0 - -19. Suppose f*n = 14*n + 35. Calculate the remainder when 18 is divided by n.
4
Let o(m) = -m**2 + 8*m - 10. Let p be o(7). Let f(b) = -20*b - 3. Suppose -2*g = 5*y - 76 + 22, 24 = y - 4*g. Calculate the remainder when f(p) is divided by y.
9
Suppose 13*h - 21 = 6*h. Suppose -3*q - 39 = -3*k, -4 + 35 = h*k + q. What is the remainder when k is divided by 6?
5
Let c = -311 - -561. Let s = c + -208. Suppose 2*t = 34 - 12. Calculate the remainder when s is divided by t.
9
Let h(y) = y**3 + 8*y**2 + 8*y + 6. Let t be h(-7). Let d = t - -7. Calculate the remainder when 22 is divided by d.
4
Suppose 0 = 5*l + z - 318, -l + 21 = 4*z - 54. Let u = -47 + 80. What is the remainder when l is divided by u?
30
What is the remainder when 65 is divided by (0 - 1)/((-1)/14)?
9
Let q(c) = 40*c - 67. Let x be q(9). Suppose x = 5*t - 2*h - 56, -10 = 5*h. Calculate the remainder when 137 is divided by t.
68
Suppose -2*x - 5*m = -41, -2*m + 9 - 39 = -5*x. Suppose -3*t - 5*r = -67, t + 2*r - 3*r - 25 = 0. What is the remainder when t is divided by x?
0
Calculate the remainder when 404 is divided by -2 - 6/(48/(-88)).
8
Let b(i) = -6*i - 19. Let v(r) = 4*r + 13. Let x(z) = -5*b(z) - 8*v(z). What is the remainder when 20 is divided by x(-10)?
9
Suppose -j = -2*h + 38, 4*j + j = -4*h + 62. Suppose -5*x = h - 78. Calculate the remainder when 58 is divided by x.
10
Let g(x) = 125*x + 5. What is the remainder when g(1) is divided by 11?
9
Suppose 23 = -5*n - 7. Let k(l) = 2*l + 21. Calculate the remainder when 69 is divided by k(n).
6
Calculate the remainder when 2643 is divided by 4/10*135/3.
15
Let f = -66 - -113. Suppose 0*l + l - 43 = -r, -2*l + 4*r = -104. Suppose -2*q - l = -3*j, -j + q = 2*q - 7. Calculate the remainder when f is divided by j.
11
Suppose -1094 = 62*h - 5248. Calculate the remainder when 228 is divided by h.
27
What is the remainder when 195 is divided by ((-27)/(-12))/(6*(-2)/(-352))?
63
Let h = -3 - -5. Suppose 58 = 2*j + 4*n, 3*n = -5*j + h*n + 127. What is the remainder when (-345)/(-7) + (-2)/7 is divided by j?
24
Suppose 4*x - 22 - 2 = 0. Suppose -108 = 2*o - x*o. Let a = -28 + 43. Calculate the remainder when o is divided by a.
12
Let y(g) = -15*g - 365. What is the remainder when y(-34) is divided by 17?
9
Let t(g) = 4*g**2 - 12*g - 44. Calculate the remainder when t(-9) is divided by 10.
8
Let a(d) = -4*d + 108. Let h be a(0). Let i = 115 - h. What is the remainder when 145 is divided by i?
5
Let m = 8 - -2. Suppose -3*p + 56 = 2. What is the remainder when p is divided by m?
8
Let h(o) = -o**3 + o**2 + o. Calculate the remainder when h(-2) is divided by 18/2 - 1 - 2.
4
Suppose 0 = 2*m - 5*a - 84 + 29, 0 = -3*m - a + 91. Suppose -2*y = -60 - 114. What is the remainder when y is divided by m?
27
Suppose 4*m - 4*u - 368 = 0, 2*m + 179*u - 182*u = 179. Calculate the remainder when 386 is divided by m.
95
Let j = 61 + -57. Calculate the remainder when 73 is divided by -4 - -25 - (4/(-2) + j).
16
Let s = -2 - -2. Suppose -a - 5*v = 20, -3*v - 12 = -a - s*v. Suppose a = 4*q + 3*j - 15, q - 3*j = -0*j. Calculate the remainder when 9 is divided by q.
0
Let n(r) = 10*r**2 - 7*r. Let o be n(3). Suppose 2*t + 4 = -2*m + 38, -5*m = t - o. Calculate the remainder when m is divided by 11.
2
What is the remainder when 812 is divided by (-4)/(-52) - (-16548)/182?
84
Calculate the remainder when 3*37 + (18 - 10) is divided by 42.
35
Calculate the remainder when 50 is divided by (-5*(-10)/25)/(3 - 2).
0
Let u be 1653/38*4/(-6). Let a = 12 + u. Let h = 94 + a. Calculate the remainder when h is divided by 20.
17
Let u = -28 - -31. Suppose 2*g = 5*l - 137, l = -0*l - u*g + 24. What is the remainder when 53 is divided by l?
26
Suppose -2 = -2*k + 50. Calculate the remainder when k is divided by (-18)/4*4/(-2).
8
Let p(u) = -3 + 4 + 1 - 32*u + 0 + 30*u. Let o(v) = -5*v**2. Let s be o(1). What is the remainder when 23 is divided by p(s)?
11
Suppose -15*a = -5*a - 470. What is the remainder when 70 is divided by a?
23
Let j(q) = 17*q - 589. Calculate the remainder when 78 is divided by j(35).
0
Let o(u) = 2*u + 13. Let q be o(4). Let l = q + 0. What is the remainder when 58 is divided by l?
