= d**3 - d + 2. Let r be u(0). Suppose -94 = -0*j - r*j. Calculate the remainder when j is divided by b.
13
Suppose 3 = -m, -m + 0*m - 6 = -a. Calculate the remainder when (-27)/(8 - 17) + 14 is divided by a.
2
Let s be (-6)/(-3 + 2) + -2. Suppose -44 = -3*b - 5*l, -3*b - s*l + 44 - 1 = 0. Calculate the remainder when 33/(2*(-2)/(28/(-3))) is divided by b.
12
Let m = -369 + 424. Calculate the remainder when 219 is divided by m.
54
Let v(y) = y + 49. Let p be (-1078)/88 + 2/8. Calculate the remainder when v(p) is divided by 14.
9
Suppose -d = -4*z - 58, 4*d + 176 - 453 = z. Suppose -320 + d = -5*w. Calculate the remainder when w is divided by 13.
11
Let k(b) be the second derivative of b**3/3 - 6*b**2 + b. Suppose -20 = -v - 2*d, 4*d + 29 = 5*v - 1. Calculate the remainder when 23 is divided by k(v).
7
Suppose -2*n + 98 = 4*t, t + 4*n - 130 = -4*t. Let x(z) = -z**2 - 10*z - 10. What is the remainder when t is divided by x(-6)?
8
Let c = 27 - 8. Let w(z) = 27*z**3 - z. Let o be w(1). Let a = o + c. Calculate the remainder when a is divided by 24.
21
Suppose 126 = 4*d + 82. Suppose -3*n + 97 = -2*n. Calculate the remainder when n is divided by d.
9
Let o(h) = h + 2. Let n be o(3). Suppose -3*r + 71 = 6*u - 2*u, u - n*r = 12. What is the remainder when u is divided by 2?
1
Suppose -66 = -a - a. Let y = a - 21. Calculate the remainder when (38/12 - 3) + 250/12 is divided by y.
9
Let z = 168 - 135. What is the remainder when 230 is divided by z?
32
Let w = -381 + 482. Calculate the remainder when w is divided by 40.
21
Suppose -134*l + 770 = -120*l. Calculate the remainder when l is divided by 1*(15 + (-2)/2).
13
Suppose 0*p + 3 = p. Suppose -5*b + 3*b + 4*y + 46 = 0, 66 = p*b - 3*y. Let k(i) = 3*i**3 + i**2 - 2*i - 3. Calculate the remainder when k(3) is divided by b.
18
Suppose -296*z + 183 = -293*z. What is the remainder when 303 is divided by z?
59
Let p(u) = u**2 - u - 17. Let v(r) = -r**3 - 3*r**2 + 4*r - 4. Let b be v(-4). Calculate the remainder when 8 is divided by p(b).
2
Suppose -21*i + 339 + 690 = 0. Calculate the remainder when 2300 is divided by i.
46
Calculate the remainder when 68 is divided by (-4 + 2)/((-6)/(-3)) - -9.
4
Suppose -16*n + 3*n + 2548 = 0. What is the remainder when n is divided by 9?
7
Suppose 11*l - 8*l - 1176 = -11*l. Suppose -4*d + 63 = -5*y, 5*d + 0*d = 2*y + 100. Calculate the remainder when l is divided by d.
18
Suppose 39*w + 405 = 48*w. What is the remainder when w is divided by 30?
15
Let g(m) be the first derivative of 7*m**3/3 + 2*m**2 - 5*m - 17. Suppose -2*n + n + 17 = 0. Calculate the remainder when g(2) is divided by n.
14
Let t(r) = -14*r**3 + r**2 + 4*r + 2. Suppose -11*p = -6*p + 5. Calculate the remainder when t(p) is divided by 5.
3
Let x be ((-6)/4)/(1*(-2)/12). Let f = 31 - x. What is the remainder when f is divided by 6?
4
Suppose 4*s - 6 + 51 = k, -2*s = -5*k + 225. What is the remainder when 109 is divided by k?
19
Let m(b) = 23*b + 78. Calculate the remainder when m(8) is divided by 5.
2
Suppose -4*x - x = -3*b + 12, 4*b = 5*x + 16. Let s(c) = 10*c + 2. Let i be s(3). Suppose -i = -4*w - x*w. What is the remainder when w is divided by 6?
2
Let j(t) = -t**2 - 17*t + 12. Let d be j(-13). Suppose d = 2*q + 2*q. Let f = -3 + q. Calculate the remainder when 51 is divided by f.
12
Suppose 2*i - i + 5*k = 43, 157 = 5*i - 4*k. Calculate the remainder when i is divided by (-235)/(-47) - (0 - -8)/(-2).
6
Suppose 0 = 2*t - 0 - 14. Suppose 3*r - 88 = -t. Calculate the remainder when 2*(28 + -1*2) is divided by r.
25
Let t(a) = -2*a**3 + 105*a**2 + 63*a - 128. What is the remainder when t(53) is divided by 23?
11
Let u be 172/(-6) + 18/27. Let b be 3/2*-2 - 52. Let w = u - b. Calculate the remainder when 78 is divided by w.
24
Let o(b) = 9*b + 177. Calculate the remainder when 6/10 - 74/(-10) is divided by o(-19).
2
Let j = -31 + 11. Let w be (4/(-5))/((-4)/j). What is the remainder when (50/w)/(7/(-14)) is divided by 13?
12
Let r = 11723 + -11709. Suppose -6 = -3*n + 9. Calculate the remainder when r is divided by n.
