.
11
Suppose -1888 = -9*x - 61. Calculate the remainder when x is divided by 64.
11
Let f(x) = x**3 - 24*x**2 + 5*x + 6. Let n be f(24). Let u = n + -108. What is the remainder when 35 is divided by u?
17
Let p(g) = -4*g**2 + 6*g + 21. Let r be p(10). Let i = -222 - r. What is the remainder when i is divided by 14?
13
Let t(w) be the first derivative of w**2 - 4*w + 1. Suppose -15 = -5*z, 4*p + 0*z + z - 27 = 0. Calculate the remainder when p is divided by t(3).
0
Suppose 8 = j + 5. Suppose -4*f - 18 = 2*y + j*y, 5*f = -5*y - 25. What is the remainder when 25 is divided by 1/(27/f - -4)?
4
Let v(s) = -23*s - 151. Let u(n) = 22*n**2 - n + 2. Calculate the remainder when u(3) is divided by v(-8).
32
Let r(d) = -47*d. What is the remainder when 844 is divided by r(-1)?
45
Let w(m) = m**2 + 3*m - 2. Let k be w(-4). Suppose -2*t = 5*u - 36, 0 = 2*t - 3*u - 2*u - 16. What is the remainder when t is divided by (k + -3)/(4/(-16))?
1
Let a(c) = -15*c - 18 - 3 - 29. Calculate the remainder when a(-7) is divided by 14.
13
Let g = -12 + 12. Suppose g = -9*i + 13*i - 8. Let c = 19 + -12. Calculate the remainder when c is divided by i.
1
Let f = 190 - 162. Calculate the remainder when f is divided by 10.
8
Let q(k) = k**2 - 5*k - 8. Let a be q(7). Suppose 2*j = -j + a. Let i = -1082 + 1084. What is the remainder when j is divided by i?
0
Suppose 4 = 391*t - 389*t. Suppose -r + 4*r - 9 = 0. Suppose r*w = -t*x + 88, -w + 5*x - 129 = -5*w. Calculate the remainder when w is divided by 14.
12
Suppose -5*b - 165 = -5*r, 5*b - 3 = r - 48. What is the remainder when r is divided by 8/(-6)*29/((-232)/48)?
6
Suppose 0 = -5*s - n - 3*n + 202, -123 = -3*s - 3*n. Suppose -9*z + 10*z - s = 0. What is the remainder when 75 is divided by z?
37
Suppose 10*u - 171 = 839. What is the remainder when 907 is divided by u?
99
Suppose 4*g - 23 = 3*f, 2*g - 2*f = 6 + 6. Calculate the remainder when 14 is divided by g.
4
Suppose u - 7 = 4*x + 12, x = 2*u - 59. What is the remainder when 117 is divided by u?
24
Let a be 1 + -3 + (-15 - -2). Let p = 32 + a. Calculate the remainder when p is divided by 6.
5
Let l(p) be the first derivative of -5*p**4/4 - p**2 - p + 8. What is the remainder when l(-2) is divided by 15?
13
Let n(u) = -u**3 - 19*u**2 - 50*u - 22. Calculate the remainder when 167 is divided by n(-16).
7
Let l = 31 + -42. What is the remainder when 88/(-20)*5*l is divided by 49?
46
Suppose -y - 8*q + 34 = -7*q, -4*y + 5*q = -91. Let z = -23 + 39. Suppose z = 2*r - 0*r. Calculate the remainder when y is divided by r.
5
Let y = 9 + -7. Suppose y*m - 3 = 3*m, -4*z = -3*m - 109. What is the remainder when 72 is divided by z?
22
Let a be 8/6*693/(-42). Let q(x) = x + 38. Suppose p + 2*p = 135. What is the remainder when p is divided by q(a)?
13
Suppose -4*p + 5 = -15. Let l(b) = b**3 - 5*b**2 + 9. What is the remainder when 15 is divided by l(p)?
6
Let g(f) = 39*f**2 + 14*f - 55. What is the remainder when g(3) is divided by 49?
44
Suppose 6*x - 84 - 60 = 0. Let f be (28/12 + -2)*x. Suppose -4*a + 4*n = -20, 3*n = -3*a - a - f. What is the remainder when 3 is divided by a?
0
Let x(r) = -r**2 - 5*r + 11. Let h be x(-6). Let o(l) = 4*l + 7. Calculate the remainder when o(h) is divided by 6.
3
Let y(g) = -31*g + 135. What is the remainder when 114 is divided by y(4)?
4
Let d(w) be the first derivative of w**4/4 - w**3 + 7*w - 1. Calculate the remainder when d(5) is divided by 29.
28
Let s be 3 + -5 - -2 - -15. Let w = s - -8. What is the remainder when w is divided by 2?
1
What is the remainder when 34 is divided by (9 - (-12)/(-4)) + (-18)/(-2)?
4
Let f(y) = y**2 - 8*y + 9. Let c be 2 + 8 + 0/9. Let d(l) = 10*l - 5. What is the remainder when d(6) is divided by f(c)?
26
Let y(h) = 2 + h + 2 + 2*h**2 + h**3 - 6. Let w(a) = -a**2 - 21*a + 48. Let l be w(2). What is the remainder when 63 is divided by y(l)?
15
Suppose -2*t + 61 + 55 = 0. Let w = 83 - t. Calculate the remainder when 122 is divided by w.
22
Let i = -879 + 915. Calculate the remainder when 394 is divided by i.
34
Let x = 57 - 43. Calculate the remainder when 16 is divided by x.