16
Suppose -w + 4*m = -82, 3*w - 5*w - 5*m = -164. Let y be 3 - (3 + -7) - 1. Suppose 0 = -2*b + y + 36. What is the remainder when w is divided by b?
19
Let j(u) = u**2 - 7 - 4 + 19 + 11*u. Calculate the remainder when j(-12) is divided by 8.
4
Suppose 3*w - 70 = 4*f - 2*w, 0 = 2*f + w + 42. What is the remainder when 13 is divided by (-3)/15 + (-144)/f?
6
Suppose 46 + 1130 = 24*d. Calculate the remainder when 64 is divided by d.
15
Let z = 8 - 6. Suppose 3*q + j + 6 = 0, -z*j - 2 = 4. Let v(s) = -55*s - 1. What is the remainder when v(q) is divided by 19?
16
Let w(f) = f**2 - 5*f + 8. Let p be w(6). Suppose -g + 3*s = -3*g + 114, 3*s = 4*g - 228. What is the remainder when g is divided by (-12)/(-42) - (-402)/p?
28
Suppose 2*k + k = 6. Suppose -3*f + 2*f - 3*l - 13 = 0, 18 = 4*f - k*l. What is the remainder when 5 is divided by f?
1
Let h(y) = -y**2 - 4*y + 45. Let l be h(0). Let j = l + -38. What is the remainder when 27 is divided by j?
6
Let z(y) = 0 + 7*y**2 + 16 + y**3 - 107*y + 106*y. What is the remainder when z(-5) is divided by 18?
17
Let g(p) = -p**2 + 4*p - 1. Let l be g(3). Suppose -17 = -l*x + 29. Suppose -7 = 4*c - x. What is the remainder when 15 is divided by c?
3
Suppose -13*t + 7*t + 624 = 0. Let g = -7 + t. What is the remainder when g is divided by 33?
31
What is the remainder when 137 is divided by 1792/168*-1*9/(-4)?
17
Let i = -347 - -382. Calculate the remainder when 103 is divided by i.
33
Let r be (12/(-2))/((-1)/1). Suppose c + r = 3. Calculate the remainder when (1 + 4 + c)*2 is divided by 2.
0
Let z(l) = -7*l + 19*l**2 + 20 + 2*l**3 - 27*l**2 + 2*l**3 - 5*l**3. What is the remainder when 56 is divided by z(-7)?
16
Suppose z + 0*z + 75 = -4*d, -5*z = -2*d + 287. Let j = 76 + z. Calculate the remainder when 67 is divided by j.
16
Let b be (0 - (-2 + 0))/(1/8). Let k(z) = 35*z**3 - z. Let m be k(1). Let w = m - b. What is the remainder when w is divided by 4?
2
Calculate the remainder when 94 is divided by 44 - 24 - (-6 + 0).
16
Let o = -99 + 160. Let b = 26 - 21. Suppose 5*u = 3*c - 68, u - 4*u + 68 = b*c. What is the remainder when o is divided by c?
13
Suppose l = 5*a - 183, -4*a = 5*l - 219 + 61. What is the remainder when a is divided by 6?
1
Suppose -5*f + o = 8, 0 = 5*f + 4*o - 0 - 7. Suppose -l + 2*c = 4*l - 103, 0 = -l - 3*c + 24. What is the remainder when l is divided by (f/(-3))/((-1)/(-18))?
3
Suppose -394 - 48 = -13*r. Calculate the remainder when 99 is divided by r.
31
Suppose 0 = -3*h - h + 124. Let c(m) = m**2 + 4*m + 4. Let b be c(-4). Suppose b*o = -q + 4*q - 47, 2*q = -o + 35. What is the remainder when h is divided by q?
14
Let h = -2749 - -2773. What is the remainder when (94/4)/((-2)/(-12)) is divided by h?
21
Suppose 2*b - 1 = 2*v - 147, 5*b - 73 = -v. What is the remainder when v is divided by 27?
19
Let k be 16/6 - 8/12. Suppose -k*q + 87 = c, 4*q - 4*c = 147 - 3. Calculate the remainder when q is divided by 9.
5
Let u(g) = -g**3 + 13*g**2 - 8*g - 1. Let v(q) = -q**2 + q + 1. Let i(p) = u(p) + 5*v(p). Calculate the remainder when i(7) is divided by 11.
10
Suppose 0 = y - 2*u - 3*u + 17, 4*y + 4 = 4*u. Let r(j) = -6*j - 2*j**y + 3*j**3 + 0*j**3 + 6*j**2 + 9. Calculate the remainder when 5 is divided by r(-7).
1
Let z = 0 - 1. Suppose -160 = -128*h + 108*h. What is the remainder when 2 + (z - -1) - -19 is divided by h?
5
Let t = -161 - -256. Calculate the remainder when t is divided by 51.
44
Suppose -m - 3*s + 15 - 11 = 0, -96 = -4*m + 4*s. What is the remainder when 36 is divided by m?
17
Let f = 9 + -6. Suppose 375 - f = 5*l + 2*a, 4*a + 244 = 3*l. Calculate the remainder when l is divided by 26.
24
Let x = -591 - -627. Calculate the remainder when 502 is divided by x.
34
Let k(h) = -h + 11. Suppose -t = -3*t + 6*t. Calculate the remainder when k(t) is divided by 4/(-18) - 168/(-27).
5
Suppose 11 - 1 = 5*l. Suppose l*h - 2*i - 38 = 0, -i - 4 = i. Calculate the remainder when 50 is divided by h.
16
Suppose -12 = 3*s, 0 = 31*q - 30*q + 4*s + 1. Suppose -3*k + 4*j + 49 = 2*k, 3*k - 30 = 3*j. What is the remainder when