. Let j = k - 38. What is the remainder when j is divided by 14?
11
Let q = 529 + -457. Calculate the remainder when 642 is divided by q.
66
Let c(p) = p**3 + 9*p**2 + p + 15. Let k(l) = l**2 + l + 1. Let o(a) = -c(a) + 4*k(a). What is the remainder when 18 is divided by o(-6)?
4
Suppose 0 = -3*u + 341 - 107. Calculate the remainder when u is divided by 17.
10
Let x = 720 - 719. Let g(r) = -r - 2. Suppose 3*l + 7 = -2. What is the remainder when g(l) is divided by x?
0
Let m = 8 - 2. Calculate the remainder when 102/(-34)*(-16)/6 is divided by m/3 - -1*3.
3
Suppose 2*v + 2*u - 4 = 0, v + 3*u = -u + 5. Let j = 7 - v. Suppose 4*o - c = 108, 6 = -5*c + 26. What is the remainder when o is divided by j?
4
Suppose 0 = -2*v - v - 2*f + 64, f = -4*v + 92. Let j be (v - (1 + 3)) + 0. Suppose -4*w - j + 56 = 0. What is the remainder when 35 is divided by w?
8
What is the remainder when 483 is divided by 11*(3 - 6 - (-8 + 3))?
21
Suppose 0 = -32*x + 5417 + 1783. Calculate the remainder when x is divided by 21.
15
Suppose -705 + 47 = -14*r. Suppose 96 = 3*s - 3*h, 0 = s + 3*s - 2*h - 118. Let i = -10 + s. Calculate the remainder when r is divided by i.
13
Suppose -2*x - 929 = -3*r, -2*r + 472 = -2*x - 148. What is the remainder when r is divided by 31?
30
Suppose 2*h + 57 - 219 = 3*c, 3*h + 4*c = 260. Suppose h = 3*r - 33. Let g = -22 + r. What is the remainder when 32 is divided by g?
15
Let y(i) = i**2 - 11*i + 6. Let n be y(11). Suppose -9*c + n*c + 27 = 0. Let w = 103 + -70. Calculate the remainder when w is divided by c.
6
Let u be -6*((-4)/3 - -1). Let g be (-5)/(-25) + (48/10 - 2). Suppose -g*b + 22 = u*t - b, -t + 5*b + 11 = 0. What is the remainder when 29 is divided by t?
7
Calculate the remainder when 185 is divided by -7 - -5 - (-2 + -27).
23
Calculate the remainder when 48 is divided by 1 - ((-432)/126)/((-2)/(-7)).
9
Suppose 0 = 13*i - 18*i + 60. Let a be 350/10*i/10. Let r = 110 - a. Calculate the remainder when r is divided by 23.
22
Let t = 19 - 15. Suppose -b - 3*x + 2*x = -28, -b + 22 = t*x. Calculate the remainder when b is divided by 17.
13
Suppose 3*y = c, c = -7*y + 8*y + 6. Calculate the remainder when 35 is divided by c.
8
Let z(j) = -j**2 - 11*j + 1. Suppose 3*i + 7 = -5. What is the remainder when ((-20)/6)/(i/24) is divided by z(-10)?
9
Suppose 3*g = 6*g + 12. What is the remainder when 43 is divided by -1*g/(-10)*(-660)/12?
21
Suppose -2*w + 23*u + 83 = 24*u, w - 5*u = 14. Calculate the remainder when 65 is divided by w.
26
Suppose -71 - 217 = -9*w. Suppose -3*p - 72 = -9*p. Calculate the remainder when w is divided by p.
8
Let s(b) = b - 16. Let v be s(18). What is the remainder when 35 is divided by v*18/24*12?
17
Let m = -64 + 68. What is the remainder when 94 is divided by m?
2
Suppose -5*l = 2*y - 27, 2*y - y + 18 = 2*l. Suppose 14*p = l*p + 98. What is the remainder when 15 is divided by 114/p + 5/(-35)?
7
Let s(u) = u**2 + 2*u - 3. Let g be s(2). Suppose g*j + 15 = 575. Calculate the remainder when j is divided by 23.
20
Let z(x) = -2*x**3 - 7*x**2 + 4. Let g = 13 + -11. Suppose g*u = -8 - 2. What is the remainder when z(u) is divided by 27?
25
Let l = -139 + 319. Calculate the remainder when l is divided by 13.
11
Let u be (144/(-5 - -8))/((-1)/(-4)). Let n = u + -71. Calculate the remainder when n is divided by 41.
39
Let k = 634 + -483. Calculate the remainder when k is divided by 8.
7
Let r(m) = -4*m + 3. Let j(u) = 6*u + 5. Calculate the remainder when r(-7) is divided by j(1).
9
Suppose -15 = 12*i - 663. What is the remainder when 96 is divided by i?
42
Suppose 6*r = 5*s + 4*r - 114, 4*s + 4*r = 108. What is the remainder when 189 is divided by s?
21
Suppose -1023 = -32*x + 6881. What is the remainder when x is divided by 43?
32
Let v(r) = -r + 113. Suppose 0 = 79*u - 84*u + 20. Suppose -4*i - 3*f = -128, -u*f = -5*i + f + 125. Calculate the remainder when v(0) is divided by i.
26
Let u = -13 - -12. What is the remainder when 80 is divided by (u*(-3)/(-9))/(2/(-258))?
37
Let l = 143 + -65. Suppose -4*n + 7*n + 2*h - 73 = 0, 0 = -2*n + 4*h + 70. Calculate the remainder when l is divided by n.
