a be 1/(-1 + 2) + 3. Suppose -5*f = -5*y - 210, -43 = -a*f - y + 120. Let u = f - 27. What is the remainder when 53 is divided by u?
11
What is the remainder when 218/5 - 4/(-10) is divided by (3/1)/(3/15)?
14
Suppose 3*x + 4*a = 5*x, 0 = -3*x + a + 5. Suppose 5*w - 5*n = 0, -8 = -2*w + w - n. Calculate the remainder when w is divided by x.
0
Suppose -4*d = -3*r - 38, 2*r + 2*r - 41 = -3*d. Let l = d + 0. Let s(x) = x**3 + 5*x**2 + x - 5. Calculate the remainder when l is divided by s(-4).
4
Suppose -13*k = -18*k + 45. What is the remainder when 31 is divided by k?
4
Let q(l) = -5*l**3 - 1 - l**3 + 36*l**3. Suppose 2*z = 4 + 16. Calculate the remainder when q(1) is divided by z.
9
Suppose -4*m + 63 = -2*j + 13, 4*j + 61 = 5*m. What is the remainder when m is divided by 5?
3
Let d be 70*(-3)/(-6)*2. Suppose 5*f = d - 15. Calculate the remainder when 20 is divided by f.
9
Let z(j) = -j - 3. Suppose -4*f + 4 = -0*f. What is the remainder when z(-6) is divided by f?
0
Let r = -47 + 63. Calculate the remainder when r is divided by 9.
7
Let n(v) = -2*v - 4. Let o be n(-4). Suppose o*b = -2*d + d + 55, 3*d = -b + 110. Suppose 2*g = d - 1. Calculate the remainder when 32 is divided by g.
15
Suppose 4*v + h - 63 = 0, 0*v = 2*v + 2*h - 36. What is the remainder when v is divided by 8?
7
Suppose -1 = f - 32. Let y = -40 + 56. Calculate the remainder when f is divided by y.
15
Suppose 5*p = -0 + 30. What is the remainder when p is divided by 2?
0
Let x = 56 + -30. Let b be (-150)/39 + (-4)/x. Calculate the remainder when 38 is divided by 22 - b/(-2) - 0.
18
Let u(o) = -o**3 + 6*o**2 - 4*o + 5. Let m(a) = a + 37. What is the remainder when m(0) is divided by u(5)?
7
What is the remainder when 124 is divided by (-170)/(-4) - (-3 + 7/2)?
40
Let r(q) = 0*q**3 + 4*q + 1 + 2 - 5*q + q**3 - q**2. What is the remainder when 3 is divided by r(0)?
0
Let z be (-1)/(-5) - 38/(-10). Let h(c) = -2*c - 2. Let p be h(-2). What is the remainder when (z - p)*(-57)/(-6) is divided by 7?
5
Let l = -47 + 33. Let c = l - -38. Suppose -288 = -4*t - 2*z, 2*t - 2*z = 143 - 11. Calculate the remainder when t is divided by c.
22
Suppose 2*k + 18 = -5*w, k = -3*w + 6*w + 2. What is the remainder when (3/w)/((-1)/10) is divided by 1*8 + (-6 - -6)?
7
Let t(j) = -j**3 - 3*j**2 + 4*j + 2. Let d be t(-5). Let m = d + -17. Suppose 4*h = 0, v - 112 = -3*v + 2*h. What is the remainder when v is divided by m?
13
What is the remainder when 46 is divided by (-96)/(-10)*(-105)/(-42)?
22
Let n(z) = -2*z + 1. Let h be n(1). Calculate the remainder when ((-215)/15)/((-1)/3) is divided by (12 - h) + 6/3.
13
Suppose 4*w + 5*q - 80 = w, -2*q - 64 = -2*w. Suppose -2*t + 0*t + w = 0. What is the remainder when 57 is divided by t?
12
Let y(a) = -4*a + 4. Let p be y(5). Let k = p + 24. What is the remainder when 23 is divided by k?
7
Suppose 9 = 2*j - 7. Let a = 78 + -56. What is the remainder when a is divided by j?
6
Suppose -q + 49 + 29 = 0. What is the remainder when 36 is divided by ((-1)/3)/((-2)/q)?
10
Let c be (-6)/(-2) - (-1 + 0). Suppose c*g + 11 = 31. Calculate the remainder when g is divided by 2.
1
Let s = -112 - -187. What is the remainder when s is divided by 13?
10
Let y(s) = s**2 + 14*s - 13. Let k(l) = l**2 + l. Let i(p) = -2*k(p) + y(p). What is the remainder when 26 is divided by i(9)?
12
Let q(z) = 4*z**2 - 2*z - 1. What is the remainder when 120 is divided by q(2)?
10
Let f(r) = -r - 11. Calculate the remainder when f(-17) is divided by 10/4 - (-1)/2.
0
Suppose -115 = -9*u + 4*u. Let k = -16 + 24. Calculate the remainder when u is divided by k.
7
Let l(i) = -2*i - 13. Let t be l(-9). Suppose t*w - 35 = 5. What is the remainder when 13 is divided by w?
5
Let z(x) = -2*x**3 - 7*x**2 - 6*x - 1. Suppose 2*a + 3 = 7. Calculate the remainder when z(-4) is divided by (a - 1)/(3/60).
19
Let k = 15 - 9. Let i(b) = -b**2 + 8*b + 7. What is the remainder when i(k) is divided by ((-2 - 3) + 6/(-3))/(-1)?
5
Let v = -13 - -8. Let u = 7 + v. Let x(w) = -3*w - 1. Calculate the remainder when u is divided by x(-1).
0
Suppose 3*o = -0*o - 3*l, 3*o - 20 = 2*l. What is the remainder when o is divided by 3?
