74 = -48. Suppose -b = -5*s + 4*f, 2*f = -f + 12. Calculate the remainder when s is divided by 7.
4
Let s be 17/5 - 3 - 52/(-20). Suppose -t + 3 = 1. Calculate the remainder when 28/21*s/t is divided by 2.
0
Suppose d = 2*j - 1, 13 = 2*j - 0*d + 3*d. Let t = 261 + -135. Suppose -v + 3*x + t = j*v, -5*v + x = -202. What is the remainder when v is divided by 14?
12
Suppose 4*b = -0*b + 4. Let s(q) = 6*q. Calculate the remainder when 21 is divided by s(b).
3
Let k(c) = c**3 - 2*c - 6 + 1 + 6. Let f be k(2). Suppose 4*p = -f*s + 54, -p = -2*s + 4 - 24. Calculate the remainder when 31 is divided by p.
15
Suppose -4*y = r - 5*r + 12, -5*r - 5*y = -15. Suppose 4*w - 41 = r. Suppose 2*s = s + 41. Calculate the remainder when s is divided by w.
8
Suppose -2*y = 2*t + 3*t - 20, -5*t - 5*y + 5 = 0. Let k(m) = -m**2 + 9*m + 1. What is the remainder when k(t) is divided by 10?
9
Let t(q) = -q**2 + 6*q + 7. Let f be t(6). Suppose -2*g + f*g - 30 = 0. Suppose 2*i = 30 - g. Calculate the remainder when i is divided by 7.
5
Let d(j) = -j + 4. Suppose -o - 5*v + 16 + 8 = 0, -o - v = -8. Calculate the remainder when d(-10) is divided by o.
2
Let d(y) = 7*y + 11. Calculate the remainder when d(5) is divided by 0 - -11 - (1 + -2).
10
Let c = -32 + 62. Calculate the remainder when c/4*6 - 2 is divided by 15.
13
Let c(g) = 27*g**2 + 10*g - 7. Calculate the remainder when c(-3) is divided by 16.
14
Suppose 3*h + 0*h + 3*b = 60, -4*h = -b - 65. Calculate the remainder when 31 is divided by h.
14
Let b(w) = -w**3 - 6*w**2 - w - 2. Let v be b(-4). Calculate the remainder when 13 is divided by v/(-9)*12/5.
5
Let u(z) = 3*z - 1. Let j be u(2). Suppose 0 = -2*x + j*y + 8, 0 = -3*x + 3*y - 3 + 24. Calculate the remainder when x is divided by 6.
3
Let n(s) = -s**3 + 10*s**2 + s - 3. Let d(a) = a + 4. Calculate the remainder when n(10) is divided by d(0).
3
Suppose 0 = -2*s - s. Suppose -57 = -4*x - 2*t + 11, s = -t - 4. What is the remainder when x is divided by 5?
4
Let k = 127 + -87. Suppose -k = -2*a - 3*a. Calculate the remainder when 3*(-62)/(-6)*1 is divided by a.
7
Let t(i) = -19*i**3 - i**2 - 2*i - 1. What is the remainder when t(-1) is divided by 5?
4
Let q = 4 - -3. Let t(a) = 2*a - 10. What is the remainder when 10 is divided by t(q)?
2
Suppose -12*l = -4*l - 32. Calculate the remainder when 8 is divided by l.
0
Suppose -i = -3*z + 13, -5*i - 8 = 4*z - 0. Suppose 17 = 5*y + 3*d, -y - d - 9 = -z*y. What is the remainder when y is divided by 3?
1
Suppose -2*b + 65 = n, 0 = -b + 2*b - 2*n - 20. Suppose 2*c - 130 = -12. Calculate the remainder when c is divided by b.
29
Let y(o) = 19*o**3 - o**2 + 2*o - 1. Suppose -14 = -4*t + 2*t. Calculate the remainder when y(1) is divided by t.
5
Suppose -112 = 3*o - 7*o - 2*l, o + 3*l - 33 = 0. Suppose 11 = 3*k + 56. Let y = -5 - k. What is the remainder when o is divided by y?
7
Suppose 0 = 9*b - 5*b + 4. Let y(i) = 58*i**2 + i + 1. What is the remainder when y(b) is divided by 20?
18
Let s(t) = t**2. Let f(w) = 2*w**2 - 2*w - 4. Let g(q) = -f(q) - 3*s(q). Let v be g(3). Let r = 18 - v. What is the remainder when r is divided by 14?
11
Let q(o) = o**2 - o. Let k(r) = r**2 - 13*r - 5. Let a(v) = k(v) - 2*q(v). What is the remainder when a(-5) is divided by 14?
11
Let y(m) = 15*m**3 + m**2 - 2*m + 1. Let q be y(1). Calculate the remainder when q*(-1)/(3/(-2)) is divided by 6 + 0 + (-1 - -1).
4
Suppose -i - 3*k + 5 = 0, -5*k + 13 = -i - 6. Let u = 6 + i. What is the remainder when u is divided by 1?
0
Suppose r - 1 = -6, 0 = -5*h + r + 100. Suppose -2*t + 5*f + 31 = -t, 21 = 3*t + 3*f. What is the remainder when h is divided by t?
8
Let t = -26 + 11. Calculate the remainder when 42 is divided by (-155)/t + 4/6.
9
Suppose 0 = 2*y - 20 - 4. Let i = y + -3. Calculate the remainder when i is divided by 1*3*5/3.
4
Calculate the remainder when (-11)/((5/(-3))/5) is divided by 13.
7
Suppose 3*t - 2*i = -t + 26, -t + 3*i = -14. Let x(w) be the first derivative of -w**3/3 + 7*w**2/2 - w - 1. What is the remainder when 15 is divided by x(t)?
