. What is the remainder when 12 is divided by d?
2
Let t(h) = -4*h**3 - 5*h**2 + 16*h - 24. Let g(v) = -v**3 - 2*v**2 + 5*v - 8. Let l(x) = 7*g(x) - 2*t(x). Calculate the remainder when 11 is divided by l(4).
3
Suppose 5*c + 27 = -4*n, 4*c - 12 + 0 = n. What is the remainder when (-210)/n - (-2)/(-8) is divided by 9?
8
Suppose 4*y = -5*o + 30, y + 10 = -5*o + 5*y. Suppose o*j = -2*q + j + 2, 0 = -3*j. What is the remainder when 27 is divided by (q + 7)/2 + 7?
5
Let t(c) = c**2 - 16*c + 7. Let y = 18 + -1. Calculate the remainder when 69 is divided by t(y).
21
Let a(v) = -v + 18. Suppose -4*s + 3*i = -25, -2*s - 3*s + 75 = 5*i. Calculate the remainder when 13 is divided by a(s).
5
Let p be (-32)/6*(-3 + 0). Let z be 3*(-164)/(-8) + (-3)/(-2). Suppose -j + p + 5 = 5*w, 0 = 4*j - w - z. Calculate the remainder when 31 is divided by j.
15
Let n(i) = -i**2 - 7*i + 44. Let t(j) = j + 13. Let f = -1 - -1. Calculate the remainder when n(-6) is divided by t(f).
11
Calculate the remainder when (-4)/26 - (73948/(-26))/14 is divided by 86.
31
Suppose 38 = -3*i + 305. Suppose 2*s + 0*s + i = 3*l, -3*l = s - 95. Let u = -22 + l. Calculate the remainder when 25 is divided by u.
7
Suppose -4*w - 103 + 20 = -5*v, -4*v = -3*w - 66. Suppose 1 = 2*o - v. Calculate the remainder when (2/2)/(1/31) is divided by o.
7
Let q(t) = 6*t - 26. Suppose 3*w - 2*m + 6 = 0, -4*m = -2*w - 7*m - 4. What is the remainder when (w + 3)*(0 - -43) is divided by q(8)?
21
Suppose m - 42 = -7. Let o(p) = 4*p**2 - 23*p - 50. What is the remainder when m is divided by o(-2)?
11
Suppose 67 = 2*z - 100*q + 97*q, 0 = 5*z + 4*q - 156. Let k = -2 - -7. Suppose -k*n - 85 = -10*n. What is the remainder when z is divided by n?
15
What is the remainder when -1*22*(-45)/10 is divided by 45?
9
Suppose 3*i + 0*i = 6, 5*a - 4*i = 477. Let l(x) = 3*x - 30. Let d be l(10). Suppose 6*o - 106 - 44 = d. What is the remainder when a is divided by o?
22
Let f be (2 - -89) + -10 + 6. Let t = -24 + f. Calculate the remainder when t is divided by 11.
8
Let x be (-1)/2 + 1275/10. Let c = -216 + x. What is the remainder when 2/(-2) + (-5 - c) is divided by 17?
15
Suppose 16*t - 272 = 160. What is the remainder when t is divided by 21?
6
Let x = -19 + 7. Let l be ((-9)/x)/((-3)/(-8)). Suppose 0 = -l*u + u + 32. What is the remainder when u is divided by 11?
10
Let l = 23 + 13. Let y(k) = -k**2 + 5*k + 7. What is the remainder when l is divided by y(3)?
10
Let o = -8 + -11. Let z(p) = p**2 + 20*p + 32. Suppose -69 = -y - 2*y. What is the remainder when y is divided by z(o)?
10
Suppose -4*c + 392 = 2*t, -4 = -2*c + 2. Let a = t + -100. Calculate the remainder when a is divided by 23.
21
Let x = 241 + 137. What is the remainder when 60 is divided by x/24 - 1/(-4)?
12
Let f(t) = -30*t + 4. Let i(x) = 10*x - 1. Let o(j) = 4*f(j) + 11*i(j). Suppose 12 = -0*y - 2*y. What is the remainder when o(y) is divided by 22?
21
Suppose -2*b + 3*n = -108, b - 3*b - 3*n + 96 = 0. Let s = b - 18. Let m = 30 + -13. Calculate the remainder when s is divided by m.
16
Suppose 5*x = 10*x - 3*t - 266, -4*t - 263 = -5*x. Suppose -5*q - 2*o = -4*q - 47, 0 = q + 4*o - x. Calculate the remainder when q is divided by 15.
9
Let z = 21 + -11. Let f = 19 - z. What is the remainder when (1 - 4)*(-93)/f is divided by 8?
7
Let z = -6 + 6. Suppose z = -2*s + 15*s - 754. Let g(y) = 2*y**2 + 6*y. What is the remainder when s is divided by g(-5)?
18
Let k(f) = -17*f**3 - f**2 + 1. Let q be k(-1). Suppose 2*d - q = -1. Let x(i) = i**2 + 4*i + 16. What is the remainder when x(-5) is divided by d?
5
Calculate the remainder when 90 is divided by 1/(-2)*-4*(-31)/(-2).
28
Calculate the remainder when 61 is divided by (-7)/84 - 1518/(-72).
19
Let a(r) = -16*r + 132. What is the remainder when 379 is divided by a(7)?
19
Let i = 36 - 31. Suppose -4*a = -5*k - i, 1 = 3*k - 2*a + 2. What is the remainder when 73 is divided by 1/k - 44/(-3)?
13
Suppose -4*v = -q + 55, v + 91 + 12 = 2*q. Let u = 207 - 106. What is the remainder when u is divided by q?
