3
Let c be -11 + (1 - -1) + 0. What is the remainder when 6*6 + c/(-3) is divided by 20?
19
Let d be 20/(-35) + (-25)/(-7). Let z(h) = -h**3 + 3*h**2 + 5*h - 5. Calculate the remainder when z(d) is divided by 3.
1
Let c(d) = -7*d + 1. What is the remainder when 86 is divided by c(-3)?
20
Suppose -2*x + x = -5. Suppose -q - 3*v = -9, -v + 19 = x*q + v. Let u(l) = l**3 + 4*l**2 - 5*l + 2. Calculate the remainder when q is divided by u(-5).
1
Let m(i) = i**2 + i. Let x(h) = -h**3 + 3*h**2 - 8*h + 1. Let a(c) = 3*m(c) + x(c). What is the remainder when a(4) is divided by 7?
6
Let y(r) = -2*r - 8. Let u be y(-6). Suppose 12 = -0*w + u*w. Suppose -w*s - 11 = -2*d - 2*s, 3*d = 4*s + 19. Calculate the remainder when 18 is divided by d.
3
Suppose -1 = 2*x - 9. Calculate the remainder when 10 + (-1 + 5)/(-4) is divided by x.
1
Let q(j) = j + 65. Let s be q(0). Suppose -193 = -4*r - s. Let k = -15 + r. Calculate the remainder when k is divided by 9.
8
Let v(j) = j**2 - 9*j - 5. Let r be v(10). Suppose -4*i = -r*z + 70, z = 5*i - 2 - 5. What is the remainder when 87 is divided by z?
15
Let p = -55 - -69. Calculate the remainder when 55 is divided by p.
13
Let k(p) = -2*p - 7. What is the remainder when (-1)/(-4) - (-508)/16 is divided by k(-9)?
10
Suppose -6*m = -m - 10. Suppose 42 = 4*u + 2. Suppose 2*i + u = 7*i. Calculate the remainder when m is divided by i.
0
Let l = -148 - -345. Calculate the remainder when l/4 - (-3)/(-12) is divided by 13.
10
Let x(r) = -r**2 - 6*r + 4. Calculate the remainder when 7 is divided by x(-6).
3
Suppose 0 = 12*h - 7*h - 10. Suppose -s + 3*s - 38 = -3*l, -42 = -h*s - 2*l. Calculate the remainder when s is divided by 13.
12
Let a(k) = k**3 - 7*k**2 + 8*k + 3. What is the remainder when 2*(-3)/(-3) + 57 is divided by a(6)?
14
Let s(c) = 2*c. Let o be s(-1). What is the remainder when (o - -6)/(-4) + 55 is divided by 14?
12
Let f(q) = 13*q + 5. Let c(v) = 6*v + 3. Let s(p) = 5*c(p) - 2*f(p). What is the remainder when s(5) is divided by 12 + 0 - (2 - 3)?
12
Let c(a) = a + 15. What is the remainder when c(14) is divided by 8?
5
Suppose 4*q - 4*a + 476 = 0, q + 70 + 54 = 2*a. Suppose 3*d - 53 = -k, 2*d + 2*k = -k + 47. What is the remainder when (1 - q)*(-2)/(-5) is divided by d?
14
Let d(o) = -o**3 + 2*o**2 + 3*o - 2. Let p be d(3). Calculate the remainder when 4/((-2)/4*-1) is divided by (-5)/p*(-12)/(-10).
2
Let q = 114 - 67. What is the remainder when q is divided by (-6)/((3/8)/(-1))?
15
Suppose k = 5*g + 5, -5*k + 2*g = -2*k - 28. Calculate the remainder when 2/k + (-833)/(-35) is divided by 9.
6
Let t(w) = w**2 + 3*w - 2. Let s be t(2). Suppose -3*o + s = -c - 7*o, -3*o + 7 = 4*c. Let p(n) = n + 2. What is the remainder when p(8) is divided by c?
2
Let j be -1 - 0 - -26*1. Let h be -1*36*(1 + -2). Let q = h - j. What is the remainder when 32 is divided by q?
10
Suppose 4*d - d - 114 = 0. Suppose 46 - 146 = -5*g. Calculate the remainder when d is divided by g.
18
Suppose -2*h - 18 = -5*h. Let j be 2/8 + 22/8. Suppose -2*s = -j*s + 10. Calculate the remainder when s is divided by h.
4
Let v be 0 + (2 - 3 - -73). Suppose 15 = 3*l, -3*l + v = 2*s + l. Let m = s + -14. What is the remainder when m is divided by 7?
5
Suppose 3*m + 2*x = -35, 0*m - 4*m - 50 = x. Let z(p) = -p. What is the remainder when z(m) is divided by 8?
5
Let h = 57 + -37. Let r = -20 - -31. Calculate the remainder when h is divided by r.
9
Suppose -y = -4*k - 4, 0 = 3*y + 2*k - 7*k - 19. Suppose 0 = -p + 4*p - 45. What is the remainder when p is divided by y?
7
Let a = -10 - -18. Let f = -2 + 31. Calculate the remainder when f is divided by a.
5
Let q be (-1578)/(-12)*2/1. Suppose 2*l - x - 86 = 0, -4*x + q = 5*l + 48. Calculate the remainder when l is divided by 11.
10
Let s(f) be the third derivative of -f**6/120 + 7*f**5/60 + 5*f**4/12 - f**3/3 + 2*f**2. Calculate the remainder when 27 is divided by s(8).
13
Suppose 0 = b - 3*p - 68, 2*b + 0*p - 2*p - 116 = 0. Let f = b + -31. What is the remainder when 85 is divided by f?
19
What is the remainder when 34 is divided by (-2)/8*(-5 + 1) - -15?
