r - 0*b, 0 = -3*r - 5*b + 33. Suppose 0 = 5*d + 4*l - 74, -r = -d - 0*l + 3*l. What is the remainder when 53 is divided by d?
11
Suppose 6*o + 53 = 5*u + 8*o, 2*u - 4*o - 26 = 0. Calculate the remainder when 20 is divided by u.
9
Let b = 55 - 25. Suppose 0 = -3*g + 2 + 4. Calculate the remainder when b is divided by (-32)/10*(-10)/g.
14
Suppose 43 + 40 = 3*x + 4*v, -2*x + 3*v + 61 = 0. Suppose -5*p + 24 = -i, -p + 3 = -4*p. Let s = -18 - i. What is the remainder when x is divided by s?
7
Let t(o) = -37*o**3 + 2*o**2 + o. Let y = 92 + -93. Calculate the remainder when 151 is divided by t(y).
37
Let a(k) = -5*k - 15. Suppose -4*z = -3*x + 3, z = -0*x + 4*x - 4. Let u = z - 6. What is the remainder when 26 is divided by a(u)?
11
What is the remainder when 478 is divided by (-54)/(-99) - (-1512)/132?
10
Let a = 11 + 8. Let h = 21 - 16. Suppose 427 - 147 = h*y. Calculate the remainder when y is divided by a.
18
Let n(h) be the first derivative of h**4/4 - 13*h**3/3 + 6*h**2 + 11*h - 1. Suppose -k = 5*k - 72. What is the remainder when 30 is divided by n(k)?
8
Suppose -l - 3*b + 21 = -2*b, -l = -5*b - 21. Suppose l = 2*q - 9. What is the remainder when 39 is divided by q?
9
Suppose -n = -9 + 1. Let u be (3 + -4)/((-4)/20). Suppose 0 = -9*s + 4*s - 15, 0 = 4*l + u*s - 5. What is the remainder when n is divided by l?
3
Suppose -650 = -3*y + 2959. What is the remainder when y is divided by 28?
27
Let a be 4/6 - (-1802)/51. Let d(f) = 3*f**3 - 2*f**2 - 2*f + 1. What is the remainder when a/((-4)/(-6 - -2)) is divided by d(2)?
10
Suppose 211 = 5*b - 379. What is the remainder when b is divided by 8?
6
Suppose 10*d + 28 - 38 = 0. Calculate the remainder when 68 is divided by d.
0
Let f be 2/(-4) + (-14)/(-4). Suppose -f*y = -0*y. Suppose -5*q + 3*v + 223 = y, 30 + 107 = 3*q - v. What is the remainder when q is divided by 12?
11
Suppose -4*b + 521 = 4*j + 153, 286 = 3*j + 5*b. Let f = 107 - j. What is the remainder when 119 is divided by f?
19
Let n(u) = -268*u**3 + 4*u**2 + u - 3. What is the remainder when n(-1) is divided by 27?
25
Let w be 4/24*4*18. Suppose 0*t + 3*l + 10 = 2*t, w = 5*t - l. What is the remainder when 8 is divided by t?
0
Suppose 2*t - 5*b - 110 = 0, 0 = 3*t + 7*b - 11*b - 158. Calculate the remainder when 152 is divided by t.
2
Suppose 0*f - 14 = -3*f + 4*r, 2*r + 16 = 3*f. Suppose -f*i + i = -80. What is the remainder when i is divided by 9?
7
Suppose 12*i - 57 = -9. Suppose -i*k - 2*k + 390 = 0. What is the remainder when k is divided by 24?
17
Let c = 0 + 2. Suppose -c*f = -0*f - 8. Suppose 98 = 4*a + 6*m - 3*m, -8 = -f*m. Calculate the remainder when a is divided by 6.
5
Suppose 4*t = -5*k + 142, 0 = -3*k + 6*k - 2*t - 94. Let d = k - -1. Suppose -2*s + 4*p + 35 = s, 4*p = -3*s + 67. What is the remainder when d is divided by s?
14
Suppose 35*v = 34*v + 32. Calculate the remainder when 61 is divided by v.
29
Let j(c) = 3*c**2 + 10*c + 3. Let n = 87 + -57. Suppose 4*h = -n + 110. Calculate the remainder when h is divided by j(-4).
9
Let n = 75 - 60. Let l = n + -5. Calculate the remainder when 48 is divided by l.
8
Let m(t) = t**2 + 25. Let v = -39 + 27. What is the remainder when ((-3)/v)/((-1)/(-292)) is divided by m(0)?
23
Let h be (15/10)/((-6)/8). Suppose t = 5*b - 14 - 4, 18 = 3*b - 3*t. Calculate the remainder when 1/(-2) - 17/h is divided by b.
2
Let t(a) = -a**2 - 10*a + 153. Calculate the remainder when 383 is divided by t(-18).
5
Let g be (2 - 8)*61/(-2). Suppose 4*l + k - 94 = 150, -k = -3*l + g. What is the remainder when l is divided by 31?
30
Let r(l) = -7 + 24*l + l**2 - 14*l + 14 - 9*l. What is the remainder when 72 is divided by r(-4)?
15
Let q(f) = -21*f - 115. Calculate the remainder when 105 is divided by q(-8).
52
Suppose -9*m - 847 = -10*m + 5*c, 2*m - 1688 = 4*c. What is the remainder when m is divided by 65?
62
Let l(d) = -115*d + 108. What is the remainder when 122 is divided by l(0)?
14
Suppose -19*c = -23*c + 60. Let s(x) = x**3 - 3*x**2 + 2*x. Calculate the remainder when c is divided by s(3).
3
Let r = -3 - -10. Calculate the remainder when -1 - -13 - (-79 + 83) is divided by r.
