 by a.
1
Suppose 8*j - 297 = -j. Let q = 17 + -8. Calculate the remainder when j is divided by q.
6
Let j(v) be the second derivative of 5*v**3/6 + 3*v. What is the remainder when j(7) is divided by 12?
11
Suppose -15 = -3*w, 2*b + w - 35 = 4*w. Let x(l) = -l**2 + 8*l + 2. Calculate the remainder when b is divided by x(7).
7
Let m be 1/(6/(-141))*2. Let y = m + 67. Calculate the remainder when (-1233)/(-21) + (-4)/(-14) is divided by y.
19
Let g be 1/5 + 24/5. Let q = -1 + g. Suppose -26 = -2*b - 4. Calculate the remainder when b is divided by q.
3
Suppose w = 1 + 4. What is the remainder when w is divided by 3?
2
Suppose 8*c - 28 = 6*c - 4*d, d = 3*c - 49. Calculate the remainder when 53 is divided by c.
5
Let p = -22 + 76. What is the remainder when p is divided by 13?
2
Let k(p) = p**2 - 9*p + 12. Let h be k(9). Let q = 7 + 27. Let n = q - h. What is the remainder when n is divided by 8?
6
Suppose -l + 6*l - 140 = 0. Calculate the remainder when l is divided by (-96)/(-9) + (-6)/9.
8
Suppose 0 = -2*r - 10, 34 = 5*n - 2*r - 6. Suppose 1 - 13 = v. Let i = v - -35. Calculate the remainder when i is divided by n.
5
Suppose 9 = 4*y - 91. Suppose 0 = -5*m + 4*j + 41, -5*j = -2*m + m + y. What is the remainder when 7 is divided by m?
2
Calculate the remainder when 172 is divided by -1*82*(-3)/6 - -3.
40
Suppose 4*q - 23 = -2*b + 5*q, -q = 3*b - 47. Let z(f) = f**2 + 11*f + 13. Calculate the remainder when z(-13) is divided by b.
11
Suppose -2*o - 3*b + 259 = 0, 3*o + b - 617 = -218. Suppose -o = -l - l. What is the remainder when l is divided by 17?
16
Let p(q) = -q - 1. Let t be p(-2). Let n(w) = w - t - 1 + 3 + 7*w**2. What is the remainder when n(-2) is divided by 14?
13
Let v = 1 - -3. Suppose -r - 4*y = -34, -v*r + 51 = -0*y - y. Let j = -6 + 33. Calculate the remainder when j is divided by r.
13
Suppose -t - t + 16 = 0. Suppose t*d - 6*d = 70. What is the remainder when d is divided by 12?
11
Let x be (10/(-4))/((-5)/110). Suppose 0*s - x = -5*s. What is the remainder when 19 is divided by s?
8
Let a be (-2)/(1 - 5/7). Let y = -4 + 6. What is the remainder when (-66)/(-14) + (-2)/a is divided by y?
1
Let p(f) = 7*f + 2. Let a(k) = 13*k + 3. Let c(v) = 4*a(v) - 7*p(v). Calculate the remainder when 31 is divided by c(6).
15
Let u(x) = x**3 + 4*x**2 - 2*x - 6. Let w be u(-4). Suppose 0 = k - w*k + 6. Suppose k*t - 40 = 2*t. Calculate the remainder when t is divided by 6.
4
Suppose h - 2 + 0 = 0. Calculate the remainder when 7 is divided by h.
1
Let c = 38 + -19. Let l = 60 - c. Calculate the remainder when l is divided by 14.
13
Let p be (8/10)/((-8)/(-20)). Calculate the remainder when p/3 - 2380/(-30) is divided by 27.
26
Let l = -1 + 11. What is the remainder when 48 is divided by l?
8
Suppose -5*v + 5*l = -65, 3*v - 5 = 2*v - 3*l. What is the remainder when 21 is divided by v?
10
Let n be 2 + -4 + (2 - -38). Suppose w + n = 3*w. Suppose 0*z = 2*z - 108. Calculate the remainder when z is divided by w.
16
Let f be (9/6)/((-1)/38). Suppose 2*j - 6*w - 18 = -4*w, 3*j - 31 = -w. What is the remainder when f/(-2) - 5/j is divided by 10?
8
Let a = 17 - 12. Let r = -8 - -16. What is the remainder when r is divided by a?
3
Let n = 59 - 37. Calculate the remainder when 42 is divided by n.
20
Suppose 25 = 5*y - d, -4*d - d + 49 = 4*y. Calculate the remainder when 3/(-1)*(-96)/18 is divided by y.
4
Suppose 3*s - 123 - 42 = 3*k, -241 = -4*s - 3*k. What is the remainder when s is divided by 30?
28
What is the remainder when 93 is divided by (21 - ((1 - -4) + -2)) + 1?
17
Let d(k) = 4*k**2 - 8*k + 8. Suppose 44 - 16 = 2*z. Calculate the remainder when d(4) is divided by z.
12
Let g be (-4 - -4)/(-1 - 0). Suppose 4*m - 5*m = g. Let a(p) = -p**2 - p + 2. Calculate the remainder when 5 is divided by a(m).
1
Let l(p) = -p**3 + 11*p**2 + p - 46. What is the remainder when l(10) is divided by 10?
4
Let r = 118 - 111. What is the remainder when 55 is divided by r?
6
Suppose 2*h - 24 = -4*q, 13 = 3*h + 5*q - 18. Suppose h*a = -2 + 6. Suppose 3*r + 4 = -8, 3*j + a*r = 154. Calculate the remainder when j is divided by 14.
12
Suppose 0 = y - 5 + 1. What is the remainder when 13 is divided by y?
