z*o = -42. Let x(f) = -f**3 - 6*f**2 - f + 2. What is the remainder when o is divided by x(-6)?
5
Suppose 4*j + a = j + 9, -9 = -3*j + a. Let d(n) = -12*n - 40. Calculate the remainder when d(-4) is divided by j.
2
Suppose 3*h = -c - c + 67, 2*c = -8. Calculate the remainder when h is divided by 36/4 + 0/(-4).
7
Let q be (-9)/6*(-8)/6. What is the remainder when 9 is divided by -1 - (q - 2 - 3)?
1
Suppose -17 - 8 = -5*u. Calculate the remainder when 178/14 - (-4)/14 is divided by u.
3
Suppose -2*f = -2*d + 4, -2*d - 6*f = -2*f + 2. Suppose -3*l = -5*w - 14, -2*w - 3 + d = 0. What is the remainder when 7 is divided by l?
1
Let r(m) = m**2 - 11*m + 13. Let c be r(10). Let f(v) = 6*v - 1. Calculate the remainder when 49 is divided by f(c).
15
Let c = 0 - -10. What is the remainder when 18 is divided by c?
8
Let q = -62 - -68. Let r(m) = m**2 - 5*m + 3. Calculate the remainder when r(7) is divided by q.
5
Let y be -1 + (-49)/(-2 - -1). Let q be (-3)/(-9) + 15/9. Suppose 3*u - q*f + 0*f - y = 0, 3*f - 9 = 0. Calculate the remainder when u is divided by 10.
8
Suppose x - 25 = -4*x. Calculate the remainder when x is divided by 2.
1
Suppose 0 = -2*a - c + 40, 0*a = -a + 2*c + 20. What is the remainder when a is divided by 7?
6
Suppose 25 = 3*f - 5*v, 5*v = 13 + 7. Calculate the remainder when 28 is divided by f.
13
Let o = 23 - 15. Calculate the remainder when 12 is divided by o.
4
Let k = 133 - 108. Let p(q) = q**2 + q + 4. Let j be p(0). Suppose 40 = 5*g + 5*l, -34 = g - j*g - l. Calculate the remainder when k is divided by g.
12
Let d be -3 - 1 - (3 + -4). Let u(y) = 2*y**2 + 4*y + 3. What is the remainder when 25 is divided by u(d)?
7
Let u(z) = 17*z**2 - z + 1. Calculate the remainder when u(2) is divided by 35.
32
Let m(a) = -7*a**2 + a - 1. Let p be m(1). Let x(l) = -l + 3. Let r be x(p). Calculate the remainder when 25 is divided by (r + -1)*(2 - 1).
7
Let y = -63 + 74. Calculate the remainder when 65 is divided by y.
10
Suppose -y + 90 = 4*y. What is the remainder when 50 is divided by y?
14
Let s = 15 - 7. Let d be ((-4)/s)/(1/(-4)). Suppose -5*p + d*p + 105 = 0. What is the remainder when p is divided by 12?
11
Calculate the remainder when 24 is divided by (-6)/(-8) - 33/(-4).
6
Let s(g) = 2*g + 10. What is the remainder when 48 is divided by s(8)?
22
Suppose 4*j - 42 = -2*j. Calculate the remainder when 23 is divided by j.
2
What is the remainder when 29 is divided by (90/(-12))/(1/(-2))?
14
Suppose h - 15 - 3 = -5*u, -u = 3. Let z(l) = -l**3 - 5*l**2 + 5*l + 3. What is the remainder when h is divided by z(-6)?
6
Suppose g + 14 = -2*c + 52, 0 = 3*c + 5*g - 71. What is the remainder when 55 is divided by c + -3*(-1 - -2)?
13
Suppose 4*d = -2*u + 1020, 0 = -d + 3*u + u + 246. What is the remainder when d is divided by 32?
30
Let t be 2/(-11) - (-1044)/(-66). Let z = t + 37. Calculate the remainder when z is divided by 12.
9
Let a = 31 - 110. Let g = a + 119. Let k = 32 - 18. Calculate the remainder when g is divided by k.
12
Let q = 378 + -218. Calculate the remainder when q is divided by 41.
37
Suppose 2*o + 0 = 10. Let u(p) = -p**2 + 6*p + 7. Calculate the remainder when 35 is divided by u(o).
11
Suppose 0 = 2*x + 2*y + 6 - 54, 0 = -x + 3*y + 36. What is the remainder when x is divided by 10?
7
Suppose 3*n + 5 = -2*p, 3*p - n + 1 = 10. Suppose -4*f = -5*j + 167, 3*j - 120 = p*f - 21. Calculate the remainder when j is divided by 11.
9
Let t = -202 + 479. Calculate the remainder when t is divided by 31.
29
Suppose j - 4*s - 11 = 0, -23 = 4*j - 5*j + s. What is the remainder when 104 is divided by j?
23
Let j be 0 - ((-12)/2)/3. What is the remainder when 1/((0 - -2)/j) is divided by 1?
0
Suppose -6*x + 14 = 5*i - 2*x, -10 = -4*i - 2*x. Let g(k) = -2*k**3 + k**2 + k. Let b be g(-1). Let f = b - -2. Calculate the remainder when f is divided by i.
0
Let b(z) = 2*z + 14. Calculate the remainder when 179 is divided by b(8).
29
Suppose 15 + 2 = a. Calculate the remainder when a is divided by 6.
5
Let q(v) = v**3 + 12*v**2 + 18*v + 18. What is the remainder when q(-10) is divided by 20?
18
Suppose -2*a + 28 = -26. Calculate the remainder when a is divided by 7.