24
Let k = 57 - 50. Suppose -19 = -t + k. What is the remainder when 129 is divided by t?
25
Let w(x) = -x**2 - 28*x - 79. Calculate the remainder when 141 is divided by w(-5).
33
Suppose 4*p + 11 = -n, p + 0 = 2. Let v(q) = 6*q**2 + 6. Let s be v(2). Let w = s + n. Calculate the remainder when w is divided by 6.
5
Suppose 3*y + 2*v - 26 = 0, 0*y - 4*v - 58 = -5*y. Calculate the remainder when 67 is divided by y.
7
Suppose 30 = -37*z + 35*z. What is the remainder when (-4)/(5 - 1) - z is divided by 12?
2
Calculate the remainder when (-5654)/(-4) + (-258)/172 is divided by 101.
99
Let a = -4990 - -5014. Let p = 19 + -11. Suppose x - p = 5. Calculate the remainder when a is divided by x.
11
Let f = -269 + 289. Calculate the remainder when 32 is divided by f.
12
Let w(x) = -1 - 191*x + 180*x - 29 + 0*x**2 + x**2. Calculate the remainder when 38 is divided by w(14).
2
Suppose -7 = -5*b + 3. What is the remainder when (2 + 57)/(b*(-2)/(-8)) is divided by 15?
13
Let z(t) be the first derivative of t**4/3 - t**2/2 - t + 2. Let b(w) be the first derivative of z(w). What is the remainder when 7 is divided by b(1)?
1
Suppose 3*x - 257 = -m - 4*m, -10 = 5*m. Let n = 146 - x. What is the remainder when n is divided by 15?
12
Suppose -25*c + 20*c = 15. Suppose 0 = -u - l + 38 + 19, -4*u + 4*l + 260 = 0. What is the remainder when u is divided by 19 - (c + 2) - 4?
13
Suppose 2*y = 3 + 7. Suppose y*g - 7 - 38 = 0. Suppose -5*n - 4*u + 78 = 0, -5*n = -2*u - 86 + 20. Calculate the remainder when n is divided by g.
5
Suppose 4*g - 40 = -3*r, -1 = -4*r + 4*g + 71. Calculate the remainder when 397 is divided by r.
13
Let c = -13 - -23. Suppose -13*o - 9 = -c*o. Calculate the remainder when 1200/18 - 1/o is divided by 17.
16
Let a(v) = 2*v. Let g be a(-1). Let o(d) = -d + 4. Calculate the remainder when o(g) is divided by 4.
2
Suppose 51 + 57 = 3*b. What is the remainder when 106 is divided by b?
34
Let s(r) = 8*r + 2. Let p = -34 + 29. What is the remainder when 66 - 0/(p - -3) is divided by s(4)?
32
Let z(s) = s**2 - 4*s - 1. Let a be z(2). What is the remainder when 7/((-3)/(a - -2)) is divided by (20/6)/((-2)/(-3))?
2
Let y(r) = r + 1. Let u(b) = 2*b + 2. Let f(i) = -u(i) + 4*y(i). Let s be f(-3). What is the remainder when 13 is divided by (-1)/s - 30/(-8)?
1
Suppose -3*q - 4*v = -29, -4*q + 44 = 3*v - 4. Suppose 46 + 389 = q*l. What is the remainder when l is divided by 10?
9
Suppose 0 = 4*t + 3*t - 49. Suppose -3 = k - 5. Suppose s + k = t. What is the remainder when 28 is divided by s?
3
Suppose -4*l = 51 - 63. Calculate the remainder when 1/(2*(-2)/(-52)) is divided by l.
1
Suppose 0 = s, 3*c = s + 3*s + 30. Let f = -12 + 12. Suppose -2*q - 4 + 80 = f. Calculate the remainder when q is divided by c.
8
Suppose -2*z + 15 = 3*z. Suppose -3 = z*p - 21. Calculate the remainder when 20 is divided by 93/9 - (-4)/p.
9
Suppose 5*i = 73 + 7. Let a = 31 - i. Calculate the remainder when 41 is divided by a.
11
Let c = 1704 - 1670. Let z(x) = x**3 + x + 3. Calculate the remainder when z(5) is divided by c.
31
Let r(p) = 9*p + 3. Suppose q + 18*j - 136 = 22*j, -2*q + 5*j = -281. Calculate the remainder when q is divided by r(3).
28
Suppose -2*d = -2*g + 356, d + 2*d + 717 = 4*g. What is the remainder when (g/6)/((-4)/(-8)) is divided by 16?
13
Suppose 5*k + 32 - 65 = 2*k. Let d be (-15)/(-6) - (-1)/2. Calculate the remainder when 2/6 - (-128)/d is divided by k.
10
Let p(z) = z**2 + z + 2. Let y = 11 + -14. Let d be 5 + 1 + (y - 0). What is the remainder when 40 is divided by p(d)?
12
Let c(d) = -d**3 + 16*d**2 - 44*d - 29. Calculate the remainder when 341 is divided by c(12).
18
Suppose 17*c = 5*c + 396. What is the remainder when 128 is divided by c?
29
Suppose 0 = -631*w + 632*w - 114. Calculate the remainder when w is divided by 17.
12
Let q(c) = 4*c**2 - 2*c + 91. Calculate the remainder when q(-26) is divided by 19.
16
Suppose -4*z - 5*g + 10*g - 2 = 0, -z = 3*g - 8. Let y be 9*(z + (-8)/6). Let a = 25 - y. Calculate the remainder when 54 is divided by a.
16
Let t(c) = -9*c**2 + 18*c**2 + 14 - 10*c**2 + 14*c. Calculate the remainder when t(10