0, 5 = -k - m + 25. Calculate the remainder when u is divided by k.
12
Let n = -576 - -634. Calculate the remainder when n is divided by 9.
4
Suppose -k = -2*k + 5*u + 11, 0 = -2*u. Let s = k + 0. What is the remainder when 21 is divided by s?
10
Let h = -7 + -1. Suppose -97*f + 28 = -93*f. Calculate the remainder when h/5*(-50)/4 is divided by f.
6
Suppose 0 = -4*q + 12*q - 64. Suppose 3*c - o = 31 + 14, -2*o = c - q. What is the remainder when 41 is divided by c?
13
Suppose 5*d - 67 - 53 = 0. Suppose 4*y + 8 - d = 0. What is the remainder when 13 is divided by y?
1
Let g(v) = v**2 + 5*v + 5. Let f be g(-5). Suppose -f*w + 3*w = -40. What is the remainder when 87/((-12)/(-16)*2) is divided by w?
18
Let o be -1*(1 + -1 + -3). Suppose o*z = z + 2. Let v(h) = 6*h + 2. Calculate the remainder when 30 is divided by v(z).
6
Suppose -c = 5*p - 125, -4*p + 91 = -3*c + 2*c. Suppose 3*u + l = p, 4*l = 5*u + l - 40. Calculate the remainder when 9 is divided by u.
1
Suppose -4*o + 217 = 3*s - 6*s, -o + 68 = 2*s. Let f be (-2)/5 + 134/10. Suppose 5*a = 87 + f. Calculate the remainder when o is divided by a.
18
Suppose -4*d - 32 = 3*r, -4*d = 3*r - 9*d - 13. Let g = r - 17. Let t = 26 + g. Calculate the remainder when t is divided by 5.
0
Suppose 0 = -4*f + 6*n + 270, 4*n = -17 + 5. What is the remainder when 119 is divided by f?
56
Suppose 186 = 21*z - 66. Calculate the remainder when (53/(-4) - -2)*-4 is divided by z.
9
Suppose -7*q = 5*r - 480, 0 = -13*q + 10*q - 5*r + 220. Calculate the remainder when 189 is divided by q.
59
Suppose 0*x - 4*x + 124 = 0. Let c be 2/(0 + 4/(-56)). Calculate the remainder when x is divided by (-69)/(-4) - (-7)/c.
14
Suppose -5*f + 5*n = -60, -5*f - 2*n - 12 = -65. Suppose 403 - 123 = 7*k. Calculate the remainder when k is divided by f.
7
Suppose 2*j + 2*j + 2*m - 194 = 0, 4*j - 219 = 3*m. Let f be 0/((-4)/((-7)/(14/(-4)))). Suppose f*d + d - 13 = 0. What is the remainder when j is divided by d?
12
Let b(t) be the first derivative of 6*t**2 - 17*t + 4. Calculate the remainder when b(8) is divided by 27.
25
Suppose -15 = -19*t + 14*t. Let r(d) = d**2 + d + 1. What is the remainder when 2*(18 - -1) + -1 is divided by r(t)?
11
Suppose 3*l + 132 = 378. What is the remainder when l is divided by 21/2*(4 - 2)?
19
Let y be (-1)/(2*(21/(-24))/7). Suppose y*c - 5*c + 81 = 0. Calculate the remainder when c is divided by 12.
9
Suppose -4*z - 2 = 2*x, -2*z - 4*x = -7*z + 17. Let y = 112 + -112. Suppose 10*l - 4 - 6 = y. What is the remainder when l is divided by z?
0
Suppose 4*v + o + 128 = 0, -5*v + 3*v - 3*o = 64. Let g = v + 49. What is the remainder when 32 is divided by g?
15
Let o be -14*((-2)/(-10))/((-4)/10). Suppose o*b - 102 = b. Calculate the remainder when 83 is divided by b.
15
Let p = 457 - 131. Let k = -219 + p. Calculate the remainder when k is divided by 22.
19
Let p = -429 - -432. What is the remainder when p is divided by 3?
0
Suppose 5*m - 2*m - 29 = -5*h, 4*m = 2*h + 56. Suppose 0 = 2*x - 4*d - 14, -4*x + d + m = -15. What is the remainder when 111/6 - (-2)/4 is divided by x?
5
Suppose 8 = 3*v - 3*k - 28, 0 = 3*v + 3*k - 24. Suppose -s + 55 - 18 = 0. Calculate the remainder when s is divided by v.
7
What is the remainder when (-148)/2294 - 3228/(-62) is divided by 11?
8
Let t(r) = 2*r**2 - 3*r + 1. Let j = -32 - -36. Suppose 8*d = j*d - 3*z + 62, -2*d + 36 = 4*z. Calculate the remainder when t(6) is divided by d.
13
Suppose 3*d = 4*v + 9, -d + 3 = -4*v - 0*v. Let o be (13 + (-2 - v))*-1. Let a(c) = c**2 + 10*c + 6. What is the remainder when a(o) is divided by 6?
5
Suppose 0 = -134*g + 133*g + 439. Calculate the remainder when g is divided by 22.
21
Suppose 0 = -4*j + 19 - 11. What is the remainder when 2 is divided by j?
0
Suppose 0 = 5*f - 5*o, 0 = -2*f - 5*o - 9 - 12. Let q = 1 - f. Calculate the remainder when -4 - -2*(-3)/(84/(-161))*2 is divided by q.
3
Suppose k + 9 = -4*v, -3*k + k - 4*v = 10. Suppose 3*u = -i + 36 - 15, 5*u = -3*i + 39. What is the remainder when (-6)/(-3)*k - -12 is divided by u?
