 Let j = 58 - 34. What is the remainder when s is divided by j?
22
Let d(k) = -k**2 - 8*k - 10. Let o(w) = w. Let r(j) = d(j) + 3*o(j). Let a(g) be the first derivative of r(g). What is the remainder when 2 is divided by a(-3)?
0
Suppose 4*j - 6 - 2 = 0. Let s be -10 + ((-4)/j - 2). Let u = s - -15. What is the remainder when 3 is divided by u?
0
Let o = 39 - 25. Let g(p) = p**3 - 15*p**2 + 15*p + 16. What is the remainder when 119 is divided by g(o)?
29
Let n be (-7316)/(-36) - 6/27. Let w = n - -87. Suppose -6*l + y = -l - w, 0 = -l - 4*y + 79. What is the remainder when l is divided by 15?
14
Let p = 10 - 21. Let q(v) = v**2 + 6*v + 1. What is the remainder when q(-10) is divided by 7 + p - (-1 - 14)?
8
Suppose 10 = -5*i - 5, 4*i = 2*n - 36. Let d(f) = 4*f + 24. Calculate the remainder when 284 is divided by d(n).
68
Suppose 2*r = 4*y - 26, -y + 0*y - 4 = 3*r. Suppose -3*x = x - 4*o - 72, -3*x = y*o - 78. Calculate the remainder when x is divided by 8.
5
Suppose 0 = 5*p + 3*k - 141, 4*p - k - 102 = 21. Let d(m) = 3*m**2 - 1. Calculate the remainder when p is divided by d(2).
8
Suppose -4*c = 5*n - 0*n + 51, 3*c - 4*n = -15. Suppose 2*r = -2*r + 100. Calculate the remainder when r is divided by 3/c - 129/(-9).
11
Let y(a) = a**3 + 11*a**2 + 5*a + 6. Let c = -102 + 132. What is the remainder when y(-10) is divided by c?
26
Calculate the remainder when 205 is divided by 0 + 19 + (-92)/(-23).
21
Suppose 6 = 5*x - 3*h - 57, 4*x - 45 = -3*h. What is the remainder when 22 is divided by x?
10
Let i(a) = 4*a - 13. Suppose -24 = -2*d + 18. Let g = d - -23. What is the remainder when g is divided by i(7)?
14
Let b = 98 - 99. Calculate the remainder when ((-68)/170)/((-72)/70 - b) is divided by 10.
4
Suppose 0 = -3*s - 4*f + 4 + 5, -f - 15 = -5*s. Let o be 2 + 1 - s*1. Calculate the remainder when 37 is divided by 3 + -1 + o + 11.
11
Suppose -5*w + 6 = -2*y, -3*w = 2*y + 3*y - 16. Suppose -17*n + 4 = -15*n. Calculate the remainder when y is divided by n.
0
Suppose 6*p - 803 + 761 = 0. Let x(s) = s**2 - 3*s - 5. Calculate the remainder when p is divided by x(5).
2
Let v(u) = 3*u**3 - u**2 + u. Let z be v(1). Suppose 5*b - 69 = -n, z*n + n = -5*b + 291. Calculate the remainder when n is divided by 13.
9
Suppose -3*q = -12, 0 = 3*o - 27*q + 32*q - 80. Calculate the remainder when 21 is divided by o.
1
Suppose 3*q - 188 = -q. Suppose -2*c + 8 = 2*i, -2*c - i = -5*c + 24. Let w = c + 9. Calculate the remainder when q is divided by w.
15
Let u(t) = -2*t**3 - 6*t**2 - 7*t - 8. Suppose 4*a - 3 = -5*k - 12, -3*a = -5*k - 37. What is the remainder when u(k) is divided by 16?
15
Suppose -4*y + 0*l - 2*l + 288 = 0, y - 2*l = 82. Calculate the remainder when y is divided by 17.
6
Let r be ((-16)/12)/(8/(-60)). Suppose 0 = -r*b + 7*b + 15. Calculate the remainder when 17 is divided by b.
2
What is the remainder when 79 is divided by (-3196)/(-282)*3/2?
11
Suppose 0 = 4*h - 16 - 192. What is the remainder when h is divided by 11/(-2)*-2 - -3?
10
Suppose 9*s - 4*s + 45 = 0. Let n(t) be the second derivative of t**3/6 + 21*t**2/2 - 19*t. What is the remainder when 33 is divided by n(s)?
9
Let d(h) = 10*h - 3. Let l = 8 + -6. Calculate the remainder when d(l) is divided by 5.
2
Let i = -23 + 28. Suppose 5*w = 2*u - 44, -3*u + 8*w = i*w - 57. Calculate the remainder when u is divided by 7.
3
Let f = -27 - -74. Suppose -68 = -4*q - 5*g, 3*g + 85 = 5*q + g. Calculate the remainder when f is divided by q.
13
Suppose -89*f - 6504 = -94169. Calculate the remainder when f is divided by 58.
57
Let z(i) = 8*i**2 + 7*i + 5. Let g(o) = o**2 + 1. Let q(u) = -6*g(u) + z(u). Calculate the remainder when q(6) is divided by 29.
26
Suppose 0 = -4*o + m + 182, 1 = -2*m - 3. Let c(j) = j**3 - 6*j**2 + 4*j + 1. Let h be c(5). Let a = 12 - h. What is the remainder when o is divided by a?
13
Let i(x) = 78*x + 566. Calculate the remainder when 697 is divided by i(-7).
17
Let s = -5 + 7. Let z(w) = -s*w + 6*w**2 - w**3 - 5 + 8 - 3*w. What is the remainder when 43 is divided by z(4)?