6
What is the remainder when -3 + 1 - (-74 + 5) is divided by 17?
16
Suppose -3*b + 5*o + 53 = 0, 4*o - 12 + 96 = 4*b. Suppose -2*l - 13 = -h - 7*l, -2*h = -4*l - b. Calculate the remainder when 48 is divided by h.
9
Suppose -7*j + 4*j - 144 = -5*i, 0 = 2*i + 2*j - 48. What is the remainder when i is divided by 4?
3
Suppose -u + 11 = 2*l, -u + l = -0 + 4. Calculate the remainder when 50 is divided by 119/14*2*u.
16
Suppose 5*j = 2*j - 5*h - 3, -3*j + 6 = 2*h. Suppose j*o - 237 = o. Let a = o - 45. What is the remainder when a is divided by 12?
10
Suppose 0 = 5*k + x - 6, -4 = -5*k + 3*x - 2. Suppose g = 1 + k. Suppose -g*h - 2*h + y = 0, 5 = h + y. What is the remainder when h is divided by 1?
0
Let s = -90 + 135. What is the remainder when 85 is divided by s?
40
Let t(x) = -20*x**2 + 9*x + 26. Let k(w) = -7*w**2 + 3*w + 9. Let o(i) = 17*k(i) - 6*t(i). Calculate the remainder when 23 is divided by o(-2).
2
Let f = -18 - -31. Suppose -2*y + 41 + f = 0. Suppose -5 = 9*n - 131. Calculate the remainder when y is divided by n.
13
Let w(c) be the third derivative of c**5/60 - c**4/3 + 7*c**3/3 - 4*c**2. What is the remainder when 19 is divided by w(7)?
5
Suppose -4*o + 2*p + 50 = -0*p, 0 = 2*o - 5*p - 13. Suppose 0 = 3*w + 15, -204 = -3*q + 5*w - 56. What is the remainder when q is divided by o?
13
Let i = 70 + -44. What is the remainder when i is divided by 7?
5
Let y be 46/(-10) + (-4)/10. Let v = y + 5. Suppose 3*x + 74 = 5*b, v = 5*x - 10 + 25. Calculate the remainder when b is divided by 7.
6
Suppose -5*n = -18 - 7. Let p = 35 - 19. Let k = p + -8. Calculate the remainder when k is divided by n.
3
Let x(f) = -f**3 - 13*f**2 + 3. Calculate the remainder when 5 is divided by x(-13).
2
Calculate the remainder when (-5)/(-45) + (-296)/(-9) is divided by 3/(-1)*17/(-3).
16
Suppose -s - 3*u = -34, -3*u = -2*u - 4. Suppose a - 8 = 2*t - 2, 4*a - 29 = 3*t. What is the remainder when s is divided by a?
6
Suppose 13*s = 15*s - 58. What is the remainder when 84 is divided by s?
26
What is the remainder when -1*(-1 + -2) + 1056/11 is divided by 25?
24
Let s = -8 + 9. Suppose 3*a = -4 + s, 4*z - 2*a = 54. Calculate the remainder when 23 is divided by z.
10
Let y(t) = t**2 - 2. Let o be y(-3). Let j = o - 7. Let w = 4 - j. Calculate the remainder when w is divided by 2.
0
Let c = 0 - -32. Suppose c = t - 12. What is the remainder when t is divided by 15?
14
Suppose 0 = 4*q - 12, -j + 197 - 63 = 4*q. What is the remainder when j is divided by 63?
59
Let b(k) = 13*k + 4. Let a be b(6). Let d = a + -53. What is the remainder when d is divided by (-78)/(-8) + 2/8?
9
Suppose -20 = -5*b + b. What is the remainder when 22 is divided by b?
2
Let q(u) = -4*u - 3. Suppose -2*h + 4*b + 64 = 2*h, 3*b - 60 = -3*h. Calculate the remainder when h is divided by q(-2).
3
Let w be (5 - 2)/(-1) - 29. Let v = 104 + w. Calculate the remainder when v is divided by 25.
22
Let b = 4 - 4. Suppose b = -m - 3*m - 24. What is the remainder when 14 is divided by (-4)/6 + (-34)/m?
4
Let k(r) = -r**3 + 4*r**2 + 8*r - 6. Let d be k(6). Let w = 61 + d. Calculate the remainder when w is divided by 16.
15
Let m = 17 - 12. Suppose -k - 3 = -m. What is the remainder when 3 is divided by k?
1
What is the remainder when (0 + 2)/((-515)/(-170) - 3) is divided by 24?
20
Suppose 0*x + 5 = x. Suppose 3*z = 18 + 39. What is the remainder when z is divided by x?
4
Calculate the remainder when 3/4 - 2310/(-56) is divided by 15.
12
Suppose 0*m - m = -k + 9, 14 = k + 4*m. Suppose 3*v - k = v. Let t = -3 + v. Calculate the remainder when t is divided by 1.
0
Suppose -5*r + 82 - 3 = -3*f, -59 = -3*r - 4*f. What is the remainder when 67 is divided by r?
16
Let l be (-8)/5*5/(-2). Suppose 7 = 2*j + a - 6*a, 36 = j + l*a. What is the remainder when 29 is divided by j?
13
Let x = 17 + -15. Let c(j) = -j**2 + 5*j + 4. Let u be c(5). Suppose 2 + u = 3*f. What is the remainder when x is divided by f?
0
Let p = -77 - -19. Let y = p + 100. Suppose 3*n + 3 - y = 0. What is the remainder when 38 is divided by n?
12
Suppose -4*c - c = v + 200, 4*v - 20 = 0. Let m = c - -80. What is the remainder when m is divided by 21?
18
Let m(k) = -k**3 - 6*k**2 + 6*k - 1. Let z = -15 - -