 -4*t + 34. Suppose 4*i = 3*b - 0*i - 119, 3*b = 3*i + 120. Calculate the remainder when b is divided by t.
13
Let l = -38 + 48. Suppose -17 = -3*p + 2*p. Calculate the remainder when p is divided by l.
7
Suppose 5 - 19 = k. Let f = -6 - k. Suppose 2*h - 38 = 2*s, -104 = -4*h - 2*s - s. What is the remainder when h is divided by f?
7
Suppose -j + 66 = 4*j + 4*q, 0 = -2*j + 4*q + 4. Let i = -25 + 41. Calculate the remainder when i is divided by (0 - 0) + j + -1.
7
Let t(b) = 2*b + 1. Calculate the remainder when 34 is divided by t(3).
6
Suppose -3*n = -n - 94. Calculate the remainder when n is divided by 12.
11
Suppose -2*p = -0*p - 18. Let y = -5 + p. Suppose -77 = -y*a + 5*x - 19, 7 = a - 5*x. Calculate the remainder when a is divided by 10.
7
What is the remainder when 638/55 + (-6)/10 is divided by 6?
5
Let y(m) be the first derivative of m**4/4 + m**3 + 2*m + 2. Suppose 0*c = 5*c - 15. Calculate the remainder when c is divided by y(-3).
1
Suppose v = -0*v. Suppose v = k + 4*a + 8 - 32, -5*a = -4*k + 33. Suppose -5*r + k + 14 = w, w - 1 = 0. What is the remainder when r is divided by 2?
1
Suppose 2*i + 3 = 3*t, -2*i - 5 = -2*t - 3*t. Suppose i = 2*k - 5*k + 15. What is the remainder when 12 is divided by k?
2
Suppose 0*n + n = -2*t + 14, -3*n - 3*t + 30 = 0. Let o be (-139)/6 + 1/6. What is the remainder when 13 is divided by n/(-10) + o/(-5)?
1
Let n(f) = -f + f + 3*f + f - 4. Calculate the remainder when 47 is divided by n(4).
11
Suppose -5*j - 11 = -n, 2*j = -n + j + 5. Suppose m - n - 18 = 0. What is the remainder when 69 is divided by m?
21
Let k = 104 + -85. Calculate the remainder when 71 is divided by k.
14
Suppose 5*j = 3*w - 69, 0 = -j + 5*j. Let y = 35 - w. Suppose m - 5*h + 59 = 5*m, -3*m = -3*h - 78. Calculate the remainder when m is divided by y.
9
Let f = -2 + 5. Suppose -30 = f*n - 114. Suppose -n = -z - z. What is the remainder when z is divided by 8?
6
Let s(v) = -v**2 - v + 5. Suppose -o + 3*i = i - 16, 5*o - 60 = 5*i. Suppose -2*m - 2*m + o = 0. What is the remainder when s(0) is divided by m?
1
Suppose 53 = 2*m - 2*c - 39, 142 = 3*m - c. Calculate the remainder when 141 is divided by m.
45
What is the remainder when 117 is divided by (-3 - -5) + (-3 - -31)?
27
Suppose -96 = -42*v + 40*v. What is the remainder when v is divided by 14?
6
Let z(y) = y**3 + 5*y**2 - 9*y - 3. What is the remainder when 57 is divided by z(-6)?
12
Suppose f + 218 = 5*x, 4 = 2*f + 10. Let z(k) = k**3 + k**2 + 4*k + 4. Let u be z(-3). Let q = u + x. What is the remainder when 50 is divided by q?
16
Let a(f) = 2*f**2 - 12*f - 4. Let u be a(9). Suppose 0 = -l - 4*l + u. Calculate the remainder when (-55)/(-2) - 5/l is divided by 14.
13
Let y be (-2)/(-3) + 310/3. Let d = y + -40. What is the remainder when d is divided by 22?
20
Suppose -5*d + 1 + 19 = 0. Suppose 2*a = d*a - 10. What is the remainder when a is divided by 3?
2
Let k(q) = 2*q**2 + 2*q + 2. Suppose n - 3*b = -2 - 0, 8 = 4*n - 4*b. What is the remainder when k(-2) is divided by n?
2
Let p(a) = 7*a. Let i be -1*((-6)/(-2) + -5). Suppose -7 = -i*v - 5. What is the remainder when 12 is divided by p(v)?
5
Suppose 6*c - 34 = 5*c. Calculate the remainder when c is divided by 19.
