/(-24)?
10
Let f be -1 - (0/(-3) - 1). Suppose 5*c = -f*c + 20. Suppose -c*v + 40 = 4*g, 3*g - 2*g - 6 = -5*v. What is the least common multiple of 4 and g?
44
Suppose -l + 12 = -5*m, 3*l - 10 + 4 = 0. Suppose 3*k - 42 = -12. What is the smallest common multiple of k and ((-1)/m)/((-1)/(-14))?
70
Let r(w) = 3*w + 7. Let z be r(-5). What is the lowest common multiple of (-6)/z - (-85)/20 and 9?
45
Let r = 16 + -17. What is the common denominator of -9/11 and 130/(-110) + (-3)/r?
11
Let r(z) = z**3 - 6*z**2 - 8*z + 8. Let p be r(7). Let v = 1 + p. Suppose -q + v = -1. What is the lowest common multiple of q and 5?
15
Suppose 2*t + 4 = -3*t + 2*l, -l - 5 = t. Let a(b) = -b**3 + 2*b**2 + 2. Suppose 3*x - 69 + 21 = 0. What is the smallest common multiple of a(t) and x?
144
Suppose 0 = 140*a - 130*a - 60. Suppose 0 = 3*u - 9 - 15. Calculate the least common multiple of u and a.
24
Let o = 5/641 - 23857/17948. Calculate the common denominator of o and -23/32.
224
What is the common denominator of ((-4)/16)/((-3)/75) and 69/2 - (1 + 1)?
4
Calculate the least common multiple of 7*(-3)/(-4) - 1/4 and 7.
35
Let r(u) = -58*u + 7. Let v be r(-7). Let q = -62932 - -312606/5. Let c = q + v. What is the common denominator of 2/7 and c?
35
Let c be 1/(2 - 1)*42. What is the smallest common multiple of (1/(-3))/((-2)/c) and 8?
56
Let v be 32855/((2/3)/(-2)). Let z be v/(-2122)*(-1)/(-9). Let a = 6/1061 + z. Calculate the common denominator of a and -5/12.
12
Let g = 6 + -1. Suppose 0 = g*x - 12 + 2. Calculate the least common multiple of 10 and 456/21 + x/7.
110
Calculate the common denominator of 17/10 + -4 + 3 + -3 and 19/2.
10
Let y = 428845/281602 - 311/206. Let a = y - -37744129/8202. Let u = -4584 + a. Find the common denominator of u and -20/7.
42
Suppose -4*s = -0*s + 64. Find the common denominator of 33/20 and (-22)/(-4) - s/72.
180
Let j = -15 - -25. Suppose -2*i = -0 - 16. Calculate the smallest common multiple of j and i.
40
Let d = -645116 - -3859373/6. Let z = -1881 - d. What is the common denominator of (-261)/120 + (-2)/10 and z?
24
Let f(l) = 7*l - 2. Let g be f(6). Suppose 5*p = -5*i + g, i + 4 = -i. What is the lowest common multiple of p and 2?
10
Let p(v) = -v**3 - 42. Let f be p(0). What is the common denominator of 229/f - 4/(-14) and 49/20?
60
Let q = -30 + 39. Calculate the least common multiple of q and 32.
288
Let a(c) = 2*c - 6. Let f be a(6). Let h = 91 + -161/2. Find the common denominator of h and f/15 - 354/(-15).
2
Let c be 24/28*13*7. Find the common denominator of (c/(-2))/(0 - -10) and 109/18.
90
Let c = -9 + 21. Calculate the lowest common multiple of c and 10.
60
Let n be (-1146)/(-572) + -4 + 2. Let m = -2291/858 + n. Calculate the common denominator of m and 31.
3
Find the common denominator of 1/46 and (-13 - -43)*10/64.
368
Suppose 1 = -2*d - 3. Let p = d - -4. Let b(j) = -j**3 + 7*j**2 + j - 4. Calculate the smallest common multiple of p and b(7).
6
Suppose 0 = 4*w + 2 - 26. What is the common denominator of 49/10 and 4/w + 182/(-48)?
40
Let x = -22 - -24. Calculate the lowest common multiple of 9 and x.
18
Let k(s) = -5*s + 51. Calculate the lowest common multiple of 20 and k(7).
80
Let g(j) = j**3 + 7*j**2 - 8*j + 6. Calculate the lowest common multiple of g(-8) and 65/4 + 7/(-28).
48
Let b = 1685/2 + -889. What is the common denominator of b and -77/18?
18
Let m = 155/2 + -86. What is the common denominator of m and -55/13?
26
Let v = -4 + 13. What is the lowest common multiple of v and 8?
72
Let j(r) = -2*r**2 + 23*r + 16. Calculate the least common multiple of j(12) and 4.
4
Let n be (1/(-2))/(1/33757). Let h = -17752 - n. Let u = h + 844. What is the common denominator of u and -31/6?
6
Suppose -3*g = -5*s - 1, -3*g - g = 3*s - 11. Suppose -2*w = 2*w - 40. What is the smallest common multiple of w and g?
10
Suppose 0 = k - 2 - 1. Suppose -x - 42 = -7*x. Calculate the least common multiple of k and x.
21
Let d(p) = p**2 - 2. Let f(j) = j**3 + 5*j**2 + 4*j + 6. Calculate the least common multiple of f(-3) and d(4).
84
Let n(x) = -x**3 + x**2 + 5*x - 3. Let q be (5 - 2/1)*1. Let s be n(q). Let v = s - -9. Calculate the least common multiple of 2 and v.
6
What is the common denominator of -87/20 and (21/(-22))/((-9)/21)?
220
Let l(q) = q - 6. Let p be l(0). What is the common denominator of 23/20 and 51/90 + (-2)/p?
20
Let c = -2663 - -24031/9. What is the common denominator of -48/5 and c?
45
Let y(c) = c**2 + 11*c + 12. Let q be y(-10). Suppose 32 = 2*r + q*r. What is the smallest common multiple of 16 and r?
16
Let u(f) = f**2 + f - 3. Let a = 91 + -52. Find the common denominator of u(-5) and 2*(2 - a/24).
4
Suppose 0 = -3*x + 5*q + 11 + 30, 5*x + 2*q - 120 = 0. Calculate the smallest common multiple of x and 18.
198
Let d = 251045/32 - 7846. Find the common denominator of d and 83/32.
32
Let m = -1939 - -3789/2. What is the common denominator of 35/12 and m?
12
Let q = -3098 - -4637705/1497. Let x = q - 5486/4491. Find the common denominator of x and -56/5.
45
Let x = 611/2 + -352. What is the common denominator of x and 20/3?
6
Let f(x) = 23*x**2 + x + 2. What is the least common multiple of f(-1) and 6?
24
Let s = -2/4321419 + 10905825443/9420693420. Let d = -5/654 + s. Calculate the common denominator of d and -65/4.
20
Calculate the common denominator of 26/126 - 10/(-45) and -53/5.
35
Find the common denominator of 8/3 and -7*(4 - (-48)/(-7)).
3
Let v be (-80)/(-28)*(-1)/(-376). Let q = 3/47 + v. Find the common denominator of (-4)/2 - 166/20 and q.
70
Suppose 0 = 6*b - b + 10. Let v(f) = -3*f + 2. What is the least common multiple of v(-2) and (10 + -2)/((-1)/b)?
16
Let m = 9 + -1. Suppose 0*t + 4 = 2*t. What is the least common multiple of m and t?
8
Let q be 84/30 - (-2)/10. Let b = 14477/20 - 721. Calculate the common denominator of b and ((-38)/q)/((-28)/21).
20
Let w = -8 - -8. Suppose -3*a + 36 = -w*a. What is the least common multiple of a and 0 + 0 + 2 + 8?
60
Let o = -4769269/9210 - -3107/6. Let l = -47609/9210 - o. Let b = -9/20 - -919/20. Calculate the common denominator of l and b.
6
Let g = 1 - 6. Suppose 1057 = 5*q - 1318. Find the common denominator of q/g*1/4 and 56/11.
44
Suppose b - 5*m + 5 = -4, 12 = 2*b + 5*m. What is the common denominator of b + 1*(-146)/28 and 46/8*(-2)/10?
140
Let k = 3 - -19. Suppose -2*s = -4*a - 44, 4*s - 84 = 4*a - 0*a. What is the smallest common multiple of k and s?
220
Calculate the common denominator of 51/8 and -5 - (-134)/26 - 1445/182.
56
Let m(u) = u**2 - 15*u + 18. Let n be m(14). Suppose -18 = -n*c + 2*c. Let i = -5 + 11. What is the least common multiple of c and i?
18
Let n(k) = -k - 7. Let x be n(-10). Find the common denominator of -1*x + 806/(-39) and 89/10.
30
Let q = 1755/2 - 905. Find the common denominator of q and 17/20.
20
Let k = -25 + 32. Suppose k*l - 12 = 16. Calculate the lowest common multiple of l and 12.
12
Suppose -c - 2*h + 8 = 0, 4*c = 3*h - 5*h + 38. Calculate the least common multiple of c and 1.
10
Suppose -3*w + 2*w - 140 = 2*m, 3*w + 4*m = -416. Let z be 6/(-134)*(-29606)/w. Let q = z + -3/1139. Calculate the common denominator of 45/4 and q.
4
Let u(y) = 19*y. Calculate the smallest common multiple of 7 and u(1).
133
Suppose -2*y - 1 = -5. Find the common denominator of 12/(-10)*y/6 and 22/12*(-18)/(-4).
20
Suppose -5*r - 31 = -3*o, -o + 3*r = 4*r - 13. Suppose 3*g - 21 - o = 0. What is the least common multiple of 10 and g?
110
Suppose -23 = 2*y - 3*b, y - 11 = -5*b + 10
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{
"pile_set_name": "DM Mathematics"
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Let p = 1465.2 - 1465. Let w be ((-4)/(-16))/(1/8). Suppose 5*j = -22 + w. Which is the smallest value? (a) j (b) p (c) -6
c
Let w = -0.33 - -19.33. Let o = w - 19.3. Suppose 5*d - 11 = -4*f + 14, 3*f = -2*d + 10. What is the second smallest value in 0, d, o?
0
Let r = -47419/42 - -1129. Let n = 27 - 23. Which is the second smallest value? (a) -0.3 (b) r (c) n
b
Let b = 23 + -48. Let g = -25 - b. Let t = -3 - g. What is the third smallest value in t, 0.7, -3/4?
0.7
Let z = -11746/555 - -788/37. What is the third smallest value in z, 10.81, -4?
10.81
Let h = -59.737 - -60. Let o = h - 0.26. Let g = -4.003 + o. Which is the fourth smallest value? (a) 2/7 (b) g (c) 1 (d) -1/10
c
Let b = 430 - 393.7. Let m = -36.6 + b. Let w = -0.3 + 1.3. What is the smallest value in w, -1/13, m?
m
Let c = -73 - -84. Let t = 9.1 - 14.1. What is the third biggest value in 5, -1, t, c?
-1
Let q = -11 - -23. Let u = -7 + q. Let j = -1596 - -17552/11. Which is the biggest value? (a) u (b) j (c) 2
a
Let m(p) = p**3 + 7*p**2 - 15*p - 21. Let x be m(-9). Let n be ((-2)/8)/(x/64). What is the second biggest value in n, 0.3, -1/6?
0.3
Let s = -1142/3 - -400. Let l = -113/6 + s. Which is the second smallest value? (a) -2 (b) -0.4 (c) l
b
Let j = 5296 + -5298. Which is the third biggest value? (a) 2 (b) 3/7 (c) j (d) 4 (e) -0.4
b
Let f = 55 - 54.7. Let k = -6 - -5.6. Let w = 795/4 + -199. Which is the biggest value? (a) -4/3 (b) f (c) w (d) k
b
Let f = -5918 - -5916. What is the second biggest value in f, -27/5, -5?
-5
Let m = -0.04185 - -0.02685. Which is the biggest value? (a) 9 (b) m (c) 2/5
a
Let l = -0.02 + 0.52. Let t = -16 + 58. Let q = -8961 - -8960. Which is the biggest value? (a) t (b) l (c) q
a
Let w = -0.3404 - -0.4304. Which is the second biggest value? (a) -12 (b) -3/7 (c) w
b
Let s = 133/22 - 61/11. Let p = -0.01 - 0.04. Which is the second biggest value? (a) p (b) 1/3 (c) s
b
Let m = -1.161 + 6.161. Which is the second biggest value? (a) m (b) 3 (c) 0.05 (d) 11
a
Let x be ((-120)/132)/(10/(-44)). Which is the biggest value? (a) 69 (b) 0.6 (c) x
a
Suppose -61*t = -5*t + 112. Which is the fourth biggest value? (a) 34 (b) -5 (c) -0.4 (d) t
b
Let v = 465/3656 - 1/457. Let m = 80/3 + -26. Let q = 11 + -9. Which is the fourth smallest value? (a) q (b) v (c) 4 (d) m
c
Let d be ((-198)/9 - -18)/(1/5 + -1). What is the biggest value in 43/5, d, -2/15?
43/5
Let z = 6.68 + -10.68. Let m = -8 - -2. Let r = 6.4 + m. What is the second smallest value in z, r, 0.5?
r
Let n = 15.795 - 15.195. Which is the second smallest value? (a) n (b) -1 (c) 3 (d) -114
b
Let q = -126 + 8. Let d = -123 - q. What is the third biggest value in 0.1, d, -0.1, 42?
-0.1
Let x = 1971 - 1970.9. Which is the third biggest value? (a) x (b) 7/8 (c) 3 (d) -4
a
Suppose -43*h + 556 - 156 = -143*h. Let q be (3/10)/(84/70). Which is the fourth smallest value? (a) h (b) -0.4 (c) 0.5 (d) q
c
Let l = -86 + 86.13. Let q = -0.025 + -0.205. Let g = l + q. Which is the second smallest value? (a) -1 (b) -3 (c) g
a
Let y = 2963 + -927416/313. Let t = 304/939 + y. Which is the second smallest value? (a) 33 (b) -1 (c) t
c
Suppose 53*p = 50*p - 12*x + 39, 0 = x - 4. Let f be 15/(-108) - 1/(-4). Which is the biggest value? (a) f (b) -1 (c) 0.2 (d) p
c
Let p(f) = 12*f**2 + 41*f - 27. Let i be p(-4). Which is the third biggest value? (a) -10/41 (b) -2 (c) i
b
Let q = 2.97 - -0.03. Let n = -67097/2 - -33548. Let v = 0 + 0. What is the biggest value in n, q, v?
q
Let h = 1.323 - 1.36. Let s = h - -0.937. What is the smallest value in 1/6, -1, 1, s?
-1
Suppose 2*v = 2999 - 2981. Which is the fourth smallest value? (a) 0 (b) 1/6 (c) -1 (d) v
d
Let t be 550/693 + (-16)/28. Which is the smallest value? (a) -14 (b) 2 (c) t (d) -1/6
a
Let m = -32.201 + 32.6. Let t = m + -0.699. What is the second smallest value in 0.5, 62, t?
0.5
Let p be (84/(-840))/(1/(-4)). What is the fourth smallest value in 0, 0.1, 1/4, 6.01, p?
p
Let i = 0.319 - -0.093. Let m = -0.012 + i. Let s = -25 + 31. Which is the second biggest value? (a) m (b) s (c) -3
a
Let p = 1.913 + -3.913. Let r(u) = u**2 + u + 1. Let v be r(-2). Suppose z - 8 = -v*z. Which is the biggest value? (a) p (b) 0.1 (c) 4 (d) z
c
Suppose -18 = -3*w - 2*l, -469 = -3*l - 460. Let z be 18/(-45) + (-47)/(-30). Let o = -3/2 + z. What is the biggest value in o, -14, w?
w
Let i = -26088 + 26087.6. Let t = 2.1 + -2. Let y = -3.1 + t. What is the fourth smallest value in 2/15, i, y, -0.2?
2/15
Suppose -2*k - 1004 = -m - 7*k, -1 = -k. Let i = m - 3997/4. Let o = 3 - 8. Which is the smallest value? (a) o (b) i (c) 1.2
a
Suppose 24*w = -2*j + 21*w + 15, 4*j + 5*w = 31. Let k be 12/8*j/(-54). Which is the second biggest value? (a) k (b) 5 (c) 1 (d) -0.1
c
Suppose -4*j - 3*o - 5 = 0, 0 = 3*j + j + 4*o + 4. Let d be (22/55)/(36/(-20)). Which is the smallest value? (a) -0.5 (b) j (c) d
b
Let r = 23784 + -23655. What is the second biggest value in -1/6, 4, r?
4
Suppose 3*m = -3*p + 6*p + 18, -p + 3 = 0. Suppose -m = -5*n + 11. Let w = 0.2486916 - -0.0513084. Which is the third smallest value? (a) 2/7 (b) n (c) w
b
Let q = 14.924 + -0.924. Let j be -4 + -3 + 0/1. Which is the third smallest value? (a) j (b) -0.1 (c) 0 (d) q
c
Let h = -19.74 + 23.74. Let o be ((-52)/6)/(4/(-6)). Let t(x) = -x**3 + 13*x**2 - x + 9. Let g be t(o). What is the third biggest value in -1, h, g?
g
Let w = -304 + 3954/13. Let c be (-1)/11 + (-45184)/2464. Let n = c + 131/7. What is the biggest value in -1/9, w, n, -7?
n
Let v = 0.01462 + -0.31462. Which is the smallest value? (a) -1/5 (b) v (c) -17/4 (d) -2/217
c
Let q = 19166 + -55565/3. Let b = q - 645. What is the second biggest value in 10/3, b, 0.8?
0.8
Let o = -31297 + 31399. Which is the fifth smallest value? (a) -1/11 (b) -1/3 (c) 6/11 (d) 1 (e) o
e
Let p = 0.277 - -0.003. Let m = 0.28 - p. Let x = 3.8 - 3.84. Which is the smallest value? (a) x (b) m (c) 3 (d) 4
a
Let q = -0.0964 + 514.0964. Let o = 514.1 - q. What is the biggest value in o, -27, 3, 0.2?
3
Let r = -6 + 8. Suppose -2*p + 6 = -5*s, 12 = 4*p - 3*s + r*s. Let d = 132.7 - 133. What is the second smallest value in p, d, -1/7?
-1/7
Let i = -170 - -2892/17. Let v = 233.5 + -234. Which is the smallest value? (a) v (b) i (c) -12 (d) 5
c
Let u be 3346/(-1195) - 4*1/(-5). Which is the third biggest value? (a) -5 (b) -257 (c) u (d) -3
a
Suppose 4*h + 2*x = 3*h - 4, 11 = 4*h - x. Let g = -6 - -2. Which is the smallest value? (a) h (b) -12 (c) -2 (d) g
b
Let n be ((-30)/105)/((-5)/14)*35. Let r be -4 - (63/n)/((-6)/32). Let s = 0.6 - 0.3. What is the smallest value in s, -1, r, 1/5?
-1
Let x be (3/1830)/(104/(-416)). What is the second smallest value in 2/7, 3, x, -3?
x
Let p = 4433/1413 + -510/157. Which is the fourth smallest value? (a) 2 (b) p (c) 0.06 (d) -4
a
Let i = 3196 - 3031. Which is the third biggest value? (a) i (b) 5 (c) -0.4 (d) -2
c
Let k = 3/2 - 2. Let w = 8446 + -42234/5. Which is the third biggest value? (a) w (b) k (c) -4/7
a
Let s = -21.6 + 7.1. Let y = s + 14.9. What is the biggest value in 2/53, y, 3?
3
Let x(k) = 64*k - 280. Let p be x(5). Let r = 93 - p. What is the biggest value in -0.1, 2/3, r?
r
Let z = -0.5574 + 0.3574. Suppose -2*b + 3*l + 2*l = 6, l = -2*b + 18. What is the biggest value in b, z, 2/25?
b
Let j = 0.2 + -1.2. Suppose -7*z - 240 = -12*z. Let f be z/(-45) + (18/(-30) - -1). Which is the second smallest value? (a) 0.1 (b) j (c) 2 (d) f
d
Let n(t) = 12*t - 533. Let h be n(43). Which is the fourth smallest value? (a) 5/2 (b) h (c) 4/9 (d) 13 (e) 0
a
Let x = -11754.7 - -11755. What is the third biggest value in x, 1.57, -2/13?
-2/13
Let r = 0.34422 + -0.14422. Which is the fourth biggest value? (a) r (b) 0.1 (c) -0.2 (d) -0.1 (e) 8
d
Let w = 670 - 320. Let c = 370 - w. What is the second biggest value in -1, c, -0.4?
-0.4
Let j be (-4)/(6/3)*16040/112. Let t = 287 + j. What is the second smallest value in t, 4, -0.3?
t
Let n(v) = 123*v - 979. Let k be n(8). Which is the fourth biggest value? (a) 1.1 (b) k (c) -0.1 (d) 2
c
Suppose 0 = -4*k + u - 2*u + 2, 5*u = -k + 10. Suppose -9*j + 52 - 70 = k. Which is the f
|
{
"pile_set_name": "DM Mathematics"
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|
0 = -8*u + 11596 - 3324. Suppose -618 = 3*d - 2*t, 4*t + u = -5*d + 6*t. Let b = -18 - d. Does 19 divide b?
True
Let c(s) = -2*s**3 + 6*s**2 + 3*s + 5. Let a be c(4). Let q(p) = -24*p - 50. Does 31 divide q(a)?
True
Let r be (-1 - -5) + (-6 - (5 - 372)). Suppose -8*m + 10*m - 3*a - 141 = 0, 5*m + 5*a - r = 0. Is m a multiple of 6?
True
Let u be (-464)/(-6) - (16/12 + -1). Let w = u - 25. Suppose r + 5*k = k + w, 0 = -3*r + 2*k + 128. Is r a multiple of 18?
False
Let s = 80 + -77. Suppose -u - o = -54, -4*o - 3 = -s*u + 138. Is u a multiple of 8?
False
Suppose -11*j + 18 = -2*j. Suppose 7 = j*o - 0*r + r, 12 = 3*o + 3*r. Suppose -5*n + 82 = d, o*d - 107 = -5*n + 159. Is d a multiple of 18?
False
Suppose 4*z - 142 = -3*h + 1090, 0 = -5*h - 5*z + 2050. Does 3 divide h?
True
Let q(h) = h**3 + 17*h**2 + 9*h + 165. Is 150 a factor of q(15)?
True
Suppose 2*f + 0*u + u + 8 = 0, f - 7 = 5*u. Let o(g) = 8*g + 46. Let l be o(-6). Is l + 20 + f + 6 a multiple of 3?
True
Suppose -49023 + 144027 = 28*b. Is 23 a factor of b?
False
Let n = 224 + 760. Is n a multiple of 82?
True
Let g(u) be the second derivative of 25*u**4/12 + u**3/2 + 3*u**2/2 + 8*u + 5. Does 68 divide g(-2)?
False
Suppose -3144*j - 95 = -3139*j. Let v(r) be the first derivative of -r**3/3 - 21*r**2/2 + 14*r + 3. Does 26 divide v(j)?
True
Suppose -3*h + 310 = 7*h. Suppose -4*c - 154 = -3*o, -h - 21 = -o + 2*c. Is 10 a factor of o?
True
Let w(o) = -5*o**2 + 23*o - 17. Let f be w(8). Let a = 241 + f. Does 11 divide a?
True
Let n(s) = -49*s**2 + 1. Let j be n(-1). Let y = 32 + j. Let f = y + 133. Is 16 a factor of f?
False
Let k be -4 + 9 + (-1 - 4). Suppose -4*m - 3*u + 272 = 0, -u + 240 = 3*m + 36. Suppose 4*o = -k*o + m. Does 2 divide o?
False
Let n = 19742 + -6198. Is 60 a factor of n?
False
Let q(r) = 2*r**2 - 15*r - 13. Let l(t) = -37 + 14*t - 16*t + 14*t. Let h be l(4). Does 8 divide q(h)?
True
Suppose w - 225 = -2*u, -4*w + 624 = 4*u - 252. Does 2 divide w?
False
Let d be (-5 - (-5)/3)*-36. Let a = d - 107. Is a a multiple of 2?
False
Suppose 388 = -4*j + 4*r, 3*j - r = 7*j + 398. Let a = j - -128. Does 5 divide a?
False
Let g = -14168 + 15706. Is g a multiple of 2?
True
Let u = -6616 - -7100. Is 10 a factor of u?
False
Let d(m) = -m**2 + 8*m - 11. Let w be d(2). Let h be w + -3 - -5 - (13 + -1). Let j(t) = 2*t**2 + 7*t - 5. Is 7 a factor of j(h)?
False
Let o(z) = 3*z**2 + 29*z - 5. Suppose 4*p + 55 = -5*w, 2*p + 22 = -5*w - 13. Let j be o(p). Suppose -8*m + j*t = -5*m - 250, -80 = -m + t. Is 4 a factor of m?
False
Suppose 3*b + 3*b = 24. Let m(j) = -b - 243*j - j**2 + 0*j**2 + 234*j. Is 2 a factor of m(-7)?
True
Suppose 0*t - 48 = 18*t + 6*t. Let q(p) = -206*p - 13. Let y(f) = 103*f + 7. Let n(z) = -3*q(z) - 7*y(z). Is n(t) a multiple of 10?
False
Is 12/(-27) - 42929488/(-1764) a multiple of 156?
True
Let g = -4855 + 8713. Is g a multiple of 37?
False
Let p = -393 + 692. Let a = 329 - p. Does 10 divide a?
True
Let j be ((-3)/2)/((-141)/470). Let t(c) = -12*c**2 + 83*c + 6. Does 3 divide t(j)?
False
Let i(y) = 3*y**3 - 38*y**2 + 8*y - 223. Is i(19) a multiple of 53?
False
Let u(f) = f**3 - 8*f**2 - 37*f + 256. Let l be u(9). Suppose 2 = 2*b + 2*o, 5*o = -2*b + 7*b - 5. Does 13 divide ((-78)/(-24))/(1/l*b)?
True
Let d(q) = -q**3 - 14*q**2 - 58 + 105 - 71 - 12*q. Does 48 divide d(-14)?
True
Let c(z) = 2*z**2 - 2*z + 9. Let u(k) = -k**2 + k - 2. Let p(w) = -c(w) - 4*u(w). Does 2 divide p(-2)?
False
Let f = 117619 + -82287. Is f a multiple of 14?
False
Let z(k) = k**3 + 6*k**2 - 2*k - 12. Let c be z(-5). Suppose -g - 22 + c = 0. Suppose -3*m - 13 = -g, -2*m = -4*n + 152. Is 8 a factor of n?
False
Let r(x) = -36*x - 73. Let h be r(-3). Suppose 0 = 8*w - h - 949. Is 3 a factor of w?
True
Suppose 2*o + 301 = 311. Suppose 73 = o*v + 4*x - 211, 0 = -v + x + 55. Is v a multiple of 40?
False
Let x = 18 - -26. Let l(k) = 2*k**2 + k - 259. Let q be l(-11). Let j = x - q. Is j a multiple of 23?
False
Let o(j) = -8*j - 127. Let t(y) = 7*y + 128. Let c(s) = -6*o(s) - 5*t(s). Does 41 divide c(19)?
True
Let n(i) = -i**3 + 38*i**2 - 95*i + 221. Is 11 a factor of n(26)?
True
Let s = -122 + 123. Let l(c) = -7 - 4*c + 6*c - 4 + s + c**2. Is 38 a factor of l(-8)?
True
Suppose 5*u + 5 - 25 = 0. Suppose 13*l - 396 = u*l. Let y = l - -17. Is y a multiple of 9?
False
Suppose 2*t - 2124 = 1468. Suppose 3*y - 505 - t = 0. Is y a multiple of 8?
False
Suppose -382 - 1158 = 20*k. Is 75 a factor of 1/(1 + 10) + (-11543)/k?
True
Let a = 15951 + -11688. Is a a multiple of 25?
False
Let i be 28/63 + (-129136)/(-72). Suppose 531*h - 525*h = i. Does 13 divide h?
True
Suppose -76*q - 3108 = -88*q. Let r = 332 - q. Does 14 divide r?
False
Let g(v) = -8*v + 24. Let q be g(-6). Suppose -2*b = -5*a - 929, 0 = -b - 0*a + 2*a + 466. Suppose 10*x + q - b = 0. Does 12 divide x?
False
Suppose -4*u - 5*a - 157 = 146, 353 = -4*u + 5*a. Let z = -59 - u. Suppose 22 + 36 = 3*j - 2*b, -j = 3*b - z. Is 10 a factor of j?
True
Let s be 8/(-16) + (-8540)/(-8). Let j = s + -392. Is j a multiple of 45?
True
Let q = 695 + -223. Does 24 divide q?
False
Let l = 289 - 298. Is 3804/32 + l/(-72) a multiple of 21?
False
Let l = 51 - 74. Is 17 a factor of (l - -218)/(1 + 2 + -2)?
False
Let z(r) = -r - 1. Let o be z(-3). Let g be 6/((-1)/o - (-2 - 0)). Suppose -f = g*m - 244, 111 = 2*f + 3*m - 357. Is f a multiple of 43?
False
Suppose -z = 5*j - 19, -4*j - 3 = -15. Suppose 3*l - 461 = z*v, 2*v + 5*l + 77 = -160. Let w = v + 212. Does 8 divide w?
True
Suppose 22*i - 16*i - 984 = 0. Let l = -71 + i. Is l a multiple of 20?
False
Let r(n) = -5*n**3 - 169*n**2 - 38*n - 69. Does 21 divide r(-34)?
False
Let l = -29 - 18. Let h be 0 - 0 - (2 - l). Let j = h + 69. Does 10 divide j?
True
Suppose -9 = -2*b + 3*k, k + 4*k + 30 = 5*b. Let m(v) = 4*v + b*v - 13 - 19*v - 11. Is 13 a factor of m(-8)?
False
Suppose 0 = 5*n + 15, 3*x - n - 816 = n. Is x a multiple of 15?
True
Let f(h) = -h**2 + 45*h + 328. Let j(z) = 7*z - 63. Let c be j(9). Is 49 a factor of f(c)?
False
Suppose 5*a - 719 = 4*x + 1185, 2*x - 1898 = -5*a. Let p be (-3)/18 - a/24. Let n = 22 + p. Does 4 divide n?
False
Suppose 13*j - 3970 = 8*j + 5*k, 3*k + 3174 = 4*j. Suppose 7*q - j = -4*q. Is q a multiple of 8?
True
Suppose 19*v - 6*v = -3081. Let f = 70 + v. Let c = 247 + f. Does 8 divide c?
True
Suppose -6*j - 5*t = -j - 45, 0 = 5*j + 3*t - 37. Suppose -14 = 3*l - 5, -j*l = i - 147. Does 9 divide i?
True
Let i be 1/(1 + (-308)/304). Let u = i - -560. Is u a multiple of 44?
True
Let b = -22 - -20. Let r(p) = 13*p + 9. Let k(j) = -2*j + 3. Let u(x) = 5*k(x) - r(x). Is 7 a factor of u(b)?
False
Let y be 3/(-6)*2 - -3. Let n = -25 + 30. Suppose 5*c - 59 = y*c - 2*l, 0 = n*c + 2*l - 97. Is 19 a factor of c?
True
Let k(a) = -3322*a + 792. Is k(-4) a multiple of 110?
True
Let q be (-5720)/(-50) + (-2 - (-26)/10). Suppose 20 + 95 = 3*d + 4*x, -5*d - 5*x = -185. Suppose d*b + q = 38*b. Is 23 a factor of b?
True
Let w = -194 - -196. Suppose n = -5, w*y + n - 586 = -173. Is y a multiple of 19?
True
Let o(x) = 1841*x**3 - 19*x**2 + x - 3. Is o(1) a multiple of 13?
True
Suppose 0 = -f + 9 + 45. Let q be 2/7 + 1 + 25/35. Suppose 0 = -4*h - q*h + f. Does 2 divide h?
False
Suppose 0 = 5*m - 0*h + h + 101, -5*m = -3*h + 117. Let f be (-8)/(-6)*(m/(-6) - 2). Suppose 0*d + f*d = 70. Is 14 a factor of d?
False
Let f(q) = 5 + 5 + q**3 - 5 + 5*q**2 - 10*q. Is 5 a factor of f(4)?
False
Let o(q) = -2 - 10*q + 0 - 2 + 2. Let i = -137 + 126. Is 10 a factor of o(i)?
False
Let d be (-10)/(-35) + 13/14*74. Let t = 201 - d. Let b = t + -18. Is 15 a factor of b?
False
Suppose 1198 = 7*x - 27. Is 63 a factor of 490/x*(-3)/(-2)*60?
True
Let h(o) = -o + 21 - 53 + 29. Let t be h(-9). Suppose 0*b - t = 3*b, 3*b = -4*w + 162. Is w a multiple of 14?
True
Suppose -11*f + 8*f + 4*i + 4141 = 0, -2774 = -2*f - 4*i. Does 4 divide f?
False
Let t = 92 - 87. Suppose -t*j = -2*j - 2091. Does 41 divide j?
True
Let o(i) = -7*i - 197. Let w be o(-18). Let j = w + 91. Does 19 divide j?
False
Suppose 681912 = 664*z - 631*z. Is 6 a factor of z?
True
Let z(x) = -x + 168. Let a be z(20). Suppose 3*m - 268 = -4*y, a = 2*m - 3*y - 2*y. Is m a multiple of 64?
False
Suppose 0 = -4*c - 3*l + 6 + 475, 4*l = -5*c + 601. Let i = c + 51. Is i a multiple of 9?
|
{
"pile_set_name": "DM Mathematics"
}
|
g order.
r, -2/9, a
Let z be -2 - (0 - -1)/(3/(-12)). Put 5, z, -1, -25 in increasing order.
-25, -1, z, 5
Let i = -271/7 + 39. Put -3, i, -4 in descending order.
i, -3, -4
Let d = 9 + 3. Let a be 2/6 - 19/d. Let s = 63.8 - 61.8. Put a, 0, s in decreasing order.
s, 0, a
Let w = 2 - 7. Sort w, -6.6, -0.1, -0.4 in decreasing order.
-0.1, -0.4, w, -6.6
Let s be 150/2 - 30/10. Sort 3, 1, s in increasing order.
1, 3, s
Let v = -541 + 544. Sort -8, -3, 2, v in decreasing order.
v, 2, -3, -8
Let z = -166 + 163. Put 0.19, z, 1/4 in ascending order.
z, 0.19, 1/4
Let f(v) = v**3 + 11*v**2 + 5*v + 13. Let p be f(-8). Let j = p - 160. Put j, -12, -1, 0 in decreasing order.
j, 0, -1, -12
Let n(o) = -o**2 - 14*o - 22. Let v be n(-14). Sort -1, v, 2 in descending order.
2, -1, v
Let o(g) be the third derivative of 5*g**4/24 - 10*g**3/3 - 9*g**2. Let h be o(5). Let v be (-6)/(-4)*(-1)/(-2). Sort h, v, 3/8.
3/8, v, h
Let q = 1082 - 1082. Let b = 4 - 7. Sort q, b, -8.
-8, b, q
Let j be (475/(-76))/(-25) + 1/4. Put -12, -2, j, -1/2 in ascending order.
-12, -2, -1/2, j
Suppose -m = -3*m - 8. Suppose -9*c + 5*c = -i - 17, 3*c = 5*i + 34. Sort -1, i, m, 0.
i, m, -1, 0
Suppose -4*f + 4*n = -20, 0*n = -5*f - 5*n - 15. Sort 0, 105, -4, f in ascending order.
-4, 0, f, 105
Let z = -295 - -295.1. Let n = 6 + -2. Sort n, 4/5, z.
z, 4/5, n
Let f(h) = h**3 + 36*h**2 + 36*h + 36. Let d be f(-35). Put -2, d, 16 in descending order.
16, d, -2
Let o be 24/3*-1 + 3. Let a be o + 4 + 4/7. Put 13, 2/7, a in increasing order.
a, 2/7, 13
Let g be 3 - (5/(-5) - 3). Let x = g - 3. Sort 5, -16, x, 3.
-16, 3, x, 5
Let p be (-4)/(-7)*(-135)/180. Put p, -20, -3 in increasing order.
-20, -3, p
Let k(j) = 65*j**2 + 2*j - 3. Let x be k(3). Let r be x/(-315) - (2/(-2) + -1). Put -1, -0.5, -3, r in descending order.
r, -0.5, -1, -3
Let l(h) = 2*h**2 - 14*h - 36. Let a be l(-2). Put 5, a, 1, -1 in increasing order.
-1, a, 1, 5
Let w be 4 - (0 - 24/4) - 5. Sort -2, -4, w.
-4, -2, w
Let f = -0.09 - 0.15. Let y = f + 0.24. Let h be 14/30 - (-1)/3. Sort h, y, 2/7 in descending order.
h, 2/7, y
Let j = -7.8 - -8.8. Sort j, -1, -1/6 in ascending order.
-1, -1/6, j
Suppose 2*p = -4, -5*a - 2*p + 136 - 15 = 0. Sort 1, a, -4, 4.
-4, 1, 4, a
Let y(p) = p**2 + 5*p + 2. Let v be y(-5). Let z = -0.0444 - 0.0256. Put z, -5/6, v in increasing order.
-5/6, z, v
Suppose 3*q + 2*q = -40. Suppose -105 = -11*f - 50. Sort -3, 4, f, q.
q, -3, 4, f
Let q = -24 + -1. Let p be (-3 - 170/(-55))*(1 - -1). Sort -5, p, q in decreasing order.
p, -5, q
Suppose 0*a - 5*a - 18 = p, -2*a + 5*p = -9. Let r be -4 - 2*(a - 1). Put -8, 0, r in descending order.
r, 0, -8
Let p = 0 - 3. Let m = -5602 + 5597. Sort -15, p, m.
-15, m, p
Suppose -j + 4*j + 79 = -2*h, 0 = 4*h - 3*j + 131. Let y be (0 + -2)/(-6 + (-12 - -26)). Sort y, h, -3 in increasing order.
h, -3, y
Let x = -4.77 - -3.87. Sort -3/5, 8, x in descending order.
8, -3/5, x
Let t = -5 + 4.94. Let q = 2.06 + t. Let i be (-5)/(-3)*14/(-35). Put -1, i, q in decreasing order.
q, i, -1
Let c = 2/1253 - -2480/16289. Sort 4, -0.3, c, -0.1 in decreasing order.
4, c, -0.1, -0.3
Suppose 0 = -5*v - 4*t - 5, 8*v - t + 4 = 4*v. Let r = -4 + 12. Suppose -f = 4*w + w - 4, -2*f - 2*w = -r. Put -3, v, f in descending order.
f, v, -3
Let r be (-2)/10*(113 + -118). Suppose -s - 8 = -5*s. Suppose 15 = m - 4*a, -s*m - 2*m - 3*a - 35 = 0. Sort -1, m, r in descending order.
r, -1, m
Let c = 0.2 - 0.7. Let w = 479.4 + -478.9. Put 1, w, c, 0.2 in decreasing order.
1, w, 0.2, c
Let h = -7 - -3. Suppose -6*n + 1052 = -556. Let x = n + -268. Put 1, x, h in ascending order.
h, x, 1
Let y be -3 + (2/1 - 3). Suppose 4*n - 3*n = 9. Suppose -n*k + 6*k = -6. Sort y, k, 1 in descending order.
k, 1, y
Let m be -5*(-3*(-147)/35 - 1). Sort -4, m, 1 in decreasing order.
1, -4, m
Let b = -2160 - -2154. Sort -114, b, -3, 0 in decreasing order.
0, -3, b, -114
Suppose 7*o = -12*o + 114. Put 1, -4, -5, o in ascending order.
-5, -4, 1, o
Let u be (-2)/4 - (-33)/(-6). Let t(g) = 2*g + 1. Let m be 0/(-3) + 1 + -1. Let h be t(m). Sort -3, h, u in descending order.
h, -3, u
Let w be 45/(-231) + 3/(-33). Put w, 4, 1/7, 0.9 in increasing order.
w, 1/7, 0.9, 4
Let i be 44/48 + (-20)/30. Sort -2/7, -1, -4, i in increasing order.
-4, -1, -2/7, i
Let u be 4 + -1*1*-1. Let v = -159 - -184. Suppose -14*g = -v - 31. Sort 2, u, g in increasing order.
2, g, u
Suppose -5*j + 3*h + 6 = 0, -123*j + h + 12 = -118*j. Put j, 0.1, 71 in increasing order.
0.1, j, 71
Suppose 16 + 2 = -6*c. Let x(a) = -82*a - 16 + 13*a**2 + 3*a**3 + 67*a - a**3 - a**3. Let b be x(-14). Put c, b, 0 in increasing order.
c, b, 0
Let g = -0.1827 - 3.8003. Let z = -0.017 + g. Put z, -3, 0.4 in descending order.
0.4, -3, z
Suppose -3*b = -n + 12, -b + 4*n = 2 + 2. Let q(u) = u - 2. Let x be q(2). Sort b, x, -3.
b, -3, x
Let o = 5 + -5.06. Let v = o + 0.04. Let c = v - -2.02. Sort 1, c, -2 in descending order.
c, 1, -2
Let w be ((-1)/4*4)/((-5)/(-20)). Sort w, -63, -2.
-63, w, -2
Suppose 6*a + 1 = 5*a. Let t be a/2 + 34/(-4). Sort -5, t, -1 in decreasing order.
-1, -5, t
Let c(x) = 4*x - 35. Let n be c(8). Let v be (-4)/(-6) - (-4)/3. Sort -5, v, n.
-5, n, v
Let n = 3 - -4. Let r = -16 + n. Sort 3/2, -5, r, 2 in decreasing order.
2, 3/2, -5, r
Let m = 77 - 165. Let d = m + 84. Put 3, 1/4, d in descending order.
3, 1/4, d
Let y = -13.5 + 13. Let u = 0.23 - -12.77. Let i = u + -13.1. Sort i, 5, y in ascending order.
y, i, 5
Let v(d) = 23*d + 98. Let l be v(-4). Put 22, l, 2 in ascending order.
2, l, 22
Let u be 4*8/(-16)*1. Put 11, u, -4 in increasing order.
-4, u, 11
Let i = 8819 + -8819. Let r = 7 - 3. Sort -2, r, 5, i in decreasing order.
5, r, i, -2
Suppose -2*n = -2*f + 14 - 0, -1 = -2*n - 3*f. Let p = -11 + 14. Let o = -30 - -29. Put p, n, o in ascending order.
n, o, p
Suppose 3*c + c + 4*g = -4, -5*g = -2*c + 5. Suppose c = -0*x + 5*x - 25. Let p be (1 - 2)/(4/24*3). Sort 0, p, x.
p, 0, x
Suppose 0 = -5*l + 3*m + 30, -2*l = 4*m - 2 + 16. Let g = 212 + -214. Let c = 0 + 0.1. Sort l, g, c in decreasing order.
l, c, g
Suppose -6*n - 19 = 5. Sort 0.4, n, 130 in ascending order.
n, 0.4, 130
Suppose -55 = -5*h - 5. Let p = h - 11. Put p, 2, -2 in descending order.
2, p, -2
Let z be (-2)/3*(-18)/4. Suppose z*r + 6 = 0, 0*y = 3*y - r + 1. Let b be 3 + -3 + 4 + -2. Sort b, y, -4 in ascending order.
-4, y, b
Let v(b) = -14*b + 37. Let i be v(1). Sort -1, i, -2 in increasing order.
-2, -1, i
Let r(f) = -f**2 - f + 2. Let m be r(3). Suppose -2*q + 35 = 3*q. Let o = q + m. Sort 0, o, -5 in decreasing order.
0, o, -5
Let z be ((-81)/18 - -5)/(2/12). Let x = 11 - 7. Let o = -3.6 + x. Sort 2, o, z in ascending order.
o, 2, z
Let v = 91 + -47. Let o = v - 49. Let n = 0.5 - 1.5. Put o, 0.2, n in decreasing order.
0.2, n, o
Let v = -1 - 2. Let l = 11 + -7. Suppose -2*f - 10 = -14. Sort l, f, v.
v, f, l
Let k be (-4)/12*((-22)/(-1) + -7). Sort -13, 3, 4, k.
-13, k, 3, 4
Let b be ((-24)/(-40))/((-27)/60). Sort 0.3, 14, -0.2, b in descending order.
14, 0.3, -0.2, b
Let w = -19 - -16. Suppose -40 = -6*b - 28. Put w, -1/5, b, -2 in ascending order.
w, -2, -1/5, b
Let g(y) = -15*y + 72. Let q be g(5). Sort q, -1, 5, 4 in descending order.
5, 4, -1, q
Let f be 8/24*9/6. Sort -0.42, 2/3, f, 3.
-0.42, f, 2/3, 3
Let t be 21/2 + 102/68. Suppose 1 + 2 = -p, -5*n + 7 = -4*p. Sort n, -5, t in descending order.
t, n, -5
Let u = 768 + -767. Sort -1.6, u, 0.5.
-1.6, 0.5, u
Let z = 16 - 10. Suppose 12 = z*h - 3*h. Suppose 3*n - 2*l = 16, 3*n = -3*l - 5 - h. Put -4, 7, n in ascending order.
-4, n, 7
Let c = 441 - 443.01. Let s = 0.01 + c. Let b = s - -1.7. Sort 0, -5, b.
-5, b, 0
Let f = -5.02 + 0.02. Let x = -2887/10 - -289. Sort x, f, -2 in descending order.
x, -2, f
Suppose 0 = -p + 2*p - 6. Let h be ((-10)/8)/((-115)/(-20) - p). Sort 2, -6, h.
-6, 2, h
Let l = 99 - 99.3. Sort -4, l, 3, -5/7 in ascending order.
-4, -5/7, l, 3
Suppose -7*n + 70 = -0*n. Suppose -3*z + 6*z - 18 = -4*l, 3*l = 9. Put -5, n, z, -4 in increasing order.
-5, -4, z, n
Let i = -1.99 - -28.99. Sort -4, 1, i, 0.5 in increasing order.
-4, 0.5, 1, i
Let c = 561/28 + -79/4. Let v = 34 - 21. Let j = v - 11. Sort c, 3, j in increasing order.
c, j, 3
Let o = 1613 + -1607. Sort -11, 1, -2, o in decreasing order.
o, 1, -2, -11
|
{
"pile_set_name": "DM Mathematics"
}
|
e 25 = 5*l, 0 = -3*t + m*t - 3*l + 23. Is t a multiple of 3?
False
Suppose -1 - 16 = -x. Does 5 divide x?
False
Let s be ((-52)/6)/(4/(-60)). Let a = s - 79. Does 17 divide a?
True
Let p(t) = 96*t - 28. Is 13 a factor of p(3)?
True
Suppose -4*x - x + 147 = 2*a, 3*a + 84 = 3*x. Is 12 a factor of x?
False
Suppose -7 = 5*d - 2. Let p = 6 + d. Does 5 divide p?
True
Let m(a) = -17*a - 5. Let u be m(-5). Let j = -40 + u. Does 8 divide j?
True
Let b = -2 + 5. Suppose -59 = -2*i - 5*l, i - 43 = -b*i + 5*l. Let p = i - 6. Is 11 a factor of p?
True
Suppose 0 = -2*a - 2*x + 12, -5*x - 3 = -6*x. Let u(o) = -2 + 6 - 3*o**a + 0*o**2 - 8*o**2 + 2*o**3. Is 4 a factor of u(-8)?
True
Let w(i) = i. Let p(c) = c**2 + 18*c. Suppose 0 = -4*a - 4, 2*m + 0*a = -4*a - 6. Let j(k) = m*p(k) + 5*w(k). Is 13 a factor of j(-6)?
False
Let d = -27 + 69. Does 5 divide d?
False
Let a(j) = 12*j. Let k be a(1). Suppose 0 = -3*z + 5*z - k. Does 6 divide z?
True
Let l = 251 - 87. Is 16 a factor of l?
False
Let z(x) = x**2 + 6*x - 1. Is z(7) a multiple of 15?
True
Let u(h) = h**2 + h - 4. Suppose -5*b - 15 = -2*b. Is u(b) a multiple of 8?
True
Let i(j) = -j**2 - 8*j - 3. Let p be i(-7). Suppose -p*y - 112 = -8*y. Is y a multiple of 6?
False
Suppose 0 = v + 9 - 61. Suppose g + v = 4*k - g, -3*g = -5*k + 67. Is k a multiple of 3?
False
Let q(o) = o**2 - 6*o + 2. Let z be q(3). Let c(f) = -f**2 - 9*f - 4. Does 10 divide c(z)?
True
Let k = 18 + -10. Let v be (15/4)/(2/k). Let u = v - 10. Is u a multiple of 5?
True
Suppose 5*n - 25 = -r, 3*n + r + 4*r = 37. Suppose -4*v = 4 + n. Let u = v + 20. Does 9 divide u?
True
Is 6 a factor of (-6)/2 + (13 - -8)?
True
Let q(j) = -j**3 - 4*j**2 + 2*j. Let b(t) = t**3 + 4*t**2 - 5*t - 5. Let z be b(-5). Is q(z) a multiple of 15?
True
Suppose 3*b + 34 - 124 = 0. Is b a multiple of 15?
True
Suppose -2*y = -3 + 1, -53 = -3*i + 4*y. Is 19 a factor of i?
True
Let i(s) = -s**3 + s - 23 + 7 + 0*s + s**2. Let a be i(0). Let d = a - -24. Is 4 a factor of d?
True
Let a = -143 + 31. Let n = -76 - a. Is n a multiple of 9?
True
Let d(n) be the second derivative of n**5/20 + n**4/6 - 2*n**3/3 + 3*n**2/2 + 4*n. Let s be d(2). Let w = 21 - s. Does 10 divide w?
True
Is 13/(-91) + 422/14 a multiple of 12?
False
Suppose 5*a + 0 - 10 = 0. Suppose 3*q - 5*b - 7 + a = 0, 4*q + 3*b + 3 = 0. Suppose q = 2*h - 6*h + 44. Is h a multiple of 11?
True
Let p = -11 - -15. Suppose 0*j = 3*j + p*g + 16, -20 = -2*j + 5*g. Suppose -t + 3 = -j*t. Is t even?
False
Let y(i) = i**3 - 15*i**2 + 4*i - 18. Does 7 divide y(15)?
True
Let c(j) = -13*j - 19. Is 36 a factor of c(-7)?
True
Let l = -96 - -223. Let x = -67 + l. Is 10 a factor of ((-8)/(-5))/(8/x)?
False
Let d(u) = u + 5 + 7 - 1. Let z be d(-10). Is 6 a factor of (2 + -13)/(-1*z)?
False
Let o = 12 + -7. Suppose t + 0*a = -4*a + 21, -3*a - 220 = -o*t. Is 16 a factor of t?
False
Let s = -33 + 50. Is s a multiple of 11?
False
Let k(x) = 2*x**2 + 8*x + 6. Let a(v) = v**3 + 3*v**2 + 3*v + 4. Let r be a(-3). Is 16 a factor of k(r)?
True
Suppose 0*h = 2*h - 22. Let i = h - 4. Does 7 divide i?
True
Let k = -54 + 51. Let u = -3 + 8. Let o = k + u. Is o a multiple of 2?
True
Let x(w) = w. Let s(c) = -c**2 + 2*c + 7. Let g(b) = s(b) + x(b). Let z be g(5). Let m(u) = u**2 - u + 2. Does 8 divide m(z)?
False
Let y(x) = 6 - 1 + 4*x - 3*x + 1. Is y(0) a multiple of 3?
True
Is -2 + 21*28/6 a multiple of 16?
True
Suppose -5*f - 3 = l, 4*f + 9 + 3 = -4*l. Suppose 4*x = 4*v + x - 3, -4*v - 2*x + 18 = f. Suppose 0*g = v*g - 45. Is g a multiple of 9?
False
Let b = 69 + -40. Is b a multiple of 9?
False
Suppose 5*h - 242 = -4*x + 250, 3*x = -4*h + 370. Does 31 divide x?
False
Let b(x) = 10*x + 8. Let v be b(7). Suppose l = -2*l + v. Is l a multiple of 7?
False
Suppose 0 = -0*w - 3*w + 90. Let g = w - 15. Is g a multiple of 12?
False
Let q(p) = p**3 + 6*p**2 - 3. Let b be q(-6). Is 18 a factor of 4/6 - 82/b?
False
Let t(a) = a**3 - 3*a**2 - 4. Let g be t(3). Let d(r) = -r + 1. Let p(m) = -m**2 - 5*m - 1. Let x(b) = 2*d(b) - p(b). Does 7 divide x(g)?
True
Suppose 0 = 5*k - 2*s - s - 120, 0 = -3*k - 4*s + 43. Let m = -9 + k. Is m a multiple of 4?
True
Let h be 7/2 + 1/(-2). Suppose h = -2*d - d, 0 = 5*s - d - 201. Suppose c - s = 5*v, 3*v - v = -5*c + 173. Is 9 a factor of c?
False
Suppose 0 = -0*b + 4*b + 2*s - 62, 0 = 4*b - 4*s - 56. Does 15 divide b?
True
Let i be 2/5 - 53/(-5). Suppose i + 5 = -2*t. Let l(a) = -a**2 - 10*a - 5. Is 11 a factor of l(t)?
True
Let m(h) = 9*h. Let a = -9 - -13. Does 13 divide m(a)?
False
Let m(c) = c**2 - 2. Let l = 7 + -11. Is 11 a factor of m(l)?
False
Let q(z) = z**2 - z - 1. Let u be 1*(5/1 - 1). Let p be q(u). Suppose -36 = -5*j - p. Does 2 divide j?
False
Let t = 3 + 17. Does 6 divide t?
False
Suppose 5*z + 0*z = 2*w - 211, 2*z - 3*w + 80 = 0. Let j = z + 115. Suppose s - 5*s = -j. Is 7 a factor of s?
False
Let o be 1/3*(-3)/1. Let f = 17 - o. Is f a multiple of 18?
True
Is (4/(-10))/((-5)/375) a multiple of 15?
True
Suppose 4*d - 2*t = -28, 3*t = 3*d - 0*t + 27. Let k(c) = -3 - 1 - 16*c - 4 + 3. Is 26 a factor of k(d)?
False
Let i(f) = f - 10. Let h be i(10). Suppose 4*w = -16, -4*t + h*w + 20 = w. Suppose -4*d = b - 5*b - 40, -d - t = -5*b. Does 14 divide d?
True
Suppose -i = n - 7, 8*n - 4*n = -8. Is 9 a factor of i?
True
Let a(r) = r**2 - 5*r - 13 - 2*r + 12. Let l be a(6). Let k = 16 - l. Is 11 a factor of k?
False
Suppose 2*s + x - 32 = 0, -65 = -4*s - s + 5*x. Is 5 a factor of s?
True
Let j = 59 + -41. Does 8 divide j?
False
Let f = -7 + 12. Suppose -5*s + 7 = -h - h, -f = -s. Does 2 divide h?
False
Let s(v) = -9*v**3 + v**2 + 2*v + 2. Is s(-1) even?
True
Is 46 a factor of (36 - 0)*((-23)/(-3) - 0)?
True
Suppose -141 = -2*t - 3*a, 5*t = -a + 4*a + 405. Is t a multiple of 13?
True
Let h be (52/(-16))/((-1)/4). Let i(o) = o**3 - 2*o**2 + o + 1. Let n be i(2). Suppose b + n*b + 3*c = h, 5*b - 19 = -c. Is b even?
True
Let a(c) = 18*c**2 + 4*c + 2. Let l(o) = 3*o + 1. Let r be l(-1). Does 22 divide a(r)?
True
Let p = -20 + 60. Is p a multiple of 20?
True
Suppose -4*s - y + 5*y = -204, 5*y = s - 71. Does 23 divide s?
True
Let m(z) = -z**2 - 9*z + 6. Let l be m(-7). Suppose 0 = 2*f + 2*f - l. Is 3 a factor of f?
False
Suppose -5*q = -6*q + 23. Suppose -5 - 20 = -5*w. Suppose 0 = w*t - 32 - q. Does 5 divide t?
False
Suppose b = -4*b + 5. Suppose -b - 7 = -4*z. Suppose 26 + 18 = z*h. Is h a multiple of 9?
False
Let k be 1*-4 - -1 - -3. Suppose i + i - 96 = k. Does 20 divide i?
False
Let u(z) be the third derivative of -z**6/120 - z**5/20 + z**4/6 + 2*z**3/3 - z**2. Let a be u(-4). Suppose -a - 24 = -2*j. Is 7 a factor of j?
True
Let z = 34 - -11. Let r = z - 23. Does 11 divide r?
True
Suppose 7 = -3*n + n - j, -3 = -3*j. Let l = n - -20. Is l a multiple of 8?
True
Let s = -33 - -68. Is s a multiple of 6?
False
Suppose 4*a = 6*a - 10. Let p(f) = -2*f + 2*f + a*f. Is 3 a factor of p(1)?
False
Let i = 7 + -2. Let h be (-2020)/(-15) - (-2)/(-3). Suppose 0 = -i*u + h - 24. Is 11 a factor of u?
True
Suppose 0 = -v - 1 + 5. Let g = v + -2. Suppose -3*a = -4*p - 24, 4*a - 3*p - 31 = g*p. Does 4 divide a?
True
Let v = 150 + -228. Let l = 110 + v. Is l a multiple of 23?
False
Let c = 61 + -36. Is 10 a factor of -2 + (-1 - 2) + c?
True
Suppose -x + 6 = k, 2*k = x + 4*k - 8. Suppose 4*s - x = 4*a, -5*s = -0*s - a - 9. Is 2 a factor of s?
True
Suppose -4*d - 4 + 12 = 0. Let q(t) = -2*t + 3 - 3*t + 2*t + d*t. Is 3 a factor of q(-3)?
True
Suppose 5*h - 2 - 4 = -4*b, 3*h + 5*b = 1. Let g(q) = -q**3 + 0*q - 7*q + 1 - 2*q**h + 9*q**2. Is 8 a factor of g(5)?
True
Suppose -i - 4 = -4*y, 2*y - 5*i + 9 + 7 = 0. Let p be (y/3)/(4/84). Suppose -o + p = o. Is o a multiple of 7?
True
Let i be 1/(3 + 114/(-39)). Let h = -3 + i. Does 4 divide h?
False
Let n(h) = h + 14. Let i be n(-14). Suppose i*o - 4*o = -24. Does 2 divide o?
True
Let s be 2/(-3 + 1) + 3. Is s + -4 + 1 + 64 a multiple of 18?
False
Let k(p) be the second derivative of p**5/20 - p**4/4 + 2*p**3/3 - p**2 + 3*p. Is k(3) a multiple of 5?
True
Let n be 1*137 - (-12)/4. Let j = -68 + n. Does 19 divide 3472/j + 2/(-9)?
False
Suppose 5*c - 34 = 41. Does 15 divide c?
True
Suppose 0*q - 10 = -2*q. Suppose -q*t - 44 = -154. Is t a multiple of 11?
True
Let l = 126 - -1. Is 19 a factor of l
|
{
"pile_set_name": "DM Mathematics"
}
|
a(12) a multiple of 10?
True
Does 13 divide (-6)/(-432)*-12 + 50894/12?
False
Let g = 457 + 107. Suppose -l + 0*l = -g. Suppose 0 = 6*d - 366 - l. Is 31 a factor of d?
True
Let z = 356 + -361. Let w(v) = -4*v**3 - v**2 - 15*v - 56. Is w(z) a multiple of 12?
False
Suppose 0 = -4*z + g + 9981, 3*g = 2*z - 3275 - 1728. Does 29 divide z?
True
Suppose 5*g + 3*f - 72 = 0, -4 = -f - 0*f. Suppose 0 = -9*o + g*o - 255. Does 5 divide o?
True
Let w(p) = -126*p - 514. Is 9 a factor of w(-16)?
False
Suppose -3060 = 77*l - 94*l. Suppose -19*u = -l - 1872. Is 25 a factor of u?
False
Let s(r) = r**3 + 7*r**2 + 11*r. Let l be s(-3). Suppose 0 = l*b + 318 - 2208. Is b a multiple of 70?
True
Let x(u) = 1 + 6 - u**3 - 29*u - 1 - 806*u**2 + 827*u**2. Is x(19) a multiple of 26?
False
Let x(n) = 10*n**2 - 10*n + 17. Let m(q) = -9*q**2 + 10*q - 17. Let i(h) = -6*m(h) - 5*x(h). Is 13 a factor of i(3)?
False
Let o(f) = f**2 - 9*f + 18. Let b = 36 + -29. Let r be o(b). Suppose 152 = 6*c - r*c. Is c a multiple of 19?
True
Let k = 37 + -3. Let a = k + -24. Suppose 1596 = 4*r + a*r. Is 19 a factor of r?
True
Let p(q) = -q - 109*q**2 + 7*q - 4 + 3 - 5*q. Let h be p(1). Let c = -61 - h. Is c a multiple of 5?
False
Let m(i) = i**3 + i**2 + 7*i + 35. Let s be m(-3). Is 14 a factor of (s + 36/6)*(1 - -190)?
False
Let y(j) = 176*j**2 - 765*j + 43. Does 308 divide y(-13)?
True
Let p(n) = 24*n**2 - 1 - 5*n - 22*n**2 - 4*n. Let q be p(5). Suppose -y = -q*k - 116, -77 = 2*y - 5*k - 309. Is y a multiple of 29?
True
Suppose 0 = 2*k - 3*k - 5*l - 3, 5 = -5*l. Suppose k*z - 1268 = -5*o, -2*o - z = -6*z - 484. Suppose o - 60 = 8*q. Is 4 a factor of q?
True
Let m(x) = -14*x**2 - 20*x - 4. Let a(d) = -5*d**2 - 7*d - 1. Let c(v) = 11*a(v) - 4*m(v). Let b be c(-3). Is 335/b - (4 + -1) a multiple of 4?
True
Let u = -184 - -3121. Is u a multiple of 3?
True
Let g(w) = 228*w + 3572. Is g(43) a multiple of 32?
True
Let h be -4 + 1 + -1 + 8. Suppose 4*t - 3*u + 81 = 0, t - h*u = 5*t + 88. Is 24 a factor of (-2408)/t + 4/(-6) + -1?
False
Let y be ((-782)/(-4) - 0) + 3/6. Suppose -h = 6*h - y. Suppose 4*v + p = 78, 3*p = v - p - h. Is v a multiple of 5?
True
Suppose 2*t = 6*m - 5*m + 265, -1405 = -11*t - 2*m. Does 2 divide t?
False
Let j(u) = u**3 + 6*u**2 + 9*u + 14. Let c be j(-5). Does 14 divide c + 1158/8 - 2/(-8)?
False
Suppose -d = g + 349, 109 = 2*d - 2*g + 795. Let b = d - -562. Is 24 a factor of b?
True
Let u = 142 + -60. Let c be (6/12)/((-4)/272). Let m = u + c. Is 12 a factor of m?
True
Let b = -195 - -247. Is 80 a factor of b/39 - (-1091)/3?
False
Suppose -8720813 = -494*l + 2007385. Is 28 a factor of l?
False
Let v be (13035/(-44))/15 - (-1)/(-4). Let b(f) = f**3 + 21*f**2 + 4*f - 41. Does 13 divide b(v)?
False
Let s(x) = -22*x + 15. Let j be s(3). Let g = j - -55. Is 9 a factor of (-68)/(-6)*g*(-6)/(-16)?
False
Let f(w) = w**2 - 15*w + 3. Let y be f(0). Is 10 a factor of 1*(-5 - (y - 117))?
False
Suppose 22*y - 119543 = 145889 + 14562. Is y a multiple of 7?
False
Let q(m) = 2*m - 1. Let n be q(3). Let h(x) = 23*x**2 + 26*x - 5. Let v(f) = 13*f**2 + 13*f - 2. Let k(s) = 4*h(s) - 7*v(s). Is 10 a factor of k(n)?
False
Let c be (-11 + 12)/((-2)/(-2)). Suppose 0 = 4*p - 2*w - 17 - 5, 2*w = -3*p - c. Let k = p - -3. Is 3 a factor of k?
True
Suppose 13*t - 10 = 8*t. Suppose t*f + 4 = -4*s, -4*s = -3*f + 2 + 2. Suppose f = -3*z + 2*z + 59. Does 12 divide z?
False
Suppose 6*x = 45 + 81. Suppose -224 = 20*l - x*l. Suppose -5*t = 4*o - 729, 5*o + t + l = 1109. Is 27 a factor of o?
False
Let r(p) = 18*p**2 - 28*p + 207. Let j be r(7). Suppose 4*k = z + j, -8*k + 7*k + 4*z + 227 = 0. Is k a multiple of 29?
False
Suppose -3*i = -16*i + 3185. Suppose i + 7 = 6*a. Does 7 divide a?
True
Suppose 10*w + 457 = -1783. Does 11 divide w/(-1 - 0 - (-21 - -21))?
False
Is ((-12)/(-10))/(3/5) - -17251 a multiple of 9?
True
Suppose 0 = 11*t - 8*t - 9. Suppose 0 = 4*m + b - 33, -2*m + 2*b = -m - 15. Suppose -t*c + m = -9. Is c even?
True
Suppose 0 = -4*k + 6*d + 33554, -5*k - 52*d = -51*d - 41934. Does 152 divide k?
False
Let p = 105 + 2178. Let k = p + -1213. Is k a multiple of 13?
False
Suppose 0 = -5*s + 20, -4*j = 2*s + 3*s - 4912. Let h = j - 23. Is h a multiple of 35?
False
Let r(u) = 5*u**3 - 12*u**2 + 7*u + 27. Let z(w) = -3*w**3 + 6*w**2 - 3*w - 14. Let l(j) = -4*r(j) - 7*z(j). Let t = 2 - 8. Is 6 a factor of l(t)?
False
Let a(u) = 58*u - 159. Let z be a(3). Suppose 0 = -z*f + 28*f - 8359. Is f a multiple of 15?
False
Let b(s) = -11*s + 17. Suppose 0 = v + 3*v - 20. Suppose 2*f - d + 13 = 0, -2*f - v*d = f + 39. Is 21 a factor of b(f)?
True
Let y be ((-50)/(-60))/(1/6). Suppose 1105 = y*x - 4*c, 24*x - 665 = 21*x + 2*c. Is x a multiple of 45?
True
Let g = -35 - -40. Let d = 40 + g. Does 15 divide d?
True
Suppose -2*k + 4110 = -5*i, -3*k + 2233 = -4*i - 3918. Is 3 a factor of k?
False
Let i be (-27 + 6)/(2 + -3). Let y be 3/(-7) - 8496/i. Let g = 664 + y. Is g a multiple of 37?
True
Let l(z) = -z + 13. Let g be l(18). Let i be 25*(1*(3 + -4) - g). Suppose i = 3*a - 206. Is a a multiple of 17?
True
Let n = 395 - 611. Let m = n - -909. Does 11 divide m?
True
Let y = 177 + -170. Suppose 6*v + 370 = y*v. Is v a multiple of 37?
True
Suppose -30*x = -3178 - 4472. Is 78 a factor of x?
False
Suppose 7*b + 9 - 16 = 0. Is b/((-2)/4*1) + 198 a multiple of 14?
True
Let l(r) = -4*r - 16. Let m be l(-4). Suppose -a + m*t - 4*t + 7 = 0, -t - 2 = -a. Suppose -1 - 2 = 3*y, -a*y = 4*h - 525. Is 33 a factor of h?
True
Let u be (4 - (-1 - -8))*-48. Suppose 13*f - u = 4*f. Does 8 divide f?
True
Let c(y) = -2*y**3 + 87*y**2 + 19*y - 2025. Does 123 divide c(37)?
False
Let z = 4774 - 3610. Is z a multiple of 8?
False
Suppose -2*m - a = -37956, -196*a + 201*a - 37932 = -2*m. Is m a multiple of 40?
False
Let r be 3 + (-8 - (3 - 3)) + 391. Suppose 5*c - 666 = 2*w + w, 0 = 3*c + 5*w - r. Is c a multiple of 6?
True
Suppose 0 = -5*y - 40, y - 792 - 2266 = -2*s. Is s a multiple of 3?
True
Let l(g) = 2*g**3 + 15*g**2 + 6*g + 14. Let y be (-1 - -2)/((-54)/24 + 2). Is 4 a factor of l(y)?
False
Let q(y) = -24*y - 230. Let z be q(-11). Is 6 a factor of 2 + (-6491)/(-9) + z/(-153)?
False
Suppose 86*z + 120 = 81*z. Let f = z + 142. Is 25 a factor of f?
False
Suppose -2*w + 21 = 3*q, -1 + 12 = q + 2*w. Suppose 208 = 4*x - 4*v, -438 = -q*x - 5*v - 128. Let b = -39 + x. Is 3 a factor of b?
True
Let i(m) = -37*m + 46. Let g be i(2). Let u(s) = s**2 + 14*s + 108. Is 49 a factor of u(g)?
False
Let g(f) = 13*f + 75*f + 15*f - f + 5. Is 19 a factor of g(2)?
True
Let u = -169 + 208. Is (753/(-78) - (-6)/u)*-18 a multiple of 19?
True
Suppose -3*g + 3*h = g + 555, 2*g + 272 = -4*h. Let a = g + 321. Does 42 divide a?
False
Let i(a) = -a**2 + 11*a - 10. Suppose -4*w = 3*b - 2, -w = 3*w + 4*b. Suppose 3*q - w*u = 30, 4*u = -16 + 4. Is 11 a factor of i(q)?
False
Let m(s) = -2*s - 50. Let o be m(-26). Suppose 6*h = -4*g + o*h - 36, -4*g = 5*h + 36. Let w = g - -55. Does 4 divide w?
False
Let w = 35367 - 29780. Is w a multiple of 11?
False
Let h be 310/15 - 2/3. Let y be 4/10 + 492/h. Let j = y + -11. Is 14 a factor of j?
True
Let o = 0 - -4. Let m be (1 + -6)*((-36)/10 + o). Does 4 divide 32 + (-3)/m*(-8)/6?
False
Suppose 19*m - 2033446 + 582340 = 0. Is m a multiple of 11?
False
Let x(z) = -z + 1. Let d(j) = -25*j + 13. Let a(h) = -d(h) - 3*x(h). Does 4 divide a(3)?
True
Let t = -19 + 32. Suppose t = a - 12. Suppose 0 = -24*u + a*u - 96. Is 6 a factor of u?
True
Let c = 1829 - -790. Is 4 a factor of c?
False
Let l(c) = c**3 + 15*c**2 + 18*c - 15. Let f be l(-14). Let k = -66 - f. Suppose k*i + 0*a - 4*a - 351 = 0, 16 = -4*a. Is i a multiple of 33?
False
Let n be 74/6 - 13/39. Let b be (-16)/n + (-2188)/6. Does 24 divide b/(-15) - 2/5?
True
Suppose 0 = -7*h + 8*h - 17. Suppose h = -d - 5*m, -4*d + 4*m = -0*d - 28. Is 5 a factor of -12*5/(-10)*d?
False
Suppose 0 = -2*z + 5*x + 201, 2*x - 4*x - 318 = -3*z. Let l = z + 45. Is 21 a factor of l?
False
Let c(f) = f**2 - 44*f + 855. Does 59 divide c(-88)?
False
Let t = -37 - -43. Is 5/((t/(-1468))/((-6)/4)) a multiple of 47?
False
Suppose 84*k - 1 = 83*k, -3*k - 9019 = -2*v. Is v a multiple of 49?
False
Let t(n) = 10*n - 47. Let l be t(5). Suppose l*m - 3*z = -m + 2094, 5*m - 2618 = 4*z. Is 58 a factor of m?
Tr
|
{
"pile_set_name": "DM Mathematics"
}
|
is bigger: i or 0?
0
Let u(k) = 4*k. Let q be u(-2). Let l = q + 12. Suppose d + 33 - 8 = 4*n, -l*d - 3*n = 5. Do -5 and d have the same value?
True
Let x = -0.8 + 1. Let n = 4 - 18. Let z = -16 - n. Which is smaller: x or z?
z
Suppose 0 = -9*w + 16 + 164. Which is smaller: 21 or w?
w
Let v = -70 - -50. Let z be 4/(8/v*-5). Which is smaller: 3/4 or z?
3/4
Let f be (0 - (-4)/(-2))/((-263)/(-1)). Which is smaller: 1 or f?
f
Let m be -5*((-3)/5 - -1). Let p be (2/(-7))/((-2)/14). Let u be (2/(-6))/(p/12). Is m != u?
False
Let j be (-11)/3 - (-2)/3. Let k be j/3 - 1/(-1). Let c be (2/(-6))/(2/6). Which is greater: k or c?
k
Let y = 28 + -55/2. Let k = -2 - -1. Which is greater: k or y?
y
Suppose 5*a + 4*z + 18 = 48, 5*a - 2*z = 60. Is a greater than or equal to 10?
True
Let d(n) = -12*n**2 + n - 1. Let t be d(1). Let i be t/(-78) + (-24)/(-13). Is i smaller than 3?
True
Let c = -0.3 + 0.4. Let l = c - 0. Do l and -2/21 have the same value?
False
Let g(c) = 7*c - 1. Let a be g(-1). Let p = 7 + a. Is p < -1?
False
Suppose -u = 2 - 7. Suppose u*i - i = 12. Suppose -5*y + 8 = i. Which is smaller: -2/7 or y?
-2/7
Let m be (3/(-4))/(21/(-2)). Let f(w) = w. Suppose 5*s + 5*x = 0, -3*s + s - 4*x + 2 = 0. Let q be f(s). Which is smaller: m or q?
q
Let d(t) = -t**2 + 1. Let k be d(-1). Suppose k = 2*l - 0*l + 5*n + 8, n + 16 = -4*l. Is -4 greater than l?
False
Let d = 3 + 2. Are d and 4 unequal?
True
Let d(w) = w**2 + 6*w - 6. Let t be d(-7). Suppose -n - 4 - t = 0. Let h be (-6)/(2 + n) - 2. Which is smaller: h or 0.1?
h
Let x = -3 - 0. Which is bigger: x or -1?
-1
Let i = 81 - 62. Does 19 = i?
True
Let a be 89/(-249) + (-5)/(-15). Is a at most as big as 0?
True
Let k be 0/((-1)/2*-2). Let m = k - -1. Let b be 44/(-12) - 0 - -4. Is m at most as big as b?
False
Let d = 27 + -16. Let p = -11 + d. Which is bigger: p or -1?
p
Let s(z) = 2*z**2 + 23*z - 22. Let x be s(-12). Is x greater than or equal to -10?
True
Let f be ((-3)/102)/(2/16). Is 1 equal to f?
False
Let m be (-13)/(-3) + (-16)/(-24). Suppose -k = -m*y - 4, k - 5 + 1 = -3*y. Let x(j) = -j**3 + 3*j**2 + 3*j. Let q be x(4). Is y smaller than q?
False
Suppose 4*k - 2*k - 42 = 0. Suppose -19 = -3*q + 4*m, 0 = -0*q + q - 5*m - k. Are 0 and q unequal?
True
Let a(f) = f**2 - 1. Let g be a(2). Suppose 8 = -4*p + 4*c, g*p - 5 = 5*p - c. Let q be (p/2)/((-3)/6). Are q and 4 equal?
False
Suppose 2*y + 3*g = -9, -3*y - 3*g - 3 - 3 = 0. Suppose -5*n = -2 - y. Do -1/2 and n have different values?
True
Let c(b) = -2*b**2 + 7*b - 4. Let f be c(8). Is f at least as big as -76?
True
Let p be (-4)/8*(-257)/2. Suppose -29 = -4*s + 227. Let j = s - p. Which is bigger: j or 0?
0
Let a = -231/5 - -46. Let o be 30/8 - (-2)/8. Suppose 5*c = o*c. Is c equal to a?
False
Suppose -3*a + 44 = -a. Let x = a - 8. Are x and 14 equal?
True
Let m(c) = c**2 + 2*c - 3. Let a be m(-3). Suppose 4*b + a = -4. Let u(k) = k**3 - 14*k**2 + 12*k + 12. Let g be u(13). Is g at most b?
True
Let c be ((-90)/(-12))/(6/8). Let t be c/4 + (-2)/4. Suppose 16 = 2*p - 0*g - 2*g, p - 5*g - 28 = 0. Is t bigger than p?
False
Suppose 0 = -4*q + 3*k - 45, 46 - 12 = -3*q + 2*k. Which is bigger: -1 or q?
-1
Let w = 83/38 - 13/6. Which is bigger: w or -1?
w
Let o be ((-1)/3)/1*-12. Suppose 2*w + 17 = p - 2*w, 4*w + 5 = 5*p. Let u = o + p. Which is bigger: u or 0?
u
Let m(f) = -f - 1 + 3*f**2 + f**3 - 2*f + f. Let b be m(-3). Let z = 5 - b. Which is smaller: z or 2?
z
Let u = -18 + 22. Suppose -5*j = 3*p + 7, p = -u*j - 0*p - 7. Which is smaller: j or -13/4?
-13/4
Let y be (-6 + 2)/(-7 + 10). Let m = 31/12 + y. Which is smaller: m or 0?
0
Let f = -38 - -37. Is f smaller than 1/176?
True
Let h be -3 + 3 + 4 + -3. Which is greater: h or 0?
h
Suppose 0 = -y + 4*n - n + 8, 2*n = 2*y - 12. Is y <= 2?
False
Let p be (-3)/(-1) + -1 + -1. Let o be 15/(-6) - (-1)/(-2). Let j be (6/o + 1)/p. Are -1/2 and j non-equal?
True
Let g(f) = -2*f - 3. Let u(h) = -5*h - 7. Let r(j) = -9*g(j) + 4*u(j). Let t be r(-1). Which is smaller: -1/8 or t?
-1/8
Let o = 2.07 + -0.07. Let v = -2.2 + o. Which is smaller: 0.3 or v?
v
Let x be -2 - (4 + (-2 - 29)). Is 1/4 < x?
True
Let k(i) = 2*i**2 - 26*i + 3. Let s be k(13). Are 3 and s unequal?
False
Let o = -18 - -18. Is o smaller than 0?
False
Let a = -42395/252 + 3369/20. Let y = a + -14/45. Is -1 less than y?
True
Let w = -5 - -5. Suppose 5*d = 10, 3*d + 2 = -w*r + 4*r. Is 3 at most as big as r?
False
Let m be (-6)/(-4)*6/(-9). Which is smaller: m or -2?
-2
Let w = 58 - 57.949. Is w smaller than -0.1?
False
Let u = 0.08 + -0.08. Let q be (-68)/20 + 4/10. Let c = q + 3. Is c less than or equal to u?
True
Let b be -1 - ((-30)/(-16))/(-3). Which is smaller: 0 or b?
b
Let h = 515/6 + -85. Is 0 equal to h?
False
Let c = 0 - -5. Let r be -1 - (-5)/(4 + -3). Do c and r have different values?
True
Let i = 2 - 1.7. Let z = i - 0.1. Which is bigger: 0.1 or z?
z
Let j = -171/8 - -21. Is j > 0.5?
False
Let k(s) = -s**2 + s + 1. Let u be k(-1). Let a be (u - 0)*1*0. Let o be (1 - 0) + a + -2. Is 2/11 greater than or equal to o?
True
Let x = 6967774/17 - 410002. Let p = -133 - x. Which is smaller: 1 or p?
p
Suppose -2*t + 2 = -t. Suppose -t*y + 4 = -3*v + 4*v, 0 = 5*v - y + 35. Suppose -4*n + 34 = -3*x, 2*x - 3*x - 26 = -5*n. Is x less than or equal to v?
True
Suppose 2*l = -2*l + 3*d - 9, 2*d + 2 = 0. Suppose 3 = -o - 0*o. Let t = l - o. Which is smaller: t or 1?
t
Let p be (2/((-4)/6) - -4)*0. Is p equal to -2?
False
Let l(q) = -59*q**3 + q**2 + 2*q + 1. Let h be l(-1). Let o = 529/9 - h. Which is bigger: o or 1?
1
Let p = 24 - 8. Let y = p - 15. Which is smaller: y or -3/13?
-3/13
Let a be 0*1/(-2) - (-32)/(-32). Is a greater than -1/173?
False
Suppose 0 = -2*i - 2*g - 8, 0*g - 12 = 2*i + 3*g. Suppose 0 - 4 = -u - 4*x, -4*u + 16 = 2*x. Let c be (-1)/u + (-27)/(-12). Which is bigger: c or i?
c
Let w = 76 + -74. Are 0 and w nonequal?
True
Let h = 0.01 - -0.02. Which is greater: -1/4 or h?
h
Let y = 2.3 + 2.7. Let k = y + -5.1. Which is bigger: 2 or k?
2
Let b = -23/9 - -7/3. Suppose 3*u + 2 = -1. Which is smaller: b or u?
u
Let f(s) = 5*s - 1. Let i be f(1). Suppose 0*c = -i*c. Is c greater than or equal to 0?
True
Suppose 2*b + 120 = 6*b. Let y be 1/3 - (-26)/b. Is 0 smaller than y?
True
Let l = 0.653 + -0.053. Is 4/7 < l?
True
Let k be ((-45)/10)/(-3)*(3 + -1). Let z be 3/12 - (-5)/4. Which is greater: k or z?
k
Suppose 0 = i + 6 + 3. Which is bigger: i or -7?
-7
Let v be (1 - (-3)/(-9))*-3. Let i be (-2)/(-3) + (-778)/6. Let q = i + 642/5. Which is greater: v or q?
q
Suppose 5*g = -2*u - 8, u + 7 = 3. Is g greater than 2?
False
Let v = -4 - 1. Which is greater: -2 or v?
-2
Let l = -13 + 71. Is l greater than or equal to 59?
False
Suppose -3*p = n - 10 - 3, p + 33 = 5*n. Is 9 greater than n?
True
Suppose 2*d = -4*a - 14, 4*d + 11 = -4*a + 5*d. Let f be (a/10)/((-27)/(-12)). Is f at most as big as -0.3?
False
Let g = 0 - 10. Which is greater: -8 or g?
-8
Let b be (-18)/(-14) - 2/7. Suppose -r = -3 - b. Is 6 >= r?
True
Let q be 10/(-25) + 26/(-10). Let n be -2 - ((-15)/(-2))/q. Is n at most 1?
True
Let m = 1802/11 - 164. Let s = 3 - 2. Is s at least m?
True
Suppose 0 = -3*n - x + 5 - 1, -n - x + 2 = 0. Which is smaller: n or -1/107?
-1/107
Let u = 40 + -57. Which is smaller: -15 or u?
u
Let r = -24 - -2. Let z = r + 13. Are 0 and z equal?
False
Let m = -66 + 65. Is 1/24 < m?
False
Let x(z) = -z - 1. Suppose -2 + 13 = -3*y - 4*v, -3*v - 7 = y. Let p be x(y). Suppose -2*m + 5 - 3 = p. Is 1 less than or equal to m?
True
Suppose 0 = -3*h + h + 2. Is h at most -1/26?
False
Let a = -27/10 + 31/30. Which is smaller: a or -2?
-2
Let r be ((-7)/(-10))/((-2)/(-59)). Let s = -1937/92 - -37/46. Let g = s + r. Is g > -2?
True
Suppose -4*j + 4 = -4. Let h be j/4*(-18)/(-3). Are h and 4 nonequal?
True
Let u be ((-16)/876)/(4/(-6)). Which is smaller: 0 or u?
0
Suppose 5*v - v - 2*z = -14, -2*z = 3*v - 7. Which is greater: -0.006 or v?
-0.006
Let m be 2/2 + 1 - -6. Let f(b) = -6*b - 2. Let x be f(2). Let l = m + x. Is -5 not equal to l?
True
Let d(b) = b - 3. Let g be d(0). Let p be 3 + (-22)/(-1 - g). Let m be (-1)/(10/p)*-5. Is m not equal to -4?
False
Let k(o) = 13*o**2 + 3*o - 21. Let v(a) = -3*a**2 - a + 5. Let h(m) = 2*k(m) + 9*v(m). Let i be h(-4). Is -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
*4/12 - q**3 + 2*q**2 - 7*q. Let d be o(6). Solve 5*k = -x + 2, d*k - 5*k = -v*x - 16 for k.
1
Let u be -5 + (-12)/(-10)*360/16. Solve f + 8 - u = 3*o, 0 = -4*o - f - 14 for o.
-4
Let l be ((-10)/(-35))/((-3)/(-21)). Suppose 15 = l*v - 7*v. Let z be 2 + 3 + 6 + v. Solve -3*a = -7*a + 2*g - z, a - 7 = 5*g for a.
-3
Let b be 27 + 3/((-6)/(-8)). Solve 0 = -3*v - 12, -4*v = 2*i + 3*i + b for i.
-3
Let p = -3 + 8. Let d = -563 + 571. Solve 2*u - p*u = v + d, -4*v + u + 20 = 0 for v.
4
Let d(x) = 2*x**3 + 36*x**2 - 2*x - 29. Let y be d(-18). Solve 0 = -y*p + 2*p - b + 4, 3*b - 12 = -3*p for p.
0
Let i(f) = -3*f - 4. Suppose 0*m + 2*m = -4. Let u be i(m). Solve -4*q + 0*a - u = a, 0 = -2*q + 2*a + 4 for q.
0
Suppose -2*s = -2*h, -5*h = 4*s - 33 + 6. Suppose z + k - 33 = -s*z, z + 4*k = 27. Suppose -3*p - 16 = -z*p. Solve 0 = m - 0*m - 5*q + 12, -p*q = 4*m for m.
-2
Let l(a) = -a**3 - 5*a - 15. Let h be l(-2). Let m = -13 - -28. Solve 3*z = -z + h*c + 23, -4*z - 5*c = -m for z.
5
Suppose 5*n + 3*x = -14 + 1, -5*n + 2*x - 8 = 0. Let a be 3/((n*4/(-8))/1). Solve 3 - 2 = -2*u + 3*h, -4*u - 11 = -a*h for u.
-5
Let s = 67 + -40. Suppose -u = -5*x + 104, -3*u + 135 = 5*x + s. Solve -5*a - x + 0 = -4*o, 2*o = -5*a + 3 for o.
4
Let q = -44 - -47. Suppose q = -c + u, -4*c + 26 = -c + 4*u. Solve 2*t - 3*z + 3 = 0, 4*t - c*z + 3 = -7 for t.
-3
Suppose 4*r - 14 = 2*m, -r + 2*m = 4*r - 17. Solve -7*x + 5*x = r*l + 22, 2*l + 23 = -3*x for l.
-4
Let t(j) = -6 + 1 - 20*j + 29*j. Let d be t(2). Suppose 5*p = d + 2. Solve -3*i - i - p*o - 1 = 0, -5*i = o + 4 for i.
-1
Let t be 54/10 + (-24)/60. Let l = t - 1. Solve 5*z + 25 = -l*m, -m + 0*z = -5*z for m.
-5
Let q be (-18)/(-15) + (-12)/10. Solve q = 3*g + 2*i, -g = 3*i - 6*i - 11 for g.
2
Let p = -993 - -993. Solve -2*m + 5*b - 24 = p, 4*m = -b - 4 - 0 for m.
-2
Let g(b) be the third derivative of b**5/60 + 5*b**4/12 - 19*b**3/6 + 12*b**2. Let l be g(-12). Solve 5*q + 6 = 2*r, -12 = -0*r + l*r + q for r.
-2
Let f(h) = h**2 + 10*h - 8. Let q be f(-11). Suppose -120 = q*m + 2*m. Let r be m/20*20/(-6). Solve r*x - 3*a + 4 = -a, a = 5*x + 5 for x.
-1
Let j(l) be the third derivative of l**5/30 - l**4/8 - l**3/6 - 40*l**2. Let c be j(-2). Solve -3*f = -5*f - 3*o + c, 3*f = 4*o + 11 for f.
5
Let z be (-4 + 2)/2 + 4. Suppose -u = z*u. Solve -5*n - 20 = 5*i, 2*n + 2*n - i - 9 = u for n.
1
Suppose 2*k + 18 = 2*t - 0*k, 8 = -3*t - 4*k. Let s be 10/t*156/65. Suppose -s*u = -4*u - 6. Solve 9 = u*n, -4*n + 16 = -2*f - 0*n for f.
-2
Let b(t) = -2*t - 9. Let a be (3/(2 - -4))/((-3)/36). Let q be b(a). Solve -15 = 5*d - 5*j, d - q*j + 8 = -d for d.
-1
Let i(x) = x**2 - 46*x + 398. Let o be i(11). Solve -22 = 2*r + 4*v, 5*r + 3*v + 14 + o = 0 for r.
-3
Let v(a) = -a**3 + 43*a**2 - 43*a + 46. Let x be v(42). Solve 0 = x*n - 5*h - 16, 3*h = n + 2*h - 4 for n.
4
Let k = 53 - 29. Suppose -v = -7*v + k. Solve -v*n + z = -z - 16, -5*n - 5*z + 20 = 0 for n.
4
Let t be (((-36)/8)/3 - 0)*-2. Suppose -t*v + 6 = -v. Suppose 27 - 2 = c. Solve 5*r = 5*x - c, -4*x = -v*x - 1 for r.
-4
Let y = -129 + 131. Solve h - 6 = -3*x, 0*h + 3*h = -y*x + 11 for h.
3
Let a = 299 + -297. Solve -3*x = 4*n - 24, -3*n + 7 = -2*x + a*n for x.
4
Let u be (-68)/(-85) + (-2)/(-10) - -1. Solve 21 = 5*l - 4*t + u*t, -2*l - 9 = 5*t for l.
3
Suppose 3*d - 159 = -5*n - 24, 2*n - 33 = 3*d. Let w be ((-6)/8)/(((-18)/n)/3). Solve -6 = 5*v - w*j, v = -3*v + 2*j - 6 for v.
-3
Let a be ((-18)/4)/((-90)/24 - -3). Let t(w) = w**3 - 5*w**2 - 3*w - 14. Let h be t(a). Solve -c - 1 - 4 = 0, f = h*c + 21 for f.
1
Suppose 3*w - 49 = -13. Suppose 0 = -5*j - 2*g - 0*g + w, 5*g + 4 = -4*j. Solve -c + 14 = -j*q + 6, 2*c - 8 = 0 for q.
-1
Let t = -3 + 15. Let f = -1132 - -1160. Solve -2*o + o - t = 2*w, -2*o = 5*w + f for w.
-4
Suppose -7*z + 2*z = 0. Let b(d) be the second derivative of -d**5/20 - d**4/4 + d**2 + 18*d. Let c be b(0). Solve 0 = c*a - 6*a, z = l + 3*a - 1 for l.
1
Let r(l) = -l**3 + 9*l**2 - l + 11. Let u be r(9). Let o(c) = -c**2 - 8*c + 13. Let v be o(-9). Solve 9*b - 30 = 5*x + 4*b, -v*x = -u*b + 14 for x.
-1
Suppose -g = g - 4. Let j = 10 - 5. Suppose 30*n - 27*n - 6 = 0. Solve 0 = 3*l + g*v - j*v - 9, n*l - 3*v = 9 for l.
0
Let v = 16 - 10. Suppose 5*j + 10 = -2*m - v, -2*j = 4*m. Suppose -m*x + 6 = x. Solve -2*k - 8 = 3*k - 3*f, -x*k - 4*f = -2 for k.
-1
Suppose 3*q - 76 = 101. Let f = -56 + q. Solve 17 = -4*o - 3*l, -4*o - 12 = -o + f*l for o.
-5
Let t(n) = 3*n - 15. Let w be t(7). Suppose 2*v = 4*v - w. Suppose 0 = -v*u - 3, -5*u - 2 = 3*k - 3. Solve 2*q + 1 = -k*l + q, l + 2*q + 2 = 0 for l.
0
Let q(f) = f**2 + f - 7. Let a be q(-9). Suppose 3*h - 39 = 3*k, h + a = 6*h + 3*k. Solve 3*x + h = -2*w, 0 = -3*x - 0*x - 5*w - 10 for x.
-5
Let f(p) = -2*p**2 + 13*p + 15. Let u be f(8). Let v(t) = t**3 + 7*t**2 - 18*t + 3. Let z be v(u). Solve 5*l = -z*w, -2*l = w - 2*w - 11 for l.
3
Let q(d) = 3*d - 13. Let b be q(5). Let u(g) = -5*g**2 + 4*g - 7. Let v be u(b). Let c = v + 24. Solve w + 4*w = c*f, -30 = 2*w + 4*f for w.
-5
Suppose -5 + 24 = r + 5*t, 0 = -2*r - 4*t + 68. Let k = r + -37. Solve -2*m - 20 = -5*b, -k = 4*m - m + 4*b for m.
-5
Let l = 256 + -251. Let w = -4 - -9. Suppose 5*f - 10 = -2*t, 3*f - 2 = 2*f - 5*t. Solve l = -w*o, -f*q - 5*o = 3*q + 25 for q.
-4
Let q(a) = -a + 5. Let t be q(6). Let p be (2 + (t - 1))/(-5). Solve p = -n + 4*d - 10, -3*n + 4*d = -7*n for n.
-2
Let k be (3 + -2)*(13 - 13). Let w be (2 + -1)/(3/12). Suppose -w = 4*g - 16. Solve -5*j + 23 = 3*p - k*j, g = -p + j for p.
1
Let a = 59 + -3. Let l be (a/21)/((-2)/(-6)). Suppose 0 = -l*f + 11*f - 12. Solve f = -4*g - 3*j, -5*g + 4*j = -j + 40 for g.
-4
Suppose -3*j + 12 = -0*j. Solve -2*t = 5*z + 20, j*t - 4*z + 13 - 1 = 0 for t.
-5
Let n be 9 - 9 - (-184)/8. Solve 4*t - 5*v = -n + 2, 3*v + 5 = -2*t for t.
-4
Let t be ((-8)/3)/((-3)/(18/4)). Let h = -41 + 58. Solve c + h = -t*l, -c - c = 2*l + 4 for c.
3
Let b(j) = -j**3 + j**2 + 2*j + 2. Let q be b(2). Solve q*y - 5*w + 3 = -8, 4*w - 16 = 4*y for y.
-3
Let s(x) = x**3 - 5*x**2 - 5*x + 1. Let f be s(6). Let q = -42 + 46. Solve q*y - 4 = -4*w, -4*y + f = 4*w - y for w.
4
Suppose f - 75 - 79 = 0. Suppose 8*k - f = -18. Solve k = d + 5*w, -4 - 8 = -4*w for d.
2
Let y = -216 - -219. Let m be 2/(-1 + 9/6). Solve 3*z = l, -m*l + 4*z = y*z + 11 for l.
-3
Suppose 2*t + 24 = -0*t. Let d = t + 29. Solve -2*w - 3*g - 14 = 0, 4*w + 5 = -3*g - d for w.
-4
Suppose 8*t - 3 = 13. Suppose -n - t = -2*n. Solve 0 = 5*f - n*v + v - 21, -f + 2*v = 3 for f.
5
Let m = -263 + 266. Solve -4*s = m*z - 12 - 7, -3*z + 23 = 5*s for s.
4
Suppose -7 + 1 = -f. Solve -u - f = -3*a + 2*u, -2*a = -3*u - 9 for a.
-3
Let z(t) = -t**3 - 10*t**2 + t + 5. Let h be z(-10). Let a be (3*-1)/(-3*h/(-20)). Solve 12 = 5*p + 2*u, -3*p - 3*u - 16 = -a*p for p.
4
Suppose -4*o + 4*t + 24 = 0, -4*o + 5*t - 15 = -41. Suppose -u - 49 = -o*a, -2*a + u = -a - 13. Solve 0 = -2*g - 2*q - a, 0*g - 3*g = -q + 10 for g.
-4
Let l(y) = -6*y. Suppose 0*r + r = -4*c + 2, -2*r = 4*c. Let s be l(c). Let x be (0 + s)/((-3)/20). Solve -21 + 8 = 4*i - 5*f, -x = -5*i - 5*f for i.
3
Let m be (8/(-6))/((-1)/3). Let w(g) = g**2 - 19*g + 23. Let d be w(18). Solve -7 = t + r, -m*r = -d*t + r + 5 for t.
-3
Suppose 51*b - 828 = -18*b. Solve -3*u + b = u + 5*i, 20 = 5*i for u.
-2
Let a(z) = -z**3 + z**2. Let q be a(1). Suppose 4*w - 1 - 7 = q. Solve 3*c = -w*p + 4, 2*p - c + 20 = 2*c for p.
-4
Suppose -2 = -j + 4. Let u be 9 - (1 + 1) - 3. Suppose -j = -2*d - d - 2*h, -3*h = 2*d - u. Solve f - 5 = -3*s, -s - d*f - f + 7 = 0 for s.
1
Suppose p = 5*j - 17, 2*j + 5 = p + 10. Solve 3*n = p*x - 7*x + 1, 2*x = 2*n - 10 for n.
3
Let v be (-6)/(-2) + 6/(-2). Solve -o = 4*g + 2, -3*o + 4*g - 4 - 2 = v for o.
-2
Let o = 205 + -195. Solve -x + 0*x = -2*z - 10, 3*x + o = -2*z for z.
-5
Let b(u) = -12*u + 304. Let d be b(25). Solve i - 4*l = 8, 2*l = -2*l - d for i.
4
Suppose 3*a = 5*g - 35, 3*g + g - 4*a - 28 = 0. Let w = 58 - 48. Let z be (-1)/(-5) + ((-2)/w)/1. Solve 4*n + 0 = 2*x + 10, z = 2*n - 5*x + g for n.
4
Let t = -80 + 86. Solve -p + 0*p - t = -5*h, 0 = -4*h - 5*p - 1 for h.
1
Suppose -6*w - 18 = -4*b - 4*w, 5*b = w + 18. Solve 5*p + b = 3*z, -5 = 3*p - p - 5*z for p.
0
Let s(d) be the third derivative of 3*d**5/20 - d
|
{
"pile_set_name": "DM Mathematics"
}
|
7*d**2 + 10*d**4 + 234/7*d**3 - 2/7*d**5 = 0.
-3, -2, 1, 38
Let j(p) = p**2 + 3*p - 61. Let n be j(-10). Suppose 0 = 3*k + 7*u - 4*u - 12, n = 2*k + 3*u. Let 0 + 0*g + g**2 - 3/2*g**k = 0. What is g?
0, 2/3
Let s be 7690/(-3076)*44/(-10). Suppose 29/3*p**2 - s*p**3 - 3 - 40/3*p**4 + 17/3*p - 4/3*p**5 = 0. What is p?
-9, -1, 1/2
Let d(z) be the first derivative of z**4/6 + 206*z**3/9 + 2600*z**2/3 - 5408*z/3 - 665. Factor d(o).
2*(o - 1)*(o + 52)**2/3
Let s(q) be the third derivative of -q**5/420 - 109*q**4/84 - 31*q**3/6 - 2174*q**2. Factor s(h).
-(h + 1)*(h + 217)/7
Let u(c) be the third derivative of -c**6/24 + 35*c**5/3 - 2065*c**4/24 + 685*c**3/3 - 5*c**2 - 113. Determine g so that u(g) = 0.
1, 2, 137
Determine o so that -31*o + 7849 + 2135 - 542*o - 21*o**2 + 3*o**3 + 93*o - 36*o**2 = 0.
-13, 16
Let q(l) be the second derivative of -105*l + 0 - 320/3*l**3 + 5/12*l**4 + 10240*l**2. Factor q(w).
5*(w - 64)**2
Let p(r) = r**2 - r. Let b(j) = -2*j**2 - 20 + 57*j - 5*j**2 - 123*j + 48*j. Suppose -5 = -2*d - 1. Let n(k) = d*p(k) + b(k). Factor n(f).
-5*(f + 2)**2
Let g be (24/(-18))/(-2)*(10 + 35/(-14)). Factor -2/7*s**g + 0 - 64/7*s**2 - 64/7*s**3 - 20/7*s**4 + 0*s.
-2*s**2*(s + 2)*(s + 4)**2/7
Let a = 17/2 + -7. Let l be (7 - 9) + -8 - ((-176)/11 + 4). What is i in 0*i + i**4 + 0 - a*i**5 + i**l + 7/2*i**3 = 0?
-1, -1/3, 0, 2
Let i(r) be the third derivative of -r**5/210 + r**3/21 + 3*r**2 - 31. Determine v, given that i(v) = 0.
-1, 1
Factor 4036*r**2 + 39*r**3 - 11*r**4 - 4117*r**2 + 12*r**4 + 41*r.
r*(r - 1)**2*(r + 41)
Let c = 128612 - 257169/2. Determine g, given that -185*g**3 - 125*g**4 + 1 - c*g - 120*g**2 - 63/2*g**5 = 0.
-1, 2/63
Let y = -662 - -986. Factor -310*x**2 + 5*x**3 + y*x**2 - 53*x + 7 + 3.
(x - 2)*(x + 5)*(5*x - 1)
Factor 552*z + 713 + 1159 + 10*z**2 - 2*z**3 + 18*z**2.
-2*(z - 26)*(z + 6)**2
Let 732*n**3 - 193*n**3 + 31205*n - 790*n**2 - 188*n**3 - 150*n**3 - 196*n**3 = 0. What is n?
0, 79
Let l be (14 - (-20192)/(-1440))/((-2)/6). Let d(j) be the second derivative of 0 - 1/27*j**3 + 31*j + 0*j**2 - 5/54*j**4 + l*j**5. Factor d(c).
2*c*(c - 1)*(6*c + 1)/9
Factor -4/5*r**3 + 616/5*r - 768/5 - 108/5*r**2.
-4*(r - 3)*(r - 2)*(r + 32)/5
Let w = 2603 + -2601. Let h(a) be the first derivative of -48/5*a - 48/5*a**w - 24/5*a**3 - 3/25*a**5 - 6/5*a**4 - 14. Find y, given that h(y) = 0.
-2
Solve -1/5*s**4 - 3/5*s**3 + 15*s + 10 + 23/5*s**2 = 0.
-5, -2, -1, 5
Factor 240/13*g - 2/13*g**2 - 7200/13.
-2*(g - 60)**2/13
Let o(b) = -4*b**2 + 167*b + 1320. Let s(k) = 11*k**2 - 333*k - 2640. Let i(u) = 7*o(u) + 3*s(u). Factor i(v).
5*(v + 12)*(v + 22)
Factor 300*t**3 + 3546*t**4 - 497*t**2 - 162*t**2 - 3549*t**4 - 493*t**2.
-3*t**2*(t - 96)*(t - 4)
Solve 0 + 182/9*x**4 - 1012/9*x**3 - 472/9*x**2 - 16/3*x = 0 for x.
-2/7, -2/13, 0, 6
Let d(u) be the first derivative of 81/14*u**2 - 134 + 6*u - 44/7*u**3 + 9/28*u**4. Find y, given that d(y) = 0.
-1/3, 1, 14
Find j, given that -13*j**3 - 843*j - 1095*j**2 + 180*j**2 + 8*j**3 - 75*j + 8*j**3 = 0.
-1, 0, 306
Factor 6*y + 221*y + y**2 + 133*y - 4*y**2.
-3*y*(y - 120)
Let l = 137127 + -137125. Let 6/7*y**2 - 20/7 - l*y = 0. What is y?
-1, 10/3
Let m(r) be the second derivative of r**5/90 + 11*r**4/9 + 305*r**3/27 - 39*r - 60. Factor m(y).
2*y*(y + 5)*(y + 61)/9
Suppose 4*p = -g + 23, g - 2 = p + 2*p. Suppose g*s**2 + 813*s - 8*s**4 - 3*s**2 - 809*s - 4*s**5 = 0. Calculate s.
-1, 0, 1
Factor -33/2*f - 3/4*f**2 - 63/4.
-3*(f + 1)*(f + 21)/4
What is w in 217/3*w**2 + 145/6*w - 1/2*w**3 + 0 = 0?
-1/3, 0, 145
Suppose -41 = 3*w + 532. Let s = w + 1529/8. Factor -s*g + 1/2 + 1/8*g**3 - 1/2*g**2.
(g - 4)*(g - 1)*(g + 1)/8
Find b such that -2506/3*b - 2/3*b**3 - 920 + 84*b**2 = 0.
-1, 12, 115
Suppose -1514 = -5*i - 1484. Suppose 8*s = 12*s, -2*x = 4*s - i. Factor -2 - 867/2*q**2 - 51*q - 4913/4*q**x.
-(17*q + 2)**3/4
Suppose 0 = 17*k + 77 + 25. Let d be (-55)/(-60)*5 + k/(-8). Factor 8/3 - 2/3*x**3 - d*x + 10/3*x**2.
-2*(x - 2)**2*(x - 1)/3
Let v(c) be the third derivative of c**11/166320 + c**10/75600 - 3*c**5/2 + 2*c**2 + 8. Let f(l) be the third derivative of v(l). Factor f(i).
2*i**4*(i + 1)
Factor 5/4*y + 3/2 + 1/4*y**2.
(y + 2)*(y + 3)/4
Suppose 2*z - 3*z = -22. Suppose z*j - 3 = 21*j. Factor -3*m**4 - 27*m - 19*m**2 + 44*m**2 + 15*m**j - 34*m**2.
-3*m*(m - 3)**2*(m + 1)
Let y(v) be the second derivative of v**6/90 + 79*v**5/30 + 2027*v**4/12 - 6320*v**3/9 + 3200*v**2/3 + 2667*v. Find p such that y(p) = 0.
-80, 1
Factor -1/4*n**3 - 149/2*n**2 + 599/4*n - 75.
-(n - 1)**2*(n + 300)/4
Let g = 90 + -289. Let d = g - -401/2. Factor -d*s**4 + 0*s**3 + 3*s + 0 + 9/2*s**2.
-3*s*(s - 2)*(s + 1)**2/2
Let n(f) = 8*f - 75. Let c be n(11). Factor 5*g**3 + 178*g + 115*g**2 + 70 - c*g + 10 - 25*g**2.
5*(g + 1)**2*(g + 16)
Suppose -57*i + 54*i + 4*r - 29 = 0, 5*i + 3*r = 0. Let s be (-4)/(-16) + i*(-4)/144. Factor s*f**2 - 4/3 + 0*f.
(f - 2)*(f + 2)/3
Let l be 2/1 - (-378)/(-2 + -12). Let b be 10/l + -1 + 2 + 1. Solve -6/5*z - b + 2/5*z**2 = 0 for z.
-1, 4
Suppose 801 = 5*q + 2*z + 793, q - 5*z = 34. Let n(f) be the first derivative of 25 + 1/22*f**q + 2/11*f**3 + 10/11*f - 9/11*f**2. Factor n(d).
2*(d - 1)**2*(d + 5)/11
Let n(z) = 2*z**2 - 2*z - 2. Let r(i) = -9*i**2 + 54*i + 84. Let w(p) = 6*n(p) + r(p). Factor w(h).
3*(h + 2)*(h + 12)
Let c(u) be the second derivative of u**4/60 - 439*u**3/15 - 879*u**2/10 - 5570*u. Solve c(a) = 0 for a.
-1, 879
Let i(q) be the first derivative of 28*q**2 - 36*q**3 + 12*q**4 + 4/5*q**5 + 0*q + 54. What is n in i(n) = 0?
-14, 0, 1
Let g(w) be the second derivative of -145*w - 2/5*w**6 + 19/2*w**3 - 81/20*w**5 + 9*w**2 + 0 + 1/2*w**4 + 2/7*w**7. Find y, given that g(y) = 0.
-2, -1/2, 1, 3
Let t = -55 + 51. Let g be t/6 + ((-385)/(-15))/7. Determine v so that 31*v**3 + 25*v**3 - 52*v**g + 2*v**4 = 0.
-2, 0
Solve -32 + 248/5*a + 4/5*a**3 - 92/5*a**2 = 0 for a.
1, 2, 20
Let g(l) be the third derivative of -l**6/240 - 137*l**5/15 + 2195*l**4/48 - 183*l**3/2 + l**2 - 107*l + 18. Solve g(o) = 0 for o.
-1098, 1
Let c = -4604 - -253222/55. Let t(o) be the first derivative of 6 - 3/11*o**4 + 8/11*o**3 + c*o**5 - 10/11*o**2 + 6/11*o. Factor t(i).
2*(i - 3)*(i - 1)**3/11
Let c = -2386567031/4641120 - 1/515680. Let w = c + 516. Suppose 2/9*i**4 + 8/9*i - 10/9*i**3 - w + 4/3*i**2 = 0. Calculate i.
-1, 2
Let l be (3/4)/((-12)/(-32)). Factor -2*w**2 - w**4 - 2788*w**3 + 3*w + l + w**2 + 2785*w**3.
-(w - 1)*(w + 1)**2*(w + 2)
Let p be (-462)/21 - -7 - -38. Let z(l) be the second derivative of 4/3*l**4 - 2*l**2 + 0 + 2*l**3 + p*l. Solve z(x) = 0 for x.
-1, 1/4
Let s(k) = 15*k**2 + 34*k - 13. Let o(g) = 1 - 2479*g + 2480*g - 2 + 0. Let u(t) = 5*o(t) + s(t). What is r in u(r) = 0?
-3, 2/5
Suppose 13249 = 38*u - 1001. Let t be ((-10)/(-4))/(-5 + u/45). What is q in -t*q + 1/4*q**2 + 1/2 = 0?
1, 2
Let p(c) be the third derivative of -c**5/12 - 805*c**4/24 - 265*c**3 + 53*c**2 + 10. Factor p(q).
-5*(q + 2)*(q + 159)
Let v = 1961 - 2116. Let n be 16/(-14) - v/7. Determine j, given that -180/7*j - 24/7 - n*j**3 - 54*j**2 = 0.
-2, -2/7
Let d(q) = 2*q + 120. Let v be d(-4). Let n be 2*1/18*1008/v. Factor -17/2*l - 15*l**2 - n.
-(5*l + 2)*(6*l + 1)/2
What is f in 3/2*f**2 + 50602347/2 - 12321*f = 0?
4107
Let w = -14367 - -14373. Let x(h) be the first derivative of 1/24*h**w + h**3 - 1/5*h**5 + 39 + 0*h - 1/8*h**4 + 9/8*h**2. Factor x(z).
z*(z - 3)**2*(z + 1)**2/4
Let r be (-13 - (-4340)/336)/(8/(-10816)). What is b in -r - 2/3*b**2 + 52/3*b = 0?
13
Let o = 11 + 1. Let w be 2/((-3)/(-6)*(-16)/(-20)). Factor o*u**2 - 11 - w*u - u - 13 + 25 - 8*u**3.
-(2*u - 1)**3
Let u(r) be the second derivative of r**5/4 + 215*r**4/24 - 115*r**3/12 - 55*r**2/2 - 40*r + 97. Factor u(l).
5*(l - 1)*(l + 22)*(2*l + 1)/2
Let p(k) be the first derivative of k**7/1890 + 11*k**6/135 + 121*k**5/30 + 5*k**3/3 + 27*k**2/2 + 217. Let x(c) be the third derivative of p(c). Factor x(j).
4*j*(j + 33)**2/9
Let g(l) = -12*l**2 + 50*l + 46. Let x(z) = -z**2 - z + 1. Let a be (1/1)/(36 - 37). Let v(m) = a*g(m) + 6*x(m). Factor v(s).
2*(s - 10)*(3*s + 2)
Suppose 16/3 - z**2 - 1/6*z**3 + 0*z = 0. What is z?
-4, 2
Let w(d) be the third derivative of -1/120*d**5 + 1/6*d**4 - 49*d**2 + 0 - 7/12*d**3 + 0*d. Factor w(k).
-(k - 7)*(k - 1)/2
Let x
|
{
"pile_set_name": "DM Mathematics"
}
|
se z = 5*q + 15, -5*q = l - 1 - 1. What is the units digit of l?
7
Suppose 0 = -156*i + 102*i + 262386. What is the units digit of i?
9
Let g be ((-272)/32)/(1/22). Let d = g + 331. What is the units digit of d?
4
Suppose -l + 2*z = -300, 3 = -3*z - 0. Let x = 466 - l. What is the tens digit of x?
6
Let w(a) = -a**3 + 6*a**2 + 4. Suppose 3*p + 9 - 18 = 0. What is the tens digit of w(p)?
3
Suppose 0 = -6*v - 24 + 96. Let a = -4 + v. Suppose m = a + 31. What is the tens digit of m?
3
Suppose -5 = -7*y + 9. Let h(d) = 7*d - 3. What is the tens digit of h(y)?
1
What is the hundreds digit of 284*4/28*196/8?
9
Let s(c) be the second derivative of 4*c**4/3 + c**3/3 - 10*c**2 + 8*c. What is the hundreds digit of s(4)?
2
Let s = 6 - 3. Suppose -s*m - 25 + 166 = -5*h, m + 5*h = 27. Suppose -m = 3*n - 6*n. What is the units digit of n?
4
Let c(t) be the second derivative of -t**4/24 + 3*t**3/2 - 5*t**2/2 + 3*t. Let r(k) be the first derivative of c(k). What is the tens digit of r(-7)?
1
Suppose -5*h + 39 = 329. Let u = h - -168. What is the units digit of u?
0
Let b(u) be the first derivative of -3 + 1/2*u**2 - 3*u + 1/3*u**3. What is the units digit of b(4)?
7
What is the tens digit of 43 + (3/9 - 2/6)?
4
Let n(l) = l**3 + 8*l**2 - 10*l - 2. Let u be n(-9). Let q be -70*u/(105/(-6)). Let k = q - 27. What is the units digit of k?
1
Let v = -116 - -119. Suppose -306 - 51 = -v*o. What is the units digit of o?
9
Let v be 0*(0 - 1/(-2)). Suppose -i - u = 2*i - 174, -3*i + 5*u + 156 = v. What is the tens digit of i?
5
Suppose q - 4*q = 3*f - 12, 3*q = 3*f - 24. Suppose -f*o = -o. What is the units digit of 0 + -1 + (3 - o)?
2
Let a be (2/(-3))/((-26)/585). Let v = -12 + a. Suppose -5*l + q + 83 = -0, -v*l + 55 = 2*q. What is the units digit of l?
7
Let t(m) be the second derivative of 1/6*m**3 + 19/2*m**2 - 1/20*m**5 - 1/12*m**4 + 0 + 5*m. What is the units digit of t(0)?
9
Let z = 92 - 98. Let b be 4/(0 - -2)*-4. Let r = z - b. What is the units digit of r?
2
Let j = 779 - 426. What is the units digit of j?
3
Suppose 36*k - 32*k - 44 = 0. Let y(z) = 15*z + 14. What is the tens digit of y(k)?
7
Let w = 958 - 466. What is the units digit of w?
2
Suppose 0 = -4*a - z + 42, 4*z = -a + 6*a - 42. Suppose 3*g - 29 = -3*d + 43, 3*g = -3. Let t = d - a. What is the units digit of t?
5
Let l(n) = 8*n**2 + 74*n - 61. What is the hundreds digit of l(-26)?
4
Let i(n) be the third derivative of n**4/24 + 61*n**3/6 + 2*n**2. Suppose -46*u = -65*u. What is the units digit of i(u)?
1
Let z = 100 - -2695. What is the units digit of z?
5
Suppose 18*j - 3701 = 15*j + 5*s, 4*j - 4978 = -2*s. What is the tens digit of j?
4
What is the units digit of 4/(-20) + (-2 - (-6663)/15)?
2
Let q(t) = -t**2 - 6*t - 6. Let h be q(-4). Let g = h - -6. What is the units digit of 428/14 - g/14?
0
Let d be 1/((18/(-4))/(-9)). Suppose -815 = -5*o + d*i, -2*i - 66 = -2*o + 254. What is the tens digit of o?
6
Suppose -5*a + 4*b + 8505 = -0*b, 0 = a - b - 1700. What is the tens digit of 9/12 + a/20?
8
Let z(g) = -10*g + 66 + 69 + 10*g**2 - 151. What is the units digit of z(6)?
4
Let o be 27 + (3 - (-4 + 4)). Let a = o - -39. What is the units digit of a?
9
What is the hundreds digit of 42/(1 - 0)*(11 + 1)?
5
Suppose 0 = 4*i - 12, -2*w = -3*i + 2*i - 1. Suppose -p + w*s - 5 = 0, -5*p + 2*s = -3*s + 35. Let v(x) = -2*x - 7. What is the units digit of v(p)?
1
Let q = -7 - -11. Suppose -2 = -v - 6, -5*a = q*v - 54. What is the tens digit of a?
1
Suppose 2*l + 3*a = l + 1, 0 = -5*l + 2*a + 90. What is the units digit of (-7 + 152/l)*98/1?
5
Let r(i) = i**2 - 4*i + 3. Let h be r(7). Let v = -7 + h. What is the tens digit of v?
1
Let l be 0 - -159 - (4 - 4). Let w = 410 - l. What is the units digit of w?
1
Let g(n) = 5*n - 4. Let l(x) = 14*x - 11. Let q(b) = -11*g(b) + 4*l(b). Let y(f) = 5*f + 5. Let u(c) = 4*q(c) - y(c). What is the units digit of u(-7)?
2
Suppose w + w + 22 = 0. Let b(d) = -d - 8. Let n be b(w). Suppose n*o + 5*j - 8 = 0, 2*j = 4*o - 39 - 15. What is the units digit of o?
1
Let w be 2*1 + (-208)/(-8). Let z = -55 + w. Let f = -20 - z. What is the units digit of f?
7
Suppose 6 = 4*i + g - 3*g, 1 = g. Suppose 0 = -i*f - 3*c - 106, -4*f + 2*c - 187 = 9. Let r = 86 + f. What is the units digit of r?
6
Let t = 18 + -15. Let s be (0 + t)/(6/6). Suppose -s*i + 12 = -30. What is the units digit of i?
4
Suppose 25 = -13*j + 18*j. Suppose 0*i = -j*i + 20, -t = -5*i - 84. What is the units digit of t?
4
Let w = -364 - -362. Let c(p) = 2*p**3 + 3*p**2 - 3*p - 5. Let f(a) = -2*a**3 - 4*a**2 + 3*a + 6. Let h(r) = -3*c(r) - 2*f(r). What is the units digit of h(w)?
9
Let z = -2115 + 3278. What is the hundreds digit of z?
1
Let m(z) = 54*z + 63. What is the units digit of m(7)?
1
Suppose 8802 = -49*s + 52*s. What is the thousands digit of s?
2
What is the hundreds digit of 76/418 + (-7881)/(-33)?
2
Let o(h) = 164*h**3 - 2*h**2 - h + 1. Let y be o(1). Suppose 0 = 6*f - f - 2*b - 273, -3*b - y = -3*f. What is the units digit of f?
5
Let c = 14 + -12. Suppose -215 = -c*d + 1. Suppose -d = -5*t + 2*z + 2*z, 3*z = -6. What is the tens digit of t?
2
Let m be (-4 - -3)*(2 - 4). Suppose 2*w - 172 = -4*i, 3*i - 115 = m*w - 0*w. What is the tens digit of i?
4
Let w(d) = -181*d + 23. What is the tens digit of w(-6)?
0
Let n = 17 - 18. What is the tens digit of n/(4/(-56)) - 1?
1
Suppose z + 44 + 130 = c, 3*c - 508 = -4*z. Suppose 4*a + 3*b - c = 2*b, -172 = -4*a - 5*b. What is the units digit of a?
3
Suppose 15 = 5*l - 0. Suppose -4*o + 260 = -2*d, d + 156 = l*o - 37. What is the tens digit of o?
6
Let u(z) be the third derivative of 1/3*z**3 + 0*z - z**2 + 1/24*z**4 + 0. What is the units digit of u(7)?
9
Suppose 4*x + x - 105 = 0. Suppose -3*o - 2*o = -3*i + x, -18 = 4*o - 3*i. Let h = o - -13. What is the units digit of h?
0
Let o = 2573 - 1331. What is the tens digit of o?
4
Suppose 101*u - 160*u = -69443. What is the tens digit of u?
7
Suppose 10*c = 5*c + 205. Suppose -273 = -g - c. What is the units digit of g?
2
Suppose -14 - 6 = -5*p. Let r = 248 + -139. Suppose p*s = 35 + r. What is the units digit of s?
6
Let j(o) be the third derivative of o**4/8 + o**3 + 4*o**2. Let c be j(3). Let y = c - 7. What is the units digit of y?
8
Let j = 129 + -306. Let d = -120 - j. Suppose 5*g = 2*g + d. What is the tens digit of g?
1
Suppose -88 = -6*l - 10. Suppose -y + l = -52. What is the tens digit of y?
6
Let a = -11 + 19. Suppose -d - a = 2*d + 2*q, 4*d + 12 = -3*q. Let b = d - -1. What is the units digit of b?
1
Let k(z) = 10*z - 1. Let g be k(5). Let n = -11 + g. What is the tens digit of n?
3
Let c be (-1 - -2)/(4/32). Suppose -c*v = -9*v - 6. Let i = v + 46. What is the tens digit of i?
4
Let h = -286 - 18. Let o = h - -515. What is the units digit of o?
1
Let m = -685 - -2759. What is the tens digit of m?
7
Suppose 325 = s + 47. Suppose 2*b - s = 140. What is the hundreds digit of b?
2
Let f be 1*-363*2/(-6). Let a = -34 + f. Suppose -a = -6*g + 3*g. What is the units digit of g?
9
Let s(j) = 0*j - j + 403 - j**3 - 403. Let z be s(0). Suppose 5*t - q = 209, z = 3*t + 4*q + 54 - 161. What is the units digit of t?
1
Let z = -31 - -31. Suppose z = -2*l + 4*l - 240. What is the units digit of l?
0
Let g be 8/10*(-60)/(-8). Let v = 7 + g. What is the units digit of v?
3
Let y = 13 + -11. Suppose -t + 39 = f, f + 0*f - 73 = -y*t. What is the tens digit of t?
3
Let d = 27 + -28. Let z(w) = -9*w**3 + w**2 - 1. Let n be z(d). Suppose -39 = -4*p + n. What is the units digit of p?
2
Suppose -10*s - 56 = -8*s. Let y = 73 + s. What is the tens digit of y?
4
Let q be (-4)/7*(-56)/16. Suppose -9 = -q*x - 5. Let y(z) = 2*z**3 - 2*z + 4. What is the tens digit of y(x)?
1
Suppose -3*i = 53 - 839. What is the tens digit of i?
6
Let q be (-7)/(-3) + -5 + (-17)/(-3). Suppose q*g - 188 = g. What is the units digit of g?
4
Let p(d) be the third derivative of -d**6/120 - 3*d**5/20 + 5*d**4/8 - 5*d**3/3 - 4*d**2. What is the units digit of p(-11)?
7
Suppose 3*s = 3*h - 2*s + 9, 2*s = 2*h + 2. Suppose 3*i = -h*i. Let d = i + 9. What is the units digit of d?
9
Let r(b) = -b. Let q(h) = -h**3 - 5*h**2 - 5*h + 1. Let p(v) = q(v) - 2*r(v). Let a be p(-4). Let k = a + 11. What is the units digit of k?
8
Let s(t) be the second derivative
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{
"pile_set_name": "DM Mathematics"
}
|
. Let g be u(5). Let v be (-4)/g + (-7602)/(-63). Suppose -25*i - v = -30*i. What is the units digit of i?
4
Let s(z) = 108*z + 72. What is the tens digit of s(5)?
1
Suppose -3*p + 2*p = -2*h - 2, 3*h - 3*p = 0. What is the units digit of (14/35)/(h/(-180))?
6
Suppose -2*l + 4 = 4*r - 4, -4*l = r - 16. Suppose r = -3*p - 6*a + a + 48, -2*p - 2*a = -32. What is the tens digit of p?
1
Suppose 0 = -5*b + 7*b - 14. What is the units digit of b?
7
Suppose -4*k - 41 = -2*k + 5*v, 0 = 3*k + 3*v + 57. Let z = k + 17. Let a(n) = -48*n + 1. What is the units digit of a(z)?
9
Let v be -3 - (3 - 3)*(-4)/(-8). Let g(l) = 13*l**2 + 6*l + 16. What is the hundreds digit of g(v)?
1
Let b = -629 - -1258. What is the tens digit of b?
2
Let v = 599 - 233. What is the tens digit of v?
6
Suppose -5*v - 26 = -4*i, 8 + 6 = i - 5*v. Suppose -j = i*d - 13, 3*d = -0*d + 2*j - 4. Suppose -d*p - 3*h + 0*h = -31, -15 = 3*h. What is the units digit of p?
3
Let x = 73 - 59. What is the tens digit of 7/x - ((-818)/4 - 0)?
0
Suppose 19*l = 13*l + 6570. What is the thousands digit of l?
1
Suppose 2*m - 5*y - 2 + 541 = 0, y - 262 = m. Let d = m + 508. What is the tens digit of d?
5
Let f = 250 + 9. What is the hundreds digit of f?
2
Suppose 4 = -2*g, 0 = -i + g - 5*g + 265. Suppose 0 = -5*k + z + i, 279 = 4*k + k + 2*z. What is the units digit of k?
5
Let z(l) be the second derivative of 0*l**3 + 3/2*l**2 + 0 + 1/4*l**4 - 4*l. What is the tens digit of z(3)?
3
Let n(r) = 300*r - 152. What is the thousands digit of n(6)?
1
Suppose 0 = -16*i - 10293 + 50421. What is the thousands digit of i?
2
Let r be 84/(-15) + 4/(-10). Let g = 9 + r. What is the units digit of g*8/(-60)*-25?
0
Let z(l) = 4*l**2 + 4*l + 3. Let k be z(-2). Let w be (-1)/(-4) + k/4. Suppose 2*r = s - 2*s + 13, 3 = -w*s. What is the units digit of r?
7
Suppose 0 = i - 2*a - 94 + 34, -5*i + 267 = a. Let j(n) = -5*n + 1. Let d be j(1). What is the units digit of i/2*d/(-12)?
9
Let y be 9/(27/12) - 12. What is the units digit of (y - -6)/(4/(-94)) + -1?
6
Let g be 368/20 + (-2)/5. Let y = g + 1. What is the tens digit of y?
1
Suppose -1058 = 23*k - 4324. What is the tens digit of k?
4
What is the hundreds digit of 4734/22 + 4/132*-6?
2
Suppose 12*t - 7*t - 20 = 0. What is the tens digit of t/12*-3 - -42?
4
Let a = -20 - -14. Let b be 15/a*(-3 - -1007). What is the tens digit of (-2)/(-12) + b/(-60)?
4
What is the thousands digit of -21*(-8)/28 - -1459?
1
Let w = 4129 + -2733. What is the thousands digit of w?
1
Let x(d) = d + 6. Let q be x(-6). Suppose -l + 4 = -q*l. Suppose 2 = -5*v + 7, 4*m = l*v + 76. What is the units digit of m?
0
Suppose 12 = 4*q + 4*m, m + 7 = 3*q + 5*m. Suppose -q*x = x - 330. What is the tens digit of x?
5
Let v(q) = -2*q - 6. Let a be v(-6). Suppose 53 = i - a. What is the tens digit of i?
5
Let n(p) = 2*p**2 + 2*p - 6. Let i be n(3). Let d(b) = -5*b + i*b + 0*b. What is the units digit of d(2)?
6
Let z(m) = -9*m**2 - 2*m + 2. Let a be z(-2). Let p = -28 - a. Suppose p*x - 100 = -2. What is the tens digit of x?
4
Suppose -4*y + 547 = -13133. What is the thousands digit of y?
3
Suppose -658 = -2*r + 1922. What is the hundreds digit of r?
2
Suppose 21 - 56 = -7*y. Suppose -y*u - 101 = -0*d - d, 5*u - 20 = 0. What is the units digit of d?
1
Suppose -5*g = 5*i - 380, 3*g = -0*g - 9. Let j = i + -44. What is the units digit of j?
5
Let z be (-1 + -160)*(3 - (-8)/(-2)). Suppose 2*w + 25 = 2*k + z, -w + 53 = -4*k. What is the tens digit of w?
7
Let q(x) be the third derivative of -1/60*x**5 + 0 + 1/3*x**3 + 0*x - 3*x**2 + 1/24*x**4. What is the units digit of q(0)?
2
Let z(j) = -199*j - 61. What is the units digit of z(-9)?
0
Let i be (3 + -2)*(-2 + (-54)/(-2)). Suppose 0 = 23*g - 18*g - i. What is the units digit of g?
5
What is the tens digit of (-8346)/(-9) - 1*6/(-9)?
2
Suppose -2*c + 2513 = 3*g, -4*g - 3*c + 4188 = g. What is the hundreds digit of g?
8
Let w(y) = 210*y**2 - 8*y - 20. What is the units digit of w(-3)?
4
Let f(z) = z**2 + 2*z - 3. Let h be (1 - 2)/((-1)/(-3)). Let j be f(h). Suppose j*n = 2*n + 6, -3 = -3*l - 3*n. What is the units digit of l?
4
Let q = 1369 - 514. What is the units digit of q?
5
What is the hundreds digit of 2*((-1)/(-6))/(6/35658)?
9
Suppose 5*r = -4*v - 116 - 60, 3*v = -3*r - 129. Suppose 5*w + 4*k + 39 + 28 = 0, 5*k = 4*w + 70. Let s = w - v. What is the units digit of s?
4
Suppose 16*s + 4*p - 164 = 15*s, s = -3*p + 161. What is the tens digit of s?
5
Let i(v) = -v**3 - v + 1. Let z be i(1). Let y(c) = -116*c**2 + 1 + 116*c**2 + 70*c**2 + c + 0*c. What is the tens digit of y(z)?
7
What is the tens digit of (-4 - (-44)/4) + 368?
7
Let k(t) = t**2 + 9*t - 11*t + 5 - 9*t - 33. What is the tens digit of k(14)?
1
Let y(o) = -o + 23. Let a be y(0). Suppose -5*f + 893 - 753 = 0. Suppose -a*x + f*x = 30. What is the units digit of x?
6
Suppose -3*u + 5*u = v + 109, 119 = 2*u + v. Let n = 8 + u. What is the tens digit of n?
6
Let d(f) be the second derivative of f**5/20 - 11*f**4/12 - 4*f**3/3 + 6*f**2 + 11*f. What is the tens digit of d(12)?
6
Let p = 688 + -310. Suppose -7*g = -g - p. What is the units digit of g?
3
Let i(q) = -2*q**3 + 2*q**2 + 2*q - 2. Let o be i(2). Let a = o - -11. Suppose a*v = 5, -3*b - 2*v = 2 - 49. What is the tens digit of b?
1
Let n(l) be the first derivative of l**3/3 - 11*l**2/2 + 5*l - 10. Let z be n(11). Suppose 184 = 4*m + o, 4*m - z*o - 205 = -m. What is the units digit of m?
5
Let m(s) = -340*s - 74. What is the tens digit of m(-3)?
4
Let f(o) = -o**3 + 16*o**2 + 2*o + 20. Let x be f(16). What is the units digit of 8*594/39 + 8/x?
2
Let z(t) = -t**3 - 2*t**2 + 3*t - 2. Let k be z(2). What is the tens digit of 267/4 - -1*(-3)/k?
6
Let q(r) = 34*r + 113. What is the units digit of q(9)?
9
Suppose l + 25 = -20. Let r = 33 - l. What is the units digit of r?
8
Suppose -3*n + 4*n = 24. What is the units digit of (7/(-4))/((-2)/n)?
1
Let x(o) = o + 49. Let f be x(-23). Suppose f = -3*r + 638. What is the units digit of r?
4
Let y(i) = -i**3 + 9*i**2 - 10*i + 5. Let h be y(8). Let c = h - -15. Suppose -2*d = 3*d - q - 54, -c*q + 34 = 5*d. What is the units digit of d?
0
Let u(a) = 28*a**2 + 19*a - 26. What is the thousands digit of u(12)?
4
Let o(w) = -w**3 + 10*w**2 + 10*w + 17. Let s be o(11). Suppose 0 = -3*g - 5*d + 259, s*d - 9*d = -2*g + 141. What is the tens digit of g?
7
Suppose -26 - 31 = -3*w. Suppose w - 3 = 4*p. Suppose p*i = 5*i - 19. What is the tens digit of i?
1
Let p(v) = -v**3 - 15*v**2 + 11*v + 30. Suppose -1 = 2*d + 31. What is the tens digit of p(d)?
1
Suppose -2*u = u. Suppose u = -2*s + 6*s - 144. What is the tens digit of s?
3
Let l(u) = 183*u - 119. What is the tens digit of l(9)?
2
Let k(i) = -3*i**3 - i**2 - 2*i. Let y be k(2). Let m = 62 + y. What is the units digit of -1 - m/(-9)*12?
9
Suppose 5*b = i + 22, -2*i + b = -2*b + 23. Let w(z) = 2*z**2 + 14*z. Let u be w(i). Suppose -2*j - 10 = 0, u = p + p - 3*j - 23. What is the units digit of p?
4
Let r = 263 - 191. What is the units digit of r?
2
Let a(r) = -2 + 2 + 2 - 2*r. Let d be a(0). Suppose z - b = -6*b + 23, d*z - 72 = 3*b. What is the units digit of z?
3
Let z = -57 + 232. Suppose 4*g = 5*m - 876, 0*g + z = m - g. What is the units digit of m?
6
Let p be 4/1*(-90)/80*6. Let i = 119 - 69. Let j = p + i. What is the units digit of j?
3
Let w = 696 + -479. What is the tens digit of w?
1
Let d = -1910 - -4078. What is the hundreds digit of d?
1
Suppose 2*m = 4*s - 16, -2*s = -0*s + 4*m - 8. Let l be s/(-10) + (-626)/10. What is the tens digit of (-2093)/l - 4/18?
3
Let p = -28 + 62. Let f = 98 - p. What is the units digit of f?
4
Let t = -133 - -89. Let k = 91 + t. What is the units digit of k?
7
Let i(k) = k**3 + 52*k**2 + 40*k - 61. What is the units digit of i(-51)?
0
Suppose 2 = c - 0. Suppose 2*s = 3*s - 1, -c*v + 17 = 5*s. Suppose -v*k + 85 = -k. What is the tens digit of k?
1
Let g be -2*9/(-6) - 1. Suppose n - 3*u = -4*u + 63, 4*n = u + 252. Suppose -5*m + n + g = 0. What is the units digit of m?
3
Let o = 10 - 16. Let l be (-3 + 33)/(o/(-4)). What is the units digit of -1 - l*(-1)/1?
9
Suppose 5*j - 440 = -3*j. What is the units digit of j?
5
Let y(h) = 21 - h**2 + 0*h - 6*h + 0*h**2 - 6. Let f be y(-7). What is the tens digit of (f + -4 - -7)
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2*y - 5*b, 15 = y - 3*b. List the prime factors of 1*(-2 - y) - -30.
2, 7
Suppose 5*x - 238 = 3*b + 239, 4 = 4*b. Suppose x = n + 2*n. Let i = n - 18. What are the prime factors of i?
2, 7
Let c be (1/3)/(1/12). Let g be 2/c*10*8. Suppose 4*o - g = -0*o. What are the prime factors of o?
2, 5
Let f = -64 - -81. What are the prime factors of f?
17
Suppose 4*a + 1734 = 10*a. What are the prime factors of a?
17
Suppose -m + 5*u + 8 = -14, 12 = -3*u. Let j be 14 + (-2)/m + 3. Let w = j + -11. What are the prime factors of w?
5
Let t(x) = x**2 - 2. Suppose 3*k + 2*k = 15. Let d be t(k). Let i = 14 - d. List the prime factors of i.
7
Suppose -5*h - 5 + 0 = 5*i, -4*i + h = -1. Let l be (0 - -3) + 0 + i. Let o = 8 - l. List the prime factors of o.
5
Let y = -1 - 6. Let j = y + 19. What are the prime factors of j?
2, 3
Suppose j = 3*v - 94, 2*j + 122 = 4*v - j. List the prime factors of v.
2
Suppose 8*b - 3*b = 10. Suppose -5*j = 4*x - 3, b*j + 7*x - 3*x - 6 = 0. What are the prime factors of 0/j - (-5 + 3)?
2
Suppose -4*z + 9 = -11. Suppose -z*f + 36 = -2*f. List the prime factors of f.
2, 3
Suppose -2*k - c + 3*c + 174 = 0, -3*k = c - 241. List the prime factors of k.
2, 41
Let m be (6 - 3) + -1 + 3. Let g = m - -2. What are the prime factors of g?
7
Let r(q) = q + 4. Let o(g) = -2*g - 9. Let m(p) = 3*o(p) + 5*r(p). List the prime factors of m(-12).
5
Let r = 81 - -37. List the prime factors of r.
2, 59
Let c(u) = 328*u**2 + 2*u + 2. What are the prime factors of c(-1)?
2, 41
Suppose 0 = -3*i - 4*t + 453, -2*i + 2*t + 302 = -3*t. What are the prime factors of i?
151
Let u = -1 - -16. What are the prime factors of u?
3, 5
Let f = -223 - -349. What are the prime factors of f?
2, 3, 7
Let t be (-2 - (-4 - -2))/(-2). Suppose 4*w - w - 93 = t. List the prime factors of w.
31
Suppose -168 = -2*k - 2*k - 3*f, 5*k = -f + 210. What are the prime factors of k?
2, 3, 7
Suppose -y - 4*c - 1 = -2, 0 = -3*y - 5*c + 10. Suppose y*a - 5 = -5*b, 2 = -3*a - 4*b + 3. What are the prime factors of a?
3
Let q be (-3)/9*(1 - 1). Let t(m) = -m + 24. What are the prime factors of t(q)?
2, 3
Suppose -19 - 1 = -5*c. Let z(h) = h**3 - 3*h**2 - 3*h + 2. What are the prime factors of z(c)?
2, 3
Suppose -5*l + 475 = -0*l. Suppose 10*g - l = 5*g. List the prime factors of g.
19
Let u(o) = o**2 - o + 1. Let p be u(1). Suppose p + 0 = -w. What are the prime factors of 0 + 2 + 0 - w?
3
Let c be (-6)/(-5)*5/2. What are the prime factors of 4/(1 + c) + 18?
19
Suppose 12 = 5*k - 3. Suppose k = d + 1. Suppose -3*g = d*g - 75. List the prime factors of g.
3, 5
Let r = 869 - 621. What are the prime factors of r?
2, 31
Suppose -5*x + 20 = 3*g - 0, 3*x - 12 = -4*g. Suppose -4*n + 0 + x = 0. Suppose c - a - n = 1, a = 5*c - 18. What are the prime factors of c?
2
Let y be 25/4 + (-5)/20. Suppose 0*z + 198 = y*z. List the prime factors of z.
3, 11
Let o be (2/4)/((-4)/(-88)). Let a be (1 + o)*(-1)/(-3). Suppose -a*l = l - 20. What are the prime factors of l?
2
Let b(o) = -2*o**3 - 5*o**2 - 2*o + 4. Let w be b(-4). Suppose 2*p = 6, -w = -2*g - 3*p - 9. List the prime factors of g.
3, 7
Suppose -4*r - 4*c - 60 - 8 = 0, -4 = -4*c. Let s be (-15)/(-2) - 9/r. Suppose z + 0*z - s = 3*u, -4*z - 5*u = -83. What are the prime factors of z?
17
List the prime factors of 33 - (2 + (-4 - -6)).
29
Suppose -4*w + 2*t = 16, 0*w + 5*t = 2*w + 24. Suppose -p + 2 = 0, -4*p + 13 = -k - 1. List the prime factors of (k + 5)/(w/26).
13
Let s(n) = 39*n**2 - 1. What are the prime factors of s(1)?
2, 19
Let d(l) = -2*l + 7. Let c be d(5). Let w be (2/c)/((-2)/(-12)). List the prime factors of (-98)/w - 6/4.
23
Let c = 191 - 110. List the prime factors of c.
3
Suppose 3*q + u = 22, 0 = -4*q + q + 5*u + 34. Suppose -4*o - 48 = -q*o. List the prime factors of o.
2, 3
Let f(g) = 2*g**2 + 5*g + 3. Suppose 57 = 4*o - 3*n, o - 3*o - 2*n + 32 = 0. Suppose -2*s - 3*s - o = 0. List the prime factors of f(s).
2, 3
Suppose -4*u + 35 = c, 2*u + 2 = u. Suppose -4*w + c = o, -5*w - 17 = o - 70. List the prime factors of w.
2, 5
Let d be 2 + (0 - (0 + 2)). Let t(o) = o**2 + 51. Let g be t(d). Suppose -4*i + 70 = 5*h + i, 4*h + 3*i - g = 0. List the prime factors of h.
3
Let k be 1 - -1 - 29/(-1). Suppose 0 = -5*h + 3*p + 15, -5*p + k = h. Suppose -4*r - h = -2*z, -z - r - 1 = -16. What are the prime factors of z?
11
Let y = -22 - -37. Let d be (-3 - 33/(-9))*30. Suppose m = -5*k - 21, 3*k + y + d = 5*m. What are the prime factors of m?
2
List the prime factors of 138/2*(-7)/(-21).
23
Let m = 38 - 53. Let z = m - -36. List the prime factors of z.
3, 7
Let m(p) be the third derivative of -p**5/60 + 11*p**4/24 + 8*p**3/3 + 3*p**2. What are the prime factors of m(11)?
2
Let m(o) = o**3 + o - 3. Let z be m(-4). Let l = z + 99. What are the prime factors of l?
2, 7
What are the prime factors of 3 - (-4170)/21 - (-8)/(-14)?
3, 67
Let i = 1 - 1. Suppose i = -g + 7 - 2. Suppose 2*t - 31 = -t - f, -g*t + f + 65 = 0. List the prime factors of t.
2, 3
Let o(v) = v**3 - 19*v**2 - v + 22. Let c be o(19). Let s(j) = 3*j - 4. Let g be s(-3). Let r = c - g. What are the prime factors of r?
2
Suppose h - 2*h + 10 = 0. Suppose 4*o - 10 = k, -k + 0 + h = o. Suppose 2*p + k = 4*p. List the prime factors of p.
3
Let b = -1 + 0. Let d(g) = g**2 - g - 1. Let i(x) = -2*x**2 + x + 1. Let u(p) = -2*d(p) - 3*i(p). List the prime factors of u(b).
2
Let g(y) = y**3 - 10*y**2 + 13*y - 10. Let i be g(9). Let m = i + -2. What are the prime factors of m?
2, 3
Let x(d) = d**2 + d - 7. What are the prime factors of x(-5)?
13
Let k(b) = -b + 7. Suppose -3*t - 5 = -20. Let h be k(t). Let y = 1 + h. List the prime factors of y.
3
Let s(a) = -a**3 + 2*a**2 + 2*a - 2. What are the prime factors of s(-2)?
2, 5
Let t = 18 + -9. List the prime factors of t.
3
Suppose 4*a - 4 = -k + 4, a = 5*k - 82. Let h = k - 11. Suppose h = 2*o - 5. What are the prime factors of o?
5
Let j be (2 + (-5)/2)*-8. Suppose 3*v = -o + 7, v - 3 = 2*o + j. Suppose -v*u = u - 24. List the prime factors of u.
2, 3
Let a(d) = -d**3 - 6*d**2 - d + 4. Let r be a(-6). Let j(l) = -2*l**2 + 5*l**2 - 8*l - 2*l**2 + r. What are the prime factors of j(7)?
3
Suppose 3*g - 129 = -2*p, 3*g - 3*p - 147 = p. List the prime factors of g.
3, 5
Suppose -171 = -2*x + 4*u + 3, -4*x + 3*u = -338. What are the prime factors of x?
83
Let y = 60 + -29. What are the prime factors of y?
31
Let z = -19 - -29. What are the prime factors of (z + (-4)/(-4))*2?
2, 11
Let g(j) = -3*j**2 + 4*j**2 + 4*j**2 + 6*j - 4*j**2. What are the prime factors of g(-9)?
3
Suppose 0 = -n + 3*u - 5 + 79, -450 = -5*n - 5*u. List the prime factors of n.
2, 43
What are the prime factors of (3 - 0 - 18)*204/(-20)?
3, 17
Let u = 49 - 9. List the prime factors of u.
2, 5
Suppose 0 = -g + 3 + 2. Suppose 3*s = s - 2*m + 18, g*s = -4*m + 40. Suppose n = -2, -s*b - 3 + 17 = n. List the prime factors of b.
2
Let b(r) = r**3 - 3*r**2 - 2*r. Let p be b(-2). Let c be (p/5)/(2/(-25)). Suppose 5*f - c = -0*f. What are the prime factors of f?
2
Let c(x) = x**3 - 5*x**2 + 5. Let l be c(5). Suppose -2*k - 24 = -l*k. What are the prime factors of k?
2
Suppose -14*l + 9*l = -20. List the prime factors of l.
2
Let o(d) be the second derivative of 7*d**6/720 - d**5/60 + d**4/6 - d. Let k(y) be the third derivative of o(y). What are the prime factors of k(2)?
2, 3
Let v(g) = -5*g - 6. Let d(w) = -w**2 + 4*w + 5. Let a(k) = -5*d(k) - 4*v(k). Let i be a(-1). Let m = -2 + i. List the prime factors of m.
2
Let j = -36 - -55. List the prime factors of j.
19
Let h(b) = -10*b - 2. Suppose -3*o - 8 = -3*c - 2, 2*o - 4*c = -4. Let k be h(o). Suppose 0 = 4*n + 3*l - k, 4*l - 22 = -5*n - 0*n. List the prime factors of n.
2, 3
Suppose -26 = -2*f - 0*w + 4*w, -3*f + 2*w + 19 = 0. Suppose f*l - l = 0. Suppose -3*j - i + 24 = l, j - 2 - 19 = 4*i. What are the prime factors of j?
3
Suppose -5*n - 16 = 19. Let i(t) be the first derivative of -t**2 - 2*t - 1. What are the prime factors of i(n)?
2, 3
Let a be (-8)/(-12)*(-30)/(-4). Suppose -5*w - h = -0*h - 29, -5*h = -3*w - a. What are the prime factors of w?
5
Suppose -3*r + 141 = -4*f, -4*r + 0*f + 188 = -4*f. List the prime factors of r.
47
Suppose c = -0 + 2. Suppose -5*u + 21 = -4*r, -c*u + 4 + 9 = 3*r. What are the prime factors
|
{
"pile_set_name": "DM Mathematics"
}
|
digit of m?
2
Let j(g) = g + 1. Let x be j(-7). Let a = -3 - x. What is the units digit of a?
3
What is the units digit of (24/9 + -3)*-45?
5
Let b(l) = 13*l - 10. What is the tens digit of b(3)?
2
Let h be -9 + (-1 - 0) + 3. Let p(l) = l + 9. What is the units digit of p(h)?
2
What is the tens digit of (1 + -4)/((-30)/710)?
7
Suppose -2*s + 11 = c, 21 = 5*s - 6*c + 2*c. Let q(l) = -l**2 + 5*l + 6. What is the units digit of q(s)?
6
Let r(j) = 6*j + 3. Let n be r(5). Suppose 81 = 5*s + a, 4*a = s - n - 0. What is the tens digit of s?
1
Suppose 0*q - 15*q + 90 = 0. What is the units digit of q?
6
Let x(y) = 162*y**2 + 3*y + 3. What is the tens digit of x(-1)?
6
Suppose -7*w + 86 = -292. What is the tens digit of w?
5
Suppose -8*d - d + 675 = 0. What is the tens digit of d?
7
Let m(p) = -p. Let u(y) = -y**2 - 17*y - 10. Let x(w) = -6*m(w) + u(w). What is the units digit of x(-4)?
8
Suppose -7*n = -5*n - 74. What is the tens digit of n?
3
Suppose 3*x - 5 = 31. What is the tens digit of x?
1
Suppose 6 + 3 = 3*w. Suppose -h = -0*h - w. What is the units digit of 2/h*(2 - -25)?
8
Let r(i) = 2*i**2 + 6*i - 5. Let c be r(-6). Let z = 38 + -60. Let y = z + c. What is the units digit of y?
9
Let m(a) be the first derivative of 4*a**2 - 2 + 0*a**2 - 2*a + 1 - 3*a**2. What is the units digit of m(3)?
4
Suppose -5*o = -5*f - 45, -4*f - 5*o + 1 = 10. Let d(h) = h + 7. What is the units digit of d(f)?
1
Let q(c) = -c - 5. Let g be q(4). Let n be (-4)/18 + (-47)/g. Suppose -n = 3*i - 23. What is the units digit of i?
6
Let u(z) = 2*z + 14 + 0*z - z**3 - z**2 - 6*z + 5*z. What is the tens digit of u(0)?
1
Let z(c) be the second derivative of 0 - 1/20*c**5 - c + 5/2*c**2 - 7/12*c**4 + 0*c**3. What is the units digit of z(-7)?
5
Suppose -3*p - 33 = -99. Suppose -g = -2*t - t + p, 2*t = 4*g + 8. What is the units digit of t?
8
Suppose z + 1 = 2. Let o(h) = 5*h**2 + 2*h - 1. Let i be o(z). Suppose 24 = 3*a + i. What is the units digit of a?
6
Let q(l) = 1 - 6 + 4*l - 2*l. Let i be q(6). Suppose c = -4*b + i + 25, 2*b = -c + 14. What is the units digit of b?
9
Suppose -5*j - 31 = -2*m, -2*m = j - 7 - 6. Suppose -5*f = -2*q - 68, 3*f - 35 - m = -q. What is the units digit of f?
4
Let n be -16*(-3)/(-9)*3. Let l be 9/(-6)*n/6. Suppose l*j - 3*j - 3 = 0. What is the units digit of j?
3
Let n = 13 + -2. Suppose 7*f - 2*f - 115 = -5*o, 3*f = o - n. What is the units digit of o?
0
Suppose -4*m + 733 - 165 = 0. Let s = m + -50. Suppose t - 5*t - s = -4*v, -t + 109 = 5*v. What is the tens digit of v?
2
Let r(n) = -n**2 + 16*n - 11. What is the tens digit of r(8)?
5
Let f(p) = -p - 3. Let u be f(-6). Suppose -n + u*l = 3*n - 85, 3*n = 5*l + 61. What is the units digit of n?
2
Let m(k) = 3*k**3 + 3*k - 6. What is the tens digit of m(3)?
8
Suppose 3*y + 150 = 6*y. Suppose -i - 19 + 84 = 5*d, 5*d - y = 2*i. What is the tens digit of d?
1
Let d(a) = 9*a**2 - a - 4. What is the units digit of d(-2)?
4
Suppose 19 = 5*k + 4. Suppose 108 = k*f + f. What is the tens digit of f?
2
Let d(g) = g + 3. Let k be d(-3). Suppose 2*z - 22 = -k*z. What is the tens digit of z?
1
Let j(a) = 7*a + 77. What is the units digit of j(24)?
5
Suppose -4*o - 29 = a, -3*a + 2*o + 21 = -4*a. Let u(t) = -t**3 - 12*t**2 - 10*t + 4. Let k be u(-11). Let q = k - a. What is the units digit of q?
6
Let l(i) = 2*i - 12. Let y = -5 - -16. What is the units digit of l(y)?
0
Let l(h) = h**3 + 3*h**2 - 4*h + 3. Let j be l(-4). Suppose z + 2*z - j = 0. What is the units digit of z?
1
Let h(y) = -4*y + 41. What is the units digit of h(-21)?
5
Let w(k) = -k**2 - 22*k + 6. What is the tens digit of w(-14)?
1
Let t(b) = b**2 - 5*b + 1. What is the units digit of t(5)?
1
Let n(h) = -h**3 + 7*h**2 - 7*h. What is the tens digit of n(4)?
2
Let v = 6 + -1. Let g be v/3 - 2/(-6). What is the units digit of 16/2 - 0 - g?
6
Let i(j) = -27*j**3 + 2*j**2 - 3*j + 2. Let n be i(1). Let u be 230/6 - 4/(-6). Let p = u + n. What is the tens digit of p?
1
Suppose -4*v - 44 = -4*r, 5*v - 3*v = r - 20. Let j = v + 14. What is the units digit of j?
5
Let y(z) = -2*z + 9. Let v be y(4). What is the units digit of (v - 5)/(4/(-6))?
6
What is the units digit of ((-3)/(-2))/((-39)/(-910))?
5
Let y be 0 - (0/(-1) + -1). Let s = 3 + y. Suppose 0 = -k + s + 2. What is the units digit of k?
6
Suppose -3*t + 419 = 5*q, t - 401 = -5*q + 4*t. What is the tens digit of q?
8
Let h be -1 - ((-1)/(-1) - 3). Suppose -h = -s + 1. Suppose -s*d = 2*q - 32, -q = 2*d - 21 - 10. What is the tens digit of d?
1
Let i(v) = 12*v - 13. Let y(w) = 11*w - 12. Let p(j) = 5*i(j) - 6*y(j). Let z(d) = 6*d - 6. Let n(s) = 5*p(s) + 6*z(s). What is the units digit of n(1)?
5
Let z = -11 + 8. Let m be 10*1/4*-2. Let h = z - m. What is the units digit of h?
2
Let g(z) = 6*z - 8. What is the units digit of g(4)?
6
Suppose 0 = 6*a - 2*a - 124. Let i = 62 - a. What is the tens digit of i?
3
Let b(x) = -x**2 - 10. Let y be b(0). Let k = y - -14. Suppose 64 = 8*g - k*g. What is the tens digit of g?
1
Suppose -2*v + 2*p - 25 = -69, 2*v + p - 29 = 0. What is the units digit of 5/(-20) + v/4?
4
Let i = 13 + -8. Suppose -25 = -i*c + 25. What is the units digit of c?
0
Suppose 18*i - 9*i = 1755. What is the hundreds digit of i?
1
Suppose -5*h = -4*n - 23, -7 = h + n + 4*n. Let y = 4 + h. What is the units digit of y?
7
Suppose k + 4*k = 5. Let i(y) = 4*y + 1. What is the units digit of i(k)?
5
Let v = 111 + 7. What is the tens digit of v?
1
Let a = 8 + -7. What is the units digit of (4/6)/(a/3)?
2
Suppose -z + 10 = 6. Let o be -1 + 0 - -3*27. Suppose 0 = -4*m - z*f + o, 5*m + f - 12 = 88. What is the units digit of m?
0
Suppose -u - 5*z + 6 = 0, 2*z = -u + 6*u - 3. Let k = u + 1. Suppose 4*j + 2*v = 4*v + 6, k*j + v - 9 = 0. What is the units digit of j?
3
Suppose 3*d - 575 = -5*q, 8*q - 3*q - 575 = -4*d. What is the units digit of q?
5
Let d be 1 - 1*(0 - -3). What is the units digit of d/11 + 280/88?
3
Let r be (-11)/(-3)*(-1 + 4). Let m = -7 + r. What is the units digit of m?
4
Let z = 45 - 24. What is the units digit of z?
1
Let u(y) = 34*y - 29. What is the hundreds digit of u(5)?
1
Let q be (-1 - -3)*(17 + 1). Suppose 0 = -4*x - n - n + 40, q = 3*x + 3*n. What is the units digit of x?
8
Suppose 4 + 4 = 2*n. What is the units digit of (9/(-2))/(-3)*n?
6
Let y(k) = -16*k + 7. What is the tens digit of y(-4)?
7
Let i be 0/1 - (-12)/4. What is the tens digit of (-1 - 8/i)*-3?
1
Let d(b) = -b**3 + 5*b**2 + 6*b + 4. Suppose -200 = -y - 4*y. Suppose 2*n + y = 4*p + 10, 0 = -3*n - 9. What is the units digit of d(p)?
4
Let d(l) = -15*l**2 - 1. Let o be d(1). Let g = o + 23. What is the units digit of g?
7
Let h = -53 + 161. What is the units digit of h?
8
Let t = -23 - -26. Suppose -t*k = 5*s - 231, -s = -0*k + k - 47. What is the tens digit of s?
4
Let a = -2 - -8. Suppose -c = -a*c - 60. What is the units digit of (4/c)/((-1)/18)?
6
Let i = 35 + -8. What is the tens digit of i?
2
Let q(n) = -n**2 - 8*n - 6. Let y(g) = g**2 + 8*g + 6. Let z(t) = -2*q(t) - 3*y(t). What is the units digit of z(-6)?
6
Let z(y) = -18*y - 4. Let g be z(-3). Let a be -3*28/9*-3. Let r = g - a. What is the units digit of r?
2
Let x(t) = t**3 - 5*t**2 - 4*t - 8. Let y be x(6). Suppose 3*r + 23 = 4*d - 0*d, -r + 3 = y*d. What is the units digit of d?
2
Let g = -6 + 7. What is the tens digit of 13/2*(g + 1)?
1
Suppose -3*g - 2*u = -548 + 30, -174 = -g - u. What is the hundreds digit of g?
1
Let s(i) = 2*i**2 - 8*i - 3. What is the tens digit of s(7)?
3
Let i be 0 + 2 + (0 - -10). Suppose 0 = -4*w + 40 + i. What is the units digit of w?
3
Let p(t) = 2*t**2 + 3*t + 1. Let w(a) = a**3 + 3*a**2 - 4*a + 5. Let y be w(-4). Let f = 3 - y. What is the units digit of p(f)?
3
What is the tens digit of (5/(-10))/((-2)/116)?
2
Suppose -352 = -5*h - 72. What is the units digit of h?
6
Let r(h) = 9*h - 5. Let w be r(7). Let u = -38 + w. What is the tens digit of u?
2
Let c = 43 + -12. What is the tens digit of c?
3
Suppose 5*y - 5*c + 115 = 0, -3*y + 4*c = -8*y - 115. Suppose 10*s = 5*s - 65. Let l = s - y. What is the tens digit of l?
1
Let o = 62 - 15. Let v = o + -7. What is the tens digit of v?
4
Let b(a) = 43*a**2 + a. Let x be b(1). Suppose 5*d - x = 61. What is the units digit of d?
1
Let d(p) = 4*p - 29. Let t(n)
|
{
"pile_set_name": "DM Mathematics"
}
|
*4
Let k(m) = -4*m. Let z(d) = -107*d + 24*d + 326*d. Determine z(k(s)).
-972*s
Let n(y) = -39959*y**2. Let q(b) = -b**2. Give q(n(m)).
