t x = a - -12. Calculate the remainder when x is divided by 18.
15
Let c be (-15 + 1)/(3 + -1). Calculate the remainder when (-1 + c)*(-9)/6 is divided by 5.
2
Let h(l) = -l - 2. Let b be h(-4). Calculate the remainder when 21 is divided by (-4 - -2) + b - -11.
10
Suppose -4*r + 2 + 6 = 0. Calculate the remainder when (-26)/(-1) + (1 - -1) is divided by (0 + 1)/(r/20).
8
Let h = 11 - -17. Suppose 98 = 5*r - 57. Let l = r - 21. What is the remainder when h is divided by l?
8
Let s(n) = -3*n + 4. Suppose g + 4 = 6. Let d = -7 + g. Calculate the remainder when 37 is divided by s(d).
18
Let a be -2 - 5*(1 - 2). Let r = 25 + a. Let v(n) = -n**3 + 10*n**2 + 11*n + 10. What is the remainder when r is divided by v(11)?
8
Let a(w) = w**2 - 2*w - 3. Let b be a(-2). Suppose 5*j + b*z - 139 = 4*z, 3*z - 81 = -3*j. What is the remainder when j is divided by 2/1 + 1*13?
13
Suppose -5*y + 3*f - 53 + 16 = 0, y + 3*f + 11 = 0. Let c = y + 35. Calculate the remainder when c is divided by -5 - 2 - (-21 - (-2)/(-2)).
12
Let x = -30 + 53. Let v = 969 - 926. Calculate the remainder when v is divided by x.
20
Let b(q) = 6*q - 1. Let d(y) = -y. Let j be d(-2). Calculate the remainder when 31 is divided by b(j).
9
Let a be 1620/4 - (-2 - 1). Calculate the remainder when 49 is divided by a/(-16)*(-2)/3.
15
Let m(o) = -o + 3. Let x be m(-4). Suppose -f + 6*f = -2*t + 25, 0 = -t + 3*f + x. What is the remainder when 37 is divided by t?
7
Suppose -3*s + 2*s + 18 = 0. Let v(y) = 7*y + 4 + 0*y**3 - 3 + 7*y**2 - y**3 + 3. Calculate the remainder when v(7) is divided by s.
17
Let b = 16 + -36. What is the remainder when 5/b + (-117)/(-4) is divided by 8?
5
Let k = 6 - -6. Suppose -6*s = -3*s + 4*f - 122, 0 = 5*s + f - 175. Suppose s = i - 0*i. What is the remainder when i is divided by k?
10
Let j = 4 + -1. Suppose j = 4*k - 25. Let y(g) = -3*g - 2. What is the remainder when y(-5) is divided by k?
6
Suppose 0 = 2*n - 6*n, -3*v - 4*n + 39 = 0. Calculate the remainder when 35 is divided by v.
9
Suppose -92 = 2*c + c + 4*b, c + 26 = b. Suppose 7*t = 6*t - 5. Let f = t - c. What is the remainder when f is divided by 8?
7
Let c(m) = m**2 + 10*m + 2. Calculate the remainder when 8/2 - (-1 - -2) is divided by c(-10).
1
Suppose 2*u - 5 = 5*v, 3*u + 2 = -3*v + v. Let o be (-1)/3 - v/3. Suppose -m - 4*j - 1 + 25 = o, 2*m = -2*j + 36. What is the remainder when m is divided by 6?
4
Let q = -7 + 10. Suppose q*f = 4*m - 32 + 3, -3*m = 5*f - 58. What is the remainder when 19 is divided by m?
8
Let x = 11 + -6. What is the remainder when 23 is divided by x?
3
Let z be (-4)/10 - 32/(-5). Let d = z + -1. Suppose d*h = 16 + 39. Calculate the remainder when 32 is divided by h.
10
Suppose -3*x + 7 + 13 = 2*g, -g + x = 0. Let w be 130/g + (-2)/4. What is the remainder when ((-3)/(-6))/(1/w) is divided by 9?
7
Let y = 41 - 6. Suppose -5*t - 2 = 2*p, 2*t + 0*t = -4. Suppose -3 = -3*a, 0 = p*x + 4*a - 8*a - 68. What is the remainder when y is divided by x?
17
Let w be 464/12 - (-1)/3. Suppose 0*u = 3*u - w. What is the remainder when 24 is divided by u?
11
Let p(s) = s**3 - 7*s**2 - 2*s + 9. Let b be p(7). Let h(j) = -5*j - 3. What is the remainder when h(b) is divided by -1 + 13 - (-2 - -2)?
10
Let g(q) = -q**2 - 11*q + 12. Let v be g(-9). Let f be (-6)/(-21) - 128/7. Let h = f + v. What is the remainder when h is divided by 7?
5
Let a = -5 + 5. Suppose -3*q - 2*q + 90 = a. What is the remainder when 4*9 + 0 + -1 is divided by q?
17
Let j(i) = 4 + 2 + 9*i + 0*i + 2*i. Calculate the remainder when j(5) is divided by 16.
13
Suppose -26 = -4*q + 3*q - 5*n, 4*n = -4*q + 40. Calculate the remainder when 10 is divided by q.
4
Suppose -a = 5 - 6. Calculate the remainder when -2 - 1/a*-59 is divided by 20.
17
What is the remainder when 93 is divided by (-11 - -14)/((-3)/(-32))?
29
Let x = -1 + 4. Suppose x*l - l + 148 = 3*o, 194 = 4*o - 2*l. What is the remainder when o is divided by 12?
10
Let u be ((-8)/6)/((-3)/(-36)). Let c = 47 + u. Suppose -4*r + 11 = -3*r. What is the remainder when c is divided by r?
