-5*z = 5*t - 40, x*z = 3*t - 4*t + 11. What is the remainder when 13 is divided by t?
3
Let a be (24/(-9))/(2/(-3)). Suppose -4*h = -a*b + 52, 13 + 4 = -b - 5*h. What is the remainder when 13 is divided by b?
5
Let s(i) = -i**3 + 7*i**2 + 2*i - 9. Let t be s(7). Suppose -3*r = -2*l - 0*r - 2, 3*l - t*r = -5. What is the remainder when 14 is divided by l?
4
Let b be (-344)/(-56) + 2/(-14). Suppose 4*q = b*q - 50. Suppose 0 = -0*d - d + 13. Calculate the remainder when q is divided by d.
12
Let u = -18 - -60. Calculate the remainder when 165 is divided by u.
39
Let m = 7 - -1. Let t(x) = x**3 - 7*x**2 - 4*x - 6. What is the remainder when t(m) is divided by 9?
8
Let v = 128 + -88. Calculate the remainder when v is divided by 15.
10
Let b be 234/12 + (-6)/4. Suppose 2*v - b = -3*m - v, 3*v = -5*m + 22. What is the remainder when 7 is divided by m?
1
Suppose r - 2 = 3. What is the remainder when r is divided by 3?
2
Suppose 188 + 0 = 4*d. Calculate the remainder when d is divided by 12.
11
Let o(f) = 21*f - 3. What is the remainder when o(2) is divided by 6?
3
Let r = 92 - 86. Calculate the remainder when 12 is divided by r.
0
Suppose -n - 61 - 33 = -2*k, 0 = 2*k - 5*n - 110. Calculate the remainder when k is divided by -18*(8/(-3) + 2).
9
Suppose -5*i - 4*k + 401 = 0, 6*k - 4*k + 407 = 5*i. Calculate the remainder when i is divided by 28.
25
Let p(o) = o**3 + 3*o**2 - 2*o + 8. Let f(g) = 2*g**3 + 7*g**2 - 4*g + 15. Let l(z) = 3*f(z) - 5*p(z). Calculate the remainder when l(-5) is divided by 14.
12
Suppose 2*z - 6 = -q, 5*q + 18 = -z + 3*z. Suppose z*s - s = -4*o + 55, -4*o + 49 = 5*s. Calculate the remainder when 28 is divided by o.
12
Suppose 2*g = 5 - 1. Suppose 4*o + 9*z - 4*z - 93 = 0, 4*o + g*z - 78 = 0. What is the remainder when 66 is divided by o?
15
Let u(m) = m + 1. Let d(a) = 12*a - 3. Let z(l) = -d(l) - 4*u(l). Suppose 4*b + 4 + 0 = 0. What is the remainder when 43 is divided by z(b)?
13
Let f(a) = -a + 8. Let r be f(6). Suppose z + 29 = 4*v, r*v - 2*z = 3*z + 19. Calculate the remainder when 25 is divided by v.
4
Suppose -13*v + 852 = -227. What is the remainder when v is divided by 30?
23
Let f = -1 + 3. Suppose -4*r = 5*v - 120, 5*r - 31 = -2*v - 0*v. What is the remainder when v is divided by 1/(f/22) - 1?
8
Let c(b) = -11*b - 5. Let k be 9*-1*2/6. Suppose 5*x - 70 = -4*r, -2*r = -x + r - 5. What is the remainder when c(k) is divided by x?
8
Let i(v) = -v**3 - 9*v**2 - 2*v - 7. Let g = 57 + -37. Calculate the remainder when g is divided by i(-9).
9
Let c(p) = 5*p**2 + p. Let v(u) = 4*u**2 + u - 1. Let h(k) = -2*c(k) + 3*v(k). Calculate the remainder when h(-6) is divided by 16.
15
Suppose -517 = -3*a - 154. Suppose 74 = 5*u - a. Calculate the remainder when u is divided by 10.
9
Let o be 2/(-6) - (-21)/9. Suppose -15 = -3*v + 24. What is the remainder when (-930)/(-18) - o/3 is divided by v?
12
Let v(u) be the third derivative of 7*u**5/30 - u**4/24 - u**2. Calculate the remainder when v(-1) is divided by 9.
6
Suppose 3*k - 98 = 5*a, a + 3*a = -16. Calculate the remainder when 1 - (154/(-2) + 1) is divided by k.
25
Let m be ((-1)/(-2))/(2/(-40)). Let f = m - -21. Let y(l) = l**3 - 12*l**2 - 14*l + 17. Calculate the remainder when f is divided by y(13).
3
Suppose 20 = 5*z + 5. What is the remainder when 37 is divided by 2/z*156/8?
11
Let n = -5 + 5. Suppose 0*a - 4*a + 40 = n. What is the remainder when 28 is divided by a?
8
Let t(l) = 3*l**2 + 2. Suppose b - p - p - 10 = 0, -4*b = -3*p - 20. What is the remainder when 39 is divided by t(b)?
11
Calculate the remainder when 2*(-7)/2*-4 is divided by ((-10)/4)/(2/(-12)).
13
Let v = 24 + -20. Suppose -h + 18 = 4*q - 34, q - v = 2*h. What is the remainder when 22 is divided by q?
10
Let r(b) = -b + 5. Suppose 3*m - 6*m + 39 = 0. Suppose 0 = 2*s - m + 3. What is the remainder when r(-4) is divided by s?
4
Let h(s) = 2*s**2 + 4 + 3*s - s + 1 - 3*s. What is the remainder when h(4) is divided by 17?
16
Let p = -5 + 8. Suppose 0 = -4*i - p*s + 152, 0 = 4*i - 2*i - 3*s - 76. Suppose 0*b + i = b. What is the remainder when b is divided by 10?
