Let v be 1/(0 + (-2)/4). Calculate the remainder when 3*((-70)/g + v) is divided by 8.
5
Let a(f) = -f**3 - 5*f**2 - 11*f + 2. Calculate the remainder when a(-6) is divided by 21.
20
Let h(b) = b**3 - 8*b**2 - 28*b + 176. What is the remainder when h(12) is divided by 38?
36
Suppose 23*f = 2123 + 177. What is the remainder when f is divided by 43?
14
Let c be (2/3)/((-4)/(-144)). Suppose 0 = 9*d - 5*d - 8. Suppose 45 = 2*q - h, d*q - 3*q = -h - c. What is the remainder when 60 is divided by q?
18
Let c(q) = q**2 + q + 7. Let t be c(-8). Calculate the remainder when 18/t + 488/7 is divided by 12.
10
Suppose 0*c + 31*c - 2852 = 0. Calculate the remainder when 173 is divided by c.
81
Suppose -2*q - 25 + 5 = 0. Let w = q - -12. Suppose z = -1, w*z = -0*b - 4*b + 66. Calculate the remainder when 49 is divided by b.
15
Let c be 9/2*32/24. Suppose -c*x = x - 196. What is the remainder when 165 is divided by x?
25
What is the remainder when (-21 + 11 - -9)*(-114)/1 is divided by 15?
9
Let u = -93 - -89. Let r(h) = -h**3 + 0*h**3 - 4 + 0 - 6*h - 4*h**2. Calculate the remainder when 78 is divided by r(u).
18
Suppose 3*q + 95 = -139. Calculate the remainder when (-1 - q) + -2 + 0 is divided by 19.
18
Let x = 256 - 193. What is the remainder when x is divided by 17?
12
Suppose 4*k - 44 = 2*k. Calculate the remainder when k is divided by 17.
5
Suppose 3*v - 4 - 7 = 2*s, -2*s - v + 9 = 0. Suppose 0 = -4*z - 5*d + 96, 2*z = -z - s*d + 65. Calculate the remainder when z is divided by 7.
5
Suppose -3*u = 4*a - 149 - 88, 3*u + a = 237. Suppose -2*j + 425 = u. Calculate the remainder when j is divided by 35.
33
Let y be (3 + -2)/2*168. Suppose -2*b - y = -5*b + 2*h, 5*b - h = 140. Calculate the remainder when b is divided by 15.
13
Let o(g) = -15*g**3 + g**2 - 2*g - 2. Let u be 4/((-64)/4)*4. Calculate the remainder when 29 is divided by o(u).
13
Suppose 4*w - 2*l - 275 + 25 = 0, l = -5. Let j = -21 + -10. Let n = w + j. Calculate the remainder when 114 is divided by n.
27
Suppose r - 5*l + 3 - 7 = 0, 5*l + 60 = 5*r. Let p = -4 + r. Suppose 5*o = 5*h - 415, -p = -3*o - 2*o. Calculate the remainder when h is divided by 22.
19
Suppose -5*s - 3*v = -42, -5*s + v + 46 = 5*v. Suppose 7 = 5*y - 4*y + 2*g, 2*g = y - 3. What is the remainder when s is divided by y?
1
Suppose 0 = -4*c - 2*k - 172, 2*k - 3*k = -5*c - 208. Let q = c - -72. Let z = 8 - 0. Calculate the remainder when q is divided by z.
6
Suppose 239*f - 235*f = -c + 52, -22 = -3*f - 5*c. Suppose 0 = -2*v + 4*v - 218. Calculate the remainder when v is divided by f.
11
What is the remainder when 1*-3*(-2 + 22792/(-33)) is divided by 32?
30
Suppose 0*s - 2 = 2*h + 2*s, 4*s = 4*h - 36. Let v(z) = -z**3 + 5*z**2 + 4*z + 5. Let i be v(6). Let y = h - i. What is the remainder when 19 is divided by y?
8
Let r be (-658)/(-11) - (-5)/((-165)/(-6)). Suppose 5*l = 25 + r. What is the remainder when 31/(-2)*(2 - 4) is divided by l?
14
Suppose -1328*k + 1319*k = -342. Calculate the remainder when 187 is divided by k.
35
Let k(o) = -o**3 - 35*o**2 + 37*o + 49. What is the remainder when 89 is divided by k(-36)?
11
Let v = -1 + 3. Suppose 0 = -v*l + 2*p - 10, 16 + 9 = 5*p. Suppose l = 4*b, y + 0*y - 4*b = 18. What is the remainder when y is divided by 4?
2
Suppose -5*w + 196 + 124 = 0. Let x = -29 + w. What is the remainder when x is divided by 12?
11
Let c = 26 + -23. Suppose -5*a = 3*x - 64, -5*x = -c*a - 36 - 14. Calculate the remainder when 24 is divided by x.
11
Suppose -2*t = -q - 3*t + 6, q - 3*t - 6 = 0. What is the remainder when (88/6)/(10/15) is divided by q?
4
Suppose -2*x + 5*t - 3*t = -106, 255 = 5*x + 5*t. Suppose r = 8 - 0. Suppose r*s - 72 = 4*s. What is the remainder when x is divided by s?
16
Suppose 0 = -13*j + 228 + 97. Calculate the remainder when 92 is divided by j.
17
Suppose 4*o - 3*s - 27 = -o, -2*o - 2 = 2*s. Suppose 4*u = 20, u = -o*t + 6*u - 70. Let b = 25 + t. What is the remainder when b is divided by 3?
1
Suppose -3*p + 5*o + 25 = 0, -7*p + 2*p + 15 = -3*o. Suppose s = -p*s + 13. Calculate the remainder when s is divided by 8.
