7 - -37. Suppose t + 2*y = -2*t + z, 4*t + y - 52 = 0. What is the remainder when 33 is divided by t?
9
Suppose -4*i = 2*s - 56, i - 18 + 4 = 2*s. Calculate the remainder when 32 is divided by i.
4
Let x = 231 - 97. What is the remainder when x is divided by 46?
42
Suppose 4*t + 67 = 3*c, -6 + 28 = 2*c + 3*t. Let j = 74 + -25. What is the remainder when j is divided by c?
15
Let x be 3/(-5) + 13/5. Suppose 0 = -x*n + 4*v + 12, n - 4*v - 1 = -3. Calculate the remainder when 40 is divided by n.
12
Let p be 6*(-1 - (-9)/6). Calculate the remainder when 97/p + (-2)/6 is divided by 17.
15
Let w(r) = 2*r**2 + 7*r - 1. Let b be -2 - -30 - (-5 - -2). Suppose 4*p - 39 = x, -p + b = 2*p + x. Calculate the remainder when w(-6) is divided by p.
9
Let p(n) = -7*n - 1. Let o(h) = -h. Let t(w) = 2*o(w) - p(w). Suppose -25 = -8*j + 15. What is the remainder when t(j) is divided by 14?
12
Calculate the remainder when 44/12*(18 + -2 + -4) is divided by 13.
5
Let z = -32 - -51. Calculate the remainder when z is divided by 7.
5
Suppose 4*z = s + 18, -2*s + 5 = 5*z - 24. Suppose 9*y - 45 = 4*y. What is the remainder when y is divided by z?
4
Let a(l) be the first derivative of -2*l**2 + 16*l - 7. Calculate the remainder when a(-11) is divided by 16.
12
Let z be (-17)/(-34) - (-207)/2. Let l = z + -61. Calculate the remainder when l is divided by 11.
10
What is the remainder when 3 - (-2 - 5)*7 is divided by 18?
16
Let w(l) = -4*l + 4. Calculate the remainder when w(-2) is divided by 5.
2
Let x(i) be the second derivative of 5*i**4/12 + i**3/6 + i**2/2 + 3*i. Suppose 0 = f - 5*f - 12. What is the remainder when x(f) is divided by 15?
13
Let g = -113 + 150. What is the remainder when 183 is divided by g?
35
Suppose 5*g - 546 = g + 3*x, 4*g + 2*x = 556. Suppose -2*c - c = -g. Calculate the remainder when c is divided by 24.
22
Let r = -44 + 68. Calculate the remainder when 93 is divided by r.
21
Suppose 0 = -2*l + 7 - 3. Suppose -5*w + 96 = -w. Suppose -n + 3*j + 14 = 0, -4*j - j = -2*n + w. Calculate the remainder when n is divided by l.
0
Let s(w) = -2*w**3 - 2*w**2. Let d be s(-2). Let y = 23 - d. What is the remainder when 44 is divided by y?
14
Let y(s) = 7*s + 4. Let w be y(3). Suppose 0 = -2*m + 2*b - b + w, 4*m + 2*b - 62 = 0. Let r = 49 + -8. Calculate the remainder when r is divided by m.
13
Calculate the remainder when 135/(-6)*36/(-10) is divided by 21.
18
Suppose 4*q = -v + 23, -2*v + q + 3*q = 14. Let z = -29 - -41. Suppose -v*g + z = -15. Calculate the remainder when 25 is divided by g.
7
Let w(a) = -a**2 - 17*a + 29. Calculate the remainder when w(-12) is divided by 23.
20
Let q(n) = -n**3 - 10*n**2 + n - 3. Let o be q(-10). Let k = o + 22. What is the remainder when 35 is divided by k?
8
Let g(j) = 2*j**2 + 8*j + 3. Suppose -20 = 5*h, 5*n + h + 37 = -2*h. Calculate the remainder when 37 is divided by g(n).
11
Let v(l) = 132*l**2 - l. Let z be v(-1). Suppose 4*o + 45 = 4*n + 173, 0 = -5*o - 4*n + z. Calculate the remainder when o is divided by 15.
14
Suppose 0 = 7*m - 12*m + 220. Calculate the remainder when m is divided by 12.
8
Suppose -4*i - 78 = -2*l, -l = i + 2*i - 24. What is the remainder when l is divided by 17?
16
Let k(b) = 12*b**2 + 2*b + 1. Suppose 5*g = 42 + 38. What is the remainder when k(-2) is divided by g?
13
Suppose -2*w + 5 = -7. Let f be 62/w + (-1)/3. Calculate the remainder when (12/f)/(6/80) is divided by 9.
7
Let u(h) = 10*h**2 - 22*h - 4. What is the remainder when 58 is divided by u(3)?
18
Let q be 448/9 - 8/(-36). Let g(x) = x + 6. Let t be g(-6). Suppose 2*o = -t + q. What is the remainder when o is divided by 13?
12
Suppose 12 + 0 = 6*q. Suppose -51 - 39 = -q*c. What is the remainder when c is divided by 12?
9
Suppose 0*t + t = -4*r + 47, t - 4*r = 39. Calculate the remainder when 126 is divided by t.
40
Let o = -24 - -14. Let z = 12 + o. Suppose -z*g + 10 = -g. Calculate the remainder when 18 is divided by g.
8
Suppose v + v - 236 = 0. Calculate the remainder when v is divided by 30.
28
Let q(o) = 5*o**2 + 4*o + 4. What is the remainder when 45 is divided by q(-2)?
13
Suppose 0 = 3*b + 2*b - 45. What is the remainder when b is divided by (-18)/(-81) + 34/9?
1
Let k = 21 + -19. Calculate the remainder when k is divided by 1.