8
Let l be 41/((3 - 1) + -1). Suppose -4*d + 55 = -3*k, -3*d + l = 2*k + 4. Calculate the remainder when 25 is divided by d.
12
Let b(k) = -k**3 + 2*k**2 + k + 50. What is the remainder when b(0) is divided by 26?
24
Let j be (-3)/(-3)*(-1 + 2). Let l = 12 + j. Suppose -l = -2*p + 17. What is the remainder when 28 is divided by p?
13
Let g(l) = 3*l**2 - 3*l. Let z be g(-3). What is the remainder when 23 is divided by 8/z + 104/18?
5
Let m = -52 - -4. Let y be -8*(-4)/(m/9). Let s = y - -74. What is the remainder when s is divided by 23?
22
Let b(x) be the first derivative of x**3 - x**2 - 9*x - 5. Calculate the remainder when b(4) is divided by 11.
9
Suppose 4*n + 3 = 7. Let o be 6/(-2 + 4) - 1. Let s = 3 - o. Calculate the remainder when n is divided by s.
0
Suppose 15*l = 19*l - 688. What is the remainder when l is divided by 44?
40
Let z = -36 + 50. Let g(x) = -x. Let f be g(-2). Suppose 7*c - f*c - 5*m = 190, 0 = -3*m + 6. Calculate the remainder when c is divided by z.
12
Suppose 0*b + 4*b + 3*j = 327, -2*b + 4*j = -158. Let n = 39 + -18. What is the remainder when b is divided by n?
18
Let i = 112 + -52. Suppose 0*o + i = 3*o. Calculate the remainder when o is divided by 7.
6
Suppose -5*z + 20 = 3*o - 1, 0 = -5*o - 2*z + 54. Calculate the remainder when 45 is divided by o.
9
What is the remainder when 24 is divided by (-623)/(-42) - (-1)/6?
9
Suppose n = -3*d + 56, 2*n - n - 36 = -2*d. Suppose 4*y - 486 = y. Suppose y = 4*v - 2*m, -3*v - 27 = 4*m - 132. What is the remainder when v is divided by d?
19
Calculate the remainder when 43 is divided by (-2)/(-16) - (-796)/32.
18
Let i = 19 - 12. Let g = i + 20. Calculate the remainder when 107 is divided by g.
26
Let f(b) = 6*b**2 - 3*b + 3. What is the remainder when f(6) is divided by 17?
14
Suppose 0 = 5*u - 15 + 5. Let p(a) = 5*a**3 - 2*a**2 - 2*a + 1. What is the remainder when p(u) is divided by 16?
13
Let t = -16 - -27. Suppose -3*n = -n + q - 9, -2*n + t = 3*q. Calculate the remainder when n is divided by 2.
0
Suppose f = -4*w - 4, 4*w + 5*f = -0*f + 12. Let o = 13 + w. What is the remainder when 32 is divided by o?
10
Suppose 0*m - m = -5. Calculate the remainder when 24 is divided by m.
4
What is the remainder when (75/3)/(1 - 0) is divided by 14?
11
What is the remainder when 0/2 + 1 - -28 is divided by (145/(-174))/((-2)/24)?
9
Suppose -26 = -2*s - 3*r, 3*s = 4*s - 2*r - 6. Let o(n) = -n - 2. Let x be o(-6). Suppose x = v - 15. Calculate the remainder when v is divided by s.
9
Let c = -36 + 101. Let f = -7 + c. Calculate the remainder when f is divided by 20.
18
Suppose -t + 75 = 3*v + v, -2*t - 12 = -v. What is the remainder when 68 is divided by v?
14
Suppose -4*v + 181 = 5*f, f + 2*v - 40 = 5*v. Calculate the remainder when f is divided by 13.
11
Suppose -5*v + 34 = f, 5*v - 26 = -3*f + 4*f. What is the remainder when 17 is divided by v?
5
Let s = 6 + 2. Let o be (1 - -11)*(-2)/(-6). Suppose -p + o*p - 69 = 0. What is the remainder when p is divided by s?
7
Let j = 102 + -97. Let m be 6/(-4)*(-8)/(-6). Let x(y) = -2*y**3 - y**2 + 1. What is the remainder when x(m) is divided by j?
3
Let q(c) = -c**3 - 6*c**2 - 5*c - 8. Calculate the remainder when 87 is divided by q(-6).
21
Suppose x - 9 - 7 = 0. What is the remainder when 27 is divided by x?
11
Let h = -91 + 276. What is the remainder when h is divided by 17?
15
Suppose -3*k - 4*t - 24 = -0, 3*t = k - 5. Let m(d) = -d**2 + 10*d + 4. Let r be m(9). Let b = r + k. What is the remainder when b is divided by 5?
4
Let r(t) = -21*t**3 - t**2 + 1. Let d = 106 - 66. What is the remainder when d is divided by r(-1)?
19
Suppose -5*w - 45 = -15. Let t(g) = g**3 + 5*g**2 - 6*g + 4. What is the remainder when 7 is divided by t(w)?
3
Let l = 130 - 56. What is the remainder when l is divided by 19?
17
Let x(i) = 2 + 0*i**2 - i**2 + 3*i - 5 + 5*i. Let b be x(7). Suppose p = -b, -4*h - p + 2*p = -36. What is the remainder when h is divided by 3?
2
Let r(i) = 2*i**2 - 8*i - 5. Let d be r(-8). Let u = 272 - d. Suppose -3*x - 25 = -u. Calculate the remainder when x is divided by 7.
6
Let s = 105 - 55. Suppose -3*r + 4*r = 5. Suppose 0 = -r*c + c + 68. W