
Suppose r + 4*r - 144 = -2*i, -418 = -5*i + 2*r. What is the remainder when i is divided by 17?
14
Let t = 52 + -9. Let l = -16 - -31. Calculate the remainder when t is divided by l.
13
Suppose 10 = 2*v + 3*v. Let t(k) = 2*k**3 - k**2 - 4*k + 3. Calculate the remainder when t(2) is divided by v.
1
Calculate the remainder when (-8)/20 + (-282)/(-5) is divided by 19.
18
Suppose z + 4*f = 11, -f - 2 - 9 = 3*z. Let c(o) = -5*o + 7. What is the remainder when c(z) is divided by 11?
10
Let q(x) = 9*x + 9 - x**2 - 9. Let d = -49 + 74. Calculate the remainder when d is divided by q(7).
11
Let c(h) = 32*h. Suppose 0*b - 3*b - 5*u + 13 = 0, 4*b = -5*u + 14. Calculate the remainder when c(b) is divided by 17.
15
Suppose 2*v - 2 = -n, -4*n = 6*v - 4*v - 14. Calculate the remainder when n is divided by 4.
0
Suppose 0 = 4*q + q - 315. What is the remainder when q is divided by 16?
15
Suppose -6*y + 2*y + 61 = o, 4*o + 8 = 2*y. Suppose -4*w - 5*c = -18, 0*c - 4*c = -8. What is the remainder when (-1*60)/(-3)*w is divided by y?
12
Let f(v) = v**2 + v - 9. Let j be f(0). Let d be 6/j*(-9)/2. Suppose d*h = 5 - 17, -2*c + h = -6. Calculate the remainder when 2 is divided by c.
0
What is the remainder when 83 is divided by (3 + (-6 - -1))/(4/(-56))?
27
Let w = -23 + 41. Let s(q) = 14*q**2 + q - 2. Calculate the remainder when s(-2) is divided by w.
16
Suppose -36 = 5*d + 4*r, -d - r - 12 = d. Calculate the remainder when 31 is divided by 1/(-8)*d*16.
7
Let j = 46 + -39. Suppose -2 = -3*q + 10. Calculate the remainder when j is divided by q.
3
Let y = -264 + 434. Suppose 0 = -5*t - 5*m + 170, -2*m - y = -5*t - 4*m. What is the remainder when 133 is divided by t?
31
Let l(i) = 81*i**2 + 2*i + 1. Let x be l(-1). Suppose 5*a - k = 84, -a + 5*k + x = 4*a. What is the remainder when 33 is divided by a?
16
Let g be 6 - (-3 - 0)/(-1). Suppose -g*a + 2*a + 38 = 0. Calculate the remainder when a is divided by 13.
12
Let u(b) = -b**3 + 7*b**2 + 9*b - 4. What is the remainder when 27 is divided by u(8)?
3
Let x = -14 - -28. What is the remainder when 54 is divided by x?
12
Let q(x) = x**2 - 7*x - 5. Let s be (-3 - 17)*(-2)/5. Let v be q(s). What is the remainder when v/2 + 291/6 is divided by 13?
11
Let v(o) = -2*o**3 - o**2 + 1. Let p(j) = -j + 9. What is the remainder when p(4) is divided by v(-1)?
1
Let v(i) = 7*i**3 + 2*i**2 - 2*i + 1. Suppose 6 = 4*y - 3*y. What is the remainder when v(1) is divided by -2 + (-1 - (0 - y))?
2
Suppose 5 = 3*k + 2*o, -k + 0*k + o = -5. Suppose -5 = -k*t - 2*b, -15 = -3*t - 0*t + 3*b. What is the remainder when 9 is divided by t?
0
Let c(f) = -11 + 0*f + 4*f + 2. Calculate the remainder when 44 is divided by c(6).
14
Let l = 8 - 5. Suppose l*o - 38 = 34. Calculate the remainder when o is divided by 9.
6
Let w = 1 - -4. Suppose -m = -1, a = -m - 4 + 19. What is the remainder when a is divided by w?
4
Suppose -2 = -4*d + 6. Suppose -9 - 1 = -d*a. Let n(u) = -u**2 + 8*u + 6. What is the remainder when n(7) is divided by a?
3
Calculate the remainder when ((-3)/(27/(-6)))/((-2)/(-201)) is divided by 34.
33
Let r be ((-3)/1 - 0) + 5. Suppose 0*c - 10 = -2*y + 2*c, -3*y + 5 = r*c. Suppose y*a - 2 = 4. What is the remainder when 4 is divided by a?
0
Let g be -1 + 7/(14/48). Suppose u + 1 = g. Let k(r) = -r**2 + 18*r - 16. Calculate the remainder when k(8) is divided by u.
20
Let b = -18 - -26. Calculate the remainder when b/4 + (-1 - -6) is divided by 5.
2
Let k be (-147)/(-7) + (-2 - 1). Let z = k - -10. What is the remainder when z is divided by ((-15)/4)/(3/(-8))?
8
Let n(s) be the second derivative of s**4/12 - s**3/3 - 2*s**2 + s. Calculate the remainder when n(-3) is divided by 6.
5
Let i be 20/6 - (-3)/(-9). Suppose i*h + h = 80. Suppose -3*f = -7*f + h. Calculate the remainder when 14 is divided by f.
4
Suppose -26 = -4*f - 2*p, -p = -4*f - 1 + 18. Suppose -5*l - 65 = -f*i + 20, 28 = 4*i + 4*l. Let g = -13 + 36. Calculate the remainder when g is divided by i.
11
Let d(o) = 49*o**2 - o + 1. Suppose i + 2*i = -18. Let y(v) = -4*v - 7. What is the remainder when d(1) is divided by y(i)?
