n d is divided by u(-7).
3
Suppose -3*s - 6*y = -3*y - 633, 0 = -2*s - 3*y + 420. Let z = 11 + 11. What is the remainder when z is divided by s/18 + 2 + 33/(-18)?
10
Let m be 8 + 16 + (-2 - 0). Suppose -m = -u - 9. Let s(l) = -l**2 + 13*l + 1. Calculate the remainder when 2 is divided by s(u).
0
Let r(x) be the third derivative of 5*x**4/24 - 5*x**3 + 21*x**2. Calculate the remainder when 39 is divided by r(8).
9
Let h(t) = -4*t**3 + t**2 + 8*t - 21. What is the remainder when h(-4) is divided by 13?
11
Suppose 56 = 10*x - 274. Calculate the remainder when x is divided by 18.
15
Let w = 23 + -40. Let q = w + 13. Let z = 5 - q. What is the remainder when 34 is divided by z?
7
Suppose -5*s + 127 = 2*m, 26*s - 39 = 25*s + 3*m. Let f(j) = 4*j**2 - 5*j + 6. What is the remainder when f(4) is divided by s?
23
Suppose -4*r - 5 = -13. Suppose r*n + 3*n - 35 = 0. Calculate the remainder when 48 is divided by n.
6
Suppose -w + 18 + 11 = -5*c, w - 3*c - 37 = 0. Calculate the remainder when w is divided by 26.
23
Suppose 2*v - v + 3*n = 23, 3*n = -2*v + 58. Let y = v + -14. What is the remainder when 60 is divided by y?
18
Suppose g = t + 2*t - 175, -2*t = 5*g - 111. Calculate the remainder when t is divided by (-567)/(-36) + (-2)/(-8).
10
Suppose -4*r + 3*r = 0, 3*r = -4*g + 60. Let q = 7 + g. Calculate the remainder when (-4)/18 + (-785)/(-9) is divided by q.
21
Suppose 0*h = -5*r - 2*h + 131, 4*r + 3*h - 109 = 0. What is the remainder when 166 is divided by r?
16
Let q(v) = v**3 + 45*v**2 - 55*v - 383. Suppose 4*w - 13 = 7. Suppose -4*h - 11 = -w*h. Calculate the remainder when q(-46) is divided by h.
9
Suppose -2*z = 2*z - 8. Let i = 259 + -254. Suppose -z*v = 3*v - i. What is the remainder when v is divided by 1?
0
Suppose 79 = 5*q - 116. Suppose 0 = -7*h + 2*h + 5*f + 35, -2*f + 16 = h. Calculate the remainder when q is divided by h.
9
Suppose 0 = -p - p + 148. Let j(w) = 13*w**2 - 2*w - 1. Let u be j(-2). Let r = u + -30. Calculate the remainder when p is divided by r.
24
Suppose 0 = -d - 2*m + 29, -8 = -2*m - 16. What is the remainder when 70 is divided by d?
33
Let u = 5 - 2. Let f be (6/2)/(u/34). Suppose 0 = 3*w - f + 4. Calculate the remainder when 18 is divided by w.
8
Suppose -41 = 15*q - 18*q + z, -4*q - 4*z + 60 = 0. Calculate the remainder when 16 is divided by q.
2
Let s(n) = 2*n + 13. Let k be s(-6). Let m(l) = 51*l + 2. What is the remainder when m(k) is divided by 14?
11
Let h = 55 + -32. Suppose 0 = -4*m - 3*v + 16 + h, 3*m + 2*v = 28. Calculate the remainder when 35 is divided by m.
5
Suppose -8*w = -11*w + 6. Suppose 106 = 4*v + w*j, j - 34 = -v + 2*j. What is the remainder when 55 is divided by v?
26
Let b = -2 - -13. Suppose 104 = 4*l + 4*j, -2*l + 29 = -l + 4*j. Suppose l = -o + 6*o. What is the remainder when b is divided by o?
1
Suppose -2*q + 2*g = 3*q - 218, -g = -3*q + 130. What is the remainder when q is divided by 12?
6
Let k(o) = o + 4 - o + 9*o + 0. Suppose -3*n + 6 = -2*n. Calculate the remainder when k(2) is divided by n.
4
Let n(p) = 2*p + 100. What is the remainder when 141 is divided by n(-23)?
33
What is the remainder when 83 is divided by (0 - -66)*(-58)/(-174)?
17
Let l(g) = 5*g**2 - 93*g - 58. What is the remainder when l(22) is divided by 42?
22
Let s = 68 + -32. Suppose 22*m + 16 = 21*m. Let i = m + s. Calculate the remainder when 76 is divided by i.
16
Let h = 9 - 4. Let u = h - 0. Suppose 0 = -23*a + 22*a - 5*f + 22, -2*a - 8 = -3*f. Calculate the remainder when u is divided by a.
1
Let w(b) = 13*b**2 + 8*b - 40. What is the remainder when w(-6) is divided by 131?
118
Let i = 305 - 231. What is the remainder when i is divided by 39?
35
Suppose 7*j = 4*j. Suppose 4*r - 5*w - 425 = j, 0 = -3*r + 2*r + 4*w + 98. Calculate the remainder when r is divided by 29.
23
Let z(k) = -15*k - 5. Suppose -4*m = 3*n - 106, -9*m = -4*m - 5*n - 150. Calculate the remainder when z(-4) is divided by m.
27
Let j be 5/(-10) - (-23)/(-2). Let x = -3 + 31. Calculate the remainder when x is divided by (16/j)/((-4)/30).
8
Suppose 3*y - 5*q - 17 = 5, -2*y - 4*q = 0. Suppose t - 42 = d - y, -4*t = 5*d - 116. Calculate the remainder when t is divided by 3/12 - (-70)/8.
