e remainder when 6 is divided by m.
0
Suppose 8 = -4*s - 8. Calculate the remainder when 52 is divided by (-1*2 + s)*-3.
16
Let l(q) = -q**3 - 11*q**2 - 12*q - 8. What is the remainder when (32 - -2) + (1 - 1) is divided by l(-10)?
10
Calculate the remainder when 43 is divided by -22*(3/6 + -1).
10
Let a(l) = l**2 + 11*l + 10. Let z be a(-7). Let i = z - -46. Calculate the remainder when i is divided by 6.
4
Let r(c) = c**2 + 2*c - 7. Suppose x - 3*n = -4*x + 15, -2*n = -5*x + 10. Suppose x = -o - o + 18. What is the remainder when r(-6) is divided by o?
8
Let q = 4 + -2. Suppose -q*u + 275 = 3*u. What is the remainder when u is divided by 14?
13
Let f(j) = -j**3 + 3*j**2 + 4*j - 4. Suppose r - 21 - 2 = 0. Calculate the remainder when r is divided by f(3).
7
Let a(s) = s**3 + s**2 + 1. Let z(d) = -d**3 - d**2 - 2. Let j(c) = 4*a(c) + 3*z(c). Let b(h) = 2*h. Calculate the remainder when j(3) is divided by b(6).
10
Suppose 5*m + g + 15 = 8*m, 0 = -m - 4*g + 5. Suppose -4 = -2*u + 4*l + 8, m*u - l - 75 = 0. Calculate the remainder when u is divided by 6.
4
Let u = 7 - 2. Suppose 0 = 4*k + u*s - 51, 0*k + 33 = 2*k + 5*s. Suppose -5*q + 165 = l, -3*l + 19 = q - 0*l. What is the remainder when q is divided by k?
7
Let k(d) = -d**3 + 2*d**3 + 13 - 10*d - 10*d**2 - 2*d**3 - d. What is the remainder when k(-9) is divided by 8?
7
Let m = -19 + 32. Suppose 0 = 4*j - m - 3. Suppose -w + 2*d = -5*w + 22, 5*d = 4*w - 29. What is the remainder when w is divided by j?
2
Suppose -2*z - 144 = -4*i, -2*z + 108 = 3*i - 0*i. What is the remainder when 105 is divided by i?
33
Suppose -4*v + 135 = -v. Suppose 0 = -m + 6 + 10. What is the remainder when v is divided by m?
13
Let h(r) = -2*r. Let j be h(-2). Suppose j*t + 2 - 6 = 0. Suppose 3*k - 3 = 3. Calculate the remainder when k is divided by t.
0
Let b(r) = 6*r - 5. Suppose -5*m - 6*n + 15 = -n, -5*n = 5. What is the remainder when b(3) is divided by m?
1
Let a be (-4)/(-6)*9/(-3). Let j(q) = 2*q**2 + 2*q + 2. Calculate the remainder when 2 - (-4 + (-3 - 2)) is divided by j(a).
5
Let s(k) = 3*k - 5. What is the remainder when 0 + 8 + ((-4)/1)/(-4) is divided by s(3)?
1
Let z = 53 + -48. Let h(r) = -5*r**2 + 4*r - 3. Let m(i) = -i**2 - i + 1. Let w(d) = -h(d) + 3*m(d). What is the remainder when 62 is divided by w(z)?
20
Let q(t) = -t**3 - 9*t**2 + 10*t + 1. Let p be (12/(-9))/(8/60). What is the remainder when 2 is divided by q(p)?
0
Let q be -1 - 2 - (0 - 0). Let l be ((-26)/8)/(q/(-12)). Let m = l - -18. Calculate the remainder when 13 is divided by m.
3
Let n(b) = 3*b - 3. Calculate the remainder when 23 is divided by n(3).
5
Let h = 17 + -8. Let d(v) = 3*v**2 - 1. Suppose -2*f = 4*w + 10, -5*f - 2*w = -w + 16. Calculate the remainder when d(f) is divided by h.