5
Let g(c) = -31*c - 252. Calculate the remainder when g(-34) is divided by 73.
72
Suppose -5*g - 5 = 0, -4*p + 2*p - 2*g + 10110 = 0. Calculate the remainder when (p/(-160))/(1/(-5)) is divided by 54.
50
Let x be (1 + 2)*(-6)/(-9). Suppose 2*o - o + x = 0. Let a = o + 9. What is the remainder when a is divided by 2?
1
Suppose 6 = -q - 0. Suppose 36 = -2*x + 5*x + 3*z, -2*x - z = -25. Calculate the remainder when (68/q)/(10/(-45)) is divided by x.
12
Let h(t) = 3*t**3 - 8*t**2 + 11*t - 8. Let a be h(4). Suppose 0*v - 72 = -4*b + 2*v, 4*b + 5*v = a. Calculate the remainder when 59 is divided by b.
19
Let y(i) = -i**3 - 11*i**2 + 6*i + 52. Calculate the remainder when y(-12) is divided by 25.
24
Let p(v) = -v**3 - 12*v**2 - 13*v - 18. Let r be p(-11). Suppose 27 - 203 = -r*o. What is the remainder when 129 is divided by o?
41
Let d = 906 + -551. What is the remainder when d is divided by 60?
55
Suppose 3*q + 6 = q. Calculate the remainder when ((-17)/q)/(2/6) is divided by 9.
8
Let o(z) = z**3 + 1. Let j be o(-1). Suppose -36 = -4*l - 3*c + 1, 0 = l + c - 9. What is the remainder when l is divided by 4 - (1 + (j - 0))?
1
Suppose 3*i + 97 = -4*t, -2*t + t + 37 = -i. Let q = i + 72. Calculate the remainder when q is divided by (-20)/(-8)*16/5.
5
Suppose h + 62 = 6*h + u, -52 = -5*h + 4*u. Let c(p) = 4*p**2 - 5*p**2 - 5 + h*p - 6 + 3. Calculate the remainder when c(8) is divided by 5.
4
Let b be (1 - 0)*(-36 - 5). Let s = b + 73. Calculate the remainder when s is divided by 11.
10
Suppose -6 = -6*t + 12. Suppose 4*i = 5*m + t, -2*i + 7*i - 4*m - 6 = 0. Suppose -103 = -i*k - 27. Calculate the remainder when 73 is divided by k.
35
Suppose 0*p = -p + 4. Suppose 5*n = -o + 166, p*o - 2 = 2*o. Let k(d) = -d**3 - 2*d**2 + d + 3. Calculate the remainder when n is divided by k(-3).
6
Suppose -3*w - 79 = 4*l, -3*w - 2*l = -0*l + 89. Let o = 79 + w. Let h = o - 27. Calculate the remainder when 55 is divided by h.
17
Let c = 38 + -19. Let k(o) be the first derivative of -o**3/3 + 11*o**2/2 - 17*o - 12. What is the remainder when c is divided by k(8)?
5
Suppose 0 = 3*j - 2 + 5, -68 = -w - 4*j. Let i = -25 - -44. What is the remainder when w is divided by i?
15
Suppose -2 - 1 = 2*j - 3*b, b + 3 = 2*j. Suppose -l + 20 = -j*l. Let t = 13 + l. Calculate the remainder when 9 is divided by t.
0
Suppose -4*i + 18 = 50. Let k = -23 - i. What is the remainder when 16 is divided by (-10)/k*81/6?
7
Calculate the remainder when (-252)/21*268/(-16) is divided by 70.
61
Let r(q) = 2*q + 13. Let a(g) = 3*g + 14. Let l(o) = -3*a(o) + 4*r(o). What is the remainder when 20 is divided by l(-2)?
8
Let u be (-324)/(-15) + (-12)/(-30). Suppose 0 = 3*l - u + 4. Calculate the remainder when l is divided by 2.
0
Let j(q) = -4*q**2 + 41*q + 16. Let m = -110 - -119. Let n(f) = f**2 + f + 1. Calculate the remainder when j(m) is divided by n(-5).
19
Suppose -279 = -3*h + 5*c, h - 5*h + 3*c = -372. Calculate the remainder when h is divided by 12.
9
Suppose -3*a - 36 = -6*a. Suppose -6*z + 7*z = 32. Let n = z - a. Calculate the remainder when n is divided by 11.
9
Suppose -4*x = -2*x - 20. Let v = -23 + x. Let o = v + 22. Calculate the remainder when 24 is divided by o.
6
Let x(h) = h**3 - 17*h**2 - 28*h - 8. What is the remainder when x(19) is divided by 92?
90
Suppose -11 - 5 = -y. Let c = -3 + y. Suppose 4*w = -w + 245. Calculate the remainder when w is divided by c.
10
Suppose -6*h = -9*h - 690. Calculate the remainder when 51 is divided by h/(-18) + (-44)/(-198).
12
Suppose 383 = 4*x + 3*c - 64, 2*x = -3*c + 231. What is the remainder when 1400 is divided by x?
104
Let r = 8 - 2. Let d be 12*(-4)/r - 3. Let c = d - -50. Calculate the remainder when c is divided by 20.
19
Let d(h) = -h**3 + h**2 + 2*h - 2. Let f be d(1). Suppose f = 4*w - 0*w - 596. Calculate the remainder when w is divided by 15.
14
Let i(r) = 16*r**2 + 76*r + 22. What is the remainder when i(12) is divided by 72?
70
Suppose z = 3*z + y - 82, -4*z + 3*y + 184 = 0. What is the remainder when 384 is divided by z?
40
Suppose 18*t + 15 = 21*t. Suppose 2*o = 4*b + 28, -t*b + 0*b = 2*o - 46. Calculate the remainder when 65 is divided by o.
11
Su