-1596721681*m**4
Let j(n) = -n**2 - n + 12. Let w be j(3). Let i(v) be the third derivative of w + 0*v - 1/30*v**5 - v**2 + 0*v**3 + 0*v**4. Let q(d) = -2*d. What is i(q(b))?
-8*b**2
Let c(p) = 17*p**2. Let l be ((-4)/(-4)*-1)/((-2)/326). Let q(i) = -82 - 81 + i + l. Give q(c(k)).
17*k**2
Let t(q) = -2*q. Suppose -2*f + 5*l + 22 = -3, 4*l = -20. Let p(h) = 0*h + 22*h**2 - 21*h**2 + f*h. Determine t(p(r)).
-2*r**2
Let p(g) = 6*g - 157. Let y(f) = -440*f - 1. Determine p(y(x)).
-2640*x - 163
Let d(l) = -10*l. Let s(v) = -17*v**2 + 47 - 73 + 26. Calculate d(s(c)).
170*c**2
Let z(f) = 16*f + 11. Let p(j) = -59*j. Determine z(p(i)).
-944*i + 11
Let k(s) = 5*s**2. Let o(i) = i + 1. Let w(v) = 5*v + 4. Let x(f) = -11*o(f) + 2*w(f). Let u(g) = -2*g - 7. Let a(l) = 6*u(l) - 14*x(l). Give k(a(y)).
20*y**2
Let p(a) be the first derivative of -5/2*a**2 + 0*a + 3. Let c(u) = -u. Calculate p(c(j)).
5*j
Let i(t) be the third derivative of -11*t**5/60 - 4*t**2. Let r(c) = 358*c - 181*c - 175*c. Give r(i(v)).
-22*v**2
Let f(i) = -16*i**2 + 65*i**2 - 24*i**2 - 22*i**2. Let c(a) = 141*a**2 - 1. Give c(f(z)).
1269*z**4 - 1
Let j(v) = -v**2 + v + 1. Let i(x) = 2*x**2 + 2*x + 2. Let k(d) = i(d) - 2*j(d). Let y(l) = 5*l + 5. What is k(y(h))?
100*h**2 + 200*h + 100
Let o(v) = -4 + 3 + 7083*v**2 + 1 - 7092*v**2. Let q(z) = 22*z. What is o(q(l))?
-4356*l**2
Let o(z) = 3*z + 5. Let b(q) = -2*q - 3. Let k(r) = -5*b(r) - 3*o(r). Let j = 544 - 383. Let f(w) = 161 + 5*w - j + 7*w. What is f(k(u))?
12*u
Let m(o) = -4*o. Let i(d) be the first derivative of 37*d**2 - 202. Calculate i(m(f)).
-296*f
Let a(v) = 12*v. Let c(h) = -h + 104. Let n(l) = l - 86. Let o(f) = -3*c(f) - 4*n(f). Determine o(a(s)).
-12*s + 32
Let i(l) = 24*l**2. Let p(g) = 34 + 14 + g**2 - 48 - 7*g**2. Give i(p(k)).
864*k**4
Let c(s) = -12*s - 1. Let i(b) = -b - 10*b + 3*b - 9*b + b. Give i(c(v)).
192*v + 16
Let x(i) = 490*i**2. Let s(k) = -410*k**2. Give s(x(b)).
-98441000*b**4
Let r(l) = 2*l**2 - l - 3. Let i(y) = 616*y**2 - 22*y - 66. Let o(s) = -i(s) + 22*r(s). Let m(u) = u**2. Calculate o(m(a)).
-572*a**4
Let s(p) = -13*p**2. Let d(j) = j + 1. Let l(x) be the third derivative of 7*x**4/24 + 2*x**3/3 - 32*x**2 + 2. Let h(g) = 4*d(g) - l(g). Give h(s(v)).
39*v**2
Let a(f) be the third derivative of -f**5/4 - f**2. Let m(x) be the second derivative of x**3/6 - 5*x - 129. Calculate a(m(o)).
-15*o**2
Let s(y) = -9*y**2. Let k(l) be the second derivative of -25*l**3/6 + 16*l - 6. Calculate s(k(r)).
-5625*r**2
Let f(r) = -r**2 - 5*r - 1. Let k(c) = -9*c**2 - 90*c - 18. Let t(j) = 18*f(j) - k(j). Let v(o) be the third derivative of o**5/30 + o**2. Calculate v(t(y)).
162*y**4
Let n(r) = -2*r. Suppose 0 = 5*z + 6 - 36. Let t(y) = -7*y**2 + 5*y - 5*y - z*y**2. What is t(n(p))?
-52*p**2
Let h(u) = 7*u**2. Let b(v) = 139508*v. What is b(h(j))?
976556*j**2
Let b(x) = -113*x**2 + 2*x - 659. Let j(v) = 6*v**2. What is b(j(t))?
-4068*t**4 + 12*t**2 - 659
Let t(o) = -o - 38. Let q(x) = 29*x**2 + x. Give t(q(i)).
-29*i**2 - i - 38
Let a(t) = -4*t. Let f(m) = 14754*m. Determine f(a(i)).
-59016*i
Let j(f) = -5*f. Let h(o) = 3066*o**2 + 67*o. Determine j(h(q)).
-15330*q**2 - 335*q
Let c(u) = -4*u**2. Let v(p) = -8*p - 5*p - 1 + 15 - 17. Give v(c(y)).
52*y**2 - 3
Let d(t) be the second derivative of 0 + 0*t**3 + 5/6*t**4 - 6*t + 0*t**2. Let v(j) = 2*j - j + 2*j - 4*j. What is v(d(b))?
-10*b**2
Let t(k) be the first derivative of 61*k**2/2 + 697. Let o(y) = 2*y. Calculate o(t(f)).
122*f
Let b(u) = 8*u**2. Let m(k) be the first derivative of 5*k**3/3 - 59. Calculate m(b(z)).
320*z**4
Let u(j) = -2*j. Let d(z) = -2*z**2 + 22*z - 906. Give d(u(f)).
-8*f**2 - 44*f - 906
Let f(g) = 16048 + 3*g - 16048. Let j(p) = -2*p**2 + 20. Calculate f(j(l)).
-6*l**2 + 60
Let v(o) = -6298 + 6298 + 2*o. Let a(z) be the third derivative of z**4 - z**2. Determine a(v(i)).
48*i
Let s(n) = n. Let a(f) = -4213*f + 519. What is a(s(i))?
-4213*i + 519
Let v(j) be the second derivative of 0 + 0*j**2 - 1/2*j**3 + j. Let u(a) = 3*a**2. Calculate u(v(g)).
27*g**2
Let m(i) be the third derivative of 1/12*i**4 + 0*i**3 + 0 + 12*i**2 + 0*i. Let u(n) = 8*n**2 + 2. Determine m(u(t)).
16*t**2 + 4
Let p(t) = t**2. Let y(m) be the first derivative of 2 + 0*m + 1/2*m**2. Calculate y(p(c)).
c**2
Let v(x) be the first derivative of -x**3/3 + 17. Let j(m) = -2*m - 19. Calculate j(v(o)).
2*o**2 - 19
Let a(s) = -3*s. Let p(i) be the first derivative of -15*i**2/2 - 56. What is a(p(d))?
45*d
Let f(z) = -104326*z. Let w(u) = -16*u. What is w(f(o))?
1669216*o
Let f(q) = -53*q. Let c(p) be the second derivative of 13*p**3/6 + 607*p. Give c(f(s)).
-689*s
Let y(d) = -3*d - 25. Let i(c) = 3*c + 34. Let k(q) = -4*i(q) - 5*y(q). Let z(t) be the third derivative of t**5/60 + t**2. Determine k(z(w)).
3*w**2 - 11
Let z(g) = -8*g**2. Let c(a) = -98*a - 20 + 117*a + 20. Calculate z(c(i)).
-2888*i**2
Let m(d) = -55941*d. Let b(a) = -4*a. What is b(m(f))?
223764*f
Let k be (2 - 4) + 1*-18. Let p = 132 + -131. Let d(x) = -16*x - 20. Let r(o) = -o - 1. Let s(h) = k*r(h) + p*d(h). Let y(b) = b**2. What is s(y(g))?
4*g**2
Let d(r) = 12*r. Let b(i) = 12*i - 14. Let s(f) = 4*f - 5. Let t(x) = -5*b(x) + 14*s(x). Give t(d(z)).
-48*z
Let n(h) = -981*h. Let a(m) = 1182*m - 1. What is n(a(z))?
-1159542*z + 981
Let g(m) = -8*m**2. Let k(c) = c - 17. Calculate k(g(i)).
-8*i**2 - 17
Let a(t) = 16*t. Let v(x) = -19709*x + 2. Calculate v(a(s)).
-315344*s + 2
Suppose -15 = -5*d - 3*f, 44*f - 12 = -4*d + 47*f. Let m(z) be the second derivative of 1/3*z**d + 0 - 11*z + 0*z**2. Let c(p) = -12*p**2. Calculate c(m(i)).
-48*i**2
Let i(m) = -2*m**2. Let j(c) = -19*c**2 + 1006*c. What is j(i(u))?
-76*u**4 - 2012*u**2
Let h(z) = 2*z**2. Let b(v) = 3*v - 2 - 4 + 2. Suppose 65 = -4*d + 21. Let k(q) = 9*q - 11. Let u(n) = d*b(n) + 4*k(n). What is h(u(l))?
18*l**2
Let d(h) = 8*h**2. Let j(b) = 5*b. Let y(f) = 0 + 0 - 51*f + 42*f. Let n(r) = 11*j(r) + 6*y(r). Calculate n(d(p)).
8*p**2
Let b(k) = -6*k. Let f(r) be the third derivative of r**4 + r**2 - 54*r. Give b(f(o)).
-144*o
Let x(f) = -2*f**2. Let t = 5929 + -4184. Let z(q) = 105*q - t + 1745. Give x(z(y)).
-22050*y**2
Let w(q) = -88*q**2 + 1 - 1 + 171*q**2 - 82*q**2. Let a(j) be the second derivative of 0 - 5/12*j**4 + 0*j**3 - 2*j + 0*j**2. Give w(a(h)).
25*h**4
Let r(w) = 3*w. Let k(d) = 7*d**2 + 127. Give k(r(s)).
63*s**2 + 127
Let w(o) = 2*o**2. Let z(j) be the third derivative of -9*j**2 + 0*j**3 - 11/6*j**4 + 0*j + 0. Give z(w(i)).
-88*i**2
Let l(x) = -2*x - 55. Let z(d) = d + 63. Give l(z(k)).
-2*k - 181
Let o(f) = -79*f. Let h(u) be the first derivative of -2*u**3/3 - 401. What is o(h(i))?
158*i**2
Let u(m) = 2*m + 1. Let h(w) = 496. Let a(c) = -h(c) + u(c). Let r(t) = -t**2. Give r(a(k)).
-4*k**2 + 1980*k - 245025
Let n(r) = 10631*r. Let w(f) = -18*f**2 - f. Calculate w(n(y)).
-2034326898*y**2 - 10631*y
Let g(x) = 704673*x**2. Let v(z) = -2*z**2. Determine g(v(d)).
2818692*d**4
Suppose -z = 5*q + 5, -5*q + 2 = 3*z + 7. Let k(d) = z*d + d + d. Let y(i) = 17*i - 2. Let s(h) = 120*h - 15. Let c(g) = 2*s(g) - 15*y(g). Determine k(c(r)).
-30*r
Let n(o) = 7*o - 19. Let p(l) = -752*l**2. Calculate n(p(w)).
-5264*w**2 - 19
Let k(v) = 22*v**2 + 62. Let c(f) = f**2. Determine c(k(i)).
484*i**4 + 2728*i**2 + 3844
Let t(l) = 22*l. Let x(u) = -86*u - 82*u - 87*u + 263*u. What is t(x(f))?
176*f
Let x(k) be the second derivative of 0 + 7*k + 0*k**2 - 35/12*k**4 + 0*k**3. Let j(f) = f**2. Give x(j(v)).
-35*v**4
Let n(u) = -143*u. Let h(s) = -1927*s + 3. What is n(h(q))?
275561*q - 429
Let t(b) = -16*b. Let m(a) = -17*a**2. Let j(v) be the second derivative of -v**4/2 + 4*v. Let q(s) = 11*j(s) - 4*m(s). What is q(t(k))?
512*k**2
Let v(w) = 2*w**2 + 5*w. Let d(u) = 3*u**2 + 8*u. Let c(g) = 5*d(g) - 8*v(g). Let p = -4 + 7. Let a(f) = -2*f + 4*f + p*f. Determine a(c(t)).
-5*t**2
Let f(c) be the second derivative of c**4/2 - 227*c. Let o(j) = 16*j. Give o(f(w)).
96*w**2
Let h(f) = 6*f. Let m(l) = 39*l**2 - 5*l + 10. Let c(z) = 58*z**2 - 8*z + 16. Let k(q) = -5*c(q) + 8*m(q). What is h(k(u))?
132*u**2
Let p(t) be the second derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4*g - 35200, 21*g + 5*n + 8800 = 22*g. Is g a multiple of 100?
True
Let s = -78 + 122. Suppose 0 = -a - 3*r + 4, 3*a = a + 3*r + s. Is a a multiple of 3?
False
Let s be -50*(168/30 - 5). Let z be 114/4*(-4)/3. Let n = s - z. Is 8 a factor of n?
True
Suppose 0 = 9*o - 13*o + 60. Let h be 4*(o/2 + 3). Suppose 3*m - h = 6. Is m even?
True
Let q(w) = -5*w**2 - 8*w + 8. Let i be q(1). Does 29 divide i/(-30) + 3479/6?
True
Suppose 17*u = 15*u + 238. Suppose 5*z = 2*l - 88, 0*l - z - u = -3*l. Is 13 a factor of 4/16 + l/4 + 3?
True
Suppose 3*t - 8666 = 2*d, -d - 103 = -105. Does 34 divide t?
True
Let w be (-3*(-24)/45)/((-2)/5). Let g(f) = 0*f + 2*f + 4*f**2 + 2*f + 8. Is g(w) a multiple of 14?
True
Let w(x) be the first derivative of x**3/3 - 2*x**2 + 24*x - 6. Is w(-8) a multiple of 6?
True
Let u(p) = -57*p - 667. Is u(-34) a multiple of 13?
False
Let u(h) = -h**3 + 10*h**2 + 3*h - 9. Let k be (-4*4/24)/((-1)/15). Does 6 divide u(k)?
False
Does 116 divide ((-744)/10)/((792/35728)/((-30)/7))?
True
Let w be -4 + (-17 + 1)/(-4). Suppose 0 = -3*g - w*g + 12. Does 22 divide 0/6 + 352/g?
True
Let a = 353 + -339. Suppose -a*o + 12*o = -154. Is o a multiple of 30?
False
Let g(k) = 2186*k**2 + 46*k + 42. Does 3 divide g(-1)?
False
Suppose 3*v + 25 - 247 = -3*d, d = 2*v + 83. Let n = 229 + d. Does 18 divide n?
True
Is 16 a factor of (249570/(-1175))/((-6)/130)?
False
Let v be (-87)/18 - 9/54. Let g(z) = z**3 + 3*z**2 - 11*z - 3. Let a be g(v). Is 19 a factor of (4/(-8) + 0)/(a/(-260))?
False
Let x be (8 - 3) + (-1 - -1). Suppose -f - 44 = x*t - 9*t, 4*t + 3*f = 44. Does 11 divide t?
True
Suppose -13*s + 1467 = -4*s. Suppose 599 = 2*j + s. Does 22 divide j?
False
Let f(r) = -7*r - 57. Let k(z) be the third derivative of -z**4/3 - z**3/2 - 40*z**2. Let t be k(2). Is 5 a factor of f(t)?
False
Let a = 19582 - 15607. Is 30 a factor of a?
False
Let g(l) = l**2 + 349. Let d be g(0). Suppose y + 5*y - 161 = -149. Suppose 0 = 2*z - 5*z - c + d, 226 = y*z - c. Is 47 a factor of z?
False
Suppose 3*m + 246 = 1206. Does 55 divide (m/12)/16 - 1315/(-3)?
True
Let w = 535 - 533. Is (w - 1) + -5 - (-25 + -290) a multiple of 31?
False
Suppose 4*i - 82 = 206. Let b = -38 + i. Is b a multiple of 4?
False
Does 31 divide ((-4)/3 + (-2366678)/732)*-2?
False
Let j = 392 - 392. Suppose j = 15*f - 1297 - 893. Is f a multiple of 10?
False
Let o(b) = 3*b**3 - 29*b**2 + 147*b + 30. Let q(m) = m**3 - m - 5. Let v(c) = o(c) - 2*q(c). Is 32 a factor of v(24)?
True
Let u = -153 + 157. Suppose 0 = -9*a + u*a + 600. Is a a multiple of 24?
True
Let z = -123 - -123. Suppose 3*a - k = 302, -4*k + z*k - 508 = -5*a. Is 8 a factor of a?
False
Let w(o) = -2*o**2 + 77*o - 128. Let q be w(37). Let r(p) = 5*p**2 + 65*p + 6. Does 15 divide r(q)?
False
Let x(d) = -161*d**3 - 2*d**2 + d + 2. Suppose -66 = -2*o + o. Let y = o - 67. Is x(y) a multiple of 16?
True
Let x(g) = 40*g**2 + 61*g - 58. Does 5 divide x(-22)?
True
Suppose -39*f + 1294 = -11537. Suppose 11*o + f = 1088. Is 23 a factor of o?
True
Suppose 143*o - 21*o - 1288587 = 11933. Does 13 divide o?
True
Suppose -2*c = -5*v - 29485, -163*v = -164*v + 7. Does 13 divide c?
False
Let m(s) = 300*s - 135. Let q(j) = 299*j - 134. Let w(g) = 4*m(g) - 3*q(g). Does 35 divide w(6)?
True
Let o be (3/3)/((-2)/6). Let m(l) = -l**3 - 3*l**2 - 2*l - 9. Let i be m(o). Let a(v) = -2*v**3 - v**2 + 2*v + 2. Does 8 divide a(i)?
False
Let r = -53 + 53. Suppose 5*b - 816 - 614 = -5*z, -3*b + 4*z + 879 = r. Is 33 a factor of b?
False
Let y = 864 - 859. Suppose -5*w + 2*p = -1599, -3*w + 597 = y*p - 350. Is w a multiple of 28?
False
Let z = 9656 + -7100. Is z a multiple of 3?
True
Let n = 294 + -297. Is 20526/27 + n/((-135)/(-10)) a multiple of 20?
True
Let l(k) = 2*k**2 + 4*k - 20. Let c(d) = d**2 + 9*d + 8. Let m be c(-7). Does 11 divide l(m)?
False
Let s be 483/115 + 3/(-15). Suppose -s*w + 1128 = -5*q - 882, -4*w - q + 2022 = 0. Is 42 a factor of w?
False
Let c(s) = -116*s**2 - s + 25030. Does 10 divide c(0)?
True
Suppose 28*l - 29*l + 2592 = 0. Suppose 31*o = 22*o + l. Is 18 a factor of o?
True
Suppose -6 = 9*i - 42. Let a(v) be the first derivative of 14*v**3/3 - 10*v**2 + 3*v + 1. Is a(i) a multiple of 21?
True
Suppose 2*v + 5*t = 103, -4*v + 0*v + 5*t + 221 = 0. Is 11 + 11136/v - 2/9 a multiple of 7?
True
Let n(z) = 32*z**2 - 29*z**2 - 21*z - 13*z. Is 58 a factor of n(-8)?
True
Suppose 0 = 1134*w - 1174*w + 1048000. Is 40 a factor of w?
True
Suppose 4*j + 3*o = 3497, 133*o = 4*j + 138*o - 3503. Does 3 divide j?
False
Suppose -4*p - 2*g + 17538 = 0, 24*g = p + 28*g - 4388. Does 16 divide p?
True
Let u = -305 - -313. Suppose 64 = -6*z + u*z. Does 16 divide z?
True
Let z(s) = -723*s**3 - 52*s**2 - 53*s + 1. Is 29 a factor of z(-1)?
True
Let m be 4/18 + 129/27. Suppose -2*n + 7*n = -3*g + 17, 15 = 5*g - m*n. Is (-105)/(-4) + 3/g a multiple of 27?
True
Suppose 7*g = 3614 + 36657. Is 92 a factor of g?
False
Let j(n) be the second derivative of 5*n**3/6 - 24*n**2 + 37*n. Let z be j(10). Suppose -i - z = 0, -w + 2*i + 94 = 2*w. Is w a multiple of 5?
True
Suppose 5*t = -43 - 82. Let w = -25 - t. Is 8 a factor of 0 - w - (1 - 9)?
True
Let u be -4 + ((-9)/3 - -2 - 1). Is (-391)/(-6) - u/(-36) a multiple of 13?
True
Let l(q) = -2*q - 11 - 5 + q - 5. Let m be l(18). Is 20 a factor of (m + -1)/(2/(-10))?
True
Suppose 101*y - 117*y + 32 = 0. Suppose -y*f + 34 = -5*m + 134, 40 = 2*m - f. Is 20 a factor of m?
True
Does 29 divide 1696 + 0 + -12*7/21?
False
Let m(z) = -26*z**2 + 15*z**2 + 10*z**2 - z. Let d be m(-1). Suppose -4*v = -d*v - 144. Does 6 divide v?
True
Let a(v) = 3*v**3 - 30*v**2 + 25*v - 30. Let s(c) = 2*c**3 - 16*c**2 + 13*c - 14. Let z(n) = 3*a(n) - 5*s(n). Does 23 divide z(-12)?
False
Let w be ((-8)/(-12))/(3 - (-15520)/(-5172)). Is 30 a factor of 9/(-12)*(-18 + w)?
True
Let i(m) = -m**2 - 25*m - 43. Let a be i(-23). Suppose -13*c + 10*c = -a*q - 375, 0 = q - 5. Is c a multiple of 22?
False
Suppose 30 + 54 = -4*x. Let j = x + -37. Let k = j - -89. Is k a multiple of 24?
False
Suppose -11*y + 7*y = -z - 53185, 5*y + 5*z - 66500 = 0. Is 8 a factor of y?
False
Let z(h) = -9186*h + 2769. Does 8 divide z(-3)?
False
Let h = 6716 + -6577. Does 3 divide h?
False
Let m = 2825 - 2213. Does 12 divide m?
True
Is (1 - -10347) + (-85)/(-5) a multiple of 157?
False
Let f be ((-27)/(-12) + -2)/((-2)/(-808)). Let v = f + 89. Is v a multiple of 35?
False
Let l be 20/70 - (-60)/(-14). Let v be (2 + -3)*(5 + l). Does 3 divide (2*v)/(18/(-153))?
False
Let i = -7057 + 27945. Is i a multiple of 56?
True
Suppose 5*w + 165 = y, 3*y - 3*w + 137 - 620 = 0. Suppose -4*b + 156 = -y. Suppose 0 = 74*a - b*a + 785. Is a a multiple of 10?
False
Let n be 125 + 0/(-3*4/6). Let x = n - 86. Is 13 a factor of x?
True
Let p(y) = y**2 + 2*y - 26. Let g = -46 + 54. Suppose 7*c = 2*n + 3*c + 46, 2*c - g = 0. Does 13 divide p(n)?
True
Suppose -6*n = -227 - 13. Is 14 a factor of 4/2 - (n*17)/(-5)?
False
Let x = -8198 - -8553. Is x a multiple of 5?
True
Let p = 281 + -198. Suppose 4*t - 3*t + 2 = -o, o - 2*t = 10. Suppose -3*y + 195 = 2*f, -p - 47 = -o*y - f. Is 21 a factor of y?
False
Let p = -28073 - -29178. Does 13 divide p?
True
Let l(n) = 68*n - 1031. Does 5 divide l(27)?
True
Suppose d + 5 = 0, -5*f + 15*d + 45380 = 11*d. Is f a multiple of 4?
True
Suppose 4*i = -m - 75, -3*i = 2*i + 2*m + 90. Let u = 804 - 802. Is (u + 8/(-3))*9*i a multiple of 12?
True
Suppose -k - 5*c = -544, -15 = 4*c + 5. Suppose 12*v - k = 1303. Is 12 a factor of v?
True
Let i = -161 + 225. Suppose -2*c + 156 + i = 0. Is c a multiple of 9?
False
Let b = -7066 + 12168. Does 10 divide b?
False
Suppose -d - 4 = -3*s, -2*d + 9 = -2*s + d. Suppose 0*o + a + 416 = 5*o, s*a - 246 = -3*o. Is 6 a factor of o?
False
Is 14 a factor of 48930/20*(272/6)/17?
True
Let j = -6 - -8. Suppose j*y - 90 = -4*o, 61 + 19 = 3*y - 5*o. Is 2 a factor of y?
False
Suppose 1445055 = 399*h - 3941046. Is 8 a factor of h?
False
Suppose -3*j = 12, -4*r = 4*j - 126283 + 13983. Is r a multiple of 43?
True
Let s = -16726 + 38221. Is s a multiple of 8?
False
Suppose 3*c = 5*k + 5405, -2*c - 719 - 4711 = 5*k. Let z = k - -1778. Suppose -l - b = l - z, 0 = 4*l - 3*b - 1398. Is l a multiple of 32?
False
Let n be (7 + (2 - 8))*(-346)/(-2). Let q = -81 - n. Let h =
|
{
"pile_set_name": "DM Mathematics"
}
|
59/(-58795)?
50
((-62)/(-5859)*-21)/(-4*(-4)/(-32))
4/9
Evaluate (54/(-4068))/(189/(-42))*-1*2.
-2/339
Calculate ((33/77)/(115/18515))/3.
23
((-375)/(-350))/(-6*(-3)/252)
15
What is -4*(4*(-10)/((-240)/(-261)))/(-6)?
-29
Evaluate (1/637*14)/((2/210)/((-121)/(-363))).
10/13
Evaluate (-110)/60*50/(-275)*(-10)/1.
-10/3
What is (-4)/(24/(-5))*((-41070)/26825)/(-74)?
1/58
Calculate (-63)/(-14)*(-34)/(-4284).
1/28
Evaluate -3*(-2)/(-6)*(-4016)/9036.
4/9
What is the value of (-48)/(-75)*6845/208088?
2/95
Calculate (-2)/((4956/210)/59).
-5
Evaluate -270*5/(-275)*-11.
-54
(-2)/6*(-12)/(-10)*12*(-210)/(-15624)
-2/31
((-4)/(-44)*11)/(35/2030)
58
What is (12472/28062)/(2/279)?
62
What is (5/8*3452/(-5178))/((-585)/24)?
2/117
Evaluate (-12880)/(-1400)*(-130)/(-416).
23/8
3/((2/(-230))/((-1042)/(-7815))*2/(-3))
69
What is the value of (3/(-10))/(59616/(-2880))*3*2?
2/23
(-10)/(-1)*(-378)/(-6804)
5/9
5/(-50)*0*(-113)/339
0
What is (1/3)/(5*(-2)/180)*10/(-26)?
30/13
What is the value of (1/(-1))/(((-225)/27)/5)*(-1155)/(-11)?
63
(1188/(-8))/9*(-350)/(-1365)*-13
55
What is -42*((12285/486)/91)/((-20)/84)?
49
Calculate (295/(-236))/(170/32).
-4/17
Evaluate (-23)/(52003/(-76))*-7*(450/(-12))/(-15).
-10/17
(61/((-12932)/106))/(1/34)
-17
((-8)/(96/(-95)))/(-50*(-90)/2400)
38/9
What is the value of 8/1280*40*33/1*40/15?
22
Evaluate -4*8/(-80)*180/((-32)/(-16)).
36
What is (-65)/117*48/144?
-5/27
Calculate (-1*(-5)/69)/((-12170)/(-29208)).
4/23
Calculate (480/(-600))/(((-1)/5)/((-9)/27)*-1).
4/3
14/(-4)*(-1760)/(-20)*(-21)/84
77
9/(-4)*((-11544)/468)/((-3)/6)
-111
What is the value of 1*(9/(-3))/(-3)*87/2523?
1/29
(1/((-987)/(-18)))/(2031/(-4739))
-2/47
Calculate ((-2009)/(-14))/41*-1*(-216)/28.
27
What is 1266/596286*18/2*(-1)/3?
-1/157
Calculate 81/12*(-12)/(-594)*(-36)/27.
-2/11
1/8*-6*((-1475520)/(-261))/(-80)
53
((-2)/(-6))/(152/24624)
54
What is (-1044)/(-87)*1/(20/(-830))*(-5)/30?
83
What is the value of 65/(-26)*(320/100)/((-190)/133)?
28/5
4/((-16)/(-42))*(-288)/(-1056)*(-22)/18
-7/2
Evaluate 8470/(-1815)*(-984)/(-56).
-82
What is ((-4)/10)/(17/((-54145)/(-98)))?
-13
What is the value of 132/1*(-54)/(-1188)?
6
What is the value of (-252)/24*(3942/(-84))/(-73)?
-27/4
What is (217/12799528*-219)/(2*6/(-16))?
1/202
What is 4*(-15*1*(-45)/750)/((-6)/(-85))?
51
What is ((662/2317)/(5/(-1435)))/1?
-82
What is ((-1392)/384)/(2/(-8))*52/(-13)?
-58
What is (-13)/(((-136136)/6512)/(-119))?
-74
Evaluate 10/5*425/(-34).
-25
What is the value of -2*2*(-9)/(594/(-77))*5/(-175)?
2/15
What is the value of ((-222)/(-592))/(7/224*8)?
3/2
Evaluate ((225/1320)/15)/(792/(-4224)).
-2/33
((-1677753)/(-44385))/((-6)/(-10))
63
What is 57/(-209)*(626/313)/(3/5)?
-10/11
((-19032)/780)/(-122)*-295*1
-59
112*((-4)/308)/(113/(-2486))
32
What is ((-1)/184)/((81576/(-1408))/309)?
2/69
(5688/474)/(2*6)*4/(-14)
-2/7
(-8)/4*1265/(-55)
46
Evaluate (27400/(-98640))/(3/(84/10)).
-7/9
13/(52/24)*203*30/28710
14/11
(-4550)/(-40)*(-6762)/(-102557)
15/2
What is the value of (((-318)/20)/((-453)/1208))/(25/((-2125)/34))?
-106
Calculate (68/(-1190))/((-28)/10)*-3.
-3/49
1*7*64*(-869)/(-35392)
11
(-33)/((-3960)/48)*14/4*10
14
What is the value of 2/(-177)*13179/(-8786)?
1/59
What is ((28/(181300/(-105)))/(3/(-10)))/((-24)/(-6))?
1/74
What is (10/6)/(((-2266)/(-22))/2781)?
45
140/(-7230)*(-2424)/5656
2/241
Evaluate ((-123)/(-8118)*-1617)/(-2*(-3)/24).
-98
Calculate 82*(-1)/(-3)*1008/672.
41
What is (19623/287804)/((-3)/11)?
-1/4
What is the value of (-13)/(-26)*-29*(-8)/48*1*4?
29/3
Evaluate (246160/408)/181*1*48/25.
32/5
What is the value of (26/6)/(11/495*-15)?
-13
What is 279*252/480438*3/18?
1/41
What is the value of (18/(-14)*(-2737)/4692)/(-6*2/(-268))?
67/4
Evaluate (2/5)/(25*72/6000).
4/3
What is the value of (-75*12/(-4350))/((-4)/(-2))?
3/29
(40/(-7))/(((-5)/(-360)*40)/((-10)/12))
60/7
What is the value of (40/1296)/(((-1275)/204)/(-5))?
2/81
Evaluate (-3)/(-4)*(48/(-84))/(936/273).
-1/8
Evaluate -16*11454/(-332)*1/12.
46
Calculate (4/(-44))/(((627/110)/19)/((-17)/425)).
2/165
Calculate (166/(245016/(-410)))/(30/81).
-3/4
Evaluate -63*(-70)/(-2695)*-4*1/(-6).
-12/11
((-688)/(-24))/(7*(-41)/861)
-86
What is the value of 20/(-1)*(-22)/(-5)*(-7140)/(-13090)?
-48
Evaluate ((-12)/80)/((3016/390)/58).
-9/8
What is (-10)/(-4)*3280/(-23124)*-141?
50
Evaluate 540/(-74466)*-7*1/(-5).
-2/197
What is the value of 22/(-15)*115*1122/1182775?
-4/25
Calculate (-3)/2*2*(-336)/9*80/280.
32
Evaluate (210/360*4)/(-4*(-91)/7020).
45
4*((-5)/100*-30)/(24/(-152))
-38
What is (-3)/((-4)/44*(-30)/210*49/(-7))?
33
What is (4/(-4)*(-49)/196)/((-5)/(-740))?
37
(-12)/10*37/((-17760)/64)
4/25
What is the value of (185*(-2)/2)/(2/(-22*(-8)/220))?
-74
What is the value of (13/((-1404)/18))/(9/(-918))?
17
(-18)/(-6)*(-3)/(-405)*-2
-2/45
Calculate ((-135)/(-36))/(70/168)*(-10)/(-45).
2
Calculate 1/(3/(-864)*6).
-48
What is ((-1)/(-26))/(62/34844*281)?
1/13
((-250)/(-2275)*-7)/((-6)/429)
55
What is (-4)/(-75)*5*20/8*(-171)/(-2)?
57
Evaluate (-40)/10*18/(1260/14).
-4/5
Evaluate 24*2937/(-1958)*17/(-36).
17
Calculate (112/(-1050)*-5)/((-120)/(-36)).
4/25
Evaluate ((-7711)/2804)/((-1419)/12).
1/43
((-2)/(-6)*-1*(-20706)/(-6902))/((-1)/23)
23
What is (6*(-2)/(-195))/(172*(-25041)/(-548938))?
2/255
What is (-1)/(-2)*-1*48/852*2035783/1082?
-53
What is (6/(-4)*39/104247*81)/((-1)/(-2))?
-1/11
What is the value of ((-7)/((-140)/16))/((-10856)/460)?
-2/59
(-216)/(-20)*(-6528)/(-1728)*((-5)/(-2))/(-1)
-102
409/(1862177/1884)*29
12
What is the value of 55/60*608/456*2?
22/9
Calculate (-1)/(-2)*200/650*((-15730)/20)/(-11).
11
What is ((-6)/(-4)*116/(-87))/((-168)/(-252))?
-3
Evaluate ((-8)/(-8))/(4/(-5)*9/216).
-30
What is 45*(-8)/96*14/28?
-15/8
((16/10)/(-4))/(12*(-49)/(-294))
-1/5
1008/(-2688)*8*(-14)/483
2/23
Evaluate -2*465/(-240)*-8.
-31
What is the value of 1575/(-2100)*(-55)/22*(-8)/(-5)?
3
(-164)/(-2337)*(4/(-16))/(3/36)
-4/19
Evaluate 33/15*(-592110)/(-15147).
86
What is the value of 11/(-462)*8*98/(-112)*4*-1?
-2/3
Calculate (-15)/48*(-9)/(-495)*22.
-1/8
What is the value of (40/6)/((14/(-120))/(119/1904))?
-25/7
What is 8/6*(-21)/(-8)*13632/174944?
3/11
((-58)/(-116))/(((-630)/2664)/(-35))
74
Evaluate 1/(8/6)*348/((-430128)/(-2266)).
11/8
What is the value of (147726/615525)/((-666)/(-50))?
2/111
What is the value of 8/(-740)*((-60)/(-84))/(117/(-273))?
2/111
-3*1330/2793*(-42)/(-75)
-4/5
Calculate 250/(-5400)*-81*10/(-3)*12/(-10).
15
What is the value of 5764/12969*(-252)/((-4)/(-1))?
-28
Evaluate 21552/8082*(-3)/(-6)*-9.
-12
Evaluate (-1)/(-35)*124540/(-43589).
-4/49
What is the value of (766/18767)/(-1*20/28)?
-2/35
Evaluate ((-20569)/1535)/((-9)/(-45)).
-67
What is the value of ((-28)/10)/(862/6465)?
-21
Evaluate -24*(-4)/198*7/(28/(-15)).
-20/11
What is (18/(-3))/((6/8)/(1178/(-248)))?
38
21*106/(12190/(-69))
-63/5
Evaluate 49/609*((-51)/(357/14))/(14/(-2)).
2/87
Calculate (-178)/((-1168)/1898*(-65)/10).
-89/2
((-17)/255*-25)/((-8)/40*-5)
5/3
28/(-96)*3*(-160)/560
1/4
What is (((-4)/(-714))/(401/(-5614)))/(((-8)/6)/(-2))?
-2/17
Calculate 76/(-19)*360/560*(-7)/(-60).
-3/10
Evaluate -55*(-130)/(-28600)*252.
-63
Calculate (28/126)/((-219)/(-1533)).
14/9
What is the value of 156/36*1*(-1)/((-9)/((-27)/(-39)))?
1/3
Evaluate (-1848)/77*5/10.
-12
What is ((-78)/(-351))/((-56)/(-63))*-36?
-9
What is (77/(-56)*2)/(186/(-2976))?
44
Calculate (69/7590*-22)/(219/15).
-1/73
What is ((-16)/(-28))/((-28)/8*31/(926590/40))?
-122
((-107460)/(-300888))/((15*1)/((-4)/(-1)))
2/21
(-4)/24*(-576)/2256
2/47
What is (6096/14224)/((-31)/(-7))?
3/31
What is the value of -1*(-2)/3*(-191)/545496*-252?
1/17
What is the value of (((-12)/32*2)/(153/4488))/(10/30)?
-66
What is the value of (35/(-7)*14)/((108/12)/9)?
-70
What is the value of (0/(-8*(-13)/(-104)))/2?
0
Calculate -21*140/(-1428)*-17.
-35
What is the value of (20/(-120))/((-10)/40)*(-135)/10?
-9
Evaluate 15097/2922*(-105)/35.
-31/2
What is (((-32)/(-10))/4)/(151/(30200/(-10320)))?
-2/129
What is 45474/4823*(-14)/(-3)?
44
(25/10)/((-2100)/280)*(-9)/624*2
1/104
What is the value of ((209/(-19))/297)/(-2*(-1)/60)?
-10/9
What is the value of (108/(-72))/((-36)/(-768))?
-32
Evaluate (2625/700)/((-2)/(-16)).
30
What is the value of (8/(-54))/((80/44)/(48/88))?
-2/45
Calculate ((-1044)/24)/(
|
{
"pile_set_name": "DM Mathematics"
}
|
968567.30438. Let u = d + -6521402751. Let x = 29 + u. Round x to seven dps.
-0.0000004
Let z = 34 - 31. Suppose 0*q - 321000 = z*q. Round q to the nearest ten thousand.
-110000
Let a = 646 + -643.824. Round a to one dp.
2.2
Let j = 3364 - 3363.999997669. Round j to seven dps.
0.0000023
Let o be (-5)/(-4)*12/3. Suppose -921 = -2*t + o. Round t to the nearest one hundred.
500
Let k = 138.271 - -1.129. What is k rounded to the nearest ten?
140
Let y(s) = -s - 13. Let p be y(-13). Suppose -3*m + p*m - 5*j = 80980, 4*j = 16. What is m rounded to the nearest 10000?
-30000
Let n = 0.0188 + -7.1588. Let d = -4.8 + n. Let i = 12 + d. What is i rounded to 1 decimal place?
0.1
Let s(x) = -51110*x + 18. Let c be s(-9). Suppose 5*r + 4*w + c = 0, -5*r - 2*w + 0*w = 460004. What is r rounded to the nearest ten thousand?
-90000
Let y = -23 - -24.44. What is y rounded to one decimal place?
1.4
Let h = -1030 + 441. What is h rounded to the nearest 10?
-590
Let c = 6.195 + -1.305. What is c rounded to 1 dp?
4.9
Let g = 11.4621 + -0.0121. Let s = 11.8 - g. What is s rounded to zero dps?
0
Let f = -35.60775 - 0.02225. Let y = f - -3.23. What is y rounded to the nearest integer?
-32
Let w = 0.382 + -0.052. Let p = w - -0.09. Let u = p + -0.419924. Round u to 5 dps.
0.00008
Suppose 0 = -2*l - 3*n + 58439997, 0*l = -l + 2*n + 29220002. What is l rounded to the nearest 1000000?
29000000
Let z = 2177024.99999985 - 2177022.1. Let f = -2.9 + z. Round f to seven dps.
-0.0000002
Let s(k) = -k - 2. Let a be s(-3). Let m be a/(-3) - 2505/(-9). Suppose -54278 = -2*w + 2*l - m, 4*l + 135000 = 5*w. What is w rounded to the nearest 10000?
30000
Let g = -12.9 - -137.9. Let z = g - 66. Let m = -58.99871 + z. What is m rounded to four decimal places?
0.0013
Suppose -2*l + 2*i = 8, -4*i = l - 0*i + 19. Let n be l/21 - (-6751)/3. Round n to the nearest 100.
2300
Let n = 772 + -771.99999334. What is n rounded to 6 decimal places?
0.000007
Let p(b) = -760*b**3 - 4*b**2 + b + 3. Let a be p(-2). Round a to the nearest one thousand.
6000
Let s = -3439049.7 - -3439066.700063. Let w = 12 - 29. Let m = s + w. What is m rounded to five decimal places?
0.00006
Let y = -601 - -285. Let g = -329.3 - y. What is g rounded to the nearest integer?
-13
Let x = -0.04244 + -0.061. What is x rounded to 3 decimal places?
-0.103
Let r = -288759.5600315 + 288759. Let u = 0.56 + r. Round u to 6 dps.
-0.000032
Let f = 12.4 - 47.3. Round f to the nearest integer.
-35
Let c = 3.24 + -1.75. Let p = 0.19 - c. Let b = 1.30000005 + p. What is b rounded to seven decimal places?
0.0000001
Let o = -1.2572984663 - -1.2573. What is o rounded to 7 decimal places?
0.0000015
Let v be (-129 + -1)*2*506/88. Round v to the nearest ten.
-1500
Let c = -0.0257 + 282.0257. Let d = c - 283.71. What is d rounded to one decimal place?
-1.7
Let a = 31329 - 31263.067. Let c = 66 - a. What is c rounded to 2 dps?
0.07
Let q = -673 - -732.3. Let y = -57 + q. Let p = -2.304 + y. Round p to 2 decimal places.
0
Let v = 27 + -3. Let i be 2/4 - (-108)/v. Suppose -4*n - 563991 = -3*w, -5*w - 705015 = i*n - 0*n. What is n rounded to the nearest ten thousand?
-140000
Let m = -682 + 625.9. Let j = -150 + 210. Let v = j + m. What is v rounded to zero dps?
4
Let k = 177 - 84. Let w = 154 - k. Let a = -61.0118 + w. What is a rounded to three dps?
-0.012
Let d = -2817308.2058469 + 200373.2058461. Let q = -2616933 - d. Let l = q - 2. What is l rounded to 7 dps?
0.0000008
Suppose -45603 = 2*b + p, -25*b + 23*b + 2*p - 45594 = 0. Round b to the nearest 10000.
-20000
Let g = -6430.3679798 + 6429.828. Let y = -0.54 - g. What is y rounded to 6 dps?
-0.00002
Suppose 4*y + 103018 + 40582 = 0. What is y rounded to the nearest one thousand?
-36000
Let a = 113.041 + -113. Round a to two dps.
0.04
Let y = 3.37 - 3.54856. Let k = 0.08138 - y. Let x = k + -0.26. What is x rounded to four decimal places?
-0.0001
Let k(g) = g**2 + 11*g + 5. Suppose 0 = -3*i + 2 + 7. Let r = i + 4. Let c be k(r). Round c to the nearest 10.
130
Let n = 67 + -65. Suppose -8*q + 3*g - 171000006 = -5*q, -n*g + 57000004 = -q. What is q rounded to the nearest one million?
-57000000
Suppose -4*f - 4*y + 43644 = 0, 8 = 7*y - 3*y. Let z(h) = 79*h**3 - 3*h**2 - h + 5. Let n be z(4). Let d = n - f. Round d to the nearest one thousand.
-6000
Suppose 1053531607 = 16*h - 474628393. What is h rounded to the nearest one million?
96000000
Let j = -10906224 + 19506224. What is j rounded to the nearest 1000000?
9000000
Let t = -2445 - -2618.1. Let a = t - 186. Round a to 0 decimal places.
-13
Let m(b) = b**3 - 16*b**2 + 24*b + 51. Let y be 4 + 15/(-4) + 83/4. Let o be m(y). Round o to the nearest one hundred.
2800
Let h = -52 + -9.8. Let j = 54 + h. What is j rounded to 0 decimal places?
-8
Let i = -2942760 + 1949160. What is i rounded to the nearest 10000?
-990000
Let n = -480.99422 + 481. What is n rounded to four decimal places?
0.0058
Suppose 0 = 6*t - 6118 - 6944. What is t rounded to the nearest one hundred?
2200
Let k = 58651 - 36956. Suppose 0 = -4*l + k + 18305. What is l rounded to the nearest 100000?
0
Let k = 1285 - 1285.007738. Let u = 95 - 94.992. Let s = u + k. What is s rounded to 5 decimal places?
0.00026
Let d = -74.75 - -1.45. Let v = -70.114 - -0.114. Let n = d - v. What is n rounded to 0 dps?
-3
Let j = -7833312 - 26688. Round j to the nearest 100000.
-7900000
Let u = -33650000.00326 - -33649624. Let m = u - -376. Round m to 4 dps.
-0.0033
Let x be (0 + (-2)/(32/(-20)))*4. Suppose -x*l = 2*z - 19149996, -4*l - 4*z + 4363682 = -10956310. Round l to the nearest one hundred thousand.
3800000
Let g = 622.369438 - 619.14765087. Let r = g + -91.22179283. Let o = r - -88. Round o to six dps.
-0.000006
Let n = -99476.43441 - -99486.414074501. Let y = 0.979664481 - n. Let t = 9 + y. Round t to 7 decimal places.
0
Let v = 248731.08845 + -249012.08844606. Let f = -281 - v. What is f rounded to six dps?
-0.000004
Let m = -54 + 45.6. Let b = -12.1 - m. Let o = b + 3.69966. Round o to four dps.
-0.0003
Let t(z) = -732014*z - 98. Let n be t(-7). Round n to the nearest one hundred thousand.
5100000
Let v = -0.1337 - -0.08025. What is v rounded to two decimal places?
-0.05
Let i = 6127 - -576. Let r be (-2 - (-6)/(-2))*i. Let m = -9485 + r. What is m rounded to the nearest ten thousand?
-40000
Suppose -12037083 - 71802917 = -16*l. What is l rounded to the nearest 100000?
5200000
Let z = 0.62 - 9.22. Let n = z - -7. Let s = n - -1.60035. Round s to 4 decimal places.
0.0004
Let d = -6.6431 + -0.1649. Let t = -6.7 - d. Round t to 2 decimal places.
0.11
Let u = 9348055675.90000461 + -9348055724. Let k = u + 48.1. What is k rounded to seven decimal places?
0.0000046
Let t be 250*(488/5 + -12). Round t to the nearest one hundred.
21400
Suppose -1 = -f + 2. Suppose -112 = 4*o + f*u, -3*o - 4*u = -u + 87. What is o rounded to the nearest 10?
-30
Let z = 7 + -4. Let y be 2*14/(-36) + 24/(-108). Let r be (-30000)/((z/890)/y). What is r rounded to the nearest 1000000?
9000000
Let d = 3.6199 + 0.0301. What is d rounded to the nearest ten?
0
Suppose -6*a - a = 0. Let h(z) = z**2 - z - 183000. Let c be h(a). What is c rounded to the nearest 10000?
-180000
Let y = -326 + 325.999999926. What is y rounded to 7 decimal places?
-0.0000001
Let n = 1928081367 + -1928081586.9999863. Let y = 219.9095 + 0.0905. Let s = y + n. Round s to 6 dps.
0.000014
Let v = -36 - -35.994. Let p = -0.0059914 - v. What is p rounded to 6 dps?
0.000009
Let b(c) = c + 6. Let i = -29 + 23. Let l be b(i). Let s be 11300001 + (3 - l) + -4. What is s rounded to the nearest 1000000?
11000000
Let f(y) = 532077*y + 3. Let g be (-1 + -1)*(-1 - 0). Let b be f(g). Let s = -264157 + b. Round s to the nearest one million.
1000000
Suppose 0 = 14*c - 24*c + 9060. Round c to the nearest 10.
910
Let s = 741.99996392 + -742. Round s to six decimal places.
-0.000036
Let h = -1920.00008645 + 1920. What is h rounded to 6 decimal places?
-0.000086
Suppose -60 = 3*s - s - 5*y, 4*s + 104 = 2*y. Let f = 18 - s. What is f rounded to the nearest ten?
40
Let v(c) be the second derivative of 610*c**4/3 - c**3/2 + 15*c**2/2 - 22*c. Let h be v(5). What is h rounded to the nearest ten thousand?
60000
Let x = -236.5 - -261. What is x rounded to the nearest integer
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*q + 2*q + o = -5*l. List the prime factors of q.
2, 3, 31
Suppose v + 3*z = 62, -v + z + 50 = -0*v. Suppose 534 = 2*a - 2*m, -4*m - v = -a + 199. Let f = a + -158. List the prime factors of f.
2, 3, 19
Let t be (-89)/(-1*(-1)/(-2)). Let m(q) = 34*q + 1051. Let w be m(-34). Let j = t + w. What are the prime factors of j?
73
Suppose 244*i = 238*i + 65064. What are the prime factors of i?
2, 2711
Let x(n) = 5*n + 426. Let h be x(0). What are the prime factors of h - (9 - 4*9/12)?
2, 3, 5, 7
Suppose 45*x - 7*x = 271738. List the prime factors of x.
7151
Suppose 2*q = 3*p + 15558 - 675, -12 = 4*p. What are the prime factors of q?
3, 37, 67
Let g(j) = -136*j + 64. Let o be g(-7). Suppose 4*h - 31 = -3. Suppose o = b + h*b. What are the prime factors of b?
127
Let k be 387/27 - 4/(-6). Suppose 0*x = -4*x. Suppose -2*o - 2*o + 5*a + 67 = x, k = -5*a. List the prime factors of o.
13
Let d = -22893 + 33057. What are the prime factors of d?
2, 3, 7, 11
Suppose 16*n - 20*n = -1832. What are the prime factors of 2*-1*n/(-2)?
2, 229
Suppose 22 = 4*i - 18. Suppose 0 = -i*g - 1049 + 5799. Suppose v + g = 6*v. List the prime factors of v.
5, 19
Suppose 86*p - 908502 = -108*p. What are the prime factors of p?
3, 7, 223
What are the prime factors of 6233/(-5)*130/104*-4?
23, 271
Let i = -17 - -62. Let j be 58/18 + (-10)/i. Suppose -j*z + 294 = -30. List the prime factors of z.
2, 3
Suppose -7545 = -511*r + 341*r + 1765725. List the prime factors of r.
3, 19, 61
Let a(q) = 3*q**2 + 83*q + 2715. What are the prime factors of a(-71)?
5, 2389
Let s = -35972 - -61540. List the prime factors of s.
2, 17, 47
Let x(v) be the third derivative of v**4 + 3*v**3/2 + 26*v**2 + 1. What are the prime factors of x(4)?
3, 5, 7
Suppose -5*s + 16*q - 15*q = -12295, 2*s - 4918 = -5*q. Suppose -4*x - s = -6811. What are the prime factors of x?
2, 17
Let s(o) = -8*o**3 - 21*o**2 - o + 39. Let c(u) = 4*u**3 + 10*u**2 - 20. Let r(b) = 7*c(b) + 3*s(b). List the prime factors of r(4).
3, 37
Let p(j) be the first derivative of 20*j**3/3 + 3*j**2/2 + 2*j - 8. What are the prime factors of p(-4)?
2, 5, 31
Suppose 5*f - 2*o = 49023, f - o = 6355 + 3446. List the prime factors of f.
3, 7, 467
Let v(c) = -52*c - 52. Suppose 10*y + 111 = -79. List the prime factors of v(y).
2, 3, 13
Suppose -s = -a - 8593 + 1462, -5*s - 5*a = -35635. What are the prime factors of s?
7129
Suppose -4*c + 67628 = -4*r, 6*r + 36 = 10*r. List the prime factors of c.
2, 4229
Suppose 5*k - 26107 = 4*w, 2*w - 10447 = -2*k + 5*w. List the prime factors of k.
17, 307
Let a(p) = 37*p**2 + 30*p - 81. Let y be a(8). Let q = y - 1499. What are the prime factors of q?
2, 257
Let t = -3300 - -6794. What are the prime factors of t?
2, 1747
List the prime factors of (1322816/14)/2 + (-18)/42.
7, 17, 397
Let y(i) = 93*i**2 - 4*i - 22. List the prime factors of y(-11).
5, 11, 41
Let v be 0*(-2)/4 - -56. Suppose 0 = v*d - 35*d - 14952. What are the prime factors of d?
2, 89
Suppose -34*h + 33*h + 2 = 0. Suppose 132 = m - y, -47 = -h*m - 2*y + 209. What are the prime factors of m?
2, 5, 13
Suppose -4*o = -4*s + 42388, 0 = 5*s - 3*o - 47645 - 5358. List the prime factors of s.
2, 5303
Suppose -24320 - 34688 = -64*y. What are the prime factors of y?
2, 461
Let f(i) = 79*i**2 + 364*i - 26. What are the prime factors of f(18)?
2, 16061
Let h(y) = 4*y**2 - 8*y + 22. Let q be h(8). What are the prime factors of -38*q/(-20) + 4/10?
11, 37
Let q = 7 + -7. Let z be (q + -8)*(-6)/12. Suppose 0 = -i + 4*y + 3 + 23, 3*i = -z*y + 14. List the prime factors of i.
2, 5
Let q(v) = v**3 - 26*v**2 - 90. Let g be q(26). Let x = g - -294. List the prime factors of x.
2, 3, 17
Suppose -405*d + 382*d + 176157 = 0. What are the prime factors of d?
3, 23, 37
Suppose 2*p = -4*h - 12, -8 - 8 = 4*h. Let z be 23 + 0 - (1 - p). Suppose -z = -2*d + 14. List the prime factors of d.
19
Let m(k) = 493*k**2 + 135*k + 24. What are the prime factors of m(5)?
2, 11, 37
Let h(z) = -4314*z - 5401. What are the prime factors of h(-6)?
20483
Let k(v) be the third derivative of v**6/120 - 11*v**5/30 - 19*v**4/12 - 23*v**3/6 - 24*v**2. What are the prime factors of k(24)?
7, 31
Let h = -36514 - -87068. List the prime factors of h.
2, 7, 23, 157
Let q(d) = -1138*d + 1017. List the prime factors of q(-31).
5, 7, 17, 61
Suppose 0 = -5*d - 2*h + 26, -3*d + 4*h - 8 = -2*d. Let a be 5 - (-23*d)/4. What are the prime factors of 6/(-21) + (-8)/a*-561?
2, 5
Let a(w) = -13*w**3 - w**2 + 4*w + 6. Let q be a(5). Let j = -1145 - q. Let r = -281 + j. What are the prime factors of r?
2, 3, 11
Let m = 25 + -24. List the prime factors of -9*m*2603/(-57).
3, 137
Suppose 85 = -161*s + 144*s. Let h(m) = 0 - 1 + 3*m + m + m**2. What are the prime factors of h(s)?
2
Let n be ((-4)/(-30))/(39/585). Let v be -7*1*(-20)/14. List the prime factors of 148 + 0*(v/4 - n).
2, 37
Let a(j) = j**3 - j**2 - j - 1. Let s be a(2). Let v = s + -3. List the prime factors of (-1712)/(-24) - v/3.
2, 3
Let p be 1*172*(-6)/(-8). Let g = -24 + 27. Suppose -2*o + o = -g*x - 21, -5*o + 3*x = -p. What are the prime factors of o?
3
Let j = -1146 + -989. Let v = -881 - j. List the prime factors of v.
2, 3, 11, 19
Let u be (-2 + -1 + 6)/((-30)/(-75830)). Suppose u = -4*k - 8037. List the prime factors of (-1)/3*1 - k/33.
2, 59
Let u(i) = -5*i**3 + 79 + 240*i + 4*i**3 - 216*i + 21*i**2. List the prime factors of u(22).
3, 41
Suppose -26487 = -29*t + 2484. What are the prime factors of t?
3, 37
Suppose 0 = -19*y + 17*y - 4. Let v(x) = -5*x**2 - 5*x - 7. Let a be v(y). Let r(b) = -12*b - 20. List the prime factors of r(a).
2, 23
Suppose 4*v - 5*y + 46 + 159 = 0, -15 = 5*y. List the prime factors of -1 - (v + 5 + -3).
2, 13
Let k be 42 + 0 + 0 + (9 - 6). Let j = -45 + k. Let b(h) = -h**3 + h**2 + 136. List the prime factors of b(j).
2, 17
Let y = 5079 + 7249. What are the prime factors of y?
2, 23, 67
Suppose -5*p - 5*k + 0*k + 45 = 0, 12 = 4*p - 2*k. Suppose -15*o = -20*o + p. Let a(u) = 89*u**3 - 2*u**2 - u + 1. What are the prime factors of a(o)?
3, 29
Suppose 2*i = 4, 2368 + 185 = 5*s + 4*i. Let x = 1081 - s. What are the prime factors of x?
2, 11, 13
Let i(c) = 3*c**2 - 20*c - 645. List the prime factors of i(-57).
2, 3, 569
Let i(t) = 2*t**3 + 2*t**2 + t + 1. Let g be i(-3). Let f = g - -42. Suppose 2*y + 4*z = 7*y - 245, 0 = -f*y + 2*z + 196. List the prime factors of y.
7
Let f(d) = -d + 30. Let l be f(24). Let k be (-3 - -2) + (3 - l) + 8. Suppose 0*t - k*t = -2*h + 226, -5*h = -t - 610. List the prime factors of h.
3, 41
Let v = 590 - 587. Suppose -v*g + 1224 = 4*o - 2380, 3*o - 2724 = 3*g. List the prime factors of o.
2, 113
Let t(v) = 9*v**2 - 2*v + 15. Let k(d) = 8*d + 116. Let g be k(-15). List the prime factors of t(g).
167
Let d(o) = 134*o**2 - 7*o - 2. Let b be d(-1). Let h = 30 + b. List the prime factors of h.
13
Suppose 141 = t + 7*p - 5*p, -5*t + p + 749 = 0. Suppose r - 2*n = 2*n + 87, -2*r + 4*n = -158. Let z = t - r. List the prime factors of z.
2, 3, 13
Suppose -714*t + 61926378 = 20764278. List the prime factors of t.
2, 5, 1153
What are the prime factors of (0 - (0 - 82474/4))*(-3880)/(-6790)?
2, 43, 137
Let j(b) = 14*b - 78. Let d be j(7). Let z = d + 18. What are the prime factors of z?
2, 19
Let d be ((-1140)/8)/15*-406. Suppose 5*f - 1123 = d. What are the prime factors of f?
2, 3, 83
Let l(j) = -5*j**2 - j + 1. Let c(h) = -6*h**2 - h + 1. Let b(p) = 4*c(p) - 5*l(p). Let z be b(0). List the prime factors of (z/(-1))/(-1 - -2) - -16.
17
Let k = 253 - 150. Let m(g) = -70*g**2 + g + 1. Let c be m(-1). Let r = k + c. List the prime factors of r.
3, 11
Let k(a) = 102*a - 53. Let i be k(-8). Let f = -97 - i. What are the prime factors of f?
2, 193
Suppose 67*r = 66*r + 8. Suppose r*m - 310 = -46. List the prime factors of m.
3, 11
Let t(g) = 12*g - 6. Let f = 3 + 1. Suppose 52 - f = 8*n. What are the prime factors of t(n)?
2, 3, 11
Let c(r) be the second derivative of -r**5/20 - 31*r**4/12 + 13*r**3/3 + 22*r**2 - 4*r - 29. List the prime factors of c(-32).
2, 59
Let f be 5/((-90)/4) - (-72226)/126. Let d be 24/(-4) + 4 + f - 2. Let i = d - 404. List the prime factors of i.
3, 5, 11
Let j(s) = 53*s**2 - 3. Let n(f) = f**3 - 9*f**2 - 10*f + 3. Let z be n(10). What are the prime factors of j(z)?
2
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - -1. Sort m, v, c in decreasing order.
c, m, v
Let y = 28.56 + -28. Let n be (-3)/((-59)/236 - (-4 + (-12)/(-4))). Put 0.5, 3/5, n, y in increasing order.
n, 0.5, y, 3/5
Suppose -2 + 5 = -3*g. Let b = 5.001 - 4.001. Put b, -1/3, -1.1, g in descending order.
b, -1/3, g, -1.1
Let q = 5/7533 - 23399/1205280. Put q, -1, 2, 1/5, -2 in increasing order.
-2, -1, q, 1/5, 2
Suppose l = -4*l + 10. Let d(n) = -2*n**2 + 61*n + 314. Let y be d(35). Sort y, -3, l, 0 in ascending order.
-3, y, 0, l
Let j(n) = 204*n + 5727. Let p be j(-28). Put -2.7, -2/7, p in decreasing order.
p, -2/7, -2.7
Suppose -20 = f - 5*v, -2*f - 4*v = -3*f - 18. Let g be -6*5/f + -1. Put -1, 3, g, -4 in decreasing order.
3, g, -1, -4
Suppose -4*j + 0*v + 26 = -5*v, -5*v - 10 = 0. Let z be (-22)/j - 4/(-3 + 2). Sort z, 2, -0.04, 0.5 in descending order.
2, 0.5, -0.04, z
Let r be ((-272)/(-20))/(3/90). Let l = 412 - r. Sort 1, 13, l, -3.
-3, 1, l, 13
Suppose -x + 4*b = 22, -4*b - 2 = x + 12. Suppose -t + 4*v + 16 = 3*t, -4*v = -t + 16. Sort -3, 1, x, t in ascending order.
x, -3, t, 1
Suppose -159 = 3*w - 6*w. Suppose c + 62 - w = 0. Let o be ((-5)/(-3))/((-3)/9). Sort c, 2, o.
c, o, 2
Suppose 0 = -v - 0*v + a + 2, -5*a = -4*v + 7. Suppose 3*y = -v, -3*d + 5*y - 8 = 5. Put -5, d, -2 in descending order.
-2, -5, d
Suppose -4*r - 2 = 14. Let z = -3 - r. Suppose -77*j + 75*j + x + 30 = 0, 4*x + 30 = 2*j. Put z, 0.1, 2, j in descending order.
j, 2, z, 0.1
Let i = -2105 - -2127.13. Let s = i - -0.87. Let d = -19 + s. Sort d, -1.1, 5 in descending order.
5, d, -1.1
Suppose 0 = 59*m - 51*m - 200. Sort m, -4, 0, -3 in descending order.
m, 0, -3, -4
Let h be ((-36)/16)/(-9)*(32/14)/((-17)/(-119)). Let d(m) be the first derivative of m**3/3 - 3*m**2/2 - m - 1. Let w be d(2). Put w, 12, h in increasing order.
w, h, 12
Suppose -2*s + 5*s = 0. Let f(o) = o**3 - 3*o**2 - 11*o - 1. Let x be 86/18 + 40/180. Let h be f(x). Put -5, 5, h, s in ascending order.
h, -5, s, 5
Let i be -6 - (2/(-4) - 15/6). Let b be (-4 - i)/(3/(-6)). Let r be 15/5*1 + 1. Put b, r, -4 in increasing order.
-4, b, r
Let i = -125.9 + 92. Let v = i + 34. Let k = 0.8 + -1. Sort v, k, -5/2.
-5/2, k, v
Let l = 70/3 - 212/9. Let k be 6498/(-684) - (-10 - 1). Put 11, l, k, -0.1 in descending order.
11, k, -0.1, l
Let g = -173 - -175. Let c = 64.09 - 63. Let z = -0.09 + c. Sort -0.04, z, g.
-0.04, z, g
Suppose -16*n + 1160 = 13*n. Let i be (-1)/(-6)*n/50. Let m be (-2)/(-44)*16/4. Sort 0.4, m, i in ascending order.
i, m, 0.4
Suppose 0 = -m + 303 + 689. Suppose 0 = 4*k + 3*b - 5*b + m, 5*k - b + 1234 = 0. Let d be (-3 - k/78) + (-10)/(-104). Put d, -4/11, 0.2 in ascending order.
-4/11, 0.2, d
Let j = -12846 - -12947. Sort j, 6, 5, 0.1 in descending order.
j, 6, 5, 0.1
Suppose -f + 866 = 3*n + 227, 0 = 5*n + 4*f - 1072. Let x = n + -217. Put -13, x, -3 in decreasing order.
-3, x, -13
Let r = -0.01005 + 1.01005. Sort r, -1/2, 280, -2 in decreasing order.
280, r, -1/2, -2
Let z(u) = -3*u**2 - 65*u - 42. Let g be z(-21). Suppose -7*i = -14*i - 21. Put g, i, 26 in ascending order.
i, g, 26
Let i(s) = -14*s**2 + 1443*s - 99. Let g be i(103). Sort g, 5708, 1 in increasing order.
1, g, 5708
Let h = -1215 - -1304. Put 0, -3, h, -5 in decreasing order.
h, 0, -3, -5
Suppose -5*o + 11 = 4*q, q + q + 14 = 4*o. Suppose 2*a + 114 = 3*p, 3*a = -0*a - 9. Suppose p*u + 74 = -u. Sort 0, o, u, 4 in increasing order.
u, 0, o, 4
Let v = 1.28 + -0.28. Suppose -15*j + 112 = -19*j. Let m be j/(-70) - (-33)/(-20). Sort m, -3, v.
-3, m, v
Let k = -40051 + 40053. Let x = 0.25 - -0.05. Sort x, -19/2, -3, k in decreasing order.
k, x, -3, -19/2
Let n = -592.1 + 643. Let m = 52.9 - n. Sort m, 3, -39, -1/4 in decreasing order.
3, m, -1/4, -39
Let b = -6267 + 6323. Put 3/4, 0, b in decreasing order.
b, 3/4, 0
Let y = 0.03 - -177.97. Let i = y - 176.2. Let r = -157/1128 - -2/141. Put r, -2/13, i in descending order.
i, r, -2/13
Let f be 6/9 + (-694)/(-3). Suppose -4*l = 2*s - 0*s - f, 0 = -3*l + 6. Let n be (-1)/(-2)*64/s. Sort -2/7, 0.2, n in decreasing order.
n, 0.2, -2/7
Let q be (-11 - (2 + 1))*(-1)/(-2). Let k(t) = -5*t - 35. Let c be k(q). Sort c, 2, -14 in descending order.
2, c, -14
Let d be -14 + (-846)/(-45) + -5. Sort -16, d, 12 in decreasing order.
12, d, -16
Let h be (-2)/(-5) + (-13)/(-5). Let y(b) = -b**2 - 9*b - 10. Let g be y(-8). Let j = -2175 - -2179. Sort 0, h, g, j in decreasing order.
j, h, 0, g
Let n be ((-193)/(-965))/((-4)/(-12) - 2/60). Sort -4, n, 0.03, 2/7 in descending order.
n, 2/7, 0.03, -4
Let n = -1188 - -1190. Suppose -a - 1 = -0*a. Sort -4, 5, n, a.
-4, a, n, 5
Let i(o) = 6*o + 30. Let a be i(-5). Suppose -5*k + 10*k - 25 = a. Suppose 5*m + 6 = -k*j - 4, 0 = 2*j - 6. Sort 3, 0, m, 1 in increasing order.
m, 0, 1, 3
Let y(j) = j**3 - 4*j + 10*j + 0 + 5 + j - 8*j**2. Let z be y(7). Let a be (9/135)/((-1)/(-15)). Put 3, z, a in descending order.
z, 3, a
Let a = 1.2 + -1. Let v = -26 + 24.9. Let c = 0.0217 - 1.0217. Sort v, c, a.
v, c, a
Suppose 0 = -4*u + 2*v + 32, 3*u - 3*v = 11 + 22. Put 24, -10, u, 4 in increasing order.
-10, 4, u, 24
Let y = 27 + -26.7. Suppose 80 + 117 = -m - 5*q, -m + q - 209 = 0. Let b = -1038/5 - m. Put -2/5, b, y in decreasing order.
y, -2/5, b
Let t be 232/(-72) + (-304)/171 + (-1 - -3). Put t, -5, -296 in ascending order.
-296, -5, t
Let k(x) = x**2 - 40*x + 38. Let a be k(39). Let f(h) = 50*h + 48. Let l be f(a). Put -0.14, l, -4/5 in decreasing order.
-0.14, -4/5, l
Let p(r) = 26*r - 312. Let b be p(12). Sort -5, -80, 2, b.
-80, -5, b, 2
Let l(a) = a - 53. Suppose -2*n - 32 = 12. Let q be l(n). Let x = q - -82. Sort 3, -2, x, -4 in decreasing order.
x, 3, -2, -4
Suppose 71 + 848 = -278*x - 471. Let i = 3 + 8. Put -3, x, i in descending order.
i, -3, x
Let p = -22.51 - -22.21. Sort p, -2/13, 136 in increasing order.
p, -2/13, 136
Let g = -1153 - -1064. Sort 5, 1, g, -4 in decreasing order.
5, 1, -4, g
Let r = -135 - -140. Let f = 44 - 51. Sort r, f, 0, -2/3.
f, -2/3, 0, r
Let v be (-1 - 2)*(-1 + 0). Suppose 332*u = 333*u - 8, -5*b = 5*u - 45. Suppose 0 = 4*m - 0*m + 5*x + 9, -4 = 4*x. Sort v, m, b.
m, b, v
Let c be (10 - (-57)/(-6))*(-2)/((-3)/(-3)). Put c, -4, 68, 3 in increasing order.
-4, c, 3, 68
Suppose -639*y + 9372 = -285*y - 321*y. Put -1, 4, 3, y in increasing order.
-1, 3, 4, y
Let b = 497.13 + -495. Let g = -10.77 - b. Sort g, 4, -5.
g, -5, 4
Let u = -6204 - -6209. Sort 2, -81, u in ascending order.
-81, 2, u
Let p = -1.46 - -4.12. Let h = 2.36 - p. Let a = 4 + -3. Put -0.8, a, h, -4 in decreasing order.
a, h, -0.8, -4
Let o = 20 + -5. Let s = o - 14.7. Let v = -1084 + 1088. Put 0.5, v, s, 3 in decreasing order.
v, 3, 0.5, s
Let d be 110/(8 + -19) - -8. Sort d, -9, 31, 5.
-9, d, 5, 31
Let o = 3.02 - 0.02. Let v = -78869/13 + 6067. Sort v, o, 4, 0.1 in descending order.
4, o, v, 0.1
Let t be 11/12 + 3/(-12). Let i be 15/30 + 2/(-6). Let d = 5.073 - 13.073. Put t, d, i in descending order.
t, i, d
Suppose 0 = 5*g - 3*t + 5, 3*g + 5*t = 7*t - 3. Let s be (-8 - -2 - -7)*(4 - g). Put -2, 1/8, 2/5, s in increasing order.
-2, 1/8, 2/5, s
Let u = 262.9 - 262.9. Sort -0.4, 0.1, 4/3, u in increasing order.
-0.4, u, 0.1, 4/3
Let r = 7020/19 + -63218/171. Put -0.46, -4, 2/5, r, 1/6 in decreasing order.
2/5, 1/6, r, -0.46, -4
Let m = -3.16 + 4.7. Let p = m - -1.46. Let q = -39 + 38.6. Put 0.3, q, p in descending order.
p, 0.3, q
Let y be 2/(-10)*(-1 - 2). Let r = -2039 - -3056. Let h = r - 1016. Sort y, -4, -1, h.
-4, -1, y, h
Let j = -194 + 190. Let r = 225 + -261. Put j, r, -0.5 in descending order.
-0.5, j, r
Let z = 0.02 - 0.92. Let h be 2/14 - (-30)/(-14) - 1615/(-969). Let g = -127/3 - -41. Put -4, g, z, h in ascending order.
-4, g, z, h
Let w = 3.7 + -2.1. Let j = w - 0.56. Let f = -0.74 + j. Sort f, 1, 6, -1 in descending order.
6, 1, f, -1
Let j(t) = -t - 14. Let o be j(8). Suppose 0 = b + b - i + 8, 5*i - 19 = 3*b. Let p = -2 - -2. Put p, b, o in ascending order.
o, b, p
Let r be -18 - (31 + -12 + -36). Put -2, 17, -4, 1, r in decreasing order.
17, 1, r, -2, -4
Let g = -924 + 747. Let u = g - -155. Let b = -1 - -1. Sort 1/4, -5, b, u.
u, -5, b, 1/4
Let k = -476 + 476.04. Let v = -0.09 + 0.25. Let b = v + 0.04. Sort b, k, -2 in decreasing order.
b, k, -2
Suppose 58*h - 45*h = 195. Sort -2, 4, h in
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 867*s - 1170 = 0 for s.
-39, -3, 1, 10
Suppose y**3/3 + 250076*y**2/3 + 250075*y/3 = 0. What is y?
-250075, -1, 0
Factor 2*s**2 + 4802*s + 156288.
2*(s + 33)*(s + 2368)
Factor -2*o**3/9 - 2282*o**2/9 - 654350*o/9 - 647522/3.
-2*(o + 3)*(o + 569)**2/9
Suppose -4*i**4 + 2468*i**3 + 4984*i**2 - 19808*i = 0. What is i?
-4, 0, 2, 619
Determine a so that -a**5 - 248*a**4 - 734*a**3 + 248*a**2 + 735*a = 0.
-245, -3, -1, 0, 1
Let 12*j**3/5 + 50666*j**2/5 + 53484296*j/5 + 8912642/5 = 0. What is j?
-2111, -1/6
Find x, given that -10*x**3/3 + 8924*x**2/3 + 4766*x + 1788 = 0.
-1, -3/5, 894
Let 4*l**2/7 - 768704*l + 258521304832 = 0. Calculate l.
672616
Solve 5*p**2 + 9800*p + 19580 = 0.
-1958, -2
Suppose -t**5/2 + 73*t**4/2 + 941*t**3/2 - 7701*t**2/2 - 60804*t - 161352 = 0. Calculate t.
-9, -4, 12, 83
Suppose 2*b**2/17 + 3618*b/17 + 64476/17 = 0. What is b?
-1791, -18
Let -3*c**5 - 7515*c**4 - 89781*c**3 - 82269*c**2 = 0. Calculate c.
-2493, -11, -1, 0
Solve -3*i**2 + 3912*i - 364509 = 0.
101, 1203
Suppose -38*u**3/9 - 23518*u**2/9 + 49672*u/9 - 552 = 0. Calculate u.
-621, 2/19, 2
Factor -3*u**3/4 + 249999*u**2/2 + 1500075*u + 4500306.
-3*(u - 166678)*(u + 6)**2/4
Factor -h**3/7 - 1454*h**2/7 + 16115*h/7.
-h*(h - 11)*(h + 1465)/7
Determine o, given that 4*o**3 + 12796*o**2 + 10252768*o + 30643248 = 0.
-1598, -3
Factor 3*f**2 + 4551*f.
3*f*(f + 1517)
Factor -19*v**3/3 + 2626*v**2/3 - 30337*v + 6348.
-(v - 69)**2*(19*v - 4)/3
Suppose -22*t**2 + 1720*t - 312 = 0. Calculate t.
2/11, 78
Factor -2*i**2/3 - 20552*i/3 - 6850.
-2*(i + 1)*(i + 10275)/3
Find u, given that u**5 - 18*u**4 - 67*u**3 + 84*u**2 = 0.
-4, 0, 1, 21
Suppose 4*o**5/9 - 928*o**4/9 - 2216*o**3/3 - 10496*o**2/9 - 4780*o/9 = 0. Calculate o.
-5, -1, 0, 239
Factor -2*q**4 - 32*q**3 + 446*q**2 + 4004*q.
-2*q*(q - 13)*(q + 7)*(q + 22)
Factor y**4/6 + 21*y**3/2 - 329*y**2/3 - 120*y.
y*(y - 10)*(y + 1)*(y + 72)/6
Determine u so that u**4/3 - 304046*u**3/9 + 506737*u**2/9 - 202694*u/9 = 0.
0, 2/3, 1, 101347
Determine p, given that 5*p**5 + 680*p**4 + 30465*p**3 + 491490*p**2 + 2298780*p + 1837080 = 0.
-54, -21, -6, -1
Factor -2*t**3/5 + 171986*t**2/5.
-2*t**2*(t - 85993)/5
Solve 4*g**5/13 - 454*g**4/13 + 12742*g**3/13 + 9474*g**2/13 - 85842*g/13 + 38988/13 = 0 for g.
-3, 1/2, 2, 57
Find i such that 2*i**4/5 - 93*i**3/5 + 296*i**2/5 + 219*i/5 - 172/5 = 0.
-1, 1/2, 4, 43
Factor -x**3 - 33585*x**2 - 282139128*x - 2536532496.
-(x + 9)*(x + 16788)**2
Factor -2*m**4/21 - 12440*m**3/21 - 19269416*m**2/21 + 77526080*m/7 - 233026944/7.
-2*(m - 6)**2*(m + 3116)**2/21
Factor 4*w**2 + 4712*w + 4708.
4*(w + 1)*(w + 1177)
Find z, given that -z**5 + 449*z**4 - 51069*z**3 + 150079*z**2 - 99458*z = 0.
0, 1, 2, 223
Find i such that -2*i**3 - 1534*i**2 - 317822*i - 8889474 = 0.
-367, -33
What is c in 5*c**5 + 120*c**4 + 570*c**3 - 2080*c**2 - 2535*c = 0?
-13, -1, 0, 3
Factor -57*b**2/2 - 119185*b/2 + 2091.
-(b + 2091)*(57*b - 2)/2
Determine w so that 20*w**4 + 11445*w**3 - 148775*w**2 + 233835*w - 96525 = 0.
-585, 3/4, 1, 11
What is k in -3*k**5 + 4614*k**4 + 51126*k**3 - 13836*k**2 - 162579*k - 102234 = 0?
-11, -1, 2, 1549
Find p such that p**3 - 727*p**2 + 5767*p - 10785 = 0.
3, 5, 719
Factor -4*w**3 - 520*w**2 - 6252*w - 19656.
-4*(w + 6)*(w + 7)*(w + 117)
Find k, given that 5*k**5 - 267*k**4 - 5424*k**3 - 26648*k**2 - 26256*k + 15120 = 0.
-9, -6, -2, 2/5, 70
Determine o, given that o**2/6 + 1051*o/3 - 701/2 = 0.
-2103, 1
Factor -3645810045*k**2 + 14041560*k - 13520.
-5*(27003*k - 52)**2
Solve 18*k**4 - 1554*k**3 + 7081*k**2/2 - 1051*k + 84 = 0.
1/6, 2, 84
Find j, given that -j**2 - 18192*j - 18191 = 0.
-18191, -1
Factor 3*t**4 + 5448*t**3 - 32772*t**2 + 43728*t.
3*t*(t - 4)*(t - 2)*(t + 1822)
Factor 5*t**2 - 1716560*t + 147328911680.
5*(t - 171656)**2
Suppose 42*q**4/5 + 537646*q**3/5 + 1720908804*q**2/5 + 376842240*q + 32768000 = 0. Calculate q.
-6400, -1, -2/21
Factor -v**2/11 - 3090*v/11 + 6184/11.
-(v - 2)*(v + 3092)/11
Let -98*i**5/5 - 6202*i**4 + 48908*i**3/5 - 20344*i**2/5 + 2544*i/5 = 0. Calculate i.
-318, 0, 2/7, 1
Factor 2*i**2/5 - 1006*i/5 + 15876.
2*(i - 405)*(i - 98)/5
Find a, given that -2*a**3/11 + 658*a**2/11 - 8188*a/11 - 8848/11 = 0.
-1, 14, 316
Determine g, given that g**4/2 - 461*g**3/2 + 2259*g**2 - 1772*g - 14432 = 0.
-2, 4, 8, 451
Suppose 2*g**3/5 - 34*g**2/5 + 184*g/5 - 64 = 0. Calculate g.
4, 5, 8
Factor 5*g**4 + 200*g**3 + 985*g**2 - 1190*g.
5*g*(g - 1)*(g + 7)*(g + 34)
Let 2*c**2/3 - 49276*c = 0. What is c?
0, 73914
Solve -5*n**3 + 345*n**2 + 725*n - 1065 = 0.
-3, 1, 71
Factor 5115975*k**2/8 + 255795*k - 3/2.
3*(5*k + 2)*(341065*k - 2)/8
Find z such that 5*z**5/4 + 105*z**4/2 + 380*z**3 + 555*z**2/2 - 1525*z/4 - 330 = 0.
-33, -8, -1, 1
Factor -t**5 - 523*t**4 - 11143*t**3 - 60621*t**2.
-t**2*(t + 11)**2*(t + 501)
Let -2*f**4/9 - 32*f**3/9 + 98*f**2/9 + 968*f/9 - 680/3 = 0. Calculate f.
-17, -6, 2, 5
Suppose -4*i**4/7 - 161792*i**3/7 - 69336*i**2 - 485344*i/7 - 161780/7 = 0. What is i?
-40445, -1
Determine n, given that 84*n**5 + 2354*n**4/3 + 4250*n**3/3 + 240*n**2 - 872*n/3 - 224/3 = 0.
-7, -2, -1/2, -2/7, 4/9
What is t in -5*t**4 + 1615*t**3 - 150815*t**2 + 3174465*t - 3025260 = 0?
1, 28, 147
Factor 3*d**2 - 5706*d - 298809.
3*(d - 1953)*(d + 51)
Determine z so that -4*z**5 - 1676*z**4 + 6792*z**3 + 10136*z**2 - 6788*z - 8460 = 0.
-423, -1, 1, 5
Factor 8*a**3 + 1052516*a**2 + 34618698448*a + 17309086096.
4*(a + 65782)**2*(2*a + 1)
Let 20*n**5 + 305*n**4 - 3495*n**3 - 12115*n**2 - 12625*n - 4290 = 0. What is n?
-22, -1, 39/4
Find m such that 2*m**2 - 3280*m/3 - 6584/3 = 0.
-2, 1646/3
Let -5*u**2 - 88850*u - 394716125 = 0. What is u?
-8885
Factor -2*v**2/15 - 4032*v/5 - 24184/15.
-2*(v + 2)*(v + 6046)/15
Determine d, given that d**2 + 588*d + 47232 = 0.
-492, -96
Factor -2*u**3/7 + 179556*u**2/7.
-2*u**2*(u - 89778)/7
Solve -4*t**2 - 257392*t - 4140665104 = 0 for t.
-32174
Factor -3*x**2 + 2380644*x.
-3*x*(x - 793548)
Factor 5*j**2 + 41420*j - 2209305.
5*(j - 53)*(j + 8337)
Find c, given that -4*c**4/9 - 1668*c**3 - 5000*c**2 + 16*c/9 + 20000/3 = 0.
-3750, -2, 1
Suppose 4*n**2 - 52028*n = 0. Calculate n.
0, 13007
Find u, given that -2*u**3/7 - 6*u**2/7 + 146*u/7 + 90 = 0.
-7, -5, 9
Factor s**3/4 - 173*s**2/4 - 705*s/4 - 531/4.
(s - 177)*(s + 1)*(s + 3)/4
Let 3*m**2/5 - 2418*m/5 - 2421/5 = 0. What is m?
-1, 807
Factor -3*d**3 + 213015*d**2 + 12*d - 852060.
-3*(d - 71005)*(d - 2)*(d + 2)
Factor 5*w**4/7 + 227*w**3/7 + 520*w**2/7 + 172*w/7.
w*(w + 2)*(w + 43)*(5*w + 2)/7
Let h**2/6 + 290*h/3 + 2288/3 = 0. Calculate h.
-572, -8
Let v**4/6 + 3799*v**3/2 + 22783*v**2/6 - 26587*v/2 + 22790/3 = 0. Calculate v.
-11395, -4, 1
Find k, given that 30*k**3 - 97018*k**2/11 - 393948*k/11 - 2384/11 = 0.
-4, -1/165, 298
Determine v so that -2*v**3/5 + 1514*v**2/5 - 51982*v - 2059530 = 0.
-33, 395
Factor -2*j**2/15 - 38*j/15 + 6768.
-2*(j - 216)*(j + 235)/15
Factor 5*w**2 + 836530*w + 34989122045.
5*(w + 83653)**2
Factor -3*m**5/2 + 12681*m**4/2 + 38079*m**3 + 76182*m**2 + 50796*m.
-3*m*(m - 4233)*(m + 2)**3/2
Factor -v**3/9 - 1060*v**2/9 + 10739*v/9 + 13910/3.
-(v - 13)*(v + 3)*(v + 1070)/9
Let 3*y**3 - 21*y**2 - 15924*y + 396480 = 0. Calculate y.
-80, 28, 59
Determine x, given that x**2 - 7662*x + 84161 = 0.
11, 7651
Let 55*j**5/2 - 281*j**4/2 + 249*j**3/2 - 19*j**2/2 - 2*j = 0. What is j?
-1/11, 0, 1/5, 1, 4
Solve -5*v**5 - 180*v**4 + 510*v**3 + 10900*v**2 - 41625*v = 0.
-37, -9, 0, 5
Factor -4*d**2 + 15736*d - 15732.
-4*(d - 3933)*(d - 1)
Factor -4*s**3 - 70072*s**2 - 308207360*s - 11610915200.
-4*(s + 38)*(s + 8740)**2
Suppose -4*i**5 + 5972*i**4 + 11956*i**3 + 5980*i**2 = 0. What is i?
-1, 0, 1495
Factor 4*u**2 - 362092*u + 362088.
4*(u - 90522)*(u - 1)
Factor -2*s**3 + 276*s**2 - 7654*s + 31620.
-2*(s - 102)*(s - 31)*(s - 5)
Factor -3*c**2 + 50676*c - 50673.
-3*(c - 16891)*(c - 1)
Factor 2*l**4/11 + 58986*l**3/11 - 117980*l**2/11.
2*l**2*(l - 2)*(l + 29495)/11
Suppose -f**4 - 614*f**3 - 114745*f**2 - 5898900*f = 0. What is f?
-265, -84, 0
Factor 4*p**3/3 - 968*p**2/3 + 18860*p + 80688.
4*(p - 123)**2*(p + 4)/3
Find n, given that 9*n**4/8 + 33*n**3/8 - 9*n**2/2 - 33*n/2 = 0.
-11/3, -2, 0, 2
Determine l, given that -2*l**3 - 386*l**2 + 35496*l = 0.
-261, 0, 68
Factor -3*i**3 + 4710*i**2 - 949539*i
|
{
"pile_set_name": "DM Mathematics"
}
|
0003
Suppose 0 = -5*r - d + 8, -3*r + 5*d = 2*r - 20. Let j = -8 + 8. Suppose j*f = -r*f + 1200000. What is f rounded to the nearest 100000?
600000
Let o(y) = -5*y - 27. Let w be o(-6). Let l be ((-25994)/2 - w)*(-1 - 0). Round l to the nearest one thousand.
13000
Let m = -0.05500033 + 0.055. What is m rounded to seven dps?
-0.0000003
Let w be ((-6)/9)/(33/(-42570000)). Round w to the nearest 1000000.
1000000
Let p be (-1748)/(-8) + (-6)/(-4). Let a be (-9)/((-9)/p) - 2. Let s be (a/6 - 3)*60. Round s to the nearest ten thousand.
0
Let u = -1.2 + 33.2. Let r = u + -31.999938. Round r to 5 dps.
0.00006
Let o = 150 - 295. Let w = o - -145.00000161. Round w to 7 decimal places.
0.0000016
Let v = -9.2138 - -0.0938. Round v to one dp.
-9.1
Suppose -103*t + 967070 = -90*t. Round t to the nearest ten thousand.
70000
Let c(f) = -124*f + 92. Let x be c(18). Round x to the nearest one hundred.
-2100
Let f = 5331.99988434 + -5332. What is f rounded to six dps?
-0.000116
Let f = -10 - -22. Suppose 30*n = 26*n - f. Let d be n + 2 + 370001*1. What is d rounded to the nearest 100000?
400000
Let n = 4714636.6 + -4714617.600003. Let z = n + -19. What is z rounded to five dps?
0
Let a(k) be the third derivative of 29*k**4/24 + k**3/6 - 10*k**2. Let c be a(6). Let y be c*(20002 - 8/4). Round y to the nearest 1000000.
4000000
Let u be 2/(-3) + 9 + 66205/(-3). Round u to the nearest ten thousand.
-20000
Let g be 16/20 + (-3486)/70. Round g to the nearest ten.
-50
Let f = 9548 + -5238. What is f rounded to the nearest 1000?
4000
Let b(h) = -2*h - 8. Let v be b(-5). Let q be 25454816/(v/(-1)) + 2. Let w = q + 18227406. What is w rounded to the nearest one million?
6000000
Suppose 8*h + y = 11*h - 12886, 0 = 2*h + y - 8594. Round h to the nearest 100.
4300
Let d = -9198.0017164 - -9198. What is d rounded to four decimal places?
-0.0017
Let g = -48.000336 + 48. Round g to 4 dps.
-0.0003
Let d = -1789 - -1789.000001816. Round d to six decimal places.
0.000002
Let d = 202.9999653 + -203. What is d rounded to five dps?
-0.00003
Let l = -308 - -290.3. Let m = l + 17.6999613. What is m rounded to six decimal places?
-0.000039
Let r = 0.476 + -0.6. Let v = -13.076 + r. Round v to the nearest integer.
-13
Suppose 226*y = 221*y - 9050. What is y rounded to the nearest one hundred?
-1800
Let i = 998 - 1025.48. Round i to the nearest integer.
-27
Let z = -650.0219848 + 649.692. Let j = z + 0.33. Round j to six dps.
0.000015
Let v be 1 + -6 + 368525/5. Round v to the nearest 1000.
74000
Let d(j) = 9*j**2 + 1 + 2 + 13*j - 2*j**3 - 17*j. Let y be d(4). Suppose y*r + 322896 = -22104. What is r rounded to the nearest ten thousand?
-120000
Let q = -1339 - -9. What is q rounded to the nearest one thousand?
-1000
Let t be (-4)/6 + (-117)/27. Let k(j) = 139999*j**2 - 6*j - 5. Let g be k(t). Round g to the nearest one million.
4000000
Let k be (-44)/8 + 2/(-4). Let t be (1 - 9)*36/12. Let z be k/(-8) - (-5112018)/t. Round z to the nearest ten thousand.
-210000
Let s = 49.84 - -0.16. Let r = s + -49.51. Let f = r - 0.48939. What is f rounded to four dps?
0.0006
Let b = 1151434 + -1151434.2000066. Let t = 0.2 + b. Round t to 6 decimal places.
-0.000007
Let q = 3027.99998144 + -3028. What is q rounded to 5 dps?
-0.00002
Let p = -12.49 + -40.81. What is p rounded to the nearest 10?
-50
Suppose 4*s = 2*s + 4. Suppose -11*u = -u - 3130. Let g be u + (s/2 - 4). What is g rounded to the nearest 100?
300
Let u = -1546268.796479 + 1546270. Let a = -1.203 + u. What is a rounded to 4 dps?
0.0005
Suppose -2*n = v - 1, 3 + 9 = -n - 3*v. Let p be (-1672)/(14/5 - n). What is p rounded to the nearest one thousand?
8000
Let g be (1 + 1)/(4/6). Suppose g*i - 2696545 = 492686. Let d = 6063077 - i. What is d rounded to the nearest 1000000?
5000000
Let l = -0.3 - -0.2. Let b = -0.05 - l. Let u = -0.1 + b. What is u rounded to two dps?
-0.05
Let x = -242.39997174 - -242.4. What is x rounded to six decimal places?
0.000028
Let p = -2.1 - -2.44. Let m = p - 59.34. Let w = m - -55.7. Round w to zero dps.
-3
Let t = 37447792.20000075 - 37447788. Let l = t - 4.2. Round l to seven dps.
0.0000008
Let b = 92.8 - 75.12. Let r = -2.38 + b. What is r rounded to the nearest integer?
15
Let x be 0 - 10/(-6)*3. Suppose l = 2 + x. Let t = -3 + l. What is t rounded to the nearest ten?
0
Suppose -5*n = -4*v + 103370, 2*n + 48586 = -4*v + 7266. Round n to the nearest one thousand.
-21000
Let s = -481 - -481.000000273. Round s to 7 dps.
0.0000003
Let m = 391337 - 391337.940036. Let h = m - -0.94. Round h to 4 dps.
0
Let r = 177 - 176.94024. Round r to 2 dps.
0.06
Let g = 104.65932 + -6.66562. Let w = g - 98. What is w rounded to three dps?
-0.006
Let s = 8.9438 - 9. Round s to 3 decimal places.
-0.056
Let v = -10539.48 - -10539.3700114. Let d = -0.11 - v. Round d to five decimal places.
-0.00001
Suppose -2*o - 2*o = -32. Let m be (14781/6)/(4/o). Suppose -m = 4*j - 927. Round j to the nearest 1000.
-1000
Suppose -5*f + 469364 - 75854 = -2*c, -5 = c. Round f to the nearest one thousand.
79000
Let r = 156 + -159.66. Let v = r - -4.6. Let s = v + -0.939951. What is s rounded to five decimal places?
0.00005
Let w = -20 + 19.997. Let y = w - -8.203. Let l = 0.8 - y. Round l to the nearest integer.
-7
Let b(y) = 11015*y - 36013*y - 117 + 113. Let j be b(2). Round j to the nearest one hundred thousand.
-100000
Let v(c) = c**2 + 2*c - 1. Let k be v(-3). Let a be (-3)/(-6)*k + -621. What is a rounded to the nearest 100?
-600
Let q = 179607 - 179615.1219. Let w = q + -8.8764. Let s = w - -17. Round s to four decimal places.
0.0017
Let v = -0.0561 + 0.053932. Round v to four dps.
-0.0022
Suppose 0 = 2*a - 323106 - 662732. Let u be a - (-3)/(6/4). Let z = u + -302921. What is z rounded to the nearest one hundred thousand?
200000
Let x = 25 - 21. Suppose 512 = 5*f + u + 14463, -4*u - x = 0. What is f rounded to the nearest one hundred?
-2800
Let z = 1575 - 2375. Let a be ((-123)/(-12) + -2)*z. Round a to the nearest 1000.
-7000
Suppose -5*r - r + 12 = 0. Suppose -r*a + a = -52200. What is a rounded to the nearest one thousand?
52000
Let g = -0.6 + 10.6. Let d = g - 38. Let a = -27.999996 - d. What is a rounded to 6 decimal places?
0.000004
Let w = -4935000 + 4935000.53681244. Let r = -9.23680304 + w. Let t = r - -8.7. What is t rounded to six decimal places?
0.000009
Let a = 9.74001423 - 9.74. Round a to six dps.
0.000014
Let y = 28.76417 + 3387.90983. Let n = y - 3412.574038. Let m = n + -4.1. Round m to five decimal places.
-0.00004
Let w = -0.156 + 481.156. Let q = w - 481.000291. What is q rounded to five decimal places?
-0.00029
Let k = 0.467703 - -18.537597. Let t = k + -19. Round t to three dps.
0.005
Suppose 2*c + 3*c - 5 = 5*n, 0 = c + 2*n + 2. Suppose x - 2 - 2 = c. Suppose 2*p - x*p = 22000. What is p rounded to the nearest 10000?
-10000
Suppose 2*t = 7*t. Suppose -w = -t*w + 1203. Let p be w/(-6)*2 + -1. Round p to the nearest 100.
400
Let l = -292.689 - 0.311. Let j = l + 293.000237. Round j to four dps.
0.0002
Let u = -16.89929 + 16.89. What is u rounded to 3 decimal places?
-0.009
Let p be 14/2 - 2/1. Suppose -p*s = -5*x - 95, 3 - 56 = 2*x + s. Round x to the nearest integer.
-24
Let v(i) = -271*i**2 - 11*i + 162. Let s be v(16). Round s to the nearest 10000.
-70000
Let w = -5484 + 5742.3. Round w to the nearest one hundred.
300
Let n = -0.01 - 0.0111. What is n rounded to 2 dps?
-0.02
Let z = -6.76968 + 9.6702. Let c = 0.034 - 2.934. Let k = z + c. Round k to four decimal places.
0.0005
Let h = -1780 + 1779.9999995078. Round h to 7 dps.
-0.0000005
Let d = -2.13792 - -0.1308. Let x = -2 - d. Round x to 3 decimal places.
0.007
Let c(n) be the first derivative of -103334*n**3 + 4*n**2 - 6*n + 20. Let g be c(3). Round g to the nearest one hundred thousand.
-2800000
Let m = 15.26 - 16. Let l = m - -0.743. Round l to three decimal places.
0.003
Let p be ((-10)/3)/((-6)/9). Let o(k) = -171150*k - 6. Let y be o(-3). Suppose 0 = p*b + 158444 - y. What is b rounded to the nearest 10000?
70000
Suppose 613*c + 924 = 616*c. Round c to the nearest 10.
310
Let a(f) = -f + 73000. Let p(h) = h**2 + 9*h - 7. Let s be p(-10). Suppose -6*z = -s*z. Let b be a(z). What is b rounded to the nearest 10000?
70000
Let y = 82.748 + 1.352. What is y
|
{
"pile_set_name": "DM Mathematics"
}
|
(-14)) and g.
180
Let t be ((-4)/(-2))/(-8) - 1431/(-108). Let m = 29 - t. Calculate the lowest common multiple of (-2)/(-1*2/22) and m.
176
Let m(x) = 2*x + 36. Let z be m(-26). What is the lowest common multiple of 9 and 0*(-4)/z + 4?
36
Calculate the least common multiple of 10554 and 2*2/38 - 8*(-151)/76.
84432
Let f = -21/389897 - -11733817/7924266628. Find the common denominator of 143/12 and f.
60972
Let b be ((-3)/27*3)/((-1)/3). Suppose -1 = -2*t + b, 2*t = 4*f - 6. What is the smallest common multiple of 64 and f?
64
Let y = 1554 + -7734/5. Let i = -282573/5 - -282544/5. What is the common denominator of i and y?
5
Suppose 2*q - 7 = 2*v + 3*q, -3*q - 9 = 0. Let n(l) = -l**3 + 4*l + 4. Let p = 23/62 + 1079/434. Find the common denominator of n(v) and p.
7
Suppose -2*h = 4, h - 43 = 2*l - 5*l. Suppose o - 102 = l. Let x = o + -115. Calculate the smallest common multiple of 5 and x.
10
Suppose 0 = 99*u - 106*u + 4410. Calculate the least common multiple of 630 and u.
630
Let i = 131/30 + 2/15. Let c = -1224308/30155 + 3/6031. Let a = -1649/40 - c. What is the common denominator of a and i?
8
Find the common denominator of -89/8 and (-30)/(-195)*-13 + (-2343)/(-1220).
2440
Let j = -17210 + 17738. Calculate the least common multiple of 8 and j.
528
Suppose -x - t + 98 = -6*t, -4*x + 4*t = -360. Let z = 124 - x. Let u = z - 25. What is the lowest common multiple of u and 8?
88
Suppose -28*q = -24*q - 20. Suppose -q*l = 5*g - 55, 2*g - l + 5 - 18 = 0. What is the least common multiple of 26 and g?
104
What is the common denominator of 7/(-1652)*(3/3 + (-25)/(-3)) and -3/8?
1416
Let w(d) = -152*d**3 - 2*d**2 - 2*d. Let k be w(-3). Let o = k - 131027/32. What is the common denominator of -7 - ((-14)/(-56))/(4/(-177)) and o?
32
Let g = -1378205/56559132 + -2/224441. Find the common denominator of g and -79/70.
8820
Suppose 16*q + 20 = 11*q. Let l(g) = -5*g - 5. Let n be l(q). What is the common denominator of (-29)/(-18) - (n - 20) and 121/12?
36
Let j = -42457/140220 + 13/1558. What is the common denominator of j and -187/60?
180
Suppose 22*f - 44 = 23*f. Let y = f - -49. Suppose 0 = -4*d + w + 187, 0*w + 235 = y*d - w. What is the common denominator of d and -67/2?
2
Let x = 4/1887 + 66013/15096. Find the common denominator of x and -103/1298.
5192
Let w be ((-1)/2)/(-6 + (-115)/(-20)). Let u be (w + -259)/(-9 + 8). Let z = 6157/24 - u. Calculate the common denominator of -7/5 and z.
120
Suppose -14*a - 1409 = -17*a + x, a - 4*x = 488. Calculate the lowest common multiple of 1170 and a.
2340
Let u = 564 - 555. Suppose u*m = 28*m - 1235. Calculate the smallest common multiple of 52 and m.
260
Suppose 8*v = 5295 + 1201. Calculate the common denominator of (((-12)/(-32))/(-1))/((-35)/v) and -39/20.
20
Let o = -32475443/470084610 + 3/377578. What is the common denominator of o and -29/18?
7470
Let t(v) = 6*v**2 + 53*v + 3. Let a be t(-13). Suppose 10*s - 72 = a. What is the least common multiple of 40 and s?
40
Let d(h) = -2*h**3 - 31*h**2 - 29*h + 2. Let i(o) = -o**2 + o + 38. Suppose 4*p = x, x - 2*p = -p. What is the smallest common multiple of d(-1) and i(x)?
38
Let j = 48 - 30. Let q = -193 + 207. Calculate the least common multiple of j and q.
126
Let g = 3932 - 3652. What is the lowest common multiple of g and 120?
840
What is the common denominator of -5/12 and 0 + 6 - 2945/1710?
36
Let j(p) = 2*p**2 - 51*p + 644. Calculate the smallest common multiple of 32 and j(16).
2720
Let n = -184963/2 + 96180657/1040. Find the common denominator of n and -11/312.
3120
Let o = -9563/18 - -527. Calculate the common denominator of 121/12 and o.
36
Let o = -4426813/6045 + 9520/13. What is the common denominator of o and -79/1240?
3720
Let f = 1206489/212 - 5691. Find the common denominator of -21/106 and f.
212
Suppose -28 = 4*v, -47*r + 44*r + 111 = -3*v. What is the lowest common multiple of 4200 and r?
4200
Let n = -1999 + 2001. Let g be ((-26)/(-6) - 1)*3. Let v = -4 + g. Calculate the least common multiple of v and n.
6
Let k = 2595317002 + -809738110963/312. Let g = k - 15269/6. What is the common denominator of 2/39 and g?
312
Let q(k) = 42*k**2 + 23*k - 26. Let b be q(-13). Let u be b/(-26)*(-1166)/26. Let w = -11684 + u. Find the common denominator of -61/2 and w.
26
Let r = 128 + -218. Let f be (-123)/(-1554)*r/(-8). Let d = f - 4/259. What is the common denominator of -53/10 and d?
40
Let t = 427 + -514. Let p = -81 - t. Calculate the least common multiple of 252 and p.
252
Suppose -4073 = 4*i + 4*u - 16197, 0 = -5*u + 25. Let s = i - 45373/15. Find the common denominator of s and -19/54.
270
Suppose -33*h = -489 - 10203. What is the smallest common multiple of h and 2970?
17820
Let c(k) = k**3 - 20*k**2 + 43*k - 98. What is the least common multiple of 39 and c(18)?
1092
Suppose 0 = -7*w - 0*w + 70. Let f(y) = -5*y + 8. Let h(b) = b**2 + 11*b - 126. Let q be h(-18). What is the lowest common multiple of w and f(q)?
40
Find the common denominator of (1256/(-360) - (-8)/(-20))*40/300 and -109/7482.
67338
Let k = 1714 + -27499/16. Calculate the common denominator of k and (-330)/(-280) + -1 + 1.
112
Let r = 20415 - 40771/2. What is the common denominator of 51/90*2/8 and r?
120
What is the smallest common multiple of 6 and 4/(20/(-152)*(-1 - (-42)/90))?
114
Find the common denominator of (-2 - 955/(-50))*3/(-9) and (-296)/50*10/(-12).
30
What is the least common multiple of 0 + 2814 - (54 + -68 - (3 + -13)) and 5?
14090
Let m(x) = -x**2 + 5*x + 92. Calculate the least common multiple of 136 and m(8).
136
Let u be -10*(165/22)/((-6)/8). What is the lowest common multiple of 45 and (0 + 7)*(-2 - u/(-35))?
90
What is the common denominator of -169/840 and 2144/(-192) - (-5 + 6)?
840
Let p(l) be the first derivative of l**4/4 + 8*l**3/3 + 7*l**2 + 11*l + 3. Let g be p(-6). Calculate the lowest common multiple of (1/g)/(1/(-27)) and 24.
216
Let i = 292 - -744. Suppose -2*z - 4*d - 528 = -4*z, -4*z + i = -3*d. What is the least common multiple of z and 4?
256
Let b = -2765921/10768310 - 1/190029. Find the common denominator of b and 58/9.
1530
What is the common denominator of 1/231 and (-4)/(-22) - (261792/(-48972))/(-27)?
12243
Let w = 113127 + -113121. Let r = 47 + -11. Calculate the least common multiple of r and w.
36
Let t(p) = -p - 16. Let y be t(-24). Suppose 2*k + 5*l = -18, -y*l = 2*k - 5*l + 14. Calculate the common denominator of -1 + (-196)/(-32) + k and 37/5.
40
Find the common denominator of 6 - (981/66)/(3537/1425) and 95/18.
25938
Suppose -60 = -2*z + 2*d, -3*d + 105 = 4*z - 2*d. Let x = -18 - -18. Suppose x = z*a - 25*a - 4. What is the smallest common multiple of 14 and a?
14
Let j = -496/7 - -23983/336. Calculate the common denominator of -27/4192 and j.
12576
What is the smallest common multiple of 4100 and (-10 + 15)/((-3)/(-240))?
16400
Suppose -4*m + 9*m - 144 = -2*s, m = 4*s - 310. Let h = s - 111. Let o = h - -55. Calculate the least common multiple of 18 and o.
126
Let z(n) be the third derivative of 29*n**4/24 + 121*n**3/2 - 300*n**2. What is the smallest common multiple of z(-9) and 99?
3366
Let k = 24/1801 + 217345/43224. What is the common denominator of (50/80*280/50)/(-178) and k?
2136
Let k be (2/(-3))/((-8)/24). Suppose -k*j - 4*s = -26, 4*j + 3*s = -8 + 35. Let f(n) = -n**3 + 9*n + 12. What is the lowest common multiple of f(0) and j?
12
Suppose 20 = 5*b, -3*b - 48 = 5*m - 210. Suppose w - m + 0 = 0. Let n = -58 + 91. Calculate the smallest common multiple of w and n.
330
Let s = 293 + -224. Suppose 3*a = s - 42. Calculate the lowest common multiple of 8 and a.
72
Suppose 30*l - 35 = 23*l. Suppose 3*w = -5*g + 96, -4*g + 65 = -w - l. Calculate the smallest common multiple of 6 and g.
18
Let r = -9574961/112 - -85490. Let j = -5/17 + 403/272. Find the common denominator of j and r.
112
Suppose 32*v + 82*v - 14364 = 0. What is the smallest common multiple of (2 + 26)/(-4 + 3 - -2) and v?
252
Let n = -2062 + 1269. Let u = n + 1505. Find the common denominator of (6/(-40))/(4 + (-2860)/u) and -151/30.
30
Suppose 14*z - 16*z + 4*n + 48 = 0, -z + 3*n = -22. Suppose -4*t = -92 - 84. What is the smallest common multiple of z and t?
308
Suppose -5*u + 76 = -4*d + 10, -4 = d. Let l = -33 + u. Let g = 43 + l. What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
third smallest value in f, i, g?
f
Let u = 6 + -5. Let i be (4 + -3)*u/(-2). Let h = -221/14 + 31/2. Which is the smallest value? (a) i (b) -3/5 (c) h
b
Let c be 236/(-4)*(-1)/(-280). Let p = c - 3/40. Let f = -0.6 - -0.3. What is the second smallest value in f, p, -0.2?
p
Let v = 14 + -10. Which is the smallest value? (a) 1 (b) 0 (c) v
b
Let p = 41/18 + -5/2. Suppose 7*w - 2*w - 20 = 0. Let z be w/(-6)*(-3)/(-11). Which is the second smallest value? (a) p (b) 0.5 (c) z
c
Suppose 5*p - 14 = -4. Let i be ((-1)/p)/(2/4). Suppose 5*t - 20 = -0*t - 4*w, -20 = -5*t - 5*w. Which is the biggest value? (a) 5 (b) i (c) t
a
Let x = -62 - -62.61. Let y = x + -0.21. Let g = -137/12 + 43/4. Which is the second smallest value? (a) g (b) 0.3 (c) y
b
Let p = 299/5 + -60. Let a = 17 - 16.7. What is the smallest value in a, p, 3?
p
Let j(i) = i**2 - 5*i + 4. Let z = 2 + 3. Let r be j(z). Let f be (r/(-21))/((-2)/3). What is the smallest value in 1/11, -5, f?
-5
Suppose 2*n = 1 + 11. Let t be (-20)/135*n/(-4). What is the second biggest value in 1, t, 0.4?
0.4
Let y be (-4)/(-14) - (-64)/(-126). Suppose 0 = -5*m + 10 - 5. What is the third smallest value in y, 5, m?
5
Let f(p) = -p**3 - 3*p**2 - 2*p + 2. Let j be f(-2). Suppose -7*q = -2*v - 2*q - 15, -3*v - j*q - 13 = 0. What is the biggest value in 1/11, v, -2?
1/11
Let q = -39 + 38.8. Let n = -0.1 + 0.2. Let w = q - n. What is the third biggest value in -1, -0.1, w?
-1
Let t = 0 - -0.5. Let r = t + -0.9. Suppose 0*y - y + 4*l - 17 = 0, 3*y = -3*l + 9. Which is the third biggest value? (a) 0 (b) y (c) r
b
Let g = 3 - 6. Let r = g + 3.2. Let k = -7 - -7.5. Which is the third smallest value? (a) r (b) -4 (c) k
c
Let l = 1.2 - 1. Let k = -5.05 + 0.05. Let f = -0.4 - -0.4. Which is the second smallest value? (a) k (b) f (c) l
b
Let n = 8.4 + -1.4. Let s = 11 - n. Let j = -1 - -1.06. What is the smallest value in s, 1/2, j?
j
Suppose 0 = -4*c + c - p + 65, 0 = 2*c - 2*p - 30. Let q be ((-6)/195)/((-4)/c). What is the second biggest value in q, -7, 0.1?
0.1
Let m = -39 - -35. Which is the second smallest value? (a) 0.4 (b) m (c) 1/7
c
Let f be (-156)/(-91)*14/4. What is the second biggest value in -3, f, -5?
-3
Let y = -0.08 - -1.08. Which is the second biggest value? (a) -0.4 (b) -3 (c) y
a
Let u(y) = y**2 - 4*y - 1. Let m be u(5). Suppose 2*g + m = 3*g. Suppose -i - 15 = 4*i. Which is the biggest value? (a) i (b) g (c) 0.5
b
Let k = -53.98 + 54. What is the third biggest value in 3/5, k, 1?
k
Let j be 2/(-6)*(-9)/21. Let y = -5.29 - -0.24. Let v = -0.05 - y. Which is the second smallest value? (a) v (b) -3/7 (c) j
c
Let b = -34 - -38. Let m be (0 + 2)*1*-2. What is the third biggest value in b, 2, m?
m
Suppose 25 = k + 5*u, 4 = 4*k + 2*u - 6. Which is the biggest value? (a) -5 (b) 3/7 (c) k
b
Let r = 21 + -33. Let y = 17 + r. Which is the second biggest value? (a) -3 (b) -0.5 (c) y
b
Suppose 6 = -5*g - 4. Which is the second smallest value? (a) 1 (b) 0 (c) g
b
Let t = -21.036 - -0.036. Let q = t + 21.5. Which is the second smallest value? (a) q (b) 2/7 (c) -2
b
Suppose 9 = -4*k + 1. Let v = 0.34 + -0.24. What is the second smallest value in k, 1, v?
v
Let v = -0.5 - -0.5. Let b = 132/13 + -10. What is the second biggest value in v, -4, b?
v
Let p(j) = j**3 + 2*j**2 - 3*j + 3. Let x be p(-3). Let m(v) = 2*v - x*v + v + 7 + v. Let r be m(-11). What is the second smallest value in r, -1, -1/2?
-1
Let v(j) = -10*j. Let x be v(-2). Suppose -7*q = -3*q - x. Let l = -0.7 + -2.3. What is the biggest value in 1, q, l?
q
Let h = 0.1 + -0.2. Let w = h - -1.1. Let m be ((-19)/114)/(2/4). Which is the biggest value? (a) -0.5 (b) w (c) m
b
Let r = 0.4 + 0. Let h = 43.1 - 43. What is the third smallest value in r, 7, h?
7
Let j(x) = -x**3 + 6*x**2 + 8*x. Let v be j(7). Which is the second smallest value? (a) -0.3 (b) v (c) 0.4 (d) -1/6
d
Let o = -2 + 5. Let w = -7 + 6.6. Which is the second smallest value? (a) o (b) 5 (c) w
a
Let w = -57.8 - -58. Let j = -3.8 + 5. Let p = j + -0.2. What is the second biggest value in -2/3, w, p?
w
Let j(k) = k**3 - 4*k**2 + k + 5. Let n be j(4). Suppose n = -4*g - 3, 2*s + g + 9 = 0. Which is the second biggest value? (a) 0.2 (b) -3/5 (c) s
b
Let w = -28.9 - -25. Let u = -1.1 + w. What is the third biggest value in -2/3, u, -2/5?
u
Let w = 72 - 1221/17. Let l = w + 5/68. Let b(n) = 2*n - 18. Let d be b(11). What is the second smallest value in d, l, 0.2?
l
Let m = -6 - 3. Let x = m - -6. Which is the second smallest value? (a) -0.2 (b) -0.4 (c) x
b
Let t be 2*(15/(-9) - -1). Suppose 0 = -3*a - 0*a - 540. Let m = -3058/17 - a. What is the third biggest value in t, 0, m?
t
Let l = -1.01 + 1.51. What is the second biggest value in 2, -1/5, l, 5/6?
5/6
Suppose -4*h + 5*v - 7 = 0, -4*h - 2*v + 13 = -1. Suppose c - 5*n = -n - 17, -3*c - h*n + 19 = 0. Let o = 64/21 - 10/3. What is the smallest value in o, c, -2?
-2
Let i = 11/2 + -65/14. What is the third biggest value in -1, 2/9, i, 5/6?
2/9
Let k = -3908/17 - -230. What is the fourth smallest value in 1/8, -0.4, k, -0.1?
1/8
Let v = 2.9 + 0.1. Let h = v - 1. Let u = -0.3 + 0.5. Which is the biggest value? (a) u (b) 1 (c) h
c
Let u = -67/2 - -101/3. Let r = -4 - -3.5. Which is the smallest value? (a) u (b) r (c) -0.3
b
Let i = -5.47 + -9.11. Let f = i - -15. Let w = f + -0.02. Which is the biggest value? (a) 5 (b) -0.3 (c) w
a
Let n = -4 + 3.4. Let u = -0.6 - n. What is the second biggest value in 5, u, 0.2?
0.2
Let w = -0.4 + 0.2. Suppose 4*f + 15 = 9*f. Let x = 3 - 1. Which is the biggest value? (a) w (b) x (c) f
c
Let o = 10.32 - 0.32. Which is the smallest value? (a) -3 (b) o (c) -1/5
a
Let w = 69 + -68.6. Which is the third smallest value? (a) 5 (b) 0.3 (c) w (d) 0.01
c
Let p = 2 - 6. Let t be (69/14 - 5)*-2. What is the third biggest value in p, 1/4, t?
p
Let n = -0.13 - -0.57. Let z = n + -0.4. Let s = -4.96 - z. Which is the biggest value? (a) -2 (b) s (c) 1
c
Let s be (2/3)/(20/6). Let f = 312 + -308. Which is the third biggest value? (a) f (b) s (c) 3
b
Let l = -1 + 7. Which is the biggest value? (a) 5 (b) 1/8 (c) 0.1 (d) l
d
Suppose 0 = 3*d - 5*x, 2*x + 21 = 3*d + 4*x. Which is the third biggest value? (a) -6 (b) d (c) -0.4
a
Let m = 4/7 + -46/105. Suppose -4*z - 1 = -3*u + 1, -3*u - 16 = 5*z. Let r be (-1)/2*z/10. What is the third biggest value in m, -2, r?
-2
Let h = -235/2403 + 12/89. Let x = 79/54 + h. Let p = 2 + -2.4. What is the second smallest value in -2/3, x, p?
p
Let c be (-91)/28 - (-2 + -1). What is the third smallest value in c, 3/4, 0?
3/4
Let t be 118/360 + (-1)/2. Let g = 1/20 - t. Let x = -2.3 + 2.4. What is the third smallest value in x, 0.5, g?
0.5
Let p(g) = -3*g**2 + 3*g - 4. Let d be p(-3). Let k = d - -119/3. Which is the biggest value? (a) k (b) -0.2 (c) 2
c
Let y = 27/38 + -4/19. Let a = 2 - 2.3. What is the third smallest value in y, 1/4, a?
y
Let v be 0 + 2/13 + 1340/(-260). What is the third smallest value in v, 4, 0.2?
4
Let h = -2.314 - -0.014. Let l = h - -4.3. What is the second biggest value in l, -2, -0.08?
-0.08
Let r = -1/28 - 25/84. What is the second biggest value in -2/9, r, 5?
-2/9
Let d = 12 + -6. Let w(f) = -f + 8. Let t be w(5). Suppose 0 = -q - 4, t*s - 10 = q + d. Which is the third smallest value? (a) -0.2 (b) s (c) 3
b
Suppose 17*z = 47 + 4. Let f = -17 - -50/3. Which is the second biggest value? (a) z (b) 2/9 (c) f
b
Suppose 0*k + 4 = 4*k. Let a = -0.04 + -1.96. What is the second smallest value in k, 1/5, a?
1/5
Let i be 4/(-6) + 55/60. Which is the third biggest value? (a) 0.2 (b) -8 (c) i
b
Let k = 2.7 + -3.2. Which is the third biggest value? (a) -0.1 (b) 2/7 (c) k
c
Suppose -3*s + 19 = 5*c, 4*c = -s + 4 + 14. What is the smallest value in 1, s, -0.2, -7?
-7
Let p = -9 + 23. Let z = p + -12. Which is the third smallest value? (a) -2/7 (b) z (c) -3/2
b
Let i = -0.13 + -0.37. Let w be -1 + 69/21 + -2. What is the second smallest value in i, w, 1/6?
1/6
Let l = -0.18 + -1.92. Let p = -2 - l. Let c = -23/42 + 3/14. What is the third biggest value in c, 0.3, p?
c
Let x = -2.1 - -3. Let c = -0.91 + x. Let y = -4.99 + c. What is the second biggest value in 1/8, -3/5, y?
-3/5
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest to d? (a) -4/3 (b) h (c) -0.4
c
Let o be (3 - 1)/(4 + -2). Let z(u) = u**3 - 2*u**2 - u - 2. Let k be z(3). Let n be 4/(-190)*(-9 + k). Which is the nearest to 0.1? (a) o (b) -3 (c) n
c
Let q be ((-1)/(-2))/(6/(-12)). Let k = 159/52 - 30/13. What is the nearest to q in k, -2/23, 3?
-2/23
Let o(t) = t**3 + 2*t**2 - 3*t + 1. Let r be o(-3). Let c = -130 + 1948/15. What is the closest to 0.1 in r, -0.3, c?
c
Let w = 9 + -9.4. Which is the closest to -2? (a) -2 (b) -5 (c) w
a
Let l(w) = 2*w**2 + 11*w - 7. Let x be l(-6). What is the nearest to -0.3 in 1/2, 1/3, x?
1/3
Let x = 36 + -41. What is the closest to 0.2 in x, -2/11, 8?
-2/11
Let h = -9 + 7. Let o = 2/9 + 5/18. What is the nearest to -2/3 in 1, h, o?
o
Suppose 4*j + 12 = -0*j. Let o = 75 - 76. Which is the closest to -1? (a) -2 (b) j (c) o
c
Let u = -2.8 + 3.1. Which is the nearest to 1/2? (a) u (b) -0.2 (c) 3
a
Let k = -3 - -9. Let g(y) = -y**2 + 7*y - 3. Let h be g(k). Let l = 1360/7 - 194. Which is the closest to -2? (a) l (b) h (c) 5
a
Let f = 160/3 - 53. What is the closest to 2 in f, 1, -2/7?
1
Let x = 49.1 - 49. What is the nearest to -1/2 in 0, -2/5, x?
-2/5
Let x = 0.199 - -0.001. Let a be 2/7 - (-17)/(-35). What is the closest to -1 in x, a, -0.1?
a
Suppose i + 13 = 2*h + 4*i, -3*h - 3 = -3*i. Which is the nearest to h? (a) 2/9 (b) -5 (c) -2
a
Suppose -3*i + 2*c + 41 = -4, 5*c = -15. Suppose i = -2*g + 7. What is the nearest to -1/4 in 4, 1/7, g?
1/7
Let s = -10 + 9.5. Which is the nearest to 1/4? (a) 0 (b) s (c) -0.1
a
Let i = 1.3 + -1. Let v = -0.01 - -0.16. Let g = v + 0.05. What is the closest to i in 2, g, -2/5?
g
Let n = -8038801/88638 + 43/4029. Let a = -181/2 - n. What is the closest to 0 in a, 1, -0.2?
a
Let w = 40 + -41. Let s = 78720 + -7871937/100. Let h = -3/25 - s. Which is the closest to 0.1? (a) w (b) h (c) -5
b
Let v = 3.61 + -0.51. Let g = 0.1 - v. Which is the nearest to 0? (a) g (b) -4 (c) 2
c
Let m = 0.9 + 4.1. Let b = 1.5 - -0.5. Let z = b - 2.4. What is the closest to 0 in m, 2, z?
z
Let i = 0.9 - -0.1. Let o = 17 + -11. Let v = o + -5. What is the closest to v in 4, 5/2, i?
i
Let d = 1.2 - 0.2. Let h = -1.5 + d. Let l = -11/12 + 2/3. Which is the closest to l? (a) 2/11 (b) h (c) 1
b
Let g = 346 - 346. Let w = 575/14 + -81/2. Which is the nearest to 2? (a) 1/7 (b) g (c) w
c
Let z = -55.4 - -55. Which is the closest to 1? (a) 1/10 (b) -3/8 (c) z
a
Let z be (-6)/12 - (-1)/(-2). Which is the closest to 0.1? (a) -0.08 (b) -4 (c) z
a
Let d = 0.14 - 0.13. What is the closest to 2/3 in 4, 5, d?
d
Let w = 590 + -584.89. Let i = w - 0.11. What is the nearest to 1 in -1, -2/13, i?
-2/13
Let j = 19 + -19. Let h = j + -3. Which is the nearest to -2? (a) 4 (b) h (c) 1/5
b
Let j(v) = 1 - v**2 - v**2 + v**2 + 6*v. Let t be j(6). Which is the nearest to t? (a) -0.5 (b) -5 (c) 5
a
Let b = -1 - -0.8. What is the closest to b in -2/11, -5, 1?
-2/11
Let b = 12.5 + -8.5. What is the nearest to 0 in 3, 0.1, b?
0.1
Let g = 1.37 - 0.07. Let t = g - 0.3. Let z = t - 4. What is the closest to 0 in z, -5, -2?
-2
Let m = -0.27 - 1.33. What is the closest to -1/2 in 2, m, 2/7?
2/7
Let m be ((-6)/(-27))/(4/(-12) - -1). Which is the closest to m? (a) -2/3 (b) 0 (c) 5
b
Let l = -31.2 - -35. Let g = -11 - -7. Let o = l + g. Which is the nearest to -1/4? (a) 2 (b) o (c) 3
b
Let t(r) be the first derivative of -r**3/3 + 2*r**2 + 3*r + 3. Let h be t(5). Which is the closest to h? (a) -5 (b) 2 (c) 0.1
c
Let i = -8.3 + 9. Let g = -0.3 - i. Let n be 0/2 - 2/5. What is the nearest to 0 in -0.1, n, g?
-0.1
Let m be -1*2/(-6) + 4/24. Let d = 0 - 0. Let i = 2/565 + -1711/4520. Which is the closest to m? (a) i (b) d (c) 2/17
c
Let x = 3.3 - 4. Let g = -0.4 - x. Which is the nearest to -1/4? (a) 1 (b) g (c) -1
b
Let y be (5/((-225)/12))/((-5)/15). What is the nearest to 1 in 2, 0.4, y?
y
Let h = 3.1 + -3.06. Let m = -0.46 + 0.6. Let z = m - h. Which is the nearest to z? (a) -2 (b) 0 (c) -1/3
b
Let q = -23/312 + -2/39. Let p = -3 - -2.9. What is the nearest to p in q, -0.4, 1/4?
q
Let q = -1.5 + 2.5. Which is the nearest to q? (a) 1 (b) -1/20 (c) -2/7
a
Let o = -0.13 + 5.13. Let d = -0.7 - -0.6. What is the closest to 1 in o, -2, d?
d
Suppose 2*c + 5 + 5 = 0. Suppose k - 1 - 5 = -3*d, 2*k - 2 = -d. What is the closest to 2 in c, d, 3?
d
Suppose 9 = 3*y, 11 = g + 3*g + 5*y. Let i = -2 + 8. Suppose 0 = 3*h - i*h. Which is the closest to -0.1? (a) g (b) h (c) 3
b
Let l = -938/13 - -72. Let q = 71 - 71.2. What is the closest to -1/2 in 2/5, l, q?
q
Let n = 3 - 1.9. Let l = -0.9 - n. What is the nearest to l in 5, 0.1, 4/3?
0.1
Let z = -262 + 263. Suppose 3*m = -u + 3, -u - 15 = -6*u + 2*m. Which is the nearest to z? (a) 5 (b) -2 (c) u
c
Suppose -4*n + 3*n = -2. Let g be 0 - 13/(-6) - n. Which is the closest to 0? (a) 0.3 (b) -0.2 (c) g
c
Let o = 185/8 - 23. What is the closest to -1/2 in o, -0.03, -1/4?
-1/4
Let f be -3 - (-191)/72 - 2/(-9). Which is the closest to 3? (a) f (b) 0 (c) 1/6
c
Suppose 5*t + q = 3 - 13, -3*q - 19 = 4*t. What is the closest to -0.1 in -0.4, 1, t?
-0.4
Let t = 75/4 - 19. What is the nearest to 0.2 in 3/5, 1/2, t?
1/2
Let m be -10*9/18 + (-4)/(-1). Which is the nearest to m? (a) 4 (b) -0.5 (c) 0.3
b
Let t = -46.8 - -47. What is the nearest to 2 in 0.12, 0.3, t?
0.3
Let a = -129 - -128.6. Let c = 2 - 7. Let d = -5.3 - c. What is the closest to -0.1 in a, -4, d?
d
Let v be (-2)/6 - 16/(-3). Let k(m) = -m**2 + 4*m + 3. Let d be k(v). Which is the nearest to 2? (a) -1/5 (b) d (c) 0.1
c
Let j = -190 + 189. Which is the closest to -0.1? (a) -0.3 (b) j (c) 0.3
a
Let s be (2 + 0)*(-1)/(-1). Let q = -2 - 3.1. Let p = -5 - q. Which is the nearest to p? (a) s (b) 1 (c) -1/5
c
Let t be -2 - (-1)/(-3)*-3. What is the closest to 1/7 in -3, -2/3, t?
-2/3
Let j = 0.1 + -0.5. Let u be 39/63 + 4/(-12). Which is the nearest to u? (a) 4 (b) -1/2 (c) j
c
Let y = -1.54 + 1.04. What is the nearest to 2/9 in y, 4, -6/7?
y
Let f = -3 - -3.4. Which is the nearest to 1/5? (a) 2/15 (b) -3 (c) f
a
Let c = -0.16 + -0.14. Let t = -9/10 + 2/5. What is the nearest to c in t, 4, -5?
t
Let m be ((-3)/(-21))/((-24)/(-28)). Which is the nearest to 2/13? (a) 1 (b) m (c) 0.5
b
Let p = -14 - -14. What is the nearest to 1 in 3, p, 6/11?
6/11
Suppose l - 13 + 4 = -4*r, -2*l = 5*r - 9. Which is the nearest to -28? (a) r (b) -2 (c) -3
c
Let n be (2 - -11) + -3 + 2. Let z = -11 + n. Let o = 6 - z. Which is the nearest to -0.2? (a) 0.1 (b) o (c) 1
a
Let q = -0.035 - -5.035. What is the nearest to 0 in 0.6, 1, q?
0.6
Let g = 107 + -114.7. Let j = -8 - g. What is the closest to 1/3 in -1, -5, j?
j
Let n = 0.8 - 3.8. Let j = 0.6 + 3.4. Let h = j + n. Which is the nearest to h? (a) -0.3 (b) 0.4 (c) -3
b
Let s = 30 + -30.2. Which is the closest to 11/3? (a) -1/12 (b) 0.5 (c) s
b
Let i = -1.5 - -1. Let n = 0.6 - 0.4. Which is the closest to 0.3? (a) 0.3 (b) n (c) i
a
Let x be (-15*4/(-6))/(-2). Let k = -3.2 - -3. Suppose 4*v - 3*o + 5*o + 8 = 0, -v = 4*o + 16. What is the nearest to v in k, 0, x?
0
Suppose 0 = -6*f + 11*f - 25. Let k be 3/(-10)*10/(-12). Which is the closest to k? (a) -5 (b) f (c) -2/3
c
Let i be 7/15 - 8/12. Let a = -3143/2 + 1539. Let k = a - -32. What is the closest to 0 in i, k, 2/5?
i
Let z = 0.13 + 1.47. Let n = 1.4 + z. Let u = -3 - -1. Which is the nearest to -0.1? (a) u (b) n (c) -1/6
c
Let d = -0.009 + 0.109. Let u = -117 - -821/7. Which is the nearest to u? (a) -2/13 (b) d (c) -1/5
b
Let g = 5 + -2. Let q = -0.1 + 0.2. Suppose -20 = -4*b, 10*b + 13 = -2*c + 11*b. What is the nearest to q in c, -3, g?
g
Let v be (4/(-10))/(255/75). Which is the nearest to -1? (a) -0.3 (b) 4 (c) v
a
Let p be 2/6*(6 - -31). Let h = -13 + p. Which is the closest to 0? (a) 0.2 (b) 3/8 (c) h
a
Let s be 77/66*4/(-21). Let n = -4 + 8. Let k = n + -1. Which is the nearest to 1? (a) 0.3 (b) s (c) k
a
Let q = -0.028 + 0.328. Which is the nearest to 3? (a) q (b) -1/4 (c) -0.5
a
Let p = 7 + -7.1. What is the nearest to -2 in p, -3/4, 4?
-3/4
Let a be -4 + ((-2)/(-1) - 0). Let m = 4 + a. Suppose -2*h - 6 = -t - m, -4 = -3*h - t. What is the closest to h in -4, -0.4, 4/5?
-0.4
Let q = -0
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - 26*f**2 - f + 32. Let p be j(26). Solve -3*z - 17 = 4*x, 3*x + 2*z - 6*z - p = 0 for x.
-2
Let a = 2 - 5. Let z be 21 + -3 + a + 2. Let l be ((-2)/(-4) + 0)*(z + -9). Solve l*f = -2*n - 10, n + 0*n = -5*f - 5 for n.
-5
Suppose -2652 = 4*v - 4*a, 0 = 2*v - 0*v - a + 1323. Let g be v/24*(-8)/(-5). Let u = -41 - g. Solve 0 = -b + u*x + 19, 4*b + 3*x - 26 = 5*x for b.
4
Suppose -19*f + 72 = -61. Let k be (32/f)/8 - (-31)/7. Solve -3*q + 2 = u - 1, k*u = -15 for q.
2
Suppose -10*i + 454 = 4. Suppose 48 = -37*m + i*m. Solve 5*d + 3*p = -m, -6 = 2*d - 0*p + 3*p for d.
0
Let c be (-12 + 1184/112)/(2/(-7)). Suppose -2*s = 2*s + 3*n - 20, 3*n - 22 = -c*s. Solve -s*k + k + 2 = 5*g, 0 = -3*g + 5*k + 18 for g.
1
Let d(t) = -t**2 + 16*t + 10. Let y be d(16). Suppose -y = -5*c + 2*i, 0 = -2*c - i + 4. Solve -6 = m + c*k, k = 5*k + 4 for m.
-4
Suppose 1915*x - 1980*x + 130 = 0. Solve 3*j = r + 3, 14*r - 19*r + 36 = x*j for j.
3
Suppose -v = -2*o + 3, -51*v + 5 = 5*o - 56*v. Suppose -18 = -5*d - 8. Solve -2*a = s - a - o, -d*s - 4*a + 10 = 0 for s.
-1
Suppose -204*c - 296 = -431 - 885. Solve -17*j + c*n - 13 = -14*j, 4*n - 8 = 0 for j.
-1
Let d = 2519 + -2516. Let c be (-4 - 2/(-1))/(4/(-22)). Let a(v) = 6*v**3 - v**2 + v - 1. Let i be a(1). Solve -z = 3, -c = d*u + u + i*z for u.
1
Suppose -13 = 1229*s - 1234*s - i, 4*s - 4*i = 44. Solve -s*w = k - 7, -2*w - 5*k - 8 = -25 for w.
1
Suppose -2*c - 13 = -3*a, 0 - 3 = -a + 2*c. Let q be 3/4 + 945/420. Solve -4*z = a*s, q*z + z = 3*s for s.
0
Suppose -12*d + 15 = -7*d. Suppose 0 = -v - 4*y + 12, 0 = -3*v - 4*y - 2 + 6. Let o be (-22 + 20)/(v/6). Solve -1 = -2*x - o*m, -6*m + d*m = -3*x - 6 for x.
-1
Suppose 0 = -9*y - 13*y + 5434. Let c = 274 - y. Solve -3*h - 4*o - 11 = 0, 2*h - c = -2*h + 3*o for h.
3
Let a be -10*9/(-15)*1. Suppose 0 = a*r - r. Suppose 2*k + 5*u = 6*k - 12, -k + 3*u + 3 = 0. Solve r = -4*o + k*q - 32, 2*o = -2*o + 4*q - 36 for o.
-5
Suppose 20*n - 510 = -94*n + 12*n. Solve 5*y = -5*j, 7*y = -n*j + 6 - 8 for y.
-1
Suppose 0 = -195*o + 101*o + 95*o - 2. Solve 8 = -q - o*d, 0*q = q - 5*d - 13 for q.
-2
Let m be 8*(2/(-18))/(0 + (-7)/63). Solve -2*k + m*p - 3*p + 20 = 0, 2*k - 3*p = 12 for k.
0
Let r = 2692 + -2682. Solve -5*j = -p + r, 0*p - 10 = -5*j + 5*p for j.
-3
Suppose -3*v - 12 - 3 = 0. Let b be (6 + 3 + v)*-7. Let s be ((-16)/b)/((-2)/(-7)). Solve 5*y = s*p - 19, -5*y + 3*p = 20 + 1 for y.
-3
Suppose 2*j + 684*h - 1 = 683*h, 5*h + 10 = -5*j. Solve -2*d = 5*i - 5 - 3, j*i - 3*d + 12 = 0 for i.
0
Let t = 187 - 186. Let r be (t + -2)/(4*(-8)/288). Solve r = 4*x + o, 4*o - 6*o + 6 = 4*x for x.
3
Let z = -1902 + 1284. Let c = 620 + z. Solve 4*v + 33 = 5*a, 0 = -6*v + c*v - 5*a + 17 for v.
-2
Suppose -39*d + 1461 - 57 = 0. Solve -4*q + d = -4*n, 2*n + 15 - 7 = 0 for q.
5
Suppose 115 = 51*f - 229 - 64. Solve -3*l + 10 = f*c, -5*l + l + 3*c = 14 for l.
-2
Let r(k) = 10*k**3 - 107*k**2 + 69*k + 12. Let a be r(10). Solve -2*g - m = -4, 10 = 2*g - a*m - 0 for g.
3
Let i = -8 + -11. Let g = i + 22. Suppose 6 = g*q - 0*q. Solve 0 = q*m - k - 0 - 1, 3*m + 5 = -5*k for m.
0
Suppose 2*a + 21 = -2*x + x, 28 = -a + 3*x. Let g(p) = -p**2 - 22*p - 110. Let d be g(a). Solve -3*v - n = 0, 4*n + 1 = -4*v - d for v.
1
Let y(l) = -l**3 - 3*l**2 - 133*l + 23. Let x be y(0). Solve 0*m + 4*p - x = m, 5*m = 4*p - 35 for m.
-3
Let s be -39 + (0 + -4)*1. Let b = 12 + s. Let g = b + 37. Solve 3*q - g = 2*u + 1, q = 5 for u.
4
Suppose 4*b = 20 - 68. Let o be (45/b - -4)*(4 + 4). Solve 6 = -w - 3*w + o*r, -3*r = -5*w - 6 for w.
-3
Suppose 2*d = -2*d - 7*u, -4*d - 13*u = -14*u. Suppose -8*l + 4*l = 0. Let j = l - 0. Solve j = -q, d*b - 4 = 2*b + 2*q for b.
-2
Let z(j) = -j + 11. Let y be z(7). Let m(w) = 2*w**2 + 77*w + 730. Let v be m(-22). Solve 0 = 4*r - 3*r + 5, v*c - y*r - 24 = 0 for c.
1
Suppose 4*n = -5*x + 102 - 904, 0 = -3*n - 4*x - 601. Let o = n - -204. Solve q - o = -k - 4, 0 = -3*q + 5*k - 17 for q.
-4
Suppose -10 = -3*a + 29. Let n(o) = 5*o - 63. Let j be n(a). Let i = 2 + j. Solve -3*t = 2*u - 0*u + 4, -i*u + 5*t - 8 = 0 for u.
-2
Let p be (-1)/(4 + (-34)/8). Let h be (6/(-14))/(p/(-28)). Suppose 0 = -3*l + 4*z + 71, -z + 95 = 5*l - h*z. Solve 0*c + 5*t = 3*c + 30, t + l = -4*c for c.
-5
Let o be (-2)/(-2)*(0 + 0/(-2)). Let i be 2/4*4 - 15. Let n be 0 - i - o - 36/12. Solve -6 + 0 = 3*u, -4*l - 3*u - n = 0 for l.
-1
Let g(y) = 12*y - 60. Let x be g(5). Let o be x/(-1*(-8 + 6)). Solve 0*f - f + 5 = o, h = f - 9 for h.
-4
Let c = -135348 - -135358. Suppose -5*k + 42 = -3*k - 4*a, -k = -4*a - 29. Solve 3*l - k = 4*g, 3*g = -2 - c for l.
-1
Let h be ((-80)/60)/((-1)/21). Suppose 22*c - h*c + 24 = 0. Solve -c + 2 = -2*o, -8 = 2*i - 4*o for i.
-2
Suppose -8*g + 11 + 192 = 43. Solve 2*p = t - 5, 0 = -18*p + 23*p - 4*t + g for p.
0
Let i(h) = -h**2 + 34*h - 33. Let g be i(33). Solve g = 2*y - 5*c + 22, 4*y - 4*c + 3 = -17 for y.
-1
Suppose n - 62 = 4*s, 156 = 3*n - 5*s + 3*s. Let l = n + -48. Solve -2*d = 3*h + 11, -l*d + 0*d = -h + 7 for d.
-4
Let a = 177 + -169. Suppose g = -4*g - 2*o + a, -3*o + 12 = 5*g. Solve l = -2*x - 2, -1 = -5*x - l - g*l for x.
1
Suppose 5*x = 4*p - 23, -2*x - 382 + 378 = p. Solve h + 7 = -4*r, -p*h + 0 + 2 = 0 for r.
-2
Suppose 3*b - 5 + 4 = y, 2*b = -4*y + 24. Suppose 0 = -b*q + 477 - 449. Solve 5*d - 2*f - 1 = 0, 0 = -d + 4*f - 3 + q for d.
-1
Suppose 52*r - 51*r - 2*g - 13 = 0, -5*r = -2*g - 33. Solve 0 = 4*i + 12, 12*s - 16*s + r*i + 27 = 0 for s.
3
Let c be 36/(-450) + (-52)/(-25). Suppose 0 = 5*f - 3*d - 4, -5*f + c*d + 16 = 5*d. Let j = -5 + 8. Solve -j*t - 5 = 10, -2*r - 20 = f*t for r.
-5
Let p(w) = -57*w + 6270. Let s be p(110). Solve s = -5*q + 30, a - 3*q + 7 + 16 = 0 for a.
-5
Suppose -977*i = 2*l - 982*i - 4, 2*l + 3*i - 4 = 0. Solve 3*j - x - 16 = 0, 81*j - 13 = 78*j - l*x for j.
5
Let s = 9155 + -9155. Solve 5*l - 3*f - 6 = s, 5*l + 2*f + 4 = 3*l for l.
0
Let f be 50/(-18) - (-8)/(-36). Let d be f/(6/5)*48/60. Let h be (-4)/3*6/d. Solve k - 2*o = -4*o + 3, k - 9 = -h*o for k.
-3
Let r = 8339 + -8336. Solve r*k = 3*q + 9, 5*q - 13*k = -9*k - 11 for q.
1
Suppose 42 = 56*c - 139 - 43. Solve -4*d - 6*k + c*k = -16, -4*k - 3 = d for d.
5
Suppose -204*v = -208*v + l + 6, 4*v - 10 = -l. Solve -29 + 9 = -5*h, -4*u - v*h - 12 = 0 for u.
-5
Let p be 32/6 - (8 + 23/(-3)). Suppose -p = -m + 2*w + 31, 4*m - 89 = -3*w. Solve 12 = -3*j + 3*d, -6*j + j - m = d for j.
-5
Let i = -2509 - -2514. Solve 14 - i = 8*d - 3*a, 0 = -3*d - 5*a - 15 for d.
0
Let l = -26 - -23. Let x be 8/6 + (-8)/l. Suppose 2*t = n + n - 20, -n = -3*t - 20. Solve -u = -x*d - 17, -2*d = 2*u - n*u + 21 for d.
-3
Suppose 0*z = 2*z - 8. Let m = -8005 + 8007. Solve -3*b = -m*p + z, 2*p - 8 = 8*b - 3*b for b.
-2
Let j(t) = 3*t**2 - 8*t - 21. Let f be j(-2). Suppose -25 = 5*k, 6*g + 2 = f*g + 4*k. Solve -g = 2*u - 4*z, 5*u - z + 25 = 3*z for u.
-1
Let f = 9 - 6. Let w = 109979 + -109975. Solve 0 = f*u - 6, -4*u = w*k - 9*k - 28 for k.
-4
Let f be (2 + -5 - -3)/3 - -3. Solve 0 = -j + f, 35 = 4*z - 0*j + 5*j for z.
5
Let j(r) = -52*r - 1247. Let s be j(-24). Solve -11*m + 6*m - 2 = 2*w, w + s = 0 for m.
0
Let h(d) be the second derivative of 2*d**3/3 + 19*d**2/2 - 174*d. Let b be h(-3). Solve 2*p = -0*p - 3*i + 19, -b = -p - i for p.
2
Let z = 197091 - 197081. Suppose -4*c = -2*c. Let o(x) = 5*x**3 - 1. Let v be o(1). Solve p = -0*d + v*d + 19, c = -5*p - d - z for p.
-1
Let r be (36/(-45))/((-4)/(-30)). Let t be (-16)/(-6)*(r - 45/(-6)). Solve 4*j = -8, 0 = -t*c - j + 3*j - 12 for c.
-4
Let k = -62 + 71. Suppose -4*z - k*z + 572 = 0. Suppose 36 = 2*c - 4*n, c - 4*n = 4*c - z. Solve -3*s + 4*x = -c, -2*s + 5*x - 11 = -6*s for s.
4
Suppose 32 = -x + 3*d, 4 = x - 2*d + 31. Let y = 23 + x. Solve 3*o + 6 = 0, -y*p - 4*o - 12 = -5*p for p.
-4
Suppose 0 = -2742*g + 2740*g + 10. Solve -5*r - 10 = 5*h, 13 = -4*r - h + g for r.
-2
Suppose -1829*u + 1783*u = -92. Solve -4*f - 28*h + 26*h - 12 = 0, h + u = 0 for f.
-2
Suppose 96*p = -372 + 1524. Solve -5*c + 20 + p = -4*y, -3*c = y - 9 for c.
4
Let c(y) = 9*y**2 + 86*y - 18. Let i be c(-10). Suppose -21*z + 8 = 2*s - i*z, -z - 10 = -3*s. Solve -p - 4*n = -17, p + 3*n - s*n - 5 = 0 for p.
1
Suppose 28540*v - 28530*v - 50 = 0. Let k = 53 - 31. Solve -v*a = u - k, 0*u - u + 18 = 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
-2227. Solve -h + 0*m - m = n, -m = -h for h.
-2
Suppose -2*y + 0 = m - 8, 5*y = -4*m + 20. Suppose 0 = 3*k - m - 12. Solve 5*j - 28 = k*u - 2, 3*j + 2*u = -2 for j.
2
Let f(s) = s**3 - 18*s**2 + 18*s - 18. Let h be f(17). Let r(c) = -5*c**3 - 3*c**2 - 4*c - 2. Let m be r(h). Solve -4*t - d + 2 = 0, 2*d - 5*d = m*t + 2 for t.
1
Let p(y) = -y**2 + 5*y - 4. Let w be p(5). Let i be (-14)/28 - 18/w. Solve 0*g - 7 = -i*g - 5*l, -5*l = -2*g + 11 for g.
3
Let t be (-1)/2*0/(-4 - 0). Suppose 2*r + 2*b - 3*b - 5 = 0, 4*r + 5*b = 31. Solve 4*l = -n + 4, t = -n - 2*l + l + r for n.
4
Suppose d - 3 = -2*y + 3, y = -4*d - 11. Let f be 39/3*(3 + -2). Solve 4*j = 3*b - 23, -3*b + y*j + f = 6*j for b.
5
Suppose -7*o + 58 = -68. Suppose o = -6*n + 390. Suppose -4*p + n = -58. Solve 25 = -a + 6*a, -5*a + p = -5*b for b.
-1
Suppose -3*l - 20 = -7*l. Suppose l*y - o - 21 = 0, 0*y + 5*o + 1 = -y. Solve 0 = -y*h + 3*p + 1, -h - 3*p + 8 - 4 = 0 for h.
1
Suppose 0 = 3*x - 39 - 6. Let v be 31 - (-6 + 1)*(-9)/x. Solve -3*p - w = 3*w - v, -5*w = -5*p for p.
4
Suppose 0 = -11*p + 13*p - 12. Suppose -10*h + 32 = -p*h. Solve -v - h = -3*l, -l - v + 7 = 3 for l.
3
Suppose n + 3*n = -2*s - 2, 4*s + n = 17. Suppose -9 = -x - 4*c, -8 = -s*x - 2*c + 1. Let m = 10 - x. Solve -4*w - 3*j - 12 = -5*j, 0 = 3*w + j + m for w.
-3
Let z be -2*(0 + -2 + (-17 - -7)). Solve -3*u + 5*n = z, -4*u + 5*u = 4*n - 15 for u.
-3
Let h(k) = -k**3 + 10*k + 15. Let s be h(-2). Solve -5*d - r - 15 = 7, -d + s*r = 14 for d.
-5
Suppose 5*k - 4*d - 24 = 0, 0 = -3*k - 17*d + 15*d + 10. Solve -k*a = -4*x + 20, 0 = 5*a + 4 + 11 for x.
2
Let q(c) = 4*c**3 - c**2 - 2*c. Let x(m) = -2*m**3 + m. Let d(j) = -2*q(j) - 5*x(j). Let l be d(1). Solve 0 = -5*s + p - 2*p - 3, 5*p = -l*s + 7 for s.
-1
Let n(m) = m**3 + 5*m**2 + 6*m - 1. Let r be n(-3). Let d be r/4 - (-30)/24. Solve -3 = 4*x - 2*f - f, d = f for x.
0
Let q = -146 - -154. Suppose -f = 3*o + q + 3, 0 = 4*o + 20. Solve -2*l = 3*c - 7*l - 19, -4*c - f*l - 28 = 0 for c.
-2
Let v = 14 - 8. Let m(k) = k**2 - 7*k + 6. Let p be m(6). Suppose -h + 3*h = p. Solve 2*f - v = y, 5*f - 14 = -h*y + 3*y for f.
4
Let d(a) = 4*a + 53. Let v be d(-12). Solve v = -3*u + s, -5*u + 3*s - 3 = -0*s for u.
-3
Suppose 2*w + 1 - 3 = 0. Let l be (0 + -1)*(5 - 1). Let j be (12/(-3) - l)/w. Solve 0*g + 3 = -g - 2*b, -3*g + 2*b + 23 = j for g.
5
Let c = 1 - -3. Let q = 0 + 3. Let h be q/1 - 190/(-10). Solve -c*n = 5*u - h, -u - 2*n + 11 = n for u.
2
Let h = 179 - 174. Solve 2*f = 3*f + h, 0 = 3*q - f - 17 for q.
4
Let l(i) = i + 12. Let s(w) = -w**2 + 6*w + 9. Let o be s(-2). Let h be l(o). Solve -2*c + 5*t = 16, -h*c - 2 = t - 4*t for c.
2
Let h(g) = g**3 - 6*g**2 - 4*g - 16. Let y be h(7). Suppose y*t - 16 = -6. Solve -2*o + 0*l - t*l = 10, -3*l = 0 for o.
-5
Let n(p) = 5*p**3 - 2*p**2 - 2*p + 2. Let d be n(2). Suppose 0 = -36*c + d*c + 168. Solve -w - 4*w = 2*f + c, -f = 4*w + 20 for f.
-4
Let g = -20 - -23. Suppose 0 = 5*s - 7 - g. Solve -2*j - 3*j + 3 = -s*h, -h + 3*j - 1 = 0 for h.
-4
Let k be 4/8 - 37/(-2). Suppose -k*n + 22*n - 9 = 0. Solve 0 = 2*g - 10, -n*b - 3*g + 6*g - 12 = 0 for b.
1
Suppose 430 = -6*w + 46. Let j = 82 + w. Solve -4*i = -n + j, 3*i + 2 = 2*n - 9 for n.
-2
Suppose 21*h - 170 = 271. Solve -x - x = 5*v - h, x + 2*v = 8 for x.
-2
Suppose 45*b - 48*b - 9 = -5*k, b - 2 = 0. Solve -u - 5 + k = -i, u - 6 = 5*i for u.
-4
Suppose -3 = -3*t, -3*t + 0 + 5 = r. Suppose 27 = 4*i + 4*p - 7*p, -r*i - 2*p - 4 = 0. Solve -w - 3*m + 2*m = -i, 0 = 3*w - m - 1 for w.
1
Let r = 67 - 63. Suppose 3*x = -2*x + 20. Solve -3*h + w = -x*h + r, 2*h = -4*w + 18 for h.
-1
Let d(v) = -v**3 + 14*v**2 - 16*v. Let n be d(13). Let q be (-3)/((-27)/(-24))*n/4. Solve 5*a - 5*i + 2 = -3, 4*a + 2*i - q = 0 for a.
4
Let m(a) = a**3 - 5*a**2 + 2. Let b be m(5). Let x = -18 - -23. Suppose 0 = x*l - 147 + 87. Solve l = 2*z + 5*q, 5*q = -b*z + 4*q - 4 for z.
-4
Suppose 36*d - 619 = -79. Solve -20 = -5*h + 5*q, -q - 2*q = d for h.
-1
Let d be (-2 - -2) + -1 - -26. Let k be -30*((-10)/(-4) + -3). Suppose 2*h - k = -h. Solve 0*o - 5*t = -4*o + d, 25 = -h*t for o.
0
Suppose 0 = -28*d - 5*d + 66. Solve d*b + 7 = -2*z - 5, 0 = -5*b + 3*z - 14 for b.
-4
Let m(o) = -2*o + 4. Let v be m(4). Let l be 5 - 4*(v - -3). Let q be ((-9)/(-2))/(-3)*-2. Solve -q*d = -4*n - d + 6, n - l = 3*d for n.
0
Suppose -m + 1 = 0, x - 3*m - m - 12 = 0. Suppose -k - 3*j + x = 0, 2*k - 3*j + 4 = -0*k. Let h = 737 + -731. Solve -h*c = 3*n - 3*c, 2 = -3*n - k*c for n.
2
Suppose 4*o - 3*o + 6 = -2*i, -3*i = 4*o - 1. Suppose -2*d + o*x = -d - 32, 0 = 5*d + 5*x - 110. Solve 4*f = 4*y + 20, 2*y = -5*f + d + 1 for f.
5
Let x be 2/(-3) + (-272)/(-48). Let m be (9/3 - x) + 8. Solve -j = 2*u + 1, -5*j = -2*u + m*u + 17 for u.
2
Let v be 114/76 + (-3)/2. Solve -4*c + 8 = 2*g - v, -24 = -5*c + g for c.
4
Let f(r) = r**3 - 5*r**2 - 35*r + 152. Let l be f(7). Solve 31 = -4*x - x + 2*z, 2*x - 5 = -l*z for x.
-5
Let x be 1*(1 + 0 - 0)*10. Suppose x*q = 4*q + 24. Suppose 3*o = -0 + 6. Solve -13 - 15 = q*w - 4*n, -4*n - o = 2*w for w.
-5
Let i(z) = -z**2 + 11*z + 2. Let t be i(11). Suppose 0 = 5*j + t*b - 18, -3*j - 2*b + 22 = 2*b. Solve -4*v = 3*u + 10, -3*v + j*u - 20 = v for v.
-4
Suppose -1565*l = -1570*l - 90. Let b = -14 - 8. Let x = l - b. Solve 2*w + 8 = -y, y + x*w - 2 = -16 for y.
-2
Suppose 2*q - 78 = -5*z + 78, 0 = -5*z. Let x = q + -53. Let f be (21/(-6))/7*0. Solve -2*g - x = 5*a, f = -g - 2*a - 1 - 10 for g.
-5
Let g = 1632 - 1630. Solve 0 = 4*o - a - 11, 4*o + a = -g*a + 15 for o.
3
Let j be (4/3 - -1)*6. Solve y - 5 = -u, 3*u + 4*y - 1 = j for u.
5
Suppose -5*j + 8*j = 3*n - 9, j + 3*n = 17. Solve d = -4*x + 1, -5*d - x + 22 = j*x for d.
5
Let j(h) = h**3 + 18*h**2 + 16*h - 5. Let p be j(-17). Suppose 11*o - 7*o = p. Suppose y - 4 = -0*y. Solve 3*g - 6*g = 3*n + o, y*g + 3*n + 6 = 0 for g.
-3
Let k(q) = 2*q + 0*q - 3 - q - 2*q. Let c be k(-6). Suppose 14 + 0 = 4*l + c*v, 0 = l + 2*v - 1. Solve -o + 16 + 1 = -5*g, 0 = g - 3*o - l for g.
-4
Suppose -3*m + 9 = -0*v + 3*v, 3*m - 17 = v. Let c be (4*3)/4 - 14. Let u = 3 - c. Solve 2*l = -5*h + 2, -u = h + m*l + 4 for h.
2
Let z = 3 + 0. Let p be -2 + 10 - 9/z. Suppose 3*s + p*o = 4*s - 26, -3*o = s + 6. Solve -s = -3*l - 2*k, -5*l + 11 = 4*k - k for l.
4
Let u be (-3)/(-12)*36/63*7. Solve -3*x = o - 4, 0 = -3*o + 2 + u for x.
1
Let p = -17 - -10. Let z be 8 - (p + 2 - -2). Suppose z*g - 25 = 6*g. Solve r + 8 = 2*i, -5*r - 18 + g = -i for r.
-2
Let c(a) = 9*a - 13. Let y be c(2). Solve 5*o = 3*g, 0*g + y*o = 5*g for g.
0
Suppose -42 = l + 10. Let p = -50 - l. Solve 0 = -5*m + p*j - 19, 5*j - 5 = -20 for m.
-5
Let o(a) = -6*a - 21. Let c be o(-5). Let s = c - 4. Suppose s*b - j - 2 + 1 = 0, 0 = 5*b + j + 1. Solve -3*k = 3*m + 15, -2*k + b*k = 4*m + 18 for k.
-1
Suppose -2*f = -12 - 22. Let r = -2 + 2. Let h be (-2 + 2)/(-2) - r. Solve h = -4*o + 5*w - f, -w = 3*o + 2*o + 14 for o.
-3
Let i = -162 - -310. Let h = i - 148. Solve 2*k - 4 = 3*v - 7, h = 4*v - k - 9 for v.
3
Let w be 9*(1 + 2/3). Suppose -20*j + 2*j + 306 = 0. Let t = j - w. Solve 3*u + 15 = u + 5*k, 0 = -t*u + 4*k - 10 for u.
5
Let o be 1/2*(7 + 9 - 4). Solve -4*c + 1 = -5*m, 0 = 4*m + 3*c - c + o for m.
-1
Let p(d) = -d + 4. Let w be p(2). Suppose 0 = 3*t - w - 4. Let a be (1 + t)*28/6. Solve -22 = 4*l - l + 5*q, a = -5*l + 3*q for l.
-4
Suppose -109 = 2*p - b - 112, -p = 5*b - 18. Solve -4*x - p + 21 = -2*w, -2*x = -2*w - 12 for w.
-3
Let y(d) be the third derivative of d**4/8 + d**3/2 - 16*d**2. Let i be y(-1). Solve -3*j = 7*t - 3*t - 25, -2*t + 4*j - 4 = i for t.
4
Let k be 6/(-3)*(-5)/10*2. Let a be (-84)/(-18) - (-2)/6. Solve 2*c + a*v - 2 = 0, 0 = 3*c - k*c - v + 6 for c.