0
Let l(s) = -10*s + 1. Suppose 4*r = -5*y + 99 + 9, -4*y + 86 = 3*r. Calculate the remainder when y is divided by l(-1).
9
Suppose 0*u = u - 87. Suppose 1 = 4*l - u. What is the remainder when l is divided by 6?
4
Let j = 17 + -11. Calculate the remainder when j is divided by 3.
0
Let b be 13 + 2 - (-1)/(-1). What is the remainder when 3*(3 + b/3) is divided by 13?
10
Suppose 4*k = 20, -2*k + 0*k - 180 = -5*a. Suppose 28 = 2*s + 2*w, -2*w + 51 = 4*s - 3*w. Calculate the remainder when a is divided by s.
12
Suppose x = 1 + 4. Suppose -x*s + r + 3 = -269, 5*s - 4*r = 263. Let n = 39 - 20. What is the remainder when s is divided by n?
17
Let j = -18 + 35. Let u(m) = -m**3 + 6*m**2 - 3*m - 1. Calculate the remainder when j is divided by u(5).
8
Suppose 0 = 5*d + 15 - 55. Calculate the remainder when d is divided by 3.
2
Let o(q) = 0*q**2 - 2*q - 4 + 1 + q**2. Let y be (-12)/4 + 5 + -4. Calculate the remainder when 8 is divided by o(y).
3
Let y be 23/(2/2) - -4. Calculate the remainder when (0 + y)*4/3 is divided by 13.
10
Suppose -c + 23 = 5*l, 0 = -3*l - 4*c + 8 + 16. Suppose i + l*r - 3 - 34 = 0, r = 5. What is the remainder when 31 is divided by i?
14
Let y be 4/(2 - -1 - 1). Suppose 58 = 3*k - y*m, 2*k + 34 = 3*k + 3*m. Let a(i) = -i**2 - 19*i + 9. Calculate the remainder when a(-17) is divided by k.
21
Let d be -2 - (53 + 1 - 0). Let u be 2/2 + (3 - d). Calculate the remainder when 18 is divided by (-3)/2*u/(-9).
8
Suppose 0 = -b - 5*n + 27, -3*b + 8 + 23 = 5*n. Let w = 12 + b. What is the remainder when 53 is divided by w?
11
Suppose 5*j - 23 - 7 = 0. Suppose a = j - 2. Suppose -k = -5*i - 21, 2*k - 10 - 18 = -a*i. What is the remainder when k is divided by 9?
7
Let w(f) = -f - 9. Let b be w(-11). Suppose 0 = b*k - 33 + 7. Calculate the remainder when 38 is divided by k.
12
Let i = 11 - 0. Suppose 3*k = 5*o - i, 6*k - k - 3*o = -13. Calculate the remainder when 23 is divided by ((-5)/15)/(k/36).
5
Let s = 6 + -4. Suppose 0 = 2*w - 4*q - 134 + 36, s = q. Calculate the remainder when w is divided by 11.
9
Let n = -6 + 15. Let s(b) = b - 2. Let j(t) = 2*t - 5. Let q(w) = n*s(w) - 4*j(w). What is the remainder when 2 is divided by q(0)?
0
Suppose 0 = 3*v + 46 - 160. Calculate the remainder when v is divided by 13.
12
Let x be ((-35)/(-20))/((-1)/16). Let l = x - -44. What is the remainder when 47 is divided by l?
15
Suppose -5*f + 413 = 8*w - 4*w, 3*f - 2*w - 261 = 0. What is the remainder when f is divided by 29?
27
Let a(k) = -3*k - 6*k**2 + k**3 + 10 - 4*k + 0*k**3 + 2*k. Calculate the remainder when a(7) is divided by 13.
11
Let m = 164 - 106. Calculate the remainder when m is divided by 20.
18
Let z = 2 + 3. Suppose 3*q = -15, 3*h - 2*q = z*h - 58. Calculate the remainder when h is divided by 9.
7
Suppose 11 = -2*h + 59. Suppose -h - 9 = -3*d. What is the remainder when 32 is divided by d?
10
Let j be 8/20*5*2. Let m = j - 0. Calculate the remainder when 25 is divided by (-26)/m*-2*1.
12
Let b be 3 - 4 - (-21 + 2). Suppose k - 80 + b = 0. What is the remainder when k is divided by 21?
20
Suppose -3*k = -2 + 8, -49 = -q + k. Calculate the remainder when q is divided by 12.
11
Let b(a) = a**3 - 5*a**2 - 5*a - 4. Let p(n) = -2*n - 10. Let x be p(-8). Let u = -4 + 7. What is the remainder when u is divided by b(x)?
1
Suppose -4*t = 5*y - 228, 0*t + y + 66 = t. Suppose 2*r - 5*s = 45, 2*s = 4*r - r - t. Calculate the remainder when 29 is divided by (r/12)/(2/12).
9
Suppose c + 4*h - 38 = 0, 2*c + 3*h = 3*c - 66. Calculate the remainder when c is divided by 28.
26
Suppose -2*g = -5*k - 33, 0 = 2*k - 4*g + 31 - 5. Let p(v) = v**2 + 2*v - 4. What is the remainder when 20 is divided by p(k)?
9
Suppose 5*c - 112 = 118. What is the remainder when c is divided by ((-2)/3 + 2)*9?
10
Suppose -6*n + 20 = -2*n. What is the remainder when 2*(26/4 + 3) is divided by n?
4
Suppose -6 = 2*y + 3*q, -y + 5*y = -q + 8. Let j be ((-4)/10)/(y/(-15)). What is the remainder when j/6 - 76/(-6) is divided by 7?
6
What is 