50
Let j(x) = -x - 14. Let g be j(-12). Let p be 18/(-4)*(-388)/g. What is the remainder when 95 is divided by p/(-36) + 1/(-4)?
23
Let u(m) = -58*m - 6. Let b be u(3). Calculate the remainder when 110 is divided by (7/(-5))/(18/b).
12
Suppose -3*t + 2*m + 663 = 0, -11*t + 2*m = -6*t - 1105. Calculate the remainder when t is divided by 25.
21
Suppose -2*a - 2*n + 16 = 0, 14 = a - 4*n + 3*n. Let i(d) = -4*d**2 + 85*d + 19. Calculate the remainder when i(21) is divided by a.
7
Suppose 2*k - 1 = -5. Let n(r) = -r - 2. Let l be n(k). Suppose l = 2*t - 42 + 26. What is the remainder when 13 is divided by t?
5
Suppose 220*q - 221*q + 349 = 0. What is the remainder when q is divided by 51?
43
Suppose 10 = -3*b + 22. Suppose d - 19 = -b. What is the remainder when 28 is divided by d?
13
Suppose 2*v - 1242 = -8*u + 10*u, -3*u + 1881 = 3*v. What is the remainder when v is divided by 19?
16
Suppose l = 3, -2*t + l + 37 + 2 = 0. Let r = 1134 + -1051. Calculate the remainder when r is divided by t.
20
Suppose -h + 2*y + 24 + 1 = 0, 2*h + 5*y = 14. Calculate the remainder when 185 is divided by h.
15
Let x(p) = p**2 - 19*p - 16. What is the remainder when x(-7) is divided by 44 + -4*(-2)/(-4)?
40
Let h = 2 + 2. Suppose h*t + 15 = -13. Let b = 6 - t. What is the remainder when 24 is divided by b?
11
Calculate the remainder when (2/(-12) + (-2201)/6)*-1 is divided by 31.
26
Suppose 9*j = 4*j + g + 26, 0 = -2*g - 2. Calculate the remainder when 18 is divided by j.
3
Suppose -9*c + 18*c - 54 = 0. Suppose c*j = 19 + 77. What is the remainder when j is divided by 12?
4
Suppose -253 = -4*t + 187. Suppose t = 3*x + 2*x. Let h = -9 - -15. What is the remainder when x is divided by h?
4
What is the remainder when 881/5 + 1/(-5) is divided by 15?
11
Let j = -25 + 41. Suppose -q + 0*q = -1. What is the remainder when (-2 + 156)*q/2 is divided by j?
13
Suppose -r = -5*r + 16. Suppose 10 = -5*y + 5. Let a(w) = -4*w - 1. Calculate the remainder when r is divided by a(y).
1
Let l(y) = 41*y + 1 - 2 - 14*y. Suppose 4*j - 4*w = 16, 35*j - 32*j - 2 = -2*w. What is the remainder when l(j) is divided by 18?
17
Suppose 222 + 8 = 5*s - y, 2*s - 3*y = 79. What is the remainder when 101 is divided by s?
7
Let n = 9 + -11. Let s be 2/(2 - 3)*n. Calculate the remainder when (-2 - 3)*(-1 - s) is divided by 7.
4
Suppose 52*s - 594 = 30*s. What is the remainder when 296 is divided by s?
26
Suppose 0 = 5*b + 2*b + 21. Let h = 75 + -52. Calculate the remainder when (0 + (-220)/15)*b is divided by h.
21
Let j(f) be the second derivative of -f**3 + f**2/2 - 2*f. Suppose 261*m - 264*m - 6 = 0. What is the remainder when 38 is divided by j(m)?
12
Suppose 3*d + 2*d + 90 = 0. Let v = 40 + d. Suppose -2*s - 2*y = -22, 2*s + 3*y - 11 - 16 = 0. What is the remainder when v is divided by s?
4
Suppose 5*z + 25 = 0, -5*t + 30 = z - 25. Calculate the remainder when 27 is divided by t.
3
Let w(m) = 3*m**2 + 11*m - 44. Calculate the remainder when w(-13) is divided by 82.
74
Suppose 5*u = u + m + 67, -5*u + m + 85 = 0. Suppose 5*k - 2*k + 4*w = 64, 3*w - u = -k. Calculate the remainder when k is divided by 9.
6
Let r be (3 - 4)/((-5)/265). Suppose -21 = 2*h - r. Calculate the remainder when 29 is divided by h.
13
What is the remainder when ((-51 + -3)*6)/((-23)/46) is divided by 26?
24
Suppose -11*r + 5 = -6*r. Suppose -43 = -m + r. What is the remainder when m is divided by 16?
12
Let v = 21 - 13. Let g = v - -23. Let z = -222 - -231. What is the remainder when g is divided by z?
4
Let i be (475 - (2 - 0)) + 2/1. What is the remainder when 125 is divided by i/15 + (-2 - -1)/(-3)?
29
Let v(h) = -h + 1. Let u be v(1). Calculate the remainder when (-18)/(-4)*(-7 + (-167)/(-9)) is divided by 1*(0 + u + 18).
16
Suppose -5*k - 18*c + 19*c + 95 = 0, 4*k - 2*c - 70 = 0. What is the remainder when 131 is divided by k?
11
Suppose -5*z = -2*h - 68, 0*z - 3*h - 53 = -4*z. Calculate the remainder when 34 is divided by z.
6
Let r(x) = 2*x**2 + x - 17. Suppose -5*l + 16 = 2*f, -l + 2*f = 4*f. What is the remainder when 33 is divided by r(l)?
14
Calculate the remainder when (-14)/(-8)*(-44)/(-14)*6 is divided by 17.
16
Let k(j) = -j**3 + 16*j**2 - 20*j - 37. What is the remainder when k(12