13
Let s(v) = 2*v - 2. Suppose 0 = -0*c + c - 60. Calculate the remainder when c is divided by s(9).
12
Let x = -10 - -6. Let u(i) = -4*i - 11. Calculate the remainder when 22 is divided by u(x).
2
Suppose -4*r = -w + 6, 4*r - 2 = 2*r. Let t = 13 + -13. Suppose -f - 17 = -o, t*o - 2*o - 3*f = -44. Calculate the remainder when o is divided by w.
9
Let z = 10 - -24. Let m = -22 + 31. Calculate the remainder when z is divided by m.
7
Calculate the remainder when 890 is divided by 1/(-9) - -2*(-1290)/(-135).
16
Let t be (-5 + 2)/((-36)/(-24)). Let f be t/(-7) - 472/(-14). Let v = 76 - f. Calculate the remainder when v is divided by 15.
12
Suppose 0 = -5*g + 2*g + 1638. Let f be 2/12 - g/36. Let z = -2 - f. Calculate the remainder when z is divided by 5.
3
Let u = 39 + -14. Let l = 34 - u. Suppose 0 = -0*v - v + l. What is the remainder when 15 is divided by v?
6
Let r = -645 + 682. What is the remainder when 138 is divided by r?
27
Let g(c) = 27*c - 1. Suppose 25 = 3*d - 4*y, -39 = -5*d + 3*y + 10. Calculate the remainder when g(2) is divided by d.
9
Suppose 5*q - 23 = 22. Suppose -81*f + 83*f = -16. Let y = q - f. What is the remainder when y is divided by 6?
5
Let w = 100 - 86. Suppose c - 4 = w. What is the remainder when c is divided by 9?
0
Suppose 42*l - 32*l - 290 = 0. What is the remainder when 170 is divided by l?
25
Let d = -2310 - -2383. What is the remainder when 129 is divided by d?
56
Let f = -14 - -19. Suppose 5*z + f*p - 4*p - 1085 = 0, -5*z + 4*p + 1110 = 0. What is the remainder when z is divided by 17?
14
Suppose -8 = -52*b + 51*b. Calculate the remainder when 34 is divided by b.
2
Suppose 0 = 17*q - 11*q - 84. Calculate the remainder when q is divided by 4.
2
Suppose -v - 2*v = 4*d - 16, 0 = -4*v - 4*d + 20. Suppose -4*i = -v*s - 76, -2*s + s = -2*i + 35. Calculate the remainder when 108 is divided by i.
12
Suppose 0 = -60*r + 190 + 3770. What is the remainder when r is divided by 59?
7
Let f be -1*(6/2)/((-36)/(-120)). What is the remainder when 152/f*((-15)/6 - 0) is divided by 10?
8
Suppose -5*v + 60 = v. Calculate the remainder when 158 is divided by v.
8
Suppose 2*a + 2*i = 16, 2*i - 1 = a - 0*i. Suppose 3*u = -4*g + 4 + 3, -2*u - 2*g + 4 = 0. Let t = u + 8. Calculate the remainder when t is divided by a.
4
Let i be -5*2*(-2 - 0). Let z = i + -50. Calculate the remainder when (z/(-20))/((-1)/(-22)) is divided by 12.
9
Let u be 18/45 - (-148)/5. What is the remainder when 17 is divided by (-1)/(9/u)*-3?
7
Suppose 4*j + 52 = f, -144 = -4*f - 2*j + 46. Let x = 80 - f. Calculate the remainder when x is divided by (-258)/(-21) + (57/21 - 3).
8
Let v(h) = -h**2 + 4*h. Let d be v(5). Let n(p) = p**2 + 5. Calculate the remainder when n(d) is divided by 16.
14
Let h(v) = -13*v + 307. Calculate the remainder when h(17) is divided by 64.
22
Let x = 41 + -38. Suppose 128 = x*g - g. Calculate the remainder when g is divided by 14.
8
Let b(k) = -2*k**3 + 2*k**2 - 7*k - 3. Let a(h) = h**3 - 1. Let j(y) = -3*a(y) - b(y). Suppose -10 = -l + 9. Calculate the remainder when l is divided by j(-4).
9
Let w = 8 + -4. Let p be (-4)/26 + 22/(-26). What is the remainder when (0 - 195/5)*p/3 is divided by w?
1
Suppose -27 = 9*s - 0. Let k be ((-12)/15)/((-4)/(-10)). Calculate the remainder when (s - k)*(-217)/7 is divided by 11.
9
Suppose f - 85 = 5*m, 290 = 2*f + 3*f + 2*m. Let g(h) = -8*h - 3. Calculate the remainder when f is divided by g(-3).
18
Calculate the remainder when 7 + 42/(-5)*500/(-15) is divided by 14.
7
Suppose -2*v - 2 = -v. Let u(n) = 6*n - 2. Let a(g) = 17*g - 5. Let l(d) = -4*a(d) + 11*u(d). What is the remainder when 4 is divided by l(v)?
0
Let l(g) = g + 53. Suppose 4*f = 2*r + 2*r + 96, 5*r = 2*f - 120. What is the remainder when l(r) is divided by 8?
5
Suppose -4*g + 0*g = -16. Suppose -6*f + g*f + 24 = 0. What is the remainder when (18/f)/((-9)/(-444)) is divided by 25?
24
Let y(i) = -2*i - 10. Suppose -4*x - 21 = -x. Let d be y(x). What is the remainder when 2 is divided by (-1)/(4 + (-18)/d)?
0
Let b = -342 - -355. What is the remainder when 177 is divided by b?
8
Let w = -356 + 1036. Suppose 2*k - w = -3*k. Suppose 5*s - v - k - 124 = 0, -3*s + 149 = -2*v. What is the remainder when s is