e remainder when f is divided by u.
22
Suppose -4*w - 5*v + 91 = 0, -3*w + 125 = 2*w + 4*v. Let a(o) = 2*o**2 + 48*o - 321. What is the remainder when a(7) is divided by w?
26
Let j be (-5 + 84/18)/((-1)/(-3)). Calculate the remainder when j*(-3)/12 + (-812)/(-16) is divided by 9.
6
Suppose -2*v + 2*n = -5*v + 172, -3*n + 113 = 2*v. What is the remainder when 219 is divided by v?
45
Suppose -6*h + 32 = 2. Suppose 4 = 4*k, -k = h*i - 0*k + 49. Let p = i - -39. Calculate the remainder when 83 is divided by p.
25
What is the remainder when (-1 + 4)/(3/17) is divided by 3/(-7) - 59*(-2)/14?
1
Suppose 0 = -5*c - 18 + 53. Suppose -4*b = -c*b + 111. Let j(n) = -n**3 + 14*n**2 - 12*n + 7. What is the remainder when b is divided by j(13)?
17
Let n = 206 + -190. Calculate the remainder when 142 is divided by n.
14
Let c(n) = -n**3 - 8*n**2 + 13*n + 46. What is the remainder when 147 is divided by c(-9)?
7
Let i(y) = -48*y + 17. Calculate the remainder when i(-1) is divided by 25.
15
Let v(l) = 21*l + 105. Let p(d) = 14*d + 70. Let u(h) = -7*p(h) + 5*v(h). Calculate the remainder when u(5) is divided by 15.
10
Let g(b) = 8 + 1 - 10 + 4 - b. Suppose -4*i + 25 = 5*q, -2*q - i + 10 = 2*i. Calculate the remainder when q is divided by g(1).
1
Suppose -c + 2*z = -9, -4*c + c - z + 55 = 0. Let o = -17 + c. Suppose 2*m - 5*w - 4 = o, 2*m - 12 = 3*w - 0*w. What is the remainder when m is divided by 4?
0
Let m = -275 + 348. Calculate the remainder when 213 is divided by m.
67
Suppose 0 = -5*w - 0*l + l + 95, -5*l - 79 = -3*w. Let j = 17 + 17. Calculate the remainder when j is divided by w.
16
Suppose -4*w - 280 = -2*y, -3*y - 6*w + w + 365 = 0. Suppose 9*d - 277 - 119 = 0. What is the remainder when y is divided by d?
42
Suppose 3*b = -2*g + b - 2, -3*g = 5*b - 1. Let k be 3/g*(0 + 1). Let t(a) = -10*a**3 + a**2 + a - 1. Calculate the remainder when 62 is divided by t(k).
8
Let o = -126 + 128. Suppose 38 = -o*p + 76. Calculate the remainder when 36 is divided by p.
17
Let u be 0 + (48/(-4))/(-4). Suppose 3*x - 11 = 2*d, -5*d - 13 + u = -4*x. Suppose 4 = 5*w - 1. What is the remainder when d is divided by w?
0
Let s = -479 - -519. Calculate the remainder when s is divided by 36.
4
Suppose -5*j - 3*h = -6*j + 141, 0 = 5*j - h - 733. What is the remainder when j is divided by 90/(-4)*8/(-12)?
12
Let z be (-4)/6*(-16 - 2). Suppose 0 = 4*n - 5*n + z. Suppose -i - 2 = -y, y - 5*i + 2 = -0. Calculate the remainder when n is divided by y.
0
Let m = 559 - 282. Calculate the remainder when m is divided by 40.
37
Let u = 2171 + -2145. Calculate the remainder when 125 is divided by u.
21
Let u = 563 + -513. Calculate the remainder when 71 is divided by u.
21
Suppose p = -2*p - 4*u + 416, -5*p - 2*u = -698. Suppose -4*c - 60 = -p. What is the remainder when 76 is divided by c?
16
Let b(w) = 18*w - 3. Suppose -10 = -5*f + 4*y, 4 = 2*f - 4*y - y. What is the remainder when b(f) is divided by ((-34)/(-4))/((4/2)/4)?
16
Suppose -22*v = -20*v - 102. Let p = -43 + v. What is the remainder when p is divided by 1?
0
Let w = 116 - 70. Suppose -q = -7*q. Suppose 3*b - 43 + 7 = q. What is the remainder when w is divided by b?
10
Let g be (-4)/(((-22)/12)/11). Suppose -g = -6*i + 2*i. Suppose -t + 26 - i = 0. What is the remainder when t is divided by 11?
9
What is the remainder when 0 + -5 - (17 - 83) is divided by 23?
15
Let n = 184 + -155. Calculate the remainder when n is divided by 6.
5
Suppose 7 = i + 11*j - 16*j, 4*j = -3*i + 116. Let b(v) = -9*v - 13. What is the remainder when b(-12) is divided by i?
31
Let j = -12 + 18. Suppose n - 35 = j*n. Let s = 10 + n. What is the remainder when s is divided by 2?
1
Let f be 1 - (-1 + 10/(-5)). Let n(u) = 10*u - 12. Calculate the remainder when 82 is divided by n(f).
26
Suppose -3*t - 1 = -19. What is the remainder when 4/1 + -4 + t is divided by 2?
0
Let w(n) = 11*n**2 + 3*n - 2. Calculate the remainder when 28 is divided by w(1).
4
Suppose -60 = -5*p - 0. Suppose 9*z - 284 = 5*z. Calculate the remainder when z is divided by p.
11
Let j = -29 - -41. Suppose 4*b = t + 129, 0 = 59*t - 56*t + 3. Calculate the remainder when b is divided by j.
