8 is divided by d.
12
Let j(y) = -11*y**3 + 3*y**2 + 8*y + 4. Calculate the remainder when j(-6) is divided by 18.
10
Let j(u) = u**2 - 5. Let g be j(-3). Suppose -20 = -g*y + 4*v + 120, -5 = v. Let m = -9 - -17. Calculate the remainder when y is divided by m.
6
Suppose 0 = -2*n + 3*j + 285, -9*n - 610 = -13*n - 2*j. Suppose 2*u + 40 - n = -5*b, 0 = b + 3*u - 35. Calculate the remainder when b is divided by 7.
6
Let d be 0*(-2 - (-35)/15). Suppose 2*v = -10, -4*p = p - 5*v - 105. Let q = p + d. Calculate the remainder when 94 is divided by q.
14
Suppose 372*y = 56*y + 116604. What is the remainder when y is divided by 150?
69
Let x = 21859 - 21844. Suppose -4*t + 17 = 5. Suppose -3*b + 186 = t*n, -5*b = 2*n - b - 132. What is the remainder when n is divided by x?
13
Let f(r) = 4*r + 11. Let z be f(-8). Let h = z + 45. Let w(i) = -i**3 - 38*i**2 - 93*i - 662. Calculate the remainder when w(-36) is divided by h.
22
Let v(o) be the second derivative of -o**3 + 47*o**2 - o - 50. Calculate the remainder when 530 is divided by v(11).
26
Let h = 2828 + -2790. What is the remainder when h is divided by 8?
6
Suppose 210 = 6*h - 13*h. Let z = -16 + h. Let w = -9 - z. What is the remainder when 143 is divided by w?
32
Suppose -25 + 89 = 8*q. Let j(v) = v**2 + v - 45. Let w be j(q). Suppose 23*x = w*x - 160. Calculate the remainder when 156 is divided by x.
36
Let g(h) = -2*h**3 + 14*h - 2. Let t be g(4). Let a = t + 207. What is the remainder when a is divided by 45?
43
Let x(l) be the second derivative of -l**4/12 - 5*l**3/3 + 67*l**2/2 - l - 7. What is the remainder when 23 is divided by x(-14)?
1
Let m(y) = 11 - 92*y**2 + 0*y + 93*y**2 + y. Let r = -4 - -4. Calculate the remainder when 43 is divided by m(r).
10
Let x = -1255 - -1836. Let i = x - 511. Calculate the remainder when 206 is divided by i.
66
Suppose -4*f - 3*p + 5*p = -86, -3*f + 47 = -5*p. Suppose -155*x - 12 = -153*x. Let h(q) = 8*q**2 + 31*q - 9. What is the remainder when h(x) is divided by f?
21
Let q(y) = -y**2 - 4*y + 2. Let g be q(-2). Suppose s + g*s - 294 = 0. What is the remainder when 83 is divided by s?
41
Let q be (-1)/(-7) - (-14260)/140. Let p = q + -81. Suppose 59 - 11 = f. Calculate the remainder when f is divided by p.
6
Let p(z) = z**3 - 22*z**2 + 20*z + 40. Let s be 0/2 + 88/8. Let m = s - 1. Calculate the remainder when p(21) is divided by m.
9
Let a(s) = 2*s**2 - 66*s - 358. Calculate the remainder when 252 is divided by a(38).
10
Suppose 4*a - 5064 - 1948 = 0. What is the remainder when a is divided by 15?
13
Suppose 0 = p + 2*a - 595, 0*p = -4*p + 3*a + 2358. Let t = p + -588. Let q(w) = -w**2 + 9*w + 7. What is the remainder when q(7) is divided by t?
0
Suppose 0 = 5*s + 335 + 970. Let r = 329 + s. What is the remainder when 129 is divided by r?
61
Let b = 4294 + -507. What is the remainder when b is divided by 10?
7
Let i = 402 + -235. Let g = 172 - i. What is the remainder when g is divided by 16/6 - 1/(-3)?
2
Let d(j) = -246*j + 846. Calculate the remainder when 359 is divided by d(3).
35
Let n(h) = -57*h + 6059. What is the remainder when 8767 is divided by n(106)?
12
Calculate the remainder when 1256 is divided by ((-3220)/(-200))/7 - (-3)/(-10).
0
Let r(z) = -2*z**3 - 88*z**2 - 91*z - 69. Calculate the remainder when r(-43) is divided by 75.
71
Suppose 4*x + 8 + 0 = 0, 168 = 2*w + 4*x. Calculate the remainder when 789 is divided by w.
85
Let d(l) = 4*l**2 - 11*l - 41. What is the remainder when 322 is divided by d(-5)?
94
Let l = 2417 + -2290. Calculate the remainder when l is divided by 52.
23
Let g = -57 - -69. Suppose -g = -4*y - 4*o, 5*y = 2*o + 3*o + 25. Let u(t) = 3*t - 3. Calculate the remainder when u(4) is divided by y.
1
What is the remainder when (84 - 0) + (17 + -32 - -17) is divided by 29?
28
Let o(a) = 17*a**2 + 416*a - 8 - 2 - 408*a. Calculate the remainder when 568 is divided by o(1).
13
What is the remainder when 4/(-15 - 333307/(-22217)) is divided by 49?
43
Let k = 9000 - 8953. Suppose -204 = -5*r + 496. Calculate the remainder when r is divided by k.
46
Suppose -36 + 0 = -4*i. Suppose 12*g - i*g = 180. Calculate the remainder when 114 is divided by g.
