
Let w = -33 + 59. Suppose -2*t + 3*b + 18 = 0, -2*t + 28*b - w*b = -16. Calculate the remainder when 23 is divided by t.
5
What is the remainder when 84 is divided by 2 + -2 + (-15)/(-10)*18?
3
Suppose 0 = 76*z - 3252 + 744. What is the remainder when 150 is divided by z?
18
Suppose 0*l - 3*r = -3*l + 6, -5*r - 19 = -2*l. Calculate the remainder when ((-777)/(-35) - l)/((-2)/(-10)) is divided by -1 - (-1 - 16/1).
14
Suppose -148 = -4*z - 0*z. Let u be 2*(-3)/(-6)*5. Suppose 3*g - u*g = -16. What is the remainder when z is divided by g?
5
Let v(b) be the second derivative of -b**4/12 + 7*b**3/3 + 4*b**2 - 159*b. Calculate the remainder when 79 is divided by v(12).
15
Let m(b) = -b**2 + 17*b + 405. Calculate the remainder when m(-11) is divided by ((-4)/6)/((-6)/225).
22
Let z(x) = x**2 - 133*x - 667. What is the remainder when 192 is divided by z(-5)?
8
Let u(v) = -v**3 + 27*v**2 + 62*v - 34. Calculate the remainder when 737 is divided by u(29).
81
Calculate the remainder when 49 is divided by 1 - (-12 - -2) - (-3 - -3).
5
Let u(z) = 12*z**2 + 102*z + 18. Let x be u(-9). Suppose 813*v - x = 805*v. Suppose 0*a = 2*a - 100. Calculate the remainder when a is divided by v.
5
Suppose 3*v = 370*y - 365*y - 2863, -4*y - v = -2270. What is the remainder when y is divided by 26?
23
Suppose 266*l - 15 = 269*l. Calculate the remainder when -4 - ((l - (0 - 0)) + -591) is divided by 27.
25
Suppose -8*y + 7*y + 5*q + 18340 = 0, 4*y - 73408 = -4*q. What is the remainder when y is divided by 148?
146
Suppose 4*l = -3*y - 364 + 132, 4*l + 228 = -4*y. Let u = l + 66. Calculate the remainder when 29 is divided by u.
4
Let g be (5/(-10) - -1)*80. Let h = g + -27. Suppose 0 = t + 4*m + 5, 0 = 2*t - 5*t + 2*m + h. Calculate the remainder when t is divided by 1.
0
Suppose -150 = 3*o + 2*o. Let s = 50 + o. Calculate the remainder when s is divided by (95/25 + 1)/((-18)/(-30)).
4
Let t = -4 - -23. Let r = -2355 - -2369. What is the remainder when t is divided by r?
5
Suppose 6*f = 887 - 185. Let i(z) = -z**3 + 8*z**2 + 24*z - 20. Calculate the remainder when f is divided by i(10).
17
Let o(i) = 25*i**2 - 398*i - 30. Let p(y) = 0*y**3 + 2*y - 1 + 5*y**2 + y**3 + 0*y. What is the remainder when p(-4) is divided by o(16)?
1
Let z be 234/(-24)*(3 + -11). Let c = 127 - z. Calculate the remainder when 61 is divided by c.
12
Let s(y) = 2*y**3 + 341*y**2 - 215*y + 536. Calculate the remainder when s(-171) is divided by 8.
4
Let a be 15/6 + (-2 - 3/(-2)). Suppose 0 = -3*y + a*x - 5 - 3, -y = -2*x. What is the remainder when 45 is divided by 2*-9*y/6?
9
Let v = -3423 - -3436. What is the remainder when 141 is divided by v?
11
Suppose 575*d = 186*d + 1643914. What is the remainder when d is divided by 94?
90
Let v = -1148 + -2778. What is the remainder when (-4)/(-18) - v/234 is divided by 9?
8
Suppose 418 - 385 = 3*l. What is the remainder when 2526 is divided by l?
7
Suppose -60*f = -41*f - 5301. Calculate the remainder when f is divided by 5.
4
Let o = -1372 + 1649. What is the remainder when o is divided by 80?
37
Let h(f) = 2480*f**3 + 9*f**2 + 26*f - 34. What is the remainder when h(1) is divided by 23?
20
Let w = 32 - 28. Let y(z) = -z**3 + 8*z**2 - 7*z - 4. Calculate the remainder when y(6) is divided by 6*(-1 - w)/(-5).
2
Suppose i + 12 = -2*p, -p = 7 - 4. Calculate the remainder when 263 is divided by ((-88)/(i - -4))/1.
43
Calculate the remainder when 2153 is divided by 418/190 + 14256/20.
8
Suppose -24*j = 34*j - 10556. Suppose -2*m - 4 = 0, 3*c = 5*c + m - j. Calculate the remainder when c is divided by 0 + 1 + 23*1.
20
Let o(b) = -b**2 - 5*b - 16. Let w be o(-5). Let v = -4 - -9. What is the remainder when w/40 - (-87)/v is divided by 6?
5
Suppose -4*f - 49 = -157. Suppose f = -3*g + 3. What is the remainder when (-2)/8 + 3 + (-850)/g is divided by 22?
21
Suppose -8*t = -4*t + 5*h + 9, 0 = -t - 5*h - 21. Let b be (-1)/((t/14)/(-2)). Suppose 0 = -2*d + 89 + b. Calculate the remainder when d is divided by 13.
9
Suppose 2*f = -0*f + 6. What is the remainder when -54*(f/(-36) - 102/72) is divided by 34?