-4
Let z(i) = i**2 - 7*i. Let m be z(8). Suppose -4*o + m*o = 0. Suppose 37 = 5*c + 7. Solve -3*a - v - c = o, -3*v = -2*v for a.
-2
Let j = 1292 - 1279. Solve -4*c - 2*a = -j + 1, -c + a + 6 = 0 for c.
4
Suppose 0 = 5*r + p - 10, -r - 2*p - 3*p = 22. Let s be (-11 - -21)*(-6)/(-4). Solve -4*v = -3*f + s, r*v - f + 13 = 3*f for v.
-3
Let h(f) = 3*f**3 - 7*f**2 - 15*f. Let s be h(4). Solve -3*x - 5 = 2*d + 3*d, -4*x = -s for d.
-4
Let n be -16*3*(1 + -2). Suppose -5*q + 4*t + n = t, -5*q + 43 = 2*t. Solve 3*p = 3*g + 18, g - 2*p + q = -0*g for
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (-6)/21.
5/6
What is 6/28*(69/(-90) + (-48)/(-480))?
-1/7
What is (-6)/(-4) + ((-129)/24)/((-1)/4)?
23
What is ((-2000)/4500)/(2/(-45))?
10
What is 6912/9216*(-208)/6?
-26
(99/44*50 + -11)/((-56)/(-16))
29
Calculate 1*(-170)/45 + 4 - 780/108.
-7
Evaluate (10 - (-2 - -3))*(11 + -38 + 26).
-9
What is the value of 700/(-40)*(2 + (540/35)/(-6))?
10
Calculate -4 - -2 - 18/(-21).
-8/7
1/(-25*3/(-750))
10
What is ((-87)/135 - -1) + 80/180?
4/5
Evaluate (-2)/(-13) - 2725/1417*16/70.
-2/7
Calculate (0/(-112))/(1/1) + (-30)/(-27).
10/9
What is 2/2*-4 - (-86 + 32 - -36)?
14
Calculate (39/(-26)*12)/((-1)/(4/6)).
12
Evaluate 1691/95 - (35 + -20).
14/5
1/1*7*10/14 + 2
7
What is the value of 26/51 - ((-204)/1530)/((-2)/5)?
3/17
What is the value of (-30)/3 - (126/28 - 0)*-2?
-1
What is (-957)/(-609) + 1/(-1)?
4/7
What is (-33)/77 - (-60)/238?
-3/17
What is (10 + 64/(-3 + -5))/48?
1/24
What is the value of (4 - (-84)/(-18))*(-4)/16*90?
15
Evaluate ((-110)/(-24) + (-660)/198)/(-2).
-5/8
What is the value of ((-5670)/36)/63*32/(-10)?
8
What is ((-1)/2)/(-1) + ((-2627)/(-74) - 13)?
23
What is the value of ((-2)/3)/(188/846)?
-3
Calculate (-20)/25 - (-30)/225.
-2/3
What is the value of (3/4)/((-252)/2328) - -7?
1/14
32 - (-26)/((-468)/(-54))
35
What is the value of 41/((-861)/(-819))*1/3?
13
What is the value of ((-9)/3)/((36/(-8))/3)?
2
What is the value of (-10 - 168/(156/(-13))) + (8 - -2)?
14
Evaluate 2 + (-228)/(-14) + 23/(-7) + 3.
18
Evaluate (-208)/(-1768)*(-1)/2*3.
-3/17
((-16)/4 - -5)*(-18)/3
-6
What is (-4)/1 + 15/1500*-598 + 10?
1/50
Evaluate (30/(-75))/(64/2680) + 6/8.
-16
Calculate (0 - (-4)/(-3))*(-1296 + 1293).
4
Evaluate (6/(-5))/(-12 + 1746/90 + -7).
-3
(-3)/(-21) - (-9)/(-21)
-2/7
What is the value of -3 - (25 - 14) - 4*-2?
-6
Evaluate 31/11 + (6/(-88))/(30/(-80)).
3
What is the value of ((5 - 3)/2 + -2)*(-4 - -1)?
3
What is 172*3/102 - 5/(11 + -10)?
1/17
What is ((-150)/12)/(320/384)?
-15
What is (-30)/(-36)*(-8)/10?
-2/3
Evaluate (-12)/10*1240/1984.
-3/4
Calculate (-36)/((-4)/1) - (-3)/(-1).
6
What is (-22)/(-2464)*64 - 178/(-7)?
26
What is the value of (-494)/(-380) - (-20)/(-25)?
1/2
-5 + -20*162/(-90) - 17
14
What is -1 + 319/(-580)*(-3 - (-3)/3)?
1/10
Calculate 13 - 7 - (-8 - 759/(-54)).
-1/18
480/7920 - (-200)/(-33)
-6
Calculate (-66)/(-4)*(-9)/(270/(-20)).
11
What is the value of ((-768)/(-112))/(38/(-133))?
-24
Calculate 72/(-315)*(10 + (-1098)/72).
6/5
Evaluate 9 + 6 + (-5344)/352.
-2/11
Calculate (-111)/24 - (-1683)/(-4488).
-5
Evaluate 47/(2773/177)*5/(-3).
-5
Calculate (1022 - 1034) + (-230)/(-19).
2/19
What is 21 + (-64)/4 + (-4 - 32)?
-31
What is the value of (-1)/(0 - (-20)/(-8))?
2/5
What is the value of 6 - ((-18)/(-10))/(7/((-35)/1))?
15
5/(-45*(-40)/(-11520))
-32
Calculate (14/(-21))/((7 - 14)/126).
12
Calculate (-20*(-28)/210)/(2/3) + 5.
9
Evaluate (840/100)/((-4)/34 + (-48)/170).
-21
(3/4)/((-184)/736)
-3
What is (22/10 - 2)/(171/(-1368))?
-8/5
5445/1980 + (-178)/24
-14/3
Calculate (4/12)/(16/384) + -18.
-10
Evaluate -12 + 14/6*5.
-1/3
(1296/(-972))/((-2)/9)
6
((-2)/(-5) + 26/(-40))*-44
11
(-19 - 4136/(-220))*(2 - 33/39)
-3/13
(((-8)/132)/(36/162))/(3/(-4))
4/11
Evaluate (-4)/(-18)*3*(17 - (-12348)/(-720)).
-1/10
Calculate (-64)/(-44) - (69 - 67).
-6/11
What is the value of (54 + -106 + 20)*2/(-4)?
16
What is (-28)/(-21)*33/(-187)?
-4/17
(0 + 1)/(58 + 33198/(-572))
-26
Calculate ((-20)/(-7))/(-21 + 5662/266).
10
(-960)/(-315)*3 - 9
1/7
Evaluate (-2)/(-4)*(18 - (31 - 11)).
-1
(-84)/(-6) - (-15 - (-972)/33)
-5/11
-11 + 30247/1192*(-3)/(-7)
-1/8
What is the value of 6*(-4*(-581)/(-210) - -9) + 10?
-12/5
Evaluate (-37 + 14 - 816/(-36)) + (-176)/(-6).
29
Evaluate (-5 + -3)*46/2024.
-2/11
Calculate (-8 + (-1328)/(-168))*(4 + -1 - 38).
10/3
What is (-5)/(-2)*(-10)/(-175)?
1/7
Calculate 0 - (-2)/(8/32 - 0).
8
What is the value of (-30 - -33)/(((-21)/(-12))/(-7))?
-12
Calculate -41 + 992/32 + -9.
-19
((-12)/18)/(11/(-18))*143/26
6
((-4)/6)/(-1*12 + (-15648)/(-1296))
-9
Evaluate (((-1075)/(-250))/(-43))/(4/(-45)*-3).
-3/8
Evaluate 26 - 10*(-9 - -11).
6
What is the value of ((-274)/56 - -5)*2*(4 - 0)?
6/7
Evaluate 31 - (-1692)/((-1260)/35).
-16
What is the value of 6 + -4 - (-364)/28?
15
Calculate (-207)/(-115)*((-2)/10 + (-112)/(-60)).
3
(-6)/4*((-36)/8)/3*-4
-9
(-75 - -63)/((-14)/4 + (-8)/(-16))
4
What is the value of ((-1)/(-13)*-3)/(27*(-19)/342)?
2/13
(68 + -39 - 32)*1/(-2)
3/2
What is the value of (-14)/5 - 284/(-355) - (-31)/17?
-3/17
Calculate (-42 + 32)/((-175)/(-42)).
-12/5
Evaluate 24/(-24)*(-5 + (-424)/(-88)).
2/11
4/14 - (2632/(-3136))/(6/(-8))
-5/6
(-23088)/1184 + 38/2
-1/2
Evaluate (0 - -2)*(-4732)/1352.
-7
What is the value of (-32 - -35)*(7/(-3) - 2)?
-13
What is the value of 9 - (((-784)/(-35))/28)/(4/10)?
7
Calculate (243/18 + -16)*(-24)/(-10).
-6
Calculate 50/(-46) + -3 + -11 + 60/4.
-2/23
What is the value of (-1309)/(-748) + 4 + (-19)/4?
1
What is (-285)/60 + 2552/544?
-1/17
Evaluate (-112)/(-210)*9/(-2) - -2.
-2/5
Evaluate (-4)/(-48)*-2 + (-649)/66.
-10
Evaluate 17 + (-28 - -16) + (-7 - 1).
-3
What is the value of (4/10)/(4 + (-159)/40) + -5?
11
Evaluate (-660)/(-275) - 524/210.
-2/21
What is ((-2)/9 - 44/(-36))*82/(-287)?
-2/7
Calculate 24/(-5) - (-31)/(-155).
-5
Evaluate ((-1)/3)/(8/(-6)).
1/4
Evaluate (-310)/4216*-8*17/4.
5/2
Evaluate 2/(-6)*(-18)/(-4)*20/30.
-1
Evaluate (20 - 228/9)/((80/15)/(-8)).
8
630/(-126)*9/5
-9
((-4)/44*-1)/(-106 - -107)
1/11
What is (-40)/(-20)*(-2 + -10)?
-24
What is (-42746)/1206 + (120/27 - 5)?
-36
Evaluate ((-596)/(-5960))/((-4)/25).
-5/8
What is the value of -61 + 44 - 2816/(-154)?
9/7
What is ((-12)/50)/((-693)/(-1155))?
-2/5
Evaluate (-31)/5 - ((-264)/(-55))/(-24).
-6
Calculate (18/(-15))/(64/20)*(-7)/(-21).
-1/8
Calculate ((8/(-24))/(5/(-15)))/(8/40).
5
What is the value of ((-2024)/(-143) - 14)/(-2)?
-1/13
What is the value of ((-1)/2 - 1)/(2418/(-52) - -47)?
-3
((-536)/(-48) - 12)/((-2)/12)
5
Evaluate (-2)/5 + 520/800.
1/4
60480/36800 - (-24)/(-15)
1/23
Calculate 1*(28/(-294) + (-527)/(-21)).
25
(8 - 5908/728)*(-4)/3
2/13
Calculate 1 + (-20)/14 + (47 - 47).
-3/7
What is 901/1855 + (-3)/(-63)*2*-3?
1/5
What is the value of 3/8*(-5590)/258 - -8?
-1/8
What is the value of ((-9842)/1624)/19 - (-3 + (-340)/(-116))?
-1/4
Evaluate (1 - -3) + -11 - (-288)/(-42)*-1.
-1/7
What is the value of (1 - 0)*-17*(-1181)/1181?
17
12/(-78) - 220/(-416)
3/8
6/16 - 415/40
-10
(-132)/14 + 495/66*6/105
-9
1/(70/(-135)) - 180/(-72)
4/7
What is the value of (-86)/(-20) + (-48)/32 + 42/35?
4
What is the value of 0 - (-1)/6 - (-976)/1056?
12/11
Calculate 10 + (90/(-15) - 3).
1
Calculate 1/(-2)*(8060/(-420) + 19).
2/21
Calculate (33/(-110))/(-5 - -4)*(-8)/(-12).
1/5
Evaluate -20*(((-176)/(-110))/4)/((-4)/5).
10
What is -140*((-104)/(-91) - 1)/((-2)/4)?
40
Evaluate -37 + 42 - (2 - 152/(-24)).
-10/3
What is (32/3 - 2)/((-256)/384)?
-13
What is the value of 9 + ((-90)/9 - -3)?
2
What is ((-1)/(1 + (14 - 13)))/((-1)/(-2))?
-1
What is (-3 + 9/189*65)/((-9)/42)?
-4/9
Calculate (-150)/(-15) - -14 - 35.
-11
Evaluate 12/((-612)/(-147)) - (-6)/(-2).
-2/17
What is (3 - 6)/(231/(-385))?
5
Calculate (1/20)/(10/(-84) + 36/126).
3/10
What is ((-107)/((-2354)/(-132)))/(-7)?
6/7
What is the value of (35/10 - (-10)/(-2))/(4/(-8))?
3
(-112)/(-252)*6/16 - (-6431)/(-354)
-18
What is the value of ((-60)/(-700)*14)/(3/15)?
6
(-200)/(-49980)*231 + (-4)/7
6/17
Evaluate 5*(-4)/(-20)*(-60)/96.
-5/8
What is 312055/(-12510) - (-2)/(-36)?
-25
What is the value of ((-255)/(-25) - 10)*-61 + 28/(-35)?
-13
What is the value of (-8)/6*(-24 - 1235/(-52))?
1/3
Calculate -7 + (-56)/1428 + (-6)/(-153).
-7
What is the value of (933/(-5909))/(1 + -4)?
1/19
What is the value of (15 + 3)*3/6?
9
Calculate (35/(-7))/(8/(-8)) + 7.
12
Evaluate ((-96)/128)/(12/42 + (-9)/56).
-6
Calculate (60/(-21))/(12/(-21)).
5
Calculate ((-2160)/195 + 11)/(5*4/120).
-6/13
What is (-18*(-18)/(-1296))/(6/16)?
-2/3
Evaluate 9/12 - (8 - (7850/520 + -8)).
-2/13
What is the value of -4 + 9/6*(-2002)/(-455)?
13/5
Calculate ((-10)/45)/(510/153 - (-4)/(-2)).
-1/6
(78/9 + 2)*(195/6 + -33)
-16/3
Evaluate -24 - -14 - (-5 - 7).
2
Calculate ((-44)/14)/22*1.
-1/7
(-740)/11655*14/(-12)
2/27
What is ((-1394)/984)/(6/(-144))?
34
What is the value of ((-1125)/(-2700))/(1/(-3
|
{
"pile_set_name": "DM Mathematics"
}
|
Let p(g) = 1. Let q(j) = -2*j**2 + 2*j - 7. Suppose 0 = -0*c - 4*c + 8. Suppose 7*i - c*i - 30 = 0. Calculate i*p(r) + q(r).
-2*r**2 + 2*r - 1
Let j(n) = 8*n**3 + 3*n**2 - 3*n + 1. Let u(g) = -9*g**3 - 4*g**2 + 4*g - 2. Determine 4*j(q) + 3*u(q).
5*q**3 - 2
Let t(y) = -8*y. Let j be ((-2)/3)/(4/6). Let k(f) = 7*f - 9. Let l(w) = -3*w + 4. Let a(q) = 4*k(q) + 9*l(q). Determine j*t(b) - 6*a(b).
2*b
Let q(o) = -o**2 + 3*o + 9. Let t be 3 + -1 + 3*-3. Let r be -5 - t - 1*-3. Let u(n) = 2*n**2 - 5*n - 14. Calculate r*u(c) + 8*q(c).
2*c**2 - c + 2
Suppose -4*f = -4*n - 0*n + 32, 7 = f + 2*n. Let p(s) = -4*s**3 + 10*s**2 + 10. Let k(h) = -h**3 + 3*h**2 + 3. Give f*p(w) + 10*k(w).
2*w**3
Let c(y) be the third derivative of y**4/4 + 4*y**3/3 - y**2. Let u(t) = 15*t + 19. Let l(i) = 8*i + 10. Let z(f) = 5*l(f) - 3*u(f). What is -6*c(b) - 7*z(b)?
-b + 1
Let l(n) = 2943*n + 72. Let f(c) = 203*c + 5. What is 72*f(j) - 5*l(j)?
-99*j
Let r(y) = -y**2 + 2*y - 3*y**2 + y**2 - y**2 - 1. Let z(g) = 5*g**2 + 2 - g**2 - 5*g + 7*g**2. Calculate -8*r(u) - 3*z(u).
-u**2 - u + 2
Let n(g) = 0*g**2 - 5*g + 3*g**2 + 6 + 0*g**2 - 4. Let l(w) = w**2 - 2*w + 1. Give 10*l(t) - 4*n(t).
-2*t**2 + 2
Let x(b) = -b**3 - 1. Let t(y) = y**3 + 6*y**2 + 2. Calculate t(i) + 2*x(i).
-i**3 + 6*i**2
Let v(f) = f + 3. Let s(w) = -w - 1. Let i(y) = -2*s(y) - v(y). Let l(z) = 4*z - 4. Calculate -18*i(m) + 4*l(m).
-2*m + 2
Let k be (-21 + -1)*7/(-14). Suppose 0*o + 5*d = o + k, 3*o + 20 = 2*d. Let i(f) = 8*f**2 - 6. Let u(b) = -7*b**2 + 5. Calculate o*u(t) - 5*i(t).
2*t**2
Let k(z) = -z**3 + z**2 - 1. Let w(n) = -3*n**3 + 2*n**2 + n - 1. Give -2*k(u) + w(u).
-u**3 + u + 1
Let j(m) = -m**2 - m - 2. Let o(z) = -1. Let u = -1 - -2. Suppose 2*v - 3 = u. Calculate v*o(a) - j(a).
a**2 + a
Let p(r) = 3*r**2 - 6*r**2 + 3*r**2 + r - r**2. Let n(q) = 4*q**2 - q - 2. Give n(k) + 3*p(k).
k**2 + 2*k - 2
Let v(l) = -8*l + 6. Let u(q) = 105*q - 77. Determine -6*u(o) - 77*v(o).
-14*o
Let u(i) = -4*i**3 - 6*i**2 + 4*i - 1. Let n(j) = 17*j**3 + 25*j**2 - 17*j + 4. What is -6*n(r) - 26*u(r)?
2*r**3 + 6*r**2 - 2*r + 2
Let t(i) = 4*i + 1. Let u(x) = 3*x + 1. Let c(f) = 2*t(f) - 3*u(f). Let g(y) = 3. Suppose -a = -0*k + 2*k - 7, k = -2*a + 11. Calculate k*g(s) + 2*c(s).
-2*s + 1
Let b(k) be the second derivative of 2*k**3/3 - 4*k**2 + k. Let o(z) be the third derivative of -z**4/24 + z**3/3 - 24*z**2. Calculate -2*b(m) - 9*o(m).
m - 2
Let y(b) = 7*b**2 - 6*b. Let c(o) = 78*o**2 - 65*o. Determine -6*c(s) + 65*y(s).
-13*s**2
Let y(r) = -2*r - 5. Let c(t) = -5*t - 9. Determine -3*c(g) + 5*y(g).
5*g + 2
Let o(j) = 3*j - 3. Let s(h) = 4*h - 4. Give -6*o(c) + 5*s(c).
2*c - 2
Let z(k) = -3*k + 2. Let m(n) = -n + 1. Let u be ((-1)/(-2))/(6/60). Give u*m(o) - 2*z(o).
o + 1
Let n(j) = 3*j. Let v(t) = -6*t. Give 14*n(o) + 6*v(o).
6*o
Let a(q) = -10*q - 11*q + 16*q - 3. Let r(h) = 2*h + 1. Calculate 4*a(g) + 11*r(g).
2*g - 1
Let y(k) = -k**2 + k + 1. Let s(p) = 1. Give s(o) + y(o).
-o**2 + o + 2
Let r(u) = 2*u + 5. Let p(s) = -3*s + 3. Let c be p(2). Let i(y) = 1. Let x(j) = -3*j - 9. Let l(k) = 3*i(k) + x(k). Determine c*l(a) - 4*r(a).
a - 2
Let q(t) = t + 1. Let a(z) = 3*z**3 + 4*z + 4. Determine a(n) - 4*q(n).
3*n**3
Let u(d) = -d. Let b(x) = 4*x. Let z(l) = -b(l) - 3*u(l). Let c(q) = 2*q**3 - q. Give -3*c(p) + 3*z(p).
-6*p**3
Let p(z) = -z**3 - z**2 + z. Let y(q) = q + 4. Let b be y(-4). Suppose 4*f - 9*f - 25 = b. Let r(a) = 6*a**3 + 3*a**2 - 6*a. Calculate f*p(t) - r(t).
-t**3 + 2*t**2 + t
Let j(y) = 13*y + 9. Let u be (-12)/24 - (-11)/2. Let n(h) = -14*h - 8. Let b(g) = u*j(g) + 4*n(g). Let s(a) = -5*a - 7. Determine 4*b(x) + 7*s(x).
x + 3
Let c(j) = 14*j**3 + 8*j**2 - 8*j + 5. Let i = 6 + -4. Let v(r) = 3 - 3*r + 5*r**3 + 2*r**i - 1 + r**2. Give 3*c(h) - 8*v(h).
2*h**3 - 1
Let l(c) = 5*c. Let x(a) = 64*a. Give 80*l(v) - 6*x(v).
16*v
Let v(s) = 9*s + 2. Let f(w) = -37*w - 9. Give -4*f(n) - 18*v(n).
-14*n
Let u(s) = 2*s**3 + 3*s**2 - s. Suppose 5*b = -b - 24. Let v(g) = 3*g**3 + 4*g**2 - 2*g - 1. Give b*u(q) + 3*v(q).
q**3 - 2*q - 3
Let t(j) = -j**2 + j. Let n be 3/2 + (-1)/(-2). Suppose -k - 6 = -x - 2, -n*k + 22 = 3*x. Let w(a) = 4*a**2 - 6*a + 1. Determine x*t(g) + w(g).
-2*g**2 + 1
Let i(m) = 3*m - 14. Let h(b) = -3*b + 13. Determine -6*h(q) - 5*i(q).
3*q - 8
Let v(s) = -5*s + 7. Let a(x) = -14*x + 22. Determine -3*a(b) + 8*v(b).
2*b - 10
Let y be (0 + -3)/(1/1). Let k be (-1*1)/(y/9). Let q(r) = 4. Let n(v) be the third derivative of -v**5/60 - 5*v**3/6 + 33*v**2. What is k*q(w) + 2*n(w)?
-2*w**2 + 2
Let z(h) = -2*h + 9. Let t(y) = -1. Let n(i) = -5*t(i) - z(i). Let w(s) be the second derivative of -s**3/3 + 3*s**2/2 + s. Determine -5*n(j) - 6*w(j).
2*j + 2
Let w be 5/3 + (-6)/9. Let t(a) = 4*a - 1. Let r(d) = 1 - 1 + d. Give w*t(y) - 3*r(y).
y - 1
Let q(g) = -17*g**2 + g - 11. Let a(z) = 6*z**2 + 4. Determine -11*a(b) - 4*q(b).
2*b**2 - 4*b
Let r(f) = f. Let w(h) = -17*h**3 + 153*h. Determine -306*r(n) + 2*w(n).
-34*n**3
Let y(j) = -3*j - 5. Let f(o) = o + 3. Give -10*f(b) - 4*y(b).
2*b - 10
Let s(c) = -5*c**2 - 1. Let v(t) = 1. Determine -2*s(o) - 2*v(o).
10*o**2
Let q(w) be the third derivative of w**5/60 - w**4/8 + w**3/6 + w**2 + 9*w. Let i(y) = -5*y**2 + 13*y - 4. Give 2*i(h) + 9*q(h).
-h**2 - h + 1
Let v(m) = 17*m**2 + 4*m + 4. Let a(w) = -w - 1. Give 4*a(y) + v(y).
17*y**2
Let i(j) = -14*j - 1. Let r(y) = 29*y + 3. What is 7*i(g) + 3*r(g)?
-11*g + 2
Let l(k) = -11*k - 5. Let t(h) = -10*h - 5. Let y(n) = -6*l(n) + 7*t(n). Let a(w) = -w - 1. Calculate 11*a(q) - 2*y(q).
-3*q - 1
Let l(v) = -17*v**2 + 4*v. Let x(q) = 390*q**2 - 91*q. What is -91*l(w) - 4*x(w)?
-13*w**2
Let v = -2 - -7/3. Let y(n) be the third derivative of 1/60*n**5 + 0*n + v*n**3 + 1/12*n**4 - 2*n**2 + 0. Let z(m) = m**2 + 2*m + 2. Determine -6*y(q) + 5*z(q).
-q**2 - 2*q - 2
Let o(w) = -2*w**2 - 5*w. Let r(a) = -2*a**2 - 4*a. Suppose 5*y + 5 + 15 = 0. Calculate y*o(g) + 5*r(g).
-2*g**2
Let j(f) = -13*f - 7. Let h(w) = 6*w + 3. Let r = 0 + 4. Let v be (-68)/16 - (-1)/r. Determine v*j(l) - 9*h(l).
-2*l + 1
Let u(i) = -i + 1. Let t(k) = -k**3 + 2*k**2 - 2*k + 1. Determine t(o) - 2*u(o).
-o**3 + 2*o**2 - 1
Let o(c) = c**2. Let f(r) = -r**2. Calculate 5*f(m) + 10*o(m).
5*m**2
Let v be (6/21)/((-1)/(-7)). Let r(f) = -4*f - 2 + 1 + 5 + 2*f**v. Let k(o) = -5*o**2 + 9*o - 9. Determine -4*k(i) - 9*r(i).
2*i**2
Let n(f) = -f - 5. Let x(k) = -k - 6. Calculate 5*n(g) - 4*x(g).
-g - 1
Let l(a) = -1. Let n(h) = -16*h - 176. Calculate -704*l(r) + 4*n(r).
-64*r
Let k(a) = a**3 + 3*a**2 + 2*a - 1. Let q(w) = w**2 + w - 1. Suppose -d = -0 + 2. Calculate d*q(v) + k(v).
v**3 + v**2 + 1
Let k(o) = -4*o**3 + 3*o**2 - 3*o - 3. Let x(a) = 7*a**3 - 6*a**2 + 5*a + 6. Let h(d) = -5*k(d) - 3*x(d). Let i(l) = -l**3 + 2*l**2 - 2. Give 2*h(w) - 3*i(w).
w**3
Let m(y) = -y**2 - y + 1. Let p(g) = 12*g**2 + 10*g - 10. Let i(t) = -5*m(t) - p(t). Let o(k) = -3*k**2 - 2*k + 2. What is 2*i(v) - 5*o(v)?
v**2
Suppose 3 = -3*b + 21. Let x be (-12)/(-18) - 28/b. Let u be (14/3)/(2/3). Let h(t) = -2*t - 6. Let l(p) = -4*p - 11. What is u*h(d) + x*l(d)?
2*d + 2
Let q(l) = l - 1. Let b(u) = -12*u + 15. Calculate b(i) + 15*q(i).
3*i
Let m(g) = -1. Let j(a) = 4*a. Let v(s) = 1. Let h(i) = -j(i) + 2*v(i). Determine -h(f) - 3*m(f).
4*f + 1
Let v(w) = 0*w**2 - 13*w**3 + 13*w + 3*w**2 + 10 + 4*w**2 - 14. Let x(a) = 3 - 9*a + a - 5*a**2 + 9*a**3 - a. Determine 5*v(n) + 7*x(n).
-2*n**3 + 2*n + 1
Let o be 0 + (-5)/2*2. Let c be (o - -2)/(18/96). Suppose -2 + 22 = -4*x. Let k(w) = 10*w + 16. Let j(y) = -3*y - 5. What is c*j(h) + x*k(h)?
-2*h
Let b(x) = -3*x - 4. Let t(u) = -24*u - 33. Let h = 18 - 51. Give h*b(p) + 4*t(p).
3*p
Let r(o) = -3*o**2 + 5*o. Let a(q) be the second derivative of -q**4/6 + q**3/2 + q. What is -5*a(i) + 3*r(i)?
i**2
Let c(h) = -2*h - 2. Let f(d) be the second derivative of -2*d**3/3 - 2*d**2 + 3*d. Calculate -7*c(r) + 4*f(r).
-2*r - 2
Let v(z) = 8*z**2 + 11*z. Let q(m) = -3*m**2 - 4*m. Let c = -26 - -30. What is c*v(b) + 11*q(b)?
-b**2
Let x(q) = 5*q**3 - 3*q - 3. Let w(a) = -a**3 - a - 1. What is 3*w(r) - x(r)?
-8*r**3
Let i(x) = 15*x**2 - 9*x + 13. Let z(l) = 7*l**2 - 4*l + 6. Let j be (3 - 7) + (0 - 2). What is j*i(t) + 13*z(t)?
t**2 + 2*t
Let m be (1 - 2) + 1 + 6.
|
{
"pile_set_name": "DM Mathematics"
}
|
s -12*c(h) + w(h)?
-2*h**2 + 4*h - 2
Let o(l) = l**3 + l**2 - 1. Let c(j) = 3*j**3 + 16*j**2 - 3*j - 1. Let g(x) = -4*x**3 - 36*x**2 + 7*x + 1. Let b(y) = 14*c(y) + 6*g(y). Give 3*b(k) - 24*o(k).
30*k**3
Let l(o) = 4*o + 2. Let t(k) = 28*k + 28. What is 4*l(x) - t(x)?
-12*x - 20
Let u be (-12)/(-30)*(5 - 8 - 2). Let l(s) = 1196*s**2 - 115*s - 115. Let p(k) = -21*k**2 + 2*k + 2. Calculate u*l(x) - 115*p(x).
23*x**2
Let g(o) = -o**3 + o**2 + 8. Let x(v) = -9*v**3 - 241*v**2 + 64. Determine 8*g(l) - x(l).
l**3 + 249*l**2
Let l(a) = 2*a + 26. Let d(m) = -30*m + 130. Let u(q) = 14*q - 58. Let g(c) = 6*d(c) + 13*u(c). Determine 2*g(w) - 3*l(w).
-2*w - 26
Let b(d) = -11*d - 3. Let a(p) = -795 + 794 + 0*p - 6*p. What is 7*a(o) - 4*b(o)?
2*o + 5
Let k(j) = -15. Let n(u) = 2*u - 21. Let a(o) = -3*k(o) + 2*n(o). Suppose 5*b + 0 = 10. Suppose 8 = -b*y - 12. Let s(h) = 9*h + 7. Calculate y*a(g) + 4*s(g).
-4*g - 2
Let x(o) = 143052445*o**2 - 224356*o + 448712. Let q(s) = 5101*s**2 - 8*s + 16. Determine 56089*q(v) - 2*x(v).
5099*v**2
Suppose -101*k = -106*k + 75. Let s(t) = -5*t + 5*t**2 - t - 5*t - 7 + 3*t + k*t. Let v(m) = 5*m**2 + 6*m - 6. Determine 6*s(c) - 7*v(c).
-5*c**2
Let b = -11986 - -11979. Let r(c) = -7*c**3 - 9*c**2 - 7*c + 7. Let v(o) = -3*o**3 - 5*o**2 - 4*o + 4. Determine b*v(n) + 4*r(n).
-7*n**3 - n**2
Let r(n) = 18*n**2 + 10*n + 336. Let f(p) = 13*p**2 + 8*p + 335. Determine -4*f(x) + 3*r(x).
2*x**2 - 2*x - 332
Let a(p) = 2000*p**3 + 12*p**2 + 8*p + 2. Let x(g) = -6000*g**3 - 33*g**2 - 22*g - 5. Calculate 11*a(r) + 4*x(r).
-2000*r**3 + 2
Let v(i) = -3*i**2 - 8*i - 6. Suppose -345 + 10539 = 1699*x. Suppose -2*b + 3 = -5*b. Let u(l) = -l - 1. What is b*v(d) + x*u(d)?
3*d**2 + 2*d
Let n(j) = -6*j**2 + j + 5. Let p(d) = 11*d**2 + 2*d - 32. Determine -2*n(v) + p(v).
23*v**2 - 42
Let q(p) = 19*p**2 + 8*p - 4. Let v(x) = 18*x**2 + 11*x - 5. Give -4*q(i) + 3*v(i).
-22*i**2 + i + 1
Let g(t) = -71*t**2 - 45*t + 4. Let f(a) = 36*a**2 + 27*a - 3. Let j(r) = -5*f(r) - 3*g(r). Let w(m) = 395*m**2 + 35. What is 35*j(y) - 3*w(y)?
-30*y**2
Let m be 3*(-11)/(-66)*2. Let x(l) = -l**3 + l**2 + l. Let h(b) = b**3 - 5*b**2 - 6*b. Give m*h(p) + 6*x(p).
-5*p**3 + p**2
Let z(y) = -29*y**3 - 55*y**2 + 33949*y - 11. Let t(w) = -16*w**3 - 30*w**2 + 16976*w - 6. What is -11*t(p) + 6*z(p)?
2*p**3 + 16958*p
Let z(j) be the first derivative of -3*j**2/2 - 4*j + 6. Let r = 35 - 32. Let a be (-20)/(-12)*r - 0. Let l(c) = 4*c + 5. Determine a*l(m) + 6*z(m).
2*m + 1
Let q(v) = 17*v + 291. Let c(o) = -o - 23. Determine -6*c(x) - q(x).
-11*x - 153
Let g(k) = 8*k**2 + 11*k - 263. Let m(h) = 3*h**2 + 3*h - 88. Give 2*g(v) - 7*m(v).
-5*v**2 + v + 90
Let u(k) = -7*k - 16. Let v(r) = -110*r - 250. Let x(l) = 95*u(l) - 6*v(l). Let a(d) = -d - 1. Determine 4*a(f) - x(f).
f + 16
Let t(a) = -2*a**2 - 6*a + 2. Let d(l) = -2*l**2 - 7*l + 2. Suppose -7 = 885*n - 884*n + p, -34 = n + 4*p. What is n*t(g) - 3*d(g)?
2*g**2 + 9*g - 2
Let c(h) = -8*h**2 - 2*h + 1. Let z(a) be the first derivative of -7*a**3/3 - a**2 + 2*a + 6531. Give 6*c(i) - 7*z(i).
i**2 + 2*i - 8
Let n(q) = -q**2 + 7*q - 9. Let y = 5158 + -5163. Let w(f) = -f**2 + 10*f - 13. Give y*w(o) + 7*n(o).
-2*o**2 - o + 2
Let v = -3 - -4. Let r(g) = 2*g**3 + 2*g**2 - 4*g + 2. Let u(y) = -1041526 + 3*y**3 - y + y**2 + 1041527 - 4*y**3. Calculate v*r(w) - 2*u(w).
4*w**3 - 2*w
Let j(r) = 128*r**3 - 31*r + 13. Let n(a) = 64*a**3 - 14*a + 6. Calculate -4*j(l) + 9*n(l).
64*l**3 - 2*l + 2
Let q(x) be the third derivative of -2/3*x**3 + 3*x**2 + 4 - 1/6*x**4 + 0*x. Let p = 20 + -11. Let v(k) = k**3 + 9*k + 9. Give p*q(w) + 4*v(w).
4*w**3
Let j(a) = -6*a. Let w(t) = -7*t. Suppose -9 = -16*n + 13*n. Suppose 5*i - 22 = -l, n*i - i - 16 = 2*l. Give i*w(h) - 6*j(h).
h
Suppose -17*h + 19*h = 2*z - 2, 3*h + 23 = -2*z. Let c(g) = 24*g**3 - 6*g**2 - 6*g - 6. Let i(j) = -25*j**3 + 5*j**2 + 5*j + 5. Determine h*c(s) - 6*i(s).
30*s**3
Let r(s) be the third derivative of s**6/120 + s**5/60 + s**4/24 + s**3/6 + 6*s**2 - 54. Let b(i) = 3*i**3 + 5*i**2 + 7*i + 6. What is b(j) - 5*r(j)?
-2*j**3 + 2*j + 1
Let s(j) = 7*j**3 + 4*j**2 + 2442*j. Let u(o) = 5*o**3 + 3*o**2 + 2446*o. Give -2*s(y) + 3*u(y).
y**3 + y**2 + 2454*y
Let c(y) = -87*y**2 - 15*y + 4. Let a(g) = 95*g**2 + 16*g - 2. Calculate -3*a(d) - 2*c(d).
-111*d**2 - 18*d - 2
Let h(q) = -1139429246*q + 5145536. Let g(w) = -14615*w + 66. Determine 233888*g(v) - 3*h(v).
14618*v
Let d(q) = 732110*q**3 - 1253*q**2. Let o(s) = -2339*s**3 + 4*s**2. Determine 4*d(j) + 1253*o(j).
-2327*j**3
Let c(b) = b + 1. Let l(k) = 123*k**2 - 33 - 124*k**2 - 8*k + 0 + 2*k. What is -6*c(p) - l(p)?
p**2 + 27
Let s(q) = 2*q**3 - 3*q**2 + 3. Let g = 4377 + -4381. Let v(x) = 2*x**3 - 4*x**2 + 3. Give g*s(d) + 3*v(d).
-2*d**3 - 3
Suppose 88*u - 20 = 90*u + 2*k, -4*k = u + 22. Let q(s) = 43*s + 5. Let p(g) = 43*g + 6. Determine u*q(l) + 5*p(l).
-43*l
Let i(p) = 26*p + 4757. Let k(u) = -5*u - 12. What is i(w) + 5*k(w)?
w + 4697
Let q(j) = -9*j**2 + 6. Let s(r) = -26*r**2 + 17. Let d(t) = t**2 - 135*t + 768. Let k be d(6). Give k*s(u) + 17*q(u).
3*u**2
Let c(t) = 22*t - 2. Let l(w) = -45*w + 4. Suppose 21210 = 3*m + 21219. Give m*l(s) - 7*c(s).
-19*s + 2
Let r(h) be the third derivative of -h**4/24 + h**3/6 - 3751*h**2. Let m(q) = q + 7. Determine -m(j) + 5*r(j).
-6*j - 2
Let q(s) = 17*s**2 + 161. Let j(k) = -7*k**2 - 54. Calculate -17*j(l) - 6*q(l).
17*l**2 - 48
Suppose d + 486 = 28*d. Let h(m) = 1 - 40*m + 23*m + d*m. Let y(r) = -r + 1. Determine h(t) - 2*y(t).
3*t - 1
Let g(j) = -j**3 + j**2 + j + 1. Suppose 39*f = 3*f - 0*f - 72. Let v(q) = 10*q**3 + 10*q**2 + 10*q + 10. Calculate f*v(s) + 20*g(s).
-40*s**3
Let m(k) = 117*k + 86. Let s(i) = -21. Give -m(g) - 5*s(g).
-117*g + 19
Let p(g) = 9*g**3 + 3*g - 5. Suppose 0*h + 6 = 2*h. Let o(f) = 4*f**3 + f - 2. Suppose 173*c + 55 = -5*a + 175*c, c - 24 = 2*a. What is a*o(d) + h*p(d)?
-d**3 + 2*d - 1
Let h(m) = 87*m + 421. Let y(x) = -41*x - 215. Determine 4*h(i) + 9*y(i).
-21*i - 251
Suppose 404 = -10*m - 311 - 1035. Let n(c) = -900*c**3 + 175*c**2 - 175. Let i(t) = 31*t**3 - 6*t**2 + 6. Calculate m*i(v) - 6*n(v).
-25*v**3
Let r(i) = -i**2 - 7*i - 8. Let h(l) = -2*l - 3. Give 14*h(m) - 4*r(m).
4*m**2 - 10
Let q(v) = -2923*v**2 - 259*v + 259. Let r(z) = -z**2 + 83*z - 1413. Let b be r(24). Let j(l) = -34*l**2 - 3*l + 3. Give b*q(t) - 259*j(t).
37*t**2
Let a(s) = 11*s. Let f(n) = -4*n. Suppose -d + 30 = 2*d. Let x(v) = 18*v - 6*v - 4*v**3 - 3 - 11*v**2 + 5*v**3. Let m be x(d). Calculate m*f(r) + 6*a(r).
-2*r
Let h(q) = -q**2 + 6*q + 71. Let b be h(-6). Let k(f) = 2*f + 6 + 6*f**3 - 3 - 1 - 2*f**2 - f**3. Let j(n) = n**2 - n - 1. Give b*k(g) - 2*j(g).
-5*g**3
Let a(o) = -8*o**3 + 6*o**2 - o + 6. Let g(j) = j**3 - j**2 - 1. Let w = 13 - 41. Let s be (-16)/(-6)*63/w. Give s*g(m) - a(m).
2*m**3 + m
Let y(i) = 15*i**3 + 9*i**2 - 784*i - 18. Let g(h) = 7*h**3 + 4*h**2 - 392*h - 8. What is 9*g(d) - 4*y(d)?
3*d**3 - 392*d
Let x be (-13)/3 - 1/(-3). Let t(g) be the second derivative of -2/3*g**3 - 7/12*g**4 - 50*g + 0*g**2 + 0. Let y(u) = 6*u**2 + 3*u. Determine x*y(m) - 3*t(m).
-3*m**2
Let h(d) = -d - 1. Suppose f - 2*j = -15, -4*f + j = -5*f. Let g(b) = -65*b - 70. Let c(l) = 32*l + 33. Let p(v) = f*c(v) - 2*g(v). Calculate -25*h(w) + p(w).
-5*w
Let a(c) = -8*c**2 + 1. Let x(u) = 52806*u**2 - 6770. What is 20310*a(m) + 3*x(m)?
-4062*m**2
Let p(k) = 3*k + 8. Let u(c) = 212*c - 116. Calculate 28*p(r) + 2*u(r).
508*r - 8
Let r(k) = 20*k**2 + 4*k - 1. Let b(m) = 35*m**2 + 717*m + 3. Let q(o) = 106*o**2 + 2033*o + 8. Let v(h) = -17*b(h) + 6*q(h). What is -5*r(x) + 2*v(x)?
-18*x**2 - 2*x - 1
Let z(f) = -83*f**3 + 2*f**2 + 2*f + 2. Let t(h) be the second derivative of -33*h**5/4 + 5*h**4/12 + 5*h**3/6 + 5*h**2/2 + 758*h + 6. What is -2*t(k) + 5*z(k)?
-85*k**3
Let o(y) = 13*y. Let m(a) be the first derivative of 39*a**2 + 3072. Give 6*m(t) - 34*o(t).
26*t
Let t(u) = -1. Let a = -247593 - -247592. Let y(d) = -d**2 - 5*d - 4. Let s be y(-3). Let c(j) = 1 - 6 + s + j. Give a*c(v) + 3*t(v).
-v
Let b(n) = 96 - 91 - 190*n + 193*n. Let x(t) = 5*t - 1. Let v be x(1). Let f(a) = -6*a - 11. Give v*f(i) + 9*b(i).
3*i + 1
Let d(f) = 6*f**2 - 7*f + 6. Let j(m) = -7*m**2 + 2*m**2 + 6*m + 0*m**2 - 16842 + 0*m**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
**(-2340)
Simplify g**(-8)/g**(-2/53)*g/g**34*g**(-3/14) assuming g is positive.
g**(-30553/742)
Simplify v*v/v**(-3/20)*v*v*v*v**(2/15)*v**(-3/5)*v**(-9) assuming v is positive.
v**(-259/60)
Simplify (r/r**(-9))/r*r**(-8)/r*(r/(r**9/r))**(-45) assuming r is positive.
r**315
Simplify ((w**(-9/8)/w)/(w**(-7/5)*w))/(w*w**(-10)*w/(w/w**(1/3)*w)) assuming w is positive.
w**(953/120)
Simplify (m/m**21)/((m*m**(-9/5))/m)*(m**(-11))**(-1) assuming m is positive.
m**(-36/5)
Simplify (b**(-1)/b*b/(b*b**14*b)*b*b)/(b**(-2/7)*b)**(-24) assuming b is positive.
b**(15/7)
Simplify (w**(-2)*w)**13*(w*w**13*w*w*w)/w*w**(-5) assuming w is positive.
w**(-2)
Simplify g*g/g**(-7/5)*g**(3/2)*(g/(g*g**(-4)/g))**14 assuming g is positive.
g**(749/10)
Simplify (p**(-4/5)*(p**(-3)*p)/p)/((p/p**(-3))/p*p*p**(2/5)) assuming p is positive.
p**(-41/5)
Simplify (j**(-14)*j**(3/4)*j)**38 assuming j is positive.
j**(-931/2)
Simplify (j*j**(-2/51))/(j/j**(6/7))*((j*j/j**(-12))/j)/j*j**(-11) assuming j is positive.
j**(649/357)
Simplify ((r*r**2)/(r/(r**5*r)))/(r/(r*r*r**(-6)))**(-25/4) assuming r is positive.
r**(157/4)
Simplify (i**(-1/13)/(i*i*i/i**(2/11)))/(i*i**(-3/11)*i/i**22*i) assuming i is positive.
i**(2342/143)
Simplify q**7/q*q*q/(q*q**(-7/3)/q*q)*(q*q**(1/9))/q*q**(-1/3) assuming q is positive.
q**(82/9)
Simplify ((m**11/(m*m/(m/((m/m**(-1/13))/m))))/((m/(m**(1/5)/m*m*m*m*m*m))/(m/(m/m**(-5/7))*m)))**(-11/4) assuming m is positive.
m**(-67111/1820)
Simplify (y**(-15)*y**(-17))/(y**8)**(16/5) assuming y is positive.
y**(-288/5)
Simplify (b*((b/(b*b*b/b**12))/b*b)/b*b)/b*b*b*b**2*b**(1/6)*b*b/(b/(b*(b**11/b)/b*b*b)) assuming b is positive.
b**(163/6)
Simplify ((r**(2/5)/r*r)**(-1/10)*r**(-1)*r/r**(1/5))**(-24) assuming r is positive.
r**(144/25)
Simplify (z**12*z*z**(6/5))/(z**0*z**(-2/9)) assuming z is positive.
z**(649/45)
Simplify (p**(1/3)/p**(-2/3))**3 assuming p is positive.
p**3
Simplify ((j**(7/2)*j**(2/5))/(j**(-1/2))**(-3/23))**36 assuming j is positive.
j**(15876/115)
Simplify n*n**(-3/8)*(n/(n*(n*n/(n*n**(-2/79)/n))/n))/n*n**(4/3)/(n/(n*n**(3/28))) assuming n is positive.
n**(533/13272)
Simplify r**(-3)/(r*r*r/((r**(-3/5)*r)/r))*((r*r/(r/((r/(r*(r**(10/3)/r)/r*r)*r)/r))*r)/r)/(r/r**(-2/11)) assuming r is positive.
r**(-1504/165)
Simplify (((r**5*r)/r)/(r*r*r*r**(-3/14)/r*r*r*r))/(((r*r/(r/r**(-5/7)))/r*r)/((r/r**7)/r)) assuming r is positive.
r**(-99/14)
Simplify ((q*q**(-16)*q)/(q*q**(-1/38)))**(-14) assuming q is positive.
q**(3983/19)
Simplify (t*t**(9/5)*t)**20/((t*t**14/t)/t)**23 assuming t is positive.
t**(-223)
Simplify q**(-7)/(((q**8/q)/q)/q)*q**(-4/7)/q**(-1/3) assuming q is positive.
q**(-257/21)
Simplify (a**6)**29/(a**(-3/4))**(-46) assuming a is positive.
a**(279/2)
Simplify (j**(2/13))**31*(j**(1/5))**(1/4) assuming j is positive.
j**(1253/260)
Simplify (d/(d**(-9)/d))/(d/(d/d**(2/9)))*(d/(d/d**2)*d)**(5/8) assuming d is positive.
d**(911/72)
Simplify (c**(3/5)*c)**(-14/15)*(c/((c*c**(-15)*c)/c))/c**(-2/17) assuming c is positive.
c**(17371/1275)
Simplify (i**(-8)/(i/i**(-34)))**(-23) assuming i is positive.
i**989
Simplify (g**(2/13)/g*g)**(-33)*g/((g/g**(1/2))/g)*g/((g**(5/4)*g)/g) assuming g is positive.
g**(-199/52)
Simplify (q/q**(-2/31)*q*((q*q**(1/8))/q)/q)/(q**(3/5)/(q/(q*q**20*q*q)*q)) assuming q is positive.
q**(-25309/1240)
Simplify (p**(-1/3))**(7/5)/(p*p**(-2/33)*p*p*p/(p*p**(-2/9))*p) assuming p is positive.
p**(-2291/495)
Simplify ((i/(i**31*i*i))/i**(2/5))/(i**(-15))**(11/4) assuming i is positive.
i**(177/20)
Simplify ((f*f*f**(1/2))**16*(f*(f*f/(f**(1/2)*f))/f*f)**(1/21))**(8/7) assuming f is positive.
f**(2244/49)
Simplify ((i**(-30)*i/(i*i**(-29)))**(2/51))**(2/29) assuming i is positive.
i**(-4/1479)
Simplify (k**(-13)/(k*k/(k*k**18*k*k)))/(k**(-3)/k**(8/7)) assuming k is positive.
k**(71/7)
Simplify (n**(-7/4)*n)/n*n*n**(-9)/n*(n**(5/4)/n)/n*n/(n*n**2/n)*n assuming n is positive.
n**(-23/2)
Simplify w**(7/4)*w**9*w**13/w**(-6) assuming w is positive.
w**(119/4)
Simplify n**8/(n*n**(2/23))*(n**(-6)/n)**39 assuming n is positive.
n**(-6120/23)
Simplify (m**5/m**(-1/2)*m**(-3/4)*m**(-1/2))**(1/4) assuming m is positive.
m**(17/16)
Simplify (a**13/(a**(-18)*a))/(a*a*a/(a*a/(a/(a/a**(-2)))*a)*a*a/(a**(-1/8)/a)) assuming a is positive.
a**(231/8)
Simplify (((n**(3/10))**(-12))**(-9))**(-4/11) assuming n is positive.
n**(-648/55)
Simplify (h*h**(-8)/h)/h**(2/3)*(((h*h*h**(-1))/h)/h)**(-1) assuming h is positive.
h**(-23/3)
Simplify n**31*n/n**(14/9)*((n/n**(-3))/n)**(-9/7) assuming n is positive.
n**(1675/63)
Simplify (q*q**(-1/8)/q*q)**1*q*q*q*q**(-4)*q*q*q**(-18)*q assuming q is positive.
q**(-121/8)
Simplify (m**5/m)**(-50)/(m*(m/m**6)/m*m)**(-33) assuming m is positive.
m**(-332)
Simplify ((q/((q/((q/((q*q**(-2/85))/q))/q))/q))/(q**14/q))**11 assuming q is positive.
q**(-11198/85)
Simplify ((r**3*r)/r*r**(-1/15))/((r/r**(-2/17))/(r*r**(-6/7))) assuming r is positive.
r**(3496/1785)
Simplify (p**0)**39*(p**(-16/9)/p)/p**(3/13) assuming p is positive.
p**(-352/117)
Simplify g**2*g*g*g**(-10)/g*(g**(-2))**(-7/4) assuming g is positive.
g**(-7/2)
Simplify x**(-27)*x**(-9)/x*x**(1/2)/x*x**(-15/8) assuming x is positive.
x**(-315/8)
Simplify (z*z/(z*z*z/z**(-2/13)))**(-3/20)/(z**(20/3)*z*(z/(z**(-12/7)/z))/z*z) assuming z is positive.
z**(-12239/1092)
Simplify ((k**(-2/9))**(-48)*(k*k**(-2/3)/k)**(2/33))**(-4) assuming k is positive.
k**(-4208/99)
Simplify ((z*z**(1/4)/z)**47*(z**(-2/7))**17)**(-25) assuming z is positive.
z**(-4825/28)
Simplify (c**(-4/9)*c*c**(3/2)*c*c**(-8)*c/(c*c/(c/c**(2/19))))**(5/9) assuming c is positive.
c**(-8635/3078)
Simplify (s/s**(3/5)*s**16)**(4/7) assuming s is positive.
s**(328/35)
Simplify (o**(-15)*o*o**(-14)*o*o)/((o**(-4/3)/o)/(o*o/((o**(-23)/o)/o*o)*o)) assuming o is positive.
o**(10/3)
Simplify ((y*y**(-1))**(-41)*(y*y**(1/4)*y)**(36/5))**(-3/22) assuming y is positive.
y**(-243/110)
Simplify ((a/(a*(a*a**(-2/23))/a*a))/a*a**9)**(-37) assuming a is positive.
a**(-6031/23)
Simplify h**(-1/4)*h*(h/h**(-10))/h*h**(-1)/(h/h**(-3)) assuming h is positive.
h**(23/4)
Simplify ((v**7*v)/(v*v/v**(3/7)))/(v**(-5)/(v**(1/5)*v)) assuming v is positive.
v**(442/35)
Simplify ((j**7/(j*(j**0*j)/j))/(j**1*j/j**(4/5)))**(-2/51) assuming j is positive.
j**(-16/85)
Simplify (s*s*s*s/(((s*s**0)/s)/s*s))**(-27)*s**(-2)/(s/(s/(s/(s**14/s)))) assuming s is positive.
s**(-98)
Simplify ((j*j**(-4/7)*j)/(j/(j/(j*j**(-5)*j)))*(j**(2/17)*j)/(j*(j**(1/18)/j)/j*j))**(-45) assuming j is positive.
j**(-58805/238)
Simplify (h**(-9/7)/(h**23/h))/(h/(h/(h/(h/h**(-3/2)*h))))**(2/135) assuming h is positive.
h**(-4394/189)
Simplify (c/(c*c**12*c)*(c*(c/((c*c/(c*(c/(c*c**(-1/6)*c*c*c*c))/c))/c))/c*c)/c*c)/((c**0*c)/(c*c*c**(-2/11))) assuming c is positive.
c**(-991/66)
Simplify ((s/s**21*s)**(1/31))**(-29) assuming s is positive.
s**(551/31)
Simplify (b*b/(b**(-8)/b))**(-49)*b**(-27)*b**(-7/5) assuming b is positive.
b**(-2837/5)
Simplify ((s**(-3)/s)/(s/(s**(-6)*s)))/(s**(-1/14)*s**(-13/5)*s) assuming s is positive.
s**(-583/70)
Simplify (h*h**(-3))**(9/10)/((h*h*h*h**2*h)/((h**(2/11)*h)/h*h)) assuming h is positive.
h**(-364/55)
Simplify (((((a**(10/3)*a)/a)/a)/a**(-2/13))**(-10))**(4/19) assuming a is positive.
a**(-3880/741)
Simplify (p**(3/4)/p)/p*(p/(p**(-5)*p))/p*p*(p**(-4))**40 assuming p is positive.
p**(-625/4)
Simplify (a**(-5)*a/a**(-8))**(1/50) assuming a is positive.
a**(2/25)
Simplify ((v**(-4/7)/v)/v)**8/((v*((v/(v**1/v))/v)/v)/v)**(-10) assuming v is positive.
v**(-214/7)
Simplify (u/u**(-1/26)*u**(-2/31))**(-28) assuming u is positive.
u**(-10990/403)
Simplify (u/(u/(u**14/u)*u))**(1/54)*u*u*u*u/(u*u**(-3/5))*u/((u/((u/(u/u**(-4/5)))/u))/u)*u assuming u is positive.
u**(181/45)
Simplify (q**(-6/13)*q*q)/(q/((q*q/(q/(q*q*q**(10/9))*q))/q))*(q**(4/9)*q)**(-13/4) assuming q is positive.
q**(-319/156)
Simplify (s*s*s*s**(-6))**(2/3)*((s/(s*s**8))/s)/(s*s**(-7/3)) assuming s is positive.
s**(-29/3)
Simplify (k*k/(k/k**2*k))**(-1/47)*k**9*k/(k*k/((k*k*k**13)/k*k*k)) assuming k is positive.
k**(1126/47)
Simplify ((w*w**22)**(-45))**(1/12) assuming w is positive.
w**(-345/4)
Simplify ((p/(p/((p**(-9/4)*p*p)/p*p)))/p*p)/(p/(p*p**(-4))*p)*p/p**(-1/6)*p*((p/(p*p**5))/p)/p assuming p is positive.
p**(-121/12)
Simp
|
{
"pile_set_name": "DM Mathematics"
}
|
f t**5/30 + t**4/6 - t**3 - 11*t**2 + 3. Let r be d(6). Suppose -p = 5*p - r. Solve 6*h = h + p for h.
3
Suppose -44*j + 179 = -43*j. Let p = j + -175. Solve 7*g - 5*g = p for g.
2
Let a(l) be the third derivative of -37*l**6/120 + l**5/30 - 5*l**4/24 + l**3/2 + 31*l**2. Let b be a(1). Let n = -35 - b. Solve -2*p - 6 = -n for p.
-2
Let n be (3/(5 + 1))/(2/24). Let q be (-352)/(-20) + n/15. Suppose 196*o - 195*o = q. Solve -5*b - 2 = o for b.
-4
Suppose 0 = -4*s + t + 53 + 275, 3*s = t + 244. Solve 44 = s*j - 95*j for j.
-4
Let a = 155 - 157. Let x be (a/(-6))/(5/15) - -1. Solve 0 = -x*s - 3*s - 10 for s.
-2
Suppose 27*i - 18*i - 162 = 0. Let h(s) = s**2 - 13*s - 87. Let j be h(i). Solve -j*o - 12 = -3 for o.
-3
Let x(c) be the second derivative of c**4/6 + 53*c**3/6 - 11*c**2 + 2*c + 3. Let u be x(-27). Solve 0*d = u*d for d.
0
Suppose 1552 = -16*z + 1616. Solve -87 = -z*v - 99 for v.
-3
Let m(x) = -x**3 - 20*x**2 - 19*x - 2. Let y be m(-19). Let u be y - ((-8)/2 - -2). Let b be u - -2 - ((-10)/2 + 5). Solve b*r - 6 = 5*r for r.
-2
Let m(x) = 31*x + 270. Let j(p) = -47*p - 405. Let f(b) = -5*j(b) - 7*m(b). Let a be f(-7). Solve 0 = -3*q + a for q.
3
Let v(u) = -u**3 - 7*u**2 + 6*u - 4. Let p be v(-6). Suppose -2112 = 1387*c - 1365*c. Let l = p - c. Solve a - l = -3*a for a.
5
Suppose 62*s - 60*s = -5*u - 10, 0 = 3*s - 2*u - 42. Solve 24 = -7*j + s for j.
-2
Suppose 28*f - 33*f = -33*f + 616. Solve 6*o = f*o - 96 for o.
6
Let p = 16336 - 16336. Solve p = -51*w + 60*w + 18 for w.
-2
Let d(x) = -x**2 + 4*x - 5. Let r be d(2). Let b be (-954)/(-117) - (4/(-26))/r. Solve 2 = 2*s - b for s.
5
Let d = 1686 - 1655. Solve 14*l + d = -11 for l.
-3
Let n = 23373 - 23333. Solve 42*l = -n*l + 72*l for l.
0
Let d = 4607 + -4597. Solve 10*n + 30 - d = 0 for n.
-2
Let r(t) = 55*t**2 - t - 9. Let u be r(-3). Suppose -3*s = 438 - u. Solve 0 = 5*k - 42 + s for k.
5
Let b be (-1224)/17*(-3 + 3 + -2). Let q be (6/(-8))/((-54)/b). Solve -3*y = -0*y + q*y for y.
0
Let t(w) = w**2 - w + 1. Let p(g) = 9*g**2 + 37*g + 16. Let j(b) = -p(b) + 6*t(b). Let o be j(-14). Let h be ((-4)/(-18))/(3/27). Solve 0*l - h*l + o = 0 for l.
2
Let a(g) = g**3 - 11*g**2 + 18*g + 12. Let s be 6/33 - (-356)/(-22). Let m be (-3)/(-12) + (-140)/s. Let w be a(m). Solve -w - 8 = 5*q for q.
-4
Let s(g) be the third derivative of -7*g**3 + 0 + 7/12*g**4 - g**2 - 1/60*g**5 + 0*g. Let m be s(9). Solve -17 - m = 4*h for h.
-5
Let f(s) = -s**3 - 8*s - 9. Let x be f(0). Let z be 6/x*-9 - 1*-2. Suppose 24 = 6*a - 0*a. Solve a*r + 12 = z*r for r.
3
Let k be (39 + -1)/1 + 79/((-2449)/(-248)). Solve -k*x + 25 = -113 for x.
3
Let y be (-12)/(-9)*(-7 + -8). Let l = y - -23. Suppose 0 = -r + 3*j + 7, 0*r + 4*r - l*j = 10. Solve w - r = 2*w for w.
-1
Let q = -1101 - -1127. Solve -14 = -12*j + q*j for j.
-1
Let r = -513 + 520. Suppose -y + 11 = -d + r, 0 = -y - d + 4. Solve -8 = y*p + 12 for p.
-5
Let s(p) = p + 11. Let x be s(-3). Suppose 0 = 5*r - x*r + 30. Solve -3*o = 1 - r for o.
3
Let t be (0*(-6)/36)/(25 + -24). Suppose 5*o = -5*c + 20, -5*o + 4 + 7 = -4*c. Solve t = r + c for r.
-1
Let p be 4/10 + 348/(-20). Let a = p + 24. Suppose -d - 21 = 3*n, -3*n - 33 = -5*d - 12. Solve d = -2*c + a*c for c.
0
Let z(m) = 17*m**2 + 114*m + 4. Let o be z(-11). Solve 8*r - 759 = -o for r.
-6
Suppose -18 = -5*q - 3*k, -2*k - 13 = 2*q - 21. Suppose 3*m + q + 2 = 2*z, 0 = 4*z + 2*m - 18. Solve -l = -z*l - 9 for l.
-3
Let k(b) = 22 + 34*b + 29*b + 24*b - 85*b. Let f = -16 + 6. Let q be k(f). Solve 6 = q*z - 5*z for z.
-2
Let p(t) = 2*t**3 - 9*t**2 + 16*t - 48. Let w be p(4). Solve w = 2*x + 136 - 150 for x.
7
Suppose 3*n + 14 - 26 = 0. Let z(o) = 2*o**2 + 54*o + 197. Let i be z(-4). Solve -i = 17*c - n*c for c.
-1
Suppose -5*q + 5 = -5*b, 31*b - 3 = q + 34*b. Solve x + 3*x + 7*x = q for x.
0
Let x(g) = 7*g - 88. Let s be x(13). Suppose s*n + 21 = 6*n. Solve n*v = -21 - 0 for v.
-3
Let l(b) = -285*b - 518. Let z be l(-2). Solve -z = 8*f - 21*f for f.
4
Suppose -33 = -14*v + 3*v. Suppose -3 = -v*x + 6. Suppose -x*z = -6*z + 6. Solve -3 = 3*q - z*q for q.
-3
Suppose -21*s = -510 - 582. Solve -53*n + s*n = -4 for n.
4
Let b(s) = s + 1. Let p(f) = 2*f + 80. Suppose 15 = -4*o + 4*r + 3, -o = -5*r + 19. Let n(q) = o*p(q) + b(q). Let c be n(-24). Solve 3*m = -0 + c for m.
3
Let g = 13776 - 13638. Solve -23*r + 69*r - g = 0 for r.
3
Suppose 5*z + 19 - 3 = 2*m, 2*z + 4*m = 32. Solve -12*t + 435 - 399 = z for t.
3
Suppose 17*l = 15*l + 8. Suppose 6*a - 68 = l. Solve -2*r = r + a for r.
-4
Let g = -45 + 34. Let f be -7 - g - ((-26)/1 - 0). Suppose -f = -5*m + 5*h, -3*h - 17 = -4*m - 6*h. Solve 3*i + 7 = -m for i.
-4
Let u(w) = -w**3 - 2*w**2 - 2*w - 3. Let k be u(-3). Suppose -3*o - 10 = -34. Suppose o*q - k = 2*q. Solve -10 = -q*x + 4*x for x.
-5
Let l = -8655 + 8657. Let g = 12 - 8. Suppose 0*w - g*d = -5*w + 14, l*w = -2*d + 20. Solve -3*x + 0*x - w = 0 for x.
-2
Suppose -d = -2*p - 196, -3*p = -4*p - 5*d - 120. Let o be ((-9)/(-5) - 1)/((-10)/p). Let y = -6 + 8. Solve -y*a = -0*a + o for a.
-4
Let h(b) = 5*b - 52. Let t be h(14). Suppose 11*w = t*w - 28. Solve w*o - 4 = 16 for o.
5
Let a be 2*-5*(-5 - 72/(-16)). Let r be 19/a + 180/150. Solve 6*s = -7 - r for s.
-2
Let d(o) = -4*o**3 + 8*o**2 + 5*o - 17. Let i(v) = 5*v**3 - 9*v**2 - 4*v + 18. Let t(a) = -4*d(a) - 3*i(a). Let l be t(6). Solve -l - 1 = -f for f.
3
Let q(u) = -u**3 + 14*u**2 - 13*u + 3. Let p = 33 + -20. Let y be q(p). Let k(n) = 2*n**2 + 15*n - 17. Let r be k(1). Solve -v + y*v = r for v.
0
Let x be (-720)/96*((-4)/(-6) + -2). Suppose 23*j - 442 = x*j. Solve 26 - j = 4*o for o.
-2
Let d(v) = 17*v + 922. Let f be d(-53). Solve 9*a + f - 3 = 0 for a.
-2
Suppose 0 = 2*z + 3*z - 2*n - 31, 5*z - 28 = n. Solve -z*h = -37*h - 128 for h.
-4
Suppose l - 115 = -91. Suppose -340 = -l*v + 7*v. Solve -8*a - v = -52 for a.
4
Suppose 1295 = 34*b + b. Suppose b*c + 200 = 607. Solve -5*r = -c - 14 for r.
5
Let w(q) = -4*q + 30. Let u be w(-9). Suppose 8*h = 5*h + u. Suppose 5*a - h - 18 = -4*p, -3*a = -2*p + 20. Solve 0 = r + r + p for r.
-5
Let f be (-44770)/(-666) - (-2)/(-9). Solve 34*s - f = 35 for s.
3
Let n = -25 - -31. Let z(b) = -n - b - 3 + 15 - 7. Let f be z(-3). Solve -5*t + f*t - 3 = 0 for t.
-1
Suppose 36 = 4*u - 0*z + 3*z, -8 = 2*z. Suppose -2*p + 3*n + 9 = -8, 3*p + u = -3*n. Solve -t - p + 0 = 0 for t.
-1
Suppose 0 = -2*o + 8 + 6. Suppose -5*b + 14*r + 20 = 9*r, 4*b - 15 = 5*r. Suppose -x - q = 4*q + b, 5*q = -10. Solve -o = -x*t + 3 for t.
2
Let l(f) = -f**3 + 6*f**2 + 10*f + 3. Let j be l(7). Suppose -188 = -26*k - 32. Suppose 2*y = j + k. Solve 4*n + y - 3 = 0 for n.
-3
Suppose 5*t = 8*t - 3. Suppose 3*h = -3*g + 3, -g + h = -4*g + t. Let n be (-8)/((-40)/15) - g. Solve n*u = -0*u - 3 for u.
-1
Let f(a) = 3*a + 20. Suppose 21 = 4*u - 5*y - 128, -u + 2*y = -38. Suppose u*h - 12 = 39*h. Let z be f(h). Solve -2*i = z - 2 for i.
-3
Let w = 1 - 71. Let q be (7/2 - 1)*(-168)/w. Suppose 5*y - 4*o = 29 + 5, 2*y = -o + 24. Solve -f = -q*f + y for f.
2
Let c(l) = l**3 + 7*l**2 + 34*l - 206. Let b be c(5). Solve -b*w = -269*w - 15 for w.
-3
Let d = -11978 - -12001. Solve d*n - 762 + 670 = 0 for n.
4
Let q(g) = 3*g + 2. Let p be q(-10). Let s = -10 - p. Let y be (-15)/(-10)*(-8)/s*-3. Solve -y*l - l - 6 = 0 for l.
-2
Let r(y) = -11*y**2 - 4*y - 2. Let t be r(-4). Let f = 190 + t. Solve 0 = 7*d - f - 0 for d.
4
Suppose 19*r = 15*r. Let z(m) = -7*m**2 + 163*m - 44. Let n be z(23). Solve n*s - s + 2 = r for s.
-2
Let a(y) = 2*y**2 - 26*y - 29. Let l be a(12). Let g = l - -59. Solve g*u - 11*u = 15 for u.
-3
Suppose 113*v = 116*v - 723. Let a = v + -236. Solve 6*q - a*q - 3 = 0 for q.
3
Let x(g) = 8*g**2 + 4*g + 4. Let c be x(-1). Let o(v) = -v + 8. Let k be o(c). Solve k = 3*b - 11 + 14 for b.
-1
Let q be -4*7/56*10. Let a be (20/(-14))/(q + (-102)/(-21)). Solve -a*n = -8*n for n.
0
Let r be (-3)/(46/(-40) + 1). Let k be (0/14)/(19 + -18). Solve 3*w + w - r = k for w.
5
Let s be 72/(-45) - 6/(-10) - -3. Let c be s/10*-3 - (-552)/120. Solve -c*u - 2 = -10 for u.
2
Let s(q) = 2*q**2 + 258*q - 908. Let x be s(-133). Solve -x = 100*i - 74*i for i.
-6
Suppose -5*h + 3*m - 404 = 0, h + 254 = -2*h - 4*m. Let r be (h/(-8))/(8/(-32)). Let v = r + 56. Solve 5*y + v = -0 for y.
-3
|
{
"pile_set_name": "DM Mathematics"
}
|
65 = 33. Suppose -296 = -g*q + 5*v, -v = 2*q + 11 - 283. Does 69 divide q?
True
Let l be 20/3 + 4*4/(-24). Suppose 0 = u + l*u. Suppose u = -2*i + n + 39, 0*n - 39 = -3*i - 5*n. Is i a multiple of 6?
True
Let m = -5 - -8. Suppose 107*n - 114*n = -21. Suppose 0 = -n*d - 12, -m*y + 2*d = -d - 84. Is 22 a factor of y?
False
Let b = 10 + -33. Let l be 1 + -1 + (154/(-22))/(-7). Is l*b/3*(-18)/6 a multiple of 13?
False
Suppose -6974*h = -6979*h + 99675. Is h a multiple of 15?
True
Is (15/6 - 889/14*-145) + 1 a multiple of 151?
True
Suppose -20*i + 36*i = 18848. Is 19 a factor of i?
True
Suppose -188782 = -2061*w + 2057*w - 2*z, 5*z + 47212 = w. Is w a multiple of 56?
False
Let x(q) = q**3 + 23*q**2 - 26*q - 53. Let t(f) = -4*f**3 - 70*f**2 + 78*f + 161. Let d(u) = -2*t(u) - 7*x(u). Does 35 divide d(21)?
True
Is 9 a factor of 624/572 + 985862/22?
False
Is 13 a factor of ((-893)/94 - -6)*(60400/(-14))/2?
False
Suppose 244*t = -2*q + 245*t + 2766, -q + 3*t + 1388 = 0. Does 44 divide q?
False
Let y(a) be the third derivative of -a**5/30 - a**4/8 - 7*a**3/2 - 21*a**2. Let m be y(-5). Let t = m - -107. Is t a multiple of 5?
False
Let r(u) = 24*u - 28. Is r(17) a multiple of 115?
False
Suppose 0 = -3*m - 5*k - 383, 8*k - 11*k = 2*m + 255. Suppose f = 2*l - 94, -4*f + 5*l - 132 = 259. Let r = f - m. Is r a multiple of 11?
True
Suppose -4*c - 2*q + 28 = 0, 0 = 4*c - 3*q - 10 - 18. Suppose 10*o - 3 = c*o, 0 = -h - 3*o + 6. Does 2 divide h?
False
Suppose -47240 = -40*b - 5015 - 2425. Is b a multiple of 25?
False
Let x = 569 + -577. Let u(l) = -l**3 - 3*l**2 - 4*l - 16. Does 7 divide u(x)?
True
Suppose -5386 = 44*d - 54*d - 116. Is 110 a factor of d?
False
Let l = 502 + -258. Suppose -7*c - 183 = l. Let d = 112 + c. Is d a multiple of 12?
False
Suppose -19102 = -2*q + 4*d, 2*d + 7 - 19 = 0. Does 2 divide q?
False
Let t(b) = -b**2 - b. Let j be t(0). Let s(h) = 290 + h - h**3 + j*h**3 - h + 2*h. Is s(0) a multiple of 18?
False
Suppose 0 = -108*l - 65*l + 123*l + 317500. Is l a multiple of 4?
False
Let n(w) = -w**3 - 65*w**2 + 19*w - 939. Is n(-66) a multiple of 3?
True
Let j = 2156 - 1400. Suppose -8*p + 9*p - j = 0. Is 12 a factor of p?
True
Suppose -2*m = -3*c + 17, -4*c = -m + c + 9. Is (-6452)/m + -2 + 7/4 a multiple of 47?
False
Let k(a) = 5*a**2 + 0 + 5*a + a + 2. Let c be 2*(-15)/10*1. Is 12 a factor of k(c)?
False
Let t(p) = -p**3 + 5*p**2 - 6*p + 11. Let v be t(4). Suppose v*b - x = 1313, -8*x + 10*x + 10 = 0. Is 4 a factor of b?
True
Let o(x) be the third derivative of -x**6/120 - x**5/5 - 25*x**4/24 + x**3 - x**2 + 24*x. Is 51 a factor of o(-12)?
True
Let j(v) = 2*v - 46. Let i be j(27). Does 54 divide -1*(-5)/20 - (-2670)/i?
False
Let r be (8/10)/(-4)*0. Suppose 33*c - 2390 - 3583 = r. Is 4 a factor of c?
False
Let g(q) = 4633 + q - 4666 - 5*q. Suppose 5*a + 2 = -4*b - 40, -5*a + 2*b - 54 = 0. Is 5 a factor of g(a)?
False
Let u = -537 + 548. Let k(j) = 7*j**2 + 9*j - 25. Does 35 divide k(u)?
False
Suppose -w - 6*w = -2128. Is (36/(-16))/((-12)/w) a multiple of 19?
True
Let u(m) = 9*m - 68. Let d be u(8). Suppose 5*l - d*l = 294. Does 14 divide l?
True
Let v be 8/(-44) + 13262/(-22). Let w = 734 + v. Is w a multiple of 11?
False
Is 39 a factor of ((-61)/2)/(30/(-4380))?
False
Suppose -564*r - 47980 = -584*r. Is r a multiple of 27?
False
Suppose -2*p = -2*j + 364 - 2682, 4*p + 5*j - 4600 = 0. Is p a multiple of 11?
True
Let m(s) = -103*s + 7. Let i = -32 + 34. Let j be m(i). Does 22 divide j/(-3) - 1/3?
True
Suppose 113*h - 4798880 = 370079. Is 15 a factor of h?
False
Let w(h) = h + 13. Let u be w(-4). Let p be (-1 + 34/4)/(u/12). Suppose 512 = 18*k - p*k. Does 8 divide k?
True
Suppose -22 = 2*w - 2*k, -2*k = -w - 0*w - 8. Let j(b) = 12*b - 5 - 26 + 57*b - 84*b. Is j(w) a multiple of 21?
False
Let w(s) = 10772*s**2 + 139*s + 140. Does 27 divide w(-1)?
True
Let l = -394 - 116. Let p be l*(16/(-10))/4. Does 3 divide (1 - 1/3)/(4/p)?
False
Let i be 2 + 2 - (1 - 4). Suppose 3*c + i*c = 4840. Let t = c - 296. Does 14 divide t?
False
Let j(c) = c**2 + 11*c + 6. Let w(p) = 2. Let v(a) = -j(a) + 6*w(a). Does 12 divide v(-9)?
True
Suppose -3*l + 10*l - 560 = 0. Let p = 230 + l. Is p a multiple of 31?
True
Let o(a) = a**3 + a**2 - 23*a - 19. Let s be o(-5). Does 16 divide (14/(-5))/(s*4/4960)?
False
Let v(t) = t**3 + 36*t**2 + 28*t - 8. Does 6 divide v(-26)?
True
Let w(l) = 2*l + 1. Let g(j) = -11*j - 33. Let p(s) = g(s) - 3*w(s). Is 33 a factor of p(-10)?
False
Let d(u) = -5*u + 65. Let j be d(13). Suppose j = 13*a - 2*a - 1474. Is 10 a factor of a?
False
Suppose -4*a - a - 3*z = -46, -4*a - 5*z + 42 = 0. Let k(c) = 3*c**2 + 2*c - 30. Let p be k(a). Let i = p - 90. Does 17 divide i?
False
Let m(j) = -j**2 + 4*j + 6. Suppose 0 = 3*x - 3*n + 21, -5*x + 1 - 36 = -3*n. Let s be m(x). Let l = 60 - s. Is l a multiple of 43?
False
Let z be -7*1 - (-19 + 15). Let v = z + 5. Is 14 a factor of 74 + v + 0 + 1?
False
Let m(b) = b**2 + 22*b + 105. Let r be m(-6). Suppose -11*y + 15580 = r*y. Does 8 divide y?
False
Suppose -2220596 = -52*t - 292*t + 60*t. Is 7 a factor of t?
True
Is 3/8 - (91 + -89 + 129549/(-8)) a multiple of 130?
False
Suppose 100*i - 102*i - 4374 = -5*z, 4*z - 4372 = 2*i. Let s = -1226 - i. Is 66 a factor of s?
False
Suppose 337*i - 342*i + 4994 = -a, -4*a - 1976 = -2*i. Is i a multiple of 8?
True
Let a(i) = i**3 - 15*i**2 - i + 19. Let g be a(15). Let t be g/(-28) + (3693/(-21) - -1). Let q = 85 - t. Does 20 divide q?
True
Let o(r) = -51*r**3 + 39*r**2 + 49*r + 42. Is o(-6) a multiple of 104?
True
Does 5 divide ((-1)/(-30) + (-4)/(-24))*12085?
False
Suppose -4*t = 3*q + 4, 11*q - 6*q + 15 = -5*t. Does 9 divide (-4)/(-3) + q + (-2853)/(-27)?
True
Let t = 9544 + -2105. Is t a multiple of 17?
False
Let h(t) = 25*t - 87. Let k be h(-36). Is 11 a factor of k/(-6) + ((-7)/(-2) - 3)?
True
Suppose -64*n + 311564 = -21*n + 30*n. Is n a multiple of 97?
True
Let d be ((-40)/(-6) + 0)*(-264)/20. Let t = d - -250. Does 27 divide t?
True
Let f be (9/2 + -4)*4. Suppose 5*o - 334 = -b, 3*b = 2*o + f*b - 128. Let z = o - 45. Is z a multiple of 9?
False
Let a = 175 + -168. Suppose 4*z = 5*q - 2183, a*q - 2*z - 1311 = 4*q. Is q a multiple of 58?
False
Let q(n) = n**3 + 13*n**2 - n + 8. Let g be q(-13). Suppose 5*o = 3*w + 91, g = -4*o + 5*o - 2*w. Is 2 a factor of o?
False
Let p be (-1)/(-2) + 3*1/2. Suppose -80 = -3*a - p*a. Is 16 a factor of 1 + (3 - a)*-3?
False
Let b = -12 - -6. Let j be (-4)/(-12) - 10/b - -28. Let t = 65 + j. Is t a multiple of 22?
False
Suppose -4*k + 4170 = 2*a, 2075 = a - 4*k + k. Does 87 divide a?
False
Let v(o) = o**3 + 7*o**2 - 23*o - 41. Let p be v(-9). Suppose -3*h - 3*i = -894, 353 = h - p*i + 55. Does 9 divide h?
False
Suppose -105 = 46*n - 11*n. Is 47 a factor of (-47)/1*(1 + -8 + n)?
True
Suppose 241500 = 292*l - 269*l. Is 100 a factor of l?
True
Suppose -5*n + 13661 + 4616 = 3*a, 0 = -4*a + n + 24377. Does 22 divide a?
True
Suppose 1088 = f - 3*i, -i + 6*i - 10 = 0. Let l = 3018 - f. Is l a multiple of 27?
False
Let b(j) = j**2 + 16*j - 47. Let l be b(-22). Suppose -l*a - 7380 = -95*a. Is a a multiple of 18?
True
Let t(j) = -2*j**2 - 22*j + 28. Let o be t(-12). Let q(u) = 60*u + 14. Let g be q(o). Suppose 2*n - 18 = g. Is n a multiple of 34?
True
Suppose 2 = 3*x - 4. Suppose 0 = x*q - 10*s + 5*s - 21, 4*q = 2*s + 18. Does 8 divide q*(-22)/(-3) - -1?
False
Let h(z) = 3*z + 110. Let l be h(-35). Suppose -165 = -l*c + 4*c. Is 55 a factor of c?
True
Let y be (-63)/12 - (-2)/8. Let v(i) = -18*i**3 - 6*i**2 - 3*i - 5. Let u be v(y). Is u/25 - -5 - (-2)/(-5) a multiple of 8?
False
Let v = -90 - -308. Is (-14)/((-112)/24) + v/2 a multiple of 5?
False
Suppose -2*q + 36 = -2*l - 5*q, -2*l = 4*q + 36. Is 4/l + (-1 - 389/(-9)) a multiple of 11?
False
Suppose -15*h + 19*h - 3886 = -5*l, 5*h + 5*l - 4860 = 0. Is h a multiple of 9?
False
Let x be -95 + -4 + 1/((-3)/(-18)). Let o = x + 96. Is ((-8)/o + -1)/(18/(-162)) a multiple of 25?
False
Suppose 0 = 2*m - o - 5627, 3*m - 9868 = 2*o - 1430. Does 11 divide m?
True
Suppose -2*i = -x + 5860, 0 = -2*x + 5*i - 0*i + 11714. Is x a multiple of 140?
False
Does 14 divide (-60)/160 + -17103*21/(-72) + -4?
True
Let m(d) = 220*d**2 + d + 4. Let t be ((-18)/(-9))/8 - (-9)/(-4). Is m(t) a multiple of 63?
Tru
|
{
"pile_set_name": "DM Mathematics"
}
|
3)/u + (-12)/6. What is the biggest value in n, m, 2/5?
n
Let q = 0.01 + 1.99. Let u(h) = h**3 + 6*h**2 + 5*h - 1. Let w be u(-5). Let l = -15.6 - -16. Which is the second smallest value? (a) q (b) w (c) l
c
Let h = -304 - -904/3. What is the third smallest value in h, 1, 0.4?
1
Let a = -0.29 + 5.29. What is the third biggest value in 1, a, -1/2?
-1/2
Let f = -6.19 - -0.19. Let g = -7 - f. Which is the third biggest value? (a) -0.06 (b) g (c) 0.4
b
Let j = -4 + -3. Let l = j - -7. Which is the smallest value? (a) -2/3 (b) l (c) 1/4
a
Let i = 0.77 + -0.9. Let t = i + -0.07. Which is the third smallest value? (a) 0.1 (b) -1/12 (c) t
a
Let i = -314 + 310. Let o = -2 + 6. Which is the biggest value? (a) 2/5 (b) o (c) i
b
Let i be (8/6)/((-2)/3). Let l = -0.5 + 0. What is the biggest value in i, l, 0?
0
Suppose o + 0 = -3*j - 9, 3*o - 4*j = -1. Which is the second smallest value? (a) -0.1 (b) o (c) 4 (d) -0.5
d
Suppose -19*v + 60 = -7*v. Let u(y) = y**2 - 3*y. Let r be u(3). Let x = r - 0. Which is the second smallest value? (a) -1/2 (b) x (c) v
b
Suppose 5 = 2*t + 1. Let j = 4.4 + -0.4. Let r = -603/5 - -121. What is the second smallest value in j, t, r?
t
Let h = 2084/57 - 110/3. Let x = -0.3 + 0.3. What is the biggest value in h, x, -2/15?
x
Let f = 22.2 + -22. What is the third biggest value in -1, f, -3/23?
-1
Let p be (1 - 0) + (-3)/5. Let a = 107 + -112. What is the biggest value in a, -1, p?
p
Let k = 4 - 13/3. Let i = -2/21 + k. Let g(t) = 5*t - 3. Let y be g(1). What is the third smallest value in i, 5, y?
5
Let n = 1/155 + 6/31. Let y be 63060/(-432) + (-1)/4. Let z = y - -146. Which is the third biggest value? (a) z (b) n (c) 3
a
Let q = -53 + 53.4. Let p(u) = -u**3 + 7*u**2 - 7*u + 2. Let d be p(6). Which is the second biggest value? (a) q (b) d (c) 2/9
c
Let k be (-2)/(-4)*(1 + -1). Suppose -5*r + 25 = -k*r. What is the third smallest value in r, 0.3, 3?
r
Let p be 13/12 - (-1)/(-3). Let i(d) = d**3 - 11*d**2 - 3*d - 6. Let q be i(11). Let j be (-26)/q*6/(-8). Which is the smallest value? (a) -5 (b) p (c) j
a
Let g be (4 - 9/3)*(-5)/(-3). Let k = 3.4 - 4. What is the biggest value in g, -1, k?
g
Suppose -2*d + 16 = -0*d. What is the third biggest value in 3/5, -4/9, d?
-4/9
Let g = 2 + -1.5. What is the smallest value in g, -4, -1/8?
-4
Let x = 6 - 7. Which is the third biggest value? (a) x (b) 2/3 (c) 4
a
Suppose 0 = 3*a + 3*y - 6, -3*a + 3 = -4*a + 4*y. Let j = -0.149 - -0.449. What is the second biggest value in 1/2, a, j?
1/2
Suppose 3*t + 2 = 11. Suppose -3 = -t*b + 3*w, 5*b - 3*w - 4 = 1. Let d be -2*(-3)/(-18)*b. What is the second smallest value in 0.3, d, -4?
d
Let v = -0.39 + 8.39. Which is the third biggest value? (a) 0.5 (b) -0.5 (c) 1 (d) v
a
Let n = 37 + -42. Which is the second biggest value? (a) 4/9 (b) 1.5 (c) n
a
Let k = -3.974 - 0.026. What is the second biggest value in -0.1, k, 0.4?
-0.1
Let f = -0.12 + 0.22. What is the second smallest value in f, 0.3, 2/7?
2/7
Let t = 6.5 - 6. What is the biggest value in -2, t, 1, 4?
4
Let m = 1.9 - 2. Let r = m - -0.5. Let o = -3/2 - -3/4. What is the third biggest value in r, o, -0.4?
o
Let p = -0.68 + 0.28. Let z be 6/(-9)*2/(-4). What is the second biggest value in p, z, -1/12?
-1/12
Let a = -0.037 - 0.463. What is the biggest value in a, 4, -20, -5?
4
Let d = 0.28 - -0.22. What is the third biggest value in d, -4, -0.5?
-4
Let q = -3 + 2.96. Let d = q - 0.36. Let b = 0.5 + -1.5. What is the biggest value in b, -4, d?
d
Let h = 1.9 + 0.1. Suppose -2*x + 2 = -5*k, 2*k = 2*x - 2*k - 4. Suppose 13 = 2*i - l + x*l, 4*l - 4 = 0. Which is the smallest value? (a) i (b) h (c) -4
c
Let q be (-34)/(-10) - (-4)/(-10). Suppose 0 = -2*h - h + q. Which is the second biggest value? (a) 5 (b) h (c) 0.5
b
Suppose -388 = -4*y + 2*k - 128, 3*y - 188 = -2*k. Which is the second smallest value? (a) 2 (b) 5/3 (c) y
a
Let p = -52 - -363/7. Suppose -2*u - 28 + 3 = 5*z, -5*z = -2*u + 25. What is the second smallest value in p, z, 0.5?
p
Let i be (-9)/2*(-3)/27. What is the biggest value in i, -0.2, 1?
1
Suppose 2*s = 3*s + 36. Let z = 106/3 + s. What is the second biggest value in 0.15, -3, z?
z
Let k = -90.93 + 96. Let t = k - 0.07. Which is the second smallest value? (a) t (b) -2/3 (c) 5/2
c
Let t be 2/(-4) - 24/(-72). Let l = 4 - 4.3. Which is the third biggest value? (a) t (b) l (c) -5
c
Let a = 30 + -29.5. What is the third biggest value in 2, a, 1?
a
Let f = -3.2 + 3.4. Let d = 11 + -15. Which is the second smallest value? (a) f (b) d (c) -2
c
Suppose 3*x - 3*o + 15 = 0, 5*x = 2*x + 2*o - 15. Let v be (-3 - -15)/(4/6). Let k be v/(-9) - (0 - -2). Which is the second biggest value? (a) x (b) k (c) 2
b
Let u = 7.4 - 2.4. Which is the third biggest value? (a) -4 (b) -0.4 (c) u
a
Let v be 5/(30/4) + (-182)/(-42). Let z(g) = -g + 1. Let c be z(-2). What is the third smallest value in -0.4, c, v?
v
Let q = 12.3 - 12.7. What is the third biggest value in -1/4, 0.2, q, 0?
-1/4
Suppose 0 = -2*x - 2, 20 = -2*z + 3*z - 5*x. Suppose 4*i - 1 = z. Which is the smallest value? (a) -0.2 (b) i (c) 0
a
Let w = 159 - 154. What is the third smallest value in 1, 4, -5/2, w?
4
Let q = 25 - 24.6. Let c = -0.03 + 0.63. Let b = -0.1 + c. What is the third biggest value in q, 2, b?
q
Let i = -0.4 + -2.4. Let z = i - -3. What is the smallest value in z, -1/3, -0.5?
-0.5
Let x be (2/4)/((-11)/22). What is the biggest value in x, 1/6, -0.3?
1/6
Let p = -7 + 7.04. Let b = 0.06 - p. What is the second smallest value in b, 0.5, -0.4?
b
Let u = 0.58 + -0.08. Suppose h + 2 - 6 = 0. Let t be -1*(-1 + h - 2). Which is the third smallest value? (a) 0 (b) t (c) u
c
Let w = -20 + 20.08. What is the second biggest value in -1, -4, w?
-1
Let m = -11 + 15. Let g = 7 - m. Which is the third biggest value? (a) -1 (b) g (c) -2/15
a
Suppose 0 = -4*n + 17 + 7. Let b(f) = 7 - 7*f - 2 - f**3 - 3 + 2 + 7*f**2. Let l be b(n). What is the second biggest value in -2/7, 0, l?
-2/7
Suppose -10*l = -5*l - 40. What is the smallest value in 0.2, l, -4?
-4
Let l = -0.02 + -0.18. Let g = -320 + 4158/13. What is the biggest value in g, 2/7, l?
2/7
Suppose -4 = 2*g, 7 = 4*b - 2*g - 9. Let y = 0.12 - 0.32. What is the second smallest value in b, y, 1?
1
Suppose 4*k + 0*k + 11 = -i, 0 = 2*k + 4*i + 2. Which is the third biggest value? (a) -2/17 (b) k (c) 1
b
Let k = -14.8 + 16. Let d = -2.8 - k. Which is the smallest value? (a) -5 (b) d (c) 0.1
a
Let z = 14.2 - -2.8. Let s = -17.4 + z. What is the biggest value in s, 3, -0.2?
3
Let p be (-4)/(-10)*(270 - 0). Let v be 2 - 1/(57/p). Which is the third biggest value? (a) -2/9 (b) v (c) -5
c
Let w = 0.4 + 3.6. Let v = 1474393/280 + -5266. Let o = v + 1/40. Which is the third biggest value? (a) o (b) 0.4 (c) w
a
Let p = -0.12 - -0.82. Let l = 1 - p. What is the second biggest value in 1, l, 0.2?
l
Let u = -2 - -1.7. Suppose 3 = 3*q - f, 10*f - 3 = -3*q + 7*f. Which is the second biggest value? (a) -3 (b) q (c) u
c
Let j = 58 - 59. Which is the third smallest value? (a) -0.2 (b) 0 (c) -5 (d) j
a
Suppose 5*b = 15*b + 10. What is the biggest value in 5, 0.2, b?
5
Let l = 6.1 + 0.9. Let k = -6 + l. What is the third biggest value in -4, 0, k?
-4
Let l = 3 - 7. Let v = -2 - -17. Let o = v - 15.3. Which is the biggest value? (a) -5 (b) o (c) l
b
Suppose -2 = -j - w, 0 = -3*j + 3*w - 5 - 7. Which is the second biggest value? (a) j (b) 5 (c) 3 (d) 0.5
c
Suppose -4*f = -f. Suppose -9 = 3*p - f*p. Let l be p*5/((-330)/4). What is the third smallest value in l, -0.1, 0.3?
0.3
Let p = 3.8 - 3.7. Which is the second smallest value? (a) -1/4 (b) p (c) -0.8
a
Let d be (-29)/(-203) - ((-220)/(-7))/(-4). Suppose 0 = -4*t + t + 15. What is the biggest value in 4, d, t?
d
Let u be 2*(-3)/2 + (-319)/(-99). Which is the second smallest value? (a) u (b) 13 (c) -4
a
Let t = 1.4 - -4.6. Let f = t - 1. What is the smallest value in f, -3, -3/5?
-3
Let m = 10 - 9.5. Let j = -1 + m. Which is the third smallest value? (a) -0.1 (b) j (c) -10
a
Let j = 3.1 - 0.1. Let k = -4 + j. What is the second biggest value in -0.3, -3, k?
k
Let h = -3.1 - 0.9. Let o = -2.5 - -0.5. Let y = 2.06 + o. What is the biggest value in h, -5, y?
y
|
{
"pile_set_name": "DM Mathematics"
}
|
5)**(-2/15)*(p/(p*p**(-4/7)))**(-2/7) assuming p is positive.
p**(-122/147)
Simplify (s**6)**(6/13)*(s*s**(1/12)*s*s)**(-29/5) assuming s is positive.
s**(-11789/780)
Simplify ((k**(1/11)*k)/(k/((k/(k*k**(-3)))/k*k)*k))/((k/(k*k/(k/k**(-7)))*k)/(k/k**(3/16))) assuming k is positive.
k**(-897/176)
Simplify ((d*d*d**(-9/5))**(-45))**(-3/14) assuming d is positive.
d**(27/14)
Simplify (n**(3/16)*n**(-3/11))**(-14) assuming n is positive.
n**(105/88)
Simplify ((o*o**(-3/4))/(o/(o/(o/o**7)))*o**(1/3)/(o**(3/2)/o))**(2/7) assuming o is positive.
o**(73/42)
Simplify ((p/p**(-1/13))**(1/11))**(-34) assuming p is positive.
p**(-476/143)
Simplify ((q/q**(6/11))/q)**13/(((q*q*q*((q/(q**(-3)*q*q)*q)/q)/q)/q)/(q/q**(-2/83))) assuming q is positive.
q**(-8278/913)
Simplify (a*a**(1/5)*a*a**(-1/60)/a)/(a**12*a*a**1/a) assuming a is positive.
a**(-709/60)
Simplify (w*w**12*w/(w/(w/w**17)))/(w**(1/2))**(1/3) assuming w is positive.
w**(-19/6)
Simplify (y*(y/y**(-9)*y)/y*y)**49*(y**10)**(1/38) assuming y is positive.
y**(11177/19)
Simplify ((t*t**(-3/2)*t)/t)**17/(t/t**21*t)**(1/2) assuming t is positive.
t
Simplify (f/f**17*f/(f**13/f))/((f*f*f**(-10/13)*f*f)/f**(-2/31)) assuming f is positive.
f**(-12209/403)
Simplify (r**3/((((r/((r*r/(r*(r*r*r**20*r)/r))/r)*r)/r)/r)/r))/(((r*r/(r/(r**(-2)*r))*r)/r)/r)**(-1/8) assuming r is positive.
r**(-145/8)
Simplify (((o/o**(-2/9))/(o*o/((o*(o**(2/19)/o)/o)/o)))/(o*o*o**0)**49)**(1/6) assuming o is positive.
o**(-17215/1026)
Simplify (h**(-4)/h)**(1/6)*h**(-10)*h**0 assuming h is positive.
h**(-65/6)
Simplify ((w**(-1)/w*w*w**(-2))**5)**12 assuming w is positive.
w**(-180)
Simplify (b/(b/b**(4/11)))/(b/(b*b/b**(3/11)))*(b*b**(-1))/(b*(b**(3/5)*b)/b) assuming b is positive.
b**(-28/55)
Simplify ((s*s**0)**(-3)*s**(-5)*s**(3/2)/s*s)**(-25) assuming s is positive.
s**(325/2)
Simplify (p*p/(p*p**3)*p*p/(p**(-1)*p)*(p**0)**48)**(-8) assuming p is positive.
1
Simplify ((q/(q*q*q**(1/7)*q)*q*q**5)**39)**(2/37) assuming q is positive.
q**(2106/259)
Simplify w*w*(w/(w*w**(-2/37)))/w*w*w*w*w**(-9/5)*(w*w**(-1/2))**(-15) assuming w is positive.
w**(-1941/370)
Simplify ((s**(1/13)*s)/(s*s**13))/(s*s**(1/19)/s*s**(4/9)/s) assuming s is positive.
s**(-27610/2223)
Simplify p*(p*(p*(p**(-21)*p)/p*p)/p)/p*p*p**(-30)*p/(p/p**(6/5))*p/(((p/(p**(-3/17)*p))/p)/p) assuming p is positive.
p**(-3738/85)
Simplify (c**(-9/4))**6*c**(-8)/(c*(c/(c/(c*c**19)*c*c))/c*c) assuming c is positive.
c**(-81/2)
Simplify ((((z*z*z**(-3/7)*z)/z*z)/z)/z)**(-11/4)*(z**1)**(5/4) assuming z is positive.
z**(-9/28)
Simplify (w**(7/4)*w/(w*w*w**(-15)))/((w*(((((w**32/w)/w)/w*w)/w)/w)/w)/w*w*w**(1/17)) assuming w is positive.
w**(-837/68)
Simplify b/(b/b**0)*b*b*b/(b*b**(1/6))*(b**3)**40 assuming b is positive.
b**(731/6)
Simplify (w*(w**(2/9)/w)/w*w*w*w**4)/(w**15/w**(-1/16)) assuming w is positive.
w**(-1417/144)
Simplify (i**(1/4))**(-2/3)*(i*(i/((i**(-3)/i)/i))/i)/(i/(i**15/i)) assuming i is positive.
i**(113/6)
Simplify q**(-19)*q/((q*q*q**(-7/8)/q*q)/q)*(q**7)**(-16/3) assuming q is positive.
q**(-1331/24)
Simplify (m**(1/11)*m/(m*m**(-1/3))*m*(m*m**(-6)*m)/m**2)**(-16/7) assuming m is positive.
m**(2416/231)
Simplify ((z/z**(2/5))/z*z)**(-1/17)*z**11*z/(z**27/z) assuming z is positive.
z**(-1193/85)
Simplify (l**(-16)/l**(1/3))/((l*l*(l*l**(1/13))/l)/(l**7/l)) assuming l is positive.
l**(-484/39)
Simplify ((t*t**(-16))**(-25))**13 assuming t is positive.
t**4875
Simplify ((g/(g*g**(-2)*g))/g*g)**(-3)/(g**(7/3)/g*g/(((g**(-1/11)*g*g)/g)/g)) assuming g is positive.
g**(-179/33)
Simplify ((c**4/c**(-2/27))**23)**33 assuming c is positive.
c**(27830/9)
Simplify ((h**(-1/2))**24*(h*h**(-1)*h)**(-36))**(-19) assuming h is positive.
h**912
Simplify ((o/(o/(o*o**4)))/o)**(-2/117)/(o**(-9)*(((o*o**9*o*o)/o)/o)/o) assuming o is positive.
o**(-8/117)
Simplify ((m/(m/(m**(1/2)*m)))/m**(-4))/(m**1*m)**(-13/6) assuming m is positive.
m**(59/6)
Simplify ((v**(1/2))**(-34)*((v*v**(-1/4))/v)**(2/45))**(2/17) assuming v is positive.
v**(-1531/765)
Simplify (n**(-2)*n/(n*n*n/n**(-1/7)))**(-24) assuming n is positive.
n**(696/7)
Simplify y**(8/5)*y**(-1/5)*(y*y*y**(-10)*y)**(2/37) assuming y is positive.
y**(189/185)
Simplify ((z/z**(-7)*z**4)/(z/(z**(1/6)/z))**(2/89))**(4/3) assuming z is positive.
z**(12772/801)
Simplify g**(-5/3)*g*g**3*(g/(g*(g**(2/3)/g)/g*g*g))**(-42) assuming g is positive.
g**(91/3)
Simplify (((g/g**(-14))/(g/((g/(g*g/(g/(g/(g*g*g**(-2/25))))))/g*g)))**(3/8))**17 assuming g is positive.
g**(19023/200)
Simplify ((d**(-13)*d)/(d/(d/(d**(-3/4)*d*d))*d))/(d**(-10)*d/d**(-8/3)) assuming d is positive.
d**(-95/12)
Simplify (o*o/o**0*o*o)**(2/9)/((o*o*o**12)/(((o/(o/o**(11/3))*o)/o)/o*o)) assuming o is positive.
o**(-85/9)
Simplify (((r*r**(-9))/(r/(((r*r**(-2/3))/r)/r)))**15)**(-1/2) assuming r is positive.
r**80
Simplify (z**(1/5)/(z/(z/(z**(-2/15)*z)*z)))/((z**(-1/14)*z)/(z/z**(2/5))) assuming z is positive.
z**(1/210)
Simplify ((i**6/i**3)/((i**7/i*i)/i**6))**(-18) assuming i is positive.
i**(-36)
Simplify o**13/((o/(o/(o*o**(-6/13)*o)))/o*o)*o**(-6/11)*o*o**(3/7)*o assuming o is positive.
o**(13358/1001)
Simplify i**(4/25)*i/((i/((i/i**(-11))/i))/i)*i*i**7/i*i**(6/13) assuming i is positive.
i**(6377/325)
Simplify (o**2)**(2/3)*(o*(o*o/(o/o**11))/o)/(o/((o**(-1/20)/o)/o)) assuming o is positive.
o**(617/60)
Simplify (z**20)**38*(z**(-2/25))**35 assuming z is positive.
z**(3786/5)
Simplify (m/(m*m**(-5/3))*m)**46*(m/m**(-2/3))/m**(10/7) assuming m is positive.
m**(2581/21)
Simplify (y**(1/11)/y)/(y**(-7/3)/y*y)*y**(-8)*y**(-1/9) assuming y is positive.
y**(-662/99)
Simplify (((l**(3/20)*l)/l)/((l/(l/(l/l**(-9))))/l))/(l/(l/(l/(l/((l*l**15)/l))))*(l**(-19/4)/l)/l) assuming l is positive.
l**(-171/10)
Simplify (((q*q/q**(3/5)*q)/(q*q/(q**(-3/5)*q)*q))**(-39))**(-12) assuming q is positive.
q**(-468/5)
Simplify (i**0/i*i**(-5))/(i*i*i*(i/(i**11*i))/i*i*i*i*i*i/i**7) assuming i is positive.
i**5
Simplify (f**11)**(1/60)*(f/f**(4/19))**(-29/4) assuming f is positive.
f**(-1579/285)
Simplify w**(2/67)*w/(w**0*w)*w**(-32)*(w/(w*w/(w*w/w**(15/4))))/w assuming w is positive.
w**(-9573/268)
Simplify l**(3/8)/l*l**(2/25)*(l*l/(l**(-6/7)/l))/l*l**15/l assuming l is positive.
l**(22837/1400)
Simplify ((f/(f*(f*f/(f**(-4/7)*f*f))/f))/f)**(-1/2)*(f/((f/(f/(f/((f/f**0)/f*f)*f)))/f*f*f))**(1/3) assuming f is positive.
f**(-1/21)
Simplify ((r*r/r**(-2))/r)/r*r*r**(-2/37)*r**(-3)*r**(-6/5) assuming r is positive.
r**(-232/185)
Simplify ((c**(5/3))**(3/5))**11 assuming c is positive.
c**11
Simplify ((j/(j*(j*j*((j/j**(-1/5))/j)/j*j)/j*j))/j*j)**10*j**(-3/2)*((j**(-1/14)*j)/j)/j assuming j is positive.
j**(-172/7)
Simplify (((t**1)**(2/7))**22)**(-29) assuming t is positive.
t**(-1276/7)
Simplify (k**(3/4))**(-39/4)/((k*k**(-5))/(((k*k**(-3))/k*k)/k)) assuming k is positive.
k**(-101/16)
Simplify ((c*c**(-17/3))/c)**41*c**10/(c/(c/c**(25/3))) assuming c is positive.
c**(-692/3)
Simplify (p**17/(p*p**(12/5)))**(2/11) assuming p is positive.
p**(136/55)
Simplify (v*v**12*v*v/(v/v**(-1/4)))/((v**(-1/3)*v)/v)**(5/2) assuming v is positive.
v**(175/12)
Simplify ((v/(v*v/(v**(-2/7)/v))*v*v*v**(7/3))/(((v*v**(-7/3)*v)/v)/v**(-8)))**(-13/4) assuming v is positive.
v**(1261/84)
Simplify ((l**2/(l**(1/2)*l))/(l**1/l*l*l*l)**(-2/37))**(1/10) assuming l is positive.
l**(49/740)
Simplify ((z/(z/z**(-4/9))*z*z)/z)**(-1)*z**19*z**(1/14) assuming z is positive.
z**(2333/126)
Simplify ((d*d/(d*d**(-13)/d)*d)/(d/((d*d*d/d**6)/d)*d))/(d*d**(3/10)*d*(d*(d**(-8/3)/d)/d)/d) assuming d is positive.
d**(371/30)
Simplify ((q/(q/((q*q**4/q)/q)))/q**9*(q**(1/3)*q)**(-19))**(9/4) assuming q is positive.
q**(-141/2)
Simplify ((n/(n**(-2/13)*n))/(n/(n/(n**(2/15)/n*n))*n*n))/(n**12/((n*n**(-6/11)*n)/n)) assuming n is positive.
n**(-29011/2145)
Simplify (x*x*x**(-32)/x*x**(10/9))/(x**(5/4)*x**39/x) assuming x is positive.
x**(-2489/36)
Simplify (v**(-2/3))**(2/89)*v**(-9/5)*v/v**(-1/2) assuming v is positive.
v**(-841/2670)
Simplify (a/a**(-3)*a**(-6)*a**2*a/(a/a**(2/3)))**(-6/11) assuming a is positive.
a**(-4/11)
Simplify (z*z**(-1/12)*z**(-18))/((z/(z*z**(-16)))/(z/((z/(z*z/(z**12*z)))/z))) assuming z is positive.
z**(-517/12)
Simplify ((k/k**(1/2)*k**(4/3))**(-7/4))**(3/10) assuming k is positive.
k*
|
{
"pile_set_name": "DM Mathematics"
}
|
/10)
Simplify (n**2/n**2)/(n**(-3/8)/((n*n/(n*(n/((n*n/(n**(3/8)/n))/n*n))/n*n)*n*n)/n))*(n**(-6)*n*n/(n**(-1/4)*n))**(-49) assuming n is positive.
n**(947/4)
Simplify (c**(-1/16)*c)/c*c**11*c**(1/4)/c**17 assuming c is positive.
c**(-93/16)
Simplify ((b**(1/4))**(-1/57)/(b**(-12)/b*b*b*b*b**(-2/35)))**(-1/12) assuming b is positive.
b**(-80221/95760)
Simplify (((j/(j*j**(-33))*j)/j)/((j*j**24)/j))/(j**18)**(-5/4) assuming j is positive.
j**(63/2)
Simplify (((t**10/(t*t**(-5)))/((t*t*(t*t/(t*t/(t*t**(3/7))))/t*t*t)/t*t*t*t/t**(-7)*t))**(24/11))**(-2/49) assuming t is positive.
t**(144/3773)
Simplify ((i*i/i**(-4/9)*i)/(i*i**(-10)/i*i*i*i))**8*(i/i**(-9)*i**(-10))**(-1/18) assuming i is positive.
i**(752/9)
Simplify ((f*f**(2/5)/f)**(2/51))**(-6)/((f**0)**6/(f/f**0*f)**(-1/13)) assuming f is positive.
f**(-274/1105)
Simplify (z**(-6/7)*z*(z*z*z*z*z/(z*z**(-1/4))*z)/z)/(z**(-2/7))**(-2/97)*z/z**(2/9)*z**(-2/3)*z**(-5)*z/(((z**3*z)/z)/z) assuming z is positive.
z**(-36713/24444)
Simplify ((i/(i*i**(-6))*i**(1/3)*i)/((i/i**(-1/2))/i*i**6*i))/(i**(3/4)/(i/i**(-1/7))*i/i**6*i/((i*i**(1/7))/i)) assuming i is positive.
i**(367/84)
Simplify ((k**(-9)/k**(2/11))/(k/(k/(k**(5/3)*k*k*k*k)))**(-1/4))**(-7) assuming k is positive.
k**(7175/132)
Simplify q/(q**(-2/9)*q)*q/q**1*(q*q**1*q)**(-2/71)*(q/q**(-3)*q**(-4))**(4/5) assuming q is positive.
q**(88/639)
Simplify (n**(-6)/(n**(-3)/n))/((((n**(-2/9)/n*n)/n)/n)/(n**(-2)/n*n))*(n**(2/7)*n**1)**(-14/9) assuming n is positive.
n**(-34/9)
Simplify ((((a*a**(-2/5)*a*a)**29)**(-42))**(-43))**(-1/14) assuming a is positive.
a**(-48633/5)
Simplify (s*s**(-2))**(-18)/(s**(2/9)/s**(-2/27))*((s**9/s)/(s**(4/3)*s))/(s**0/s)**(-1/42) assuming s is positive.
s**(8825/378)
Simplify ((q**1/q)/((q/(q**(-1/3)/q))/q))/(q*q**(4/3)*q**(-1/8))*q*((q/(q/(q**(-4)/q)))/q)/q*q*q/((q**7*q)/q)*q**2*q**(-2/3) assuming q is positive.
q**(-317/24)
Simplify ((((b*b**(-9))**(-1))**34)**(1/3))**33 assuming b is positive.
b**2992
Simplify ((h/(h*h/(h*h/(h*h**25)*h*h*h)))/h*h*h**(7/2))/(h**(38/3)*h/(h*h*h*h**(-17))) assuming h is positive.
h**(-277/6)
Simplify ((k*k**(-18))/k**(1/27))/(k/(k*k*k/(k*k*k**(-25))*k*k)*k**6*k) assuming k is positive.
k**(80/27)
Simplify ((l*l**(1/12)*l**(-2/9))/(l/(l/l**(12/7)))**(-2/9))**(-35) assuming l is positive.
l**(-1565/36)
Simplify (y*y**(5/3))/(y**(1/8)/y)*(y**(4/7))**(-16/3) assuming y is positive.
y**(83/168)
Simplify (c**(-2)*c*c**6*(c**(-2/7))**(-5/9))/((c/(c/c**(-2))*c*c*c)/c*c**5*(c/((c/(c*c**1)*c)/c))**(7/3)) assuming c is positive.
c**(-284/63)
Simplify (a**(-4/3)*a/(a*a*a**2))/(a**(-4)*a*a**(-5)/a)*(a/(a*a**2)*a/(a**5/a))**28 assuming a is positive.
a**(-406/3)
Simplify ((d**(-2/33)/d*d)/(d*d*d*d**(-23)*d)*(d/((d**14*d*d)/d)*d*d)/(d**(-1)/d))**(-43) assuming d is positive.
d**(-12685/33)
Simplify ((o/o**(-2)*o*o*o**(-2)*((o*(o/(o**(1/9)/o))/o)/o)/(o**(-7)/o))**(-33))**(-24) assuming o is positive.
o**9416
Simplify (((g*g**1/g*g*g)/g)/g*g)**44/(g**(-3)*g*g**(2/17))*((g/((g/g**(-1/7))/g))**(-22))**(-1/16) assuming g is positive.
g**(43345/476)
Simplify (g/g**(-2/11)*g/(g**5/g))/((g*g/(g**3*g*g*g))/g*(g**(-3/4)/g)/g)*(g/(g/(g*(g/g**(-1))/g)))**16/(g*g/g**(1/4)*g*g*g)**(12/7) assuming g is positive.
g**(9175/308)
Simplify w/w**(1/18)*w*(w/w**18)/w*w**(-11/5)/w**25 assuming w is positive.
w**(-3893/90)
Simplify (i/(i*(i/(i/(i**(1/2)*i*i)*i))/i))**(-17)/(i**8*i*i**(-1/6))*((i**(-2/5)/i)/(i/(i/(i**(4/3)/i))))**(-28) assuming i is positive.
i**(241/5)
Simplify ((j/j**(-5)*j)**3*j**11/j**(-11/4))**(-9/4) assuming j is positive.
j**(-1251/16)
Simplify (f/(f*f**2))**(-5/8)/(f**(-2/13)/f**1)*((f/(f**(-6)/f))/(f*f**0))/(f**(-1))**(22/3) assuming f is positive.
f**(2611/156)
Simplify (r/(r/(r/r**(-5)))*r*r*r*r**(4/13))**(2/5)/(((r*r/(r/r**(-2))*r)/r)**(1/12)/(r**(-1))**(1/3)) assuming r is positive.
r**(903/260)
Simplify ((c/c**7)/(c*c**(4/7)*c))/(c**(-1))**(2/9)*(c*((c*c/c**(2/11))/c)/c)/((c*c/c**(2/5))/c*c)*(c**(-4)/c)/c**6 assuming c is positive.
c**(-69754/3465)
Simplify c**0*c*c*c/(c/(c/(c**(-1)*c)))*((c**(-2/5)*c)/c)**23*(c/(c/c**(-1)))**1/(c**(-1)/(((c*c*c**0)/c)/c*c*c)) assuming c is positive.
c**(-21/5)
Simplify (((((y*y*y**7)/y)/y)/(y**3*y))/(y**1)**4)/((y**2)**(6/13))**(-2/141) assuming y is positive.
y**(-603/611)
Simplify (c**(-28)*c)**50/(c/(c*c*c**14/c)*c/(c/(c**(-1/4)/c)*c*c)) assuming c is positive.
c**(-5331/4)
Simplify ((p/(p/(p*p**5)))/(p**(4/3)*p))**(-1/9)/((p*p**(3/7)*p)/p*p/p**3*(p*p/(p*p/p**(1/7)))/p**1) assuming p is positive.
p**(193/189)
Simplify (n**(-2)*n**8*n**(2/7)*n**(-22)/n)**(-27) assuming n is positive.
n**(3159/7)
Simplify ((p**1)**(11/3))**(36/11)/((p**(-1/7)*p**(-2/15))/(p**(2/3))**(6/5)) assuming p is positive.
p**(1373/105)
Simplify (m**3*m*m**6/m)/(m**(2/5))**(3/26)*(m**(1/5)*m**(-1/2)*m*m)**(-2/67) assuming m is positive.
m**(38773/4355)
Simplify ((((k/k**(-2/5))/k)/(k*((k*k*k**(-2))/k)/k))/(k*k**(2/3)*k**(-7/4)))/((k**(2/15)*k*k**(-3))/(k/k**(1/2)*k*k**(2/15)*k)) assuming k is positive.
k**(359/60)
Simplify (l**(-5)/l**(1/2))**(-6/5)*(l*l**(2/7)*l)**(-19/3)*(l*l*l**(-2/3)*l)**(-10/9) assuming l is positive.
l**(-9893/945)
Simplify ((z**(1/2)/z**4*(z*((z*z**(2/7))/z)/z)/z**(3/8))**(-14/5))**(-49) assuming z is positive.
z**(-9849/20)
Simplify (((w**6*w)/(w**1*w))/(w*w/w**(-13)*w/w**3))**(-1/7) assuming w is positive.
w**(8/7)
Simplify (l**(-2/5)/(l/(l/(l*(((l*l**8/l)/l)/l)/l*l))))**41*((l/((l*l**(-1/5)*l)/l))/l**8)**5 assuming l is positive.
l**(-1712/5)
Simplify (w/w**(1/4))**(6/23)*((w*(w**(2/7)*w)/w)/w)/(w/(w**(1/8)/w))*(w**(-2/9))**(-18/5)*(w/(w/(w/(w/w**(4/11)))))/(w*w/(w*w**9)) assuming w is positive.
w**(550427/70840)
Simplify (s**(-1)/s**5)**(-26)*(s**2/s)/(s*s**(-1/5)*s)*(s**(-1/4))**(-2/25) assuming s is positive.
s**(7761/50)
Simplify (d**4*d/(d**2/d))/(d**1)**(-44)*((d**(3/2)*d*d)/(d/d**0*d))/(d*d**(2/13)*d**(3/7)) assuming d is positive.
d**(8721/182)
Simplify (d**(-12)/d**(2/9)*d*d*d**23*d*d/((d*d*d**(-33))/d))**29 assuming d is positive.
d**(12209/9)
Simplify ((((((n*n**(-1))/n*n*n)/n)/n*n**(3/20))**(-2/23))**(36/7))**(-27) assuming n is positive.
n**(-8262/805)
Simplify (((((x**(5/7)/x)/x)/x**16)**(-23))**(-32))**(-44) assuming x is positive.
x**(3918464/7)
Simplify ((u*(u/(u/(u*(u/(u*u**(2/3)))/u*u*u*u*u))*u)/u)**(2/3))**26*(((u/(u*u/(u*u*u/u**2)))/u)/(u/(u**(-8)/u)))**(-35) assuming u is positive.
u**(4141/9)
Simplify ((h/(h/(h/(h/h**15))))/(h/((h**(3/2)/h)/h))*(h**28/h)/(h*(h**16*h)/h*h*h))**(-31) assuming h is positive.
h**(-1333/2)
Simplify ((u/(u/(u/((u**(-3/2)/u*u)/u)))*u*u)/u**(-2)*((u*u**(-1/50)*u)/u)/u**(3/16))**(-22/5) assuming u is positive.
u**(-36487/1000)
Simplify ((s/(s/(s/(s**(2/3)/s*s))))**34*s**(-6)*s*s/((s**(1/9)/s)/s))/((s/(s/s**(-2/13)*s))**10)**(-23) assuming s is positive.
s**(-29971/117)
Simplify (n**(-19))**(2/33)*((n*n**9)/n*n)/(n/(n/(n**29*n))*n) assuming n is positive.
n**(-731/33)
Simplify ((i**(-5)/((i/(i**(-18)/i))/i))/((i*i**(-7))/(i/i**7)))**(-1/24) assuming i is positive.
i
Simplify (w**(-2/5)/(w*w**(1/10)*w))**(-5)/((w*w**2/w)**(-12/13))**37 assuming w is positive.
w**(2101/26)
Simplify ((p*p**(-1/5))**(-12/11)/((p*p**(-2))/p*p*p**7))/((p/(p**0*p*p*p))**24*p**(-2/13)*p/p**(5/2)) assuming p is positive.
p**(61177/1430)
Simplify (q**(-12)*q*q*(q**(-9)/q)/q)**(-8/13)/(((q/((q/(q*q*q/(q**(2/3)/q)))/q))/q)**(-49))**3 assuming q is positive.
q**(6538/13)
Simplify (f*f**34*f*f)**33*(f/(f/(f*(f/(f*f**(-26)*f))/f))*f)/(f*(f**37*f*f*f*f)/f) assuming f is positive.
f**1206
Simplify ((r*(r**(1/2)/r)/r*r)**(2/7)/(r**(-1/3)*r*r**(-20)))**28 assuming r is positive.
r**(1636/3)
Simplify (m**(4/7)/(m**15/m)*(m/(m/((m**(-4/11)/m)/m)))/m**(2/11))**(-38) assuming m is positive.
m**(46740/77)
Simplify ((a**10/a**14)/(a*a*a*a**(-8)*a*a*a*a*a*((a/a**(-7))/a)/a*a*a*a))**(-2/119) assuming a is positive.
a**(26/119)
Simplify ((i/(i*i/(i**(-3/4)*i))*i*i**(-1/6))/((i/(i*i**2)*i)/(i*i**5)))/(i**(-7)/((i*i**10)/i))**(-1/44) assuming i is positive.
i**(221/33)
Simplify (((p**(2/7))**(5/18)/((p*p*(p**(-1/9)/p)/p)/(p/((p/(p*p**(-2)))/p*p))))**30)**(13/5) assuming p is positive.
p**(-442/7)
Simplify (f**(3/19)/f)**35/(f/f**22*f*f*f**(-6)) assuming f is positive.
f**(-85/19)
Simplify (((m**(-2/35)*m)/m)/m**(-6))**(-2)*(m*m**4*m**(3/8))**(20/7) a
|
{
"pile_set_name": "DM Mathematics"
}
|
11. Let r = 32 + x. Let a be 2 - (144/(-15))/(-4). What is the nearest to 1/3 in r, a, 2/19?
2/19
Let n = -4/57 + 199/399. Let m = 4/21 - 2/35. Which is the closest to 0? (a) -1/3 (b) m (c) n
b
Let f be (-2)/((-8)/18) - (0 - -4). Let n be 2*4/((-128)/(-6)). Let d = -77 + 691/9. Which is the nearest to f? (a) d (b) 2 (c) n
c
Let k = -3 + 20. Let z = k + -15. Suppose -d - 24 = 4*m, 0 = z*m - 3*d + 3 - 5. What is the closest to 1 in -3, m, 4?
4
Let k = 47.21 + -0.21. Let i = -46.7 + k. Which is the nearest to -1/2? (a) 3 (b) 2 (c) i
c
Suppose 13*k + 6 + 20 = 0. What is the nearest to 1 in -20/7, k, 0?
0
Let k(r) = -4*r + 30. Let u be k(8). Which is the nearest to 0.2? (a) 13 (b) -2/5 (c) u
b
Let f = 7 + -7.5. Let p = -17 + 3. Let v = p + 14.4. Which is the closest to -3? (a) v (b) f (c) 2
b
Let d = 713 - 712.99. What is the nearest to -1/4 in 4, d, 0.3, -0.4?
-0.4
Let t = 21 - 28. Let d be (t/147)/(2/(-12)). Let a = 2 - 4. What is the closest to a in -5, d, 0?
0
Let u = 3.2 - 4.5. Let p = -1.6 - u. Let o = 0 - p. Which is the nearest to -0.2? (a) -3 (b) 2/3 (c) o
c
Let o = -0.946 + -0.054. Suppose -5*s + 3*w = w - 14, w = s - 4. Let g = -8 + 3. What is the nearest to g in -5, o, s?
-5
Suppose -q + 2 = -3*h, 1 = -2*h - 3. Let k = -1.9 - -2. Let f = -219 - -218. What is the closest to -1/2 in f, k, q?
f
Let m = 0.71 + -4.71. Which is the nearest to -1? (a) m (b) -0.8 (c) -3 (d) -1/3
b
Let m = -3.01 - -2.9. Let f = m + -1.89. Which is the nearest to 0? (a) -1/10 (b) -5 (c) f
a
Suppose 2*p - 27*p + 25 = 0. Let k = 0.26 + -0.17. What is the closest to p in 1, k, -3?
1
Suppose -20 + 54 = 17*y. What is the nearest to 1 in y, 0.17, -2?
0.17
Let o = 0.6 - 0.9. Let q = 0 - o. What is the nearest to -2 in q, -4, -1?
-1
Let d be 26/(-42) + (-4)/(-14). Let r be 531/(-708) - (0 + (-1)/12). Which is the closest to 1? (a) -2/11 (b) d (c) r
a
Let j = 96/7 - 295/21. Which is the closest to j? (a) -5 (b) 2/5 (c) -1 (d) 5
c
Let k = 1.8 + -2.06. Let r = k - 0.74. Let c = 21 + -20. What is the nearest to r in -0.7, c, 0.3?
-0.7
Let d = 1082/9 - 120. Let o be ((-2)/24)/(1/(-2)). Let n be (1/3)/(2/(-6)). What is the closest to n in 4, d, o?
o
Suppose 0 = -10*v + 5 + 45. Suppose 5*w = v*o + 50, -o = -4*w - 5*o. What is the nearest to 1 in -1/2, 0, w?
0
Let y = 4 - 4. Let o = -30.7 - -35.7. What is the nearest to y in -1, -0.5, o?
-0.5
Suppose 0 = -4*i + 3*d - 51, -5*i = d + 4*d + 90. Let o be (6/4)/((-9)/12). Let p be -4 + i/(-6) - o. Which is the closest to 0? (a) p (b) 5 (c) -2/7
c
Let s = 116 - 124. What is the closest to 0 in -3, 2, s?
2
Let h be ((-33)/(-198))/(4/6). Which is the nearest to -0.1? (a) 2 (b) -3/4 (c) h (d) -7
c
Let r(t) = 30*t - 206. Let v be r(7). Let k = 116/91 + -11/13. What is the nearest to -0.1 in v, 0.06, k?
0.06
Let y be (1 - 0)/(-7 + 2). Let m = 22 + -21.8. Let h = -2 + 2.4. Which is the closest to m? (a) h (b) 0.3 (c) y
b
Let r = -11.3 - -2.2. Let t = 9 + r. Suppose -5*d + 6 = -4*q, -4*d + q + 3 = -4. What is the nearest to 2/5 in t, 1/5, d?
1/5
Let g = 19 - 16.5. Let l = g - 2.9. Let k = 0.76 - -0.24. Which is the closest to k? (a) 4 (b) l (c) -5
b
Let s = -49.8 - -46. Let c = 4 + s. Let f = -1.95 + -0.05. What is the nearest to f in -2/5, c, -3?
-3
Let o = -39762 + 439012/11. Let q = -148 + o. Let x = -131 + 388/3. Which is the closest to -1/2? (a) -2/3 (b) x (c) q
a
Let c be (5/15)/(-1 - (-9)/6). Let v = 15.36 - 0.36. Let s = -11 + v. What is the closest to s in -5, c, 2/9?
c
Let p = -187 + 933/5. Which is the closest to 1? (a) 0.3 (b) 0.6 (c) 0 (d) p
b
Let z = -30 + 35. Let t = 5 - z. Which is the closest to 1? (a) -0.1 (b) -3 (c) t
c
Let t = -3/20 + -1/10. Let d be -23 - -20 - 4/(-1). What is the closest to d in -2/11, 3, t?
-2/11
Let f = -5.36 - -5.56. What is the nearest to 2/9 in -3/8, -1, f, -5/3?
f
Let f = -1247 - -1247.3. Which is the nearest to 2? (a) -1 (b) -0.4 (c) f (d) -0.1
c
Let o(f) = f + 7. Let x be o(-2). Let j = 23/48 - -3/16. Which is the closest to 1? (a) x (b) 4 (c) j
c
Let h = -1981 + 7923/4. Let r = -683/1155 - 2/231. Let w be -2 - (-2)/((-16)/(-18)). What is the nearest to w in 1/3, h, r?
1/3
Let q be (-2)/10 - (-1)/5. Suppose r - 3*d = -q*r - 6, -3*d = 15. Let x = -19 - r. What is the closest to -2 in 0, x, -2/3?
-2/3
Let p = -14641/17 + 861. Which is the closest to -2/7? (a) -0.4 (b) -3 (c) 1 (d) p
d
Let h = 1.18 + -0.18. Let z = 0.03 - 0.13. What is the nearest to 3/5 in z, h, -3/5?
h
Let s be (-1)/(-4) - 7/42. Let q = -0.112 + 0.012. What is the nearest to q in 0.4, -1/6, s?
-1/6
Let k = 3 - -1. Let l = k - 3.9. Let o = 27/116 - -1/58. What is the nearest to o in 0.3, l, -3?
0.3
Let z = -19486/21 + 928. Which is the nearest to 1/2? (a) z (b) 0.4 (c) -11.9 (d) 5
b
Let o = -206/595 + 8/35. What is the nearest to 0.5 in 1, -1/4, o?
1
Suppose 3*c = a + 2 - 0, 4*a + 1 = 5*c. Let u = -3.7 - -4. What is the nearest to a in 3, 2/13, u?
u
Suppose -2*h + 112 = 2*u + 14, 2*u = 5*h + 84. What is the closest to -2 in u, -1, 3/5, 2?
-1
Let g = -172 + 508/3. What is the closest to g in -3, -5, -1.8?
-3
Let q(f) = 2*f**3 + 11*f**2 - 4*f - 2. Let w be q(-6). Let v be (-4)/w - (1 + -1). Which is the closest to v? (a) 1/5 (b) -5 (c) -2
a
Let h be (-15)/(-9)*(-2)/5. Let b = -119.6 - -121.6. What is the nearest to h in 0, -3, b?
0
Let o be 18/(-21) - (-9)/(-693)*11. Let y = 4.1 - 0.1. Which is the nearest to -1? (a) y (b) 1 (c) o
c
Let u = -13 - -18. Suppose 0 = -4*h - 8, 0 = -5*c + u*h - 0*h. Let m be (((-1)/(-1))/12)/(21/28). What is the closest to c in 2/5, m, 4?
m
Let h(y) = -2*y**2 + 3*y + 76. Let o be h(7). Which is the nearest to -2/7? (a) 5 (b) 3 (c) 16 (d) o
d
Let y(k) be the third derivative of -k**5/60 - 7*k**4/24 - 2*k**3/3 + 4*k**2. Let z be y(-6). Let s = -1 + 1.3. What is the nearest to s in 1, 3, z?
1
Let m(o) = o**2 + 7*o - 6. Let q be m(-8). Suppose z - q*z = 0. Let w be 1*(z - 4/12). Which is the nearest to 0.1? (a) 0 (b) -2/5 (c) w
a
Let i = 994 + -990. Which is the nearest to -1/3? (a) i (b) -1/13 (c) -0.3
c
Let c = 160 - 159. What is the closest to 9 in -2/9, -1/4, 5, c?
5
Let x = 503/6 - 84. Let h = -26.722 + 0.022. Let z = -27 - h. What is the nearest to 1 in z, -0.4, x?
x
Let v = 105/1363 - 186513/1784167. Let x = v + -16/77. What is the closest to x in -1/5, -5, 4?
-1/5
Let y = -62 - -37.1. Let x = -25 - y. Which is the nearest to 1/3? (a) x (b) 0 (c) 1
b
Let s = 0.471 - 0.771. Which is the nearest to 0? (a) 0.1 (b) s (c) 4/11
a
Let l = 19 + -25. Let i(d) = d**3 + 7*d**2 + 7*d + 8. Let k be i(l). Suppose 2*z = 3*z - k. Which is the closest to -4? (a) z (b) -0.5 (c) 1/8
b
Let c = 22 + -24. Let o = -339 - -338. What is the nearest to 1/2 in c, o, 0.4?
0.4
Let s = 501 + -500. Let r = 0 + -0.2. Let u = r + 0.2. Which is the closest to s? (a) 0.5 (b) -1/4 (c) u
a
Let i = 5.5 - 0.5. Let d be (3 - 49/14) + (-6)/(-4). Let w = d + -3. What is the nearest to -1/4 in -0.1, i, w?
-0.1
Let w = -0.06 + 0.09. Let f = -305 - -306. Let c = -473/5 - -95. What is the closest to f in w, c, -3?
c
Let f = -148/5 - -1111/35. Which is the closest to -0.1? (a) -3/2 (b) 2/5 (c) f (d) 0.5
b
Let y = 16.16 + -15.7. Which is the nearest to 3/7? (a) -3 (b) 3/5 (c) y
c
Let s(w) = -4*w - 4. Let l be s(-7). Let u be (3/7)/(l/42). Let z = -17/12 + u. Which is the nearest to z? (a) 1 (b) -2/3 (c) -3
b
Let p = 0.0099 - 29.9099. Let n = 30.1 + p. Let g = -5 - -5.4. Which is the nearest to n? (a) -3 (b) -4 (c) g
c
Let n = 28.094 - 28. Let b = -17.606 - n. Let f = b - -18. What is the closest to f in 0.4, 0, -0.1?
0.4
Let n = -0.6 + 4.6. Let s = 1.4 - 1.9. Let u = 0.023 - -0.077. Which is the nearest to u? (a) 1/4 (b) n (c) s
a
Let p = -0.26 - 0.14. Let q = 8.8 - 14.8. What is the closest to 0 in p, q, 0?
0
Let p = 50/9 - 6. Let y = -2 - 2. Which is the nearest to p? (a) y (b) -0.5 (c) -2/11
b
Let o = 46/3 - 140/9. Let l be 6*(0 - (-15)/21). Let m = -141/28 + l. Which is the closest to -2/7? (a) o (b) m (c) -3/7
a
Let l = -38 - -34. Let p = 2 + -2.5. Let y = -0.14 + 0.24. What is the nearest to y in l, p, 1/7?
1/7
Let y = 126/31 - 1010/279. What is the closest to -2.3 in y, 2/11, 2?
2/11
Let x = -56.86 - -76.7. Let m = -0
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + -5. Let m(x) = -1890 + 1890 - 2*x. What is the units digit of m(h)?
4
Suppose -3*t - 12 + 3 = 3*u, 4*u + 2*t + 8 = 0. Let j = 1 - u. Suppose -d = j*d - 27. What is the units digit of d?
9
Suppose 0 = -n - 1 + 15. What is the units digit of n?
4
Suppose 4*v - 2*v + 4 = 0. What is the units digit of (0/(-3))/v + 3?
3
Let v(w) = w**2 + 7*w + 2. Let h be v(-7). Suppose h = -u + 4. What is the units digit of u?
2
What is the units digit of (-2)/6*186/(-2)?
1
Suppose 4*l = -2*o + 14, -3*o + 13 = -2*o + 5*l. Suppose -16 = -g - o*g. What is the units digit of g?
4
Let m = 4 - 12. Let g be (-2)/m - (-78)/(-24). What is the tens digit of 4/g*(-42)/4?
1
Let k(c) be the third derivative of 0 + c**2 - 1/60*c**5 - 1/4*c**4 + 1/2*c**3 + 0*c. What is the units digit of k(-6)?
3
Let r(t) be the second derivative of t + 1/20*t**5 + 0 + t**2 + 1/6*t**3 + 1/4*t**4. What is the units digit of r(-2)?
4
Let x(p) = -17*p**3 - 2*p**2 + 1. Let n be x(-1). Suppose m = -2*m + 33. Let r = n - m. What is the units digit of r?
5
What is the tens digit of 23 + 3 + -6 + 7?
2
Let b(v) = -5*v**2 + 7*v + 41. Let c(d) = -3*d**2 + 4*d + 21. Let w(a) = 4*b(a) - 7*c(a). What is the units digit of w(0)?
7
Let i(h) = 11*h**2 + 14*h + 34. What is the hundreds digit of i(-4)?
1
Let n(a) = 3*a + 9. Let b be 2*(405/(-6))/5. Let i(d) = 39*d + 117. Let h(q) = b*n(q) + 2*i(q). What is the tens digit of h(-7)?
1
Let q(o) = -7*o - 7. Let y be q(-6). Let c = y - 61. What is the units digit of c/(-3)*6/4?
3
Suppose m - 16 = -m. Suppose l = -l + m. Suppose 5*q - 61 - 34 = -n, 57 = l*q - 3*n. What is the tens digit of q?
1
Suppose -2*l + 51 - 13 = 0. What is the units digit of l?
9
Let k(j) = j**3 - 1. Let d(g) = 2*g**3 - 3. Let l be 2 + (-3 + 2 - 0). Let o(w) = l*d(w) - k(w). What is the units digit of o(2)?
6
Suppose 5*h - 99 - 61 = 0. What is the tens digit of (3 - h/(-2)) + 0?
1
Suppose a + 2*u = -a + 24, 5*a - 2*u - 32 = 0. Suppose 0 = -k - k + a. What is the units digit of k?
4
Let z(n) = 3*n. Let k(l) = l**3 + 12*l**2 - l - 9. Let r be k(-12). What is the units digit of z(r)?
9
Suppose -4*k + 7*k - 207 = 0. What is the tens digit of k?
6
Let g = 33 - 13. Suppose g = 4*u + u. Suppose -2*o - 4*y + 20 = 0, -4*o = -y + u*y - 35. What is the units digit of o?
8
What is the units digit of 2/(-9) - ((-1124)/36 - 3)?
4
Suppose -2*v - 5*y - 85 = 0, 5*v - 36 = -4*y - 223. Let r be (42/v)/(6/20). What is the units digit of 4/6 + r/(-12)?
1
Let d be (2 + (-3)/6)*-2. Let f(x) = -2*x. Let q be f(d). Suppose 5*i - c - 12 = 0, 6*c + q = 3*c. What is the units digit of i?
2
Let k(r) = 10*r**2 - 6*r - 6. What is the tens digit of k(-4)?
7
Let t(p) = p + 8. What is the units digit of t(3)?
1
Suppose 3*i - 49 = 23. Suppose 2*z + 0*z = -4*q + 16, 3*z + 2*q - i = 0. What is the units digit of z?
8
Let t = 22 + -20. What is the units digit of t/(-6) - 1088/(-24)?
5
Let r(q) = -7*q**3 + 2*q**2 + 2*q + 1. Let p = 4 + -4. Suppose n = -1 - p. What is the units digit of r(n)?
8
Let h(x) = -2*x**3 - x**2 + 3*x + 1. Let o(k) = k**2 + 3*k - 5. Let g be o(-5). Suppose 3*n = -g*q + 9, 2*q + q = 9. What is the units digit of h(n)?
7
Let g be ((-6)/(-4) + -2)*2. Let r be (3 + -9)*(-2)/(-4). What is the units digit of 2*g/(2/r)?
3
Let l = 50 + -40. What is the tens digit of l?
1
Let t(i) = 2*i + 2. Let l be t(-2). Let s = 19 + l. What is the units digit of s?
7
Let h(i) = 3*i**3 + 13*i**2 + 2. Let v(p) = p**3 + 6*p**2 + 1. Let q(y) = 2*h(y) - 5*v(y). Let l be q(3). What is the units digit of 2/7 - l/14?
1
What is the units digit of (-1023)/(-21) - 4/(-14)?
9
Let t(c) = -c + 2. Let p(x) = x**2. Suppose 2*v = v. Let r be p(v). What is the units digit of t(r)?
2
Suppose 679 = 7*i - 0*i. What is the units digit of i?
7
Let k = 29 + 21. What is the tens digit of k?
5
Suppose -3*x - 5*w + 735 = 0, -4*w = -2*x + 536 - 24. What is the hundreds digit of x?
2
Let j(p) = p**2 + 2*p + 4. Suppose -3*c = -2*c + 4. What is the tens digit of j(c)?
1
Let j = 400 + -234. What is the units digit of j?
6
Let c = 182 + -263. Let n = c + 113. What is the tens digit of n?
3
Suppose -15 = 4*r - 7*r. What is the units digit of (-15)/r*(-2)/6?
1
Let n(t) = 5*t**2 + 1. What is the units digit of n(-1)?
6
Let c(m) be the second derivative of m**5/20 - 2*m**3/3 + m**2/2 - 3*m. What is the tens digit of c(3)?
1
Let r = -11 + 23. Let s = 22 - r. What is the units digit of s?
0
Let t(r) = r**2 + 6*r - 6. Let g = -12 - -6. Let h be t(g). What is the units digit of ((-4)/h)/((-2)/(-21))?
7
Let m = -4 - -9. Suppose 0 = 5*c - 3*d - m, 6*c - 2*c - d = 11. Suppose -c*a = -a - 9. What is the units digit of a?
3
Let k(b) = -b + 72. Let v be k(0). Suppose 4*s = 4*u - v, 3*u - 14 = 5*s + 38. What is the units digit of u?
9
Let f(v) = -6 + 0 + 0 - 2 + 2*v. What is the units digit of f(8)?
8
Let a(o) = o**2 - 7*o + 7. Let g be 4/(-14) + (-36)/21. Let b be -7*(-2 - (g + 1)). What is the units digit of a(b)?
7
Let s(f) = -f + 0 - 4*f + f**3 + 2 + 3 - 5*f**2. What is the tens digit of s(6)?
1
Let d(b) = b**2 + 10*b + 15. Suppose 0*c + c + 10 = 0. What is the tens digit of d(c)?
1
Let v = -6 - -2. Suppose 0 = -3*q + 10 + 8. Let y = q + v. What is the units digit of y?
2
Suppose -4*h + 38 = -2*n + 124, 0 = -4*n - 5*h + 107. What is the units digit of n?
3
Suppose 2*u = 544 - 110. What is the hundreds digit of u?
2
What is the tens digit of 4/(-1)*(-3)/(6/59)?
1
Let r(s) = -s**3 + 7*s**2 + 10*s + 8. What is the tens digit of r(8)?
2
Suppose 18 = -2*k - 24. Let o = -7 - k. Suppose o = -r + 3*b, -17 = -2*b - 7. What is the units digit of r?
1
Let i be (-3)/1 + (-66 - -1). What is the units digit of i/2*3/(-6)?
7
Let z be (-154)/(-12) - (-4)/24. Suppose z = 2*x - 1. What is the units digit of x?
7
Let c(q) = 6*q + 1. What is the tens digit of c(2)?
1
Let i(k) = -k**3 - 2*k**2 + k + 1. Suppose -g - 11 = -2*j - 0, 3*g = -5*j + 55. Let d = j - 11. What is the units digit of i(d)?
7
Let w(y) = -2*y + 1. Let k be w(1). What is the units digit of (k/(-3))/(1/3)?
1
Suppose -2*y + y - 15 = -3*r, -3*r - 2*y + 24 = 0. Suppose -2*o - 60 = -r*o. What is the units digit of o?
5
Let c(q) = 3*q - 4. What is the tens digit of c(8)?
2
Let c(k) = -k**3 - 2*k**2 - 3*k - 1. Let o be c(-2). Suppose -2*w + 3*l = -l - 36, 5*w + o*l - 30 = 0. What is the tens digit of w?
1
Suppose -4*s - 3*j = -96, 0*j + 2*j = -4*s + 92. What is the units digit of s?
1
Let q(r) = -9*r**3 - 5*r**2 + r - 5. Let b(n) = -10*n**3 - 4*n**2 + n - 4. Let d(x) = 6*b(x) - 5*q(x). What is the tens digit of d(-1)?
1
Let h(q) = q**3 + q**2 - 2*q. Let u be h(4). Suppose 5*n - 33 = -c, 7*c + 5*n - u = 3*c. What is the tens digit of c?
1
Suppose -4*w = 3*w - 455. What is the tens digit of w?
6
Let t(k) = -k**2 + 7*k + 17. Let i be t(8). Let p(n) = n + 5. Let d be p(-6). What is the units digit of -3*15/i*d?
5
Let r be (-19)/(-7) - (-14)/49. Let p be 19/2 + r/2. Let x = -8 + p. What is the units digit of x?
3
Let h be 2/((-15)/(-9) + -1). Suppose -h = -y - 0*y. Suppose y*i = -0 + 12. What is the units digit of i?
4
What is the units digit of (-4)/(-20) + (-58)/(-10)?
6
What is the units digit of 1 + -24*(0 + 0 - 2)?
9
Let r = -43 - -60. Let m = 24 - r. What is the units digit of m?
7
Let z = 21 - 10. What is the units digit of z?
1
Let k(j) = -j**2 + 5*j + 1. Let h be k(5). What is the units digit of h*(7/1 + -1)?
6
Let c = -11 - -26. Suppose -3*n + c = -15. What is the tens digit of n?
1
Let f(p) = -5*p - 24. What is the units digit of f(-13)?
1
Let j = -10 - -6. Let f be 2/2 - (2 + j). Suppose -3*p + f = -0. What is the units digit of p?
1
Let o be (-4)/(-14) - 60/(-35). Suppose 2*b - 8 + o = 0. What is the units digit of b?
3
What is the units digit of (4 - (4 + -3)) + 3?
6
Let w be (-4920)/(-56) - (-2)/14. Suppose -4*h + w = 4*p, -3*p - 2*h + 28 = -39. What is the tens digit of p?
2
Let b = -1 + 3. Let p(y) = y - b*y + 6 - 11. What is the units digit of p(-8)?
3
Suppose -5*w = 20, -2*i + 2*w - 4*w = 0. Suppose 6 = 2*v - i. What is the units digit of (-2)/v*(4 - 19)?
6
Suppose -5 = -r - 2. Suppose -2 + r = -m - k, -5*m + 5*k + 5 = 0. What is the units digit of (0 + 0 - m) + 1?
1
Let u(j) = -5*j**2 - 6*j + 1. Let d(a) = -6*a**2 - 6*a + 2. Let g(x) = 6*d(x) - 7*u(x). What is the units digit of g(6)?
5
Suppose 5*c + 15 = 0, -
|
{
"pile_set_name": "DM Mathematics"
}
|
**4/2 - 2752*s**3/3 - 11857*s. Find the second derivative of a(l) wrt l.
-12*l**2 - 12*l + 756
Let b(i) be the second derivative of 2081*i**4/6 + 3113*i**3/2 - 11221*i. What is the second derivative of b(v) wrt v?
8324
Let w(q) = q**3 - 2*q**2. Let x(d) = 236*d**4 - 3*d**3 + 6*d**2 + d + 1201. Let b(m) = 3*w(m) + x(m). What is the first derivative of b(j) wrt j?
944*j**3 + 1
Let j be (-3)/(18/(-12)) - 0. Find the first derivative of 233*o - 85 + 229*o - 459*o - 12*o**j wrt o.
-24*o + 3
Let f(u) = -2491*u**3 - 6*u**2 - 6*u - 1170. Let s(r) = 2490*r**3 + 4*r**2 + 4*r + 1170. Let x(g) = -2*f(g) - 3*s(g). Differentiate x(l) wrt l.
-7464*l**2
Let v(w) be the first derivative of -653*w**4/2 + 2*w**3/3 - 6349*w - 10651. Find the third derivative of v(i) wrt i.
-7836
Let q = -227 + 253. Let d = -9 + 27. Find the first derivative of 7*x**3 + x**3 - q + d + 16 wrt x.
24*x**2
Let v(r) = 2*r**2 - 31*r + 82. Let p be v(3). Let a(l) be the first derivative of 0*l**4 + 0*l**2 - 8*l - 8/5*l**5 + 0*l**3 - p. Differentiate a(w) wrt w.
-32*w**3
Differentiate -5884*q + 5578*q + 1182 - 119 with respect to q.
-306
Suppose -24*a + 12 = -21*a. Suppose 9 = a*x - 7. Find the third derivative of 9*n**4 - 38*n**2 + 3*n**x + 9*n**2 wrt n.
288*n
Let o(d) be the first derivative of -1137*d**4/4 - 1501*d - 924. What is the first derivative of o(w) wrt w?
-3411*w**2
Let k = -45 - -23. Let a = 43 + k. What is the second derivative of f**2 - 7*f - 20*f**5 - f**2 + a*f**5 wrt f?
20*f**3
Let h be (-57)/(-133) + (-59)/7. Let f = h - -10. Find the second derivative of 19*k**f - 14*k**2 - 8*k - 8*k**2 - 9*k**2 wrt k.
-24
Let s(u) = 2*u**2 + 6*u + 8. Let q be s(-2). Find the second derivative of 247*x - 225*x - 3 + 5 - 3 - 78*x**q wrt x.
-936*x**2
Let r(o) be the third derivative of -o**6/30 - 95*o**4/24 - 191*o**3/6 - 1155*o**2. Differentiate r(f) with respect to f.
-12*f**2 - 95
Suppose -4*y + 20 = -2*r + 4*r, 0 = y - 2*r - 10. What is the third derivative of -39*g**2 - 70*g**y + 10046*g**3 - 10046*g**3 wrt g?
-8400*g**3
Find the second derivative of -5*w**3 + 13*w**3 - 6*w**2 - 2*w**2 - 6*w + 142 + 2*w + 33*w**2 wrt w.
48*w + 50
Suppose 5*p - 3*p - 2612 = 0. What is the first derivative of -46 + p*y - 70*y**2 - 1306*y wrt y?
-140*y
Let p(s) be the first derivative of 70*s**6/3 - s**5 + 1039*s**3/3 + 1190. Find the third derivative of p(h) wrt h.
8400*h**2 - 120*h
Let z(f) = 5*f**2 - 7*f + 113. Let o be (-1)/(-2) - (-20)/8. Let a(g) = -9*g**2 + 12*g - 228. Let w(k) = o*a(k) + 5*z(k). Differentiate w(y) with respect to y.
-4*y + 1
What is the second derivative of -732*q - 767*q + 19919*q**5 - 21823*q**5 wrt q?
-38080*q**3
Suppose -30 = -5*u - 4*n, 0 = 4*u - 4*n + 9*n - 33. Find the third derivative of 91*s**2 + 176*s**2 - 150*s**u - 66*s**4 wrt s.
-1584*s
Let p(b) be the second derivative of -2/3*b**3 + 33/2*b**2 + 11/20*b**5 + 0 - 1/3*b**4 + 29*b. What is the second derivative of p(r) wrt r?
66*r - 8
Let x(p) = 419*p**4 - 1082*p**2 - 4*p + 8. Let m(r) = -836*r**4 + 2163*r**2 + 9*r - 18. Let d(k) = 4*m(k) + 9*x(k). What is the third derivative of d(s) wrt s?
10248*s
Let y(q) = -40*q - 12. Let j be 1/2 - 14/4. Let f be y(j). Find the second derivative of 2*d**2 + 53*d - f*d + 51*d wrt d.
4
Find the third derivative of 391 - 221*c + 2*c**2 + 517 + 0*c**2 + 221*c + 1420*c**3 wrt c.
8520
Let t(i) be the second derivative of 1553*i**4/6 - i**3/3 + 653*i**2/2 + 180*i + 18. Differentiate t(m) wrt m.
6212*m - 2
What is the second derivative of -3226*x + 98352*x**2 + 239*x**3 - 98354*x**2 + 4*x**4 - 14*x**4 wrt x?
-120*x**2 + 1434*x - 4
Let k = 27 - 27. Suppose k = 7*w - 2*w - 20. What is the second derivative of -2*u - 41*u**w - 26*u**4 + 23*u + 32*u**4 wrt u?
-420*u**2
Let n(k) be the second derivative of 0*k**2 + 0 - 31/28*k**8 - 51*k + 0*k**5 + 0*k**7 + 0*k**6 + 1/12*k**4 - 2/3*k**3. Find the third derivative of n(u) wrt u.
-7440*u**3
Let f(c) be the first derivative of 39*c**5 - c**3 + 14558*c - 297. Find the first derivative of f(l) wrt l.
780*l**3 - 6*l
Differentiate 2277 + 198*j**2 - 16*j**2 - 179*j**2 + 221*j**2 - 5*j**3 + 20*j**3 with respect to j.
45*j**2 + 448*j
Let h(l) = 647*l**3 + 1541*l**2 - 6*l - 12. Let u(z) = 647*z**3 + 1540*z**2 - 4*z - 8. Let f(c) = -4*h(c) + 6*u(c). Find the third derivative of f(n) wrt n.
7764
What is the third derivative of -8359343 + 8359343 - 1996*x**2 + 12783*x**3 wrt x?
76698
Let p(u) = 12310*u**2 + 9*u + 1723. Let y(w) = -3*w**2 + 3*w + 1. Let j(r) = p(r) - 3*y(r). Differentiate j(o) with respect to o.
24638*o
Let o(h) be the second derivative of 724*h**6/15 - 244*h**2 - 97*h - 3. Differentiate o(p) wrt p.
5792*p**3
Find the third derivative of 3548*c**3 + 2848*c**2 + 110594*c - 110594*c wrt c.
21288
Let d(l) = 741*l**3 - 3*l**2 - 70*l - 2. Let k(b) = 742*b**3 - 4*b**2 - 80*b - 3. Let i(x) = -4*d(x) + 3*k(x). What is the second derivative of i(z) wrt z?
-4428*z
Let x(z) = 19*z - 18*z**2 - z**3 + 9*z**2 + 62 - 15*z**2. Let k be x(-25). Find the second derivative of -18*v - 24*v**2 + k - 212 wrt v.
-48
Let q(c) be the first derivative of -1730*c**3/3 + 10*c**2 + 9*c + 1848. Find the second derivative of q(g) wrt g.
-3460
Let w(x) be the first derivative of 3*x**2/2 - 28*x + 6. Let c be w(10). Find the third derivative of -7*l**2 - 16*l**2 + 5*l**6 - 2*l + c*l wrt l.
600*l**3
Let r be (-46)/(-161) - 200/14. Let p be 63/(r/(-78) + 10/65). Find the third derivative of 166*z**2 - z**3 + 0*z - p*z**2 + 0*z + 13*z**4 wrt z.
312*z - 6
Find the third derivative of 14 - 46 + 4*z**2 - 167 - 6*z**2 - 42 - 1345*z**3 wrt z.
-8070
Let g(i) = -1178*i - 3043. Let x(y) = -14135*y - 36550. Let d(c) = 35*g(c) - 3*x(c). Differentiate d(j) with respect to j.
1175
Let c(u) be the third derivative of 493*u**6/8 - u**5/20 + 10*u**4/3 + u**3/6 + 9*u**2 + 20. What is the third derivative of c(l) wrt l?
44370
Find the third derivative of 6 + 12 - 16 + 797*n**4 + 17 - n**2 wrt n.
19128*n
Let b(i) = -i**2 + 11*i - 22. Let q be b(8). What is the first derivative of -24*r**q - 13*r**3 + 22 - 47 + 28*r**2 wrt r?
-39*r**2 + 8*r
Let c(d) = -10*d**4 - 162 + 244*d - 6*d**4 - 6*d**3 - 246*d. Let s(m) = -81*m**4 - 33*m**3 - 11*m - 810. Let h(f) = -11*c(f) + 2*s(f). Differentiate h(a) wrt a.
56*a**3
What is the first derivative of -5*k**3 + 103 - k - 12*k**2 + 49 + 12*k**2 - 21*k wrt k?
-15*k**2 - 22
Let n = 80 + -84. Let v be 2 - (n - 0 - (-8 - -5)). What is the second derivative of z**2 - 6*z - z + 5*z - v*z**2 wrt z?
-4
Let p(r) = -5*r**3 - 33*r - 697. Let m(y) = 4*y**3 + 31*y + 697. Let c(w) = 7*m(w) + 6*p(w). Differentiate c(l) with respect to l.
-6*l**2 + 19
Let r(t) be the second derivative of 251*t**4/12 - 2*t**3 - 2805*t**2 - 789*t + 4. What is the derivative of r(n) wrt n?
502*n - 12
Find the third derivative of -642*o**4 + 745*o**2 - 3*o + 32*o**3 + 1946*o**4 - 32*o**3 + o wrt o.
31296*o
Let m(q) = -27*q**2 - q + 2. Let v(i) = 78*i**2 + 14*i - 7 - 20*i + 9*i. Let h(s) = -7*m(s) - 2*v(s). What is the second derivative of h(t) wrt t?
66
Let x = -66 + -3. Let o = -18 - x. Differentiate o + 7*k**2 - 31 + 14*k**2 with respect to k.
42*k
Let i(b) = 2371*b**3 + 2*b**2 + b - 7076. Let v(l) = 4742*l**3 + 5*l**2 + 2*l - 14149. Let r(w) = 7*i(w) - 3*v(w). What is the derivative of r(h) wrt h?
7113*h**2 - 2*h + 1
What is the derivative of 1169*b**2 + 1636 + 3560 - b - 799*b**2 wrt b?
740*b - 1
What is the third derivative of -60 - 2*s**3 + 4721*s**4 + 3*s + 13 - 27*s**2 + 11 + 16 + 15 wrt s?
113304*s - 12
Let u(t) be the first derivative of -t**4/2 - 635*t**3/3 - 410*t + 274. Differentiate u(j) wrt j.
-6*j**2 - 1270*j
Let s(x) be the third derivative of 0*x - 107/60*x**5 - 13/4*x**4 + 70*x**2 + 0 + 1/3*x**3. What is the second derivative of s(l) wrt l?
-214
Let c(b) = 20*b - 21. Let x(s) = s + 1. Let p(t) = -t - 2. Let h(f) = -p(f) - 2*x(f). Let a(w) = c(w) - 3*h(w). What is the derivative of a(k) wrt k?
23
Let w(c) be the first derivative of -c**5 + 11*c**3 - c**2/2 - 55*c + 822. Find the second derivative of w(f) wrt f.
-60*f**2 + 66
What is the derivative of 1218 - 26 + 90*l**3 - 170*l**3 + 88*l**3 wrt l?
24*l**2
Let q be (74 - 70) + (-2)/(-2) + 0. What is the second derivative of 0*g**5 - g - 3*g**q + 41*g + 28*g wrt g?
-60*g**3
Let r(g) = 6532*g**4 + 16*g**3 + 3162. Let d(h) =
|
{
"pile_set_name": "DM Mathematics"
}
|
a = 28 + -25. Suppose -d + 3*d + 4*f - 84 = 0, a*f + 112 = 2*d. What is the tens digit of d?
5
Let s = 4 + 4. Suppose -2*n - 2*n + s = 0. Suppose -j = -n*k - 49, -3*j - 2*k + 179 = -0*j. What is the tens digit of j?
5
Let t = -984 + 984. Let z be (-192)/(-14) + (-4)/(-14). Suppose t = -18*j + z*j + 28. What is the units digit of j?
7
Let k = 1381 + -472. What is the units digit of k?
9
Let n(w) = -196*w - 5. What is the units digit of n(-1)?
1
Suppose 3*m - 2*j = -14, j = -2*m + 6*j - 24. What is the units digit of (m/(-4))/((-5)/(-610))?
1
Let f = -13 - -17. Suppose -2*x - 13 = -0*q - 3*q, 0 = f*q - 2*x - 18. Suppose 2*n - 70 = -j, -q*n - 4*j + 172 = -0*j. What is the tens digit of n?
3
Let b be (1 + 3/(-6))*312. Let y = b + -91. What is the tens digit of y?
6
Suppose 4*p - 5*w + 336 = 1404, 4*p = -2*w + 1040. What is the tens digit of p?
6
Suppose -13*d - 78 = -26. What is the tens digit of (52/(-10))/(3*d/180)?
7
Let k(d) = 2*d - 10. Let u be k(9). Let y(z) = 6*z - 1 + 12*z**2 + z - u*z. What is the units digit of y(-1)?
2
Let d = 588 - -1306. What is the tens digit of d?