9
Let n(f) = -f**2 + 8*f - 3. Let g be n(7). Suppose 10 + 2 = g*t. What is the remainder when 6 is divided by t?
0
Let n(y) = -y + 8. Let s be n(6). Let o(d) = -52*d**2 - 4*d - 3. Let z be o(-1). What is the remainder when 13 is divided by s/(-3) - z/9?
3
Let i = -8 - -1. Let d(b) = b**3 + 6*b**2 - 9*b + 5. Calculate the remainder when (-2)/(-2)*-37*(-2 - -1) is divided by d(i).
18
Let s be (0 + 0 - -34) + 1. Suppose 2*v - s = -3*v. Suppose -n + v = 5*a, -a - 10 = -n + 15. Calculate the remainder when n is divided by 8.
6
Let b(t) = 0 + 3*t + 1 - 3. What is the remainder when 47 is divided by b(6)?
15
Suppose 0 = x + 3*o - 8*o - 32, 3*x + 4*o = 96. Suppose 0 = 4*n + 5 + 3. Let u(f) = -f**3 + f**2 + f + 1. Calculate the remainder when x is divided by u(n).
10
Let c(w) = -w**3 + 12*w**2 + 13. What is the remainder when c(12) is divided by 7?
6
Suppose 0 = -3*c - 12, -4*x + 12 + 32 = -c. Let y = -69 - -97. What is the remainder when y is divided by x?
8
Let i = 24 + -20. Calculate the remainder when i is divided by 3.
1
Let i = -1 - 4. Let b = -1 - i. Suppose 4*j + l - 83 = 0, -16 = 4*l + b. Calculate the remainder when j is divided by 8.
6
Let y(v) = v. Calculate the remainder when y(2) is divided by 2.
0
Let v(t) = t**3 - 4*t**2 + 3*t. Calculate the remainder when 23 is divided by v(4).
11
Let p(k) be the second derivative of k**4/12 - 2*k**3/3 + 5*k**2/2 + k. What is the remainder when 31 is divided by p(6)?
14
Suppose 5*w - 3*f - 79 = 0, 0 = 4*w - 3*f - 47 - 15. Calculate the remainder when 32 is divided by w.
15
Let m(r) = -5*r - 13. Calculate the remainder when m(-15) is divided by 16.
14
Let c = -20 - -39. What is the remainder when 37 is divided by c?
18
Suppose -2*n + 33 = u, 71 = 2*u - 3*n + 2*n. What is the remainder when u is divided by 3?
2
Let m = -5 + 8. Let g = 53 - 32. Suppose 5*o = 4*h + 80, 0 = m*o + 3*h - 0*h - g. Calculate the remainder when 22 is divided by o.
10
Suppose -j - 3*d = -7 - 4, j = -5*d + 11. Calculate the remainder when j is divided by 1/4 - (-23)/4.
5
Suppose 2 = x - 3*j, -3*x + 3*j - 1 = -25. What is the remainder when 41 is divided by x?
8
Let c = -142 + 222. Let s = c - 23. Calculate the remainder when s is divided by 15.
12
Let n = 90 - 49. Suppose k + 2*d = 6*k - n, -k + 2*d = -5. What is the remainder when 16 + (2 - 4) + 2 is divided by k?
7
Let q(z) = 10*z + 1. Let m be q(-1). Let f(d) = -6*d + 5. Suppose -l + 80 = 3*l. Calculate the remainder when f(m) is divided by l.
19
What is the remainder when 144 + 4 + 4 - 4 is divided by 38?
34
Suppose 29 = 4*l - 3*t - 0*t, 0 = -3*l - 5*t + 58. Calculate the remainder when (-2)/6*-93*1 is divided by l.
9
Suppose 3*x - 5*y - 31 - 48 = 0, 4*x - 112 = 5*y. Calculate the remainder when 64 is divided by x.
31
Suppose 0 = -2*l + 4. Suppose -92 = -2*q - l*q. What is the remainder when q is divided by 8?
7
Suppose -10 = -2*y + 20. Suppose 0 = -q - 2, 5*m - 29*q = -26*q + 221. Calculate the remainder when m is divided by y.
13
Suppose j + 4*j = -10. Let v(a) = 7*a - 1. Calculate the remainder when v(4) is divided by j/3 - 92/(-12).
6
Let o(r) = -2*r + 3. Let x = 5 - 8. Calculate the remainder when 17 is divided by o(x).
8
Let l = -1 - -4. Suppose 0 = z + l*z + 8, -5*f = z - 118. Calculate the remainder when 95 is divided by f.
23
Suppose -20 + 68 = 2*w. Calculate the remainder when w is divided by 5.
4
Let t = -58 - -83. What is the remainder when 98 is divided by t?
23
Let y(u) = -8*u - 6. Let c be y(-4). Suppose -60 = -5*g - 4*b, 3*g - 2*b = c + 10. What is the remainder when 46 is divided by g?
10
Let d = -81 - -97. Calculate the remainder when d is divided by 5.
1
Suppose 0 = 5*a - 15, -3*w - w + 18 = -2*a. Let p = 3 + w. What is the remainder when 1/4 + 131/4 is divided by p?
6
Let i be (4/(-2))/(2 - 1). Let o = i + 4. What is the remainder when 25 is divided by 89/7 + o/7?
12
Let l = 26 + -11. What is the remainder when l is divided by 8?
7
Let j = 11 + 7. Suppose 3*x = -x + 24. Let k = x + 4. Calculate the remainder when j is divided by k.
8
What is the remainder when 30 is divided by (-4)/(-2*(-3)/(-24))?
14
Let d be 12/16 - (-18)/8. Suppose -51 = -d*k - 0*k. Calculate the remainder when 33 is divided by k.
16
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