8
Suppose 0 = 4*k - 0 - 24. Calculate the remainder when k is divided by 6/(-17)*1445/(-255).
0
Let m(c) = 3*c**3 - 2*c**2 + c + 2. Let p be m(2). Suppose -p = -g - 11. What is the remainder when 154/10 - (-14)/(-35) is divided by g?
6
Suppose -5*z = 4*j - 3085, -408*z + 410*z - 1246 = -4*j. Calculate the remainder when z is divided by 45.
28
What is the remainder when (-32)/176 - (-2600)/22 is divided by 41?
36
Suppose -a - 2*j = -0*a - 34, -a = -5*j + 1. Let y = a + -6. Calculate the remainder when (-6)/4*(-156)/y is divided by 4.
1
Let w = 5112 - 5080. Let f(x) = -13*x + 6. What is the remainder when f(-9) is divided by w?
27
Suppose -w = 3*x - 119, -w + 64 = -2*x + 150. What is the remainder when 652 is divided by x?
37
Suppose 0 = -6*x + 60 + 72. Suppose 4*b + 164 = 3*o - 0*o, 3*b - 59 = -o. Let r = -13 + o. What is the remainder when r is divided by x?
21
Let j = 2512 - 2144. What is the remainder when j is divided by 184?
0
What is the remainder when 188 is divided by (1 + -9)*341/176*-4?
2
Let l = -13 + 152. What is the remainder when l is divided by 24?
19
Let u(a) = -a**3 + 2*a**2 - a. Let n be u(1). Suppose -3*z + 6 + 33 = n. Calculate the remainder when (0 + 63)/3 - -3 is divided by z.
11
Let w = -13 - -19. Suppose 5*y - w = 2*y. Calculate the remainder when (-9 + 4)/(y/(-6)) is divided by 4.
3
Suppose 2*h - 56 = -2*d, -37 = 4*d - 21. What is the remainder when 63 is divided by h?
31
Let q(j) = -j**2 + 5*j - 7. Let g be q(6). Let v = g + 8. Calculate the remainder when 20 is divided by 2/((-6)/165*v).
9
Let o = 32 + 24. What is the remainder when 95 is divided by (o/12)/((-8)/(-84))?
46
Suppose v - 5*v = -120. Suppose 0*j + 3*j = v. Let k(l) = -l**2 - 12*l - 3. What is the remainder when k(-10) is divided by j?
7
Suppose 0*j = -j + 41. Suppose 2 = c + 4. Calculate the remainder when j is divided by (1 + -2)/(c/22).
8
Suppose -24 = 2*p - 0*p. Let q = p - -17. Let d = 1 - -6. What is the remainder when d is divided by q?
2
Let n(a) = a + 51. Calculate the remainder when 115 is divided by n(-16).
10
Suppose -2*h + 109 = 5*s + 2, 2*s - 46 = -4*h. Let m be 7/(28/(-8)) + s. Let k = -10 + m. Calculate the remainder when 15 is divided by k.
6
Let t = 27 + -9. Suppose -10 = 4*u - t. Suppose 3*w - 25 = -p - u, 0 = 2*p + 4*w - 48. Calculate the remainder when 77 is divided by p.
25
Let u = -166 - -174. Let h(b) = b + 5. Calculate the remainder when h(9) is divided by u.
6
Let v = -18 - 6. Let i = v - -26. Suppose 3*w + i*w + 5 = 0, -118 = -t - 2*w. Calculate the remainder when t is divided by 41.
38
Let o = 1151 + -1145. Calculate the remainder when 15/1 - (-3 - -3) is divided by o.
3
Let r(q) = q**3 + 9*q**2 - 7*q - 3. Calculate the remainder when r(-9) is divided by 11.
5
Calculate the remainder when 529 is divided by (-3302)/(-38) - (-98)/931.
7
Let j(n) = n**3 + 15*n**2 + 33. Calculate the remainder when j(-15) is divided by 7.
5
Suppose -5*i + 334 = 4*h, 22*i - 260 = 18*i + 4*h. What is the remainder when i is divided by 36?
30
Suppose 119*v + h = 124*v - 959, 5*h = -v + 171. Suppose -2*t = -3*g + 90, -3*g - 5*t - 15 = -126. What is the remainder when v is divided by g?
31
Let n(u) = 38*u + 2001. Suppose -6*b - 5*m = -2*b - 77, 3*b + 2*m = 56. Let c = 25 - b. What is the remainder when n(-52) is divided by c?
4
Suppose -19*w = 2*m - 15*w - 58, -50 = -m + 5*w. What is the remainder when 67 is divided by m?
32
Let b(l) = -l + 5. Let a be b(-7). Let m = -9 + a. Suppose 2*o + y = 4, 5*o = 2*y - 4 + 23. Calculate the remainder when m is divided by o.
0
Let c(b) = -b**3 - b**2 - 6. Let n be c(0). Let r(g) = -g - 10. Let m be r(n). Let s = m + 6. What is the remainder when s is divided by 2?
0
Let g(j) be the first derivative of j**3 + 3*j**2 + 6*j + 27. Let m = 19 + -13. Calculate the remainder when g(-3) is divided by m.
3
Suppose -2*n = 3*a + 126, 5*n - 4*n + 3*a + 66 = 0. Calculate the remainder when 277/5 - 3/(n/(-8)) is divided by 14.
13
Let x(c) = c + 6. Let u(f) be the second derivative of -f**4/4 - f**3/2 - f**2 - 3*f. Let y be u(-1). What is the remainder when x(y) is divided by 2?
0
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