8
Suppose -3*k = k - 12. Let j(w) = -w**2 + 5*w - 2. Let a be j(k). What is the remainder when a/14 + 150/14 is divided by 6?
5
Let s(n) = 3. Let o(i) = i + 6. Let w(c) = -3*o(c) + 6*s(c). Calculate the remainder when w(-2) is divided by 2.
0
Suppose -q = -3 - 0. Calculate the remainder when q is divided by 2.
1
Let x be (-3)/(-2)*72/27. Suppose -3*p + 4*p = 3*t - 35, -2*t - x*p = 0. Calculate the remainder when 18 is divided by t.
8
Suppose 8*x + 124 = 5*s + 4*x, 0 = -2*x - 2. Calculate the remainder when s is divided by 13.
11
Let f(v) = 23*v - 4. What is the remainder when f(4) is divided by 30?
28
Suppose 0 = k + 4 - 5. Let a = 0 + k. What is the remainder when 1 is divided by a?
0
Suppose 2*s - 4*c + 12 = 2, 2*s = c + 2. Let d(v) = -5*v**2 - 3 - v**3 + 0 - v - s*v + 2*v**2. Calculate the remainder when d(-2) is divided by 1.
0
Suppose 0 = -5*v - 2*g + 147, 4*v - 2*g - g - 136 = 0. Calculate the remainder when 91 is divided by v.
29
Let q = -8 - -17. Suppose -7 - 5 = -5*f - 4*d, 3*f - 3*d + 9 = 0. Calculate the remainder when 21 is divided by f + -1 + q + 3.
10
Suppose -5*z - 86 = -h - 258, 0 = -5*z + 3*h + 176. Calculate the remainder when z is divided by 21*(3 + (-15)/9 + -1).
6
Let l(n) = -6*n - 17. Calculate the remainder when 50 is divided by l(-5).
11
Let k(w) = -w**3 - 8*w**2 - w - 11. Let q be k(-8). Let x(m) = 5*m + 2. Calculate the remainder when x(4) is divided by (q + -13)*(-3)/4.
10
Suppose 3*u + 179 = 4*l, -5*l + u = -312 + 102. What is the remainder when 163 is divided by l?
40
Let u = 23 - 15. What is the remainder when u is divided by 2?
0
Suppose 44 = 3*p + p - 4*j, -4*p - 5*j + 17 = 0. Let o(s) = s + 49. Calculate the remainder when o(-18) is divided by p.
7
Let t(q) = 2*q**2 - 38*q + 8. What is the remainder when t(20) is divided by 25?
23
Let o(d) = -d**3 - 6*d**2 - 2*d + 4. Let i be o(-6). Let m be ((-10)/3)/((-4)/6). Suppose 3*s - m*s = -i. What is the remainder when 14 is divided by s?
6
Let o(j) = -2*j**3 + j**2 + j. Calculate the remainder when 66 is divided by o(-2).
12
Let j = -16 - -23. Let q(t) = 7*t + 2. Let r(c) = -13*c - 5. Let i(n) = 11*q(n) + 6*r(n). Calculate the remainder when j is divided by i(-11).
1
Suppose -w + 4 = 5*m, -5*w + 0*m - 3*m + 20 = 0. Let k(j) = j**2 - 2*j + 3. Let b be k(w). Suppose l - 2 = b. What is the remainder when 38 is divided by l?
12
Suppose 2*l + 2*z - 6 = 0, 11 = -0*l + 3*l + 2*z. Let t be (21/14)/(6/20). Let i = 7 - t. What is the remainder when l is divided by i?
1
Let v be 1*11 + 10/10. Suppose -j = 2, -i + 5*j + v = -11. Calculate the remainder when i is divided by 8.
5
Let d be 4*((-6)/4 + 2). Suppose -4*a = -d*a - 20. Let j = 22 + -3. Calculate the remainder when j is divided by a.
