
10
Suppose 70 - 60 = 2*z. Suppose 0 = 2*n - 0*n - 6. Suppose -4*r + 0*g - g = -55, -4*r = n*g - 53. Calculate the remainder when r is divided by z.
4
Suppose 2376 = 175*i - 3924. Suppose 0 = y - 2*y + 106. Calculate the remainder when y is divided by i.
34
Let j(i) be the third derivative of -i**6/120 - i**5/12 + i**4/8 - 7*i**3/6 + 18*i**2. Calculate the remainder when 26 is divided by j(-6).
4
Let v = 39 + -37. Suppose v*c - 90 + 14 = 0. What is the remainder when c is divided by 14?
10
Let a = 17 + -15. Suppose 0 = -a*q - 0*q + 10. Let f = q - -6. What is the remainder when f is divided by 4?
3
What is the remainder when 65 is divided by 124/8 + ((-15)/2)/3?
0
Suppose 3*y - 48 = -3*y. Suppose y*u - 45 = 27. What is the remainder when 34 is divided by u?
7
Let s = 59 + -59. What is the remainder when 18 is divided by 1/(3/(21 - s))?
4
Let d be (-6)/(-5) - (-3)/(-15). What is the remainder when 1/(3/7)*(14 + d) is divided by 8?
3
Suppose -22*c - 176 = -33*c. Calculate the remainder when 174 is divided by c.
14
Let l(x) = 3*x - 1. Let o be l(1). Suppose 5 = d - v, -o*d - 3*d = 4*v - 70. Suppose r - d - 43 = 0. What is the remainder when r is divided by 9?
8
Let c be ((-4)/(-10))/(2/20). Suppose 5*p - r - 38 = 2*r, -c*r - 4 = -2*p. Let g = 90 + -72. What is the remainder when g is divided by p?
8
Suppose 3*m - 11*m + 16 = 0. Suppose m*l + 3*l = 4*d + 237, 3*l + 4*d = 123. What is the remainder when l is divided by 12?
9
Let g(o) = 3*o + 8. Let s be g(-2). Suppose 0*z - s*z - 4*u = -68, -3*u - 93 = -3*z. Calculate the remainder when 61 is divided by z.
29
Let n(l) = l**2 - 24*l + 17. Let o(h) = 5*h**2 - 121*h + 86. Let m(x) = -11*n(x) + 2*o(x). What is the remainder when m(13) is divided by 21?
18
Suppose -2*r + 21 = 1. Suppose -x + r = -2*v, 3*v = 4*x - v - 40. Suppose 0 = 2*p - 54 - 24. What is the remainder when p is divided by x?
9
Let k = 24 - 33. Let c = 17 + k. Suppose 2*o - 3*t - 77 = 0, 2*o = 4*o + 5*t - 37. What is the remainder when o is divided by c?
7
Suppose -6*w = -w + 20, 324 = 4*j - 5*w. Let g = j + -53. Calculate the remainder when 90 is divided by g.
21
Suppose -1454 = -21*m + 1045. Calculate the remainder when m is divided by 12.
11
Suppose -61 - 324 = -5*t. Let d = -384 - -400. Calculate the remainder when t is divided by d.
13
Let s = 67 + -51. Let o(t) = -t**3 + 17*t**2 - 16*t + 18. Suppose 3*j + 2 - 104 = 0. Calculate the remainder when j is divided by o(s).
16
Let s = 2677 - 2594. Calculate the remainder when s is divided by 17.
15
Suppose 3*k - 1 = -5*s + 4, -4*s - 2*k = -6. Suppose 0 = -2*r - 0*r + 10, s*r + 48 = 4*a. Calculate the remainder when a is divided by 3.
2
Suppose 0 = 5*r - 5, f = -r - 0 + 5. Suppose -f*j = -j - 219. What is the remainder when j is divided by (12 - 37)*(0 + -2 - -1)?
23
What is the remainder when 3/(-3)*(-66 + -1) is divided by ((-3)/6)/(-2*5/340)?
16
Let s = -50 - -71. Let w = 541 - 215. Suppose 5*j - w = -i - 3*i, 3*j - i - 182 = 0. Calculate the remainder when j is divided by s.
20
Suppose 9*t - 7*t = -3*v + 521, -v + t + 172 = 0. What is the remainder when v is divided by 44?
41
Let s = 938 + -744. Calculate the remainder when s is divided by 64.
2
Let m = 4 + -1. Suppose -m*l + 165 = 2*l. Calculate the remainder when 21 is divided by ((-2)/3)/((-2)/l).
10
Let c(z) = -10*z**3 - z**2 - 6*z - 5. Calculate the remainder when c(-2) is divided by 29.
25
Calculate the remainder when (18/10 - 1)*20520/24 is divided by 49.
47
Let s = -325 + 596. What is the remainder when s is divided by 39?
37
Let n be (-24)/(-36) + (1712/3)/2. Suppose -n + 99 = -17*b. Calculate the remainder when 98 is divided by b.
10
Suppose -2*t + 2*d = -132, 4*t + 4*d = 3*d + 244. Calculate the remainder when 681 is divided by t.
61
Let b(z) = 0*z - 4 + 93*z**3 + 3 - z**2 - 2*z + 4*z. Let i(h) = h**2 - 3*h + 1. Let u be i(3). What is the remainder when b(u) is divided by 24?
21
Let s = 13 - -174. What is the remainder when s is divided by 16?
11
Suppose -5*i + 3*d + 104 = -0*i, 0 = 2*i - 3*d - 38. What is the remainder when 42 is divided by i?
20
Let y = 381 - 335. What is the remainder when 47 is divided by y?