1
Suppose -5*b + b + 96 = 0. Suppose 49 = 5*c - 51. Calculate the remainder when 669/15 - (-8)/c is divided by b.
21
Suppose -4 = -3*f + 2*f. Let j(l) = -4 - 6*l - 2*l + f*l. Calculate the remainder when j(-7) is divided by 13.
11
Let j(h) = 0*h - 19*h + 90 - 98. What is the remainder when j(-3) is divided by 17?
15
Let k(j) = -j**3 - 3*j**2 + 5*j + 6. Suppose -3*s - f - 28 = -2*s, 3*s = -f - 78. Let w = -21 - s. What is the remainder when w is divided by k(-4)?
0
Let r(z) be the second derivative of z**3/6 + 19*z**2/2 + 3*z. What is the remainder when 14 is divided by r(-11)?
6
Suppose 0 = 101*t + 7*t - 6156. Calculate the remainder when 2391 is divided by t.
54
Let u(r) = -22*r. Suppose d - 16 = -3*t - d, 3*d = 5*t - 33. Calculate the remainder when u(-1) is divided by t.
4
Let s = 16 - 33. Let b = 44 + s. Let m = -249 + 301. What is the remainder when m is divided by b?
25
Let g(a) = -6*a - 9 + 6*a - a. What is the remainder when g(-10) is divided by (-4)/6*6/(-4)?
0
Suppose 6*x = 11*x - 20. Let g(j) = 2*j - 3. Let a be g(x). Suppose a*z + 5*q - 175 = -0*q, -z + 43 = 3*q. Calculate the remainder when z is divided by 11.
9
Calculate the remainder when 8920/45 + 7 + 6/(-27) is divided by 59.
28
Suppose 7*z - 368 = 3*z. Let f = -1249 + 1268. Calculate the remainder when z is divided by f.
16
Let l = -53 + 209. What is the remainder when l is divided by 20?
16
Suppose u = -2*x + 29 + 12, 3*u - 87 = -4*x. What is the remainder when 87 is divided by x?
15
Let s(u) = -4*u**3 - u**2 + 4*u + 3. Let y(p) = -p**3 + p**2 - 2. Let t be y(0). Let w = 142 - 130. Calculate the remainder when s(t) is divided by w.
11
Let j(d) = 3*d**2 - 4*d + 3. Suppose 5*p - 16 = -2*v, 3*v - 18 = -v - 3*p. What is the remainder when 33 is divided by j(v)?
15
Let m = -849 + 903. What is the remainder when 1186 is divided by m?
52
Suppose 4*q - 48 = -4*s, 2*s - 56*q = -51*q + 45. Calculate the remainder when 18 is divided by s.
3
Let g = -100 + 195. Calculate the remainder when g is divided by 34.
27
Let o(j) = 10*j + 5. Let g be o(7). Suppose g = -8*x + 235. What is the remainder when x is divided by 11?
9
Calculate the remainder when (5 - 1)/((-10)/(-105)) is divided by 24.
18
Let s = 5 + -5. Suppose 0 = 4*f - z - 32, -3*z + 8 = f - s*f. Suppose o - 1 = f. Calculate the remainder when 26 is divided by o.
8
Suppose 4*q + 3*g = 48, -5*g = -4*q - 7 + 55. What is the remainder when 29 is divided by q?
5
Suppose 4*a - 40 = -a. Let n be (-2)/(-3)*36/a. Suppose -7*b + 5*b = -n*m + 30, m = 4*b. What is the remainder when 47 is divided by m?
11
Suppose -14104*i + 14112*i = 432. Calculate the remainder when i is divided by ((-8)/10)/1*-35.
26
Let c(n) = n. Let m = -412 + 429. Calculate the remainder when m is divided by c(8).
1
Suppose 89 = 3*s - a, -74 = -5*s + 2*s - 2*a. Suppose 104 + s = 3*f. Calculate the remainder when f is divided by 16.
12
Let n be (-2)/2 + (-4)/(-2). Suppose 2*i - 3 + n = 0. Let r = i - -3. What is the remainder when 15 is divided by r?
3
Let j(x) = x**3 + x**2 - x - 3. Suppose 3*k = i + 28, 2*k - 5*k + 43 = 2*i. Calculate the remainder when j(4) is divided by k.
7
What is the remainder when 1*9 - (-14 + (3 - -6)) is divided by 12?
2
Let i(g) = 33*g - 40. Calculate the remainder when i(3) is divided by 36.
23
What is the remainder when 2298 is divided by (132/8 - (7 + -2))*2?
21
Let y be (-6)/36 + 98/12. Suppose 8 = a - y. Suppose -3*m = -a - 11. Calculate the remainder when 15 is divided by m.
6
Let s = -13 + 47. Suppose 27 = 4*f + 27. Suppose -4*u + 28 = 4*y, y - 7 = 4*u - f. Calculate the remainder when s is divided by y.
6
Suppose 0 = -4*o - 7*s + 216, 39 = o + 3*s - 5*s. Calculate the remainder when 939 is divided by o.
46
Let j(i) = i**3 - 13*i**2 + 14*i + 4. Let g(v) = -2*v**3 - 26*v**2 - 5*v - 12. Calculate the remainder when g(-13) is divided by j(12).
25
Let g(f) = 2*f**2 + 14*f + 69. What is the remainder when 175 is divided by g(-6)?
4
Let z = -313 + 429. What is the remainder when z is divided by 15?
11
Let z(x) = x**2 + 6*x + 7. Let v be z(-5). Suppose 3*j + 2*f = 42, j + v*f - 18 = -0*j. Calculate the remainder when (-2)/