54
Suppose 95*v = -10810 + 10531 + 44644. Suppose 2*j - 7*j + 475 = 5*w, -5*w + 2*j + 468 = 0. What is the remainder when v is divided by w?
91
Let p(m) = -m**2 - 21*m - 18. Let z be p(-9). Let t = -18 - 33. Let q = z + t. What is the remainder when q is divided by 11?
6
Let k = -598 + 611. Let s = 13 - 3. What is the remainder when 70*(s/(-4))/(-5) is divided by k?
9
Suppose -3*x + 36 = -100 + 25. What is the remainder when x is divided by 24?
13
Let h(a) = 4*a - 3. Let l be h(4). Let c(p) = 5*p - 13. Let q be c(l). Suppose -144 = -2*b - q. What is the remainder when 137 is divided by b?
45
Let x(j) = -j**3 + 5*j**2 - 6*j + 11. Calculate the remainder when 6620 is divided by x(3).
9
Let l be (5 - -73 - -2) + -3. Suppose -1267 - l = -24*t. Let i(q) = -3*q - 9. Calculate the remainder when t is divided by i(-8).
11
Let l = 2455 + -2275. What is the remainder when 897 is divided by l?
177
Let a(h) = 9*h**2 + 115*h - 1199. Calculate the remainder when a(14) is divided by 17.
16
Suppose -3*b + 6*b = 0. Suppose 2*m - 5*m + 99 = b. Suppose -8 = 4*c, -5*o = 3*o - c - 786. What is the remainder when o is divided by m?
32
Suppose 0 = -6*f + 5*n + 4574, -14*f + 11*f = 3*n - 2331. What is the remainder when f is divided by 212?
133
Suppose -3*k - 449 = -d, 0 = 8*d + 43*k - 46*k - 3445. What is the remainder when d is divided by 215?
213
Let d be -2*(-5)/(-3 - 2). Let y be (-2 - -2) + d + 76. Suppose h - 2*x = 3*x + y, -220 = -5*h - 5*x. Calculate the remainder when h is divided by 13.
10
Suppose 5*j = -n + 473, 3*n = -47*j + 43*j + 385. What is the remainder when 184 is divided by j?
90
Suppose -4*v + 18 = 2*d, -v = -10*d - 40 - 38. Suppose 0 = -y - q + 13, -2*y = 3*y - 5*q - 75. What is the remainder when y is divided by v?
6
Suppose -565 = -94*g + 4417. Calculate the remainder when 124 is divided by g.
18
Let b = -715 - -718. Let m(w) = 7*w**3 + w**2 - 3. Calculate the remainder when m(b) is divided by 50.
45
Suppose 3*a - 68*x + 73*x - 3889 = 0, 5*x + 2551 = 2*a. Calculate the remainder when a is divided by 640.
8
What is the remainder when 410 is divided by 84/16*(-168)/(-14)?
32
Let u(b) = -b**3 - 5*b**2 - 6*b - 5. Let t(p) = -3*p**3 + p + 39 - 41 + 0*p**2 - 5*p - 2*p**2. Calculate the remainder when t(-2) is divided by u(-4).
1
Let r(i) = -i**3 - 7*i**2 + 6*i + 6. Let z be r(-8). Let l = z - 22. Suppose l = -0*d + 12*d - 588. What is the remainder when 94 is divided by d?
45
Let f(s) = s**3 - 43*s**2 - 49*s + 250. What is the remainder when 9718 is divided by f(44)?
28
Suppose 7*k - h = 8*k - 4, -k + 2 = -h. Suppose 0 = -5*g + 15, 14*g - 93 = -k*y + 15*g. What is the remainder when y is divided by 9?
5
Let h(k) = -k**3 + 4*k**2 - 2*k - 1. Let f be h(2). Let s = 12 + f. Let l(r) = -3*r**2 - 128*r + 1482. What is the remainder when l(-52) is divided by s?
11
Let q be (-46)/(-92) + 2*(-25)/(-4). Suppose -q*c + 9 = -225. Calculate the remainder when 57 is divided by c.
3
Suppose -4*v + 7*v = 30. Suppose 9*q - 1363 + 5998 = 0. What is the remainder when (-8)/(-28) - q/35 is divided by v?
5
Suppose 33594 = 16430*k - 16408*k. Calculate the remainder when 4588 is divided by k.
7
Suppose -9*s + 8*s + 131 = 5*z, -2*z = -3*s - 66. Suppose 10*w = 3*w + 98. Calculate the remainder when z is divided by w.
13
Suppose 174*o - 80*o + 91*o = 13320. Calculate the remainder when o is divided by 24.
0
Let t(n) = n**3 - 16*n**2 + 54*n - 567. Let q = 7 - -68. What is the remainder when t(15) is divided by q/6 - 2/4?
6
Let i = -5215 - -5818. What is the remainder when i is divided by 119?
8
Let m = -6627 + 6649. What is the remainder when 698 is divided by m?
16
Let f(t) = t**3 + 73*t**2 + 142*t + 180. What is the remainder when 3777 is divided by f(-71)?
177
Suppose 198*r - 646 = 780 + 1742. Calculate the remainder when 1662 is divided by r.
14
Let g be -2 + (1 - -537) + 3. Suppose -56*k + 49*k = -g. What is the remainder when k is divided by 29?
19
Let i = 15 + -11. Suppose 0 = 12*f - 10*f - 10. Calculate the remainder when (-2)/1 + f + 96/32 is divided by i.
2
Let w(q) = 0*q + 21 - 5*q + 4 - 110. What is the rema