4
Let m(k) = 5*k**2 + 2*k + 1. Let p(g) = 2*g**2 - 3*g + 11. Calculate the remainder when p(5) is divided by m(-2).
12
Let q(k) = -k**3 + 20*k**2 - 18*k - 5. What is the remainder when 37 is divided by q(19)?
9
Suppose -2*u = -3*u + 70. Let r(a) = -2*a + 20. Let c be r(9). Let o = 20 - c. What is the remainder when u is divided by o?
16
Let m(t) = 4*t**2 + 2*t + 4. Suppose 3*l + x - 5*x = -34, l - 2 = -2*x. Let q(i) = -2*i**2 - 18*i - 24. What is the remainder when m(3) is divided by q(l)?
10
Let i(m) = m**3 - 15*m**2 + 11. Let x(w) = w**3 - 5*w**2 - 2*w + 6. Let p be x(5). Let q = p + 10. What is the remainder when i(15) is divided by q?
5
Let g(i) = 4*i + 18. Let m be g(-3). Suppose 0 = -2*u - m*q + 4*q + 54, -4*u = -2*q - 132. What is the remainder when 92 is divided by u?
30
Suppose -d + 7 = -120. Suppose 5*t - d = -b + 100, 96 = 2*t + 3*b. Let j = -53 + 65. What is the remainder when t is divided by j?
9
Suppose -a + 149 = 5*k, -5*k - 4 = 6. Calculate the remainder when a is divided by 41.
36
Let g = 1021 + -362. What is the remainder when g is divided by 44?
43
Let t = 1914 + -1848. Calculate the remainder when 256 is divided by t.
58
Let k = 99 - 66. What is the remainder when 95 is divided by k?
29
Let u(o) = -o**3 - 14*o**2 + 13*o - 17. Let x(q) be the first derivative of -q**2/2 + 11*q - 3. What is the remainder when u(-15) is divided by x(6)?
3
Let d = 552 + -378. What is the remainder when d is divided by 22?
20
Suppose -18*b + 46 + 26 = 0. Calculate the remainder when 38 is divided by b.
2
Suppose -x + 267 = 4*b, 91 = b - 2*x + 22. Let w = b + -41. What is the remainder when w is divided by 10?
6
Let p(l) = -2*l + 169. What is the remainder when p(-27) is divided by 76?
71
Suppose -2*m + 33 = 5. Suppose 50 = i + m. Let d = -415 - -428. What is the remainder when i is divided by d?
10
Let m = 563 + -466. Calculate the remainder when m is divided by 38.
21
Let k(p) = -2 + 6*p - 5*p - 2*p. Let y be k(-2). What is the remainder when 42 is divided by (19 - y) + 23 + -27?
12
Suppose f = -4*f + 10. Suppose 0 = -3*y + f + 16. Suppose y*c = 30 - 0. What is the remainder when c is divided by 2?
1
Let m(d) = -d**2 + 16*d - 8. Let o be m(6). Suppose -o = -3*k + k. Calculate the remainder when k is divided by 4/(-2) - (-13 + 1).
6
Let n(y) = y + 92. Let m be n(0). Let u = m - 78. Calculate the remainder when 54 is divided by u.
12
Let i(f) = -f**3 - 10*f**2 - 11*f - 8. Let d be i(-8). Let k = -16 - d. Let x = 11 + 84. Calculate the remainder when x is divided by k.
31
Suppose g + 3*z + 20 = 2*g, 28 = 5*g + 3*z. Suppose -3*r = 2 - g. What is the remainder when r is divided by 2?
0
Let x(z) = z**2 + 5*z - 4. Let m be x(-6). Suppose m*q - 11 = 4*b + b, -2*b - 11 = -3*q. Calculate the remainder when q is divided by (-2)/(-6) - (-40)/24.
1
Let i = 365 - 243. What is the remainder when i is divided by 18?
14
Suppose -2*h + 5*d = -6, -4 = -2*h + 3*d + 2. Calculate the remainder when h/(-1) + 8 + 23 is divided by 4/10 - (-144)/15.
8
Let s = -10 + 12. Let g(r) = -r - 1. Let p(t) = 12*t + 5. Let z(d) = 3*g(d) + p(d). What is the remainder when 58 is divided by z(s)?
18
Suppose 4*i - 98 = -a, a - 3*i + 0 = 77. Let n = 110 - a. What is the remainder when 166 is divided by n?
22
Let a = -54 + 99. Let g(c) = -463*c + 5688. What is the remainder when g(12) is divided by a?
42
Suppose 5*a - 8*a = 2*x - 1587, -4*a = -3*x + 2355. What is the remainder when x is divided by 79?
78
Let r(c) = -62*c. Suppose -4*j + 12*j + 32*j = 680. What is the remainder when r(-1) is divided by j?
11
What is the remainder when (-30)/(-4)*972/270 is divided by -2*(2 + (-2 - 4))?
3
Let d(f) = f**3 + 15*f**2 + 18*f - 2. Let m be d(-13). Let o = -89 + m. Calculate the remainder when 24 is divided by o.
11
Let r be (6*-6)/2*16/(-24). Suppose 6 + 18 = r*h. Calculate the remainder when h is divided by 1.
0
Let p(h) = 5*h + 3. Let m be p(0). Suppose -13 - 125 = -m*y. What is the remainder when y is divided by 16?
14
Let w = 0 + 19. Let c = -107 - -10. Let l = -23 - c. Calculate the remainder when l is divided by w.
17
Let i be 6/(-24) + (-377)/(-4). Let p = 24 - i. Let f = -29 - p. What is the remainder when f is divided by 11?
8