15
Let k(i) = i**2 + 3*i - 6. What is the remainder when 10 is divided by k(-5)?
2
Let i = -205 + 214. Calculate the remainder when 96 is divided by i.
6
Suppose 8 = -2*b + 5*q + 2, 3*q = 2*b + 2. Let o = -1 + 2. What is the remainder when (-14)/(-5) + o/5 is divided by b?
1
Let n = -58 + 118. Calculate the remainder when n is divided by 33.
27
Let c(m) = -m**3 - 3*m**2 + 5*m + 10. What is the remainder when c(-6) is divided by 13?
10
Let z be ((-6)/3 - 2)*2. Let f(v) = -v**3 - 7*v**2 + 7*v - 6. Calculate the remainder when 5 is divided by f(z).
1
Calculate the remainder when ((-2)/3)/((-2)/108) is divided by 19.
17
Let x = -19 - -113. Calculate the remainder when x is divided by 24.
22
Suppose -2*l + 120 = 2*l. What is the remainder when 8 is divided by (1/(-3))/((-2)/l)?
3
Suppose 5*k + 2*y + 4 = -0*y, 4*k - 1 = -3*y. Suppose 0*q = -q + 54. Calculate the remainder when q is divided by (-56)/(4/k) + 0.
26
Let b(y) = -y**3 + 6*y**2 + 9*y - 13. Let l(d) = -8*d - 2. Calculate the remainder when b(6) is divided by l(-2).
13
Let r = 54 - 36. Let g be 8/36 - (-86)/r. Suppose g*y + 5 = 25. Calculate the remainder when y is divided by 3.
1
Suppose 5*b - 2*o = 141 + 86, -4*b - 2*o = -196. What is the remainder when b is divided by 10?
7
Calculate the remainder when (-1)/(2/(80/(-1))) is divided by 14.
12
Let l be 12/(-54) - (-146)/9. Suppose -l = -3*f + 5*f. Let u = f - -26. What is the remainder when 53 is divided by u?
17
Let o = 3 - 2. Let l(j) = 10*j**3 + j**2 - j + 1. Calculate the remainder when (-316)/(-10) + (-4)/(-10) is divided by l(o).
10
Let i be (2 - 1)*287/(-7). Let f = i - -97. Calculate the remainder when f is divided by 19.
18
Let f(v) = -v**3 + 12*v. Calculate the remainder when f(-5) is divided by 17.
14
Suppose 276 = -10*i + 16*i. What is the remainder when i is divided by 16?
14
Suppose 0 = 2*r - 3*t - 189, -3*r + 8*r + 4*t - 484 = 0. What is the remainder when r is divided by 20?
16
Let t(r) = 0*r - r + 5 + 0*r**2 + 3*r**2. Calculate the remainder when t(3) is divided by 6.
5
Let b be 0/((-6 + 3)/(-3)). Suppose 0 = -3*z - 3*u + 3, -16 = 4*u - b*u. Calculate the remainder when 10 is divided by z.
0
Let g(x) = 54*x**3 + x**2 - 2*x + 1. Suppose 3*i = -3*j + 2*j + 42, 42 = 3*i + 3*j. What is the remainder when g(1) is divided by i?
12
Suppose 4*x - 22 = -y, 6 = -x + 5*y + 1. Calculate the remainder when 21 is divided by x.
1
Let d = 33 + -5. Let a(q) be the second derivative of -q**5/20 + 5*q**4/12 + q**3/3 - 2*q. Calculate the remainder when d is divided by a(5).
8
Let n(g) = -g**3 + 4*g**2 + 3*g - 1. Calculate the remainder when 41 is divided by n(4).
8
Suppose -2*v + 4*z + 6 = -7*v, -5*v - 7 = 3*z. Let s be (v - -2) + (-16)/(-2). What is the remainder when 2/(-8) - (-90)/s is divided by 4?
3
Let t = 39 + -35. Let q(c) = c - 4. Let k be q(6). Suppose -k*o - 3*o + 50 = 0. What is the remainder when o is divided by t?
2
What is the remainder when 3/3*(19 - -6) is divided by 14?
11
Let n be (-3)/6*(2 - -2). What is the remainder when (0 + (-41)/n)*2 is divided by 21?
20
What is the remainder when 40 is divided by 8/28 - (-47)/7?
5
Let h = 0 + 14. Calculate the remainder when 38 is divided by h.
10
Let n be 6/4 - (-62)/4. Let z = n - -5. What is the remainder when z is divided by 6?
4
Suppose 0 = -5*h + 294 - 74. What is the remainder when h is divided by 16?
12
Let o(m) = -m**3 - 5*m**2 - 8*m - 9. Let k be 2/4 + 30/(-4). Let h be o(k). Suppose 7*x = 2*x + h. What is the remainder when x is divided by 8?
5
Let z(h) = -2*h + 3. What is the remainder when 16 is divided by z(-3)?
7
Suppose -2*v - 47 = -4*p + 3, -4*p + 20 = 4*v. What is the remainder when p is divided by (1 - 1) + (4 - 0)?
2
Suppose -18 = -22*a + 20*a. Let g(s) = 44*s**2 - s + 1. Calculate the remainder when g(1) is divided by a.
8
Suppose 0 = -k + 3 + 5. Suppose -5*r + k*r = 30. Calculate the remainder when r is divided by 6.
4
Suppose -5*y = -0*y - 200. Suppose -3*t + y = 2*t. Let l(n) = -n + 9. What is the remainder when t is divided by l(4)?
3
Let c = -44 - -70. What is the remainder when 101 is divided by c?
23
Calculate the remainder when 45 is divided by 11 - (1 - -2)/(-3).
9
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