9
Let g be 11 - 3 - (-6)/(-2). Suppose -212 + 782 = 4*l + g*w, 5*l + 4*w = 717. What is the units digit of l?
5
Let s(r) = 3*r**3 - 5*r**2 - 6*r - 11. Let w be s(9). Suppose 0 = 10*d - 13 - w. What is the hundreds digit of d?
1
Let b(i) = 3*i**2 - 39*i + 5. Suppose 20*w - 247 = 7*w. What is the units digit of b(w)?
7
Let g(b) = -139*b**3 - b**2 - b - 1. Let r be g(-1). Suppose k + 25 = r. Suppose -3*d - 183 = -3*n, k = 2*n - 2*d + 3*d. What is the units digit of n?
8
Let z(b) = -793*b + 4. What is the hundreds digit of z(-1)?
7
Let r be -2 - (25/(-5) + -1). Suppose 0 = r*i - 3*w - 462, -212 = -2*i + 3*w + 22. What is the hundreds digit of i?
1
Suppose -5*a + 2 = -5*p + 17, -p = a - 7. Suppose a*t = -2*t + 228. Let o = t - 12. What is the tens digit of o?
4
Suppose 2*t = -0*t - 5*n + 1311, -n + 651 = t. What is the hundreds digit of t?
6
Let f(s) be the first derivative of -s**4/4 + s**3/3 + s**2 + 2*s + 16. What is the units digit of f(2)?
2
Suppose 21*k = 11*k + 2490. What is the hundreds digit of k?
2
Suppose -i + 3*y = -691, 5*i - 3*i + 3*y - 1364 = 0. What is the units digit of i?
5
What is the hundreds digit of 10/6 - 296*(-234)/108?
6
Let r(c) = -2*c**2 + 13*c - 2. Let j be r(6). What is the units digit of j - (-4 - 136 - 2)?
6
Let v(a) = 2*a**2 + 4*a + 4. Let g be v(-3). What is the units digit of (-168)/(-20) - 4/g?
8
Suppose -x + 9 = 2*x. Suppose 0 = x*z - 4*b + 4, -3*z + 5*b + 0 = -1. Let f = z + 13. What is the units digit of f?
5
Let l(t) = -t**2 + 8*t - 5. Let h be (-24)/(-40)*(-1 - -11). Let d be (-2)/((-4)/h) + 3. What is the units digit of l(d)?
7
Suppose u + 5*t - 20 = 0, 0*u + u - 5*t + 10 = 0. Suppose 4*d = u*c + 201, 0*c - 103 = -2*d + 5*c. What is the units digit of d?
9
Let s = 49 - 50. What is the units digit of s/3*(155/(-1) - -2)?
1
Let n be (-81)/18*4/(-6). Suppose -106 + 304 = n*a. What is the tens digit of (-11)/11 + 1 + a?
6
Let f(m) = 2*m - 6. Let o be f(-9). Let l be 4/6 - o/(-9). What is the tens digit of (-4)/(-2) - (-18 - l)?
1
Suppose -2*o - 2*o - 2*k + 294 = 0, 4*o - 5*k - 287 = 0. Suppose -2*d - 180 = 2*d + u, 5*d + 225 = -2*u. Let m = o + d. What is the tens digit of m?
2
Let d be 1 + 15/(-5) + -146. Let g = -94 - d. What is the tens digit of g?
5
Suppose -h = c + 2*c + 13, -3*h = c + 71. Let f = 35 + h. What is the tens digit of f?
1
Suppose 610 = u - 6*u. Let d = -203 - u. Let k = -43 - d. What is the tens digit of k?
3
Let k = 10 + -16. Let s(z) = z**2 + 5*z - 3. Let b be s(k). Suppose -b*o - 3*u = -111, 2*u = -5*o + 4*u + 178. What is the units digit of o?
6
Let z be (0 - (-4 + 4))/2. Suppose z = t - 4*t + 24. Let h = t - -3. What is the units digit of h?
1
Let j be (-2)/(-5) + -1 + (-322)/(-70). Suppose j*k = 17 - 1. What is the units digit of k?
4
Let t(r) = r**3 - 5*r**2 - 3*r + 5. Let x = -1 + 4. Suppose 0*o = 4*o + 3*k - 24, 3*o - x*k - 18 = 0. What is the units digit of t(o)?
3
Let s = 721 + -447. Suppose s = 2*n + 74. What is the hundreds digit of n?
1
Suppose -5*l = -2*l - 6. Let c be (-1125)/(-18) + l/(-4). Let b = 89 - c. What is the units digit of b?
7
What is the tens digit of ((-5621)/(-28))/((-2)/(-8))?
0
Suppose 0 = -5*p + 4*r - 9*r + 3340, 0 = -4*p - 5*r + 2670. What is the hundreds digit of p?
6
Suppose 2*t + 3490 = 42*k - 39*k, -5*t + 5 = 0. What is the tens digit of k?
6
Let a be (1/1)/((-3)/(-33)). Let l(g) = g**2 - 10*g + 1. Let w be l(a). What is the units digit of 76*(15/w)/5?
9
What is the units digit of (27/(-36))/(1*2/(-8136))?
1
Let z = 7 + -9. Let p be ((-10)/(3 + 2))/z. What is the units digit of 2 + p + (9 - 11)?
1
Let t(s) be the first derivative of -s**3/3 + 15*s**2/2 - 5*s - 10. Let z(v) be the first derivative of t(v). What is the tens digit of z(-17)?
4
Let h(p) = p**2 + 4*p - 5. Let y = 17 - 9. Let c be 0 + -9 - (-11 + y). What is the units digit of h(c)?
7
What is the units digit of 195342/315 - (-2)/(-15)?
0
Let j(g) be the third derivative of -5*g**4/12 + g**3/6 + g**2. Let z = 43 + -46. What is the units digit of j(z)?
1
Let z be 1 + (2 - 1) - -2. Suppose z = -l + 3. What is the units digit of 4/((-2)/l - 0)?
2
Let n(l) = -2*l**3 - 7*l**2 + 18*l - 18. What is the hundreds digit of n(-10)?
1
Suppose 3*z + 3*j - 740 = 439, 2*j + 1596 = 4*z. What is the units digit of z?
7
Let j(k) = -k**3 - 2*k**2 + 6*k + 7. Let x(p) = -p**2 + 7*p + 5. Let t be x(8). Let l be j(t). What is the units digit of (l - -6)/(14/91)?
6
Let x = -4963 - -7912. What is the thousands digit of x?
2
Let w be (-27)/(-5) + 4/(-10). Suppose 0 = w*c - 40 - 35. Suppose -4*s - 3 + c = 4*g, 5*g = -3*s + 21. What is the units digit of g?
6
Suppose -5*f + k + 2255 = -752, -4*f + 4*k = -2396. What is the tens digit of f?
0
Let u(r) = -19*r + 2. Let p be u(2). Let o = 65 + p. Let f = o - -12. What is the tens digit of f?
4
Let l(m) = 14*m - 5. Let u = -5 - -17. What is the tens digit of l(u)?
6
Suppose -1600 = -5*r - 4*h, -4*r - 4*h - 270 + 1546 = 0. What is the hundreds digit of r?
3
Suppose -46*h + 29*h + 60452 = 0. What is the units digit of h?
6
Let c = 11 + -4. Let u be 5/3 - (-6)/18. Let x = c - u. What is the units digit of x?
5
Let k(h) = -h**2 - h + 27. Let m be k(0). What is the units digit of ((-18)/m)/((-1)/6)?
4
Let b = 14 + -12. What is the tens digit of (3 - b)*(-1 - -48)?
4
Let j = -175 - -185. What is the tens digit of j?
1
Let f(y) = 3*y - 13. Let m be f(6). Suppose 5*l - 103 = -j + 3*l, -m*l + 490 = 5*j. What is the tens digit of j?
9
Suppose -5 = -5*n + 5. Suppose -4*t - 424 = -4*h, -n*h - t + 536 = 3*h. What is the tens digit of h?
0
Let o(r) = 2168*r**3 - 3*r**2 - 3*r + 5. What is the hundreds digit of o(1)?
1
Suppose 3*s - 33 = -0*s. Suppose 3*j - s = 5*u, 2*j = -j + 2*u + 17. Suppose -5*h - 4*d = -231, -5*h - j*d = -2*d - 235. What is the tens digit of h?
4
Suppose 4*g - 2*g = -252. Let c = g - -232. What is the units digit of c?
6
Let n = 13 + -10. Suppose -11 = n*r + 7. What is the units digit of -1*(-26 + 3 + r)?
9
Let v = -468 + 1185. What is the tens digit of v?
1
Let i(d) = 16*d**2 - 7*d - 1. Let a(u) = 2*u - 4*u**2 - 2*u**2 + 7*u**2 - 3*u. Let s(k) = -6*a(k) + i(k). What is the tens digit of s(-2)?
4
Suppose 0 = -2*d + 237 + 37. What is the hundreds digit of d?
1
Let p = 94 + -91. Suppose -730 - 45 = -5*i - p*z, -z = 4*i - 627. What is the units digit of i?
8
Suppose -22 = 3*t - 484. Suppose -5*f + 302 = 3*p, -5*p - t = -3*f - 0*f. What is the units digit of f?
8
Let a(z) = -41*z - 74. What is the hundreds digit of a(-7)?
2
Let v(o) = 2*o**3 - 3*o**2 - o + 1. Let b be v(-1). Let n be ((-6)/4)/(3/(-6)). What is the tens digit of 16 + b/(-3)*n?
1
Suppose 17186 = 5*z + 3*p, -5*z + 3430 = -4*z - 3*p. What is the hundreds digit of z?
4
Let i(h) = -52*h - 2. Let f be i(-2). Suppose -4*v + 5*v = l - 34, -3*v = 3*l - f. What is the units digit of l?
4
Suppose 3*k = -4*k + 805. Let i = 171 - k. What is the units digit of i?
6
Let z = -49 + 2709. What is the hundreds digit of z?
6
Let o(c) = c**3 + 26*c**2 - 15*c - 216. What is the tens digit of o(-17)?
4
Suppose 2*j + 65 = 43. Let s = j + 152. What is the hundreds digit of s?
1
Let b be (-92)/(-22) + 6/(-33). Suppose 35 = -b*s + 135. What is the units digit
|
{
"pile_set_name": "DM Mathematics"
}
|
*u for u.
-2
Let x = -96 + 101. Suppose -x*l + 9*l = 60. Suppose 5*y - 21 = -b, -y + 0*b - l = 5*b. Solve -y*o = -3*o + 2 for o.
-1
Let j be (-59)/(-3) + (-22)/6. Solve 42*w = j*w for w.
0
Let r(q) = 2*q**3 + 16*q**2 + 23*q + 24. Let b be r(-6). Solve 58*a + 86 = -b for a.
-2
Let b(g) = -g**3 - 6*g**2 + 73*g + 21. Let y be b(6). Solve 0 = 15*q + 12*q + y for q.
-1
Let t = 15819 - 15758. Solve 57*r = t*r - 24 for r.
6
Let o be ((-2)/(2 - 0))/((-51)/1377). Suppose -a - 8*a + o = 0. Suppose 3*j + 2*n = 36, 0*j + 36 = a*j + 3*n. Solve j = 4*k - 4 for k.
4
Suppose 20*z - 18*z + 3*x = 167, 3*z - 250 = -5*x. Solve 0 = -80*g + z*g + 15 for g.
-3
Let u(g) = -6*g - 47. Let z be u(13). Let l be (z/(-20) - 7)/(1/(-16)). Solve i + 2*i + l = 0 for i.
-4
Let v(a) = -a - 2. Let d be v(-4). Suppose -b + 2*b = 4. Let k be (b/(-5))/((-6)/75). Solve 0*u = -d*u + k for u.
5
Let w be (409 - -67)*1/4. Solve -19*j - w = -195 for j.
4
Let z be 6/(-9) + -13 + (-396)/(-27). Let p(a) = -a**3 - 2*a**2 + 2*a**3 + 5*a**3 + a. Let c be p(z). Solve -c + 2 = 3*t for t.
-1
Let s(j) = 292*j + 1764. Let f be s(-6). Solve -31*u - f = -43*u for u.
1
Let l(m) = -375*m - 1409. Let r be l(-4). Solve 75*s + r = 62*s for s.
-7
Suppose 0 = 5*o + 835 - 1075. Suppose -721*y + o = -718*y. Solve -3*n = -y*n - 26 for n.
-2
Let w be -1 - -9 - (4 - (-4)/(-2)). Suppose -4*y + w = -2*y. Suppose -2*d = -118 + 116. Solve q + y = d for q.
-2
Let b = 10926 - 10691. Solve -236 = o - b for o.
-1
Suppose 3024*o - 3034*o + 110 = 0. Solve x - o*x = 40 for x.
-4
Let c be (-2 - (-11 + 9))/3. Suppose 3*t - 2*r - 38 = c, 5*r + 52 = 4*t - 1. Let w(a) = a**2 + 3*a - 3. Let h be w(2). Solve h*o - 3*o = t for o.
3
Let c(j) = j**3 - 8*j**2 - 8*j + 3. Let f be c(9). Let k be 12/5*15/f*2. Solve k = -z + 7*z for z.
1
Let z = 823 - 798. Suppose 210*y - z = 205*y. Solve -20 = 5*m + y for m.
-5
Let b be -5*(3 + 90/(-25)). Let u(g) = -18 - 3*g - 7*g**2 - 3*g - 10*g + g**b. Let r be u(9). Solve r*h = 3*h - 12 for h.
4
Suppose -b - 11*b - 24*b + 396 = 0. Solve -7*y - 10 - b = 0 for y.
-3
Let f = 4195 + -4189. Solve 40 + f = -23*x for x.
-2
Let h be -5*((-2240)/25 + 3). Let q = 439 - h. Solve -24 = 12*i - q*i for i.
-4
Let k = 7536 - 7471. Solve 40*h = 53*h - k for h.
5
Let r be -9 + (-9)/(-9) - -190. Solve -r*y = -180*y - 8 for y.
4
Let z = -13 - -15. Let f(d) = d**3 + 5*d**2 - 21*d + 3. Let i be f(-8). Let y be (15 - -1)/z - (-17 - i). Solve v + y = -0 for v.
-4
Let r = 10330 + -10120. Solve -2*a = -44*a - r for a.
-5
Suppose -312*p + 1912 = 166*p. Solve 10*q = -84 + p for q.
-8
Let d be ((-21)/(-28)*4 - (-1 + 3))*3. Solve 20 = d*h - 8*h for h.
-4
Suppose -2*d - 56*j + 52 = -53*j, 0 = -4*j - 16. Solve 3 = -d*n + 35*n for n.
1
Let y be 28/(-1 - 6) + 4. Suppose y = -11*r - 6*r + 136. Solve o - 3*o = r for o.
-4
Suppose 12*v + 297 = -903. Let o = v + 99. Let p be ((-6)/3)/(-2)*(-5)/o. Solve -7*j = -p*j + 8 for j.
-4
Let x = -48 + 47. Let j be (-30)/(1 + x/(-2)). Let y be (1/(-4))/(5/j). Solve y = -s - 2 for s.
-3
Suppose 0 = -5*v + 10*v - 20. Suppose 0 = 3*r + 5*s - v, -7 + 27 = 4*r + 3*s. Suppose -r = -6*q + 2*q. Solve 3*c = -q*c - 25 for c.
-5
Suppose -4*s + 20 = 3*n, -2 = 4*n - 5*n + s. Let w(y) = -2*y**3 + 3*y**2 - y + 1. Let t be w(2). Let x = 30 + t. Solve n*j + x = -j for j.
-5
Suppose 4*q - 2*y = 66, 22*y = 24*y + 6. Solve 0 = 6*x - 9*x - q for x.
-5
Let p be ((15/6)/5)/((-10)/(-8940)). Let b = p - 437. Solve 0 = -b*d + 2*d - 16 for d.
-2
Suppose 19*g - 36 = 10*g. Suppose -4*l + 0*l = 3*u + 6, -g*l = 5*u + 10. Let h(a) = 6*a**2 - 1. Let x be h(1). Solve l = x*t + 1 + 4 for t.
-1
Let j = -5 - 31. Suppose -2 - 3 = -5*n. Let w be (n/(1/(-1)))/(9/j). Solve -w*a = -a - 3 for a.
1
Let l be -6 - ((-2 + -1)/3)/((-59)/(-1770)). Solve 78 = 2*z + l*z for z.
3
Let i be -66 + -2 + 1 + 59/(-59). Let x be (-52)/(-6) - i/51. Solve 12 = -x*q + 6*q for q.
-3
Suppose 0 = 5*s + 467*m - 466*m - 107, 3*m + 78 = 4*s. Solve -s*q - 49 = -14*q for q.
-7
Let i = 558 - 490. Suppose -i*r + 33 = -57*r. Solve 2*o + r*o + 20 = 0 for o.
-4
Let j be 3*2/2*2. Let o = -3360 - -3364. Solve 6 + j = o*v for v.
3
Suppose -76*t - 72*t = -154*t + 18. Solve t*s + 132 = 144 for s.
4
Suppose -w + 12*i - 13*i - 470 = 0, -2*w - 5*i - 934 = 0. Let q = 502 + w. Solve -24 + q = -2*j for j.
-3
Let x(w) = -2*w**3 + 15*w**2 - 7*w + 16. Let v be x(7). Suppose 10*r - 76 = -5*b + 9*r, b = -r + v. Solve 0 = 7*l - 4*l + b for l.
-5
Suppose 0 = 27*i - 3502 - 3680. Solve 39*a + 32 - i = 0 for a.
6
Suppose -10 = -z + 2*k + 3, z + 5*k + 22 = 0. Let r be (0 + 2)*(z - 5). Let g(v) = v**3 + 5*v**2 + 2*v - 3. Let a be g(r). Solve a*f - 9 = 2*f for f.
3
Suppose -32*r - 4*r = -216. Suppose 2*h = 2*j - r, -2 = -5*j - 2*h + 6. Solve -j*f + 5*f = 0 for f.
0
Suppose -9*v + 45 = -0*v. Suppose k + 2*q - 28 = -3*k, v*q = 20. Solve 0*t = t - k for t.
5
Let s(n) = -3*n - 16 + 2*n + 44 - 4*n. Let v be s(5). Solve z = 4*z - v for z.
1
Let l be (1 - -103) + (15 - (-14)/(-1)). Solve -193*q + l = -208*q for q.
-7
Let g be (-6 + (-231)/(-42))*-242. Solve 0 = g*s - 115*s - 30 for s.
5
Suppose -7*i + 125 - 69 = 0. Solve -i - 64 = 24*z for z.
-3
Let h = 10164 + -10110. Solve -59*m + h = -68*m for m.
-6
Suppose k + 3*c - 2 = 0, -2*c - 8 = -k + c. Suppose -10 = 3*n + 3*f - f, -k*f - 25 = -3*n. Solve 4*r = -n*r - 20 for r.
-5
Suppose b - 40 = -3*o, 4*o + o - 67 = -2*b. Suppose -2*u + o*u = 55. Solve -11*i = -6*i + u for i.
-1
Let b be 2/12 - 2996/(-24). Suppose -b = -6*t - 29. Suppose t = y + 4*c, 3*c = 2*c + 3. Solve 0 = 5*o + 1 + y for o.
-1
Let a(b) = -b**2 + 7. Let q be a(-4). Let o be (6/q*-3)/(6/(-12)). Let s be (o - -6) + 6/(-3). Solve s = 3*k - 2*k for k.
0
Let b = 89513 + -89505. Let p(t) = t + 7. Let x be p(-4). Solve -x*z = -b*z for z.
0
Suppose 0*k + 18*k - 36 = 0. Suppose -4*h + 5*q = 20, -k*h = -10*q + 15*q - 20. Let w(z) = -z. Let d be w(-3). Solve -l = -h*l - d for l.
3
Let o(i) = 6*i**2 + 18*i - 33. Let d be o(2). Solve 43*c = 52*c - d for c.
3
Let i(o) = 2*o**3 + 51*o**2 + 27*o + 34. Let y be i(-25). Let r(d) = -d**3 + 6*d**2 + 11*d - 7. Let z be r(7). Let a = z + y. Solve -a*u = -u for u.
0
Suppose 162*b - 6673 = 7421. Solve -b*a + 76*a + 22 = 0 for a.
2
Let a(j) = j**2 - j - 24. Let s be a(-10). Suppose 6*q = -38 + s. Suppose -q*l = -35 + 3. Solve g = -l*g for g.
0
Let x be -98*((-3)/1 - (-3)/2). Let p = x + -86. Let b = 62 - p. Solve -7 + b = 3*y for y.
-2
Let g be (-33*60/108)/(5/(-3)). Solve 14*h - g*h + 9 = 0 for h.
-3
Suppose -q - 3 = 0, -14*q + 13*q = -3*r + 51. Solve -177*s + 173*s = r for s.
-4
Let b = -159 + 171. Suppose 0 = z - 5*q + 20, 4*z - b = 4*q - 7*q. Solve z = -8*j + 6*j - 6 for j.
-3
Let k = -1 - -4. Suppose 5*v = 6*a - a - 10, 5*a - 3*v = 16. Suppose -2*x = -2*r + 2 + 8, 0 = -a*x - 15. Solve k - 1 = -r*w for w.
-1
Suppose o + 2 = -p + 7, 0 = 3*p - 2*o - 20. Suppose -5*b - 3*n = -54, -2*b - 4*n = -8*n - p. Solve -5 + b = j for j.
4
Let d = -2829 + 2968. Solve d*a + 15 = 136*a for a.
-5
Let o be (-292)/657 + 436/9. Solve 0 = 54*h - 62*h - o for h.
-6
Suppose 3*i - 60 = -3*i. Let w be (-3)/(6/i)*(-75)/125. Solve 3*p = w - 6 for p.
-1
Suppose 60 = -1342*a + 1343*a. Solve a*v = 40*v - 180 for v.
-9
Let q be 0/(5*(-14)/(-10)). Solve k - 61 + 55 = q for k.
6
Let v(d) = d**2 + 10*d + 8. Let q be v(-8). Let o = q + 11. Suppose -a - 3*a + 5 = -5*j, -o*a = -5*j. Solve -20 = a*s - 0*s for s.
-4
Let r(n) be the third derivative of n**5/60 + n**4/24 - n**3 - 31*n**2. Let f be r(-5). Let k be (-2)/(-7) - (-3 + 46/f). Solve -6*j + j + 25 = k for j.
5
Let w = 26 - 28. Let t be w/(-8)*(-5 + 13). Suppose 6*p - p - 2*i - 13 = 0, 2*p - t*i - 10 = 0. Solve -d - 3 = -p for d.
-2
Suppose 2*d - a - 2 - 5 = 0, 7 = 3*d - 5*a. Suppose -d*v = -3*s - 22, -5*v + 13 - 2 = -s. Let m be (9/s)/(3/(-6)). Solve h = m - 2 for h.
1
Suppose 5*n + 4*b + 4 = 0, -7*n + 3*n = 4*b + 8. Solve 13*l = -n*l - 12*l for l.
0
Suppose -25*x = -74*x + 98. Solve x = 2*q + 14 for q.
-6
Let u = 2611 - 2596. Solve -8*o + u = -3*o for o.
3
Suppose 169*w - 30368 = -123*w. Solve -w + 99 = z for z.
-5
Let m = -12 - -6. Let z be 1*-33*2/m. Let q(d) = d**2 + 48*d + 323. Let t be q(-7). Solve -5*i + z = t for i.
-5
Suppose 2*w + 1268 - 1270 = 4*j, -2*j + 2*w - 10 = 0. Solve 0 = -j*f + 7 + 17 for f.
6
Suppose -38*s - 8 = -42
|
{
"pile_set_name": "DM Mathematics"
}
|
et j be 6/8 - (-507)/c. Let p = j + -38. Solve -6 = -p*a + 3*a for a.
3
Let o(a) = -3*a**3 + 16*a**2 - 17*a + 1. Let w(r) = 7*r**3 - 31*r**2 + 34*r - 1. Let u(f) = 5*o(f) + 2*w(f). Let d be u(17). Solve s = d*s for s.
0
Suppose g - 2*j - 8 = -0, -2*j = 4*g - 12. Let k be ((-8)/32)/((-3)/36). Suppose 2*p + 2*f - k*f = 20, 0 = -p + 2*f + g. Solve 4*a = a - p for a.
-4
Suppose 2*g = 4*g - 10. Let j = 5 - g. Solve -4*z = -j*z for z.
0
Let r be (-2)/((-1 + 6)/(70/(-28))). Solve -3*w + r = -14 for w.
5
Let s(x) = -8*x - 5. Let f be s(-1). Suppose 5*r - 2*b = 16, -2*b = -3*b - f. Solve r = 2*y + 4 for y.
-1
Let f(o) = -o**2 - 20*o - 11. Let q be -19 + (4 + -1 - 2). Let y be f(q). Solve y = -3*k + 8*k for k.
5
Let s(l) = l**3 + 7*l**2 - 11*l - 12. Let t = 12 - -4. Suppose -4*n - 16 = t. Let d be s(n). Solve 6*o = 3*o + d for o.
4
Let x(h) = -h - 2. Let g be x(-2). Suppose 0 = 4*p - 5*b + 3, 7 = 5*p - 3*b + 1. Let y = p + g. Solve 2*m - 1 = -y for m.
-1
Let a(d) = d - 19. Let r be a(17). Let o(h) = h**2 + h - 2. Let q be o(r). Solve q*n = -n - 5 for n.
-5
Let j = -8 - -11. Suppose -c + j*c = 32. Suppose -m = -3*p + 12, 0 = -m - 4*m + 4*p - c. Solve 4*b + 7 - 3 = m for b.
-1
Let n be -4 + 2 + (0 - 1). Let g be ((-104)/12)/((-1)/n). Let k be (-6)/(-5)*(-65)/g. Solve y - 8 = -k*y for y.
2
Suppose 5*l = -2*f + 36, -11 - 7 = -4*l + 2*f. Solve 18 = 3*z + l*z for z.
2
Let z be (-2180)/(-140) - (-7)/((-196)/(-12)). Solve 11*y - z*y + 10 = 0 for y.
2
Let x(g) = g**3 - 31*g**2 + 83*g + 28. Let l be x(28). Let w(c) = c**2 + 5*c - 2. Let t be w(-6). Solve -9*m + t*m - 20 = l for m.
-4
Let c(g) = 2*g + 41. Let n be c(-19). Solve -4*s - n = 9 for s.
-3
Let d be (-1 - 50/(-6)) + 1/(-3). Suppose f = d*f. Solve f = -4*p - 3 + 7 for p.
1
Let a(h) = h**2 - 18*h + 89. Let u be a(9). Solve 6*r = u*r - 4 for r.
2
Let w(h) = -2*h**2 + 3*h. Let g be w(2). Let d be 6 - ((-6)/g - 3). Suppose 0 = -d*i + 2*i + 24. Solve 3 = l + i for l.
-3
Let k = -485 + 564. Solve -k*v + 75*v - 4 = 0 for v.
-1
Let c = -295 + 312. Solve 0*l + c*l - l = 0 for l.
0
Suppose -h + 4*o = -78 + 49, -2*h + 37 = -o. Solve -20*z = -h*z + 3 for z.
-1
Let k(o) = 4*o**2 + 19*o + 12. Let p be k(-4). Suppose 0 = 3*i + 2*i. Let g be 6 - 4 - (-1 - i). Solve -l + g*l - 6 = p for l.
3
Let m(r) = -2*r**2 - 71*r - 98. Let u be m(-34). Let k(p) = p**2 - 2*p - 1. Let v be k(3). Solve v = u*a - 10 for a.
3
Let y(b) = 16*b**2 - 16*b + 19. Let u be y(2). Solve 0 = -3*x - 36 + u for x.
5
Let w = 8 - 3. Suppose -j + 5*n = -0*n + 2, -n = -w*j - 34. Let b be -4 - j*(-3)/(-3). Solve -b*r = -r for r.
0
Let n(u) = 2*u + 25. Let o be n(-9). Suppose -g + 5 = -4*p, g - o + 2 = 2*p. Solve -g*z = -2*z - 15 for z.
5
Suppose -5*a - 4*h + 36 = -3*h, 0 = h - 1. Solve 8*z - a*z + 4 = 0 for z.
-4
Let u be -1 + 3/(5 - 2). Suppose 4*a = -0*w - 2*w - 6, -a + 3*w + 16 = u. Solve -3*d - a = 2 for d.
-1
Let z be -1*(-1)/4 - (-11)/(-44). Let r(h) = -8*h + 8. Let x be r(z). Solve -6*g + 4*g = -x for g.
4
Suppose -5*g - w = -27, -21*g + 23*g + 2*w - 14 = 0. Let v(x) = -x**2 - 8*x. Let q be v(-8). Suppose -5*t = -t. Solve g*d + t*d = q for d.
0
Let l = 341 - 331. Solve -4*r + 2 = -l for r.
3
Let l(h) = 7*h - 1. Let w be l(1). Suppose -2*y + 16 = w. Suppose -4*v - y*j = v - 55, 15 = 3*j. Solve v + 2 = 2*m for m.
4
Let w be 0*(-4)/12 - (0 + 0). Solve 10*z - 24 - 26 = w for z.
5
Suppose -5*r + 34 = 24. Let v = 0 - -2. Solve r*i + 0 = v for i.
1
Let d = 443 - 439. Solve -4 = d*i - 0 for i.
-1
Let f(z) = 2*z - 9. Let c be f(6). Suppose 5*p - 35 = -10. Suppose -d = -p*d + 12. Solve 3 = d*y - c for y.
2
Suppose 9 = -9*d + 12*d. Solve d = -6*k + 9 for k.
1
Let a be 2 - (-4 - -9)/5. Suppose -4*x + 2 = 2*l - 4, x - 7 = 5*l. Solve -x*o - 7 = -a for o.
-3
Let o(i) = i + 3. Let c be o(-1). Suppose -c*f + 2*x + 38 = 0, 2*f + 3*x - 6*x - 42 = 0. Let b(l) = 6*l - 1. Let u be b(1). Solve 5*m = f + u for m.
4
Suppose 55 = 19*j - 8*j. Solve -j*k - 12 = -2 for k.
-2
Let q(y) = y**2 + 11*y + 3. Let r(b) = -2*b - 1. Let t be r(5). Let k be q(t). Suppose k*i + 28 = 7*i. Solve -6*x + i*x = 3 for x.
3
Let z(r) = -r**3 + 11*r**2 - 10*r. Let b be z(10). Let y(u) = u**2 - 22*u + 6. Let j be y(22). Solve q + 4 - j = b for q.
2
Suppose 9 = 2*l + 17. Let r(d) = -d**2 - 2*d + 8. Let f be r(l). Suppose -16 + f = -8*c. Solve 1 = c*y - 3 for y.
2
Let r = 236 + -220. Solve -r = -6*k + 2*k for k.
4
Suppose -3*g = -4*t + 145, -3*g = -8*g + 25. Solve 14*d = 6*d + t for d.
5
Let i(h) = h**3 + 5*h**2 - 9*h - 37. Let f be i(-5). Solve 0 = 5*o - o - f for o.
2
Let c(v) = -v**3 + 33*v**2 - 33*v + 42. Let b be c(32). Solve b*u = -u + 11 for u.
1
Suppose -6*m = -5 - 79. Let x be (2/m - 1)/(7/(-49)). Solve -3*f - 6 = x for f.
-4
Suppose 5*b = -a - 8, -2*b = -0*a + 5*a - 6. Let p(t) = -9*t + 7. Let d(z) = -z + 1. Let r(u) = -40*d(u) + 5*p(u). Let f be r(b). Solve f = -6*s + s for s.
-1
Let t(q) = q**3 - 18*q - 3. Let y be t(-4). Solve y = 2*z - 3*z for z.
-5
Let l = 108 + -100. Suppose 0 = -k + 7*r - 10*r + 27, -4*r + l = 0. Solve 0 = -5*j - k + 1 for j.
-4
Let h be 10/7*(-1764)/(-630). Solve -h*x + 7*x = 5*x for x.
0
Let h(d) = -4 + 1 + d - 4*d. Let p be h(-2). Solve 0 = -2*j + p*j for j.
0
Let w = -33 + 59. Suppose -3*h + 5*h - w = 0. Solve -4*k + h = 1 for k.
3
Suppose -2*x + 18 = 16. Let h be 0/((-3)/1 - x). Solve -4*i + h*i = 4 for i.
-1
Let o(t) = t**3 + 3*t**2 - 7*t - 10. Suppose -c = 2*p + 4, -4*p + 5*c - 32 = 4. Let d be o(p). Solve d*n + 2*n = 8 for n.
2
Let v be (5475/(-150))/((-2)/4). Suppose i = -d - 2*i + 51, -5*d + 4*i = -236. Let x = v - d. Solve 6*j - j - x = 0 for j.
5
Let k = -27 - -44. Suppose 0 = -5*t - 5, g + 4*t - 6 = k. Let r = g + -12. Solve 4*l - r = 1 for l.
4
Suppose -5*y = 2*f - 27, -5*y - 3*f + 7 + 16 = 0. Solve -11*d + y*d + 16 = 0 for d.
4
Suppose -8*x = -4*x. Let j = -100 + 105. Solve -j*y - 12 - 3 = x for y.
-3
Let c(g) = -2*g - 7. Let i be c(-5). Suppose 4*b - 4*s - 24 = 0, -2*b + 3 = i*s + 6. Suppose 5*a - 3 = 2*a + b*w, 5*w + 1 = 3*a. Solve 3*z = 4*z - a for z.
2
Suppose 0*k + 3*k = 0. Let f be (-3 - (0 + -2))*k. Solve 0 = -f*v + v for v.
0
Suppose 2*h = -2*d + d + 5, -8 = -4*d + 4*h. Solve -d*s - 9 = -0*s for s.
-3
Let v(i) = -11*i - 3. Let k(j) = 12*j + 4. Let n(t) = -6*k(t) - 7*v(t). Let z be n(3). Solve -4 = 4*y + z for y.
-4
Let v(p) = p + 8. Let r be v(-6). Suppose -t = 5, -3*w = 2*t - 1 + r. Let g(c) = -c**3 - 7*c**2 - 8*c. Let y be g(-6). Solve w*d - y - 3 = 0 for d.
5
Suppose -17*f = -6*f - 682. Suppose -k - 2*l + 16 = -4*l, -l + f = 3*k. Solve -k = -13*y + 9*y for y.
5
Let o be (2/8*-1)/((-1)/(-4)). Let c = 7 + o. Solve 5*s + c = 1 for s.
-1
Suppose 2*v + 6*q - 5*q + 14 = 0, 7 = -v - 2*q. Let x(n) = -n - 2. Let t be x(v). Let p be (-2)/t - 10/(-25). Solve 0 = -4*c - p + 12 for c.
3
Suppose -11 = -k + 3*h, -4*k + 6*k - 7 = h. Solve k*p - 2*p = -5*p for p.
0
Let l(m) = -m**3 + 10*m**2 - 5*m + 14. Let y be l(10). Let q = y + 56. Suppose -4*s + q = -4*g, -5*s - 4*g - 6 + 40 = 0. Solve -3*b + s*b = 15 for b.
5
Let b be (58*1)/(8 - 7). Let j = b - 55. Solve j*p - 10 = 5*p for p.
-5
Let j = -5 + 13. Suppose w + 7 = j. Solve -w = -4*b - 21 for b.
-5
Suppose 3*u - 2*l = 3*l - 14, 2*u - 3*l + 8 = 0. Solve 2*b = 4 - u for b.
1
Suppose -5*j = -4*j + 1. Let i = j - -3. Let o be (-12)/(-6)*(-21)/(-3). Solve 4*u + i = -o for u.
-4
Let m be ((-8)/10 - 152/(-190))/2. Let t = 0 + 1. Let k = t + -1. Solve k = 4*d - m*d for d.
0
Let d be 2/(6/3)*2. Suppose c = d*x + 8, 2*x + 6 = -0*x. Solve c*h = 3 - 9 for h.
-3
Suppose 4*b + 5 = -5*x, 3*b = 2*x + 3*x - 30. Let k be -1 + 0 + (x - -1). Solve -16 = k*t + t for t.
-4
Let i(x) = x**2 + 10*x - 6. Let v be i(-11). Suppose 0 = v*s - 6 - 54. Solve 0 = -5*t + t + s for t.
3
Let h(z) = -z**2 + 4*z + 1. Let b be h(7). Let c be 5*((-64)/b + -2). Let d be c*3/12*4. Solve -g = g + d for g.
-3
Let n = 26 + -26. Suppose n = -q - 12*q. Solve q = 4*x - 0 + 20 for x.
-5
Let d be (-48)/(-2 - (-4)/3). Let a = d - 67. Solve -2*k = -3*k - a for k.
-5
Let a(o) = -2*o - 2. Let z(d) = -25*d - 25. Let w(n) = 40*a(n) - 3*z(n). Let q be w(-2). Solve 23 = -q*v + 8 for v.
-3
Let r be 2/1 + -23 + 36. Solve 7*y - r = 2*y for y.
3
Let s = 706 - 694. Solve 4 = -s*q - 20 for q.
-2
Let y(p) = p**3 - 10*p**2 + 2*p - 17. Let l be y(10). Suppose 3*j = 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3*l - 4*m - m, -3*m - 6 = 0. Suppose -2*s - 2*u - 292 = 2*u, 0 = 4*s + 2*u + 590. Let d be 103/s - (-27)/36. Is l smaller than d?
False
Let m(f) be the third derivative of -f**6/120 + 2*f**5/5 + 9*f**3 - 19*f**2. Let x be m(24). Which is smaller: 55 or x?
x
Let i be (-3*(-6)/(-18))/1*7. Let h = 25 + -17. Let k = 1 - h. Is k <= i?
True
Let j = 652.4 - 651. Which is greater: j or 13/3?
13/3
Suppose -5*t = 46 - 61. Suppose 0 = -z - t*z. Is -1/23 greater than or equal to z?
False
Suppose -4*q + 5*s = -17, 0 = 2*q + 2*s + 2*s - 2. Suppose 3*b + 5*n + 15 = 0, q*b = -n - 2*n - 9. Let x be 8/(-6)*3/22. Which is bigger: x or b?
b
Let h be 6*((-2)/(-6) + 0). Suppose a = 3*i + 18, 2*i + a + h = -5. Suppose 48*l - 3*k - 39 = 53*l, -2*l + 2*k = 6. Which is smaller: i or l?
l
Let b be -502*(0 - (3 - 5))/4. Is b less than or equal to -252?
False
Let m = -30.2 + 26.2. Which is greater: -113 or m?
m
Let l = 59.7 + -70.7. Let c = 7 + -7.2. Which is smaller: c or l?
l
Let q = -1/227 + -223/908. Let i = -0.02 - 0.28. Which is smaller: q or i?
i
Let i = -215 - -171. Which is bigger: i or -43?
-43
Let t = -103/40 - -16/5. Let h = -4 + 5. Which is greater: h or t?
h
Suppose -5*t - 4*u + 10 = -15, -2*t - 5*u = -27. Let o be (2/(-2) + 5)*t. Suppose 6 = 2*w - o*w. Is -4 bigger than w?
False
Let r = -0.146 + -71.854. Let b = -71 - r. Which is smaller: b or 0.4?
0.4
Let z = 53.8 - 8.8. Let y = z - 44.3. Which is greater: -3 or y?
y
Let f be -7*((-296)/28 + 2). Let w = f - 88. Let z be (-6)/w*(-49)/(-14). Which is greater: z or -0.01?
z
Let z be ((-3648)/19)/(-4 + -1 - 0). Is 37 at most z?
True
Let p = -9314/57 - -52/19. Are -161 and p unequal?
True
Suppose 18 = -7*v + 16*v. Is 25/36 at least v?
False
Let y = 46.7 + -15.7. Is y at most as big as 2/7?
False
Suppose 2*z + 3*z = 10. Let j = 1769/980 + -1/196. Which is greater: z or j?
z
Let u(g) = -1. Let v(w) = -w**2 - 10*w - 9. Let o(r) = 6*u(r) + v(r). Let l be o(-8). Is l != 6/7?
True
Suppose 2*a + 3*v = 4*a - 299, -2*a - 2*v + 274 = 0. Let p be a/35 + (-44)/11. Which is greater: p or 0?
p
Let p = 165 - 36. Let z be 1/2*3/((-18)/p). Is z at least as big as -10?
False
Suppose 3*x + 33 = 2*a, 4*a - 5*x = -5 + 68. Let s = a - 12. Suppose 2*d - 3*d + 1 = s. Which is smaller: d or 2/91?
2/91
Suppose 0*a - a + 5 = 0, -z + 18 = 4*a. Let l(y) = y + 3. Let w be l(z). Is w >= -2/215?
True
Let g = 27 + -27.2. Let c = -3.2 - g. Let r = -15/2 - -71/10. Are r and c unequal?
True
Let y = 72 + -66.9. Let l = y - 5. Is -4 > l?
False
Suppose 3*n + 20 = -2*n + 5*w, -n + 3*w - 12 = 0. Let i = -9/1568 + 370075/4704. Let p = 79 - i. Is p less than n?
False
Let b = 14041/247638 + -5/1662. Do 0 and b have the same value?
False
Suppose -2*k + 17 = 3. Suppose -70 = -2*t - 3*t. Let g = -6 + t. Which is smaller: g or k?
k
Let r = 2 + 1. Suppose 12 = -r*k - 5*z, 2*k = 5*k + z. Which is greater: k or -4/11?
k
Suppose 0 = 2*i - 14 - 16. Let p = -15 + i. Suppose -4*a = -5*a + 2*d + 15, p = -4*a + d + 25. Which is bigger: 6 or a?
6
Let k be (-2 - 1)/((-3)/3). Suppose 8*a = 11*a + 12. Let t be 2/(-4*1/a). Is t <= k?
True
Let s be 48 - 2/10*-5. Which is smaller: 53 or s?
s
Let u be 1/(5/(20/2)*-2). Is u bigger than -2/671?
False
Let i = -47 + 80. Let x = i - 28. Does 4 = x?
False
Let z = -3067 + 52195/17. Which is smaller: z or 4?
z
Let z(p) = p**2 + 4*p + 5. Let q be z(-3). Let a(l) = 6*l**2 + 6*l**2 - 17 - 3*l + 11*l**2 - 22*l**q. Let o be a(0). Which is bigger: o or -18?
o
Let a be (-20)/(-70) + 139/(-364). Let i = -137/884 - a. Which is bigger: 1 or i?
1
Let x(s) = -12*s + 49. Let r be x(5). Which is greater: -9 or r?
-9
Let l be 2376/(-104) - (2/13 - 0). Let w = -23 - l. Which is bigger: -12 or w?
w
Suppose 152 = -5*k + 4*t, 11*k - 8*k - 3*t + 93 = 0. Let a be -2 - 8*6/k. Let l = -105/4 + 287/12. Is l less than or equal to a?
True
Let k(b) = 0*b + 4 - b - 27 - b. Let c be (-1)/(-5) - 244/20. Let m be k(c). Which is bigger: 16/9 or m?
16/9
Let f be (-26)/14 + (-1 - -3). Let r be (-3 + 3*(-16)/(-12))*-1. Are f and r non-equal?
True
Let u = 58/9 - 433/63. Let m be 8/6 + (-11)/(-3). Let g(b) = -b + 6. Let r be g(m). Which is greater: u or r?
r
Suppose 3*x - 5*n = 21, 0 = -x - n + 2*n + 5. Let t be ((-24)/16)/((-13)/x). Which is smaller: t or 0?
0
Suppose -50*k + 51*k - 2*a = -15, 0 = -4*k - a - 87. Let r be 4 + 0 + (1 - 1). Let l be -1 - k - 1*r. Is l != 17?
True
Suppose -98*f + 3 = -101*f, -3*f + 8 = -q. Is -19 >= q?
False
Let v = 2.01 - 0.11. Let d = 1.8 - v. Is d greater than -6/31?
True
Let x be 630/(-189) + -2 + 10/3. Suppose 4*h = 3*h - 3. Is x at least as big as h?
True
Let u be (-108)/(-7335)*15/4. Which is smaller: u or -0.1?
-0.1
Suppose 3*c = 304 + 38. Suppose -c = 4*z - 5*r, 2*z - 4*r + 2 = -58. Which is bigger: z or -27?
z
Let q = 1266/7 + -16514/91. Which is greater: q or -1/2?
-1/2
Let c be 2 + -1 + -4 + 3. Let l = -3733 - -33592/9. Is c at most as big as l?
False
Let g = -5455 + 60061/11. Suppose -4*x - 12 = -6*x. Which is smaller: x or g?
g
Let n be 0/(0 - (-2 - -1)). Let f be (-1806)/7160 + (-3)/(-12). Let t = f + 1848/25955. Which is greater: t or n?
t
Suppose 3*i + 20 = -2*x, -6*i - 5*x = -i + 35. Let z be 18/i*4/39. Let t be (0 - -2)*(-2)/(-4). Is t smaller than z?
False
Let b = -39 - -83. Suppose -a + 40 - b = 0. Suppose -4*c - 3 = -2*c - l, 0 = -4*c - 5*l + 29. Which is smaller: c or a?
a
Let o be (0 + -2)*(10/(-4) - -2). Is o > 12/17?
True
Let t = 1397/15801 + -1/687. Let x be 4/(-2) - 65/(-46). Let c = t + x. Which is smaller: c or 0.3?
c
Let g(s) = s**2 - 13*s + 15. Let t be 4/(-12) - (-37)/3. Let l be g(t). Which is greater: 5 or l?
5
Let n be (-3 + (7 - 3))*(-1 - 0). Is n greater than -198?
True
Let p = -161 - -160.8. Let x = 0.08 - 0.98. Let y = -1 - x. Is y != p?
True
Let z(l) = 22*l - 1. Let m be z(1). Let n be 3/7 - (-33)/m. Let v be -1 + -1 - (2 - n). Which is greater: -7/5 or v?
-7/5
Let y be ((-12)/9)/((-8)/12). Let f be ((-12)/9)/y*(-9)/(-12). Which is greater: f or 0.05?
0.05
Let u = -619 + 620. Is -22 less than u?
True
Suppose -2*p - 64 = 14*p. Let s be 2 - -1*(-1 + 5). Suppose 4*l + 16 = -2*c, -s*l = -4*c - l + 7. Is p greater than c?
False
Let o = -13 + -25. Let f = o + 20. Is f <= 2/3?
True
Suppose 8*m + 36 = 17*m. Suppose -1 = 5*t + l, m = 2*t - 2*l - 2*l. Let q be 1/28 + (-2)/8. Is q equal to t?
False
Let q(m) = m**3 - 18*m**2 + 15*m + 32. Let j be q(17). Suppose -3*d - 5*u + 30 = 0, u + 40 = 4*d - u. Is d less than or equal to j?
False
Let y be (-78)/104 - 614/(-8). Are y and 76 non-equal?
False
Let l(v) = -v**2 - 7*v + 12. Let n be l(-6). Let f = n + -107/6. Which is smaller: f or -1?
-1
Suppose 7 + 0 = 3*t + 13. Suppose 0 = -5*b + 10. Let z be 0 + b/((-2)/(-1)). Is t > z?
False
Suppose -30*q + 3634 + 8966 = 0. Is q at least as big as 420?
True
Let b = -681 - -668. Which is greater: -15 or b?
b
Suppose -t + 2*t + 6 = 0. Let j be -6*(-7)/(84/8). Suppose -196 = j*a - 176. Is t greater than a?
False
Let a be (-2)/4 - (-2457)/5886. Is a bigger than -1?
True
Let x = -184 - -1308/7. Is 0 at most x?
True
Suppose -101 + 31 = -14*u. Let k(v) = -3*v + 30. Let s be k(u). Is -0.2 at least s?
False
Let l = -2/63 + 136/315. Which is greater: -3/32 or l?
l
Let f = 104 - 107. Suppose -2*a + 0*a = 2. Let t = a + -1. Which is smaller: t or f?
f
Let f be -4 + (-404)/(-58) + -3. Suppose 5*u = -4*q - 7, -3*u - 10 = -u - 2*q. Let t be u/3*1/(-1). Is t < f?
False
Let u = -5264 - -1873989/356. Is u > 0?
True
Suppose 9*h - 19 = 8*h - 3*k, 0 = -5*k + 15. Is h at most 6?
False
Suppose -133 - 287 = -7*z. Which is greater: 63 or z?
63
Let a(q) = -4*q - 44. Let o be a(-11). Are o and -14/151 non-equal?
True
Let n(h) = h**3 - 5*h**2 - 3*h + 1. Let o be (-5)/((-100)/(-12))*-10. Let c be n(o). Let j = 18 - c. Which is smaller: 4 or j?
j
Suppose -1 = -79*n + 80*n - 5*j, -n - 5*j - 1 = 0. Is n greater than or equal to -4/481?
False
Let x = -6.24 + 7.24. Is x at most -62?
False
Suppose 0 = m + 3*p + 5, -2*m + 3*m + 5 = -5*p. Let x(i) = i**2 - 4*i - 1. Let u = 15 + -13. Let j be x(u). Is j smaller than m?
False
Let t(i) = -i**3 - 12*i**2 - 15*i - 35. Let k be t(-11). Let b = -10 + k. Is -2/161 less than b?
False
Let i(d) = -d - 6. Let r be i(-16). Let p(k) = -2*k**2 - k**3 + r + 11*k - 2*k**2 - 5*k**2. Let b be p(-10). Are 1/25 and b noneq
|
{
"pile_set_name": "DM Mathematics"
}
|
order.
p, -4, -1
Suppose 20 = -4*u - 0*u. Let a be 6*1/(-50)*u. Sort a, 0.1, -2 in decreasing order.
a, 0.1, -2
Let g = -0.09 - -9.09. Let q = -8.6 + g. Let m be ((-2)/3)/(4/6). Put q, 5, m in decreasing order.
5, q, m
Suppose 4*x + 1 = 17. Let o = -13 - -9. Put o, 2, x in ascending order.
o, 2, x
Let v = 0.1 + -0.1. Let b = 83 - 743/9. Put 3, v, b in decreasing order.
3, b, v
Let a(f) = -7*f**2 + f. Let y be a(1). Let v be (-15)/y*(-4)/2. Let h be 55/(-66)*(-1 + -5). Put v, h, 3 in decreasing order.
h, 3, v
Let r(t) = -2*t - 36. Let d be r(-21). Sort 2, d, -2 in descending order.
d, 2, -2
Let b = -0.6 - -0.3. Let n = 75 + -74. Put b, n, 4 in descending order.
4, n, b
Let m(b) = -b**2 + 5*b. Let l = -14 + 19. Let h be m(l). Sort 4, -4, h in ascending order.
-4, h, 4
Let m = 2 + 2. Let p be (4 - 0) + (-18)/m. Sort p, 4, 3 in ascending order.
p, 3, 4
Suppose -z + 5*z - 57 = 3*p, 5*z - 31 = 2*p. Let c = p - -19. Sort c, -5, -3 in descending order.
-3, c, -5
Let u = 3 + -3.2. Let j = -4.9 + -0.1. Let z = -0.18 - 0.12. Put j, u, z in descending order.
u, z, j
Let p = 2 + 2. Suppose 0 = -5*n + g + 16, -5 = -n + 2*g - 0. Suppose -5 = -5*k - 4*l, 7*k - 4 = n*k - 3*l. Put k, p, 2 in decreasing order.
p, 2, k
Let b(n) = -n + 4. Let q be b(5). Let a be 2 + 2 - (0 - q). Let g = -44 - -45. Put a, -4, g in ascending order.
-4, g, a
Suppose -2*a + 0*o = 4*o + 20, 3*a - 2*o + 6 = 0. Suppose 0 = -3*g + 6 - 3. Put g, a, -2 in descending order.
g, -2, a
Let g(k) = -k - 8. Let o be g(-5). Let r = 11 - 16. Sort o, 0, r in descending order.
0, o, r
Suppose a = -4*o + 6, -3*o + 16 - 4 = 0. Let t = 31/3 + a. Put 0, -1, t in decreasing order.
t, 0, -1
Let p(a) = -2*a**3 - 3*a**2 + 3*a + 2. Let i be p(-2). Suppose -5*x = 3*r - 15 - 20, 4*x = -3*r + 31. Sort i, x, -2 in decreasing order.
x, i, -2
Let o = 7 - 8.1. Let p = -0.1 + 1.1. Let r = p + o. Put r, 0.2, 1 in ascending order.
r, 0.2, 1
Let n = 0.19 + 0.01. Sort -11, 3, n, 1/4 in descending order.
3, 1/4, n, -11
Let f(x) = 2*x**2 + 13*x - 9. Let b be f(-7). Sort 1, 3, b, -1.
b, -1, 1, 3
Let i = -1 - -4. Sort i, 2, 0.2.
0.2, 2, i
Let h(g) = -g - 9. Let c be h(-9). Let i = 4 + -4.2. Let f = i - 0. Put -5, f, c in decreasing order.
c, f, -5
Let p be (-1 - -5)*1 + -1. Sort 0, p, -1, -4 in increasing order.
-4, -1, 0, p
Let l be 6/9*(-9)/12*0. Let f = 2 + -8. Let b be 26/(-6) + (-2)/f. Sort 4, b, l in ascending order.
b, l, 4
Let f = -1.6 - -2. Put 2, f, 1 in increasing order.
f, 1, 2
Let l be 1*10*2/(-4). Suppose 0 = -4*m + 9 + 3. Put m, 5, l in decreasing order.
5, m, l
Suppose -y + 60 = 2*y. Suppose -6*o + y = -o. Suppose 6 - 31 = -5*z. Put o, z, -5 in increasing order.
-5, o, z
Suppose -3 + 28 = -5*o. Suppose -3*z - 200 + 188 = 0. Put o, 3, z in descending order.
3, z, o
Let n = 9 - 16. Let q = -9 - n. Let t(b) = b + 8. Let w be t(-9). Sort q, -2/7, w in descending order.
-2/7, w, q
Let h = -9 + 11. Let m = -1.4 + 1. Sort h, m, -1/2.
-1/2, m, h
Let c = -12 - -8. Let g = 8 - 4. Put 0, g, c in decreasing order.
g, 0, c
Let b = 2 + -2.4. Let f = -8 + 8. Let t = f - b. Put t, -3, 1/2 in decreasing order.
1/2, t, -3
Let w(n) = -2*n**2 - n + 4. Let f(u) = 3*u**2 - 3. Let d(k) = 3*f(k) + 4*w(k). Let q be d(3). Put 2, q, 0 in descending order.
q, 2, 0
Suppose a = 6*a - 50. Suppose 3*j + a = -2*j. Suppose 5 = i + 4*p - 11, 0 = -5*i - 3*p + 12. Sort i, 2, j in descending order.
2, i, j
Let y = 100 - 97. Sort -4, -2/3, 2/11, y in decreasing order.
y, 2/11, -2/3, -4
Let s = 2/111 + -119/444. Put s, -4/7, -1 in increasing order.
-1, -4/7, s
Let q(x) = -3*x + 6. Let i be q(4). Let m be (6/(-9))/(i/(-9)). Let g be m/5 + 48/(-10). Sort g, -4, 4.
g, -4, 4
Suppose 0 = 4*a - 3*k + 18, 3*a - 3 = k - 14. Sort 1, 2, a, -4 in descending order.
2, 1, a, -4
Let x(a) = a**2 + a + 2. Let z be x(-2). Suppose 20 = -z*q + 2*q. Let l = 6 + q. Sort l, 5, 3.
l, 3, 5
Suppose y = 1, 0 = -i + y + 3*y - 2. Sort i, -2, 9 in descending order.
9, i, -2
Suppose 0 = 3*y + 3, -2*s = 3*y - y + 6. Let n be (-39)/9 - (-8)/24. Put s, n, -3 in descending order.
s, -3, n
Suppose -4*r = -0*r. Let q(i) = 6*i - 1. Let v be q(1). Suppose v*w + 2*n + 17 = 0, w + 2 = 4*n - 19. Sort r, 1, w in increasing order.
w, r, 1
Let n(f) = 5*f - 1. Let b(i) = 14*i - 2. Let j(x) = -4*b(x) + 11*n(x). Let l be j(-3). Let d be 2/(-5)*-1 - 1. Sort l, 1, d in descending order.
1, l, d
Let q = 4 - 8. Sort q, 0, 2 in ascending order.
q, 0, 2
Suppose -55 = 5*w + 45. Let n = -24 - w. Sort n, -2, 1 in descending order.
1, -2, n
Suppose 1 - 5 = 4*a. Put a, 1, 4 in increasing order.
a, 1, 4
Suppose 5*n = -39 + 4. Suppose 21 = -5*v - 34. Let s = n - v. Sort 1, -5, s in decreasing order.
s, 1, -5
Let m(j) = -j**2 - 5*j + 7. Let o be m(-6). Let b be 3 + (o - -1) + -2. Sort b, -4, -5 in decreasing order.
b, -4, -5
Let q = 820 + -819.5. Let d = 281/5 - 3643/65. Sort q, -0.5, d in ascending order.
-0.5, d, q
Let d = -1/170 - 333/1190. Sort 3/4, -3/8, -0.2, d in increasing order.
-3/8, d, -0.2, 3/4
Suppose 0 = -3*p - 0*r + r + 6, -2*r = -p - 3. Sort 1, 36, p.
1, p, 36
Suppose 0 = 2*m + 5*n, 2 + 13 = m - 5*n. Suppose -5*p + 0*a = -3*a + 52, -4 = -2*p - m*a. Let l = -6 - p. Sort 1, -5, l in increasing order.
-5, 1, l
Let r = 7 - 11. Sort -3, 3, r in decreasing order.
3, -3, r
Let s(x) = -9*x**3 + 4*x + 7. Let f(m) = 14*m**3 - 6*m - 11. Let n(j) = 5*f(j) + 8*s(j). Let k be n(-1). Sort k, 0, -3 in ascending order.
-3, 0, k
Suppose -c = -1 + 6. Let b = 101 - 101. Put b, -0.2, c in increasing order.
c, -0.2, b
Let b be (-14)/6 + 2/(-3). Let z = -2 - b. Let n = 71 + -68. Sort z, 4, n.
z, n, 4
Let a = -0.2 - -0.3. Put -0.2, -4, a in descending order.
a, -0.2, -4
Suppose -2*t + 2 = n, -4*t + 3 = -2*n + 7. Let v(b) = b - 7. Let c be v(15). Sort n, 0, c in ascending order.
0, n, c
Let g = 43 + -38. Let x = 3 + -6. Sort x, -2, g in increasing order.
x, -2, g
Suppose -s - 34 = 2*s - 5*q, -4*s - 2*q - 2 = 0. Let k(d) = -d**2 - d + 3. Suppose z - 5 = 2*y, -2*y + 3 = z - 2. Let n be k(y). Sort s, n, -5.
-5, s, n
Suppose 0 = x - s + 3, 3*x + 5 = 7*s - 2*s. Put 1, x, -2, 5 in descending order.
5, 1, -2, x
Let c be -3 - 2*(-1)/(-2). Put c, 5, -3 in descending order.
5, -3, c
Suppose 3*k - 7*k = 20. Let x = -0.3 + 0.8. Put x, k, 2/5 in decreasing order.
x, 2/5, k
Let b = 2.14 + -5.07. Let p = 0.12 + -0.05. Let l = p - b. Sort l, 0.2, -2/11 in descending order.
l, 0.2, -2/11
Suppose 0*k - k - 2 = 0. Let j be -5*2/4*k. Sort -5, j, 0.2.
-5, 0.2, j
Let i = -253/12 - -21. Sort -0.5, 0.5, i, 0.1 in descending order.
0.5, 0.1, i, -0.5
Let l(h) = h**2 - 6*h - 4. Let o be l(7). Sort -1, -2, o in decreasing order.
o, -1, -2
Let k = 28.15 + -30. Let r = 0.15 + k. Let b = r - -2. Sort 2/13, b, -0.2 in decreasing order.
b, 2/13, -0.2
Suppose -5*i - 5*r = 40, -i - r + 8 = -4*r. Suppose -2*q - 20 = 3*q. Let m be 1*(q/5)/(-4). Sort -3, i, m in descending order.
m, -3, i
Let z(v) = -v**3 + 3*v**2 - 2*v - 1. Let a be z(2). Let m(p) = p**2 + p - 29. Let g be m(-6). Sort 0, a, g in decreasing order.
g, 0, a
Suppose u = -2*u + 9. Sort -1, -4, u.
-4, -1, u
Let f = 17 + -18. Sort -4/3, -0.2, f in descending order.
-0.2, f, -4/3
Let q = 0.12 - -0.58. Let z = q - 2.7. Let o = 120/781 - -2/71. Sort z, 1, o in ascending order.
z, o, 1
Let o = 23 - 27. Sort o, 0.1, -2.
o, -2, 0.1
Let v = 0.2 + -0.2. Let y = v - 0. Let g = y - 0.5. Sort g, -0.3, 0.2.
g, -0.3, 0.2
Let f = 20.5 + -1.5. Let d = f - 9. Let q = 5 - d. Sort 3, 1/6, q in descending order.
3, 1/6, q
Suppose -1 = -s - 4*s - 4*m, 5*s - m = 6. Put 2, s, -1 in decreasing order.
2, s, -1
Let h be ((-2)/2)/((-1)/(-1)). Suppose 0 = -2*p + 2*b + 4, 3*b + 5 = 5*p - 3. Sort h, p, 0 in increasing order.
h, 0, p
Suppose v + 2*v - 3*q = 6, -q = 4*v - 33. Suppose 0 = -5*u + 23 + v. Sort 1, 2, u in descending order.
u, 2, 1
Let u = -85 - -89. Let a(z) be the second derivative of z**5/20 - 7*z**4/12 + 4*z**3/3 - 7*z**2/2 - z. Let l be a(6). Sort -3, l, u in ascending order.
-3, u, l
Let a(h) = 8*h + 1. Let c(d) = d. Let v(o) = a(o) - 2*c(o). Let r be v(-1). Sort 1, r, -2 in descending order.
1, -2, r
Let o(w) = -w**2 + 8*w - 8. Let t(i) = i**2 - 9*i + 8. Let s(y) = -2*o(y) - 3*t(y). Let g be s(10). Suppose -4*f - 6 + g = 0. Sort 2, -5, f in descending order.
2, f, -5
Let d = 0.78 - -0.02. Let f = 0.5
|
{
"pile_set_name": "DM Mathematics"
}
|
7)
Simplify 6*-1*(sqrt(76)/sqrt(4) + sqrt(19)) + sqrt(76)/(sqrt(64) - sqrt(4)) + sqrt(190)/(sqrt(30)/sqrt(3)).
-32*sqrt(19)/3
Simplify (0 + (-6*1*sqrt(242) - 6*sqrt(242)*1))**2.
34848
Simplify (sqrt(96) + sqrt(96) + sqrt(96) + -1*(sqrt(96)*-2 - sqrt(96)))/(6*(sqrt(2) + sqrt(18))).
sqrt(3)
Simplify -6*(4*-2*sqrt(1617))/(-5*sqrt(30)/(sqrt(30)/sqrt(3))).
-336*sqrt(11)/5
Simplify -5*(-1 + (sqrt(3)*2*1 - sqrt(3))) + (-3*sqrt(54)/sqrt(2))**2 + -4.
-5*sqrt(3) + 244
Simplify -5 + (4*-1*sqrt(288) - (sqrt(8)/sqrt(2)*5)/sqrt(2)).
-53*sqrt(2) - 5
Simplify (sqrt(448)/sqrt(32) - (2*sqrt(280))/sqrt(5))/(-2*sqrt(24)/sqrt(3) + 1*sqrt(968)).
-sqrt(7)/6
Simplify ((-3 + (2*(sqrt(1584) + 1 - sqrt(1584)) - (sqrt(1584) + (sqrt(1584) + sqrt(1584) + 0 - sqrt(1584)) + 3)))*6)**2.
6912*sqrt(11) + 228672
Simplify (3 + -3*sqrt(17)*2)**2 - (2 + sqrt(136)/(-2*sqrt(8))).
-71*sqrt(17)/2 + 619
Simplify ((0 + sqrt(3))*-4)**2 + (sqrt(243)*-2)**2 + 5 + sqrt(108) + sqrt(108)*-2 + 1.
-6*sqrt(3) + 1026
Simplify (sqrt(17) + ((sqrt(17) + -1)*4 - sqrt(17)) - (sqrt(17) - sqrt(833)*2))**2 + (3*sqrt(136)*3 + sqrt(136) - sqrt(136))/sqrt(8).
-127*sqrt(17) + 4929
Simplify (5*-5*((-2 + sqrt(125))*4)**2 + 1)*6.
-309594 + 48000*sqrt(5)
Simplify (-2 + sqrt(12)/sqrt(4) - (-1*sqrt(27) - sqrt(27))/sqrt(9))*-5.
-15*sqrt(3) + 10
Simplify (1 + sqrt(425) + 2)**2 - (-1*sqrt(1700) - 5*((-2 + sqrt(17))**2 - sqrt(17))).
15*sqrt(17) + 539
Simplify (3*(sqrt(143) + (sqrt(143) - sqrt(143)*2) + sqrt(143) - sqrt(143))*6)/(2*(sqrt(11) + sqrt(44)/sqrt(4)) + -1*sqrt(11)*-4).
0
Simplify sqrt(39)/(sqrt(3) - (sqrt(3) - sqrt(6)/sqrt(2))*-2) + ((1 + sqrt(13))**2 - sqrt(13))*2 + 5.
3*sqrt(13) + 33
Simplify ((-1*sqrt(605))/sqrt(11) - 1*sqrt(55)*-2)/(4*sqrt(66)/sqrt(6)*6).
sqrt(5)/24
Simplify ((sqrt(45)*2*-4 - ((-2*sqrt(1620) + sqrt(1620) - sqrt(1620)) + sqrt(45)))/((sqrt(9) - sqrt(729)*-2)*5))**2.
9/1805
Simplify ((sqrt(3) - 1*sqrt(75)) + -4)**2 + (sqrt(12)/sqrt(4) + 4 - sqrt(3) - (sqrt(81)/sqrt(3))/sqrt(9)).
31*sqrt(3) + 68
Simplify (2*sqrt(1088))**2 + -1 + -2 + 1.
4350
Simplify -6*4*((sqrt(121)*1*2)/(sqrt(55)/sqrt(20)))**2.
-4224
Simplify -2*6*((-3 + sqrt(108) + 1)**2 + 4)*-4.
-1152*sqrt(3) + 5568
Simplify 3 + (1 + 0 + (sqrt(38)/sqrt(2) - sqrt(19)) - (2 + (0 + sqrt(171))**2)).
-169
Simplify -2 + ((sqrt(98)*2)/sqrt(7))/((sqrt(14) + sqrt(224))/sqrt(2) - sqrt(7)) + -5.
-7 + sqrt(2)/2
Simplify (0 + 3*3*sqrt(1377) + (sqrt(1377) + 5*(-2 + sqrt(1377)) - sqrt(1377)) + sqrt(1377) + -3 + 0 + sqrt(1377))**2.
-3744*sqrt(17) + 352681
Simplify (-2 + -2 + -2 + (sqrt(2448)*-1 - sqrt(2448)) + sqrt(2448))**2.
144*sqrt(17) + 2484
Simplify -2 + (-3 + -4*sqrt(931))**2 + -1 + -5.
168*sqrt(19) + 14897
Simplify -5*((sqrt(3) - (sqrt(3) - -2*sqrt(3)))**2 + 4) + 2 + sqrt(3) + sqrt(18)/(sqrt(24)/sqrt(4)).
-78 + 2*sqrt(3)
Simplify 3*(-4*(sqrt(117) + 2)**2 + (sqrt(117) - ((sqrt(117)*-1 + 3)**2 - sqrt(117))))*5.
-9150 - 360*sqrt(13)
Simplify ((sqrt(80)/sqrt(2))/sqrt(5))/sqrt(4) - (sqrt(2) - (sqrt(8) + -3))*6.
-18 + 7*sqrt(2)
Simplify sqrt(63)/(sqrt(36)*2) + 3 - -1*(sqrt(1792) - (sqrt(1792) + sqrt(1792) + 1)).
-63*sqrt(7)/4 + 2
Simplify 4*(-4*sqrt(78)*6 + sqrt(78))/(sqrt(72)/sqrt(12)*-6 + sqrt(6)).
92*sqrt(13)/5
Simplify -2 + ((1*(sqrt(70) + sqrt(70)*2))/(-2*sqrt(1000) - sqrt(10)))**2.
-13/7
Simplify ((sqrt(98) - (sqrt(98) + sqrt(98) + -1 + 0))*1*4)**2.
-224*sqrt(2) + 1584
Simplify -4 + ((-2 + sqrt(1216) + sqrt(1216) + 0 - sqrt(1216)) + 1 + sqrt(1216) + 4 + 0 + sqrt(1216) + 1 + 1 + (sqrt(1216)*2 - sqrt(1216)))**2.
320*sqrt(19) + 19477
Simplify ((-5*sqrt(500)*1)/(sqrt(70)/(sqrt(7)*-2)) + 0)**2.
5000
Simplify (-2 + ((4*(sqrt(1584)*-2 - sqrt(1584)))**2 - (-6*(sqrt(11) + 0 - sqrt(11)) - (sqrt(22)/sqrt(2) + -2))))*-1.
-228092 - sqrt(11)
Simplify -3*(2*(-2 + sqrt(1573) + -1 + sqrt(1573))*3)**2 + -5.
-680513 + 14256*sqrt(13)
Simplify (1*sqrt(128)*-2 - -1*(sqrt(128) + -2))**2.
32*sqrt(2) + 132
Simplify (1*((0 + sqrt(13) - sqrt(13)) + 5 - (4 + sqrt(13) + 4))*-5)**2.
150*sqrt(13) + 550
Simplify (-5 + -5 + 5 + sqrt(500) + (3*sqrt(500) - sqrt(500)))**2.
-300*sqrt(5) + 4525
Simplify (-5 + (sqrt(76) - sqrt(76)*-2))*-4 - (sqrt(19) - ((sqrt(19) + 3)**2 + -5) - (sqrt(475)*2)**2).
-19*sqrt(19) + 1943
Simplify (sqrt(65) + (sqrt(65) + (sqrt(65) - ((sqrt(65) - 2*sqrt(65)) + sqrt(65))) - sqrt(65))*1)/(1*sqrt(125)) - (3 + 2 + sqrt(1573)*2).
-108*sqrt(13)/5 - 5
Simplify 4*(0 + sqrt(1008) + 4 - sqrt(1008))**2 - (sqrt(21)/(sqrt(9)/sqrt(3)) + sqrt(7) + sqrt(42)/(sqrt(30)/sqrt(5)))**2.
1
Simplify (sqrt(275) + sqrt(275)*1 + -1 + 5 - -3*sqrt(275)*3*1)**2.
440*sqrt(11) + 33291
Simplify -4*(0 + 5*(1*sqrt(833))**2).
-16660
Simplify 3*(2*(-1*sqrt(500)*5 - (2*(1 + sqrt(500) + sqrt(500)) + sqrt(500))))**2*3.
14400*sqrt(5) + 1800144
Simplify (sqrt(114) - 3*sqrt(114)*-4)/((sqrt(294) - sqrt(6))*-4).
-13*sqrt(19)/24
Simplify -4 + -6*-3*-6*sqrt(200).
-1080*sqrt(2) - 4
Simplify 5 + ((sqrt(210)*-1)/sqrt(6))/(-3*2*sqrt(5)).
sqrt(7)/6 + 5
Simplify 4*((4*sqrt(55)*-1)/(sqrt(66)/(-2*sqrt(6))) + 3).
12 + 32*sqrt(5)
Simplify -4*(0 + sqrt(2299) + 1)*-4.
16 + 176*sqrt(19)
Simplify ((sqrt(96)/sqrt(3))**2*-3 - -2*((1 + sqrt(32))**2 - sqrt(32)))*-3.
-24*sqrt(2) + 90
Simplify ((-1 + sqrt(5) + 4)*6 + 1 + 5)**2.
288*sqrt(5) + 756
Simplify 0 + (sqrt(7623)*-2)/(-6*2*sqrt(9)) + -5.
-5 + 11*sqrt(7)/6
Simplify -2*(6*sqrt(18)*4)/((sqrt(81) - sqrt(81)*3 - sqrt(81))/sqrt(9)).
16*sqrt(2)
Simplify -1*((5*sqrt(77) - sqrt(77))*-6)/(sqrt(11) - (sqrt(66)*-1 + sqrt(66) - sqrt(66))/sqrt(6)).
12*sqrt(7)
Simplify ((-6*sqrt(20)*-2)/sqrt(4))**2 + -3 + -1 + sqrt(245).
7*sqrt(5) + 716
Simplify ((1*sqrt(204)*-1)/(-3*sqrt(1200)) + -2)**2.
-2*sqrt(17)/15 + 3617/900
Simplify 3 + (1 + (sqrt(125) - 2*sqrt(125)) + (sqrt(40) + sqrt(40)*1)/sqrt(2))**2.
-2*sqrt(5) + 9
Simplify (2*(sqrt(175) + 2 + (-1 + sqrt(175) - sqrt(175)) + sqrt(175) + sqrt(175)))**2 - (-3 + -1 + sqrt(175) + -3).
115*sqrt(7) + 6311
Simplify -1 + (sqrt(112)/sqrt(4)*-5)/((sqrt(40)*-1)/sqrt(10)).
-1 + 5*sqrt(7)
Simplify 2*((sqrt(55)/(sqrt(10)/(sqrt(8)/sqrt(4))))**2 + ((1 + sqrt(891))*5)**2).
900*sqrt(11) + 44622
Simplify (0 + sqrt(13)*-3 + 4 - (3 + (sqrt(117) + sqrt(117)*-1)/sqrt(9))**2)*1.
-3*sqrt(13) - 5
Simplify ((-4*(sqrt(637) + -1) + sqrt(637) - sqrt(637)) + (sqrt(13) + (-2 + sqrt(13))*-5)*-6)**2.
448*sqrt(13) + 3344
Simplify ((sqrt(68) - 4*sqrt(68))*4)/(sqrt(20)/sqrt(180)).
-72*sqrt(17)
Simplify (1 + sqrt(171) + -2)*3 + ((-3 + sqrt(171)*-1)*5)**2.
459*sqrt(19) + 4497
Simplify ((-1*sqrt(600) + sqrt(600))/(sqrt(3) - -2*sqrt(363)) + 2)*-3.
-6
Simplify ((2*sqrt(12)*-1)/(sqrt(6)*2*-6)*1 + 5)**2.
5*sqrt(2)/3 + 451/18
Simplify ((sqrt(38)/sqrt(32) + -1 + (1*sqrt(133))/sqrt(7) + -3)*-6*4)**2.
-5760*sqrt(19) + 26316
Simplify (sqrt(75) - 1*(sqrt(75)*-1)**2) + (-1*sqrt(75) + sqrt(75))*6 + ((0 + sqrt(75))*-1 + 3)**2.
-25*sqrt(3) + 9
Simplify (3 + 2*sqrt(175) - (-2 + sqrt(175)*2) - 2*(0 + sqrt(175) + 1 - sqrt(175)))**2.
9
Simplify sqrt(6)/sqrt(3)*-6 + -3 + ((-1*sqrt(72) - sqrt(2)) + 0)**2.
-6*sqrt(2) + 95
Simplify ((sqrt(24) + sqrt(72)/sqrt(3))/sqrt(12) - sqrt(2)) + (sqrt(16)/sqrt(2))/sqrt(4) - (sqrt(112)/(sqrt(16)/sqrt(2)) - sqrt(14))/sqrt(7).
2*sqrt(2)
Simplify 5*(-1 + (sqrt(117)*2*6 + sqrt(117))/(-2*sqrt(9)*3))**2.
65*sqrt(13)/3 + 11165/36
Simplify (sqrt(91)/(6*(-1*sqrt(7) - sqrt(7)))*-2*-5)**2.
325/36
Simplify (-4 + -4 + 2*(sqrt(176) - (sqrt(176) + 1))**2 + sqrt(176))*-5.
-20*sqrt(11) + 30
Simplify 4 + ((sqrt(1100) + -2 + -2 + sqrt(1100) - sqrt(1100))**2 + sqrt(1100) + sqrt(1100) + -1*((1*sqrt(1100))**2 - sqrt(1100)))*1 + 1.
-50*sqrt(11) + 21
Simplify (3*(sqrt(56)/sqrt(2) + sqrt(28)) - (1*sqrt(252) + sqrt(252))/sqrt(9))/(5*(sqrt(576) - 2*sqrt(576) - sqrt(4))).
-4*sqrt(7)/65
Simplify -2 + (3*(4 + (sqrt(125) - (sqrt(125) + -1))) + -3)**2.
142
Simplify (sqrt(408)/(sqrt(288) - sqrt(8) - sqrt(8)))/(sqrt(3) - (sqrt(75) - (4*sqrt(75) + sqrt(75)) - sqrt(75)))*2.
sqrt(17)/52
Simplify (4*(sqrt(200) - (sqrt(200) - (1 + sqrt(200) + (sqrt(200) - (sqrt(200) + sqrt(200) + 2)))))*2)**2.
64
Simplify 4 + -3*((3 + sqrt(637) + sqrt(637) + 3 - sqrt(637)) + -2).
-21*sqrt(13) - 8
Simplify (0 + (sqrt(153) - (sqrt(153) + -1 + sqrt(153) + 2) - (-1 + (sqrt(153) - (sqrt(153) + 1)) - sqrt(153))) + 0)**2.
1
Simplify (-1 + sqrt(112) + -4 + (sqrt(112) + 0)*2)**2.
-120*sqrt(7) + 1033
Simplify sqrt(24)/(s
|
{
"pile_set_name": "DM Mathematics"
}
|
rt n, o, 10.
o, n, 10
Let q = 0 + -25. Let w be (-21)/5 - 5/q. Let b be 2/6*171/57. Put w, -5, 4, b in descending order.
4, b, w, -5
Let j be 5 - (-1 - -9)*102/(-24) - -6. Put -1, j, 0, 5, -2 in increasing order.
-2, -1, 0, 5, j
Suppose 6*l + 74459 = 74429. Sort -1/4, l, -1/2, -0.6, 3 in decreasing order.
3, -1/4, -1/2, -0.6, l
Let p be (6/(-14))/((-2)/7). Let u = -0.9035 - -0.0315. Let g = 0.472 + u. Sort 2, p, g, -5.
-5, g, p, 2
Let o(q) = 2*q**3 - 11*q**2 + 9*q - 17. Suppose -21 = -9*h + 24. Let b be o(h). Let j(r) = r + 13. Let m be j(-13). Sort -3, b, m, -8 in decreasing order.
b, m, -3, -8
Let i = -1.5 - -7.8. Let x = 6.71 - i. Let o = -0.46 + x. Put 2/5, o, -0.3 in descending order.
2/5, o, -0.3
Suppose -3*k = 12*k. Sort -4, 3, -2, k in decreasing order.
3, k, -2, -4
Suppose -2722 + 905 + 907 = -91*u - 910. Let d = 20 + -36. Suppose k = -4*j + 12, 4*j + 9 = 5*k - 3. Sort u, k, d.
d, u, k
Suppose 2*r = 5*h - 67, -4*h + 5*r - 35 = -5*h. Suppose -5 + h = 2*f. Sort 4, -94, f in descending order.
f, 4, -94
Suppose 17*g - 36 = -2. Suppose 10 = g*n - 5*y, 0*y + 2*y + 3 = n. Suppose 3*p = 2*v - 4, 4*p = -0*p + 4*v. Sort p, 13, n in descending order.
13, p, n
Let i be ((-12)/(-18))/((-4)/(-6)). Let z = 588 + -582. Sort i, z, 0, 5 in decreasing order.
z, 5, i, 0
Let r be 6 - 56/(35/5). Put 37/5, r, -1/3 in decreasing order.
37/5, -1/3, r
Let g be (-56)/35*(-175)/(-45). Let q = 6 + g. Let h = -5 + 9. Sort h, q, 0.3, 3 in descending order.
h, 3, 0.3, q
Suppose 235*t - 231*t = -r - 18, -5*t - 10 = -5*r. Put -1, t, 39 in decreasing order.
39, -1, t
Suppose 2*v = 3*g + 9, 3*g + 9 = -501*v + 498*v. Let k(x) = -x**2 - 14*x. Let y be k(-12). Put y, g, 0 in decreasing order.
y, 0, g
Let v(b) = -3*b**2 - 56*b - 261. Let r be v(-10). Sort r, -3, 0, -5, 23 in decreasing order.
23, 0, r, -3, -5
Suppose -4*p = -11 + 7, w - 5*p = 25. Suppose 6*m = 12*m + w. Put 4, m, -3/8, -1.7 in descending order.
4, -3/8, -1.7, m
Let g = -23 + 71/3. Let d = 213652/3 + -71218. Let t = -95/3 - -32. Sort g, d, 5/6, t in decreasing order.
5/6, g, t, d
Suppose -3*q + 6 = q + 3*i, 2*i - 4 = 0. Let k = 14527 + -14524. Sort -1, k, q, -6 in decreasing order.
k, q, -1, -6
Let w be (-7 + 4)/(6/(-1500)*-5). Let p = w + 149. Sort -3, p, -9, 3.
-9, -3, p, 3
Let a = 12665 - 12662. Sort a, -1, 0, 116 in decreasing order.
116, a, 0, -1
Let y be (9/30)/(51/510). Sort 5, -83, y, 1, -5 in descending order.
5, y, 1, -5, -83
Let y(q) = -32*q - 2. Let b be y(-1). Suppose b*k = 29*k. Put k, -11, 2 in decreasing order.
2, k, -11
Let s = -63 + 58.6. Let l = s - -4.4. Let k = -993/7 + 142. Sort k, l, -3 in descending order.
k, l, -3
Let n be 9*(-3)/(-27)*5 - (0 + 27). Put 17, -1, n in decreasing order.
17, -1, n
Let m = -0.01 + -0.39. Let f = 1735 - 1734.9. Put f, m, -0.1, 0.2 in decreasing order.
0.2, f, -0.1, m
Let x = 0 - 0.5. Let s = 1.8857 - 1.9657. Sort 22, x, s in increasing order.
x, s, 22
Let h be ((-1869)/189 + 10)*-36. Let m(z) = 2*z + 1. Let o be m(-6). Let k = -8 - o. Put h, 9, k in decreasing order.
9, k, h
Let a(b) = b**2 - 24*b - 76. Let o be a(27). Put 0, -5, 80, 3, o in decreasing order.
80, o, 3, 0, -5
Suppose 2*g + 16 = -4*h, h + 3*g - 8 = -17. Put 50, h, -16 in ascending order.
-16, h, 50
Let g(k) = k**2 - 2*k - 5. Let t be g(4). Suppose -o + 2*z = 5*z + 11, 0 = 2*o - t*z + 4. Let d be 1 + o*9/(-15). Put d, -3, 6 in ascending order.
-3, d, 6
Suppose 4*d + 13 = 59*f - 62*f, 2*f - 31 = 3*d. Let a be ((-3)/d)/(16/112). Sort -5, a, 5, -18 in descending order.
5, a, -5, -18
Let o be (-1 + (-8)/4)*2/(-3). Let l = o + 43. Suppose 5*n = -3*k - 2*k - l, -3*k + 1 = -4*n. Sort n, 4, 1.
n, 1, 4
Let f(t) = -4*t**3 - t**2 - t - 1. Let q be f(-2). Let d = 631 + -597. Let j = q - d. Put 1/6, j, 5 in decreasing order.
5, 1/6, j
Let v = 2.38 - -1.62. Let y = 160.6 + -160.2. Sort 2/65, v, 0.3, y in decreasing order.
v, y, 0.3, 2/65
Let k(s) = s**3 - 4*s**2 - 4*s - 3. Let t be k(5). Let h be (1/(-4))/(87/435). Sort t, -1/8, h in increasing order.
h, -1/8, t
Let j be -2*(338/104 - 15/6). Sort j, 23, -10, -4, 3/7 in decreasing order.
23, 3/7, j, -4, -10
Suppose 4*u + 2*f = 3*u, 4*f = 12. Let w(i) = i**2 + 5*i + 3. Let j be w(u). Put 5, j, 2, -3 in increasing order.
-3, 2, 5, j
Let t = -1254 + 1254.3. Sort t, -1/11, -2/9, -1/35.
-2/9, -1/11, -1/35, t
Let o = -0.28 - 0.02. Let u = -59 - -55. Let c = u + 4.4. Sort 2/11, c, o in ascending order.
o, 2/11, c
Let a = 12 - 11.6. Suppose -20 = -3*u - 5*z, 0*u + 9 = u + 4*z. Suppose 0 + 2 = 4*d - 5*t, 0 = 5*d + u*t - 25. Put a, d, 5/7 in ascending order.
a, 5/7, d
Let h = 4402.7 - 4402. Sort 4, 0.1, h, -2/7 in descending order.
4, h, 0.1, -2/7
Suppose 0 = -20*g - 63*g - 80 + 163. Sort g, -2, 5, -4, 2 in decreasing order.
5, 2, g, -2, -4
Let s = -32508.1 + 32508. Put s, 1, -2, 9, -7/5 in descending order.
9, 1, s, -7/5, -2
Let g be 2/(8/(-4)) + 6. Suppose -5*t + i + 16 = 0, 6*i - 10*i + 11 = g*t. Put t, 2, 5, 0 in decreasing order.
5, t, 2, 0
Let z be (-18)/(-2) - 45/(1215/234). Sort z, 0.11, 6.
0.11, z, 6
Let n be 12 + 1/(-34)*412. Put -2/3, n, -163, -3 in decreasing order.
n, -2/3, -3, -163
Suppose -80 = -15*b + 130. Suppose 2*z - 5*h = -3*h + b, 39 = 5*z - h. Suppose 2*t + 2 = 0, 4*u = 5*t - 4*t + 13. Sort u, -5, z in descending order.
z, u, -5
Suppose 0 = 5*b, -3*x + 17*b = 2*x + 8*b + 20. Sort x, 10, -7, -5, -1.
-7, -5, x, -1, 10
Let f be (-6)/(-4)*(1/3 + 1). Suppose -7*d + 29 = -6. Suppose 50 = d*n + 5*n. Sort n, 8, f, 1 in descending order.
8, n, f, 1
Let m be (-351)/(-91)*1/6. Let h = m - 25/28. Let a = 0.01 + -0.31. Sort 5, h, a in descending order.
5, h, a
Let o = -247667/95 + 2607. Let w = o - -216/1235. Let u = -17.4 + 15.4. Sort 0.2, u, 0.5, w in descending order.
0.5, 0.2, w, u
Let u be (0/(-14))/(-1 + -1 + -7). Put -4, u, -5, 1538, -3 in descending order.
1538, u, -3, -4, -5
Suppose 45 = p + x - 14, -2*x + 240 = 4*p. Let k(j) = j**3 - 117*j - 19. Let w be k(-11). Let d = w + p. Sort d, 2, -1, 5.
d, -1, 2, 5
Suppose 18 = -q - 3. Let y be 0*(q/9)/(-7). Let r = 2089/3465 - 2/693. Sort -0.09, y, r in decreasing order.
r, y, -0.09
Let l be (576/5)/(-16)*10. Put -3, l, -5, 5 in increasing order.
l, -5, -3, 5
Suppose -b + 2*a + 3245 = 3257, 0 = 4*b + 4*a - 12. Sort b, 8, 12, 2.
b, 2, 8, 12
Let c be -4 - (-2 + 45/8)*-1. Let w be ((-6)/(-4))/(18 - 15). Sort -1, -18, w, c in ascending order.
-18, -1, c, w
Suppose 10*c = -19 - 16 + 5. Let w = 15 + -11. Put 6, 0, c, w in ascending order.
c, 0, w, 6
Let r be (-60)/(-900) - 120/(-225). Let k = -0.57 + -0.03. Let q = -2.4 + k. Put r, q, 0.2 in ascending order.
q, 0.2, r
Let f be -1*6*8/(-12). Suppose 5*o - 40 = 5*n + 4*o, f*n = 5*o - 53. Sort n, -2, 5 in ascending order.
n, -2, 5
Let n = -29 + 26. Let l = 0.39 - 42.39. Let x = l - -45. Put 2, n, x, -17 in decreasing order.
x, 2, n, -17
Let t be 13/(156/(-27)) - (-18)/(-24). Sort t, -30, -5, -4 in increasing order.
-30, -5, -4, t
Let q = -516/37 + 8373/481. Let x = 199/65 - q. Suppose 0 = -i + 5. Put -0.3, x, i, 2 in decreasing order.
i, 2, -0.3, x
Let l(c) = 5*c. Let i be l(-1). Let f = -6153 + 6153. Let s be ((-16)/7 + 2)/2. Sort -2/13, f, i, s in descending order.
f, s, -2/13, i
Let j = 18 - 14. Suppose 5*t + 5*b + 4 = -1, j*t - b = -9. Let f be 2/(-2 + t - -1). Sort 1/4, f, -4, -3 in descending order.
1/4, f, -3, -4
Suppose -6*w + 328*w - 1620 = -2*w. Sort w, -65, 3, -3 in increasing order.
-65, -3, 3, w
Suppose -6*g = -7 + 1. Suppose -2*o + x = -5, 0*o - 2 = -2*o - 2*x. Suppose -25 = 5*s, 8 = -4*k + s + 25. Put k, g, o in increasing order.
g, o, k
Let o = 739 + -775. Let h be 8/5 + (-1 - (-28)/20). Sort 0, o, h in descending order.
h, 0, o
Let w = 41 + -36. Suppose 20 = 9*x - w*x. Suppose 2*g = g + x. Sort -3, 2, 4, g.
-3, 2, 4, g
Suppose 2*d = -5*u + 23, 0 = -4*d + 5*u - 43 + 14. Let y be d*-4*2/(-8). Sort -4, 3, 5, y in increasing order.
-4, y, 3, 5
Suppose 0 = 2*k + f + 4, 4*k + 5*f = -12 - 8. Suppose -5*a = -66 - 54. Let r = -27 + a. Put 1, r, k in increasing order.
r, k, 1
Suppose -2*m - 2*t = 124, -5*m + 5*t - 180 - 80 = 0. Let d be 66/(-17 - -6) + (-53 - 0). Let v = d - m. Put v, 14, -4, 1 in increasing order.
-4, v, 1, 14
Let l = -54.681 + 55.681. Suppose -k + 3*k = 0. Put k, 6, 2, l in ascending order.
k, l, 2, 6
Let b(r) = -2*r. Let c be b(-1).
|
{
"pile_set_name": "DM Mathematics"
}
|
der.
-4, j, f
Let i(y) = 2*y + 13. Let g(p) = -2*p - 19. Let o be g(-7). Let n be i(o). Let r be (14/(-6) + 1)*-3. Put r, 1, n in decreasing order.
r, n, 1
Let p(i) = -2*i**2 - 60*i + 62. Let m be p(-31). Sort -2, -5, 22, m in increasing order.
-5, -2, m, 22
Let o = -5.7 + -75.3. Let m = 83 + o. Let p be 1*(28/2)/(-2). Sort p, 0.3, m in descending order.
m, 0.3, p
Suppose 0 = -44*d + 48*d - 4. Let q = 56 - 730/13. Sort -7, d, q in increasing order.
-7, q, d
Let f be ((-2)/(-5))/((-18)/(-135)). Sort f, -2, 2, -3 in ascending order.
-3, -2, 2, f
Let k = -2036 + 2033. Let z be 9/2 + 1/2. Suppose 7*w + z = 2*w. Put k, 12, w in descending order.
12, w, k
Let l = -53 + 54.5. Let c = l + -0.5. Let p(y) = 2*y - 7. Let n be p(9). Sort n, c, 0.4 in decreasing order.
n, c, 0.4
Suppose 0 = -2*m + 55 - 9. Let n = m - 25. Sort n, -4, 4, 2.
-4, n, 2, 4
Let q be ((-2)/10)/((-48)/(-60)). Put 1/5, 8, q in decreasing order.
8, 1/5, q
Let r = 770 - 774. Sort 6, 1, r, 2 in increasing order.
r, 1, 2, 6
Suppose -2230 = 15*f - 2335. Sort -6, f, -1/2, 0.2 in increasing order.
-6, -1/2, 0.2, f
Suppose 36 = 2*d + 42. Let t be (-2)/(-5)*(4 + 6). Sort 1/4, t, d in decreasing order.
t, 1/4, d
Let i = 473 + -478. Sort i, 104, 4 in decreasing order.
104, 4, i
Let u be (-10)/(-4 - 9/(-6)). Suppose 0 = -r + 5*n + 2, u*r + 4*n + 9 = -7. Put 2, r, 3, 15 in increasing order.
r, 2, 3, 15
Suppose -5*n + 2*f - 11 = -34, -5*f - 17 = n. Let l(t) = t**2 - 23*t - 77. Let w be l(26). Sort n, -1, w.
-1, w, n
Let s be (-1*(-1)/(-4))/(285/(-684)). Sort 0.378, s, 2, -0.2 in descending order.
2, s, 0.378, -0.2
Suppose -4*m = 3*c + 22, -6*m - 10 = -8*m. Suppose -j + 11 = 14. Sort c, -5, -1, j in decreasing order.
-1, j, -5, c
Let n be (-2)/(15/25*4/(-6)). Suppose 2*o = 6*o - n*o. Put 4, -1, o, -3 in descending order.
4, o, -1, -3
Suppose 38*h = 36*h - 2. Let i be 8/12 - 2/3. Put -5, i, 2, h in increasing order.
-5, h, i, 2
Let v be ((-24)/10)/((-3)/10). Let d = 6 - v. Let j be (3*30/(-126))/((-2)/(-14)). Sort -1, d, j in descending order.
-1, d, j
Let c = 5 + -6. Let o = -195 + 198. Sort -4, c, -3, o.
-4, -3, c, o
Suppose -5*z + 390 = 370. Sort z, -3, 2/83.
-3, 2/83, z
Let o = 1 + -14. Let j(d) = d**3 + 7*d**2 + 11*d + 8. Let z be j(-4). Let p = o + z. Put 5, p, -4 in increasing order.
-4, p, 5
Suppose -3*j - 9 = 5*l + 21, l + 28 = -5*j. Sort 7, -12, l, -2 in decreasing order.
7, -2, l, -12
Let s be -2*((-40)/(-12) - 3). Put -359, -5, -0.5, s in descending order.
-0.5, s, -5, -359
Let g = -765 + 766. Sort -3/5, g, 3 in decreasing order.
3, g, -3/5
Let w = 0.4 + 0.6. Let l = -5334 - -5333. Put -0.2, l, 0.5, w in ascending order.
l, -0.2, 0.5, w
Suppose -19*q = -26*q - 7. Sort q, -1/41, 0, 4 in increasing order.
q, -1/41, 0, 4
Let o be (-1)/(13/(-41)) - 3. Let u = 557 + -560. Sort 1, u, o, 2 in descending order.
2, 1, o, u
Suppose 7 = -3*a - 2*q - 0, 2*q + 8 = -2*a. Let o(i) = -7*i**3 - 1. Let r be o(-1). Let f = r + -10. Put 2, a, f in ascending order.
f, a, 2
Let w(n) = -20*n + 942. Let s be w(50). Sort -0.5, s, -1/7 in decreasing order.
-1/7, -0.5, s
Suppose -4*g = 5*v - 567, 4*v + 169 = 3*g - 295. Sort g, 5, 1.
1, 5, g
Let n = -23.954 - 0.046. Let i = n + 27. Sort -0.5, 2/3, i in decreasing order.
i, 2/3, -0.5
Let g be 5 - (1 + 0 + 3). Let v be g - 6*4/(-8). Suppose v*o - 2*w + 3*w = 0, -2*o - 2*w - 6 = 0. Put 4, o, -2 in ascending order.
-2, o, 4
Let h be 123/21 + (-426)/497. Put 0, 3, h, 691 in ascending order.
0, 3, h, 691
Let n be 1/4 + (-87)/12. Let m be 30/795 - (-2484)/(-1219). Sort -3, m, n.
n, -3, m
Suppose -2*n + 0*n + 4 = 0. Let v be 49/147*(-1 + 10). Suppose v*q - n = -14. Sort 9, 2/7, q in decreasing order.
9, 2/7, q
Let g = -282 + 281. Let a(u) = u**2 + 7*u - 3. Let n be a(-6). Sort n, -3, g in decreasing order.
g, -3, n
Suppose 2*w - 3*w + 3 = 0. Let h = -26 + 24.7. Let t = -1.4 - h. Sort 0.3, t, w in decreasing order.
w, 0.3, t
Let m = -44 - -43.942. Let y = m - 0.042. Let g be -3*((-2)/4 - -1). Put g, -5, y in descending order.
y, g, -5
Let x(s) = -2*s + 7. Let o be x(11). Put o, -4, 3, -3 in descending order.
3, -3, -4, o
Let r = 87 + -85. Let d be 0/1 - r - 3. Put d, 4, 0, -1 in ascending order.
d, -1, 0, 4
Let r = -166.2 + 160.2. Put -1/19, -1, 0.1, r in descending order.
0.1, -1/19, -1, r
Suppose 3*n + 5*l - 9 = 10, 4*n + 3 = -l. Let x(c) = -6*c**3 - 2*c**2 - 2*c - 1. Let o be x(-1). Let h = n + o. Sort 1, -4, h in descending order.
h, 1, -4
Suppose -2*y - 67 + 90 = 5*b, -4*b - 8 = -5*y. Put -7, y, 1, 2 in ascending order.
-7, 1, 2, y
Suppose 30 = -10*d - 20. Let j(r) = -r**2 - 5*r + 7. Let x be j(-6). Let w be 1 - x - 2/(-2). Put -4, d, w in decreasing order.
w, -4, d
Let t = -109/230 - 3/115. Sort -66, t, 0 in descending order.
0, t, -66
Suppose -8*l + 13 = -11*l + u, -4*l + u - 16 = 0. Put l, -2, 211 in decreasing order.
211, -2, l
Let w = 2821 - 2823. Sort w, -38, 18 in descending order.
18, w, -38
Let l be (-1551)/1914 - (14/12 + -2). Put l, -3, 6 in increasing order.
-3, l, 6
Let n = 427 - 429. Sort -4, 2, 225, n in increasing order.
-4, n, 2, 225
Suppose 36*p + 546 - 1986 = 0. Sort 0, p, -4, -5 in ascending order.
-5, -4, 0, p
Let h be (7 - 7) + 5/(-1). Suppose 5*s - 27 = -c, 3*s - c = s + 8. Suppose 3*m = s + 7. Sort m, h, 1 in decreasing order.
m, 1, h
Let g = 39 - 35. Put g, -5, -2 in decreasing order.
g, -2, -5
Suppose -3*a = 4*g - 5 - 4, -a = 1. Suppose -7*s - 20 = -g*s. Let t = -4 - -2. Put -4, t, s in descending order.
t, -4, s
Let c = -1181 + 1179. Sort -266, 5, c in decreasing order.
5, c, -266
Suppose 4*b - 83 = -19. Let h = b - 16. Sort h, 4, 1.
h, 1, 4
Let u = 50.985 + 0.015. Let y = u + -55.02. Let v = y - -0.02. Sort 1/2, v, -5 in descending order.
1/2, v, -5
Let s = -730 + 733. Sort 35, 5, s in descending order.
35, 5, s
Let k = 2.17 - 2.07. Sort -2/9, k, -2/11, 0.05 in descending order.
k, 0.05, -2/11, -2/9
Let a be (-118)/90 - (-4)/(-18). Let t = a - -1/30. Let g = 110 + -553/5. Sort 4/5, g, t in descending order.
4/5, g, t
Let i = 198 + -198.3. Let d = 5.1 - 1.1. Let t = -3.7 + d. Sort i, 5, t in decreasing order.
5, t, i
Let f = -7 - -7.6. Let l(a) = -19*a**2 - 38*a + 2. Let v be l(-2). Sort v, 0, f in decreasing order.
v, f, 0
Let k = 28 + -147. Let n = k + 119.3. Let y = 0.3 + 0.7. Sort y, n, -2/13 in decreasing order.
y, n, -2/13
Let v = 0.4194 - -0.0806. Let q = 92 - 551/6. Put q, v, 5 in decreasing order.
5, v, q
Let d be 2/16 + 15/8. Suppose d*q - k - 4*k = -21, 5*q - 5*k = -60. Let w = -10 - q. Sort -1, -5, w in increasing order.
-5, -1, w
Let y be (-18)/15 - (1 + -2). Let p = -5.5 - -8.64. Let l = p + -0.14. Sort 2/3, y, l.
y, 2/3, l
Let u be (172/(-645))/(4/(-6)). Put u, 6, 1/4, 8 in decreasing order.
8, 6, u, 1/4
Let h be -2 - (0 + 0) - -2. Suppose y - 8 = -4*p - 1, -3*p = -2*y + 3. Let r(w) = w**3 - 5*w**2 + 6*w - 6. Let i be r(4). Put i, p, h in descending order.
i, p, h
Suppose 534 = -2*i + 532. Sort i, 2, 4, -7.
-7, i, 2, 4
Suppose -g - 23 = -5*g - 3*i, g - 4*i - 20 = 0. Suppose 0 = -4*h - 0*h - 4*j - g, 4*h + 26 = 2*j. Sort 0.4, -0.3, 0.2, h in increasing order.
h, -0.3, 0.2, 0.4
Let x be ((-1)/(-3))/(-1*3). Let n = -1389/2 - -4163/6. Sort 7, n, x in decreasing order.
7, x, n
Let s(v) = 17*v**2 + 38*v + 3. Let b be s(-2). Put b, 2/51, -4 in ascending order.
b, -4, 2/51
Let y = 160 + 81. Let g = -1209/5 + y. Put 1/5, -6, g in decreasing order.
1/5, g, -6
Let f be (-67)/(-13) - (1 - -4). Sort -4/3, 0.1, f in ascending order.
-4/3, 0.1, f
Suppose -2*h - 3*q - 2 = -q, 1 = 3*h + q. Put h, 0, 3, -14 in descending order.
3, h, 0, -14
Let o be (-3)/12*-6 + 20/(-8). Put o, -7, 4, 0.3 in increasing order.
-7, o, 0.3, 4
Let k be (-33)/138*-8 + -35 + 33. Let m = 0.5 + 1.5. Let u = m + -2.2. Sort k, u, 0.3.
u, k, 0.3
Let r = -0.295 - -0.195. Put r, -16, 0.4, -2/7 in descending order.
0.4, r, -2/7, -16
Let t = -1 + -25. Let q = -25 - t. Sort 3, 4, q.
q, 3, 4
Let j = -127 + 128. Let p = -2 - -2. Let x be (p - 1)/(1/(-4)). Sort x, 0, j in descending order.
x, j, 0
Let t(p) = 3*p + 6. Let x be t(-2). Let n be (-2 - x) + -4 + 3. Let f be (n/6*2)/(-1). Sort -4, f, -6 in descending order.
f, -4, -6
Let j(b) = 10*b + 1. Let z(d) = -11*d. Let r(h) = -7*j(h) - 6*z(h). Let g be r(-3). Sort g, 2/7, 1/5 in ascending order.
1/5, 2/7, g
Let m(z) = 2*z +
|
{
"pile_set_name": "DM Mathematics"
}
|
vided by j.
32
Let m(w) = -8*w + 2. Let j(t) = -59*t - 4. Let h be j(-1). Calculate the remainder when m(-2) is divided by (42/4)/(-4 + h/10).
4
Let k(o) = o**2 - o - 17. Let v = -432 + 437. What is the remainder when 87 is divided by k(v)?
0
Suppose -1499 - 767 = -11*i. Let u = i - 199. What is the remainder when 77 is divided by u?
0
Suppose -2*v + 482 = r, 38*v + 1958 = 4*r + 36*v. Calculate the remainder when r is divided by 45.
38
Calculate the remainder when 5827 is divided by (48/(-160))/((-7)/4690).
199
Suppose 2*u = -5*s + 6*s + 213, 2*s = u - 99. Let b = -100 + u. Calculate the remainder when 33 is divided by b.
6
Suppose -4*b + 4*z = -86632, 3*b + 5*z = 23504 + 41478. What is the remainder when b is divided by 60?
59
Suppose 0 = 2*o - 51 - 23. Suppose 0 = 193*g - 59 - 12679. What is the remainder when g is divided by o?
29
Suppose -24*x = -31*x + 2282. Let f = -225 + x. Let o = 40 + -23. What is the remainder when f is divided by o?
16
Suppose 3*p = -50 + 323. What is the remainder when p is divided by (4/15)/2 - (-57036)/2205?
13
Let d(v) = v**3 + 15*v**2 + 5*v + 77. Let y be d(-15). Suppose 6*p - p + 79 = y*o, 0 = p - 5. Let m = 93 + -66. What is the remainder when o is divided by m?
25
Let s(o) = -o**3 - 13*o**2 - 78*o - 238. Calculate the remainder when 412 is divided by s(-8).
16
Calculate the remainder when (62 - (-11 + 15)) + 16/(-2) is divided by 24.
2
Let j = 21 + -46. Let p = -22 - j. What is the remainder when (9/p - -6) + -3 is divided by 2?
0
Let g(d) = 1198*d + 6880. Calculate the remainder when g(-5) is divided by 90.
80
Let i be ((-3)/1)/((12/(-200))/(-1)). Let b = 123 + i. What is the remainder when b is divided by 15?
13
Calculate the remainder when -3 + 78/18 - (-596)/3 is divided by 51.
47
Let z be (-21 + 15)*(-1)/(-2). Calculate the remainder when (-1 - z)*(-76)/(-8) is divided by 7.
5
Let a(d) = -d**2 + 14*d - 11. Let i(m) = -m + 41. Let f be i(35). What is the remainder when 102 is divided by a(f)?
28
Suppose z = -a + 1536, -a - 3*z + 1112 = -414. Calculate the remainder when a is divided by 172.
165
Calculate the remainder when 260 is divided by (234/42)/(-9*9/(-567)).
26
Calculate the remainder when -3 - (-3)/2 - 1828/(-8) is divided by (-25)/3*(-246)/410.
2
Suppose 313 = -3*n + r, -r = -0*n - 2*n - 208. What is the remainder when (416/40)/((-6)/n) is divided by 31?
27
Let m(a) = -15*a + 137. Let y be m(7). Suppose 5*q - y = q. What is the remainder when 47 is divided by q?
7
Let r be 4 + 14/(-10) + (-2)/(-5). Calculate the remainder when 1/(r/141)*(4 + -3) is divided by 13.
8
Let j be (5/10)/(1/406). Suppose -q - j - 20 = -3*c, -2*c = q - 147. What is the remainder when c is divided by 27?
20
Let i be (2 + 1)*(-3 + 51). Suppose 8*x + i = 20*x. What is the remainder when x is divided by 7?
5
Let g(b) = 2*b**3 - 4*b**2 + 2*b - 3. Let c be g(3). Let y = c - 19. Suppose 0 = 2*n + y*n - 396. What is the remainder when n is divided by 17?
14
Let l be 2/14 + (-135)/(-35) + -10. Let r(b) = -2*b**2 - 8*b + 10*b**2 - 9*b**2 + 11. Calculate the remainder when r(l) is divided by 8.
7
Let y(g) = 14*g**2 + 88*g - 113. Calculate the remainder when y(13) is divided by 50.
47
What is the remainder when 498 is divided by 3 + 0 + (-79)/((80/(-10))/8)?
6
Suppose 2*z - 4*r + 168 = 3490, 3*z - 5023 = -4*r. Calculate the remainder when z is divided by 153.
139
Suppose 20*p - 41*p + 149*p - 1214720 = 0. What is the remainder when p is divided by 12?
10
Let t(r) = 3*r**2 - 11*r - 23. What is the remainder when t(10) is divided by (-10)/(2/(2 + -3))?
2
Suppose 30*a = 742 + 398. What is the remainder when 2233 is divided by a?
29
Let f be 11/3 + ((-5)/3 - -2). Suppose -f*l + 4*g = 5*g - 161, -2*l - 4*g = -84. What is the remainder when l is divided by 10 - (-2 + -1 + 2)?
7
Suppose -116*g + 198778 - 99378 + 322840 = 0. Calculate the remainder when g is divided by 35.
0
Let o be 437 - -1 - (2 - -1). Let y(v) = -v**3 - 5*v**2 - 316*v - 1231. What is the remainder when (-4)/(-6) + o/9 is divided by y(-4)?
15
Suppose -q = 4*x + 2*q - 38, 0 = -7*x + 4*q + 122. Calculate the remainder when 1130 is divided by x.
10
Let i(a) = -10*a - 136. Suppose s - 3*p - p - 48 = 0, -2*p = 2*s - 126. Calculate the remainder when s is divided by i(-16).
12
Suppose -139*i + 190 = -120*i. What is the remainder when ((-67)/(-3))/(7/21) is divided by i?
7
Suppose 709 - 419 = 29*v. What is the remainder when 119 is divided by v?
9
Let k be 333/117 + 2/13 + -3. Suppose k = 79*y - 70*y - 351. Calculate the remainder when y is divided by 14.
11
Let j(f) = 46*f**2 + 10*f - 44. Let s be j(11). Calculate the remainder when s/(-22)*(-1)/2 is divided by 27 - 2*(-2)/(-4).
24
Suppose 0 = -45*l + 39*l + 390. Let j = l + -56. Let x = 31 + -14. Calculate the remainder when x is divided by j.
8
Let i = -8131 - -8158. What is the remainder when 610 is divided by i?
16
Let r = 8 + 8. What is the remainder when 4 + 1 + 3 + (2 - -15 - -31) is divided by r?
8
Suppose 1267 - 8377 - 3858 = -6*s. Calculate the remainder when s is divided by 31.
30
Let q(k) = -7*k**2 + 42*k - 12. What is the remainder when 6332 is divided by q(4)?
40
Let v = -2635 + 2701. What is the remainder when 1249 is divided by v?
61
Suppose 0 = 10*r - 5*r + 155. Let n = r + 34. Suppose 0 = -n*a - 4*d + 29, a = 4*d - 2*d + 13. Calculate the remainder when 32 is divided by a.
10
Let y be 68 + (-3 - 12)/3. Suppose y*q - 68*q = -305. Let p = -12 - -21. What is the remainder when q is divided by p?
7
Let f be 2/(-6) - ((-84)/(-18))/(-14). Let c(z) = -z**3 - z**2 - 2*z + 70. Calculate the remainder when c(f) is divided by 38.
32
Suppose -2*g + 0*g = 2*g. Suppose g*j + 249 = s - 3*j, 2*s = -3*j + 498. Calculate the remainder when s is divided by 23.
19
Let m = -153 + 158. Suppose -m*n + 3*n + 102 = 0. Calculate the remainder when n is divided by 13.
12
Let z(v) = 2*v**2 - 1. Let k = -123 - -127. What is the remainder when 117 is divided by z(k)?
24
Let j be (-48)/18 + 12/(-9). What is the remainder when 19 is divided by (-16)/(j + 6 + -4)?
3
Suppose 0 = 2*l - x + 225, -3*l = l + 4*x + 468. Let u = -83 - l. Calculate the remainder when 56 is divided by u.
25
Let q(w) = w + 2. Let b be (4 + (-2 - -2))*1. What is the remainder when (-6)/9 - (260/3)/(-4) is divided by q(b)?
3
Let q(s) = -s**3 - 5*s**2 + 154*s + 1205. Calculate the remainder when 2000 is divided by q(-9).
141
Suppose -2*s - s = 0. Suppose -6*r + 156 = -s*r. What is the remainder when 9 + (6 - (6 - 91)) is divided by r?
22
Let i(t) = 13*t + 1. Let f be i(3). Calculate the remainder when -5 + (11 - 0) + f + 1 is divided by 32.
15
Let c(t) = -7*t - 3. Let g = -2389 + 4456. What is the remainder when (g/(-106))/(3/(-14)) is divided by c(-7)?
45
Let w = 959 - 923. What is the remainder when 118 is divided by w?
10
Calculate the remainder when 841 is divided by ((-109)/(-654))/((-1)/(-354)).
15
Suppose -104 = -5*u + 2*x + 54, 4*x = 5*u - 156. Let w(h) = -h**3 - 2*h - 1. Let a be w(2). Let c = a + u. Calculate the remainder when 56 is divided by c.
18
Let m(p) = 18*p - 303. Let w(s) = 7*s - 2. Let l be w(-7). Let o = l - -80. Calculate the remainder when m(20) is divided by o.
28
Let p(r) = 13*r - 7. Let w(g) = 2*g**2 - 7*g. Let k be w(4). Suppose 0 = -5*f - o + 2*o + 23, f + 8 = -k*o. What is the remainder when p(f) is divided by 20?
5
Suppose -f - 41 = -q, 4*q - 145 = 5*f + 18. Calculate the remainder when 201 is divided by q.
33
Suppose -2*m + 39 = -m + 4*o, 4*m - 61 = 3*o. Let d(t) = 2*t + 16. Calculate the remainder when d(m) is divided by 14.
12
Suppose -2*n - 64 = -4*u, -10*u + 4*n - 27 = -191. Suppose -6*i + 2*z = -i - 256, -2*z + 194 = 4*i. Calculate the remainder when i is divided by u.
14
Let y = 9285 - 8952. What is the remainder when 341 is divided by y?
8
Let w(g) = -g**2 - 9*g - 35. Let h be w(-10). Let d = -40 - h. Let o(p) = -p**3 + 4*p**2 + 7*p. Calculate the remainder when 109 is divided by o(d).
9
Let k be ((-12)/9)/(3*2/18). What is the remainder when (-64)/(-8) - -17 - k is divided by 272/28 + (-2)/(-7)?
9
Let v = 22 + -13. Calculate the remainder when 55 is divided by -3*-3*14/v.
13
Let q(m) = -m**2 - 2*m + 8. Let i(n) = -n**3 - 4*n**2 + 3*n + 11. Let s be i(-2). What is the remainder when 24 is divided by q(s)?
4
Suppose 173 = 3*g - 4
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + l. Let g(z) = 3*p(z) + u(z). Let r = -2559 + 2563. What is the units digit of g(r)?
3
Let m(k) = -1042*k - 1. Let b be m(-1). Suppose -1110 = -3*r + b. What is the tens digit of r?
1
Let s be (78/(-5))/(6/(-15)). Suppose 28675 = s*k - 2*k. What is the tens digit of k?
7
Let g(s) be the first derivative of -s**2/2 - 15*s + 29. Let k be g(-18). What is the units digit of ((-55)/(-15) - k)*21?
4
Suppose 98760 = 117*a - 105*a. What is the units digit of a?
0
Suppose 17 = 60*p - 43. Suppose 2*a - 12 = m - 5*m, 5*m = -a + 21. What is the tens digit of p + 75 - (m - (-2 + 4))?
7
Suppose -2*o + 42 = -3*f - 156, f = -2. Let g = o + 86. What is the tens digit of g?
8
Let o(p) = 12*p**2 - 18*p + 97. Let m be o(7). Let b = -232 + m. What is the tens digit of b?
2
Let y = 2567 + 4442. What is the tens digit of y?
0
Let t(b) = 8*b + 5. Let y be t(7). Let k = y + 123. What is the tens digit of k?
8
Suppose 5*h + 153 - 1508 = 0. Let m = 3200 - 3198. Suppose h = m*l + 3*q, -4*q - 134 = -l - 5*q. What is the hundreds digit of l?
1
Let l(m) be the second derivative of 0 + 1/2*m**3 + 17*m - 4*m**2. What is the units digit of l(6)?
0
Let y(f) = f**2 + 9 + 1 - 2 + 5*f. Let g be y(-4). Suppose -2*p + 5*u = -57, g*u = 2*p + p - 75. What is the units digit of p?
1
Let x be (8 + (-6 - 4))*-1*2. Suppose -2520 = -x*t + 364. What is the hundreds digit of t?
7
Let s = -164 - -168. Suppose -s*d + 1323 = -d. What is the hundreds digit of d?
4
What is the units digit of (-1*147)/(12*(-21)/9072)?
2
Let z = 32 - -80. Let t = z - -354. What is the tens digit of t?
6
Let h(r) = -236*r + 854. What is the hundreds digit of h(-17)?
8
Let o be (4 - 42/9)/((-4)/6). Let z = o - 1. Suppose z = -2*l - l - 3*d + 81, 0 = 5*d - 15. What is the units digit of l?
4
Let y(g) = 89*g**2 - 87*g + 422. What is the units digit of y(11)?
4
Suppose -m + 59315 = 7*m + 21099. What is the tens digit of m?
7
Let y(h) = h**3 + 6*h**2 - 7*h + 3. Let x be y(-7). Suppose 21*p - 22 = 230. What is the units digit of -2*214*-1*x/p?
7
Let j(v) = -2*v**2 - 59*v - 19. Let u be j(-29). Suppose -u*m + 15*m - 3976 = -3*l, -5*l = -5*m - 6640. What is the thousands digit of l?
1
Let d(h) = h**2 + 1020*h - 510*h + 10 - 2 - 507*h. Let g be (-8)/12 + 74/(-6). What is the hundreds digit of d(g)?
1
Let w(b) = -b**3 + 10*b**2 - 18*b + 16. Let f be w(8). Suppose 5*c + 3 = -2, -o + 5*c + 473 = f. Suppose 21*g + o = 25*g. What is the tens digit of g?
1
Let z(n) = -2*n**3 + 145*n**2 - 141*n - 9. What is the units digit of z(71)?
3
Let n(l) = l**3 - 5*l**2 + 3*l + 9. Let v be n(4). Suppose 532 = 2*j + 2*t, -v*j + 1309 = -5*t + 3*t. What is the tens digit of j?
6
Let f(a) = a**2 + 5*a - 14. Let o = -39 + 44. Let b be (4/o)/(4/(-60)). What is the units digit of f(b)?
0
What is the units digit of -13 - -1869 - 8 - 13?
5
Let u = 6193 + -2667. What is the hundreds digit of u?
5
Suppose 0 = q - 4*q + 12. Let k(v) = v**3 + 2*v**2 + 2*v. Let p(c) = 6*c**3 + 11*c**2 + 10*c - 1. Let d(l) = -11*k(l) + 2*p(l). What is the units digit of d(q)?
4
Let q = -3864 - -10452. What is the units digit of q?
8
Suppose 3*b - c - 17 + 0 = 0, -3*c + 5 = 5*b. Suppose 8*j + 2*i = 4*j + 1738, b*j - 1729 = -5*i. What is the hundreds digit of j?
4
Let g(h) = 7*h - 35. Let l be g(11). Suppose -45*z + 252 = -l*z. Suppose -2*u + z = u. What is the tens digit of u?
2
Suppose 2*s - 240 = 346. Suppose 5*y = v + 4*y + 180, y - 1060 = 6*v. Let p = s + v. What is the units digit of p?
7
Suppose 38*j = -33*j + 522986. What is the units digit of j?
6
Let w(r) = -2*r + 47. Let p be w(22). Let g be p + -2 + 1 + -2. What is the tens digit of g + -1 + 110/2?
5
Let y(v) be the first derivative of -2 + 12 + 15*v + 3 - 4*v**2 - 2. What is the units digit of y(-10)?
5
Let s(w) be the first derivative of -w**2/2 + 6*w + 3. Let p be s(6). Suppose -2*q + 8 = -p*q. What is the units digit of q?
4
What is the hundreds digit of 441096/87 + 160/(-2320)?
0
Let y(s) = 347 + 294 + 7*s - 678. What is the units digit of y(8)?
9
Let s = -3047 + 10649. What is the hundreds digit of s?
6
Let d be ((-24)/60)/(-1*(-2)/(-30)). What is the tens digit of (-36)/(-16)*160/d?
6
Suppose 2*x - x - 4*g = 24715, 2*x + 3*g = 49397. What is the tens digit of x?
0
Suppose -4*z + 6 = -2*j, 5*z + 30*j - 33*j - 7 = 0. What is the tens digit of 564 + 8 + (-2)/4*z?
7
Suppose -8*h + 11*h + 26128 = 4*w, -3*w - 5*h + 19567 = 0. What is the hundreds digit of w?
5
Let r be ((-20)/(-15))/(2/3). Suppose 0 = 3*d + 2*z - 26, 0*z = -d - 2*z + 6. Suppose -r*g + 1656 = d*g. What is the tens digit of g?
3
Let b(t) = -t**3 + 7*t**2 + 8*t - 12. Let s be b(8). What is the tens digit of (-27850)/(-30) + (-8)/s?
2
What is the units digit of 6*14/((-140)/(-46915))?
9
Let z be ((-66)/(-15) - 5)/(1/(-15)). Let f = 21 - z. What is the units digit of f/(-42)*((-3)/3 - 6)?
2
Let a = 745 - 349. What is the units digit of a/(-45)*(-98 + 3)?
6
Let b(q) = q**3 - q**2 + 3*q - 3. Suppose 2*i - 6*i + 76 = 0. Suppose i - 3 = 4*a. What is the units digit of b(a)?
7
Let o = -886 - -1391. Let k = o - 220. Suppose -c - k = -3*j, j - 5 = -5*c + 106. What is the tens digit of j?
9
Let s = 55 + -35. Let r = s - -20. Suppose -r*b = -37*b - 381. What is the tens digit of b?
2
What is the hundreds digit of ((-2358)/(-90))/((-2)/(-10))*39*1?
1
Let y(w) = 7*w**2. Let t be y(1). Suppose -2*u - 5*b + 56 = -2*b, -u - 5*b = -42. Let q = t + u. What is the tens digit of q?
2
Let a = 30 + -20. Let c(y) = y**3 - 9*y**2 + 10*y - 23. Let s be c(a). Suppose 0 = -2*j - 2*f - f + s, 0 = -3*j + 3*f + 243. What is the units digit of j?
4
Suppose 8 + 2 = 2*k. Suppose -5 = k*p - 30. Suppose p*m - 264 - 441 = 0. What is the units digit of m?
1
Let h = 4815 - 256. What is the hundreds digit of h?
5
Suppose 1061*u - 875*u = 1435734. What is the tens digit of u?
1
Suppose -2*l + 2*n = 2, 0 = -n - 1 + 4. Suppose 3*t - 284 = -5*x, 0 = l*t + 2*t + 2*x - 388. What is the units digit of t?
8
Suppose -2*k + 3*k - 196 = s, -s - 3 = 0. Suppose k = 2*a - 55. What is the hundreds digit of a?
1
Let x = 152 - 157. What is the tens digit of x + 325 + 6 + -5?
2
Let w(f) = f**3 - 13*f**2 - 15*f - 103. What is the units digit of w(15)?
2
What is the units digit of 17/(8*15/77160)?
1
Let i be 2*17 + (-40)/(-20). Suppose i = 7*g - 11*g. Let l(s) = s**3 + 12*s**2 + 12*s - 7. What is the tens digit of l(g)?
2
Let c(a) = -6 - 3 + 101*a - 24 - 122*a - a**2. Let q be c(-19). Suppose -4*w = -q*o + 633, 0*w = -2*o + w + 252. What is the tens digit of o?
2
What is the ten thousands digit of (-16)/20*10149300/(-280)?
2
Suppose -4*z + 2329 = 3*i - 0*i, 5*z - 758 = -i. Suppose 0 = -8*t + i + 1257. What is the units digit of t?
5
Let y = 351 + -342. Suppose 4926 - 525 = y*q. What is the units digit of q?
9
Suppose 4*l - 331*c = -326*c + 54650, 40989 = 3*l - 3*c. What is the ten thousands digit of l?
1
Let d(t) = 742*t**2 + 33*t - 87. What is the tens digit of d(4)?
1
Suppose -96*u + 84*u - 60 = 0. Let s(b) = -183*b - 99. What is the units digit of s(u)?
6
Let c be (-8 - -10)*1/((-2)/(-527)). What is the tens digit of c + (39/(-3) - -8)?
2
Let w(x) = 81*x**2 - 4*x + 16. Let k = -437 + 440. What is the units digit of w(k)?
3
What is the units digit of (86/4)/(399/959196)?
6
Let s be 5 - (2 - -2) - -1. Suppose -h - 8516 = -3*v + 3*h, -s*v + 5700 = 3*h. What is the tens digit of v/33 - (-12)/(-66)?
8
Let y(a) = -a**3 - 9*a**2 + 12*a + 142. What is the hundreds digit of y(-17)?
2
Suppose 42*c = -184 - 236. What is the tens digit of 87 - (c + 5/((-5)/(-5)))?
9
Suppose -2*q - 10 = 0, 2*r - 38*q = -39*q + 32231. What is the thousands digit of r?
6
Suppose -4*g - 360 + 80 = 0. Suppose 2*z + 221 = -47. Let l = g - z. What is the units digit of l?
4
Let o(z) = 62*z - 50. Let g(p) = -32*p + 25. Let b(w) = -5*g(w) - 2*o(w). What is the hundreds digit of b(10)?
3
Suppose 0*f = r - 3*f + 12, -11 = -2*r - f. Suppose m - 2060 = -r*m. Suppose -5*v + 1695 - m = 0. What is the units digit of v?
6
Let h = 2 + -17. Let m be (-16)/(-6)*h/(-20). Suppose 2*o + 4*y - 292 = -2*o, -m*o + 4*y + 140 = 0. What is the units digit of o?
2
Let o = -78 + 81. Suppose -o*z = j - 163, -2*j + 5*z + 97 = -207. What is the tens digit of j?
5
Let b(u) = -u**3 + 10*u**2 - 8*u - 5. Let p be b(9). What is the hundreds digit of 6/p + (20482/
|
{
"pile_set_name": "DM Mathematics"
}
|
e c?
True
Let s(h) = -h**2 + 8*h - 1. Does 15 divide s(4)?
True
Let k = 9 - -47. Is k a multiple of 19?
False
Suppose o + 36 = 5*o. Let b = o - 4. Suppose b*h = 73 + 2. Is 15 a factor of h?
True
Let b be 1 + 3 - 2/1. Suppose b*h = 8 + 4. Does 6 divide 134/h - (-4)/6?
False
Let d = -9 - -34. Suppose d = 3*j - 41. Suppose 3*l + 7 - j = 0, -17 = -4*b + 3*l. Is 5 a factor of b?
False
Let j = -55 + 82. Let m = -13 + j. Is m a multiple of 6?
False
Let l = 1 - 1. Suppose -2*c + l*c = -80. Does 20 divide c?
True
Suppose -6*i - 80 = -422. Does 19 divide i?
True
Suppose -2*x + 21 = 5*m, -28 = -0*m - 4*m + 4*x. Let i(c) = c**3 - 4*c**2 + 4*c - 7. Is i(m) a multiple of 19?
True
Suppose 0 = -5*x - 0 - 5. Is 12 a factor of (-300)/(-18) + x/(-3)?
False
Suppose 4*b - 7 - 13 = 0. Let u = b - -31. Suppose k + 2 = -5*g, -2*k - g = k - u. Does 6 divide k?
False
Let v be (-5 - -2)*2/2. Is (-1 + v + 3)*-9 a multiple of 9?
True
Suppose -2*k - k = 0. Suppose 3 - 8 = 5*u, -3*q - 2*u + 16 = k. Suppose -3*d = -q - 9. Is 5 a factor of d?
True
Let o(b) = b**3 + 4*b**2 + b - 4. Let t be o(-3). Suppose t*c = c + 14. Is 7 a factor of c?
True
Let b(w) = w**2 - w + 4. Let q be b(0). Suppose q*l + t - 21 = 2*t, -4*l = -5*t - 41. Suppose -31 = -2*u + 2*i + 5, 4*u + l*i - 56 = 0. Is u a multiple of 8?
True
Suppose -2*y = y - 3. Suppose o = y + 2. Is 12 a factor of -1 + o/(9/96)?
False
Let c(r) = 34*r + 2. Let f(p) = p + 5. Let y be f(-4). Is 18 a factor of c(y)?
True
Let o be 6/(2/4 - -1). Let z(h) = h**2 - 4*h + 2. Let w be z(o). Suppose -w*b = v - 51, b - 4 = 2*v + 14. Is b a multiple of 12?
True
Suppose 2*d + 3*u + 4 + 26 = 0, -4*u = -2*d - 30. Let l = 31 + d. Is 4 a factor of (3 + -1)*l/4?
True
Suppose 0 = -6*l + 12*l - 1080. Is 20 a factor of l?
True
Suppose z + 2*k - 7 = 0, 0 = 4*z - 0*z - 2*k - 68. Let p be 66/z + 2/(-5). Suppose 0*x - 28 = -p*x. Is 7 a factor of x?
True
Let i(p) be the third derivative of -p**4/24 - 2*p**2. Let h be i(0). Suppose -5*q + 45 = -h*q. Is 8 a factor of q?
False
Let a(x) = -x + 9. Suppose -5*w + 6 = -29. Let j be a(w). Suppose -2*f = 2*r - 6, 2*r + f - 10 + j = 0. Is 3 a factor of r?
False
Let o be -6 - (-2)/((-6)/9). Let x = o - -13. Is x a multiple of 2?
True
Let t(x) = 14*x**3. Does 14 divide t(1)?
True
Suppose -5*w + 5*r + 35 = 0, 5*r - 41 + 13 = -4*w. Suppose -3*k + 12 = 2*z - w*k, 36 = 4*z - 4*k. Is z a multiple of 12?
True
Is ((-184)/10 - 2)/(24/(-160)) a multiple of 34?
True
Let a(s) = 3*s. Let k(j) = 5*j. Let t(c) = -8*a(c) + 5*k(c). Let q be t(-1). Is ((-56)/(-12))/(q/(-6)) a multiple of 11?
False
Let s = 129 + -65. Does 16 divide s?
True
Let r(p) = -4 - 1 - 1 - 8*p + 1. Is 27 a factor of r(-5)?
False
Suppose 1 = 5*c - 14. Suppose -c*x - 60 = -8*x. Is 7 a factor of 200/x + (-1)/(-3)?
False
Let r be (-2)/(-7) + (-8672)/(-28). Suppose 2*f - i - 98 = 0, 5*i - 70 = 5*f - r. Does 25 divide f?
True
Suppose -5*q - 2*v - 1561 = -v, v = 3*q + 943. Let b be (-2)/7 + q/7. Let d = b - -92. Is 16 a factor of d?
False
Let d(b) = -24*b - 5. Is 24 a factor of d(-5)?
False
Let n(c) = 56*c**2 - 2*c. Is 29 a factor of n(-1)?
True
Let z(q) = -q**2 - 9*q - 9. Let n be z(-7). Suppose 0 = -r - 4*d - 9, -r + d + 7 = -3*d. Let s = r + n. Does 4 divide s?
True
Let s = -15 - -71. Does 17 divide s?
False
Let v = -13 + 10. Let h be (v - 0)/((-9)/6). Suppose 0 = h*t - 7*t + 305. Does 25 divide t?
False
Is 14 a factor of -1 + 2 + (-276)/(-4)?
True
Let m(p) = 2*p + 2 - 2*p + p. Let u = -18 + 24. Is 8 a factor of m(u)?
True
Let y(s) = s**3 - 4*s**2. Let p be y(4). Suppose 5*v - 4*g + 18 = -p*v, 3*g + 33 = -4*v. Let d = v - -11. Is d a multiple of 2?
False
Let j = 110 - 45. Does 13 divide j?
True
Suppose -5*o - 2*c + 11 = -5*c, -5*o - 3*c = 1. Let j(a) = 7 + o + a**2 + 2*a - 4 - 4*a. Is j(6) a multiple of 23?
False
Let q = 178 - 82. Is q a multiple of 16?
True
Let t be 3/(2 - 291/150). Suppose 3*v - t = -2*v. Suppose -2*u - j + 46 = v, j = u - 12. Does 8 divide u?
True
Suppose -3*z + 44 + 52 = 0. Let i = -28 - -32. Suppose 107 - 17 = 3*t + i*a, -t - 2*a = -z. Is 13 a factor of t?
True
Let k(q) = 8 + 2*q**2 + 4 + q**2 - q**2 + 16*q. Is k(-11) a multiple of 22?
False
Let t(f) be the second derivative of -f**5/20 - f**4/6 + f**3/3 + 3*f**2/2 + f. Let g be t(-4). Suppose -g = -2*v + 13. Does 14 divide v?
False
Is (52 - 0/(-3)) + -4 a multiple of 11?
False
Suppose 5*m - 12 = 18. Suppose 2*n = -n - m. Does 14 divide (-1)/n*14*7?
False
Let r(p) = -p + 4. Let g be r(3). Let q(w) = -1 + 0 + g + 3*w. Is 7 a factor of q(7)?
True
Let g(x) be the second derivative of x**4/12 + x**3/6 - x**2 - 5*x. Is 28 a factor of g(-6)?
True
Let o(m) = 10*m**2. Does 10 divide o(1)?
True
Let t(c) = 12*c + 1. Is t(1) a multiple of 3?
False
Let g be ((-95)/2)/(-5)*-2. Let h be 4/14 + g/(-7). Suppose 0 = h*o - 0*o - 15. Is o even?
False
Let w(a) = -a**2 + 0*a - 4*a - 3 + 2*a. Let l be w(-2). Does 13 divide (22/l)/(4/(-12))?
False
Let j(y) = -y**2 + 7*y + 2. Let h be j(7). Let g = -3 + h. Does 13 divide -1 - (g + -42) - 3?
True
Suppose -3*m + 84 = -0*r + 3*r, r - 4*m - 53 = 0. Is 15 a factor of r?
False
Suppose -d - 5*b = -16, 0*d + b - 2 = d. Let w be 1*(-3 - (d - 1)). Does 18 divide (-1 - w)*(-41)/(-2)?
False
Let t(i) = 39*i**2 - 1. Does 19 divide t(-1)?
True
Is (-8)/4 - (-11 + -1) a multiple of 9?
False
Suppose -4*i = -1 + 29. Let p(h) = -h**2 - 10*h - 10. Does 6 divide p(i)?
False
Suppose -4*l + 9 + 3 = 0. Suppose 4*r - 12 = -0*r - z, 0 = -4*z + 16. Suppose 0 = -r*j + l*j - 5. Does 4 divide j?
False
Suppose -24 = -5*m - 4. Suppose -c - m*c = -105. Suppose -2*t - c = -95. Does 10 divide t?
False
Let y(m) = -m**3 - 7*m**2 + 5*m - 1. Suppose 4*w - 8 - 24 = 0. Suppose -2*r - w = 8. Does 6 divide y(r)?
False
Suppose p = 3*u + 6, -16 = -4*p - 4*u + 8*u. Suppose -p*o + 0*o = -63. Is 10 a factor of o?
False
Suppose 4 = -3*l + 2*v, -5*l + 4*v - 2 - 8 = 0. Let z(b) = 3*b**2 + 2*b - 2. Let w be z(l). Suppose -2*d + 20 = -w. Is 6 a factor of d?
False
Let n(j) = 2*j - 1. Let f be (18/12)/((-2)/(-4)). Is n(f) even?
False
Let s = -2 + 21. Let q = -12 + s. Does 7 divide q?
True
Suppose 0*l - l + 136 = 0. Is 13 a factor of (2/(-4))/((-2)/l)?
False
Let p(c) = 30*c. Let r be p(6). Suppose -4*m + 4*q = -0*q - r, -2*q = 10. Suppose 4*s - m = -s. Is s a multiple of 4?
True
Suppose 0 = 2*w - 0*w, -12 = -4*a - 4*w. Suppose -10 = -a*v + 8*v. Does 5 divide ((-1)/(-2))/(v/(-20))?
True
Suppose 0*z + 3*z = 24. Let y = -4 + z. Suppose -2*x - j + 84 = j, 4*j + 144 = y*x. Does 17 divide x?
False
Suppose -2*h - 2*d + 98 + 50 = 0, 5*d = 20. Does 26 divide h?
False
Let k(m) be the second derivative of m**5/4 - m**4/6 + m**3/3 - m**2/2 - m. Let x be k(1). Suppose 2*g + 26 = x*g. Does 5 divide g?
False
Let w(r) = -3*r. Let a be w(-2). Let v(z) = z**2 - 7*z + 9. Does 2 divide v(a)?
False
Let k(j) = 4*j**2. Let v(l) = l + 7. Let x be v(-6). Is 4 a factor of k(x)?
True
Suppose o + 6 = -4*n, -3*o - 5*n = -4*n - 15. Let t(w) = -w**3 + 4*w**2 - 2*w + 4. Let p be t(4). Is o/1 - (-4 - p) a multiple of 5?
False
Suppose 0 = 11*w - 15*w + 96. Is w a multiple of 4?
True
Let h(l) = -l**2 - l + 80. Is 18 a factor of h(0)?
False
Let l(x) = x**3 - 6*x**2 - x + 3. Let j be l(6). Let p be 0 + 0 + 3 - j. Let z = p - -10. Is z a multiple of 16?
True
Let w(b) = -b**3 + b**2 + b + 10. Let x be ((-1 - -1)/(-4))/1. Does 5 divide w(x)?
True
Is 5 a factor of 0 - (-32)/24*(-15)/(-2)?
True
Let v(x) = x**3 - 3*x**2 - 11*x - 1. Let f(b) = b**3 - 2*b**2 - 6*b - 1. Let u(o) = 7*f(o) - 4*v(o). Does 6 divide u(2)?
False
Suppose -r + 4*r - 6 = 0. Suppose -r*k = -5*g - k + 162, -k = 2. Is 16 a factor of g?
True
Suppose 5*k + 0*f - 2*f - 15 = 0, -35 = -2*k - 5*f. Suppose 3*v - 26 = -2*m, 2*m = k*v - 48 - 22. Does 12 divide v?
True
Let o(d) = 2*d + 1. Let x be o(-1). Let y be -2 + (0 - x)*61. Let g = y + -27. Is g a multiple of 9?
False
Suppose 0 = 3*t + t - 120. Is t a multiple of 10?
True
Let c(z) = z**3 + 7*z**2 - z. Is c(-5) a multiple of 23?
False
Suppose 2*a - 3*a = -3. Suppose 3*v - 13 = -4*l, 3*v = 7*l - a*l + 5. Is v a multiple of 2?
False
Suppose -k + 5*k = 28. Is k a multiple of 7?
True
Suppose -6*q + 4*q = -16. Does 8 divide q?
True
Let a(y) = -7*y - 17. Let b(g) = -3*g - 9. Let s(q) = 2*a(q) - 5*b(q). Does 6 divide s(-5)?
True
Let l = 7 - 4. Let x(r) =
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(132)*2*-6 - sqrt(132))*-6)/(sqrt(72)/(1*sqrt(6)) + sqrt(48)/(sqrt(12)/sqrt(3))))**2 + -3.
14253
Simplify (sqrt(1694)*-1)/(sqrt(242) + (sqrt(242) - 1*sqrt(242))) + 5.
-sqrt(7) + 5
Simplify -2*(sqrt(25)*2)/sqrt(5) - (sqrt(320) + 5 + (0 + sqrt(320))**2).
-325 - 12*sqrt(5)
Simplify ((sqrt(132)*-4)/sqrt(4))/(sqrt(3) - -3*sqrt(192)).
-4*sqrt(11)/25
Simplify ((-4 + 3*sqrt(176))**2 - 6*(2 + sqrt(176))) + -5 + 0.
-120*sqrt(11) + 1583
Simplify -1 + (sqrt(243) + (sqrt(243) - -2*-1*sqrt(243)) - (sqrt(243) - (3 + sqrt(243)*-2)) - (sqrt(243) + (sqrt(243) - (sqrt(243) + -1)))*-1*4)**2.
126*sqrt(3) + 291
Simplify 5 + -1 + 0 + 5*(sqrt(1216)*1 + -5)**2.
-400*sqrt(19) + 6209
Simplify ((-4 + -3 + sqrt(567) + -2*sqrt(567) + sqrt(567) + sqrt(567))*6)**2.
-4536*sqrt(7) + 22176
Simplify -4*(-2*(-1 + sqrt(3))*-4 + 1 + (sqrt(3) - (-1 + sqrt(3))*1))**2.
-912 + 384*sqrt(3)
Simplify (1 + sqrt(153))**2 + 0 + -1*(sqrt(204)*-3)/sqrt(12).
9*sqrt(17) + 154
Simplify -5 + 0 + -5*(-2*(0 + sqrt(200)) + sqrt(200) - sqrt(200))**2.
-4005
Simplify (sqrt(114) + sqrt(114) + -5*sqrt(114)*4 - sqrt(114))/(sqrt(30)/(sqrt(25)/sqrt(5))) + 0.
-19*sqrt(19)
Simplify (-1*((1*sqrt(220))/sqrt(4))/(-6*(sqrt(11) - sqrt(176))))**2 + 5 + 1.
1949/324
Simplify ((sqrt(2057) + 1 + -5 + sqrt(2057) - (-4 + (sqrt(2057) - (sqrt(2057) + sqrt(2057) + 1) - sqrt(2057)))) + -4*(sqrt(2057) + sqrt(2057)*1)*-6 + 5)**2.
6864*sqrt(17) + 5562164
Simplify 5*(((5*(sqrt(567) - -2*sqrt(567)) + -3)*-2)**2 + -4).
-16200*sqrt(7) + 2551660
Simplify 0 + (-2*(2 + 2*sqrt(112)))**2.
128*sqrt(7) + 1808
Simplify 5*(5 + sqrt(17)*-3 + 4 + sqrt(425) + 1 + 0)**2.
200*sqrt(17) + 840
Simplify (2*(1*sqrt(35) - sqrt(35) - sqrt(35))*-6)/(sqrt(21)/sqrt(3)*5 + (sqrt(175) - (sqrt(175) + sqrt(175)*-2))).
4*sqrt(5)/5
Simplify ((sqrt(3) - (sqrt(6)/sqrt(2) + 0)) + -5 - 5*-1*sqrt(432))**2*6.
-3600*sqrt(3) + 64950
Simplify (-2 + (6*(1 + sqrt(68)*2) - (-5 + sqrt(68) + 1 + sqrt(68) + -1)))**2.
360*sqrt(17) + 6881
Simplify ((2*sqrt(216)*-6)/sqrt(6))/((-1*sqrt(300) - sqrt(300) - sqrt(300))*4).
sqrt(3)/5
Simplify ((-4*(4 + sqrt(325) + 1))**2 + -2)*5.
4000*sqrt(13) + 27990
Simplify ((sqrt(110)*4*6)/(sqrt(960)/sqrt(6))*6)**2.
14256
Simplify (-1*(sqrt(70)*-1 + sqrt(70))*2)/(-1*sqrt(1000)*5).
0
Simplify (3*(sqrt(539) - (3 + sqrt(539)))*-4*-6)**2.
46656
Simplify ((-5 + (sqrt(60) + sqrt(720)/(-2*sqrt(12)))/(-1*sqrt(48)/sqrt(4)))*2)**2.
20*sqrt(5) + 105
Simplify 3 + (((3*sqrt(5) - sqrt(5))*-1 - (sqrt(45)*-3 + sqrt(45))/sqrt(9))*4)**2.
3
Simplify -3 + (sqrt(192) + 4 + sqrt(192)*-2 - sqrt(192))**2 - (-2*sqrt(192)*-5*-3)**2.
-172019 - 128*sqrt(3)
Simplify ((sqrt(468) + 2*sqrt(468)*2)/sqrt(9))/(1*(6*sqrt(4)*2 + sqrt(4))).
5*sqrt(13)/13
Simplify 2 + (3 + (1*sqrt(162)*3 + sqrt(162) + sqrt(162))**2*6)*-3.
-72907
Simplify (sqrt(209)/(sqrt(891) + (sqrt(891) - 2*sqrt(891)) + sqrt(891)))**2 + -4*(-1 + sqrt(19))**2*4.
-25901/81 + 32*sqrt(19)
Simplify -1*(1 + 2*sqrt(432) - sqrt(24)/(6*(sqrt(8) + sqrt(32)/sqrt(4)) - sqrt(8))).
-263*sqrt(3)/11 - 1
Simplify (sqrt(153)/(sqrt(27)/(sqrt(36)/sqrt(4))))/(sqrt(24)/((sqrt(80)/sqrt(2))/sqrt(5))).
sqrt(17)
Simplify (6*1*2*(-2 + sqrt(20) + -4))**2.
-3456*sqrt(5) + 8064
Simplify (-1*(0 + sqrt(17) - sqrt(17)) + (sqrt(17) - (sqrt(17) + (-1*sqrt(153) - sqrt(153))/sqrt(9)))**2 + -3)*1.
65
Simplify -4*(sqrt(11) + (-2 + sqrt(99))**2 + sqrt(176) + 0 + -1).
-408 + 28*sqrt(11)
Simplify 1*2*(2*(sqrt(1088) + -2)**2 + (sqrt(1088)*1 + 1)**2 + sqrt(1088)).
-80*sqrt(17) + 6546
Simplify (-2 + -1*(0 + -1 + sqrt(684) + 1)**2)*3.
-2058
Simplify ((sqrt(612) - sqrt(612)*4) + 5)*6 - (2*(sqrt(612) + -1 + sqrt(612) + 2 - sqrt(612)))**2.
-2422 - 156*sqrt(17)
Simplify (sqrt(13) - (-1 + sqrt(117)) - (4*(sqrt(13) + 0) - sqrt(13)))**2 + (sqrt(91) + ((sqrt(91) + sqrt(91)*-1)*5 - sqrt(91)))/sqrt(7).
-10*sqrt(13) + 326
Simplify -1 + sqrt(832) + sqrt(832) + sqrt(117)*-6 - (0 + (sqrt(26)/sqrt(2))**2 + sqrt(52)/sqrt(4) + -4).
-3*sqrt(13) - 10
Simplify 1 + (sqrt(108) + sqrt(108)*3 + sqrt(108))/(sqrt(16) - -4*sqrt(16)) + -2.
-1 + 3*sqrt(3)/2
Simplify (((-1*(sqrt(91) - (sqrt(91)*-2 - sqrt(91))) - sqrt(91))*4)/(sqrt(63)*1 + sqrt(343)*2))**2.
5200/289
Simplify (1*-1*sqrt(6480))/(((2*sqrt(81) - sqrt(81))*3)/sqrt(9)).
-4*sqrt(5)
Simplify ((2*(sqrt(104) + sqrt(104)*-1))/(2*sqrt(32)))**2.
0
Simplify (2 + (2*-3*sqrt(17) - (sqrt(136)*-3 + sqrt(136))/sqrt(8))*-2)**2*5.
160*sqrt(17) + 5460
Simplify ((sqrt(160)*2)/sqrt(8))/(sqrt(10) + -6*sqrt(810)).
-2*sqrt(2)/53
Simplify 2 + 3*((sqrt(85)/sqrt(5))**2 + -2)*-3*-4 + -4.
538
Simplify (-3 + 3*(sqrt(1900) - 4*sqrt(1900)) + -3)**2.
1080*sqrt(19) + 153936
Simplify ((sqrt(3564)*1 + sqrt(3564) + sqrt(44) + sqrt(44) + -3*2*sqrt(44))/((sqrt(48)/sqrt(2)*3)/sqrt(6)) + -4)**2.
-112*sqrt(11)/3 + 2300/9
Simplify (-3 + sqrt(6)/sqrt(3) - (sqrt(50)*-1)**2) + -1 + 0.
-54 + sqrt(2)
Simplify (-1*sqrt(18))/sqrt(9) + sqrt(2) + -2 + (-2*sqrt(2) - sqrt(2))**2 - (3 + (sqrt(150)/sqrt(3) - sqrt(50))).
13
Simplify -1*-3*(sqrt(468) + 0 + (sqrt(468) - sqrt(468)*-3))**2.
35100
Simplify -1 + (sqrt(720)*2)**2 - (1 + (sqrt(5) - sqrt(30)/sqrt(6))**2 + 2).
2876
Simplify 5*((((sqrt(234)*-2)/sqrt(9) - sqrt(26))/sqrt(2))**2 - (2*2*sqrt(1872))**2).
-149175
Simplify (-2*sqrt(108))/(2*sqrt(144) - sqrt(9)) + ((sqrt(3) + 1)*4 - (sqrt(3) - (sqrt(48)*-1)**2))*-1.
-52 - 25*sqrt(3)/7
Simplify 1 + (sqrt(847) - (-4 + sqrt(847) + sqrt(847) + 0))**2 + 5.
-88*sqrt(7) + 869
Simplify (-1 + sqrt(1800) + 2*sqrt(1800))*-5*-3.
-15 + 1350*sqrt(2)
Simplify sqrt(11)*-5 + -4 + (-3 + sqrt(11))**2 + 1 + -2.
-11*sqrt(11) + 15
Simplify (-5 + sqrt(648) + -1 - -2*2*sqrt(32))**2.
-408*sqrt(2) + 2348
Simplify (6*sqrt(110)*2 - (sqrt(110) + (6*sqrt(110)*1 - sqrt(110))))/(sqrt(90) + (-5*(sqrt(90)*2 - sqrt(90)) - sqrt(90))).
-2*sqrt(11)/5
Simplify -1*(1*(sqrt(76)/sqrt(4) + -3))**2 - ((2 + sqrt(190)/(sqrt(10)*-1))**2 + -4).
-47 + 10*sqrt(19)
Simplify -1 + ((sqrt(128) - (sqrt(128) - (sqrt(128) - (1 + sqrt(128))))*3)**2 + sqrt(22)/(sqrt(11) - -3*sqrt(176)))*-5.
-2606 - 6245*sqrt(2)/13
Simplify (((sqrt(612) + 3)*-2 - (2 + sqrt(612) + -4))*-2)**2.
576*sqrt(17) + 22096
Simplify (-2*(3 + (0 + sqrt(11) + 2 - sqrt(22)/sqrt(18))*4))**2.
704*sqrt(11)/3 + 7172/9
Simplify -3 + ((-5*sqrt(143)*2)/(-2*sqrt(11)*-2) + -1)**2 + 5.
5*sqrt(13) + 337/4
Simplify (((5*sqrt(152) - sqrt(152))*3)/(sqrt(8) - (sqrt(8) - sqrt(32)/sqrt(4)*-4) - sqrt(8)))**2.
2736/25
Simplify (((sqrt(320) + 0)*-3 - sqrt(320))*-2)**2 - ((sqrt(320)*1)**2 + sqrt(320) + 3 - (-1 + sqrt(320) + 0)).
20156
Simplify (4*(sqrt(76) + sqrt(76) + sqrt(76) + 4*sqrt(76)*1))/(((sqrt(32)/sqrt(2))/sqrt(2))/sqrt(2)).
28*sqrt(19)
Simplify 0 + 4 + sqrt(7) + -3 - sqrt(56)/(sqrt(648)*6).
1 + 53*sqrt(7)/54
Simplify sqrt(9)/(2*sqrt(75)) + (-1 + 5*(-2 + sqrt(3)))**2.
-1099*sqrt(3)/10 + 196
Simplify -4*(sqrt(720) + sqrt(720) + sqrt(720)*1 + 3)**2*6 + -2 + -2.
-155740 - 5184*sqrt(5)
Simplify ((sqrt(168)/(sqrt(112) - sqrt(7)))/sqrt(6))/((sqrt(8) - sqrt(72))/sqrt(4) - (sqrt(128) + sqrt(128) + -1*sqrt(128) + sqrt(128) + sqrt(128))).
-sqrt(2)/78
Simplify (-2 + -2*(sqrt(832) - (sqrt(832) + 1)*3))*-4.
-128*sqrt(13) - 16
Simplify -5 + 4*((-1*1*sqrt(208))**2 - (sqrt(208) + -1)*5).
-80*sqrt(13) + 847
Simplify ((sqrt(308)*-1)/sqrt(7))/(6*(4*sqrt(4) + sqrt(4) + sqrt(4) + sqrt(4))).
-sqrt(11)/42
Simplify ((sqrt(76)*1 + sqrt(76))*1 - -5*(sqrt(76) + sqrt(76) + sqrt(76)*-2 - sqrt(76)))/(1*(sqrt(100) + sqrt(100)*-2)) + 5.
3*sqrt(19)/5 + 5
Simplify ((sqrt(162) - 1*sqrt(162) - (sqrt(2) - (sqrt(24)/sqrt(3))/sqrt(4)))*1)**2.
0
Simplify 5 + (5 + -3*(sqrt(99) + 0))**2.
-90*sqrt(11) + 921
Simplify -4*(-1*(2*sqrt(1088) + 2)*-5)**2.
-435600 - 6400*sqrt(17)
Simplify ((1 + sqrt(1331))*-1 - (sqrt(1331) + 0)*2)**2.
66*sqrt(11) + 11980
Simplify ((-1*sqrt(133) + sqrt(133))*-5)/sqrt(7) + -5 - (((-4*(1*sqrt(19) - sqrt(19)))**2 - (1 + sqrt(1216))) + 5).
-9 + 8*sqrt(19)
Simplify -2*((6*2*sqrt(315))/(sqrt(720) + -2*sqrt(720)*-4))**2.
-14/9
Simplify -2 + (0 + sqrt(1872))*4 - (1 + ((sqrt(1872) - 2*sqrt(1872)) + sqrt(1872))**2 + (sqrt(1872) - (sqrt(1872) + 2*sqrt(1872))) + -1).
-2 + 72*sqrt(13)
Simplify -1 + (-4 + 2*sqrt(700))**2 + sqrt(56)/(-5*(sqrt(8) - sqrt(32))).
-799*sqrt(7)/5 + 2815
Simplify -3 + 4 + -4*(sqrt(1331) + 1 + -3 + 4)**2.
-5339 - 176*sqrt(11)
Simplify -2 + (sqrt(18)/(sqrt(144)*-1 - sqrt(9)))**2 + (sqrt(2
|
{
"pile_set_name": "DM Mathematics"
}
|
2
Let w(s) = 31*s + 3. Let d be w(3). Suppose 5*f = -r + 3*f + 8, f - 10 = -2*r. Let b be (4/6)/(r/d). Solve j = -5*n + 2*n + 7, -5*j + b = -4*n for n.
1
Let q(t) = t**3 + 2*t**2 - 9*t + 5. Let y be q(-3). Solve v - y = 5*i, 5*i - 9 = -4*v - 42 for i.
-5
Let n be 50*(-2 - 95/(-50))*-4. Solve 2*p + 2 = -0, 5*p = -5*f + n for f.
5
Suppose -2*b + 11 = 3*f, 5*f - 6*b + b - 35 = 0. Solve -3*v = -f*x + 33 + 7, 4*v - 2*x + 30 = 0 for v.
-5
Suppose -w + 1 + 5 = 0. Let r(u) = -u**2 + 7*u. Let x be r(w). Let h be x*3/8*4. Solve -z - 2 = -f, 0 = 3*z - 0*z + 2*f - h for z.
1
Suppose 5*c + s - 108 = -3, 0 = -s - 5. Let d = -4 - -7. Solve 2*q + d*q - 2*y = 24, 4*q = 3*y + c for q.
4
Suppose 2*q = 3*p - 1, -3*q - 2*p + 18 = -0. Suppose 2*f - 2 = q. Solve -f*l = 5*d + 30, -5*l = -4*d - 2*l + 3 for d.
-3
Suppose 5*d - 3*u + 10 = 50, -2*u - 40 = -5*d. Solve 0 = 2*p + d, p + p + 11 = -b for b.
-3
Let v(u) = -u**2 - 2. Let o be v(4). Let j be (-112)/(-18) + 4/o. Solve -3*k + 5*h - 1 = -15, 3*k = 3*h + j for k.
-2
Let q = -172 - -104. Let p = -63 - q. Solve -c + p*c = 8, 4*c - 5 = -b for b.
-3
Suppose 0 = -14*c + 16*c + 4. Let y be c/10 - (-11)/5. Solve -4*f + 2 = -y*f - 2*j, f + 2*j = -8 for f.
-2
Suppose 4*j = -5*a - 15, 4 - 7 = a. Suppose -3*r = -j*r - 27. Solve -2*v = -10, r*d + 4*v = 4*d + 35 for d.
3
Let c = -145 - -167. Solve 0 = -5*r - d - c, 0*d - 21 = 3*r - 2*d for r.
-5
Let y(k) = -k**3 - 13*k**2 - 24*k - 17. Let c be y(-11). Solve -4*z + c*q + 31 = 0, -2 = -4*q - 14 for z.
4
Suppose 0 = -3*s + 15, 19*y - 16*y = -s + 65. Solve u + 4*a - y = 0, -5*u - 2*a + 10 = -0*a for u.
0
Let o = 71 + -23. Suppose 3*g - 7*g = o. Let t = g + 14. Solve -t*l + 5*j = -17, 7 = 4*l - 2*j + j for l.
1
Suppose -3*h + 4 = 2*i, -4*h - 3*i - 5 = -5*h. Solve -h*o = -0*o + f + 8, 0 = 5*o + f + 23 for o.
-5
Let l(f) = -f**3 + 7*f**2 - 4*f - 8. Let n be l(6). Let v = -79 - -91. Solve -n*z + 1 = -0*z + 5*d, v = -4*d for z.
4
Let s be (-2 - -2)/((-4)/((-16)/12)). Solve -2*f = 3*f - 4*p - 23, s = 4*p + 8 for f.
3
Suppose -2*m - a + 1 = 0, 3*m - 4 = a + 10. Suppose -8*x = -m*x - 20. Solve -4*w + s - 13 = x*s, -6 = -3*w + 3*s for w.
-1
Let s = -402 + 437. Solve 21 + 8 = -j - 5*p, 5*j + 3*p = -s for j.
-4
Let h(b) = -b**3 - 6*b**2 + 3*b - 14. Let k be 2 + 2 - (18 - 7). Let l be h(k). Solve l = -3*c + o, -3*c - 4*o + 7*o - 12 = 0 for c.
-5
Let c(b) = b**3 - 4*b**2 + 6*b - 2. Let r be c(2). Suppose -g - 30 = -2*u, -3*u + r*g + 9 = -2*u. Solve -o - u = -5*y, 4*o - y - 11 = -o for o.
3
Let k be (1 - 7)/(6/4). Let w be ((-4)/k)/1 - 1. Solve m + 4*t - 9 = w, m - 5*t + 7 + 2 = 0 for m.