2
Suppose -2*r + 5*b = 15, -3*r + 2*b - 28 = -0*b. Let x = 18 + r. Suppose 0 = -2*w + x*w - 108. What is the remainder when w is divided by 10?
8
Let n(w) = -3*w - 3. Let v be n(-2). Suppose 2*k - 12 = -v*q + 49, -k = 3*q - 38. Let m = k - 8. What is the remainder when 28 is divided by m?
13
Let f = 11 + 26. Calculate the remainder when f is divided by 11.
4
Let k = 1123 + -736. Calculate the remainder when k is divided by 17.
13
Let k(t) = t**3 + 3*t**2 - 4*t + 3. Let b be -2 - -4 - (7 - 1). Let f be k(b). Suppose -4*d = -f - 13. Calculate the remainder when 15 is divided by d.
3
Suppose -4*m + 0*m + 64 = 0. Suppose -o = 0, 0*b + m = 2*b - o. What is the remainder when 37 is divided by b?
5
Let s(c) = 2*c**2 - 3*c - 7. Let a = 19 - 20. Let t = 4 - a. What is the remainder when 52 is divided by s(t)?
24
Suppose 0 = -3*v - v + 3028. What is the remainder when v is divided by 69?
67
Suppose 0 = -67*q + 70*q - 108. Let k be (12/(-4) - -11)/2. Suppose -k*a + 39 = -13. Calculate the remainder when q is divided by a.
10
Suppose -3*i + u = -7, -5*u + 19 = -4*i + 7*i. Suppose -24 = -4*k + 24. Let w = k - i. Calculate the remainder when 24 is divided by w.
6
Suppose t + 2*t - 4*b = 82, 4*b = 4*t - 112. Let w = t - 12. What is the remainder when 33 is divided by w?
15
Suppose -8*d = -5*d - 120. What is the remainder when 157 is divided by d?
37
Suppose 64*u - 54*u = 7360. Calculate the remainder when u is divided by 67.
66
Let h = 7 - 5. Suppose -2*c - h = 2*o, -4*c + 4*o = 3*o - 6. What is the remainder when c/2 + 340/8 is divided by 11?
10
Suppose w = -0*w - 2*c + 93, -w - 4*c + 97 = 0. Let i = 107 - w. Calculate the remainder when i is divided by 6.
0
Let f(m) = m**2 + 47*m + 589. What is the remainder when 287 is divided by f(-24)?
28
Suppose -3*h = -2*h + c + 3, 0 = -4*h + 5*c - 3. Let w be (3 + -7)/(-1) - h. Calculate the remainder when 109 is divided by 164/w - 2/(-3).
25
Let s(k) = 5*k**2 + 8*k + 5. Let x be s(-6). Let n = x - 96. Let i = -28 + n. What is the remainder when 37 is divided by i?
11
Suppose 12 = -4*o - 3*r + 89, 0 = -r - 5. What is the remainder when -23*(-4)/1 + -2 is divided by o?
21
Let q = 786 - 561. Suppose -q = -4*b - 5. Calculate the remainder when b is divided by 29.
26
Let w(c) = -4*c + 16. Let g be w(3). Suppose g*m = 4*o - 0 + 40, -2*o + 64 = 5*m. Calculate the remainder when 58 is divided by m.
10
Let u(n) = -25*n - 7. Let t be (-4)/((-16)/(-20)) - (-2 + -1). Calculate the remainder when u(t) is divided by 24.
19
Let n(v) = 8*v**2 + v. Let f be 6/(-4) - 3/(-6). Let t be n(f). Suppose 3*h = t*h - 20, -90 = -4*r + 2*h. What is the remainder when r is divided by 13?
12
Suppose -4*i = 0, 62 + 16 = 2*n + 2*i. Calculate the remainder when 305 is divided by n.
32
Suppose -3*t + 173 = 35. Let k = -29 - 10. Let b = -23 - k. What is the remainder when t is divided by b?
14
Let i = 721 + -628. Calculate the remainder when 647 is divided by i.
89
Suppose 31 = 3*y - 2*q, 2*y = -2*y - 2*q + 18. Suppose 4*a - 15 = -5*o, 2*a - 4*o = -a + 50. What is the remainder when a is divided by y?
3
Suppose 2*o + 3*c = 5*c + 912, 1 = -c. What is the remainder when o is divided by 115?
110
Suppose 2*v + 5*s = 4*s + 142, 3*s = -12. Calculate the remainder when v is divided by 15.
13
Suppose -6*s + 3*s = 5*n - 31, 5*n = 25. Suppose 6 + 0 = -s*u, -2 = -w - 2*u. Calculate the remainder when 38 is divided by w.
6
Suppose -3*w + 2*i = -426 - 520, -5*w + 2*i = -1582. What is the remainder when w is divided by 29?
28
Suppose 4*s + 84 = 3*d + 2*s, -d + 4*s + 28 = 0. Suppose 3*u - 17*p + 19*p - 250 = 0, -65 = -u + 3*p. What is the remainder when u is divided by d?
24
Suppose -3*m = -426 + 33. Let t = 186 - m. Suppose -w + 0*w = -29. Calculate the remainder when t is divided by w.
26
Suppose -3*q = -310 - 176. Suppose -6*w + 9*w = q. What is the remainder when w is divided by 14?
12
Suppose -2*x + 32 = 24. Calculate the remainder when 59 is divided by 2/(44/(-16) + 3) + x.
11
Let s = 241 + -145. Suppose -s = -12*m + 6*m. Calculate the remainder when 29 is divided by m.
13
Let b(p) = -p**2 - 13*p + 17. Suppose -6*t - 39 = -9*t. Suppose -2*k + 7 = -t. Calcul