Calculate the remainder when 67 is divided by i(-12).
3
Let u be 0 + 0 - (0 + -2). Suppose 0 = u*p - 7 - 9. Let i = 777 + -756. Calculate the remainder when i is divided by p.
5
Suppose d + 0*d - 47 = 5*s, 2*s - 124 = -3*d. Let l = -26 + d. What is the remainder when 62 is divided by l?
14
Suppose 7*b - 3*b + 32 = 0. Let r be 1/(-2) - (-12)/b. What is the remainder when 26 is divided by 42/7 + (-2)/r?
5
Let s = -18 - -20. Let u(c) = -3*c + c - s + 2*c**2 + 1. Calculate the remainder when u(-1) is divided by 1.
0
Let i(u) = -3 - 2*u + u - 1 - u. Let y(c) = c**2 + 30*c + 34. What is the remainder when y(-30) is divided by i(-8)?
10
Suppose 2*r = -2*r + 24. Suppose 0 = -k - k + r. Suppose w + 5*h = -23, -18 = -5*w + k*h + 7. What is the remainder when 3 is divided by w?
1
Let b(z) = -z**3 - 10*z**2 - 9*z + 6. Let w = -3 - 6. Let v be b(w). Suppose v*p - p - 15 = 0. Calculate the remainder when 6 is divided by p.
0
Let q = 1 - 8. What is the remainder when 14 is divided by (1 - q) + 7 + -7?
6
Suppose 2*f = 4*a + 10 - 44, -13 = 2*a + 5*f. Let p = 116 + -113. What is the remainder when a is divided by p?
0
Let d be (-8)/3*(-3)/2. Let c = 452 + -342. Suppose m = -d*m + c. What is the remainder when m is divided by 5?
2
Let y = 103 - 67. Calculate the remainder when 102 is divided by y.
30
Suppose 587 + 745 = 111*l. Calculate the remainder when 266 is divided by l.
2
Let a = -62 - -118. Calculate the remainder when 107 is divided by a.
51
Suppose 2*w = 3*a + 117, 4*a + a + 69 = w. Calculate the remainder when 161 is divided by w.
53
Let s be 2 - (-4 + 0 + 1). Calculate the remainder when 449/s - (-3)/15 is divided by 23.
21
What is the remainder when (((-26)/(-8))/(-1))/(10/(-120)) is divided by 12?
3
Let t = -18 + 20. Suppose 0 = 4*l - 4*d - 60, t = 2*l + 4*d + d. Calculate the remainder when 30 is divided by l.
8
Let t = -205 + 235. Calculate the remainder when 114 is divided by t.
24
What is the remainder when ((-7)/(-2))/((-164)/56 + 3) is divided by (-100)/(-2)*(-24)/(-48)?
24
Let x = 1109 + -1098. Calculate the remainder when 417 is divided by x.
10
Let q = 24 - 21. Suppose -3*t + 66 = -3*b, 0 = -q*t + b + 44 + 24. Calculate the remainder when 68 is divided by t.
22
Let s(c) = -c**3 - 6*c**2 - 7*c - 8. Let r be s(-6). Let y = -14 + r. What is the remainder when 57 is divided by y?
17
Let l(t) = 24*t - 3. Let c be l(2). Suppose -6*d + c = -d. What is the remainder when 14 is divided by d?
5
Suppose 91*s - 25*s - 692 = -164. Let l(m) = -m + 8. Calculate the remainder when l(-6) is divided by s.
6
Let w = -2019 - -2053. Calculate the remainder when 54 is divided by w.
20
Let m be (-3 - -6)/(3/(24 - 3)). Let u = 23 - m. Calculate the remainder when 7 is divided by u.
1
Suppose -2*c - 4*h + 68 = -4, 5*c = 5*h + 210. What is the remainder when c is divided by 14?
12
Let x(z) = z**3 - 2*z**2 - 4*z - 5. Let c(f) = f. Let h be c(4). Let w(q) = -q**2 - 15*q - 13. What is the remainder when w(-9) is divided by x(h)?
8
Let z = 7 + -2. Let o = -3 + z. What is the remainder when 26 is divided by o*7 - (5 + -5)?
12
Let n = 1756 - 1741. Let v(r) = -3*r**3 - 4*r**2 - r - 4. What is the remainder when v(-3) is divided by n?
14
Suppose -4*l = 2*o - 58, 2*o = 3*o - 3. Let r = l - -7. What is the remainder when 97 is divided by r?
17
Let z be 3 - -1 - (3 - 3). Let g(r) = 3*r + 1. Let p(o) = 2*o + 2. Let f(b) = z*p(b) - 3*g(b). What is the remainder when 17 is divided by f(-5)?
7
Calculate the remainder when 1673 is divided by -1 - (-21 - (9 - -2)).
30
Let y(s) = -s**3 - 16*s**2 + 2*s + 65. Calculate the remainder when 127 is divided by y(-16).
28
Let v(t) = t**3 + 9*t**2 + 1. Let i be v(-9). Let f(a) = 14*a - 7*a + 1 + 9*a. Calculate the remainder when f(i) is divided by 10.
7
Suppose -2*k - 34*o + 29*o = -129, 2*o = -6. What is the remainder when 135 is divided by k?
63
Let j = 180 + -155. Calculate the remainder when 87 is divided by j.
12
Let r(c) = -c**3 + 4*c**2 + 9. Calculate the remainder when r(4) is divided by 4.
1
Let h(v) = 9*v + 42. Let f be 1 - (0/2 - (2 + 2)). Calculate the remainder when h(f) is divided by 23.
