
Suppose 0 = -5*k + 5*q + 20, 3*k + 2*k - q - 20 = 0. Suppose 2*b - 14 = -k*t, -t - 2*t - 9 = 0. Calculate the remainder when 51 is divided by b.
12
Let v = 28 + -37. Let w(j) = j + 56. What is the remainder when w(v) is divided by 13?
8
Let p be (-10)/(8/(-30)*(-25)/(-10)). Suppose 0 = -5*x - 20, -3*x + 0 = -a + p. What is the remainder when 17 is divided by a?
2
Suppose -4*q + 0*q = -540. Let w = q - 81. Calculate the remainder when w is divided by 28.
26
Let c(j) = 217*j + 436. Calculate the remainder when (3*1)/(3/4) is divided by c(-2).
0
Suppose -4*m - 6 = 2*r - 0, 0 = -r + 2*m + 13. Calculate the remainder when 7 is divided by (-1)/(10/(-4))*r.
1
Let q(u) = 2*u - 5*u + 2*u + 2. Suppose 2*h = -5*t + 41, -2*h = -t + 4*t - 43. What is the remainder when h is divided by q(-4)?
5
Let y = -5 + 2. Let d(n) = -3*n**3 + 2*n**2 - 5*n - 4. Let z be d(y). Suppose 0 = -3*m - 11 + z. What is the remainder when m is divided by 12?
9
Suppose -2*r = -11*q + 6*q + 63, 5*q = -3*r + 68. Let i = -7 + 11. Let t(y) = y**3 - 3*y**2 + 4*y + 5. What is the remainder when t(i) is divided by q?
11
Let n = 83 + -47. Suppose 4*h - 124 = n. Calculate the remainder when 159 is divided by h.
39
Suppose 0 = 6*f + 93 - 9. What is the remainder when (322/(-4))/1*24/f is divided by 47?
44
Let x(q) be the third derivative of 7*q**5/30 + q**4/24 - q**2. Let a(h) = -8*h + 47. Calculate the remainder when x(2) is divided by a(4).
13
Suppose -4*p - 4*k = -272, -2*p - k + 142 = 4*k. Let y = p - -81. What is the remainder when y is divided by 30?
27
Let m be 2/(-3)*27/(-6). Let d be (-8)/(-24) - (-2)/m. Suppose 2*u = 4*t + 44, -9 = -u - 4*t + d. Calculate the remainder when 34 is divided by u.
16
Suppose -41 = -w - 3*l - 0*l, -4*w - 3*l + 182 = 0. What is the remainder when w is divided by 13?
8
Suppose -14*f + 273 = -f. Suppose 4*b = 3*y - 6, 6 = 3*y + 3*b - f. Calculate the remainder when ((-1)/(-1))/((-1)/(-9)) is divided by y.
3
Let v(j) = -j + 9. Let w be v(0). Let a(m) = 3*m - 2. Let g be a(w). Suppose -4*o - 1 = 5*r - 71, 3*o - g = -r. Calculate the remainder when 37 is divided by r.
7
Let c = 166 - 91. Let j(b) = b**2 - 9*b - 1. Let m be j(7). Let u = m + 41. What is the remainder when c is divided by u?
23
Let r(f) = 4*f - 7. Suppose 4*h - 263 = -0*h + c, h - 5*c = 80. Calculate the remainder when h is divided by r(6).
14
Let y(z) = z**2 + 28*z - 196. What is the remainder when 357 is divided by y(6)?
5
Let n be (-149)/3 - (6 - 51/9). Let t = 88 + n. Suppose 12 = -2*z + 52. What is the remainder when t is divided by z?
18
Suppose -12*n + 201 = -2775. Calculate the remainder when n is divided by 15.
8
Suppose 60 = 5*a - 2*f, -5*f = -4*a + 14 + 17. Calculate the remainder when 152 is divided by a.
12
Let i = -516 - -575. Calculate the remainder when 105 is divided by i.
46
Suppose 8 = -3*o + o, -3*a - 20 = 5*o. Suppose -4*r + 3*n + 404 = a, -4*r = 2*n - 394 - 10. What is the remainder when r is divided by 34?
33
What is the remainder when 5 - ((-346)/1 - -2) is divided by 70?
69
Calculate the remainder when 1*(10 - (-100 - -9)) is divided by 13.
10
What is the remainder when 5412/54 - (-6)/(-27) is divided by 17?
15
Let a(w) = -116*w - 8907. Suppose -4*n + 5*o + 316 = 0, 2*n = 3*n + 5*o - 54. Calculate the remainder when n is divided by a(-77).
24
Calculate the remainder when (4 - -1) + 9 + -12 + 779 is divided by 14.
11
Let h(g) be the second derivative of -g**3/6 + 9*g**2 - 20*g. Calculate the remainder when h(7) is divided by 4.
3
Let s(i) = -i + 4. Let p be s(-5). Suppose 5*u - p = 2*u. Suppose 22 = 5*w - u. Calculate the remainder when 13 is divided by w.
3
Let k = -5492 + 5542. Suppose 4*v = -8*q + 3*q + 65, -q + 32 = -3*v. Calculate the remainder when k is divided by q.
16
Let a(n) = 13*n - 98. What is the remainder when a(13) is divided by 1 + 2 + -3 - -18?
17
Suppose 9*k = 22*k + 156. Let n(i) be the first derivative of -i**3/3 - 7*i**2 + 5*i - 1. Calculate the remainder when n(k) is divided by 8.
5
Let y = -67 + 79. What is the remainder when 382 is divided by y?
