pose 6*q + 3 = 3*q, 5*q = -5*l + 5. What is the remainder when 6 is divided by l?
0
Suppose -2*r = -5*r + 5*o - 78, o + 39 = -2*r. Calculate the remainder when 45 is divided by 9/r + (-460)/(-28).
13
Suppose 0 = -g + 13 + 17. Let r = g + -15. Calculate the remainder when r is divided by -28*(-1)/((-14)/(-4)).
7
Calculate the remainder when (-8 - 395/10)*(-8)/10 is divided by 29.
9
Suppose -3*l + 2*n = -7 - 20, -5*l + 3*n = -46. What is the remainder when l is divided by 4?
3
Let t(c) = c - 3. Suppose -y - y = -22. What is the remainder when 11 is divided by t(y)?
3
Let b = 11 + 2. Suppose 36*w - 18*w = 108. Suppose w*z + b = 115. Calculate the remainder when 100 is divided by z.
15
Let t = 210 + -187. Calculate the remainder when t is divided by 14.
9
Let n = 69 - 45. Calculate the remainder when 118 is divided by n.
22
Let m = 59 + -25. Let y = m - 33. Calculate the remainder when y is divided by 1.
0
Let a(m) = -6*m**3 + 14*m + 5*m**2 - 3*m**3 + 3*m**3 + 5*m**3 + 4. What is the remainder when a(6) is divided by 19?
14
Suppose 4*j = 15*j - 2244. What is the remainder when j is divided by 9?
6
Let v(z) = z**3 + 18*z**2 - 4*z + 47. Calculate the remainder when v(-18) is divided by 18.
11
What is the remainder when 39 is divided by 0 - ((-6)/(-6) - 3)*4?
7
Let d(i) = -2*i**3 - 10*i**2 - 5*i - 30. Calculate the remainder when d(-7) is divided by 3.
0
Calculate the remainder when ((-1180)/(-30))/((-22)/(-297)) is divided by 133.
132
Suppose 12*r + r = 975. Calculate the remainder when r is divided by 16.
11
Let h(d) = -5*d - 67. What is the remainder when 37 is divided by h(-16)?
11
Suppose -2*c = -4*c + 22. Let j = -20 + c. Let k = j - -31. What is the remainder when 41 is divided by k?
19
Let m(b) = -18*b**3 - 2*b**2 - 2*b - 1. Suppose 3*f - 111 = 78. Calculate the remainder when f is divided by m(-1).
12
Let m = 70 - 45. Let t(g) = -6*g**3 - 2*g**2 - 8*g - 10. Let b = 283 - 285. Calculate the remainder when t(b) is divided by m.
21
Let x = -202 - -514. Let z = 90 - 36. Calculate the remainder when z is divided by (-28)/154 + x/22.
12
Let s(g) = 2*g + 31. Let d be s(-16). Let n(c) = -12*c - 6. Suppose -5*y + 23 + 27 = 0. What is the remainder when y is divided by n(d)?
4
Suppose 0 = -11*t + 11 + 44. Let c = -203 + 206. What is the remainder when t is divided by c?
2
Let r = 313 + -283. Let x(q) = q**3 + 8*q**2 + 7*q + 8. What is the remainder when r is divided by x(-7)?
6
Suppose 0 = -r + h + 8, 5*r = -2*h + 5*h + 40. Let d = r + -8. Calculate the remainder when 61 is divided by 14 - (-3 - -1 - d).
13
Let n(u) be the second derivative of 3*u**5/10 - u**4/12 - u**3/3 + 3*u**2 + 28*u. Calculate the remainder when n(2) is divided by 10.
6
Suppose -65 = -8*a + 3*a. Let t = 19 + -9. Let c = 72 - t. Calculate the remainder when c is divided by a.
10
Suppose -66*l + 29 = -631. Suppose 84 = 2*c - 64. Suppose 5*y + 3*g - 147 = 0, 0 = -y + 3*y + 5*g - c. What is the remainder when y is divided by l?
7
Suppose -6*k = -k - 25. Let c = k + -4. Suppose 4*r - c - 23 = 0. What is the remainder when 9 is divided by r?
3
Suppose -5*r + 135 = 4*r. What is the remainder when 23 is divided by (r/(-9))/((-2)/18)?
8
Let s = 4 + 16. Suppose s = -2*l + 52. Suppose l = 3*o + 2*w, -4*o + 4*w = w + 7. Calculate the remainder when 5 is divided by o.
1
Let u(y) = -y**2 - 12*y - 10. Let x = -22 + 14. What is the remainder when u(x) is divided by 12?
10
Let m = 148 - 39. Let b = m + -46. Calculate the remainder when b is divided by 11.
8
Suppose 0 = v - o - 183, 2*v = -3*o - 245 + 596. Calculate the remainder when v is divided by 31.
25
Let v be (-30)/3*5/(-10). Suppose 0 = -v*n + 497 + 263. Suppose 0*x = 4*x - n. What is the remainder when x is divided by 13?
12
Let j be 3 - 6/(12/34). Calculate the remainder when 86 is divided by (-1386)/(-36)*(-8)/j.
20
Suppose -11*f + 4*f + 189 = 0. Suppose -35 = -2*c - f. What is the remainder when c is divided by 2?
0
Let q be 9 + (-4 - (-2 + -3)). Calculate the remainder when -3 + q - -2*2 is divided by 6.
5
Let w = -43 + 45. Suppose w*i + 9 = 17. Calculate the remainder when 17 is divided by i.
1
What is the remainder when 429 is divided by (-4)/(-27 - -3) + (-1144)/(-48)?