13
Let l = 252 + -249. Suppose -l*x = -153 - 21. What is the remainder when 172 is divided by x?
56
Suppose -o = o + 16. Let q(z) = -4*z + 8. Calculate the remainder when q(o) is divided by 31.
9
Let w = 551 - 436. Let f = w + -89. Calculate the remainder when f is divided by 7.
5
Suppose 0*u + 3*u - 97 = -k, -k - 141 = -4*u. Let c = 18042 + -18033. What is the remainder when u is divided by c?
7
Let w = -102 - 227. Let n = w - -339. What is the remainder when 57 is divided by n?
7
Let y(c) = 8*c - 153. Let a(z) = z**3 + z**2 + z - 2. Let j be a(0). What is the remainder when y(30) is divided by (-30)/((-1)/(j/(-2)))?
27
Let y be 69/2*(-234)/(-27). Suppose l - 309 = -y. Let h(s) = -3*s**3 + 2*s**2 + 2*s. Calculate the remainder when h(-2) is divided by l.
8
Let p(x) = -41*x - 1235. What is the remainder when p(-35) is divided by 36?
20
Let c(m) = -m**2 - 7*m + 2. Let i be c(-8). Let q be 1*(-46)/i*-9*-5. Suppose -6*p + q = -3*p. What is the remainder when p is divided by 30?
25
Suppose 54*h + 7040 = 33*h + 241*h. What is the remainder when 91 is divided by h?
27
Let v(z) = -27*z + 33. Let n(s) = -13*s + 16. Let h(x) = -13*n(x) + 6*v(x). Let d be h(-4). Let g = d - -49. What is the remainder when 54 is divided by g?
10
Let z = 33 + -16. Suppose 3*k = -2 + z. Suppose -3*x = 2*l - k*x - 46, -4*l = -3*x - 95. What is the remainder when 50 is divided by l?
24
Suppose -53*c + 53732 = 15*c - 40*c. What is the remainder when c is divided by 120?
119
Suppose 2*s = -5*j - 175, -2*s - 3*j = 133 + 44. Let m = s + 144. What is the remainder when m is divided by 21?
12
Suppose -38*b + 2269 - 1319 = 0. Calculate the remainder when 520 is divided by b.
20
Suppose -14*q - 5*w = -8*q - 37, 5*q = -2*w + 33. What is the remainder when 13/(2 + (-1 - 0)) is divided by q?
6
Let f = -5863 + 5912. What is the remainder when 1268 is divided by f?
43
Suppose -20*j - 654 = -2534. What is the remainder when 151 is divided by j?
57
Let u(k) = k**2 - 17*k - 1010. Calculate the remainder when 116 is divided by u(43).
8
Let b(t) = 9*t**3 + 24*t**2 - 32*t + 4. Let x(y) = -2*y**3 - y**2 - y - 1. Let a(s) = -b(s) - 5*x(s). What is the remainder when a(17) is divided by 7?
3
Let r(v) = 15*v**2 + 4*v + 4. Let u be r(-1). Suppose -j = u - 16. What is the remainder when j*(-1 - -2) - -103 is divided by 27?
23
Let b(k) = k**2 + 2*k + 12. Let s be b(0). Suppose -19*z + 15*z = s. What is the remainder when 290/6 - z*(-1)/9 is divided by 26?
22
Let n(i) = 5*i**2 - 88*i + 8. Let q(m) = 16*m**2 - 264*m + 24. Let o(h) = 11*n(h) - 4*q(h). Calculate the remainder when o(9) is divided by 8.
7
Let s(r) = 5*r - 82. Suppose 3*q = 3*l + 2*l - 39, -1 = l - 5*q. Calculate the remainder when s(23) is divided by l.
6
Suppose 0 = -3*j - t + 24 + 15, 21 = 2*j - t. Suppose -2*n = n + j, 2*n - 32 = -5*s. What is the remainder when 16 is divided by s?
0
Calculate the remainder when 8638 is divided by (10/6 + 1)*(9 - 4 - -4).
22
Let q(a) = 2*a**3 + 125*a**2 - 64*a - 35. Calculate the remainder when 642 is divided by q(-63).
26
Suppose 3*o = -u + 191 + 16, o - 637 = -3*u. Suppose 2*p + 5*g + 65 = 273, 4*p - 460 = g. Let i = u - p. What is the remainder when i is divided by 17?
14
Suppose 29 = 3*j - 2*q, -3*q + 67 = j + 3*j. Suppose -j = -3*r + 203. Suppose 11*x - r = 3*x. Calculate the remainder when 35 is divided by x.
8
Suppose 2*v + 336 = 3*v. Suppose -4*g + v = -5*j, -j - 4 = g - 88. What is the remainder when g is divided by 22?
18
Let q be 1/(-4) + 5/((-20)/(-33)). Let k(o) = -4*o - q + o - o + 17. What is the remainder when k(-10) is divided by 13?
10
Let x = 6396 + -6318. What is the remainder when 9357 is divided by x?
75
Let j = 34 + -27. Let m(n) be the second derivative of n**4/6 - 3*n**3/2 + 7*n**2/2 - 22*n. Calculate the remainder when m(j) is divided by 11.
9
Let w = 126 - 42. Let c = w - 38. Calculate the remainder when c is divided by 18.
10
Let m = 226 - 86. Suppose -13*t + 1355 = -m. Calculate the remainder when t is divided by 15.
10
Let j(x) be the second derivative of -43*x**3/6 + 116*x**2 - 263*x. Let s(u) = -2*u**3 - 5*u - 2. What is the remainder when s(-3) is divided by j(5)?
16
Suppose 5*t - 42 = -a - 