6
Suppose 3*f - r = 534, -r + 114 = 3*f - 414. Calculate the remainder when f is divided by 45.
42
Suppose u - 5*p + 13 = -10*p, -53 = -4*u + p. What is the remainder when u is divided by 11?
1
Calculate the remainder when (-72)/(-24)*(0 + 18) is divided by (-4)/(-2) - (2 - 19).
16
Let q be (22/2)/(2 + -1). Suppose -4*j + q = -5. Suppose -j*o + o + 12 = 0. What is the remainder when o is divided by 3?
1
Suppose 3*c = b + 25, 4*b - 2*c + 14 = -36. Calculate the remainder when 13 is divided by (-8)/8 - (b + 1).
5
Let b(x) = 2*x**2 - 17*x + 7. Calculate the remainder when 55 is divided by b(9).
7
Let l(r) = -r**3 + 5*r**2 + 2*r - 5. Let h = 12 + -6. Let y(b) = b**2 - 6*b + 5. Let g be y(h). Calculate the remainder when 8 is divided by l(g).
3
Let c(j) = 3*j**2 + 2*j + 5. Let k be c(4). Suppose -62 = -3*w + k. Calculate the remainder when w is divided by 14.
13
Let z = 15 + 2. Let g = -3 + 2. Calculate the remainder when z is divided by g*(-1 - 0) - -9.
7
Let v = 46 + -19. Suppose 0 = j - 4*j + 21. Calculate the remainder when v is divided by j.
6
Suppose 3*h + 5*p - 18 = 0, -5*p - 15 + 0 = 0. Let m = -10 + 10. Suppose -2*t - 29 = -5*r + 31, r - 5*t + h = m. What is the remainder when r is divided by 4?
2
Let d = 320 + -213. Calculate the remainder when d is divided by 36.
35
Let f = -1 - 3. Let b be (2/f)/1*-2. Let w = 2 + b. What is the remainder when 8 is divided by w?
2
Suppose x + 0 = 4. What is the remainder when (0 - (-2)/(-6))*-18 is divided by x?
2
Let j(f) = 3*f**2 - f + 3. Let w be j(-6). Suppose 4*a = 5*x + w, -2*a + 46 = -5*x - 25. Calculate the remainder when a is divided by 5.
3
Let k(b) = -b**2 - 8*b - 3. Suppose -2*z - 6 = h, 4*z + 4*h + 16 = -0. What is the remainder when z + -1 + (-5 - -43) is divided by k(-3)?
11
Let u(j) = j**3 - 10*j**2 + 2*j + 12. Let w be u(10). Calculate the remainder when 37 is divided by ((-30)/(-4))/(24/w).
7
Suppose -22*x + 16*x = -78. Calculate the remainder when 33 is divided by x.
7
Let s = 321 + -208. Calculate the remainder when s is divided by 57.
56
Let n = 16 + -14. What is the remainder when 3 is divided by n?
1
Let c(l) = -l**2 + 3*l + 4. Calculate the remainder when ((-1)/2)/(1/(-16)) is divided by c(3).
0
Let t(l) = 12*l**2 + 5*l - 4. What is the remainder when t(4) is divided by 42?
40
Let w = -2 - 3. Suppose -b + 0*b + 6 = 0. Let r = b + w. Calculate the remainder when r is divided by 1.
0
Let n(r) = 3*r. Suppose 5*a - 19 = 21. Calculate the remainder when 93 is divided by n(a).
21
Let l(f) = -f**3 + 6*f**2 - f - 6. Calculate the remainder when l(5) is divided by 9.
5
Suppose -2*p - 5*l = -4, -p - 1 = 4*l - 3. Suppose q = -p*q + 39. Calculate the remainder when (-2)/1 - 8*-5 is divided by q.
12
Let w = 27 - 12. Suppose -3*i = 2*a - 31, i + 5*a - 2*a - w = 0. Suppose 10 = -2*f + 4*f. Calculate the remainder when i is divided by f.
4
Suppose -2*q + 52 = o - 2*o, -q - 2*o = -36. What is the remainder when q is divided by 15?
13
Suppose -3*b = -5*a + 56 - 13, 0 = 4*b + 5*a + 34. Let u = b - -49. Suppose 0 = -2*p + 8 + 18. Calculate the remainder when u is divided by p.
12
Let m = 10 - 2. What is the remainder when 29 is divided by m?
5
Suppose 5*p - 2*q - 26 = 8, 3*p - 3*q = 15. Suppose m = -4*z - 9, -2*m - 3*z = m. What is the remainder when p is divided by m?
2
Let g = 28 - 20. Let x = g + -1. What is the remainder when 12 is divided by x?
5
Suppose -3*l = -5*u - 5*l + 8, 5*u + 4*l - 6 = 0. Suppose u*v + 0*q - q = 15, 0 = 4*v + 4*q - 12. What is the remainder when 16 is divided by v?
4
Suppose 2 = 3*g - 13. Calculate the remainder when 7 is divided by g.
2
Let n(g) = -6*g + 1. Let s(t) = t + 3*t + 19*t**2 - 18*t**2 - 7. What is the remainder when s(-9) is divided by n(-2)?
12
Suppose 4*g = 3*g - 2. Let y = g - -7. Let u = -8 - -21. Calculate the remainder when u is divided by y.
3
Suppose -3*u - 354 = -6*u. Let h = u + -84. Suppose -21*s + 16*s + 45 = 0. Calculate the remainder when h is divided by s.
7
Let a(b) = b**2 - 5*b - 9. Suppose -5*o + 0*o = -2*s + 19, 0 = -5*s + 4*o + 39. What is the remainder when 16 is divided by a(s)?
1