2
Let w(z) = -6 + 0*z - 5*z + z - z. Calculate the remainder when w(-6) is divided by 13.
11
Let n(f) = -3*f - 3. Let d = 1 + -1. Let a(r) = -r**2 + r - 5. Let j be a(d). Calculate the remainder when 34 is divided by n(j).
10
Suppose 12 = -2*h + h. Calculate the remainder when 2 is divided by (3/(-6))/(3/h).
0
Let g(v) = v**3 + 7*v**2 + 4. Let t be 3*-1*4/3. What is the remainder when g(t) is divided by 27?
25
Let r be ((-45)/(-6))/(3/6). What is the remainder when 7 is divided by 16/(-6)*r/(-10)?
3
Suppose 0 = -k, 0 = -6*i + i - 4*k + 325. What is the remainder when 50 is divided by (-3)/(-4) - i/(-4)?
16
Suppose 4*v - 77 = 35. Let y(u) = 3 + 2*u - 3*u**2 + 5*u**2 - 4 - 1. What is the remainder when v is divided by y(-3)?
8
Let y = -223 - -228. Suppose 4*l - 42 = -5*d - 10, -3*d = -l - 9. What is the remainder when y is divided by l?
2
Let o(h) be the third derivative of -h**6/120 - h**5/20 + h**4/6 + h**2. What is the remainder when 57 is divided by o(-5)?
27
Suppose 3*v - 40 = -4*t, 56 = 5*t - 2*v - 17. Suppose -5*j + 3*q + 256 = 0, -4*j = -3*q - 23 - 183. Calculate the remainder when j is divided by t.
11
Let a(j) = -j**3 + 6*j**2 - 5*j + 4. Let d be a(5). Suppose -60 = -2*p - 2*g - 2*g, d*p - 2*g = 70. Calculate the remainder when p is divided by 7.
6
Let z(j) = -27*j - 64. Calculate the remainder when z(-6) is divided by 11.
10
Suppose -2*i + 4*y - 18 = 2*y, -5*i + 3*y - 41 = 0. Let v = i - -54. What is the remainder when v is divided by 12?
11
Let d = 62 - 44. Suppose -i = -0*i - d. Calculate the remainder when 53 is divided by i.
17
Suppose q + 11 = -q - 3*n, 4*n = -4*q - 12. Calculate the remainder when 5 is divided by q.
1
Suppose 6*s - 2*a - 14 = 5*s, -3*s = 4*a - 52. Calculate the remainder when 33 is divided by s.
1
What is the remainder when 33 is divided by (-260)/(-28) + (-2)/7?
6
Let j = -10 - -14. Suppose j*s - 4*t - 112 = 0, 2*s + 5*t + 32 = 3*s. Calculate the remainder when 79 is divided by s.
25
Let w be 3084/14 - 6/21. Let k be (w - 1) + 4/4. Suppose 0*h + k = 5*h. What is the remainder when h is divided by 15?
14
Suppose -3*o = -5*o. Suppose -t - 2*t + 33 = o. What is the remainder when 41 is divided by t?
8
Let d = 162 - 115. What is the remainder when d is divided by 12?
11
Let v = 4 - 1. Suppose 0 = 2*i - 4, -5*a + 5*i + 52 - 7 = 0. What is the remainder when a is divided by v?
2
Let o(j) = 0 + j**3 + 2 - 9*j + 0*j**2 + 6*j**2 - 1. Suppose -58 = -4*m + 118. What is the remainder when m is divided by o(-7)?
14
Suppose -10 = -2*x - 4*u, 5*x + 2*u = 6 + 59. Let s be 130/(-3)*30/(-20). What is the remainder when -2 - (2 - s - -2) is divided by x?
14
Suppose 5*w - 284 = -109. Calculate the remainder when w is divided by 10.
5
Suppose 3*f - p = 120, 10*f - 2*p - 162 = 6*f. Let k = 6 - -4. What is the remainder when f is divided by k?
9
Suppose -66 = 5*u + 4. Let l = 10 + u. Let y(k) = k**2 + 2*k - 3. Calculate the remainder when 14 is divided by y(l).
4
Suppose -5*k = -4*k - 1. Suppose -2*f + 75 = -m, f = 3*m + k + 24. What is the remainder when f is divided by 14?
12
Let k(f) = -f**3 + 5*f**2 - 5*f + 2. Calculate the remainder when 18 is divided by k(3).
3
Suppose -5*a = -4*x - 103, 5*a - 81 = -4*x + 6. Calculate the remainder when 94 is divided by a.
18
Suppose -3*b + 37 = v, 0*b - 3*b - 3*v + 45 = 0. Calculate the remainder when b is divided by 7.
4
Let p = 155 + -41. Let g = -8 + 12. What is the remainder when p/10 + (-2)/5 is divided by g?
3
Let a(y) = -y**2 - 5*y - 2. Let j be a(-3). Calculate the remainder when ((-5)/j)/((-7)/364) is divided by 17.
14
Suppose 55 - 163 = -5*y - 4*b, -y + 30 = -2*b. What is the remainder when 93 is divided by y?
21
Suppose 0 = -5*m + 15, -3*v + 24 = 4*m - 6. What is the remainder when v is divided by 4?
2
Let c(b) = -b**3 - 10*b**2 + 4*b. Let t(q) = 14*q - 1. Calculate the remainder when c(-11) is divided by t(1).
12
What is the remainder when 3 + -5 - (-110 - (-1 - -1)) is divided by 57?
51
Let b = -74 + 127. Suppose 0 = -5*r - b + 13. Calculate the remainder when 171/12 + 2/r is divided by 5.
4
Let v = 5 - 0. Calculate the remainder when v is divided by (2 - 0)*3/2.
2
Let j(l) = -l**3 - 5*l**2 + 2*