t is the remainder when t is divided by 12?
11
Let c be (-10)/6 - (-2)/(-6). What is the remainder when 35 is divided by (1 + 8)/(-1)*c?
17
Suppose -4*s + 3*s - 2 = 5*n, -5*n + s + 2 = 0. Let x be (-2)/1 + n + 2. Suppose 5*c - 29 - 76 = x. What is the remainder when c is divided by 11?
10
Suppose -10*f + 6*f = -40. What is the remainder when 107 is divided by f?
7
Suppose -5*k + 2*r + 91 = 0, 3*k + 2*r = 4*r + 53. Calculate the remainder when k is divided by 7.
5
Let u(r) be the first derivative of r**4/4 + r**3/3 - r**2/2 + 15*r + 1. Calculate the remainder when 28 is divided by u(0).
13
Let x = -7 + 50. Let b(f) = 2*f + 3. Calculate the remainder when x is divided by b(6).
13
Suppose -5*f - 3*r = -2*f, -3*r = -5*f + 40. What is the remainder when 8 is divided by f?
3
Suppose -4*m + 144 = 4*k, 3*k = -9*m + 4*m + 176. Let c = 70 - m. Calculate the remainder when c is divided by 19.
17
Let w = 30 + -7. What is the remainder when 68 is divided by w?
22
Suppose o = -4*d + 146, 0 = 4*d + 3*o - 14 - 136. Suppose l - d = -3*l. Suppose 0 = 5*u - 24 - 61. What is the remainder when u is divided by l?
8
Suppose x = -4*x + 265. Let f = 102 - x. Let h(l) = -4*l - 3. Calculate the remainder when f is divided by h(-4).
10
Let j = 6 - 3. Suppose 0 = -j*r + 22 - 1. What is the remainder when 20 is divided by r?
6
Suppose 0 = -5*z + 5*i + 15, 2*z + 3*i = -0*z + 6. Suppose 6*u + 15 = z*u. Calculate the remainder when 3/((3/u)/(-3)) is divided by 8.
7
Let k(x) = x - 2. Let g be k(4). Suppose o + 3*o + g*r - 24 = 0, o - 4 = -r. Calculate the remainder when 30 is divided by o.
6
Suppose 0 = 2*y - 2*w + 6, 4*y - w = -5*w - 36. Let u = y + 9. Suppose f = 3*m - 17 - 2, m = -3*f - 7. What is the remainder when m is divided by u?
2
Suppose 538 = 4*k + 90. Let x be (-27)/4*k/6. What is the remainder when ((-18)/21)/(3/x) is divided by 19?
17
Let y = 20 + -16. What is the remainder when (2 - -13) + (y - 3) is divided by 9?
7
Let x = -11 + 25. What is the remainder when 24 is divided by x?
10
Let k = -7 - -7. Suppose k = 2*j + 4*l - 3*l + 8, -20 = 5*j + 5*l. What is the remainder when 10 is divided by 12*(6/j)/(-3)?
4
Let g(n) = n**3 + 5*n**2 - 4*n - 6. Let i be g(-4). Let o = i - 13. Calculate the remainder when 38 is divided by o.
12
Let a be 9/(-6) + 167/2. Calculate the remainder when 22 is divided by a/10 - (-6)/(-30).
6
Let o = 15 - 0. Suppose 0*g - 2*g - 58 = 0. Calculate the remainder when -1*(-1 + 2)*g is divided by o.
14
Let r(y) = y**2 - 3 + y**2 - y**2 + y. What is the remainder when 15 is divided by r(3)?
6
Let k = -19 - -23. Calculate the remainder when k is divided by (-2*2)/(1*-2).
0
Let t be (-200)/12*1*-3. Suppose -3*h + 7*y - 2*y + t = 0, -h + 4*y + 26 = 0. Let d = -12 - -40. What is the remainder when d is divided by h?
8
Let y = -5 + 5. Suppose 0 = -q - y*q. Let z = 6 + q. What is the remainder when z is divided by 4?
2
Suppose -5*x = -5*u + 30, 4*x + 2 + 19 = 3*u. Calculate the remainder when u is divided by 3.
0
Let w = 22 + -13. Let d(z) = z**2 + z - 1. Let j(m) = 5*m**2 - 5*m - 11. Let v(b) = 4*d(b) - j(b). Calculate the remainder when v(w) is divided by 4.
3
Suppose 0 = 4*c - c - 15. Suppose 0*t - 40 = -c*t. Calculate the remainder when 14 is divided by t.
6
Suppose 0 = 4*u + 3*i - 27, -6*i + 3 = -3*i. Calculate the remainder when 24 is divided by (-108)/u*(-2)/4.
6
Let p(a) = -a**2 + 14*a - 12. Calculate the remainder when 59 is divided by p(12).
11
What is the remainder when 70 is divided by 3/((-81)/(-735)) + (-12)/54?
16
Let h(s) = 6*s**3 - 2*s + 1. What is the remainder when (-7 + 0)*(1 - 3) is divided by h(1)?
4
Let a be 7 - 6*(-3)/6. Suppose -14*j = -13*j - a. Calculate the remainder when j is divided by 4.
2
Let s(y) = 19*y**2 - y - 1. What is the remainder when 73 is divided by s(-1)?
16
Let g(m) be the first derivative of -m**4/4 + 2*m**3 - 3*m**2/2 - 5*m + 3. Calculate the remainder when 9 is divided by g(5).
4
Suppose -3*r = -2*p + 3, 5*r = 3*p - 2 - 1. Suppose -19 = -n - p. Calculate the remainder when 37 is divided by n.