9
Let g = 1 - -6. Suppose 0 = n - 3, 0 = -5*a + 2*n + 3*n + 75. Calculate the remainder when a is divided by g.
4
Let t = 157 - 99. Calculate the remainder when t is divided by 20.
18
Let w = 7 - 3. Suppose -x + 20 = w*x. Suppose 4*n + x + 0 = 4*b, -b - 5*n = -25. Calculate the remainder when b is divided by 3.
2
Let j(x) = x**2 - 7*x + 3. Let d be j(6). Let r = 5 + d. Calculate the remainder when 3 is divided by r.
1
Let i(u) = 2*u**2 + 10*u - 15. Calculate the remainder when 22 is divided by i(-7).
9
Suppose 0 = -b - 3*s + 10 + 21, 2*s = 5*b - 172. Suppose -u = -2*u - 33. Calculate the remainder when b is divided by 1 - 0 - u/3.
10
What is the remainder when 65 is divided by 37/2 - (-30)/(-20)?
14
Suppose -2*m + 12 = 4*x - 14, 5*m - 3*x = 91. Calculate the remainder when m is divided by 16/3 + 2/3.
5
Suppose 0 = 2*w - 2 - 2. Let f(v) = v**3 - 2*v**2 + v + 1. Let d be f(w). Suppose 27 = d*h - 0*h. Calculate the remainder when h is divided by 5.
4
Let w = -42 + 71. What is the remainder when w is divided by (-39)/(-4) - (-2)/8?
9
What is the remainder when 89 is divided by -3 - (-13*1 + -6 + 3)?
11
Let t(m) = -m**2 + 5*m + 6. Let j be t(8). Let r = -2 - j. Calculate the remainder when r is divided by 6.
4
Suppose 0 = -3*p - 6. Let q(c) = -2*c + 1. Let w be q(p). Calculate the remainder when 14 is divided by (-9)/(-3)*w/3.
4
Let o(n) = 5*n**2 + 2*n + 16. What is the remainder when 217 is divided by o(-3)?
52
Let y = 11 - 7. Suppose y*j - 2*j = 40. What is the remainder when (39/2)/((-2)/(-4)) is divided by j?
19
Let w be (4 + -11)/((-2)/4). Let t = 23 - w. What is the remainder when 25 is divided by t?
7
Let a = 25 + 37. What is the remainder when a is divided by 21?
20
Let q(l) = l**3 - 6*l**2 + 3*l - 5. Suppose 0*p - 3*p - c + 62 = 0, 0 = 4*p - 4*c - 72. Let x = 30 + p. Calculate the remainder when x is divided by q(6).
11
Suppose y = -3*y + 56. Calculate the remainder when 31 is divided by (7/y)/((-2)/(-44)).
9
Let o(y) = -y**3 + 9*y**2 - 8*y + 4. Let b be o(8). Suppose -n = -0 - b. Calculate the remainder when 6 is divided by n.
2
What is the remainder when 137*(1 - (-4)/4) is divided by 46?
44
Let l = -14 + 20. Calculate the remainder when 10 is divided by l.
4
Suppose 4*m - 12 - 64 = 0. Suppose -97 = -4*x + 127. What is the remainder when x is divided by m?
18
Suppose -1 + 113 = 7*c. Calculate the remainder when 63 is divided by c.
15
Suppose 4*g - 8 = -0*g, 0 = l - 2*g - 12. Suppose -2*a = -0*a + 24. Let s = 18 + a. Calculate the remainder when l is divided by s.
4
Let n = 109 - 76. Let d be ((-3)/(-6))/((-1)/(-20)). Calculate the remainder when n is divided by (-3 - -1)/(-1) + d.
9
Suppose -4*r + 5*r - 4 = 0. Suppose -t = 3*p, t + r*t - 12 = -3*p. What is the remainder when 4 is divided by