21
Suppose -4*c = 2*r - 330, 9*r - 237 = -3*c + 4*r. Let q be (c/(-24))/((-2)/36). Let a = q - 43. What is the remainder when 56 is divided by a?
16
Suppose -3*t + 44 = 4*p - t, -4*p = -4*t - 32. Suppose -4*k - p = -9*k. Suppose 0 = 31*h - 28*h - 12. Calculate the remainder when h is divided by k.
0
Let b be 80/56*(-14)/(-4). Suppose 6*l = 3*l + 5*c + 127, b*l - 225 = -5*c. Calculate the remainder when l is divided by 16.
12
Let r(z) = 3*z - z + z**2 + 1 + 3*z + 9*z. Let d be r(-14). What is the remainder when d + 3 + 1190/17 is divided by 19?
17
Let y(a) = a + 2. Let i(r) = -r**2 + 3*r - 2. Let x be i(4). Let u be y(x). Calculate the remainder when 22 is divided by u/18 + 112/18.
4
Suppose 3*o - 9 = -18. Calculate the remainder when -10*o/6 + -2 + 3 is divided by 6.
0
Suppose 2*x - 22 = 6*q + 2, 3*x + 5*q - 106 = 0. What is the remainder when 266 is divided by x?
23
Suppose -s + 6 = -5. Let o(d) = d**3 - 3*d**2 + 5 - 12 - 10*d - 7*d**2. What is the remainder when o(s) is divided by 3?
1
Suppose 690*p = 696*p - 6816. Calculate the remainder when p is divided by 30.
26
Let f(y) = 2*y - 2. Suppose -n - 9 = -1. What is the remainder when ((-4)/n)/(1/116) is divided by f(11)?
18
What is the remainder when (24 + -23)/((-3)/(-447)) is divided by 25?
24
Suppose -c + 3*c = 142. Suppose -12 - 18 = 5*w. Let y(o) = o**3 + 8*o**2 + 8*o - 6. Calculate the remainder when c is divided by y(w).
17
Suppose 0 = -3*q - 40 + 184. Calculate the remainder when q is divided by 10.
8
Suppose -5*p + 3*f = -2064, -2*p + 2*f + 196 = -628. Calculate the remainder when p is divided by 70.
64
Let h(x) = 5 - 5*x**2 - x + 4*x**2 + 0*x - 8*x. Suppose 0 = 4*g + 3*y + 33, 5*y = 2*g - 4*g - 13. What is the remainder when h(g) is divided by 3?
2
Suppose 0 = -90*z + 81*z + 1566. Calculate the remainder when z is divided by 44.
42
What is the remainder when (-1)/(-3) - 11116/(-42) is divided by 45?
40
Let f(v) = -8*v**3 - v**2 + 7*v - 10. Calculate the remainder when f(-3) is divided by 36.
32
Suppose p - 9 - 5 = -2*y, p - 2 = 4*y. What is the remainder when 507 is divided by p?
7
Suppose q + 3*s = 38 + 24, -10 = 2*s. Suppose q = 8*g - g. Let m = 23 - g. What is the remainder when 59 is divided by m?
11
Let z(y) = -y**2 + 33*y + 37. What is the remainder when z(32) is divided by 19?
12
Let n = 96 - 53. Suppose 79*w - 178*w = -89*w - 90. What is the remainder when n is divided by w?
7
Let x be (-455)/(-52) + (-2)/(-8). Suppose -h - 13 = -4*l, x = 4*h + 3*l - 34. Suppose 4*g + g = 100. What is the remainder when g is divided by h?
6
Let n(j) = 8*j**2 + 15*j + 28. What is the remainder when 208 is divided by n(-2)?
28
Suppose -2*a + 0 = 4*i + 6, -9 = -2*i + 3*a. Suppose 2*z - 5*z + 94 = 5*g, g - 5 = i. Let w = -17 + 29. Calculate the remainder when z is divided by w.
11
Let m = -349 + 544. What is the remainder when m is divided by 49?
48
Let m be ((-75)/10)/((-3)/6). Suppose k + 3 = m. What is the remainder when 15 is divided by k?
3
Let n = -26 + 24. Let a be ((-2)/6)/(n/18). Calculate the remainder when 6 is divided by (-15)/((-9)/a) - 2.
0
What is the remainder when 57 is divided by 32/(-64) + (-11)/(-2)?
2
Let a = 427 - 268. Calculate the remainder when a is divided by 10.
9
Let d(p) = -2*p + 2. Let y = 20 - 15. Suppose 4*r - 3*g = 119, -2*r - 2*g + y*g = -61. Calculate the remainder when r is divided by d(-4).
9
Let a = 2392 - 2388. Let t = 3 + 2. Suppose z + z - 70 = -t*u, 3*u = -3*z + 42. Calculate the remainder when u is divided by a.
2
Suppose w + 8*h = 367, -15*w + 10*w + 1913 = h. Calculate the remainder when w is divided by 78.
71
Suppose 789 = 3*d - 7*h, -12 = -3*h - h. Calculate the remainder when d is divided by 7.
4
Suppose -7*s + 2*s = 20. Let b(i) = i**2 + 2*i - 1. Let o = 15 - -12. What is the remainder when o is divided by b(s)?
6
Let g(q) = 3*q**2 - 6*q - 11. Let p(w) = w - 13. Let i be p(17). What is the remainder when 49 is divided by g(i)?
10
Let n = -318 - -372. Calculate the remainder when 160 is divided by n.
52
Let p(x) = -4*x**3 - 103*x**2 + 26*x + 22. What is the remainder