e remainder when 1*-1*237/(21 + -24) is divided by 78.
1
Let n = -80 + 201. What is the remainder when n is divided by 32?
25
Let a(b) = 11*b. Let d be a(1). Calculate the remainder when 25 is divided by d/3 + (-2)/(-6).
1
Let c = 1062 - 981. What is the remainder when c is divided by 14?
11
Let f = -89 + 53. Let l = f + 63. Calculate the remainder when 50 is divided by l.
23
Suppose 0 = -0*o - 4*o + 52. Let m = -6 + o. Suppose -2*t = -8 - 0. Calculate the remainder when m is divided by t.
3
Suppose 5*i + 162*m = 161*m + 48, 4*m = 12. Suppose 0 = -o - 4*p + 10, -5*o + 4*p = -0*o - 26. What is the remainder when i is divided by o?
3
Let q(a) be the second derivative of a**4/6 - a**3/6 - 9*a**2/2 + 9*a. Calculate the remainder when q(7) is divided by 14.
12
Suppose -5*i + 3*a = -213 + 62, -5*a = 2*i - 79. Suppose -20*l = -408 - i. What is the remainder when 63 is divided by l?
19
Let w = -10 - -30. What is the remainder when 38 is divided by w?
18
Let v = 38 - 19. Suppose 3*z = 5*j + 55, 3*j + 2*z + 33 = -z. Let x = 21 + j. What is the remainder when v is divided by x?
9
Suppose -8*i = -122 - 446. Calculate the remainder when i is divided by 5.
1
Let b = 15 + -6. Suppose f = -5*y + 4*f - 5, -2*y + 14 = 2*f. Suppose 15 = y*t - 19. Calculate the remainder when t is divided by b.
8
Suppose 0 = 3*g - x + 6*x - 18, 6 = g + 2*x. What is the remainder when 49 is divided by g?
1
Suppose -8*n = 2*n - 1690. Calculate the remainder when n is divided by 16.
9
Let i = -2 + 7. Let q = i + -12. Let x = 0 - q. Calculate the remainder when 20 is divided by x.
6
Let r(s) = -s**2 + 14*s - 1. Suppose 5*g - 10 = 0, -3*i = -2*i - 3*g - 4. What is the remainder when r(7) is divided by i?
8
Let m = 1653 + -1490. Calculate the remainder when 487 is divided by m.
161
Let z = -110 + 139. What is the remainder when 158 is divided by z?
13
Let x(i) = i**3 + 9*i**2 - 6*i - 9. Calculate the remainder when x(-8) is divided by 26.
25
Suppose -5*h = g, 2*h + g = -h. Suppose 0 = -4*y - h*y. Suppose y*v + 36 = 4*v. What is the remainder when v is divided by 6?
3
Suppose 0 = -5*c + 11 + 19. Suppose -7*m = c*m - 208. What is the remainder when 78 is divided by m?
14
Let h be (-7)/(-5) + -1 + 2/(-5). Suppose h = -b + 10*b - 99. Calculate the remainder when 38 is divided by b.
5
Suppose 3*r - 29 = -z + 24, -3*r + z = -55. What is the remainder when (-18)/24*-111 - (-3)/(-12) is divided by r?
11
Let v(i) = 17*i**2 + 5*i - 3. Let k = 33 - 31. Calculate the remainder when v(k) is divided by 19.
18
Let q = 153 - 123. Calculate the remainder when 3/9 - 344/(-3) is divided by q.
25
Suppose 5*u + 0*k - 669 = -3*k, 0 = 2*u + 3*k - 273. Suppose 3*s = -s - u. Let d = -7 - s. Calculate the remainder when d is divided by 14.
12
Suppose -4*i + 40 = -120. Suppose 4*l + i = 4*p, 2*l + 2 = -p + 7*l. Calculate the remainder when p is divided by 6.
1
Suppose k + 82 = q, 4*q = 5*k - 7*k + 298. Calculate the remainder when q is divided by 38.
1
Let p = -1048 - -1052. Calculate the remainder when 105 is divided by p.
1
Let o = 97 + -61. Calculate the remainder when 211 is divided by o.
31
Suppose -p = -4*p - 6. Suppose -2*m - 5*j + 11 = -5*m, -2*m = j - 10. What is the remainder when 26 is divided by 9/m*(5 + p)?
8
Let j = 643 + -551. Calculate the remainder when j is divided by 62.
30
Let h = -59 - -61. Suppose -5*l - y - 14 = -56, -l + 3 = h*y. Calculate the remainder when 34 is divided by l.
7
Let o(f) = 38*f**2 + 7*f. Let j be o(-2). Suppose -5*b + j + 517 = i, -2*b - i = -259. Suppose -73 = 4*g - 181. Calculate the remainder when b is divided by g.
24
Suppose -s + 6*s = 690. Let h = 3 + 32. What is the remainder when s is divided by h?
33
Suppose -2 = -c + 2*c. Suppose 0*r = -3*w - 4*r - 893, 2*w = -5*r - 607. What is the remainder when c - -1*w/(-3) is divided by 24?
23
Calculate the remainder when 4/(-7) - 68/(-28)*209 is divided by 34.
31
Let c = -9 + 6. Let q = 6 - c. What is the remainder when 1048/44 + (-4)/(-22) is divided by q?
6
Let c be (-4)/3 + -1 + 544/(-6). Let a = 110 + c. Calculate the remainder when 63 is divided by a.
12
Suppose 459 = -43*k + 60*k. What is the remainder when 170 is divided by k?
8
Let x = -111 + 63. Let c = -43 - x. What is the remainder when 24 is divided by c?