1
Let s = -3 + 7. Let t be 27/15*3*5. Suppose 3*u - t = -5*y, -s = -4*u + 3*y + y. Solve 0 = -3*m + 2*c + 3, 2*m - 4*m = -u*c - 10 for m.
-1
Suppose 26 = -3*y + 4*s, 5*y - 4*s + 40 = s. Let n(v) = 3*v + 20. Let z be n(y). Solve -f + 11 = -z*g + 2*f, -5*f = 4*g - 33 for g.
2
Let v be (11 - 11)/(4/(-2)) - -3. Solve -r = -4*p + 18, p + 12 = r + v*p for r.
2
Suppose 3*f = -2*t - 3*t + 74, 0 = f + 2. Solve -4*r - t = -4*q, -2*q + 12 = 4*r + 4 for q.
4
Let p = 57 - 61. Let g = -2 - p. Solve g*w + 16 = -4*v, -5*w - 4 = -3*v + v for v.
-3
Let v be ((-1)/(-4))/(-1) - 4494/(-856). Solve -k + 4 = -c + 1, -k + v*c - 5 = 0 for k.
5
Suppose 10*p - 154 = -4*p. Solve -4*s + 1 = -3*x - p, -3*s = -3*x - 9 for x.
0
Suppose -35 = -f - s, 2*f + s + 4*s = 73. Let v be -2 + (0 - (-9)/3). Let n be (-10)/(-3 + v - -1). Solve -4*o + 5*t + 35 = 0, -5*o + n*o - f = 3*t for o.
5
Suppose -i - 3*i - 2 = -3*k, 3*k - 6 = 3*i. Let f be ((-1)/(-2))/(8/(-32)) - -2. Solve -v - 2*l + 11 = f, k*l - 20 = 2*l for v.
1
Suppose z = 2*j + 6, -12 = -0*j + 4*j. Suppose -2*c + 2 = -2*f + 8, 3*f - 5*c - 7 = z. Solve 6 = -2*x + f, -22 = 5*k + 2*x for k.
-4
Suppose 2*t + 5*x = x + 2, -8 = -t + 5*x. Let s = -3 - -20. Solve -t*m + m = -5*o + s, o - m - 4 = 0 for o.
3
Suppose -1 = -h + 3. Let g be (-5 - 1)*h/(-12). Suppose -3*m - 8 = -w, -g*w + 4 = m - 5. Solve -4*a - 5 + 4 = -3*b, -9 = 4*a + w*b for a.
-1
Let l = -700 + 703. Solve 0 = -2*z + l*p + 18, -5*z + p - 3*p + 7 = 0 for z.
3
Let o(d) = -d**2 - 41*d + 91. Let t be o(-43). Solve 3*l - 1 = 2*m - t, -2*m + 5*l = 0 for m.
5
Suppose 5*z = 13 + 12. Suppose v + 2*v - 54 = 3*w, -w = -5. Let t = v + -21. Solve -3*d = -p - 3, -z*d = -12 + t for p.
3
Suppose -3*z - 4*d + 13 = 0, 5*z = 7*z - 2*d - 4. Solve 5*l = -3*n - 21, z*n - 5*n - 1 = -l for l.
-3
Suppose -2*d = -5*s + 3*d - 20, -10 = -2*d. Let h be s/(-3 + 4) + 7. Solve 2*w + 2 = -2, -w = 5*n - h for n.
2
Suppose -12 = -t - 3. Let g(i) = -i + 17. Let a be g(t). Suppose 2*f + 0*f = a. Solve 0 = 2*m - f, q + 4*m - 7 + 1 = 0 for q.
-2
Suppose -20 = c - 22. Suppose -d - 5*k = -c*d + 15, 4*k = 5*d - 12. Suppose 2*z - 13 = 3*j, 2*j - j = -z - 1. Solve 4 - z = -i + f, -3*f + 6 = d for i.
0
Suppose -8*t = 4*t - 552. Suppose 4*d + n = 28, -3*n + 2 - t = -4*d. Solve 5*r = -5*l + 6 - 1, 0 = 4*l + d for r.
3
Let w(y) = 11*y - 1. Suppose 6*z + 7 - 25 = 0. Suppose x - 6 = -x + l, -z*x - 9 = 3*l. Let o be w(x). Solve 4*n - 2*j = o, -n - 5*j + 5 = -3 for n.
3
Let v be ((-12)/(-2))/(18/9). Suppose -5*k - 4*j + 10 + v = 0, -4*j = -3*k - 5. Let p be (13 + (2 - 3))*k. Solve -2*a + p + 9 = 3*u, -2*a = 4*u - 26 for u.
5
Let f(x) = -x**3 - 22*x**2 + 50*x + 52. Let n be f(-24). Solve -n*p + 5*g + 29 = 8, 1 = -g for p.
4
Let a be 9*(2/(-11) - 612/(-1188)). Solve -5*m + 4 = -r - 2*m, 0 = -a*r + m - 12 for r.
-4
Let y = -13 + 15. Suppose 0*k - 2 = -k + 2*s, -2*k + s = -4. Suppose r - 6 = i, -22 = r - 2*r + 5*i. Solve y*g - 3*g - 5*q = -1, r*g - k*q + 10 = 0 for g.
-4
Let z(r) = r**2 - 3*r - 1. Let b be (-12)/66 + (-92)/(-22). Let l be z(b). Solve -3*y + l = -f - 5, -2*f - 5*y + 6 = 0 for f.
-2
Suppose 2*z + 7*z = 81. Suppose q + 2*u - z = -2*u, 5*q - 4*u = 21. Solve q*p + 5*a = 25, 0 = -p - 4*a + 5 - 0 for p.
5
Suppose 55*g = 2*t + 50*g - 2, 4*t - 3*g = 4. Solve 5*v - 18 = 4*s + 14, s - t = -v for v.
4
Let h = -8 - -18. Suppose -h = 9*a - 14*a. Solve 3*c = a*s + 6 - 22, 5*s + 2*c = 2 for s.
2
Let u be (-9)/(-15) - (-282)/5. Suppose 0 = -5*w + 2*w - u. Let v = -13 - w. Solve -2*b = -2*n, 0*b - b + 4*n + v = 0 for b.
-2
Suppose 1 = 2*q - 3. Suppose -q*x + 4 = -12. Let d = x - 4. Solve -3*z - 4*b + d = 0, b = 6*z - z - 22 for z.
4
Let p(d) = -d**3 + 4*d**2 - 3*d. Let h be p(3). Solve 0 = -5*j - 5*o + 20, -18 = -5*j - 3*o - h*o for j.
3
Suppose -2 + 32 = v. Solve h + 5*w - v = 0, 3*h + 0*h = 2*w + 5 for h.
5
Suppose -825 + 745 = -16*w. Solve w*g = 2*l + 35, -3*g + g = -10 for l.
-5
Suppose -3*f = 2*f - 5*c, -3*f + 2*c = 0. Let g(u) = -u**2 + 10*u - 2. Let z be g(10). Let w = f - z. Solve -w*q - h - 3 = -3*q, 17 = 3*q + 5*h for q.
4
Suppose 36*l - 69 = 75. Solve -l*v = 4*p - 4, -p - 30 = -2*v + 4*p for v.
5
Let v(q) = -q**3 - 30*q**2 + 29*q - 59. Let y be v(-31). Suppose 2*u - 3 + 5 = -2*g, 2*g = -3*u - y. Solve a = -3 - 0, g = -3*m - 5*a for m.
5
Let a be 198/55 - (-1 + (-8)/(-5)). Suppose -a*d = 7*d - 200. Solve 2*r - 10 = -3*c - 2*c, -c - 4*r = -d for c.
0
Let d be (10/6)/((-2)/(-6)). Let v be -1 + -2 + 1 + d. Suppose 2*p - 2 = -0, -3*s + 7 = -5*p. Solve -2 = -w - x, -2*w + v*w + s*x = -7 for w.
5
Let t be (1*10)/(0 + 2). Let r be (-1848)/(-30) - (-6)/15. Let q = -59 + r. Solve 4*o + 3*v = q, t*o - 5*v = -0*o + 30 for o.
3
Let r(h) = h**3 + 8*h**2 - 21*h - 9. Suppose 3*d - 80 = 11*d. Let b be r(d). Let y be (b - (-10)/(-6))*-3. Solve 5*k + 11 = l + 1, -k - y = -2*l for k.
-2
Suppose 5*j - 16 = -2*s, 4*s = 8*s - 3*j - 6. Solve 2*t = -s*a - 3, -2*a + 7*a = -t - 12 for t.
3
Let j = 7 - 3. Suppose -3*z - z - 4*c = -j, 0 = -3*z - 5*c - 5. Suppose -24 + 3 = k + 5*g, -2*k + z*g = -33. Solve -l - 2 = k*l + 3*r, -2*l = r for l.
2
Let k be (-10)/55 - (2403/33 - -1). Let b = 76 + k. Solve 11 = 5*r - 3*x, -5 = -b*x + 1 for r.
4
Let o(g) be the second derivative of -g**3/6 - g**2 - 3*g. Let r be o(-7). Let c = r - -1. Solve 3*y + c = -j + y, 0 = 5*j - 2*y - 18 for j.
2
Let t(q) = 2*q - 5*q + 11 + 5*q + 7. Let o be t(-9). Suppose o*n = 2*n - 6. Solve n*b + 4 = g, 2*g + 7 = 3*g - 4*b for g.
-5
Let k = 5 - 0. Solve -7 = r - 2*o - 10, -2*r + 3*o = -k for r.
1
Suppose 4*f + 4*u - 12 = 0, 5*u - 1 = 4. Let r be (f - 1)/(7/(-4) + 2). Solve 3*o + 4 = 7*o - 3*h, -h = -r*o + 4 for o.
1
Let u(k) = -k + 14. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
et r be ((-82)/(-3))/(4/6). Does 56 divide 0 + 1002 - r/(205/(-30))?
True
Suppose 7*i = 52257 - 9123. Is i a multiple of 78?
True
Suppose 13*y + 95 = -6*y. Let l(c) = -200*c + 312. Is 11 a factor of l(y)?
False
Let y(q) = -q**3 + 4*q**2 - 2*q - 3. Let z be y(3). Suppose -4*j + m = 5*m - 196, z = 3*m - 9. Is j a multiple of 2?
True
Suppose -10*p = -8*p - 8. Does 18 divide 3*p/6*66?
False
Let d = 7 + 4457. Is 130 a factor of d?
False
Suppose -48*r + 6048 = 96*r. Does 7 divide r?
True
Let q = -191 + 187. Let m(w) = -3*w**3 + 4*w**2 - 9*w - 15. Is 8 a factor of m(q)?
False
Suppose -16*z + 13*z = -2*w + 2073, 3*w - 3152 = -4*z. Does 4 divide w?
True
Suppose 23*s - 6*s + 38*s - 1380500 = 0. Is 27 a factor of s?
False
Suppose 4*t = -y + 319, 0 = -5*t + 3*y - 0*y + 420. Let r = 45 - t. Let i = 76 + r. Is i a multiple of 8?
True
Let s = 3463 - 1372. Does 17 divide s?
True
Suppose 18*b - 1765 = 23*b. Let k be 1/4 + 1706/(-8). Let n = k - b. Is n a multiple of 28?
True
Let m be 2 + 5000 + 6/2 - -4. Suppose 0 = 22*j - 9313 - m. Is j a multiple of 31?
True
Suppose 2*c - 32 = -14. Let q = c + -15. Is 21 a factor of q/(-10) + 52/(-30)*-36?
True
Let z(q) = q**3 + 3*q**2 - 12*q - 4. Let n be z(-5). Suppose -n*o = 15*o - 9996. Does 34 divide o?
True
Let g = -596 + 264. Let i = g - -372. Is i a multiple of 7?
False
Suppose 312*t - 4985204 + 894884 = 0. Is t a multiple of 15?
True
Suppose -41*f + 133756 + 449920 = 0. Is f a multiple of 14?
False
Suppose -9842 = -36*y + 17*y. Suppose 604 = 4*i - c - y, -2*c = 4. Is i a multiple of 20?
True
Suppose -2*t + 3289 - 408 = r, -2*r - t = -5744. Is r a multiple of 19?
True
Let v be 108/378 + 1/(7/19). Suppose -u + 2 = -v*z, -2*u - 4*z + 2*z + 12 = 0. Suppose -3 = -2*p + 2*j + 1, 2*j - 45 = -u*p. Is p a multiple of 5?
False
Suppose -104*m + 105*m = 1. Let p(y) be the first derivative of 141*y**4/4 - 2*y**3/3 + y**2/2 - y + 2. Is p(m) a multiple of 7?
False
Does 5 divide (-43 - (-1045)/22)*(-10040)/(-6)?
True
Suppose 0 = 3*q - 61*b + 56*b - 17520, -q + 5840 = -3*b. Is q a multiple of 146?
True
Let p(a) = -66 + 21*a + 14 - 1. Let r = -16 - -24. Does 7 divide p(r)?
False
Suppose -75*y + 71*y + 114691 = 3*b, 5*y - 143355 = 5*b. Is y a multiple of 25?
False
Let r(a) = 5*a**3 - 20*a**2 + 9*a - 6. Let d be r(9). Suppose -29*l + 38848 = -d. Does 90 divide l?
False
Let f(b) = 2118*b - 14656. Does 40 divide f(12)?
True
Let v(r) = 6 + r + r**2 - 5 - 6*r**3 + 7*r**3. Let p be v(-1). Suppose 4*c - 306 + 86 = p. Does 11 divide c?
True
Suppose 2*q + 114 = 4*q - 4*y, 2*q = 3*y + 113. Suppose q = 4*k - 53. Suppose -x - 4*p + 5*p = -k, 0 = -4*x - 2*p + 132. Is x a multiple of 3?
False
Let w = -13583 + 24803. Does 33 divide w?
True
Let j(l) = -l**3 + 9*l**2 - 8*l + 50. Suppose -n = 3*p - 23, -3*p + 2*n - 4*n = -25. Is 16 a factor of j(p)?
False
Let a = 6226 - 4007. Let t = a - 1393. Does 7 divide t?
True
Let g(n) = n**3 - 2*n**2 - n + 1. Let p(w) = 93*w**3 + 5*w + 15. Let f(t) = -g(t) - p(t). Is 51 a factor of f(-2)?
False
Let k = -60 + -103. Does 15 divide 0*(-4)/28 - k?
False
Suppose 34*g - 311459 = -51971. Is 24 a factor of g?
True
Suppose 0 = -t + 4*b + 3839, -3*t + 11517 = -b - 4*b. Suppose -t = -4*i + 161. Is i a multiple of 47?
False
Suppose -3*o - 4*b + 722 = 0, -2*b = -4*o + 87 + 883. Let f = 418 - o. Does 8 divide f?
True
Let o(v) = 3*v - 11*v - 3*v - 5 + 6*v. Let w be o(-3). Suppose 56 = w*j - 24. Is 8 a factor of j?
True
Let x(g) = -g**2 - 20*g + 20. Let v(s) = 51*s**3 + 4*s**2 + 3*s + 6. Let r be v(-3). Let w be r/132 - (-4)/22. Does 6 divide x(w)?
True
Suppose -4*u + 76 = 4*p, 0 = -5*u - 1 - 9. Let g be 3/(((-8)/p)/(-8)). Let a = g - 46. Does 15 divide a?
False
Let d(v) = 2*v**2 - 12*v - 8. Let m be d(7). Suppose -4*y = -j + 22, -y = 2*j - m*y - 44. Suppose f + o = 3*f - 25, 2*f + 2*o = j. Is 12 a factor of f?
True
Suppose -5*o = -2*o, -a + o = 410. Let b = a + 583. Suppose -306 = -4*i + 5*u + b, -2*u = -2. Does 9 divide i?
False
Suppose -1462318 + 272662 = -117*x. Does 31 divide x?
True
Let y(b) = 5717*b**2 - 20*b + 1. Does 77 divide y(1)?
True
Let m = 2630 - 1382. Does 5 divide (m/(-80))/(4/(-10))?
False
Suppose -a = -4*a + 45. Is (-2)/a - (-272)/15 a multiple of 6?
True
Suppose -9*a - 5917 - 536 = -4*h, 0 = -4*h - 5*a + 6495. Is 30 a factor of h?
True
Suppose 120 = 11*p + 43. Suppose 0 = -13*q + p*q + 4872. Is 14 a factor of q?
True
Let c = 168 - 357. Let w = -92 - c. Let l = w + 42. Is 20 a factor of l?
False
Let k = 54 + -49. Suppose k = -2*q + 85. Is q a multiple of 4?
True
Let v = -129 - -198. Suppose 5*s - v = 211. Is s a multiple of 7?
True
Suppose -4 = 2*w - 20. Suppose x + 2*j - w = 0, x + 5 - 19 = -4*j. Is 30 a factor of 1 + -4 - (-91 - x)?
True
Suppose 26346 = -3*x - 8*x + 140757. Does 21 divide x?
False
Suppose 5*p + 37 = 4*k, p - 1 = 2*p. Suppose 3*q = -3*l + 27, -4*q - l + 29 = k. Let w(o) = o**3 - 2*o**2 - o - 7. Is 3 a factor of w(q)?
True
Suppose 4*s + 2*l + 2*l = -512, 5*l + 10 = 0. Let r = s - -1537. Does 14 divide r?
False
Suppose 2*i + t - 28 = 6*t, 12 = i - 2*t. Suppose o = -5*q - 103, i*q + 3*o + 0*o = -89. Is (-28)/((-2)/(-4) - q/(-8)) a multiple of 7?
True
Suppose 29*a - 14*a = 0. Suppose y + 39 = 4*f + 4*y, -2*y + 10 = a. Is f a multiple of 3?
True
Let w = 209 + -93. Suppose -4*q + 3*j = w, -q + 2*j = -0*j + 29. Does 18 divide (-5 - q)*(-3)/(-4)?
True
Let j = 8634 + -5983. Is 5 a factor of j?
False
Suppose -94*c + 91*c = -45. Suppose 14*q - c*q + 840 = 0. Does 30 divide q?
True
Let f(u) be the first derivative of 31*u**2/2 - 107*u - 15. Does 16 divide f(5)?
True
Let m(w) = 29 + 2*w**2 - 19*w + 15*w**2 + 4*w - w**2. Let l(q) = -48*q**2 + 44*q - 86. Let p(j) = -3*l(j) - 8*m(j). Does 18 divide p(4)?
True
Let s(j) = -j**2 - 16*j - 16. Suppose 41*d - 13*d + 224 = 0. Does 6 divide s(d)?
True
Suppose 0 = 5*d + 10, -4*j + 4*d - 2*d = -52. Suppose j*g = 5*g + 14. Suppose 0 = g*k + 5*z - 125, 2*z - 193 = -2*k - k. Is k a multiple of 12?
False
Suppose 0 = 3*r - 24 - 147. Let j = r - 52. Suppose -h + 534 = j*h. Does 13 divide h?
False
Let z(b) = -b**3 - 7*b**2 - 17*b - 268. Does 46 divide z(-9)?
False
Suppose -13*o + 4795 = 440. Suppose 4*h + 12*z = 17*z + 450, -3*h = -5*z - o. Does 89 divide h?
False
Suppose -12200 = -30*j + 13480. Is 7 a factor of j?
False
Suppose -4*j = -1014 + 1022. Does 34 divide (-89 + -1)/j - (1 - 0)?
False
Let t(m) = 253*m**3 + 12*m**2 - 21*m + 12. Does 42 divide t(3)?
True
Suppose -17*j = -27*j + 120. Suppose 5452 = j*k + 412. Does 14 divide k?
True
Let j be 6/33 - 1668/(-22). Let b = 1911 - 1911. Suppose -5*h + 202 = -3*p + 2*p, -2*h - 2*p + j = b. Is 20 a factor of h?
True
Suppose -17*s + 12*s - 300 = 0. Let t = s - -60. Let u = t + 20. Is u a multiple of 2?
True
Let s(l) = l**2 - 14*l + 58. Let t be s(7). Let z(h) = 72*h - 48. Is 10 a factor of z(t)?
True
Let a = -4508 + 9170. Is 18 a factor of a?
True
Let s = -195 - -208. Suppose -s*b = -18*b + 405. Does 42 divide b?
False
Let j = -12645 + 17858. Is 60 a factor of j?
False
Suppose -12 = -4*n, -2*n + 7*n - 23419 = -4*m. Is m a multiple of 7?
False
Suppose 9*j = -3*w + 7*j, 3*j = -2*w - 5. Is (-15275)/(-40) - (w - 17/8) a multiple of 12?
False
Let l(r) = -24*r + 555. Is l(0) a multiple of 15?
True
Let z(t) = 20*t**3 - 89*t**2 - 30*t - 205. Let s(h) = -7*h**3 + 30*h**2 + 10*h + 68. Let c(m) = 17*s(m) + 6*z(m). Does 34 divide c(25)?
False
Let v be (19 - 1) + -5 - 9. Suppose -3*f = -v*q + 573, -5*q + 0*f = -5*f - 715. Is 21 a factor of q?
False
Let i(b) = -b**3 - 8*b**2 - 3*b - 10. Let y(q) be the first derivative of -q**4/4 + 4*q**3/3 + q**2/2 + 12*q - 9. Let x be y(5). Is 2 a factor of i(x)?
True
Suppose 47282 - 256154 = -54*h. Does 10 divide h?
False
Suppose -23*v - 1138368 = -62*v - 25*v. Is v a multiple of 34?
False
Let u = 0 - -26. Let i(n) = 18*n + 1539. Let t be i(-86). Is 14 a factor of 25/15 + (-3)/t + u?
True
Let k = -276 + 24168. Is k a multiple of 66?
True
Let r(a) = -3*a**3 + 94*a**2 + 13*a - 116. Does 24 divide r(31)?
True
Let m(h) = 6*h + 9. Let p be m(4). Suppose 25 = 3*q + 4*z, 4*q + 0*q + 5*z - p = 0. Suppose -q*w = -3*w - 36. Is w a multiple of 9?
True
Suppose 1138*p + 53323 = 5*m + 1137*p, m - p = 10667. Is 62 a factor of m?
True
Suppose 1852*k = 1857*k + 4*d - 139336, -k = d - 27869. Does 14 divide k?
True
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
+ v. Is p a prime number?
True
Is (-262108)/(-16) + 18/(-24)*1 a prime number?
True
Let p be (10/(-4) + 2)*(346 + -2). Let l = p - -299. Is l prime?
True
Let c = -278 - -523. Suppose 0*v - v = 0. Suppose 2*t = -7*g + 3*g + 944, g + 5*t - c = v. Is g prime?
False
Suppose -18*v + 68950 = -8*v. Suppose v = 11*g - 4*g. Is g a composite number?
True
Suppose 0 = s - 3*h - 196, 3*h + 179 = 2*s - 216. Suppose 3*q - s = 284. Is q prime?
False
Is 6/24*28 - -2472 a prime number?
False
Let k = 1749 + -222. Let i = -820 + -240. Let d = k + i. Is d composite?
False
Let x = -293 + 670. Is x a composite number?
True
Suppose 28*k = 92311 + 472141. Is k a prime number?
False
Suppose 5*v = -3*d + 40, 5*d + 3*v = -v + 45. Suppose -277 - 903 = -4*y + 2*m, d*y + 5*m - 1505 = 0. Let f = -88 + y. Is f a composite number?
True
Suppose w + 4*q - 3385 = 0, -15*q = -w - 13*q + 3391. Is w a composite number?
False
Let c = 1710 + -949. Is c prime?
True
Suppose -23*c + 36079 = 5*i - 19*c, -3*i + 21677 = -5*c. Is i prime?
True
Suppose 15789 = 63*q - 100320. Is q composite?
True
Suppose 3*c = 86 + 7591. Suppose -5*p + 2*p = -c. Is p prime?
True
Suppose -2*k - 5*v + 35478 = k, k + 4*v = 11833. Is k a prime number?
True
Let n = 779 - -4554. Is n a prime number?
True
Let y = -72056 - -127219. Is y a composite number?
False
Let f(p) = -2*p**3 - 23*p**2 - 20*p - 165. Is f(-16) a composite number?
False
Is (6 + 25/(-4))*-18188 prime?
True
Let g(v) = -273*v + 295. Is g(-16) composite?
False
Suppose -3*h - 173 = 4*w + 79, -5*h = 3*w + 178. Let j = w + 23. Let a = 64 + j. Is a composite?
True
Let l(x) = -2*x - 2*x**2 - 7*x - 4 + x**2 + 2*x. Let g be l(-10). Let a = g + 89. Is a a prime number?
False
Let q = 28 + -32. Is -2 + 5 - 304/q composite?
False
Let f(c) = 85*c**2 - 13*c + 17. Is f(-9) composite?
False
Suppose 8*l + 4066 = 6*l. Let b = -994 - l. Is b a composite number?
False
Let u = 18 + 4. Is (148/8 - 0)*u a composite number?
True
Is (-3389)/(-2 - (1 - 2)) composite?
False
Suppose 9*p - 14018 = 13963. Is p composite?
False
Suppose -3*s - 6*s + 0*s = 0. Suppose -3*b - 3*k + 808 = 2*b, s = 5*b - 2*k - 803. Is b composite?
True
Suppose -17*v - 85 + 2108 = 0. Is v a prime number?
False
Suppose -y + 187 = -2*y. Let t = 553 - 289. Let h = y + t. Is h composite?
True
Let h(u) = 533*u + 21. Suppose -2*a - 12 + 20 = 0. Is h(a) prime?
True
Is 20/(-220) - 325920/(-11) a prime number?
True
Suppose 2*x - 3*w - 14 = -0, 4*x - 8 = -4*w. Suppose x*d - 2*s - 2*s = 452, 4*d - 431 = -3*s. Is ((-34)/4)/((-11)/d) a prime number?
False
Is (45/12 + -4)/(4/(-98528)) composite?
True
Suppose 8 = -2*r - 4. Let o = -2 + r. Is 382*(-3 - 28/o) composite?
False
Let d(q) = 4*q + 6. Let i be d(-4). Let z = 16 + i. Is (-4)/z*(-5667)/2 prime?
True
Suppose -39*l = -26*l - 565721. Is l a composite number?
False
Let p(o) = -223*o + 49. Is p(-34) composite?
True
Let l be (9732/(-30))/((-4)/10). Suppose -2*n - 5*w + 3388 = l, -5*n - 5*w + 6450 = 0. Is n composite?
False
Let y be -6 + (-9)/3 + -1. Let i = 137 + y. Is i a prime number?
True
Let j = -3464 - -6391. Is j a composite number?
False
Let u = 19706 - 11872. Is u a prime number?
False
Suppose -10 = -13*r + 18*r, 2*f = r + 73048. Is f composite?
False
Let k(h) = -8*h**3 + 5*h**2 + 12*h + 88. Is k(-7) a prime number?
False
Suppose 4 = -5*h + h. Let i be -3 - (h - (-4)/(-1)). Suppose 0 = v - i*v + 413. Is v a composite number?
True
Let j(u) = 570*u - 7. Let n(p) = -4*p - 5. Let k be n(3). Let a = 19 + k. Is j(a) a composite number?
True
Let x(c) = 57*c**2 - 4*c - 10. Is x(3) a composite number?
False
Let v(i) = 2*i**2 + 4*i + 3. Let d be -4*((-28)/8 - -3). Let h(m) = -m**3 + m**2 + m. Let p be h(d). Is v(p) a composite number?
False
Let f(n) = n**2 + 2*n + 14633. Is f(0) a composite number?
False
Let r be 2/(-3 - 2102/(-700)). Suppose 0 = 4*o + 5*k - 1327, 1997 = 4*o - 5*k + r. Let b = o + 409. Is b a composite number?
True
Suppose 61*n = 54*n + 111013. Is n a prime number?
True
Let q(r) = r. Let d be q(9). Let p = d - 5. Suppose -p*y = -82 - 66. Is y a prime number?
True
Let v(z) = -19*z**3 + 5*z**2 - 2*z + 2. Suppose -x = 3*x - 20. Let f(d) = 38*d**3 - 9*d**2 + 4*d - 3. Let p(j) = x*v(j) + 3*f(j). Is p(2) composite?
False
Let v(j) = 2*j**2 - 15*j + 19. Suppose -3*q = -q - 32. Let t be v(q). Is (t/6)/(5/70) a prime number?
False
Let n = -1 + 3. Let g = -96 + 207. Suppose -149 = -2*j + n*h + g, 3 = -h. Is j a composite number?
False
Suppose 5*v - 10162 = 37843. Is v a composite number?
False
Let i = 37 + -37. Suppose 5*a - 1162 = -4*b + 3*a, i = 3*b + a - 874. Is b prime?
True
Let p(r) = 7*r**3 + 16*r**2 + 9*r + 3. Is p(4) composite?
False
Suppose 6*s = 4*l - 196088, 13*s = 2*l + 9*s - 98046. Is l composite?
False
Is 44245/25 + (-32)/40 a composite number?
True
Suppose -4 - 2 = -2*d - 2*s, -1 = s. Suppose -d - 1552 = -4*x. Is x a prime number?
True
Let d = 3233 - 1716. Is d a prime number?
False
Let t(k) = 97*k**2 + 14*k - 51. Let y be t(-16). Suppose 4769 - y = -12*r. Is r composite?
True
Let k = 2856 + -1846. Suppose 0 = -19*j + 18*j + 1008. Suppose r + 3*r = -2*m + j, -4*r + k = m. Is r composite?
True
Is ((-5864)/(-44))/((-4)/(-22)) composite?
False
Let j be (12/(-8))/(6/16). Is (-1614)/j*8*5/60 a composite number?
False
Let z = -16 + 16. Suppose 3*w - 6*w + 837 = z. Suppose -q - 5*h + 77 = 0, -3*h + w = 3*q - 0*h. Is q composite?
False
Suppose -4*u - 5*v + 35 = 0, 4 = -u + 2*v + v. Suppose 0 = -u*c - 0*c. Suppose 3*k - 223 - 140 = c. Is k a prime number?
False
Suppose 2*d + 15792 = 5*r, -r = 4*r - 5*d - 15795. Is r composite?
True
Let n(o) be the first derivative of 1753*o**3/3 - 3*o**2/2 + o - 47. Is n(-1) composite?
True
Suppose -17*u - 13*u = -43230. Is u a composite number?
True
Suppose 9*a + 0*a = -90. Is (-744)/(-40) - 4/a composite?
False
Suppose -5*t + 4*t = -1, -2*v + t = -1225. Is v a prime number?
True
Suppose -2*h + 5275 = -0*h + a, 5*h = 5*a + 13195. Is h composite?
True
Let j(z) = z + 12. Let a be j(-10). Let f = -1 + 1. Suppose -2*c - a*p = -15 - 21, f = -p - 4. Is c a prime number?
False
Let w(i) = 4*i**2 + 21 - 29 + 11*i - 3*i**2. Let c be w(-12). Suppose -t + 105 = 4*y, 190 = c*t - 2*t + 3*y. Is t a composite number?
False
Suppose 6*h - 2559 = 975. Is h composite?
True
Is 1*(74106/(-6))/(-3) composite?
True
Let r = -29 + 29. Suppose a - 2 = r, f = -a - a + 1661. Is f prime?
True
Let g be 2*(45/(-6) + -1). Let z = -13 - g. Let p(d) = 11*d**2 + 3*d - 1. Is p(z) a composite number?
True
Let m(k) = -k**3 + 12*k**2 - 12*k - 13. Let s = 31 + -21. Is m(s) a composite number?
False
Let k = -550 + 1067. Is k composite?
True
Suppose -614 = -s - 5*i, 27*s - 3*i + 622 = 28*s. Is s a prime number?
False
Let a be 4 - 5 - (3113*-1 - 0). Let s = -1961 + a. Is s composite?
False
Let z(h) = 1083*h - 226. Is z(5) a prime number?
True
Let t = 15 + 1. Suppose 74 + t = -3*p. Is 970/4*(-24)/p a prime number?
False
Let z = 667 - -8932. Is z prime?
False
Suppose 2*b + 2 = 2*u, -2*u = -u - 5*b + 7. Suppose u*x - 95 = 2*x. Is x composite?
True
Let y(g) = -162*g**2 + 15*g - 5. Let q be y(4). Let s = q - -4686. Is s a prime number?
False
Let q be 125/30 + 1/(-6). Suppose 5*w + o - 14103 = 3*o, q*o - 14079 = -5*w. Is w prime?
True
Suppose u + i - 21135 = 0, 3*u - 42258 = u + 4*i. Is u composite?
True
Let u = 448 - 53. Is u a composite number?
True
Let q(r) = -9*r + 3. Let w be q(2). Let x be 5*(-6)/w + -3. Is -1 + x - -3 - -552 prime?
False
Is ((2 - -4)/6)/(4/3068) a prime number?
False
Suppose 0 = -2*z + 2*u + 14614, z = 4*u + 3225 + 4082. Is z prime?
True
Is (-14165)/10*(-6)/(-1 + 4) composite?
False
Let m(w) = -w**2 - 5*w + 1. Let x be m(-4). Suppose 3*l - 5*l = 4*o - 990, -1233 = -5*o - l. Suppose -q + 111 = 3*p - x*p, -2*q - 2*p = -o. Is q composite?
True
Let j = 2537 - 506. Is j a prime number?
False
Suppose -5*s - 2*d = -28339, 0 = 5*s - 2*s - 2*d - 17013. Is s a prime number?
True
Let q(p) = -125 + 64 + 62 + 37*p. Is q(4) a prime number?
True
Let g = 213 - 151. Suppose -3*q + 2*c + g + 101 = 0, -41 = -q - 2*c. Is q composite?
True
Let n be 6167/35 - (-1)/(-5). Let f = -33 + n. Is f prime?
False
Let j be (6/12)/((-1)/(-282)). Suppose 141 = o - 5*n, 2*n + j = o + 7*n. Is o composite?
True
Is (-1115)/(-3)*(78/(-10) - -9) composite?
True
Let c be 27/12 + (-21)
|
{
"pile_set_name": "DM Mathematics"
}
|
ding order.
8, h, 0, -0.3
Let h = -1788 + 1798. Sort h, 0.1, -7.
-7, 0.1, h
Let h(i) = i**3 + 6*i**2 + 5. Let c be h(-6). Suppose 14*o + 2*o = -48. Sort c, 3, o, 1 in ascending order.
o, 1, 3, c
Let y = -702 + 5613/8. Put -2, -0.1, y, 2/13 in descending order.
2/13, -0.1, y, -2
Let q be 22/(-3)*(16/(-2) + 5). Let y(z) = z**3 - 22*z**2 + 3. Let m be y(q). Put m, 9, -1/3, -2/7 in descending order.
9, m, -2/7, -1/3
Let h(x) = x. Let q be h(-1). Let b(d) = 2*d + 12. Let v be b(7). Let r = v - 25. Sort q, r, -11.
-11, q, r
Let n be ((-513)/38)/(15/20). Sort 0, n, -22 in descending order.
0, n, -22
Let i be ((-10)/52)/(3/10). Let r = 4723/13 - 363. Let g = i + r. Sort g, 3/8, -8 in ascending order.
-8, g, 3/8
Let g = 43 - 43.24. Let d = 0.16 - g. Sort d, 1/3, -0.5.
-0.5, 1/3, d
Let v(q) = 7*q**2 - 2. Let c be v(1). Suppose -4*l - 16 = 0, 0 = -0*j + 4*j + 3*l + 12. Suppose 3*b + j*b = -9. Put 3, b, c in increasing order.
b, 3, c
Let i = 2272601/17165 + 9/3433. Let u = 133 - i. Let c = 11 - 16. Put u, -0.1, c in descending order.
u, -0.1, c
Suppose -2*j - 2*j - 3*v = 9, -2*j + 13 = 5*v. Let u = j + 6. Suppose -3*z + 15 = -u*z - 3*i, 2*i = -2*z + 30. Sort z, 2, -5 in decreasing order.
z, 2, -5
Let m(u) = u**3 - 8*u**2 + u - 6. Let w be m(8). Let p = w + -7. Let j(s) = -s**3 - 8*s**2 - 6*s + 6. Let v be j(-7). Put 4, v, p in descending order.
4, v, p
Let a = 712.2 + -712. Put 0, a, -40 in decreasing order.
a, 0, -40
Let b = 169 + -173. Sort -4/5, 8, b.
b, -4/5, 8
Let a = 12 - 9. Suppose a*w + 2*w = 0. Suppose 0 = h + 5*z - z - 11, 3*z = -4*h - 8. Sort w, h, 2 in increasing order.
h, w, 2
Let m = -18 - -20. Let v be (m - 0) + 17 + 0. Let d = v + -16. Sort -4, d, -3 in ascending order.
-4, -3, d
Let d be ((-2)/(-7))/(15 - 728/49). Sort 3, d, -3 in decreasing order.
3, d, -3
Suppose -15*i - 4 = -2*j - 17*i, -3*i - 9 = 0. Put j, 174, 0 in ascending order.
0, j, 174
Let y be 8/(-14) - (-121)/77. Let h = -24 - -14. Let o = -9.3 - -9. Sort o, y, h in descending order.
y, o, h
Let r(d) be the first derivative of -d**3/3 + 6*d**2 - 20*d + 16. Let g be r(10). Sort -1, 8, g in descending order.
8, g, -1
Let c = -0.0562 + 0.3562. Sort 4, -5, 9, c in descending order.
9, 4, c, -5
Let g = -0.3 + -1.7. Let o = -0.09 + -0.91. Put -0.3, g, o in descending order.
-0.3, o, g
Let f = -27.9 + 22.9. Sort f, 5, 7 in decreasing order.
7, 5, f
Let n be (-1 - 3)/(-4) - -1. Let q be -1 + (2 - n)/3. Put 1, -5, q in increasing order.
-5, q, 1
Let s be (4 - 1) + ((-66)/(-36))/(-1). Let n = 23/21 - s. Let v = 3 - 2.9. Put v, -4, n in increasing order.
-4, n, v
Let q = -8 - -13. Put 0, 4, q in increasing order.
0, 4, q
Suppose 76 - 120 = 11*x. Sort -1, x, -5, 18 in decreasing order.
18, -1, x, -5
Let p = 1389 + -1386. Suppose 2*u - 7*r = -3*r - 28, 3*u - r + 17 = 0. Sort p, 4, u, 5 in ascending order.
u, p, 4, 5
Let g = 3251/4 - 812. Let q = -2 + -1. Put q, g, 0.1, -5 in descending order.
g, 0.1, q, -5
Let m = -13.7 + 11. Let z = 20.3 - m. Let c = z - 23.1. Put c, -4, -0.4 in ascending order.
-4, -0.4, c
Suppose 72 = -14*m + 114. Put -1, m, 5 in decreasing order.
5, m, -1
Let f(p) = p**2 - 2*p - 4. Let s be f(4). Let d(l) = l**3 + l**2 - l - 2. Let v be (-2 - -3)/(3/(-6)). Let q be d(v). Sort 2/5, s, q.
q, 2/5, s
Suppose 2 + 8 = 2*v. Suppose 2*m - r = -2, 1 = -v*m + r - 4. Let b = 0.64 - 4.64. Sort -5, b, m in decreasing order.
m, b, -5
Suppose 5*k + 29 - 9 = 0. Let p(i) = -i**2 + 3*i - 6. Let m be p(5). Let u be 19/(-7) - m/(-56). Sort u, 0, k in decreasing order.
0, u, k
Let f = 219/7 + -31. Put -1/60, f, 2, 0.3 in descending order.
2, 0.3, f, -1/60
Let u(s) = 2*s**3 - 8*s**2 - 6*s - 5. Let p be u(5). Suppose -3*j + 0*m - p = 2*m, -18 = j + 5*m. Let a = 4 - 4. Put j, a, 1 in ascending order.
j, a, 1
Let d be 35/14*(16/(-10) - -2). Let q be (6/2 - d) + 3. Let j be (-2)/(-5) + (-54)/10. Sort q, 2, j in decreasing order.
q, 2, j
Let k(i) = -47*i - 43. Let a be k(-1). Sort 2, -5, a in ascending order.
-5, 2, a
Suppose -169 = -21*d - 1303. Sort 0.2, d, 3/2, -0.4.
d, -0.4, 0.2, 3/2
Let p be (-6*(-6)/(-12))/(-1). Sort -4, p, 5, 2 in ascending order.
-4, 2, p, 5
Let a be (6/(-24))/((-2)/(-4)). Let d = 9 + -10. Sort a, 1/9, d in ascending order.
d, a, 1/9
Let q be (490/8 - 2) + -1. Let d = q + -58. Let y = -10.6 + 8.6. Put y, d, -1 in descending order.
d, -1, y
Let l(k) = k + 11. Let o(q) = 10. Let t(p) = 4*l(p) - 5*o(p). Let b be t(4). Let m = b + -7. Put -3, m, -1 in decreasing order.
m, -1, -3
Let c be ((-4)/(-24))/(2/8). Let x = -107.8 - -108. Sort c, x, 0 in ascending order.
0, x, c
Let a be 38/(-34) + (0 - -1). Let l be (6/40*4)/((-6)/15). Let c = -17 + 12. Put c, l, a in decreasing order.
a, l, c
Suppose -21 = -6*h + 9. Sort 11, -4, h in increasing order.
-4, h, 11
Let j = 772 + -778. Put -4, j, 15 in decreasing order.
15, -4, j
Let v be -3 - (-3 + 6/1). Let f(u) = u**2 + 5*u - 9. Let a be f(v). Sort 3, -1, a.
a, -1, 3
Let j = 5 + 3. Let m(b) = -b**3 + 7*b**2 + 8*b - 2. Let u be m(j). Let x = -2/5 + 0. Put u, x, 0.3 in decreasing order.
0.3, x, u
Let u(s) = -s**2 + 5*s + 2. Let v be u(5). Let a(z) = -3 - 2*z + z - 4*z + z**v + z. Let m be a(5). Sort -5, m, 3.
-5, m, 3
Suppose 0 = -4*a - 5*t - 11, -9*t + 11 = -3*a - 10*t. Suppose -2*z + 7 + 3 = 0. Sort z, 2, -2, a.
a, -2, 2, z
Let l be (-1)/(-10 + 1)*-3. Let i = 6/95 - 256/1045. Sort l, i, -0.08, -2 in increasing order.
-2, l, i, -0.08
Let j be (2 + 0)*(-2 - 0). Let n = 4 + j. Put n, -2, -7 in increasing order.
-7, -2, n
Suppose -2*h - 1 = 3*s - 5, h - 2 = -2*s. Let x be 2 + -1 - -2 - -1. Let l(d) = -d**3 + 4*d**2 + 2*d - 3. Let a be l(x). Sort 0, h, a.
0, h, a
Suppose 20*g = 43*g + 391. Sort -2, g, -23.
-23, g, -2
Let i = -1.4 + 4.4. Suppose -4*k + 21 = 29. Sort k, -2/17, i.
k, -2/17, i
Let b = -1.59 + -0.11. Let v = b - -3. Let f = -0.7 - v. Put -1, f, -1/3 in ascending order.
f, -1, -1/3
Let x = 8 + -20. Let q be 6*(2 - x/(-9)). Suppose -q*j - 33 = 5*s, -2*s - 15 = 2*j - 1. Sort -3, s, 5 in increasing order.
s, -3, 5
Let y = -11 - -9. Let i = 14.8 - 17. Let o = y - i. Put -1/4, o, 4 in increasing order.
-1/4, o, 4
Let w be (-6)/(-4)*(-23 - -25). Let k be (-3 + w + 0)/(-1). Suppose -4*c + b - 2*b = 17, 3*c - 5*b + 30 = k. Put 0, c, 4 in descending order.
4, 0, c
Let q = -31.1 - -31. Put -19, -4/3, 5, q in decreasing order.
5, q, -4/3, -19
Let a be 0 - 0 - (1 - 4). Let s = -13 + 17. Suppose 4*d + 0*d = 12, -2*v = -2*d + s. Put -4, v, a in ascending order.
-4, v, a
Suppose 3*x = -x + 5*z - 204, 5*z = -20. Let y be 245/x + (-6)/(-16). Sort y, 4, -1, 11 in descending order.
11, 4, -1, y
Let o = 163 - 202. Put -2, o, 3 in decreasing order.
3, -2, o
Let z be -87*-2*(-1)/2. Let w = 5676/5 + -1049. Let t = z + w. Put t, 3, 0 in increasing order.
t, 0, 3
Suppose 10*y - 11*y + 5 = 0. Put 1, -15, y in increasing order.
-15, 1, y
Let t be (52/(-84) - -1) + 4/14. Sort -4, t, -4/13, 2.
-4, -4/13, t, 2
Let t(v) = -2*v**2 + 10*v + 71. Let n be t(9). Sort 1, -5, n, -6 in decreasing order.
1, n, -5, -6
Suppose -4*x + 12 = -b - x, -21 = 2*b - 5*x. Put 5, 1, 13, b in ascending order.
b, 1, 5, 13
Let g = 7 - 3. Let o be (-3)/15 - ((-576)/20)/9. Put -28, g, o in descending order.
g, o, -28
Let t be ((-11)/7161)/(1/3779) + 3. Let c = t + 84/31. Let m be (-7)/(-6) + 3/(-6). Sort 0.5, m, c.
c, 0.5, m
Let t(h) = 9*h + 13. Let o be t(-1). Let l(f) = f**3 - 11*f**2 - f + 12. Let j be l(11). Sort o, 5, j.
j, o, 5
Suppose t + t - 2*a - 36 = 0, 0 = -3*t - 4*a + 68. Suppose 15*v - 20*v - t = 0. Let p be -1 + (0/(-1) - 1). Put v, 3, p in increasing order.
v, p, 3
Suppose -28*l + 6 = -a - 25*l, 6 = -5*a + 3*l. Let d = -29 - -52. Sort d, -3, a in ascending order.
-3, a, d
Let q be -2 - (35/10)/((-10)/20). Let i = -2 - -2. Sort -4, -5, i, q in decreasing order.
q, i, -4, -5
Suppose a - 20 = -a. Suppose 3*p - a = -2*p. Suppose p*h - 5*n = -16, 2*h - 6 - 2 = -n. Sort h, -5, -2 in decreasing order.
h, -2, -5
Suppose 32 - 44 = -12*c. Sort 0, c, 3, -1 in descending order.
3, c, 0, -1
Let r be 10/(-95) + (-55)/19. Sort r, 85, 3 in ascending order.
r, 3, 85
Suppose 0 = 2*b - 16*k + 15*k - 3, -4*b = 3*k + 9. Sort 4, b, -2, 6 in descending order.
6, 4, b, -2
Let q be (75/(-9))/5 + (-5)/15. Let t be (100/(-18))/q - (-2)/9. Sort t, 1, -10 in descending order.
t, 1, -10
Let q
|
{
"pile_set_name": "DM Mathematics"
}
|
(-2)/2)
-3/7
Calculate 22/4 - (-42)/(-7).
-1/2
(-46)/(-69) - (-5)/(-3)
-1
What is (-25)/(-10)*36/(-30)?
-3
Calculate 61 - 56 - (1 - -9).
-5
Evaluate (-7)/((-14)/4)*(8 - 6).
4
Evaluate ((-4)/(-2) + 1)/(22 - 19).
1
Evaluate (-45)/(-55) - (-6)/33.
1
What is the value of (-513)/(-63) - 2/14?
8
Calculate -3 - (-15)/6*(-12)/(-15).
-1
Evaluate (-62)/(-14) - 180/420.
4
Evaluate -1 + -2 + 2 + -4.
-5
Calculate -1 - (-64)/(-12) - (-3)/9.
-6
What is 4/(-5) + 64/(-20) + 5?
1
What is the value of (28/10)/(130/(-325))?
-7
Evaluate -3 + 11/(-7) + 5.
3/7
What is the value of (-21)/(-14)*(-16)/(-4) + -1?
5
2/(-9)*(5/2 - 1)
-1/3
What is -2 + 17/(-4) - 29/(-116)?
-6
((-51)/(-45) + -1)*81/(-54)
-1/5
Calculate 96/(-189) + (-4)/(-18).
-2/7
5/(75/78) + -6
-4/5
What is (-50)/35 + (-18)/(-42)?
-1
What is (-6)/15 + 4/(-140)?
-3/7
What is the value of (-3)/(-2)*-2*(-3430)/1470?
7
3/((5 - 3)/(-4) - 7)
-2/5
What is the value of (30/12)/((-6)/4)?
-5/3
(-24)/14*1*(-35)/10
6
Evaluate 2 - 1 - (-1 - 10/(-3)).
-4/3
What is the value of -2 + 1 + (3 - 4)?
-2
Calculate 1 + 3 - 0*4/16.
4
What is (30/(-9))/(0 + 2/3)?
-5
What is the value of (-40)/(-56)*4/(-10)?
-2/7
Calculate 288/(-120)*(-5)/3.
4
What is the value of (0 + (-3)/4)/((-18)/72)?
3
3*(26/(-3) - -8)
-2
((-38)/42 - 8/(-14)) + 0
-1/3
Evaluate (-8 - 0)*(-3 - -2).
8
What is (35/5 + -10)*-2?
6
Evaluate -8 + (-7 - (-8 + -4)).
-3
72/8 - 335/35
-4/7
What is the value of (-2)/9 + (8 - 496/36)?
-6
28/12 + (0 - 1/3)
2
What is (-35)/15 - 684/(-270)?
1/5
What is 3*(-4 + 20/6)?
-2
Evaluate (-8)/2 + -5 + 10.
1
(15/(-6) + -2)*8/(-12)
3
Evaluate 1 + ((-9)/(-12) - 13/(-4)).
5
Evaluate 9/(540/64) - 20/50.
2/3
Evaluate (-8 + (-194)/(-24))/((-2)/(-4)).
1/6
What is the value of 170/(-1071)*(-3)/(-5)?
-2/21
(2*(-3)/18)/((-217)/372)
4/7
What is (-2)/(-3)*12/(-24)?
-1/3
Evaluate ((-10)/6)/((-15)/12).
4/3
What is the value of 39/6 + (-81)/54?
5
What is 1/(-2) - 1*(12 + -13)?
1/2
Calculate ((-1)/(-2))/(3/(-12)) - -3.
1
What is the value of 204/119 - 4/(-14)?
2
-3*2*(-4)/6
4
Evaluate -3 - ((6 - 0) + -7)*1.
-2
Evaluate -6 - (2/(6/(-9)) + 0).
-3
What is the value of 2 - 24/64*5?
1/8
Evaluate -6 + ((-783)/(-45) - 11).
2/5
What is (-2)/7*2*21/30?
-2/5
Calculate (-16)/32 - ((-11)/(-2) - 3).
-3
What is the value of 0*(-5)/(-25) + -1?
-1
Calculate (2 + -1 - 1)/(31 - 32).
0
Evaluate 1*15/((-45)/(-6)).
2
Calculate (-4 + 3)*3*(-4)/4.
3
(-74 - -75)/(1/3)
3
What is 2/(-2)*(1 + (-4 - -5))?
-2
Calculate (6/(-10))/(3*(-4)/(-60)).
-3
Evaluate (-21)/(-10) + 3 + (-54)/15.
3/2
Evaluate (-20)/(-168) + 10/(-35).
-1/6
What is 4/(-10) - (-10)/(600/54)?
1/2
What is ((-6)/(-12))/(3/36)?
6
What is 25/90 - (14/18 + -1)?
1/2
What is -2 + 34/14 + 3915/(-609)?
-6
What is ((-1 + 1)*3/(-9))/3?
0
What is 25*16/80 - (-30)/(-2)?
-10
What is 5/(-2) - 425/(-50)?
6
18/(-15) + (-114)/(-95)
0
Evaluate (-36)/24 + 0 + 2.
1/2
((-190)/(-20) - 9)/(3/(-6))
-1
What is the value of 36/22*((-88)/(-24) + -4)?
-6/11
Evaluate 464/(-6264) + 40/54.
2/3
What is the value of (-3 - (-5 - 2))/(-1)?
-4
((-66)/55)/(6/(-15))
3
Evaluate 6 + (-14)/10 + 46/(-10).
0
12*(-12)/(-18) + -8
0
What is 3/((-8)/((-96)/(-18))) + 3?
1
5/(1800/64) + 4/(-10)
-2/9
Evaluate (-2 - ((-70)/(-4))/(-7))*0.
0
What is 3 + (-1 - (-15)/(-7))?
-1/7
Evaluate 45/114 + (-3)/6.
-2/19
Calculate 1/(3/(-147)*-7).
7
What is 5/(-3)*(7 - (-4 - -8))?
-5
Calculate (7/(14/(-12)) - -4)/(-8).
1/4
Evaluate 4*(-4)/6*(-147)/(-196).
-2
Calculate ((-20)/(-50))/((-3)/15).
-2
What is 6/(-21) - (-1)/(7/(-33))?
-5
Evaluate (-3)/(-12) - (81/(-60) + 2).
-2/5
(26/((-1248)/36))/((-18)/16)
2/3
Calculate (-7)/(-21)*(-3 + 3).
0
Evaluate -2*(6/(-2) - (-19)/6).
-1/3
Evaluate 7/(-21) - (-200)/24.
8
(-325)/390 + (-2)/12
-1
((-4)/(-140))/(-3 + (-16)/(-5))
1/7
What is (4/(-40))/(((-8)/(-30))/2)?
-3/4
What is (2/(-4))/((-14)/(-56))?
-2
What is the value of (4/(-4))/((7/(-3))/(-7))?
-3
(3 + (-44)/12)/(24/(-18))
1/2
What is the value of 2*(-2)/(-56) - 966/(-196)?
5
Calculate -5 - (6/(-2) + -7).
5
What is the value of (3/90)/(6 + (-210)/36)?
1/5
Calculate (-2)/(51/(-6) - -11).
-4/5
What is 7613/(-3972) - 2*(1 + -2)?
1/12
(16/(-84))/(4 + -2)
-2/21
(4/3)/((-14)/21)
-2
What is 14/(-4 - 3) + (-36)/(-17)?
2/17
What is the value of (4 - -2)*(3 + (-87)/30)?
3/5
What is the value of ((-72)/63)/(-3 - 38/(-14))?
4
What is -1 + (12/(-3) - (-3 + -2))?
0
What is (-6)/(3*-8)*(-24)/(-2)?
3
Calculate 4/(((-2)/(-5))/((-16)/(-40))).
4
What is (6/14)/(-3)*(6 + -10)?
4/7
Calculate 45/(-15)*(-2 - 26/(-6)).
-7
((-1)/((-19)/(-190)))/(-1 - 3)
5/2
1*-1 + 28 + -31
-4
Evaluate (-88)/33*(-30)/(-680).
-2/17
(2/2)/((-56)/(-168))
3
What is 176/99 + (-12)/(-54)?
2
Evaluate (1 - (-6 - -3)/(-6))*6.
3
Calculate (1 + -2)/(34/(-170)).
5
Evaluate (6 - (-10 + 8 - -9)) + 4.
3
Evaluate -77*(440/56 + -8).
11
7 - (-6)/(90/(-87))
6/5
What is 1 + 0/2 + 70/(-40)?
-3/4
Evaluate ((-2)/(-64)*-6)/(15/(-10)).
1/8
Calculate (-36)/180*5/(-8).
1/8
(585/27)/5 + (1 - 4)
4/3
Calculate (2/(-6))/(0 + (-4)/60).
5
Calculate ((-6)/(-20))/((-10)/140*-3).
7/5
Evaluate -1 - 9/14*-2.
2/7
Calculate (-1)/(-7) + 6924/(-840) + 8.
-1/10
What is the value of ((-6 + 3)/(-30))/((-12)/30)?
-1/4
Calculate (3 - -2)*(-2 + 56/30).
-2/3
(-6)/(-5 - 13) + 2/6
2/3
What is the value of (14/4)/((-12)/24)?
-7
What is the value of 54/(-36) - (-1)/(-1 + -5)?
-5/3
Evaluate (-3)/(17 - 5) - (-126)/312.
2/13
What is (-6)/(-20) - 231/420?
-1/4
What is the value of (46/(-12) + 1/(-6))*1?
-4
((-7)/5)/(234/30 - 8)
7
Evaluate 52/16 + -3 + 33/(-484).
2/11
Calculate (-14)/((-224)/12) + 0.
3/4
Calculate (9/(-10))/(510/850).
-3/2
Calculate -5*(9/10 + 6/(-15)).
-5/2
(-21)/12 - 1/(-4)
-3/2
What is 14/(84/9) + (-11)/6?
-1/3
What is 1/(-5 - -2) - (-65)/15?
4
Calculate (-6)/(-24)*(6/3 - 3).
-1/4
108/1782 - (-120)/(-891)
-2/27
-7*2/8*501/2338
-3/8
What is 21/6 + (-12)/8?
2
Calculate 30/(-14) - (3 + (-5 - 0)).
-1/7
Calculate (43/258)/(((-30)/(-63))/(-5)).
-7/4
207/(-54) + 0 + 20/24
-3
Calculate (6 - (-18)/(-2))/(-9).
1/3
Evaluate ((-33)/(-77))/(-5 - 136/(-28)).
-3
What is 18/(-10)*4*(-105)/252?
3
Calculate 2/12 - 2 - (-1)/3.
-3/2
What is (-420)/(-132) - (2 - (-1 + 0))?
2/11
Evaluate (1/(21/14))/((-1)/3).
-2
Calculate ((-18)/54)/(2/6).
-1
What is 1*(-2)/(16/(-4))*-4?
-2
What is the value of (85 - 89) + 2 + -4?
-6
Evaluate ((6/(-2))/(-36))/((-3)/(-8)).
2/9
Evaluate -6 + (18/10)/(63/105).
-3
-5*(1 - 0)/1
-5
Evaluate 5/(-36 + 6) - (-15)/(-18).
-1
Evaluate 3*(5 + -6 + 2).
3
Calculate -5*(-6)/75*(9 - 4).
2
What is (16 + -15)*(-4 - 88/(-20))?
2/5
Evaluate -2 - 3/(-1 - 4/(-3)).
-11
What is the value of (-6 + 7 - (-4)/2) + -2?
1
What is ((-256)/240)/((-2)/15)?
8
Calculate ((-188)/(-1410))/(1 - (-2)/10).
1/9
What is the value of (-4 + 7)/18 - 115/(-30)?
4
Calculate (-102)/42 + (-3 - 1 - -6).
-3/7
Calculate (4*(-3)/9)/((-40)/18).
3/5
What is ((-6)/(-12))/((-6)/(-24))?
2
56/(-196) - ((-37)/7 - -2)
3
Evaluate (-68)/(-12) - ((-28)/(-6))/7.
5
What is 3 + -3 + 1 + -3 + 0?
-2
Calculate (3/(-2))/(((-75)/20)/1).
2/5
What is 728/336 + 5/(-3)?
1/2
What is 4/42*(-2)/((-54)/63)?
2/9
Calculate ((4 - 10) + 2 + 6)*-2.
-4
Calculate (-172)/20 - (-288)/32.
2/5
What is the value of 2/(-10)*3 - (22 + -22)?
-3/5
What is the value of (-23)/7 - (-2)/7?
-3
Evaluate ((-6)/(-28))/((-5)/(175/(-10))).
3/4
What is (-1)/((-2 + -3)/20)?
4
What is the value of ((-1)/(-4)*5)/(1/4)?
5
((-5)/15*3)/(44/(-8))
2/11
Calculate (-3)/(-1) - (27/2)/3.
-3/2
Calculate 7/(-1) - 775/(-100).
3/4
What is (-17 + 5 - -4) + 4?
-4
What is ((-27)/(-81))/((-7)/3 - 1)?
-1/10
Evaluate -5 + 0 - (2 - -4).
-11
What is ((-1248)/(-91) + -14)/((-4)/(-7))?
-1/2
Evaluate ((-744)/(-620))/((-6)/(-20)).
4
Calculate (-8)/(-20) + 72/(-80).
-1/2
-2 - ((-212)/(-36) - 4/(-36))
-8
Calculate (4/(-32))/(6/8).
-1/6
Calculate (2 + -1)/(-1) - 10/(-4).
3/2
Evaluate 6/(-16) + 129/24.
5
Calculate (1 + -1)*8/16.
0
What is 10/10*(-2)/1?
-2
Calculate ((-9)/(-18))/(((-21)/(-18))/7).
3
Calculate ((-24)/56)/1 - 64/14.
-5
Evaluate ((-35)/(-7))/(6 - 7).
-5
Evaluate 13/(-5) + (-2)/5 + 6.
3
What is the value of ((-2)/(-6))/(3*2/(-72))?
-4
(196/(-96) - -2)/((-1)/3)
1/8
What is the value of 1/((-2)/(-3))*12/(-27)?
-2/3
What is (-4)/7 + (-1085)/245?
-5
4 + 285/(-70) + 0/(-6)
-1/14
What is the value of (-43)/86*8/(-22)?
2/11
What is (13/117)/(-2 + 1)?
-1/9
What is 6/16*1 - 169/(-104)
|
{
"pile_set_name": "DM Mathematics"
}
|
e y = -1 + o. Solve g = -g + y for g.
4
Suppose -7 + 3 = -3*q - 4*u, 3 = -4*q + 3*u. Let c be ((-16)/(-12))/(4/18). Suppose c*g - 8 - 10 = 0. Solve -g*i = -q*i - 6 for i.
2
Let l be (-110)/(-5)*(2 + 6/(-4)). Suppose 10*s - 5*s = 0. Suppose 0 = u - 3 - s. Solve l = -4*f + u for f.
-2
Let x be ((-4)/(-6))/1*333/74. Solve 0 = b - 0*b + x for b.
-3
Let n(v) = v**3 + 6*v**2 - 7*v + 4. Let r(l) = l**3 + 6*l**2 + 4*l. Let x be r(-4). Let d be -3 - x/4*1. Let h be n(d). Solve -h*m - 25 = -9*m for m.
5
Let g(x) = 2*x**2 - 3*x + 8. Let q be g(0). Suppose -12 - q = -2*f. Solve f = -3*j - 2*j for j.
-2
Suppose -9*z + 6*z + 15 = 0. Suppose -2*s - 8 + 6 = -y, -4*y + z*s + 11 = 0. Solve 0*k + 8 = -y*k for k.
-2
Let u = -25 - -35. Let b(y) = 3*y - 21. Let j be b(u). Let a be ((-6)/8)/(j/(-36)). Solve -7 = 5*k + a for k.
-2
Suppose -l = -j - 1, 4*j = 6*l - 4*l - 2. Solve j = -4*x - x + 10 for x.
2
Let o be 7/21*(6 + 0). Suppose -o*p = -6*p + 12. Solve -b = -p*b + 4 for b.
2
Let z = 18 - 12. Let r be 7/(-77)*-2 - (-4)/(-22). Solve n - z*n = r for n.
0
Let t(i) = -i + 6. Let n(s) = 2*s - 13. Let c(v) = 2*n(v) + 5*t(v). Let a be c(2). Solve -u + 3*u + a = 0 for u.
-1
Let g be 26/169 + (-230)/(-26). Suppose -g = -m - 1. Solve 4*r = -0*r - m for r.
-2
Let h = 382 - 382. Solve 11*p - 5 + 60 = h for p.
-5
Let q = 204 - 110. Suppose -q - 146 = -8*t. Solve -4*h - t = -10 for h.
-5
Let n(s) = -s - 2. Let w be n(-2). Suppose -2*h = 3*z - w*h - 25, 2*h + 63 = 5*z. Solve 4 = -5*g - z for g.
-3
Suppose -o + m = 2, -5*m = -2*o - 8 - 2. Solve 7*y + o = 14 for y.
2
Let m be 10 - (-15)/(4 - 9). Suppose m*j = 5*j + 30. Solve n + j = 4*n for n.
5
Suppose 18 = -3*g + 18. Suppose -2*i = -g*i - 10. Solve -8 = i*a + 7 for a.
-3
Suppose -5*z = -4*b - 3, 4*z + 2 = 5*b - 1. Suppose -g = z - 8. Solve f = g*f + 12 for f.
-3
Suppose 0 = -y - 4*o + 2, -5*y - o = 2*o + 7. Let k(l) = -l**3 - 4*l**2 + 5*l - 1. Let h be k(-5). Let d be (5 + -3)/(h - y). Solve 5*x - d*x - 9 = 0 for x.
3
Let f = 35 + -102. Let k = -64 - f. Solve -k*u + 0*u = -12 for u.
4
Suppose 171*c - 177*c = -60. Solve 0 = -122*t + 120*t + c for t.
5
Suppose -i = 5*i. Let w be (i - 0)*(-2)/8. Suppose 2*f - 2 - 2 = 0. Solve f*x - x = w for x.
0
Suppose -j - 5 = -2*p + 24, 2 = -2*j. Solve -h - 15 = -p for h.
-1
Let b = 41 - 65. Suppose 5*k + 8 = 4*r - 16, -9 = 2*k - r. Let u be (-6)/b - (-1)/k. Solve 0 = -3*g + 15 - u for g.
5
Let h(t) = 4*t - 6. Let d(g) = 5*g - 5. Let f(p) = -5*d(p) + 6*h(p). Let s be f(-8). Let w be (s - -4)*(2 - 1). Solve 2*z + w + 3 = 0 for z.
-2
Let q = -59 - -61. Suppose -4*i + 12 = 4*g, 0 = -2*g - i + q*i. Solve -5*c + g = -19 for c.
4
Suppose -3*x + 135 = 12*x. Suppose 9 = -3*l + x. Solve c = -l*c for c.
0
Suppose -2*l = -3*l + 2. Suppose 56 - 52 = 2*o. Solve -o = x + l for x.
-4
Let d be 3 + -8 + 3 + -4. Let a be (-7 + -5)/(d/4). Solve 3*x = -x + a for x.
2
Let f(m) be the second derivative of -m**3/3 - 7*m**2 + 2*m. Let g be f(-8). Suppose g*n + n = 21. Solve -2*v - n = -1 for v.
-3
Let n(m) = m**3 - 4*m**2 + 2. Suppose 5*j - 3*j = 40. Suppose y - j = -2*z - 2*z, 0 = 2*y - 2*z. Let q be n(y). Solve -c + q*c - 5 = 0 for c.
5
Suppose -4 = -t + 2*h, h + 23 = -10*t + 14*t. Solve t*v - 9*v + 3 = 0 for v.
1
Suppose 0*q - 2*q = -5*x + 98, -4*x - 101 = 3*q. Let l = 41 + q. Solve 2*n = 2 + l for n.
2
Suppose -3*g + 21 = y - 4, -3*y + 27 = 3*g. Let r be -3 - (-5)/((-10)/g). Let v be r/(-4) - (-15)/(-20). Solve v = -0*b + b for b.
1
Let x be 1 + -3*(-16)/12. Suppose x*r = -3*p + 5, -r - 2*r + 19 = 5*p. Suppose -4 + 21 = 4*j + a, -3*j + 17 = p*a. Solve -u - j = 1 for u.
-5
Let m be 12*(0 + (-9)/(-12)). Let q be 7 - m/((-9)/4). Suppose -q = 4*h - 35. Solve -u + h*u = 0 for u.
0
Let v be (-3)/(-12) + 45/12. Suppose -v*n - 42 = -n. Let k = 14 + n. Solve y + k*y = 1 for y.
1
Let g(y) = 3*y. Let b(t) = -4*t - 1. Let n(d) = 2*b(d) + 3*g(d). Let i be n(4). Suppose 7*x - 369 = 28*x - 537. Solve -i*c + 2 + x = 0 for c.
5
Suppose 0 = 3*m + 2*t - 3 - 8, -m - 1 = 3*t. Solve 2*f = -7 + m for f.
-1
Suppose -360 + 45 = -45*a. Solve -a*h - 6 = -5*h for h.
-3
Suppose 2*s - 111 - 49 = 0. Suppose 3*r = -2*r + s. Solve 5*h = -6 + r for h.
2
Let k = 14 + -9. Suppose 4*i = p - 2, -10 = -p - 0*p - 4*i. Suppose -k*u + p = -9. Solve 4 = -u*r + r for r.
-2
Let m be 155/(-20)*(-12)/3. Let d = m + -31. Suppose d = 3*y + 4 - 22. Solve -y*o = -2*o for o.
0
Let o(z) = z**2 + 11*z - 15. Let f be o(-7). Let m = f + 43. Solve 3*k - k = m for k.
0
Let v = -61 - -96. Let x = 38 - v. Solve x*b - 4 = 2*b for b.
4
Let x(q) = -q**3 - 20*q**2 + 43*q - 22. Let c be x(-22). Solve c = d + 3*d + d for d.
0
Let x = -9 + 36. Let s = x - 46. Let m = -13 - s. Solve m = t + 2 for t.
4
Suppose -136 = -29*k + 676. Solve -k*x = -6*x + 66 for x.
-3
Let j = 283 + -250. Solve -37*q = -j*q + 20 for q.
-5
Suppose 3919 - 979 = 42*u. Solve -72*c + u*c = 10 for c.
-5
Let y = 12 + -18. Let q = -24 + 34. Let i = y + q. Solve -12 - 4 = i*h for h.
-4
Suppose -5*d - 7*k + 180 = -8*k, -2*k + 130 = 4*d. Solve 14*w - 35 - d = 0 for w.
5
Suppose -2*z - 4*p = 40, 5*z + 124 = -0*p - 2*p. Let t = z - -26. Suppose -2*g - 2*f - 2 = t, 5*g - 2*f - 40 = 2*f. Solve -n + 5 = g for n.
1
Suppose -2*f + 3*f - 5 = 0. Suppose -5*d = -f*h - 0 + 5, -5*h - d + 17 = 0. Let u be (-4)/(-4*1)*h. Solve -u*m + 8*m - 20 = 0 for m.
4
Suppose -r - 2*r + 27 = 0. Let v be 40/220 + 4/(-22). Suppose -5*a + r*a = v. Solve 2*g - g + 5 = a for g.
-5
Suppose -7*o = -c - 6*o, 0 = 2*c - 3*o. Suppose -10*j + 0*j = c. Solve j*l + 3*l = 0 for l.
0
Let a be 48/6 + 16/(-4). Suppose 5*x = z + 67, 7*x + 2*z = a*x + 35. Solve -2*d = 3 - x for d.
5
Let a be (-8)/(-36) - (-183)/27. Suppose a*n - 2*n = 10. Let o be n/8 + (-1)/4. Solve -3*u + 6 = -o*u for u.
2
Suppose -32*t + 33*t = 8. Solve 3*f = -2 + t for f.
2
Let u be (-5457)/(-119) + 18/(-21). Solve 3*b + 45 - u = 0 for b.
0
Let h(x) = -x**3 - 10*x**2 - 18*x - 14. Let l be h(-8). Suppose l*m + 2 = 8. Let d be 34/10 + (-2)/5. Solve 0*i + d = m*i for i.
1
Suppose -12*f + 40 + 68 = 0. Solve f = 6*v - 3 for v.
2
Let t(z) = -z**2 + 9*z - 12. Let u be t(6). Suppose 3*g - 21 = -u. Solve 2 = -g*v + 7 for v.
1
Let q(j) = 68*j - 671. Let g be q(10). Solve g*c = 5*c for c.
0
Suppose 7*y + 12 = 3*y, 5*m - y - 23 = 0. Let g be 2/5 + m/(-10). Solve 2*o + 0*o = g for o.
0
Let w be 2*(-4)/12 + (-6)/(-9). Solve w = -2*f + 7*f + 10 for f.
-2
Let o(a) = a**2 - 3*a + 1. Let k be o(2). Let q = k - -3. Solve q*z - 8 = 4*z for z.
-4
Let c be -1 + 7/5 - (-760)/100. Solve -5*i - c = -i for i.
-2
Let g = 2984 - 2927. Solve 0 = -6*x + 51 - g for x.
-1
Let c = 2044 + -2043. Solve x = 3 - c for x.
2
Let i be 4 + -1 - (-8)/(-2). Let c be 188/i*(-2)/2. Let f be c/36 + (-2)/9. Solve f*o - 12 = 2*o for o.
4
Let b(v) = 7*v - 2. Let i be b(-4). Let x = -26 - i. Let q be (-7)/(-1) - x - 3. Solve q = -4*u - 10 - 6 for u.
-4
Suppose -10*u - 1435 + 1485 = 0. Solve 11 = -3*b + u for b.
-2
Suppose -l - 3*l + 5*s = -84, 5*l - 105 = 3*s. Solve -l*d + 4 = -22*d for d.
-4
Suppose 5*r + 41 = 4*o, 0*o - 2*r + 34 = 2*o. Suppose 2*m + o = 3*j, 4*j - 5*m = 15 + 6. Suppose b - j = -b. Solve -b = 4*t - 5*t for t.
2
Let p(q) = 18*q + 275. Let j be p(-15). Solve 0 = -j*h - 25 + 10 for h.
-3
Suppose -c = 4*n + 4, 5*n + 6 = c - 8. Let q be 2/17 - (-2 + 60/(-68)). Solve o + c = -q*o for o.
-1
Let k(h) = -2*h**2 + 4*h - 3. Let w be (-2)/((-2 + -1)/3). Let y be k(w). Let s be (2 + y + 1)/(-1). Solve s = 4*q - 0*q + 16 for q.
-4
Let h = 28 - 15. Suppose h = 2*s + 5*t, -s - 7*t + 2*t = -9. Solve 2*w + s = 6*w for w.
1
Let h be ((-4)/(-6))/((-4)/(-12)). Suppose 0*d - h*d = -3*l - 22, 4*d + 5*l = 0. Solve -2*k + d*k = -3 for k.
-1
Let u = -1095 - -1105. Solve -6*y + u*y = 0 for y.
0
Suppose -2*i - 2*v + 23 = 11, -12 = -3*i - 5*v. Let n be -3 - (-1 + 0) - -2. Solve n = -7*c + 4*c + i for c.
3
Suppose 0*j - 3*j = 0. Suppose 2*p + p - 12 = j. Solve o = p*o for o.
0
Suppose 2*s = 5*r + 4, s + 3*s - 5*r - 8 = 0. Suppose 2*c + 5*w - 4 = -15, 2*w + s = -2*c. Suppose t + 2 = c*t. Solve 0 = -u - t*u for u.
0
Let d be 30/45 - 4/6. Let z be (-1)/((3/(-7))/3). Suppose 4*v = z*v - 6. Solve -2*p - v - 4 = d for p.
-3
Let i(x) = 3*x - 7. Let c be i(3). Suppose -2*l - 10 = 0, -r - l = c*l + 10. Solve -p = 4*p + r for p.
-1
Suppose -4*p = -p. Supp
|
{
"pile_set_name": "DM Mathematics"
}
|
/(c/c**(-3)*c) assuming c is positive.
c**(-41/40)
Simplify s**(2/33)/s**(-22/7) assuming s is positive.
s**(740/231)
Simplify ((((w*w/(w**0*w)*w*w*w)/w*w)/w*w)/w)**15/((w/w**2)/w*w*w*(w/w**1)/w) assuming w is positive.
w**46
Simplify p/(p**(-7)/p)*p/(p/(p/(((p*p**(-3/8))/p*p)/p)*p))*(p*p**6)/((p*p*p**(1/13)*p*p)/p) assuming p is positive.
p**(1591/104)
Simplify k**4*k*k**4*((k**(-4)*k)/k)/(k*(k/k**6)/k) assuming k is positive.
k**10
Simplify (g**(-3)*g*g*g**0)**19 assuming g is positive.
g**(-19)
Simplify (m*(m*(m*(m/m**2)/m)/m)/m)/m**(2/11)*(m/m**0)/(m/m**(2/5)*m) assuming m is positive.
m**(-98/55)
Simplify (((r**(-3/4)/r)/r)/r)/r**8*r*r**(1/2)*r**(-3)/r assuming r is positive.
r**(-57/4)
Simplify (x*x**(-1)*x)**(-4/37)/(x**(-1/6)*x**(-1)) assuming x is positive.
x**(235/222)
Simplify (v**0/((v/(v*(v/(v**5*v)*v)/v*v))/v))**(-1/35) assuming v is positive.
v**(3/35)
Simplify b**(4/9)/(b/b**(-4/7))*b**(-5/6)*b**1 assuming b is positive.
b**(-121/126)
Simplify w**(-20)*w*w**4 assuming w is positive.
w**(-15)
Simplify (q*q**0)**(-26)/((q*q**(-8))/q*q*q/((q*q**(3/2))/q)) assuming q is positive.
q**(-37/2)
Simplify a**(1/6)/a*a/(a**(-1/9)/a)*a*((a/(a**(-1/3)*a))/a)/a**(-1/8) assuming a is positive.
a**(125/72)
Simplify (s/(s/((s*s**(-10/9))/s)))**11 assuming s is positive.
s**(-110/9)
Simplify (z**1)**(-43)/((z/(z*z/z**(-2/3)))/(z**(-1)/z*z*z)) assuming z is positive.
z**(-124/3)
Simplify (s**(1/4)/s**(-3/10))**(4/29) assuming s is positive.
s**(11/145)
Simplify ((x/x**1)/x**2)/(x/((x**1*x)/x))**(-2/23) assuming x is positive.
x**(-2)
Simplify (m**(2/5)*m)**(-35)/(m**(-3/2)/m**7) assuming m is positive.
m**(-81/2)
Simplify (h*h*h/((h/(h*h**(-4))*h)/h)*h/(((((h**(3/5)/h*h)/h)/h)/h)/h)*h)**(-38) assuming h is positive.
h**(-836/5)
Simplify (k**(-4/5)/k)/((k/(k/k**(-4/7)))/k)*(k**(-2/5)*k*k)**(3/10) assuming k is positive.
k**(44/175)
Simplify (i/i**(1/2))**(-16)/(i/(((i/((i**1*i)/i))/i)/i))**4 assuming i is positive.
i**(-20)
Simplify ((n**(1/13)/n)/(n**4*n*n))**13 assuming n is positive.
n**(-90)
Simplify (y**6*y*y/(y/(y*y**(-1)*y)*y))**(6/5) assuming y is positive.
y**(42/5)
Simplify ((j*((j*j/(j/j**(4/3))*j)/j*j)/j)/j*j**(2/7))/(j**0*j)**(7/6) assuming j is positive.
j**(61/42)
Simplify ((i/(i*i**(-2/7))*i)/((i/((i/(i**6/i))/i))/i))/(i**(2/7))**(5/12) assuming i is positive.
i**(-23/6)
Simplify (r*r*r/r**(-5))/r*r*r**(-2/65) assuming r is positive.
r**(518/65)
Simplify ((p**1*p*p)/p**4)**42 assuming p is positive.
p**(-42)
Simplify ((s/(s/(s/(s**(-5)/s))))/(s/(s/(s*s/(s*s**(-1/3))))))/(s/((s**(-2/3)*s)/s)*s*s*s**5) assuming s is positive.
s**(-3)
Simplify a**(-2/55)*a**(-10) assuming a is positive.
a**(-552/55)
Simplify (w/(w/w**2))**(-13)/(w**(-1)*w)**4 assuming w is positive.
w**(-26)
Simplify (l**(-8)*l)/((l*(l**4*l)/l)/l)*((l*l**1*l)/l)**(-5) assuming l is positive.
l**(-21)
Simplify (v**(-24))**(16/9) assuming v is positive.
v**(-128/3)
Simplify (c*c**(-5)*c*c*c*c*c)**13 assuming c is positive.
c**13
Simplify (b**(-7)/b*b/(b/(b*b*b**7/b)))/((b/((b*b/b**(1/4))/b))/b*(b**(-3)*b*b)/b) assuming b is positive.
b**(11/4)
Simplify (l*(l*l/(l*l**(-2/33)/l))/l*l*l*l)/(l*l**(-2/19)) assuming l is positive.
l**(2612/627)
Simplify (i*i**16)/((i*i**7)/i) assuming i is positive.
i**10
Simplify ((j/((j*j**(-6))/j))/j**(-2/13))/((j*j/j**(-1/13)*j)/j**(-4/3)) assuming j is positive.
j**(107/39)
Simplify ((u**(4/9)*u)/(u*(u*u/(u*u**3*u*u)*u)/u))/(u**(-2/3)*(u/u**(3/4))/u) assuming u is positive.
u**(211/36)
Simplify (p**(-2/29))**(-1/32) assuming p is positive.
p**(1/464)
Simplify (b**(-6)/b*b**(1/8)/b)**(-12/11) assuming b is positive.
b**(189/22)
Simplify (o**(-2/39)/o**(-16))**(1/10) assuming o is positive.
o**(311/195)
Simplify (f*f**0)**(-2/15)/(f**(-5)/((f**0*f)/f)) assuming f is positive.
f**(73/15)
Simplify u*(u**(11/5)/u)/u*u*u/((u*u*u**(-3/2))/u) assuming u is positive.
u**(37/10)
Simplify ((q*q**(-4)*q)**(-24))**(12/19) assuming q is positive.
q**(576/19)
Simplify (s*s**(-3)*s**1/s)/(s**(-4)*s**(1/10)/s) assuming s is positive.
s**(29/10)
Simplify ((u/(u/(u/u**(-1/4)))*u)**(6/25))**37 assuming u is positive.
u**(999/50)
Simplify ((y**3)**22)**(-2/67) assuming y is positive.
y**(-132/67)
Simplify (f*f**0/f)**(-23)*f/(f/((f/f**(-5))/f*f))*f**(-5/2)/f assuming f is positive.
f**(5/2)
Simplify (h/(h*h**(-2/7)))**(-13)/(((h*h/h**(1/4))/h*h)/h*h)**(-18) assuming h is positive.
h**(389/14)
Simplify ((a*a*a/(a/((a**(-2/25)/a)/a)))/(a**(-3/7)/a))/((a/a**7)/a*a**(1/7)/a) assuming a is positive.
a**(1611/175)
Simplify (z**(-1)*z**(-5))**(-1/3) assuming z is positive.
z**2
Simplify (y/(y*y*y*y**7*y))/y*y*y/(y**2*y)*y*(y**(1/12)*y)/(y*(y*y*y/(y/(y/(y/y**(1/7))))*y*y)/y) assuming y is positive.
y**(-1181/84)
Simplify b**(-17)*b**8 assuming b is positive.
b**(-9)
Simplify (i*((i*(i/i**(-1))/i*i)/i)/i)**39/(((i*i*i*i**2*i)/i)/i)**(-35) assuming i is positive.
i**218
Simplify (d**(-1))**(-7)*(((d/(d**(-4)/d)*d)/d)/d)/d**(-1/3) assuming d is positive.
d**(37/3)
Simplify v/v**14*v/((v/v**4)/v) assuming v is positive.
v**(-8)
Simplify (f**(3/4)*f*f/f**(-2))/(((f/(f*f*f/(f**(5/3)*f)))/f)/f**(-2/9)) assuming f is positive.
f**(175/36)
Simplify (d/d**6*d*(d*(d/(d/(d**(1/3)/d)))/d)/d)**(-2/99) assuming d is positive.
d**(34/297)
Simplify a**(23/2)*(a/(a**(-3/20)/a))/a assuming a is positive.
a**(253/20)
Simplify (x/(x*x*(x/((x/(x*x**(-35)))/x))/x))/x**(1/3) assuming x is positive.
x**(98/3)
Simplify ((t/((((t*t/((((t**(-2/3)/t*t)/t)/t)/t))/t)/t)/t))/(t*t/t**1))**43 assuming t is positive.
t**(-344/3)
Simplify (m**2)**(-1)/(m/m**(-3/8)*m**2) assuming m is positive.
m**(-43/8)
Simplify (c**(-2/9))**(-1/35) assuming c is positive.
c**(2/315)
Simplify (((o/(o/o**5*o))/o)/o*o**(-9)/o)**3 assuming o is positive.
o**(-24)
Simplify (l*l/(l**(8/9)/l*l))/(l*l*l*l/(l**(-23)*l)) assuming l is positive.
l**(-224/9)
Simplify (t/t**0)**(-10) assuming t is positive.
t**(-10)
Simplify (i/i**(-2/7)*i**1)**36 assuming i is positive.
i**(576/7)
Simplify (p/p**(3/2))**(2/5) assuming p is positive.
p**(-1/5)
Simplify (((((j/j**(-1/3))/j)/j)/j)/j*j*j*j**(-3/8)/j)/(j**(-1))**23 assuming j is positive.
j**(503/24)
Simplify (j*j*j**(-5))/(j**(-5)/j)*(j**0)**(2/45) assuming j is positive.
j**3
Simplify ((a/((a**(1/5)*a)/a))/a**1)/(a**(-1))**(-37) assuming a is positive.
a**(-186/5)
Simplify (h*(h/(h*h/(h*h**5)))/h)/(h**(1/5)/h*h)*h**(-2/3)/(h**(-2)*h) assuming h is positive.
h**(77/15)
Simplify (c/(c*c/(c/(c*(c**5/c*c)/c)))*c**(5/2))**(-1/6) assuming c is positive.
c**(5/12)
Simplify (g*((g/(g*g*g/(g*g*g/(g*g**(2/25)*g)*g*g)*g))/g)/g)/g**(-6/19) assuming g is positive.
g**(-363/475)
Simplify (q*q**(-10/3)*q**(-1))**(-3) assuming q is positive.
q**10
Simplify r/(r*r**(-4)*r)*r*r**(6/7) assuming r is positive.
r**(34/7)
Simplify (t**3*t*(((t*t**6*t)/t)/t)/t)/(t*t**(1/4)/t*t*t*t**7) assuming t is positive.
t**(-1/4)
Simplify w**(-2/9)/w**7*(w**4*w*w)/((w*w*w**(2/11))/w*w) assuming w is positive.
w**(-337/99)
Simplify (b**2*b*b)/(b**(3/8)*b*b)*b**(-1/4)*b**3 assuming b is positive.
b**(35/8)
Simplify (v*v**(-2/5))**(-21)*v**(-2/9)*v*v/(v**(2/9)/v) assuming v is positive.
v**(-452/45)
Simplify (d**1)**15/(d**(-1)/(d**(-2/9)*d)) assuming d is positive.
d**(151/9)
Simplify ((l**(-2/5)/l)/((l**(-3/5)/l)/l*l))/(l*l**(-2)*l*l**4) assuming l is positive.
l**(-19/5)
Simplify x**(-2/9)/(x/x**(-2/43)) assuming x is positive.
x**(-491/387)
Simplify (q*q**(-5/3))/(q/(q*q*q**(-5)))*(q*q/(q*q**1))**(-1/18) assuming q is positive.
q**(-14/3)
Simplify (h/h**(-9/7))/(h**(-22)*h) assuming h is positive.
h**(163/7)
Simplify (z**(12/13))**(-5) assuming z is positive.
z**(-60/13)
Simplify (u/(u*u*u**(2/5)))/((u/(u/(u**2/u))*u)/u)*(u/u**(-2/7))**9 assuming u is positive.
u**(321/35)
Simplify (d**23)**(-7/2) assuming d is positive.
d**(-161/2)
Simplify x**18*x**(-8/5)*x assuming x is positive.
x**(87/5)
Simplify (o**(-9)*o)/(o/(o**(-1/35)*o)) assuming o is positive.
o**(-281/35)
Simplify (x*(x/(x*x**(-4)/x*x)*x)/x*x)/(x/(x*x**(2/75))) assuming x is positive.
x**(452/75)
Simplify j**(7/2)*j*j*j/(j*(j/(j/(j**(-9/7)/j))*j)/j*j) assuming j is positive.
j**(95/14)
Simplify ((b**(-1/16)/b)/b*b)/(b**19*b) assuming b is positive.
b**(-337/16)
Simplify ((n*n/((n/(n/(n/n**(2/7)*n*n)*n))/n)*n*n)/n)**(-2/9)*(n/(n**(-2/5)*n))**(4/19
|
{
"pile_set_name": "DM Mathematics"
}
|
*p + f, i + 2 = -4*p. Is i a composite number?
True
Suppose 60 = -p + 6*p. Suppose -5*l - p = -177. Is l a composite number?
True
Let g = 24 - 13. Suppose -3*j - 4*o - 16 = o, o + g = 2*j. Suppose j*y = -5*f + 120, f = 4*y + 2*f - 143. Is y a composite number?
True
Let q(o) = 8*o**3 - 4*o**2 + 6*o - 3. Suppose 0 = -2*z + 3*g - 2*g + 9, 0 = -z - 4*g. Is q(z) a prime number?
False
Let k = 6 + -8. Is k - (-6)/3 - -58 a prime number?
False
Let k be (-2)/9 - 33/(-27). Suppose 2*d = 3 + k. Suppose d*l = 4 + 126. Is l a composite number?
True
Let x = 90 + 4. Is x composite?
True
Let k = -419 + 798. Is k prime?
True
Let n(l) = l**2 - 5*l + 3. Let j(m) = -m**3 - 4*m**2 - 3*m + 4. Let k be j(-3). Let z be n(k). Is ((-39)/6 - z)*-2 a composite number?
False
Let p = 16 - 10. Suppose p*t - 7*t + 93 = 0. Is t prime?
False
Let o(n) be the third derivative of 9*n**4/8 - 13*n**3/6 - 4*n**2. Is o(6) prime?
True
Let z(y) = 3*y + 85 - 2*y - 2*y + y**2. Let w be z(0). Let r = w + -48. Is r a prime number?
True
Let j be 6/(-15) + 189/35. Suppose -2*m - 344 = -p, -2 = 2*m - 4. Suppose -249 - p = -j*i. Is i composite?
True
Suppose 4*p + 5*w = 4*w + 12394, 3*w + 6204 = 2*p. Is p a prime number?
False
Let l(c) be the second derivative of -63*c**5/10 - c**3/3 - c**2/2 - 2*c. Let s be 3/(-3) - 0/4. Is l(s) a prime number?
True
Suppose 0*n + 6 = 2*n. Suppose -h + 1020 = n*h. Suppose 2*d - h = -3*d. Is d composite?
True
Suppose -3*s + 877 = -2*v, -s + 5*v + 1174 = 3*s. Is s a composite number?
True
Suppose -o + 6*o + 25 = 0. Let x(q) = 2*q**2 - 2*q + 6. Let n be x(-6). Is (-2)/(-1) + o + n a prime number?
False
Let m be (-1)/(0 + 3/(-6)). Suppose 0 = m*t - 282 + 56. Is t a composite number?
False
Let x(a) = -a**3 - 3*a**2 - 5*a - 7. Let l be ((-6)/(-7))/((-1)/7). Is x(l) a composite number?
False
Let n(o) = -38*o + 1. Is n(-2) prime?
False
Suppose 0 = -k - 4*k + 5. Let p(l) = 11*l**2 + 0*l**2 - 3*l + l + 27*l**2 + 1. Is p(k) prime?
True
Suppose -3*c + 5*l + 377 = 0, 3*c + 0*c + 2*l - 391 = 0. Suppose 2*j + c = 383. Is j composite?
False
Is (1908/(-8))/(-9)*14 a composite number?
True
Let p = -9 - -30. Let x = -2 + p. Is x a prime number?
True
Suppose 2*k - 280 = -o, 2*o = k + 6*o - 133. Is k prime?
False
Let j(t) = -141*t - 2. Let i be j(-12). Let q = i + -939. Is q a composite number?
False
Let o(b) = -3*b**3 - 2*b**2 - 2*b. Let t be o(-2). Suppose -5*f + 0*f - 5*x = -t, 0 = 3*x + 3. Suppose -15 + 50 = f*a. Is a a prime number?
True
Suppose 0 = -2*i - 0*g - 2*g, 2*g + 12 = 2*i. Let f(d) = d - 2. Let c be f(4). Suppose 174 = 3*v + 3*b, -i*v - 49 = -4*v + c*b. Is v composite?
True
Suppose 3*i = 7*i + 12. Let z be ((-18)/8)/(i/12). Is (-231)/(-9) + (-6)/z a prime number?
False
Let d = 77 + 1022. Is d a composite number?
True
Let u(b) = -b**3 + 30. Let z be u(0). Suppose -7 = -3*x + 2*x. Let g = z - x. Is g prime?
True
Let m be (-2 - 6) + 2/2. Is -67*(m + 3 + 3) prime?
True
Is 6/((-6)/(-3109)) - 0 a composite number?
False
Let z = 47 + 70. Is z/6*1*2 a prime number?
False
Suppose -1958 + 673 = -5*g. Is g composite?
False
Let i(m) = m**2 - 5*m + 22. Is i(12) a prime number?
False
Let v = -11 - -15. Suppose -23 = -s - v*p, -s - 3*s = 4*p - 92. Suppose 2*a + 9 = s. Is a a composite number?
False
Let g be (-2)/(-5) - (-1864)/40. Let m = g + 30. Is m a composite number?
True
Let t(r) = -144*r - 21. Let o be t(-6). Suppose 5*y - o = 172. Is y a prime number?
False
Let x(o) = -o**3 + 9*o**2 + 3*o - 12. Let n be x(9). Suppose 2*t - 3*t = -n. Is t composite?
True
Let q = 1 - -3. Suppose -4*m + 66 = 2*g, 4*g - 158 = m + q*m. Is g a composite number?
False
Is (-372)/10*(-10)/4 prime?
False
Let l be (-38)/(-14) + (-4)/(-14). Let s be ((-4)/(-12))/((-3)/(-9)). Let y = l - s. Is y prime?
True
Let x be (-95)/(-1*(2 - 1)). Suppose 0 = 5*m - 5*j, 0 = 2*m + 2*m + 2*j - 12. Is m*(x/(-2))/(-5) a composite number?
False
Is -1 + (-1)/(3/(-1068)) a prime number?
False
Let m(i) = -i**2 - 3*i - 4. Let c(k) = k + 9. Let a be c(-12). Let w be m(a). Let h(x) = -x**3 - 2*x**2 - 6*x - 3. Is h(w) prime?
True
Is 381/(-2)*6/(-9) a composite number?
False
Let y(j) = 6*j - 3. Let o be (-1)/(-1*1/3). Is y(o) composite?
True
Let l(k) = -5 + 2*k + 4 + 4*k**2 - 8*k. Is l(-4) prime?
False
Let h(d) = -d**3 + 7*d**2 - 11*d + 6. Let j be h(7). Is (-1)/(143/j - -2) a composite number?
False
Suppose 0 = -20*n + 17*n + 4443. Is n prime?
True
Let j(m) = m**3 - 8*m**2 + 5*m + 4. Let c be j(4). Let x = 34 - c. Suppose k - x = -5*n + 28, 274 = 2*k - 4*n. Is k prime?
True
Let m = 1620 + -1109. Is m prime?
False
Suppose 5*d - 1140 - 2455 = 0. Is d a prime number?
True
Let v(y) = -1 - 5*y + y**3 + y + 4 - 7*y**2. Let s be ((-24)/9)/(2/(-6)). Is v(s) a prime number?
False
Let u be 2 + -2 - (1 - 207). Let k = u + -45. Is k prime?
False
Is 2/(-3) + (-5537)/(-3) + -6 a composite number?
True
Let f be (1/2)/(2/(-220)). Let x = 0 - f. Is x composite?
True
Let r be 10 + -7 + (-18)/(-2). Let n = r - 10. Suppose b + 2*s - 3 - n = 0, -5*b = -2*s - 61. Is b a prime number?
True
Suppose 94 + 691 = u. Suppose -n - u = -6*n. Is n composite?
False
Let i(l) = -3*l + 3. Let x(m) = -4*m + 4. Let t(z) = -5*i(z) + 4*x(z). Let u be t(-6). Is (-318)/(-14) - (-2)/u composite?
False
Is 19142/5 - (-6 + 135/25) a composite number?
True
Suppose -4*v + 3 = -4*h - 1, -4*h - 36 = 4*v. Let z = h + 7. Is z/(-3)*57/(-2) a prime number?
True
Let a(w) = -w**3 - 5*w**2 + 12*w - 2. Let g be a(-11). Suppose g = 4*u - 4*h, -220 = -5*u - 2*h + 485. Is u prime?
False
Suppose 4*o - 2463 = o. Is o a prime number?
True
Let y(v) = 3*v + 0 - 4*v + 2. Let s be y(-6). Let i = 111 - s. Is i a composite number?
False
Let l(f) = 6*f**3 - f**2 + 2*f - 2. Let j be l(1). Suppose 16 = j*h - 19. Is h prime?
True
Let n(h) = h**2 - h - 8. Let k be n(8). Let q = k + -15. Suppose q = -c + 2*c. Is c a prime number?
False
Suppose a - 1 = 4*f, -1 = -3*a + 3*f + 11. Suppose a*p - 456 + 131 = 0. Is p prime?
False
Let b(k) = -k**3 + 3*k**2 + 3*k + 4. Let v be b(4). Suppose -30 - 4 = -2*s - 4*m, 4*s - 4*m - 20 = v. Is s a composite number?
True
Suppose -2*v = -9*v + 2779. Is v a composite number?
False
Let r(f) = 47*f - 12. Is r(5) prime?
True
Let v = -1083 + 1701. Suppose 2*s + v = 5*s. Is s prime?
False
Suppose 0 = -3*d + 7*d - 424. Is d/8 - 1/4 a composite number?
False
Let a = -9 - -16. Let p be a/2 + (-2)/(-4). Suppose -p*d + 0*d = -348. Is d a composite number?
True
Suppose m - 2*k - 61 = 2, 3*k + 315 = 5*m. Suppose -3*y - 2*z = -43, -8*y + 3*y + z = -m. Suppose 5*r - y = 92. Is r composite?
True
Let i = 100 - -19. Is i a prime number?
False
Let i(b) = -b**2 + 6*b + 4. Let p be i(4). Let t be (p/(-9))/((-2)/3). Suppose z = -t*z + 111. Is z composite?
False
Let m(x) = 14*x - 39. Is m(16) a composite number?
True
Suppose -3*c + 5*u = -109 - 58, -5*u - 39 = -c. Let z = c - 41. Is z a composite number?
False
Is (-1)/(-2)*6/15*655 prime?
True
Let m = 9 - 6. Let w be 50/15 - 1/m. Is -1*w/(3/(-37)) a prime number?
True
Let t be 1 + (112 - (-2 - -1)). Is (0 + t/15)*5 a prime number?
False
Suppose -11*y + 1533 = -1184. Is y prime?
False
Let o be ((-80)/(-25))/(4/30). Suppose -i + 31 = -o. Is i prime?
False
Let z(d) = d - 1. Let q be z(-2). Is (3/5)/(q/(-15)) a prime number?
True
Is ((-4146)/(-18))/(-1)*(-1 + -20) a prime number?
False
Let r(f) = 2*f**2 - 2*f + 7. Is r(-7) prime?
False
Let s(j) = j**3 - 9*j**2 + 17*j - 16. Is s(11) a prime number?
False
Suppose 4*p = -a + 1176, 2*a - 3*a = p - 297. Is p a prime number?
True
Let c(l) be the third derivative of -3*l**4/8 + l**3/6 + 6*l**2. Is c(-13) composite?
True
Suppose 0 = j + 6*h - h - 22, 3*j - 26 = -5*h. Suppose -j*l = -3*s - 174, 3*l - 261 = -0*l - 3*s. Is l a composite number?
True
Is -1*(-2)/(-6)*-201 a prime number?
True
Let x = -6 - -8. Suppose k + 0*k = -x. Is (-67)/(-6)*k*-3 a composite number?
False
Let o(m) = -m**3 - 2*m**2 + 12. Is o(-7) a prime number?
True
Suppose 2*v = -4*n + 20, -4*n + 4*v = -v - 20. Suppose -3 - 1 = -2*y - 4*d, -5*d + 35 = n*y. Let j = 22 - y. Is j prime?
False
Let r(l) be the second derivative of 13*l**3/3 + 7*l**2/2 - 6*l. Is r(4) prime?
False
Suppose -m + 13056 = 4*p, -4*m = -8 - 8. Is p composite?
True
Let v(a) = 6*a**3 + 4*a**2 + a - 10. Is v(3) composite?
False
Let r be (-565 - 0)*(-30)/50. Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
)/3 - ((-17845)/903 - -20)?
-4/7
(0 - (-4 + 6))*(-3 - (-135)/42)
-3/7
Evaluate -16 - (15/(-3) + (-260)/(-26) + -8).
-13
Calculate (17 - (-3700)/(-160)) + (-36)/(-6).
-1/8
Evaluate (-184)/138 - (-6 + (-1400)/(-147)).
-34/7
((-1384)/156 + 9)/(6*(-30)/(-648))
6/13
(2*4/(-16))/(12/16 + -1)
2
Evaluate (-41)/200 + 596/7450.
-1/8
Evaluate 240/(-90)*42/28.
-4
Evaluate (-5)/(5/(-3)) + ((-2030)/(-28))/(-29).
1/2
(408/170)/((-2)/(-10))
12
What is the value of (-2397)/(-102) - (-1 - 1/(-2))?
24
((260/(-30))/2)/(-13)
1/3
Calculate ((-8)/(-44))/(23/759) - -3.
9
Calculate (-3 - (15/(-30))/((-15)/155)) + 9.
5/6
(-18)/75 - (-14036)/(-1100)
-13
What is the value of -16 - (5 - 2270/110)?
-4/11
(15 - -1 - 8) + 85*3/(-33)
3/11
Evaluate 5 + ((-56)/(-18) - (-79 + 88)).
-8/9
Calculate -28 - 3625/(-100) - 8.
1/4
What is the value of (1388/(-50315))/(-1*6/15)?
2/29
What is the value of 28/(-7) + -1 - 111/(-24)?
-3/8
What is the value of 1407/462 - (-4)/(-88)?
3
What is 4570/(-2625) - ((-8640)/168)/30?
-2/75
Evaluate 1379/28959 - 9/(-7).
4/3
Evaluate ((-513)/8892)/((-16)/52).
3/16
What is (-105)/(-35) - (3/(-39) + 3150/(-117))?
30
What is the value of (43 - 49) + (75/18 - (1 + -3))?
1/6
What is 13/(-3) - ((-418)/(-57))/(-22)?
-4
What is the value of 15/10 + -1*(-17)/(-10)?
-1/5
(9/(-108)*-12)/((-700)/65 - -11)
13/3
Evaluate (26/(19 - 6))/(-1 + -101).
-1/51
Calculate ((-1080)/126)/(75/210).
-24
Evaluate (0 + -1 - (-52)/12)*3/(-7).
-10/7
Calculate -15*(50/(-15) + 4).
-10
What is 18 - (-21)/(-2)*(644/(-42))/(-23)?
11
Calculate 4/(-9)*7/(-24)*18.
7/3
Calculate (4 - (1 - 4)) + (-97)/13.
-6/13
Evaluate ((-22)/(-2))/((6 - 12)/2 + 2).
-11
What is 42/(-15)*((-44)/(-10) - (-21)/35)?
-14
What is (-1443)/(-39) + 1/((-6)/108)?
19
Calculate (4 - (-138)/(-33)) + (-3168)/(-121) + -9.
17
What is the value of (-2 - (5/(-1) + 4))*(-48 + 62)?
-14
Evaluate (-258)/(-4)*(-18)/972 + (-23)/(-276).
-10/9
24/858 + 21/((-2730)/(-20))
2/11
Evaluate ((-5013)/945 - 6/63)*(-42 + 37).
27
What is the value of (-65)/78 + (-59)/(-6)?
9
Calculate (12 + -15)*-1*3/(-42).
-3/14
(-1)/((-12)/(-16))*114/76
-2
Calculate 8/((-36)/(-36)*-2).
-4
Evaluate ((-4)/(-6))/((-82)/9225*-275).
3/11
Calculate ((-12)/378)/((-2587)/234 + 11).
4/7
(-19)/((-1330)/(-40))*(-1 + -13)
8
Calculate ((-16)/6)/(-11 - (-186)/18).
4
What is 318/(-22) - (-2955)/197?
6/11
What is ((-6)/(-8) - -1)/(42/8 + -6)?
-7/3
Evaluate 810/1512 + 0 + 1/(-4).
2/7
(1/(-3))/(9/243)*2/(-21)
6/7
Evaluate 23 + -16 + 23/((-552)/160).
1/3
What is 650/(-100)*24/(-13)?
12
What is (16 - (-1 + 21))/((-3)/(-2) - 2)?
8
What is ((-400)/(-88) + -4)/(-5*(-3)/165)?
6
20/15 + 75/(-90)
1/2
Calculate ((-275)/(-91) + -3)*385/220.
1/26
Calculate -66 - (-1034)/22 - -1.
-18
Calculate (65 - 77 - (-126)/(-30))/((-6)/10).
27
What is (-4945)/(-215) - (-1744)/(-76)?
1/19
What is the value of (((-1)/4)/((-65)/4))/(5/25)?
1/13
Evaluate 7/(-42) + 23*3/198.
2/11
What is the value of (-2513)/718*12/(-14)?
3
What is (216/5796)/((-1)/(-13)) + 20/(-35)?
-2/23
(10 + 0)*(352 + -351)
10
104/(-260) + (-1)/(-5)
-1/5
What is the value of 4*((-9 - (-153)/18) + -5)?
-22
-9 + ((-4784)/(-276))/((-4)/(-3))
4
What is the value of 3 - 5 - -10*(-9)/45?
-4
Evaluate (-102)/45 - (-4 - 68/(-20)).
-5/3
Evaluate 2/156*4*432 + (-174)/1131.
22
What is the value of (1 + -4)*(2670/2268 + (-14)/12)?
-2/63
Calculate (-2)/(((-11)/22)/(-1)).
-4
What is 1715/294 + (-2)/(-3)*-9?
-1/6
What is the value of (-392)/(-126)*(-21 - (-996)/48)?
-7/9
(-184)/(-24) - 15 - -6
-4/3
Evaluate (-34 - (-7938)/231)*1/(-8).
-1/22
Evaluate (10/105)/(76/(-114)).
-1/7
-3 + -6 - -4*(-5 - 24/(-6))
-13
What is the value of 854 - 876 - (-1 + 8)?
-29
Evaluate 1519/196 + (-6)/(-24).
8
What is 20/320*-52 + (-1000)/(-288)?
2/9
Calculate 276/(-6762) - (-4)/196*-243.
-5
Evaluate (-5)/(-2)*((-165)/440 + (-132)/160).
-3
76/22 + 162/297 - (2 - -13)
-11
What is the value of (-6 - (3 + -13)) + 1800/(-912) + -2?
1/38
(18 - 3) + 4032/(-406) + -5
2/29
What is the value of (2340/(-5))/36 - 54/(-4)?
1/2
Evaluate (1610/1127)/((-5)/21).
-6
What is the value of (10/(-4))/(553/158)*-7?
5
255/(-1360)*(-2)/6
1/16
Evaluate (-2)/(-29) + 16832/(-1856).
-9
Calculate (-393)/524 - 61/(-28).
10/7
What is the value of ((-66)/(-9))/(-7*(549/189 + -3))?
11
Calculate 52/(-4) - -3 - (-260)/(-52).
-15
1 - (-9 + (-207)/(-72)*4)
-3/2
(473 - 458)*(-4)/3
-20
What is the value of (-12 + (-1575)/(-132))/((-18)/72)?
3/11
What is -1 + 3 + -20 + (-198)/(-11) + -12?
-12
What is (-3 - (-156)/22) + 3/(-1)?
12/11
Evaluate (-15 - (-399)/28) + (-35)/(-20).
1
What is 7*((-42)/35*5)/(-9 - 5)?
3
What is the value of ((-144)/(-99))/(-8) + 976/44?
22
(10/45)/(-2 - 200/(-45))
1/11
(-5)/(-150)*-1 - (63/(-7))/27
3/10
520/(-104) - (-1)/(-3)*-11
-4/3
Calculate (-10*13/(-520))/1.
1/4
Calculate 2*(35/50 - 1).
-3/5
Calculate 12/20*-1*2030/(-174).
7
(-10)/8 + (1/(-12))/((-305)/(-2745))
-2
What is the value of ((-16)/60)/(3120/(-1150) + (-14)/161)?
2/21
Calculate -3 - -6*(-903)/(-1890).
-2/15
What is (-1)/6*-58 - ((-11)/(-1) - 5)?
11/3
(-500)/700*2/(-15)
2/21
(-17)/3 + (-6)/(-9) + (-85)/(-20)
-3/4
Calculate (-2)/5*2*15/(-36).
1/3
What is the value of (-4)/74 - (-112216)/(-6253)?
-18
(-16 - 867/(-34)) + (-2)/4
9
Calculate (605/(-1331))/(15/(-18)).
6/11
(-1)/2*78/(-117)*-66 + -9
-31
(-103)/154 + 6*69/1932
-5/11
Evaluate (2/(-20) + 158/(-395))*36.
-18
(-83 + 17017/182)*(-1 - (-1)/(-3))
-14
What is (17200/1280 - 2*8) + 5/2?
-1/16
What is ((-3)/9)/((-237)/(-632) + (-242)/432)?
9/5
What is the value of (28/(-8) - -4)*4/13?
2/13
Calculate 126/(-9) + (-78)/(-180)*33.
3/10
Evaluate (105/(-70))/((-3)/(-10)).
-5
(-820)/504 - (-101)/1818
-11/7
Calculate 204/85*(-120)/(-18).
16
What is (3/(-6))/((-24)/(-192)) + (-90)/(-22)?
1/11
Calculate ((-6 + 2)/2 - 3) + 23/5.
-2/5
What is 3/(-2) + (-771)/(-514)?
0
What is the value of (-452)/330 + 0 + 28/21?
-2/55
What is (-28)/63*6/16 - (-136)/10608?
-2/13
(-4)/11 + 28160/(-7744)
-4
Evaluate (-1 + 0)*((-6634)/535 + (-24)/(-10)).
10
Evaluate 12/(-360)*-10 - ((-580)/(-345))/4.
-2/23
What is the value of 0 + -1 + -18 - (-7 - 1)?
-11
Evaluate (-1)/(((-1353)/(-627))/41).
-19
What is (0 - 1/(-4)) + 2535/(-6760)?
-1/8
Calculate 3 + 24/4 + (-702)/72.
-3/4
(0 - 1)*((-55)/30)/((-13)/(-78))
11
Calculate (-106)/(-20) + 1 + ((-360)/10)/6.
3/10
Calculate (29*-3)/((-41 - 37)/26).
29
Evaluate (-770)/(-462)*(82/140 - (-4)/(-8)).
1/7
Evaluate 22 + 9 + -15 + 13.
29
What is the value of 13 - 407/22 - (-27)/(-6)?
-10
Calculate (232/60 + (-8)/(-60))*1.
4
What is the value of ((-36)/(-90))/((-35)/(-875))?
10
Evaluate ((-378)/(-84) - 7)*(-1 - 14/(-10)).
-1
Calculate -7*2 + 6478/474.
-1/3
What is (-18)/380 + 136/1360?
1/19
What is (-2 + 74)*19/684*-12?
-24
What is the value of ((-44)/13)/((-8299)/(-559) + -15)?
22
Calculate (2 - (-81)/(-36))/(391/204).
-3/23
Calculate 4*(-531)/306 - (-2 - -30)/(-4).
1/17
What is 2/(4/7)*((44 - 55) + 7)?
-14
Calculate (-16)/12 + (-1400)/120.
-13
What is ((-3)/(-4)*-1)/((-20)/(30400/114))?
10
What is (-11 - -7)*(200/(-96) - (-1)/3)?
7
(-915)/65 - (-20)/260
-14
What is the value of (188/(-8) - -26)*(-16)/6?
-20/3
What is 15*(-15)/(-180)*(-1 + 4 + 1)?
5
((-624)/64)/(108/(-288))
26
Evaluate 42/(-189) + 3136/(-144).
-22
What is (18792/(-1740))/((-9)/(-15))?
-18
13 + (-1098 + 6)/39
-15
Evaluate ((-34)/1870)/(14/(-140)).
2/11
What is the value of ((-468)/(-18) - -13)/((-3)/(-2)*-2)?
-13
1*(-3)/(-6)*(86 + -104)
-9
Calculate (-7)/(-2) + (45954/(-12))/(-111).
38
What is the value of (4/(-14) + (-3)/63)/((-68)/(-72))?
-6/17
Calculate 195/(-260) + (-38)/(-8) + 5/(-1).
-1
Evaluate (3 + -25)/(-334 - -332).
11
Evaluate (-32)/(-55) + 690/(-3795).
2/5
-1 + ((-70)/90)/(-1)
-2/9
What is the value of (28/(-3))/(-5*((-18)/135 - 0))?
-14
Evaluate (108/486)/((-26)/(-18)).
2/13
Calculate 61/30 - 1 - 511/(-438).
11/5
135/(-112) + 1/(176/11)
-8/7
What is (135/90 + -7*1/6)*0?
0
(-220)/22 - 114/(36/(-6))
9
14*(-7)/152 - (4 + 1776/(-456))
-3/4
Evaluate (98/210)/(1 - 8/6).
-7/5
16/9*(-5886)/654
-16
33/(-22) + 406/308
-2/11
Evaluate ((-3192)/190)/(52/65).
-21
(-3)/((-270)/1068) + -12
-2/15
Calculate (113/6 - 1) + -18.
-1/6
What is (17 - (-22 + 35))/68?
1/17
Evaluate (-8 + 10)*((-56)/(-192))/((-4)/16).
-7/3
What is the value of 9 - ((-548114)/(-1292))/47?
-1/38
What is the value of 3/35*188/(-141)*(-5)/
|
{
"pile_set_name": "DM Mathematics"
}
|
6*w**2
Let r(p) be the second derivative of p**4/6 + p**3/3 + p**2/2 + 2625*p + 2. Let j(q) = 1. Calculate -2*j(b) - r(b).
-2*b**2 - 2*b - 3
Let g(a) = 14*a - 5. Let b = 89 + 34. Let u(n) = n - 68 + b - 56. What is -g(t) + 5*u(t)?
-9*t
Let o = 7 - 15. Let x be ((-15)/20)/((-1)/8*2). Let n(b) = 5*b - 1. Let t(k) = -2*k - 6*k + 22*k - 2 + 0*k. Give o*n(u) + x*t(u).
2*u + 2
Let q(g) = 9*g**3 + 12*g**2 + 5*g - 324. Let m(h) = -2*h**3 - 3*h**2 - h + 2. Give -5*m(a) - q(a).
a**3 + 3*a**2 + 314
Let h(d) = 74*d**2 - 287*d - 35. Let b(a) = -23*a**2 + 96*a + 11. Calculate 19*b(q) + 6*h(q).
7*q**2 + 102*q - 1
Let k(m) = 77*m - 4. Let r(c) = 64*c - 6. Let j(q) = -2*k(q) + 3*r(q). Let b(h) = -15*h + 4. Determine -12*b(u) - 5*j(u).
-10*u + 2
Let n(h) = -6*h - 6. Let i(r) be the third derivative of -7*r**4/24 - 5*r**3/6 - 4*r**2 + r + 496. Calculate -4*i(u) + 5*n(u).
-2*u - 10
Let f = 4 + -3. Let z(l) be the second derivative of l**4/12 + l**2/2 + 8*l - 39. Let k(t) = -7*t**2 + 3*t - 4. What is f*k(c) + 5*z(c)?
-2*c**2 + 3*c + 1
Let u(l) be the first derivative of l**4/4 + 4*l - 3991. Let i(s) = 4*s**3 - s**2 + 21. Let g = -4 - -6. What is g*i(c) - 11*u(c)?
-3*c**3 - 2*c**2 - 2
Let a(t) = 2*t**3 - 357*t**2 - 2. Let f(y) = -4*y**3 + 14*y**2 + y + 1. Give -a(v) - 2*f(v).
6*v**3 + 329*v**2 - 2*v
Let n(p) = -p - 2*p + 2*p + 565*p**2 - 296*p**2 + 1 - 270*p**2. Let c(k) = -4*k**3 - 3*k**2 - 3*k - 8. What is -c(w) + 3*n(w)?
4*w**3 + 11
Let z(i) = -6*i**3 + 9*i**2 + i. Let u(b) = -24*b**3 + 37*b**2 + 5*b + 3. What is -2*u(w) + 9*z(w)?
-6*w**3 + 7*w**2 - w - 6
Let y(k) = -2*k**3 + 135*k**2 + 5*k + 21. Let z(s) = 5*s**3 - 406*s**2 - 14*s - 58. Calculate 11*y(v) + 4*z(v).
-2*v**3 - 139*v**2 - v - 1
Let k(g) = -240*g**2 - 2*g - 13. Let z(f) = -120*f**2 - f - 7. Calculate 5*k(d) - 9*z(d).
-120*d**2 - d - 2
Let r(b) = -1553*b**2 - 4*b + 10. Let f(v) = -35720*v**2 - 94*v + 235. Calculate 4*f(x) - 94*r(x).
3102*x**2
Let u(l) = -31*l**2 + 5. Let a(c) = -1147*c**2 + 186. Suppose 5*o + 4*k - 930 = 0, -372 = -2*o + 131*k - 136*k. Determine o*u(f) - 5*a(f).
-31*f**2
Let p(m) = m**2 + 5*m + 5. Suppose 0 = -2*v - v - 4*z - 7, -2*z = -4. Let d(g) = -181*g**2 + 4*g + 14*g**2 + 167*g**2 + g**2 + 4. What is v*d(h) + 4*p(h)?
-h**2
Suppose 0 = -32*u + 35*u - 33. Let q(v) be the first derivative of 2*v**2 - 4*v - 1343. Let y(j) = j**2 + 11*j - 11. Determine u*q(s) - 4*y(s).
-4*s**2
Let q(k) = -k**3 - k**2 - k. Let t(a) = 6*a**3 + 9*a**2 + 4*a. Let b be 5 + -17 + 5 + 11. Determine b*q(j) + t(j).
2*j**3 + 5*j**2
Let z(p) = 17*p**2 + 85*p + 5. Let h be z(-5). Let f(g) be the third derivative of 17*g**6/120 - 5*g**2. Let o(c) = 162*c**3. Give h*o(i) - 48*f(i).
-6*i**3
Let y(l) = 7*l - 1. Let n(g) be the second derivative of g**3/2 + 26*g - 10. Let w be ((-1)/(-2))/(1/(-4)). Let p = w + -3. What is p*n(v) + 2*y(v)?
-v - 2
Suppose 7 + 1 = w. Let s(q) = 4*q + 2. Let a(j) = j + 13. Let r(n) = 36*n + 45*n - 11 - 83*n. Let u(b) = 4*a(b) + 5*r(b). What is w*s(k) + 5*u(k)?
2*k + 1
Let y(t) = -78*t - 4. Let c(a) = -5*a + 1. What is c(f) - y(f)?
73*f + 5
Let i be (-21*(-16)/(-48))/7. Let t(y) = -y**3 - y**2 + 1. Let q(m) = 2*m**3 + 6*m**2 + m - 4. Determine i*q(c) - 6*t(c).
4*c**3 - c - 2
Let v(s) = -5381*s**3 + 12*s**2 - 6. Let z(r) = -82221678*r**3 + 183362*r**2 - 91681. What is 91681*v(q) - 6*z(q)?
-5393*q**3
Let a(t) = 34 + 30 - 131 + 37 + 31. Let q(h) = 25*h**2 - 3. Give -3*a(s) - q(s).
-25*s**2
Let p(f) = -11*f**3 + 7*f**2 + 23*f + 24. Let v(d) = 12*d**3 - 6*d**2 - 21*d - 20. Give 5*p(x) + 6*v(x).
17*x**3 - x**2 - 11*x
Let r(p) = -2*p**2 - 84*p + 570. Let o be r(-48). Let f(k) = 24*k + 7. Let a(z) = 25*z + 8. Give o*f(c) + 5*a(c).
-19*c - 2
Let c(t) = -5*t**3 + 4*t**2 + 3*t - 16. Let h(w) = -w**3 + w**2 + 2*w - 5. Determine c(s) - 2*h(s).
-3*s**3 + 2*s**2 - s - 6
Let w(m) = 106*m**2. Let b(d) = -91*d**2 - 10*d - 10. Let f(l) = -5777*l**2 - 636*l - 636. Let i(t) = -318*b(t) + 5*f(t). Give 5*i(o) - 2*w(o).
53*o**2
Let a(v) = -80*v - 4340. Let n(c) = 11*c + 620. Calculate -2*a(p) - 15*n(p).
-5*p - 620
Let s(h) = -6*h**3 - 12*h**2. Let n = -1198 - -1322. Let j = 184 + -121. Let c(q) = -q**3 + n - q**2 - 61 - j. What is -12*c(b) + s(b)?
6*b**3
Let q(y) = y**3 - 2*y**2 + 2. Let j(d) = -d**3 - 2*d**2 - d. Let v(l) = 12*l**3 + 17*l**2 + 10*l + 3. Let t(r) = 10*j(r) + v(r). Give 10*q(s) - 6*t(s).
-2*s**3 - 2*s**2 + 2
Let l(w) = -11*w**2 + 5*w - 7. Let p = -11 + 11. Suppose -2*u - 6 + 20 = p. Suppose -25 = -2*x + u*x. Let t(h) = -5*h**2 + 2*h - 3. What is x*t(s) + 2*l(s)?
3*s**2 + 1
Let k(g) = -20*g + 39. Let u(i) = -11*i + 27. Calculate -2*k(o) + 5*u(o).
-15*o + 57
Let l(x) be the first derivative of x**4/2 - x**3 - 3*x**2 - 1392. Let n(d) = -2*d**3 + 2*d**2 + 6*d. Calculate 2*l(m) + 3*n(m).
-2*m**3 + 6*m
Let o(u) = 23*u - 14. Let s(g) = 2*g**2 - 4*g + 0 + 4*g**2 + 1 - 4*g**2. Let m be s(4). Let k(n) = 8*n - 5. What is m*k(y) - 6*o(y)?
-2*y - 1
Let f(m) = -215*m**3 + 18*m**2 + 8*m + 7. Let q(b) = 2*b**3 - 3*b**2 - 1. Determine f(r) + 6*q(r).
-203*r**3 + 8*r + 1
Let b(m) = m. Let t(k) be the second derivative of -2*k**3/3 - k. Let r be -1 - -14 - (2 - (6 + 1)). Let j = r + -10. What is j*b(h) + t(h)?
4*h
Let y(b) = 5*b**2 + 3*b - 1. Let u(v) = -14*v**2 - 10*v + 4. Suppose -16*g + 17*g - 3*w = -13, 5*w = g + 23. Calculate g*u(n) + 7*y(n).
7*n**2 + n + 1
Let v(n) = -25*n - 1. Let c(f) be the second derivative of -25*f**3/3 - f**2 - 66*f + 7. Give 2*c(p) - 5*v(p).
25*p + 1
Let j(a) = -53*a + 5. Let u = -9457 + 9452. Let m(c) = 54*c - 6. Calculate u*m(f) - 6*j(f).
48*f
Let o(z) = -2*z - 4. Let q(k) be the second derivative of k**2/2 + 865*k. Calculate -o(y) - 2*q(y).
2*y + 2
Let o(v) = -45*v - 34. Let i(s) = -3*s - 3. What is 4*i(x) + o(x)?
-57*x - 46
Let y(r) = 10*r**3 + 117*r**2 - 8*r + 14. Let f(b) = b**3 - 2*b**2 - b + 1. Determine 11*f(h) - y(h).
h**3 - 139*h**2 - 3*h - 3
Let z(w) = 3*w**3 + 11*w**2 - 5*w - 10. Let l(y) = -y**3 - 5*y**2 + 3*y + 4. Determine -5*l(h) - 2*z(h).
-h**3 + 3*h**2 - 5*h
Let b(x) = -41*x**2 - 3*x + 5. Let c(n) = -3*n**2 + 1. Let k(d) = -3*b(d) + 24*c(d). Let a(i) = -25*i**2 - 5*i - 5. Give -9*a(p) - 5*k(p).
-30*p**2
Let o(b) = 5690*b**2 - 40*b + 7. Let p(y) = -2845*y**2 + 16*y - 3. What is 2*o(t) + 5*p(t)?
-2845*t**2 - 1
Let m(f) = 2. Let l(s) = -s + 1. Let p(q) = 5*q + 22. Let t be p(-12). Let k = 49 + t. Suppose -o - 3*x - 6 + k = 0, 2*o + 3*x = 4. Give o*m(b) + l(b).
-b - 1
Suppose -w = n, 0*w - 6 = 5*n - w. Let q(k) = 3*k**3 + 3*k + 6. Let x(b) = b**3 + 1. Let y(d) = 2*d**3 - 2*d**2 + 4*d - 10. Let t be y(2). Give n*q(z) + t*x(z).
3*z**3 - 3*z
Let g(y) = -y**2 + 5*y - 1. Let w(o) = 698*o**2 + 25*o - 5. Determine 5*g(i) - w(i).
-703*i**2
Let u(r) = -24*r**2 - 9*r + 4. Let h(l) = -12*l**2 - 4*l + 2. Suppose -256 + 334 = 26*f. Give f*u(k) - 7*h(k).
12*k**2 + k - 2
Let r(s) = -110*s + 727. Let l(t) = -238*t + 1453. Calculate -6*l(d) + 13*r(d).
-2*d + 733
Let q(d) = d**2 - d - 3. Let g(j) = j**2 - j. Let v(s) = 1 - 228*s + 231*s + 6. Let o be v(0). Suppose a = -o*a - 8. What is a*q(h) + 3*g(h)?
2*h**2 - 2*h + 3
Let v(b) = 631*b + 21. Let c(o) = -3*o - 4. Calculate -3*c(l) - v(l).
-622*l - 9
Let l = 5635 - -4469. Let w(t) = 10098*t + 9 + 1 - l*t. Let x(c) = c. Let z(b) = -2*b - 3. Let m(d) = -4*x(d) - z(d). Calculate -7*m(o) + 2*w(o).
2*o - 1
Let g(q) be the first derivative of -3*q**4 - 2*q**3 + 3*q**2/2 - 6*q + 3551. Let a(s) = 13*s**3 + 7*s**2 - 3*s + 7. What is -6*a(d) - 7*g(d)?
6*d**3 - 3*d
Let j(d) = 26*d**2 + 20*d + 5. Let c(a) = 2*a + 2. What is -3*c(z) + j(z)?
26*z**2 + 14*z - 1
Let v(y) = 13*y**3 + 8*y**2 + 3. Let p(l) = -12*l**3 - 6*l**2 - 2. Calculate -4*p(o) - 3*v(o).
9*o**3 - 1
Let q(k) = 9*k + 4. Let t(n) = -136*n - 53. Let p(w) = 2155*w + 840. Let u(r) = -6*p(r) - 95*t(r). Give 3*q(m) + 2*u(m).
7*m + 2
Let k(w) = w - 9. Let o(s) = -144*s + 99. Calculate -7*k(z) - o(z).
137*z - 36
Let r(s) = 1. Suppose 2821 = -5*t + 2761. Let v(x) = 48*x - 12. Determine t*r(k) - v(k).
-48*k
Let q(d) = -d**2. Suppose -13*a + 8*a - t = 5, 0 = -a - 3*t - 1. Let u(j) = 6*j**2 - 2*j + 3. Give a*u(k) - 4*q(k).
-2*k**2 + 2*k - 3
Let r(b) = 34*b - 2. Let s(m) = -170*m + 11. Determine -12*r(v) - 3*s(v).
102*v - 9
Suppose 0 = 5*k - 15, 2*q - 642*k + 639*k + 7 = 0. Let b(t) = 1. Let g(n)
|
{
"pile_set_name": "DM Mathematics"
}
|
implify ((g/(g*g**(-1/3)*g)*g)**(-11)/(g**1/(g*g**6)))**20 assuming g is positive.
g**(140/3)
Simplify (k**(-38)*k**(5/6))**(-2/155) assuming k is positive.
k**(223/465)
Simplify ((n**(2/5)*n)/n)**24*(n**(-1)/n)/n**(-2/7) assuming n is positive.
n**(276/35)
Simplify (t**(2/9))**12/(t**6)**(-18) assuming t is positive.
t**(332/3)
Simplify (f/f**(-4/13))/f*f*((f/f**(-2/9))/f*f*f)/f*f**7*(f*f*f**13*f*f*f)/f assuming f is positive.
f**(3104/117)
Simplify (f**(-1/16)*f)**41*f**(2/19)*f*f**(6/17) assuming f is positive.
f**(206181/5168)
Simplify (((o*o**(-6/11)*o*o)/((o**(-3/7)/o)/o))/(o/(o/(o*o**5))*o*o**(-2)))**(13/2) assuming o is positive.
o**(-117/154)
Simplify (((b**(-1))**(-16))**(-1/12))**(-17) assuming b is positive.
b**(68/3)
Simplify (((f*f*f/(f*(f*f*f/f**(-10/7)*f*f)/f))/(f/(f*f**(-5))))**(3/11))**43 assuming f is positive.
f**(-7611/77)
Simplify (q**(11/2)*q**(-16))/(q/q**(-7))**3 assuming q is positive.
q**(-69/2)
Simplify (g/g**(-28)*g**3)/(g*g**(2/29)/g*g/(g**(-29)*g)) assuming g is positive.
g**(85/29)
Simplify (n**(4/9)/n)**(-5)*(n/n**(-1/7))**(1/10) assuming n is positive.
n**(911/315)
Simplify ((a/(a/(a*a/a**(1/11)*a)))/a**(-11))/((a**(-19)/a)/(a/a**(-8/9))) assuming a is positive.
a**(3544/99)
Simplify (i**27*i/(((((i/(i*(i*i**18)/i))/i)/i)/i)/i*i))**(-8/15) assuming i is positive.
i**(-392/15)
Simplify (p**28*p*(p/p**(-26))/p)**(1/39) assuming p is positive.
p**(55/39)
Simplify ((y**1/y*y)/y)/(y*(y*y/y**(-5))/y*y)*((y*y/(y/y**(1/7)))/y)**(2/9) assuming y is positive.
y**(-502/63)
Simplify ((v**(-11)*v)**(-47))**(-21) assuming v is positive.
v**(-9870)
Simplify ((z**15*z)/z*z)**29*z**(-3/5)*z/((z*z**(10/3)*z)/z) assuming z is positive.
z**(6901/15)
Simplify ((x/(x**13*x))/((x**(1/7)*x)/x))/((x/x**(-2/15))/x**(-3/13)) assuming x is positive.
x**(-19802/1365)
Simplify (y**20*y**9)/(y**(-26)/y*y**(1/5)) assuming y is positive.
y**(279/5)
Simplify ((r**(-2/7))**(-3/14))**(-10/7) assuming r is positive.
r**(-30/343)
Simplify k**(-16)/k**(-1/5)*k**12/(k**(2/9)/k) assuming k is positive.
k**(-136/45)
Simplify ((l/((l*l*l*l/((l**(-2)/l)/l))/l)*l)**(2/65)/((l/(l*l/(l*l**7/l)))/(l**3/l)))**6 assuming l is positive.
l**(-324/13)
Simplify (y*y**(-2/29)*y)**9*y**(-1/17)/(y/y**(-2/33)) assuming y is positive.
y**(264532/16269)
Simplify ((z/(z*z*z*z*(z*z**6)/z*z))/z)/(z*z**(-19))*((z*z**(-4/5)*z)/z)/(z*z**(-12/7)) assuming z is positive.
z**(277/35)
Simplify d**(-4/19)/(d/(d*d**(1/4)))*(d/d**(-3/5))/(d**(1/30)/d) assuming d is positive.
d**(2971/1140)
Simplify (x**(-12))**32/((x*x*x**(-7/5)*x)/x)**34 assuming x is positive.
x**(-2022/5)
Simplify ((((t/t**(-1/9)*t)/t)**(1/21))**(4/7))**(-28) assuming t is positive.
t**(-160/189)
Simplify ((c/(c**(-2/7)*c))**(-37)*(c*c/(c*c**(-2/5)/c))**(-6))**(-2/9) assuming c is positive.
c**(1748/315)
Simplify (v**(-1/2))**(1/13)*(v**(-2/13)/v)/(v/(v**(2/15)*v)) assuming v is positive.
v**(-413/390)
Simplify ((w/((w*w**(-6))/w))/w**(-1/5)*(w*w**(-5/2))/(w/(w**(9/5)*w)*w))**(2/3) assuming w is positive.
w**(13/3)
Simplify b**10*((b**(2/59)/b*b)/b*b)/b*(b**0)**(-40) assuming b is positive.
b**(533/59)
Simplify (g**(2/11)*g*g**(-22))/((g*(g*g**(-1/22))/g)/g**(-8/9)) assuming g is positive.
g**(-4487/198)
Simplify (u**(-30)/u**22)/(u*u**(-24)*u*u**(21/8)) assuming u is positive.
u**(-261/8)
Simplify (h**(-3/7))**(-12/17)/(h**7*((h**(1/2)/h)/h*h)/h) assuming h is positive.
h**(-1237/238)
Simplify x**(-13)*x**(-21)*(x*x*x*x/(x**(-4)/x)*x)/(x*x/x**(-3/7)*x) assuming x is positive.
x**(-192/7)
Simplify (i**(8/5)/i**(2/7))/(i**(-18/5)/i*i)**(-6/11) assuming i is positive.
i**(-50/77)
Simplify ((b/b**(1/4))**(1/5)*(b*b/b**(1/7))/(b/(b*b/b**2)))**(3/19) assuming b is positive.
b**(423/2660)
Simplify (p**9/(p**(-2/3)*p*p*p))/(p**(-1/51)/p)**(1/3) assuming p is positive.
p**(1072/153)
Simplify ((g/((g*(g/g**(2/9))/g)/g))/(g*g*g*g*(g/g**18)/g))/((g*(g**(-4)/g)/g)/g**(-1/14)) assuming g is positive.
g**(2539/126)
Simplify (w*w**(-22)*w*w*w*((w*w*w**(-5/9)/w*w*w)/w)/w*w)/((w/w**9)/w*w**(4/11)/w) assuming w is positive.
w**(-685/99)
Simplify o**(-12)*o**(-8)*(((o/(o**4/o))/o)/o)/(o*o*o/((o*o**(-10/9)*o*o)/o)) assuming o is positive.
o**(-235/9)
Simplify ((t/(t*(t/(t/t**(-6)))/t))/t**(-6)*((t**6*t)/t)/(t**(-6)/t))**19 assuming t is positive.
t**494
Simplify n*n/(n**(-3/4)/n)*n**(-10)*n*(n/((n/n**8)/n)*n)/n**(-5/2) assuming n is positive.
n**(29/4)
Simplify (((c*c**7/c)/c**6)/(c*c*c**1*c)**(19/4))**(5/19) assuming c is positive.
c**(-90/19)
Simplify (b/((b*b**9*b)/b)*b**14)/(b**(-11))**(1/25) assuming b is positive.
b**(136/25)
Simplify (c**(-3/2)/c)**(-22)/(c*c*c*c**3*c)**(4/11) assuming c is positive.
c**(577/11)
Simplify (((b/b**9*b)/b)/b)**(2/29)/(b**(-2))**41 assuming b is positive.
b**(2360/29)
Simplify ((r**(-11)/r*r)/(r**(6/7)*r))/(r*r*r*r/r**(-5)*r*r*r**(-4/5)) assuming r is positive.
r**(-807/35)
Simplify (v**(-1/3))**(-29)*(v/(v/v**1))/v**(-1) assuming v is positive.
v**(35/3)
Simplify (((p/p**0*p)/(p*p**(-3/2)))/(p/(p*p/(p*p*p*p/((((((p/p**(2/15))/p)/p)/p*p)/p)/p)*p*p*p*p)*p)*p*p**(-11)))**(2/21) assuming p is positive.
p**(101/315)
Simplify (k*(k/(k*k**(2/7)))/k*k)/(k*k*k**(-11)*k*k)*(k*(k*k**1*k*k)/k)**26 assuming k is positive.
k**(782/7)
Simplify ((k**9*k*k*k**4*k)/((k/k**(-2))/k**(-8)))**(33/5) assuming k is positive.
k**33
Simplify ((k/k**4)/k**(4/7))/((k/(k/((k*k**(-9))/k)))/k**(-10)) assuming k is positive.
k**(-32/7)
Simplify z/((z**17/z)/z)*z**(2/13)*z*z*(z*z**(-1/3))**(-1) assuming z is positive.
z**(-488/39)
Simplify (g/(g*g/(g/(g**3*g)))*g)**5*(g*g/(g/g**(-7)))/(g**(-9)*g) assuming g is positive.
g**(-13)
Simplify (a**14*a**6)/(((a**(2/3)*a*a)/a)/((a/a**(-1/13))/a)) assuming a is positive.
a**(718/39)
Simplify (((j*j**7)/j**(-7))**(2/111))**40 assuming j is positive.
j**(400/37)
Simplify t**(-15)/t*t**4*t**(-3/4)/(t*t**(-4/5)) assuming t is positive.
t**(-259/20)
Simplify a*a*(a*a/((a/(a/(a/(a*a**(-7/2)))))/a))/a*a*a*a*a/(a*a**19)*a**(-24)/(a*a/((a*a**(4/11))/a)) assuming a is positive.
a**(-905/22)
Simplify (a/a**0*a*a)**4*a*a**5/a*(a*a**(-2/43)*a)/a*a assuming a is positive.
a**(815/43)
Simplify (y**0*y**(-21)/y)/(y**(7/6)*y*y**(4/5)) assuming y is positive.
y**(-749/30)
Simplify ((p*p*p**(-1/2)*p)/p*p)**(3/14)/(p**(-5/3))**(-2/9) assuming p is positive.
p**(125/756)
Simplify (v*v*v**(-4)*v*(v*v/(v*v/v**2)*v)/v*(v*v**(1/6)*v*v)/(v*v**(-2/3)))**(16/3) assuming v is positive.
v**(184/9)
Simplify ((l**4*l)/l*l*l*l*l*l**8)**(-2) assuming l is positive.
l**(-32)
Simplify (p**(-6/7))**(-2/79)*p**(-33)*p**(-9) assuming p is positive.
p**(-23214/553)
Simplify ((x**(-2/11))**31*(x*x/(x/(x*(x*x/x**2)/x)))**5)**(-7) assuming x is positive.
x**(49/11)
Simplify ((y*(y*(y**(2/5)/y)/y*y*y*y*y)/y)**31*y*y**2*y/(y*y*y**(-2)*y)*y)**40 assuming y is positive.
y**4376
Simplify (((((z**(-2)*z)/z)/z)**(-9))**30)**(-26) assuming z is positive.
z**(-21060)
Simplify (u**(4/7)*(u/(u*u**(-6/7)))/u*u)/(u*u/((u/(u**(-1)/u))/u)*u**(-4/5)/u) assuming u is positive.
u**(113/35)
Simplify (u**(2/73))**(-3)*u**(-2/19)/u**(-1) assuming u is positive.
u**(1127/1387)
Simplify (f/(f*f**(-3/16)*f))/f**(-25)*f**(-8)*f**(-5/6) assuming f is positive.
f**(737/48)
Simplify (g**3*g*g/g**13)/(g*g*g**(-9)/g*g*g/g**(1/3)) assuming g is positive.
g**(-5/3)
Simplify ((n*n**14/n)/n*n**(-19))/(n/(n**(-1/9)/n))**34 assuming n is positive.
n**(-700/9)
Simplify ((o*o/o**1)/(o*o**(-1/20)*o*o))**(10/9) assuming o is positive.
o**(-13/6)
Simplify (((k**(-1/4)/k)/k**(-1/4))**9)**(-2/57) assuming k is positive.
k**(6/19)
Simplify v**(-6)*v**(1/45)/v*((v*v**(-1/3))/v)**(5/11) assuming v is positive.
v**(-3529/495)
Simplify (t/t**(-1/10)*t*t*t*t)**(-27)/(t/t**16*(t/t**(5/6))/t) assuming t is positive.
t**(-1828/15)
Simplify ((k**(1/4)*(k*(k/(k/(k/((k/k**0)/k)))*k)/k)/k)**40)**(-35) assuming k is positive.
k**(-1750)
Simplify ((l**(-2)*l**7)/(l*l**(-9)*l**5))**(-24) assuming l is positive.
l**(-192)
Simplify ((o**(-2/5))**(1/22)/(o*o**(1/2))**(10/9))**(-15/8) assuming o is positive.
o**(139/44)
Simplify (p**(-13))**(-10)*(p**(-1)/p)**(-1/39) assuming p is positive.
p**(5072/39)
Simplify (r**(-2/47)/(r/r**(1/4)))**45 assuming r is positive.
r**(-6705/188)
Simplify ((o**(-1/2))**(-2/61)/(o**(-3))**(-4/17))**(2/35) assuming o is positive.
o**(-286/7259)
Simplif
|
{
"pile_set_name": "DM Mathematics"
}
|
j - 1)**3*(9*j - 2)
Determine o, given that 10/9*o**3 + 44/3*o**2 + 16/9 - 50/9*o**4 + 88/9*o = 0.
-1, -2/5, 2
Factor -5/2*z**3 + 0 + 0*z + 0*z**2 - 15/2*z**4.
-5*z**3*(3*z + 1)/2
Let d(m) be the second derivative of 1/2*m**2 - m + 1/12*m**4 - 1/3*m**3 + 0. Let d(x) = 0. Calculate x.
1
Let g(a) be the third derivative of -a**7/8820 + a**6/840 - a**5/210 - a**4/8 + 4*a**2. Let m(s) be the second derivative of g(s). Factor m(o).
-2*(o - 2)*(o - 1)/7
Factor 0*m**4 + 3/5*m**3 + 0*m - 1/5*m**5 - 2/5*m**2 + 0.
-m**2*(m - 1)**2*(m + 2)/5
Let w be 2/7 + (-408)/(-42). Suppose -i = -5*v + 2, -v + 5*i = -6*v - w. Suppose 4/9*j + 2/9*j**2 + v = 0. What is j?
-2, 0
Let q(y) be the second derivative of 0*y**3 + 2*y + 1/70*y**5 + 2/105*y**6 + 0*y**2 - 1/42*y**4 + 0. Factor q(n).
2*n**2*(n + 1)*(2*n - 1)/7
Let v(t) be the second derivative of -t**7/280 + t**6/120 - t**3/2 + 5*t. Let o(p) be the second derivative of v(p). Determine i, given that o(i) = 0.
0, 1
Let i(h) be the first derivative of -1 - 1/15*h**5 + 0*h + 0*h**2 + 0*h**4 + 0*h**3. Let i(n) = 0. What is n?
0
Let o(n) be the first derivative of 9*n**5/10 + 3*n**4/2 - 5*n**3/6 - 3*n**2 - 2*n - 9. Factor o(i).
(i - 1)*(i + 1)*(3*i + 2)**2/2
Let y = 388/3 - 128. Suppose -2/3 + 4/3*a**3 + y*a**2 - 2/3*a**5 - 2/3*a - 2/3*a**4 = 0. What is a?
-1, 1
Suppose w + 2*w = 2*x - 12, 11 = 5*x + 2*w. Find k such that 1/2*k**x + 0*k + 0 + 1/2*k**2 = 0.
-1, 0
Let l(x) be the third derivative of x**6/10 - 7*x**5/20 - x**4/4 - 7*x**2. Factor l(g).
3*g*(g - 2)*(4*g + 1)
What is z in 0*z - z**3 + 5/8*z**4 + 0 - 1/2*z**2 = 0?
-2/5, 0, 2
Let j be 4/(144/(-69)) + 2. Let q(u) be the third derivative of j*u**4 + 0 + 0*u**3 - 1/12*u**5 - 2*u**2 - 7/120*u**6 + 0*u. Suppose q(k) = 0. What is k?
-1, 0, 2/7
Suppose -2*t = -5 + 1. Let x(a) = -a + 10. Let r be x(7). Solve s + r*s**2 - 4*s**2 - t*s = 0.
-1, 0
Let w(d) be the third derivative of -d**6/360 + d**5/180 + d**4/72 - d**3/18 + 9*d**2. Factor w(t).
-(t - 1)**2*(t + 1)/3
Suppose 0 = -5*y - 2*w - 6, 2*w = 4*y + 2 - 8. Let s(i) be the first derivative of -2 + 1/15*i**3 + 0*i + 0*i**2 + y*i**4 - 1/25*i**5. Factor s(m).
-m**2*(m - 1)*(m + 1)/5
What is t in 2*t - 4*t**5 + 2*t**5 + 13*t**4 + 4*t**2 - 17*t**4 = 0?
-1, 0, 1
Suppose 0 = 4*z + 3*a - 21, 4*z + 5 = 5*a + 2. Factor -42*i + 30*i**2 + 14*i + 8 + 0*i**3 - 9*i**z.
-(i - 2)*(3*i - 2)**2
Let r(m) be the first derivative of -3/2*m**2 - 1/4*m**4 - m**3 - m - 2. Solve r(c) = 0.
-1
Let s be 0*((-4)/2)/(-6). Let y(n) be the first derivative of -n**2 - 3 + s*n - 3/4*n**4 - 5/3*n**3. Factor y(u).
-u*(u + 1)*(3*u + 2)
Let u be (23 + -23)*2/4*2. Factor -1/2*q**2 + u - 1/2*q**4 - q**3 + 0*q.
-q**2*(q + 1)**2/2
Let 12*i**2 + 4*i**2 + 2*i**3 - 4*i**2 + 8*i + 2*i**3 = 0. Calculate i.
-2, -1, 0
Let n be 46/(-69)*1/(-2). Find j such that 1/3*j**2 + 1/3*j - 1/3*j**3 - n = 0.
-1, 1
Suppose b + 2*t = 4, -3*b + t - 2 = -b. Suppose 0*g - 3*g - 12 = 0, -5*r - 4*g - 6 = b. Factor 2 - 4*c**r - 3*c**2 - 5*c + 0*c.
-(c + 1)*(7*c - 2)
Factor -2/11 + 2/11*s**2 + 2/11*s - 2/11*s**3.
-2*(s - 1)**2*(s + 1)/11
Let c(i) = 11*i**2 + 8*i + 17. Let k(w) = w**2 + w + 1. Let s(v) = -c(v) + 6*k(v). Let l(p) = 2*p**2 + p + 5. Let z(j) = 7*l(j) + 3*s(j). Factor z(f).
-(f - 2)*(f + 1)
Suppose 5*k + 1 = 3*u, 3*k + 0 = 2*u - 2. Suppose 2*a**3 - u*a + 9*a - a**4 + 1 - 4*a = 0. Calculate a.
-1, 1
Let u be ((-16)/(-6))/(16/24). Determine i, given that 0 - 9*i**2 + 0 - 4*i**u + 13*i**2 = 0.
-1, 0, 1
Let w(t) be the second derivative of 3*t**4/22 - 2*t**3/33 - 22*t. Determine p so that w(p) = 0.
0, 2/9
Let k be (-23)/(-10)*(-5)/2. Let c = 6 + k. Suppose 1/2*p**2 - 1/4*p - c*p**3 + 0 = 0. Calculate p.
0, 1
Suppose -2*q + 9 = 2*q + 3*l, 5*l = -q - 2. Factor -r**3 - 2 + 4*r**3 + q*r**2 + r + 2 + r**4.
r*(r + 1)**3
Let c(n) be the first derivative of -5*n**2 + 3 - 3/8*n**4 - 7/3*n**3 - 4*n. Factor c(o).
-(o + 2)**2*(3*o + 2)/2
Let v(a) be the third derivative of -a**5/180 + a**4/72 - 8*a**2. Suppose v(u) = 0. What is u?
0, 1
Let n = 13/12 + -5/6. Let a = 12 - 23/2. Factor -5/4*s - n*s**3 - a - s**2.
-(s + 1)**2*(s + 2)/4
Suppose 0*t - 15 = -5*t. Suppose -6*n + t*n = 0. Factor n - 2/7*o - 2/7*o**2.
-2*o*(o + 1)/7
Determine v so that -4/3*v - 10/3*v**2 - 2/3*v**4 - 8/3*v**3 + 0 = 0.
-2, -1, 0
Suppose 1/2*m**2 - 1/2*m**4 - 1/6*m**5 - 1/6*m**3 + 0 + 1/3*m = 0. What is m?
-2, -1, 0, 1
Let z(r) = -r**2 - r + 5. Let a be z(4). Let n = -44/3 - a. What is j in 2/3*j + n*j**2 + 1/3 = 0?
-1
Factor -2*w**4 - 20*w**2 + 50*w**3 - w**4 - 12*w**4 - 40*w.
-5*w*(w - 2)**2*(3*w + 2)
Let k(l) = l**2 - 16*l + 15. Let p be k(15). Suppose p = -u - 0*u. Suppose 0*f**2 + u + 0*f - 1/4*f**3 = 0. What is f?
0
Let s = 6 - 4. Suppose 6 = -0*f + s*f. Solve 2*c + 2*c**2 - c + 4 - f*c - 4*c = 0.
1, 2
Let l(v) be the first derivative of 8*v**3 + 18*v + 5/3*v**4 + 18*v**2 + 2/15*v**5 + 6. Solve l(u) = 0.
-3, -1
Let x(f) be the third derivative of f**5/330 - f**4/33 + 4*f**3/33 + 7*f**2. Solve x(t) = 0 for t.
2
Let z(b) be the first derivative of -b**5/80 + b**3/8 + b**2/2 + 4. Let j(i) be the second derivative of z(i). Suppose j(f) = 0. Calculate f.
-1, 1
Let g(m) = 5*m**4 + 2*m**3 + m**2 + 4*m - 6. Let s(r) = 6*r**4 + 2*r**3 + r**2 + 5*r - 7. Let x(w) = -7*g(w) + 6*s(w). Determine k so that x(k) = 0.
-1, 0, 1, 2
Let o(g) = g**3 + 10*g**2 + 3*g - 6. Let w be o(-9). Suppose -4*n**2 + 1 - 1 - 46*n**3 + w*n**3 + 2*n = 0. Calculate n.
0, 1
Let w(r) = -49*r**3 - 9*r**2 + 55*r + 9. Let u(o) = 50*o**3 + 10*o**2 - 54*o - 10. Let m(k) = -3*u(k) - 2*w(k). Factor m(z).
-4*(z - 1)*(z + 1)*(13*z + 3)
Let -2/5*j**4 - 2*j + 6/5*j**2 + 4/5 + 2/5*j**3 = 0. Calculate j.
-2, 1
Let z(l) be the second derivative of l**6/225 + 2*l**5/75 - 13*l**4/45 - 4*l**3/3 + 15*l**2 + 56*l. Factor z(q).
2*(q - 3)**2*(q + 5)**2/15
Let j(p) be the second derivative of p**5/30 + p**4/3 + 3*p**2 + 2*p. Let w(s) be the first derivative of j(s). Factor w(i).
2*i*(i + 4)
Let r = 6 - 3. Suppose r*l - 21 = 5*p, -5 = 6*l - 4*l + 3*p. Find g, given that -4*g**4 - 2*g**3 - l*g**3 + 7*g**3 + g**2 = 0.
-1/4, 0, 1
Suppose f - 3*g + 0*g + 9 = 0, 2*f - 5*g + 14 = 0. Factor -1/5*m**2 - 2/5*m + 1/5*m**f + 0.
m*(m - 2)*(m + 1)/5
Let l be 4/(-12) - (-2)/6. Suppose 0 = -r - l*r + 6. Suppose 2 + 1 + 2*v**2 + 1 - r = 0. Calculate v.
-1, 1
Determine d so that 8 + 4*d - d**3 + 4*d**4 - 12*d**2 + 6*d**3 - 9*d**3 = 0.
-1, 1, 2
Let f(t) be the third derivative of 1/120*t**6 + 0*t - 2/3*t**3 - t**2 + 0 + 0*t**4 + 1/20*t**5. Find u such that f(u) = 0.
-2, 1
Let m be (((-3)/(-6))/1)/(-14). Let s = m - -2/7. Let 0*j - s*j**3 + 0*j**2 + 3/4*j**4 + 0 + j**5 = 0. What is j?
-1, 0, 1/4
Solve 1 + 5/2*p + 1/2*p**3 + 2*p**2 = 0.
-2, -1
Let w(g) be the second derivative of g**4/42 + g**3/7 - 5*g. Factor w(n).
2*n*(n + 3)/7
Let a(d) be the third derivative of d**7/420 - d**6/12 + 5*d**5/4 - 125*d**4/12 + 625*d**3/12 - 43*d**2. Solve a(v) = 0 for v.
5
Let n(a) = 5*a**5 - 5*a**4 - 41*a**3 - 19*a**2 + 6*a - 6. Let p(r) = -r**5 - r**4 + r**3 - r**2 - r + 1. Let w(b) = n(b) + 6*p(b). Factor w(f).
-f**2*(f + 1)*(f + 5)**2
Let u(z) = 4*z**4 - 5*z**2 - 4*z - 4. Let q(f) = 4*f**4 - 6*f**2 - 5*f - 5. Suppose 5*o + 9 = -16. Let p(b) = o*u(b) + 4*q(b). Factor p(x).
-x**2*(2*x - 1)*(2*x + 1)
Let j(g) be the third derivative of g**7/420 - g**5/120 - 11*g**2. What is n in j(n) = 0?
-1, 0, 1
Suppose 3*g - 19 = -0*g - 2*h, 3*g - h - 13 = 0. Suppose -15 = -2*y + g. Factor 73*w**2 + 32 + 7*w**2 + 80*w + 40*w**3 + w**5 + y*w**4 + 0*w**5.
(w + 2)**5
Let g be (-630)/(-1176) - 2/7. Factor 1/4*u + g*u**3 - 1/2*u**2 + 0.
u*(u - 1)**2/4
Let p(r) be the first derivative of 4*r**5/25 - r**4/5 - 4*r**3/15 + 2*r**2/5 - 6. Factor p(v).
4*v*(v - 1)**2*(v + 1)/5
Let s(y) = -5*y**3 - 5*y**2 - 10*y - 4. Suppose 3*n = n - 4. Let l(j) = -4*j**3 - 6*j**2 - 10*j - 4. Let b(q) = n*s(q) + 3*l(q). Factor b(w).
-2*(w + 1)**2*(w + 2)
Let m(y) = y**4 - y**3 + y**2 - y. Let l(s) = 6*s**4 - 2*s**3 + 8*s**2 - 4*s. Let j(o) = l(o) - 5*m(o). Find f such that j(f) = 0.
-1, 0
Let c(l) = -l**3 + 2*l**2 + 2*l - 1. Let b be c(2). Factor 2/5*n**b + 0*n + 0 + 2/5*n**2 - 2/5*n**5 - 2/5*n**4.
-2*n**2*(n - 1)*(n + 1)**2/5
Factor m**4 + 1/3*m**5 - m - 1/3 + 2/3*m**3 - 2/3*m**2.
(m - 1)*(m + 1)**4/3
Let g(i) be the first derivative of -135*i*
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{
"pile_set_name": "DM Mathematics"
}
|
3
Let z(n) = n**3 + 7*n**2 - 6*n - 44. Let g be z(-5). Calculate the remainder when 1/6 + (-6)/(g/(-461)) is divided by 13.
12
Let j = 4252 + -4234. Let w = -16 - -57. Calculate the remainder when w is divided by j.
5
Suppose 9*h - 4*h = -165. Let u = h - -42. Suppose i - 15 = -0*i. What is the remainder when i is divided by u?
6
Let a = 2683 + -2191. Suppose 5*s - 322 = -4*v, 4*s - v = 79 + 166. What is the remainder when a is divided by s?
58
Suppose 5*u + 3579 = 2*x, -3*u + 1806 = -8*x + 9*x. What is the remainder when x is divided by 29?
28
Suppose -4*u + 2 = -f - 14, -f + 2*u - 6 = 0. Let g = f - -42. What is the remainder when g is divided by 32?
14
Let k(b) = -b**2 - 10*b - 2. Let l be (3/9 - 15/(-36))*-4. What is the remainder when 65 is divided by k(l)?
8
Let x = -1173 - -1640. What is the remainder when x is divided by 446?
21
Suppose -22*m + 27*m + 4*k - 12589 = 0, 3*m + 3*k - 7554 = 0. What is the remainder when m is divided by 84?
81
Let c(o) = 2*o + 4*o - 6 - 4. Suppose 5*z - 3*z = 6. Calculate the remainder when c(z) is divided by 5.
3
Let m = 381 + -346. Suppose -18*a + 23*a = m. Suppose -15 = -3*l, 7*l - 4*l + 50 = 5*x. Calculate the remainder when x is divided by a.
6
Suppose -2*i - i = -4*l - 676, -l - 4 = 0. Let o be ((-3)/(-5) + (-910)/(-25))/1. Let t = 74 - o. What is the remainder when i is divided by t?
35
Let r(h) = 7*h**2 + 2*h - 3. Let f be r(-3). Let d be 88*(3/14 + (-6)/(-21)). Let w = f - d. What is the remainder when 57 is divided by w?
7
Suppose -11*d + 67970 + 41357 - 19809 = 0. Calculate the remainder when d is divided by 185.
183
What is the remainder when 0 + (-3 - -1) + 4 + (-2 - -236) is divided by 120?
116
Let s be (1 - 13/4)*(-29 - -25). Suppose 3*j = 3*k - 39, -2*j - 3*k = 7 + s. Let y(w) = 2*w + 39. What is the remainder when 30 is divided by y(j)?
13
Let w be (-41 + 38)*(-13)/(-3)*-14. Let n(u) = 2*u + 6. Let p be n(3). What is the remainder when 18 is divided by (p/(-14))/((-26)/w)?
0
Let u(d) = d**3 + 6*d**2 + 4*d. Let l be u(-5). Suppose 3*x = 3*s - 21, -l*x = -0*x - 5. What is the remainder when s is divided by 4?
0
Suppose z + 4 = 19. Let i be 5/(-5) + 0/(-7). Calculate the remainder when ((-27)/5)/(i - 12/(-15)) is divided by z.
12
Let d be 18/4 + -5 - (-93)/6. Calculate the remainder when 8*d - (-2 + 8 - 3) is divided by (-2)/(-2)*19 + -4.
12
Let z(p) = -p**3 + 7*p**2 + p - 2. What is the remainder when 1796 is divided by z(6)?
36
Suppose -3*l + 4 = -5. Suppose -l*v + 223 = -4*m, -2*m + 88 = v - 3. What is the remainder when v is divided by 41?
40
Suppose 2*a = 5*k - 236, 0*k - 96 = a + 3*k. Let f = -71 - a. What is the remainder when 72 is divided by (-3)/(-6)*f + (-15)/(-10)?