1
Suppose -2*p + 6*v - 2*v = 8, -4*p + 4*v - 4 = 0. Suppose 2*q - 22 = -2*t, 57 = 3*q + p*t - 5*t. Calculate the remainder when 42 is divided by q.
12
Let a = -2 - -7. Suppose 0*u + s = u - 13, -1 = -u - a*s. What is the remainder when 21 is divided by u?
10
Let l = -44 + 80. Suppose -151 = -z - l. What is the remainder when z is divided by 29?
28
Suppose -r = 11 - 18. Calculate the remainder when r is divided by 4.
3
Suppose 2*i + 2*i = 204. Suppose -f = 3*g - 50 + 11, 5*f = 0. What is the remainder when i is divided by g?
12
Let l(a) = -a**2 + 7*a + 11. Let p be l(8). Suppose -5*o + 46 = p*t, 5*o + 2*t - 64 = 5*t. What is the remainder when o is divided by 3?
2
Suppose 5*s - 7 = -2. What is the remainder when s is divided by 1?
0
Suppose 0 = 4*l + l - 65. Let f(p) = -2*p - 8. Let o be f(-7). Suppose -o = -4*z - 18, -4*v + z = -31. What is the remainder when l is divided by v?
6
Let d = -4 + 19. What is the remainder when (-86)/(-4)*5*2/5 is divided by d?
13
Let n = 82 - 40. Calculate the remainder when n is divided by 11.
9
Suppose 5*k + 46 = 7*k. Calculate the remainder when k is divided by 6.
5
Let d(m) = 7*m - 4. Let c(i) = -6*i + 3. Let s(z) = 5*c(z) + 4*d(z). Suppose 4*j + b + 14 = 0, -2 + 1 = j - b. What is the remainder when 13 is divided by s(j)?
3
Suppose -3*a = -0*a - 18. Calculate the remainder when (-425)/(-20) - 3/12 is divided by a.
3
Suppose 0 = -3*l + 52 - 1. Calculate the remainder when (-4)/14 + 219/7 is divided by l.
14
Let r be (2 - 2/3)*-3. Let b(x) = -5*x - 3. Calculate the remainder when b(r) is divided by 6.
5
Let g(w) = 5*w**2 - 5*w - 2. What is the remainder when g(-2) is divided by 16?
12
Let c(p) = -12*p - 1. What is the remainder when c(-4) is divided by 16?
15
Let b = 78 + -53. Calculate the remainder when 47 is divided by b.
22
Suppose 143 = 5*a - 307. What is the remainder when a is divided by 31?
28
Suppose -2*y + 18 = -3*m, y - 3*m = -0*y + 6. Suppose 2*h = -t - y, -t - 3*t - 2*h - 24 = 0. Let o = t + 6. Calculate the remainder when 4 is divided by o.
0
Suppose 2*s = -4*h - h + 47, 21 = 2*h + 3*s. Let x(c) = c + 16. Calculate the remainder when x(0) is divided by h.
7
Suppose -5*g - 42 = -5*j - 2, 4 = j + 3*g. Suppose -3*q + 2 = -t - 0*q, -2*t + 3*q = -11. What is the remainder when t is divided by j?
6
Let l be (2 - 2) + (-3)/(-3). Calculate the remainder when 50 is divided by 1/l*(-3 + 20).
16
Let b(l) = -l**3 - 9*l**2 + 11*l + 13. Calculate the remainder when b(-10) is divided by 2.
1
Let h(j) = j**2 + 3*j - 6. Calculate the remainder when 45 is divided by h(3).
9
Let n(g) = -g**3 - 18*g**2 - 3*g - 40. Calculate the remainder when 20 is divided by n(-18).
6
Let s(y) = -y**3 - y**2 + 3*y + 2. Let o be 0 - -3*(1 - 2). Let b be s(o). Suppose b + 3 = x. What is the remainder when 39 is divided by x?
11
Let g = -12 - -12. What is the remainder when 57 is divided by 0 - (g - 40)/2?
17
Suppose 3*c + 443 = x - 33, 2*x = 4*c + 946. Suppose -4*w + j + x = -w, 2*j - 2 = 0. Suppose 3*o + 0*o = w. Calculate the remainder when o is divided by 18.
16
Let z be (-26 + 0)/((-6)/3). Suppose -4*m = -z - 3. Suppose 0 = -3*d - 0*d + 27. Calculate the remainder when d is divided by m.
1
Suppose -3*o = -k - 334, 3*k = -5 - 7. What is the remainder when o is divided by 28?
26
Let c(w) = w**2 + 20*w - 66. Suppose 2*p + 4*o + 2 = 0, 5*p + 16 = 4*o + 81. Calculate the remainder when p is divided by c(-23).
0
Let m = 30 + -14. Let u = 31 - -14. What is the remainder when u is divided by m?
13
Suppose 4*l - 60 = 36. Calculate the remainder when 45 is divided by l.
21
Suppose 5*p - 28 + 8 = 0. What is the remainder when 37 is divided by p?
1
Let i be (-9)/2 - (-3)/(-6). Let p(d) = -10*d - 1. Suppose -3 = u - 4*t, -2*u + 3*u - 5*t + 8 = 0. Calculate the remainder when p(i) is divided by u.
15
Suppose -4*x = -2*x - 4, -3*a + 11 = -2*x. What is the remainder when 19 is divided by a?
4
Suppose 0 = -0*l - 2*l + 4. Let z = l + 1. Suppose 3*h - 21 = -5*x + 5*h, 1 = -x + z*h. What is the remainder when x is divided by 3?
2
Suppose 7*d - 3*d - 48 = 0. Let s(x) = 4*x - 7. 