4
Calculate the remainder when (-35009)/(-13) - (-7 + 0) is divided by 73.
72
Let v(t) = 95*t - 234. Calculate the remainder when 217 is divided by v(3).
13
Let m = 39 - 1. Let q = -100 + 174. What is the remainder when q is divided by m?
36
Let j = -5 - -9. Let c(i) = i**3 - 2*i**2 - 5*i + 2. Suppose 134 = 7*m - 5*m. Calculate the remainder when m is divided by c(j).
11
Let p = 362 - 335. What is the remainder when 37 is divided by p?
10
Suppose -3*l + 103 + 62 = 0. Calculate the remainder when 202 is divided by l.
37
Suppose m - 32 = -0*m + r, 3*r - 39 = -2*m. Suppose 3*l - m = -3*i, 3*i = 4*l + 6*i - 38. Calculate the remainder when 19 is divided by l.
8
Suppose -10441 = -29*z - 2147. What is the remainder when z is divided by 36?
34
Suppose 53 = 3*y - 2*d, 0 = -3*d + d - 2. Suppose 0 = 3*j - 55 - 44. Calculate the remainder when j is divided by y.
16
Suppose f = -2*f, -8 = -4*w + f. Suppose -130 = -5*o - w*k - 8, 0 = -5*o + 3*k + 117. Calculate the remainder when o is divided by 14 - (-3 + (-1 - -4)).
10
Let x(k) = -k**3 - k**2 - k + 36. Let q(g) = -6 + 3 - g**3 + g + 0 + 3*g**2. Let l be q(3). Calculate the remainder when x(l) is divided by 13.
10
Suppose x - o - 11 = 0, 4*x + 3*o = -0 + 65. What is the remainder when x is divided by -23 + 30 + (-2)/2?
2
Suppose -2*j + 0*j + 4*x = -8, -8 = 4*x. Suppose j = 10*o - 12*o + 188. What is the remainder when o is divided by 24?
22
Suppose -25*m + 6*m + 152 = 0. Suppose 0 = 5*z - 491 + 96. What is the remainder when z is divided by m?
7
Let a = -1 + 9. Suppose -2*s = 2*w + s - a, 4*w + 2*s = 24. Let x(b) = b**3 + 6*b**2 - 19*b - 11. Calculate the remainder when x(-8) is divided by w.
6
Let s(n) = 7*n**2 - 3*n + 9. What is the remainder when 248 is divided by s(-3)?
5
What is the remainder when 248 is divided by ((-186)/(-18) + -7)/((-2)/(-6))?
8
Let n = 30 - 14. Calculate the remainder when 45 is divided by n.
13
Let m be 22*-1*5/(-10). Let w = m + -2. Suppose 5*i - w = -3*v, 0 = -2*i - 2*i. What is the remainder when 10 is divided by v?
1
Let i(z) = z**2 - 13*z + 20. Let k(c) = c**2 + 10*c + 15. Let x be k(-10). What is the remainder when i(x) is divided by 17?
16
Suppose 0*u = -3*u + 72. What is the remainder when (-2)/3 + 2080/u is divided by 11?
9
Suppose -255*m = -253*m - 368. Calculate the remainder when m is divided by 49.
37
Let v(n) = n + 4. Let a be v(-3). Let l = a + -5. Let b(w) = w**3 + 7*w**2 + 5*w + 1. What is the remainder when b(l) is divided by 16?
13
Suppose 4*y + 2*z - 10 = 0, 3*y + 5*z = -2*y + 25. Suppose -3*b - 4*k + 5*k + 33 = y, 0 = b - 2*k - 11. What is the remainder when 29 is divided by b?
7
Suppose 5*s = 2*j + 1, 0*j = j + 5*s - 7. Suppose 17 + 63 = j*g. Calculate the remainder when g is divided by 23.
17
Let i = 8 - -23. What is the remainder when -3*(-3)/(-6)*(5 - i) is divided by 8?
7
Let q(m) = 24*m - 12*m - 16*m - 19. Calculate the remainder when q(-10) is divided by 6.
3
Let n(a) = -2*a + 9. Let x = 18 - 37. Let h = x - -19. What is the remainder when 35 is divided by n(h)?
8
Suppose w - 4 = 3. Let r be (-12)/(-24)*(3 + 1). Suppose -g + 18 = 4*m - 0*g, r*m - 4*g = 18. Calculate the remainder when w is divided by m.
2
Suppose 18*h - 952 - 9326 = 0. Calculate the remainder when h is divided by 13.
12
Let w(s) be the second derivative of 2*s**3/3 - 19*s**2 - s. Suppose -5*t - 5*z = -85, 3*t - 49 = 2*z - 4*z. What is the remainder when w(16) is divided by t?
11
Suppose -6 = 3*t - 15. Suppose -61 = -t*j + 5. What is the remainder when 65 is divided by j?
21
Suppose -714 = -5*x - 2*h, 333 = 3*x - 5*h - 83. What is the remainder when x is divided by 24?
22
Let c(u) = -4*u**3 - 3*u**2 - 14*u - 22. Calculate the remainder when c(-3) is divided by 48.
5
Let f(p) = p**3 - 15*p**2 - 9*p - 18. Let y be f(16). Suppose 5*z = 3*z + y. Suppose -32 = 46*a - z*a. Calculate the remainder when a is divided by 18.
14
Let g = -184 + 277. Calculate the remainder when g is divided by 5.
3
Let y = -4 - -9. Suppose 4*c + i = 62, -2*i + 4*i = y*c - 7