15
Suppose -q = q - 28. Suppose -3*w + 0*f + 7 = -f, w - 1 = -f. Suppose 5*r = w*r + 120. What is the remainder when r is divided by q?
12
Suppose 5*i - 15 = 2*i. Suppose m - 49 = -3*b, i*m = m - b + 229. Calculate the remainder when m is divided by 15.
13
Let k = -11 + 88. Let g = 10 - -16. What is the remainder when k is divided by g?
25
Suppose -5*w + 56 - 6 = 0. Suppose 0 = -k + 5 + w. Let l = 69 + -25. Calculate the remainder when l is divided by k.
14
Suppose 4*y = -29 - 7. Let u = 94 + y. What is the remainder when u is divided by 29?
27
Let l(w) = 4*w + 11. Let n be l(8). Let g = 67 - n. Suppose 0 = 4*h - g - 16. Calculate the remainder when h is divided by 6.
4
What is the remainder when 95 is divided by (-1)/((-5)/105) - -4?
20
Suppose 8*c - c - 315 = 0. What is the remainder when c is divided by 16?
13
Let l(q) be the second derivative of q**4/2 - q**3/3 - q. Calculate the remainder when l(-2) is divided by (3 + -1)*-1*-5.
8
Let k(t) be the second derivative of -t**3/2 - 6*t**2 + 5*t. What is the remainder when 69 is divided by k(-12)?
21
Let o = 79 + -53. Suppose 2*c - 8 = 5*s, 4 + 4 = 4*s. Calculate the remainder when o is divided by c.
8
Calculate the remainder when 77 is divided by ((-4)/2)/(1/(-11)).
11
Let j(d) = -8*d - 7. What is the remainder when 49 is divided by j(-3)?
15
Let k(p) = p**2 - 2. Calculate the remainder when 61 is divided by k(6).
27
Suppose -2*n = -64 + 22. Let h be ((-20)/(-12))/(2/6). Let k = 1 + h. Calculate the remainder when n is divided by k.
3
Let y(m) = m**3 + 7*m**2 + 7*m - 6. Let q be y(-6). What is the remainder when (28/q)/((-2)/54) is divided by 22?
19
Let f = 9 - 8. Let q = 3 + f. What is the remainder when 11 is divided by q?
3
Let j = -22 - -52. Suppose g + j = 4*g. What is the remainder when g is divided by 6?
4
Let c(m) = -m**3 - 3*m**2 - m - 6. What is the remainder when c(-5) is divided by 17?
15
Let f(t) = t**3 + 6*t**2 + 6*t + 2. Let d be f(-5). Let s be 9 + -1 + d + 2. Let a = s + 9. What is the remainder when 30 is divided by a?
14
Let f = 63 + -60. What is the remainder when f is divided by 3?
0
Let s(u) = u**3 - 2*u**2 + u + 6. Calculate the remainder when s(4) is divided by 23.
19
What is the remainder when 7 is divided by (-148)/(-28) + (-2)/7?
2
Let q(d) = -d**3 + 11*d**2 + 4. Let y be q(11). Suppose 0*l = -y*l + 24. Calculate the remainder when l is divided by 2.
0
Let j(y) = 2 + 2 + 2*y - 2 - 4. Calculate the remainder when j(7) is divided by 7.
5
Let i(a) = 3*a. Let o be i(-1). Suppose -x - 2*z = -8, -x + 0*z = -3*z + 7. Calculate the remainder when 0 - (-4 - (2 + o)) is divided by x.
1
Let m = -11 + 24. What is the remainder when 37 is divided by m?
11
Let t(j) = j**3 - j**2 - 8*j + 1. Let m(f) = f**2 + 2*f - 11. Let r be m(-5). What is the remainder when 50 - ((-2)/(-2) - -1) is divided by t(r)?
14
Suppose -5*z = 0, 0*z = -o - 5*z - 2. Calculate the remainder when (11 + -5)/(o/(-7)) is divided by 6.
3
Suppose 55 = 4*u - f, -f + 33 = 2*u + 4*f. Calculate the remainder when 25 is divided by u.
11
Let a(l) = l**2 - 4*l + 1. Let u = -27 - -33. What is the remainder when a(-3) is divided by u?
4
Suppose -4*d = -3*a + 57, -3*a + 16 + 17 = 4*d. What is the remainder when a is divided by 8?
7
Suppose y + 2*h = -2*y + 26, -4*y + 3*h = -63. Suppose -17 + 2 = 3*s. Let b(p) = -5*p - 2. Calculate the remainder when b(s) is divided by y.
11
