
Suppose -37 = -5*y - 4*c - 12, 4*c = -20. What is the remainder when 89 is divided by y?
8
What is the remainder when 11/((-22)/68)*(-5)/2 is divided by 22?
19
Suppose z = 5*z - 12, -n - 5*z + 45 = 0. Calculate the remainder when 115 is divided by n.
25
Suppose -3*j - 21 = -6*j. Suppose 8*u + 5 = 101. Calculate the remainder when u is divided by j.
5
Let w(p) = p**2 - p + 9. Let o be (4 - 15)*3 - -1. What is the remainder when 4/o - (-274)/16 is divided by w(0)?
8
Suppose 3*m + 0 = 42. What is the remainder when 36 is divided by m?
8
Let w = 23 - -130. Suppose 5*i = 4*a + w, i - 2*a - 27 = 6. Calculate the remainder when i is divided by 16.
13
Let t(d) = d**2 - 3*d + 3. Let h(s) be the third derivative of -s**4/24 + 11*s**3/6 - 2*s**2. Let i be h(7). Calculate the remainder when 19 is divided by t(i).
5
Calculate the remainder when (-13)/39*69/(-1) is divided by 5.
3
Suppose 0 = 5*l + 213 + 12. Let q = -16 - l. What is the remainder when q is divided by 8?
5
Let w(o) = o**2 + 13*o - 33. Calculate the remainder when 43 is divided by w(-16).
13
Let z = 182 - 162. What is the remainder when 77 is divided by z?
17
Let p = 0 - -1. What is the remainder when (-12)/9*p*-15 is divided by 7?
6
Suppose -7*y + 2*y + 215 = 0. Calculate the remainder when y is divided by 9.
7
Let l(a) = a. Let t be l(-6). Calculate the remainder when 68 is divided by (-2)/(-6) - 82/t.
12
Suppose -5*i = -z - 170 + 6, -4*z - 95 = -3*i. Suppose a + 5*n = 32, 2*a = -0*a - n + 37. What is the remainder when i is divided by a?
16
Suppose g - 2 = 5*n, n + 2*n = -5*g - 46. Let y = g + 18. What is the remainder when 17 is divided by y?
7
Let i be ((-6)/(-9))/((-2)/(-39)). Suppose -i - 15 = -2*f. Suppose c - 5 = -0*c. Calculate the remainder when f is divided by c.
4
Let a(y) = 5*y - 5. Let n = -42 - -62. Suppose -3*q + n = -19. What is the remainder when a(6) is divided by q?
12
Let u = 0 + 14. Let w = -7 + 7. Suppose w = -2*v - v + 120. Calculate the remainder when v is divided by u.
12
Suppose -n + 1 = 3. Let k(x) = 4*x - 4. What is the remainder when k(6) is divided by 1/((-26)/14 - n)?
6
Suppose 0 = 4*k - 42 - 54. What is the remainder when k is divided by 14?
10
Let n(r) = 4*r. Let c be n(1). Suppose 4*x - 15 = -3*z + c, -3*x + 18 = z. Calculate the remainder when x is divided by 4.
3
Let d(t) = -22*t - 1. Suppose 2*o - 3*y = 22, 55 = 3*o - 0*o + y. What is the remainder when d(-3) is divided by o?
14
Let c = 35 + -25. Let s = c + -3. Calculate the remainder when 13 is divided by s.
6
Suppose -3*v = -39 - 54. Suppose f = -r + 3, v = 3*f - f - 3*r. What is the remainder when 13 is divided by f?
5
Suppose -3*j + 151 = 5*a, 2*a + 3*j + 52 = 4*a. What is the remainder when 85 is divided by a?
27
Suppose y + 114 = 3*y. Let d(u) = -u**2 + 11*u - 9. What is the remainder when y is divided by d(8)?
12
Let h(t) be the third derivative of t**4/24 - t**3/3 + 3*t**2. Let m be h(4). Suppose 3*i - 55 = -m*i. Calculate the remainder when 20 is divided by i.
9
Suppose 4*m + 28 = q - 3*q, -m = 5*q + 16. Let b = 9 + m. What is the remainder when 10 is divided by b?
1
Let b = -15 + 11. Suppose -3*m + 11 = -31. Calculate the remainder when ((-82)/b)/(2/4) is divided by m.
13
Suppose 0 = -3*d + 16 + 146. Calculate the remainder when d is divided by 19.
16
Suppose k + 0*k - 34 = 0. Let d be ((-6)/(-8))/((-2)/(-8)). Suppose d*p - 10 = 17. Calculate the remainder when k is divided by p.
7
Suppose 0 = -4*q - 2*c + 32, -2*c - 39 = -5*q - 5*c. Calculate the remainder when q is divided by 6/(3*6/9).
0
Let a(k) = 2*k + 1 + 4 - 4. Let d be a(2). Suppose 0 = -d*r + 10, -2*w - r = -6*r - 6. What is the remainder when 23 is divided by w?
7
Suppose 4*x - 10 = 2*x. Let u = -5 + x. Suppose -2*s + 351 = 5*l + 130, u = -l + 3*s + 34. Calculate the remainder when l is divided by 22.
21
Suppose n = -0*n + 9. Let d = 16 + 1. Calculate the remainder when d is divided by n.
8
Let o(h) = h**2 + 2*h - 1. Suppose 0 = a + 4*a + 25. Suppose 2*z + 6 - 88 = 0. What is the remainder when z is divided by o(a)?
13
Suppose -12 = -4*p - 4. Let b = 5 - 2. What is the remainder when b is divided by p?