4
Suppose -5*r - 507 - 468 = -4*l, 1212 = 5*l - 4*r. Suppose 6*c = 10*c - l. Suppose -v = 4*v - c. What is the remainder when 34 is divided by v?
10
Suppose -i - 4*b + 22 = 0, i - 6*i + 4*b = 10. Suppose i*p - 47 = 23. What is the remainder when p is divided by 12?
11
Let s be (2/(-6))/(8/(-288)*6). Suppose 0 = -3*b + 2*y + 12, 4*b = 3*y - 0*y + 17. Suppose -s*q - b = -8. Calculate the remainder when 4 is divided by q.
1
Suppose 36*j + 52 - 556 = 0. Calculate the remainder when 543 is divided by j.
11
Suppose 0 = -3*b + j + 4136, b + 5512 = 5*b - 2*j. Let u = b - 95. What is the remainder when 3/(-12) + u/20 is divided by 17?
13
Suppose 195*m - 191 = 193*m - a, 0 = -3*m + 4*a + 270. Suppose 0 = -5*f + 89 + 6. What is the remainder when m is divided by f?
18
Let k(l) = 18*l - 41. Calculate the remainder when 62 is divided by k(3).
10
Suppose -4*y + 728 = 2*g - 4, 3*y + 3*g = 543. What is the remainder when y is divided by 51?
32
Let o be (0 - (2 + 1)) + 7. Suppose 0 = o*w - 3*w - 20. Suppose a - w = 10. What is the remainder when a is divided by 8?
6
Suppose 0 = -3*p - 3*v - 3, 0 = -4*p + 4*v + 27 + 9. Suppose k - 2*k = -p. Calculate the remainder when 15 is divided by k.
3
Suppose -17*n = 370 - 5487. Calculate the remainder when n is divided by 8.
5
Suppose -4*g - 5*x = -178, g - x = 2*g - 45. Let b = 8 + -2. Suppose -2*c - 3*z = -44, -4*c + 48 = 2*z - b*z. What is the remainder when g is divided by c?
15
Let d = 5 + 41. Let g(j) = j**2 + 6*j - 5. Let w be g(-7). Suppose 4*y = -3*z + 68, z + w*z + 2*y = 70. What is the remainder when d is divided by z?
22
Let b(g) = 3 - 8 + 2*g - 4*g. Let q = -6 - 2. What is the remainder when 30 is divided by b(q)?
8
Suppose -4*k + m + 4*m = -40, -4*k - 4*m = -76. Suppose -6*y + 131 = -301. Calculate the remainder when y is divided by k.
12
Suppose -n = -4*n - 12. Let c(w) = 11*w**3 + w**2 - w. What is the remainder when c(1) is divided by (n/(-2) - 3) + 6?
1
Let d(t) = 7*t**2 + 7*t. Let o(j) = -11*j**2 - 11*j. Let n(u) = 8*d(u) + 5*o(u). Let q(c) = -5*c - 6. What is the remainder when q(-9) is divided by n(-5)?
19
Let q(o) = o**2 + 6*o + 7. Let b(k) be the first derivative of k**3/3 - 3*k**2 - 8*k - 2. Let a be b(6). Calculate the remainder when q(a) is divided by 13.
10
Let x(c) = c**2 + 6*c. Let z(l) = -l**2 - 4*l. Let i be z(-3). Calculate the remainder when x(i) is divided by 10.
7
Let f(i) = 8 + 3*i + i + 2*i - 2*i. Let z be f(11). Suppose g = 5*g - z. What is the remainder when g is divided by 5?
3
Let f be (0 - 502)*(-2)/4. Let z = -179 + f. Let t(u) = 4*u**2 - 1. What is the remainder when z is divided by t(2)?
12
Suppose -4*h = -43 - 49. Suppose 4*g + 3*g = 0. What is the remainder when h is divided by 1 + (-44)/(g - 4)?
11
Let q(h) = -30*h - 10. What is the remainder when q(-1) is divided by 2/(-3) + 51/9?
0
Let t = 186 - 167. What is the remainder when t is divided by 15?
4
Suppose 13*n = -18*n + 10261. Calculate the remainder when n is divided by 28.
23
Suppose -3*z = 3*j - 1560, 2*z - 1558 = -z - 4*j. Calculate the remainder when 143 is divided by ((-2)/6)/((-6)/z).
27
Let h(w) = -w**3 - 2*w**2 + 3*w + 3. Let i(p) = -p + 6. Let u be i(9). Let x be h(u). Suppose -x*c + 60 = -27. What is the remainder when c is divided by 10?
9
Calculate the remainder when 108 is divided by (58/5)/((-10)/(-25)).
21
What is the remainder when (4/20)/(44312/(-22160) + 2) is divided by 20?
14
What is the remainder when (-6)/(-16) - (-415854)/816 is divided by 27?
24
Let r(c) = 7*c - 1. Suppose -3*k - 4*y - 10 = 3, -3 = 5*k + 2*y. Calculate the remainder when r(k) is divided by 1.
0
Calculate the remainder when 179 is divided by 4/(-64) - (-1356)/192.
4
Let n be 1/1 - (7 - 8). Suppose -n*v + 10 = -v. What is the remainder when 18 is divided by v?
8
Let x(p) = -15*p - 358. Calculate the remainder when x(-26) is divided by 11*(1 + 0/(-1)).
10
Suppose 3*m = -2*m + 15. Suppose -m*i + 292 = i. Suppose -4*d = -l - 96, 2*d + 35*l - 36*l = 46. What is the remainder when i is divided by d?
23
Let a(u) = u**3 + 4*u**2 - 2*u + 3. Let h be a(-6). Let k = -40 - h. What is the remainder when 46 is divided by k?
12
Let a(v) = -12*v + 7. Calculate the remainder when a(-4) is divided by 19.
17
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