6, 0 = t + 4*f - 23 + 7. Let q = 21 + 4. Let h = -2 + q. What is the remainder when h is divided by t?
7
Suppose 0 = 2*m - 3*w - 17, -7 + 0 = -m + w. Suppose -4*a + 38 = -5*v, 3*a - m - 30 = v. Let r = a + 5. Calculate the remainder when 66 is divided by r.
15
Let s(i) = i - 38. Let y be s(8). Let o = 90 - y. Calculate the remainder when o is divided by 25.
20
Let l = 574 - 343. Calculate the remainder when l is divided by 39.
36
Let b = -146 + 190. Calculate the remainder when 171 is divided by b.
39
Calculate the remainder when 97 is divided by (70/4)/(297/(-22) + 14).
27
Suppose -5*g = -3*m - 7, m + 3 = 4*m. Suppose 3*b = -9 + 3, -2*b + 14 = g*z. What is the remainder when 23 is divided by z?
5
Let k(f) = f**3 + 2*f**2 + 16. Let w be k(0). Let j = w - 16. Suppose 4*v + 3*c - 39 = j, -14 = -2*v + c + 3*c. What is the remainder when 32 is divided by v?
5
Let n(p) = 2*p**2 + 3*p - 2. Let r(y) = -y - 7. Let b be r(-12). Suppose 0 = x - g - g - 1, -b*x - 22 = -g. What is the remainder when n(x) is divided by 17?
16
Suppose -44*r - 147 = -51*r. Calculate the remainder when 753 is divided by r.
18
Suppose 53*x + 7104 = 69*x. What is the remainder when x is divided by 64?
60
Let c = -71 - -166. What is the remainder when c is divided by 20?
15
Let d = -47 - -58. What is the remainder when 164 is divided by d?
10
Suppose -v = 30*v - 837. What is the remainder when 78 is divided by v?
24
Let i = 352 + -336. Calculate the remainder when 301 is divided by i.
13
Suppose 290*k - 2622 = 267*k. Calculate the remainder when k is divided by 36.
6
Let j(l) = l**3 - 7*l**2 + 12*l - 1. Let q be j(5). Let t be (9 - 13) + (q - 2). Let b = t - -8. What is the remainder when 21 is divided by b?
10
Let i = -45 - -94. Let f(q) = q**2 - 2*q + 5. What is the remainder when i is divided by f(4)?
10
Suppose 0 = -2*c + 5*r + 34 + 30, -3*c = -3*r - 69. Suppose l - 1 + 4 = 0, 4*z - 24 = -4*l. Calculate the remainder when c is divided by z.
8
Let z(n) = -n + 44. Let c be z(0). Suppose -31 - c = -3*a. Let m = a - 14. Calculate the remainder when 31 is divided by m.
9
Let q(a) = 2*a**3 + 4. Let n be q(0). Suppose -5*u - 849 = -n*r, 3*r - 628 = 3*u - u. Calculate the remainder when r is divided by 42.
38
Suppose -85 = -6*a + 479. Calculate the remainder when a is divided by 33.
28
Let t = -10 - -10. Suppose t = -5*b + 266 + 9. Suppose b = 2*o - 133. Calculate the remainder when o is divided by 24.
22
Suppose 2*r + 65 = -3*v, -r - 24 = -v + 21. Let m = 58 + r. Suppose 5*q - 92 - 78 = 0. What is the remainder when q is divided by m?
16
Suppose 0 = z - 5*x - 89, -3*z + 4*x = -4*z + 62. Calculate the remainder when 221 is divided by z.
73
Suppose 5 - 23 = -6*p. Let z be -74 + (p - (0 + 0)). Let y = -34 - z. What is the remainder when y is divided by 8?
5
Suppose -i + 19 = 4*k - 14, 3*k = 5*i - 96. What is the remainder when i is divided by 16?
5
Let z = -4 + 1. Let k = 1 + z. Let d(l) = l**3 + 5*l**2 + l + 1. Calculate the remainder when 21 is divided by d(k).
10
Suppose -4*i = 5*t - 183, -4*t + 5*i + 25 = -3*t. What is the remainder when 134 is divided by t?
29
Let v(j) = j - 3 - 3*j + 22*j**2 - 14*j**2 - 7*j**2. Let f be v(3). Suppose 2*w + f = 18. Calculate the remainder when 15 is divided by w.
6
Suppose 11*d = 17*d + 6. What is the remainder when (d + -8)*(-24)/8 is divided by 10?
7
Let s(n) = 6*n**2 + 5*n + 53. Calculate the remainder when s(-5) is divided by 45.
43
Suppose 2*q + 169 = 3*l, -18*l + 17*l + 57 = -q. What is the remainder when 61 is divided by l?
6
Let q = 38 + -67. Let l = -13 - q. What is the remainder when 61 is divided by l?
13
Suppose -29 - 123 = -4*c. Let q(n) = 3*n - 20 + 8*n - 3*n - 3*n. Calculate the remainder when c is divided by q(8).
18
Let w = 44 - 75. Let t = -3 - w. What is the remainder when 195 is divided by t?
27
Let g(w) = 9*w - 22. Let u be g(4). What is the remainder when 107 is divided by u - 6*4*3/24?
8
Let k = -79 + 41. Let t = k - -45. Calculate the remainder when t is divided by 5.
2
Let w(g) = 59*g**3 - g**2 + g + 2. Let n be w(-1). Let j = n + 84. Calculate the remainder when j is divided by 14.
11
Let c(g) = -2*g**3 - 13*g**2 + 13*g - 25. What is the remainder when c(-8) is divided by 7?
