2
Let g(n) = -n**2 + n - 3. Let i be g(-4). Let u = 46 + i. Let w(r) = -r**2 + 10*r - 9. Calculate the remainder when u is divided by w(7).
11
Let i(x) = x**3 + 15*x**2 + 8*x - 16. Let b be i(-8). Suppose 13 = -5*k + b. What is the remainder when k is divided by 9?
8
Let u = 50 + -23. Let f = 33 - 30. What is the remainder when u is divided by f*((-92)/(-21) + 10/35)?
13
Suppose 0*m + 4*m = -4*c - 412, 4*m + 5*c + 413 = 0. Let g = -85 - m. Calculate the remainder when 66 is divided by g.
15
Let k = 138 - 124. What is the remainder when 37 is divided by k?
9
Let g = 27 - -34. What is the remainder when g is divided by 7?
5
Let v = 50 - 17. Let j = v - 24. Calculate the remainder when 61 is divided by j.
7
Calculate the remainder when 2/(4/46) + 171/(-57) is divided by -2 + -10*2/(-2).
4
Suppose -4*j + 89 = -19. What is the remainder when 105 is divided by j?
24
Suppose d + 10 = 3*d. Let j be (1 + -6)/(d - 6). Suppose -j*l + 45 = 5*c - 0*l, 3*l + 6 = 0. What is the remainder when 41 is divided by c?
8
Suppose -49*t = -22*t - 4050. What is the remainder when t is divided by 40?
30
Suppose -4*b + 50 - 2 = 0. Let h(r) = r**2 - 9*r - 24. Suppose 10*x = 6*x - 3*m - 11, 5*m - 35 = 4*x. Calculate the remainder when h(x) is divided by b.
10
Let f = 79 - 51. What is the remainder when f is divided by 11?
6
Suppose -3*w - 1224 = -37*w. Calculate the remainder when 94 is divided by w.
22
Suppose 0 = -17*h + 21*h - 180. Suppose 28*m - 25*m = h. Let l = -9 + 52. Calculate the remainder when l is divided by m.
13
Let l = 11 - 6. Suppose 8 = -l*n + 68. Calculate the remainder when 34 is divided by n.
10
Suppose -2*m = -4874 + 4830. Calculate the remainder when 245 is divided by m.
3
Suppose 2*x - 3*l - 164 = 2*l, x - 75 = -l. Let r = x - 45. What is the remainder when 59 is divided by r?
27
Let a = 28 - 28. Let j(v) = v**2 + 23. Let y be j(a). Suppose 2*l + 0*o = -5*o + 26, 0 = 5*l + 2*o - y. Calculate the remainder when 4 is divided by l.
1
Suppose -9*h + 0*h = -360. Suppose -2*d = -5*n - d + 74, -2*d = n - 6. Let l = 7 + n. What is the remainder when h is divided by l?
19
Let j = -12 - -12. Let a be -4 + (22 + j - 0). Suppose -28 = -m + 4*z, m = -6*z + 5*z + a. What is the remainder when m is divided by 6?
2
Let q(r) = 180*r**2 - 5*r + 6. Calculate the remainder when q(1) is divided by 72.
37
Let n(r) = 3*r**2 - 4. Let a(q) = -13*q**2 + 15. Let t(p) = 2*a(p) + 9*n(p). Let y be t(0). Calculate the remainder when (-8)/(-16)*(0 - y) is divided by 3.
0
Suppose -3*k - 2*k - 49 = -3*p, 0 = 3*k + 3*p + 15. Let l = k + 11. What is the remainder when (-1)/(l/(-45)) - 0 is divided by 4?
3
Let f = 798 - 357. Suppose 0 = -19*c + 10*c + f. Suppose -2*d + 23 = -3. What is the remainder when c is divided by d?
10
Let z = -714 - -1384. What is the remainder when z is divided by 21?
19
Let c(i) = -i - 14. Suppose 0 = -l + 2*l + 8. Let t be c(l). What is the remainder when 41 is divided by 215/10 - 3/t?
19
Suppose 2*z - 4 = -0*z. Calculate the remainder when 69 is divided by 7/(-7) + 5*z.
6
Suppose -b + 0*i + i = -1, -3*b = -4*i + 1. Suppose 0 = -a - b*a + 120. What is the remainder when 37 is divided by a?
17
Let a = 279 + -261. Calculate the remainder when 158 is divided by a.
14
Let l = 141 + -114. Suppose 2*y - 328 = -62. What is the remainder when y is divided by l?
25
Let s(u) = -3*u**3 + u**2 + u - 3. Suppose 2*m + 3*m - 110 = 0. Calculate the remainder when s(-3) is divided by m.
18
Let y(c) = -c**3 + 10*c**2 + 26. Calculate the remainder when y(8) is divided by 12.
10
Let v(w) = -25*w - 9. What is the remainder when v(-2) is divided by 15?
11
Let o be (6/(-14))/(12/(-84)). Suppose -3*q - p + 8 = -4, o*p - 8 = -2*q. Calculate the remainder when 5 is divided by q.
1
Let f be (0/1)/(0 - -2). Suppose 2*v + 302 = 4*u, f = -5*u - 5*v + v + 397. Let t = 288 + -262. What is the remainder when u is divided by t?
25
Let u(q) = -14 + 19*q - q**2 + q - 3*q. Let z = -22 + 36. Calculate the remainder when u(6) is divided by z.
10
Let p(c) = -10*c + 404. What is the remainder when p(0) is divided by 7?
