e 0 = 3*i + 2*g + 158, 4*i = -3*g - 317 + 106. Let v = i + 87. What is the remainder when v is divided by 12?
11
Suppose 3*f + 4 = -2. Let w = f + 10. Calculate the remainder when 23 is divided by w.
7
Let a = -23 + 34. Calculate the remainder when a is divided by 6.
5
Suppose i - 34 = -0*t - 5*t, 4*t - 12 = 0. Calculate the remainder when 55 is divided by i.
17
Let a(s) = -s**2 + 16*s - 16. What is the remainder when a(14) is divided by 3?
0
Let l(u) = 6*u + 5. What is the remainder when l(4) is divided by ((-3 - -2) + 2)*15?
14
Suppose -c - c = -232. Suppose 2*k + 2*f = c, -3*f = -2*k - 2*f + 107. What is the remainder when k is divided by (15 - -6)*(-2)/(-3)?
13
Let k(f) = -3*f - 8. Suppose 10*l = 12*l - 34. What is the remainder when l is divided by k(-6)?
7
Suppose 5*q - 2*q + 4*b = 20, -2*q = -5*b - 44. Calculate the remainder when 22 + 6/2 + -1 + -1 is divided by q.
11
Suppose -5*c + 55 + 35 = 0. Calculate the remainder when 50 is divided by c.
14
Suppose -5*c = 5*g - 8*c - 30, -2*g = -c - 12. Calculate the remainder when g is divided by 5.
1
Suppose 2*f + 2*f = 12. Suppose -l = z + 11, -f*l + 4 = -z - 3. What is the remainder when 4/z - (-651)/15 is divided by 15?
13
Suppose 0 = -5*y + 3*i + 286, -y - i + 2*i + 56 = 0. Calculate the remainder when y is divided by ((-24)/4)/(-6) + 14.
14
Let g(v) = -3*v**3 - v**2. Let n be 90/21*14/3. Let i = n + -13. What is the remainder when g(-2) is divided by i?
6
Let o = 108 - -127. Let r = -160 + o. Suppose 0*z - r = -3*z. What is the remainder when z is divided by 9?
7
Suppose -t = -3*n - 2, -t - 6 = -4*n - 4*t. Let h(i) = -i**3 + i**2 - i + 3. Calculate the remainder when h(n) is divided by 2.
1
Suppose 9 - 35 = -2*k. Let v be (-4)/14 - (-788)/14. Suppose 119 = 5*y - 3*h, 4*y - 48 = -2*h + v. What is the remainder when y is divided by k?
12
Let s = -18 + 77. What is the remainder when s is divided by 20?
19
Suppose -3*j + 0*j + 93 = 0. Let i = j + -6. Calculate the remainder when i is divided by 7.
4
Suppose 0 = 4*g - 20, -2*g + 313 = 2*m - 137. Calculate the remainder when m is divided by 25.
20
Suppose -z = -5*z - 4*j + 8, j = 2*z - 10. Suppose -z*u = -0*u. What is the remainder when 26 is divided by (-4)/(-2) + (7 - u)?
8
Calculate the remainder when (-9)/6 - 89/(-2) is divided by 15.
13
Let w = -16 - -28. What is the remainder when 131 is divided by w?
11
Suppose -13 = -s - 1. Suppose -3*i = -s, -5*h + 59 = -3*i + 4*i. What is the remainder when 43 is divided by h?
10
Suppose 4*v - 3*a = 3*v + 22, 2*v - 9 = -a. Let x = 9 - v. Calculate the remainder when 3 is divided by x.
1
Let z(x) = -6*x. Suppose 3*i + 11 = -7. Let b(m) = 2*m**2 - m + 4. What is the remainder when z(i) is divided by b(3)?
17
Let b be 0 - 1/((-3)/(-18)). What is the remainder when 7 is divided by b/(2 - 5) + 1?
1
Suppose 3*m + 37 = 5*j, 1 = -0*m - m - 4*j. Let f = 1 - m. What is the remainder when 27 is divided by f?
7
Suppose 0 = i - 2*r - 4 - 5, -i + 9 = 2*r. Let j = -6 - -5. Let x = 6 + j. What is the remainder when i is divided by x?
4
Let q = -67 + 220. What is the remainder when q is divided by 26?
23
Suppose -4*o - j + 136 = j, -5*j = -20. What is the remainder when 94 is divided by o?
30
Let n(j) = -5*j - 6. Let o(c) = -5*c - 3. Let x be o(-2). Suppose -x = -i + 1. What is the remainder when n(-4) is divided by i?
6
Let a = 58 - -111. What is the remainder when a is divided by 43?
40
What is the remainder when (2 - (-111)/(-12))*8/(-2) is divided by 17?
12
Let y(q) = 2*q + 5 + 0*q + 0*q**2 + q**2 + 4. What is the remainder when y(-7) is divided by 15?
14
Let b be (-2)/(-3) + (-10)/(-3). Suppose -b = g - 12. What is the remainder when g is divided by (-3 - -4) + 0 + 4?
3
Let p be (5/2)/((-1)/2). Let y = 30 + p. Suppose 30*o - 22*o - 72 = 0. Calculate the remainder when y is divided by o.
7
Let f(a) = a**2 - 5*a + 10. Let y be (-2 + 4 + -1)*9. What is the remainder when f(y) is divided by 12?
10
Let c = 52 - 7. Calculate the remainder when c is divided by 12.
9
Suppose -4*u + 3*q + 8 = -33, 4*u + 5*q = 17. What is the remainder when (-54)/(-5) + 1/5 is divided by u?