0
Let f(k) = 71*k + 3. Let w be f(1). Let o = w - 47. What is the remainder when 107 is divided by o?
26
Suppose 4*n + n - 78 = 4*o, 2*n = o + 33. Suppose h + 0*h - 2 = 0. Suppose -h*v + 3*v - 5 = 0. Calculate the remainder when n is divided by v.
3
Let a(u) = 4*u**2 + 6*u + 2. Let h be a(-2). Let q be (38/h)/((-7)/(-21)). Suppose 2*i = 21 + q. What is the remainder when 78 is divided by i?
18
Let o = 13 - 11. Let h(w) = -9*w**2 - w**3 + 0*w**3 - 2*w + 3*w**o + 4. Calculate the remainder when 31 is divided by h(-6).
15
Let d(v) = v + 9. Let a(r) = r + 2. Let f be a(4). Let u(t) = 3*t**2 - 9*t + 9. What is the remainder when u(f) is divided by d(4)?
11
Let h = 3756 - 2247. Calculate the remainder when h is divided by 54.
51
Let s = 71 - 70. Suppose 3*v - u - 24 = -s, -5*u - 35 = -5*v. Calculate the remainder when 27 is divided by v.
3
Suppose -4*f + 5*d = -3*f - 243, -3*f + d + 687 = 0. What is the remainder when f is divided by 66?
30
Let w = -8 + -8. Let s be (-216)/30 + 3/15. Let a = s - w. What is the remainder when 26 is divided by a?
8
Let h = 39 + -21. Let f = h + -16. What is the remainder when 9 is divided by f?
1
Let t = 0 + 79. Let y(o) be the second derivative of -o**3/6 + 4*o**2 + 6*o. Calculate the remainder when t is divided by y(-12).
19
Let l(h) = 18*h**2 - 5 - h**3 - 2*h**2 - 9*h**2 - h - 4*h. Let u = -18 - -55. Calculate the remainder when u is divided by l(5).
17
Suppose 4*s = 5*s + 3, s = -2*m + 107. What is the remainder when m is divided by ((-14)/(-4)*-4)/(-2)?
6
Let u be (-45)/3 + (-9)/(-3). Let f(t) = -6*t + 56. Let o(l) = l - 11. Let z(y) = 4*f(y) + 22*o(y). Calculate the remainder when 9 is divided by z(u).
3
Let n(y) = -y**3 - 6*y**2 + 6*y - 11. Let q(j) = j**3 + 9*j**2 + 7*j - 1. Let o be q(-8). Calculate the remainder when n(-8) is divided by (10 - 11)*-2*o.
13
Suppose -2*k + 273 = -3*m + 40, -4*m = -k + 124. What is the remainder when k is divided by 20?
12
Suppose 5*o + 10 = 10*o. Suppose -4*a = d - 18, -4*d + 22 = -3*d + o*a. What is the remainder when d is divided by -4*(0 - (-21)/(-12))?
5
Let v(b) = -b + 9. Let d be v(9). Suppose d = -0*u - u + 17. Suppose 4*q - 17 - u = 2*o, 2*o = 10. What is the remainder when q is divided by 3?
2
Let b(l) = 197*l - 253. What is the remainder when b(3) is divided by 11?
8
Suppose 0 = 22*s - 24*s - 22. Let v be 8/20 - (-12)/(-5). Let h = v - s. What is the remainder when 15 is divided by h?
6
Suppose -1192 = -2*k + 206. Calculate the remainder when k is divided by 25.
24
Let q = -56 - -32. Let p = 61 + q. Suppose 3*w + w - 2 = -z, -64 = -5*z - 2*w. What is the remainder when p is divided by z?
9
Let f(g) = 7*g + 55. Let a(p) = -2*p**3 - 8*p**2 + 4*p - 5. Calculate the remainder when a(-6) is divided by f(-6).
11
Suppose -2*x + 32 + 1 = -g, 0 = -5*g - 5. What is the remainder when 366 is divided by x?
14
What is the remainder when ((-143)/(-4 + -7))/1 is divided by 1?
0
Let a(l) = 3*l**2 - 11 - 2*l**2 + 5. Let s = 82 - 48. What is the remainder when s is divided by a(5)?
15
Calculate the remainder when (-6)/56*-7 + (-1330)/(-8) is divided by 59.
49
Suppose -121 = -2*p - 0*l - 5*l, 0 = -2*p + 4*l + 112. Let n = -47 - -53. Calculate the remainder when p is divided by 116/6 - n/(-9).
18
Let u = 610 - 398. What is the remainder when u is divided by 27?
23
Let a(f) be the second derivative of -f**3/2 - 5*f**2/2 - 13*f. What is the remainder when 85 is divided by a(-9)?
19
Suppose -2429*f + 2442*f = 845. What is the remainder when f is divided by 26?
13
Suppose -1 = -a - 3*y + y, 5*a + 3*y = 5. Suppose a - 7 = -3*i. Suppose i*m + 4*b - 44 = 0, 2*m = 5*m + b - 41. What is the remainder when 35 is divided by m?
11
Let x = -14 + 68. Let c = 17 - 3. What is the remainder when x is divided by c?
12
Suppose -z - 3 = 2*w, -z - w = 1 + 1. What is the remainder when (765/12 - 1) + z/(-4) is divided by 32?
31
Let y = 102 + 76. Suppose 4*h - 252 = -14*g + 18*g, -g - 124 = -2*h. What is the remainder when y is divided by h?
56
Let h = 388 + -311. What is the remainder when h is divided by 23?
8