.
18
Suppose 0 = 10*s - 380 - 600. Let c = s + 3. Calculate the remainder when c is divided by 8.
5
Let v be (-2 + 3 - 2)*0. Suppose v = -5*x - 16 + 41. Suppose -x*t + 68 = -72. What is the remainder when t is divided by 15?
13
Suppose 5*g - 27*f = -29*f + 800, -10*f = 3*g - 524. What is the remainder when 513 is divided by g?
39
Let n(t) = 18*t**3 - t**2 + 2*t - 1. Let r be n(2). Suppose 129 = 4*q - r. Let j = -10383 + 10402. What is the remainder when q is divided by j?
11
Suppose q - 243 = 5*n, -57*q + 9*n = -52*q - 1263. Calculate the remainder when q is divided by 134.
124
Let f(b) = 6*b**2 + 6*b - 5. What is the remainder when (286/22 - 44)*(0 + -1) is divided by f(1)?
3
Let h = -4859 + 6295. Calculate the remainder when h is divided by 30.
26
Let c = -51 + 263. Suppose -6*g + 10*g - c = 0. What is the remainder when 100 is divided by g?
47
What is the remainder when 51/1 + 4*15/20 is divided by (-195)/(-6) + (-7)/(-14) + 4?
17
Let q = 55 + -22. Suppose -10*i = -9*i - q. Calculate the remainder when i is divided by 10/(-1 + 3/2).
13
Suppose -3*q - 21*q + 2599 = -q. Calculate the remainder when 484 is divided by q.
32
Let n be 4 + (-200)/(-12) - 1/(-3). Let r(d) = -d**2 + 36*d - 48. Let y be r(n). Suppose 5*m = 203 + y. What is the remainder when m is divided by 24?
22
Suppose -79*v + 93*v = 4242. What is the remainder when v is divided by 47?
21
Let y be 1998/2 + (4 + -5)*-4. Let g = y + -620. What is the remainder when g is divided by 98?
89
Let m(v) = 2*v**2 + 12*v - 6. Let a be m(-9). What is the remainder when 125 is divided by (a/40)/(2/110)?
59
Suppose 0 = -9*n + 30 + 15. Suppose -4*v = -16, 45 - 237 = -4*x + n*v. What is the remainder when x is divided by 15?
8
Let u(z) = 2*z**2 - 9*z - 11. Let c be u(-17). Suppose -28*g + c = -12*g. What is the remainder when (72/45)/(-1 + (-112)/(-110)) is divided by g?
43
Let y be (-3 + 3 - 0)*-1. Suppose -6*z + z + 30 = y. Calculate the remainder when 31 is divided by z/(-5)*15/6 + 21.
13
Let s(h) = h**3 - 20*h**2 - 3*h + 69. Let k be s(20). Calculate the remainder when 942 is divided by 1418/24 - (0 - k/(-108)).
57
Suppose 0 = 3*q + 2*y - 30, 2*y - 5 + 15 = 2*q. What is the remainder when (1 + 23)*(3/(-9))/(84/(-882)) is divided by q?
4
Let j = 70 - 88. Calculate the remainder when 141 is divided by 26/117 + (-230)/j - 5.
5
Suppose 5*p - 4*g = -0*p + 477, 0 = 3*p + 2*g - 273. Suppose -25*j + 23 + 1152 = 0. What is the remainder when p is divided by j?
46
Suppose 2*s - 2466 = 5*t - t, t - 2431 = -2*s. What is the remainder when s is divided by 85?
29
Calculate the remainder when 81 is divided by 16*(-2)/(-6 + (-16)/(-4)).
1
Calculate the remainder when 2407 is divided by ((-829332)/(-135))/28 - 6/15.
217
Let q(r) = -3*r**2 + 67*r + 120. What is the remainder when 24682 is divided by q(21)?
202
Let t(u) = -94*u**3 + u**2 - 1. Suppose 2*v = -2*x + 38, 428 - 466 = -2*x + v. What is the remainder when t(-1) is divided by x?
18
Let f be (-67990)/(-156) + 2/12. Suppose -5*j - p = -298 - 135, 5*j = -2*p + f. Suppose a = 2*a - 30. What is the remainder when j is divided by a?
26
Suppose -1095*s + 1098*s = 4*z + 3227, 2*s - z = 2163. What is the remainder when s is divided by 16?
13
Let a(f) = 25*f**2 - 346*f - 41. What is the remainder when 27 is divided by a(14)?
12
Let x(b) = 13*b - 7. Calculate the remainder when x(6) is divided by 98/(-21)*3*(-120)/140.
11
Let h(o) = o**3 + 97*o**2 - 2*o - 61. What is the remainder when h(-97) is divided by 10?
3
Let q(k) = 5*k**3 - k**2 - 89*k + 456. Calculate the remainder when q(5) is divided by 28.
23
Let d = -25 - 34. Let a = 75 + d. Calculate the remainder when 12 is divided by (-2)/(a/(-58)) + (-7)/28.
5
Let x = 1102 - 339. Let y = -754 + x. What is the remainder when 70 is divided by y?
7
Suppose z - 32 = -c, 613*c + 2*z = 616*c - 76. Calculate the remainder when 6886 is divided by c.
26
Let q = -794 - -786. Calculate the remainder when 88 + -3 + (-30)/((-40)/q) is divided by 29.
21
Suppose 0 = j + 2*j - 162. Suppose -l + 3*l = j. Suppose 2*i - 4 = 0, 77*i = 4*f + 78*i - 58. What is the remainder when l is divided by f?
