- 537 = -3*b. Let x = z - 157. What is the remainder when 55 is divided by x?
17
Suppose 10*v = 8*v. Suppose -2*u + 4*u - 86 = v. Calculate the remainder when u is divided by 15.
13
Suppose y = i + 81, 5*y + 65 = -5*i + 420. Let t(z) = 4*z - 12. What is the remainder when y is divided by t(8)?
16
Let l(q) = q - 6. Suppose n - 1 = 7. Let c be l(n). Let y = c + 0. Calculate the remainder when 5 is divided by y.
1
Suppose 2*b = -2*k + 12, -12 = -2*k - 70*b + 74*b. What is the remainder when 41 is divided by k?
5
Let x = 86 - 22. What is the remainder when 122 is divided by x?
58
Suppose -4*a - 5*h + 292 = 29, 3*a + 4*h = 197. What is the remainder when a is divided by 19?
10
Suppose -3*o - 3*k = -15, -5*o = 2*k - 3*k - 49. Let w = o + -6. What is the remainder when w is divided by 25/15 - 2/3?
0
Let q = -873 + 1616. Calculate the remainder when q is divided by 34.
29
Let g(d) = 10*d**2 - 2*d - 1. Suppose -4*a - 154 + 132 = -2*h, -5*a = 2*h - 67. What is the remainder when g(3) is divided by h?
20
Suppose 54*o + 14*o - 5876 = -45*o. Calculate the remainder when o is divided by (-3)/3 + (20 - 1).
16
Let u(r) = r**3 - 10*r**2 + 14*r - 12. Let a(s) = s**3 - 10*s**2 + 13*s - 12. Let l(d) = -6*a(d) + 5*u(d). Calculate the remainder when 187 is divided by l(9).
19
Let r(m) = 3*m**2 + 2*m + 5*m - 3*m + 2. Let v(w) = 7*w - 16. What is the remainder when r(-4) is divided by v(4)?
10
Let r(m) = m**2 + m - 11. Let w be r(3). What is the remainder when -1*(w - 2)*13 + -4 is divided by 6?
3
Let l(m) = 5*m**2 + 4*m + 4. Suppose -6 = c + c. Calculate the remainder when 144 is divided by l(c).
33
Let t be 0 - (4/(-4))/((-2)/(-4)). Suppose b - t*b + 2*r + 10 = 0, 80 = 5*b - 4*r. What is the remainder when 99 is divided by b?
19
Let g = -51 - -81. Suppose -s + 2*i + 0*i = -15, -2*s = 5*i - g. Let d(z) = z + 58. What is the remainder when d(0) is divided by s?
13
Suppose 0 = 5*n - 3*i - 40, -n + 29 + 7 = 5*i. Let f(s) = s**3 + 5*s**2 + 4*s + 3. Suppose -2*v = 2 + 2. Calculate the remainder when n is divided by f(v).
4
Let p be 16*5/10 + -2. Let a be p/4*22/11. Suppose 7*w - 4*w - 95 = -5*f, -63 = -a*f - 3*w. What is the remainder when 31 is divided by f?
15
Let p = 45 + -43. Let b = p + 9. What is the remainder when b is divided by 6?
5
Suppose -5 = 8*g - 365. What is the remainder when 166 is divided by g?
31
Suppose -3*h + 9*n - 13*n + 878 = 0, 2*n = 10. What is the remainder when h is divided by 17?
14
Suppose -3*v + 93 = -13*r + 15*r, 2*v = -3*r + 127. What is the remainder when 193 is divided by r?
37
Let l(s) = -9*s + 1. Let r be l(1). Let v be 78/((-4)/1 - -6). Let k = v + r. What is the remainder when k is divided by 8?
7
Suppose 3*w = w + 22. Let y be 19/3 + 4/6. Let r = w - y. Calculate the remainder when 13 is divided by r.
1
Suppose 4*a = -0*b + b - 4, 5*b - 5 = 5*a. Let r(o) = o**2 - o + 57. Let j = -2674 + 2686. What is the remainder when r(b) is divided by j?
9
Calculate the remainder when (884/8)/(9/18) is divided by 15.
11
Let q(j) = 15*j + 391. Let r(x) be the first derivative of 13*x**3/3 - x + 2. Calculate the remainder when q(-23) is divided by r(-1).
10
Let p(v) = v**3 - v**2 + v + 45. Let w be p(0). Calculate the remainder when 29 is divided by (-6)/w + (-276)/(-45).
5
Let r be 2*((-35)/(-5) - 1). Suppose 10 = a - r. Calculate the remainder when 61 is divided by a.
17
Let x(w) = w**2 + 18*w - 239. Suppose 2*m - 6*m + 20 = 0. What is the remainder when m is divided by x(9)?
1
Calculate the remainder when (-12)/(-6)*(3 - (-284)/8) is divided by 39.
38
Let m(j) = 24*j - 72. What is the remainder when m(7) is divided by -9 + 6 + (37 - 1)?
30
Calculate the remainder when (4 - -7)/((-2)/(-4)) is divided by 3.
1
Let a be (-2)/8 - 11/4. Calculate the remainder when (-2)/6*(a - 84) is divided by (4/5)/((-2)/(-20)).
5
Let g(l) = 117*l - 36. Calculate the remainder when g(1) is divided by 30.
21
Suppose -3*f = -f + 24. Let d = -9 - f. Suppose -3*m - 30 - 24 = -d*x, 5*x = -4*m + 45. Calculate the remainder when 22 is divided by x.
9
Let a be 24/(-2)*(-35)/15. Let t = a - 13. Suppose m + 5*f = 27, -3*m = -m + 4*f - 54. What is the remainder when m is divided by t?