18
Let k be (0 - -4 - 3)*16. Calculate the remainder when ((-164)/k)/((-3)/24) is divided by 28.
26
Let o = 20 + -15. Suppose -4*d = 12, -2*t - o*d = -3*t + 66. Suppose -5 = 5*u, -3*a - u + 78 = 2*u. Calculate the remainder when t is divided by a.
24
Let j(m) = m - 4. Let y be j(9). Suppose -y*a + 3*i + 3 = -53, 3 = i. Calculate the remainder when (6/18)/((-2)/(-222)) is divided by a.
11
Let h(y) = 4*y**2 - 6*y - 3. Let k be h(-4). Suppose -4*f - k = -9*f. Suppose 28 = 5*t + 3*q, 27 = 5*t - 3*q + 5. What is the remainder when f is divided by t?
2
Suppose -2*h + 354 = -3*t - 159, -2*t = 3*h + 355. Let w = 336 + t. Calculate the remainder when w is divided by 15.
13
Let r be (-2)/4 - 135/(-30). Suppose -4*v + 188 = r*c, 233 = 5*v - 2*c + 19. Calculate the remainder when 8/v + (-1578)/(-33) is divided by 17.
14
Suppose 542*i - 546*i + t + 101 = 0, 81 = 3*i + t. What is the remainder when 389 is divided by i?
25
Let w = 2991 - 2981. Calculate the remainder when 293 is divided by w.
3
Suppose -o + 9*c - 4*c = -13, -o - 3*c + 5 = 0. Suppose o*u + 17 = 345. Calculate the remainder when 162 is divided by u.
39
Let m(q) = q**2 + 63*q - 42. What is the remainder when 119 is divided by m(-64)?
9
Suppose -2*l - 5*s + 52 = 15, -2*s = -10. Suppose -2*j + 3*j = 9. Calculate the remainder when j is divided by l.
3
Let f = 18 + -13. Suppose -59 + 369 = f*q. Let z = q + -13. What is the remainder when z is divided by 13?
10
Suppose 0 = -q + 6*q - 10, -4*n + q + 22 = 0. What is the remainder when n is divided by 6?
0
Suppose 0 = -14*s + 61 + 93. What is the remainder when s is divided by 3?
2
Let c = 84 + -60. What is the remainder when c is divided by ((-12)/(-20))/(8/40)?
0
Let y = -88 - -94. Let g(f) = 3*f**2 - 7*f - 1. What is the remainder when g(-5) is divided by (84/(-18))/((-1)/y)?
25
Let l(g) = 2*g**2 + 21*g + 154. What is the remainder when l(-12) is divided by 12?
10
Suppose 4*o - 6 = 5*o. Let z = 25 + o. What is the remainder when 92 is divided by z?
16
Let h = -228 - -242. Calculate the remainder when 432 is divided by h.
12
Suppose 0 = -k + 7*k + 48. Calculate the remainder when (-2 - k/12)*261/(-6) is divided by 30.
28
Let c be (-2)/(-2)*((-12)/(-3))/(-4). Calculate the remainder when 38 is divided by c + (3 + -2)*23.
16
Let j(w) = -19*w + 221. Calculate the remainder when 277 is divided by j(10).
29
Let k(m) = m + 1. Let a(i) = -i + 2. Let y(s) = a(s) - 6*k(s). Calculate the remainder when (-93)/(-5) - 2/(-5) is divided by y(-2).
9
Suppose 0 = -y + 65 - 52. What is the remainder when 530 is divided by y?
10
Let h(z) = 6*z**2 - 11*z + 28. What is the remainder when h(3) is divided by 42?
7
Let r(y) = 7*y + 16 - 1 - 2 + 2 - y**2. What is the remainder when 10 is divided by r(8)?
3
Let r(z) = 3*z**2 - 2*z + 1. What is the remainder when 66 is divided by r(-2)?
15
Suppose -15 = z - 5*w, -5*z = -3*w + 7 + 2. Let i = 14 + z. Let t(b) = -8*b - 15. What is the remainder when t(-5) is divided by i?
11
Suppose 7*z = 5 + 2. Let n(u) = 10*u**2 + u. What is the remainder when 86 is divided by n(z)?
9
Let u(w) = w + 1. Let x be u(7). Suppose j - x = -3. Suppose v = 3*p + j*v - 61, 2*v = 8. Calculate the remainder when 42 is divided by p.
12
Suppose 7*t - 1438 + 339 = 0. Calculate the remainder when t is divided by 101.
56
Suppose 0 = 11*a - 3104 + 354. Calculate the remainder when a is divided by 63.
61
Let o be (-129)/(-27) + (-2)/(-9). Suppose 3*x - o*x = 0. Suppose -5*y + 123 = 4*i, -y = -x*i - i - 21. Calculate the remainder when 41 is divided by y.
18
Suppose 5*n + 43 = 3*k + 7*n, 5*k + 4*n = 71. What is the remainder when 703 is divided by k?
13
What is the remainder when 104 is divided by (46/8)/(16/64)?
12
Suppose 4*p = 4*a - 284, -4 = 2*p + 4. Let t(h) be the third derivative of h**5/60 + h**4/24 - h**3/2 + h**2. Calculate the remainder when a is divided by t(4).
16
Let i(m) = -m**3 - 7*m**2 - 4*m + 2. Let c be i(-4). Let s = 35 + c. What is the remainder when 9 is divided by s?
4
Let h(v) = v**3 + v**2 - 6*v - 7. What is the remainder when 28 is divided by h(3)?
6
Let w(a) = 2*a**2 + 3*a - 12. Let u = -9 + 11. Suppose u*l + 48 = -5*x - 2*l, 3*x - 