13
Let x be (2/(-20)*8)/(4/(-10)). Let i(c) = 21*c**2 - 8*c + 19. Calculate the remainder when i(x) is divided by 18.
15
Suppose 45*k + 44*k = 78*k + 220. Calculate the remainder when 82 is divided by k.
2
Suppose 8103 = -86*m + 172793. Calculate the remainder when m is divided by 68.
11
Let w = -5001 + 5468. Calculate the remainder when w is divided by 91.
12
Suppose -9*l = 9*l - 3348. Suppose -7*v - 39 + l = 0. What is the remainder when 188 is divided by v?
20
Suppose 2*l - 5*z - 134 = 0, -2*l - 4*z = l - 178. What is the remainder when l is divided by 8?
6
Let k = 29946 + -29868. What is the remainder when 1752 is divided by k?
36
Suppose -4608 + 3152 = -56*w. Let h(b) = -2*b**3 - 8*b**2 - 5*b - 2. What is the remainder when h(-5) is divided by w?
21
Suppose -343 = -32*k + 329. Calculate the remainder when 271 is divided by k.
19
Suppose 0 = 2*q - 13*q - 2178. Let b = q - -214. Let m(i) = 3*i**2 + 3*i + 1. Calculate the remainder when m(-5) is divided by b.
13
Let b be ((-189)/(-14) + -1)/((-1)/(-2)). Suppose 405 - b = 20*s. What is the remainder when s is divided by 7?
5
Suppose 4*h - 3*h + 521 = 5*a, 5*h - 5*a + 2625 = 0. Let r(k) = k**3 + 5*k**2 + k - 4. Let g be r(-5). Calculate the remainder when 6/g - h/6 is divided by 30.
27
Suppose 10*r + 379 = 639 + 1150. Calculate the remainder when r is divided by 33.
9
Suppose 8*v + 564 = 12*v. Calculate the remainder when 62 is divided by (-4)/((-24)/v) + 15/(-6).
20
Suppose 37 = -4*j + 93. Let m = 389 - -33. Let d = m - 353. Calculate the remainder when d is divided by j.
13
Let h be (2 - 2)/(0 + (-1 - -2)). Suppose h = -5*f - 5 - 5. What is the remainder when 9/8*f*-12 is divided by 6?
3
Let y(d) = 27*d + 59. Let c be y(-14). Let s = -305 - c. Suppose 1 = 2*q - 7. What is the remainder when s is divided by q?
2
Suppose 19*n + 74*n = 1116. What is the remainder when 177 is divided by n?
9
Suppose 52*l + 828 - 2024 = 0. Suppose 8 = 4*r - 0*r. Suppose -j - r*a + 11 = 2, 6 = -3*a. What is the remainder when l is divided by j?
10
Let h be 63/84 + (-922)/(-8). Let n = 122 - h. Suppose 8 = -n*a + 296. What is the remainder when a is divided by 10?
8
Suppose -10*v + 12*v = 4. Suppose -k - 6 = -v*k. Let z = k + -1. Calculate the remainder when z is divided by 4.
1
Suppose -2758*c + 27885 = 7751 - 12962. What is the remainder when (-2)/8 + 106/8 is divided by c?
1
Let k(h) = 2*h**2 - 18*h - 16. Let p(x) = -x - 1. Let v(g) = k(g) - 10*p(g). Let j be v(5). What is the remainder when (-1)/(-3) + 368/12 + j is divided by 9?
8
Let q be 8/((-1)/30*-5). Suppose 0 = -6*a - 72 + q. Let z(i) = -10*i - 29. Calculate the remainder when 33 is divided by z(a).
0
Let k = 43 - 43. Let b = 24 + k. Suppose 3*v = 3*n - 70 + 217, -4*n + b = v. What is the remainder when v is divided by 24?
20
Let b = -38093 + 38688. Calculate the remainder when b is divided by 27.
1
Let x = -30398 + 88049. What is the remainder when x is divided by 28?
27
Let n(h) be the second derivative of h**5/20 + h**4/2 + h**3/3 - 3*h**2 - h. Calculate the remainder when 4*62*3/(-24)*907/(-907) is divided by n(-5).
4
Suppose 50*a - 48*a = -4*t - 1692, 838 = -2*t + 3*a. Let d = -410 - t. What is the remainder when 50 is divided by d?
2
Suppose 5*t + 3660 = 4*x, 2745 = 3*x - 2*t - t. Let j = -899 + x. Calculate the remainder when 25 is divided by j.
9
Let s(y) = -3*y + 10. Let f(w) = 2*w - 10. Suppose 5*j = -24 + 4. Let q(m) = j*s(m) - 5*f(m). Calculate the remainder when q(3) is divided by 5.
1
Let c be -8 + (-1776)/((-12)/6). Suppose c = t + 39*t. What is the remainder when 64 is divided by t?
20
Let w(j) = 5*j + 23. Let h be w(19). Suppose -213 = 2*v + 5*z, 0*z + z = -v - 105. Let n = v + h. What is the remainder when 38 is divided by n?
10
Let p be (45/25)/((-6)/(-40)). Let q = 53 - p. Suppose -d + 4*x + 23 = 0, 4*d - 41 + 1 = 3*x. Calculate the remainder when q is divided by d.
6
Let n = -97 + 105. Suppose -n = 3*g - 56. What is the remainder when 94 is divided by g?
14
Let l(k) = 361*k - 773. What is the remainder when l(5) is divided by 153?
114
Let m = 220 + -661. Let y = 627 - m. What is the remainder when y is divided by 63?
60
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