remainder when 20 + 1 + 0 + 2 is divided by 12?
11
Suppose -r + 27 = c, 3*r + 2*r - 117 = c. What is the remainder when 95 is divided by r?
23
Suppose -4*v = -2*o + 3*o - 238, -4*v - 3*o = -242. Let x = 1 - 11. Let s = x + 30. Calculate the remainder when v is divided by s.
19
Let o(u) = -u**3 + 3*u**2 + 2*u + 1. What is the remainder when o(-2) is divided by 10?
7
Let w = 1 + 9. What is the remainder when 49 is divided by w?
9
Let h(m) = -m**2 + 6*m. Let q be h(5). Suppose -x - f - 7 = -3*f, -q*x + 1 = -f. What is the remainder when 39/(-26) + 10/4 is divided by x?
0
Suppose 0*i + 4 = 4*i. Suppose -i = -2*y + 7. What is the remainder when 5 is divided by y?
1
Let j(p) = -p**3 - 3*p**2 + 8*p + 3. Suppose 13 + 13 = b - 4*t, -5*t + 167 = 4*b. What is the remainder when b is divided by j(-5)?
12
Suppose -92 = -5*v + v. Suppose -v = -2*o + 5. What is the remainder when 53 is divided by o?
11
Suppose -7*g + 160 = -3*g. Calculate the remainder when g is divided by 9 + (2 - 0) - 0.
7
Suppose -5*v = -z - 139, 5*v - 2*z = -4*z + 127. Calculate the remainder when v is divided by (-8)/(-10)*2/(8/50).
7
Suppose 5*d - 2 - 23 = 0. Suppose 5*q = d*h - 95, -5*h + 3*h + q + 36 = 0. Calculate the remainder when 66 is divided by h.
15
Suppose -2*g + q + 44 = -3*q, 5*q = 0. Calculate the remainder when 87 is divided by g.
21
Let a = -14 - -36. Calculate the remainder when 85 is divided by a.
19
Suppose -2*w - 87 = -5*w. Let p(s) = -s**3 + 6*s**2 + 9*s + 1. Calculate the remainder when w is divided by p(7).
14
Suppose 4*k + 44 = -5*r + 3*r, 1 = -k. Let q be (-5)/r + 33/(-4). Let d = q + 21. Calculate the remainder when d is divided by 5.
3
Let x = -7 + 30. Let s(j) = -j**2 + 4*j + 12. Calculate the remainder when x is divided by s(4).
11
Let i(z) = 0*z**2 - 7 - 3*z + 12*z**2 - z**3 - 6*z. Let u be i(11). Suppose t = -2*t + u. What is the remainder when 9 is divided by t?
4
Suppose 178 = 2*y + 38. What is the remainder when 4*(-1)/(4/(-19)) is divided by (y/(-21))/(1/(-3))?
9
Suppose 3*m - 2*m - 6 = 0. Let d(h) = 2*h**2 - 8*h + 7. What is the remainder when d(m) is divided by 16?
15
Suppose 2*q + 3*s - 91 = -2*s, -2*q + s = -61. What is the remainder when q is divided by 14/4*(-24)/(-7)?
9
Suppose 0 = 4*z + 43 - 131. Calculate the remainder when z is divided by 11.
0
Let k = -110 - -156. Suppose -2*m = -h + 53, 0*h - h + k = 5*m. What is the remainder when h is divided by 18?
15
Suppose i - 22 = -5*d, d + 0*i - 8 = i. Suppose -4*h = 2*v + 16, 2*v - h = d + 4. Suppose -v*c = -2 - 6. Calculate the remainder when 11 is divided by c.
3
Suppose -85 = -2*w - 3*w. Let b = w + -12. What is the remainder when 9 is divided by b?
4
Let m(z) = z + 22. Calculate the remainder when 56 is divided by m(-7).
11
Suppose -2*i + 362 = -3*o, 0 = -o - 3 + 1. Suppose i + 244 = 2*c. Suppose 3*w + 61 = 4*w + 4*d, -c = -4*w - 5*d. What is the remainder when w is divided by 17?
15
Let p(v) = v**3 - 9*v**2 - v + 13. Calculate the remainder when 6 is divided by p(9).
2
Let m = 1 - -4. What is the remainder when (-6)/(-15) - (-308)/m is divided by (-6)/8*3/((-15)/140)?
20
Suppose 3*f + 21 = 3*l - 30, -4*l + 71 = -5*f. Let t = -10 + l. Suppose t*m + 2 = 2*w - 34, -2 = w + 2*m. Calculate the remainder when 23 is divided by w.
7
Let f(c) = -2*c**2 - 2*c - 2. Let t be f(-2). Let m(n) = n**2 + 3*n + 5. Suppose 0 = -5*q - 19 + 59. Calculate the remainder when m(t) is divided by q.
7
Let t(k) = k + 16. What is the remainder when t(0) is divided by 9?
7
What is the remainder when -6*(35/2)/(-7) is divided by 5?
0
Let r(s) = -s**2 - 7*s - 1. What is the remainder when 25 is divided by r(-5)?
7
Let t = -2 + 39. Let i = t + -3. Calculate the remainder when i is divided by 12.
10
Let y(m) = -m**3 + 3*m**2 + 7*m + 4. Let s be y(6). Let b = 12 - s. Let k = b - 48. Calculate the remainder when k is divided by 14.
12
Suppose 6*m - 9*m + 39 = 0. What is the remainder when m is divided by 6?
1
Let l(g) = g**2 - 4*g - 5. Let j = 101 - 24. What is the remainder when j is divided by l(-3)?
13
Suppose 3*i - 42 = i - 2*m, 3*i - 3*m - 69 = 0. Let f = -18 + 26. What is the remainder when i is divided by f?
