uppose 0 = -12*t + 5*t - 42. What is the remainder when 88 is divided by q(t)?
8
Let c(m) be the third derivative of m**4/12 + 13*m**3/3 + 16*m**2. What is the remainder when 63 is divided by c(-9)?
7
Let z = 13 + -8. Let f = -2 + z. What is the remainder when 4*(22/(-24))/((-36)/108) is divided by f?
2
Let o(m) = 4*m**2 + 120*m + 3. What is the remainder when 292 is divided by o(-30)?
1
Suppose 0 = 70*b - 28811 + 9981. What is the remainder when b is divided by 18?
17
Let p = 57 - 43. Suppose 0 = -3*i - 0*i + 12. Calculate the remainder when p is divided by i.
2
Let z be 6/(1*(-3)/(-2)). Suppose -58 = -3*y + y + z*w, -3*w = 12. Let a = y + -16. Calculate the remainder when 19 is divided by a.
4
Let f(y) = y**3 - 5*y**2 - 2*y + 4. Suppose -20*a - 28 = -24*a. Calculate the remainder when f(a) is divided by 30.
28
Suppose b - 13 = 5*w + 27, -5*b - 5*w = -140. Let g = -28 + b. Calculate the remainder when 7 is divided by g.
1
Suppose 91 = 6*k + 13. What is the remainder when 34 is divided by k?
8
Suppose -370 = -5*o + 4*f, 0 = 6*f - 7*f + 5. Calculate the remainder when o is divided by 6.
0
Let s(z) = 15*z**2 - 14*z - 8. Calculate the remainder when s(-3) is divided by 45.
34
Let f(z) = 3*z**2 + 1. Let v be f(-1). Suppose -m + 1 = -5*d - v, m + 5*d = 25. Calculate the remainder when m is divided by 9.
6
Let h(k) = k - 5. Let x be h(4). Let f = -8 + x. What is the remainder when 45 - f/12*-4 is divided by 11?
9
Calculate the remainder when 161 is divided by 45/(-9) - (0 + -55 + -2).
5
Let p = -225 - -431. Calculate the remainder when p is divided by 35.
31
Let w(z) = -10 + 1 - 4*z + 2 + 5. Let m be (2 - (-28)/(-10))*5. What is the remainder when 55 is divided by w(m)?
13
Suppose 5*x - 12855 = -10*x. Calculate the remainder when x is divided by 66.
65
Suppose 10*n = 4*x + 9*n - 38, -x - 4*n + 1 = 0. Calculate the remainder when x is divided by 3.
0
Let v = -76 + 77. What is the remainder when -2 + 60 - -2 - v is divided by 10?
9
Suppose -88 = 24*u - 25*u. Calculate the remainder when 31 is divided by (-1 - 0)*u/(-8).
9
Let c(n) = -n**2 - 9*n - 7. Let d(q) = 0 - 6*q + 3 + 0*q**2 - q**2. What is the remainder when c(-3) is divided by d(-6)?
2
Suppose 598*z - 602*z + 104 = 0. What is the remainder when 699 is divided by z?
23
Let n = -620 + 669. Calculate the remainder when n is divided by 18.
13
Let p = -94 - -66. Let b = 101 + -93. Calculate the remainder when (23/(-4))/(7/p) is divided by b.
7
Let i be 2875/(-50)*12/10. Let s = -44 - i. Suppose -r = 3*r - 28. What is the remainder when s is divided by r?
4
Let n(y) = y**3 + 20*y**2 - 43*y + 30. Calculate the remainder when 60 is divided by n(-22).
4
Let w(c) = -c**2 - c - 9. Let r be w(0). Let d be (1 - 2)*-2 + r. Calculate the remainder when 23 is divided by ((-2)/4)/(d/168).
11
Let d be 4/(-8) - (-201)/2. Let v = d - 68. Let u = 44 - v. Calculate the remainder when 18 is divided by u.
6
Suppose -554*u + 550*u + 84 = 0. Calculate the remainder when u is divided by 16.
5
Calculate the remainder when 125 is divided by 3/(-54)*4 - (-290)/9.
29
Suppose 0 = -14*n + 4*n + 10. What is the remainder when 6 is divided by n?
0
Let a = 5 + 5. Let b(w) be the second derivative of -w**4/12 + 2*w**3 + 3*w**2/2 - w + 61. Calculate the remainder when 45 is divided by b(a).
22
Let z = 149 + -139. Suppose 2*h = 5*c - 126, 84 = 4*c + h - 22. Calculate the remainder when c is divided by z.
6
Suppose -5*z - 4*k + 637 = 0, 6*z = 3*z + k + 372. Let c = -84 + z. Calculate the remainder when 201 is divided by c.
37
Suppose -7*w - 3*x + 70 = -6*w, w - 5*x - 78 = 0. Calculate the remainder when 207 is divided by w.
61
Suppose v - 5 = 5. Suppose 0 = -0*h + h + v. Calculate the remainder when (-836)/h + 21/(-35) is divided by 21.
20
Let n(w) = 3*w**3 - 6*w**2 + 6*w - 10. What is the remainder when n(6) is divided by 116?
110
Let d = -1300 + 1316. Calculate the remainder when (58/5)/((-2)/(-10)) is divided by d.
10
Let x(q) = 4*q - 1. Let y(c) = 4*c + 7. Let n(w) = w + 2. Let g(u) = 22*n(u) - 6*y(u). Let d be g(0). What is the remainder when 13 is divided by x(d)?
