r when 6/d - (-60)/8 is divided by 4.
2
Suppose 10*u + 80 = 14*u - 3*f, 2*f + 42 = 2*u. What is the remainder when 29 is divided by u?
12
Let f(q) = q**2 - 5*q - 3. Suppose -3*y + 6 = -5*y. Calculate the remainder when 61 is divided by f(y).
19
Let q(x) = x + 8. Let z be q(7). Let i be (-5)/z + (-19)/(-3). Suppose 0 = 4*s + i - 46. What is the remainder when s is divided by 4?
2
Let w be (-2 + 1)/((-1)/5). Let d = w - 1. Let s = -22 - -32. What is the remainder when s is divided by d?
2
What is the remainder when 27 is divided by (-4)/((-12)/27) - (0 - -4)?
2
Let w(k) = 4*k. Let t be w(-7). Suppose -n - 115 = -3*y + n, -4*y - 3*n = -176. Calculate the remainder when y is divided by 28/((-7)/(t/8)).
13
Suppose 2*y = -5*l + 21, 0 = -3*y + y + 2*l. Suppose -4*q = y*f + 24, -3*f + f = -3*q - 1. Calculate the remainder when 22 is divided by 4 + -1 + (2 - q).
6
Let q = 291 - 156. Let o = -94 + q. Calculate the remainder when o is divided by 15.
11
Let l(a) = -2*a**3 - a**2 + a + 256. Calculate the remainder when l(0) is divided by 43.
41
What is the remainder when 85 is divided by 55/(-2)*4/(-5)?
19
Suppose 22*m - 17*m = 305. What is the remainder when m is divided by 17?
10
What is the remainder when 0/2 + 0 + 70 is divided by 18?
16
What is the remainder when (0 - -2) + 1 + 4 is divided by 5?
2
Suppose 4*w - 128 = -36. What is the remainder when w is divided by 13?
10
Let k(z) = -3*z - 4 - 5*z + 4*z. Let g be (5/3)/((-1)/3). Calculate the remainder when k(g) is divided by 9.
7
What is the remainder when 63 is divided by 0 + -2 + 3 + 32?
30
Let s be (4/1)/(6/12). Suppose -2*x + s = -x. What is the remainder when x is divided by 2/3 - (-26)/6?
3
Let y = 13 - -2. Suppose -2*z - 212 = -4*k, 6*z + 406 = 2*z - k. Let u = -58 - z. What is the remainder when u is divided by y?
14
Let k = 3 + -6. Let d be (k + 1 - -1) + 23. Suppose d = 3*u - u. Calculate the remainder when 21 is divided by u.
10
Let h(x) = x**3 - 4*x**2 - 2. What is the remainder when h(6) is divided by 12?
10
Let o = 0 + 22. Let a be -1*-1*6/3. Suppose -3*g + 14 = 5*s, 42 = 5*g - a*s + s. What is the remainder when o is divided by g?
6
Calculate the remainder when 81 + -3 + (-4 - -5) is divided by 8.
7
What is the remainder when 8 is divided by 6 + (1 - 0) + -4?
2
Let f = -32 - -49. What is the remainder when f is divided by (-2)/4*(-4 - -112)/(-9)?
5
Let r(h) = 4*h - 20. Calculate the remainder when 58 is divided by r(9).
10
Let l(g) = -2*g - 3 + 0*g + 3*g + g**2. Calculate the remainder when l(4) is divided by 5.
2
Suppose 31 = -3*z + 82. What is the remainder when 30 is divided by z?
13
Let c(n) = n**2 - 3*n + 5. Suppose -56 = 4*v - 8*v. Suppose 10 = 2*r - v. Calculate the remainder when c(6) is divided by r.
11
Let k be 66/11*(-2)/(-3). Suppose -2*n - n = -h + 14, 6 = -5*h - k*n. Calculate the remainder when 6 is divided by h.
0
Let c = 12 + -10. What is the remainder when 21 is divided by 18/(-24)*(-18 + c)?
9
Let g(p) = 3*p**2 - 4*p + 3. Let y be g(2). Suppose -y = -4*k + 3*k. Calculate the remainder when 27 is divided by k.
6
Let d(n) = n**3 - 12*n**2 - 9*n - 10. Calculate the remainder when d(13) is divided by 15.
12
Let d(y) = y**2 + 10*y - 13. Let h be d(-10). Let r = 18 + h. What is the remainder when 12 is divided by r?
2
Let g(q) = 4*q - 2*q - 5*q - 1 + 12*q**2. Let b = -9 + 27. Calculate the remainder when g(-2) is divided by b.
17
Suppose -4*t + 5 = t. Let y be t*-2 - 13*-1. Let k = y + -8. Calculate the remainder when 5 is divided by k.
2
What is the remainder when 54 is divided by ((-6)/(-9))/((-1)/(-30))?
14
Let o = -70 + 92. Suppose -4*p = w - 60, 5*p + 69 = -w + 2*w. Calculate the remainder when w is divided by o.
20
Suppose -4*b + 16 = 0, 3*q - 4*q + 4*b = 17. What is the remainder when 2/7 - 117/(-7) is divided by (-16)/(-2) + (-1)/q?
8
Let h(c) = -c**3 - c**2 - c - 2. Let v be h(-2). Suppose 0*k + 108 = v*k. Let z = k - 5. What is the remainder when z is divided by 12?
10
What is the remainder when 21 is divided by 48/60 - 26/(-5)?
3
Suppose -3*o - 3*v = -12, -4*v - 2 - 6 = -4*o. What is the remainder when 4 is divided by o?
1
Suppose -5*z + 40 = 5*w, 4*w + z = 3*z + 2. Suppose w*x - 2*r = 29 + 6, -3*r = 3. What is the remainder when 2*(-1)/(-2)*31 is divided by x?