10
Let i = -16 + 19. Suppose i*n = -1 + 13. Suppose p = -2*f + 24, 4*f - 49 = n*p - 13. What is the remainder when 18 is divided by f?
7
Let v = -20 - -27. Suppose -3*b = -v*b + 12. Suppose 0 = b*p + p - 168. Calculate the remainder when p is divided by 9.
6
Suppose 2*v - v - 2*r = -4, 5*v + 4*r = 22. Let t = 25 + v. Calculate the remainder when t is divided by 7.
6
Let s = 392 - 370. Suppose -3*g + 725 = 134. Calculate the remainder when g is divided by s.
21
Suppose 114 = 6*a - 0*a. Let b be (-4)/1 + a + 1. Calculate the remainder when (-4)/(b/(-28))*5 is divided by 9.
8
Let b(s) = -s**2 + s + 38. What is the remainder when b(-5) is divided by (-1 + 6)*-1*-1?
3
Let f = -15 + 8. What is the remainder when ((-18877)/878)/((-2)/4) is divided by (-103)/f - 2/(-7)?
13
Let r = 778 + -752. What is the remainder when r is divided by 16 - (-3 + 1 - -4)?
12
Let m be (3/2 + -1)*-8. Let c = -1 - m. What is the remainder when (c + -1)*(-188)/(-8) is divided by 16?
15
Let t = -521 + 699. What is the remainder when t is divided by 25?
3
Suppose 6 = 2*c, -r + 137 = 4*r + 4*c. Let q = 1389 - 1383. Calculate the remainder when r is divided by q.
1
Let y(t) = -t**2 + 30*t - 34. Calculate the remainder when y(19) is divided by 44.
43
Suppose 12 = 2*w + w. Let k(z) be the second derivative of -3*z**5/4 - z**4/12 - z**3/6 + z. Calculate the remainder when k(-1) is divided by w.
3
Let g be (-4)/(3*(-5)/(-15)). Calculate the remainder when g - (-12*(-5)/(-1) + -1) is divided by 12.
9
Calculate the remainder when 194 is divided by -7*80/(-70) - -116.
70
Let t be 6*1/2*-1*-14. Let d = 49 - t. Calculate the remainder when 13 is divided by d.
6
Suppose -106 - 118 = -4*c. Suppose s = -3*z + 56, -15 - 21 = -3*z + 3*s. Calculate the remainder when c is divided by z.
5
Suppose -5*g + 152 + 83 = 0. What is the remainder when 280 is divided by g?
45
Let a = -2 + -1. Let x(i) = 34*i + 69. Let r be x(-2). Calculate the remainder when 16 + (r - 6 - a) is divided by 5.
4
Suppose 5*c + b - 10 = 0, 4 = 3*c - c - 4*b. Suppose 7*i - c*i - 10 = 0. Suppose 44 = -i*l + 4*l. Calculate the remainder when l is divided by 6.
4
Suppose 25*c = 18*c + 63. Let a = 28 + -11. Calculate the remainder when a is divided by c.
8
Let n = 77 + -10. Calculate the remainder when -2 - -1 - (9 - n) is divided by 15.
12
Let o be (-1 - (-52)/(-8))*(-28)/(-6). Let c = o - -88. What is the remainder when 317 is divided by c?
52
Suppose -2*r - 13 + 41 = 0. Suppose 64 - r = -5*m. What is the remainder when 20 is divided by (28/10)/((-4)/m)?
6
Suppose 4222 = 19*q - 2599. Calculate the remainder when q is divided by 30.
29
Let v = -34 + 63. Let g(l) = l**2 + 14*l - 17. Let r(k) = -6*k**2 - 71*k + 84. Let i(p) = 11*g(p) + 2*r(p). What is the remainder when v is divided by i(9)?
5
Suppose c - 422 = -5*j, 0*j - 2*j - 4*c = -158. Let k = 132 - j. What is the remainder when k is divided by 24?
23
Let n = 341 + -323. Calculate the remainder when 953 is divided by n.
17
Calculate the remainder when 383 + 2 + 4 + -7 is divided by 12.
10
Suppose 5*f + 13 - 3 = 0. Let u(b) = -12*b - 2. Calculate the remainder when u(f) is divided by 8.
6
Let a = 128 - 63. What is the remainder when 584 is divided by a?
64
Let y = -313 + 319. Calculate the remainder when 22 is divided by y.
4
Let s(g) = -3*g**2 - 3*g - 12. Let l(d) = 7*d**2 + 6*d + 25. Let t(b) = -2*l(b) - 5*s(b). Calculate the remainder when t(9) is divided by 24.
22
Let j be (-2 - 100/(-12))*3. Suppose -5 = -4*w + j. What is the remainder when 21 is divided by w?
3
Let v(q) = q**3 + 10*q**2 - 13*q - 3. Suppose -10*g - 603 = -1873. Calculate the remainder when g is divided by v(-11).
13
Let z be (-189)/(-6) - 3/6. Suppose 59 = 3*u - z. Let a(b) = -b**3 + 7*b**2 - 25*b + 125. What is the remainder when u is divided by a(6)?
8
Let v = -127 - -135. What is the remainder when v is divided by 2?
0
What is the remainder when 2202 is divided by (21 - (-13 - -4))*1/2?
12
Let n be (4/2 + (5 - -6))*1. Suppose 288 = 3*i + n*i. Calculate the remainder when 71 is divided by i.
17
Suppose 0 = 5*l - 20, -i + 2*l = -16 + 4. Suppose a = -5*j + 181, 3*j - 8*a = -3*a + 131. Let w = 44 - j. Calculate the remainder when i is divided by w.
6
Let t(f)