12
Suppose 0 = 5*d - 25, 3*i + 4*d + 337 = -2703. Suppose 4*f - 140 = -0*f - 4*o, f - 43 = 3*o. Calculate the remainder when ((-4)/5)/(12/i) - -3 is divided by f.
34
Let q = 217 - 314. Let x = -68 - q. Let z = 88 + -33. What is the remainder when z is divided by x?
26
Suppose -o = 5*t - 2504, -6*o + 3*t + 2512 = -5*o. Suppose 0 = -21*y + 8*y + o. What is the remainder when y is divided by 39?
37
Let l = -15967 + 24191. Calculate the remainder when l is divided by 46.
36
Let t(a) = -2. Let l(s) = -s + 21. Let c(b) = 2*l(b) + 22*t(b). Let o be c(-6). Calculate the remainder when 2/(-12)*(o - 8)*-57 is divided by 6.
1
Suppose 4*n - 27 = -2*w + 7, 0 = 5*n - 2*w - 65. Let v = 45 + n. What is the remainder when 166 is divided by v?
54
Let z be -488*3/9*(-12)/8. Let h = z + -215. What is the remainder when 81 is divided by h?
23
Suppose 20520 = 5*w - 5*l, 9*w + 262*l - 258*l = 36832. What is the remainder when w is divided by 372?
4
Let t = 942 + -562. Suppose 12*x - 28 = t. Calculate the remainder when 98 is divided by x.
30
Suppose -2*w - 168 = 3*c, -4*c + w - 129 - 106 = 0. What is the remainder when 75 is divided by (-2 + 1 - c) + -34 + 30?
22
Suppose -2*b - 54*i = -57*i - 234, b = -4*i + 95. Calculate the remainder when b is divided by 35.
6
Suppose -3*r + 107 + 64 = 0. What is the remainder when 54/(6 + 3) + r is divided by 11?
8
Suppose -223*s = 60*s - 203194. Calculate the remainder when s is divided by 13.
3
Let y(d) = -d**3 - 108*d**2 + 110*d + 148. Calculate the remainder when y(-109) is divided by 38.
1
Let v(h) = 25*h - 5. Suppose 0 = -3*x - 14281 + 14500. What is the remainder when v(6) is divided by x?
72
Let s(f) = f**2 - 3*f - 4. Suppose 3*u = -u + 16, u = -2*o + 142. Calculate the remainder when o is divided by s(7).
21
Suppose -k + 0*k + 40 = -4*y, 2 = -2*y. Let a(b) = -b**2 + 5*b - 6. Let t be a(7). Let x = k + t. What is the remainder when 61 is divided by x?
13
Suppose -s + 0*q = -4*q, -s - 16 = 4*q. Let d(f) = -5*f - 37. Let r be d(s). What is the remainder when (-1)/(6*164/330 - r) is divided by 28?
27
What is the remainder when 170/(-1)*(35/(-2) + -1 + 13) is divided by 157?
150
Suppose 15*q = 14*q + 5*p + 4983, 5*p - 24825 = -5*q. Calculate the remainder when q is divided by 11.
7
Suppose -2*m + 3*s = -35, 2*m + 5*s = -48 + 123. Let a(f) = 5*f**2 + 21*f - 7. Calculate the remainder when m is divided by a(-5).
12
Let c = -22 + 44. Suppose -586 = 8*g + 278. Let b = g - -151. What is the remainder when b is divided by c?
21
Let j(n) = 3*n**2 - 10*n - 10. Suppose 0 = 8*q + 15*q - 115. What is the remainder when 237 is divided by j(q)?
12
Let k = 4 - 29. Let q be 1/(2 + k/15). Suppose -q*d + 60 = 2*d. What is the remainder when 44 is divided by d?
8
Suppose -3010*i + 2979*i + 434 = 0. Suppose 3*f = 5*f - u - 218, -2*f + 4*u = -212. Calculate the remainder when f is divided by i.
12
What is the remainder when 746 is divided by (-275)/15*(-114)/95?
20
Let v(m) = -2*m**2 + 90*m + 2409. Calculate the remainder when v(-17) is divided by 143.
15
Let f = -998 + 380. Let h = f + 632. Calculate the remainder when 320 is divided by h.
12
Let k(c) = 266*c. Let w(i) = -7*i. Let r(b) = 4*k(b) + 154*w(b). Let d(o) = 2*o**3 - 93*o**2 + 48*o + 15. What is the remainder when d(46) is divided by r(-2)?
23
Suppose -41474 = -74*f + 50138. Calculate the remainder when f is divided by 255.
218
What is the remainder when 301 is divided by 33/((-71 + 77)/(1*8))?
37
Suppose 4*v = -4*r + 480, 5*v - 120 = -r + 16. Calculate the remainder when 574 is divided by r.
110
Let d = 74 - 53. Calculate the remainder when (-93)/(1674/1248)*6/(-8) is divided by d.
10
Calculate the remainder when (-4815)/(-25) - 3 - (36/(-15) + 3) is divided by 97.
92
Let n(k) = 12*k**2 + k - 1. Let f be n(3). Let u be (-12545)/325 + (0 - (-9)/15). Let w = u + f. What is the remainder when w is divided by 19?
15
Suppose 9*u + 37793 - 276797 = 0. Calculate the remainder when u is divided by 98.
96
Let o(b) = -10*b. Let c be o(3). Let g be (-4)/c - (-3592)/60. Suppose 7*x - x = g. Calculate the remainder when 16 is divided by x.
6
Let m = -18 - -14. Let u(b) = b**2 - b - 3. Let j be u(m). Suppose 19 = 4*x - j. Calculate the remainder when x is divided by 4.
1
Suppose u + v = 4, 3*u = v + 11 + 5. Suppose -7*z = -19*z + 684. Let k = u + z. What is the remainder when k is divided by 18?
8
Let u(c) = 11*c**3 + 2*c**2 + 2*c - 2. Suppose 1027 - 286 = -13*h. Let i = h - -77. Calculate the remainder when u(2) is divided by i.
18
Suppose 50*m - 46*m = -4*f + 4972, 5*f - 3715 = -3*m. What is the remainder when m is divided by 114?
110
Suppose 5*k = -227 + 247. Calculate the remainder when (-3)/2*-1*120/18 is divided by k.
2
Suppose 0 = -8*u + 995 - 947. Let v be (-132)/(-55)*(-5)/(-2). What is the remainder when (2 + (2 - -14))*4/v is divided by u?
0
Suppose -3*f + 4*h = 1367 - 1613, 328 = 4*f - 3*h. Calculate the remainder when 308 is divided by f.
62
Let g = -30331 - -30355. Suppose 20 = 2*p + 5*z - 94, 3*z + 213 = 3*p. Calculate the remainder when p is divided by g.
19
Let z be 15/(-5) + (-2)/(-1) + 2. Let f(a) = 26*a - 2. What is the remainder when 188 is divided by f(z)?
20
Suppose a - w - 2*w = 27, 3*w + 12 = 0. Suppose a = 5*q - 0*q. Suppose q*j = 4*j - 26. Calculate the remainder when j is divided by 14.
12
Let o = 189 - 199. Calculate the remainder when 48 is divided by 21/5 + (1 - (-2)/o).
3
Suppose 295034 + 41491 = 35*d. What is the remainder when d is divided by 26?
21
Suppose -34*g + 576 = -1090. Suppose -487 = -637*o + 636*o. What is the remainder when o
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{
"pile_set_name": "DM Mathematics"
}
|
d**2 + 28*d + 39. What are the prime factors of x(12)?
3, 7, 11
Let n(v) = v**2 + 7*v - 15. Suppose -r + 0*u + u - 16 = 0, -5*r - 40 = 3*u. What are the prime factors of n(r)?
29
List the prime factors of 40/(-12) - (-4492)/3.
2, 3, 83
Let m(j) = 7*j - 46. Let h be m(6). List the prime factors of (178/(-4))/(h/8).
89
Suppose 2*l - 73 = 25. Let z = -35 + l. Let n = z - 1. What are the prime factors of n?
13
Let p(s) = s**2 + 19*s + 4. Let z be p(-19). Suppose -3*i - z*i + 399 = 0. What are the prime factors of i?
3, 19
Suppose -4*k - 5*f = k + 5, -5*k = -f - 13. Suppose k*b + 3*r + r = 36, -4*r = -4*b + 108. List the prime factors of b.
2, 3
Suppose -2*k = -k - 4. Suppose 4*j - 2*z + 18 = 5*j, -5*z = k*j - 60. What are the prime factors of j?
2, 5
Suppose 304 = 4*j + 4*d, 5*j - 189 = 4*d + 164. Let z = j + 72. List the prime factors of z.
5, 29
Let q be (17 - 14)/((-6)/28). Let r = q + 33. What are the prime factors of r?
19
Suppose 0 = 4*z - 3*n - 20, -2*z + 5*n = z - 15. Suppose 0 = -3*q + z*q. Suppose 3*k = -q*v - 4*v + 35, -v - 4 = 5*k. What are the prime factors of v?
11
Let g = 1519 - 919. Suppose -6*i = -g + 168. List the prime factors of i.
2, 3
Suppose 0 = -5*k + q + 35, 4*q - 4 = -3*k + 5*k. Let c(p) = 9*p - 16. List the prime factors of c(k).
2, 7
Let s(r) = -2*r - 17. Let y be s(-12). Let z(c) = y*c + 3 + 0 - 11 + 2*c**2. List the prime factors of z(-8).
2
Suppose 2*o - 4 = -0*d - 3*d, -5*o - 13 = -4*d. Let c be ((-564)/(-30))/(o/5). List the prime factors of (-8)/(-28) - c/14.
7
Let b(u) = 3*u**2 - 18*u. Let y(o) = -5*o**2 + 36*o. Let c(l) = 7*b(l) + 4*y(l). List the prime factors of c(-20).
2, 5
Let x(o) = 34*o - 1. Let f be (1 + -3)*(-3)/6. What are the prime factors of x(f)?
3, 11
Let d = -3 - -18. Let c(f) = -f + 35. Let g be c(d). Suppose 8 + g = 2*h. List the prime factors of h.
2, 7
Suppose -7*n + 8*n = -a + 820, -n = -3*a - 816. List the prime factors of n.
3, 7, 13
Let h(p) = -p**3 - 13*p**2 + 8*p - 10. Let s be h(-12). What are the prime factors of (2/4)/(((-15)/s)/3)?
5
Suppose 0*l = 12*l. Suppose 2*x = -l*m + m + 146, -m = 3*x - 219. List the prime factors of x.
73
Suppose -48 = 5*v - 4*s + 9, -60 = 5*v - 5*s. Let k(i) = -i - 8. Let h(b) = -b + 1. Let u(c) = 4*h(c) + k(c). What are the prime factors of u(v)?
41
Suppose -3*s - 1317 = -2*i + 5109, 0 = -3*s. What are the prime factors of i?
3, 7, 17
Suppose -u + 5*a + 1353 = 0, 5*u + 5*a - 6877 = 2*a. What are the prime factors of u?
1373
Suppose 28796 = 34*b - 11*b. List the prime factors of b.
2, 313
Suppose -445 - 716 = -3*y. What are the prime factors of y?
3, 43
Suppose -5*x = -u - 4468 - 784, 0 = x + 2*u - 1057. List the prime factors of x.
1051
Suppose a = -4*a - 5. Suppose -3*y = 3, 0 = 5*x - 3*y - y + 16. List the prime factors of 31 - (a - -1)/x.
31
Let x = -31 + 31. Suppose -3*d = u - 132, 3*u + x*u - 4*d - 448 = 0. List the prime factors of u.
2, 3
Let s(p) = 22*p**2 + 3*p - 7. What are the prime factors of s(-2)?
3, 5
Suppose 0 = -3*g - 4*t + 10203, -40*g + 45*g - 2*t = 17031. What are the prime factors of g?
3, 5, 227
Suppose 4*b + 20 = 0, -3*b - 160 = -2*o - 5*b. List the prime factors of 7*28 + o/17.
3, 67
Let h be -9 + 14 - 1/1. Suppose h*q = t - 75, -3*q = -4*t + 111 + 163. List the prime factors of t.
67
Let h = -2705 - -5109. List the prime factors of h.
2, 601
Let c = 299 - -721. What are the prime factors of c?
2, 3, 5, 17
Let u(c) = -c**2 - 50*c - 44. What are the prime factors of u(-24)?
2, 5, 29
Suppose a - 523 + 65 = 0. Let g be -4*1 - (0 - a). Suppose -8*y = -42 - g. What are the prime factors of y?
2, 31
Let x be (2/4)/(14/(-168)). Let d be x/8*(-20)/5. Suppose -d*a + 41 = 2. List the prime factors of a.
13
Suppose 3*s - 10 = -2*s, -3*s + 29 = j. Suppose -j*m + 30*m = 2289. What are the prime factors of m?
3, 109
Let t(a) = a**2 + 8*a + 3. Let n be t(-8). Suppose n*q - 2 = d - 7, -1 = -d - q. Suppose d*p = 8, -2*i + 0*p + 28 = -2*p. What are the prime factors of i?
2, 3
Suppose 924 + 1092 = 8*b. Let q = b - 180. What are the prime factors of q?
2, 3
Suppose -4*n - 3256 + 11282 = c, 8034 = 4*n - 3*c. What are the prime factors of ((-6)/18)/((-3)/n)?
223
Let a(y) = 1 + 1 - 310*y + 308*y. Suppose -3*r + 4 = z + 18, 0 = -3*r + 5*z - 20. What are the prime factors of a(r)?
2, 3
Let j be (-8)/(-24) - (-64)/6. What are the prime factors of (1 - 7)/((j/4)/(-11))?
2, 3
Suppose 3*w + 2*g + 14 = 8*w, 4*w - 3*g - 14 = 0. Let c be 13 + -4 - 2*-1. Suppose 129 - c = w*i. List the prime factors of i.
59
Suppose 17*x - 6965 = 3728. What are the prime factors of x?
17, 37
Let s = 376 - -56. List the prime factors of s.
2, 3
Let x = 19 - 15. Let w be x/14 + (-1643)/(-7). Suppose -115 - w = -5*t. List the prime factors of t.
2, 5, 7
Let w(l) = 6*l**2 - 55*l - 15. What are the prime factors of w(18)?
3, 313
Let m = 16 - -87. List the prime factors of m.
103
Suppose 70*a = 52*a + 15912. What are the prime factors of a?
2, 13, 17
Let n(l) be the third derivative of l**5/20 + l**4/8 - 4*l**3/3 + 2*l**2. Let f be n(-4). Let j = f + -7. What are the prime factors of j?
3, 7
Let o = 126 + 2. What are the prime factors of o?
2
Let u be 3/(54/(-4)) + 1470/(-189). List the prime factors of ((-6)/u)/(3/(-101))*-4.
101
Let a = 2073 - 423. What are the prime factors of a?
2, 3, 5, 11
Let z(b) = -2*b**2 - 3*b + 8. Let j be z(-4). Let u(t) = t**3 + 13*t**2 + 10*t - 10. List the prime factors of u(j).
2, 7
Let j be (-8)/(-16) - (-10)/4. Suppose -32 = -u + 2*g, u + j*u - 5*g = 113. List the prime factors of 2/4*2 + u.
23
Let s = 4360 + -2333. List the prime factors of s.
2027
Let n = 283 + -166. Suppose 2*p - 4*f + n = 5*p, 3*p - 126 = -f. List the prime factors of p.
43
List the prime factors of (-237)/(-2 + 18/10) + 0.
3, 5, 79
Let z = 47 - 42. Suppose -6 = -3*a, -z*i + 5*a + 30 = -0*i. List the prime factors of i.
2
Let s(j) = -2*j + 7. Let i(m) = 2*m - 6. Let f(v) = 5*i(v) + 6*s(v). Let q = 51 + -59. List the prime factors of f(q).
2, 7
Suppose 3*d + c + 3 = 15, 2*d - 2*c = 8. Suppose 0 = d*p - 2 - 6. Suppose 0 = 3*t - 4*k - 61, -p*t = -t - 3*k - 27. List the prime factors of t.
3, 5
Let x(h) = 2*h + 9. Suppose -24 = 4*b - 4*f, -4*b = b + 3*f + 30. Let s be x(b). List the prime factors of (-7)/(s/(5 + 1)).
2, 7
Suppose -14 + 4 = -5*t. Suppose -38 = h - t*h. Let n = h + -14. List the prime factors of n.
2, 3
Let t = -1 + 3. Suppose -8*y + 6*y - i + 276 = 0, -5*y = 4*i - 696. Suppose t*g = -2*m + y, -g + 3*m = -m - 63. What are the prime factors of g?
67
Suppose 0*t + 4 = t, 0 = 4*y + 2*t + 20. Let p be (-240)/9 + 2/3. Let o = y - p. List the prime factors of o.
19
What are the prime factors of 1196 - (-2)/4*16?
2, 7, 43
Let y = 36 - 21. Let f = 7 - y. Let x = 14 + f. List the prime factors of x.
2, 3
Let y = 94 + -4. List the prime factors of y.
2, 3, 5
Suppose -q - 17 = -211. What are the prime factors of q?
2, 97
Suppose o = 3*y + y - 55, -o - 34 = 3*y. Suppose -4*g + 4*c = -15 - 353, -365 = -4*g + 5*c. Let p = g + o. What are the prime factors of p?
2, 13
Let o = 784 + 1630. What are the prime factors of o?
2, 17, 71
Suppose -11*s + 60 = s. Suppose -y + n = 6*n - 77, s*n = -5*y + 465. What are the prime factors of y?
97
Let h(s) = -s**3 + 14*s**2 - 14*s + 23. What are the prime factors of h(13)?
2, 5
Suppose 727 + 144 = 2*j - 3*u, -j + 431 = -3*u. What are the prime factors of j?
2, 5, 11
Let f = 12 + -39. What are the prime factors of (f/(-3))/((-5)/(20/(-3)))?
2, 3
Let a be (-24)/(-42) + (-34)/(-14). Suppose 2*n = -5 - a, -p + 5*n = -22. Suppose 0 = -p*f + 1 + 39. List the prime factors of f.
2, 5
What are the prime factors of 446/2*8 + 6/(-1)?
2, 7, 127
Suppose 2*c + 4*p = -2*c + 20, -2*p = -5*c + 11. Suppose -3*v = 2*j - 2*v + 2, 0 = -2*j - c*v - 10. What are the prime factors of 7 - (2 - 1/j)?
2, 3
Let q be (-102)/18 + 5 + 159/9. Let w = 4 - -22. Let b = w - q. List the prime factors of b.
3
Let l = -1224 + 1931. What are the prime factors of l?
7, 101
Let n(r) = -r**3 + 4*r**2 - 5. Let b be n(5). Let k = b - -30. Suppose 5*g - g - 100 = k. List the prime factors of g.
5
Suppose -4*m - m = 0. Suppose 8 + m = 2*f. What are the prime factors of f/6*441/14?
3, 7
Suppose g - 6*g = 4*m - 771, 5*m + 4*g - 957 = 0. Suppose 4*j - 463 = m. List the prime factors of j.
163
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
ctor 3/7*i**2 + 0 + d*i.
3*i*(i + 1)/7
Suppose y = -0 + 4. Let l(t) = 2*t**2 + 4*t - 2. Let q(o) = -o. Let a(i) = y*q(i) + l(i). Solve a(s) = 0.
-1, 1
Let t(s) = -s**3 + s**2 + 1. Let j(r) = 8*r**3 + 16*r**2 + 48*r + 31. Let u(z) = j(z) + 5*t(z). Determine f so that u(f) = 0.
-3, -2
Let h(c) be the third derivative of -c**6/120 + c**5/120 + 2*c**2. Factor h(s).
-s**2*(2*s - 1)/2
Suppose 32/3 + 2/3*p**3 + 16*p + 6*p**2 = 0. Calculate p.
-4, -1
Let j(p) be the first derivative of -5*p**6/6 - 4*p**5 - 25*p**4/4 - 10*p**3/3 - 1. Factor j(h).
-5*h**2*(h + 1)**2*(h + 2)
Let u(s) be the first derivative of -4*s - 2/3*s**3 + 3*s**2 - 1. Factor u(n).
-2*(n - 2)*(n - 1)
Factor 0 + 2/5*k + 2/5*k**2 - 8/5*k**5 + 22/5*k**4 - 18/5*k**3.
-2*k*(k - 1)**3*(4*k + 1)/5
Let j = 177585 + -1600486/9. Let z = j - -247. Factor -2/9*c**2 + 0 - z*c**3 + 2/9*c**4 + 2/9*c.
2*c*(c - 1)**2*(c + 1)/9
Let q(v) = -3*v**3 - 5*v**2 - 7*v + 5. Let o(p) = 61*p**3 + 66*p**3 - 129*p**3 + 3 - 4*p - 3*p**2. Let t(l) = 5*o(l) - 3*q(l). Factor t(g).
-g*(g - 1)*(g + 1)
Factor 9/2*z - 3/4*z**2 - 27/4.
-3*(z - 3)**2/4
Let f = -151/4355 + 8/201. Let u(m) be the second derivative of 0 + 0*m**3 + 1/130*m**5 + 2*m - f*m**6 + 0*m**4 + 0*m**2. Solve u(l) = 0 for l.
0, 1
Let x(l) = -3*l**3 + 13*l**2 + 3*l. Let m(w) = -w**3 + 6*w**2 + 2*w. Suppose -s + 25 = -6*s. Let p(a) = s*m(a) + 2*x(a). Find o, given that p(o) = 0.
-2, 0
Let w be (-4)/(-2) - ((-882)/56)/(-9). Let i be 0 + 0*(-1)/2. Factor 0 + w*c**3 + 0*c**2 + i*c.
c**3/4
Let v(n) = n**3 + n**2 + 1. Let f(c) = 5*c**4 + 18*c**3 + 29*c**2 + 20*c. Let h(q) = f(q) + 4*v(q). Factor h(k).
(k + 1)**2*(k + 2)*(5*k + 2)
Let m(h) be the second derivative of h**6/40 - 3*h**5/10 + 3*h**4/2 - 4*h**3 + 6*h**2 - 5*h. Factor m(q).
3*(q - 2)**4/4
Let f(q) be the third derivative of q**9/30240 + q**8/5760 - q**7/5040 - q**5/20 + q**2. Let l(r) be the third derivative of f(r). Factor l(a).
a*(a + 2)*(4*a - 1)/2
Let b(g) = -16*g - 1. Let j(s) = 3*s. Let w(r) = 2*b(r) + 11*j(r). Let y be w(6). Find h such that 1/6*h**5 + 0*h + 1/6*h**3 + 0*h**2 + 0 + 1/3*h**y = 0.
-1, 0
Let a(w) = -35*w**4 - 13*w**3 + 167*w**2 - 155*w + 36. Let u(f) = 17*f**4 + 7*f**3 - 83*f**2 + 77*f - 18. Let y(o) = 2*a(o) + 5*u(o). Factor y(t).
3*(t - 1)**2*(t + 3)*(5*t - 2)
Let h = 29 - 24. Let x(b) = -b**4 - 4*b**3 - b**2. Let z(s) = 3*s**4 + 9*s**3 + 3*s**2. Let u(a) = h*x(a) + 2*z(a). Factor u(k).
k**2*(k - 1)**2
Let p(m) = m**4. Let k(v) be the first derivative of -4*v**5/5 + v**4 + 14*v**3/3 + 4*v**2 - 2. Let n(c) = 2*k(c) + 4*p(c). Factor n(b).
-4*b*(b - 4)*(b + 1)**2
Let p(j) = 8*j. Let y be p(1). Suppose 6*l - y = 2*l. What is f in 6*f**3 + 0*f - 3*f**4 - l*f - f**4 = 0?
-1/2, 0, 1
Let j = 2/19 - -24/133. Factor 4/7*n + j + 2/7*n**2.
2*(n + 1)**2/7
Let n = -1/224 - 575/224. Let q = 20/7 + n. Find t such that 2/7*t**3 + 0*t - q*t**5 + 0 - 2/7*t**4 + 2/7*t**2 = 0.
-1, 0, 1
Let g(r) = -19*r**4 - 88*r**3 - 43*r**2 + 30*r - 4. Let h(s) = 18*s**4 + 87*s**3 + 42*s**2 - 30*s + 3. Let z(x) = 3*g(x) + 4*h(x). Find t such that z(t) = 0.
-5, -1, 0, 2/5
Let m(f) = f - 2. Let n be m(2). Let 1/4*p**2 + 1/2*p + n = 0. What is p?
-2, 0
Suppose 2*q = 4*d - 0*d + 22, -29 = 5*d - q. Let s be (-1)/(-6) - 35/d. Let -2*g**2 + 2 + 0*g**3 + 2 - s*g**3 - 2*g**4 + 6*g = 0. What is g?
-2, -1, 1
Let z(v) be the third derivative of -v**7/735 + v**6/420 + v**5/210 - v**4/84 + v**2. Factor z(r).
-2*r*(r - 1)**2*(r + 1)/7
Let -3*r + 2 - r**2 - 5 + 1 = 0. What is r?
-2, -1
Let c(d) be the second derivative of -d**6/120 + d**5/16 - d**4/16 - 3*d**3/8 + 20*d. Suppose c(q) = 0. Calculate q.
-1, 0, 3
Let r(q) be the second derivative of -1/30*q**6 + 1/10*q**5 - 1/12*q**4 + 0*q**2 + 0 - 4*q + 0*q**3. Factor r(y).
-y**2*(y - 1)**2
Let h(v) = v**3 + 3*v**2 - 3*v - 3. Let l be h(-3). Suppose -9*s = -l*s. Let 0*i + 2/7*i**5 - 2/7*i**4 - 2/7*i**3 + 2/7*i**2 + s = 0. Calculate i.
-1, 0, 1
Let k be 12/9*2 - 6/(-18). Let q(a) be the third derivative of 0*a - 1/3*a**k - 1/30*a**5 - 1/6*a**4 + 0 + 3*a**2. Find y such that q(y) = 0.
-1
Let d(l) = -4*l**3 - 2*l**2 + 4 + 3*l**3 + 2*l**3 + l**3. Let s(b) = b**3 - b**2 + 1. Let j(p) = d(p) - 4*s(p). Factor j(m).
-2*m**2*(m - 1)
Suppose -15 = -4*y + 1. Let g(j) = 2*j**2 - 6*j. Let n be g(y). Factor -24*s**3 - 10*s**2 + 18*s**4 + 8*s - n + 10*s + 6*s.
2*(s - 1)*(s + 1)*(3*s - 2)**2
Suppose -r = 3*t - 25, -3*t + 4*r + 23 = 3*r. Suppose t*v - 3*v = 0. Factor v + 2/9*u**2 + 0*u.
2*u**2/9
Suppose -5*g = 5*q - 15, 6*g - 11 = 2*g - 5*q. Let p be 0 - (-32)/6 - g. Factor -p - 2/3*l + 2/3*l**2.
2*(l - 2)*(l + 1)/3
Suppose 4*q = 6*q. Suppose -7*z + 8*z = q. Suppose 4/3*f**3 + 0*f + 14/3*f**4 + z + 0*f**2 = 0. What is f?
-2/7, 0
Let i(q) = q**3 + 15*q**2 + 15*q + 14. Let m be i(-14). Find d such that -6/5*d**3 + 2/5*d + 4/5*d**2 + m = 0.
-1/3, 0, 1
Let y = -5 - 0. Let t be (5 + y)*(-2)/(-4). Find d, given that -1/2*d**2 + t + 1/2*d = 0.
0, 1
Let k be (0 + (3 - 2))*(-4)/(-2). Factor -1/2*s**2 - 2 - k*s.
-(s + 2)**2/2
Suppose 3*y = -28 - 26. Let z be (y/15)/(-2)*1. Solve -2/5 - z*c**2 + 7/5*c + c**4 - 7/5*c**3 = 0.
-1, 2/5, 1
Let d be 3/2*60/135. Solve d*p - 2/3 + 2/3*p**2 - 2/3*p**3 = 0.
-1, 1
Let b(w) be the third derivative of w**7/525 - w**6/75 + w**5/25 - w**4/15 + w**3/15 - 25*w**2. Let b(o) = 0. What is o?
1
Let o(f) be the first derivative of f**4/8 + f**3/2 + 3*f**2/4 - f + 1. Let z(h) be the first derivative of o(h). Factor z(b).
3*(b + 1)**2/2
Let f(l) be the first derivative of 4 + 0*l**2 + 1/20*l**5 + 0*l - 1/16*l**4 - 1/6*l**3. Solve f(m) = 0 for m.
-1, 0, 2
Factor -9/2*d + 6 - 21/2*d**2.
-3*(d + 1)*(7*d - 4)/2
Let m(a) be the third derivative of a**9/3024 - a**7/840 - 2*a**3/3 - a**2. Let z(q) be the first derivative of m(q). Factor z(d).
d**3*(d - 1)*(d + 1)
Let d(r) be the third derivative of r**7/3360 + r**6/720 - r**3/6 - 2*r**2. Let c(b) be the first derivative of d(b). Solve c(w) = 0.
-2, 0
Suppose -m - 4 = 0, -4*m - 61 = -i - 4*i. Let o be (-8)/(-3) - 6/i. Factor d**2 - 2*d**o - 2*d**3 + 2*d + d**2.
-2*d*(d - 1)*(d + 1)
Let i = 5083/7 - 725. Let q be (-24)/(-14) - (-1 - -1). Let -2/7*y**4 - i*y - 8/7*y**3 - 2/7 - q*y**2 = 0. What is y?
-1
Factor 4*b**2 + b - 8*b - 6*b + 12 - 3*b.
4*(b - 3)*(b - 1)
Let b be 8/(-10)*(-95)/38. Factor 0 - l**4 - 2*l**b + 5/2*l**3 + 1/2*l.
-l*(l - 1)**2*(2*l - 1)/2
Factor 0 - 4*u**2 - 2*u - 3/2*u**3.
-u*(u + 2)*(3*u + 2)/2
Let m(u) be the first derivative of 3 + 1/20*u**5 + 5/8*u**2 - 1/4*u**3 - 1/2*u - 1/16*u**4. Factor m(i).
(i - 1)**3*(i + 2)/4
Suppose -4 = 11*c - 59. Let m(f) be the second derivative of -1/35*f**7 + 0 - 27/100*f**c + 0*f**2 + 1/4*f**4 + 3*f - 1/10*f**3 + 7/50*f**6. Factor m(n).
-3*n*(n - 1)**3*(2*n - 1)/5
Let y = -9 + 12. Determine s, given that -2*s**4 - 9*s**3 - 3*s - 9*s**2 - y*s**4 + 2*s**4 = 0.
-1, 0
Factor 3/4*o - 3/4*o**3 - 3/4*o**4 + 3/4*o**2 + 0.
-3*o*(o - 1)*(o + 1)**2/4
Suppose -15*k = -16*k. Find n, given that k*n - 2/5*n**2 + 2/5 = 0.
-1, 1
Suppose 4*z - o = 6, -2 = -2*z + 3*o - 2*o. Find i, given that i**4 + 3*i**3 + i**4 - 3*i**3 - z*i**2 = 0.
-1, 0, 1
Let d(f) = -f + 4. Let t be d(6). Let n be t + (-13 + 1)/(-3). Find z such that n + 2*z**2 + 0 - 4*z**2 = 0.
-1, 1
Let i(v) be the third derivative of v**7/280 - 3*v**6/160 + v**5/80 + 3*v**4/32 - v**3/4 - 18*v**2. Factor i(s).
3*(s - 2)*(s - 1)**2*(s + 1)/4
Let m be 1 - (2/(-8) - (-30)/(-8)). What is j in 8/3*j**2 - 6*j**4 + 0*j - 9*j**m + 0 + 4*j**3 = 0?
-2/3, 0, 2/3
Let -3/2*y + 0*y**2 + 0 + 0*y**4 - 3/2*y**5 + 3*y**3 = 0. What is y?
-1, 0, 1
Let n = -16/5 + 18/5. Find z such that -4/5*z**3 - n*z**2 - 2/5*z**4 + 0*z + 0 = 0.
-1, 0
Let m(a) = -a**3 - a**2 - a - 10. Let b be m(0). Let k be -2 + (-1 - b - 2). Suppose -k*d - d**3 - 2 - 4*d**2 - d**3 + d**3 = 0. What is d?
-2, -1
Let z be 74/24 + -6 + 3. Let k(h) be the first derivative of -1/4*h + z*h**3 - 2 + 0*h**2. What is n in k(n) = 0?
-1, 1
Let q(o) = 2 - 26*o - 12 + 23*o. Let w be q(-8). Determine g so that 2*g + g**5 + 7*g**2 - 3*g**3 - w*g**2 - 5*g**4 + 12*g**3 = 0.
0, 1, 2
Let a = 5 + 27. Let u be (-19)/(-40) + 4/a. Factor -3/5*d**2 - 3/5*d**3 + 0 + 3/5*d**5 + 0*d + u*d**4.
3*d**2*(d - 1)*(d + 1)**2/5
Suppose r = -2*r. Let t(g) be the first derivative of 2/15*g**3 + r*g**2 - 2/5*g - 2. Determine a so that
|
{
"pile_set_name": "DM Mathematics"
}
|
= -48*a - 38. Let u be b(-1). Solve 5*y = u, -4*y = 2*o + 3 - 13 for o.
1
Let t be ((-1)/2)/((-44)/264). Solve 9*p + 27 = 4*p + l, -t*p - 5*l = 5 for p.
-5
Let v be (-30)/60 - (-10)/4. Suppose -5*i - k = -6, 0 = -i - v*k - 3*k - 18. Solve -p + i + 2 = -5*n, -5*n = 2*p - 8 for n.
0
Let m be 2*-2*(-18 - -16). Suppose -m = c - 5*c. Suppose 3*b + 2*i + 19 = 4*b, 0 = 5*b - 4*i - 65. Solve 3*z - 1 = -h - 6, 5*z + b = -c*h for z.
-1
Let a = -26 + 39. Let s = a - 12. Let y = -8 - -10. Solve s = -l + y*h, 4*h - 3 = -l - 10 for l.
-3
Let a(s) be the second derivative of -s**5/20 + 5*s**4/12 + s**3 + 24*s. Let h be a(6). Solve h = q - 1, 3*d + 2 + 3 = 2*q for d.
-1
Let u(x) = x**2 - x - 1. Let s(f) = -17*f + 35. Let g(c) = s(c) + u(c). Let p be g(16). Solve 3*o + 5 = -4*j - p*o, 2*j - 2*o = -16 for j.
-5
Suppose -3*u = -5*u + 4. Suppose 18*g = 5*g + 65. Solve 3*b - 5*m - 1 = g, -4 = -u*b + 5*m for b.
2
Suppose 5*s - s = 96. Let i be ((-42)/63)/((-1)/s). Solve -4*h + 3*a = -a - i, a + 6 = -h for h.
-1
Suppose t = 12 - 11. Let o be (-45)/35 + t - (-60)/14. Solve o*n + 20 = -4*k, -2*n + 3*n - 20 = 4*k for k.
-5
Suppose b - 18 + 2 = 0. Suppose 10*a - b*a + 36 = 0. Solve 0 = -2*k - 6, -a*v + 2*v - 24 = 4*k for v.
-3
Let b(v) = v**2 - 28*v - 55. Let n be b(30). Solve n*g - 19 = p, 2*p + g + 4 = -1 for p.
-4
Let l = -882 + 887. Let f be (4/(-2) - -2)/(-2). Suppose -5*q + 141 = -c - 3*c, f = -4*q + 2*c + 108. Solve q = -4*n + k, -l*n + n - 35 = -3*k for n.
-5
Let x(q) = -q**2 + 17*q + 113. Let f be x(22). Solve -5*l = -2*h - 2 - 9, -f*h + 4*l = 6 for h.
2
Let r(l) = 17*l - 119. Let v be r(8). Solve 4*c + 5*h = 4*h - 3, c - 3*h = -v for c.
-2
Suppose -2*r + r = 0. Suppose r*x + 18 = x. Let c = 31 - x. Solve v - 2 = 5*b + c, -v = 5*b + 25 for v.
-5
Suppose 0 = -3*g - 9, -23*b = -19*b + 3*g - 3. Solve 0 = b*y + 3*o + 10 + 2, -2*o - 6 = 0 for y.
-1
Suppose -5*b + 20 = -4*b. Solve -4*x = b - 8, 3*x + 9 = 2*d for d.
0
Let r = 108 + -106. Solve -r*a - k - 15 = 2*a, k = 4*a + 17 for a.
-4
Let u(c) = -c + 7. Let j be (-15 + 0)/5*(-4)/6. Let r be u(j). Solve 0 = 3*d - r*d, g + 2 = -2*d for g.
-2
Let f(b) = 3*b**2 + b - 3. Let m be f(3). Solve -4*z - 14 = 3*u, 5*z = -u + 2*u - m for z.
-5
Let m = 56 + -51. Suppose 12 = 4*k - 5*o, 3*k - m*o = -2*o + 9. Solve -3*q - 4 = -4*q - t, k*t = 0 for q.
4
Let y be (-56)/(-24) + (-2 - (-10)/6). Solve 0*u = -3*u + 2*w - 4, -u + y*w = 8 for u.
2
Suppose 42 = -14*m + 28*m. Solve 3*b = -3*g + 5*g - m, -3*b = g - 6 for g.
3
Let q(g) = 20*g**2 - g - 1. Suppose -11 = 6*p - 17. Let x be q(p). Solve 4*b - 3*f = -f + 20, x = 2*b - 3*f for b.
3
Suppose -5*j - 5*b + 25 = 0, 2*j - b - 4 = 6. Let x = j - 5. Suppose -4*t + v + 12 = 0, v + 20 = t + 5*v. Solve x = 3*h - 5*h + 2, 2*h = -t*y + 6 for y.
1
Let q be 290/(-15) + (-2)/(-6). Let h = q - -22. Solve -h*w - w + 2*c = 26, -w + 21 = 5*c for w.
-4
Let q(u) = -u**2 - 9*u + 5. Let s be q(-9). Solve -c - 4*c = s*w + 5, 3*w + 3 = -2*c for c.
0
Suppose -52*r - 44 + 148 = 0. Solve -r*i - 8 = -0*c + 4*c, 0 = -3*i + 3*c - 12 for i.
-4
Let n = -8 + 3. Let q = -2 - n. Suppose q - 2 = m. Solve -r + m = -2*l - 0*r, 0 = -l + r - 1 for l.
0
Suppose -4*q = -8*q. Suppose 0*f + f - 2 = q. Solve 5*x - f*j + 35 = 0, -6 = -x + 4*j - 31 for x.
-5
Let u = -26 - -19. Let y = 10 + u. Solve 0 = 2*v + 4*o + 10, -1 = 5*v - 5*o + y*o for v.
-1
Let f(j) = -j - 9. Let u be f(-12). Let m(s) = -2 - u*s**2 - 7*s + 2*s + s**3 + 5*s**2. Let i be m(-3). Solve 3*k - 4*v = -5, v + i + 6 = -3*k for k.
-3
Suppose 5*t + 5 = 0, -k = -0*k - 4*t - 16. Suppose -3*a + 19 = 5*q, 3*a + 2*q - 1 = 4*a. Suppose -2*s = -a - 5. Solve 4*h = z - 4*z, 0 = -s*h - k for z.
4
Let a = 96 + -50. Let n be -43*(-2)/4 - a/92. Solve -f - n = -7*o + 3*o, -2*f - 2 = 0 for o.
5
Let q = 70 + -66. Solve -r - 4*s + 11 = 0, q + 7 = 4*r + 5*s for r.
-1
Let a be 1 + ((-4)/32 - 50/(-16)). Solve 4*x + a = 4*d, 6*x + 5*d + 45 = x for x.
-5
Let s(t) = 2*t**3 + 7*t**2 + 19*t + 57. Let z be s(-3). Solve -3*c - 5*j - 19 = -z*j, c - 2*j = -7 for c.
-5
Suppose -31 = 2*m - 7. Let t = -24 - m. Let f be -6*(t/(-8) + -2). Solve -3*b - r - f = 0, 2*r + 2 = -3*b - 1 for b.
-1
Let z = -13 + 29. Let m(c) = -z - c + 0*c + 8. Let h be m(-12). Solve 2*w - 5*f + 21 = 0, -3*f + 4*f = h*w + 15 for w.
-3
Let n(f) = f**2 - 4*f + 0*f**2 - 9*f + 11 - 3. Let v be n(15). Let z = 60 - v. Solve 5*x - 6 = -w, -3*w + 5*x - z = -0*x for w.
-4
Let f(m) be the third derivative of -m**6/120 + m**4/8 - m**3 + 8*m**2. Let x be f(-3). Solve -3*h = 5*t, -t - 4*h - x = -h for t.
3
Suppose -92 = -3*s - 62. Solve 2*z = 2*y - 7*y + s, -5*y = z - 5 for z.
5
Let l = -38 + 51. Solve 3*j = 4*x + j + 2, -2*x + 5*j - l = 0 for x.
1
Suppose -4*z = -3*z - 2. Let a be -1*z*(45/(-10) - -3). Let u(d) = -d**2 - 5*d - 1. Let q be u(-4). Solve q*y + 3*m = a, 4*m + 2 + 4 = y for y.
2
Suppose -g - 5*o + 5 = 0, -5*o + 10*o - 5 = g. Solve 20 = -4*w, g*w - w = -f + 8 for f.
3
Suppose 0 = v - 9 + 1. Let z(o) be the third derivative of -o**4/24 + 2*o**3 - 8*o**2. Let k be z(7). Solve -k*d = -3*t - 9, d + 7 = v*t - 3*t for t.
2
Let i be 2/(-2*(-1)/(-8)). Let q(v) = v**2 + 7*v + 1. Let w be q(i). Let u be (1 - 0)*(w + -5). Solve -2 = 2*t - u*r, -3*t + r + 4 = 2*r for t.
1
Let b(t) = -2*t**3 - 45*t**2 - 23*t - 22. Let u be b(-22). Let j be (-7)/(14/4) - -7. Solve u = n - 5*a + 11, 5*a - 14 + j = -n for n.
-1
Let w(z) = -z**3 - z**2 - z + 6. Let a = 1 - 1. Let c be w(a). Suppose t - c = -1. Solve -4*k = t*u - 4, -3*u - 5 = 5*k + 3 for u.
4
Suppose h + 2 - 11 = -2*v, -7*h + 27 = 5*v. Solve 5*d + a = 5*a - h, 5*a - 11 = 3*d for d.
3
Let o(w) = -w**3 + 15*w**2 + 13*w + 17. Let t be o(16). Let c = 31 + t. Solve 0 = 2*k - 2 - 4, c = 2*d + k - 11 for d.
4
Let i(q) = -q**3 + 3*q**2 + 2*q + 3. Let f be i(3). Let d be f*2*(-1)/(-2). Let y be 2/9 + 16/d. Solve -y*t - v - 5 = 0, -t - 3 = -2*v + 2 for t.
-3
Suppose 81*p = 68*p + 52. Suppose 2*c + 0 = -4*f + 4, 2*c - 4*f = 12. Solve -c*m = -p*j, 2*m + 3*m = 2*j + 15 for j.
5
Let v(y) = 2*y**3 - 24*y**2 + 37*y - 165. Let k be v(11). Let c be ((-6)/(-4))/((-6)/(-8)). Solve 5*h - g - 11 = k, -c - 6 = -4*h + g for h.
3
Suppose 78*l = 81*l - 9. Solve -5*h = o + l - 4, -h + 5 = -o for h.
1
Let u(b) = b**3 - 7*b**2 + 42*b - 212. Let m be u(6). Solve s - 11 = 5*f, 2*f - 3*s = -m*s - 10 for f.
-3
Suppose 6*g - 2*g - 16 = 0. Let h be (2/g)/(5/30). Let d = -108 + 129. Solve -2*c + d = h*a, -4*a - 1 + 24 = c for a.
5
Let a(u) = u**3 - 6*u**2 + 3. Suppose -2*m + 18 = m. Let q be a(m). Let n = -128 + 130. Solve 0 = 2*s + o - 3, -q*o + 29 = -4*s + n*o for s.
-1
Let f(n) = n**2 + 2*n - 4. Let i(b) = -b**2 - 16*b - 13. Let x be i(-15). Let y be f(x). Solve -4*p - 18 = 4*l - 54, -y*l + 8 = -3*p for p.
4
Let u = -50 + 66. Suppose -5*v + 4*d + 6 = 0, v - 15 + u = 3*d. Solve -4*b + 3*y + 28 = 0, 0 = 4*b - v*b - y - 12 for b.
4
Let a(y) = -2*y - 2. Suppose 0 = 3*s + s - 16. Suppose s = 4*w + 20. Let d be a(w). Solve -3*v - 19 = 5*x, -2 = -3*v - 2*x - d for v.
2
Let a(y) = -50*y + 55. Let x be a(1). Solve c + 2*t = 1, -10*t - x = -5*c - 8*t for c.
1
Let o = 46 + -6. Let a = 43 - o. Solve 0 = -d - 3*f - 5, 0 = a*d - 7*d - 2*f for d.
1
Let y(q) = -19*q + 103. Let x be y(5). Solve 0 = 4*s - 3*s + i - 2, -x = -s + i for s.
5
Let p = -16 - -21. Let c(q) = -2*q - 7 - 2*q + p*q. Let y be c(11). Solve -3*h - 2*h = -y*i - 12, -4*i - h = 12 for i.
-3
Suppose 7*g = 5*g + 10. Suppose -n + 55 = 10*n. Solve 0*z - n*o = -z + 24, g*z = o for z.
-1
Let c = 26 - 17. Let x = 11 - c. Suppose 0 - x = -g. Solve -t - g*i = t, 2 = -2*t - i for t.
-2
Let c = 24 - 21. Suppose d - 9 = -o, -c*d - 2*o + 26 = 4. Solve 4*x - 4*u - 8 = 0, -d*u = -2*x + u + 16 for x.
-2
Suppose -2*f = -8*n + 7*n - 19, -3*f = -3*n - 21. Solve -2*m + 3*j - f = 7*j, -2*m + 3*j + 16 = 0 for m.
2
Let a = -2 + 2. Suppose 33*w - 249 + 150 = 0. Solve 4*x + w*p + 9 = a, -5*x + 5*p - p - 19 = 0 for x.
-3
Let f(c) = 16*c + 117. Let o be f(-7). Solve -v + 5 = -o*y - 1, -24 = 2*y + 5*v for y.
-2
Let k(n) = -n**2 + 8*n - 15 - 7*n - 10*n. Let x be k(-6). Solve 5*g - 3*f = -8, x*g + 7 = -2*g + 2*f for g.
-1
Let p(k) = k**2 + 6*k + 5. Let n be p(-5). Let t(c) = -23*c - 90. Let q be t(-4). Suppose n*j = j - q. Solve r - j*r = -5*g - 12, 4*r = 4*g + 16 for g.
-2
Suppose -47*p + 52*p - 15
|
{
"pile_set_name": "DM Mathematics"
}
|
3)?
False
Let k = -16 + 31. Suppose r - 5 = k. Is 6/10 - (-968)/r a multiple of 15?
False
Let j = 52 + -45. Suppose 0 = j*r - 684 - 828. Is r a multiple of 12?
True
Let q = 86 + 596. Is q a multiple of 62?
True
Is (3 - 66/42)/(4/5614) a multiple of 34?
False
Let v(y) = -10*y + 224. Does 6 divide v(6)?
False
Suppose 3771*j - 3776*j = -1080. Is j a multiple of 18?
True
Suppose 2746 - 506 = 8*g. Does 28 divide g?
True
Let s be (-6)/(8/(-12)*3) + -72. Let d = 108 + s. Does 21 divide d?
False
Let m(w) = -w**2 - 29*w - 94. Let c be m(-25). Let b = -158 + 226. Let j = b - c. Does 21 divide j?
False
Suppose 6*n = 4*n - 2. Let m(f) = 3*f**2 + 2*f + 1. Let q be m(n). Suppose q*w - 126 = -w. Does 21 divide w?
True
Let z(d) = 2*d + 30. Let o be z(-14). Suppose -o*y + 57 = 1. Does 28 divide y?
True
Let z(y) = y**3 - 6*y**2 - 2*y + 17. Let i be z(6). Suppose -3*o + 6*o = -2*q + 14, q + 45 = i*o. Is 2 a factor of o?
True
Let n(a) = -8*a - 28. Let x(m) = 25*m + 85. Let t(r) = -8*n(r) - 3*x(r). Does 5 divide t(-6)?
True
Let w(o) = -o**2 + 19*o - 24. Is w(15) even?
True
Suppose -266 = -10*z + 394. Does 11 divide z?
True
Let m(w) = -60*w - 89. Does 9 divide m(-5)?
False
Let p = 2 + 6. Let x(f) = 3*f + 10*f**2 - p*f**2 + 5*f + 2. Is x(-7) a multiple of 11?
True
Let y = 147 - 144. Suppose y*h - 172 = 248. Is h a multiple of 25?
False
Suppose 0 = -0*c + 5*c + 1590. Let o = c + 202. Let z = o - -164. Is 13 a factor of z?
False
Let i = 1474 + -890. Is 8 a factor of i?
True
Let w = -91 + 131. Is 8 a factor of w?
True
Let m(h) = 5*h**2 - 8*h. Suppose x - 12 = 3*x. Let q(s) = 9*s**2 - 15*s. Let t(c) = x*q(c) + 11*m(c). Is t(-7) a multiple of 11?
False
Suppose 34*t = 37*t - 15. Suppose 188 = -w + t*w. Is w a multiple of 9?
False
Let r(b) = -b**3 - 8*b**2 - 7*b + 6. Let y(q) = -q**3 + 2*q**2 - q + 5. Let k be y(3). Let t be r(k). Is 11 a factor of (-1)/(-3) + 262/t?
True
Let l(i) = -i**3 + 9*i**2 - 6*i + 4. Suppose -10*x = -6*x - 12. Let h be (-7 + x)/(-16)*28. Is l(h) a multiple of 20?
True
Does 16 divide (-11)/((-330)/7695) + 1/(-2)?
True
Suppose -k - 4*k + 2075 = 5*o, 2*o = k + 830. Suppose o = 3*m - 4*t, -t + 143 = m - 0. Is m a multiple of 30?
False
Let z(l) be the first derivative of l**6/360 + l**5/12 + 3*l**4/8 - l**3/3 - 5. Let k(y) be the third derivative of z(y). Is 8 a factor of k(-10)?
False
Let j = 6 + -3. Suppose 0 = -10*k + 15*k. Suppose q + 0*q - j = k. Is 3 a factor of q?
True
Let j(k) = 5*k + 10. Let x be j(-5). Does 11 divide ((-176)/(-10))/((-3)/x)?
True
Is ((-72)/(-10))/(14/35) a multiple of 2?
True
Suppose 2*x - 4 = 3*p + 13, 0 = -2*x - 3*p + 47. Suppose x*q = 11*q. Suppose 0 = v - 5*h - 1, h + 21 = v - q*h. Does 11 divide v?
False
Let d(l) = -8*l + 3. Let s be (-20)/6 + 46/(-69). Is 7 a factor of d(s)?
True
Let s = -235 - -261. Is s a multiple of 26?
True
Let i = -11 - -7. Let t(u) = u**2 + u - 2. Let l be t(3). Is 2 a factor of ((-30)/25)/(i/l)?
False
Let h be (5 - (-3 - -9))*(-141 + 0). Suppose 5*o = -2*b + h, 0 = b + 2*o - 60 - 9. Is 21 a factor of b?
True
Let c(m) = 2*m**3 + 20*m**2 - 2*m + 8. Let z(h) = h**3 + 10*h**2 - h + 4. Let x(j) = -6*c(j) + 13*z(j). Does 15 divide x(-6)?
False
Does 18 divide (-4)/18 - 16460/(-36)?
False
Let t be (29/(-3))/((-6)/18). Suppose 4*l - t = 39. Is 5 a factor of l?
False
Does 3 divide ((-5)/20)/((-37)/199652)?
False
Let i be 1 - (1/(-1) - -2). Suppose -5*y + i*y = -430. Is 6/27 + y/18 even?
False
Let k = -1735 - -1122. Let r = k - -906. Suppose 7*p = 1 + r. Is 22 a factor of p?
False
Suppose 4*c + 180 = -4*i, -i + 2*c - 60 = -0*i. Let b = i + 62. Is b even?
True
Suppose -20 = g - 6*g. Let c be (g - 1 - -48)*-1. Let a = 83 + c. Is 12 a factor of a?
False
Let l = 55 + -51. Suppose z - 2*w - 14 = 0, 0 = 4*z - l*w + 41 - 113. Is 3 a factor of z?
False
Let j(n) = -3*n + 2. Let i be j(-8). Suppose -l = l + i. Let z = l - -20. Does 4 divide z?
False
Let w = 397 - 192. Suppose -204*z - 26 = -w*z. Does 13 divide z?
True
Let f(x) = x**3 - 1 - 5*x**2 + 10 - 2*x**2 - 5*x. Let j be f(8). Is 29 a factor of 963/33 + (-6)/j?
True
Suppose 6*s + 8 - 128 = 0. Suppose 1844 = -s*b + 4784. Is b a multiple of 7?
True
Let o be 4 + (1 + -2)*1. Suppose 4*x - 5*x - 2*c = -18, 4*c - 44 = -o*x. Does 2 divide x?
True
Is (28/(-56))/((-51322)/(-17108) + -3) a multiple of 28?
False
Suppose -2*w + 6*w - 32 = 0. Suppose -105 = w*u - 11*u. Does 12 divide u?
False
Suppose 3*o - 6 - 3 = 0. Suppose 6*g - 51 = o*g. Suppose g = i - 10. Is i a multiple of 13?
False
Let b(x) = -2*x - 45. Let m be b(-24). Is 0 + 1/m + 624/18 a multiple of 5?
True
Suppose -3*h = -79 + 244. Let x = h - -86. Let s = x - 15. Is 6 a factor of s?
False
Let q be 44/(-33)*(-3)/(-2). Let x be (-2)/(-2)*(-119 - q). Is 6 a factor of ((-4)/12)/(3/x)?
False
Suppose -3*g = -6*g - 153. Let q = -19 - g. Suppose -c + 12 + 26 = 3*a, -3*a = -2*c - q. Does 12 divide a?
True
Suppose -21040 = -33*h + 13*h. Does 55 divide h?
False
Let s = 12 + -21. Let j = s - -12. Suppose -2*h + 74 = 2*p, 0 = j*p - h - 111 - 16. Does 11 divide p?
False
Let r = -1524 + 1566. Is r a multiple of 42?
True
Let a(f) = -163*f + 1. Let n be a(-1). Suppose -n = -4*t + 260. Does 15 divide t/6*(-6)/(-2)?
False
Suppose -2*n + m = -0*n + 300, 4*m - 445 = 3*n. Let c(f) = 10*f**2 + 4*f - 7. Let t be c(5). Let b = n + t. Does 33 divide b?
False
Let m = -55 + 29. Let d = 0 - m. Does 25 divide d?
False
Suppose -4*j - 2*v + 133 = -977, -3*j + 2*v + 822 = 0. Does 6 divide j?
True
Let y(j) = -2*j**3 + 6*j**2 + 3. Let o be y(3). Let s(h) = h**2 + 5*h + 4. Let n be s(-4). Suppose 5*w - o*w - 138 = n. Is w a multiple of 17?
False
Is (10074/24)/1 - 1/(-4) a multiple of 20?
True
Suppose -3*t + 6 = 2*k - 5*t, -k + 4*t + 18 = 0. Let h be k/(-3)*(-30)/20. Is 48/(-16)*h*11 a multiple of 5?
False
Suppose 32 - 522 = -3*q + 2*x, 810 = 5*q - 2*x. Is q a multiple of 8?
True
Let k(j) = -99*j - 78. Let f(u) = -496*u - 392. Let r(y) = -3*f(y) + 16*k(y). Is 51 a factor of r(-5)?
True
Suppose 0 = -2*g - 4*o + 30, -2*o + 0 = 6. Suppose 4*y + g = 5. Let s(t) = -t**2 - 5*t - 1. Is s(y) a multiple of 3?
True
Let j be -94*(3 + 3 + -5)/1. Let s = 156 + j. Is s a multiple of 10?
False
Let m = -19 - -28. Let y be (4 + (-20)/6)*m. Suppose -v + 0*v = -y. Is v a multiple of 2?
True
Let c(u) = 5*u - 14. Let l(t) = -2*t + 7. Let f(i) = 4*c(i) + 9*l(i). Let r be f(4). Suppose -4*b + 75 - r = 0. Is b a multiple of 12?
False
Let a(i) = i**2 - 12*i - 18. Let b be a(16). Let m = 82 - b. Is 18 a factor of m?
True
Suppose 3*y + 21*r - 584 = 16*r, y = -4*r + 190. Is y a multiple of 6?
True
Suppose -6*l = -9*l + 210. Suppose -23*f + l = -22*f. Let n = 142 - f. Does 18 divide n?
True
Let k(l) = -2*l**2 - 24*l + 44. Is 5 a factor of k(-12)?
False
Let x = -7 - -28. Let g(i) = -i**3 - 11*i**2 - 12*i - 15. Let s be g(-10). Let r = x - s. Is r a multiple of 4?
True
Let n = -120 + 218. Does 7 divide n?
True
Suppose 2*y - 142 = -0*y. Let l = -33 + 143. Let f = l - y. Is 8 a factor of f?
False
Suppose 78*v = 54*v + 5808. Is v a multiple of 7?
False
Let r(n) = -12*n - 1. Let x(q) = -11*q. Let j(m) = -2*r(m) + 3*x(m). Let b(k) = 8*k - 2. Let d(h) = 6*b(h) + 5*j(h). Is 6 a factor of d(9)?
False
Suppose -5*i = -3*p + 2*p + 83, i + 5*p + 1 = 0. Let y be (i/28)/(6/(-21)). Is 16 a factor of 0 + 1 + y + 36?
False
Let f(x) = x**2 + 22*x - 117. Is f(17) a multiple of 14?
True
Let g(x) = -189*x**3 + x + 2. Does 20 divide g(-1)?
False
Let o(h) = -2*h**2 - 8*h - 3. Let r be o(-3). Does 8 divide 5/5 + r + 17?
False
Suppose 0 = u - 4*n - 77, -3*u + 214 = 3*n + 2*n. Suppose -5*o = -6*o + u. Does 25 divide o?
False
Let t = 208 - 85. Suppose 2*j - t - 29 = 0. Does 19 divide j?
True
Let v = 1223 - 1106. Is 8 a factor of v?
False
Does 16 divide 1823 + (-1 - -7) + (-45 - -40)?
True
Let t = 42 - 37. Suppose -t*v - 2*i + 178 = -112, -115 = -2*v - i. Does 5 divide v?
True
Let y be 2/13 + (-2338)/(-13). Does 4 divide 1 + (y/(-3))/(-3)?
False
Suppose v + 15 = 2*z, 3*v + 5*z - 1 - 9 = 0. Let a = v - -7. Suppose 4*g + 0 = -5*w + 8, 4*w - 4 = -a*g. Does 2 divide g?
True
Let y = -441 + 752. Is y a multiple of 18?
False
Let f(z) = -z**3 + 6*z**2 + 4*z - 3. Let w be f(-3). Is 14 a factor of (2 - w/15)*-20?
False
Suppose 48*f - 1663 - 4673 = 0. Is 22 a factor of f?
True
Let y = 48 + -25. Suppose 0*l - 3*r
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the nearest to v? (a) -3/7 (b) 1/8 (c) 3
b
Let q be 2/20 - 0/1. Let m = -358/9 + 40. What is the closest to -1 in q, m, 0.2?
q
Let f = 7 - 8. Let d be 1 - f - (-6)/(-4). Let q = 0 - -4. Which is the nearest to -1? (a) d (b) q (c) -0.5
c
Let q = -69 + 45. Let g = q - -22. Let p = -1265/2919 + 2/417. What is the nearest to -2 in p, g, 1?
g
Let r be 12/28*(-2)/(-3). Let v = -6 + 33/5. Which is the closest to r? (a) v (b) -0.02 (c) -4
b
Let d = 2562/1595 + -2/319. Let k = 2 - d. Which is the nearest to -2/3? (a) 1 (b) k (c) 2
b
Let s = -20/21 + 2/3. Let f = 0.05 - 4.05. Which is the closest to s? (a) -1/4 (b) f (c) -2
a
Let d = -0.3 - 0.7. Let u be 1*(-15)/(0 + -3). Suppose 25 = -u*w - 0*w. Which is the closest to 0? (a) d (b) -3 (c) w
a
Let v = -5/2 - -2. Let o = -1/6 - 1/2. What is the closest to v in -0.5, o, 0.2?
-0.5
Let l = 283/4 - 71. What is the nearest to -6 in l, 0, 0.2?
l
Let f = 14.5 - 14. Which is the nearest to 4? (a) -1/4 (b) -3 (c) f
c
Let d = 3/208 + -35/208. Which is the nearest to -1? (a) -2 (b) d (c) -1/4
c
Let d = 0.02 + 0.08. Let q = -2.9 - d. Which is the nearest to -1? (a) 0.2 (b) q (c) 4
a
Let k = -2.17 - -2.1. Let t = k + -0.13. Which is the nearest to 1/4? (a) t (b) 0.3 (c) -2
b
Let f = -136.9 - -129. Let d = f - -8. What is the nearest to d in 0.3, 4, -4?
0.3
Let k = 8 + -4. Let i = 2.05 + -0.05. Which is the nearest to 0? (a) k (b) i (c) -0.4
c
Let k(l) = l**3 + 12*l**2 + 11*l + 1. Let m be k(-11). What is the closest to m in 1, -3, -2/9?
1
Let f = 1.21 - 3.21. What is the nearest to -1/3 in -2/7, 1/3, f?
-2/7
Let o = 0.9 - -0.1. Suppose -45 = 7*g - 4*g. Let h(z) = z + 17. Let t be h(g). Which is the closest to 1? (a) o (b) 4 (c) t
a
Let f be -2*(5/12)/(-5). Let z(w) = w**2 + w + 1. Let r be z(-2). Suppose h + 29 = 5*y, h - r*h - 2*y = -2. Which is the nearest to 0.1? (a) f (b) h (c) -1/6
a
Let z be 3/7*-2 - 0. Let r = z + 4/21. Which is the closest to -1? (a) r (b) 4 (c) 3
a
Let m = -21 + 25. Which is the closest to -1/4? (a) 5 (b) m (c) 0.1
c
Let n be 2 - (1 + 0)/1. Let w be (-7)/(-12) + n/(-3). Which is the closest to 0.1? (a) 2 (b) w (c) 4
b
Let q = 1 + -0.6. Let s be 5/((-70)/32) + 2. What is the closest to 2 in -0.4, q, s?
q
Let t = 30 - 47. Let w = t + 12. What is the closest to 0.2 in w, -6/7, 5/6?
5/6
Let u = -0.36 + 0.06. Let f(y) = y**3 - 3*y**2 - 5*y + 4. Let n be f(4). Which is the nearest to -1? (a) -0.1 (b) n (c) u
c
Let x be (-5 + 360/66)*2/5. Let n = -0.6 - -0.2. What is the nearest to x in -0.1, -1/2, n?
-0.1
Let u = -29 - -25. Which is the nearest to -1? (a) -1/3 (b) 0.3 (c) u
a
Let f = -37 + 36.5. Let m = 1165/7657 - -1/589. Which is the closest to 1? (a) m (b) -4 (c) f
a
Let h = -74 + 293/4. What is the closest to 0.1 in h, -0.4, 0.3?
0.3
Let l = 0.02 - -0.08. Which is the closest to l? (a) -3 (b) 2 (c) -0.2
c
Let i = 3.96 + 0.04. Let k = 0.6 + -0.3. Let t = 0.2 - k. What is the nearest to t in 0.3, 1, i?
0.3
Let p = -5.3 + 5. Let o = -3 - -8. Suppose -5*m + 19 = -3*v, -m + 4 = o*v - 11. What is the closest to 3 in m, p, -2/9?
m
Let u be (-3 + (-22)/(-6))*-3. Let n be (u/36)/1*-2. Which is the nearest to 2/3? (a) 2 (b) n (c) -2
b
Suppose 4*v - 28 = 76. Let r be -2 + 3 + (-30)/v. Which is the nearest to 1? (a) -0.03 (b) 5 (c) r
a
Let i = -1304/7 + 186. What is the closest to -0.1 in 2, i, -1/10?
-1/10
Let g be 34/9 - ((-12)/54 - 0). Which is the nearest to -0.2? (a) g (b) -2 (c) 8
b
Let r = 3 - 5. Let n = r + 3. Let k = -11.79 - -11.29. Which is the closest to -2? (a) n (b) k (c) -0.4
b
Let l = -41 - -41.1. Which is the closest to l? (a) 2/7 (b) -7 (c) 3
a
Let j = 58 + -55. Let v be (-4)/(-6) + 5/(-15). Which is the closest to v? (a) 0.3 (b) 0 (c) j
a
Let j = 13.7 - 14. What is the nearest to 2/7 in -0.5, 5, j?
j
Let a be (3/15)/((-8)/10). Let g be (-4 - -2)/(-2)*7. Let l be 10/g - (0 - -1). What is the closest to -1 in a, -5, l?
a
Let o = 89/7 - 13. What is the closest to 1/4 in o, -1/4, -1?
-1/4
Suppose -3*p + 48 = 12. Suppose 0*u - 4*u = p, -r + 14 = -4*u. Which is the closest to 0.1? (a) r (b) -1/4 (c) 0.4
c
Let h be ((-3)/(-10))/(3 + (-5)/2). Which is the closest to 0.1? (a) 4 (b) h (c) 2/3
b
Let z = -0.1 + 0.04. Let y = z - -0.06. Let l = 13 - 9. Which is the nearest to y? (a) -3 (b) -5 (c) l
a
Let a(b) = -b**2 - b + 3. Let p be a(-3). Let v = 0.1 - 0.1. Let l = 0.2 + -0.1. What is the nearest to l in v, -1, p?
v
Let u = -0.2 - -0.2. Let s = -13 + 9. Let i = -7 - s. What is the nearest to u in 3/2, i, -2/7?
-2/7
Suppose -2*p + 5*m + 3 = 18, 2*p + 2*m - 6 = 0. Suppose -5*x - 10 = -2*t + 7, 0 = -5*x - 2*t - 33. Which is the closest to 1/3? (a) p (b) 0.3 (c) x
b
Let i = -8.97 - 0.03. Let b = i + 11. Let h = -0.2 - 0.3. What is the nearest to 0.1 in -5, h, b?
h
Let o = 1.7 + 0.3. Let t = -17 + 16.88. Let z = 0.08 - t. What is the closest to z in o, -3, 2/7?
2/7
Let i = 0.05 + -0.05. Let y = 36 - 32. What is the nearest to i in -0.2, y, 3/5?
-0.2
Let q(a) = -23*a + 1. Let p be q(7). Let t = p + 1122/7. What is the closest to -0.1 in 0.2, t, 4?
0.2
Let p = 0.74 + 14.26. What is the nearest to -1 in 0.4, -2/7, p?
-2/7
Let b = -35 + 31. What is the nearest to -1/3 in 0.3, b, -3/7?
-3/7
Let h = -1.9 - -2. Let d(i) = -i**2 - i - 138. Let l be d(0). Let t = l - -968/7. Which is the closest to h? (a) t (b) -0.5 (c) 2
a
Let z = -54 - -55. Let r(h) = -h**2 - 4*h - 2. Let j be r(-4). Which is the nearest to -0.2? (a) -4 (b) z (c) j
b
Let l(r) = 2*r**2 - r - 2. Let u be l(-2). Suppose -5*z + 33 - u = 0. Let g be (-26)/70 + 5/(-25). What is the closest to -1 in z, -1, g?
-1
Let q = 3.05 - 0.05. What is the closest to q in -0.5, 0.2, -0.2?
0.2
Let z = -12 - -12.5. Which is the closest to 2/5? (a) -0.3 (b) z (c) 5
b
Let w = 32.2 - 32. What is the closest to w in 0, 0.7, 2?
0
Let m be (4/10)/(1/5). Suppose 0 = -m*k - 3*k - 25. Let v = 5 + -3. What is the closest to -1 in k, v, -0.4?
-0.4
Let i = 0.127 - -0.073. What is the nearest to i in 5, 1/6, -2?
1/6
Let i = 4 - 4.1. Let f = 0.15 + 0.35. Which is the closest to i? (a) 1/9 (b) f (c) -3
a
Let m(o) = o + 7. Let t be m(-4). Suppose -1 - t = -f. Let x = 2 + -4. Which is the closest to 2/3? (a) x (b) f (c) -3
a
Let t = -21.4 - 4.6. Let y = t + 21. What is the nearest to 3 in 0.03, y, 5?
5
Suppose 3*s - 4*t - 29 = 0, 0 = -2*s + t + 8 + 3. Let y = -0.2 + 0.4. Which is the closest to -0.1? (a) 0.1 (b) s (c) y
a
Let q = -0.5 + 5.5. Which is the nearest to -1? (a) -0.1 (b) q (c) 3
a
Suppose 3*s - 25 = q, 0 = -q - q - 2. Let t be 3/(-17)*s/(-12). What is the nearest to 2 in 0, t, -0.4?
t
Let y(z) = z + 8. Let m be y(-6). Let u be (-2 - -1)*m/(-2). Let r = -793/5 + 158. What is the nearest to u in -0.5, r, -6/11?
-0.5
Let w = 9 - 3. Let q = w + 0. What is the nearest to 1 in q, -2/5, 2/25?
2/25
Let l = 73 - 67. What is the nearest to -1 in 1/3, l, 2/5?
1/3
Let s = -32 - -36. Which is the nearest to -2/7? (a) 0.08 (b) -2/21 (c) s
b
Let p = -4.02 - -0.02. Let y be 2 + 1/(26/(-56)). Let w = 2 - 1.9. Which is the closest to w? (a) p (b) y (c) 0.4
b
Let z be -7 + 7 + (-6)/2. Let j = -1 - z. Let h be j*(-22)/(-16) - 3. What is the closest to h in 1/2, -2, 0?
0
Let j = 1088/7 + -156. Which is the closest to -1? (a) 2 (b) j (c) -0.2
b
Let u be ((6 + -4)/2)/4. Let o = 9 + -12. What is the closest to u in 2/21, o, 1?
2/21
Let k be (-3)/(-1 - 0/2). Suppose 2*x - x = 1. Let p be 4/(-40) - x/(-2). Which is the nearest to p? (a) -5 (b) -0.3 (c) k
b
Let v = 36 - 182/5. Which is the nearest to v? (a) -1 (b) 4 (c) 1
a
Let a = -23958/7 - -3672. Let p = a + -249. What is the closest to 0 in p, -3, 4?
p
Let f = -4 + 2. Let k be (-710)/24*(-1)/(-35). Let v = k - -5/12. What is the nearest to -1 in f, -3, v?
v
Let x = -15 + 15. Which is the nearest to 0? (a) -1/3 (b) -0.3 (c) x
c
Let r = -51/5 + 209/20. Which is the closest to -0.2? (a) r (b) 0.1 (c) -2/15
c
Let w = -16 - -50/3. Which is the closest to 2? (a) -1/2 (b) 0.4 (c) w
c
Let n = -3.8 + 4. Let l = n - -0.8. Let s = l + -5. Which is the closest to -1? (a) -5 (b) -0.2 (c) s
b
Let u = 76/315 + 2/45. Let t be ((-1)/(-3))/((-16)/6). Which is the nearest to u? (a) t (b) 2/7 (c) 0.2
b
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
s 1/2*21/84?
1/8
(-54)/(-189)*14/(-4)
-1
Calculate 4*(-2)/(-36) + 1092/189.
6
Calculate 1 + (7/((-7)/4) - 1).
-4
(-29)/((-87)/(-18)) + 8
2
(-12)/(-2 - -5)*7/7
-4
What is ((-4212)/3744)/((-2)/4 + 1)?
-9/4
-3*2 + (1 - -3)
-2
Calculate (-3)/(-12) - (1 - 39/84).
-2/7
Evaluate (6 - 8)/(0 + (4 - 9)).
2/5
Calculate (-2)/(-1) - (-39)/(-52).
5/4
Calculate 1 - (3 + (6 + -8 - 0)).
0
What is the value of ((-68)/136)/(-1*1/(-2))?
-1
What is the value of 3*(-4)/30*(-245)/98?
1
Evaluate (-360)/252 + (-4)/7.
-2
Evaluate 3/6*-4*5/8.
-5/4
1/((2/20)/((-11)/22))
-5
What is the value of (-572)/10582 + 522/74?
7
What is (((-6)/7)/(-3))/(216/(-504))?
-2/3
What is the value of -2 + 2/2 - -1?
0
Calculate 6/(-8) - 26/8.
-4
Calculate -8 - -6*(-8)/48.
-9
Evaluate 16/64*(2 - 1).
1/4
4309/(-1529) - (0 + (-2)/(-11))
-3
38/76 + (-6)/4
-1
Calculate (0 + 5 + -8)*-1.
3
Evaluate 49/((-91)/13) + 14.
7
What is the value of (-5)/((-25)/10) - (-48)/(-30)?
2/5
Calculate -1*4 + -43 + 41.
-6
What is the value of 180/990 - (1 + 32/(-66))?
-1/3
Calculate (-306)/810 - -4*2/(-36).
-3/5
Calculate 115/25 + (-4)/(-10).
5
Calculate (-6)/(-6) - ((-38)/10 - -5).
-1/5
(-8)/30*(-6)/4
2/5
What is the value of (((-2)/8*0)/(-4))/1?
0
What is the value of ((-85)/20 + 5)*(-5 - -9)?
3
What is the value of (9 + (0 - 5))/(-2) - -2?
0
Calculate (12/(-8))/1 - -1.
-1/2
(-1056)/(-240) - (1 - -5)
-8/5
-7 - ((-15)/(-18) + 11495/(-1482))
-1/13
Calculate (-20)/(-15)*(-3 - (-9)/6).
-2
Calculate ((-28)/42)/(7/6).
-4/7
Evaluate -8 + 260/30 + (-1)/2.
1/6
What is (2/(-2))/(5/2)?
-2/5
(-4)/(-1) - (-798)/(-210)
1/5
Calculate (-24)/(-40) - 34/(-10).
4
Calculate 21/(-84) - 2/(-8).
0
What is the value of (-5)/3*(17 - 14)?
-5
What is the value of 1 - (270/273 + 2/13)?
-1/7
What is -2 + (-1)/2*2 - 0?
-3
Calculate 4/(-14) + (-140)/(-245).
2/7
-1 + (-224)/(-147) + 2/14
2/3
(-231)/(-330) - (-2)/15
5/6
Evaluate -1 + 3 - 128/80.
2/5
-3 - -10 - (-1 - -14) - 2
-8
What is the value of (7 - 2)*(-3 - (-3 + -1))?
5
What is (((-42)/(-18) - -4) + -7)*1?
-2/3
33/(-110) - (-1)/5*3
3/10
Calculate (3/(-12)*0)/(-2).
0
What is the value of (120/(-200))/(8/(-5))?
3/8
Calculate (-3 + 1)/((-8)/(-4)).
-1
Evaluate (0 + (-18)/20)*150/360.
-3/8
Calculate (1 - -5)/(-12)*(-1)/(-2).
-1/4
What is 1/(-6)*(-12)/(-4) - -2?
3/2
(-10)/28*(-20)/25
2/7
-10 + (1 + 4 - (6 - 6))
-5
Calculate (-36)/(-198) - 42/(-11).
4
What is the value of (-53 - -45) + 50/6?
1/3
What is the value of (0 - -3) + (-40)/16?
1/2
What is (-4)/48 + (-53)/(-212)?
1/6
-6 + 5/2 + 880/224
3/7
Evaluate 190/32 - (-49)/784.
6
What is (-203)/(-42) + -3 + (2 - 3)?
5/6
((-62)/(-36) - 2) + 2/(-9)
-1/2
What is (-8)/(-6)*(-27)/24?
-3/2
Calculate 150/42 + 8/(-14) + 0.
3
What is (2 - 2)*(65/(-20))/(-13)?
0
2/(-2) - (8 - 5)
-4
Evaluate (2 + 10)/(-6*(-7)/21).
6
26/2 - (-168)/(-216)*9
6
What is 0 - -8 - (23 - 17)?
2
12/2 + (37 - 45)
-2
Calculate ((-33215)/(-598))/35 + 2/(-23).
3/2
236/28 + 0 - 15/35
8
What is the value of 37 - 24 - (-144)/(-11)?
-1/11
Evaluate 234/273*7/3.
2
Calculate (12 - 7)*9/(-15).
-3
What is the value of (-21)/5 - -6 - 2?
-1/5
What is 2 + (-4)/10 + (-126)/(-90)?
3
Evaluate (-9)/2 - (-24)/48.
-4
What is the value of -2 + (12/(-15) - -2)?
-4/5
Calculate (-30)/24 + 2 + (-28)/16.
-1
Calculate (-2)/2 + 1 - (0 + -1).
1
(59/(-177))/(17*1/(-6))
2/17
(-63)/(0 - -9) - (-40)/5
1
(2/18)/((-20)/15)*-2
1/6
What is -2 + 3 - (9 + -4 + 6)?
-10
Evaluate (2 - 5) + 12 + 4 + -8.
5
What is the value of 0/((4/2)/(4 + -5))?
0
Calculate (-88)/(-22) - (4 + -1).
1
What is the value of ((-5)/(-2))/(1/2)?
5
What is the value of 20/12*(-90)/(-25)?
6
Evaluate 3*-1*80/60.
-4
What is the value of (8 + 294/(-35))*(-1)/2?
1/5
What is (-52)/20 + -1 - (-16 - -12)?
2/5
What is the value of 5 + -2 - ((-64)/24 + 6)?
-1/3
Evaluate (1/(-6))/(-1 - (-1)/4).
2/9
Evaluate 2/(-6) - 39/(-117).
0
Calculate (-5 + 9/(-36)*-13)*4.
-7
((-2)/8)/(19/(-532))
7
1/(-2*6/84) + 8
1
Calculate -3 + -2 + (-1)/(-1).
-4
Evaluate (-3)/(-1) - (4 + 6/(-5)).
1/5
What is -3 + 1 - 2 - (13 - 13)?
-4
What is 9 + ((-1824)/300 - 3)?
-2/25
What is (-168)/126 + (3 - 14/(-6))?
4
21/33 + 20/55
1
Calculate -2 - -5 - ((0 - 2) + 5).
0
Calculate 3/(-15)*(-20)/(-10).
-2/5
Calculate ((-8)/(-24))/((-20)/(-24)).
2/5
Calculate (-1 - 2/6)*(-72)/(-816).
-2/17
What is (-6)/(-16)*(-34)/51?
-1/4
Calculate (-322)/(-84) - 21/7.
5/6
(-6)/(6*-2)*12 - 4
2
-4*1/8*-2
1
What is ((-8)/(-16))/((-6)/(-4) + -2)?
-1
Calculate ((-2)/18)/((-270)/324).
2/15
Calculate ((15/2)/3 - 2)*6.
3
((-1)/6)/((-30)/40)
2/9
What is -1 + -1 - (-372)/217?
-2/7
(-2 - 15/(-6))/(7/56)
4
Calculate 48/40*20/(-6).
-4
Evaluate (4*6/72)/((-14)/6).
-1/7
What is the value of 1184/2331 + 4/(-18)?
2/7
Calculate (3/5)/((-40)/(-400)) + -1.
5
Evaluate (-15)/(-3 - -6) - -2.
-3
12/48*(-1 - 3)
-1
(-513)/99 - (-3 + -2)
-2/11
What is (2/8)/((-3)/6)*-4?
2
Calculate (-1)/(11 + (-12 - -6)).
-1/5
What is 0 + -3 - (-55)/25?
-4/5
Calculate 17 - 21 - (22/3)/(-2).
-1/3
Evaluate (-85)/102*2/5.
-1/3
What is (-30)/(-18)*(-9)/135?
-1/9
What is 0*(-3)/(0 + -3)?
0
Calculate -4 - 1 - 23/(-4).
3/4
Evaluate (-464)/812 + 1/7.
-3/7
What is the value of (-10 - -5)*2/(-6)?
5/3
Evaluate (-3 - -1)*((-21)/27)/(-7).
-2/9
What is the value of 160/(-96)*2/4?
-5/6
Calculate 2/(4/(-3)) + 176/32.
4
Calculate ((-45)/(-45))/(-6 + 0).
-1/6
Calculate 1*(-4)/3 + 528/72.
6
Evaluate 11/(-4) - 3/12.
-3
-5*(-9)/(-162)*(-16)/20
2/9
Evaluate -8 + 1 - (-28)/(21/3).
-3
What is the value of 4/(1 - 26/(-6))?
3/4
What is the value of -2*(-1)/(-12)*-4 - -1?
5/3
What is the value of (-4)/6*39/(-26)?
1
Calculate ((-50)/12 - 1) + (-16)/(-96).
-5
What is -5*(27/18 - 2/4)?
-5
What is (-4)/(-3) - (-68)/(-42)?
-2/7
What is the value of 1 + (18/(-27) - 0)?
1/3
Evaluate (-2 - -3)*(1 + -1).
0
((-146)/18 - (-8)/(-36)) + 8
-1/3
2/4 + (2 - (-15)/(-10))
1
What is 2232/(-930)*10/(-4)?
6
Evaluate ((-42)/(-280))/((-24)/(-15) + -2).
-3/8
-2*(2/10 - 16/(-1120))
-3/7
Calculate (60/105)/(44/(-14) - -4).
2/3
What is the value of (-2)/6 + (-544)/(-102)?
5
Calculate 8*(30/(-48) + 5/40).
-4
What is the value of (-3 - -3)/(9 + (-3 - 3))?
0
(2/(-10))/((-10)/100)
2
What is the value of 4 + (-1 - 1) - (-15)/(-12)?
3/4
Calculate ((-2)/(-7))/(-10*(-18)/(-84)).
-2/15
-4*(5 + 314/(-64))
-3/8
What is (0 - 0)*(0 + 4/(-8))?
0
What is 203/232 - (2/1)/2?
-1/8
Calculate 0/(5 + (-6 - 0)).
0
What is the value of (-4)/((-2 - -1)/((-1)/(-2)))?
2
What is (-1 + -2)/(-3)*-4?
-4
What is (-15)/((-19)/((-190)/30))?
-5
Calculate (-6)/(-30) - (-12)/140.
2/7
Evaluate -4*12/(-16)*-1.
-3
Evaluate 1 + 62/8 - (-4)/16.
9
What is the value of -4 + (-9)/(-6) + 3/(-6)?
-3
Evaluate (-44)/105 + 20/150.
-2/7
Evaluate (4 - 35/(-30)) + -5.
1/6
Evaluate 1 + (-64)/(-168) + (-10)/15.
5/7
What is (-4 - -1)/(5 + 1 + -7)?
3
What is -5 - 1/((-20)/170)?
7/2
Calculate (-300)/(-80)*(36/10 - 2).
6
What is (2/4)/(-12 + 13)?
1/2
2/(-6) - (-6)/84*6
2/21
What is the value of 122/(-42) - (5 + -8)?
2/21
What is the value of (0 - -3)*(-3)/15*-5?
3
What is ((-2)/(-3))/((-7)/(-22 + 1))?
2
What is -1 + 7 + 27/(-9)?
3
What is the value of 1*(0 - -1) + -6?
-5
What is (3/4)/(27/(-90))?
-5/2
17/6 - 0 - 3
-1/6
Evaluate ((-55)/297)/((-5)/6).
2/9
What is the value of 2 + (-1 - 0) + -1?
0
(2/(-2) + 5/6)*-2
1/3
-5*(12/(-18))/((-25)/(-3))
2/5
(-172)/(-36) - ((-21)/(-27) + -1)
5
2/((7/28)/(2/(-4)))
-4
(-1)/(-2*1/6)
3
What is 14 - (14 + -4)*(-16)/(-20)?
6
137/(-24) + 6 - (-6)/(-9)
-3/8
96/(-56)*2/8
-3/7
What is (4 - (-65)/(-13))/((-2)/8)?
4
What is the value of ((-24)/52)/(41/(-533))?
6
Calculate 51/(-90) - 1/10.
-2/3
(-4)/(-6) - ((-310)/(-105) - 2)
-2/7
9 + 0 - (2 - 0)
7
Calculate -1 - (14 + -8)*-1.
5
1/(-13)*-4 - (-12)/(-78)
2/13
Calculate -4 + 1*3/(-3).
-5
What is (-69)/69*(-3)/(-4)?
-3/4
Calculate (0 + 2)*6/(-4).
-3
Evaluate (45/(-10) + 6)*(-2)/9.
-1/3
Calculate (12/(-16))/(285/40 + -3).
-2/11
What is (8 - (-1016)/(-128))*(5 - 3)?
1/8
Evaluate (1 + 3/(-1))*-1.
2
What is the value of -1*6*((-170)/20 - -9)?
-3
What is the value of (-2)/84*5 - 23/138?
-2/7
(-28)/(-98) + 1*(-48)/21
-2
1 - 4*(-133)/84 - 7
1/3
What is the value of ((-2)/(-32))/(3/(-2) + 2)?
1/8
Evaluate 1 + ((-15)/(-3) - 4).
2
What is 1534/(-260) - (-1)/(-10)?
-6
Evaluate (-41 - -47) + -9 + 0.
-3
What is the value of (-48)/120*75/10?
-3
Evaluate (-85)/(-34)*-8*2/100.
-2/5
Calculate -4 + (-305)/(-35
|
{
"pile_set_name": "DM Mathematics"
}
|
p**(-130/3)
Simplify d**(-1/2)*d*(d*d**(4/7)*d*d)/d*((d*d**19)/d)/d*d/d**1 assuming d is positive.
d**(295/14)
Simplify (b**0)**(-5)*b*b**(-1)/b*((b*b*b**1)/b)/b assuming b is positive.
1
Simplify ((f/(f/(f**(-2/69)/f)))/f)/f**(-2/43)*(f**(-3/4))**41 assuming f is positive.
f**(-388469/11868)
Simplify t**(-11)*t*(t**(-1/3)*t*t)/t*t**(-6/13)*t**2 assuming t is positive.
t**(-304/39)
Simplify (r*r**(-6/11))**6/(r**(-3/2)/((r/((r*r**(-4/7)/r)/r*r))/r)) assuming r is positive.
r**(739/154)
Simplify o**4/o*o*o**10*(o/(o*o*o/((o**(-1/8)/o)/o)))/(o/(o/o**(-4/3))*o) assuming o is positive.
o**(245/24)
Simplify (z/z**0)**(-15/8)*(z/((z*z**(4/3))/z*z))**(2/15) assuming z is positive.
z**(-739/360)
Simplify (t*t**5)**6*(t**(-7))**(-17) assuming t is positive.
t**155
Simplify (u**(-1/5)/(u**(-3/5)*u*u))**(-8) assuming u is positive.
u**(64/5)
Simplify (w/(w/(w/(((w*w**(1/2)/w*w)/w)/w))))**(1/32)/((w**(1/27)/w)/(w*w**(3/11))) assuming w is positive.
w**(43387/19008)
Simplify t/((((t**(-10)*t)/t*t)/t)/t)*t**13/t*((((t/t**(-3)*t)/t)/t)/t)**(-48) assuming t is positive.
t**(-72)
Simplify (d*d**(-3)*d)**(-33)*d/(d**5*d)*d**(-1/15) assuming d is positive.
d**(419/15)
Simplify ((v**(-2/13)/v)/(v*v*v**7*v))/(v**(-8)*v*v**(-2)) assuming v is positive.
v**(-28/13)
Simplify ((b**(3/5)/b**(1/7))/((b/((b/(b*b**(-6)))/b*b*b))/((b**(-2/15)*b*b*b)/b)))**17 assuming b is positive.
b**(14858/105)
Simplify ((z/z**(-12/7))/z)/(z*z**11/z*z*z)*(z*z/(z/(z*((z*z**(-1/9)*z)/z*z)/z*z)))/((z**(-19)/z)/z) assuming z is positive.
z**(857/63)
Simplify (p**(1/4))**(-21)/(p*p/(p**(-2/9)/p))**(-3/8) assuming p is positive.
p**(-97/24)
Simplify (((y/(y*(y*(y/((y/((((y*y**(-2/7))/y)/y)/y))/y)*y)/y)/y))**(-4))**(-2/51))**41 assuming y is positive.
y**(984/119)
Simplify (r**(2/7)*r)/(r*r/r**6*r)*((r*r/r**(-2))/r*r)**(-22) assuming r is positive.
r**(-586/7)
Simplify l**(3/13)*l*((l**(3/14)/l)/l*l*l)/l*(l*l**(-1/30))/(l/(l**(-11)/l)*l) assuming l is positive.
l**(-17183/1365)
Simplify t**(-9)/t*t**(-23)*t**(-1)/(t*t**(1/9)) assuming t is positive.
t**(-316/9)
Simplify (k**(2/19))**(2/19)/(k*k/(k*k**(16/5))*k)**(-4/19) assuming k is positive.
k**(-436/1805)
Simplify (((c*c/((c*c/(c/((c/c**(1/21))/c))*c)/c)*c)/c)/(c*c**(-31)))**(-19/3) assuming c is positive.
c**(-12388/63)
Simplify ((x**(-1/7))**(-30))**40 assuming x is positive.
x**(1200/7)
Simplify l/((l*l**(-6))/l)*l*l**(-13)*l**0/l**4 assuming l is positive.
l**(-9)
Simplify (o/(o/(o**(-2/9)*o)))/o*o*o**(-21)*(o/(o/o**(-3/23))*o)/(o/(o/(o*o*o/(o/(o*o**7))))) assuming o is positive.
o**(-6076/207)
Simplify (x*x**(-8/5)/x*x*x*x)**50/((x/(x*x**(1/9)*x*x))/(x/(x/x**(-2/39)))) assuming x is positive.
x**(8431/117)
Simplify (c*c**(-18)*c)/(c/(c/c**(-1/2)))*(c/(c*c*c**(4/3)))**(-6/23) assuming c is positive.
c**(-685/46)
Simplify w**(-1/7)*w*w**(-3/7)*(w**1/w)**(-45) assuming w is positive.
w**(3/7)
Simplify ((r*r/(r*r**(-19)*r))/r*r/(r/(r*(r*r/(r*r*(r/(r*r**14*r))/r))/r*r)))**(-34) assuming r is positive.
r**(-1190)
Simplify ((n/(n**(2/21)/n))/n)**(-6/19)*((n**(3/14)/n)/n)**(-6/7) assuming n is positive.
n**(61/49)
Simplify (b*b**(5/7)*b**6)/(b/(b/b**(8/5))*(b*b/b**(3/10))/b*b) assuming b is positive.
b**(309/70)
Simplify (((s/(s/(s*s**(-8/3))))/s)/s)**(-2/101)/(s*s/(((s*(s/((s*s**(-6/11))/s)*s)/s)/s*s)/s)*s*s**(-4/3)) assuming s is positive.
s**(-54/1111)
Simplify ((d**(2/3))**(-44)/(d*d/d**6*d/(d/(d/(d*d**9))*d)))**(-12/11) assuming d is positive.
d**(184/11)
Simplify (b**(-1/6)*b**4*b*b**(2/15)*b*b*b**(-1/13))**(1/4) assuming b is positive.
b**(2687/1560)
Simplify q/(q*q**(-9)*q)*q*q**(3/8)*(q**(-2/3))**(-20/13) assuming q is positive.
q**(3245/312)
Simplify (u/(u/(u*u**17*u*u*u)))/(u*u**7*u)*((u/u**(-1/9))/u)**41 assuming u is positive.
u**(149/9)
Simplify (b*b**(1/14))**(-16/5)*((b**(-18)*b*b)/b)/b*b*b**(-6/17) assuming b is positive.
b**(-2473/119)
Simplify p**12*p*p**4*p/(p**3*p)*p*p*p**1*p*p*p assuming p is positive.
p**20
Simplify (h/((h/(h*h**(-1)*h))/h))**(23/5)/(h**(-2/59)/(h*h/(h*h/h**12))) assuming h is positive.
h**(6264/295)
Simplify ((j**(-13)/j)/j**(-12/7))/((j*j/j**(-8))/j**4) assuming j is positive.
j**(-128/7)
Simplify (y/((y**(-14)*y)/y))**37/(y/y**20*y**(-28)) assuming y is positive.
y**602
Simplify ((((a/(a*a**(-1/4)/a))/a)/a*a)/a*a)**46/(a**(-3)/a)**(-2/25) assuming a is positive.
a**(559/50)
Simplify ((l/(l/(l/(l*(l**(-2)/l)/l))))/l*(l**(-3/4)*l)/l*l*l**13/l*l/(l/l**0))**(2/3) assuming l is positive.
l**(61/6)
Simplify v*v**(2/7)*v**(5/3)*v**12*v*v**8 assuming v is positive.
v**(503/21)
Simplify (u**(-1/4)*(((u**(-36)*u)/u)/u)/u)**(-21) assuming u is positive.
u**(3213/4)
Simplify (((y/(y/(y**0*y)))/y*y)**(2/77)/(y**(-10)/(y*y*y/y**(1/16)*y*y*y)))**(-9/10) assuming y is positive.
y**(-177003/12320)
Simplify (((z/(z*z**11))/z)/z**(-8))/((z*(z*((z*z/(z**(6/5)/z))/z)/z*z*z)/z)/z**(4/5)) assuming z is positive.
z**(-6)
Simplify (z*z**(1/3)*z)**(-11/5)/((z/(z/(z/(z/(z/z**6)*z))))/z*z)**(6/13) assuming z is positive.
z**(-461/195)
Simplify ((a**(-6/11)*a)**(4/9))**(-1/2) assuming a is positive.
a**(-10/99)
Simplify ((f**(2/29)*f)/(f**(-20)/f))/(f*f**(-25)*f**0/f) assuming f is positive.
f**(1365/29)
Simplify (m/((m/(m/(m*m*m**(-10)))*m*m*m)/m)*m**(35/6)/m)**36 assuming m is positive.
m**426
Simplify (((u*u/((u/u**(-19))/u))/u)/u*u)/u*u/(u*u**(-10))*u/((u*u*u**10*u)/u*u)*u**(9/4) assuming u is positive.
u**(-75/4)
Simplify (g*g**(1/2))**(7/9)/(g**3)**35 assuming g is positive.
g**(-623/6)
Simplify ((k/(k/(k/(k**15/k)*k)*k*k*k))**(-16))**(-43) assuming k is positive.
k**(-10320)
Simplify (((w/w**(1/3))/(((w/w**(-3/16))/w)/w))/(w**(-2)*w**1))**(-5/6) assuming w is positive.
w**(-595/288)
Simplify (s**(-1)*s**(2/21)*(s/((s/s**(-1))/s))**40)**(-2/3) assuming s is positive.
s**(38/63)
Simplify (k**(-4))**(11/6)*k*k/(k/(k*k**(-4)))*k*(k/(((k*(k/k**(-2/13))/k)/k)/k*k)*k)/k assuming k is positive.
k**(-292/39)
Simplify (((q*q**(3/7))/q**(-3))**(-1/12))**(-15) assuming q is positive.
q**(155/28)
Simplify u**(-3)/(u*((u*u**(-12))/u*u)/u*u*u)*(u*u**(-3/10))/(u*u**(2/47)) assuming u is positive.
u**(2659/470)
Simplify ((j*j/(j/j**(-20)*j)*j)/j)**(-2/13)/(((j**(-2/27)/j)/j)/(j*j**32/j)) assuming j is positive.
j**(13040/351)
Simplify ((c*(c/c**(-2/53))/c*c)/(c**(-3)/c))/(c*c**(1/5)*c)**3 assuming c is positive.
c**(-149/265)
Simplify (f**(-36)/((f**(-1/27)/f*f)/f))/((f*f*f/(f**(1/16)*f))/(f/(f/f**(-35)))) assuming f is positive.
f**(-31061/432)
Simplify j**4*j/(j/j**(-1/18))*j**15/j*j*j**(2/25) assuming j is positive.
j**(8561/450)
Simplify (v/v**(-6))**39*(v**(-2))**29 assuming v is positive.
v**215
Simplify (((g**13*g)/((g/g**10)/g*g))**(-47))**(4/31) assuming g is positive.
g**(-4324/31)
Simplify ((c*c**(2/23)*c)/c**10)/(c*c/((c*c/c**(3/2))/c*c)*(c*c**(-13))/c) assuming c is positive.
c**(165/46)
Simplify ((x/(x*x/x**2))/x)**(-19/3)/((x**2*x)/x*x)**(-41) assuming x is positive.
x**123
Simplify (t/(t**(1/18)*t)*t**9/t*t)/(t**(-22)*t)**(1/3) assuming t is positive.
t**(287/18)
Simplify (l**(-5))**(-2/3)*(l**(-3/4))**(2/151) assuming l is positive.
l**(3011/906)
Simplify (a*a**(2/61)*a*a*a*a*a*a/((a*(a/a**(2/115))/a)/a))**(2/59) assuming a is positive.
a**(98914/413885)
Simplify (o**(-13)/o*o*o*o**(-22)/o)**(3/38) assuming o is positive.
o**(-105/38)
Simplify (d**(-8))**8/((d*d**(-2/15))/d)**46 assuming d is positive.
d**(-868/15)
Simplify (y**3*y)**(2/5)/((y**(2/9)*y)/(y**10/y)) assuming y is positive.
y**(422/45)
Simplify (c**(-26)/c**(2/7))/(c/(c/(c*c**5))*c/(c/(c**(-24)/c))*c) assuming c is positive.
c**(-58/7)
Simplify k*k*k*k/k**(-2/35)*k**(-3)*k**(-2)/k**(-1/2) assuming k is positive.
k**(-31/70)
Simplify ((o/(o*o**(-12)))/(o**(3/10)/o))/((o/(o/(o/o**(-9)*o))*o)/(o/(o*o**(2/27)*o))) assuming o is positive.
o**(-101/270)
Simplify ((d**(-2/53)*d)/d**(1/9))/(d**(1/6)/((d*d/((d/d**(5/7))/d)*d)/d)) assuming d is positive.
d**(22697/6678)
Simplify ((t/((t**(-13)*t)/t))**17)**(-3/7) assuming t is positive.
t**(-102)
Simplify (f**(-6/5))**(17/2)/((f**(-9/7)*f)/(f/f**(3/7)*f*f*f)) assuming f is positive.
f**(-222/35)
Simplify (w**(5/3)*w/w**(-2/23))**(6/11) assuming w is positive.
w**(380/253)
Simplify (f/(f/(f*f/(f/(f*f/(f*f/f**1))*f)*f)))**(20/7)*(f/f**(-16))/f*f**17 assuming f is positive.
f**(271/7)
Simplify (k*k*k/(k*k/((k/k**(-1/9
|
{
"pile_set_name": "DM Mathematics"
}
|
0000
Let a = 1202.4529 + -1149.361. Let l = a - 52.81. Round l to one decimal place.
0.3
Let v(r) = 196 + 134500000*r**3 + 5*r**2 - 5*r - r**2 - 195. Let b be v(1). Round b to the nearest one million.
135000000
Let d = -10.5 - 157.94. What is d rounded to the nearest 10?
-170
Let p be 0*((-10)/15)/2 + 5. Suppose -5*c = -p*b + 26550000, 5310000 = 5*c - 6*c - 5*b. What is c rounded to the nearest one hundred thousand?
-5300000
Let f = -202 + 381. Let c = 174.1 - f. Round c to 0 decimal places.
-5
Suppose 10*r + 7*r - 14221820 = 103*r. What is r rounded to the nearest 1000?
-165000
Suppose p - 2*i - 13264 = 0, 59*p + 5*i + 26527 = 61*p. Round p to the nearest 100.
13300
Let d(u) = -10*u**3 - 20*u**2 - 25*u - 1. Let p be d(-14). Suppose 3*h = -p - 89831. Round h to the nearest 1000.
-38000
Let q = 72 - 68. Let h = q - 4.25. Let a = h - -0.2489. What is a rounded to 3 dps?
-0.001
Let h = -25452193 + 60292193. Round h to the nearest one million.
35000000
Let t = 519 - 517. Suppose s = t*q - 4*s + 6632015, -13263994 = 4*q + 2*s. Round q to the nearest 100000.
-3300000
Let y(m) = 234236*m**2 + 9*m + 3. Let a be y(-3). Round a to the nearest one hundred thousand.
2100000
Let f(l) = 332*l**2 - 9*l + 4. Let c be f(4). Suppose -c = -10*r + 4*r. Round r to the nearest 100.
900
Let l = -375 + 374.759. Let j = 1.177 + l. Round j to one dp.
0.9
Let u = 172.21 - 190.045. Round u to the nearest integer.
-18
Let h = -5.7 - 0.8. Let t = h - 0.5. Let c = -6.985 - t. Round c to 2 dps.
0.02
Let m = -112.1 + 51.1. Let d = m - -60.8992. What is d rounded to three dps?
-0.101
Let h = 108 + -5. Let g = h - 101.766. Round g to one decimal place.
1.2
Let c = 296.48 + -296.47983369. Round c to six dps.
0.000166
Let t = -387 + 387.000008324. Round t to six dps.
0.000008
Let f = -0.5578887 - -0.56075. Round f to 5 decimal places.
0.00286
Let z = 65 + -93. Let p = z + 28.08. Let f = -0.184 + p. What is f rounded to two dps?
-0.1
Let b = 115.85 - 115.880005. Let a = -1.03 - -1. Let c = b - a. Round c to 5 decimal places.
-0.00001
Let n = 0.146 + 0.006. Let a = 12.052 - n. Let y = -11.89953 + a. What is y rounded to 4 dps?
0.0005
Let t(y) = -y. Let r(v) = -6*v + 13. Let a(s) = -2*r(s) + 2*t(s). Let i be (-1)/(248/(-186) + (-62)/(-42)). Let m be a(i). What is m rounded to the nearest ten?
-100
Let a = -204.1 + 204.099965648. What is a rounded to 7 dps?
-0.0000344
Let j be 15*(15018/(-18) + 9 - -2). Round j to the nearest ten thousand.
-10000
Let l = 6759.1847 - -1336.8058. Let n = -8089 + l. Let w = n - 7. What is w rounded to 3 dps?
-0.01
Let y = 88229 - 88228.9999942611. What is y rounded to 7 decimal places?
0.0000057
Let p = -3175426532.95522888 - -3175426418. Let l = 0.04774112 - p. Let r = -115 + l. What is r rounded to 4 dps?
0.003
Suppose -4*i - 3420 = -3*q + 51239, 3*q + 21 = 0. Round i to the nearest ten thousand.
-10000
Let n be -20 - 24330880/5 - (-8)/(-2). Round n to the nearest 100000.
-4900000
Let p = 7967.8 - 7967.26601. What is p rounded to 1 dp?
0.5
Let o = -11.9537656 + 12.0156. Let v = 73.0527344 - o. Let t = v + -73. Round t to three dps.
-0.009
Let h = -10104 + 10103.9933521. Let g = -0.0067 - h. What is g rounded to 5 decimal places?
-0.00005
Let c = -136271.192 + 135763. Let h = -511 - c. Round h to one decimal place.
-2.8
Let n = 69311.17 + -68999. Round n to the nearest ten.
310
Let i = -3610 + 10419. Let d(o) = -8190*o**2 - o. Let h be d(1). Let k = h - i. Round k to the nearest 10000.
-20000
Let o = 0.335 - 151.335. Let x = -196.5 - o. What is x rounded to zero decimal places?
-46
Let k = 0.348 + 17.352. Let f = 17 - k. Let m = f + -0.17. Round m to one dp.
-0.9
Let m(z) = 4231*z + 61. Let r(c) = 8461*c + 123. Let n(y) = 7*m(y) - 4*r(y). Let f be n(5). Round f to the nearest one thousand.
-21000
Suppose -x - 4*g = 5 + 7, 0 = x + g + 24. Let o be 1 + 149584/x - (-8)/28. Let c = o - -351. Round c to the nearest one thousand.
-5000
Let i = 13.6 - 122.6. Let v = -306.66328687 + 197.6632856. Let w = v - i. Round w to 7 dps.
-0.0000013
Let b = -120971321.9 - -6303186.9. Let f = -114668204.0000114 - b. Let t = f - -69. What is t rounded to 6 dps?
-0.000011
Let p = -10218.23324 - -10218. Let m = 0.239 + p. What is m rounded to four dps?
0.0058
Let t = 724.29982 - 724.3. What is t rounded to three dps?
0
Let n = -3549.0001257 + 3549. What is n rounded to 4 dps?
-0.0001
Let s(h) = h - 2. Let i be s(6). Suppose i*v - 5*u = -43625, 4*v - 13*u + 14*u = -43643. Round v to the nearest one thousand.
-11000
Let g = 1366.3999993269 - 1366.4. What is g rounded to 7 decimal places?
-0.0000007
Let n = -632 - -632.0896. Let r = 0.089595634 - n. What is r rounded to 6 dps?
-0.000004
Let b(c) = -15*c**3 - c**2 - 2*c. Let i be b(-1). Suppose 4*d - i = -0. Suppose d*u + 5941456 = 20741456. Round u to the nearest 1000000.
4000000
Let u be (-2 - 62488/6)*(-19296)/12. Let k = 2 + 8. Suppose -5*f - u = -k*f. Round f to the nearest one hundred thousand.
3400000
Let u(g) = -761*g + 13660. Let m be u(62). Round m to the nearest one hundred.
-33500
Suppose 5*n - 4*y = 376474976, -n - 5*y + 56239230 = -19055800. What is n rounded to the nearest 1000000?
75000000
Suppose g + 9 = -g - 3*d, 2*g + d = 1. Let m be (-72)/(-27) - 2/g. Suppose a - 2*x + 5*x = 541, -2*x = m*a - 1094. Round a to the nearest one hundred.
600
Let u = -623862908933021.0000024 - -623863115664932. Let o = u - 206732015. Let n = -104 - o. Round n to six decimal places.
0.000002
Let m = -2472.9988041 - -2473. Round m to 5 dps.
0.0012
Let n = 0.017543 + -0.01754205409. Round n to 7 decimal places.
0.0000009
Let p = -0.7043 - -0.761. Let j = p + -0.0568772. What is j rounded to 5 dps?
-0.00018
Let u = -0.0205 + 0.2297. Let s = 0 - -0.2. Let c = u - s. Round c to three dps.
0.009
Let n = 391373.9999772033 - 391374. What is n rounded to seven dps?
-0.0000228
Let d = -188.417 + 196.83. Let q = -8.409133 + d. Round q to three decimal places.
0.004
Let b = -55567.99897039 - -55568. What is b rounded to four dps?
0.001
Let n be 1/((-3)/6) + 20. Suppose -n*o - 881000 = -17*o. Round o to the nearest 100000.
-900000
Let f = 0.085075 - 0.10552. Round f to four dps.
-0.0204
Let p = -6928970063.00000218 + 6928969403. Let s = -660 - p. What is s rounded to seven decimal places?
0.0000022
Let v be (-80)/(-4) - (-1 + -1). Let m be 2 + 48/(-22) - (-4)/v. Suppose -3*q + 7*q + 400000 = m. Round q to the nearest 1000000.
0
Let t = 373 + -206. Let n = t + -166.99837. What is n rounded to four dps?
0.0016
Let j = -24649 - -24656. Let y(s) = 0*s**2 - 6*s**2 + 2*s + 3 + 7*s. Let g be y(j). What is g rounded to the nearest one hundred?
-200
Let f = -20493.000004039 - -20493. Round f to 7 dps.
-0.000004
Let g(r) = -152999*r**3 - r**2 - 10*r - 8. Suppose 12*o - 6 = 15*o. Let c be g(o). What is c rounded to the nearest 10000?
1220000
Let o = -268.9 + -46.8. Let g = 31.284 + 298.716. Let p = g + o. What is p rounded to the nearest ten?
10
Suppose -5*o = -5*t + 8082525, 140*o + 4*t - 1616520 = 141*o. Round o to the nearest 10000.
-1620000
Let i = -701.4459094 + 709.27592. Let a = -7.83 + i. What is a rounded to 7 decimal places?
0.0000106
Let q = 723.874 - 724. Let i = q - -0.12599105. Round i to 6 decimal places.
-0.000009
Let z = 0.8 + -3.8. Let r = z + 40. Let b = r + -36.999948. What is b rounded to five decimal places?
0.00005
Let g = -48 - -56. Let l be (30400/(-12))/(g/(-48)). Round l to the nearest 1000.
15000
Let m = -9813001707681.2999926 - -9813004016994. Let i = m - 2309315. Let k = i - -2.3. Round k to six dps.
0.000007
Let l(c) = 508319*c + 258. Suppose 0 = -2*z - m + 35, -4*z = -6*z + 5*m + 41. Let o be l(z). Round o to the nearest one hundred thousand.
9200000
Let r be 8572387/7 + 66/231. Suppose -23*b + r = 15392627. What is b rounded to the nearest 100000?
-600000
Let r = -32.5 + 32.6952. Let x = -0.1133 + r. What is x rounded to two dps?
0.08
Let h = 59201.1653 - 59204. Round h to one dp.
-2.8
Let i = 1575 - -110. Let u = i + -3885. What is u rounded to the nearest 10000?
0
Let w = 13.36 + -1.16. Let b = w - -3.2. Let m = b + -15.59. What is m rounded to one decimal place?
-0.2
Let m = -2.71008 - -2.7. Let y = -666.99 + 667. Let v = m + y. Round v to 4 dps.
-0.0001
Let w(c) = -308*c**2 + 47*c - 1. Let d be w(-3). Round d to t
|
{
"pile_set_name": "DM Mathematics"
}
|
t b(p) = -p**2 - p + 3. Let g be b(4). Let x = g - -29. Let h = 16 - x. Calculate the least common multiple of h and 2.
4
Let k = 1231 - 951. What is the least common multiple of 35 and k?
280
Suppose -5*w + 10*w - 55 = 0. Suppose -3*i = -16 + 4. What is the smallest common multiple of i and w?
44
Let f be 6/(-30) - 128656/7170. Let l = f - 11/478. Calculate the common denominator of (-4)/(-32) + 1/(-4) and l.
24
Suppose -2*l = k - 14, -40 = -2*k - l - 0*l. Calculate the lowest common multiple of (-4)/(-1)*-21*-1 and k.
924
Suppose p - 31 + 10 = -5*i, i = -5*p + 9. What is the least common multiple of 2 and i?
4
Let x be -12*1/2*-2. Let m = x + -14. Let i = 2 - m. Calculate the least common multiple of 8 and i.
8
Let t(a) = -a**3 + 6*a**2 - 4*a + 4. Let j(r) = -r**2 + 4*r + 6. Let o be j(4). Let w(m) = -m + 16. What is the smallest common multiple of w(o) and t(4)?
20
Calculate the common denominator of -29/147 and ((-2)/(-36))/(252/(-621)).
1176
Let c be ((-20)/15)/((-2)/3). Suppose -16 = -c*i - 4. Let n = i - -6. What is the smallest common multiple of 2 and n?
12
Let m(g) = 22*g + 64. Let r(f) = -7*f - 21. Let z(u) = 2*m(u) + 7*r(u). What is the lowest common multiple of z(-5) and 88?
264
Let p = -52/25 + 691/200. Let h = 47361/7520 - -3/1504. Find the common denominator of h and p.
40
Let q(g) = -9*g + 2. Let r be q(2). Calculate the common denominator of 2/4 + r/(-10) and 1/1*97/(-4)*2.
10
Find the common denominator of -37/84 and 770/144 + (2 - 26 - -18).
504
Let d be ((-1491)/6 - -3) + 4. Let u = d - -1719/7. Find the common denominator of 33/26 and u.
182
Let a = -6135/16 + 384. Let g = -38020072/95 - -400206. Let h = 31/38 - g. What is the common denominator of h and a?
80
Let a(c) be the first derivative of c**3/3 - 5*c**2/2 + 4*c - 1. Let n be a(6). Let b = -2 + n. What is the smallest common multiple of 5 and b?
40
Find the common denominator of -13/12 and (-22)/((-55)/5) - 417/154.
924
Let v(s) = s - 12. Let d(l) be the second derivative of l**3/6 - 6*l**2 - 2*l. Let x(t) = 7*d(t) - 6*v(t). What is the lowest common multiple of 18 and x(16)?
36
Suppose 4*l + 2*k = 6*k + 72, -90 = -5*l + 2*k. Suppose -2 = 3*s - 8. Suppose 0*v - s*v = -12. Calculate the smallest common multiple of l and v.
18
Let c(q) = 65*q - 421. What is the smallest common multiple of c(8) and 99?
99
Let a(d) = 3*d**2 - 2*d. Let s be a(-2). Suppose 5*c - s = 4*c. Suppose -m = -q - c, -39 = -m - 2*q - 11. What is the lowest common multiple of m and 2?
20
Let r = 4/1295 - -145028/3885. Let c = r + -263/6. Find the common denominator of (-21)/42*67/(-3) and c.
6
Suppose 529*c - 528*c = 12. Calculate the lowest common multiple of 21 and c.
84
Let m = -110 - -69. Let a = 57 + m. Calculate the least common multiple of 2 and a.
16
Let i(k) = -3*k + 99. What is the least common multiple of i(28) and 579?
2895
Let a(t) = -t**2 + 12*t - 7. Let r(x) = 3*x - 12. Calculate the smallest common multiple of a(11) and r(6).
12
Let i(y) be the second derivative of y**3/2 - 4*y**2 + y. Let f = 32 + -24. Calculate the smallest common multiple of i(f) and 20.
80
Suppose -22*h + 23*h = 2. What is the lowest common multiple of 232 and h?
232
Find the common denominator of (-110)/(-30)*(-39)/180 and -5/132.
1980
Suppose -2*v - 6*v = 0. Find the common denominator of (4 + v)*(2 + 145/(-110)) and 101/8.
88
Let i = -20 - -14. Let m = 15 + i. Let q(x) = x**3 + 12*x**2 + 12*x + 15. What is the least common multiple of m and q(-11)?
36
Suppose 2*q + q = p - 14, 3*p - 30 = 3*q. Calculate the lowest common multiple of 9 and p.
72
Let p(j) = -32*j**3 - j**2 + 1. Let v be p(1). What is the common denominator of -51/2 and 6/v*-58 + 0?
8
Let k = -263 + 343. What is the least common multiple of 50 and k?
400
Calculate the lowest common multiple of 126 and (44/5)/(112/140).
1386
Let c(m) = 4*m - 13. Let x be c(4). Suppose 0 = 4*w + 2*r - 118, -x*w - 12 = 2*r - 103. Calculate the smallest common multiple of 30 and w.
270
Let i be (-4094)/9618 - (-4 - (-150)/42). Let f = i + 8875/19236. Calculate the common denominator of 23/24 and f.
168
Calculate the common denominator of -11/12 and -1 - ((-9)/(-10))/(231/805).
132
Calculate the least common multiple of 64 and (-1 + 4)/(60/320).
64
Let d(n) = n**3 + 14*n**2 + 1. Let p(a) = a**2 - 1. Let h(r) = d(r) - 5*p(r). What is the least common multiple of h(-9) and 10?
30
Let q = -12980/9 + 1444. Let n be (3 + -3737)/(7515/(-17)). Let f = -2/835 + n. Find the common denominator of q and f.
9
Let y(f) = f - 2. Suppose -4*k = -k - 27. Let d be y(k). Suppose -5*l = -p - d, 3*l = -2*l + 15. What is the smallest common multiple of 34 and p?
136
Let o(t) = 1686*t**2 - 3. Let d be o(2). Suppose f = -5*m - 5540, d = -2*f + 5*m - 4324. Let x = -33301/6 - f. Calculate the common denominator of 1/11 and x.
66
Let z(m) = -m**3 + 7*m**2 - 5*m - 4. Suppose 0 = 2*f - 6 - 26. What is the least common multiple of f and z(6)?
16
Find the common denominator of -111/28 and (-99)/198 + 41/272.
1904
Let d = -59/106 + -251/2120. Find the common denominator of d and 53/12.
120
Let t(u) = -4*u**3 + 2*u**2. Let m be t(-2). Let r = 126 - 100. Let i = m - r. Calculate the smallest common multiple of i and 10.
70
Let w = 286 + -237. Calculate the least common multiple of w and 2.
98
Let d = -94/921 + 1717/296562. Find the common denominator of d and -13/21.
966
Let q = -901 + 1021. What is the smallest common multiple of q and 45?
360
Let p be -2*582202/(-96) + 1. Let o = 12127 - p. What is the common denominator of 470/44*15/(-75) and o?
264
Suppose 2*v - 3*v = 21. Calculate the lowest common multiple of 16 and (0 + v/2)/(33/(-44)).
112
Let c(o) = 2*o**3 - 23*o**2 - 88*o + 2. Let i(b) = -b + 9. Calculate the least common multiple of i(6) and c(-3).
15
Let y = -214 - -234. Calculate the lowest common multiple of 2 and y.
20
Calculate the common denominator of (-2)/(-12)*2196/60 and (-459)/12*4/(-66).
110
Suppose 2*r - 5*n + 103 = 412, 0 = 4*r + 3*n - 579. Calculate the smallest common multiple of r and 21.
147
Let w = -1799 - -17869/10. Calculate the common denominator of w and (-25)/(-30)*258/20.
20
Let n(p) be the second derivative of 14*p**3/3 - p. Let z be n(-1). Let x = -14 - z. Calculate the lowest common multiple of 16 and x.
112
Suppose q - 2 = -0*q, 4*u = 3*q + 24226. Let l = -36215/6 + u. What is the common denominator of 103/20 - (-4)/8 and l?
60
Let c(s) = 9*s**3 - 2*s + 4. Let z be c(3). Suppose -2*m + 61 = -3*m + f, 0 = -4*m + f - z. What is the common denominator of 6/(-36) - (-458)/m and -49?
5
Suppose 9*a - 4*a + y = -13, -2*y - 16 = 5*a. Let t = -273769/18 + 15203. Calculate the common denominator of 1313/52*(-1)/a and t.
72
Find the common denominator of 1943/116*(-4)/9 and -107/450.
450
Let h be (-13 + 9)*23/(-4). Let j = h - 7. What is the smallest common multiple of (-12)/(-4)*1 - 3 - -20 and j?
80
Let l(s) = 4*s**2 - s + 6. Let x(u) = u**2 - 1. Let c(o) = l(o) - 3*x(o). Calculate the smallest common multiple of c(0) and 27.
27
Let m = 39721/16860 - 5/843. Find the common denominator of 41/38 and m.
380
Find the common denominator of (-1713)/(-272) - (-36)/(14 - 20) and 25/128.
2176
Let o = -470713/24 + 56585/3. Let r = 745 + o. What is the common denominator of r and 29/8?
8
Let q = 130 + -87. Find the common denominator of (-897)/135 + 2/(-15) and q/(-5) + 3/3.
45
Let f(w) = -w**3 + 6*w**2 + 7*w + 2. Let n be f(7). Suppose n*v - v = 0. What is the common denominator of -81/14 and v - (-2 - 46/12)?
42
Suppose 0 = 2*o - 7 - 23. Let x = 8369 - 8360. Calculate the least common multiple of x and o.
45
Let l = 85 + -108. Let g(m) = -m**2 - 21*m + 47. What is the smallest common multiple of g(l) and 5?
5
Suppose -2*t + 11 = -5. Suppose 6*h + 2 = 26. Calculate the smallest common multiple of t and h.
8
Suppose 3*d - 24 = 138. Let u = 55 - d. What is the lowest common multiple of u and 11?
11
Let s = 419 - 411. What is the lowest common multiple of s and 29?
232
Let p = -3 + 7. Suppose p*i - 2*i = 20. What is the lowest common multiple of i and 9 - 0 - (-10)/5?
110
Let j = -6/5363 + -380653/107260. Calculate the common denominator of j and (-213)/(-15)*(-10)/4.
20
Let b = 7/704 - -14601/704. Let q = -4/6317 - 840113/75804. Calculate the common denominator of q and b.
12
|
{
"pile_set_name": "DM Mathematics"
}
|
37)))/n assuming n is positive.
n**(-125/259)
Simplify (d**1)**(-10)/(d**(-1/3)*d)**28 assuming d is positive.
d**(-86/3)
Simplify (k*k*(k/(k/k**(-1)))/k)**(-6/13)/((k/((k/((((k**(3/5)*k)/k*k)/k)/k))/k)*k)/k*(k*k**(-4))/k) assuming k is positive.
k**(17/5)
Simplify (o*o/o**3)**3 assuming o is positive.
o**(-3)
Simplify (i*i**1)**(-26/5)*i**(4/9)*i/i**(-5/3) assuming i is positive.
i**(-328/45)
Simplify (x**(2/11)/((x/(x**6*x))/x*x))/(x**(2/9)/x)**(7/2) assuming x is positive.
x**(1763/198)
Simplify (k**18)**(1/4) assuming k is positive.
k**(9/2)
Simplify s**3/s*s**(-21)*s assuming s is positive.
s**(-18)
Simplify ((x**(6/5)/x)/((x*x/x**16)/x))**(-21) assuming x is positive.
x**(-1596/5)
Simplify (i/(i/i**6))/i**(-1/2)*(i*i**4*i)/i**(3/2) assuming i is positive.
i**11
Simplify b**(5/7)/((b*b**(-6))/b) assuming b is positive.
b**(47/7)
Simplify s/(s/(s**(-9)*s))*s*s*s*(s*((s/(s/(s/s**(-13)*s)))/s)/s)/s*s assuming s is positive.
s**9
Simplify (z**(-5)*z**(-9))/(z**(-1))**(-1/7) assuming z is positive.
z**(-99/7)
Simplify (k*k*k**6*k*k)/k*k**13 assuming k is positive.
k**22
Simplify (m**(5/6))**(-8/13) assuming m is positive.
m**(-20/39)
Simplify ((s**(-2)/s)**(-1/48))**(-10/13) assuming s is positive.
s**(-5/104)
Simplify d**(-2)/d*d**(7/2) assuming d is positive.
sqrt(d)
Simplify (v*v**(-2/7)/v*v*v*v*v*v**(-3))/(v**(-1))**(-32) assuming v is positive.
v**(-219/7)
Simplify (k*k*(k/(k/(k*k**(-1/4)*k)))/k)/(k*k*k**5)*(k/(k*k**(-1)))**(2/55) assuming k is positive.
k**(-927/220)
Simplify (r**5*r**3)**(-2/157) assuming r is positive.
r**(-16/157)
Simplify y*y*y*y/(y**(-14)/y)*y**(6/7) assuming y is positive.
y**(139/7)
Simplify (z**(-2/5))**(1/14)/((z/(z*z**(-9)))/z**(2/3)) assuming z is positive.
z**(-878/105)
Simplify (o/o**(9/5)*o**(3/11))**50 assuming o is positive.
o**(-290/11)
Simplify (y/(y**(-2/7)/y))/(y/(y*y*y/(y/(y/(y**(-1/17)*y))))) assuming y is positive.
y**(398/119)
Simplify ((f**(1/2))**(-26))**(11/3) assuming f is positive.
f**(-143/3)
Simplify ((n/(n**(-14)*n*n))/(n*n/(n*n**(-5))))**(19/2) assuming n is positive.
n**(133/2)
Simplify v**(-4/3)*v**(11/3) assuming v is positive.
v**(7/3)
Simplify (s**13/((s/s**(-4/11))/s))**16 assuming s is positive.
s**(2224/11)
Simplify (r**1)**35/((r*r/(((r/(r*r*r*r/(r/(r/r**5)*r)*r))/r*r)/r))/(r*r**0*r*r)) assuming r is positive.
r**37
Simplify (k*k**(-2/7))/k**4 assuming k is positive.
k**(-23/7)
Simplify (((x**0*x)/x)**34)**16 assuming x is positive.
1
Simplify (u**(5/7))**(-32) assuming u is positive.
u**(-160/7)
Simplify (q/q**(-1/5))**(-2/47) assuming q is positive.
q**(-12/235)
Simplify ((((j*j**14*j)/j)/j)/j**(-4/7))**16 assuming j is positive.
j**(1632/7)
Simplify (b/(b*b/(b*b*b**(2/25))*b)*b)/b*b/b**(1/5)*b*b**(-2/3)/(b**(2/3)*b) assuming b is positive.
b**(-34/75)
Simplify ((w*w**(-2/5))/w)/w**7*(w/w**(-1/3))/w**(-4) assuming w is positive.
w**(-31/15)
Simplify w**(-30)/(w*w/(w*w**13)*w*w*w) assuming w is positive.
w**(-21)
Simplify (h**(-6))**(2/45) assuming h is positive.
h**(-4/15)
Simplify ((u*u**7)/(u*u**(3/4)*u))**(-1/10) assuming u is positive.
u**(-21/40)
Simplify ((((a/a**2)/a)/a)/a)**47*a**6*a**(-1/2)*a*a assuming a is positive.
a**(-361/2)
Simplify (y/(y*y**(3/4)))**(-30) assuming y is positive.
y**(45/2)
Simplify t**34*t**44 assuming t is positive.
t**78
Simplify j**(-3/26)*j*j*j**(-6/19) assuming j is positive.
j**(775/494)
Simplify (f*f**(-1/16))/(f/f**(2/5)) assuming f is positive.
f**(27/80)
Simplify c*c**(-6)*c**(-9/8) assuming c is positive.
c**(-49/8)
Simplify (j**(-8)*j**7)**(1/20) assuming j is positive.
j**(-1/20)
Simplify f/(f*f**(-2/21))*f*(f/f**4)/f*f*((f*f/((f/(f/(f**(3/2)/f)))/f))/f)/(f**(-7)/f*f) assuming f is positive.
f**(277/42)
Simplify (l**(-1/6)*l*l/l**(-2/5)*l)/(l/l**1)**36 assuming l is positive.
l**(97/30)
Simplify ((n*n**7)/(n**(2/7)*n))/((n*n/(n**(-6)*n))/(n*(n/((n**6*n)/n))/n)) assuming n is positive.
n**(-37/7)
Simplify (y/(y/(y**(-1/4)/y)))**(1/11)/((y**0*y)/(y/y**4)) assuming y is positive.
y**(-181/44)
Simplify (s/(s**(-1/19)/s))**(-40) assuming s is positive.
s**(-1560/19)
Simplify (x*x/x**(1/3))/(x/(x*x**1)) assuming x is positive.
x**(8/3)
Simplify ((z/(z/z**(1/5)))/z**(-2))/((z/(z**2/z))/z)**(1/11) assuming z is positive.
z**(126/55)
Simplify g**(3/7)/g*g*g**(20/3)*g assuming g is positive.
g**(170/21)
Simplify (s/(s*s**(-12)/s)*s*s*s)/s**(1/19) assuming s is positive.
s**(303/19)
Simplify (u*u**(-17)*u*u**(4/15))**2 assuming u is positive.
u**(-442/15)
Simplify ((u/u**(-1/8))/(u*u/(u**(-1/2)*u)))/(u**8/u**6) assuming u is positive.
u**(-19/8)
Simplify (o**(1/11)*o)**(5/4) assuming o is positive.
o**(15/11)
Simplify (m*m/((m/m**(-1))/m)*m)**(14/3)*(m*m**(3/4))/m*m*m**(-6)/m assuming m is positive.
m**(49/12)
Simplify (v**0*v)**(-32) assuming v is positive.
v**(-32)
Simplify (((j**4/j)/j)/j)/(j**(-3/8)*j*j*j)*(j/j**(-5))/j*j**4*j assuming j is positive.
j**(67/8)
Simplify (u**(-5/12))**(-6/19) assuming u is positive.
u**(5/38)
Simplify (m**(-14/9))**(5/2) assuming m is positive.
m**(-35/9)
Simplify (r**(-7/5)/r)**(-1/8) assuming r is positive.
r**(3/10)
Simplify ((i/(i*i*i/(i/i**(-22))*i))/i*i)**(18/11) assuming i is positive.
i**(360/11)
Simplify (f/(f**7/f))/f*f/(f**(-5/6)/f)*f**(3/5)/(f/(f/((f/(f/f**(3/5)))/f))) assuming f is positive.
f**(-13/6)
Simplify (i*i/(i**(-21)*i))/i*i/i**(-1/38) assuming i is positive.
i**(837/38)
Simplify (((v/(v/(v*v/(v*(v*v/(v*v*v/((v/(v*v/(v/(v*(v*v**(5/3))/v*v))*v*v))/v)*v)*v)/v))))/v)/(v/(v*v**(-5))))**(-2/17) assuming v is positive.
v**(-22/51)
Simplify b**(-15/4)/(b/(b*b**(2/19))) assuming b is positive.
b**(-277/76)
Simplify (r**(-2/7)*r**(2/3))**(-13/6) assuming r is positive.
r**(-52/63)
Simplify (f**1/(f/f**3))**(-8/9) assuming f is positive.
f**(-8/3)
Simplify z/z**24*z**(-2/7) assuming z is positive.
z**(-163/7)
Simplify b**(2/17)*b*b*b/(b*b**(2/9)*b)*(b*b**(-3/5)*b*b)/(b*((b**(2/15)/b)/b)/b) assuming b is positive.
b**(3949/765)
Simplify ((z/z**(-3))/((z**(-1/17)/z)/z*z))**(-25) assuming z is positive.
z**(-2150/17)
Simplify ((i/i**(4/5)*i)/i**2)**(25/2) assuming i is positive.
i**(-10)
Simplify (y**(1/10)/y**5)**(-18) assuming y is positive.
y**(441/5)
Simplify g**(19/5)*g*g**(-36) assuming g is positive.
g**(-156/5)
Simplify ((t/((t*t/(t/t**(-5/2)*t))/t))/t**9)**(-35) assuming t is positive.
t**(315/2)
Simplify (l**(-6)/(l/(l*(l/(l/l**(-5/2)))/l)))**2 assuming l is positive.
l**(-19)
Simplify g**(1/5)*g**(2/23)*g*g**(2/3)/g*g**(-2)*g assuming g is positive.
g**(-16/345)
Simplify (t*t**(-9/2))/(t**(-14)/t) assuming t is positive.
t**(23/2)
Simplify (u**(-2/5))**(8/17)/(u*u**0*u*u)**(2/13) assuming u is positive.
u**(-718/1105)
Simplify ((d**(-2/3)*d)/d**(2/23))/(d*d**(2/7))**(30/7) assuming d is positive.
d**(-17797/3381)
Simplify (s*(s**(-7/2)/s)/s)**(-39) assuming s is positive.
s**(351/2)
Simplify ((h*((h**1/h)/h*h)/h*h)**(-41))**(-19) assuming h is positive.
h**779
Simplify (w**12*(w/(w**(-1/35)*w)*w)/w*w)**(-9/5) assuming w is positive.
w**(-4104/175)
Simplify f**(-7)/(f/(f/f**(4/7)*f))*(((f*f**(1/3))/f)/f)/(f/f**(-8)) assuming f is positive.
f**(-341/21)
Simplify (r*r*r**(2/11)*r)**(-30) assuming r is positive.
r**(-1050/11)
Simplify q*q*q*q**(-14)*q*q*q**(3/4) assuming q is positive.
q**(-33/4)
Simplify (c**(5/3))**(-1/45) assuming c is positive.
c**(-1/27)
Simplify ((o**(-3/5))**(-47))**9 assuming o is positive.
o**(1269/5)
Simplify ((k**(2/3))**(2/125))**(-21/5) assuming k is positive.
k**(-28/625)
Simplify (k**(-20)*k)/(k**(8/11)*k*k) assuming k is positive.
k**(-239/11)
Simplify (h*h**(-3/16))**(-9/4) assuming h is positive.
h**(-117/64)
Simplify (c**(-3/8)/c**(6/7))/(c**9*c**(-9)*c) assuming c is positive.
c**(-125/56)
Simplify m**9/(m/(m/(m/m**(-23)))*m) assuming m is positive.
m**(-16)
Simplify ((v/((v*v*v*v**(-1/28))/v))/v)/v**(-1/4) assuming v is positive.
v**(-12/7)
Simplify ((t*((t**6*t)/t)/t)/t**(-1/25))**(-1/10) assuming t is positive.
t**(-151/250)
Simplify x**(-12)/x*x**(1/13)/x assuming x is positive.
x**(-181/13)
Simplify (((m/m**(2/25)*m)/m*m)**(3/4))**(-2/77) assuming m is positive.
m**(-72/1925)
Simplify (v**(29/3)*v)/v**(-2/41) assuming v is positive.
v**(1318/123)
Simplify r*r/(r*r**(8/11))*r*((r*r*r**(10/7))/r*r)/r*r assuming r is positive.
r**(362/77)
Simplify (t
|
{
"pile_set_name": "DM Mathematics"
}
|
/5, -3/5, b
Let w be (-24)/(-10) + 0 + -2. Let n = 47.8 + -53. Let y = n + 5. Sort -5/6, y, w in descending order.
w, y, -5/6
Let b = 2/7 - 31/84. Put -3, -0.4, b in descending order.
b, -0.4, -3
Let x = -1/45405 - 13141/90537570. Let v = x + 173977/2991. Let r = -58 + v. Sort r, 5, 0.
0, r, 5
Suppose 4*q + 5*w + 10 = 0, -2*q - w + 7 = -3*q. Let l(t) = -t - 8. Let y be l(-4). Sort q, y, 2.
q, y, 2
Let m = 0.07 + -5.07. Let x = 0.082 - 0.082. Sort m, x, 5 in ascending order.
m, x, 5
Let i = -25 - -25. Suppose -c - 4*c = i. Put c, -5, 4 in descending order.
4, c, -5
Suppose -2*u - 7*u = -9. Put -2, 9, u in descending order.
9, u, -2
Let v = 85 + -70. Sort 0.4, v, -2/17 in ascending order.
-2/17, 0.4, v
Let f be (1/(-2))/((-2)/16). Suppose 18 = f*c + 2. Sort 2/11, -2, c in increasing order.
-2, 2/11, c
Let i(j) = -j**3 + 7*j**2 - 6*j. Let r be i(6). Suppose -3 + r = -s. Put 2, 4, s in descending order.
4, s, 2
Suppose 3*f = -2*f - 2*d - 15, 0 = -2*f - 2*d - 6. Let g be f/10*8/6. Let x be -3 + ((-324)/96)/((-2)/2). Sort g, -2, x in decreasing order.
x, g, -2
Let k = -2 + -2. Let y = k + 7. Let s be 3 - ((-9)/(-2) + 0). Put s, 1/4, y in descending order.
y, 1/4, s
Suppose -4*u = 4*l - 24, -3*l - 5*u - 12 = -36. Let p be (-5)/l - 5/15. Suppose 4*y - 2 = -14. Sort p, -4, y in ascending order.
-4, y, p
Let j be 66/55*(-5)/(-2). Sort 5, 4, j, -7 in increasing order.
-7, j, 4, 5
Suppose -3 - 12 = -3*u. Sort 4, 0, u, -5 in decreasing order.
u, 4, 0, -5
Suppose a = -0*a. Let h = 0 - a. Sort 2, h, -5 in decreasing order.
2, h, -5
Let o = -0.7 - 0.3. Let n = -0.17 + -4.83. Let b = n + 7. Put b, o, 2/3 in ascending order.
o, 2/3, b
Let i = -36 - -110/3. Sort i, 5, 0.2, 0 in increasing order.
0, 0.2, i, 5
Suppose -5*h + 2*o + 4 = -52, 12 = -4*o. Suppose 2*a + h = -0*a. Put 2, a, -4 in decreasing order.
2, -4, a
Let o = 19.1 + -18.6. Put -0.8, o, 4 in decreasing order.
4, o, -0.8
Let j(t) = 3 - 1 + 4*t**2 + t**3 + 0*t**2. Let d be j(-4). Suppose i = 2*f + 7, i - 4*i - 4*f - 29 = 0. Sort d, i, 0.
i, 0, d
Let p = -19.9 + 19. Let n = p + 0.5. Sort 0.1, -1/7, n in descending order.
0.1, -1/7, n
Let g(z) = -z**3 - z**2 + 1. Let u = -7 - -8. Let h be g(u). Put -3, h, 3 in decreasing order.
3, h, -3
Let t be 57/(12/(-32)*-4). Sort 3, t, 1, 4.
1, 3, 4, t
Let r be ((-14)/105)/(-2 - (-23)/10). Put r, -3/7, 1 in descending order.
1, -3/7, r
Suppose 2*v = 2*i, 0*v = -v + 3*i - 8. Let o be 2/v - (-18)/(-4). Put 4, -3, o in decreasing order.
4, -3, o
Let s = -245 - -2207/9. Let v = -544579 + 21236287/39. Let y = -176/3 - v. Sort s, y, 0.3.
y, s, 0.3
Let m(i) = i**2 - 5*i + 2. Let t be m(5). Let v = 11/6 - 2. Sort -0.1, t, v in descending order.
t, -0.1, v
Let p = 3.9 + -6.9. Sort p, 1, 4, 0.4 in decreasing order.
4, 1, 0.4, p
Suppose 9*y - 10*y + 20 = 0. Suppose -5*b + 2*f - y - 8 = 0, -b - 3*f + 8 = 0. Sort -5, 4, b in increasing order.
-5, b, 4
Let g be 5 + -4 - (-2 + -7). Suppose 2*r = -3*s - g, -2*s - 4 = -s + r. Put s, -4, 1 in descending order.
1, s, -4
Let h = -1 + 1. Let z = 9 - 19. Let p = z - -9. Sort h, -2, p in increasing order.
-2, p, h
Suppose -2*z - 14 = 5*z. Sort 5, z, -4, -17 in decreasing order.
5, z, -4, -17
Suppose 0*t + 3*t + 4*o + 5 = 0, 47 = -5*t + 3*o. Let r(p) = p + 9. Let y be r(t). Let m = 10 - 6. Sort m, -2, y.
-2, y, m
Let p(s) = 13*s**2 + 20*s - 11. Let i(m) = 7*m**2 + 10*m - 6. Let a(c) = 11*i(c) - 6*p(c). Let z be a(-10). Put z, 2, -4 in increasing order.
-4, z, 2
Let w = 5 - 4. Let r = -5 + w. Sort 0, r, 2 in ascending order.
r, 0, 2
Let x(i) = -6*i - i**2 - 3 + 0*i + 0. Let n be x(-4). Let a be -1*((-6)/(-21) - 26/(-7)). Sort 0, a, n in descending order.
n, 0, a
Let q be (-4)/(-6)*(-5)/2. Let n be (-106)/(-22) + (-10)/(-55). Sort n, q, 0.1 in descending order.
n, 0.1, q
Let s be (-2)/6 - 31/(-3). Put 5, -2, s, -5 in descending order.
s, 5, -2, -5
Suppose -4*l = -g - 3, -4*l - l + g = -5. Let u = 0.04 - -0.26. Let f(r) = r**3 - 5*r**2 + r - 5. Let x be f(5). Put x, u, l in decreasing order.
l, u, x
Let f(o) = 2*o + 1. Let g be f(2). Suppose -g*w + 1 = 2*l - 4, 4*l - 2*w + 26 = 0. Let v(i) = -i - 5. Let u be v(-6). Put l, u, 5 in descending order.
5, u, l
Let n = 128 + -1662/13. Let u = 0.1 - 0.5. Let b = -0.06 - -0.06. Put u, n, b in ascending order.
u, b, n
Suppose -n - 3 = n - 3*m, 4*n + 2 = 2*m. Suppose 2*o = 3*s - n*o + 23, s + 5*o = 15. Sort 2, s, -1 in increasing order.
s, -1, 2
Let p(n) = 2*n**3 - 11*n**2 + 7*n - 6. Let q be p(5). Put 5, -33, q in decreasing order.
5, q, -33
Suppose -2*d + 0 - 16 = -2*x, 3*d + 3*x = 0. Let u be 22/4 + 2/d. Let z be 1/(-3) + (-2)/3. Put z, 4, u in increasing order.
z, 4, u
Let r = 27 - 27.2. Let d = -0.3 - 1.7. Sort d, 4, r in decreasing order.
4, r, d
Let t be -3*(-2)/(1 - 3). Suppose -p - 6 = 2*p. Let m be (-1)/4 - 3/(-4). Sort t, m, p.
t, p, m
Let g = -47 - -42. Put 0.03, -2, g in ascending order.
g, -2, 0.03
Let k = 37 - 35. Sort k, -9, -5 in descending order.
k, -5, -9
Suppose -2*w = 3*w - 20. Suppose -3*t + 14 = -h, -4*t - 23 = 2*h - 9*t. Put w, -3, h in descending order.
w, h, -3
Let z(t) = 5*t. Let m be z(-1). Let q = m + 2. Sort -1/4, q, -2/3 in decreasing order.
-1/4, -2/3, q
Let d(p) = p. Let k(x) = -4*x. Let v(q) = -10*d(q) - 2*k(q). Let u be v(-1). Put u, -4, 3 in descending order.
3, u, -4
Let q = 1.5 - 2.5. Sort 5/6, q, -5.
-5, q, 5/6
Let v = -1.79 - 0.21. Sort v, 5, 6.
v, 5, 6
Let r = 3 - 1. Suppose -6*t + t + 33 = -r*j, 20 = 4*t. Suppose 2*h - 4 = 4*f, f - 1 = -4*h - 2. Sort -2, j, f in increasing order.
j, -2, f
Let b be -3 + 7 + 14/2. Suppose -2*u + 2*s = s - b, -5*s - 40 = -5*u. Sort -3, u, 0.04.
-3, 0.04, u
Let c = -42 + 37. Put -4, 0, c in descending order.
0, -4, c
Let a be (-8)/(-12) + (-42)/9. Put 1, -3, 0, a in increasing order.
a, -3, 0, 1
Let h(y) = -y**3 - 7*y**2 + 10*y + 12. Let a(b) = 2*b**3 + 14*b**2 - 20*b - 24. Let t(m) = -3*a(m) - 5*h(m). Let j be t(-8). Put -1, 4, j in increasing order.
j, -1, 4
Suppose b = 3*k - 3, 5*b - 4*k + 4 = -0*k. Put -4, 3, b in increasing order.
-4, b, 3
Suppose 4*h + 4 = 4*l, 0*l + h - 7 = -3*l. Let r be (-10)/(-20) - (-2)/(-4). Sort r, 5, l in decreasing order.
5, l, r
Let l be (-116)/(-36) - 3*1. Let y be 1 + 1 - (-7)/(-3). Sort l, -0.2, y.
y, -0.2, l
Suppose i - 26 = 5*j + 4*i, -2*j - 2*i - 12 = 0. Let b be 2/(-4) + 14/44. Put j, -0.3, b in decreasing order.
b, -0.3, j
Let a = -4 + 5.5. Let b = -1.4 + a. Put b, 2, 0.2 in ascending order.
b, 0.2, 2
Let d be 39/33 - 2/2. Let t = 19 + -18. Put -1, t, d in descending order.
t, d, -1
Suppose -2*m - 7 + 3 = 0. Put -1, 0, m in descending order.
0, -1, m
Let d = 3 - 3. Sort d, 2, -2.
-2, d, 2
Let a = 83 - 86. Sort 5, a, 34.
a, 5, 34
Let o = 0.23 + 1.07. Let x = o + -1.6. Put x, 4/3, -1/4 in increasing order.
x, -1/4, 4/3
Let w = 185/8 - 23. Put w, 0.1, 13 in ascending order.
0.1, w, 13
Let d = 566 - 3964/7. Let m = -3/49 + 88/637. Sort d, 0, m in increasing order.
d, 0, m
Suppose -4*y = 4*f - 20, 0*f + f + 3*y - 9 = 0. Sort -5, f, -4, -3.
-5, -4, -3, f
Let o = 0.05 - -3.95. Let a = 1402 - 2753/2. Let d = a - 26. Sort o, 5, d.
d, o, 5
Suppose -2*v - 10 = 0, 2*i = 5*i - 3*v - 3. Let p = 14 - -1. Suppose 0 = -0*d + 5*d - p. Put d, -5, i in increasing order.
-5, i, d
Suppose -10 = 2*w, -5*j - 12 + 62 = 4*w. Suppose -5*y + 6 = -j. Suppose -3*a = -3*o + 24, a = 8*o - y*o - 23. Put -2, -3, o in descending order.
o, -2, -3
Let v = -491803/42 - -11709. Let p = 3/7 + v. Sort 0, 2/5, p.
p, 0, 2/5
Suppose -4*d = -2*d - 2. Let a = -3 + d. Suppose -1 = -q + 2*r, 0*q = q + r - 1. Sort -4, a, q in ascending order.
-4, a, q
Suppose -4 = 6*s + 8. Put -5, -3, 5, s in descending order.
5, s, -3, -5
Suppose 0 = y - 6*y. Suppose 5*x - x - 3*u - 29 = 0, y = -5*x - u + 22. Put x, -5, -3 in descending order.
x, -3, -5
Let w be (3*5)/((-3)/(-4)). Suppose 0 = -2*t + 8. Suppose -j = -4*q - 5, j + 3*j - w = t*q. Sort 4, q, -5 in increasing order.
-5, q, 4
Let h(u) = 3*u**2 + 2*u - 2. Let w(d) = -4*d**2 - d + 3. Let f(q) = 3*h(q) + 2*w(q). Let b be f(-2). Sort -0.2, b, 4 in decreasing order.
4, -0.2, b
Suppose -2*s - 5*b + 9 = 0, 3*b + 1 = 5*s - 6. Suppose -v + s = v. Put v, -4, -2 in descending order.
v, -2, -4
Let p = 0.074 + 27.926. Sort -5, p, -0.5 in descending order.
p, -0.5, -5
Suppose -2 = n + 2. Suppose -4 + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
iple of 15?
True
Let i(d) = 5*d**2 - 3*d - 4. Let b be i(4). Let t = 38 - b. Let j = -10 - t. Is 16 a factor of j?
True
Let r be ((-18)/(-5))/((-6)/(-60)). Suppose -4*i + 4*y + r = 0, 5*i + 2*y + 3 = 69. Is 6 a factor of i?
True
Suppose 0 = 2*y - 0 - 18. Suppose 0*q + y = 3*d + 3*q, -4*d + 12 = -5*q. Suppose a = -4*k + 8, d*k - 4*k = -4*a + 117. Is a a multiple of 15?
False
Suppose 0 = 3*x - 7*p + 3*p - 33, 4*x - 4*p - 40 = 0. Suppose -4*l + 161 = -x. Does 14 divide l?
True
Suppose 4 = -5*s - 1. Let k be (0/((-1)/s))/2. Suppose k = m - 2*m + 20. Is m a multiple of 8?
False
Let q = 9 + -7. Suppose 117 - 47 = 5*o + 2*h, -q*h - 50 = -5*o. Does 4 divide o?
True
Let c be 1/(-3) + 200/24. Suppose -c + 36 = 2*m. Suppose -3*o + m = -49. Is 11 a factor of o?
False
Suppose j - 7 + 2 = 0. Suppose 5*t + 45 = 4*u - 0*t, -j*t - 40 = -3*u. Is 5 a factor of u?
True
Suppose j + d = 190, 6*j - 938 = j - d. Is 40 a factor of j?
False
Let h be (1/2)/((-2)/(-8)). Is ((-12)/15 + h)*15 a multiple of 16?
False
Let m = -20 - 20. Let p = -29 - m. Does 3 divide p?
False
Let a be (1/(-2))/(3/(-744)). Suppose -4*r + 0*r = -a. Does 15 divide r?
False
Suppose -3*m + 622 = 2*v, 5*m + 5*v = 3*v + 1030. Is 22 a factor of m?
False
Let x be 1 + -1 + 21 - 0. Let k = -9 + x. Is k a multiple of 4?
True
Suppose -2*r = -4*k + 3*r - 17, 8 = -4*k - 4*r. Let b be (-488)/(-12) + 2/k. Suppose b = -4*f + 104. Does 8 divide f?
True
Suppose -3*h + 5*g = 3, -4*g = 2*h - 2*g - 14. Let m be 30/((-2)/h*2). Is 3 a factor of -4*(3 + m/8)?
True
Let y = -10 - -52. Let p = y - 59. Let g = p - -30. Is 6 a factor of g?
False
Let w(m) = m - 4. Let s(d) = 2*d - 4. Suppose -4 - 4 = -2*q, 2*y - q = 2. Let u(f) = y*w(f) - 4*s(f). Is u(-11) a multiple of 23?
False
Suppose -3*i - 3 = 0, -2*n - 2*i + 169 = -81. Does 9 divide ((-12)/(-14))/(3/n)?
True
Is (5/(-2))/(3/(-134 + -4)) a multiple of 19?
False
Suppose 0*r - 2*r + 73 = v, -2*v + 134 = -2*r. Does 12 divide v?
False
Let z(l) be the first derivative of -l**4/4 + 7*l**3/3 - 5*l**2/2 + 6*l - 4. Does 4 divide z(6)?
True
Let d(a) = 3*a**2 + 10*a - 5. Let j be d(-4). Let i = 6 - 4. Suppose i*u = -j*u + 75. Is 9 a factor of u?
False
Let s(u) be the second derivative of u**3/3 + u**2/2 - 2*u. Let r be s(1). Suppose 20 = -q + r*q. Does 5 divide q?
True
Let y(n) = n**3 + 5*n + 0 - 5 + 0 - 6*n**2. Let f be y(5). Does 20 divide f/4*64/(-2)?
True
Suppose -6*d - 4*g - 164 = -9*d, 4*d = 5*g + 219. Is d a multiple of 18?
False
Let i(o) = -3*o**3 - 4*o**2 - o + 4. Let q be (1 - 0)/((-2)/(-14)). Let a = -10 + q. Does 17 divide i(a)?
False
Suppose 0 = 3*j - 2*z + 3*z - 88, 0 = -2*j + 3*z + 55. Suppose -3*s + 0*s + 423 = 0. Suppose -j + s = 4*o. Is 14 a factor of o?
True
Suppose -5*c + 18 = -2*i, 3*c + 3*i = 2*c - 10. Suppose -128 = -c*g - 8. Does 19 divide g?
False
Suppose r - 1 = -l, -2*l = -2*r - r + 13. Let g(k) = 4*k**r + 4*k**2 - 5*k + 0*k - 1 - 3*k**3 + k**2. Is g(-5) a multiple of 12?
True
Let r(x) = x**3 - x + 2. Does 8 divide r(3)?
False
Suppose -8*p = -4*p + 240. Let u = p - -100. Is 16 a factor of u?
False
Suppose -2 = 3*g - 11. Suppose -2*z + g*q = -169, 0*z - 3*z - 2*q = -273. Is z a multiple of 25?
False
Let w(n) = n**3 - n**2 - 1. Let q be w(2). Suppose q*r - 51 = -4*s + s, -2*s = 4. Let c = -10 + r. Is 3 a factor of c?
True
Let g = 49 + -86. Let h be (183/(-9))/(4/(-12)). Let b = h + g. Is b a multiple of 8?
True
Suppose 2*f - 125 = 5*c, 2*f - 6*c = -3*c + 115. Suppose 3*l - f = 10. Is l a multiple of 17?
False
Let j(w) = -6. Let u(b) = -b + 13. Let n(o) = -9*j(o) - 4*u(o). Let k be n(-3). Is (-23)/(-5) - 4/k a multiple of 3?
False
Let i(p) = -2*p - 9. Let h be i(-6). Let g be (-3 + h)/(4/2). Suppose g = -d - 1 + 32. Is 12 a factor of d?
False
Is 29 a factor of ((-3255)/6)/(-5) - 2/(-4)?
False
Suppose 2*s - z = -0*z - 14, 4*z = 2*s + 14. Let h(u) = 3 - 4*u - 3*u - u + 7*u. Is h(s) a multiple of 5?
True
Suppose -4*h - 36 = -4*b, -h - 5*b + 0*b = -9. Let k(z) = z**2 + 4*z - 8. Let p be k(h). Suppose -f - p*x = -2*f - 10, 2*f = -5*x + 45. Is 5 a factor of f?
True
Let b(q) = 6*q**2 - 5*q + 4. Let g be b(3). Suppose 3*t - 64 = -i - i, g = t + 5*i. Is t a multiple of 8?
False
Let y(r) = r**3 - r**2 - r. Let j(p) = 2*p**3 - 9*p**2 + 3*p + 8. Suppose 3*b = -4*c - 15, c + 9 = -5*b + 1. Let h(n) = c*y(n) + j(n). Is 15 a factor of h(-7)?
True
Suppose -4*c - 3*a + 4 = -5*a, 13 = 3*c + a. Is c a multiple of 2?
False
Does 9 divide (1 + 2)/(2/12)?
True
Let n be -3 - (-8)/(-2)*-1. Does 17 divide ((-60)/8 - n)*-8?
True
Suppose 3*i - 8 = -i. Suppose 0 = -i*o + y + 3*y + 4, -3*y + 10 = 5*o. Suppose -2*s + 53 = 3*f, o*f + 3*s + 2 = 44. Is f a multiple of 7?
False
Does 31 divide (-6)/(-4)*(-248)/(-6)?
True
Suppose 3*n - 10 = n. Suppose -q + 10 = z, 5*q - n*z = -0*q. Is q a multiple of 2?
False
Let u = 112 - 90. Is u a multiple of 6?
False
Suppose -2*x - 4*r = -9*r + 11, -3*r = -2*x - 5. Let s be 3/(-12)*2*x. Does 6 divide 11 + 2/(s - 1)?
False
Let j be 1 - 21/(12/4). Is j/10 + (-386)/(-10) a multiple of 22?
False
Let q(f) = f + 31. Does 11 divide q(0)?
False
Suppose 0 = -0*c - 2*c + 8. Suppose 3*p - 29 = -c*b, 0 = 5*p + 4*b - 17 - 34. Is p a multiple of 4?
False
Let s be 35/14*6/5. Suppose s*r - r - 14 = -2*g, -2*g + 3*r - 1 = 0. Does 2 divide g?
True
Let l(t) = -t**3 + 15*t**2 - 15*t + 20. Does 5 divide l(14)?
False
Let q be (2 + 0/(-2))/(-2). Let g be 1/(5/6 + q). Let k(u) = -u. Is 5 a factor of k(g)?
False
Let f(c) = -c + 2. Is f(-10) a multiple of 3?
True
Let c(r) = -5*r - 4*r**2 - 1 - r**2 + 2 - r**3. Let z be c(-4). Suppose 0 = -z*y + 97 + 63. Does 20 divide y?
False
Let w = -333 + 505. Is 15 a factor of w?
False
Let d = 3 - 1. Suppose 0 = -6*l + d*l - 132. Let x = l - -61. Is x a multiple of 14?
True
Suppose -2*l + 24 = 2*l. Is 29/4 + l/(-24) a multiple of 3?
False
Let t be (2/2)/(3/(-6)). Let m be 17*t*(0 - -1). Let a = m - -56. Is a a multiple of 8?
False
Let v = 73 - 37. Is v a multiple of 9?
True
Suppose -10*k - 60 = -15*k. Is k a multiple of 2?
True
Suppose 8 = f - 3*w, 2*f + 0*w = -2*w. Suppose 2*l - x = 19, f = -3*l + 2*x + 33. Is 2 a factor of l?
False
Let t be 2 + 0 + 2 + -2. Let k(u) = -u**t + 4*u**2 - 1 + 0. Is k(2) a multiple of 11?
True
Let i(a) = a**2 + 12*a - 4. Is 15 a factor of i(-15)?
False
Let x(k) = -30*k - 3. Is 9 a factor of x(-1)?
True
Suppose -285 = -2*b + k, 4*k = -13*b + 9*b + 564. Is b a multiple of 56?
False
Let v(w) = -7*w - 40. Is v(-12) a multiple of 8?
False
Let g(z) = -z**3 + 6*z**2 + 10*z - 7. Is 3 a factor of g(7)?
False
Suppose 31 + 37 = 4*a. Suppose -c + a = -14. Is 12 a factor of c?
False
Suppose 2*p = q + 1, 2*q + 0*p + 2 = 5*p. Let g be 1673/21 - q/3. Suppose -g = -4*k - k. Does 8 divide k?
True
Suppose -22*y = -19*y - 840. Is 40 a factor of y?
True
Let l be ((-2)/(-3))/((-6)/(-45)). Suppose l*j - 5 = 5*v, -4*j - 4*v + 44 = -0*j. Let s(r) = r**3 - 5*r**2 - r - 2. Does 14 divide s(j)?
True
Suppose 0 = 9*b + 4*b - 2028. Is 39 a factor of b?
True
Let y(z) = -z - 8. Let i be y(-8). Suppose i*q - 145 = -5*q. Suppose n - b - 20 = 0, q = n - 0*n - 4*b. Does 7 divide n?
False
Suppose 2*r = -4*c + 14, -1 + 7 = 3*c + 3*r. Is c a multiple of 2?
False
Let l(o) = o - 2. Let t(s) = s + 1. Let r(c) = 6*l(c) + 6*t(c). Does 21 divide r(5)?
False
Let c(f) = 25*f + 27. Does 19 divide c(4)?
False
Let r be 6*((-10)/(-4))/5. Suppose -3*f + 53 = o, 0 = 3*f - 5*f + r*o + 28. Does 17 divide f?
True
Let l(a) be the third derivative of 0 - 1/24*a**4 + 2*a**2 + 0*a + 8/3*a**3. Is l(10) a multiple of 3?
True
Let w(z) = -z + 20. Suppose 0 = 2*x - 3*g - 12, -2*g = -0*g + 8. Does 10 divide w(x)?
True
Suppose u - 4*t = -u - 12, 2*u + 4*t = 20. Let x(g) = 3*g**3 - 2*g**2 + g + 1. Let p be x(u). Let h = p - 10. Is h a multiple of 9?
True
Is 18 a factor of 19 + 2*1*11/(-22)?
True
Suppose -5*f = 2*i - 59, -2*i - 2*f = 3*i - 200. Is i a multiple of 14?
True
Let h(b) = 2*b**2 + 5*b + 6. Does 7 divide h(-5)?