1
Let s(f) = f**3 - 19*f**2 + 36*f - 20. Calculate the remainder when 35 is divided by s(17).
7
Suppose 0 = -6*d + 3*d - i + 33, -5*d = 5*i - 45. Let z = d + 1. What is the remainder when z is divided by 7?
6
Calculate the remainder when (-2 + 1 - (-14 + -183)) + 7 is divided by 69.
65
Suppose 0 = 7*n - 49 - 98. Calculate the remainder when 71 is divided by n.
8
Let z(d) be the first derivative of d**3/3 + 7*d - 1. Let h = -828 + 833. Calculate the remainder when z(0) is divided by h.
2
Let n = 75 - 45. What is the remainder when 268 is divided by n?
28
Let r(n) = -2*n - 9. Let o be r(-6). Suppose -y - o*y = -92. Let d = 58 + 31. What is the remainder when d is divided by y?
20
Let t = 393 - -419. Calculate the remainder when t is divided by 74.
72
Let n(b) = -2*b + 43. Suppose l + 10 = 2*l + 2*u, 4 = 4*l - u. Suppose l*v = -0*v. Calculate the remainder when n(v) is divided by 11.
10
Suppose -3*a = 2*p - 141, a = -2*p + 69 + 78. What is the remainder when 157 is divided by p?
7
Let s(c) = c**2 + 2. Let r be s(0). Suppose -r*o = -13 + 5. Suppose 5*t = 3*h + 62, t - 3*t + 29 = 3*h. Calculate the remainder when t is divided by o.
1
Let h(u) = -u**3 + 15*u**2 + 7*u + 11. Let j be h(13). Suppose -11*o + 0*o = -j. Calculate the remainder when 159 is divided by o.
39
Let j = 10 - 3. Suppose -4*n + 2*c - c = -48, 3*n = 4*c + 23. What is the remainder when n is divided by j?
6
Suppose 70 = 3*v - 317. Suppose 24 = -5*f + v. Calculate the remainder when 83 is divided by f.
20
Suppose u - 3*v = 74, 365*u - 366*u + 4*v + 74 = 0. Let p(c) = 20*c**3 - 1. What is the remainder when u is divided by p(1)?
17
Let u(w) = -6*w**2 - 3*w - 3. Let d be u(-1). Calculate the remainder when 85 is divided by (-134)/d - (-3 + 2)/(-3).
19
Let w be (-76)/(-28) - (-4)/14. Suppose g - 395 = -w*r - 121, g = 5*r - 446. Calculate the remainder when r is divided by 31.
28
Let x(g) = -g**3 + 12*g**2 - 10*g - 3. Let s(d) = d**2 - 7*d - 9. What is the remainder when s(10) is divided by x(11)?
5
Let p = 127 + 54. Suppose 0 = 12*i - p - 1295. Calculate the remainder when i is divided by 25.
23
Let d(j) = j**3 - 25*j**2 + 34*j - 137. What is the remainder when d(24) is divided by 21?
19
Suppose -a = 5*i - 3*i - 13, 2*a = -5*i + 27. Suppose 2*y + 39*w - 54 = 41*w, 4*y - 133 = -w. What is the remainder when y is divided by a?
10
Suppose 4*k + p = k + 2, 0 = 5*k + 5*p + 10. Suppose -j = j + 5*o - 55, k*j = -o + 43. What is the remainder when 75 is divided by j?
15
Let o(n) = -26*n - 3. Suppose 0 = -38*s + 50*s - 120. What is the remainder when o(-2) is divided by s?
9
Suppose 56 = -12*n + 16*n. Suppose 2*l = -6, -40 = -0*u - 2*u - 4*l. What is the remainder when u is divided by n?
12
Let l(z) = z + 12. Let w = -6 + 11. Suppose 2*q + 10 = 4*x, -3*q + 25 = w*x - x. Calculate the remainder when l(-8) is divided by x.
0
Suppose 5*m - k = -5, -5*m + 6*k - 11*k + 25 = 0. Suppose -4*z - 31 + 35 = m. Calculate the remainder when 5 is divided by z.
0
Let w = 3708 + -3683. Suppose 72 = -3*x + 4*x. Calculate the remainder when x is divided by w.
22
Let t(k) = 7*k**2 + 3*k + 3. Suppose -10*f - f = 11. Calculate the remainder when 12 is divided by t(f).
5
Suppose -12 = -i + 2*k, 3*k - 4 = -2*i + 2*k. Suppose 5*v - i*v + 39 = 4*u, -5*u + 70 = 3*v. What is the remainder when 39 is divided by u?
6
Let y(i) = 20*i - 1. Suppose -2*o + 2*c = -18, 4*c + 26 = 4*o - 2*o. Suppose -275 + 5 = -o*w. Calculate the remainder when w is divided by y(1).
16
Let r(j) = 4*j**2 - 40*j - 64. What is the remainder when 108 is divided by r(12)?
12
Let z = -119 + 190. What is the remainder when z is divided by 27?
17
Let k(b) = 5*b**3 - 3*b**2 + 4. Let v be k(4). Let u = v + -92. Suppose 0*d + u = 2*m - 4*d, -5*d = 15. What is the remainder when m is divided by 29?
28
Suppose 16*h - 33 = 5*h. Let g be -1 - (4 - 2 - 19). Suppose 0 = -h*q + 2*q + g. What is the remainder when 46 is divided by q?
14
Suppose -4*z - 116 = -0*h + 4*h, 4*h + 121 = -3*z. Let n = h + 59. Suppose -r = 5*s - 27, 4*s = 2*s - 8. Calculate the remainder when r is divided by n.
22
Suppose -2*r = 437 - 463. Calculate the rem