6
Let m = -2 - -4. Suppose 5*i + 27 = 5*k + 62, m*i - 9 = -3*k. What is the remainder when 17 is divided by i?
5
Let r(n) be the first derivative of n**3/3 - 9*n**2/2 - 14*n + 4. Calculate the remainder when r(12) is divided by 12.
10
Let d(a) = -a**2 + 6*a + 2. Let q(t) = -t**3 + 4*t**2 + 2*t + 7. Let w be q(5). Let f = -3 - w. What is the remainder when 20 is divided by d(f)?
6
Suppose 0 = -r + 4*r - 63. Let y = -22 + 102. What is the remainder when y is divided by r?
17
Suppose -4*j + 111 = 2*h - 3, -2*h - j = -99. What is the remainder when h is divided by 16?
15
Suppose 5*c = 3*c + 18. Let w = 9 + 16. Calculate the remainder when w is divided by c.
7
Suppose 6*u - 3*u - 9 = 0. Suppose 0*h = -u*h + 3, -3*f = -2*h - 40. Calculate the remainder when 26 is divided by f.
12
Let d = 56 - 84. Let p = d + 41. What is the remainder when p is divided by ((-50)/(-15))/(4/6)?
3
Suppose 7*l = 10*l - 63. Let f(m) = -m**3 + m**2 - m - 1. Calculate the remainder when f(-4) is divided by l.
20
Let q = 32 - -6. Suppose 4*g - 5*g = 27. Calculate the remainder when q is divided by (-2 - 1) + (-4 - g).
18
Let x = 0 - 1. Let r(f) = -2*f - 1. Calculate the remainder when 3 is divided by r(x).
0
Suppose 3*y + y = 8. Calculate the remainder when (y - 20/(-3))*3 is divided by 8/(-6)*336/(-32).
12
Suppose -d + 1 = -1. What is the remainder when 684/126 - 4/(-7) is divided by d?
0
Suppose y + y - 10 = 0. Let z be ((-6)/y)/((-2)/10). Let f(v) = 4*v - 1. What is the remainder when f(z) is divided by 12?
11
Let y = -2 - -9. What is the remainder when 27 is divided by y?
6
Suppose 7*c = 13 - 6. Calculate the remainder when 1 is divided by c.
0
Let j = -44 - -46. Suppose -3*v + 4 + 2 = 0. What is the remainder when j is divided by v?
0
Suppose t + 111 = 4*t. Suppose -t = -5*k + 18. Calculate the remainder when 21 is divided by k.
10
Calculate the remainder when (-6)/9 + (-142)/(-6) is divided by 6.
5
Suppose -3*l = 4*d - 210, d + 3*l - 28 = 20. Suppose 2*r - d + 14 = 0. Let p(x) = 29*x + 1. What is the remainder when p(2) is divided by r?
19
Suppose -y + 18 = -11. What is the remainder when y is divided by 15?
14
Let m(k) = -k. Let d be m(-4). Suppose 6*y = -y + 140. Suppose y = x + 2*n + 3, d*x - 44 = 4*n. Calculate the remainder when x is divided by 5.
3
Let a be (28 - -5) + 3/((-2)/2). Let k(b) = -b**3 + 6*b**2 + 6*b + 7. Let h be k(6). Let l = h - a. What is the remainder when 38 is divided by l?
12
Suppose -4*v + 11 = -49. Suppose -268 = -11*c + 7*c. Let m = -23 + c. Calculate the remainder when m is divided by v.
14
Let a(s) = -s**3 + 4*s**2 - 3*s + 4. Let q = 8 - 5. Let r be a(q). Suppose 0 = -r*t + 33 + 31. What is the remainder when t is divided by 9?
7
Let o = 50 + 12. What is the remainder when o is divided by 21?
20
Calculate the remainder when 20*3/(30/4) is divided by 4.
0
Let m be (3/(-9))/(2/(-66)). Let h = 1 - m. What is the remainder when 25 is divided by (-11 + 6)*26/h?
12
Let q = 15 - 6. Suppose 83 = 3*j - 2*t, 4*j + 4*t + 21 = 105. Calculate the remainder when j is divided by q.
7
Suppose -2*x + 7*x - 160 = 0. Calculate the remainder when x is divided by 7.
4
Suppose -m = m - 12. Let g(s) = -s**2 - 15*s - 8. What is the remainder when g(-11) is divided by (52/m)/((-14)/(-21))?
10
Suppose -4*k + 51 = -3*y - 2*y, 86 = 4*k + 2*y. What is the remainder when 56 is divided by k?
18
Let w(p) = p**2 + 8*p + 9. Suppose 0*t + 4*t + 40 = 0. What is the remainder when w(t) is divided by (25 + 0)*4/10?
9
Let z(q) = -q**3 + 6*q**2 - 2*q - 7. Let p be z(5). Let v be (p - 2) + (-1 - 2). Suppose -v*g - g + 32 = 0. Calculate the remainder when 23 is divided by g.
7
Suppose x - 4*x + 9 = 0. Let a = x - 3. Suppose 4*m - m - o = 31, -5*o + 10 = a. Calculate the remainder when 21 is divided by m.
10
Suppose 0 = -5*g - 3*f + f + 457, 0 = -4*g - 2*f + 366. What is the remainder when g is divided by 23?
22
Let v = -63 - -108. What is the remainder when 178 is divided by v?
43
Calculate the remainder when (-558)/(-8) + (-1)/(-4) is divided by 12.
10
Let k be ((-6)/(-4))/((-3)/(-6)). Suppose -44 = -3*x - 5*a, k*x - 3*a = 9 + 3. What is the remai