1
Suppose 0 = t + 4*t + 2*v - 30, -5*t + 3*v + 30 = 0. Suppose -2*q = -3*q + 21. Calculate the remainder when q is divided by t.
3
Suppose -3*s + 4*s = 33. What is the remainder when 164 is divided by s?
32
Let r(k) = -k**3 + k + 19. Calculate the remainder when r(0) is divided by 12.
7
Let h(s) = -2*s**2 + 23*s - 4. Let p be h(11). Let c(b) be the first derivative of b**2/2 + 6*b - 2. Calculate the remainder when 23 is divided by c(p).
10
Let x = 6 + 4. Suppose 5*n + 12 = 3*g, 2*g = -2 + x. Calculate the remainder when 21 is divided by (-3 - n)*33/(-9).
10
Let u(h) = -h - 1. Let b be u(-10). Suppose -3*l - b + 39 = 0. Calculate the remainder when l is divided by 6.
4
Let l(s) = -26*s - 2. Let r be l(-2). Suppose 0 = 10*b - 5*b - r. What is the remainder when 38 is divided by b?
8
Suppose 9*i - 85 = 4*i. Let u(a) = 7*a - 20. Calculate the remainder when u(10) is divided by i.
16
Let w = -11 - -19. Let t(j) = j**3 + 4*j**2 - 6*j - 4. Let q be t(-5). Let p = q + w. What is the remainder when 25 is divided by p?
7
Let d = 20 + -9. Suppose -33 = 3*o + 3. What is the remainder when d is divided by (o/(-14))/(6/42)?
5
What is the remainder when 2/((3 - (-13)/(-4))*-1) is divided by 6?
2
Let m be (-10)/(-4) - 2/(-4). Suppose -m*t = -55 + 19. What is the remainder when t is divided by 7?
5
Suppose 4*l + 5*r = 80, l - 4*l + 4*r + 29 = 0. Suppose -g - 5*a = -22, 5*g + 1 - l = -a. Let j(q) = q + 1. What is the remainder when j(3) is divided by g?
0
What is the remainder when 33 is divided by 34/3*(-12)/(-8)?
16
Let c be (-2)/(-8) - 395/(-20). Suppose -4*b + 4 = c. Let d(g) = -g**3 - 5*g**2 - 6*g - 6. Calculate the remainder when 3 is divided by d(b).
1
Let v be ((-9)/3)/(9/(-12)). Suppose c - 20 = -l - l, v*l = 4*c - 20. Calculate the remainder when c is divided by 4.
2
Let j be 1/(-3)*(-10 - -4). Suppose -k - j*k + 123 = 0. Calculate the remainder when k is divided by 11.
8
Let v = 27 + -11. What is the remainder when (-443)/(-7) - 14/49 is divided by v?
15
Let y = 6 + 4. Calculate the remainder when 28 is divided by y.
8
Let b = -162 - -171. What is the remainder when 14 is divided by b?
5
Suppose -3*g + 12 = 2*y + 2*y, g - 6 = -2*y. Suppose 0*f + 36 = y*f. What is the remainder when 23 is divided by f?
11
Let c be (-2)/3 + 1904/21. Let f = -46 + c. What is the remainder when f is divided by 15?
14
Let n(c) = -3*c + 3. Calculate the remainder when 11 is divided by n(0).
2
Suppose -25*r + 88 = -21*r. Suppose 2*u + 4*l - r = 0, 3*l - 36 = -3*u - 0*u. What is the remainder when 49 is divided by u?
10
Let n(u) = 5*u**2 + 9*u + 11. Calculate the remainder when n(-5) is divided by 31.
29
Let i = -113 + 121. Let v(s) = -16*s**3 - 1. What is the remainder when v(-1) is divided by i?
7
Let q(z) = 9*z + 3. Let f be q(3). Suppose -2*y + 7*y + 55 = 0. Let p = y + f. Calculate the remainder when 55 is divided by p.
17
Suppose 0 = -w - 2*w + 180. Suppose w = -b + 6*b. Calculate the remainder when (-24 - -1)*(0 - 1) is divided by b.
11
Let p = 92 + -84. Calculate the remainder when 23 is divided by p.
7
Let g = 41 - 9. What is the remainder when g is divided by 11?
10
Let k = -46 + 67. Calculate the remainder when 41 is divided by k.
20
Let f = -37 + 53. Suppose x - f = 10. Let b = 26 + -12. What is the remainder when x is divided by b?
12
Let c = -49 + 59. Calculate the remainder when 26 is divided by c.
6
Let m(f) = 0*f - 3 - 7*f - 2*f + f**2 + f. Let g be m(8). Calculate the remainder when (3/g)/(1/(-26)) is divided by 9.
8
Suppose -2*p - 11 = -27. Suppose -2*i + i = -p. Let y(t) = t**3 - 2*t**2 - 3*t - 5. Calculate the remainder when y(4) is divided by i.
7
Let a be (-1016)/(-22) - (-4)/(-22). Suppose 4*p - a = 2*p. What is the remainder when p is divided by 2/3 - (-44)/6?
7
Let z(m) = 8*m - 4. Suppose -5*f = f - 114. What is the remainder when z(5) is divided by f?
17
Let i(l) = -l**2 - 1. Let j(m) = m**3 + m**2 + 2*m - 2. Let p(x) = -4*i(x) + j(x). What is the remainder when 18 is divided by p(-4)?
8
Let a(g) = g**2 + g - 2*g**2 + g**3 + 5 + 0*g**2 + 5*g**2. Let h be a(-4). What is the remainder when 6/((-13)/15 + h) is divided by 16?
13
Suppose 4