6
Suppose 2*o - 14 = -4*v + 2*v, -4*o = 2*v - 30. Suppose -3*n + 326 = -4*h, -n + 153 = 3*h + 40. Let j = o + n. What is the remainder when j is divided by 30?
28
Let c be 2*((-42)/4 + -1). Let a = c - -44. Suppose 20045 = -17*x + 20742. What is the remainder when x is divided by a?
20
Let q = 50 + -50. Suppose q = 5*y - 2*s - 30, 6*y - 26 = 4*y - 2*s. Calculate the remainder when 13 is divided by y.
5
Suppose y = 2*p - 517, 3*y = 3*p - 993 + 222. Let l = p - 173. What is the remainder when l is divided by 45?
42
Let z(y) = -y + 10. Calculate the remainder when 3/(-9)*-9*6 - -4 is divided by z(-7).
5
Let f(y) = -16*y + 135. Calculate the remainder when f(-12) is divided by 104.
15
Let q(p) = p**3 - 13*p**2 + 17*p - 18. Let i be q(12). Let z = 45 - i. What is the remainder when 4 is divided by z?
1
Let i = 199 + -147. Calculate the remainder when 199 is divided by i.
43
Let r(d) = d**3 - 16*d**2 + 2*d - 29. Let w be r(16). Suppose -w*m + 48 = 3*c - m, 0 = -c - m + 17. What is the remainder when c is divided by 5?
4
Let m = -8 + 10. Suppose 0 = -u, m*g - 3*u = 2*u + 22. Calculate the remainder when -3 - (-4)/((-8)/(-66)) is divided by g.
8
Calculate the remainder when -15*6/18 - (-1608)/2 is divided by 50.
49
Let c(k) = -k + 29. Let f = 13 + -26. Let h be c(f). Suppose -x - b - h = -4*x, x + 3*b - 24 = 0. What is the remainder when 29 is divided by x?
14
Let q(s) = -15*s - 33. Calculate the remainder when 189 is divided by q(-3).
9
Suppose 3*c + 3 = 18. Suppose 8*k = c*k + 18. What is the remainder when 1*(2 + -1) + 15 is divided by k?
4
Let z be (-24 + (-4)/(-2))*-4. Let a be (-4)/2 - z/1. Let w = -61 - a. Calculate the remainder when w is divided by 16.
13
Let z = -3 + 10. Let s be 10/(-3)*(-1 - -4). Let i = s - -22. What is the remainder when i is divided by z?
5
Let o = -51 - -80. Let f = 350 + -207. Calculate the remainder when f is divided by o.
27
Let k = -802 + 855. Calculate the remainder when 741 is divided by k.
52
Let x(d) = 11*d - 4. Let f be x(-3). Let a = 16 - f. Suppose 8 - a = -5*w. What is the remainder when 33 is divided by w?
6
Suppose -3*h = -2*w - 62, -8 = -h - 4*w + 22. Calculate the remainder when 241 is divided by h.
21
Let l(z) = z**2 + 10*z - 22. Let j be l(-12). Suppose -4*r + 80 = -d, 2*r + j*r - 3*d = 72. What is the remainder when r is divided by 12?
9
Suppose 6*c = 3*c + 219. What is the remainder when c is divided by ((-414)/(-690))/((-6)/(-250))?
23
Suppose -2*o - 3 + 11 = 0. Let l(u) = -u + o - 3 - u - 2*u. What is the remainder when l(-4) is divided by 6?
5
Let o(w) = -w**3 + 19*w**2 - 32*w - 77. Calculate the remainder when o(15) is divided by 58.
53
Let j(t) = -t**2 + 9*t + 10. Let k be j(10). Suppose 0*s + s = k. Suppose s = -5*m - 4*m + 351. What is the remainder when m is divided by 8?
7
Let x(c) = -5*c + 51. What is the remainder when x(-4) is divided by 15?
11
Suppose a - 3*m = -2*a + 102, -171 = -4*a - 3*m. Calculate the remainder when 145 is divided by a.
28
What is the remainder when 248 is divided by (-3399)/(-55) - (-6)/5?
59
Let j = -4 + 10. Let l be 54/2 + j/2. Suppose 2*b = l + 36. What is the remainder when b is divided by 9?
6
Let j(h) = -9*h + 34. Calculate the remainder when 10 is divided by j(3).
3
Calculate the remainder when 50/(0 + (-2)/(-17)) is divided by 43.
38
Let h = 4 - 2. Let k = 27 + h. What is the remainder when k is divided by 6?
5
What is the remainder when 793 is divided by (-1 + -14)*(948/(-60) + 12)?
52
Suppose 23*i = 25*i - 5*t - 151, -t = i - 72. What is the remainder when i is divided by 11?
7
Let w = -96 + 562. Calculate the remainder when w is divided by 78.
76
Let o(m) = -30*m - 1. Let d = 5 + 2. Let j(y) = y**3 - 8*y**2 + 7*y - 2. Let f be j(d). Calculate the remainder when o(f) is divided by 20.
19
Let r = 249 - 223. Calculate the remainder when 117 is divided by r.
13
Suppose 0*i = -4*o - 2*i - 194, 2*o = -4*i - 106. Let d = -34 - o. What is the remainder when (8*24)/4 + 1 is divided by d?
10
Let j(w) = w**2 - 13*w - 317. Calculate the remainder when 194 is divided by j(27).
11
Let c = 126 - 86. Calculate the remainder when -1 + -7 + (149 - 18/(-1)) is divided by c.
39
Let f(b) = -b*