r when 23 is divided by r.
4
Let o = -1802 - -1839. What is the remainder when 134 is divided by o?
23
Let j(h) = 22*h**2 - 77*h + 12. What is the remainder when 167 is divided by j(4)?
55
Suppose -v + 3*v + 2 = 0. What is the remainder when v - (-3 - -57)/(-3) is divided by 9?
8
Suppose -7*k + 3*k - 97 = -5*d, -d + 13 = -4*k. Let q = 39 - d. Calculate the remainder when 88 is divided by q.
16
Let c = 219 + -205. What is the remainder when 16 is divided by c?
2
Let o(z) = -28 + 2*z - 24*z**2 - 27*z**2 + 52*z**2. What is the remainder when o(7) is divided by 9?
8
Suppose 28 = -4*u + 176. Suppose -3*b + 77 = -u. Suppose -2*f + 50 = 5*r, 0*r - 3*r - f + 30 = 0. Calculate the remainder when b is divided by r.
8
Let v(g) = 4*g**2 - 8*g - 6. What is the remainder when v(5) is divided by 11?
10
Let s(w) = 13*w**2 + 103*w - 611. What is the remainder when s(6) is divided by 122?
109
Suppose -5*c + 0*c = 15, 0 = -4*j + 2*c + 346. Suppose -7*w + j = -62. What is the remainder when w is divided by 3?
0
Suppose c = -2*c + 4*f - 5, 5*c + 2*f - 35 = 0. What is the remainder when 68 is divided by c?
3
Suppose -3*o = -4*i + 15, -5*i - 2*o + 12 = -24. Let q(r) = r**2 - 4*r - 4. What is the remainder when 65/3 - 4/6 is divided by q(i)?
5
Let a(n) be the third derivative of n**5/20 - n**4/24 - 2*n**3/3 + n**2 - 6. What is the remainder when 20 is divided by a(2)?
2
Let d(a) = 5*a**2 + 40*a - 8. What is the remainder when d(-11) is divided by 83?
74
Let w(p) = -16*p - 47. Suppose -3*r - 16 = -v - 3, 0 = -3*r + 3*v - 9. Let k = -20 - -38. Calculate the remainder when w(r) is divided by k.
15
Suppose 4*v - 3*n = 16 + 14, -3*v + 3*n + 24 = 0. Suppose -121 = -9*c - 40. What is the remainder when c is divided by (-4)/v + 11/3?
0
Suppose 5*w - 1125 = -3*v + 2*w, v + 4*w - 390 = 0. Calculate the remainder when v is divided by 22.
18
Calculate the remainder when 597 is divided by 1048/14 - (-70)/490.
72
Suppose 3*y - 44 = -y. Let h(r) = 10*r + 13. Let j = -16 - -19. What is the remainder when h(j) is divided by y?
10
Let g = -81 + 268. Calculate the remainder when g is divided by 38.
35
Suppose -5*u - p = -2*u + 421, -u - p = 141. Let o = -96 - u. Let n = o - 23. What is the remainder when n is divided by 6?
3
Let l = 161 - 148. What is the remainder when 76 is divided by l?
11
Let u(y) = -3*y**3 - 6*y**2 + y - 8. Let b(k) = 13*k**3 + 25*k**2 - 5*k + 33. Let x(o) = -2*b(o) - 9*u(o). What is the remainder when 32 is divided by x(-3)?
8
Let y(d) = d**3 + 17*d**2 - 21*d - 1. Calculate the remainder when y(-18) is divided by 14.
11
Let l(i) = 14*i**2 - 15*i - 16. Calculate the remainder when 33 is divided by l(-1).
7
Let x be (-18)/5*(0 - 15/6). Suppose -x*a + 90 = -3*a. Let p = -7 + 16. What is the remainder when a is divided by p?
6
Suppose -5*o - 5*r + 2 = 12, -4*r - 24 = -4*o. Suppose 5*k = o*k + 147. Let i = k - 18. Calculate the remainder when 121 is divided by i.
28
Suppose -2*g = -r + 263, 1306 = 3*r + 2*r - g. What is the remainder when r is divided by 11?
8
Let w(c) = 12*c + 72. Calculate the remainder when w(0) is divided by 55.
17
Calculate the remainder when 245 is divided by -2 - (-1)/((-5)/(-165)).
28
Let j = -48 - -59. Suppose 6*t - 38 = 4*t. What is the remainder when t is divided by j?
8
Suppose 10*k - w + 480 = 15*k, 3*k = 4*w + 311. What is the remainder when k is divided by 4?
1
What is the remainder when 52 is divided by (0 + 14/(-35))*(2 - 47)?
16
Suppose -5 = -v - 4, 0 = -5*k - 5*v + 75. What is the remainder when 40 is divided by k?
12
Suppose -2*m = -4*m + 38. Let c = m + -18. Let x(n) = 2*n + 1. Calculate the remainder when x(c) is divided by 3.
0
Let q(l) = l**3 - 16*l**2 - 9*l - 30. Let r be q(17). Let y = -55 + r. What is the remainder when 203 is divided by y?
50
Let o(b) be the second derivative of -b**5/20 - 3*b**4/2 - 17*b**3/6 + 8*b**2 - 38*b. What is the remainder when o(-17) is divided by 4?
0
Let t(n) = -25 - 5*n - 21*n + 2*n. Calculate the remainder when 232 is divided by t(-3).
44
Let b(q) = q**3 - 2*q**2 - 9*q - 59. Let a be b(0). Suppose -2*v = v + 273. Let p = a - v. Calculate the remainder when p is divided by 12.
