 0. What is the remainder when v is divided by 18?
17
Let u(d) = -d**3 + 19*d**2 + 21*d - 12. What is the remainder when 28 is divided by u(20)?
4
Let j(t) = -t**3 + 34*t**2 - 5*t + 176. Suppose -13 = 2*a - 47. Calculate the remainder when a is divided by j(34).
5
Suppose -5*d = 0, 0 = -7*s + 3*s - 5*d + 8. Suppose 5*y - k = 20, -4 - 8 = -3*y - s*k. What is the remainder when 9 is divided by y?
1
What is the remainder when 35 is divided by (90/(-35))/((-4)/28)?
17
Let n = -8 - -9. Calculate the remainder when 30 is divided by n/(3/(-66)*-2).
8
Let y be (3 - 1)/(2/3). Suppose -a + 3 - 1 = -f, 4*f - 20 = -y*a. What is the remainder when a is divided by (-5)/(-3) + (-1)/(-3)?
0
Let d = -3 + 10. Calculate the remainder when -1 - 20/((-2)/2) is divided by d.
5
Suppose -2*f = -2*n + 12, n + 2*f + 2 = -4. Suppose -n*s + 35 = -53. Calculate the remainder when s is divided by 15.
14
Suppose 2 = -3*c + 3*n - 7, 9 = -3*c - n. Let x = 9 + c. Let j(m) = 3*m. What is the remainder when 52 is divided by j(x)?
16
Let g = 25 + -13. Let d = 1 + g. Calculate the remainder when 50 is divided by d.
11
Suppose 7*q - 4*j - 8 = 4*q, 0 = -4*j - 20. Let k be (-357)/(-9) + q/6. Let f = k + -13. What is the remainder when f is divided by 9?
8
Let c = -58 - 40. Let v = -67 - c. Let f = 45 - v. What is the remainder when 26 is divided by f?
12
Suppose -4*h = -q + 25, -37 - 3 = -2*q + 3*h. Calculate the remainder when q is divided by 5.
2
Let w be (-198)/(-48) - 2/16. Suppose 0*b = -2*b. Suppose -a - 2*s = w*a - 155, b = a - 3*s - 14. Calculate the remainder when a is divided by 10.
9
Suppose k - 4*s = -6, -4*s = -0*k - 4*k. Suppose -2*v + 30 = 3*v. Calculate the remainder when v is divided by k.
0
What is the remainder when 561/22 + (0 - 9/6) is divided by 6?
0
Suppose -165 = -i + 4*n, 8*n = -5*i + 4*n + 777. Calculate the remainder when i is divided by 32.
29
Suppose -289 + 9 = -4*x. What is the remainder when x is divided by 24?
22
Let b = 18 + 35. Suppose 4*c - 5*c = 3*g - 56, -4*g + 4*c = -64. Calculate the remainder when b is divided by g.
17
Suppose -3*m + 2*m + 68 = 3*p, 4*m + 22 = 2*p. Suppose -2 = -n + 7. Let w = n + -1. Calculate the remainder when p is divided by w.
5
Let a = 2 - -2. Suppose -a*p + 42 - 12 = 2*w, 5*w = p + 20. Suppose 4*s - w*d = 190, 2*d + 133 = 3*s + 3*d. Calculate the remainder when s is divided by 12.
9
Suppose 0*k + 85 = 5*k. Calculate the remainder when k is divided by 7.
3
What is the remainder when ((-1 - 5)/2)/(18/(-204)) is divided by 18?
16
Let k = -4 - -9. Suppose -5*i + k = v, -2*i - i + 5 = v. Suppose -4*o + 5*o - 6 = -r, i = 5*o + 2*r - 15. Calculate the remainder when o is divided by 1.
0
Let u(a) = -2*a**3 - 3*a**2 - 4*a - 2. Suppose w + 5 = 0, -5*w = -4*r - 50 + 155. Suppose 2*z - r = 6. Calculate the remainder when u(-3) is divided by z.
11
Let f(m) = -m**3 - 6*m**2 + 3*m - 5. Let u be f(-7). Let o = u - 14. Calculate the remainder when 1 + (1 - 13)*-2 is divided by o.
7
Suppose -2*l - 61 = j - 6*j, 2*j - 2*l - 28 = 0. Suppose 0 = 3*d - 7*d. Let z = j - d. What is the remainder when 31 is divided by z?
9
Suppose -4*k = -50 - 98. What is the remainder when k is divided by 19?
18
Let u = -42 - -62. Calculate the remainder when u is divided by 7.
6
Suppose -u = t - 1 - 7, 0 = -4*t - 2*u + 32. Suppose -9*k + 66 = -51. What is the remainder when k is divided by t?
5
Suppose u - 12 = 5. Let v = 73 + -25. Calculate the remainder when v is divided by u.
14
Let f = 230 + -161. Calculate the remainder when f is divided by 14.
13
Let p(q) = -2 - 2 - 4*q + 6*q. Suppose 0*d - 2*l = 4*d - 78, -2*l = d - 12. What is the remainder when d is divided by p(8)?
10
Suppose -q = -0*q - 5*w - 2, -3*w = -12. Let n = q - 7. What is the remainder when ((-66)/(-5))/(3/10) is divided by n?
14
Let x(z) = 2*z**3 + 14*z**2 - 19*z - 14. Calculate the remainder when 39 is divided by x(-8).
9
Let s = -22 + 24. Suppose -s*o + 6*o = 5*i - 50, i - 3*o - 21 = 0. Let t(a) = a**2 - 4*a - 3. What is the remainder when i is divided by t(5)?
0
Suppose -6*f + f = -225. Let s(k) = -k + 5*k - 3*k + 23. Calculate the remainder when f is divided by s(0).