9
Suppose 5 = -3*y + 2*u + 20, -3*y + 4*u + 15 = 0. Suppose 0*k - k + 13 = -d, -4*k + 56 = -y*d. What is the remainder when 34 is divided by k?
7
Let z(y) = -y**3 - 3*y**2 + 2*y - 4. Let g be z(-5). Calculate the remainder when 77 is divided by (-152)/(-6) - (-24)/g.
25
Suppose -3*x - 1 = -7. Let s(t) = 2*t**x - t**2 + 2*t + t - 3. What is the remainder when s(4) is divided by 13?
12
Let m(x) = -3*x**2 + 3*x - 3. Let k be m(3). Let s = -11 - k. What is the remainder when 19 is divided by s?
9
Suppose -5 = -0*c - c. Suppose -d + 4 = 2. Suppose -2*r - d*r + 79 = c*m, -2*m = -2*r + 62. What is the remainder when r is divided by 9?
8
Let t = 28 + -10. Calculate the remainder when 10 is divided by t/3 - (3 + 0).
1
Let h(f) = 1. Let l(a) = 3*a + 10. Let o(n) = 6*h(n) - l(n). Calculate the remainder when 32 is divided by o(-7).
15
What is the remainder when ((-18)/(-10))/((-9)/(-495)) is divided by 34?
31
Suppose 122 = 3*w - 2*u, 3*w - 5*w = 2*u - 98. What is the remainder when w is divided by 24?
20
Suppose -4 = 5*h - s - 29, -h - 4*s + 26 = 0. Let r(y) = -y**2 + 9*y - 3. Let u be r(6). Calculate the remainder when 24 is divided by (-5)/(u/h) + 15.
11
Let q = 0 + 4. Let x be 3/6*-2 + q. Suppose 56 = r + x*r. Calculate the remainder when r is divided by 8.
6
Let w be 1/5 + 9/5. Suppose y + 40 = 3*y - 2*j, -y - w*j + 8 = 0. Calculate the remainder when 30 is divided by y.
14
Let b be (25/10)/((-2)/4). Let i(p) = -11*p - 12. Calculate the remainder when i(b) is divided by (-67)/(-3) - (-4)/6.
20
Suppose -2*g = -4*c - 2, -2*c = -5*g - 6*c + 61. Calculate the remainder when 25 is divided by (-5)/(10/g)*-2.
7
Let y(p) = -3*p - 4. Calculate the remainder when 41 is divided by y(-6).
13
Suppose r = -2*y + 15, -2*y + 4*r = 8 + 2. Let z(d) = d**3 - 4*d**2 - 4*d + 6. Calculate the remainder when 41 is divided by z(y).
8
Suppose 6*z - 6 = 3*n + z, 5*n + 2*z - 21 = 0. Suppose 4*c - 3*x = x + 96, -n*x = 4*c - 61. Calculate the remainder when 37 is divided by c.
18
Let t(z) = -z**3 + z**2 - z + 1. Let w(a) = -4*a**3 + a**2 + 1. Let h(s) = 2*t(s) - w(s). What is the remainder when h(2) is divided by 10 - (0 + 1 + 0)?
8
Let v(r) = -r**3 - 12*r**2 + r + 17. Let p be v(-12). Suppose p*s - 6*s + 14 = 0. What is the remainder when 41 is divided by s?
13
Suppose q = -3*q - 2*x + 22, -2*x - 18 = -q. Suppose q*p - 4*p + 192 = 0. Calculate the remainder when (-1)/(98/p - -2) is divided by 13.
11
Suppose -6*l + l = p + 34, 11 = -l + 4*p. Let z(c) = -c**2 - 6*c + 9. Calculate the remainder when z(l) is divided by 2.
0
Let m = -3 + 26. What is the remainder when 90 is divided by m?
21
Suppose 0 = 143*a - 140*a - 156. Calculate the remainder when a is divided by 6.
4
Suppose 24 - 5 = n. Calculate the remainder when 36 is divided by n.
17
Let o = 31 - 3. Let c = -19 + o. Calculate the remainder when 17 is divided by c.
8
Let w(c) = c**2 - 5*c + 1. Let s be w(6). Suppose a = -s + 20. Let i(t) = t**3 - 6*t**2 + 7*t - 5. What is the remainder when i(6) is divided by a?
11
Let w(r) = 7*r + 2. Let t be w(7). Let p = t + 23. Calculate the remainder when p is divided by 19.
17
Suppose -2*b + 4*x + 18 = 0, 2*b + 4*x - 9 = 5*x. Suppose 27 = 4*w - b*k, -5 - 8 = 4*w + 5*k. Calculate the remainder when w is divided by 3.
0
Let m(c) = c**2 + c + 5. Let x be m(0). Suppose 0 = 2*s - 4*y - 34, s + s = x*y + 29. Calculate the remainder when s is divided by 10.
7
Let g = -19 + 31. What is the remainder when 46 is divided by g?
10
Suppose 0 = -23*l + 269 + 2537. What is the remainder when l is divided by 14?
10
Suppose -5*o + y + 90 - 15 = 0, 5*y = 3*o - 45. Let b = -4 + o. Suppose -20 = -4*m + 3*m. Calculate the remainder when m is divided by b.
9
Let u(a) = -a + 1. Let o be u(-9). Calculate the remainder when 3/((-15)/(-2))*o is divided by 2.
0
Suppose -2*f + 5*m + 6 = -3*f, 5*m + 5 = 0. Calculate the remainder when f/(-4) + (-524)/(-16) is divided by 18.
15
Let a be (1 - 2)*15 + -3. Calculate the remainder when (1 - a) + (-6)/(-2) is divided by 8.
6
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