8
Let b(s) = 11*s + 1. Suppose -5 = -5*q, -2*q + 4 = -o + 3*q. Calculate the remainder when 21 is divided by b(o).
9
Let c(x) be the third derivative of -x**5/60 - x**4/2 + 7*x**3/2 + 15*x**2. Calculate the remainder when 39 is divided by c(-13).
7
Let d be 4 + (9/3 - 2). Suppose -283 = -d*w + 57. Let p(y) = -y + 18. Calculate the remainder when w is divided by p(0).
14
Suppose k = 4*i - 78, 0*i + 4*k = -2*i + 30. What is the remainder when (-162)/(-4)*44/33 is divided by i?
16
Let u = 26 - 18. Let t(k) = -k**3 + 24*k**2 - 21*k - 17. Calculate the remainder when t(23) is divided by u.
5
Suppose 10*v - 6917 = -2257. Calculate the remainder when v is divided by 26.
24
Let n(k) = -k**3 - 21*k**2 - 17*k + 61. What is the remainder when n(-21) is divided by 84?
82
Let a(n) = 21*n - 77. What is the remainder when 191 is divided by a(6)?
44
Suppose 2*u - 13*u = -22. Suppose 0 = -3*v - 3*n + 75, u*v + 3*n + 40 = 4*v. Calculate the remainder when v is divided by 8.
7
Let g be (2/4)/((-1)/6*-1). Suppose 4*k - g*s - 41 = 8, -31 = -4*k - 3*s. What is the remainder when 29 is divided by k?
9
Suppose -5*t + 47 = -m, 0*t + 4*t - 32 = -2*m. What is the remainder when 35 is divided by t?
8
Let y = 86 - 53. What is the remainder when y is divided by 18?
15
Suppose 2*d - 55 = 11. Let c(g) = 7*g - 1. What is the remainder when d is divided by c(2)?
7
Let p(j) = 2*j + 1. Let g be p(4). Suppose 2*f - 8 = -3*y, -3*y + 5 = -7. Let c = g + f. What is the remainder when 18 is divided by c?
4
Let p(k) = 4*k - 5. Let g(m) = m**3 + 10*m**2 + 4. What is the remainder when p(5) is divided by g(-10)?
3
Let q(j) = -52*j**2 + 2*j + 32*j**2 + 27*j**2. Calculate the remainder when q(-2) is divided by 13.
11
Suppose -11*m = -2*a - 9*m + 48, 3*a - 2*m = 67. What is the remainder when 68 is divided by a?
11
Suppose -466 = 5*s - 66. Let f = -59 - s. What is the remainder when 82 is divided by f?
19
Suppose 3*n - 2550 = 5*w, -8*n = -3*n - 3*w - 4234. Calculate the remainder when n is divided by 9.
8
Let y = 2021 + -2000. What is the remainder when 755 is divided by y?
20
Calculate the remainder when ((-470)/(-40))/(45/(-24) - -2) is divided by 9.
4
Let c(p) = p. Let x be c(2). Suppose 6*g - 12 = x*g. Suppose g*m = -2*d + 182, 63 = -0*m + m + 3*d. Calculate the remainder when m is divided by 32.
28
Suppose 5*a - 157 = 4*g, -5*g = 4*a - 7*a + 89. Let k(t) = t + 7. What is the remainder when a is divided by k(5)?
9
Let v = 8 - 1. Suppose -4*b - 123 = -v*b. Let x = b + -10. Calculate the remainder when x is divided by 11.
9
Suppose -2053 = -29*q - 23. Calculate the remainder when q is divided by 32.
6
Let d be (4 + 32/(-6))*(-6)/4. Suppose -d*y + 11 = -3*y + 5*j, 0 = -5*y - 5*j + 95. Calculate the remainder when y is divided by 7.
0
Suppose 0 = 5*t + 4*i + 20, -t + 6*t + 15 = -3*i. Suppose t = h + 51 - 77. Let w(b) = b**2 - 3*b - 4. Calculate the remainder when h is divided by w(-3).
12
Let s be 2/(-14) - 136/28. Suppose 3*w + 5*w - 96 = 0. Let r = w + s. Calculate the remainder when 17 is divided by r.
3
Let c be (-502)/(-8) - 9/(-36) - 2. Suppose 0*u = 2*u - 16. Let y = u + c. Calculate the remainder when y is divided by 36.
33
Suppose -4*f + 83 = t, f + 4*t + 11 - 13 = 0. Calculate the remainder when 226 is divided by f.
6
Suppose 4*a = 35 - 3. What is the remainder when 1/1*(-6650)/(-175) is divided by a?
6
Let c(f) be the first derivative of 2*f**2 - f - 12. Let m = 69 - 48. What is the remainder when m is divided by c(3)?
10
Let p = 2 - -36. Suppose -39 = -4*d + 41. What is the remainder when p is divided by d?
18
Let t = -774 - -911. What is the remainder when 533 is divided by t?
122
Suppose -1330 = 10*i + 9*i. What is the remainder when 73 is divided by (760/i)/((-4)/14)?
35
Let u(p) = 3*p**2 - 17*p + 25. Calculate the remainder when 53 is divided by u(5).
8
Let v = -846 + 882. Calculate the remainder when 85 is divided by v.
13
Let f = 26 - 8. Let s = 6 + -4. Suppose -s*a = a - f. What is the remainder when 10 is divided by a?
4
Let p = -6 - -17. Suppose -b = -2*s + 1, 0*b - p = -s - 3*b. Let u(c) = -2*c**2 + 16*c - 21. Calculate the remainder when u(