False
Let a be (3 - 4 - -3)*-1. Is 2 + (11 - a) + 0 a multiple of 15?
True
Is 20 - 4 - 12/(-4) a multiple of 2?
False
Let n(h) = 3*h**3 + 3*h**2 + 5*h - 6. Is n(3) a multiple of 13?
True
Is 2 a factor of 2/(-36)*-94 + (-12)/54?
False
Let c(d) = -d - 2. Let u be c(-4). Suppose -u*n - 3*n = -30. Suppose n*j = 2*j + 32. Is j a multiple of 8?
True
Let h(o) = o**2 + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
v(-5) and z.
9
Let z(i) = i**3 - 2*i. What is the least common multiple of z(2) and 20?
20
Let u(z) = -z + 3. Let i be 2/5 - 8/20. Let w be u(i). Calculate the common denominator of 95/6 and 43/20 - w/(-6).
60
Let n = -4 - -10. Let c = 17 + -1. Calculate the common denominator of 3/2 - 60/c and n.
4
What is the common denominator of (-10)/(9*4/(-51)) and -89/10?
30
Let l be (9/(-3))/(-3)*-282691. Let j = -3107538/11 - l. Let k = j + -187. What is the common denominator of -61/9 and k?
99
Let d = -1004/129 - -67951/4902. Let j = d - -84/19. Calculate the common denominator of 17/7 and j.
14
What is the lowest common multiple of 14 and (-11)/(-22) + (9/2)/3?
14
Let q be ((-6)/9)/(4/(-66)). Suppose 2*a - q = 3. Calculate the common denominator of 47/10 and 2 - (a/8 - -2).
40
Let b(g) = 2*g - 3*g + 1 + 0*g. Let j be b(6). Let y(u) = -u - 3. Calculate the lowest common multiple of y(j) and 7.
14
Suppose m - 3 = 1, -9 = -5*r + 4*m. Suppose 0 = a + 2*j + 41 - r, -3*j + 46 = -a. Calculate the smallest common multiple of 22 and ((-2)/5)/(1/a).
176
What is the smallest common multiple of 30 and (-6)/((-66)/295) - 2/(-11)?
270
Let q = -9945 - -178891/18. Calculate the common denominator of -93/14 and q.
126
Let r = 250711/20 - 12531. Let n = -1685/728 - 11/182. What is the common denominator of r and n?
40
Suppose 5*d + 45 = 2*h - 7*h, -h + 7 = -d. Let w = -5 + 2. Let s = w - d. Calculate the smallest common multiple of s and 5.
5
Calculate the common denominator of -29/2 and (348/(-8)*1)/(-5).
10
Suppose -3*c = -4*u - 58, 0*c + 78 = 4*c - 5*u. What is the smallest common multiple of 22 and c?
22
Suppose -5*n + 61 - 1 = 0. Suppose t + 4*t - 5 = 0. Calculate the least common multiple of n and 18 - (0 - 1 - t).
60
Let g(c) = -8*c**3 + 2*c**2 + 2. Let n be g(3). Let k be ((-18)/7)/(21/n). What is the smallest common multiple of (k/20)/(1/5) and 10?
30
Let q = -305917/7 - -43834. Let o = q - 9371/70. Calculate the common denominator of o and (-1)/(-4) - 2/(-4).
20
Let k be ((-1)/(-2))/((-6)/(-480)). Suppose 0 = -2*c + k + 4. Calculate the least common multiple of 8 and c.
88
Let l(z) = z**2 + 7*z - 1. Let r be l(-7). Let s = -11003 - -242171/22. Calculate the common denominator of s and (67/(-12)*1)/r.
132
Let o(h) = 8*h**2 - 11*h - 3. Let a be o(8). What is the common denominator of a/(-72) - 24/(-108) and -43/2?
8
Suppose -9 = -l + 11. Calculate the least common multiple of l and 10.
20
Let s = 423/8 + -117/2. Let l = 734 + -2231/3. What is the common denominator of s and l?
24
Let l = 66 - 56. What is the least common multiple of 14 and l?
70
Let w = -16 + 32. What is the common denominator of -61/5 and (3/w)/((-6)/100)?
40
Let o(b) = -12*b + 1. Let u be o(-7). Suppose 5*v - u = 85. What is the lowest common multiple of v and 6?
102
Let f be (-1 - 33) + (0 - -1). What is the common denominator of (-2)/(-3) - (-64)/f and -31/8?
88
Let z = 1277 + -7693/6. Calculate the common denominator of z and 19/22.
66
What is the lowest common multiple of 45 and (100/(-30))/(1/(-18))?
180
Let h be 6987 + (-4)/(-2) + -1. Let q = -42061/6 + h. Calculate the common denominator of q and (-3)/(-12) - 82/24.
6
Let d be ((8/2)/(-4))/1667. Let u = d + -38323/30006. What is the common denominator of u and (-1)/(-4) - 54/16?
72
Let k be 2/(-4) - 196/(-8). Let f = -14 + k. Let i = f - 5. What is the least common multiple of 9 and i?
45
Calculate the least common multiple of 8 and (-1 + 2)/((-4)/(-44)).
88
Let h(m) = m**3 + 11*m**2 + 8*m + 7. What is the lowest common multiple of h(-10) and 2?
54
Let r(s) = -2*s - 6. What is the smallest common multiple of 20 and r(-10)?
140
Let q be 6/27 - (-248)/18. Calculate the smallest common multiple of ((-2)/4)/(6/(-264)) and q/(-35)*-7*5.
154
Let g = -690769/44 - -15697. What is the common denominator of -23/48 and g?
528
Let w(b) = -2*b. Let h be w(-1). Suppose y = 5*x + 28, -h = -y - 4*x - 19. Let v = y - -7. Calculate the least common multiple of v and 10.
10
Find the common denominator of 1/(6/134) - 16/24 and -41/10.
30
Find the common denominator of (1172/90)/2 + 44/(-110) and -67/16.
144
Let j = 3 - -4. Let m = 9 + -4. Suppose 2*p + 7 + 1 = -g, m*g + 2*p = 0. Calculate the lowest common multiple of g and j.
14
Let k be -1 + 4/((-3360)/9729). Let y = -16/35 - k. What is the common denominator of y and 7/4?
8
Calculate the common denominator of (-590)/50*(-10)/(-12) and -17/9.
18
Let s = 4170 + -29142/7. Calculate the common denominator of 20/19 and s.
133
Suppose 2*j = j. Suppose j = r + 43 - 400. What is the common denominator of (r/18)/7 + -1 and 117/10?
30
Let d = 38 - 33. What is the least common multiple of 4 and d?
20
Let z = 61 - 39. What is the lowest common multiple of z and 16?
176
Let z(o) = o - 1. Let u(q) = 4*q**2 - 17*q + 3 + 9*q + 5. Let j(x) = u(x) + 8*z(x). Calculate the least common multiple of 20 and j(1).
20
Suppose p - 10 = 2*a - 0*a, -p = -3*a - 17. Let q(b) = -b - 4. Let t be q(3). Calculate the smallest common multiple of 1 and a/(t/10) + -2.
8
Suppose -5*s - 12782 = -38617. Let p = s + 2372. Let o = p - 150897/20. Find the common denominator of o and 77/20.
20
Let w(l) be the second derivative of -l**3/6 + 11*l**2/2 + 4*l. Let b be w(-9). Calculate the common denominator of -49*(1/b - 0) and 97/2.
20
Let f(n) = n**3 - 6*n**2 - 9*n + 21. Calculate the smallest common multiple of f(7) and 9.
63
Let u = 8 - 6. Suppose 0 = -u*r + 2. Suppose g - 2*v = 5 - r, 2*g + v - 23 = 0. What is the smallest common multiple of 4 and g?
20
Let c(q) = -3*q + 2. Let w(r) = -7*r + 5. Let p(b) = -5*c(b) + 2*w(b). Let u be (-2)/(-1)*(-3)/(-2). Calculate the smallest common multiple of 11 and p(u).
33
Suppose 0*j + j - 36 = -4*v, -v = -5. Find the common denominator of 3*j/18 + 0 and 73/6.
6
Suppose 113200 = -3*d - 2*d. Let y = -452921/20 - d. Calculate the common denominator of 2/5 - (-63)/330 and y.
220
Let j(z) = 4*z + 2. Let x be j(-2). Calculate the lowest common multiple of 11 and 92/20 + x/10.
44
Let f be (1 - 2)*(-3)/3. Let z(p) = p**2 + 3*p. Let o be z(-3). What is the common denominator of o + 134/(-16) + f and -26?
8
What is the common denominator of (-211)/(-180) + (-16)/72 and -63/10?
20
Let a = -827224/3 + 285744. Let n = a + -332293/33. Let h = n - -11551/176. Calculate the common denominator of h and 133/18.
144
Calculate the smallest common multiple of 20 and (-254)/(-14) + (-11)/77.
180
Let v = -6913 - -41629/6. Let x be 1898/(-5)*(-5)/3. Let r = 3947/6 - x. What is the common denominator of r and v?
6
Let f = -6 - -2. Calculate the common denominator of 357/f*14/105 and -19/10.
10
Let o be ((-8)/10)/((-2)/(-5)). Let y be ((-6)/(-4))/(o/12). Let j = -1 - y. What is the lowest common multiple of j and 2?
8
Let v = -15649/12 + 2601/2. What is the common denominator of v and -19/20?
60
Suppose 46 = 4*z - 4*t + t, 5*z = -3*t + 44. Calculate the least common multiple of 20 and z.
20
Let u = -292 + 2331/8. Calculate the common denominator of u and 113/40.
40
Suppose w = 2*w - 44. Find the common denominator of (-12)/(-66) - 679/w and 2/7 - (-393)/70.
20
Let x(a) = -a**2 + 8*a - 4. Let v(p) be the first derivative of p**2/2 + 17*p - 1. Calculate the least common multiple of x(6) and v(-9).
8
Let t be (3/(-9))/(2/(-174)). Let n = 61 - t. Let h = n - 12. What is the smallest common multiple of h and 12?
60
Let o(b) = -2*b - 4. Suppose -4*s + 3*t = 44, s + 4*s - t = -44. Calculate the lowest common multiple of 18 and o(s).
36
Let y = -1155/43 + 27. Let k = y + 3987/86. Calculate the common denominator of k and -5.
2
Suppose -6*f = -10*f + 4. What is the common denominator of 34/(f*(-1 - 0)) and -41/3?
3
Suppose 10 = -f + 5*f - 3*u, -24 = -5*f - 2*u. Suppose 3 = -3*c + 9. Calculate the least common multiple of c and f.
4
Let h = 2784385/107 + -26022. Calculate the common denominator of 77/8 and h.
856
Let o = 17/21 - 107/14. Calculate the common denominator of o and 23/8.
24
Suppose 0 = -o + 3*c + 10, -3*o - c = -2*c - 62. What is the least common multiple of o and 36?
396
What is the least common multiple of 14 and (-207)/(-18) - ((-3)/2 + 1)?
84
Suppose 2*r - 5 = r. Suppose r*u + 2*h = -32924, -u - 32916 = 4*u - 2*h. Let m = u - -92287/14. What is the common denominator of 37/8 and m?
56
Let x = 9283/42 - 656/3. Find t
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -3*o - 4*b = b - k, -2*o + b = -6. Suppose 0 = -0*q - o*q + 2235. Is q composite?
True
Let m(c) = -2383*c - 1656. Is m(-11) prime?
False
Let z = 17087 - 7436. Is z composite?
True
Suppose 3051650 = 58*t + 21*t - 2262759. Is t composite?
False
Let a(g) = g**2 - 5*g + 6 - 2*g**2 - 3 - 17*g**3. Let z = -3997 + 3995. Is a(z) a prime number?
False
Let u = 19 + -23. Let l be 0/(u/12*3). Suppose -8*v + v + 1897 = l. Is v prime?
True
Suppose 6*l - 10*l = 64. Let q be l/(-20)*(-445)/(-4)*46. Suppose 0 = 7*f - q - 5139. Is f a composite number?
False
Suppose -30 = c - 28. Is 108058/97*(0 - 11/c) a prime number?
False
Let b = 20 + -10. Is 269/((16/b)/8) composite?
True
Let c(i) = -10*i**3 - 8*i**2 + 32*i + 51. Let h be c(-34). Suppose -43*n = -h - 520288. Is n prime?
True
Let n = 67928 + -38449. Is n a composite number?
True
Let m(g) be the second derivative of g**7/504 - 7*g**6/720 + 7*g**5/120 + 2*g**4/3 + 4*g. Let y(n) be the third derivative of m(n). Is y(4) a prime number?
True
Let l be (96543/(-36))/((-1)/(-4)). Let m = l - -15448. Is m a prime number?
True
Let h = 756 - 1267. Let r = 2948 + h. Is r a prime number?
True
Is (-22)/(286/11700377)*(1 + -2) composite?
True
Let s = 469395 - 264166. Is s a composite number?
True
Let m = -683826 + 1069483. Is m composite?
False
Let h = 97116 + -21589. Is h a composite number?
False
Let y(q) = -q**2 - q + 24. Let n be y(4). Suppose n*w + p - 6626 = 0, 2*p + p = 3*w - 4977. Is w composite?
False
Let w = 84 - 96. Let n be 51/21 - w/(-28). Suppose 0 = -n*h - z + 794, -5*h + 4*z = -10*h + 1985. Is h prime?
True
Let r be 862 + 8 + 8/(-2). Suppose -3*z + 5*i + 1027 = 0, 4*z + 2*i = r + 538. Suppose -33 = 4*y - z. Is y a prime number?
True
Suppose 5*n - 4*n - 4*v = -8, -n - 5*v + 10 = 0. Let z(x) = x**3 + 70. Let h be z(n). Suppose -h = -2*i + 516. Is i a composite number?
False
Let y be ((-28)/140)/((-2)/170). Suppose 5*g = -s + 241750, -3*s = -y*g + 15*g + 96683. Is g a composite number?
True
Suppose 4*h = -5*p + 545, -4*p - 4*h = 183 - 615. Let t = 3090 - p. Is t a composite number?
True
Let n(z) = 5392*z**2 + 353*z + 1401. Is n(-4) prime?
False
Let l = 701009 - 352392. Is l prime?
True
Suppose -11522 = -4*w + 5*j - 7*j, 2*j - 14402 = -5*w. Suppose -3*a = -3*t - w, a + 0*a = 2*t + 965. Is a prime?
False
Let j be 2/2*9*6/(-9). Let n(f) = -9*f**3 - 5*f. Let h be n(j). Let r = h + -1096. Is r composite?
True
Let u(s) = 10066*s**2 - 52*s - 37. Is u(6) a prime number?
True
Suppose 3362 = r - 4*y, 7*r = 4*r + y + 10141. Let a = 7371 - r. Is a a prime number?
True
Let u(p) = 4*p**3 - 6*p**2 + p - 1869. Let q(v) = -13*v**3 + 21*v**2 - 4*v + 5609. Let w(f) = -2*q(f) - 7*u(f). Is w(0) composite?
True
Let w = 481373 - 318556. Is w composite?
True
Suppose -6 - 4 = -5*z. Suppose z*v = 3*v + 280. Let i = v - -435. Is i prime?
False
Suppose -7*i + 635 + 5420 = 0. Suppose -5*p = 11*p - 6528. Let w = i - p. Is w a prime number?
True
Let f(j) = 32*j**3 - j**2 - j + 1. Let p be f(1). Let q = p - 59. Is -699*3/(36/q) composite?
True
Suppose 6*w + 11 - 281 = 0. Let l be (w - -1) + 1 - 4. Let y = -18 + l. Is y composite?
True
Let h = 422769 - 232406. Is h a composite number?
True
Let d(w) = 12*w**3 + 77*w**2 + 88*w + 157. Let p(f) = -7*f**3 - 39*f**2 - 44*f - 79. Let v(y) = -3*d(y) - 5*p(y). Is v(-37) a composite number?
True
Let k = 112727 + 123882. Is k composite?
False
Suppose 4*h = 5*o - 5 - 12, -4*o + 28 = 4*h. Suppose 3*j + c = 3065, -h*j + j - c + 1021 = 0. Suppose z + x = 1281, x + 251 + j = z. Is z a composite number?
False
Let j = -196 + 76. Let q = j + 120. Suppose 10*v - 14*v + 3676 = q. Is v prime?
True
Let z(w) = -w**3 + 5*w**2 - 12. Let j(b) = 3*b**3 - 15*b**2 + 35. Let d(x) = 6*j(x) + 17*z(x). Let v be d(5). Suppose -v*n + 5*n + 145 = 0. Is n composite?
True
Let h = 1389 + -548. Is h a composite number?
True
Let c(f) = 13*f**3 + 3*f**2 + 23*f - 22. Let s be (-35)/21*3*-1. Is c(s) a prime number?
False
Suppose -3*k - 2*c = -1278197, -c - 3232422 = -5*k - 1102124. Is k a composite number?
False
Let n be (-1 + (-3)/(-6))/(1/(-84)). Suppose 5*o - 313 = n. Suppose 4*f + o = 5*i - 44, 115 = 5*i - 2*f. Is i prime?
True
Suppose 5*k = -4*u + 605896, 138*k - 137*k = 4*u - 605872. Is u prime?
False
Suppose 0 = 6*c + 3*c - 27. Suppose -c*r - 7 + 31 = 0. Is (2342/8)/(2/r) composite?
False
Let a = 1785 - -16214. Is a a prime number?
False
Suppose 15*w - 178*w + 352582 + 33749137 = 0. Is w a prime number?
True
Suppose -10*g = -14*g + 696. Suppose -5*i - 3*q + 1106 = 0, -i + q + g = -52. Let h = i + 84. Is h a prime number?
True
Suppose 517*u - 520*u = 33. Is (8247/3 - 0)/(u/(-33)) composite?
True
Suppose 40*j - 5*j = 202720. Let g = j + -2745. Is g a prime number?
False
Let z be 29/(-6) + 3*3/(-54). Let h be 184770/z - 4/(-1). Is h/(-18) - 10/(-45) composite?
False
Is 12689*69 + (-14 - -10 - 1 - -7) composite?
False
Suppose -3*n = -3*h - 2840724, 0 = -10*n + 7*n + h + 2840710. Is n a composite number?
False
Let x = 26 - 21. Suppose -x*u = -3*u - 6. Is (-1262)/u*(-21)/14 a prime number?
True
Suppose 9*m = 11*m - 84. Let o be (-15)/(-35) + (-3)/(m/(-20266)). Let p = -1005 + o. Is p prime?
True
Suppose 14*v + 2*i = 11*v + 753, -4*v + 3*i + 1021 = 0. Let n = 264 - v. Is n composite?
False
Is ((-191606)/(-14))/(442/3094) prime?
True
Suppose 291*i - 288*i - 82863 = 0. Let s = i - 13030. Is s a prime number?
True
Let y(p) = p**3 + 39*p**2 - 365*p + 365. Is y(64) a composite number?
True
Let d(b) = 29*b**2 - 76*b + 4. Let w be d(-5). Suppose -m + 4036 = w. Is m composite?
False
Suppose 3*i - 100269 + 9681 = 0. Suppose -36*c + i + 8288 = 0. Is c composite?
False
Let j(r) = -1333*r + 165. Let c be j(-21). Let i = 42871 - c. Is i composite?
False
Suppose -4*y - 8 = 0, 4*i + 5*y + 48 - 6 = 0. Let a(c) = 142*c**2 - 14*c + 27. Is a(i) a composite number?
False
Suppose 28*b - 31*b - 3*p = -190914, -2*b + 127278 = 4*p. Is b prime?
False
Suppose -242*o = -246*o + 16. Suppose -4*d = 3*z - 8*d - 27307, -o*d + 18238 = 2*z. Is z composite?
False
Let x be 0 + 3*1 + (-14 - -14). Suppose 5*m = -2*r + x*r - 652, -2*r + 1280 = 2*m. Let n = -227 + r. Is n prime?
False
Let a(y) = 11*y**3 + 3*y**2 - 2*y + 17. Let o be a(-5). Let t = -556 - o. Let j = t + -380. Is j composite?
False
Let z = -47 - -49. Let i be z - (11 - 3)/(-2). Let h(t) = t**3 - 4*t**2 + 2*t + 3. Is h(i) composite?
True
Let r(c) = -11464*c - 5359. Is r(-98) a prime number?
True
Let c(b) = -4*b - 3. Let a be c(-2). Let t = 24694 + -16931. Suppose t = a*g - 2372. Is g composite?
False
Let n(y) = 9631*y**2 + 15*y - 25. Is n(-3) a prime number?
False
Let u(w) = 33*w**2 + 19*w - 11. Let c(y) = y + 17. Let h be c(-14). Suppose h*a + 23 = -4. Is u(a) prime?
False
Let a(r) = -4*r**2 + 6*r - 43. Let o(n) be the third derivative of -3*n**5/20 + n**4/2 - 29*n**3/2 + 18*n**2. Let s(l) = -5*a(l) + 2*o(l). Is s(20) composite?
True
Let f = 291077 + -191116. Is f a composite number?
False
Let a(l) = -2*l**3 + 5*l**2 - 2*l + 8. Let x be 45/(-15) - (-6 + -1). Suppose -s + 4*g - 7 = 0, x*s + 3*g = -0*g - 28. Is a(s) a composite number?
False
Let y = 4075 - -297. Suppose -704 - 2561 = 3*x + 5*j, 4*x + y = -2*j. Let f = x + 1784. Is f a composite number?
True
Let t(o) = o**2 - o + 8292. Let j be t(0). Let f = 1047 - 1047. Suppose 8*r - 20*r + j = f. Is r a prime number?
True
Is (-1516)/(21/(882/(-60))) + (-1)/5 a composite number?
False
Is 2/10 - (2118580/250)/(4/(-60)) a prime number?
False
Let y(o) = 4026*o**2 - 9*o + 58. Is y(7) a composite number?
False
Let f(p) = -3*p - 4 + p + p + 2*p. Let u be f(1). Is (4293 - -1)*u/(-6) a composite number?
True
Let u(z) = 44426*z**2 - 9*z + 4. Let q be u(2). Suppose -14*c + 8*c = -q. Is c prime?
False
Suppose 19*t + 11 = 68. Let b(x) be the second derivative of 4*x**4/3 + x**3/6 + x**2 + 2*x. Is b(t) composite?
False
Suppose -4*r = -2*r + 3*y + 1789, 0 = r + 3*y + 887. Let b = 2115 + r. Is b prime?
True
Let i(m) = m**2 - 76*m + 5228. Is i(63) a composite number?
False
Let h(p) = 4583*p**2 - 5*p - 179. Is h(-13) composite?
True
Suppose -d - 5*j + 22477 = -5702, -j = -5*d + 140791. Is d a composite number?
True
Suppose 0 = -4*o + 2*o + 18. Let t(l) = 0*l - 6*l - 2*l + 16 - o*l. Is t(-11) prime?
False
Let t(h) = 2*h**3 - 9*h**2 + 3*h + 4. Let u be t(4). Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
mplify (sqrt(88)/(6*sqrt(44)/sqrt(4)))/((sqrt(4356) + sqrt(4356)*-2)/sqrt(9)).
-sqrt(2)/66
Simplify -1*(-2*-6*-1*5*1*sqrt(567))**2.
-2041200
Simplify ((1*sqrt(19))**2*-2 - (sqrt(190)*-4)/sqrt(10))*3.
-114 + 12*sqrt(19)
Simplify (-6*((sqrt(132) - (sqrt(132) + -4*sqrt(132))) + sqrt(132))*-3)/((sqrt(48)/sqrt(72))/sqrt(2)).
540*sqrt(11)
Simplify (3 + -5 + sqrt(76) + 1)*1.
-1 + 2*sqrt(19)
Simplify -4*(3 + (sqrt(1900) - (sqrt(1900) + 5*(sqrt(1900) + 2 + sqrt(1900))) - sqrt(1900))**2 + (-1*sqrt(1900) + 1)**2) + -1.
-927617 - 8720*sqrt(19)
Simplify ((6*sqrt(126) + sqrt(14) + (sqrt(14) - -3*1*sqrt(14)))/(sqrt(28)/sqrt(16) - sqrt(7) - sqrt(7) - ((sqrt(7) - (sqrt(28) - sqrt(112))) + sqrt(7))))**2*6.
25392/121
Simplify -3*6*(-3 + 1 + sqrt(1100)).
-180*sqrt(11) + 36
Simplify ((sqrt(2430) - (sqrt(2430) + sqrt(2430)*-3))/(sqrt(6) - sqrt(648)/sqrt(3))*-2)**2.
2916/5
Simplify -1*-2*(((sqrt(252)/sqrt(7))/sqrt(12) + -1)**2 + -1).
-4*sqrt(3) + 6
Simplify ((-5 + -4 + sqrt(1331) + -1 + 2)*-3)**2.
-1584*sqrt(11) + 12555
Simplify -1*(sqrt(612) + -3)**2*-3 + -5*(sqrt(612) - (sqrt(612) + sqrt(612)*-4))**2 + 3.
-47094 - 108*sqrt(17)
Simplify ((4*(sqrt(190) - -4*sqrt(190)))/sqrt(10))**2 - (1 + sqrt(171)*4).
-12*sqrt(19) + 7599
Simplify (sqrt(153)/(-4*sqrt(9) + sqrt(9) + sqrt(9)) + sqrt(1088)*-1 + 5)**2.
-85*sqrt(17) + 5013/4
Simplify -4*(4 + 1*sqrt(304) - (sqrt(304) + 1)**2*6)*-5.
-36520 - 880*sqrt(19)
Simplify 6*(sqrt(6480) + -1 - 1*-1*sqrt(45))*5.
-30 + 1170*sqrt(5)
Simplify ((2*(sqrt(132) + sqrt(132)*-1 + sqrt(132) + sqrt(132)))/(-4*sqrt(12)*4)*-6)**2.
99/4
Simplify ((sqrt(132)*-1 - sqrt(132))/sqrt(11) - (sqrt(12) + -6*(sqrt(12) + sqrt(24)/sqrt(2))))/(sqrt(486)*-3*4).
-sqrt(2)/12
Simplify -2*1*sqrt(19) + sqrt(19)*-2 + 3 + 5 - (sqrt(95) - (-6*sqrt(95)*1 - sqrt(95)))/(2*(sqrt(45) - sqrt(5))).
-6*sqrt(19) + 8
Simplify (-2 + 6*(-5*sqrt(11) - sqrt(11))*-1 + 1)**2.
-72*sqrt(11) + 14257
Simplify (6*(5*-2*sqrt(1584) - sqrt(1584) - (sqrt(1584) + 5*1*sqrt(1584))))**2*-4.
-65919744
Simplify -5*(0 + 1 + sqrt(396) + (1 + sqrt(396))*-5).
20 + 120*sqrt(11)
Simplify -5 + -3*(sqrt(114)/(1*sqrt(6)) - ((sqrt(19) - sqrt(95)/sqrt(5)) + 2)).
-3*sqrt(19) + 1
Simplify (sqrt(512) + 3)**2 + (sqrt(200) + 2)*-1.
86*sqrt(2) + 519
Simplify (sqrt(192)*2 + sqrt(192))*-1 + (-2 + -3 + sqrt(192))**2.
-104*sqrt(3) + 217
Simplify (sqrt(1539) + -2 + 0 + 5)*-6*4.
-216*sqrt(19) - 72
Simplify (5*(sqrt(1008)*-1 + (sqrt(112) + 0 - sqrt(7) - sqrt(7))))**2 - (sqrt(252) - (3 + sqrt(252)) - sqrt(21)/sqrt(3)*2).
2*sqrt(7) + 17503
Simplify sqrt(7) + sqrt(28)/sqrt(4) + -5 + (sqrt(42) - (sqrt(42) - (sqrt(42)*2 - sqrt(42))))/sqrt(6) - ((sqrt(7) - sqrt(28)/sqrt(4))**2*2 - sqrt(126)/sqrt(2)).
-5 + 6*sqrt(7)
Simplify (sqrt(70)/(sqrt(63)/(sqrt(9)*-1)))/(sqrt(8)*-1*-3).
-sqrt(5)/6
Simplify ((sqrt(416) - (sqrt(416) - (sqrt(416)*-1 + sqrt(416)))*-3)/sqrt(8))/(1*sqrt(12)/sqrt(3) + sqrt(24)/(sqrt(18)/sqrt(3))).
2*sqrt(13)
Simplify (((sqrt(190) + sqrt(190)*-3*-3 - sqrt(190)) + sqrt(190))/(sqrt(60)/sqrt(6)*1))**2.
1900
Simplify (sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77)*4*-1)))/sqrt(11) + (sqrt(343) + -2)**2 + (sqrt(42)/(sqrt(12)/sqrt(2)))**2.
-23*sqrt(7) + 354
Simplify -1 + ((sqrt(500) - (sqrt(500)*1 - sqrt(500)))*-6)**2 + (sqrt(500) - (sqrt(500) + (2*((-1 + sqrt(500) - sqrt(500)) + sqrt(500)))**2))*-4.
-320*sqrt(5) + 26015
Simplify (sqrt(4598)*-2*4)/(sqrt(6)/(sqrt(12)/sqrt(4)) + sqrt(2) + sqrt(32)*-2).
44*sqrt(19)/3
Simplify (-1*(sqrt(88) + -1*(sqrt(88) - sqrt(88)*-2)))/(sqrt(96)/(sqrt(12) + (sqrt(24)/sqrt(2)*1 - sqrt(12)))).
2*sqrt(11)
Simplify (sqrt(20)/(sqrt(20)/sqrt(5)) + sqrt(125)*-2 + 1)**2.
-18*sqrt(5) + 406
Simplify (sqrt(6292) + 2 + 4)**2*-1.
-6328 - 264*sqrt(13)
Simplify ((sqrt(190)/(1*sqrt(10)) - sqrt(19) - (-5 + sqrt(19)*-1)) + -4 + (1*sqrt(209))/sqrt(11))**2.
4*sqrt(19) + 77
Simplify 4 + ((-3 + 1 + sqrt(468) + sqrt(468))*-5 - (-4 + -2*sqrt(468)*1))**2.
-1344*sqrt(13) + 30152
Simplify 1*2*-3*sqrt(15)/sqrt(147).
-6*sqrt(5)/7
Simplify (sqrt(42)/(-4*sqrt(6)*4) - -3*(-4 + sqrt(448) - sqrt(448)))*4.
-48 - sqrt(7)/4
Simplify ((0 + -2*sqrt(200))**2 - sqrt(200))*5 + (4*(-2 + (sqrt(200) + 0 - sqrt(200))))**2.
-50*sqrt(2) + 4064
Simplify ((sqrt(350)*1)/sqrt(7)*6)/(5*sqrt(160) + 3*sqrt(10)*-1).
6*sqrt(5)/17
Simplify (sqrt(119) + -2*(sqrt(119) + sqrt(119)*1 + sqrt(119)) + (2*-1*sqrt(119) - sqrt(119)))/((sqrt(504)/(sqrt(24)/sqrt(2)))/sqrt(6)).
-8*sqrt(17)
Simplify (1 + sqrt(2057) + sqrt(2057))*-3 - sqrt(612)*2*-4.
-18*sqrt(17) - 3
Simplify 2*4*(sqrt(13) + 3 + sqrt(52) - (sqrt(13) - (3 + sqrt(13)) - sqrt(13))*-3).
-48
Simplify sqrt(98) + -2 + 5 - (sqrt(384) + 1*sqrt(384))/sqrt(12).
-sqrt(2) + 3
Simplify -4*(sqrt(1836) - (sqrt(1836) - (sqrt(1836) - (sqrt(1836) + 1*sqrt(1836)))))/(sqrt(15)/(sqrt(10)/sqrt(2) + sqrt(5) + sqrt(5))).
72*sqrt(17)
Simplify ((sqrt(468) - 5*-1*sqrt(468)) + sqrt(468) + sqrt(468) - (sqrt(468) - -1*(sqrt(468) + 0 + sqrt(468))) - -3*-3*(-3 + sqrt(468)))**2.
-1296*sqrt(13) + 8217
Simplify ((sqrt(26)/sqrt(2)*5 - (sqrt(13)*-2 + -1)) + (sqrt(1872) - -1*sqrt(1872)*-6)**2)*-4.
-187204 - 28*sqrt(13)
Simplify ((sqrt(160)/sqrt(4))/sqrt(5) - (sqrt(8) + sqrt(8)*2)*-4)/((sqrt(4) - (-6*sqrt(4)*-2 + sqrt(4))) + sqrt(64)).
-13*sqrt(2)/8
Simplify -1 + (sqrt(19) - ((-1 + sqrt(304) + sqrt(304))**2 - sqrt(304))) + (2*sqrt(228)*-3 + sqrt(228))/sqrt(12).
-1218 + 16*sqrt(19)
Simplify (((sqrt(65) - (sqrt(65) + (sqrt(65) - -2*sqrt(65)))*3) + sqrt(65))*-6)/((-4*sqrt(250))/sqrt(2)).
-3*sqrt(13)
Simplify -6*(sqrt(28)*1 + sqrt(28) - sqrt(28))/sqrt(4) - ((sqrt(98) + sqrt(98) + (sqrt(98) - sqrt(98)*-3) + sqrt(98))/sqrt(2))/sqrt(7).
-13*sqrt(7)
Simplify (((sqrt(153) + (sqrt(153) - (sqrt(153) + sqrt(153)*-1)) - sqrt(153))*-4 - 5*(2*sqrt(153) + sqrt(153)))/(sqrt(45)/(-2*sqrt(80))))**2.
392768
Simplify sqrt(35)/sqrt(45)*-1 + sqrt(21)/(1*sqrt(12)) + -4.
-4 + sqrt(7)/6
Simplify (sqrt(2448) + -1 + -6*(sqrt(17) + sqrt(425)))**2 - (3 + (6*1*sqrt(17))**2 + sqrt(1377) + -1).
39*sqrt(17) + 9179
Simplify (sqrt(5) - (sqrt(5) + sqrt(5) + (sqrt(125) + 0 + sqrt(125))**2) - (0 + sqrt(405))) + (-1*sqrt(125) - (1 + sqrt(5) + -5))**2.
-304 - 58*sqrt(5)
Simplify (sqrt(784) + 2*sqrt(784) + sqrt(784) + (sqrt(16) - sqrt(32)/sqrt(2)*3))/(-1*sqrt(968)*4).
-13*sqrt(2)/22
Simplify (sqrt(98)*1 - (sqrt(162) - (-1 + sqrt(162))**2)) + 1 + (2 + sqrt(2178))**2.
112*sqrt(2) + 2346
Simplify ((-4 + sqrt(26)/sqrt(2) - (sqrt(65)/sqrt(5) - sqrt(13))*-6) + (sqrt(13) - sqrt(65)/sqrt(45))*-1)**2.
-8*sqrt(13)/3 + 157/9
Simplify 6*(0 + sqrt(171) + (3 + sqrt(171))*1 + sqrt(171)).
18 + 54*sqrt(19)
Simplify (((3*sqrt(152))/sqrt(4))/(sqrt(216)/sqrt(12)) + 0)**2*3.
57
Simplify ((sqrt(171)*-5*3 - sqrt(171) - sqrt(171)) + sqrt(171) + sqrt(171))/(2*sqrt(324)).
-5*sqrt(19)/4
Simplify (-3*(sqrt(304) + -4) + 3 + sqrt(304) + 2 + sqrt(304))**2.
-136*sqrt(19) + 593
Simplify (-4 + ((sqrt(96) - (sqrt(96) - (sqrt(96) + (sqrt(96)*-2 - sqrt(96)) + sqrt(96) + sqrt(96))) - sqrt(96))*6)/sqrt(12) + 5)**2.
-24*sqrt(2) + 289
Simplify (sqrt(17) - (sqrt(17) - sqrt(136)/sqrt(32)) - (sqrt(136)*1)/sqrt(8))**2*1 + -5*sqrt(119)/(sqrt(525)/sqrt(3)).
-sqrt(17) + 17/4
Simplify 3 + (-2 + (sqrt(25)/sqrt(5) + 1 - sqrt(25)/sqrt(5)*-2))**2.
-6*sqrt(5) + 49
Simplify 5*(3 + 3*sqrt(5) + sqrt(5) + 3 + -4*((sqrt(180))**2 - sqrt(5)) + 3).
-3555 + 40*sqrt(5)
Simplify (sqrt(567) + (2 + sqrt(567))*-1 + (1*(-1 + sqrt(567)) + sqrt(567) - sqrt(567)) + -3)**2.
-108*sqrt(7) + 603
Simplify 2*(sqrt(176) + 1)**2*-1 - (-1 + (1 + sqrt(176))**2 + sqrt(176))*-5.
44*sqrt(11) + 526
Simplify ((-3*sqrt(931)*2 - (sqrt(931)*-2 + 1)) + (sqrt(931) + 0 + -5 - sqrt(931)) + sqrt(931) + (sqrt(931) - -1*sqrt(931))*4)**2.
-420*sqrt(19) + 23311
Simplify (2*sqrt(33)*3 + sqrt(33) + sqrt(33))/((1*sqrt(3) + sqrt(3))*1) + -2.
-2 + 4*sqrt(11)
Simplify (5 + ((1*sqrt(504))/sqrt(8) - sqrt(63))/(sqrt(9) - (sqrt(9) - sqrt(54)/(sqrt(24)/sqrt(4)))))*-6.
-30
Simplify (sqrt(396) + sqrt(396)*2)*6 + 2 + 4*(sqrt(11) + (sqrt(11)*4)**2).
112*sqrt(11) + 706
Simplify (2*sqrt(3456))/(1*sqrt(24)/sqrt(3)).
24*sqrt(3)
Simplify 4*((sqrt(13) - sqrt(26)/(sqrt(4)/sqrt(2))) + 3)*-5*6.
-360
Simplify (-6*(sqrt(140) + sqrt(140) + sqrt(140) + sqrt(140)*2))/(1*sqrt(28)*-2).
15*sqrt(5)
Simplify (sqrt(392) + -5*((sqrt(392) - (sqrt(392) - (sqrt(392) + -1 + sqrt(392) + sqrt(392)))) + sqrt(39
|
{
"pile_set_name": "DM Mathematics"
}
|
5, 3*n = 3*i - 15. Let p(r) = -6*r + n*r**2 + 5*r - r**2 + 5 - 15. Calculate p(k).
-10
Let q be 3/(-1)*(-1)/9*3. Let p(j) = 29*j - 3. Give p(q).
26
Let a = 283 - 248. Suppose 0 = -4*f - 5*k - a, 2*k + 26 = 2*f - 6*f. Let d(p) = p**3 + 5*p**2 - 2*p + 7. Give d(f).
17
Suppose -2*u = -5*z + 46, -3*z - 5*u + 14 = -26. Suppose 6*a + z = 4*a. Let f(x) = 11*x + 6*x**2 - 48*x**3 + 2*x - 5 + 49*x**3 - 5*x - 7*x. Calculate f(a).
15
Let u(q) be the third derivative of 13*q**5/60 + 7*q**4/4 + 7*q**3/6 - 3*q**2 - 4*q + 5. Calculate u(-3).
-2
Let v be 6*(1 + (-4)/6). Let m(u) = 9*u + 7. Let r(q) = -11*q - 9. Let z(b) = b**2 - 40. Let k be z(6). Let n(i) = k*r(i) - 5*m(i). Determine n(v).
-1
Let d(m) = -m - 7. Let k(a) = -2*a - 19. Let t(f) = -3*f - 36. Let s(c) = -7*k(c) + 3*t(c). Let r be s(-5). Calculate d(r).
-7
Suppose -30 = 3*q + 5*y + 37, 3*q = 2*y - 32. Let o(d) = -d**3 - 16*d**2 - 17*d + 34. Give o(q).
-120
Let p(g) be the second derivative of g**6/360 + g**5/24 + 5*g**4/24 - 5*g**3/3 + g**2/2 - 73*g. Let j(z) be the second derivative of p(z). Calculate j(-5).
5
Let h(v) = 4*v**2 + 4*v**2 - 19*v + v**2 - 80 + v**2 - 11*v**2. What is h(-5)?
-10
Let x be (-2)/(((-4)/(-6))/(-1)). Suppose -34 = 2*l - 82. Suppose -4*f + 4*d = l, 7*f - x*d + 20 = 3*f. Let z(r) = -4*r - 2. Calculate z(f).
6
Suppose -341 - 89 = -126*p + 40*p. Let s(l) = 2*l**2 - l - 7. Determine s(p).
38
Let z(q) = -14*q**2 - 4*q - 19. Let m(d) = d**2 + 2*d + 13. Let p(g) = 2*m(g) + z(g). Give p(3).
-101
Let x(p) be the second derivative of p**5/20 + 5*p**4/12 + p**3/3 - 3*p**2/2 + 2*p - 797. Suppose -5*n + 3*i - 6 = 0, 0*n + 4*i = -n - 15. Determine x(n).
9
Let p(h) = 1008*h - 245*h - 244*h - 183 - 250*h - 254*h. What is p(12)?
-3
Let q(x) = -2*x**2 - 6*x - 6. Let m be q(-3). Let g(l) = 7*l**2 + 3*l - 2. Let t(a) = a**2 + a. Let h(i) = m*t(i) + g(i). Let w = -369 - -371. What is h(w)?
-4
Suppose 1003*n = 1008*n - 15, 15 = 6*x - 3*n. Let z(y) = 16*y - 12. Determine z(x).
52
Let j(g) = 12*g - 45. Let r(q) = -q**3 - 26*q**2 + 68*q + 338. Let k be r(-28). Calculate j(k).
-21
Suppose 5*z = -392 + 167. Let q = z - -38. Let k(h) = h**3 + 8*h**2 + 7*h. What is k(q)?
0
Let t(b) be the third derivative of b**3 + 1/24*b**4 + 0*b - 4 - 6*b**2. Give t(-6).
0
Let q(f) = -f**2 + 11*f + 82. Let p = 3892 - 3876. Calculate q(p).
2
Let y(k) = -4*k - 63. Let b(l) = -l + 21. Let p(i) = 6*b(i) + y(i). Give p(6).
3
Suppose 4*g - 5*h = -24, 4*g - 11 = 2*h - 35. Let q(b) be the second derivative of 1/2*b**2 - b + 0 - 1/3*b**3. What is q(g)?
13
Let j(l) = -2*l**3 - 9*l**2 - 10*l - 13. Suppose -3*g = -4*v, v - 22 + 17 = 2*g. Let f be j(g). Let k(n) = -3 - 1 - 8 + 2*n - n. Give k(f).
-1
Let l(t) = -t**3 - 9*t**2 - 8*t + 13. Let r = -8199 + 8191. Determine l(r).
13
Let r(i) = 54*i**2 - 9*i - 30. Let p(q) = -13*q**2 + 2*q + 7. Let a(v) = -25*p(v) - 6*r(v). What is a(-6)?
17
Let u(y) = -3*y + 17. Let f(a) = 3*a + 13. Let m(c) = -c - 2. Let x(v) = -5*f(v) - 20*m(v). Let b(o) = 8*u(o) + 5*x(o). Give b(-10).
1
Let a(d) be the first derivative of -10*d + 101 - 1/2*d**2. Give a(-11).
1
Suppose -128*r - 3408 = 156*r. Let m(a) = -a**2 - 15*a - 7. Calculate m(r).
29
Let w(x) = -x**3 - 6*x**2 - 2*x + 6. Let g be w(-5). Let o(s) = 323*s - 45. Let p(y) = -149*y + 22. Let n(f) = -6*o(f) - 13*p(f). Calculate n(g).
-7
Let l(b) = b**2 + 5*b + 4. Let h be l(-4). Let q(a) = a**2 + 11*a - 76. Let j(t) = t**2 + 10*t - 68. Let f(n) = -12*j(n) + 11*q(n). Calculate f(h).
-20
Let l(a) = 267*a + 25*a**3 - 46*a**3 - 23*a**3 + 2 + a**2 - 16*a**3 - 270*a. Give l(1).
-60
Let x(a) be the third derivative of -a**6/120 + a**5/30 - a**4/24 - 17*a**3/6 - 12992*a**2. Calculate x(-2).
1
Let z = 3652 + -3648. Let r(q) = 13*q - 39. Give r(z).
13
Suppose p - 13 = -c + 3*p, 3*c + 16 = -5*p. Suppose 0 = 28*n - 30*n. Let f(x) = x**3 + 9 - 2*x**2 - 5 + n - 3*x. Calculate f(c).
4
Let h(x) = 321*x + 7 + 13*x**2 - 14*x**2 + 318*x - 632*x. Determine h(5).
17
Let v(h) = 54*h + 1475. Let p(g) = -136*g - 3686. Let w(i) = 5*p(i) + 13*v(i). Give w(-34).
-3
Let c(w) = 54*w + 9. Let y(o) = -19*o - 4. Let r(a) = -6*c(a) - 17*y(a). Let m(p) = p**2. Let v be m(3). Calculate r(v).
5
Suppose -28*r = -30*r + 164. Suppose -r = -4*t - 86. Let c be t*(1 + 0 + 0). Let l(z) = z**2 + 2*z + 1. Calculate l(c).
0
Let z be 1/((-959)/161 - -6). Suppose 7 = -z*p + 22*p. Let t(u) = -3*u. Give t(p).
21
Let m(w) = 0*w**3 + 94 + 0*w**3 - 15*w**2 - 55*w - 47*w + 109*w - w**3. Give m(-15).
-11
Let u(q) = -4*q - 2. Let m be (87/(-116))/((-21)/8)*28. Let i be -6*(-15)/(-21) + m/28. Give u(i).
14
Let m be -2*(-5)/20*-4. Let k(y) be the second derivative of -4*y**3 + 508*y + 1. Determine k(m).
48
Let n(c) be the first derivative of c**4/4 - 2*c**3 + 3*c**2/2 - 6*c - 844. Let j = 10 - 6. Let l = j + 2. Determine n(l).
12
Suppose -2*w + w + 27 = l, 21 = w + 4*l. Suppose -w = 5*n - 9. Let m(g) = -g - 1. Determine m(n).
3
Let t(r) = r**2 + 5*r + 1. Let x be (2/(-4))/((-2)/4). Let l be (2/(-4))/(x/(-12)). Suppose -1 = -b - l. Determine t(b).
1
Let w(m) = -1 + 2 - 6 - 3*m. Suppose -92*q + 4*c - 36 = -88*q, -11 = 3*q + c. Determine w(q).
10
Let u(t) = -t**3 + 2*t**2 + 3*t + 7. Suppose 36 = 7*a - 32*a + 111. Determine u(a).
7
Let a(u) = -2*u**2 - 2*u - 1. Let y(v) = -12*v - 3 + 3*v**2 + 9*v + 8 - 4 - 3. Let p(d) = a(d) + y(d). Give p(-3).
21
Let p = 426 - 134. Let t(x) = -x**2 + 301 + 0*x + x - p. Give t(-4).
-11
Suppose 3*i + 5*y - 11 = 0, 3 = -2*i - 2*y + 9. Suppose -6 = -5*k + 4*m, k = 5*k - i*m - 6. Let z(v) = 0 + 3*v**k - 2*v**3 - 5 + 5. Give z(2).
-4
Let s(k) = 455*k - 919*k + 7 + 469*k. Give s(-3).
-8
Let z(x) be the second derivative of -x**5/20 - 3*x**4/4 - 5*x**3/3 - x**2 + 860*x. Calculate z(-7).
-30
Let q(d) be the third derivative of 1/120*d**5 - 6*d**3 + 0 + 0*d + 17*d**2 + 7/12*d**4. Let i(c) be the first derivative of q(c). Calculate i(-9).
5
Let u(f) be the first derivative of -f**4/4 - 4*f**3/3 + 3*f**2 + 7*f + 1. Suppose -279*b + 2006 - 3401 = 0. Calculate u(b).
2
Let l = -113 + 158. Let n be (-210)/4 + 2/4. Let w = n + l. Let h(s) = s - 9. What is h(w)?
-16
Let d(c) = -24*c + 8766 + 7*c - 8760. Calculate d(-1).
23
Suppose 0 = -k - 1 + 2. Let z be (1 + 2 - k)*2. Let y(n) be the third derivative of -n**4/12 + 638*n**2. Calculate y(z).
-8
Let o(s) = -4*s**2 + 82*s + 42. Suppose -116 = -4*p - 4*n, 167*n + 60 = 4*p + 164*n. Give o(p).
0
Let j(o) = o**2 + 5*o + 0*o**2 - 6 - 14 + 10*o. Let t be (-640)/(-80)*(-3 + 4 - 3). Calculate j(t).
-4
Let k(o) be the third derivative of -o**5/30 + 25*o**4/24 - o**3 - 227*o**2. Let f(t) = 4*t**2 - 46*t + 11. Let j(h) = 6*f(h) + 11*k(h). Give j(-2).
10
Let d(t) = t**3 + 3*t**2 + 3*t + 5. Suppose -55*v + 70*v = -60. Calculate d(v).
-23
Suppose -t = -2*s - 5, -5 = 2*t + 2*s - 3. Let a(z) be the second derivative of -3*z**5/10 - z**4/12 + z**3/6 - z**2/2 + z. What is a(t)?
-7
Let b(k) = 5*k**2 - 3*k**2 - 3*k + 1 - 3*k**2 - 5. Let q(f) = -f**3 - 58*f**2 - 4*f - 235. Let c be q(-58). Calculate b(c).
-4
Let a(q) = 17*q**3 + 6*q**2 - 25*q + 44. Let m(t) = 27*t**3 + 9*t**2 - 37*t + 67. Let j(u) = 8*a(u) - 5*m(u). Give j(-6).
-1
Let q(a) = a**3 + 10*a**2 + 6*a - 14. Let v(b) = 5*b**3 + 42*b**2 + 25*b - 56. Let k(o) = 9*q(o) - 2*v(o). What is k(6)?
10
Let z be (-81 + 80)*(-42 - (2 + -1)). Let j(m) = 3 + 1 + 3*m**2 - z*m - 4*m**2 + 36*m. What is j(-8)?
-4
Let i(f) = -f**3 - 8*f**2 + 2*f + 15. Suppose -895*u + 923*u + 127 = -69. Determine i(u).
-48
Suppose -5*o = 5*r + 35, -r + 9 = -13*o - 26. Let j(i) = -3*i + 0*i + 2*i - 3. Calculate j(o).
0
Let k be -1 - (4/(-18) + ((-808)/(-72) - -1)). Let x(c) = 6*c + 19. What is x(k)?
-59
Let i(w) be the second derivative of w**3/3 + 2*w**2 - 6*w. Let k be ((-4)/14)/((27/63)/(-3)). What is i(k)?
8
Suppose 95*g + 407 = -163. Let j(q) = q**3 + 5*q**2 - 17*q - 76. Determine j(g).
-10
Let z(x) = -15*x + 1. Suppose 3*y - 8*y + 3*l = 30, -y - 2*l - 6 = 0. Suppose 0*b - 16 = 4*b. Let c be (-45)/15*b/y. Give z(c).
31
Let t(z) = -z + 8. Let y be t(6). Let m(v) = -2*v + 3*v**y - 8*v**2 + v. Let n be (-6 - (-6 - -1))/(2/4). Give m(n).
-18
Suppose -4*y - 81 = -109. Let h(a) = 3*a**2 - 26*a + 28. What is h(y)?
-7
Let c(j) = j + 1. Let v(i) = 1. Let k(o) = 5*c(o) - 4*v(o). Let z = 0 + 14. Let q(p) = p**3 - 16*p**2 + 28*p + 3. Let f be q(z)
|
{
"pile_set_name": "DM Mathematics"
}
|
t h be (u/10)/((-2)/(-5)). Solve h*b - 3 - 3 = 0 for b.
3
Suppose 3*s + 5*v - v = -76, s - 4*v = -4. Let f = s - -25. Suppose 4*r - f*r = 0. Solve c + c + 10 = r for c.
-5
Suppose -4*q + 11 = -5*c - 10, 4*c = -20. Let j be q/3*-21 - -1. Solve -2*o - 2 = -j for o.
3
Let h(a) = 3*a**3 + 22*a**2 - 23*a - 30. Let n be h(-7). Solve 2*q + 28*q = -n for q.
-6
Suppose -9 = -4*j - 5*b, -3*j = -0*j - 3*b - 27. Suppose -j*g - g - 672 = 0. Let y = g - -98. Solve -y*p = 2*p - 20 for p.
5
Let w(h) = -5*h**2 - 72*h - 58. Let p be w(-17). Let b = p - -318. Solve b*r - 44*r = -5 for r.
1
Let t(c) = -2*c**2 + 25*c + 15. Let z be t(13). Suppose -z*u - 2 = -8. Suppose -2*i + 2 = 2*s, 3 = -2*i + i + u*s. Solve w + 0*w = i for w.
0
Suppose -4*x - 4288*a + 184 = -4300*a, -2*x + 3*a + 56 = 0. Let u(t) = t + 4. Let s be u(6). Solve x*j - s = -60 for j.
-5
Let p(g) = g**3 - 47*g**2 + 397*g - 986. Let d be p(37). Let w = -20 + 32. Solve w*c - d*c = 2 for c.
-2
Suppose 2*s = k - 621, 3*k = 3*s + 8*k + 951. Let n be (-18)/63 - s/14. Solve n - 2 = 4*y for y.
5
Let z(b) = -b + 28. Let f be z(3). Suppose 8*a + f - 49 = 0. Solve a*q - 3 + 12 = 0 for q.
-3
Let z(y) = -y**2 - 86*y - 1520. Let x be z(-61). Solve -81 = x*g - 56 for g.
-5
Let p(n) = n**3 + 2*n**2 - 14*n - 3. Let h be p(3). Let m be 1*-3 - (63 - -9). Let i = m + 77. Solve i*g + 9 + 1 = h for g.
-5
Let x = -2713 + 3337. Solve 4*z = -604 + x for z.
5
Let s be 67*(176/11 + -15). Solve -4*c - 51 = -s for c.
4
Suppose -x + 34 = -3*o, -40*x + 44*x - 70 = o. Solve -x*t - 10 = -11*t for t.
-2
Suppose 0 = -6*x + 3*x + 6. Suppose -5*b - x*f - 4 + 0 = 0, -4*f = 2*b + 8. Solve 3 = -b*h - h for h.
-3
Let k be ((174/24)/(-29))/((-1)/1532). Solve k*j - 32 = 391*j for j.
-4
Suppose 5*a - 851 = 2*c - 853, -4*c - 5*a + 94 = 0. Solve -20*x - 144 = c for x.
-8
Let p(g) = 6*g + 43. Let t be p(9). Let c = -95 + t. Solve c*d - 7*d - 25 = 0 for d.
-5
Let m = -15251 - -15251. Solve m = 3*b - 453 + 459 for b.
-2
Let i = 4979 + -4977. Let b be (0/1)/(2/(-2)). Solve b*f = -i*f + 6 for f.
3
Suppose 4*z = 725 - 713. Solve 18*k = -51 - z for k.
-3
Let z = -740 - -755. Solve -z*y + 145 = 14*y for y.
5
Suppose -500*r = -620*r + 480. Let p(q) = -q**3 + 0*q**3 - 1 + 4*q**2 - 5*q**2 - q. Let u be p(-2). Solve m + r = u*m for m.
1
Let d = 131 - 123. Suppose d*p = 9*p + 6*p. Solve 0 = -p*c + 3*c - 15 for c.
5
Suppose 0 = 5*h - 5*j + 140, h + 2*j = -4*h - 161. Let s = -7 + h. Let w = -36 - s. Solve 0 = q - w - 0 for q.
2
Suppose 0*o + 2*o - 4*c + 10 = 0, 0 = o + 5*c - 30. Suppose -2 = -4*s - 2*w, 0*s = -2*s + w - o. Let l be (13/(-65))/(s/5). Solve -l = 2*x + 1 for x.
-1
Let l(s) = 8*s - 27. Let p(k) = -7*k + 24. Let i(f) = 4*l(f) + 3*p(f). Let n be i(5). Solve -10 = -3*q - n for q.
-3
Suppose 51 = -v + 2*k - 49, 3*v + 2*k = -260. Suppose -390 + 132 = 3*n. Let w = n - v. Solve -9 + 1 = -w*i for i.
2
Let p be 0/((-7 - -2)/1). Suppose 20*j - 22*j - 1 = u, 4*u - 2*j - 16 = p. Solve -u = -t - 2*t for t.
1
Suppose 0*y - 8 = -3*r + y, -r + 4 = y. Suppose -4*l = -r*l + 2*q - 2, -4*q = l + 6. Let v be (-1)/((-26)/(-52)*(-8)/12). Solve -v*j - 2*j - l = 0 for j.
-2
Let q be (-113)/226*(-7 - 1) + 5*3. Solve 20*o - 4 = q*o for o.
4
Let o be (18/126 + 1*(-5)/35)/1. Solve o = -26*g + 37*g + 22 for g.
-2
Let j(b) = 2*b**2 - b + 39. Let k be j(0). Suppose 4*l + k = 5*u + 742, -4*u - 569 = -l. Let x be 4/(-26) - 308/u. Solve -2*n = -0 + x for n.
-1
Let i be 15/15 + 0*(-2)/4. Suppose 4*t = -88 + 436. Suppose -2*d = 4*y - 40, -4*d + 2*y + t = 27. Solve 3*r = -d + i for r.
-5
Let v be (-5)/(((-5)/1)/5) + -12. Let z be v + (-670)/(-45) - 2/(-18). Solve -2*w + z*w + 12 = 0 for w.
-2
Let v(s) = s - 2. Let y be v(2). Let a = -1225 - -1230. Solve a*t + y = -15 for t.
-3
Suppose 5 = 12*o - 7*o + 3*x, 2*o + 2*x - 6 = 0. Let a be -1 + -3 + o + 11. Solve -a*k = -7*k - 8 for k.
-4
Let u(x) = -x**3 - 8*x**2 + x + 10. Let n be u(-8). Suppose n*w + 7*w = 18. Solve -3 = d + w*d for d.
-1
Let w = -1 - -5. Suppose 56 = 14*h - 10*h. Suppose 0 = -4*v - s + h, -24 + 6 = -2*v + 5*s. Solve v = -w*k + 3*k for k.
-4
Let l(m) = -118*m + 11365. Let c be l(96). Solve -34*k + c - 275 = 0 for k.
-7
Let a(k) = -k**2 + 7*k + 3. Let s be a(6). Suppose 89 = 2*z - 1. Let r be (1458/z)/6 - 3/(-5). Solve -r = f - s for f.
3
Let t(r) = 3*r**2 + 28*r - 365. Let c be t(-18). Solve 109*x = c*x + 36 for x.
6
Suppose -4 + 19 = -2*o - 3, q + 3*o + 22 = 0. Suppose 6*d - 25 = d. Solve -d = -2*l + q for l.
5
Suppose 224*i + 216*i - 407*i - 14058 = 0. Solve 427*c = i*c - 3 for c.
-3
Suppose d + 5*s + 0 + 32 = 0, 0 = -5*d - 4*s - 76. Let h(c) = -c - 10. Let y be h(d). Suppose y*j + j = 6. Solve -j*i = i + 3 for i.
-1
Suppose 9 = 4*x - 3*k, x + k + k - 5 = 0. Let g be 80/30 + (-13)/(-39). Let u(i) = i**3 + 4*i**2 - 2*i + 4. Let d be u(-4). Solve -d = g*p - x for p.
-3
Suppose -21 = -3*c - k, 3*c + 3*k = 38 - 11. Let m(p) = -6*p**3 + 26*p**2 - 6*p - 5. Let z be m(4). Solve c + 6 = z*q for q.
4
Suppose 2*t + 9 = 17. Suppose p = -p + 5*o + 13, 0 = -t*p + o + 35. Let i be -12 + p + 7 + (1 - 1). Solve -2*u - 6 - i = 0 for u.
-5
Suppose 46*f = -46*f + 7*f + 3655. Solve -25*z - f = 32 for z.
-3
Let g = -16449 + 16485. Solve 24 = -20*a - g for a.
-3
Let y(a) = -2*a**2 + 8*a - 52. Let t be y(8). Let d = -116 - t. Solve -w + 2*w + 3 = d for w.
-3
Let p(o) = 12*o - 9. Let a be p(4). Let i(s) = -38*s**2 + a*s**2 + 21 + 11 - 4 - 15*s. Let w be i(13). Solve m + 5 = w*m for m.
5
Suppose -96*q + 3220 = -4*q. Solve 8*l = q*l for l.
0
Let h = 9590 - 9565. Solve -h = -4*y - y for y.
5
Let x be 6 - (-52 - (5 - 7)). Solve 70 = 42*d - x for d.
3
Let a(y) = y**3 - 4*y**2 - 19*y + 75. Let m be a(3). Solve -m*c - 231 = -42*c for c.
7
Let w(n) = -8*n**2 - 3*n + 4. Let q be w(-4). Let t = 127 + q. Suppose 0*d + 165 = t*d. Solve 0 = -2*h - d + 3 for h.
-4
Suppose 36*v = 32*v - 1292. Let z = -320 - v. Solve -5 = -z*b - 2 for b.
1
Let l(b) = 1611*b - 7960. Let g be l(5). Solve -g = 156*m - 175*m for m.
5
Let z = 10870 + -10831. Solve -7*p - z = -11 for p.
-4
Let p = 61 + -53. Suppose -w + 5*l + 30 = 0, p*l - 11*l - 62 = -5*w. Let n be w + 1/((-5)/25). Solve -3*t + 4 + n = 0 for t.
3
Suppose 223*l - 317*l = -11280. Solve -9*p - 156 = -l for p.
-4
Let d(o) = 18*o**2 + 78*o + 84. Let x be d(-3). Solve 44 = x*r - r for r.
4
Let n be 63/9 + 16/(-4). Suppose n*h - 18 + 9 = 0. Solve 3*t + 0 = h for t.
1
Suppose 0 = 11*s - 7*s - 144. Suppose 19*q - s = 10*q. Solve -2 = -2*n + q for n.
3
Suppose -2*b + 3*q + 11 = 2*q, 2*b + 14 = -4*q. Let x = 55 + -52. Suppose x*j = 0, f + 8*j - 2 = 7*j. Solve 0 = b*s + 5 - f for s.
-1
Let j(g) = g**3 - 88*g**2 - 12*g + 1065. Let r be j(88). Solve r*w - 47 - 7 = 0 for w.
6
Suppose 4*x - 336 = -3*v, -3*v = 3*x - 6*x - 294. Solve -57*u - 67 = v for u.
-3
Let u be (-14)/42 - (-26)/6. Let h(j) = j + j - u*j + 14 + j. Let t be h(8). Solve 3*x = -3 - t for x.
-3
Let m(l) = -l - 83. Let z be m(-11). Let t = -72 - z. Solve t*i - 6 = 3*i for i.
-2
Let m = -15 + 58. Suppose h - 41 = 4*y - 8, h + y = m. Let b = h + -36. Solve -12 = -b*k + 8 for k.
4
Let w(j) = j**2 - 20*j + 95. Let n be w(10). Let t(x) = -2*x**3 - 4*x**2 + 29*x + 1. Let a be t(n). Solve 0 = 2*p + p + a for p.
-2
Let l = -4 - -4. Suppose l = -71*p + 64*p. Solve p = -0*v - 2*v + 8 for v.
4
Let q be (-4)/18 + (-44857)/279. Let n = q + 164. Solve -n*g + 1 = -5 for g.
2
Let m = 31 - 11. Let y = m - 15. Suppose 0 = 4*s - 5*h - 25, 4*s + 5*h = -20 - 5. Solve s*r = y*r for r.
0
Let g(f) = -3*f - 6*f - 9 + 5*f + 0*f. Let d be g(-11). Let p = d + -32. Solve -p*x + 5*x = 10 for x.
5
Suppose 5*a + 23*a - 2024 = 6*a. Solve 0 = 14*g + 78 - a for g.
1
Let r = 324 - 739. Let g = r - -430. Solve -g*k + 17*k - 2 = 0 for k.
1
Let o be (7/(-6)*952/833)/((-2)/192). Solve -71*q + 39*q - o = 0 for q.
-4
Let s(y) = 109*y - 951. Let x(h) = -22*h + 192. Let j(n) = -2*s(n) - 11*x(n). Let d be j(9). Solve -2*p = -d*p - 8 for p.
-2
Suppose -54 = -2*n + 5*k, -2*n - k = -8 - 34. Solve -19*a - 16 = n for a.
-2
Let k be 17/(-2)*(-4)/17. Let t be 0/(3*(-3)/(-9)). Suppose 3*n + d = 18, t = -4*n + 4*d + 10 + 30. Solve n*w = k*w for w.
0
Let r be (-6)/(-12) - 138/(-4). Suppose -30*g + 95 = r. Solve 2*z - g - 2 = 0 for z.
2
Suppose 0 = -r - 3*y + 56, 96*y + 7 = -r + 102*y. Solve 0 = r*g - 26*g - 9 for
|
{
"pile_set_name": "DM Mathematics"
}
|
3*i + q = -5*i for i.
-4
Let s(q) = -7*q + 117. Let y be s(16). Solve 19 - 9 = -y*a for a.
-2
Suppose -4*h + 14 = 3*o, 1 = 4*o + 5*h - 18. Solve -3*v + 6*v - o = 0 for v.
2
Let o be 3 - 0 - (-12)/1. Suppose -10*v + o*v = 60. Solve w - 5*w = v for w.
-3
Let m = 31 - 19. Suppose 0 = 2*t + 2*t + 4*q + m, 0 = t + 2*q + 6. Suppose -3*s = -2*z + 4, 0 = -t*z - 2*z + 4*s + 2. Solve 3*h - z = -2*h for h.
1
Suppose 22*q = 22 + 22. Solve -q*p = 16 - 10 for p.
-3
Suppose -2*h = t - 11, 0 = h + 2*h + 3*t - 24. Suppose -h*o = -166 + 154. Solve -3 = -o*p + 13 for p.
4
Suppose 0 = 2*j + 2*v - 5*v - 20, 2*j - 4 = -5*v. Let d be (-4)/(-8)*-8 + j. Solve d*x - 20 = -2*x for x.
4
Let m(s) = -6*s + 6. Let u be m(-11). Let z be (2/12)/(4/u). Solve z*k + 2*k = 15 for k.
3
Let z = -7 + 11. Suppose z*j + 8 = -2*f, -5*f + 5*j - 2 + 12 = 0. Let r be (296/111)/(4/3). Solve f*m - 2 = -r*m for m.
1
Suppose 0 = j - 4 - 1. Suppose -6*b = -j*b. Suppose -y = -b*y. Solve y = c + 3*c for c.
0
Suppose 2*k = 5*g + 105, 21*k - 17*k + 3*g - 145 = 0. Solve 6*u + 14*u = -k for u.
-2
Let t(o) = -o**3 - 25*o**2 - 2*o - 40. Let i be t(-25). Solve 6 = -2*j + i for j.
2
Suppose -o - 11 = -24. Solve 33 = 5*n + o for n.
4
Let d(g) be the first derivative of -g**2 - 2. Let i be d(0). Suppose 0 = 16*j - 13*j - 12. Solve i*r = r + j for r.
-4
Let w(u) = 7*u - 1. Let p be 2/1 + (1 - -3). Let b be w(p). Let z = b + -21. Solve 3*n = -n + z for n.
5
Suppose -9*i = -7*i - 38. Suppose i*p + 13 = 20*p. Suppose 5*f - 20 = 3*t + 2, 2*f - p = -3*t. Solve -t = -r - 3 for r.
-2
Suppose q = c - 2*c + 21, 4*c - 9 = -q. Let j = 40 - q. Solve 0 = 2*g + 5 - j for g.
5
Suppose 3*f + 21 = 5*q, -4*q + 6*f = 11*f - 39. Solve 9*o + q = 7*o for o.
-3
Let m(u) be the second derivative of -u**5/20 - 7*u**4/12 - 5*u**3/6 + 5*u**2 + 19*u. Let x be m(-6). Suppose p = -2*p + 21. Solve -x*b - p - 9 = 0 for b.
-4
Let h(p) = -p**3 - 6*p**2 - p - 4. Let o be h(-6). Solve -c + 0 = o for c.
-2
Let c be 2 + (-5 - 92/(-12))*6. Solve -c*t - 27 = -9*t for t.
-3
Suppose -g + 3*n + 22 = 0, g = -2*g - 2*n + 11. Suppose 2*a + f - g = 0, -f - 2*f = a - 11. Let s be 5 - 3 - (1 - -1). Solve s = b + 3 - a for b.
-1
Suppose -2*j + 4*j - 8 = 0. Suppose 5*l - 9 - 11 = -k, 0 = l - k - 10. Suppose -2*o - 4*z = -20, 3*z - 31 - 47 = -l*o. Solve -j*d + o = -2 for d.
5
Let t(h) = 8*h - 31. Let b be t(6). Let s = -15 + b. Solve s*g = -g for g.
0
Let k(w) = -3*w + 13. Let p be k(5). Let h be (3 - 8)*p*1. Solve 3*t - 1 = -h for t.
-3
Let b(w) = w**2 - 21*w + 71. Let t be b(17). Solve -c - t*c = 4 for c.
-1
Suppose -10*z - 28 + 108 = 0. Solve -10*l = -z*l - 4 for l.
2
Suppose 2*m = 0, -17*q = -16*q - 3*m. Solve q*p - 11*p - p = 0 for p.
0
Suppose 2*h + k = -2*h + 15, 4*k = -5*h + 16. Solve h*n + 16 = -4 for n.
-5
Suppose 0 = 5*q + 10, 4*p + 0*q + 338 = q. Let x = p - -89. Solve -2*l - 2*l + x = 0 for l.
1
Let d(l) = -l**2 + 16*l + 7. Let v be d(12). Suppose 3*o = 3*n + 10 + 11, n = 5*o - v. Let p = 12 - o. Solve p = -2*f + 3*f + 2 for f.
-2
Suppose z = -3*k + 6*z + 21, k - 7 = 2*z. Suppose 5 + k = 4*q. Suppose d = -5, -4*g - q*d + 25 = -0*g. Solve g = c + 4*c for c.
2
Let t = 753 + -751. Solve 9*z + t = -25 for z.
-3
Let k(d) = 2*d**2 - 27*d + 18. Suppose 5*g - 2*u - 63 = 0, 0 = -2*g - g - 2*u + 41. Let o be k(g). Solve 6*q - 1 = o*q for q.
1
Suppose y - 3*f + 11 = 0, 12 = 2*y + 2*y + 2*f. Let u = -115 - -114. Let s be (-5 + y + -1)/u. Solve 5 = s*a + 25 for a.
-4
Let j = 49 - 136. Let a = j + 93. Solve 0 = 15*z - 12*z + a for z.
-2
Suppose -22 + 162 = 35*o. Solve o*z - 6*z = -0*z for z.
0
Let b = -254 + 258. Solve -s = b*s for s.
0
Let f be ((-684)/(-209))/(-18) + 57/11. Solve -42*q - f = -43*q for q.
5
Suppose 0 = -4*i + 2*y + 10, -2*y - 15 = 5*i + y. Solve -17*g + 3*g = i for g.
0
Let n = 7 + -5. Suppose -b - 6*o = -2*o + 12, 8 = 4*b + n*o. Solve -c = -b*c for c.
0
Suppose -l + 6 = -30. Suppose -t = 2*t - l. Suppose -p - 2*p + t = 0. Solve 4 = -p*k + 8 for k.
1
Suppose -156 = 2*c + 4. Let j = 84 + c. Solve j*q - 11 = 1 for q.
3
Let p = -300 + 305. Solve -8*y - 19 - p = 0 for y.
-3
Let r(z) = 10*z - 33. Let h be r(4). Let c be 2/(-3) - 44/(-3). Let p be 4/c - (-5)/h. Solve -2*x - p = 3 for x.
-2
Suppose -5 = 5*q, -3*u - 3*q = -2*q - 8. Solve u*t - 2 = 1 for t.
1
Let m be ((4 - 3) + 1)/((-1)/(-4)). Solve -m*u - 4*u = -12 for u.
1
Let m(y) = -y**3 + 9*y**2 - 5*y - 15. Let p be m(8). Suppose h = 4*z - 2 - 5, -3*h + p = 3*z. Solve z = -g - 1 for g.
-3
Suppose 17*y - 208 = -72. Solve -32 = -y*i - 0 for i.
4
Suppose 35*k - 135 - 215 = 0. Solve h + k*h = -22 for h.
-2
Let i(s) = s - 3. Let o be i(3). Let g(r) = 4*r**3 + r**2 - 3*r + 1. Let c be g(1). Suppose 0 = 5*d + c*y - 54, -2*d + y + 17 = 2. Solve -3*n + d = -o*n for n.
3
Suppose -13*t = 2*t. Solve q + q - 4 = t for q.
2
Let v(i) = -i**3 - 25*i**2 + i + 34. Let x be v(-25). Let u be (-2)/((6/x)/(2/(-3))). Solve m = -1 + u for m.
1
Suppose -3*g = -5*g. Suppose -5*h = -3*n + 5, -2*n + 10 = 5*h + 15. Solve -2*c + n*c + 6 = g for c.
3
Suppose -5*g = -25, 13 = 18*j - 20*j + 5*g. Solve j*p + 50 = 20 for p.
-5
Let d be (-7 + 4)*(-5)/3. Suppose 0 = -3*o + o - c + 39, 5*c = -2*o + 59. Let z be 0 - 3/(-3)*o. Solve -4*l = z - d for l.
-3
Let k = 1 - -1. Suppose 0*m = 2*m + 3*w - 13, -k*m = 4*w - 16. Solve -8 = -m*a - 2*a for a.
2
Let l = 1333 + -1326. Solve -n = -l*n + 24 for n.
4
Suppose 16 = 4*j - 4. Let a = 7 - j. Suppose 0 = 3*t - 7 - a. Solve t*h = h for h.
0
Let z = -91 + 95. Suppose -2*i + 3*i - 19 = 0. Suppose 4*b - i = 41. Solve z*j + 3 = b for j.
3
Suppose -13*s = 22*s - 630. Solve -s + 14 = -2*j for j.
2
Let x(o) = 3*o - 1. Let f be x(1). Suppose -4*k + 3*g = -f, 9 + 1 = k + 4*g. Solve 0*u - k*u = -2 for u.
1
Suppose 454 + 586 = 52*w. Solve 8*y + w = -12*y for y.
-1
Let m = -1959 - -1990. Solve -4*j - m + 19 = 0 for j.
-3
Suppose 15 = -3*d + 8*d. Let u be 15/(-12) - (-27)/(-36). Let g be ((-3)/u)/(12/32). Solve 2*a - d*a - g = 0 for a.
-4
Suppose -t + i + 13 = 0, 2*t + 6*i - 16 = 3*i. Solve -4*b - t - 9 = 0 for b.
-5
Let i(q) = -6*q - 31. Let p be i(-13). Solve p*o + 8 = 43*o for o.
-2
Let c(v) = v**3 - 5*v**2 + 5*v - 21. Let b be c(5). Solve b*h + 27 = 7 for h.
-5
Let d be 2*-2*(-3)/4. Let z(v) = 2*v**2 - 4*v + 3. Let a be z(d). Solve 0*j = -3*j + a for j.
3
Let k = 354 + -354. Solve k*t + 2*t = 6 for t.
3
Let m(n) = -n**2 - 13*n + 0*n**2 - 24 - 2*n. Let o be m(-13). Solve o*f - 1 = 5 for f.
3
Suppose 3*p - 7*p = 20. Let y = 5 + p. Solve -2 = -y*u - u for u.
2
Let r be ((-3)/2)/(18/(-192)). Let z = -9 + r. Let k = z + -5. Solve 0 = k*p + 8 - 4 for p.
-2
Suppose 4*h - 8*h - 12 = 0, -4*t = -4*h - 44. Suppose 4*r = 5*u - 32, 2 = 2*r + t. Solve 0 = -0*o + u*o + 16 for o.
-4
Suppose -5*h = -h - 8. Suppose -5*b - 4*y = -0*b + 18, -2*y - 4 = 0. Let v be 4 - (-1 - 6/b). Solve 4*q - h = v for q.
1
Let j be 56/6*(-6)/4. Let m = j + 18. Suppose i + 9 = m*i. Solve -i*t + 2*t = -2 for t.
2
Let t = -124 - -133. Suppose -30 = -4*c - c. Solve -t = -5*r + c for r.
3
Suppose 11*o + 1 = 1167. Solve o*a = 111*a for a.
0
Let w be -2 + (-44 + -2)*-1. Suppose 5*d - 149 = -w. Let l = -433 + 433. Solve -5*m + d - 6 = l for m.
3
Let l = -12 - -47. Suppose 5 = -3*x + l. Let t be (24/x)/((-2)/(-5)). Solve 3*q + t = -0 for q.
-2
Suppose t - 13 = -w + 22, 2*t + 50 = 2*w. Suppose w*x + 12 = 32*x. Suppose x = g + 1. Solve g = -3*m + 14 for m.
3
Let m(u) = u**3 - 7*u**2 + u - 5. Suppose 2*w - 21 = -3*p, p + 4*w - 14 = -p. Let r be m(p). Solve -2 = r*i - i for i.
-2
Suppose -16 = -3*n + 2*k, 6*n = 2*n + 5*k + 26. Solve 76*r - 72*r + n = 0 for r.
-1
Let f(j) = 6*j - 18. Let a be f(7). Suppose 2*x + x - 8 = -5*m, a = 3*m - 3*x. Solve 3 = h - m*h for h.
-1
Let t = 9 - 30. Let o = t + 41. Solve o = -v + 5*v for v.
5
Let j = -3143 - -3149. Solve j*a = a for a.
0
Suppose 4*a + 4*t - 41 = -9, -28 = -3*a - 4*t. Solve -a*o + 4 = 4 for o.
0
Let c(o) = -19*o**3 + o**2 - 1. Let a be c(-1). Solve 4*j + 7 = a for j.
3
Suppose -5*r - 10*j = -8*j - 23, 6 = -6*j. Solve 0 = r*b - 6*b for b.
0
Let n = 171 + -171. Let g = -2 - -14. Suppose t - 4*t - 3*a = g, -4*a - 20 = 0. Solve z + n + t = 0 for z.
-1
Let j(s) = 208*s - 821. Let u be j(4). Solve -16*w = 53 + u for w.
-4
Suppose 221 = 11*n + 34. Solve n = 3*u + 11 for u.
2
Suppose 3*d = -j + 16 - 2, -
|
{
"pile_set_name": "DM Mathematics"
}
|
t z(b) be the first derivative of 1/3*b**3 - 2 + 3*b + q*b**2. Determine z(-4).
7
Let b be 2 - (-3)/((-9)/(-3)). Let z be b*1*7/(-3). Let s(d) = -7*d + 14. Let g(p) = -2*p + 1. Let w(y) = -4*g(y) + s(y). What is w(z)?
3
Let a(z) = -z + 23. Let n(r) = r**2 + 28*r + 45. Let v be n(-27). Calculate a(v).
5
Let x(r) = -2 - 5 - r - 1. Let y(o) = -2*o - 2. Let f be y(-6). Let k be (54/(-45))/(2/f). Determine x(k).
-2
Let m be ((-1)/(12/20) - -2)*3. Let y be m*4*(-6)/4. Let l(s) = -2*s - 6. Determine l(y).
6
Let q(r) = -r**3 + 7*r**2 - 7*r + 1. Suppose 0 = 5*d + 2*j - 31, -2*d - 4*j + 29 = 7. What is q(d)?
16
Let c be -2*(-1 - (-15)/10). Let b be (3*c)/((-5)/(-5)). Let j(q) be the first derivative of -q**4/4 - 4*q**3/3 - q**2/2 + q + 3. What is j(b)?
-5
Suppose 5*c + c - 6 = 0. Let p(z) = -z - c - 8 + 1 + 1. Suppose -12 = -0*b + 2*b. What is p(b)?
-1
Suppose 37 + 44 = -27*u. Let w(t) = -t**3 - 5*t**2 - 2*t - 1. What is w(u)?
-13
Let k(b) = -4*b. Let j be -5*5/(-50)*(2 - 4). Let m be j - (-5 + -1)/(32/16). Determine k(m).
-8
Suppose 9 + 19 = 5*y - x, 0 = -3*y + 3*x + 24. Let f(l) = 0 + 4*l**3 - 6*l**2 + 5 - 8 + 3*l - 3*l**3. Determine f(y).
-13
Let p(r) = r**3 + r**2 + 10. Let w be p(0). Suppose -u = u - w. Let x(s) = -20*s + 6*s**2 - s**3 - 7*s + 5 + 35*s - 13*s. What is x(u)?
5
Let y(s) be the first derivative of 2*s**3/3 + 11*s**2/2 + 10*s + 118. Determine y(-7).
31
Let n be 4/1 - 7 - -8. Let v(i) = -i**3 + 3*i**2 + 14*i - 11. Calculate v(n).
9
Let x(r) = r**2 + 17*r + 6. Let u(j) = 2*j**2 + 29*j + 11. Let t(d) = -3*u(d) + 5*x(d). Calculate t(-3).
-6
Let z = -1809 - -1803. Let p(m) = -m**2 + 2*m + 2. What is p(z)?
-46
Let i(j) be the first derivative of -j**4/4 - 20*j**3/3 - 19*j**2/2 - 5*j - 134. Calculate i(-19).
-5
Let p(n) = -n**3 - 4*n**2 + 4*n - 10. Suppose -75*h - 389 = -14. Give p(h).
-5
Let r(c) = 5*c**3 + 20*c**2 - 4*c - 16. Let n(f) = f**3 + 4*f**2 - f - 3. Let q(j) = 11*n(j) - 2*r(j). What is q(-5)?
-11
Let o = 326 + -316. Let n(m) = 2*m - 22. Calculate n(o).
-2
Suppose -5*n - 21 = -12*n. Let c be ((-8)/12)/(-1)*n. Let o(u) = u**3 - u**2 - u. Determine o(c).
2
Let q(y) = -y**2 - 7*y + 91. Let c be q(-13). Let j(p) = p**3 - 12*p**2 - 14*p + 17. What is j(c)?
4
Let x(k) be the first derivative of 3*k**2 - 14*k - 11. Let v be x(3). Let r(d) = -d + 1. Determine r(v).
-3
Let f(s) = 1 - 45*s**2 - 41*s**2 + 2*s + 85*s**2. Calculate f(2).
1
Let o(n) = n + 48. Let b(p) = -p**2 - 6*p + 40. Let s be b(-10). Calculate o(s).
48
Suppose 5*k = 3*i - 17, -4*k + 4*i = 6*i - 4. Let s(f) be the first derivative of f**2 - f + 117. Calculate s(k).
-3
Let h(k) = -k - 1. Let q = 217 - 209. What is h(q)?
-9
Suppose 4*u - 4*d + 32 = 0, -34*u = -35*u - 2*d + 1. Let v(s) = -s**2 + 5*s + 6. Determine v(u).
-44
Let b(x) = -32*x**2 + x + 2. Let o(i) = 3*i**2 + 24*i - 28. Let c be o(-9). What is b(c)?
-31
Let d(y) = 2*y + 29. Let p(n) = n + 14. Let m(i) = -2*d(i) + 5*p(i). Suppose 19 + 30 = -7*q. Determine m(q).
5
Let k(o) be the third derivative of o**6/120 + o**4/8 - o**3/2 + 275*o**2. Determine k(2).
11
Let c(v) = v + 22. Let f(o) = -o**3 - 13*o**2 + 16*o + 11. Let t be f(-14). Give c(t).
5
Let x(v) be the first derivative of -v**3/3 + 11*v**2/2 - 2*v + 15. Calculate x(10).
8
Let s(h) be the first derivative of 5/3*h**3 - 2*h - 1/4*h**4 - 9 + h**2. Determine s(5).
8
Let y(v) = -v**2 + 4*v - 1. Let z be y(2). Let t(o) = -2*o - 5*o**2 + 2*o**2 + 1 - o**z + 4*o**2. Suppose 19 = -n - 4*d, 5*n = -2*d - 2 - 3. Calculate t(n).
-1
Let m(h) = h**3 + 5*h**2 + 6*h + 5. Let y be m(-3). Let t(x) = 8 - 4 - x**2 - y*x - 4. Determine t(-5).
0
Let c(p) = 2*p - 4. Let a(b) = 5*b - 13. Let h(x) = -3*a(x) + 8*c(x). Suppose 0*j + 2*j = -36. Let v = j + 15. Calculate h(v).
4
Let r = -1 + 4. Let w(j) be the first derivative of j**4/4 - 2*j**3/3 + j**2 - 3*j + 1. What is w(r)?
12
Let z(w) be the third derivative of -w**6/120 + w**5/15 + w**4/12 + w**3/6 + 3*w**2. Determine z(4).
9
Let r(w) be the first derivative of -10*w**3/3 + w**2/2 + w - 27. Let x = 1 + -2. Give r(x).
-10
Suppose 5*y - 64 = 9*y. Let p = y - -20. Suppose p = -4*i - 16. Let l(r) = r**2 + 3*r + 2. Give l(i).
12
Let u(i) = -i**2 + 2*i. Suppose 3*f + k + 10 = 0, 0*f + 3*k + 16 = -2*f. What is u(f)?
-8
Suppose -4*u + 2 + 2 = 0, -4*y - 5*u = -13. Let q(p) = 0 + p**3 - 4*p**2 + 3 + 4*p**2 - 3*p. What is q(y)?
5
Let a(b) = -4*b + 2. Let x(h) = 3*h - 1. Let s(v) = 2*a(v) + 3*x(v). Let f(w) = 5*w + 11. Let y(k) = f(k) - 4*s(k). What is y(-7)?
0
Let z(t) be the third derivative of -t**6/120 + t**5/60 + t**4/6 - 462*t**2. Determine z(2).
4
Let h(b) = 2*b - 7. Let t(z) = -z + 4. Let d(w) = -6*h(w) - 10*t(w). Let l = 33 - 35. Let k = 7 + l. Calculate d(k).
-8
Let h(r) be the second derivative of -r**3/2 - 11*r**2/2 - 30*r - 3. Give h(-9).
16
Suppose -2*v + 2 = -8. Suppose -4*h + v = 5*r - 7, 5*h = 4*r - 26. Let i(p) = p**3 - 2*p**2 - 2*p - 3. Give i(r).
21
Let f = -50 + 41. Let w(c) = -2*c**3 - 25*c**2 - 11*c - 23. Let j(h) = h**3 + 12*h**2 + 5*h + 11. Let a(u) = f*j(u) - 4*w(u). What is a(-8)?
1
Suppose -5*q = 4 - 19. Suppose -q*h - h = -12. Let c(m) = 3*m + 8*m**2 - 17 + 21 - m**h - 11*m. Calculate c(7).
-3
Let v be (2 - 0)*3*-1. Let x be 4/(-8)*v + 2. Let a(k) = -1 + 0*k + k**2 + 2*k - x*k**2. Determine a(1).
-3
Let f(k) be the third derivative of 13*k**4/24 - 15*k**2 - 3*k. What is f(-1)?
-13
Let s be (0 + -3)/((-6)/14). Let d(b) = 1 - s*b + 6*b + b + 9*b. Calculate d(-1).
-8
Let b(u) = -10*u**3 - u**2 + u + 1. Let g = -4 + 15. Suppose g - 31 = -4*j. Suppose j*c - 15 = -5*h, -3*h + 1 = -c + 8. Determine b(h).
9
Suppose h + 41 = 5*g, 3*g + 5*h = 75 - 28. Let q(v) = v**2 - 5*v - 10. Determine q(g).
26
Let g(p) = -4*p**3 + 48*p**2 + 21*p - 29. Let z(m) = -m**3 + 16*m**2 + 8*m - 10. Let h(f) = 2*g(f) - 7*z(f). What is h(-15)?
-3
Let o(m) = -6*m**2 - 4 - 15*m + 5*m + 7*m**2. Determine o(8).
-20
Let k(x) be the second derivative of 0*x**4 - x + 0*x**3 + 0 - 11/60*x**5 - 5/2*x**2. Let t(h) be the first derivative of k(h). Give t(1).
-11
Let l(s) = 3*s - 5*s + 3*s + 7 + 0. Determine l(-9).
-2
Let s(y) = 32*y**3 - 2*y**2 + y. Suppose -3 = 3*t - 3*l, 5*t - 3*l - 13 = -7*l. Determine s(t).
31
Let o(y) = -y**2 + 3*y + 4. Let k be -1 + -38 + 6 + -3. Let t = -33 - k. Give o(t).
4
Let b = -1969 - -1950. Let p(n) = n**3 + 20*n**2 + 16*n - 49. Give p(b).
8
Let v(w) = w**3 + 2*w**2 - 2. Suppose 17 = 4*j - 11. Suppose 0 = -5*k + j + 3. Give v(k).
14
Let r(p) be the second derivative of p**4/6 + p**3/3 + 7*p**2 - 710*p. What is r(0)?
14
Suppose -5*z - 26 = 4. Let b = 10 + z. Suppose 3*m - 5*m + 8 = -4*n, -b*n - 4*m - 20 = 0. Let q(j) = j**3 + j**2 - 2*j - 3. Give q(n).
-15
Let m(n) be the third derivative of -n**4/24 - n**3/3 + 14*n**2. Suppose -3*l = -4 + 28. What is m(l)?
6
Let t be (-12)/(-2 + 7/((-35)/(-20))). Let p(i) = -i**2 - 7*i - 7. Give p(t).
-1
Let y(m) be the second derivative of 2*m**2 - 3*m + 0 + 1/6*m**3. What is y(-3)?
1
Let h = 53 + -100. Let b = h + 41. Let d(z) = z + 6. Give d(b).
0
Let r = -221 + 217. Let z(g) = -3*g**2 - 12*g - 10. Calculate z(r).
-10
Let r(n) be the second derivative of -n**3/6 - 12*n**2 + 7*n + 29. What is r(-9)?
-15
Let g(q) be the first derivative of q**4/4 + 2*q**3 + 7*q**2/2 - 2*q + 35. Give g(-5).
-12
Suppose -2*i - 2*i + 4*q = -20, 0 = -i - 2*q + 5. Suppose -i*u = -c + 34, c + 19 = -3*u + 3*c. Let s(g) = g**3 + 6*g**2 - 6*g + 8. Calculate s(u).
1
Let o(n) be the third derivative of -n**5/60 - 5*n**4/24 - 5*n**3/6 - 14*n**2. What is o(-3)?
1
Let k(w) = w**3 + 5*w**2 + 3*w - 5. Suppose -10 = -2*q + q. Suppose 0 = -14*a + q*a - 16. Determine k(a).
-1
Let f(m) = 6*m**3 - 9*m**2 - 8*m + 9. Let l(z) = -5*z**3 + 8*z**2 + 7*z - 8. Let b(s) = 4*f(s) + 5*l(s). Suppose 16 = v + 4*q, 3*q - 2*q + 9 = 3*v. Give b(v).
8
Let w(b) = b + 7. Suppose 4*s = -12, 4*s = -5*a - 2 - 0. Suppose -a*z - 2 = -12. What is w(z)?
12
Let b(j) = -j**3 - 6*j**2 - 3*j + 3. Suppose -6 - 34 = 8*s. Determine b(s).
-7
Suppose 20 = -10*z + 30. Let a(q) = -18*q**3 - q**2 - q + 1. What is a(z)?
-19
Let u(y) = y**2 - 12*y + 20. Suppose -4*j = x - 32, 4*j + 60*x - 61*x = 40. Calculate u(j).
-7
Let d = 32 + -34. Let n be (3 + -2)*d/(-2)*-1. Let k(t) = 2*t + 10*t**2 - 3*t - 3*t**2. What is k(n)?
8
Let b(t) = t**3 - 4*t**2 + 3*t + 2. Let s(g) be
|
{
"pile_set_name": "DM Mathematics"
}
|
180 - m**5/120 - 9*m**4/8 + m**3/6 - 8*m. Let d(c) be the second derivative of h(c). What is the tens digit of d(8)?
9
Suppose 5*h + 121 = -104. Let c be 18/h - 734/(-10). Let i = -50 + c. What is the tens digit of i?
2
Suppose 32*v - 65040 = 2*v. What is the units digit of v?
8
What is the tens digit of 1/((-4)/8) + 5/((-15)/(-35961))?
8
Let w(p) be the third derivative of 17*p**4/6 + 4*p**3/3 - 18*p**2. Let m(r) = r**3 - 11*r**2 - 2*r + 24. Let u be m(11). What is the hundreds digit of w(u)?
1
Let r be (-2)/(-8) + (-1761)/(-12). Let h be (-304)/16*(-20 + 1) + (-6 - -6). Suppose c + y + h = 6*c, -2*c + r = -3*y. What is the tens digit of c?
7
Suppose -d + p + 13 = 4, 40 = 5*d - 4*p. Suppose 5*b = 4*t + 31, -9 = d*b - 3*t - 34. Suppose -b*w = -100 - 5. What is the units digit of w?
5
Suppose 0 = 2*j - 10*g + 8*g - 5630, 4*j - 11270 = 2*g. What is the thousands digit of (7 + 180/(-24))/((-1)/j)?
1
What is the units digit of (1 - (-3)/(-2))*(-2 + 20206)*-1?
2
Let o be (5 - 2)*-11 + (6 - 9). Let f = o + 286. What is the units digit of f?
0
Let m(r) = 2*r**2 - 50*r + 69. Let c(l) = 25*l + 159. Let s be c(-5). What is the hundreds digit of m(s)?
6
Let g = 40 + 74. Let b = g - 6. Suppose 3*n - 3*z = b, 2*z - 25 = -3*z. What is the units digit of n?
1
Let j = -647 + 204. Let k = j + 870. What is the tens digit of k?
2
Let x(i) = -5*i + 9. Let j be x(-9). Let c = 368 - 368. Suppose 0 = 3*n - c*n - j. What is the units digit of n?
8
Suppose -20083 = -4*k + 16*n - 13*n, -5*n + 20107 = 4*k. What is the tens digit of k?
2
What is the thousands digit of 20361/(-6)*(-7 + 1 + 3 + 1)?
6
Suppose 264*g - 274*g = -21480. What is the tens digit of g?
4
Suppose 1596*l - 1593*l = 3*a + 55020, 0 = l - 2*a - 18342. What is the tens digit of l?
3
Suppose 0 = -h + 2*h + h. Suppose -4*j + 4*s - 9*s + 2021 = h, -5*j - 4*s + 2524 = 0. What is the hundreds digit of j?
5
Let w be 4926/34 + 34/289. Let h = w + 269. What is the tens digit of h?
1
Let h(k) = -8*k**3 + k**2 - 2*k + 2. Let g be h(1). Let l be g/(((-15)/24)/5). Let q = -29 + l. What is the units digit of q?
7
Suppose 3*m = 5*p + 237, -61 - 54 = 3*p + 5*m. Let n = 1240 + p. What is the units digit of n?
5
Suppose -4*g + 24186 = -2*i - 3626, 4*i - 6980 = -g. What is the tens digit of g?
5
Let h(a) = -2*a**2 - 5*a - 2. Let r be h(-3). Let b(p) be the first derivative of -p**4/2 - 7*p**3/3 - 5*p**2/2 + 4*p + 1696. What is the tens digit of b(r)?
0
Suppose 254*k - 80638 = 231*k. What is the units digit of k?
6
Suppose 26 = 4*o + r, -o + 4*r + 36 = 3*o. Suppose 0 = -5*u - 5*c + 55, -4*u + 2*u + o = -3*c. What is the tens digit of 144 + (-14)/56 + (-30)/u?
4
Suppose 2*x = 3*q + 12640, -3*q - 41 = -47. What is the thousands digit of x?
6
Let h = 23792 + -11894. What is the hundreds digit of h?
8
Let h(f) = f**3 - 6*f**2 - 6*f - 38. Let v be h(10). Suppose v*y + 40 = 297*y. What is the units digit of y/(-12)*138 + 2 + -4?
0
Let r(o) = -o - 12. Let h be r(-14). Let q(w) = h - 1 + 57*w + 96*w - 16*w. What is the units digit of q(1)?
8
Let f(g) be the third derivative of -1/120*g**6 + 0 - 21*g**2 + 0*g - 1/24*g**4 - 1/30*g**5 - 1/6*g**3. What is the units digit of f(-2)?
1
Let m be 9 + -1*(17 + -8). Suppose m = 5*g + f - 1045, -2*f + 836 = 4*g - 7*f. What is the hundreds digit of g?
2
Suppose m = 2*h + 3*m - 616, h - m = 318. Suppose r - 4*u - h = 0, 15*r - 4*u - 1517 = 10*r. What is the tens digit of r?
0
Let v(n) = n**2 + 2*n + 15. Suppose -8 = 11*x - 13*x. Let o = -11 + x. What is the tens digit of v(o)?
5
Let h be (-3)/(-8)*4*(-14928)/(-36). Let n = h - 215. What is the units digit of n?
7
Let z be (-2)/(-8) - (-14)/8. Suppose -20 = -z*y - 2*y. Suppose y*o + 24 - 69 = 0. What is the units digit of o?
9
Let r = 2255 - 748. Suppose m - 4*n = r, 2*m + n - 2978 = -0*m. What is the tens digit of m?
9
Let n(i) = -i**3 - 11*i**2 + 17*i - 55. Let t be n(-14). Suppose 126*x - 130*x = 28. What is the tens digit of x + 5 - (3 - t)?
9
Let u(s) = 17422*s**2 - 23*s + 24. What is the hundreds digit of u(1)?
4
Let w(d) = 3*d**3 - 23*d**2 + 38*d - 237. What is the ten thousands digit of w(31)?
6
Suppose -14*l + 8*l - 12 = 0. Let u be 4/l*((-36)/8 - -3). Suppose -5*x = -3*o + 290, 0*x = -u*o + 3*x + 282. What is the tens digit of o?
9
Suppose 7*o + 40 = 5*v + 2*o, 9 = -3*o. Suppose 2*t + 5 = v*y + 4*t, 2*y + 22 = 4*t. What is the tens digit of 178*y/5*(-20)/8?
8
Suppose 4*p + d = 179994, 22*p = 20*p - 7*d + 89984. What is the ten thousands digit of p?
4
Let w(l) be the first derivative of 7*l**2/2 - 5*l + 81. Let x(a) = 2*a**2 - 4*a + 3. Let u be x(2). What is the tens digit of w(u)?
1
Let k(q) = -q**2 - 2*q + 1. Let y be k(-3). Let n be 1*35/21 + (-2)/(-6). What is the units digit of n/(y/5 + 148/360)?
0
Let v(n) = -2*n**2 + 24*n - 5. Let x be v(12). Let c(i) = -61*i + 17. What is the units digit of c(x)?
2
What is the tens digit of (42/5)/((-7)/(-3710))?
5
Let i = 191 - 762. Let l = 1000 + i. What is the units digit of l?
9
Suppose -s = 4*f - 41, -s + 1 - 4 = 0. What is the units digit of 2/(-11) - (-19945)/f?
3
Let s(t) = 2*t**3 - t + 1. Let o(z) = 37*z**3 + 4*z**2 - 4*z + 8. Let d(g) = -o(g) + 4*s(g). What is the units digit of d(-3)?
3
Suppose -5*m = -3*b - 812, 4*m - 3*b = 92 + 560. Suppose -3*j + 200 + m = 0. What is the tens digit of j?
2
Let v(q) = -q - 2. Let t be v(-2). Let y be 6/(36/110) - (7/3 + -2). Suppose t = a - 14 - y. What is the units digit of a?
2
Let y = 11425 - -4124. What is the tens digit of y?
4
Let q(j) = -6*j - 7. Let t be q(-4). Let y = t - 17. Suppose h + y*p = -3*p + 22, 4*h + 5*p = 123. What is the units digit of h?
7
Let c(i) be the second derivative of i**3/6 + 111*i**2/2 + 4*i. Let j = 202 - 202. What is the hundreds digit of c(j)?
1
Let i = 424 - -6788. What is the units digit of i?
2
Let a = -2322 + 3264. Suppose -11*n + 5*n + a = 0. What is the tens digit of n?
5
Let i be (-22)/(-121) - (90/11 + -2). Let x be ((-879)/i)/(2/(-4)). Let g = 479 + x. What is the units digit of g?
6
Suppose m = -h + 3661, -7*h = -8*h + m + 3669. What is the thousands digit of h?
3
Let h = 546 - 545. Let p(m) = -m**3 + 5*m**2 + 3*m - 9. Let f be p(6). What is the tens digit of (-1)/(h/4) - f?
2
Let z(y) = -5*y**2 - 265*y + 411. Let b(u) = u**2 + 53*u - 82. Let x(v) = -11*b(v) - 2*z(v). What is the tens digit of x(-32)?
5
Suppose -7*h - 606 = -4*h. Let p = -136 - h. What is the units digit of p?
6
Suppose -30 + 18 = 4*z, -2*a - 2*z + 9164 = 0. What is the thousands digit of a?
4
Suppose 6*v - 79 + 43 = 0. What is the units digit of 11630/20 + v/(-4)?
0
Suppose -2762*x + 2581800 = -2662*x. What is the ten thousands digit of x?
2
Let o = -88024 + 127495. What is the thousands digit of o?
9
Suppose -10*q = -5*q + 5*h + 20, -h + 10 = -q. What is the units digit of (-189)/((-49)/q)*94/(-2)?
9
Suppose 2860 = -67*n + 72*n. Let g = 109 + n. What is the hundreds digit of g?
6
What is the tens digit of -6817*(4/(-6))/(228/18 + -12)?
1
Suppose 31*q - 3264376 = -32*q - 43*q. What is the tens digit of q?
9
Let t(c) = -3*c + 9. Let d be t(10). Let u = d + 26. Suppose u*r - 100 = 5. What is the units digit of r?
1
Let d(a) = -281*a - 1910. What is the thousands digit of d(-73)?
8
Let w = -492 - -495. Suppose r = w*u - 3293, 3*r = -u + 1120 - 39. What is the thousands digit of u?
1
Let p(s) = -s**2 - 3*s - 2. Let o(a) = a**2 + 8*a + 10. Let c be o(-6). Let w be p(c). Suppose -3*x + 6 = 18, w = -g - 5*x + 28. What is the tens digit of g?
4
Suppose 0 = -5*h - 28*i + 25*i + 125006, 5*h - i - 124998 = 0. What is the ten thousands digit of h?
2
Suppose 0 = -5*i + 449 - 89. Suppose i = 2*q + 7*q. Suppose -q*j = -3*j - 475. What is the units digit of j?
5
Let a = 592 + -216. What is the hundreds digit of a + (-2 + 3)/(-1*1)?
3
Let t = -41 - -43. Suppose -10*m = -t*m - 72. What is the units digit of 99*12/m + 4?
6
Let y = 157 + -79. Suppose -5*n + y = -22. What is the hundreds digit of (-16)/4*(-725)/n?
1
What is the thousands digit of 100302/16 + 1161/72 + -16?
6
Let j = 432 - 438. What is the hundreds digit of (-23 - -38)*(-64)/j?
1
Let c = 3650 + -1594. What is the units digit of c?
6
Let f(d) = 4190*d**2 + 54*d + 86. What is the units digit of f(4)?
2
Let m = -53 - -46. Let b(n) = 9*n**2 - 6*n - 4. What is the units digit of b(m)?
9
Let s
|
{
"pile_set_name": "DM Mathematics"
}
|
t g(n) = -n**3 + 6*n**2 + 7*n + 3. Let u(h) = 17 + h**3 - 4*h**3 + 11*h**2 + 11*h - 2*h**3 + 6*h**3. Let q be u(-10). What is g(q)?
3
Let y be 4/(-1) - (3 - 10). Let h be y/(-9) + (-80)/(-15). Suppose -2*p + 2 = v - 2, 2*p = -h*v + 4. Let a(s) = 6*s**2 - 2*s - 1. Determine a(p).
19
Let m(p) = -3*p - 6. Let o(g) = -10*g - 17. Let f(b) = -8*m(b) + 3*o(b). Let a(s) = 8*s - 130. Let l be a(16). Determine f(l).
9
Suppose -527*b + 531*b - 20 = 0. Let x(j) = 3*j - 1. Calculate x(b).
14
Let i(r) = 11*r**2 + r - 5. Let b(q) = 11*q**2 + q - 7. Let u be 2/(-3)*(-4 - (2 + 0)). Let v(x) = u*i(x) - 3*b(x). Give v(-1).
11
Let s(h) = h**3 - 14*h**2 + 13*h - 1. Let j = -333 - -346. Calculate s(j).
-1
Suppose 3*b - 4*b + 4*g = -10, -4*g - 4 = -4*b. Let t(z) = 10*z - 1. Let y(x) = -7*x + 1. Let j(k) = 5*t(k) + 7*y(k). Calculate j(b).
0
Let b(x) = x**3 - 5 + 4*x**2 - 4*x - 4*x + x. Suppose 5*i + 3*z = 18, 4*i - z - 17 = -6. Suppose 0 = 3*r - i*m + 6, 2*r + 2 - 7 = 5*m. Determine b(r).
5
Let u(m) = 4 + 2*m + 0 + 7. Let l = -2141 + 2133. Calculate u(l).
-5
Let z(j) = -132 - 6*j + 2*j - j**2 + 0*j**2 + 59 + 79. Give z(-6).
-6
Let q(l) be the first derivative of 1/3*l**3 - 3*l - 3 + l**2. Let k be 3/(-2)*8/(-6). Calculate q(k).
5
Let l(p) = 12*p**2 + 3*p + 0*p - 11*p**2 - 7*p - 3. Let z(b) = 2*b**2 - 9*b + 14. Let j be z(2). Determine l(j).
-3
Let l(g) = -10*g - 18. Let j(r) = -13*r - 22. Let f(n) = -4*j(n) + 5*l(n). Let q = 8 + -3. Determine f(q).
8
Let f(k) = k + 17. Let u(j) = 3*j**3 - 25*j**2 - 18*j - 12. Let y be u(9). Determine f(y).
5
Let q(z) be the third derivative of -z**5/60 + z**4/4 + 5*z**3/6 - 3*z**2. Let g = -9 - -12. Suppose 21 = -0*c + g*c. Determine q(c).
-2
Let f(t) = -t**2 + t. Suppose 0 = -2*k + 6*k - 56. Let w be (4/(-6))/(k/(-21)). Let c(z) = z**3 + z**2 + z - 4. Let b(u) = w*c(u) - 4*f(u). Calculate b(-5).
11
Let b = -20 - -22. Let q = 10 - b. Let d(k) = -k**2 + 7*k + 7. Give d(q).
-1
Let i be ((-4)/3)/(2/(-6)). Suppose -i*v - 38 = 5*z, -5*v + z - 64 = -z. Let a be (-57)/(-18) - (-2)/v. Let y(g) = -2*g**2 + 4*g. What is y(a)?
-6
Let p(w) = -w**2 + 5*w + 7. Let r be p(6). Let b(v) = 1 - 5*v**2 + r + v + 7*v**2 - 3*v**2. Give b(4).
-10
Let w = -8 - -12. Let o(p) = -2 + 4*p - 7*p + w*p - 3*p**2 + 3 + p**3. Let d be ((-28)/(-21))/(2/3). Calculate o(d).
-1
Let t(z) = 3*z**2 + 9*z - 2. Let y be t(-4). Suppose -o = 3*v + 11, o = 2*v + y + 4. Let c(p) = -p**3 + 3*p**2 + 4*p + 5. Give c(o).
5
Let m(i) be the first derivative of i**5/20 + i**4/4 - i**3/6 - 2*i - 1. Let t(b) be the first derivative of m(b). Suppose 31*j = -5 - 88. Calculate t(j).
3
Suppose -14*q - 13*q - 270 = 0. Let d(u) = u**3 + 9*u**2 - 11*u - 11. Calculate d(q).
-1
Let j(t) = -t**2 - 13*t - 38. Let p be j(-4). Let y(l) = -l**2 - 2*l. What is y(p)?
0
Let w(z) = z**2. Let c be (-5 + 0)*(-6)/15. Let b be (c + 0)/2*(-72)/(-24). Calculate w(b).
9
Suppose 4*b = -g, 44*g - b + 15 = 48*g. Let s(p) be the second derivative of p**4/12 - p**3 + 2*p**2 - p. Determine s(g).
-4
Let r(a) = 2*a. Let n(p) = p**3 - 28*p**2 + 23. Let i be n(28). Suppose 5*m = -2 - i. Give r(m).
-10
Let y(m) = -13*m - 70. Let r(t) = 48*t + 279. Let g(b) = 4*r(b) + 15*y(b). Give g(20).
6
Suppose 3*s - 36 = 5*q, 0*s - q = s - 4. Let y(n) = -7*n**2 + 36*n - 26. Let v(k) = 4*k**2 - 20*k + 14. Let b(t) = 5*v(t) + 3*y(t). Determine b(s).
-1
Let g = -4 + 5. Suppose -5*a + g + 4 = 0. Let m(p) = 0 + 5*p - p + 0 - a. Determine m(1).
3
Suppose 3*w = 5*w - 12. Let v(l) = -l**2 - 12*l - 9. Let g(n) = -269*n**2 + 4 + 138*n**2 + 13*n + 5 + 132*n**2. Let b(t) = w*v(t) + 5*g(t). Calculate b(-6).
-3
Let b be (-2)/(-5) + (-1696)/40. Let k be (-1)/(-7) + 342/b. Let y(i) = i + 11. What is y(k)?
3
Let l(c) = 3*c**2 - 5*c. Let p(b) = 2*b**2. Let a(u) = l(u) - 2*p(u). Give a(-5).
0
Let g(y) = -y**3 + y**2 + y + 2. Let j(w) = -24*w**2 + 6*w - 7. Let h be j(2). Let x = 91 + h. Determine g(x).
2
Let y(f) = -f**3 + 10*f**2 + f - 8. Let r be y(10). Let o(t) = r*t**2 - 4*t**3 + 16*t + 2 + 5*t**3 - 13*t. Give o(-2).
-4
Suppose 3*r + 2*r + 5 = 0, -g = r + 5. Let a(o) = -o**3 - 4*o**2 - 4*o - 5. Let n(x) = -2*x**3 - 9*x**2 - 9*x - 10. Let l(j) = g*n(j) + 7*a(j). Determine l(-7).
-2
Let g = -64 + 103. Let f = 40 - g. Let o(a) = -10*a**3 + a - 1. Determine o(f).
-10
Suppose -38*o - 56 = -52*o. Let n(u) = -4*u + 12. What is n(o)?
-4
Suppose 7 = -26*t + 27*t. Let w(k) = 0*k**2 + 13 + t - 19 - k + 2*k**2. What is w(-2)?
11
Suppose 14 = -4*r - 6. Let d(o) = -7*o**2 - 12*o - 7. Let j(s) = 15*s**2 + 25*s + 15. Let p(x) = -13*d(x) - 6*j(x). Determine p(r).
-4
Let y(g) be the first derivative of -3/8*g**4 + 0*g + 9 + 3*g**2 + 1/60*g**5 + 4/3*g**3. Let b(z) be the second derivative of y(z). Calculate b(6).
-10
Let r be -1 - (-2 - -2 - 11). Suppose 2 = -2*z + r. Let p(u) = 4*u**2 + 10*u - 8. Let a(l) = 5*l**2 + 11*l - 10. Let s(d) = 5*a(d) - 6*p(d). Determine s(z).
-6
Let f be (-1)/(58/10 + -6). Let z(c) be the second derivative of -5/12*c**4 - 12*c + 1/20*c**f + 1/2*c**2 + 0 + 1/6*c**3. Give z(5).
6
Let u = 57 - 56. Let n(z) = -3 + z + u + 2 + 2. Calculate n(-6).
-4
Let m(s) = 7*s - 1. Let j(i) = i + 37. Let y be j(-18). Suppose -y = 14*d + 5*d. Calculate m(d).
-8
Let m(x) = -3*x + 1. Let w be (-3 + 7)/2 - -2. Suppose 4*t - 4 = -4*i, w*t + 4 = -3*i + 6. Let k be i + 2 + -7 + 0. What is m(k)?
10
Let h(a) = -a**2 - 6*a. Suppose -7*u - 8 = -5*u. What is h(u)?
8
Let a(m) be the third derivative of m**8/3360 + m**7/2520 + m**4/6 + 4*m**3/3 + 2*m**2 - 8*m. Let v(z) be the second derivative of a(z). Give v(1).
3
Let f(s) be the second derivative of -5*s**3/6 + 14*s**2 + 195*s. What is f(5)?
3
Let j = -284 - -178. Let l = 102 + j. Let o(h) be the third derivative of h**5/60 + h**4/12 - h**3/2 - h**2. Calculate o(l).
5
Let i(l) be the second derivative of -l**4/12 + 2*l**3/3 + l**2 - 14*l - 3. Suppose 2*o - 17 = -7. What is i(o)?
-3
Let b(m) = -6*m**2 - 3*m**2 + m + 7*m**2. Let v(n) = n**3 - 3*n**2 - 3*n. Let i be v(4). Suppose -5*u = i*j - 6, -5*u - 4*j + 7*j = -13. Determine b(u).
-6
Let t = -59 + 53. Let k(x) = 3*x + 11. Let r(b) = 2*b + 10. Let i(w) = 3*k(w) - 4*r(w). Let n(f) = 6. Let z(y) = -2*i(y) - 3*n(y). Give z(t).
8
Let h(l) = l - 2. Suppose 15 + 75 = 5*f. Suppose -2*r = f - 14. What is h(r)?
-4
Suppose 0 = -0*b + 5*b + 5. Let l = -6 - b. Let n(g) = -g**2 - 2*g + 1. Let p(c) = -c**3 - 9*c**2 - 10*c + 1. Let d(h) = -3*n(h) + p(h). Calculate d(l).
-7
Let m(c) be the second derivative of c**3/6 - 2*c**2 - 220*c. Determine m(-4).
-8
Suppose 2*f - f = -1. Let n(i) = 15*i**3 - i**2 + 3 + 8 - 10. Determine n(f).
-15
Suppose -1101*j + 1096*j = 5. Let d(p) be the second derivative of p**4/4 - p**3/6 - p. Calculate d(j).
4
Let o(p) = 11*p + 28. Let a(v) = -18*v - 43. Let t(h) = -5*a(h) - 8*o(h). Give t(7).
5
Let k be 1 + (11 - (-245)/(-21)). Let y(p) be the third derivative of 1/4*p**4 - 1/60*p**5 - k*p**3 - p**2 + 0 + 0*p. Give y(3).
7
Let x be 3/(-1) + 7 - 14. Let b be x*-3*1/6. Let m(s) = s**2 - 6*s + 6. Give m(b).
1
Let m(y) = y**3 + 17*y**2 + 18*y + 17. Suppose -30*p + 33*p - u + 52 = 0, 0 = -p + 3*u - 28. Calculate m(p).
-15
Let b(l) = -l**2 - 7*l - 8. Let m(k) = 2*k**2 + 12*k + 12. Let x(i) = 8*b(i) + 5*m(i). Calculate x(-4).
12
Let r = 23 + -61. Let w = r + 41. Let d(n) = -2*n - 4. What is d(w)?
-10
Let z(q) = -2*q**2 + 4*q - 5. Let r(n) = -6*n - 50. Let i be r(-9). Calculate z(i).
-21
Let m(p) = -p**2 - 2. Let b = -112 - -112. Calculate m(b).
-2
Let w(g) = 6*g**2 - 12*g + 17. Let o(z) = 7*z**2 - 14*z + 20. Let s(l) = 5*o(l) - 6*w(l). Determine s(5).
-17
Let a(z) = -14*z + 2. Let d(t) = -4*t. Let v(w) = a(w) - 3*d(w). Give v(-5).
12
Suppose k + 3*h = -0*k + 9, -5*k + h - 19 = 0. Let z(q) be the third derivative of -q**4/12 - q**3/3 + 76*q**2. What is z(k)?
4
Let d = -215519/120 - -1796. Let q(z) be the third derivative of -1/3*z**4 + 8*z**2 + 1/10*z**5 + 2/3*z**3 - d*z**6 + 0 + 0*z. Give q(5).
-11
Let v(h) = h**3 - 6*h**2 - 7*h - 8. Let j(u) = -2*u**2 - 7*u + 37. Let d be j(-6). Give v(d).
-8
Suppose 3*n - 6 = -0. Suppose 2*k - 2 = -g, 3*k = 5*k + 2*g - n. Let b(h) be the second derivative of h**5/20 - h**4/12 + h**2/2 + 71*h. Give b(k).
1
Let u(o) = 4*o**2 - 2*o - 1. Let a be u(2). Suppose -2*g - 5*v + 6 = -a, g = -4*v + 13. Let i(f) = 8*f**3 + f**2 - 1. Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
ive n(m).
-2
Let q(w) = -w**2 + 6*w - 6. Let y = -53 - -57. Determine q(y).
2
Suppose -5*v = 0, v - 4*v + 20 = 4*n. Let w = -37 + 38. Let j(o) = -o**3. Let u(y) = -5*y**3 - 4*y**2 - 4*y - 1. Let k(m) = w*u(m) - 6*j(m). Give k(n).
4
Let b be (-2)/(-4) + (-10)/4. Let q be b/(-4) - 17/(-2). Suppose 4*v + q = -7. Let f(w) = -w**3 - 3*w**2 + 4*w - 5. What is f(v)?
-5
Let a(z) be the first derivative of 0*z**2 + 12 + z + 1/3*z**3. Calculate a(1).
2
Let y(l) = l**2 + 3*l. Let d(o) = o**2 + 7*o - 2. Let q be (-2)/3 + 224/(-24). Let t be d(q). Suppose -6*v = v + t. Give y(v).
4
Let s(i) = 3*i**3 - 7*i**2 + 16*i - 10. Let j(k) = -10*k**3 + 20*k**2 - 49*k + 31. Let q(w) = 2*j(w) + 7*s(w). Calculate q(7).
-8
Let a(o) = o**2 - 10*o - 4. Let d be (72/(-144))/((-1)/26). Calculate a(d).
35
Let d(w) = w**3 + 8*w**2 + 6*w - 6. Let q be 35*(3 - 6/3). Suppose 3*a + j - 18 - 77 = 0, 0 = a + 2*j - q. Suppose -a = 5*r + 4. Determine d(r).
1
Let i(a) = a - 1. Suppose 0 = x - 2*x + 15. Let m(w) = -x + 6 + w + 9. Let p(c) = -i(c) - m(c). Calculate p(2).
-3
Let s(l) = -l + 1. Suppose 0*j = j - 4. Suppose j*x - 16 = 8*x. Let v be 0*(-1 - 0) + x. Determine s(v).
5
Suppose 4*y + 0 = 2*l - 2, -2*y + 11 = -5*l. Let q(u) = -5*u**2 - 4*u. Give q(l).
-33
Let u(h) = -2*h - 8. Suppose 2*a = 0, -a + 2 = -t + 4. Suppose 5*k - 8 = -2*v, t*k = -k + 3*v + 9. Suppose -p - 2*l = 7 + 5, -18 = 2*p + k*l. Determine u(p).
4
Let t(p) = -4*p - 5. Let u(r) = r**2 - 65*r + 811. Let x be u(48). What is t(x)?
15
Suppose -q + 2 = -0. Let o(m) = -3*m**3 - m**3 - 2*m**q + 3*m**3 + 1 + 3*m - 4. Let r = 380 - 383. Determine o(r).
-3
Let i(v) = -21*v - 2 - 3 + 4. Suppose -563*m = -3*d - 567*m + 5, 2*d - m + 4 = 0. Give i(d).
20
Let y(b) be the third derivative of b**5/60 - b**4/12 - b**3/6 + b**2. Let n be y(2). Let s(a) = 4189*a - 4191*a - 4*a**2 + 4*a**3 - 1 + 2*a**2. Determine s(n).
-5
Let s(m) = -12*m + 1. Let w(b) = b. Let n(c) = 2*s(c) + 22*w(c). Let d(p) = p. Let z(o) = -3*d(o) - n(o). Let f be (-3)/1 - (-2 + -3). Calculate z(f).
-4
Let s(w) = -5. Let f(t) = -2. Let r(b) = 7*f(b) - 3*s(b). Let u(p) = p - 8. Let i(x) = -4*r(x) - u(x). Give i(0).
4
Suppose 4*l = -0*l - 32. Let a(z) = -9 - 4*z - 2*z**3 - z**2 - 10*z - 14*z + 26*z. Let x(g) = -g**3 - g**2 - g - 6. Let y(k) = l*x(k) + 5*a(k). Calculate y(2).
-5
Let c(v) = -2 + 2 + 129*v - 127*v + 4. Give c(-10).
-16
Let u(x) be the second derivative of -x**5/20 + 5*x**4/12 + x**3/6 - 7*x**2/2 - 12*x + 9. What is u(6)?
-37
Let j(r) = r**3 - 2*r**2 + 4*r - 2. Let n = 26 + -22. Suppose 7*u - 30 = 2*u. Suppose -n*p + u = -2. Determine j(p).
6
Let o = 86 + -82. Suppose o*z = -5*s - 8, 5*s - 3*z - 2*z + 35 = 0. Let i(w) = -w**2 - 5*w - 5. What is i(s)?
-1
Let y(m) be the second derivative of 9*m + 13/2*m**2 - 1/6*m**3 + 0. What is y(6)?
7
Let a(y) = 2*y**2 - 37*y + 17. Let d(v) = -v**2 + 17*v - 7. Let f(m) = 4*a(m) + 9*d(m). Suppose -11 = -3*j - 4*c, -2*j - 4*c = -6*j + 24. Give f(j).
5
Suppose -5*g = -22 + 2. Let f be -3*(g + -3 + -2). Let a(l) be the first derivative of -l**4/4 + 4*l**3/3 + l**2 + l + 2. Give a(f).
16
Suppose -28*b + 248 = -59*b. Let w(p) = -p**2 - 6*p + 7. Determine w(b).
-9
Let s(p) = 3*p + 1. Let q = -10 - -13. Suppose 0 = -3*t - 2*i + 11, -t + 8 = q*t - 4*i. Determine s(t).
10
Let r(v) = -v**2 + 11*v - 24. Let m = -991 - -998. What is r(m)?
4
Let w(n) = -2*n + 3. Let d be ((-20)/5 + -3)/(-1). Let h(g) = g + 9. Let p be h(-4). Suppose -d = -4*x + p. What is w(x)?
-3
Let z(l) = -8*l + 9. Let n(f) = 33*f - 42. Let r(g) = 2*n(g) + 9*z(g). What is r(0)?
-3
Let q be -2 + (2 - 0) - -1. Let v(a) = 4*a - 1. Let w be 1/6 + -33*4/(-72). Let u(t) = -t - 1. Let r(f) = w*u(f) - v(f). What is r(q)?
-7
Let r(t) = -t**3 + 2*t**2 + 9*t**2 + t - 2*t - 6*t**2. Give r(2).
10
Let s(r) be the first derivative of -r**4/4 - 2*r**3 + r**2/2 + 5*r - 129. Calculate s(-4).
-31
Let g(j) = 3*j - 32. Let z(s) = 2*s**2 + 25*s - 5. Let v be z(-13). Calculate g(v).
-8
Let j be 24/4 - 3 - -11. Suppose -4*t - o = -0*o - 9, j = 5*t + 4*o. Let z(p) = 2*p + 3*p - 2*p. Give z(t).
6
Suppose 105 + 165 = -9*r. Let f be 3/(-3*(-5)/r). Let q(c) = -c**3 - 8*c**2 - 9*c - 1. Give q(f).
-19
Let l(y) be the third derivative of y**4/24 + 5*y**3/6 - 6*y**2. Let t = 55 + -59. Give l(t).
1
Let o(y) be the second derivative of y**7/840 + y**5/120 + y**4/12 - 4*y**3/3 + 11*y. Let g(b) be the second derivative of o(b). Determine g(2).
12
Suppose -5*n + 2*n + 5*j - 1 = 0, 4*j = -3*n - 37. Let d(g) = g + 4. Give d(n).
-3
Let l be -4 + (-15)/(1 - 4). Let q(s) = -21*s**2 - 1. Give q(l).
-22
Let l(b) = -39 + 19 - 34 - b + 42. Let n = 0 + -5. What is l(n)?
-7
Let t be 4*(30/(-4) + 7). Let p(a) = a**2 + 4*a + 4. Give p(t).
0
Let h(o) = 2*o**2 + 19*o - 28. Let m be h(-11). Let t(n) = n**3 - 6*n**2 + 7*n - 2. Calculate t(m).
8
Let x(p) = -p**3 - 5*p**2 - 4*p - 4. Let i = -1 + 11. Let l be ((-3)/(-5))/((-2)/i). Determine x(l).
-10
Let h be 4/(-6) - (-336)/18. Let q = 20 - h. Let w(l) = l**2 - 3*l. Give w(q).
-2
Let t(w) = w**3 + 24*w**2 - 53*w - 22. Let k be t(-26). Let m(c) be the third derivative of c**5/60 - 5*c**4/24 - c**3/2 + 3*c**2. Give m(k).
-7
Let i(o) = 2*o**2 - o - 11. Let g(b) = 4*b**2 - b - 20. Let l(h) = 4*g(h) - 7*i(h). Determine l(2).
11
Let g(a) = -2*a - 4. Let w(u) = -u**2 + 12*u + 3. Let c be w(12). Suppose 4 = 2*n - 2. Suppose n*q + c = -6. What is g(q)?
2
Let l = -26 - -73. Suppose 1 = -8*v - l. Let n(y) = -y - 5. Determine n(v).
1
Let k be (-6)/(-21)*(-7)/(-4)*0. Suppose y + 5*f + 30 = 0, k = -y + 4*f - 0 + 15. Let x(a) = a**3 + 4*a**2 - 3*a + 4. What is x(y)?
-6
Let d(q) = 4*q - 15. Let h be d(7). Suppose 4*z = g + h, -z - 2*z = -3*g - 12. Let x(b) = -b - 4 - b**2 + z + b. Determine x(-2).
-5
Let w(o) = o**2 + 4*o - 12. Let a be w(-6). Suppose 5*v + a*v - 10 = 0. Suppose -v*j + 3*h + 24 = 0, 2 = j + h - 0. Let b(k) = -k**2 + 7*k + 8. Give b(j).
14
Let s(z) = 3 + 6*z - 13*z + z**2 - 5 + 6. Determine s(7).
4
Let x be 2 - (2/(-6))/((-3)/(-117)). Suppose -6*w = -x*w - 18. Let q(a) = -4*a. Give q(w).
8
Let c(a) = 11*a + 3 + 6242*a**3 - 3*a**2 - 6243*a**3 + 10*a. Calculate c(-6).
-15
Let d(t) be the first derivative of t**4/12 + 2*t**3/3 - t**2/2 + 3*t + 12. Let o(n) be the first derivative of d(n). Calculate o(-3).
-4
Let n(l) be the third derivative of -l**6/60 - l**5/60 - l**3/2 - 33*l**2. Determine n(-2).
9
Let u be (3 + -4)/(9/45). Let v(t) = -7*t - 32. What is v(u)?
3
Let p(a) = -4*a - 16. Let h(d) = -8*d - 27. Let j(k) = 3*h(k) - 5*p(k). Determine j(-4).
15
Suppose 2*c = h + 12, -3*h + c = 6*c + 80. Let k = h + 22. Let o(y) = 2 - 7*y + 2*y**3 + 4*y**3 + y**3 - 5*y**k - 6*y**3. What is o(6)?
-4
Let z(g) = 17*g - 17. Let i(p) = 13*p - 17. Let q(v) = -5*i(v) + 4*z(v). Give q(-6).
-1
Let s(u) = u**3 + 5*u**2 + 3*u. Let y be -3 + (30/(-27) - (-4)/36). Give s(y).
4
Let r be (-4)/8*-26 - 8. Let v(l) be the second derivative of l**5/20 - 5*l**4/12 + l**3/2 - 5*l**2/2 + l. What is v(r)?
10
Suppose 43 - 13 = -5*h. Let n = -56 + 63. Let y(p) = -2*p + 0*p + 4*p - 6*p**2 + 0*p + n - p**3. Calculate y(h).
-5
Let j = -128 - -123. Let g(y) = -y**2 - 7*y + 3. What is g(j)?
13
Let m = 1145 - 1153. Let r(o) = 2*o**2 + 10*o - 2. Determine r(m).
46
Let i(m) = -24*m + 3. Let u(s) = 11*s - 2. Let c(a) = 6*i(a) + 13*u(a). What is c(-4)?
-4
Suppose 2*m + 0 = -4*v + 26, -m + 2*v - 3 = 0. Let g(y) = -268 + 136 - m*y + 132. What is g(1)?
-5
Let k(d) = 4*d**3 + d**2 - 5*d + 1. Let h(c) = 3*c**3 + 2*c**2 - 5*c + 1. Let j(x) = -5*h(x) + 4*k(x). Suppose -429*r = -432*r + 15. Calculate j(r).
-1
Let y = -35 - -11. Let f be 2 + 0 + 1 + y. Let n be (-70)/f*3/(-2). Let i(r) = 2*r - 6. Calculate i(n).
-16
Let o(q) = q**3 - q**2 + q - 1. Let d(b) = b**2 - b + 1. Suppose -4*w + 3 = -1. Let m(l) = w*o(l) - d(l). Calculate m(3).
13
Suppose -9 = -5*n + 2*v + 9, 4*n + 5*v + 12 = 0. Let o(g) = 10*g - 2. What is o(n)?
18
Let q(y) = -y**2 + 6*y - 2. Let c(o) = o**2 - 7*o + 2. Let f(l) = -2*c(l) - 3*q(l). Let j(z) = 2*z - 3. Let t be j(3). Give f(t).
-1
Let m(s) = -s. Suppose -3*q - 3*a - 7 = 5, -a = -q. Let t be m(q). Suppose -21 = -t*d - d. Let o(z) = -z + 2. What is o(d)?
-5
Let u be (-9)/7 - 4/(-14). Let j(x) be the first derivative of -x**2 - 4 + 2*x + 4*x - 5*x - 7. Give j(u).
3
Let v(c) = -4*c - 2 - c**3 + 0*c
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let s = 0 + j. Put s, -0.1, d in descending order.
-0.1, s, d
Let d(r) = -2*r**2 + r - 9. Let z be d(0). Let n(m) = m**2 + 9*m - 1. Let p be n(z). Put p, 3, -4, 2 in ascending order.
-4, p, 2, 3
Let g = -18 - -22. Let q = 15 - g. Let s(f) = f**2 + 7*f + 4. Let m be s(-7). Put q, m, -2 in decreasing order.
q, m, -2
Let m be 60/8*((-136)/(-24) - 5). Let r(l) = 6*l + l**2 - 4 + 7 - 2. Let d be r(-5). Sort m, 0, d in increasing order.
d, 0, m
Let o = -20.7 - -52.7. Put -4, 5, o, -5 in increasing order.
-5, -4, 5, o
Suppose -4*l - 5 = -5*n, 2*n = -6*l + 8*l + 2. Suppose -2 = -k - l. Let r = 1 - -2. Put 4, r, k in decreasing order.
4, r, k
Let d = 91/3 + -30. Put 5, -1/4, d, 1/2 in decreasing order.
5, 1/2, d, -1/4
Let y(b) = b**2 - 3*b + 2. Let f(n) = -2*n + 31. Let i be f(13). Let r be y(i). Sort -4, r, 0 in decreasing order.
r, 0, -4
Suppose -3*t + 3*d - 6*d = 0, -2*t = -3*d - 20. Put 0, 3, t in increasing order.
0, 3, t
Let p be (-60)/(-12) + (-3 - 1). Sort p, -1, 5 in ascending order.
-1, p, 5
Let z = -2.04 - -8. Let w = -6 + z. Let c = 1.04 + w. Put -0.3, 9, c in ascending order.
-0.3, c, 9
Let t(b) = -b**3 - 7*b**2 + 3*b + 7. Let w(g) = -2*g**3 - 13*g**2 + 6*g + 13. Let x(q) = -11*t(q) + 6*w(q). Let h be x(-3). Sort 0, 0.5, h.
0, 0.5, h
Let m be (-6 + 0)/(2/4 - -1). Let r = 12 - 7. Sort r, 0.3, m.
m, 0.3, r
Let c be (-1)/15*13 - (-58)/290. Sort c, -21, 6.
-21, c, 6
Let b(v) = -8*v - 84. Let w be b(-11). Sort 0, -86, w, -5 in descending order.
w, 0, -5, -86
Let v(w) = 15*w - 2. Let o be v(0). Sort o, -4, 3, 2.
-4, o, 2, 3
Let i be 35/(-20) + (-3)/(-4). Let d be (-10 - -6) + (-4)/i. Sort 4, 3, 5, d in descending order.
5, 4, 3, d
Let a = 30 + -26. Suppose 5*z - 4*s - 31 = 0, -23 = -z - 3*z + 5*s. Let u = z - 9. Put a, -5, u in descending order.
a, u, -5
Let h(v) = 2*v + 3*v**2 - 3*v + 2*v**2. Let w be h(1). Put 5, w, -18 in descending order.
5, w, -18
Let d be -8 - (-28 - 9)/(-1). Sort d, -3, 2.
d, -3, 2
Suppose -3*l - 7 = n, -4 = -5*l + l - 4*n. Suppose -5*r - 1 = -4*u, 4*r - 1 = 4*u + 3. Let z = -4 - u. Put 1, z, l in ascending order.
l, 1, z
Let r(t) = -2*t + 10. Let p be r(7). Let m be 4 + (-5)/3 - (9 + 69/(-9)). Sort -3, m, -1, p in descending order.
m, -1, -3, p
Let q be (-5)/3 - 3381/(-2277). Put 5, -46, q in decreasing order.
5, q, -46
Let l = 2.7 - -0.4. Let m = l + -2.9. Put m, -0.3, 4/5 in ascending order.
-0.3, m, 4/5
Let h(i) = i**3 - 5*i**2 - 8*i + 14. Let v be h(6). Let r be 1/v - (-75)/30. Put 5, -5, r in decreasing order.
5, r, -5
Let q(a) = -5*a**3 - 20*a**2 - 16*a - 37. Let z be q(-3). Put -1, z, -5 in decreasing order.
-1, -5, z
Let m(v) = v**2 - 15*v - 122. Let c be m(-6). Put -159, 2, c in descending order.
c, 2, -159
Let g = 1244 + -1244.4. Let r = 1/66 + -35/132. Sort 0, g, -0.1, r.
g, r, -0.1, 0
Let h = -1.9669 + -0.0331. Put 3/4, -13.1, h in decreasing order.
3/4, h, -13.1
Suppose -2*u - 60 = 3*r, 2*r = 2*u - r + 72. Let l = u - -33. Sort -1, l, -3 in ascending order.
-3, -1, l
Suppose 13*v - 12*v - 3 = 0. Sort 16, 1, v.
1, v, 16
Let d = -55 + -4. Let o = 57 + d. Put 0, o, -5, -1 in decreasing order.
0, -1, o, -5
Let u = 6.17 - 1.93. Let k = 0.24 - u. Put 0.02, k, -2 in decreasing order.
0.02, -2, k
Let o be (24/180)/((-24)/(-30)). Put -0.8, o, -2 in decreasing order.
o, -0.8, -2
Let b = 26 + -35. Let p = -8 - b. Let y = p - 1.2. Sort y, -1/6, 1 in descending order.
1, -1/6, y
Let z = -1401 - -1400.5. Put 6, z, -4 in ascending order.
-4, z, 6
Let a = 13.3 - 22.6. Let d = a - 0.7. Let v = -7 - d. Put v, 2/15, -1 in decreasing order.
v, 2/15, -1
Let c(p) = 57*p - 455. Let r be c(8). Put -2, 9, r, -1 in decreasing order.
9, r, -1, -2
Let z(t) = -2*t + 5. Let a be (-4)/18 + (-10)/(-45). Let i be z(a). Let c be (2/(-4))/(2/(-12)). Sort c, i, 4 in descending order.
i, 4, c
Suppose r - 2*m - 1 = 0, -13 = -6*r + r + 2*m. Suppose q + 2 = 2*v - 0, 0 = r*v - 3*q - 3. Put -5, v, 5, 4 in ascending order.
-5, v, 4, 5
Let o(q) = 6*q + 29. Let k be o(-5). Sort 18, k, 1 in decreasing order.
18, 1, k
Let y = -203 + 204. Sort 2/9, -7, y in decreasing order.
y, 2/9, -7
Suppose -3*n + 0*r - 10 = -4*r, -4*r - 2 = 3*n. Let h(j) = -j**2 + 6*j + 31. Let q be h(9). Sort n, q, 0.
n, 0, q
Let j = -3 + 5. Let o = j + 4. Let d be (-1)/o*(-12 + 10). Sort d, -2/9, 2/3 in decreasing order.
2/3, d, -2/9
Suppose 0*y = -4*y + 24. Suppose 0 = a - 0*a - y. Put a, -2, -3 in ascending order.
-3, -2, a
Suppose 0 = -11*s + 14*s - 108. Let y be -6*(4/s)/((-1)/(-6)). Sort y, 0, -1 in increasing order.
y, -1, 0
Let b = 271/516 - 14/129. Let a = 1/4 - b. Suppose 0*n - 5*n = -35. Put n, 4, a in decreasing order.
n, 4, a
Suppose 10*u + 27 = u. Let i(b) = b**3 + 12*b**2 + b + 8. Let c be i(-12). Suppose -6*y + y - 10 = 0. Put y, c, u in decreasing order.
y, u, c
Suppose 5*r + 3*k = 4*k - 15, 5*r + 15 = -3*k. Let t = 35 + -31. Sort -1, t, r.
r, -1, t
Suppose 442 = 8*w + 434. Suppose 52 = -6*l + 2*l. Sort w, l, 5 in ascending order.
l, w, 5
Let l = 1/16 + -37/80. Let j = -248 + 253.08. Let y = j + -0.08. Sort l, -2, y.
-2, l, y
Let k(s) = -s - 12. Let w be k(-9). Let i = -27 + 29. Put -4, i, 0, w in decreasing order.
i, 0, w, -4
Let a be (-48)/(-160)*5/9. Put a, -1/7, -2/11, 3 in ascending order.
-2/11, -1/7, a, 3
Let i = -146 + 1165/8. Sort 9/2, i, -4 in ascending order.
-4, i, 9/2
Let z = 236.9 - 237. Sort -5, z, -1/6, -2 in decreasing order.
z, -1/6, -2, -5
Suppose 2*u = -5*k + 13, -3*k = 2*u - 0*u - 11. Let f be (1 + -2)/(2/6). Let o be -6 - (-6 + -12) - 7. Sort o, k, f.
f, k, o
Let l = 65.23 + -8.23. Sort l, 0, 4/7 in increasing order.
0, 4/7, l
Let m = 2 + -2. Suppose s - 2 + 6 = m. Suppose -4*f - 3 - 7 = 2*a, 5*a = 2*f - 13. Sort 1, s, a in descending order.
1, a, s
Let w(p) = 2*p + 9. Let s be (-4)/18*-3 - (-84)/(-18). Let x be w(s). Sort x, 4, 0, -2.
-2, 0, x, 4
Let d be (27/6 - 5)*-1. Put 3, d, 0, -5 in decreasing order.
3, d, 0, -5
Suppose -4*k + 129*k + 375 = 0. Suppose -n - 3*i = 9, 3*i = -12 + 3. Suppose b + 4*o + 25 = n, -2*o = -3*b - 5 - 0. Sort 3, k, b in increasing order.
b, k, 3
Let b = -433 + 432. Put -7, 0, 5, b in increasing order.
-7, b, 0, 5
Let i = 3.1 + -3.6. Let w = -3.5 + i. Sort 1/5, 4, w in increasing order.
w, 1/5, 4
Let i be -11 + (8 - (-1184)/392). Put -3, -0.02, i in decreasing order.
i, -0.02, -3
Let z = -387 + 2711/7. Sort -1/7, 4, z in ascending order.
-1/7, z, 4
Let r = 0.32 + 15.68. Let y = r - 16.03. Let g = y + 0.03. Put 7, g, -0.4 in descending order.
7, g, -0.4
Let s be -1*4/8*-2. Let i = s - 3. Put 5, 3, i in descending order.
5, 3, i
Let g be ((-10)/(-8))/(89 - 84). Suppose -2*y + y - 2*s - 3 = 0, 0 = -4*y + 2*s + 8. Let j be (-4)/8 + y/(-4). Sort j, 7, g in increasing order.
j, g, 7
Let c(g) = g**3 + 12*g**2 + 19*g - 10. Let t be c(-10). Sort -5, t, 10 in increasing order.
-5, t, 10
Suppose -6 = 3*w - 12. Let b = -0.04 - -0.44. Sort 3/10, w, b.
3/10, b, w
Let h be -1 + 9/54 + 25/(-6). Put 0, -4, h, 1 in increasing order.
h, -4, 0, 1
Let j be (28/(-16))/((-2)/120). Let l be j/(-200) + 2/16. Let x(n) = 2*n - 9. Let q be x(7). Put q, l, -0.1 in increasing order.
l, -0.1, q
Suppose -84 = 2*o - 92. Sort o, 9, 5, 1 in increasing order.
1, o, 5, 9
Suppose 0 = -3*o - 3*c - 9, -2*c = -11*o + 8*o + 11. Suppose -2*t = 7 - 1. Put t, o, 3 in descending order.
3, o, t
Let t = -17 - -19. Suppose -2*n = 2*x + x - 10, 0 = x + t*n - 10. Suppose 4*q + q - 10 = x. Sort 4/3, -3/2, q in decreasing order.
q, 4/3, -3/2
Suppose 17 = -2*d - 171. Let c be d/(-10) + 4/(-10). Let k = c + -6. Sort -2, 5, k in descending order.
5, k, -2
Suppose 5*j - 3*j - 26 = -4*v, 5*j = -v + 29. Let o(n) = 4*n - 5. Let f be o(1). Sort 5, f, v.
f, v, 5
Suppose -4*b = 3*h + 49, -3*h + 31 = -4*b - 0*b. Let x be (-8)/3*15/b. Suppose -24 = -4*d - x. Sort d, 2, -3 in descending order.
d, 2, -3
Suppose 3*d + 0 - 6 = 0. Suppose d*b = 5 - 11. Let x = -100 + 95. Sort 5, b, x in decreasing order.
5, b, x
Let n be -4 - (-16)/(5 + -5 + 2). Put 0, -1, -5, n in increasing order.
-5, -1, 0, n
Let y = -2.826 - -4.826. Let n = -4 + -1. Put -1.2, -4, y, n in decreasing order.
y, -1.2, -4, n
Suppose 0 = 4*f - 3*f - 3. Suppose -2*t = -3*j + 32, 0 = 7*j - 2*j - 4*t - 50. Sort -4, f, j, -5 in increasing order.
-5, -4, f, j
Let a(u) = -4*u - 27. Let b be a(-5). Let w = 2 - 5. Sort b,
|
{
"pile_set_name": "DM Mathematics"
}
|
-40)/12*(-12)/10. What is the remainder when 41 is divided by ((-14)/s)/((-5)/30)?
20
Let i(s) be the first derivative of 1/4*s**4 - s**2 + 2 - 2/3*s**3 - 3*s. What is the remainder when i(4) is divided by 12?
9
Suppose -p + 3 = 6. Let v(q) = -q**3 - 2*q**2 + q - 1. Let o be v(p). Let f = o + 57. Calculate the remainder when f is divided by 16.
14
Let o(c) = -5*c - 4. Let v be 12/(-54) - 25/9. Let u(p) = 3*p**2 - 3*p - 4. Calculate the remainder when u(v) is divided by o(-3).
10
Let q = 7 + -4. Suppose q*s - 6*s = -6. Let x = s - -1. What is the remainder when 7 is divided by x?
1
Suppose -d = q + 28, 6*d = 2*q + d + 21. Let c(p) = -p**2 - 6*p - 1. Let r be c(5). Let b = q - r. Calculate the remainder when b is divided by 9.
6
Suppose 4*y = -2*v + 62, -4*y - 204 + 32 = -4*v. What is the remainder when v is divided by 2*((-18)/(-2) - 2)?
11
Let x(q) = 2*q - 7. Let c be x(5). Suppose 8 = 2*f, 0*f = -4*w - c*f + 140. Calculate the remainder when w is divided by 11.
10
Suppose -6*o = -o. Suppose 2*p - 17 = -m, o = 3*m - 6*m - 3*p + 57. What is the remainder when 60 is divided by m?
18
Let l = 69 + -45. Calculate the remainder when l is divided by 13.
11
Let q = -36 - -61. Calculate the remainder when q is divided by 13.
12
Let s = -66 - -111. Suppose p = -2*p + s. Suppose -2*k = -10, -2*y = -y - k - 23. What is the remainder when y is divided by p?
13
Let o = 21 + -13. Let q(n) = n**2 - n + 5. Calculate the remainder when o is divided by q(0).
3
Let p = -246 - -271. Let f = 0 - 1. Calculate the remainder when p is divided by f + 3*(-20)/(-6).
7
Calculate the remainder when (93/9)/(4*4/48) is divided by 16.
15
Let r = -6 + 19. What is the remainder when 24 is divided by r?
11
Let s = -16 + 18. Suppose o = -4*w + 26, -3*o = -w - 2*w - 3. Calculate the remainder when o is divided by s.
0
Let b = 11 - 9. Let o = 9 - b. Let l = 13 + 7. Calculate the remainder when l is divided by o.
6
Let j be 2 - (2 - (0 - -2)). Suppose j*f = 0, 5*f = -2*p + 82 - 12. What is the remainder when p is divided by 18?
17
Suppose 43 = 5*j + 8. Let y = 13 - 9. Calculate the remainder when j is divided by y.
3
Let z(j) = j**2 + 8*j + 10. Calculate the remainder when 56 is divided by z(-9).
18
Let w = -4 + 39. Suppose -2*z + z = -12. What is the remainder when w is divided by z?
11
Let j be (-6)/(-5)*40/6. Suppose 70 = j*h - h. Calculate the remainder when h is divided by 7.
3
Let n = 34 - 17. Let j be 9*3*(3 - 2). What is the remainder when n is divided by j/2*(-4)/(-6)?
8
Suppose -3*x + 0*z = -5*z - 24, -3*x - 5*z = -24. Calculate the remainder when -31*(-1 - (3 + -3))/1 is divided by x.
7
Let z = -70 + 76. Calculate the remainder when 33 is divided by z.
3
Let l = 19 - -145. What is the remainder when l is divided by 33?
32
Let t = 13 + -3. Suppose 2*d + 2 + 0 = 0. Calculate the remainder when d/(-5) - 376/(-20) is divided by t.
9
Let m be (6/(-4))/(15/(-40)). Suppose 2*v - m*v = -8. What is the remainder when 11 is divided by v?
3
Let t = 1 - -4. Suppose -2*l - t*m = 9, -5*l + m = 4*m - 6. Calculate the remainder when 11 is divided by l.
2
Suppose -4*i = -3*o - 5*i + 12, 5*o - 20 = 2*i. Calculate the remainder when 9 is divided by o.
1
Let d = 27 + -8. What is the remainder when d is divided by 10?
9
Suppose -1 = -5*d + 29. What is the remainder when d is divided by 2?
0
Calculate the remainder when 550/33 - (-4)/(-6) is divided by 10.
6
Suppose -162 = -5*l + 3*h, -5*h + 50 = 3*l - 54. Suppose -3*d - 10 = -64. What is the remainder when l is divided by d?
15
Suppose -4*f - 8 = -72. Suppose -5*l - 5*i - 19 = -4*l, l + 13 = -3*i. Let g(u) = -9*u - 6. What is the remainder when g(l) is divided by f?
14
Let z(h) = 0 + 5 - h + 3. Let l be z(6). Suppose 4 = l*q - 6. What is the remainder when 8 is divided by q?
3
Suppose -4*k - 2*b = -6, 6 = -2*k + 3*b - 3. Let i(c) = 3 + 7*c + 7*c**2 + 0 + c**3 + k*c. Calculate the remainder when 34 is divided by i(-5).
16
Let f(k) = k**3 + 4*k**2 + 3*k + 6. Let b be 1/((-2)/4) + -1. Calculate the remainder when 10 is divided by f(b).
4
Let t(l) = l**3 - 2*l**2 - 4*l + 3. Let d be t(3). Suppose -3*p + d*p + 114 = 3*a, -3*p = 4*a - 148. Calculate the remainder when a is divided by 18.
16
Let s(x) = -1. Let v(i) = i - 4. Let k(p) = -5*s(p) - v(p). Let g(y) = y - 4. Let m be g(4). What is the remainder when 26 is divided by k(m)?
8
Suppose -4*s + 5 = 3*f + 17, f + 4 = -3*s. Suppose m - 3 = -s*m. What is the remainder when 8 is divided by m?
2
Let j(o) = o**3 + 5*o**2 + 4*o + 3. Let u be j(-3). Suppose 4*s - u*s + 140 = 0. What is the remainder when s is divided by 15?
13
Suppose -6*k = -9*k + 96. Suppose 3*f + 3*x - 63 = 0, -4*f + 26 = -2*f - 2*x. Calculate the remainder when k is divided by f.
15
Let d = 5 - 4. Suppose -2*s - d = -7. Calculate the remainder when 5 is divided by s.
2
Let v = -37 - -43. Calculate the remainder when 20 is divided by v.
2
Let y = -8 + 12. Suppose -3*j + 169 = 2*c, -y*c - c = 20. What is the remainder when j is divided by 30?
29
Let q be 2*3/(3 + 0). Let s(g) = 1 - 6*g + 3*g**q + 0 - 5. Calculate the remainder when s(5) is divided by 14.
13
Suppose 7*d + 5*o = 4*d + 205, 4*d + 2*o = 292. Let q = 97 + d. Suppose y - 5*y = 4*f - q, 4*f - 137 = 3*y. What is the remainder when f is divided by 13?
12
Let y(o) = -o + 34. What is the remainder when 55 is divided by y(6)?
27
Suppose 2*h = -8*h + 70. Let d be (14 - 4)*2/4. Suppose d*f - f = 44. What is the remainder when f is divided by h?
4
Let b(u) be the first derivative of u**3 - 5*u**2/2 - 7*u - 4. What is the remainder when b(5) is divided by 15?
13
Suppose 6*s - 24 - 12 = 0. What is the remainder when 9 is divided by s?
3
Suppose 4*q + 620 = 5*m, 6*m = m - 5*q + 665. What is the remainder when m is divided by 13?
11
Suppose 3*a - 132 = -a. Let z(y) = -y**2 + y + 9. What is the remainder when a is divided by z(0)?
6
Let t(f) = f**3 - 12*f**2 - 10*f - 12. What is the remainder when t(13) is divided by 14?
13
Let r = 64 + -57. What is the remainder when 76 is divided by r?
6
Let u be (-296)/(-12)*1*3. Let j = -51 + u. Calculate the remainder when j is divided by 12.
11
Let i(c) = -c - 6. Let k(z) = 4*z + 2. Let u be k(-2). Let q be i(u). Calculate the remainder when 25 is divided by (-1)/(q + (-3)/39).
12
Let j(w) = -107*w - 1. Let c be j(-1). Let x be (-4)/(-6) + 2/6. Calculate the remainder when 35 is divided by c/6 + x/3.
17
Let l(i) = -i**2. Let m(a) = 4*a**2 - 5*a + 1. Let p(n) = -3*l(n) - m(n). Calculate the remainder when p(3) is divided by 3.
2
Let b(i) = 2*i**3 + i**2 - 2*i + 1. Let v be b(1). Suppose v*h = -2*h + 4. Calculate the remainder when 50 is divided by (-52)/(-1)*h/2.
24
Let z be 2/((-248)/122 + 2). Let q = 95 + z. Calculate the remainder when q is divided by (-2 - -4)/((-1)/(-6)).
10
Suppose -23 = -5*f - 8. Suppose -2*s = 3*q - 70, 0 = 2*s - f*s + 5. Suppose -w + 33 = 2*w. What is the remainder when q is divided by w?
9
Let r = -48 - -68. Calculate the remainder when 77 is divided by r.
17
Let g = 3 + -1. Suppose 0 = l + 5*o + 8, o = g*o + 3. What is the remainder when 12 is divided by l?
5
Suppose 3*l - 88 = 2. What is the remainder when 117 is divided by l?
27
Let k(z) = 3*z**2 + 33*z + 27. Let r(f) = f**2 + 11*f + 9. Let p(b) = -6*k(b) + 17*r(b). Calculate the remainder when p(-4) is divided by 10.
9
Suppose -v = -2*p + 3*p - 66, 3*v - 3*p = 228. Let r = v + -43. What is the remainder when r is divided by 10?
8
Suppose -f = f + 10. Let j(o) = o + 8. Let h be j(f). Suppose -2 + 3 = d + h*r, 3*d - 3 = -r. What is the remainder when d is divided by 1?
0
Suppose 4 + 4 = -4*g. What is the remainder when 16 is divided by g/((-22)/18 - -1)?
7
Suppose -4*u - 3*j - 23 = 0, -u = -0*u + 4*j + 22. What is the remainder when 29 is divided by 10/(u/(-3)*1)?
14
Suppose 0 = -i + 4*k + 15, 2*k - 42 = -4*i - 0*k. What is the remainder when 54 is divided by i?
10
Suppose 2*f - 3*f - 7 = 0. Let h(a) be the first derivative of -3*a**2/2 + 7*a + 1. What is the remainder when h(f) is divided by 10?
8
Let n be ((1 - -3)*3)/2. Suppose n*l = l + 85. Calculate the remainder when 48 is divided by l.
14
Suppose -3*w - 24 = -4*b - 2*w, -2*b = 2*w - 22. Suppose 33 = 2*s - 19. Calculate the remainder when s is divided by b.