1
Suppose -2*p - 10*p = -168. What is the remainder when 110 is divided by p?
12
Let k(o) = 2*o - 3. Let a be 40/1*(-8)/(-20). Calculate the remainder when 85 is divided by k(a).
27
Let m be (-48)/(-10)*50/15. Suppose -3*n - m + 43 = 0. Calculate the remainder when 25 is divided by n.
7
Suppose x - 14 = -2*b - 3*x, -2*b = 3*x - 16. What is the remainder when 5/(-2)*(-1218)/145 is divided by b?
10
Let h(n) = n**3 + 9*n**2 + 7*n - 8. Let u be h(-8). Suppose -2*s + 16 = -u. Suppose -a + s = -0*a. What is the remainder when 22 is divided by a?
6
Suppose -2*q + b + 2 = 4, 0 = -3*q - 3*b + 15. Calculate the remainder when 30 is divided by -1 + q - (-11 - 5).
14
Let f(n) = -2*n**3 - 7*n**2 - 6*n - 10. Let h be f(-3). Let x(j) = -6*j - 6. Let k be x(-5). Let v = k + h. Calculate the remainder when v is divided by 6.
5
Let h = 283 + -98. Suppose 5*r + 0*r - h = 0. What is the remainder when r is divided by 20?
17
Suppose 40 = -0*c + 5*c. What is the remainder when 30 is divided by c?
6
Let p be (-20)/(-6)*(-6)/(-4). Suppose p*l + 2*r = 90, 0 = l + 2*l + 4*r - 68. Calculate the remainder when 63 is divided by l.
15
Let s(v) be the first derivative of -13*v**2/2 - 2*v - 1. Suppose -3*p = -5*p - 6. Calculate the remainder when s(p) is divided by 13.
11
What is the remainder when 40 is divided by (-6)/4*(-110)/15?
7
Suppose 5*m - s + 38 = 0, 0 = -m + s - 7 + 1. What is the remainder when 23 is divided by (-1 - -7)*m/(-6)?
7
Let n(z) = 0*z + 7*z + 4 - 10*z. What is the remainder when n(-4) is divided by 9?
7
Suppose -16 - 5 = -7*a. Calculate the remainder when 11 is divided by a.
2
Let h(z) = -z - 5. Let s be h(0). Let n = s - -5. Let x = n - -4. What is the remainder when x is divided by 3?
1
Suppose -74 = -r - 3*b, 88 = 2*r - b - 32. What is the remainder when r is divided by 13?
10
Let u be (-1)/4 + 71/(-4). Let f = u - -8. What is the remainder when 35 is divided by (4/f)/(1/(-30))?
11
Let g(w) = -w**3 - 5*w**2 - 4*w + 4. Suppose p = -3*q - 17, p - 4 = 3*q + 3. Let f = -1 - -3. Calculate the remainder when g(q) is divided by f.
0
Let i(s) = 21*s**3 - 4*s**2 + 3*s - 1. Let h be i(2). Suppose v + 27 = p - 2*v, 5*p = 4*v + h. What is the remainder when p is divided by 9?
6
Suppose 0 = -d - 5*k + 1 + 1, -8 = -4*d - 2*k. Let v(h) = h**3 - 4*h**2 - 6*h + 6. Let f = -31 - -36. Calculate the remainder when d is divided by v(f).
0
Suppose 63 = -0*w + w. Calculate the remainder when w is divided by 16.
15
Suppose 5*x = -5, -2*h - 3*h = -2*x + 13. Let c = h + 8. Suppose 60 = c*a - 85. Calculate the remainder when a is divided by 15.
14
Let d = 0 + 10. Let j = 10 - d. Suppose x + 4*a - 21 = 10, -5*x - a + 193 = j. Calculate the remainder when x is divided by 14.
11
Suppose -12 = -o - 2*o. Suppose o*h - 15 = -h. Let x = 3 + h. What is the remainder when 10 is divided by x?
4
Let i be 2/(-3) - (-375)/(-45). Let c = -1 - i. Calculate the remainder when 22 - 2/(-4)*0 is divided by c.
6
Suppose t - 6*t + 22 = b, -18 = -3*t - 3*b. What is the remainder when 30 is divided by t?
2
Suppose 6*q - 504 = -6*q. Calculate the remainder when q is divided by 13.
3
What is the remainder when (0 - -6)*(-341)/(-22) is divided by 3/1*11 + -1?
29
Let l = -17 - -51. Let o(s) = -6*s. Let q be o(-2). Let x = q + -3. Calculate the remainder when l is divided by x.
7
Let n(f) = -f**3 + 11*f**2 - 8*f + 4. Let g be n(10). Suppose 3*u - g = 15. What is the remainder when 51 is divided by u?
12
Let u(r) = -1 + 0*r**2 + 4*r**2 + r**2. Let m be u(1). Suppose -125 = -m*c - c. Calculate the remainder when c is divided by 9.
7
Let u be -2*(-1 - -4)/6. Let g be ((-2)/4)/(u/4). Let a(h) = h**2 - 2. Calculate the remainder when 2 is divided by a(g).
0
Suppose 3*c = o + 32, 0 = -c + 5*o - o - 4. Calculate the remainder when c is divided by 7.
5
Let v be ((-8)/6)/((-2)/(-6)). Let q(u) = -3 - 4 + 5 + 2*u**2 - u. Calculate the remainder when q(v) is divided by 12.
10
Let f = 12 + 2. Let g = f - 0. What is the remainder when g is divided by 4?
2
Suppose 0 = -2*w + 2*t - 288, t - 3*t = 5*w + 741. What is the remainder when -2*w/(-12)*-2 is divided by 26?
23
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