12
Let j = 1250 - 1231. What is the remainder when 73 is divided by j?
16
Let l(f) = 4*f - 94. Calculate the remainder when 83 is divided by l(31).
23
Let v(k) = 2*k - 20. Let l be v(16). Let m(n) = n**2 - 5*n - 1 + 0*n**2 - 5*n - 2. What is the remainder when m(l) is divided by 8?
5
Let b = -475 + 555. Let o(s) = 8*s + 1. Calculate the remainder when b is divided by o(2).
12
Let c(a) = -1 + a - 2*a + 6*a + a**2. Calculate the remainder when c(-9) is divided by 19.
16
Suppose 3600 = 5*w + 7*w. Calculate the remainder when w is divided by 34.
28
Let c = -313 - -566. What is the remainder when c is divided by 64?
61
Calculate the remainder when 58 is divided by 630/(-60)*(-1 + (-1)/(-3)).
2
Let l = 169 - -159. Let y = l - 195. Suppose 0 = -5*b - 3*u + y, -2*u + 5*u = 3*b - 99. What is the remainder when b is divided by 10?
9
Let z = -37 - -38. Let r = z + 10. Suppose -13 = -m + r. Calculate the remainder when m is divided by 7.
3
Suppose 2*g - 1 = -5. Let k(v) = 16*v**2 + 5*v + 3. What is the remainder when k(g) is divided by 2*(-17)/(-2) - 2?
12
Suppose 2*l = -u + 11, -5*l - 115 = -5*u - 3*l. What is the remainder when 96 is divided by u?
12
Suppose 2*j - 3*j + 71 = 0. Suppose 2*v - j = -3*k, 0 = -3*k + 8*k - 2*v - 145. What is the remainder when k is divided by ((-76)/57)/((-4)/42)?
13
Let k be 46/14 + 16/(-56). What is the remainder when 89 is divided by 55/(-22)*-2*k?
14
Let w = -31 - -65. Suppose 3*l - w = -1. Let x = 0 + 4. Calculate the remainder when l is divided by x.
3
Suppose 0 = g - 0*g + 155. Let l be ((-12)/20)/(1/g). Suppose 0*c = 3*c - l. What is the remainder when c is divided by 8?
7
Let g be -13 + 1 - (2 + -6). Let i = g - -8. Suppose -3*f + 5*b - 11 = i, f = -3*f + 4*b - 4. Calculate the remainder when 5 is divided by f.
2
Let b(q) = q**3 + 8*q**2 + 8*q + 4. Calculate the remainder when b(-6) is divided by ((-80)/96)/((-2)/12).
3
Let t(d) = -2*d + 58. Let w be t(29). Suppose w = 2*n - 31 - 9. Calculate the remainder when 36 is divided by n.
16
Suppose -4*x + 433 = 3*z + 130, -5*z + 505 = -4*x. Suppose 5*j - 102 = 3*s, 5*j - z = s + 3*s. What is the remainder when 75 is divided by j?
12
Let a be 6/21 + (-445)/(-35). Let f = a + 8. Suppose -8*k + 5*k + f = 0. Calculate the remainder when 26 is divided by k.
5
Let t(d) = -d**2 + 23. Let h(n) = -2*n**2 + 46. Let p(x) = -2*h(x) + 5*t(x). What is the remainder when p(0) is divided by 8?
7
Let y(b) = b**2 - 8*b + 9. Let g be y(7). Suppose -3*n + t + 5 - 17 = 0, -4*n - 6 = g*t. Calculate the remainder when (-10 + 7)*50/n is divided by 13.
11
Let c(h) = h**3 + 12*h**2 + 18*h - 13. Let d(v) = v - 18. Let b be d(8). Calculate the remainder when 32 is divided by c(b).
4
What is the remainder when (-12)/(-21) - ((-4890)/(-7))/(-6) is divided by 39?
0
Let q(m) = -20*m - 1. What is the remainder when q(-10) is divided by 34?
29
Let p = -2221 - -2242. Suppose -5*y + 425 = 30. What is the remainder when y is divided by p?
16
Let m(f) = -1 - f - 2*f - 3*f. Let l be m(-1). Calculate the remainder when (3 - l)/1 - -65 is divided by 13.
11
Let w(j) = 102*j**2 - 2*j - 1. What is the remainder when w(1) is divided by 22?
11
Let j(y) be the second derivative of 2*y**3/3 - 4*y**2 + 26*y. Calculate the remainder when 95 is divided by j(8).
23
Let r = -748 + 759. What is the remainder when 912 is divided by r?
10
Let w be ((-22)/(-3))/(1/6). Let q = w - 25. Let i(b) = -7*b - 5. Calculate the remainder when i(-6) is divided by q.
18
Let w = 27 + -25. Suppose -3*r + 172 = -2*q, -w*q - 228 = -4*r - 0*q. Calculate the remainder when r is divided by 20.
16
What is the remainder when 90 is divided by 9 + ((-5)/(30/(-48)) - 6)?
2
What is the remainder when (-1)/(-2 - 596/(-300)) is divided by 20?
15
Let s(r) = r - 3. Let o be s(5). Calculate the remainder when 25/4*((-12)/33)/(14/(-154)) is divided by (o*-1)/((-4)/18).
7
Let z = -6 + 20. Suppose 5*p - z - 66 = 0. Suppose -2*a + 3*j + 21 = 0, -a - 2 + 11 = -j. Calculate the remainder when p is divided by a.
4
What is the remainder when 227 is divided by (-2)/9 - 9756/(-162)?
47
Let f(h) be the third derivati