5
Let y(b) = 4*b**2 + 50*b - 9. What is the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
-4/13)
Simplify ((u*(u**(-7)*u)/u)/(u/(u/(u/((u**(5/6)*u)/u)))))**14 assuming u is positive.
u**(-259/3)
Simplify ((v**(-1))**(6/17))**28 assuming v is positive.
v**(-168/17)
Simplify (m**(-1/18)/m)/((m/(m*m**(1/13)))/m)*(m/m**8)/m**(-2/25) assuming m is positive.
m**(-40357/5850)
Simplify (q*q**(-2/3)*q*q)**(2/7)/(q**(-3)/q**(-2/17)) assuming q is positive.
q**(181/51)
Simplify (m/(m*m**(-3)))/(m**(12/11)/m) assuming m is positive.
m**(32/11)
Simplify (l**0*l*l)**(17/3)/(l*(l**(-2)*l)/l*l/l**(-5)*l) assuming l is positive.
l**(16/3)
Simplify l/(l**(7/6)/l)*(l*l*l**(1/27)/l)/l assuming l is positive.
l**(47/54)
Simplify (q/q**0*q)**(-43)/(q/(q/(q**(-2)*q)))**29 assuming q is positive.
q**(-57)
Simplify w**(-3)/(w**4*w) assuming w is positive.
w**(-8)
Simplify (j/j**17)/j**(-2) assuming j is positive.
j**(-14)
Simplify f**(2/13)*(f*f**(-1/2))/f*(f**3)**(-4/7) assuming f is positive.
f**(-375/182)
Simplify (w/w**29)/(w/(w/(w/w**23*w))) assuming w is positive.
w**(-7)
Simplify (z/((z*z*z*z**5/z*z*z*z*z*z*z)/z)*z/(z/(z/((z/z**(1/9))/z))))/(z/(z/z**1))**(-28) assuming z is positive.
z**(163/9)
Simplify n**1*n**(-4)/n*((n*n**0)/n*n)**(-2/25) assuming n is positive.
n**(-102/25)
Simplify (y**14/(((y*y**(10/3))/y)/y))**17 assuming y is positive.
y**(595/3)
Simplify c**(-3/7)*c**(-6/7) assuming c is positive.
c**(-9/7)
Simplify (y**6/y**(-1/5))/(y**(1/2))**(-30) assuming y is positive.
y**(106/5)
Simplify (c/c**(-2/5))**(1/2)/(c/(c**(2/7)/c))**(-27) assuming c is positive.
c**(3289/70)
Simplify (o*o**24)/o*o/o**(1/14) assuming o is positive.
o**(349/14)
Simplify ((g*g/(g*g**(-3)*g))/(g/(g**(-5)/g)))**(13/8) assuming g is positive.
g**(-13/2)
Simplify b*b*b**(2/7)*b**(4/9)*(b*b**(-10))/(b**(9/4)*b) assuming b is positive.
b**(-2399/252)
Simplify ((q**(-10)/q)/q)/(q/q**22) assuming q is positive.
q**9
Simplify ((w**9/w)/w)**(2/141) assuming w is positive.
w**(14/141)
Simplify (c**11*c*c/(c**(-5/3)/c)*c)/((c*c*(c/(((c**1/c)/c)/c))/c*c*c*c)/c*c**(1/5)) assuming c is positive.
c**(157/15)
Simplify n*n**5*n*n**(6/7) assuming n is positive.
n**(55/7)
Simplify (q*q**(-1))**34/(q**(-6)*q**(-2/9)) assuming q is positive.
q**(56/9)
Simplify ((m*m**(-11)*m)/m*m*m)**(1/12) assuming m is positive.
m**(-2/3)
Simplify (y**(-3))**(1/32) assuming y is positive.
y**(-3/32)
Simplify (q/(q/(q**1/q)))**(1/15)/(q/(q**5*q*q)*q/(q*q*q/(q*q**(-7/4)*q*q))) assuming q is positive.
q**(27/4)
Simplify (d**(3/7)/d)/d**(6/5) assuming d is positive.
d**(-62/35)
Simplify (z**(31/2)/z)/(z**33/z*z) assuming z is positive.
z**(-37/2)
Simplify ((y*y**(-2/7)/y*y)**8)**3 assuming y is positive.
y**(120/7)
Simplify l**(-4/13)*(l/(l*(l**8*l)/l))/l assuming l is positive.
l**(-121/13)
Simplify (((j/(j/((((j*j**13/j)/j)/j)/j)))/j)/j**(2/23))**18 assuming j is positive.
j**(3690/23)
Simplify g**(3/8)/(g**(-1/11)/g) assuming g is positive.
g**(129/88)
Simplify ((q/((q/(q/q**(-3/7)))/q*q))/(q/((q*(q/((q*q/(q/(q*q*q**4*q*q*q*q)))/q))/q)/q)))/(q**(2/3)*q/(q**(-5)*q)) assuming q is positive.
q**(-320/21)
Simplify ((f**(2/17)/f)/f*f**(-1))**(2/23) assuming f is positive.
f**(-98/391)
Simplify g**(-9)*g*g/(g**9*g)*g**(-4/9)/((g*g*(g**(-1/3)/g)/g)/g) assuming g is positive.
g**(-145/9)
Simplify (s**(3/5)/s*s*s**(-1/8))**(-46) assuming s is positive.
s**(-437/20)
Simplify (d**(-7))**(-12) assuming d is positive.
d**84
Simplify (l/l**(6/5))**(-15/2) assuming l is positive.
l**(3/2)
Simplify (p**(-15)*p*p/(p/p**(6/7)))**(2/31) assuming p is positive.
p**(-184/217)
Simplify (h**1)**(14/3) assuming h is positive.
h**(14/3)
Simplify (h*h**0*h*h)**(-2/25)*(h*h**(-3/4))/h**(-3) assuming h is positive.
h**(301/100)
Simplify (((o**(-1)/o)/o)**(8/7))**(-31) assuming o is positive.
o**(744/7)
Simplify (o**0*o*o)**(-45)/((o*o**(-6/13))/(o/(o*o**(4/13)*o)*o*o)) assuming o is positive.
o**(-1168/13)
Simplify (o/(((o**(-16)*o)/o)/o))/o*o*o*(o*o/(o/(o**(-4/17)*o))*o*o)/o assuming o is positive.
o**(370/17)
Simplify (b**(3/5)*b**9)/(b/(b**(2/3)/b)*b/b**(-4/9)) assuming b is positive.
b**(307/45)
Simplify x**(-11)*x*x**(-17) assuming x is positive.
x**(-27)
Simplify z/(z*(z**1/z)/z*z*z)*z**(-2)*((z/((z**6*z)/z))/z)/((z/z**(-2/17))/z) assuming z is positive.
z**(-155/17)
Simplify ((y**4*y)/y**(-3))**(3/7) assuming y is positive.
y**(24/7)
Simplify ((i*i**8)/((i*i**5*i)/i))/(i*(i/(i/(i**5*i)))/i*i**(3/2)/i) assuming i is positive.
i**(-7/2)
Simplify i**(-6/7)*i**2*(i*(i/i**3)/i)/(i/((i**6/i)/i*i*i)) assuming i is positive.
i**(29/7)
Simplify ((((n**(-2)/n)/n)/n*n)**(-4/9))**(1/34) assuming n is positive.
n**(8/153)
Simplify (c**(-7)/(c/((c*c/(c**(-2/19)*c*c))/c)))/((c*c**(-2))/(c**(-5/3)*c)) assuming c is positive.
c**(-488/57)
Simplify (q**14)**6 assuming q is positive.
q**84
Simplify (u**0)**(-34)/(u/u**(-2/7)*u)**(1/40) assuming u is positive.
u**(-2/35)
Simplify (i/i**0)**(30/11)/((i/i**4)/(i/i**(-5))) assuming i is positive.
i**(129/11)
Simplify (t**(-11)/t)/(t*(((t*t**20*t)/t)/t)/t) assuming t is positive.
t**(-32)
Simplify (s**(-8)/s*s)**(8/11) assuming s is positive.
s**(-64/11)
Simplify ((q/(((q/q**(-7))/q)/q*q))/q*q*(q**(2/7)*q)/q)/(q/(q**(-1/11)/q)*q/q**(-3/7)) assuming q is positive.
q**(-711/77)
Simplify (f**(-1))**(2/5)*(f*f**(1/3)/f)**45 assuming f is positive.
f**(73/5)
Simplify n**(-11)/n*n/(n/n**(-31))*n assuming n is positive.
n**(-42)
Simplify (h**(-1)*h)**(-25/2)*(h**1*h)**(-28/5) assuming h is positive.
h**(-56/5)
Simplify (y**(-3/2))**(-25)*y*y**(2/15)*((y*y**(-6))/y)/y assuming y is positive.
y**(949/30)
Simplify ((z**(-1/5)/z)/((z/(z**(-11)*z))/z))**7 assuming z is positive.
z**(-392/5)
Simplify ((q*q**0)**(-25/2))**(1/21) assuming q is positive.
q**(-25/42)
Simplify (t/(t*t**0))**0*(t**(-2/7))**(9/11) assuming t is positive.
t**(-18/77)
Simplify ((i/i**(-2)*i)/i*i)**14*(i*i**(-1)*i)**(-10/3) assuming i is positive.
i**(158/3)
Simplify ((m*m*(m*m**(-6))/m*m)/m)**(-44) assuming m is positive.
m**176
Simplify ((f/(f**(-3)/f))/f*f*f/(f/f**(1/2)))/(f**4/(((f/(f/f**(1/14)))/f)/f)) assuming f is positive.
f**(-3/7)
Simplify y*y/(y**(1/8)/y)*(y/y**(1/5))/y*y/(y*y**(7/2)*y)*y*y**(-4) assuming y is positive.
y**(-193/40)
Simplify (d/(d*d/d**(-2)))/(d/(d**(2/5)/d))*(d*(d**0*d)/d)**(-4/5) assuming d is positive.
d**(-27/5)
Simplify (a*a**(-7/5))/a*a**(-24)/a*a*a assuming a is positive.
a**(-122/5)
Simplify (f**4*f*f/(f/f**1))/((f/f**(-1/5))/f*(f**(2/19)*f*f)/f*f) assuming f is positive.
f**(351/95)
Simplify (k**(-7/3)*k*k**(-3))**(-7/12) assuming k is positive.
k**(91/36)
Simplify (u**(-1)/u**(-5))**37 assuming u is positive.
u**148
Simplify t**20/t**(2/13) assuming t is positive.
t**(258/13)
Simplify (((l*l/(l/(l**(4/5)/l)))/l)**(-25/6))**(-14/5) assuming l is positive.
l**(-7/3)
Simplify v**11/(v**(-2/5)/v)*v**(1/4)*v*v*((v*v*v/v**(3/2))/v*v)/v assuming v is positive.
v**(303/20)
Simplify (p*p**10)/p*p**(-3/17)/p assuming p is positive.
p**(150/17)
Simplify ((i**(-2/13))**(-2/9))**(1/33) assuming i is positive.
i**(4/3861)
Simplify (q/(q**0/q))**(-40)*(q**1*q)/(q/q**4*q) assuming q is positive.
q**(-76)
Simplify j/j**16*j*j**9*j*j assuming j is positive.
j**(-3)
Simplify w/(w**(2/47)*w)*w**(3/5)*w assuming w is positive.
w**(366/235)
Simplify (o*o/(o*(o**(-6)/o)/o*o))/(o/(o**(-2/19)*o))*(o/o**(2/9))/o*o*o**5 assuming o is positive.
o**(2338/171)
Simplify ((q/(q*q**(-4/5)))/(q**(-2/11)*q))/(q**(2/7)*q/q**1) assuming q is positive.
q**(-117/385)
Simplify w**(-12/11)*w*w/w**17 assuming w is positive.
w**(-177/11)
Simplify ((q*q**1)/q)**6*q**(-2)*q*q**(-3/4) assuming q is positive.
q**(17/4)
Simplify (w**(-4/7))**(13/2) assuming w is positive.
w**(-26/7)
Simplify (r*r**(4/19))/r*r**(-35)/r assuming r is positive.
r**(-680/19)
Simplify (d*d*d*d/(d**(-5)/d*d)*d*d/(d/(d*d**(4/9)*d)))**(-27) assuming d is positive.
d**(-336)
Simplify (q**(-3/2)*q)/(q**(-18)*q) assuming q is positive.
q**(33/2)
Simplify (v/(v/(v**20*v))*v)**(-25/3) assuming v is positive.
v**(-550/3)
Simplify ((q/q**(1/2))**(-48))**(-42) assuming q is positive.
q**1008
Simplify ((r/(r/(r/(r**(8/7)/r*r*r))))/r)**(-25) assuming r is positive.
r**(375/7)
Simplify c**(-3/7)*c*c*c/((c*c**(-15)*c)/c) assuming c is positive.
c**(116/7)
Simplify (((m/m**2*m)/m)**(-8))**(-17) assuming m is positive.
m**(-136)
Simplify x/((x/x**(-2/9))/x)*x**1*x**(-2)*x*x*
|
{
"pile_set_name": "DM Mathematics"
}
|
24*z
Let r(c) = -c**2 + 2*c - 2. Let u(p) = 3*p**2 - 5*p + 5. Let x(w) = -5*r(w) - 2*u(w). Let f(n) be the first derivative of n**2 + 1. Determine x(f(g)).
-4*g**2
Let o be (((-6)/(-9))/(-2))/(-10). Let y(n) be the third derivative of 0*n**4 + 0*n**3 + 0 + 0*n - 2*n**2 + o*n**5. Let z(c) = c. Determine z(y(s)).
2*s**2
Let y(i) = 2*i. Let h(q) = -602*q**2. What is y(h(x))?
-1204*x**2
Let l(m) = 4*m**2. Let i(q) = 1011*q. Determine i(l(p)).
4044*p**2
Let f be (-3 - -1)/(10/(-20)). Let d(p) = f*p**2 + 2*p**2 - 5*p**2 + 0*p**2. Let b(y) = 3*y**2 - 5*y**2 + 0*y**2. Give b(d(v)).
-2*v**4
Let s = -18 + 18. Let c(a) be the third derivative of 0 + 0*a**4 + 2*a**2 + 0*a + s*a**3 - 1/20*a**5. Let n(q) = 2*q**2. Give c(n(f)).
-12*f**4
Let z(j) = -j. Let b(k) = 27*k + 15. Determine z(b(p)).
-27*p - 15
Let r(p) be the first derivative of -p**2 - 1. Let o(g) be the third derivative of g**4/12 + 5*g**2. Determine r(o(y)).
-4*y
Let h(t) = 15*t. Let q(v) = -v + 2188 - 2188. Determine q(h(w)).
-15*w
Let z(k) = k**2. Let t(o) = -18*o**2 + 2. Give z(t(v)).
324*v**4 - 72*v**2 + 4
Let k(j) = -5*j + 4. Let z(n) = n - 1. Let p(d) = -k(d) - 4*z(d). Let b(f) = -3*f**2. Calculate p(b(y)).
-3*y**2
Suppose -3*s + 4 + 5 = 0. Let t(m) = s - 3 - m + 2*m. Let b(x) = -1. Let h(r) = -r + 1. Let q(u) = 4*b(u) + 4*h(u). Calculate q(t(f)).
-4*f
Let p(m) = -2*m. Suppose 0 = -k + 7 - 5. Let b(z) = k*z + 0*z - 6*z. Calculate p(b(r)).
8*r
Let g(u) be the third derivative of u**5/60 - 21*u**2. Let c(d) = -17*d**2. Determine g(c(q)).
289*q**4
Let o(k) = k**2. Let b(t) = 2*t - 7*t - 3*t + 11*t. What is b(o(h))?
3*h**2
Let d(k) be the third derivative of -k**5/60 - 7*k**2. Let b(x) be the second derivative of 2*x**3/3 + x. What is b(d(f))?
-4*f**2
Suppose -3 + 15 = -2*g. Let a be (-4)/g*(-7 + 10). Let j(r) = -3*r**a + 7*r**2 - 2*r**2. Let y(x) = -4*x**2. What is y(j(p))?
-16*p**4
Let r(n) = 2*n. Let u(s) = -2*s. Let p(t) = 2*t - 4. Let f be p(4). Let j(q) = f*u(q) + 5*r(q). Let v(l) = -2*l. Calculate j(v(w)).
-4*w
Let w(h) = 2*h. Let t(r) = -r. Let j(o) = 2*o. Let k(y) = j(y) + 4*t(y). Calculate k(w(b)).
-4*b
Let z(k) = -892*k. Let m(d) = d**2. What is m(z(l))?
795664*l**2
Let x(s) be the first derivative of 2*s**3/3 + 1. Let b(l) be the third derivative of 0 - 1/12*l**4 + 0*l - 2*l**2 + 0*l**3. Calculate b(x(r)).
-4*r**2
Let w(l) = -7*l - 6. Let v(j) = j + 1. Let d(a) = -6*v(a) - w(a). Suppose -q - 2*b = 0, 7 = -q + 2*q - 5*b. Let i(t) = -q*t**2 - 2 + 2 + 0. Give i(d(k)).
-2*k**2
Let f(v) = 43*v**2. Let k(m) = -5*m**2. What is f(k(x))?
1075*x**4
Let g(l) be the second derivative of -5*l**4/12 + 25*l. Let r(i) be the second derivative of -i**4/12 + 2*i. Calculate r(g(v)).
-25*v**4
Let a(f) be the third derivative of f**5/60 + 15*f**2. Let y(t) = 28*t. What is a(y(i))?
784*i**2
Let a(z) = -4*z - 5. Let q(y) = -15*y - 21. Let g(w) = 21*a(w) - 5*q(w). Let h(u) = -2*u. Calculate g(h(i)).
18*i
Let y(a) = a**2 - 34*a. Let h(o) = -o. Give h(y(g)).
-g**2 + 34*g
Let l(s) = -s - 3. Let f be l(-5). Let r(k) = k**2 - 2*k + f*k. Let a(h) be the third derivative of -h**5/60 + 10*h**2. Determine r(a(d)).
d**4
Let f(q) = -3*q**2. Suppose 2*j + 10 = -2*u + 6*u, -4*u - j - 5 = 0. Let r(o) = 5*o - o + u*o. Give f(r(k)).
-48*k**2
Let z(a) = 2*a**2. Let h(b) = 18*b**2 + 2*b. Calculate z(h(n)).
648*n**4 + 144*n**3 + 8*n**2
Let c(j) be the third derivative of -j**4/8 - 27*j**2. Let p(x) be the second derivative of -x**3/3 + x. Give c(p(f)).
6*f
Let u(x) = -61*x - 2. Let l(n) = 2*n**2. Determine l(u(a)).
7442*a**2 + 488*a + 8
Let x(j) be the third derivative of 2*j**5/15 - j**2. Let g(i) = -16*i + 22. Let w(d) = -3*d + 4. Let m(p) = 6*g(p) - 33*w(p). Calculate x(m(k)).
72*k**2
Let h(v) = -1069*v. Let k(g) = 2*g**2. Determine h(k(u)).
-2138*u**2
Let c(n) = n. Let m(i) be the first derivative of i**2/2 - 10. Give c(m(k)).
k
Let o(v) = -2*v. Let s(r) = -12290*r**2. What is s(o(f))?
-49160*f**2
Let o(l) = -3*l + 4. Let z(i) = i + 6. Calculate o(z(a)).
-3*a - 14
Let n(g) = 2*g**2. Let f(u) = -984*u - 1. Determine f(n(r)).
-1968*r**2 - 1
Let l(o) = 4*o**2. Let f = -25 - -17. Let r = f - -11. Let a(m) = 6*m**2 + m**2 - 3*m**2 - r*m**2. What is a(l(h))?
16*h**4
Let a(i) = -7*i + 5*i - i. Let p(c) = -6*c**2. Determine a(p(o)).
18*o**2
Let z(l) = l**2 + 2*l**2 - 2*l**2. Let n = 5 - 2. Let d(h) = -n*h + 6*h - 2*h. Give d(z(u)).
u**2
Let m(n) = 1. Let g be (-1)/((-1)/3) - 0. Let l(s) = s + 3. Let w(x) = g*m(x) - l(x). Let t(q) = 7 + 2*q**2 - 7 - 3*q**2. Calculate w(t(r)).
r**2
Let n(g) = g**2 - 3*g - 7. Let i be n(5). Let d(f) = i*f - 6*f + 0*f. Let l(h) = -6*h**2 + 5*h. Let s(q) = -q**2 + q. Let w(o) = -l(o) + 5*s(o). Give d(w(b)).
-3*b**2
Let h(k) = -6*k**2. Let i(x) = -394*x**2 + 2. Calculate h(i(f)).
-931416*f**4 + 9456*f**2 - 24
Let s(m) = 6*m. Let d(p) = 2*p**2 - 153*p + 153*p. Give d(s(h)).
72*h**2
Let b(x) = -x. Let p(r) = -r + 2*r + 2*r - 5*r. Calculate b(p(g)).
2*g
Let j(t) be the first derivative of -t**5/60 + t**2 - 1. Let l(o) be the second derivative of j(o). Let x(z) = -z. Calculate x(l(b)).
b**2
Let f(w) = -w**2. Let o(i) = i - 5. Let d be o(7). Let c(a) = -a**2 + 4 + d - 6. What is f(c(m))?
-m**4
Let c(o) = 85*o. Let i(a) = -18*a**2 + 2*a. Calculate i(c(p)).
-130050*p**2 + 170*p
Suppose 0 = -5*d + 2*g - 5*g + 4, 2*d + 8 = 2*g. Let l = 5 + d. Let s(c) = -l + 4 - 3*c**2. Let a(b) = -2*b**2. Calculate a(s(i)).
-18*i**4
Let d be 2/(-11) - 24/(-11). Let n(c) = 5*c**2 - 6*c**d + 4*c**2. Let u(i) = 3*i. What is n(u(h))?
27*h**2
Let z(u) = -7*u. Let j(h) be the third derivative of -h**5/60 + 8*h**2. Give j(z(f)).
-49*f**2
Let y(u) = -4*u**2. Let q(o) be the second derivative of o**5/120 + o**3/2 + o. Let k(l) be the second derivative of q(l). Calculate y(k(c)).
-4*c**2
Suppose -2*u = -u. Let k(s) = u*s - s - 9*s + 6*s. Let v(d) = -4*d. Calculate k(v(w)).
16*w
Let h(l) = 6*l. Let n(u) = -2 - 2 + 4 - u. Let y be n(-1). Let q(p) = 1 - 2 + y + p. What is h(q(i))?
6*i
Let q(l) = 4*l**2. Let k(s) = 2926*s**2. Give k(q(w)).
46816*w**4
Let u(k) = -4028*k. Let z(o) = -2*o**2. What is z(u(t))?
-32449568*t**2
Let r(u) be the third derivative of -u**6/720 - u**4/24 + 2*u**2. Let v(q) be the second derivative of r(q). Let y(x) = x**2. Give v(y(t)).
-t**2
Let v(h) be the first derivative of 2*h**2 + 1. Let x(k) be the first derivative of k**3/3 - 2. Calculate x(v(g)).
16*g**2
Let u(g) = 7*g + 5. Let q(b) be the third derivative of 1/3*b**3 + 0*b + 0 + 3*b**2 + 1/8*b**4. Let r(p) = 5*q(p) - 2*u(p). Let n(c) = 6*c. Calculate r(n(l)).
6*l
Let f(s) be the first derivative of -2*s**3/3 + 1. Let a(v) be the second derivative of -2*v**4/3 - 6*v. Calculate a(f(k)).
-32*k**4
Let d(s) = 2*s. Let h(t) = 2206*t. Give h(d(c)).
4412*c
Let a(c) = 2*c**2. Let h(u) = 2*u - 655. Determine h(a(f)).
4*f**2 - 655
Let o(b) = -2*b - 9. Let z(v) = -15*v**2. What is z(o(t))?
-60*t**2 - 540*t - 1215
Let a(g) = -4*g**2 + 5*g**2 + g**2. Let p = 3 + -10. Let w(z) = 4*z - 7. Let j(y) = 2*y - 3. Let q(u) = p*j(u) + 3*w(u). Give a(q(m)).
8*m**2
Let j(k) = -4*k**2. Let u be ((-14)/6 + 3)/1. Let g(h) be the first derivative of 1 - u*h**3 + 0*h**2 + 0*h. Give j(g(z)).
-16*z**4
Let j(s) = -4*s**2. Let l(b) = -80*b**2 + 2. Give l(j(i)).
-1280*i**4 + 2
Let n(k) = 30*k**2. Let q(b) be the second derivative of b**4/12 - b + 1. Determine n(q(c)).
30*c**4
Let v(h) = -2*h. Let d(b) be the first derivative of b**5/30 + b**3 - 4. Let c(t) be the third derivative of d(t). Determine c(v(l)).
-8*l
Let t(n) = -3*n - 2 + 2 + n. Let w(d) be the second derivative of d**3/6 + d. What is w(t(a))?
-2*a
Let a(o) be the first derivative of o**3/6 + 2*o - 5. Let t(m) be the first derivative of a(m). Let l(x) = 6*x. Determine t(l(p)).
6*p
Let v(o) = -2*o**2 + 12*o + 6. Let i(f) = 2*f + 1. Let j(y) = -6*i(y) + v(y). Let d(k) = 26*k. Calculate j(d(a)).
-1352*a**2
Let f(l) = 4*l**2 + 24. Let u(q) = 31*q. Give u(f(k)).
124*k**2 + 744
Let h(l) = 2*l. Let u(d) = -3930*d - 2. Determine u(h(z)).
-7860*z - 2
Let j(q) = -37*q + 33*q + 1 - 1. Let f(k) be the first derivative of -2*k**3/3 + 1. Calculate f(j(x)).
-32*x**2
Let n(s) = -2*s - 2. Let f(o) = -2. Let q(a) = -2*f(a) + 2*n(a). Let v(b) = 7*b**2. Let j(i) = i**2. Let x(p) = -5*j(p) + v(p). Calculate x(q(k)).
32*k**2
Let j(v) = 21*v**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
8234 = j. What is the tens digit of x?
5
Let y(x) = x**3 - 9*x**2 + 12*x - 20. Let w be y(8). Let a be 3/(13/w + (-7)/21). Suppose 0 = -3*v - 0*v + 5*p + 568, a = 4*p. What is the tens digit of v?
9
Let i(h) = -h**3 - 15*h**2 - 21 + 17*h - 7*h**2 + 9*h**2. Let n be i(-14). What is the tens digit of (n/12 - -4)*-28?
3
Suppose -36*o = -1480 - 83552. Let z = -1184 + o. What is the units digit of z?
8
What is the tens digit of ((-239226)/(-18))/(17*(-3)/(-153))?
7
Let h = 2483 + -1869. What is the tens digit of h?
1
Let y(r) = 2*r**3 - 3*r**2 - 8*r + 51. Let s be (-1)/(-7 + (-192)/(-28)). What is the units digit of y(s)?
4
Suppose -x = 40*x - 158629. What is the thousands digit of x?
3
Let b(h) = h**3 + 44*h**2 - 53*h - 29. Let a = -356 + 311. What is the hundreds digit of b(a)?
3
Let g(o) = -4*o**3 + 3*o**2 + 20*o + 11. What is the units digit of g(-12)?
5
Suppose -833930 + 4605387 = 59*f. What is the tens digit of f?
2
Let d = -450 + 153. What is the tens digit of (-4)/18 - 11/(d/3624)?
3
Suppose -20118 = -3*y + 2*j, -3*j + 26841 = 4*y - 0*y. What is the thousands digit of y?
6
Let m = 96 - 31. Suppose 5*o + 20 = m. Suppose o*s = 222 + 1830. What is the units digit of s?
8
Let n be 38/10 + (-1)/(-5) + 1814. Suppose -32*g + n = -29*g. Suppose g + 490 = 4*l. What is the hundreds digit of l?
2
Let z = 266 + -262. What is the tens digit of 10120/(-11)*-1 + (z - 0)?
2
Suppose -j - 4*x = -4326, -2877 = -j + 5*x + 1485. What is the thousands digit of j?
4
Let q = -89 - -8013. Suppose 3*z - 17*z = -q. What is the hundreds digit of z?
5
Let k(u) = u**3 - 6*u**2 - 22 + 7 + 136*u - 133*u. Let j be k(6). Let h(v) = 8*v**3 - 2*v**2 - 6*v. What is the units digit of h(j)?
0
Let i = 19815 - 5123. What is the units digit of i?
2
Let l(p) = -p**3 - 7*p**2 - 10*p - 8. Let h be l(-9). Let z = 326 - h. What is the tens digit of z?
8
Suppose 58*i + 260623 = 708847. What is the thousands digit of i?
7
Suppose 3*g - 85 = 5*k, 4*k - 3*g = -8*g - 68. Let l be 9/(-21) - k/7. Suppose -30 - 40 = -l*j. What is the units digit of j?
5
Let c(q) = q + 0 + 127*q**2 + 4 + 0 - 3. What is the hundreds digit of c(1)?
1
Suppose 4*u + 12 = 8*u. Let b be (-12)/(-7) - 8/(-28). Suppose l = -b*x - 3, -u*l = -2*l + 4*x + 7. What is the units digit of l?
1
Suppose 2*c - 3190 = -5*m, 0 = -c + 2*m + 1953 - 358. What is the thousands digit of c?
1
Suppose -10651 - 2373 = -c - 325. What is the units digit of c?
9
Let u(i) be the second derivative of -59/3*i**3 - 5*i**2 + 0 - 11*i. What is the tens digit of u(-2)?
2
Let j be 84/(-36) + (0 + 1)/3. What is the units digit of (j*18/(-16))/(2/304)?
2
Let k be (-107)/7 - 34/(-119). What is the units digit of (-11)/55 + (-3)/k*276?
5
Suppose -2*g + 5*m = -10996, -27439 = -38*g + 33*g + 4*m. What is the tens digit of g?
8
Suppose 0 = 5*q - 5*s - 70, 4*q + 2*s - s = 36. Suppose -2968 = -q*u + 3132. What is the tens digit of u?
1
Suppose 134044 - 447840 = -145*x + 2022589. What is the hundreds digit of x?
1
Let g(l) = -529*l + 1030. What is the units digit of g(-9)?
1
Suppose -8*l + 117752 = 4*o, 5*o + 73634 = 5*l + o. What is the hundreds digit of l?
7
Let r(p) = -p**3 - 3*p**2 - 5*p - 4. Let w be (-16)/9 - 4/18. Let c be r(w). Suppose -c*m + 47 = -0*m + x, 4*x + 137 = 5*m. What is the units digit of m?
5
Let m be 1*(18 + 1) + (-20 - -22). Suppose 5*w = -m + 141. What is the hundreds digit of 16/w + 1064/6?
1
Let w(f) = -f**2 + 11*f + 39. Let o be w(12). Suppose -2*d + o*s + 134 = 23*s, 5*d + 5*s = 335. What is the units digit of d?
7
Suppose -96 = -3*z - 5*r, 2*z - 2*r = 41 + 39. Let s = 35 - z. What is the tens digit of (-103)/s + (-51)/(-34)?
5
Let v = 78424 - 45647. What is the ten thousands digit of v?
3
Let l = -15413 - -26691. What is the units digit of l?
8
What is the thousands digit of 3/13 - 1695780/(-585)?
2
Let t be (1 + -2)*(-5 + 0). Suppose 5*a = 6*w - 30, -127 = -4*a - 151. Suppose w*b - 170 = -t*b. What is the tens digit of b?
3
Suppose 3*u - 12886 = -m - 4*u, -5*u = -4*m + 51676. What is the units digit of m?
4
Suppose 11*d + 505 = 6*d. Let l = -99 - d. Suppose -93 = -f + 2*v + 2*v, -l*v = -3*f + 269. What is the units digit of f?
9
Suppose -4*v - 17 = 3*j, -13 = 2*j + 5*v + 10. What is the units digit of j + (10 - 4) - -1?
8
Suppose 0 = -3*m - 3*u + 4760 + 4465, m - 3081 = -4*u. Let p = m + -1314. What is the tens digit of p?
5
What is the hundreds digit of 4145 - ((-3)/((-9)/1))/(34/(-204))?
1
Suppose 2*h = 4*v - 36528, 13468 + 13938 = 3*v - 4*h. What is the hundreds digit of v?
1
Suppose 5*f - 56 - 184 = 0. Suppose 16*x = 17*x - f. Let u = 114 - x. What is the units digit of u?
6
Let f(d) = -10*d**2 + 4*d + 83. Let p be f(-7). What is the hundreds digit of (51/(-17))/(3/p)?
4
Suppose 0 = 142*i - 16*i + 55*i - 5374252. What is the thousands digit of i?
9
Suppose -10*l = -2*l + 2056. Let g = 1029 + l. What is the tens digit of g?
7
What is the hundreds digit of 155/(-124) - 1061140/(-16)?
3
Let b be (-72)/108*7/((-7)/120). Let q = -73 + b. What is the units digit of q?
7
Let h(b) = -b**2 + 15*b - 5. Let c be h(12). Let n(r) = r**2 - 17*r - 19. What is the tens digit of n(c)?
1
Suppose 2*q = u - 3*u + 6008, -9007 = -3*q + 2*u. What is the hundreds digit of q?
0
What is the units digit of (-3*(-7)/(-14))/(9/(-2400))?
0
Let r(d) be the third derivative of d**5/60 - d**4/24 - d**3 - 34*d**2. Let b be r(-3). Suppose 10*g - b = 7*g. What is the units digit of g?
2
What is the units digit of 3/(-81)*-3 - (-17 - (-1394090)/(-90))?
7
Suppose -13120 + 55038 = 14*g - 60142. What is the hundreds digit of g?
2
Let y = 30 + -18. Let r be (1 + -1)/(4/(y/3)). Suppose r*a + 2*a - 5*g - 279 = 0, a - 135 = g. What is the hundreds digit of a?
1
Let k(j) = -7*j + 20 + j - 6 + 11 + 9*j**2. Let q be k(-7). Suppose 9*u - 5*u = q. What is the tens digit of u?
2
Let w(v) = 199*v + 51. Let i be w(4). Suppose 23*x = 34*x - i. What is the units digit of x?
7
Suppose -d + 11 = 6. Suppose 2*c - 2395 = -d*z, -3*c + 5978 = 2*c + 3*z. Suppose q = 6*q - c. What is the tens digit of q?
3
Suppose 9*p - 77987 = 147524 - 24181. What is the hundreds digit of p?
3
Let s be 1*(5 + -4 + 3 + -1). Suppose 418 = -f - h, -f + s*h - 401 + 3 = 0. Let l = f + 690. What is the tens digit of l?
7
Suppose -5*m + 9346 = -15974. What is the units digit of m?
4
Let z(m) = -675*m - 401. What is the tens digit of z(-24)?
9
Let b = -76 - -80. Suppose b*z = -5*c + 4*c + 287, -607 = -2*c + 3*z. What is the units digit of c?
9
Suppose -4*b = 4*p - 14164, 0*p - 7076 = -2*b - 4*p. Let m be b/68 + 2/(-17). Suppose 15*k + m = 487. What is the tens digit of k?
2
Suppose y - 3*l + 6 = 0, 3*y + 5*l - 10 = -0*l. Suppose 84 = n - y*n. Suppose 18 = -u + n. What is the units digit of u?
6
Suppose 0*z - 5 = 3*r - 2*z, 3*r + 5*z - 23 = 0. What is the tens digit of -1*(r/3)/((-13)/14313)?
6
Let r be (-14)/8 + 2 + (-629)/148. What is the units digit of (166*(-1)/r)/(5/10)?
3
Suppose 3*h - 1 - 5 = -3*z, -5*z - 60 = -5*h. Let g = h + 145. What is the tens digit of g?
5
Let u be (-55)/15 - 4/(-6). Let y be 84/(-147)*(21/2)/u. Suppose 172 + 198 = y*r. What is the units digit of r?
5
Let l = 13366 - 3669. What is the thousands digit of l?
9
Suppose 0 = 201*n - 138673 - 1893327 + 342193. What is the hundreds digit of n?
4
Suppose 10*g = -g - 2695. Let v = 443 + g. Let n = v + -96. What is the tens digit of n?
0
Let a(x) = 198*x**3 + 3*x**2 + 5*x - 21. What is the thousands digit of a(2)?
1
Let t = -49 - -51. Suppose -t*d = -3*d + 4. Suppose 0 = i + 5*r - 93, 0*r + 334 = d*i + r. What is the tens digit of i?
8
Suppose 15*r - 469314 = -2*t, -9*t = -4*r - 14*t + 125137. What is the units digit of r?
8
Let j = -5687 - -8509. What is the hundreds digit of j?
8
Suppose 0 = 50*p - 16*p + 22*p - 1361136. What is the units digit of p?
6
Let b = -2732 - -5487. Suppose 5*z = -5*u + b, -70*z + 69*z - 5*u + 551 = 0. What is the tens digit of z?
5
Let o(s) = 54*s - 50. Let m be o(-3). Let f = m + 1246. What is the thousands digit of f?
1
Suppose 3*u + 15*h = 19*h + 1477, 3*u = 3*h + 1473. Suppose 0 = -2*b + 10, 6*b - 9*b - u = -2*l. What is the units digit of l?
1
Let i = -10107 - -11256. What is the hundreds digit of i?
1
Suppose 0 = 2*u + 4*x - 6, -2*u + 3 = x - 6. Suppose u*f + 5*k - 1130 = 0, 6*f = 4*f - k + 450. What i
|
{
"pile_set_name": "DM Mathematics"
}
|
4)/n)/n**(-1/6) assuming n is positive.
n**(14207/120)
Simplify ((l/l**(-2/7))/(l*l/(l/l**2)*l))/(((l**(-2/15)/l)/l)/(l**6/l))*(l**(-1/8)*l**(-4)/l)/((l/l**(-2))/(l*l/(l*l/(l**(-2/3)/l)))) assuming l is positive.
l**(-4513/840)
Simplify (l**(2/5)/l)/(l*l*l/(l*l**1*l))*l**2*l*l*l*l**(1/2)*l*l*l**(-2)*l*l*l**(-3)*l**(2/3)/l*l*l*l**(-5) assuming l is positive.
l**(17/30)
Simplify (((v*v**(-4/5)*v)/v)/v**(-1/4))**(1/13)/(v*v**(-2/7)*v*v*v*v*v**(-6)/v*v*v/(v**(1/9)*v*v*v*v)*v*v/(v*(v**(1/10)*v)/v)) assuming v is positive.
v**(11569/3276)
Simplify (j**(-2/21)*j*j**(9/5))**(-50)*(j**(-5)*j**(-2))/(j**(-2/17)*j**(1/5)*j) assuming j is positive.
j**(-255827/1785)
Simplify o**(4/5)/o**(-4)*o/o**(-6/5)*o/o**(-1)*((((o*(o/(o**(-1/3)/o))/o)/o*o)/o)/o**(1/10))**(-31) assuming o is positive.
o**(-877/30)
Simplify (w**(-6/11)/w*w*w*w*w**3)/((w*(w/w**(-1))/w)/w*w*w**(-7)/w*w)*w**(-1)*w/(w**(3/7)*w)*w**7/(w**(-2)*w) assuming w is positive.
w**(1234/77)
Simplify (w**(-1))**(-2/13)*(w**(-3/2)*w)/w*(w/(w*w**(3/5)/w))/w*(w/w**(3/7)*w**(-2/9))**(-8) assuming w is positive.
w**(-38819/8190)
Simplify q**5*q**(1/4)/q*((q*q**(2/19))/q)/q**(-6/5)*((q**0/q)/q)**25/(((q**(1/6)*q)/q)/q*((q/(q*q*q/q**4*q*q*q))/q*q)/q) assuming q is positive.
q**(-47437/1140)
Simplify (r*r**(-4)*r*r/(r/(r*r/(r**(1/2)/r))))**(-35)*(r**(1/7)*r*r**(-2/7))**(2/25) assuming r is positive.
r**(-6101/350)
Simplify ((s*s**12/s*s)/(s/s**(7/2)))**47*(s/s**0*s)**(1/41)/(s**(-2/7)/s)**(2/17) assuming s is positive.
s**(7110655/9758)
Simplify (j**12/j*j**(-13)/j)**(3/26)/((j**2)**28/(((j/(((j**4*j)/j*j)/j))/j)/j**(-2/13))) assuming j is positive.
j**(-1565/26)
Simplify (((v/(v*(v*v**(-3)/v)/v))/v)/(v**(-5)/v))**19/((v/(v/(v*v/v**(2/3)*v)))**23*v**(-8)*v**7) assuming v is positive.
v**(355/3)
Simplify (t/(t/t**(2/5))*t**(-2/7))**(-19)*(t/t**1*t/(t/(t/(t/(t/t**7)))))/((t/(t*(t*t**5*t)/t))/t**(1/12)) assuming t is positive.
t**(-877/420)
Simplify (y*y/y**(3/8)*y**(-1))**36*((y**(-6)/y)/(y/(y/((y/((y**(1/8)*y)/y))/y))))**9 assuming y is positive.
y**(-315/8)
Simplify ((n**(1/4))**0/(n**9*n**(-1/4)))/(((n*n**3)/n)/((n*n/((n*n**(1/6)/n)/n))/n)*(n**(-5)*n)/n**(-4/5)) assuming n is positive.
n**(-403/60)
Simplify (((q**(-1)*q)/q)**29/(q**(-1/2))**(1/8))/(q**(3/7)*q**(-3)*(q/q**(-1))**(-11)) assuming q is positive.
q**(-489/112)
Simplify ((y/(y*(y/(y*y**1)*y)/y))/(y**(-2/7)/y))**33*(y*y**1*y)**(1/24)/(y*y*(y/y**5)/y*y**(-4)) assuming y is positive.
y**(4623/56)
Simplify ((g/(g*(g**(-29/2)*g*g)/g))/(g**(6/17)/g)*g**(-41)*g**(1/50))**(4/3) assuming g is positive.
g**(-45616/1275)
Simplify ((n**(-12)/n*n)**(-16/5)*n**(1/6)/n**(-1/3))**21 assuming n is positive.
n**(8169/10)
Simplify ((r*r*r*r**(-15)*r)/r)**(4/11)*(r*r**(-3/4)/r)/r**(10/3) assuming r is positive.
r**(-1115/132)
Simplify (((x/((x*(x/(x/x**(5/6)*x))/x)/x))/x**(-1/22))/(x**(-3/7)*x/(x*x**(2/11))))**(-20) assuming x is positive.
x**(-13040/231)
Simplify ((w**1)**(-21))**18/((w**(-3)*w*w)/(w*w*(w*w**5)/w*w*w)*w/(w*(w*(w**(-2/3)/w)/w)/w)*w/(w**7/w*w)) assuming w is positive.
w**(-1094/3)
Simplify (((l**(-5/3)*l)/l)/l*l**(-4)*l/(l*l**(-5))*l*l/(l**(5/2)/l*l))/((l*l**(-1/2))**43)**(6/17) assuming l is positive.
l**(-995/102)
Simplify (((h*h*h**(-12))/h)/h)**(-35)/(h/h**(3/5)*h/(h*h*h**46/h*h)) assuming h is positive.
h**(2333/5)
Simplify ((c**(-26)*c**(-1/6))/(c*c*c**(4/5)*c)**25)**(-17/2) assuming c is positive.
c**(12359/12)
Simplify (c*c/c**(-9)*c*c/(c*c*c*c/c**(1/3)*c)*c)/((c**(-1/4)/c)/c**(3/7))*((c**0*c)**(-4/3))**(2/7) assuming c is positive.
c**(893/84)
Simplify (s**(-1/4)*s**(-2/3))**32/((s**(-1/8)/s)/s*s**(-2/11)*s)**(-19/3) assuming s is positive.
s**(-9929/264)
Simplify (f**(1/26)/(f/(f/(f*f**(-13/3)*f)))*f**(-27)*f**28)**(1/6) assuming f is positive.
f**(263/468)
Simplify (((g**(-1))**(-2/9)*g*(g*g**5/g)/g*g**(4/3)/g)**20)**(-4/19) assuming g is positive.
g**(-4000/171)
Simplify ((r**0*r)**22/(r**(-1/4)/(r**(-3)*r)))/(r**1/r*r**6*r*r**3/r*r**1*r*r) assuming r is positive.
r**(33/4)
Simplify (k**7*k**17/k*k*k**(-3/5)*k*k*k/(k**17/k*k))**8 assuming k is positive.
k**(376/5)
Simplify ((a**9/(a**(-3/2)/a))/(((a*a**(-1/4)/a)/a)/a**(-3/5)))/((a**(1/3))**(-1/6))**(6/25) assuming a is positive.
a**(3649/300)
Simplify (m*m/m**(-5/8)*m**(-1/8)*(m*m*m*m**(2/5)/m*m*m)**(-1/2))**(-9/4) assuming m is positive.
m**(-27/40)
Simplify ((z**(-19)*z*z)**(-5)*z**(-42)*z**19)**(-8) assuming z is positive.
z**(-496)
Simplify (w**(-5/6)/(w/w**(-11)))**(1/19)*((w**(4/9)*w)/w**(2/9))**(-29) assuming w is positive.
w**(-12353/342)
Simplify ((u**(-2)/u**(-6/11))/(u*u**6*u*u/u**2))/((u**(1/2))**(-15)/(u**1)**(-23)) assuming u is positive.
u**(-527/22)
Simplify (((o/(o*o**0)*o*o**(-1/6))/(o**0/(((o**(2/3)/o)/o*o)/o)))**(-44))**49 assuming o is positive.
o**1078
Simplify ((p**11*p)/p**(-1/7))**(-2/59)/((p**(-2/19)*p**(-2/9)*p)/(((((p**6*p*p)/p*p)/p)/p)/(p*(p/((p*p/(p/(p/(p*p**2)*p)))/p)*p*p)/p))) assuming p is positive.
p**(64681/70623)
Simplify (p*p**(-6)*p*p*p**0*p**(-2/3)*p/(p*(p**(1/4)/p)/p*p))/((p*p/(p/(p/(p**(2/9)/p))))/(p/((p**(-2/7)/p)/p)))**(-4/19) assuming p is positive.
p**(-14477/4788)
Simplify (p**6*p)/(p*p/(((p*(p*p**(-3/5))/p)/p)/p))*p**(-5)/(p/p**(3/8))*p/p**(-1/6)*p**(2/7)/p*(p**(-1/4))**(-30) assuming p is positive.
p**(4811/840)
Simplify ((w**3*w/w**(-1/10))/((w/(w/w**(-2/5)))/w**4))**24 assuming w is positive.
w**204
Simplify (c**(-1)*c*c*c**3)**(-29)*((c**(4/5)/c)/(c/(c/(((c**(-1/2)/c)/c)/c))))**(-1/11) assuming c is positive.
c**(-1163/10)
Simplify (j*j**5*j/(j**(5/4)/j))**(-6)/(j/j**7*j**(-1/6))**(-20) assuming j is positive.
j**(-983/6)
Simplify (((v*v**13)/v*v*v)/v*v**(-10/7))**(-38)*(v/(v*v**(-2)))**(-1)*v*v**3*v**(-8) assuming v is positive.
v**(-3386/7)
Simplify (n**(-8))**(-2/9)/(n*n**(-19)*n*n**1*n) assuming n is positive.
n**(151/9)
Simplify ((z/((z**3*z)/z))/z*z/(z**(2/25)*z))/(z**(4/5)/z**(1/7))*(z**(2/5)/(z*z*z*z/z**(-1)))/(z**(4/5)/z**(-4)) assuming z is positive.
z**(-2299/175)
Simplify (i/i**(3/4)*i**(1/4)*(i/(i/(i/i**(-5))))/(i/i**6))/((i/(i/i**(3/4)))/i**(-2))**41 assuming i is positive.
i**(-405/4)
Simplify (y**30*((y*y/(y**6/y))/y)/y*y/((y*y**(-2/29))/y)*y*y**(-1/2))**(-12/11) assuming y is positive.
y**(-9246/319)
Simplify ((r**(-1)/r)**23/((r/(r*r*r*r**5/r*r)*r)/(r**(-1/3)*r)))/((r**(3/4)*r*r**(-2))/(r/r**(-1/2))**(-1/9)) assuming r is positive.
r**(-157/4)
Simplify (z**12*z*z**(-18)/z*z*z*z**(11/4)/z**18)**1 assuming z is positive.
z**(-77/4)
Simplify ((y**12)**(-7/3)*(y/((y/y**(-18))/y))**(-45))**(1/12) assuming y is positive.
y**(737/12)
Simplify ((g**(-20)*g)/(g**(1/13)/g))/(g/(g/((g*g**(1/12)*g*g)/g))*(g**(-43)*g*g)/g*g) assuming g is positive.
g**(3251/156)
Simplify (q*q**(3/5)/q*q/((q/(q*(q/q**(-10)*q)/q*q))/q)*q*q**25*q*q*q*q**11)**(3/7) assuming q is positive.
q**(117/5)
Simplify (((v/v**(-3))/v*(v/v**(1/4))/v)/((v**(7/6)/v)/(v**(-2/11)/v)))**40 assuming v is positive.
v**(1850/33)
Simplify ((n**(2/7))**(-16/3))**(-6)/((n*n**6*n**(-2))/(n**(3/8)/((n/(n*n**1))/n))) assuming n is positive.
n**(365/56)
Simplify (g**(2/3))**(-43)*(g**(1/4))**(-13/5)*((g**(1/3)/g)**(-25))**(2/37) assuming g is positive.
g**(-63083/2220)
Simplify (d**(-39)*d)**(-28)*(d*d**23)**(-1) assuming d is positive.
d**1040
Simplify ((q/(q/(q*q/q**(-6))))/q**(4/7)*(q/(q*q*((q**(2/7)*q)/q)/q))**(12/5))/((q**2/q**(-3/4))/((q*q**3)/((q/(q*q**(2/15))*q)/q))) assuming q is positive.
q**(3413/420)
Simplify (((h/(h*((h**(-1/3)*h)/h)/h))/h)**7*(h**(-1/3)*h*h)**(-9/8))**(-1) assuming h is positive.
h**(-11/24)
Simplify ((n**1)**(-36)*n**7*n*n**(2/7))/((n**(-2/21)*n)/n**0*(n**0)**(-42)) assuming n is positive.
n**(-601/21)
Simplify (y**(2/9)*y**(-1)*y)**(-37)*(((y/y**(-1))/y)/(y*y**(2/9)*y))/(y/((y*(y**(-2)/y)/y*y)/y))**(1/47) assuming y is positive.
y**(-4031/423)
Simplify (((q/q**12)/q*q*q**17)/(q**(-1/3))**(4/3))**21 assuming q is positive.
q**(406/3)
Simplify (t/(t/(t/(t**(-2/7)/t)))*t*t**5)**(-1/35)*((t/(t/(t*t/(t**(-2/7)*t))))/t)**(-24)/(t**0/t**(-1/3)) assuming t is positive.
t**(-5459/735)
Simplify ((d**(3/7))**33/(d*(d*d/(d**1/d)*d)/d)**(-44))**(-21) assuming d is positive.
d**(-3069)
Simplify (((m*m/((m*m**(-1/17))/m))/m)**(-47)/(m**(-2/5)/m)**(-21/5))**(-1/6) assuming m is positive.
m**(7883/850)
Simplify ((n/n**(2/11)*n*n**(8/5)*n**(1/19)/(((n**(1/3)*n
|
{
"pile_set_name": "DM Mathematics"
}
|
Simplify (-2*sqrt(180) - sqrt(180))**2 + ((3*sqrt(220))/sqrt(11))**2 + sqrt(20) - (-5 + -5*((1 + sqrt(320))*-3)**2).
722*sqrt(5) + 16250
Simplify -3*(sqrt(175) - sqrt(175)*4*-1) + (2*-5*((sqrt(175) - sqrt(175)*3) + sqrt(175)))**2 + 4.
-75*sqrt(7) + 17504
Simplify (((sqrt(330)*-1 + sqrt(330))*-4 - sqrt(330))/(-4*sqrt(40)))/((sqrt(22) + (sqrt(22) - (-2*sqrt(110))/sqrt(5)))/(1*sqrt(2)*3)).
3*sqrt(3)/32
Simplify -6*-2*(-2 + (sqrt(363) - (sqrt(363) - (sqrt(363) - -3*sqrt(363)))) + 5*(0 + sqrt(3) + 4)).
216 + 588*sqrt(3)
Simplify (5*4*6*(sqrt(1782) - sqrt(1782)*1))/(((sqrt(264)*1)/sqrt(11))/sqrt(12) + -2*(sqrt(10)/(sqrt(20)/sqrt(4)) - sqrt(2))).
0
Simplify (sqrt(18) - 1*sqrt(36)/sqrt(2))/(sqrt(600) + (sqrt(600) - 1*sqrt(600))) - (sqrt(33)/(sqrt(11) + sqrt(99)) + 4 + sqrt(21)/(sqrt(700)*2)).
-4 - 3*sqrt(3)/10
Simplify ((sqrt(76)*3 + sqrt(76))**2*-2 + -4 + ((sqrt(76) + 0)**2 + 0 - 4*(1 + sqrt(76))))*-1.
8*sqrt(19) + 2364
Simplify (-4*(-2 + sqrt(44)/sqrt(4) - (-4 + sqrt(11) + -1)) + 4*(sqrt(99) - (-5 + sqrt(99) + 0 + sqrt(99))))**2.
-192*sqrt(11) + 1648
Simplify ((sqrt(4320) - -2*sqrt(4320)*4)*-5)/(2*(sqrt(4840) + sqrt(4840) + -1*sqrt(4840))).
-135*sqrt(3)/11
Simplify (6*(-1 + 2*(2 + -2*sqrt(1216) + sqrt(1216) - sqrt(1216)) + -2*sqrt(1216)*-1*-5))**2*5.
-120960*sqrt(19) + 42902100
Simplify -1 + 2 + 1 + -3 + ((sqrt(3400)*2 - sqrt(34))/sqrt(2))**2 + 2.
6138
Simplify (3 + (sqrt(26) - (sqrt(1274) + sqrt(1274)*-2))/(sqrt(2) + -1*sqrt(128)) + 3 + -5)**2.
-16*sqrt(13)/7 + 881/49
Simplify (5*1*sqrt(110)*-1*-4)/((2*sqrt(320))/(((sqrt(72) - sqrt(8)) + sqrt(8))/sqrt(4))).
15*sqrt(11)/2
Simplify -4*((1 + sqrt(1331) + 1)**2 - ((-2 + sqrt(1331) + 2)**2 + sqrt(1331) - sqrt(1331))) + 2 + 0.
-176*sqrt(11) - 14
Simplify (sqrt(84)/sqrt(768) + (sqrt(77)*-5 + sqrt(77))/sqrt(11) + sqrt(7) + (sqrt(112) - sqrt(7)) + 1 + 3*sqrt(7)*2)**2.
49*sqrt(7)/4 + 16871/64
Simplify (5*(sqrt(2448) + -2 + 0 + sqrt(2448)) + -4*-2*sqrt(2448) + sqrt(2448) + sqrt(2448) + -5 + sqrt(2448)*-2 + sqrt(2448))**2*-3*2.
-5303718 + 41040*sqrt(17)
Simplify 5*(sqrt(450) + (2*(0 + sqrt(450)) - sqrt(450)) + 5 - ((sqrt(150)/sqrt(12) - sqrt(50))**2 + (sqrt(200) - (sqrt(200) + -1)**2))).
1935/2
Simplify 1*(1*sqrt(1872) + 2 + sqrt(1872))**2 - (sqrt(52)/sqrt(4) + -5 - -4*(sqrt(91)/sqrt(7) + sqrt(13) + sqrt(13)))**2.
226*sqrt(13) + 5270
Simplify 3 + (1 + ((-5*sqrt(325) + sqrt(325))**2 - sqrt(325)) - (-5*sqrt(325)*2)**2) + 4.
-27292 - 5*sqrt(13)
Simplify 1 + -3*(-5 + 0 + (-4*sqrt(297)/sqrt(9))/(sqrt(162)/sqrt(6))).
4*sqrt(11) + 16
Simplify (-2 + 0 + (-1 + sqrt(180) - sqrt(180)) + -5 + (sqrt(385)/sqrt(112))/(sqrt(121)/sqrt(176)))**2.
-16*sqrt(5) + 69
Simplify 0 + ((sqrt(768) + 5*(4 + sqrt(768)) - ((sqrt(768) + 0)*3 + sqrt(768))) + 1)**2.
1344*sqrt(3) + 3513
Simplify (4*((sqrt(1274) - (sqrt(1274) - sqrt(1274)*-3*5)) + sqrt(1274)))/((sqrt(900)*-2)/sqrt(2)).
196*sqrt(13)/15
Simplify ((((sqrt(252)*-1 + 2)*5 - (-1 + (sqrt(252) + 0 - sqrt(252))*1)) + -5)*3)**2.
-3240*sqrt(7) + 57024
Simplify 2*(5*((2 + 5*sqrt(128)*-1 + -4)*-2 + 0))**2.
32000*sqrt(2) + 640800
Simplify ((sqrt(396)*-4)/(sqrt(324)/sqrt(9)) + (6*sqrt(198))/((-1*sqrt(10) - sqrt(10))/sqrt(5)))**2.
1859
Simplify (sqrt(30)/(sqrt(27) - sqrt(3)))/(sqrt(6)/(sqrt(9)/sqrt(3))) - (sqrt(15)/(sqrt(108) - (sqrt(108) - -1*sqrt(108)) - sqrt(108))*1)**2.
-5/144 + sqrt(5)/2
Simplify (sqrt(156) + 1*sqrt(156)*2 - ((-1*sqrt(156) + sqrt(156))*6 - sqrt(156)))/(sqrt(144)/(sqrt(432)*-5 + sqrt(12) - sqrt(12))).
-120*sqrt(13)
Simplify ((-1*sqrt(132)*-3 + sqrt(132))/((-2*sqrt(33))/sqrt(3)))/((-1*sqrt(384) + (sqrt(6) - sqrt(6)*-1*-5))*-2).
-sqrt(2)/12
Simplify 4*(4*(-1 + 1*sqrt(11)) + (sqrt(77) - 3*(sqrt(77) + sqrt(77)*1 + sqrt(77) + sqrt(77)))/sqrt(7))*6*6.
-1008*sqrt(11) - 576
Simplify (-2*(4 + sqrt(22)/sqrt(2)*-6) - -2*((sqrt(44))**2*5 + -2)) + -1.
12*sqrt(11) + 427
Simplify ((-5*5*1*sqrt(150))/(1*sqrt(300)*6 + sqrt(300) + sqrt(300) + -5*-2*sqrt(300)) + 0)**2.
625/648
Simplify ((((sqrt(264) + 3*1*sqrt(264) - sqrt(264)) + sqrt(264))/(sqrt(8) + (4*sqrt(72) - sqrt(8) - sqrt(8))))/(-6*2*sqrt(1100)))**2.
1/36300
Simplify ((3*sqrt(750) - 3*(sqrt(30) + sqrt(750)))/(2*sqrt(150) - 2*sqrt(24)))**2 + 2.
13/4
Simplify ((sqrt(357) - (sqrt(357) + sqrt(357)*-2)*4)/(-1*sqrt(7)*-4))/(1*1*sqrt(3) + 3*sqrt(432)).
5*sqrt(17)/148
Simplify (2*sqrt(3168)*-2 + sqrt(3168) - sqrt(3168))/((sqrt(216)/sqrt(12) - sqrt(2)) + 3*(sqrt(2) + sqrt(4)/sqrt(2) + sqrt(2))) + -4 + 4.
-48*sqrt(11)/11
Simplify ((-1 + ((sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99) + -1) - sqrt(99))))*-2 + sqrt(99) + sqrt(99) - (1 + sqrt(44) - (sqrt(11) + 1 + 2))))*-2)**2 + 1.
-24*sqrt(11) + 81
Simplify (sqrt(1715) - (sqrt(1715) - sqrt(1715)*1*-2) - -4*3*sqrt(35)*-1)/(sqrt(567)*3 + (sqrt(56)/(sqrt(16)/sqrt(2)) - 3*sqrt(28))).
-13*sqrt(5)/11
Simplify ((sqrt(7) + sqrt(70)/sqrt(40) - (5 + 2*sqrt(7)))**2 + (-2*sqrt(112)*3)**2)*2.
10*sqrt(7) + 16235/2
Simplify -6*(-4 + sqrt(20) + ((sqrt(500))**2 - sqrt(20)) - sqrt(20)) - 4*sqrt(30)/(-2*sqrt(6))*-1.
-2976 + 10*sqrt(5)
Simplify ((-4 + -3*sqrt(288)*-1 - (3 + (-1 + sqrt(288) - sqrt(288)) + 4))*6)**2.
-25920*sqrt(2) + 96912
Simplify 3*((sqrt(1575)*1)/(-6*sqrt(45)/sqrt(5)) - ((sqrt(154)/sqrt(11))/sqrt(2) + sqrt(7) - ((sqrt(28))**2 + sqrt(7) + -3))).
-11*sqrt(7)/2 + 75
Simplify -4 + (4*-1*sqrt(34) + sqrt(102)/sqrt(12))/(sqrt(18)/(sqrt(9)*2 + sqrt(9)) - sqrt(10)/(-1*sqrt(5))).
-21*sqrt(17)/8 - 4
Simplify -2*(sqrt(240)/sqrt(4)*1 - sqrt(60))/sqrt(12)*-3 + (-5*(-1*(sqrt(320) + sqrt(320)*1) + 1 + sqrt(320) + 1))**2.
-800*sqrt(5) + 8100
Simplify ((sqrt(120) - (sqrt(120) - sqrt(120)*-1*-5))/(1*sqrt(4)*3))/(-5*2*sqrt(360)*-5).
sqrt(3)/180
Simplify (-1*2*sqrt(70)*3*6)/((sqrt(90) - (-1*(sqrt(90) + sqrt(90) + sqrt(90)*2) - sqrt(90)))/(sqrt(576) - sqrt(9))).
-42*sqrt(7)
Simplify (3*(3 + sqrt(612) + (sqrt(612) + -1)*5 + 2) + 5)*4.
20 + 432*sqrt(17)
Simplify 3 + -5*(2*4*(sqrt(1008) + 1 + sqrt(1008) + -5) + 2 + -3*sqrt(1008) + sqrt(1008) + 6*(-2 + sqrt(1008)))**2.
-2024817 + 100800*sqrt(7)
Simplify (sqrt(80)/sqrt(4)*-4 - (sqrt(20) - 1*sqrt(20)*4 - sqrt(20)))/((sqrt(144) - sqrt(144)*2) + 1*(sqrt(4) - sqrt(40)/sqrt(10))).
0
Simplify (-4*(sqrt(121) + -2*sqrt(121))*-2)/(-3*(sqrt(99) - sqrt(99)*3))*-6.
8*sqrt(11)/3
Simplify ((4*(sqrt(85) + (-2*sqrt(85) - sqrt(85))) - sqrt(85))*-5*1)/(sqrt(45)/sqrt(144) + -5*(sqrt(5) - sqrt(35)/sqrt(7))).
180*sqrt(17)
Simplify (-3 + -3 + (-4 + 0 + sqrt(300) - (3 + sqrt(300)*-1)) + 5)**2 + 5.
-320*sqrt(3) + 1269
Simplify ((sqrt(1980) + sqrt(1980) + sqrt(1980)*-2 + sqrt(1980))*4)/(sqrt(99) - 6*sqrt(99)*-5 - sqrt(99)).
4*sqrt(5)/15
Simplify ((sqrt(242)*3 - sqrt(242))*3*5 + sqrt(16)/(sqrt(8) + 4*sqrt(88)/sqrt(11) + sqrt(8)) + -5)**2 + -1.
-9905*sqrt(2)/3 + 3924793/18
Simplify (-3 + 3*(5*(sqrt(432) + 1) + 2 - (sqrt(300) + (sqrt(300)*-2 + 1 - sqrt(300)) + 0)))**2.
7200*sqrt(3) + 173025
Simplify 5 + -5 + (3 + 5*-2*sqrt(50) + (sqrt(800) - (sqrt(800) + sqrt(800) + sqrt(800)*2 + sqrt(800) - sqrt(800) - sqrt(800))))**2.
-540*sqrt(2) + 16209
Simplify ((1*sqrt(75)*3*-5 + (-5 + sqrt(3)*1 - (1 + sqrt(192))))*-5)**2.
24600*sqrt(3) + 505200
Simplify (0 + sqrt(500) + -2)*3 - ((sqrt(1280) + sqrt(20))**2 + sqrt(35)/(sqrt(343) - sqrt(7))).
-1626 + 179*sqrt(5)/6
Simplify (-4*(sqrt(99) - sqrt(99)*5) - sqrt(99) - 5*sqrt(99)*5)/((sqrt(90) + -2*sqrt(90)*-5)/(sqrt(10) + (-1*sqrt(10) - sqrt(10))*3)).
50*sqrt(11)/11
Simplify (-3 + 2 + (-4*(sqrt(264) - (sqrt(264)*-5 - sqrt(264))))/(sqrt(6) + (sqrt(6) - (sqrt(54)/sqrt(9)*6 + sqrt(6) - sqrt(6)))))**2.
-28*sqrt(11) + 2157
Simplify ((sqrt(17) - (3 + sqrt(17))) + 2 - sqrt(102)/sqrt(6)*6)*1 + 3 + -2*sqrt(2448) + -5 + sqrt(612).
-24*sqrt(17) - 3
Simplify (0 + -4*(-6*(5 + sqrt(475)) + sqrt(475) + 2)*-6)**2.
806400*sqrt(19) + 7291584
Simplify ((sqrt(2448) - ((sqrt(2448)*-3 - sqrt(2448)) + sqrt(2448) + sqrt(2448)))*-3 + 3*sqrt(2448)*-1)**2 - ((sqrt(2448) - (3 + -2*sqrt(2448))**2) + 3 + 5).
-156*sqrt(17) + 362305
Simplify (-4*(sqrt(720) + (sqrt(720) - 2*(1*sqrt(720) + sqrt(720)))))/((3*sqrt(8640) + sqrt(8640) + sqrt(8640))/(sqrt(150)*3)).
12*sqrt(2)
Simplify (sqrt(2816)*-1 + sqrt(132)/sqrt(3)*1)/(3*2*sqrt(400)*2).
-7*sqrt(11)/120
Simplify 3*(-4*((sqrt(567) + -4)*5 - 4*sqrt(567)*-3))**2*-1.
-7884624 + 293760*sqrt(7)
Simplify (sqrt(1666) + (sqrt(1666) - 4*sqrt(1666) - sqrt(1666)
|
{
"pile_set_name": "DM Mathematics"
}
|
)/(-1)*10/m. Suppose -6*a + 3*a + 2*v + 30 = 0, -2*v - 50 = -5*a. What is the greatest common factor of r and a?
10
Suppose 2*d + 0*c + 3*c = 12, -17 = -d + 4*c. Let y = -4 + 9. Suppose y*v - 405 = 3*x, -4*x + 324 = 3*v + v. What is the highest common factor of d and v?
9
Let s(m) = -m**3 + 15*m**2 + 12*m - 24. Let l be s(15). Calculate the highest common factor of 12 and l.
12
Suppose -27*m + 2*z + 16 = -25*m, -4*m + 2*z = -28. Calculate the highest common factor of m and 678.
6
Suppose -3*l + 29 = 5. Let m be l/(-20) + 27/5. What is the highest common divisor of 45 and m?
5
Let s(y) be the first derivative of y**3/3 + 4*y**2 + 14*y + 1. Let q be s(-6). Let p be (1/(-3))/(q/(-6)). What is the greatest common factor of p and 3?
1
Let d be (-94)/(-7) + -6 + (-39)/(-7). Suppose x + 348 = d*x. What is the highest common divisor of x and 116?
29
Suppose 4*p + 541 = 4*o + 3*p, 4*o - 5*p = 529. Calculate the highest common factor of o and 238.
34
Let x be 4/(-2) + 1 - -29. Suppose -4*a = -2*d + 3*d - 59, -3*a = d - 45. What is the greatest common factor of a and x?
14
Suppose -12 = -4*l, 0 = -2*p + 3*p + 3*l - 75. What is the greatest common factor of 726 and p?
66
Let l(t) = t**3 - 6*t**2 + 5*t + 10. Let q(x) = -x**3 - 6*x**2 + 5*x - 9. Let r be q(-7). Let i be l(r). Calculate the highest common divisor of 15 and i.
5
Suppose l = -4*p + 24, -2*l + 21*p - 23*p + 66 = 0. What is the highest common factor of l and 288?
36
Suppose 1489 = 3*d + 1225. What is the highest common divisor of d and 616?
88
Suppose 9 + 2 = d. Suppose 3*k = -23 + 386. Calculate the highest common divisor of d and k.
11
Suppose -4*z = -4*h - 100, -99 = -23*z + 19*z + 3*h. Calculate the highest common factor of z and 184.
8
Let u(c) = -15*c + 395. Let k be u(10). What is the highest common divisor of k and 35?
35
Suppose -35 = -s + u - 6, 0 = -5*s - u + 121. What is the highest common divisor of s and 325?
25
Let t be (53 - 2) + (6 - 8). Let a = 74 - t. What is the highest common divisor of a and 50?
25
Let h be 2 - -7*((-2064)/(-14))/4. Suppose -8*k = 12*k - h. What is the greatest common factor of 286 and k?
13
Let j(d) = d**2 + 15*d - 20. Let u be j(-16). Let z be (-6 - (0 - u))*18/(-15). What is the greatest common factor of z and 20?
4
Suppose -2*p + 104 = 4*k - 5*p, 0 = -2*k + 5*p + 38. Suppose -3*j - 24 = 27. Let s = k + j. What is the highest common divisor of 18 and s?
6
Let r(v) = v**3 + 6*v**2 + 5*v - 2. Let w be r(-5). Let a = 0 - w. Suppose -a*b + 50 = -b. Calculate the greatest common divisor of 10 and b.
10
Suppose 5*g - 105 = -5*b, -3*g + 95 = 3*b + 2*b. Let a(x) = x + 8. Let w be a(-6). What is the highest common factor of w and b?
2
Let k be 4/(8/4)*16. Let f = k - 23. What is the highest common factor of 99 and f?
9
Let d be ((-18)/24)/((-2)/(-16)). Let s(h) = h**2 + 4*h + 2. Let c be s(d). What is the greatest common factor of c and 14?
14
Let x(h) = h**3 + 16*h**2 - 15*h + 49. Let l be x(-17). Suppose -19 = 5*s - 169. What is the greatest common factor of l and s?
15
Let z = 263 - 214. What is the greatest common factor of z and 7?
7
Let m = -99 + 358. Calculate the greatest common divisor of m and 7.
7
Let d(m) = m**2 + 2*m - 4. Let i be d(-3). Let y = i + 7. Suppose 4*s - 47 = z, -2*s + 22 = -y*z + 4*z. What is the greatest common factor of s and 12?
12
Suppose 0 = 2*j + 34*s - 31*s - 783, 0 = 5*j + s - 1925. What is the greatest common factor of j and 6?
6
Let x = 1 + -2. Let a be x - (-1)/(2 - 177/89). What is the greatest common divisor of 11 and a?
11
Suppose 25*g = 16*g + 216. Let t(m) = -3*m + 6. Let l be t(-6). What is the greatest common divisor of l and g?
24
Let o = -12 + 32. Let y = -9 + o. Let l = -103 - -136. Calculate the greatest common divisor of l and y.
11
Let o(i) = -4*i**2 + 2*i**3 - 3*i**3 + i**2. Let d be o(-3). Suppose -t - 4 + 79 = d. Calculate the highest common factor of t and 50.
25
Suppose -51*u - 2499 = -58*u. Calculate the highest common factor of u and 21.
21
Suppose 0 = 3*z - a - 44, -2*z = -13*a + 9*a - 36. What is the greatest common divisor of z and 14?
14
Suppose 2*r - 3 = 5. Suppose 4*h - 3*y = -0*y, h = 5*y. Let f = h + r. Calculate the highest common divisor of f and 20.
4
Suppose 0 = -30*g + 37*g - 294. Calculate the greatest common factor of g and 266.
14
Suppose -1074 = -34*j + 3516. Calculate the greatest common factor of j and 81.
27
Let r be 6/2*1*1. Let b(c) = -4 - 1 - 2*c + c**r + 4*c**2 + 0*c**3 + 2*c**2. Let l be b(-6). Calculate the highest common factor of l and 21.
7
Let q(w) = -w**3 - 4*w**2 - 2*w - 6. Let i be q(-4). Suppose -i*u - 4 = -4*u. Let f be u + 15 - (-2 - -1). What is the greatest common divisor of 72 and f?
18
Suppose 0 = -2*g + 21 + 49. Let n be 357/(-34)*2/(-3). Calculate the greatest common divisor of g and n.
7
Let x(m) = -m**3 - 17*m**2 - 49*m - 13. Let u be x(-14). Calculate the greatest common factor of u and 17.
17
Let m = -4 + 10. Let x be (-12)/(-36) + 214/m. Let i be ((-1)/(-2))/(1/x). What is the highest common divisor of i and 2?
2
Let q = 25 - 25. Suppose 0 = -q*z + 4*z - 12. Suppose -z*g + 364 = 34. Calculate the greatest common divisor of g and 44.
22
Let l be 408/9 - 24/72. What is the greatest common divisor of 81 and l?
9
Suppose 3*a - 5*c - 235 = 0, -2*a - a = 5*c - 215. Suppose 0 = 3*k - 160 - 8. Let w = k - 26. Calculate the greatest common factor of a and w.
15
Let c = 96 - -8. Calculate the highest common divisor of c and 13.
13
Let k = 129 - 72. Let a = k + -52. Let n = 50 - 35. Calculate the greatest common divisor of a and n.
5
Let u(l) = 2*l**2 + 10*l + 21. Let t be u(-5). What is the highest common divisor of 30 and t?
3
Let z(l) = l**3 + 12*l**2 - 5*l - 17. Let u be z(-12). Suppose 3*y - u + 10 = 0. Let t = 28 - 6. What is the highest common factor of t and y?
11
Let h = -206 + 582. Suppose 2*z - 3*z + 84 = -2*m, -5*z - m + h = 0. What is the greatest common factor of z and 19?
19
Let l = -156 - -170. What is the highest common divisor of 301 and l?
7
Let a be 21/(-28) - 5/4. Let u be (a + 2 - 0) + 8. Let r(h) = h**3 - 2*h**2 + 2*h - 3. Let n be r(2). Calculate the greatest common factor of u and n.
1
Let q be (0/2 - 1)*2. Let w = -2 - q. Suppose 3*y - 551 + 23 = w. Calculate the highest common factor of y and 16.
16
Let s(c) be the second derivative of -10*c**3 + 6*c**2 + 42*c - 2. Let w = -7 - -3. Let f be s(w). Calculate the highest common divisor of 36 and f.
36
Let b = -1028 - -1055. What is the greatest common divisor of 117 and b?
9
Suppose 45*c - 55*c + 7680 = 0. What is the highest common factor of 36 and c?
12
Suppose 2*s = 2*z - 3*z - 116, 2*s - z = -116. Suppose -g = 2, c - 4*g - 43 = -3*g. Let w = c - s. Calculate the highest common divisor of 9 and w.
9
Let w be (-604)/(-24) + (-13)/78. Calculate the highest common divisor of 625 and w.
25
Suppose 34 = -2*k + 66. Suppose 5*g - d - k = 2, d = -5*g + 22. What is the highest common divisor of 4 and g?
4
Let w = 469 - 466. Calculate the highest common factor of 753 and w.
3
Let m = -275 + 295. Calculate the highest common divisor of 100 and m.
20
Suppose -7 + 26 = s - 5*u, -2*s + 4*u + 26 = 0. Suppose m - 3 = v - s, 0 = -4*v + m + 30. Calculate the greatest common divisor of 32 and v.
8
Let a = 178 - 148. Calculate the greatest common divisor of 25 and a.
5
Let t be 3 - (-4 + -23 - -3). Let h = t - 21. Suppose -7*w + h*w + 102 = 0. Calculate the highest common divisor of 34 and w.
34
Let s(f) be the second derivative of -7/2*f**2 - 3*f + 0 - 4/3*f**3. Let y be s(-2). What is the highest common factor of y and 6?
3
Let h(s) = 3 - 4*s**3 - 2*s**3 + 0*s**3 + 5*s**3. Let m be h(4). Let p = 99 + m. Calculate the highest common divisor of p and 57.
19
Suppose 4*m + 5*g - 9 = 155, -5*m = -4*g - 164. Let h = 22 - 18. What is the highest common factor of m and h?
4
Let m = -106 + 214. Calculate the highest common factor of 162 and m.
54
Suppose 5*b + 5*a = 225, 2*b + 5*a - 49 = 56. What is the highest common divisor of 8 and b?
8
Let z be (-7715)/(-7) + (-15)/105. Calculate the greatest common factor of z and 19.
19
Let o be ((-5)/(10/(-6)))/(-1) - -6. Calculate the greatest common divisor of o and 31.
1
Suppose 4*p - 456 - 1404 = 0. Calculate the highest common factor of 45 and p.
15
Suppose 0 = -6*i + 22*
|
{
"pile_set_name": "DM Mathematics"
}
|
prime factors of q.
7, 29
Suppose 2*m = -2*i + 21100, -3*m + 9516 = 4*i - 32679. What are the prime factors of i?
3, 5, 19, 37
Suppose 2*r - 14 = -f, -11*r = -3*f - 6*r - 13. List the prime factors of (4 - 6)/(f/(-302)).
151
Let i = 44 + -53. Let r = -7 - i. Suppose -4*h = -f + 47, 0*f + h - 130 = -r*f. List the prime factors of f.
3, 7
Suppose 5*x = -3*f + 19, 3 = 4*x + 3*f - 11. Suppose 3*l = l + x*v + 1730, -5*l + 4*v = -4291. List the prime factors of l.
3, 5, 19
Suppose 88021 + 340094 = -595*t + 610*t. What are the prime factors of t?
28541
Let n(q) = -q**3 - q**2 - 71*q + 244. List the prime factors of n(-32).
2, 3, 5, 571
Let f(g) = -31*g + 44. Let s = 250 + -256. List the prime factors of f(s).
2, 5, 23
Let m(g) = 101*g - 5405. List the prime factors of m(70).
3, 5, 37
Let q = 109 + -89. Suppose 6*v - q*v = -1260. What are the prime factors of v?
2, 3, 5
Let c(m) = -2489*m**3 - 2*m**2 - 73*m - 142. What are the prime factors of c(-2)?
2, 3, 7, 79
Let b(l) = -13*l - 18. Let a be b(-3). Let z be (a/6)/7*412. Let k = -119 + z. What are the prime factors of k?
3, 29
Let y = 268 + -273. Let x(g) = -3*g**2 - 22*g. List the prime factors of x(y).
5, 7
Suppose u - 84 = -u. Let s = -39 + u. Suppose s*k + 16 = 4*k. What are the prime factors of k?
2
Let a = 47 - 49. Let f be -1*4390 + 16/(-7 + 3). List the prime factors of f/(-52) + a/4.
2, 3, 7
Let u(p) = 6*p**2 - 54*p + 33. What are the prime factors of u(-11)?
3, 11, 41
Let r(p) = p**3 - 16*p**2 + 26*p + 17. Let n = 20 - 5. Let g be r(n). Suppose -5*y + 3*y + g = 0. What are the prime factors of y?
7, 13
Suppose 5*k - 2160 = -21*j + 19*j, -2*j = 2*k - 858. Let m = k + 100. What are the prime factors of m?
2, 3, 89
Suppose -2*w - 836*g + 838*g + 14614 = 0, 0 = 2*w - g - 14618. What are the prime factors of w?
3, 2437
Let h be (3/4)/((-10)/(-120)). Let l(n) = -53 - n + h*n + 2*n. What are the prime factors of l(6)?
7
Let j(i) = 7 - 6 - 22 + 5*i. Let w be j(5). Suppose 10 = -2*v - 0*v, v = w*n - 385. What are the prime factors of n?
5, 19
What are the prime factors of -14*272/(-357)*(74250/(-8))/(-5)?
2, 3, 5, 11
Let n be -48*((-4)/22 - (-39)/33). Suppose 5*s + 5*f = 55, 2*s - f - f = 18. Let h = s - n. What are the prime factors of h?
2, 29
Let w(l) = -35*l**3 - 2*l**2 + 34*l + 82. What are the prime factors of w(-3)?
907
Let y = -368 - -1478. Suppose 3*d - 2*x - y = 0, 2*d + 3*x + 0*x = 753. List the prime factors of d.
2, 3, 31
Suppose -2*q = 5*j - 10, 0 = -2*q + 3*j - 6. Let r be 2/2*-1*q. Suppose 2*a + 32 + 23 = 5*k, r = 3*a - 15. List the prime factors of k.
13
Suppose -20840 + 170202 = 23*h. List the prime factors of h.
2, 17, 191
Let n = -13523 - -19466. What are the prime factors of n?
3, 7, 283
Suppose -r = -4*j - 13433, -5*j = 39 - 34. List the prime factors of r.
13, 1033
Let y = 231 - 227. Suppose y*k = k + 2454. What are the prime factors of k?
2, 409
Let m(z) = -520*z - 1592. What are the prime factors of m(-64)?
2, 17, 233
Let z(v) = -v**3 - 12*v**2 + 2*v - 5. Let k be z(-9). Let w be 3/(2/4*9/(-21)). List the prime factors of k/w*1*4.
2, 19
Let x(a) be the first derivative of -a**4/4 - a**3/3 + a**2 + 7*a + 64. What are the prime factors of x(-2)?
7
Suppose -5*d + 10 = -0. Let n(h) = -h**3 - 16 + 89*h**d - 20*h + 93*h**2 - 192*h**2. What are the prime factors of n(-10)?
2, 23
Let u(c) be the second derivative of c**5/20 + 5*c**4/6 + 13*c**3/6 + 11*c**2 + 8*c. Let l be u(-9). List the prime factors of l/(-21)*474/4.
79
Let y be (8/((-32)/(-6)))/((-6)/(-556)). Suppose 1693 = 2*t + y. Suppose t = 4*r + 181. What are the prime factors of r?
149
Suppose -41*x = -31*x - 1220. Suppose -f = -253 - x. What are the prime factors of f?
3, 5
Suppose 5*p + 714 = -5*h - 481, -2*p = -h - 242. Let y = h + 344. What are the prime factors of y?
2, 13
Let x(b) = -32*b - 16 - 45*b + 91*b - 37*b. List the prime factors of x(-30).
2, 337
Suppose -12 = -2*f - 4*o, 4*f + 0 = 3*o + 2. Suppose -320 = g - 3*g + f*k, -4*g + 638 = -5*k. Suppose 9*w = 10*w - g. What are the prime factors of w?
2, 3
Let m(r) = -33*r + 56. Let s be (-2)/10*-4 - (-6216)/(-370). What are the prime factors of m(s)?
2, 73
Let r = 294 - 162. Let q = r + -124. What are the prime factors of q?
2
Let v(s) = 94*s**3 - 6*s**2 - 5*s + 7. Let d be v(3). Suppose -1460 = -3*r + d. List the prime factors of r.
2, 41
Suppose 5*p - 4*o = 44, -8*o = p - 11*o. Suppose 2*y = -p*y + 16156. List the prime factors of y.
2, 577
Suppose 4*w - 13 + 967 = 3*g, 4*g + 8*w = 1192. What are the prime factors of g?
2, 5, 31
Let q = -2354 + 13060. List the prime factors of q.
2, 53, 101
Suppose -254 = 8*y + 258. Let d = y - -104. What are the prime factors of d?
2, 5
Suppose 5*w = 5*d + 55, 0*w - 5*d = -w + 7. Let n(h) = 2 + 1 + 13*h + 4 - w. What are the prime factors of n(12)?
151
Suppose -11*y = -10*y - 4*b - 5104, 5*y = 3*b + 25384. List the prime factors of y.
2, 317
Suppose -2*t - 33950 = -k, -2*k + 2*t + 27824 + 40076 = 0. List the prime factors of k.
2, 5, 7, 97
Let u(h) = h**2 + 7*h - 37. Suppose -2*d = -0 - 10. Let y be -15*-5*((-16)/d + 3). List the prime factors of u(y).
83
Suppose 3*t - 9*t = 13*t. Suppose -17*j - 3510 = -21*j + 2*m, -4*j - 4*m + 3504 = t. What are the prime factors of j?
877
Let f(s) = s**3 + 9*s**2 + 3*s - 5. Let c = -6 - 2. Let b be f(c). Suppose 2*p = x - 2*p + 1, x = -5*p + b. List the prime factors of x.
3, 5
Let z(y) be the first derivative of y**2/2 - y + 26. Let h be z(3). Suppose 11*i = h*i + 2250. List the prime factors of i.
2, 5
Suppose -3*z + 2*q = 8, -2*z + 3*q - 5*q = -8. Suppose -7*g + 588 = -3*g. Suppose z = -5*j + 23 + g. List the prime factors of j.
2, 17
Let q(u) = -4*u - 15. Let m be q(-5). Suppose 0 = m*k + 4*n + 1701, -3*k - 1031 = -0*k + 5*n. Let x = -202 - k. List the prime factors of x.
3, 5
Let p = 99 - -43. Let t = -130 + p. Suppose -5*s - 4*q = -167, -t*s + 2*q + 144 = -8*s. What are the prime factors of s?
5, 7
Let l(n) = 2*n**3 - 7*n**2 - 8*n. Let o be l(6). Let j(c) = 5*c**2 + 148*c + 353. Let u be j(-27). Suppose -u*g + 50 = -o. List the prime factors of g.
7, 13
Let p(b) = 131 - 33*b - 26*b - b**3 + b**2 + 58*b. What are the prime factors of p(0)?
131
Let w = 10586 + -3700. What are the prime factors of w?
2, 11, 313
Let q(i) = 68*i - 272. Suppose 5*b + 3*u - 126 = 0, -2*b - 3*u = -2*u - 50. List the prime factors of q(b).
2, 5, 17
Let n be 3*(4 - (-7)/(-3)). Suppose -n*s - k = -0*s - 825, -3*s + k + 503 = 0. Suppose 3*l - s = -5*f, -3*l = -3*f - 221 + 47. List the prime factors of l.
3, 19
Let l(z) = 280*z - 1105. List the prime factors of l(14).
5, 563
Let q be 1748/(-23)*2/(-4). Suppose 0 = 12*l - q*l + 2704. List the prime factors of l.
2, 13
Let x be (-14)/84 - 10009*(-2)/12. Suppose 0 = -27*w + 33*w - x. What are the prime factors of w?
2, 139
Let m = 127 + -124. Suppose 2*c - m*v - 8 = 0, 9 = c + 5*v - 4*v. Let w(s) = 6*s**2 - 6*s + 18. List the prime factors of w(c).
2, 3, 5
Let l(x) = -4*x**2 + 2*x - 8. Let d be l(-2). List the prime factors of -216*(77/d - -1).
2, 3, 7
Let n(z) = 82*z**2 + 13*z - 210. List the prime factors of n(7).
7, 557
Suppose 5*k - 28 = -3. Let i(a) = 2*a**3 - 8*a**2 + 5*a - 10. Let n be i(k). Suppose -p + b + n = 0, -2*p + b - 29 + 158 = 0. What are the prime factors of p?
2
Let s = 8105 + 1838. List the prime factors of s.
61, 163
Suppose 102724 = 4*r - 32*k + 7*k, -5*k = -2*r + 51332. What are the prime factors of r?
2, 3, 1069
Suppose -y - 4 = -5*o + 27, o - 4*y = 10. Let k(z) = -9*z + 10. Let t be k(o). Let s = 79 + t. List the prime factors of s.
5, 7
Let f(w) = -16*w - 8. Let j be f(-4). Let l = j - 54. Let t(v) = 22*v**2 - 6*v + 3. List the prime factors of t(l).
79
Suppose -w = -8*w - 56. Let f be (-2)/1*2148/w. Suppose 3*x = f + 234. What are the prime factors of x?
257
Let u(q) = 29*q + 290. Let k be u(-10). Suppose c - 3*y + 12 = k, 15*c + 4*y - 23 = 14*c. List the prime factors of c.
3
Let c = 16141 - 9199. What are the prime factors of c?
2, 3, 13, 89
Let c(o) = -5*o**2 + 3*o**3 - 4*o**3 + 11 + 0*o + 4*o + 3*o. Let a be c(-6). List the prime factors of 1/a - 164/(-5).
3, 11
Let t = 330 - 164. Let b = t - 157. What are the prime factors of b?
3
Let s = 384 - -151. Let a = 342 + s. What are the prime factors of a?
877
Suppose 3*u = -u + 152. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
60))/((4 - 2)/20). Suppose -f*l + 25 + 479 = 0. What is the remainder when 277 is divided by l?
25
Let i(z) = -z**3 + 6*z**2 - 10*z + 8. Let n be i(3). Suppose 2*l - n*y = 49, 3*y = 3*l - 50 - 10. What is the remainder when 67 is divided by l?
16
Let y = 60 + 126. Calculate the remainder when y is divided by 39 + 13/(39/24).
45
Let b = 31 + -63. Calculate the remainder when 21 + -24 - (b + 1) is divided by (-2 + -1)/(14/((-1694)/33)).
6
Suppose -51*a + 90*a + 59*a = 2156. Calculate the remainder when 4001 is divided by a.
19
Let y = -119 - -307. Let d = y + -155. Calculate the remainder when 261 is divided by d.
30
Let u(a) = 2*a**3 - 3*a**2 + 2*a + 405. Let q be u(0). Let v = -385 + q. Calculate the remainder when v is divided by 4/18 + 212/18.
8
Let q(t) = -t**2 + 6*t + 32. Let y = 45 + -21. Suppose -5*g = 5*m - 20, -2*m + 5 + y = -5*g. What is the remainder when q(7) is divided by m?
4
Suppose 3*b + 205*j = 201*j + 1159, -8 = 4*j. Calculate the remainder when b is divided by 76.
9
Suppose -35615 = -43*s - 75*s + 33*s. What is the remainder when s is divided by 97?
31
Let h = -357 + -37. Let w = h + 437. Calculate the remainder when 147 is divided by w.
18
What is the remainder when 568 is divided by 14/665*-5 + (-3120)/(-38)?
76
Suppose 538*a = 519*a + 418. Calculate the remainder when 2/(-1 + 3) + 100 is divided by a.
13
Suppose 3336*b - 3328*b - 152 = 0. Suppose -n - n = 2*x - 120, 4*x - n - 225 = 0. Calculate the remainder when x is divided by b.
0
Let m(q) = 113*q - 3. Suppose c - 1 = 6*c + 2*x, -3*x = 3*c + 6. Let h be m(c). Suppose 2*w - 456 = -h. Calculate the remainder when w is divided by 25.
23
Suppose -4*q = -2*f + 4*f + 88, -5*q - 3*f = 108. Let g = q + 104. Calculate the remainder when g is divided by 23.
11
Let y(u) = -u**2 + 31*u + 31. Suppose 19*v + 122 = 21*v. What is the remainder when y(25) is divided by v?
59
Suppose -1376 = -5*t - 3*t. Calculate the remainder when t is divided by (-6)/(-10) + (-11176)/(-440).
16
Let k(s) be the first derivative of s**3 + 15*s**2/2 + 10*s + 69. What is the remainder when 28 is divided by k(-5)?
8
Let p be 10*((-2)/(-4) - (-15 + 15)). Suppose p*c = 188 - 68. Suppose -h = h - c. Calculate the remainder when 31 is divided by h.
7
Let d = 15 + -9. Suppose -2*c = 3*s + 35, c + 14 + d = -4*s. What is the remainder when 57 is divided by (c/(-10))/(12/90)?
9
Let g be (0 - -4)*(-5)/(-4). Suppose 0 = -0*m - g*m, 5*m - 351 = -3*h. Suppose -54*i - 2561 = -397*i + 11159. Calculate the remainder when h is divided by i.
37
What is the remainder when (-2)/11 + ((-12519)/52)/((-121)/176) is divided by 8?
6
Let j = -1084 + 1110. What is the remainder when 309 is divided by j?
23
Let c = 15828 - 10397. What is the remainder when c is divided by 22?
19
Suppose 0 = 2*c - 12 + 6, -5*t = -c - 22. What is the remainder when 6157 is divided by t?
2
Suppose -6*y + 2*z + 14 = -4*y, 2*y - 3*z - 10 = 0. Let s(u) = 27*u - 2. Calculate the remainder when s(2) is divided by y.
8
Let w(c) = 18*c + 8. Let a = -7 - -9. Let d be w(a). Suppose -t + d = -44. Calculate the remainder when t is divided by 18.
16
Let o = -91 + 96. Suppose -4*h + 252 = o*h. Calculate the remainder when 80 is divided by h.
24
Suppose -5*o = 2*n + 2*n - 20, 3*n = -3*o + 15. Suppose 0 = 2*q - 5*i - 103, 19 = q - n*i - 45. What is the remainder when q is divided by 14?
11
Suppose 12 = -9*p + 3*p. Suppose 5*x - 41 = 54. Calculate the remainder when (111/p)/(-3)*2 is divided by x.
18
Let x = -24 - -22. Let s(u) = -5*u - 10. Let r be s(x). Suppose -2*b = -5*y - 48, 5*b = y - r*y + 166. Calculate the remainder when 129 is divided by b.
27
Let a(z) = 8*z + 2. Suppose w + 3*j + 12 = 3, 2*w = -2*j - 14. Calculate the remainder when (-4 - -11 - 4)*(-200)/w is divided by a(4).
32
Let n(m) = 65*m + 2700. What is the remainder when 3008 is divided by n(-41)?
33
Let f = -11 - -8. Let l = -56 + 52. Calculate the remainder when 8/f*(l - 205/20) is divided by 21.
17
Let v = 12460 - 12298. What is the remainder when v is divided by 59?
44
Let t(d) = d**2 + 3*d - 718. What is the remainder when 322 is divided by t(-31)?
22
Let m(l) = -l**2 + 3*l + 18. Let i be m(5). Suppose h + 553 = i*h. Let t = 32 - 23. Calculate the remainder when h is divided by t.
7
Let s be (15/(-10))/(((-21)/30)/(-7)). Let v(j) = -j**3 - 17*j**2 - 32*j - 18. Suppose -3*d - 2*d + 35 = 0. What is the remainder when v(s) is divided by d?
5
Calculate the remainder when (-18328)/(-237) + 22/6 is divided by 8.
1
Let v(o) = 3*o**3 - 136*o**2 - 223*o + 16. What is the remainder when v(47) is divided by 188?
16
Calculate the remainder when 873 is divided by -9 + -5 + 228/4 + 8.
6
Let t(o) = -7*o**3 + o**2 - 100*o - 100. What is the remainder when t(-1) is divided by (2 - -3) + 3*-1?
0
Suppose -3*j - 2*p - 50 = 0, 18 + 74 = -5*j + p. What is the remainder when 26*((-22)/(-14) + (-3)/(-7)) is divided by j/(2 - (8 + -4))?
7
Suppose 51 + 5 = -8*r. Suppose -n - 4*j = -44, 5*j - j = 12. What is the remainder when 38*(2 - (r/2 - -3)) is divided by n?
31
Let h(q) = -5*q - 7. Suppose -29*v + 41 + 2540 = 0. Calculate the remainder when v is divided by h(-6).
20
Suppose 3*t + 48*c - 44*c + 80 = 0, -5*t + 5*c = 110. Let r be (-33)/4 + (-1)/(-4). Let q = r - t. Calculate the remainder when 41 is divided by q.
9
Let d(x) = 37*x**2 + 215*x + 1. Suppose 0 = 4*y - 3*z + 6 + 9, y - 20 = -4*z. Let n = 16 - y. Calculate the remainder when d(-6) is divided by n.
11
Suppose 0 = 4*d + 2*v - 62, 5*d + 86 - 163 = -3*v. Suppose -23*t + 1088 = -1672. Calculate the remainder when t is divided by d.
8
Let i be (14/(-28))/((-3)/24). Suppose 0 = 5*r - i*d - 43, 3*r + 5*d = 3*d + 39. What is the remainder when r is divided by ((-4)/6)/(6/(-45))?
1
Suppose -p + 5*y + 375 = -499, -25 = -5*y. What is the remainder when p is divided by 22?
19
Let j(x) = -141*x**3 + 9*x**2 - 23*x - 30. What is the remainder when j(-1) is divided by 38?
29
Suppose 124 = 3*f + m, -37*f + 39*f + 5*m = 87. Calculate the remainder when 4877 is divided by f.
39
Let i(g) = -927*g**2 - 7439*g - 14. Calculate the remainder when 172 is divided by i(-8).
2
Suppose -j + 5*s + 1219 = 0, 5*s - 129 + 2537 = 2*j. Calculate the remainder when j is divided by 590.
9
Let v(s) be the second derivative of -41*s - 1/6*s**3 + 4*s**2 + 0. What is the remainder when v(-4) is divided by 8?
4
Let c(f) be the second derivative of 1/12*f**4 + 0 + 1/6*f**3 + 5*f**2 - 14*f. Calculate the remainder when c(-8) is divided by 35.
31
Suppose 4452 = 36*g - 31*g - t, -3*g - 4*t + 2685 = 0. Calculate the remainder when g is divided by 296.
3
Let l(i) = 5*i + 345. Let y(v) = -v + 29. What is the remainder when y(0) is divided by l(-65)?
9
Let o = 41 + -95. Let q = 30 + o. Let n = 49 + q. What is the remainder when 48 is divided by n?
23
Let m(f) = -28*f. What is the remainder when m(-6) is divided by ((-2034)/(-72) - 7)/((-10)/(-16))?
32
Let n(m) = 2*m**2 - 487*m - 5419. Suppose -d - 248 = -5*d. Calculate the remainder when n(-11) is divided by d.
56
Suppose 5*y = 4*s + 161, 5*y - 24*s - 165 = -19*s. What is the remainder when y is divided by 13?
3
Suppose -4*p - 5*s + 1396 = -1693, -p = 4*s - 786. Suppose 6*d = 794 + p. What is the remainder when d is divided by 11?
7
Let p be 3*((-10)/(-15))/(4/6). Suppose r + p*f + 3 - 2 = 0, -2*r + 14 = -2*f. Suppose r*v = 217 + 13. What is the remainder when v is divided by 12?
10
Let t(s) = -8*s + 331. Calculate the remainder when 6369 is divided by t(30).
90
Let o be 1 + (7/14)/((-4)/16). Calculate the remainder when (o - 4) + -4 + 4 + 347 is divided by 49.
48
Suppose -3*a = 2*a + 3*d - 50, 3*a - 30 = 5*d. Suppose 0 = -2*k - 44 + a. Let g = 27 + k. What is the remainder when g is divided by 5?
0
Suppose -t - 2*u = -122, -3*u + 129 = t - 0*u. Calculate the remainder when 108 is divided by t.
0
Let x be (-16)/(-3) - 12/9. Suppose 2*q = -0*q + x. Suppose -2*i = -3*s - 53, q*i - 2*s + s - 43 = 0. What is the remainder when i is divided by 10?
9
Suppose 0 = 4*t - 71 - 73. Suppose -3121 = -28*b + 1492 + 1351. Calculate the remainder when b is divided by t.
33
Let y(f) = -23*f - 678. What is the remainder when 124 is divided by y(-30)?
4
Let u be 146/(-30) + 5 + 17/(-15). Calculate the remainder when 461 is divided by u*(1 - -7)*(54 + -56).
13
Suppose -6*c
|
{
"pile_set_name": "DM Mathematics"
}
|
94)/(-14) + 1695/(-2373)?
6
What is (-19)/(1520/(-110)) + 6/(-16)?
1
3/(-4)*120/(-54)*6
10
What is 2355/(-1413)*6/(-7)?
10/7
Evaluate (2/(-6) + -4)/((-6)/(-18)).
-13
What is (3 + 40/(-2))*(-1 - 0)?
17
Calculate 950/1575 - (-40)/(-45).
-2/7
Evaluate (2/126)/(26/674) - (-4257)/(-9933).
-2/117
Calculate 4/(-7) + (-71550)/(-9450).
7
What is 1302/(-1674)*(-3)/35?
1/15
Evaluate ((-23850)/(-10335))/(14/13).
15/7
Evaluate ((-45)/(-54))/(17/102).
5
What is the value of -11*5/55*16*1?
-16
What is the value of 1/(-13) + (-9108)/(-203918)?
-1/31
Evaluate (13/4)/(1/(-8) - (-173)/(-1384)).
-13
(-264)/(-154)*(-7)/22
-6/11
What is -14*2115/(-4410) - 7?
-2/7
What is the value of (-7 - 660/(-90))/(-1 - 23/(-36))?
-12/13
Evaluate -48 - (-816)/18 - 22/3.
-10
Calculate (619837/(-380))/(-101) + -16.
3/20
Evaluate (-28)/(-49) + (16/21 - 0).
4/3
Evaluate 52896/38570*(-3)/(36/(-15)).
12/7
What is the value of ((-2493)/1385)/((-27)/(-5))?
-1/3
2/42 - (6/(-4) - (-2616)/2016)
1/4
Calculate (0 - -1)/((-21)/84).
-4
What is the value of (3/18)/((-23)/(-92))?
2/3
What is ((-6)/(-3))/(((-1152)/162)/32)?
-9
(1120/62 - 8) + (-10)/155
10
What is the value of (12/(-792))/(-7 + (-58)/(-8))?
-2/33
((-104)/520)/(-3 + (-1022)/(-340))
-34
What is the value of (-104004)/(-130005)*((-66)/(-184) + 2/(-8))?
2/23
Evaluate 24/(-4) + 366/60.
1/10
Evaluate (-610)/61*(-8)/(-112).
-5/7
Calculate ((-21)/518)/(9 - 390/40).
2/37
Calculate -6*(10 + (-392)/48 - 1).
-5
What is the value of ((-9)/1305)/(26/(-455))*16/(-28)?
-2/29
Evaluate (-30)/(-6) - (-5 + 14)*-1.
14
What is the value of (24/(-18))/((-4)/18) - (-2145)/(-351)?
-1/9
What is the value of 16895/(-59950) + 2/20?
-2/11
What is the value of (7/(-18))/(311/(-1866))?
7/3
((4/35)/((171/90)/(-19)))/(-2)
4/7
Evaluate -5*(0 - -1)*(-13 + 14).
-5
Evaluate 12/(-8) - (-14)/(1680/225).
3/8
Calculate (-2 + -3 + 11 + -4)/((-26)/(-4)).
4/13
Evaluate 2 - (-3 - (10 - (6 - 4))).
13
Evaluate 2/62*(-42 + 2185/38).
1/2
Calculate (-171)/(4788/(-224))*(4 + 1).
40
8*(18 + (-4 - 15))
-8
Calculate -29 - -26 - (636/36 - (-3)/9).
-21
250/(-225)*144/(-32)
5
What is (3 - (-912)/(-312))*2?
2/13
-8 + 976/(-36)*(-15)/50
2/15
What is the value of (-1050)/(-50) - (-5 - (5 - 15))?
16
Calculate 8/(-12) + -3*403/(-234).
9/2
(-88)/330*(2 - (-116)/(-16))
7/5
(-37 - -36) + ((-4)/2 - -2)
-1
What is the value of (-1)/4*(1176 + -1175)?
-1/4
(-2 + 4)/2 + (-460)/38 + 11
-2/19
What is (-756)/(-324) - (-68)/(-6)?
-9
Evaluate 38/252 - (-34)/(-153).
-1/14
What is the value of -12*(-5)/(-70)*(-196)/252?
2/3
(-484)/(-32) - (15 - 18) - (-3)/(-24)
18
What is the value of 58 + -16 + (-2691)/65?
3/5
Evaluate (-81)/12 + 195/(-104)*30/(-75).
-6
What is (-12)/((198/12)/11)?
-8
What is 20/6 + 4 - (2 + (7 - 3))?
4/3
What is the value of (220/(-99))/(-10) - (275/(-99) - -1)?
2
(-1 + 25/5)*(63/36)/(-1)
-7
Calculate (-606)/909 - 31/(-24).
5/8
(-1057)/525*6 + -6 + 18
-2/25
Calculate (34/4199*19)/(-2 + 6).
1/26
What is (-1 - -1) + (2485/1540 - 4/11)?
5/4
What is the value of -6 + 0 - (13 - 25)?
6
What is -46 + 34 + (8 - (-40)/12)?
-2/3
1090/(-327)*(-24)/(-10)
-8
What is 242/429*5538/284?
11
What is 20*12/(-20) + (-8)/4?
-14
Calculate ((-600)/80)/(1 - (-14)/(-24)).
-18
What is the value of (15/(-4))/((1 + 49)/200)?
-15
Evaluate (-1 + -11)/(6/(-33) - (-336)/154).
-6
Calculate (110/(-25) - -5)/(-167 + 182).
1/25
Evaluate 31 + -41 - (-2 - 96/14).
-8/7
What is 22 + 11 + -18 + -26?
-11
What is -14 + 64/(-352) + (-1184)/(-99)?
-20/9
Calculate 3 - 475/136 - (540/96 + -6).
-2/17
What is (-2)/14*(18/(-2) - 0/26)?
9/7
What is the value of ((-6)/(-33))/(4 + 1 + 1 + -9)?
-2/33
20 + (-26 - 23)/7
13
Evaluate -33 - (-73488)/2184 - (75/21 - 3).
1/13
What is the value of ((-180)/2970)/(112/44)?
-1/42
Evaluate ((-1)/(75/6))/(4 + 16/(-5)).
-1/10
What is ((-52)/8)/(((-1260)/(-24))/15)?
-13/7
2 - 5*(-6)/(-15) - 912/48
-19
What is (-9)/(-5)*1/15*(-1625)/(-260)?
3/4
What is (-42)/35*(31/93 - (-38)/6)?
-8
Evaluate 858/(-77) + (-2 - -13).
-1/7
Calculate (48/(-56))/(152/(-266)).
3/2
52/390*2*2/(-24)
-1/45
What is the value of (36 - 10192/168)/((-4)/(-6))?
-37
What is the value of (-2)/(-10)*(91 - 90)*(-1 + -3)?
-4/5
Evaluate (13/((-1872)/80)*-3)/((-2)/(-6)).
5
Evaluate -11 - 660/99*((-88)/(-16) - 4).
-21
37/((-6216)/(-16))*(4 - 1)
2/7
47 - 1 - (34 - 55 - -36)
31
What is the value of 4816/368 - (2/(-8) + (-1519)/(-4508))?
13
What is the value of ((-7)/10)/7*(10 + 8/(-1))?
-1/5
Calculate (-135)/216 + 6/16.
-1/4
What is the value of (-6)/(-9)*(10 - 1892/188)?
-2/47
17/17*58/(-1131)
-2/39
What is the value of -16*(-10)/(-40)*-1?
4
What is the value of 637/(-98) - (-230)/40?
-3/4
What is (68/(-15 - 2))/50?
-2/25
What is ((-6)/(-16) - (-854)/112)*(16 - 13)?
24
Calculate (12/(-3) + (-32)/(-7))*(-25)/150.
-2/21
Evaluate 10/(-35) + 33*8/(-105) + 6.
16/5
Calculate 405/(-243) - 2156/(-66).
31
1438/1212 + 3396/(-171498)
7/6
Calculate 7/(-49)*21/(-12).
1/4
Calculate (-253)/(-12*539/588).
23
(68/(-136))/(1098/156 - 7)
-13
What is 4 - 1 - (-34)/(-136)*-64?
19
What is (-1128)/235 - 2047/(-115)?
13
What is the value of (96/(-1216))/((8 - 4)/16)?
-6/19
What is the value of (54378/288)/19 + (-2)/(-32)?
10
Calculate (-12338)/(-1990) - (-57)/(-15).
12/5
What is (-20280)/(-10647)*48/(-20)?
-32/7
What is the value of (-42)/(-10) + ((-574)/70)/41?
4
Calculate (((-1)/(-8))/(26/52))/(3/(-36)).
-3
Calculate 63/153*(45/(-140))/(-9)*8.
2/17
What is the value of (-10)/(-4)*4/34*17?
5
((-9)/((-351)/(-39)))/((1/3)/1)
-3
What is the value of (52/20 - 4)*(5 - 80/4)?
21
What is the value of (-1)/(-5) - 186/(-45) - 4/12?
4
What is ((-175)/400)/(14/224)?
-7
Evaluate (22 - (-917)/(-42))/((-1)/5) + 1.
1/6
Evaluate (1/1)/(95/437*(-12)/(-60)).
23
What is (-8)/4 - 240/(-110)?
2/11
What is the value of 1312/(-32) - (-72)/3?
-17
What is (132/(-198))/((-1010)/255 - -4)?
-17
Evaluate ((836/20)/(-11) + 4)/(2/80).
8
-130 + 120 + (10 - 5)
-5
What is (-36)/(-13)*-5 + (4 - 162/39)?
-14
Evaluate (8/2)/(1574/(-5509)).
-14
What is the value of (-9)/12*(45 + -35 + -8)?
-3/2
What is the value of (0 - 10/2)/(-4 - -7)?
-5/3
What is (-30 - -28)*9/6?
-3
3681/(-4908)*64/6
-8
What is (-54)/6 - (-25 - 35/(-5))?
9
What is (66/24 + -2)*19/(152/96)?
9
Calculate (0 + -54)/((-4)/26 - (-4648)/2158).
-27
What is the value of (-8)/30*1580/(-474)?
8/9
(-11)/(-616)*-126 + (-1*1 - -3)
-1/4
Evaluate 6/336*7 - ((-426)/48 + 3).
6
What is ((-3)/(-7) - 3)/(96/448)?
-12
Calculate 1349/(-1045) - (2 - (-128)/(-40)).
-1/11
What is 59/7 - (-280)/(-196) - (-2 - -7)?
2
Evaluate 74/(-27) - (-4)/(-36)*-24.
-2/27
Evaluate (-5)/(-4) + (3388/(-112) - -14).
-15
Calculate (-3)/(-4) + (-968)/1376.
2/43
What is (2392/897)/(20/6)?
4/5
Calculate (8/(-10))/((-5)/75).
12
Evaluate (72/(-2754)*17)/(2/(-45)).
10
What is the value of 30562/(-2065) + 1/(-5)?
-15
What is 12/2 + 12934/(-2007)?
-4/9
11*(-516)/132 + 10
-33
(8 - 10/(-10)) + (1 - -3)
13
What is 3/((-27)/(-6) - 32/(-64))?
3/5
Calculate (79/316)/((-1)/(2 - 142)).
35
What is (20 - -1)*(-13 + 12)?
-21
Evaluate (-1 - (-63)/77) + 1190/(-1925).
-4/5
What is 8/(-20) - (-10 + (-6276)/(-660))?
1/11
(49/(-28))/(4/(-16))
7
What is the value of (-2092)/2615 + (-18)/(-10)?
1
(-4)/62*(102 + 18655/(-182))
1/31
Calculate ((7/791)/((-9)/27))/(12/8).
-2/113
What is (-2)/49 + (-1944)/392 + -9?
-14
Calculate -4*(-1 + 0) + -13 + -3 + 13.
1
(2/((-78)/30 + 3))/((-92)/460)
-25
((-2)/(-5))/((-6)/(-5)) + (-339)/791
-2/21
Evaluate ((-3)/(-4))/((-4800)/(-1280)).
1/5
What is ((-1440)/84)/(-5) - 6?
-18/7
Evaluate -6 - (56/(-24))/(-3*4/36).
-13
Calculate ((-470)/(-40) - 9)/((-45)/36).
-11/5
Calculate ((-28)/(-2))/(-2) - 3/18*-22.
-10/3
Evaluate (-8)/3*-3*1400/(-400).
-28
What is 2/(-6) - (-11)/(264/80)?
3
What is (5 - -6) + 57/(-6) + 10/(-4)?
-1
What is (-434)/620*(-9)/21?
3/10
What is 15*27/1215 - 13/3?
-4
What is 16/(-3)*(-132)/(-836)*38?
-32
What is the value of -3 + 46*40/665 + (-4)/(-14)?
1/19
Calculate (9/((-567)/(-6)))/((-77)/21 - -4).
2/7
What is the value of 204/(-30) + (21 - 13 - 2)?
-4/5
Calculate (6/8)/((-981)/872)*(-30)/(-4).
-5
What is -3 + 1 - (-2 + 0) - 134/(-1675)?
2/25
Evaluate ((-3)/(-15))/(506/(-33) + 15).
-3/5
What is the value of 334/26 + 390/2535?
13
(-21302)/266275 - (2/7 - 7128/350)
20
Calculate (0 - 8/(-68)) + 2075/42330.
1/6
11*((10/1 - 3) + -6)
11
(-27)/(-18) + 17 - 4/8
|
{
"pile_set_name": "DM Mathematics"
}
|
+ c*o + 6 = 0. List the prime factors of (-4 - o)/((-1)/5).
5
Let y(u) = 13*u + 25. List the prime factors of y(11).
2, 3, 7
Let f be 14 - (2/(-2) + 1). Suppose m + 2*p - f = -3*p, 0 = -p. List the prime factors of m.
2, 7
Let s(k) = 2*k**2 + 4*k + 3. Let o be s(-2). Suppose 5*b + c + o*c - 75 = 0, 1 = -b - 4*c. What are the prime factors of b?
19
Let w = 46 - 13. What are the prime factors of w?
3, 11
Let o(k) = -k**3 + 4*k**2 + 4*k + 3. Let z be o(6). List the prime factors of 345/27 - 10/z.
13
What are the prime factors of 5/15*(-234)/(-3)?
2, 13
Suppose 0*z - 12 = -3*z. Let b be (8 - 2)/(6/z). Suppose 3*g + 3*o - 32 = o, b*o + 46 = 5*g. What are the prime factors of g?
2, 5
Suppose g = -3*t + 6, -t = 3*g + 2*g + 12. What are the prime factors of (-1 + t)/(4/76)?
2, 19
Let l = 1 - -2. Suppose l*b = -b. Suppose -3*h = 5*f + 2*h, b = -5*h - 15. List the prime factors of f.
3
What are the prime factors of 0 + 4/(-2 - -4)?
2
Suppose f = 2*f - 16. Suppose 5*w = 5*l, 0*w - 4*w + f = 4*l. List the prime factors of w/(-7) - 90/(-21).
2
Let y be (20/(-25))/((-2)/5). Suppose 2*n = 14 + y. List the prime factors of n.
2
Suppose y + 34 = 5*g + 4*y, -g = -4*y + 7. Suppose 5*p - 250 - g = 0. Suppose 4*n - p = 1. What are the prime factors of n?
13
Let h(g) = -5*g - 3. What are the prime factors of h(-6)?
3
Let l(h) = -16*h**2 - 16*h + 26. Let f(y) = -3*y**2 - 3*y + 5. Let d(v) = -11*f(v) + 2*l(v). What are the prime factors of d(-5)?
17
Let h = -3 - -4. Let t be -3*(h - 15/9). Suppose 4*q = -t*y + 42, -1 = -q + 2*y + 7. List the prime factors of q.
2, 5
Suppose -2*z = -t + 5*t - 278, t + 3*z - 57 = 0. What are the prime factors of t?
2, 3
Let z be (0 + 174/2)*1. Suppose 37 = 2*v - 5*y, -2*v + 5*y = -4*v + z. What are the prime factors of v?
31
Let d(u) = u**2 + 13*u + 14. Let s be d(-12). Let i(j) = -5*j**s - 3*j**3 - 5*j - 2*j**3 + 1 + 6*j**3 + 1. List the prime factors of i(6).
2
Let p(a) = -a + 6. Let s(g) = -g + 5. Let i be s(10). What are the prime factors of p(i)?
11
Suppose -2*g = 3*g - 75. Suppose 3*u = 4*u + 4*a - 10, 0 = -u + 5*a - 26. Let i = u + g. List the prime factors of i.
3
Let x(z) = z**2 - 8*z - 1. Let j be x(8). Let i(v) = -26*v**3 + 2*v + 2. List the prime factors of i(j).
2, 13
List the prime factors of 0 + (-404)/(-8) + 2/(-4).
2, 5
Let b(k) = k**2 - 4*k - 2. Let m be -1 + -1 - (1 - 6). Let z be b(m). List the prime factors of z/((0 + 1)/(-1)).
5
Let y = 20 + -11. Let k = y + 8. List the prime factors of k.
17
Let w = 8 - 3. Let a(z) = -w*z - 3*z + 11 + 10*z**2 - 3*z + z**3 + 0*z. What are the prime factors of a(-11)?
11
Suppose 3*o + 4 - 13 = 0. Suppose -o*i + 6 = -21. What are the prime factors of i?
3
Suppose 12 = -2*h - 5*i, -2*i - 3*i - 28 = -2*h. Let y(k) = 0 - k**3 + k + 5*k**2 - 2 - 2*k. What are the prime factors of y(h)?
2, 5
Let q(d) = -d**2 + 6*d - 4. Let j be (3/2)/((-5)/(-10)). List the prime factors of q(j).
5
Let v = -7 - -10. Suppose -35 = -v*y - 2*y. Let j = 17 - y. List the prime factors of j.
2, 5
Let h be -2 - (0 + -1 - -1). Let k be 32/2 - (h + 4). Let d = k - 4. What are the prime factors of d?
2, 5
Let v = -29 + 17. Suppose 0*o = 2*o. Let y = o - v. What are the prime factors of y?
2, 3
Let m = -72 + 110. What are the prime factors of m?
2, 19
Suppose j + 1 - 5 = 0. Suppose 21 + 39 = j*f. What are the prime factors of f?
3, 5
Let v(w) be the first derivative of w**4/2 - 2*w**3/3 - 3*w**2/2 - 4*w + 2. Let c be v(3). Let t = -13 + c. What are the prime factors of t?
2, 5
Let v(t) = -t**3 - 4*t**2 - 2*t. Let s be v(-5). Let x = -19 + s. What are the prime factors of x?
2
List the prime factors of 3/9 - (-2276)/12.
2, 5, 19
Let u = -207 - -350. List the prime factors of u.
11, 13
List the prime factors of (-116)/(-6)*9/6.
29
Let c(h) = 8*h**2 - 2*h**2 + h**2 + 3*h - 1. Let g be c(2). Suppose q + 0*o = -o + 12, 5*q - g = 4*o. List the prime factors of q.
3
Let g = 6 - 11. Let h = -2 - g. Suppose -h*f - 7 = -52. What are the prime factors of f?
3, 5
Let b(y) = -9*y. Let i be b(-2). List the prime factors of i/63 + (-192)/(-14).
2, 7
Let b(z) = -z**3 + 6*z**2 - 6*z + 3. Let d be b(5). Let f = 0 + d. List the prime factors of f/(0 + 1 + -2).
2
Suppose 32 + 31 = l. Suppose -5*b + 72 = -l. What are the prime factors of b?
3
Let p be 5 - 6/(2 - 0). Suppose 3*x - f + p*f = 52, 4*x - 61 = -3*f. What are the prime factors of x?
19
Suppose 0 = -4*g + 502 + 614. List the prime factors of g.
3, 31
Suppose 45 = v + 5*d, 4*v - 92 = -5*d + 73. Suppose -5 - v = 3*b. What are the prime factors of (b/10)/((-3)/32)?
2
Let y be (-1)/(-2)*-6 - 6. Let v = y - -15. What are the prime factors of v?
2, 3
Suppose -4*u - p + 68 = -0*p, -40 = -3*u + 2*p. Suppose -r + u = -34. Suppose 0*f = -5*f + r. What are the prime factors of f?
2, 5
Let j = -33 + 58. What are the prime factors of j?
5
Suppose a + 1 - 35 = 0. List the prime factors of a.
2, 17
Let w(o) = -5*o - 4. Let s be w(-4). Suppose 3*k + 4 = 2*u, 0 = 2*k - 4*u - 0*u + s. List the prime factors of k.
2
List the prime factors of (-772)/(-16) + (-1)/4.
2, 3
Suppose 0 = -4*j - 4*m - m + 194, -4*j + 5*m + 214 = 0. What are the prime factors of j?
3, 17
Suppose 0 = -2*z - 21 + 115. What are the prime factors of z?
47
Let b be (2 + (-2 - -1))*0. Suppose b = d - 4 - 10. What are the prime factors of d/6 + (-6)/(-9)?
3
Let c be 82/(-1 - 4/4). Let q = 68 + c. List the prime factors of q.
3
Let p = 112 + 109. List the prime factors of p.
13, 17
What are the prime factors of 123 + 20 - (-1 - (-2 - -3))?
5, 29
Suppose 13 = 3*m + 55. Let b = -6 - m. Suppose -5*q + b = -3*q. List the prime factors of q.
2
Suppose -19 = -2*l + 5. List the prime factors of l.
2, 3
Let p(z) be the third derivative of 5*z**4/3 + 3*z**2. Let f(g) = 13*g. Let j(s) = -7*f(s) + 2*p(s). List the prime factors of j(-1).
11
Let t = 17 - 13. Suppose -t*o + 17 = -43. List the prime factors of o.
3, 5
Let s be 1 - (-37)/(-2)*-2. Let l = s + -26. What are the prime factors of l?
2, 3
Let m(p) = 8*p**2 + 5*p - 1. List the prime factors of m(2).
41
Let k(v) = -11*v. Suppose 0 = 2*f + 5*w - 18, -w = -3 + 1. Suppose 0 = 4*j + 8 - f. What are the prime factors of k(j)?
11
Let j = 8 - 8. Suppose 0 = -j*a - 4*a + 164. Let g = a - 29. What are the prime factors of g?
2, 3
Let n = 7 + 29. Let p be ((-2)/(-2) - 1)/(-2). Suppose 0 = 3*x, 2*s + p*s - 4*x = n. List the prime factors of s.
2, 3
Let w(t) = t**3 - 7*t**2 - 1. Let r be w(7). List the prime factors of 3/((-1)/(r/1)).
3
Let j = -81 - -154. Let x = j - 51. List the prime factors of x.
2, 11
Let p be (4/(-2))/(-2 + 1). Let b = 3 - p. Suppose b - 24 = -w - 5*f, -2*f - 22 = -2*w. What are the prime factors of w?
13
Suppose -2*i + 4 = 5*h, h + 3*h + 8 = 4*i. Suppose -k + 5*k + 12 = h. Let t = 20 + k. What are the prime factors of t?
17
List the prime factors of -1*((-8)/(-4 + 8) + -193).
3, 5, 13
Let y = -14 + 0. Let o = 28 + y. List the prime factors of o.
2, 7
Let i = 3 + -1. Let w = 7 + i. What are the prime factors of w?
3
Let w be 4 - (0 - (0 - 1)). Let x(g) = 4*g**3 - 3*g**w + 2*g**2 + 5*g**2 + 9 + 4*g. List the prime factors of x(-6).
3, 7
Let c(v) = -3*v + 9 + 0*v + 4*v + 0*v. Suppose 0*a - 5*h = a - 21, 0 = -2*a + 2*h - 18. What are the prime factors of c(a)?
5
Let r(v) = 8*v + 14. List the prime factors of r(16).
2, 71
List the prime factors of ((-18)/(-8))/((-4)/(-32)).
2, 3
Let u = 64 + 293. What are the prime factors of u?
3, 7, 17
Let m(w) = w**3 - w + 5. Let k be m(0). Suppose -k*a - 5*c + c + 22 = 0, -a - 3*c = 0. Let v = a - 3. What are the prime factors of v?
3
Suppose 3*d + 4*i - 220 = -0*i, 4*i = -4*d + 292. What are the prime factors of d?
2, 3
Suppose 1 + 35 = 3*n. Suppose z + n = 3*z. List the prime factors of z.
2, 3
Suppose -2*m = -4*m. Suppose m = 3*w + 6 + 3. Let d = w + 23. What are the prime factors of d?
2, 5
What are the prime factors of (-1)/2*-367 - 1/2?
3, 61
Suppose 3*d - 43 = 17. Suppose 0 = u + 3*u - d. Suppose 5*k + 25 = h, -5*h + 35 = -2*h - u*k. What are the prime factors of h?
5
Suppose -4*w = -2*y + 82, -2*w - 53 = 5*y + 6. Let a = 36 + w. What are the prime factors of a?
2, 7
Let u = -4 + 1. List the prime factors of (1 - (7 + u))*-2.
2, 3
Let o be (-6)/21 - 205/(-7). Let s be -4*3/(-12)*o. Let d = 43 - s. What are the prime factors of
|
{
"pile_set_name": "DM Mathematics"
}
|
et j(k) = 5*k**2 - 3*k + 0 + k**2 - 3 - 4*k**3. Let c(y) = r*j(y) + 3*v(y). Factor c(t).
-t**2*(t - 3)
Let r be 128 + (-5 - (-30)/2). Let y be r/(-23) + (6 - 0). Factor 0 + y*p - 2/3*p**4 - 2*p**2 - 8/3*p**3.
-2*p**2*(p + 1)*(p + 3)/3
Let d(v) be the second derivative of -v**6/15 + 6*v**5/5 - 25*v**4/3 + 28*v**3 - 45*v**2 - v + 1605. Factor d(l).
-2*(l - 5)*(l - 3)**2*(l - 1)
Let i(m) = -m**3 + 11*m**2 + 18*m - 68. Let z be i(12). Suppose 300*v**2 + 350*v**2 + 50*v**3 - 785*v**2 - 5*v**z + 90*v = 0. What is v?
0, 1, 3, 6
Let x(u) = -60*u**2 + 43208*u - 38880008. Let n(l) = 22*l**2 - 14403*l + 12960003. Let r(s) = 8*n(s) + 3*x(s). Factor r(c).
-4*(c - 1800)**2
Let y(x) = 7*x**3 - 45*x**2 - 7*x. Let k(v) = 20*v**3 - 134*v**2 - 28*v. Let m(s) = -5*k(s) + 14*y(s). Find r such that m(r) = 0.
-1, 0, 21
Suppose -u + 3 = k + 2, -2*k + 2 = 3*u. Let w be (29 + -1)*1*k. Let 696*x**5 + 4*x**2 - 716*x**5 - 10*x - 12*x**4 + 8*x**2 + 2*x + w*x**3 = 0. What is x?
-1, 0, 2/5, 1
Let z(n) be the second derivative of -n**4/18 - 17*n**3/9 - 52*n**2/3 - 2114*n. Determine y, given that z(y) = 0.
-13, -4
Let h be 3/(-6)*(90/(-36) + 1). Let j(k) be the second derivative of -h*k**2 - 21*k - 5/24*k**3 + 0 + 1/80*k**5 + 1/24*k**4. Factor j(i).
(i - 2)*(i + 1)*(i + 3)/4
Suppose -2*s = 2*c + 2, 7*c - 2*c - 2*s - 2 = 0. Let t(p) be the first derivative of -3/25*p**5 - 13 + c*p + 1/5*p**3 + 3/10*p**2 - 3/20*p**4. Factor t(g).
-3*g*(g - 1)*(g + 1)**2/5
Let z(b) be the first derivative of 0*b**2 + 4/51*b**3 - 2/17*b - 186 + 0*b**4 - 2/85*b**5. What is m in z(m) = 0?
-1, 1
Let p(r) be the first derivative of r**4/8 + 16*r**3/3 + 285*r**2/4 + 225*r - 10979. What is d in p(d) = 0?
-15, -2
Let d(h) be the second derivative of 0*h**2 - 2*h**3 - 27*h - 17/16*h**4 + 0 - 3/80*h**5. Determine a so that d(a) = 0.
-16, -1, 0
Let u(w) = 14*w**3 - 93*w**2 + 366*w - 607. Let h(f) = -15*f**3 + 95*f**2 - 365*f + 605. Let i(x) = -9*h(x) - 10*u(x). Factor i(n).
-5*(n - 5)**3
Let y(i) be the first derivative of -9*i**4/4 - 233*i**3/2 - 1767*i**2 - 5415*i/2 - 22. What is k in y(k) = 0?
-19, -5/6
Let z(h) = -h**3 - h**2 + h. Let l be (-6)/8*22/(-33)*-12. Let b(k) = 7*k**3 + 21*k**2 - 6*k. Let u(y) = l*z(y) - b(y). Factor u(f).
-f**2*(f + 15)
Suppose 0 = 2957*o - 2938*o - 57. Let 1/5*p**o + 2/5 + p + 4/5*p**2 = 0. Calculate p.
-2, -1
Suppose -74 + 1024 = 2*z. Let v = -471 + z. Find q such that 5/3*q**2 - 7/3*q**5 - 5/3*q**v + 0 - 2/3*q + 3*q**3 = 0.
-1, 0, 2/7, 1
Let y(o) be the second derivative of -o**5/30 + 21*o**4/2 - 2813*o**3/3 - 47045*o**2/3 + 3871*o. Factor y(l).
-2*(l - 97)**2*(l + 5)/3
Let d be ((-250)/(-200))/(90/96). Factor 10/3*v**2 + 8/3*v**3 - d*v - 2.
2*(v + 1)**2*(4*v - 3)/3
Let y be 2*1/(-16) + (796898/3344 + -28 - 24). Factor -2/11*p**2 - y - 128/11*p.
-2*(p + 32)**2/11
Let s(r) be the second derivative of -7/10*r**4 - 144/5*r**2 - 162*r + 3/100*r**5 + 0 + 32/5*r**3. Determine i, given that s(i) = 0.
4, 6
Let w be (-38285)/57 + (15/(-9))/5. Let c = 4724/7 + w. Factor -8/7 + c*y + 12/7*y**2.
4*(y + 2)*(3*y - 1)/7
Let b(t) be the second derivative of t**5/5 + 25*t**4/3 + 8*t**3 - 576*t**2 + t + 453. Let b(i) = 0. Calculate i.
-24, -4, 3
Let n(y) = 5*y**2 - 1183*y + 59537. Let p be n(164). Let l = -32 - -65/2. Factor -2*k + 0 - l*k**p - 3*k**4 - 6*k**2 - 13/2*k**3.
-k*(k + 1)**2*(k + 2)**2/2
Factor -43*q**2 - 54*q**2 + 544 - 110 + 99*q**2 - 436*q.
2*(q - 217)*(q - 1)
Let z(g) be the second derivative of -g**6/90 - 13*g**5/15 - 92*g**4/9 - 352*g**3/9 - 69*g + 5. Suppose z(t) = 0. Calculate t.
-44, -4, 0
Let d be (((-1275)/12)/(-25))/((-10)/(10400/(-110))). What is t in -50/11*t**3 + 282/11*t**2 + 2/11*t**4 - 676/11 + d*t = 0?
-2, 1, 13
Suppose -18 + 282 = 4*t. Suppose 25*j - t = -8*j. Suppose -2/15*i**4 + 0 + 0*i**3 + 2/15*i**j + 0*i = 0. Calculate i.
-1, 0, 1
Let u = 7578/413 + -1032/59. Let x be (-1)/(1/4*-2). What is k in -u*k**4 - 16/7*k**3 - 2*k**x - 4/7*k + 0 = 0?
-1, -2/3, 0
Let k be 2/(3522/(-1764) + 2). Factor -k - 13*h**3 + 29*h**3 + 672*h - 87*h**2 - 13*h**3.
3*(h - 14)**2*(h - 1)
Let n(q) be the third derivative of q**6/40 + 11*q**5/20 + 5*q**4/2 - 16*q**3 + 1347*q**2. Suppose n(i) = 0. Calculate i.
-8, -4, 1
Suppose -2*x = 5 - 11. Suppose -15 = -3*m + 2*g, 6 = -2*m + x*g + 21. Factor 3/4*q - 1/2 + 0*q**2 - 1/4*q**m.
-(q - 1)**2*(q + 2)/4
Suppose -13 = 4*c - 21. Factor 3*z**5 - 25*z + 13*z + 5*z + 10*z - 12*z**c - 12*z**4 + 18*z**3.
3*z*(z - 1)**4
Let u be (91/(-77))/(128/(-176)). Let r(n) be the first derivative of -u*n**2 + 3/2*n - 1/16*n**4 + 2/3*n**3 - 24. Factor r(v).
-(v - 6)*(v - 1)**2/4
Suppose 5*b = -2*j - 1453, 5*j + 3374 + 299 = b. Let i = j - -738. Factor -2*p**2 - i - 1/4*p**3 - 5*p.
-(p + 2)**2*(p + 4)/4
Let u(i) be the first derivative of 14/13*i**2 + 2/39*i**3 + 0*i + 35. Find l, given that u(l) = 0.
-14, 0
Let u(p) be the second derivative of p**7/1890 - p**6/30 + 17*p**5/90 + 23*p**4/12 + 60*p. Let y(x) be the third derivative of u(x). Factor y(m).
4*(m - 17)*(m - 1)/3
Let a be 41 - -6*6/9. Let n = a + -30. Factor 4*h + 4*h**2 - 7*h - 2 - 14 + n*h.
4*(h - 1)*(h + 4)
Let t(a) = -a. Let l(d) = 5*d**2 - 6*d - 20. Let y(v) = -v**2 + 3*v + 44. Let q be y(0). Suppose -4*s = q - 68. Let i(h) = s*t(h) - l(h). Factor i(g).
-5*(g - 2)*(g + 2)
Determine w so that 38829*w + 40373*w - 1050*w**3 + 1052*w**3 - 796*w**2 = 0.
0, 199
Let q be 12/42*14/60*2. Let i(z) be the second derivative of -11*z + 2/15*z**3 + 0*z**2 + 0 + 33/100*z**5 + 1/3*z**4 + q*z**6 + 2/105*z**7. Factor i(p).
p*(p + 2)**2*(2*p + 1)**2/5
Let n = -46 - -50. Factor -2*x**4 + 57*x**5 + 0*x**n - 55*x**5.
2*x**4*(x - 1)
Suppose 882*d**2 - 4310*d + 2/5*d**4 + 7100 - 314/5*d**3 = 0. Calculate d.
5, 142
Let z(c) be the first derivative of -1/8*c**4 - 4/9*c**3 - 7/12*c**2 - 1/3*c - 20. Factor z(v).
-(v + 1)**2*(3*v + 2)/6
Let a be (8265/(-60610))/(8/(-66)). Find i such that -87/8*i**2 + 57/8*i + 39/8*i**3 - a = 0.
3/13, 1
Let j(d) be the second derivative of 88*d + 0 + 5/48*d**4 - 1/20*d**5 - 1/12*d**3 + 1/120*d**6 + 0*d**2. Suppose j(c) = 0. What is c?
0, 1, 2
Factor 13*k - 18*k**2 - 20*k + 3*k.
-2*k*(9*k + 2)
Let g = -387119/30 - -12904. Let b(a) be the second derivative of 4/9*a**4 + 13/9*a**3 + g*a**5 - 7*a + 0 + 2*a**2. Factor b(m).
2*(m + 1)**2*(m + 6)/3
Let o(j) be the second derivative of -j**6/200 - j**5/20 - 3*j**4/20 + 29*j**2 + 126*j. Let c(n) be the first derivative of o(n). Factor c(h).
-3*h*(h + 2)*(h + 3)/5
Suppose -16*u + 17*u - 194 = 0. Suppose u = -r + 204. Factor 5/2*i**2 + 10 + r*i.
5*(i + 2)**2/2
Let j be (2/(-2))/((-14)/4). Let w = 2018139 + -2018136. Factor -2/7*a**2 + 0*a - 2/7*a**w + 0 + j*a**4 + 2/7*a**5.
2*a**2*(a - 1)*(a + 1)**2/7
Factor 3*i**3 - 25*i**2 - 252666 + 252666 + 66*i - 44*i**2.
3*i*(i - 22)*(i - 1)
Factor -102*g**2 - 7*g**3 - 22*g**2 + 29*g**2 - 545*g**2 + 2*g**3 - 1875*g.
-5*g*(g + 3)*(g + 125)
Let c(a) be the second derivative of a**4/96 + 23*a**3/24 - 1071*a**2/16 + 9582*a. Let c(t) = 0. What is t?
-63, 17
What is m in 117/7*m + 34 - 1/7*m**2 = 0?
-2, 119
Find x such that -54*x**2 - 3/4*x**5 + 1/2*x**4 + 81/4*x**3 + 0 + 27*x = 0.
-6, 0, 2/3, 3
Let x be (-17172)/306 + (-4)/(-34). Let s be (60/45)/((x/12)/(-1)). Let -10/7*o + 8/7 + s*o**2 = 0. What is o?
1, 4
Solve 5/2*m + 0 + 3*m**2 + 1/2*m**3 = 0.
-5, -1, 0
Let c(p) be the second derivative of p**6/6 - 21*p**5 + 415*p**4/12 + 9243*p. What is l in c(l) = 0?
0, 1, 83
Let f be (4/8)/(-25 + 46). Let t(o) be the second derivative of 5/21*o**3 + 0 + 6/7*o**2 + 19*o - f*o**4. Let t(h) = 0. What is h?
-1, 6
Let q be ((-300)/24 - -13)*8. Let v(y) be the second derivative of -5/12*y**q + 5/6*y**3 + 0 - 13*y + 5*y**2. Factor v(i).
-5*(i - 2)*(i + 1)
Let x(d) be the second derivative of d**4/66 - 256*d**3/33 + 255*d**2/11 - 1551*d. Factor x(q).
2*(q - 255)*(q - 1)/11
Suppose -40*s - 45*s + 44*s = 0. Let a(m) be the second derivative of s*m**2 + 0 - 1/3*m**3 + 1/3*m**4 - 1/40*m**5 + 21*m - 1/20*m**6. Factor a(k).
-k*(k - 1)*(k + 2)*(3*k - 2)/2
Let k(x) be the first derivative of 9*x**4/4 + 628*x**3/3 + 481*x**2/2 - 138*x - 352. Solve k(y) = 0 for y.
-69, -1, 2/9
Determine m, given that -21*m**2 - 96 - 3/4*m**3 + 93*m = 0.
-32, 2
Determine x, given that -1/4*x**4 - 1/2*x**3 + 0*x**2 + 1/4 + 1/2*x = 0.
-1, 1
Suppose 9*l - 4
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - o**3 - 4*o**2 + 2*o**2 + 4. Does 8 divide i(-7)?
False
Suppose 0 = -u + 2. Let q be (u/(-2))/((-1)/79). Let o = q - 55. Is 15 a factor of o?
False
Let f = -43 - -89. Is f a multiple of 8?
False
Let a = -62 + 36. Let c = 40 + a. Is c a multiple of 9?
False
Is 30 a factor of ((-2)/(-9) - 176/(-18))*12?
True
Let o = -6 + 4. Let u = 9 + o. Does 4 divide u?
False
Suppose -5*j = -11 - 4. Suppose -5*q = -j*r - 16, 6*r + 14 = 2*q + r. Suppose 3*l = -7 - q, 4*l = 5*n - 82. Is 5 a factor of n?
False
Suppose 4*x - 6*x + 104 = 0. Is x a multiple of 13?
True
Let u(y) = -y**3 + 9*y**2 + 9*y + 12. Let v be u(10). Suppose -12 = -2*k - 2*g, k + v*k - g = 10. Is k a multiple of 2?
True
Suppose -4*k + 2*p - p = -14, -3*k + 2 = -5*p. Let r(j) = -2*j + 6*j**2 - j**3 - 2 - 4 + 1. Does 14 divide r(k)?
False
Let d(l) = 5*l**2 - 2*l - 3. Let c be d(3). Let j be (3/(-6))/(2/c). Is 9/(-4)*(j - -1) a multiple of 12?
False
Let b(n) = 23*n**2 - 2*n + 1. Let s = -4 - -5. Does 11 divide b(s)?
True
Let i be 0*4/16 - -3. Suppose -2*y + i*y = -5*c + 17, y + 2*c - 11 = 0. Is 7 a factor of y?
True
Is 4/(4/41) + 3 a multiple of 11?
True
Let h be (-7)/2 + 3/(-6). Does 7 divide ((-10)/(-3))/(h/(-18))?
False
Is (0 - 5)*8856/(-120) a multiple of 41?
True
Suppose 2*c = 5*l - 96, -4*l + 0 = 3*c - 63. Is l a multiple of 6?
True
Suppose 2*h = -4*x + 16, h - x - 8 = 2*x. Let l = h + 20. Is l a multiple of 28?
True
Let m(c) = -c**3 - 3. Let s be m(0). Let b = s + 10. Is b a multiple of 7?
True
Suppose -7 = -c + 41. Suppose 4*i - 2*d + c = -4*d, 0 = -4*d - 16. Is ((-4)/i)/(6/120) a multiple of 8?
True
Suppose -u = -0*u. Let c(j) = j + 21. Is c(u) a multiple of 7?
True
Let s(o) = -o - 4. Let f be s(-2). Does 5 divide (10/(-6))/(f/6)?
True
Let j be 2*2/1 - 2. Let c be 1*(34 + j + -1). Suppose -73 = -4*y + c. Is y a multiple of 14?
False
Let q = -97 - -173. Is q a multiple of 5?
False
Suppose -i + 3*b = -1, 4 = 3*i + 5*b - 13. Suppose -8 = 3*l + i. Let u = 12 - l. Does 8 divide u?
True
Let h be -2 + 5 + 39/(-1). Let w = h + 52. Does 8 divide w?
True
Let d(i) = -9*i - 28. Does 4 divide d(-8)?
True
Let h = -8 + 18. Let l(n) = -6*n + 0*n + h*n + 2 - 8*n. Is l(-2) a multiple of 10?
True
Let g(i) = 102*i**2 + 2*i - 1. Does 23 divide g(1)?
False
Let y be (-3)/(((-12)/(-5))/(-4)). Suppose 5*o + 87 = 5*v - 108, 39 = v - y*o. Does 13 divide v?
True
Let h be (2/3)/(4/(-42)). Let o(m) = -m**2 + m + 1. Let b(q) = -2*q**2 - 4*q - 2. Let t(r) = -b(r) + o(r). Is 9 a factor of t(h)?
False
Is 5 a factor of 128/13 + (-2)/(-13)?
True
Let d(a) = a**3 - 8*a**2 + 12*a + 5. Is 8 a factor of d(7)?
True
Let f(c) be the first derivative of 11*c**2/2 - c - 4. Suppose -o + 4*o - 3 = 0. Is 10 a factor of f(o)?
True
Suppose 4*l - 3*p = 2*l + 58, 38 = l + 3*p. Let s = l + -4. Is 7 a factor of s?
True
Suppose 5*s - 9 = 6. Suppose -2*c - 3*k = -7*c, s*c = -3*k + 24. Is c a multiple of 3?
True
Let y be 1/(-2)*2 - -3. Suppose -39 = -4*u + 5*p, u = y*p - p + 9. Is 5 a factor of u?
False
Let p = -7 - 4. Let v = p + 18. Is v a multiple of 3?
False
Let i be 2/7 - (-38)/14. Suppose -m + i = -1, -4*u + 264 = 2*m. Is 6 a factor of (9/(-6))/((-6)/u)?
False
Suppose 2*v + 3*z = 4 + 65, 2*v - 2*z = 84. Is 9 a factor of v?
False
Let d be 93 - (3 + 0 + 0). Suppose 5*z - 3*b = -6*b + d, 5*b = -z + 40. Does 6 divide z?
False
Suppose -4*x + 16 = 4*p - 48, 3*p = 2*x - 37. Suppose 2*i - 13 - x = 0. Is i a multiple of 5?
True
Let p = 352 - 214. Suppose 4*w - p - 42 = 0. Is 18 a factor of w?
False
Let h = 11 - -19. Is 10 a factor of h?
True
Suppose 0*m + 5 = m. Suppose m*c - 220 - 162 = -2*t, 2*t = 3*c - 226. Is c a multiple of 19?
True
Suppose -5*c + c - 22 = -i, -15 = 5*i + 5*c. Suppose 0 = -i*s + 6*s - 108. Is 8 a factor of s?
False
Suppose -19*t + 432 = -15*t. Does 18 divide t?
True
Suppose 760 = 4*s - 600. Suppose -s = -7*h + 2*h. Suppose -w + 23 = -i, -5*w - 2*i = -w - h. Does 19 divide w?
True
Let x be (-2 + (-15)/(-6))*46. Let d(t) = -t**3 - 5*t**2 + 3. Let z be d(-3). Let c = x + z. Does 5 divide c?
False
Let n = 10 + -5. Let t be (n/(-15))/((-2)/(-6)). Is t*((-33)/3 - -2) a multiple of 5?
False
Suppose 2*q + 2*q + 2*x = 30, 5*x = -3*q + 5. Suppose -q - 10 = 5*y + 5*d, -3*d = 4*y + 13. Is 3/(-6)*-74 + y a multiple of 18?
True
Let w = 71 + -33. Suppose 5*f + 13 = 3*j + w, -2*j = f - 5. Suppose d = -j + 2. Is d a multiple of 2?
True
Let p(s) = -2*s - 1. Let r be p(1). Is 8 - 2*(r - -2) a multiple of 4?
False
Let g = 70 - 26. Is g/(7/((-7)/(-2))) a multiple of 10?
False
Let u(f) = 2*f**2 + 7*f. Let o = 9 - 14. Is 15 a factor of u(o)?
True
Suppose -5*t - 12 = 4*v + 5, -v - t = 3. Suppose -v*r + 270 = 3*r. Does 18 divide r?
True
Let x(j) = 2*j + 8. Let z be x(11). Let r = -47 + z. Let b = 4 - r. Is b a multiple of 11?
False
Let c(i) = -3 + 2*i**2 + 2 - 4*i**2 - 2*i. Let l be c(3). Let r = 56 + l. Does 12 divide r?
False
Let x(r) = 2*r**3 - 4*r**2 + 3*r - 6. Is x(3) a multiple of 21?
True
Let y = 2 - 0. Suppose -y*v = v. Let z = v + 13. Is z a multiple of 9?
False
Let q be ((-33)/(-6))/((-4)/(-8)). Suppose -q = -5*x + 34. Is x a multiple of 7?
False
Let y(t) = 6*t**3 - 3*t**2 + t. Is y(2) a multiple of 38?
True
Let g = -32 - -123. Let m = g + -31. Is 20 a factor of m?
True
Let v(p) = -p**2 + 5*p + 6. Let d be v(6). Suppose d = 4*z + 8, -z + 4 - 1 = j. Suppose j = -a, 3*a - 2 - 1 = -2*w. Does 9 divide w?
True
Let t(c) = c**3 - 2*c**2 + c + 7. Let h be t(5). Suppose -r + h = 2*r. Suppose u = -3*s + r, -2*s = -2*u + 59 - 9. Is 13 a factor of u?
True
Let y = 0 - -8. Let x = 18 - y. Is 4 a factor of x?
False
Let x be (-4)/(1*-2*1). Suppose 0 = 3*g - x*g + 4*i - 83, 4*g - 257 = -i. Let t = -29 + g. Is 12 a factor of t?
False
Let u = 43 + -21. Let w = 37 - u. Is 9 a factor of w?
False
Suppose -m + 2 + 34 = 0. Is 9 a factor of m?
True
Suppose 3*h - 28 = 2*h. Does 7 divide h?
True
Let o = 6 - 8. Let u(w) = 3*w**2 + 5*w - 1. Let y(n) = -n**2 - n. Let j(c) = -u(c) - 5*y(c). Is j(o) a multiple of 5?
False
Let v(a) = a**2 - 5*a - 16. Is 38 a factor of v(14)?
False
Let b = 52 + -12. Does 10 divide b?
True
Let h(t) = t - 1. Let z be h(6). Suppose 2*k + z*a - 52 = 31, 47 = k - 3*a. Is k a multiple of 13?
False
Let w be -4 + 1 + (4 - 1). Does 9 divide 3 + (-33)/(-3 - w)?
False
Let n = 29 - 42. Let c(j) = -4*j**2 - 3*j - 1. Let o be c(-3). Let x = n - o. Is x a multiple of 15?
True
Let y be 4*(-5 + 1 + 0). Suppose -30 = -3*t - 4*p + 56, -5*p - 94 = -4*t. Let m = y + t. Is 5 a factor of m?
True
Is (2 - 8/2 - -6) + 15 a multiple of 19?
True
Let q(l) = -3*l**3 + 4*l**2 + 2. Let w be q(3). Suppose 0 = v + 29 - 9. Let n = v - w. Is 12 a factor of n?
False
Suppose -3*n = -2*l - 11, 4*n - 5*n - 4*l - 1 = 0. Does 3 divide (7/2)/(n/6)?
False
Let k(t) = -t**3 + 6*t**2 - 4*t - 2. Let o be k(5). Let v = o + 0. Does 13 divide 80/v - 6/9?
True
Is ((-132)/16)/3*-8 a multiple of 7?
False
Let r(w) = -w + 2. Let u be r(2). Suppose -3*d = -p - p + 9, 0 = 4*p - 2*d - 6. Suppose u*k - 2*k + 26 = p. Is 9 a factor of k?
False
Let u = 2 - 10. Is ((-45)/12)/(2/u) a multiple of 9?
False
Let r be 7 + (-2 - (1 + -1)). Suppose -3 = 2*l - r*l. Does 5 divide -1 + (l - -1) - -15?
False
Suppose 2*c - 3*c + 5 = 0. Suppose -c*a + 30 = -2*a. Is 3 a factor of a?
False
Let o = -34 - -54. Does 12 divide o?
False
Let f = -5 - -8. Suppose 0 = f*a - 32 - 19. Is 16 a factor of a?
False
Suppose -3*d - 4*o - 164 = -8*d, 0 = 2*o + 2. Does 8 divide d?
True
Let v = 7 + 12. Suppose z + 5 = 0, -3*o + v = -o - z. Is 7 a factor of o?
True
Let d(w) = w**3 + 8*w**2 + 6*w. Is 18 a factor of d(-6)?
True
Is 90/75*(-130)/(-4) a multiple of 13?
True
Suppose -284 = -5*d + 166. Suppose 3*m - d = -2*m. Is m a multiple of 13?
False
Suppose 48 = -4*p + 156. Is 2 a factor of p?
False
Let z be (-3)/(-4)*(-96)/(-6). Let d = z + -5. Does 7 divide d?
True
Suppose -x = -9 + 5. Is 2 a factor of x?
True
Is 6 a factor of (-5)/2*(-4)/1?
False
Let m(v) be the first derivative of -6*v - 3/2*v**2 - 3. Is m(-7) a multiple of 5?
True
Let z = -40 - -22. Let a = z + 24. Is 6 a factor of a?
True
Suppose 56 = 4*t - 5*c, -2*c + c + 4 = 0. Is 11 a factor of t?
False
Let a(o) = o**2 + 5*o - 12. Does 12 divide a(-9)?
True
Let u = 11 + 15. Let r = u - 18. Is r even?
True
Let j(n) = n**3 - 8*n**2 + 10*n - 3. Let p be j(7). Let m = 66 - p. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
= -v - 2. What is the tens digit of h(v)?
1
Let p(z) = -z**2 - 6*z - 5. Let s be p(-5). Let c be 3*(-1 + 2) + 0. Suppose -4*d + 29 + c = s. What is the units digit of d?
8
Suppose 5*m - 28 - 17 = 0. Suppose 13*f - m*f - 208 = 0. What is the tens digit of f?
5
Let z(o) = -1 + 1 - o. What is the units digit of z(-7)?
7
Let n = -64 + 109. What is the tens digit of n?
4
Let p = -4 - 1. What is the units digit of (15/p)/((-1)/9)?
7
Let n(b) = 5*b**2 + 3*b. Let l(j) = 4*j. Let m(u) = 3*u - 1. Let q(x) = 2*l(x) - 3*m(x). Let z be q(5). What is the units digit of n(z)?
4
Let z(i) = i**2 + 3*i - 1. Let b be z(4). Let t be 2*3*b/(-6). Let c = -19 - t. What is the units digit of c?
8
Suppose 2*d - 4*d = 0. Suppose -5*q + 80 = -d*t + 2*t, -2*t + 10 = 0. What is the tens digit of q?
1
Let z = -75 + 126. What is the tens digit of z?
5
Suppose -4*u + 2*b = -2*b - 172, -3*u = 4*b - 101. What is the tens digit of u?
3
Let o(g) = g**3 + g + 1. Let y(b) = 6*b**3 - 9*b**2 + 11*b - 1. Let i(m) = 5*o(m) - y(m). Let s be i(8). Suppose s - 6 = 4*t. What is the units digit of t?
4
What is the tens digit of 12 - (2 + -4 - -3)?
1
Let s(u) = -3*u**2 - 9*u - 4. Let f be s(-7). Let q = -52 - f. What is the tens digit of q?
3
Suppose -18 = -2*f - 3*c, 0*c = 2*f - 3*c + 6. What is the units digit of f?
3
Let o(s) = 7*s - 1. Let d be o(1). Let r(u) = -u**3 + 6*u**2 + 2*u - 5. Let b be r(d). Suppose 0 = -b*c + 2*c + 45. What is the units digit of c?
9
Let n(g) = g**3 - 5*g**2 + 8*g - 5. Suppose 3*s - 30 = 3*q, -5*q = -2*s - 0*s + 35. What is the units digit of n(s)?
5
Suppose -2*v = -7*v - 15. Let t be (v*2)/(6/(-9)). Suppose -3*k - 3 + t = 0. What is the units digit of k?
2
Let s = 140 + -78. What is the units digit of s?
2
Let y(s) = s**3 - 5*s**2 - 4*s - 4. Let l = 13 + -9. Suppose 32 = 5*f - w, -14 = -l*f + 4*w - 9*w. What is the units digit of y(f)?
8
Suppose n - 5*p + 2*p + 31 = 0, 2*p + 71 = -3*n. Let g = 35 + n. What is the tens digit of g?
1
Let c = -17 - -48. What is the tens digit of c?
3
Let m(a) = -a**2 + 6*a + 1. Let p be m(3). What is the tens digit of 476/20 - (-2)/p?
2
Let x = 15 - 12. What is the tens digit of 0 + (20 - -3) - x?
2
Suppose 0 = -2*n + 6, 0*n - n - 481 = -4*w. What is the tens digit of w?
2
Suppose 3*m - 477 = -4*d + 481, 2*m - 4 = 0. What is the hundreds digit of d?
2
Let r = 19 - 5. What is the tens digit of r?
1
Suppose -4*u = -7 - 21. Suppose u*d = 2*d + 145. Let m = d - 16. What is the units digit of m?
3
Suppose -5*y + 21 - 6 = 0. Suppose 0 - y = -x. Suppose 0 = x*c - 0*c - 30. What is the tens digit of c?
1
Let u = -11 - -14. Suppose -2*k = -u*k + 5. Suppose -2*x - 11 - 15 = -4*t, k*x = 5*t - 40. What is the units digit of t?
5
Suppose 0 = 5*y, -6 = -n + 4*y + 185. What is the tens digit of n?
9
Let u be (5 + -11)*(-2)/4. Suppose 126 = -u*n + 21. What is the units digit of n/(-20) - (-2)/8?
2
Suppose 321 + 94 = 5*t. What is the tens digit of t?
8
Let p(h) = 5*h - 2*h**2 + 4*h**2 + 2 + 2. Let t be p(-6). Suppose 4*a - 2 - t = 0. What is the tens digit of a?
1
Suppose -200 = -4*a + 4*o, 2*o = o - 4. What is the tens digit of a?
4
Let m(c) = 7*c**2 + 3*c - 5. What is the units digit of m(2)?
9
Let g be (-1)/(-4) + 63/4. Suppose -2*z + 2 - g = 0. What is the units digit of 4/(-14) - 37/z?
5
Suppose 6 = 2*c - 4*i, -c - 4*i = -5*i - 4. Let l(v) = v + 6. What is the units digit of l(c)?
1
Suppose 3*v - 7 = h + 4*h, 23 = 5*v + 3*h. Suppose -j - v*t - 32 = -2*j, -j = -5*t - 28. What is the units digit of j?
8
Let r(j) = 6*j**3 - j**2 + j - 1. Let h = 3 - 9. Let q be ((-3)/((-9)/h))/(-2). What is the units digit of r(q)?
5
Suppose h + 34 = 3*k + 3*h, 5*k - 55 = -5*h. Suppose 0 = y - j - 2*j - k, -4*y + j + 26 = 0. What is the units digit of y?
6
Let t = -24 + 14. What is the units digit of ((-4)/t)/(11/1265)?
6
Let r(u) = u - 7. Let j be r(0). Suppose 0 = 2*t - 4*b + 16, -5*b - 13 = 5*t - 6*b. Let a = t - j. What is the units digit of a?
5
Let s(h) = 8*h + 1 - h**2 + 15 + 4*h - 1. What is the units digit of s(11)?
6
Suppose 0*f = -4*f + 192. Suppose 5 - 53 = 4*g - y, 3*y + f = -4*g. Let o = g - -25. What is the tens digit of o?
1
Suppose -16*l + 12*l + 284 = 0. What is the tens digit of l?
7
What is the tens digit of 268/8 + (-1)/(-2)?
3
Let u(a) = 3*a + 3. Let k be u(5). Suppose -c - 5*f = k, c + 4*f + 13 = -0*f. What is the units digit of c?
7
Suppose 0 = 3*g + 3 - 0. Let j be 6*(1 + (-3 - g)). What is the tens digit of (9/j)/(3/(-20))?
1
What is the units digit of (29 - 6)*-2*(-1 + -3)?
4
Let i = -22 + 45. Suppose -i = -2*d + 5*c, -3*c = 2*d + 3 - 2. Suppose -5*t - d*l - 3 + 1 = 0, 5*l = -2*t - 11. What is the units digit of t?
2
Suppose -11 = -3*u + 34. Suppose 8*z - 3*z = u. What is the units digit of z?
3
Suppose -2*d + 28 + 28 = 0. What is the tens digit of d?
2
Suppose 1 = -2*y + 7, 2*s - 303 = -5*y. What is the tens digit of s?
4
Suppose 39 + 381 = 6*c. What is the units digit of c?
0
Let m(c) = -6*c + 8*c - 1 + 16. What is the units digit of m(11)?
7
Let u be ((-4)/(-10))/((-7)/(-35)). Suppose -45 = -3*s + 15. Suppose -u*l = 3*w - 7, 5*w = -l + 4*l - s. What is the units digit of l?
5
Let n(j) = -j**3 + j**2 + j. Let k be n(2). Let o be (k/4)/((-2)/44). Suppose 2*x - o = -5*y, 3*x = 2*y + 4*x - 5. What is the units digit of y?
1
Let g(f) = -4*f - 3 + 6 - 1 - 4. What is the tens digit of g(-4)?
1
Suppose q = -3*p + 49, 5*p - 50 = -3*q + 77. Let o = -25 + 5. Let g = q + o. What is the units digit of g?
4
Let s = 0 - -2. Suppose o - 1 = s. What is the units digit of o?
3
Suppose h - 4*h + 132 = 0. What is the tens digit of h?
4
Let x(l) = l**3 + 8*l**2 - 5*l - 4. Let f be x(-8). Suppose -5*n + f = -3*n. What is the tens digit of n?
1
Suppose j - 2*l - 1 = 4, -4*l = j + 1. Suppose 9 = 2*s + j. Suppose 0*f = -s*f + 12. What is the units digit of f?
4
Let s(k) = -405*k**3 + 2*k + 2. What is the hundreds digit of s(-1)?
4
Let v = 3 + 9. What is the tens digit of v?
1
Let n = 50 - 31. Suppose -5*r + n + 166 = 0. What is the tens digit of r?
3
Let i = -146 - -260. What is the tens digit of i?
1
What is the hundreds digit of -4 + 22/(4/((-28)/(-1)))?
1
Let c(b) = 2*b**3 - 5*b**2 + b + 7. Let j be c(5). Suppose -3*s - 14 = -j. Suppose -2*i = -10, -4*i + 9*i = -2*a + s. What is the units digit of a?
8
Suppose 0 = 5*a + 4*x - 72, 90 - 12 = 5*a + x. What is the units digit of a?
6
What is the tens digit of 4/22 + (-7130)/(-110)?
6
Let a = 3 + -4. Let o be -2 + 5 + (a - 0). What is the units digit of (-2 + -1 + o)*-1?
1
Let o = 14 - 13. What is the units digit of 48/2 + 3*o?
7
Let b(s) = 7*s**3 - s**2 + s - 1. Let m be 2 - (-1 - -4) - -4. Let n = m + -2. What is the units digit of b(n)?
6
Let q(v) = 13*v**2 - v - 2. What is the units digit of q(-2)?
2
Let y be 8/8 - 1*-1. Suppose 2*l + 4*g = 20, y*g + g = l + 15. Let f = 9 - l. What is the units digit of f?
9
Let w(z) = -7*z - z**2 + 13 - 14 + z. What is the units digit of w(-5)?
4
Let v(d) = d**2 + 3*d + 6. Let g be v(-3). Suppose -4*b + 84 = -5*y + y, b + 2*y = g. What is the units digit of b?
6
Let m = 16 + -7. Let n be (-25)/(-3) + (-3)/m. Suppose 4*k - 5*s - n = -s, -5*k = -3*s - 12. What is the units digit of k?
3
Suppose -3*d - 28 = -5*c, -d - c = 2 + 2. Let o(w) = -2*w - 9. What is the units digit of o(d)?
3
Let w(k) = 6*k**2 - 4*k - 11. What is the tens digit of w(7)?
5
Let v be (18/(-3))/(2/(-3)). What is the units digit of 2/v - (-122)/18?
7
What is the units digit of (-164)/(-6) + (7 - (-114)/(-18))?
8
Let f(v) = v + 21. What is the units digit of f(16)?
7
Suppose -3 = -2*z + 3. What is the units digit of z?
3
Let z = -117 + 81. Suppose -580 = 2*i + 3*i. What is the units digit of i/z + (-2)/9?
3
Let v = 0 + 13. Suppose -4*c + 3*g = -2*g - v, -5 = 5*g. Suppose -l + 7 = -0*l - 3*p, 0 = -c*p. What is the units digit of l?
7
Let y(v) = -2*v**3 - v**2 + v + 1. Let k be y(-1). Let o be -1 + (k - -2) + 1. What is the units digit of 8/12 + 28/o?
0
Suppose c + 29 = 316. What is the units digit of c?
7
Suppose -8*d + 4*d + 4*s = -244, -5*s - 15 = 0. What is the tens digit of d?
5
Let v(i) = -i**2 - 17*i - 13. What is the tens digit of v(-14)?
2
Suppose 4*b - 20 = 16. Let y be (1 + 1)/4*0. Let k = b - y. What is the units digit of k?
9
Let z = -9 - -17. Let c = 6 - z. What is the units digit of
|
{
"pile_set_name": "DM Mathematics"
}
|
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