3
Suppose -5*t + 70 = 5*l, -2*l + 34 = 3*l - 4*t. Suppose 0 = 5*y - 6*y + 18. Calculate the remainder when (y + 0)*(-2)/(-2) is divided by l.
8
Let t(v) = v**2 + 3*v - 1. Let u be t(-4). Suppose -u*h + 11 = -13. What is the remainder when 38 is divided by h?
6
Calculate the remainder when 96 is divided by (-6)/(-27) + 885/27 + 0.
30
Let m(f) = 2*f**3 - 9*f**2 + 6*f + 4. Let j be m(6). Let c be j/18 + 4/(-18). Calculate the remainder when 17 is divided by (-5)/(60/(-9))*c.
5
Let o(k) = 5*k**2 + 3*k - 3. Let w = 12 + -19. Let h = w - -25. What is the remainder when o(-3) is divided by h?
15
Let o(t) = -t**3 - 9*t**2 + 7. Let j be o(-9). Let d = 13 + -9. Let n = d + j. Calculate the remainder when n is divided by 6.
5
Let q(t) = -11*t - 12. What is the remainder when 59 is divided by q(-3)?
17
Let i = -2 - -5. Suppose -5*k - i = -13. Calculate the remainder when 4 is divided by k.
0
Suppose 32 + 11 = 3*o + 4*d, 0 = 4*o - 2*d - 94. Suppose p + 22 + 5 = 0. Let t = p - -38. What is the remainder when o is divided by t?
10
Let a(i) = 3*i - 5. Let b(m) = m**3 + 4*m**2 + 4. Let n be b(-4). Calculate the remainder when 25 is divided by a(n).
4
Suppose -120 = -5*v + 5*y, -v + 3*v - 3*y = 49. Let t be (-6)/4*4*1. Let n = 18 + t. Calculate the remainder when v is divided by n.
11
Let i(t) = 2*t + 63. What is the remainder when i(0) is divided by 16?
15
Suppose -5*w + 3 = -2*w. Let i(v) = w + 15*v + 1 - 1. Calculate the remainder when i(2) is divided by 17.
14
Suppose 12*a + 9 = 189. Calculate the remainder when 36 is divided by a.
6
Let a(q) = 33*q - 7. Let y be a(-5). What is the remainder when y/(-3) - 4/(-6) is divided by 20?
18
Suppose l = 2*s + 3, 3*s - 10 = -2*l + 5*s. Calculate the remainder when 75 is divided by l.
5
Let f be 302/(-6) + 2/6. Let a = f - -78. Suppose -2*d + 14 = 3*w - 4, -5*d + a = -w. What is the remainder when 11 is divided by d?
5
Suppose -3*l - 1 = -7. Let t be 2 - 8*(-1)/(-1). Let d(k) = k**3 + 5*k**2 - 5*k + 7. What is the remainder when l is divided by d(t)?
0
Suppose -2*u = 6*p - p - 139, -u - 5*p = -72. Calculate the remainder when u is divided by (-17)/51 - 70/(-3).
21
Let d = -50 + 92. Suppose -3*y - 3*c = -21, -5*c + 18 = y - 5. Suppose -4*k + f + 139 = k, -2*k = y*f - d. Calculate the remainder when k is divided by 7.
6
Let t(l) = l**3 + 4*l**2 + 3*l + 6. Let q be t(-4). Let p be (1 + 2)/(q/(-4)). Suppose -p = c - 12. Calculate the remainder when 29 is divided by c.
9
Suppose -29 = -5*c - 9. Suppose -4*g - 77 = -3*j, -2*j - c*g + 84 = 6. Calculate the remainder when j is divided by 12.
7
Let h(y) be the first derivative of y + 1 + 27/2*y**2. Calculate the remainder when h(1) is divided by 15.
13
Suppose -8*x = -3*x - 105. Calculate the remainder when x is divided by 12 - (2 + -1)/1.
10
Suppose 4*d - 3*d = 4. Calculate the remainder when d is divided by 4.
0
Let q be 84 - (1 - 0)/(-1). Suppose -v - 3*t + 24 = -7, 3*v - q = -t. Calculate the remainder when v is divided by 15.
13
Suppose 5*p - 20 = 35. Calculate the remainder when 96 is divided by p.
8
Suppose 3*m - 18 = -3*j, j = -0 - 3. Calculate the remainder when 51 is divided by m.
6
Let s(x) = -2*x - 2. Suppose m + 12 = 4*m. Suppose 0 = g - m*g - 9. Calculate the remainder when 7 is divided by s(g).
3
Let q(b) = b**3 + 4*b**2 - 4*b + 4. What is the remainder when q(3) is divided by 19?
17
Suppose -29*n + 190 = -24*n. Calculate the remainder when n is divided by 21.
17
Suppose 19 = -a + 33. What is the remainder when 32 is divided by a?
4
What is the remainder when (-76)/(-4 + 0) + 0 is divided by 11?
8
Let t(h) = -6*h + 6. Suppose 5*s + 2*m + 20 = 0, 21 = -s + m + 2*m. Let z(j) = 5*j**2 + 2. What is the remainder when t(s) is divided by z(-2)?
20
Suppose 3 = d - 0*d, 68 = 5*j + d. Suppose 10*o - j*o + 48 = 0. What is the remainder when 93 is divided by o?
13
Let p be ((-4)/(-2))/(-2 - -4). Let o = p - -3. Suppose -i = o*i - 100. Calculate the remainder when i is divided by 11.
9
Suppose 0*n + 2*n + 3*s - 51 = 0, -135 = -5*n - 5*s. What is the remainder when 59 is divided by n?
29
Let h = -4 + 8. What is the remainder when 42 is divided by (45/12)/(1/h)?
12
Suppose 0 = 2*b 