5
Suppose -24*n - 84 = -36*n. Calculate the remainder when 0 - -13 - 4/2 is divided by n.
4
Suppose -4*s - s = -80. Suppose -25*n + 23*n + 5*v = -122, -3*n + 3*v = -183. What is the remainder when n is divided by s?
13
Suppose 177*f = 182*f - z - 122, -f + 5*z + 34 = 0. Calculate the remainder when 122/6*(-6)/(-2) is divided by f.
13
Let k = -1 - -5. What is the remainder when 1 - (-8 + 1 + 1) is divided by (-10)/(-4)*(6 - k)?
2
Suppose -161*u - 455 = -166*u. Calculate the remainder when u is divided by 16.
11
Let z = -244 + 251. Calculate the remainder when 26 is divided by z.
5
Suppose v + 128 - 291 = 0. Calculate the remainder when v is divided by 36.
19
Suppose 5*q - 24 = o, q - 3*o = 4 - 2. Suppose 0*l + 9 = d + 4*l, q*d = 4*l - 75. Let r = 8 - d. Calculate the remainder when r is divided by 7.
5
Let g be ((-37)/4 - 3)*-4. Suppose -53*l = -g*l - 260. What is the remainder when l is divided by 14?
9
Suppose 82 = h + 5*c - 97, c = 5*h - 921. Calculate the remainder when h is divided by 35.
9
Let n(t) = -2*t - 3. Let d = -83 - -88. Suppose 2*s = d - 1. Calculate the remainder when n(-5) is divided by s.
1
Suppose -6*v + 6 + 6 = 0. Suppose -97 = -5*m + v*r, m - 2 - 20 = 3*r. Calculate the remainder when m is divided by 8.
3
Suppose 2*w + x - 18 = w, -3*x = -3*w + 60. What is the remainder when 93 is divided by w?
17
Calculate the remainder when (237/9 + -1)*45/60 is divided by 6.
1
Suppose -b + 4*o = -4, 2*b - 7*o - 17 = -2*o. What is the remainder when 57 is divided by b?
9
Let y(c) = 13*c - 25. Let z(d) = d + 14. Calculate the remainder when y(9) is divided by z(5).
16
Suppose 2*y - 67 = s, 2*y = 4*s + s + 87. What is the remainder when y is divided by 16?
15
Suppose -12326 = -4*q + 2*m, -3*m - 728 = q - 3792. Calculate the remainder when q is divided by 46.
43
Suppose 0*o = 12*o - 1188. What is the remainder when o is divided by 34?
31
Let l(y) = 36*y + 115. Calculate the remainder when 28 is divided by l(-3).
0
Let v be (4/2)/((-4)/(-54)). Suppose 4*z = 2*c + 94, 4*c = -3*z + 4*z - v. Calculate the remainder when 67 is divided by z.
21
Suppose 2*p = -5 + 71. Let n = -37 - -49. What is the remainder when p is divided by n?
9
Let y = -31 - -208. Calculate the remainder when y is divided by 71.
35
Let n(q) = q**3 + 22*q**2 + 20*q - 13. What is the remainder when 45 is divided by n(-21)?
5
Let h = -845 + 939. Suppose 0 = -2*s - 26 + 74. Calculate the remainder when h is divided by s.
22
Let l = 490 + -414. Calculate the remainder when l is divided by 30.
16
Let c(s) = -s**3 - 19*s**2 + 2. Let h be c(-19). Suppose h*z - 15 = 11. Let t(i) = -3*i + 7. What is the remainder when t(-6) is divided by z?
12
Let m(i) = -i - 4. Let g be m(-6). Suppose -2*q - g*q = 2*k - 290, 219 = 3*q + k. Let p = 311 - 292. What is the remainder when q is divided by p?
17
Let i = 160 - 134. Calculate the remainder when 66 is divided by i.
14
Suppose -4*k - 356 = -8*k + 4*l, -l = 4. Calculate the remainder when k is divided by 22.
19
Let y = -386 - -460. What is the remainder when y is divided by 10 + 0 - (-5 - -4)?
8
What is the remainder when 19/(-3*6/(-54)) is divided by 68/7 - 8/(-28)?
7
Let c(i) = i**2 - i - 5. Let d be c(4). Let x = 4 - d. Calculate the remainder when 3 - 3 - x - -61 is divided by 22.
20
Suppose -162 = 5*p - 387. Calculate the remainder when p is divided by (4 - (-98)/(-21))/((-4)/138).
22
Let k(t) = -2*t - 3. Suppose -5*z - m + 9 = 0, 5*z - m + 5*m - 6 = 0. Let p = 1 + z. Calculate the remainder when k(-7) is divided by p.
2
Suppose -2*q = 0, 4*x - 2*q = -3*q + 32. What is the remainder when 718 is divided by x?
6
Let j = -64 - -91. Let s(h) = -51*h**3 - h**2 - 2*h - 1. Suppose 0*d - 5*d - 3*c + 7 = 0, -5*c = -2*d - 22. What is the remainder when s(d) is divided by j?
24
Let n = 2759 + -2441. What is the remainder when n is divided by 106?
0
Let x = 231 + -131. Suppose 135 = 5*o - z + 4*z, x = 5*o - 4*z. Suppose -3 = 2*c - 23. Calculate the remainder when o is divided by c.
4
Let q(s) = 18*s**3 + 6*s - 5. Calculate the remainder when q(1) is divided by ((-5)/3)/(2/(-12)).
9
Let j = 97 + -43. Let b = j + -19. Let t = 299 + -197. Calculate the remainder when t is divided by b.
32
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