11
Suppose 5 = 3*s - 3*d + 11, 10 = -2*s + 4*d. Let w(f) = 54*f + 1. What is the remainder when w(s) is divided by 19?
17
Let i = 19 + -7. Suppose 0 = -5*t + t + i. What is the remainder when 8 is divided by t?
2
Suppose 0 = -7*j + 6 + 8. Calculate the remainder when 3 is divided by j.
1
Suppose -28 - 12 = 2*w. Let z = w - -51. Calculate the remainder when 121 is divided by z.
28
Suppose 3*g + 0*g - 72 = 0. What is the remainder when g is divided by 13?
11
Let c be 10 + -10 + (-1 - 2). What is the remainder when 94 is divided by c - 0 - (-9 + -18)?
22
Let y = 781 + -524. What is the remainder when y is divided by 65?
62
Suppose -3*k - 8 = k. Suppose 2*l - 4*l + 13 = h, 0 = -4*h - 5*l + 37. What is the remainder when k - (-3 - h/3) is divided by 2?
0
Suppose 9 = -2*g - g. Let w(l) = 39*l**2 - 2*l - 1. Calculate the remainder when w(-1) is divided by g/((-6)/(-4)) - -16.
12
Suppose -2*a + 24 = -2*o, 0*a + 2*a - o - 21 = 0. Calculate the remainder when 16 is divided by a.
7
Let d = -22 - -33. Suppose 0 = 5*i - 43 - 7. Suppose 3*m + i = 106. What is the remainder when m is divided by d?
10
Let f(j) = -j**3 + 4*j**2 - 5*j + 4. Let s(q) = q - 1. Let i(l) = f(l) + 2*s(l). Calculate the remainder when i(3) is divided by 2.
0
Suppose 414 = 4*l - 5*b + 2*b, -5*l + 4*b = -518. What is the remainder when l is divided by 35?
32
Suppose -12 = 8*f - 12*f. What is the remainder when (176/(-12))/((-2)/f) is divided by 8?
6
Suppose -4*c + 5*r + 70 = 0, 2*c + 2*r - 20 = -3*r. Calculate the remainder when 51 is divided by c.
6
Let l = 23 + 1. Suppose 0 = -2*w + l. What is the remainder when 34 is divided by w?
10
Suppose z - 610 = -4*z. Calculate the remainder when z is divided by 42.
38
What is the remainder when (-75)/(-12) + (-6)/(-8) is divided by 2?
1
What is the remainder when 274 is divided by (1 - 24)*(-1 - 0)?
21
Suppose -3*m + 3*t = -195, 0*m - 4*t + 268 = 4*m. What is the remainder when m is divided by 17?
15
Let l = -3 + 13. Let d = l - 7. Calculate the remainder when 10 is divided by d.
1
Let b = -9 - -13. Suppose -2*o + b*o - 8 = 0. What is the remainder when 5 is divided by o?
1
Suppose 0 = -2*i + i + 19. What is the remainder when 73 is divided by i?
16
Let r = -11 + 30. What is the remainder when 54 is divided by r?
16
Suppose 2 = -3*f + 68. Calculate the remainder when f is divided by 4.
2
Let y be -3*(-2)/(-12)*-8. Suppose -5*g = -y*g - 21. What is the remainder when 81 is divided by g?
18
Suppose -3*k - 9 = -3*p, -3*k + 4*p - 2*p - 13 = 0. Let b = -3 - k. Calculate the remainder when b is divided by 2.
0
Let i = -2 - -1. Calculate the remainder when 25 is divided by (-1)/(i/7 - 0).
4
Let g(a) = -a**3 + 5*a**2 + 2. Let s(l) = l. Let c be s(5). Let k be g(c). Suppose 2*d + k = 2*j + 5*d, 0 = 3*d. What is the remainder when j is divided by 1?
0
What is the remainder when 2 is divided by ((-12)/(-21))/(14/49)?
0
Let s = 61 - -4. Calculate the remainder when s is divided by 11.
10
Let c = 20 + -13. Let q = c - -5. Let v(m) = -47*m - 1. What is the remainder when v(-1) is divided by q?
10
Calculate the remainder when -124*1/(-6)*3 is divided by 21.
20
Let i(b) = -b**2 - 13*b - 8. Suppose 43 = -12*o + 13*o. What is the remainder when o is divided by i(-10)?
21
Let h(q) = -q**3 - 7*q**2 + 8*q + 3. Let v be (6*-1)/(6/(-4)). Suppose y = -p + 5*p + 35, -5*p = -v*y + 52. What is the remainder when 5 is divided by h(p)?
2
Suppose 22*o - 23*o + 7 = 0. What is the remainder when o is divided by 5?
2
Let p(h) = h**3 + 5*h**2 + h - 3. Calculate the remainder when 47 is divided by p(-3).
11
Let k be ((-2)/3)/((-2)/21). Let c = -22 + k. Calculate the remainder when 21 is divided by (-38)/(-5) + (-6)/c.
5
Suppose 8*x - 3*x = -h + 47, 5*x = -4*h + 143. Suppose -p - p = -h. Calculate the remainder when p is divided by 6.
4
Calculate the remainder when (5/(-4))/((-1)/20) is divided by 7.
4
Let x = -7 - -4. Suppose 34 = 3*p - 59. What is the remainder when p is divided by ((-11)/1)/(3/x)?
9
Let m(i) = -2*i + 1. Let x be m(3). Let a = x - -10. Calculate the remainder when 14 is divided by a.
4
What is the remainder when (-1)/(0 + (-3)/42) is divided by 5?
4
Let j(i) = i**3 + 3*i**2 - 5*i - 4. Let k(w) = w + 3. Let g be k(-6). Calculat