7
Suppose 20 = -l + 8. Let p = 11 + 2. Let w = l + p. Calculate the remainder when 2 is divided by w.
0
Let m(y) = -5*y**3 - 7*y**2 - y - 1. Let s(a) = -9*a**3 - 14*a**2 - 3*a - 1. Let w(v) = 7*m(v) - 4*s(v). Calculate the remainder when 65 is divided by w(-5).
21
Let z(j) = 31*j**3 - 3*j**2 - 3*j + 5. What is the remainder when 84 is divided by z(1)?
24
Let y be -12 + (1 + -9 - -4). Let l = y + 24. Calculate the remainder when 15 is divided by l.
7
Let j = 643 + -588. What is the remainder when j is divided by 7?
6
Let h be (-27)/6*-1 + (-5)/10. Suppose -h*j + 39 = -13. Suppose -2*m + 147 = m. What is the remainder when m is divided by j?
10
Suppose -202*m + 196*m + 294 = 0. What is the remainder when 291 is divided by m?
46
Calculate the remainder when 363 is divided by (5/(-25))/(-2*7/12390).
9
Let z(h) = 22*h**3 - h**2 - h + 1. Let q be z(1). Suppose 531 = 30*r - q*r. What is the remainder when r is divided by 6?
5
Let h = 4 + -10. Let v = h - -9. Suppose o = v*o - 6. What is the remainder when o is divided by 1?
0
Let g = -64 + 30. Let j = -19 - g. Let x = -56 - -83. Calculate the remainder when x is divided by j.
12
Let s(t) = -3*t**2 - 54*t + 33. What is the remainder when 427 is divided by s(-18)?
31
Let x(i) = 13*i - 435. What is the remainder when x(52) is divided by 29?
9
Suppose -74*m + 265 = -1585. What is the remainder when 95 is divided by m?
20
Let p(f) = -2*f - f**3 - 3*f**2 + 5 + 2*f**3 + 6*f. Suppose 0 = -2*h + 3*h - 4. What is the remainder when p(h) is divided by 10?
7
Let g(a) = -4*a - 20. Let n be ((-1)/2)/((-9)/(-126)). Calculate the remainder when g(n) is divided by -1*(-3*1 + -2).
3
Let r = 454 + -336. What is the remainder when r is divided by 18?
10
Let g(l) = l**2 + l - 3. Let y be g(5). Suppose y = 2*j - 9. What is the remainder when 34 is divided by j?
16
Let f(l) = 10*l + 13. Suppose -104 = 4*k - 4*r, -3*r = 3*k - 1 + 55. Let d = 38 + k. What is the remainder when f(5) is divided by d?
15
Suppose -105*k = -116*k + 1375. Calculate the remainder when k is divided by 43.
39
Let p = 274 + -93. Suppose y + 4*l = 69, -p = -5*y - 4*l + 100. What is the remainder when y is divided by ((-11)/(-4))/((-2)/(-8))?
9
Let m = 19 - 15. Suppose -m*b = 1 - 21. Suppose b*h + 3*q + 0*q - 68 = 0, h + 5*q - 18 = 0. Calculate the remainder when 51 is divided by h.
12
Let n(s) = -2*s**3 - s**2 + 4*s + 1. Let p(x) = 3*x**2 + 4*x - 6. What is the remainder when n(-4) is divided by p(-3)?
7
Let w(f) = -60*f**3 - 2*f**2 - 2*f - 1. Let u be w(-1). Let t = u - -42. What is the remainder when t is divided by 35?
31
Let g(b) = 12 - 6*b**2 - 6 + 7*b**2 + 4*b. What is the remainder when g(-8) is divided by 15?
8
Suppose x = -3*x + 16. Suppose w + x*o - 9 = 0, -o + 16 = w - 4*o. Let h = 29 - w. Calculate the remainder when 46 is divided by h.
14
Let g(h) = -h**3 + 15*h**2 + 3*h - 21. Let r be g(15). Let z(m) = -m**2 + 14*m - 30. Calculate the remainder when z(8) is divided by r/132 + 216/22.
8
Suppose 4*v + 4176 = 22*v. Calculate the remainder when v is divided by 26.
24
Suppose -4*o + 9*o - 260 = 0. What is the remainder when 151 is divided by o?
47
Let u = -598 + 696. Let z be 134/4 + (-3)/6. Calculate the remainder when u is divided by (z/(-12))/(1/(-12)).
32
Let h(l) = -l**3 - 3*l**2 - 4. Let s be h(-3). Calculate the remainder when 133 is divided by -1*(4 - (-2)/s*62).
25
Suppose 4*x - 2*h - 280 = 0, -2*x + 5*h = -203 + 71. Suppose o = -9 + x. Calculate the remainder when o is divided by 16.
14
Suppose d + 0*t = -5*t + 74, 2*t = -5*d + 439. Suppose 0 = -43*r + 38*r + 745. Suppose -81 = -10*l + r. Calculate the remainder when d is divided by l.
20
Let t = 17 - -13. What is the remainder when t is divided by 8?
6
Suppose -15*h = 2*b - 11*h - 358, -877 = -5*b - 4*h. What is the remainder when b is divided by 40?
13
Let w = 49 - -14. Suppose 3*t - r + 2*r = w, -t = -3*r - 21. What is the remainder when 41 is divided by t?
20
Suppose -115 = 5*s - 4*l - 839, 3*s - 4*l - 428 = 0. Calculate the remainder when s is divided by 7.
1
Suppose 5*s - 3*c - 104 = -29, 4*c = -3*s 