22
Suppose 4*p + v = -0*p + 77, 5*v - 5 = 0. Calculate the remainder when p is divided by 10.
9
Suppose 5*s - 3*s - 40 = 0. What is the remainder when 30 is divided by s?
10
Let c(a) be the first derivative of a**3/3 + a**2/2 - 4*a - 1. Calculate the remainder when 31 is divided by c(-4).
7
Let w(v) = 17*v**2 + 2*v + 2. Calculate the remainder when w(-2) is divided by 17.
15
Let s(m) = 5*m - 51. Calculate the remainder when 87 is divided by s(12).
6
Let b = 113 + -75. What is the remainder when b is divided by 10?
8
Let x(o) = -2*o**3 + o**2 + 2*o + 3. Suppose 1 = 5*k + 11. Let v be x(k). Calculate the remainder when v - (1 + (-1 - -1)) is divided by 10.
8
Let a(z) = -2*z + 11*z**2 - 2*z**2 - 8*z**2 + 3*z - 7. Suppose 3*y + 21 = 6*y. What is the remainder when a(-5) is divided by y?
6
Suppose 0 = 2*a - 3 + 13, -4*n - 4*a + 44 = 0. Let f = 0 - -9. Let j = n + f. Calculate the remainder when j is divided by 13.
12
Suppose -29 - 7 = 4*l. What is the remainder when l/((-2 + 5)/(-9)) is divided by 7?
6
Let b(y) = y. Suppose x + 2*u = -x + 40, -3*u = -15. Suppose x = 5*n - 0*n. Calculate the remainder when b(4) is divided by n.
1
Let k = 182 - 85. Calculate the remainder when k is divided by 27.
16
Let k = 107 - 38. Calculate the remainder when k is divided by 2*(-1 - -2) - -16.
15
Suppose 5*m + 2*p - 220 = -3*p, 4*m - 5*p - 140 = 0. Suppose -k - 28 = -3*k. Calculate the remainder when m is divided by k.
12
Let a = -5 - -16. Suppose 2*r + i + 10 = 6*r, 0 = -r + 4*i + 10. Suppose r*x = 4*c - 82, 2*c + 3*x - 42 = 5*x. What is the remainder when c is divided by a?
9
Let g(j) be the first derivative of -6*j**2 + j - 3. What is the remainder when 25 is divided by g(-1)?
12
Let h(u) = 6*u - 6. What is the remainder when h(7) is divided by 13?
10
Suppose 24 = 4*o - 0*d - d, 4*o - 3*d - 24 = 0. Suppose 4*h = h + o. Suppose h*m = 15 - 1. What is the remainder when m is divided by 4?
3
Let t(y) = -y**3 + 6*y**2 + 8*y + 8. What is the remainder when 28 is divided by t(7)?
13
Let z = 2 + -1. What is the remainder when (-23)/2*(z + -3) is divided by 33/4 - 34/136?
7
Let j(d) = d + 3. Let g be j(-5). Let f(m) = -9*m**3 + 3*m**2 + 4*m + 3. What is the remainder when f(g) is divided by 27?
25
Let y(j) = -3*j - 9. What is the remainder when 69 is divided by y(-9)?
15
Let u = 56 - 32. Calculate the remainder when (-1 + 5)*(-47)/(-4) is divided by u.
23
Let m = 62 + -23. Calculate the remainder when m is divided by 21.
18
Let a(v) = -v**2 - 8*v - 5. Let w = -2 - 5. Calculate the remainder when (-4)/(-1 + (-1)/1) is divided by a(w).
0
Let j(b) = -b**3 + 4*b**2 - b + 5. Let w be j(4). Calculate the remainder when (-1 + -1)*-7*w is divided by 5.
4
Let n = -1 - -1. Suppose n = 2*x + 2*x - 48. Let l = 17 - -6. Calculate the remainder when l is divided by x.
11
Let i(k) = -6*k + 81. Calculate the remainder when i(7) is divided by 14.
11
Suppose -8*q + 5*q = -180. Calculate the remainder when 358 is divided by q.
58
Let f(h) = h - 2. Let p be f(-2). Calculate the remainder when 20 is divided by (-2 + 0)*14/p.
6
Suppose 2*r - 11 = 47. Let u be (-1)/(-6) + 359/6. Suppose -u + 10 = -5*c. What is the remainder when r is divided by c?
9
Suppose h + 2*n = -5, 0 = -3*h + 5*n + 52 - 23. Calculate the remainder when (4/(-2))/(264/(-42) + 6) is divided by h.
1
Suppose 5*o - 4*m - 11 = -3, -10 = -2*o + 5*m. Suppose -v - 90 = -2*d - 2*d, o = 4*v + 8. Suppose x = -x + d. What is the remainder when x is divided by 6?
5
Let c = 10 - -3. What is the remainder when 2/9 - 446/(-18) is divided by c?
12
Let q = -2 + 0. Let v(f) = -2*f**3 - 2*f - 3. Calculate the remainder when 50 is divided by v(q).
16
Suppose -4*u - 26 = -2*n - 2*u, -4*n - 5*u = -70. Calculate the remainder when 27 is divided by n.
12
Let z(m) = -m**2 + 11*m - 11. Calculate the remainder when 46 is divided by z(8).
7
Suppose 2*a + 3*a - 115 = 3*d, -d - 92 = -4*a. What is the remainder when a is divided by 12?
11
Let r = 82 + -77. Let q(v) = -7*v. Calculate the remainder when q(-2) is divided by r.
4
Let c be 4/18 - 14/63. Suppose -5*i - 3*y = -89, -3*i - 2*y - 2*y + 49 = c. What is the remainder when i