Suppose 3*y - 282 = -2*l + 157, -5*y = -5*l - 690. Let u = y + -50. Calculate the remainder when u is divided by 32.
29
Suppose -8*n - 70 = -13*n. Suppose 2*h = 8 - 2. Calculate the remainder when n is divided by h.
2
Let s = -281 + 348. Calculate the remainder when 199 is divided by s.
65
Let x = 83 + -69. Suppose 0*g + 195 = 5*g. Calculate the remainder when g is divided by x.
11
Let l(q) = q**3 - 12*q**2 + 23*q - 110. Calculate the remainder when 438 is divided by l(11).
20
Suppose 0*g = -4*t - g + 298, 2*g - 221 = -3*t. Suppose 0 = -l + 4*l + t. Let v = l + 41. Calculate the remainder when 45 is divided by v.
13
Suppose -7*g - 243 = 387. Let x = -28 - g. Calculate the remainder when x is divided by 16.
14
Let p = 1081 - 861. Calculate the remainder when p is divided by 81.
58
Suppose -g - 2*g + 63 = 0. Let m(f) = f**2 - 7*f - 21. Let r be m(10). Let i = 20 - r. Calculate the remainder when g is divided by i.
10
Let h = 3156 - 3124. Calculate the remainder when 173 is divided by h.
13
Suppose 2*g + 0*g = -5*p - 20, 2*g = 0. Let r be 330/p*20/(-6). Suppose -20 - r = -5*c. What is the remainder when c is divided by 20?
19
Let w(l) = -l**2 + 11*l - 8. Let k be (-7)/(-14) + (-6)/4. Let d = 9 + k. Calculate the remainder when w(d) is divided by 6.
4
Suppose 3*d + 2*k = 11, 8 - 35 = -5*d + k. Suppose -5*q + d*p = -q - 190, -3*p - 44 = -q. Calculate the remainder when q is divided by 13.
11
Suppose 3*i - 2*i - 37 = -5*n, 66 = 2*i + 2*n. What is the remainder when i is divided by 13?
6
Let z(x) = 25*x - 12. What is the remainder when z(5) is divided by 19?
18
Let y be (0 - 3)/6*4/(-1). Suppose 2 = y*a - 18. What is the remainder when a is divided by 3?
1
Suppose 4*p - 5*n - 502 = 0, -3*p + 4*n = p - 504. Suppose -9*w + p = -w. Calculate the remainder when 77 is divided by w.
13
Suppose -2*y = 5*c - c - 10, 5*y - 55 = -4*c. Calculate the remainder when 67 is divided by y.
7
Let z(c) = -6*c - 67. What is the remainder when 233 is divided by z(-21)?
56
Let l = 1045 - 1015. What is the remainder when 264 is divided by l?
24
Let r be (-36)/15*(-40)/(-12). Let u = r + 18. Calculate the remainder when 17 is divided by u.
7
Suppose -23*h = -26*h + 30. Calculate the remainder when 24 is divided by h.
4
Let w = 123 + -123. Let p(z) = 4*z + z**2 + 1 - 5*z + 6. What is the remainder when 26 is divided by p(w)?
5
Let a(h) be the third derivative of 7*h**4/24 + 2*h**3/3 - 5*h**2. Let r = 43 + 28. What is the remainder when r is divided by a(2)?
17
Suppose -292 + 61 = -3*c. What is the remainder when c is divided by (-3)/(18/20)*-6?
17
Let f be 0/(4*3/12). Suppose -5*r - 35 = 5*t, -5*r + 3*r + t - 2 = f. Calculate the remainder when (-12)/r - (-30 + 3) is divided by 8.
7
Suppose 5*h - 5*c - 35 = 0, -3*h - c = -7*h + 19. Suppose 100 = 4*i + 4*y, 0 = 2*i + h*y - 6 - 44. Calculate the remainder when 196 is divided by i.
21
Suppose 12 = -6*n + 10*n. Let q(g) = 2*g**2 + g - 7. What is the remainder when 27 is divided by q(n)?
13
Let z(c) = -c**3 + 2*c**2 - 3*c + 14. Let x be z(-5). Suppose 4*v - 2*v = x. What is the remainder when v is divided by 35?
32
Let g(z) = -z**3 - 2*z**2 - 1. Let p = -16 + 13. Suppose 4*k + 8 = 0, -100 = -4*c + 2*k + 2*k. Calculate the remainder when c is divided by g(p).
7
Suppose -226 = -5*f - 51. What is the remainder when 133 is divided by f?
28
Let u(x) = -x**3 - 4*x**2 + 8*x + 6. Let q be u(-5). Let g = 2 - q. What is the remainder when 31 is divided by g?
9
Suppose -5*j - 2*j - j = 0. Suppose j = 22*z - 19*z - 132. Calculate the remainder when z is divided by 23.
21
Suppose -c = 2*c - 6. Let d(o) = o**3 - 2*o + 5*o**c + 2 - 6*o + 1. Calculate the remainder when d(-6) is divided by 8.
7
Suppose 74 = 3*d + 5*x, 5*x = -5*d - 0*d + 110. Calculate the remainder when 66 is divided by d.
12
Let h(w) = 6*w**2 - 5*w**2 - 3 + 7. What is the remainder when 13 is divided by h(0)?
1
Let q be (-42)/(-8) - 2/8. Let s be (-1299)/(-7) - (1 + (-30)/21). Suppose 2*z - i = 95 - 20, -i = -q*z + s. What is the remainder when z is divided by 13?
11
Suppose 20*t - 10*t = 170. What is the remainder when 42 is divided by t?
8
Let f be (3/1)/(-3 + 4). Let g be -3 - 9/3*f. Let a = 41 + g. Calculate the remainder when a is divided by 15.
14
Suppose -8 = -5*b + b. Let c be (-420)/54 - b/9. Let f(a) = -a + 1. What is the remainder when 52 is divided by f(c)?
7
Suppose -4*o = 8, -2*o - 212 = -2*d + 60. What is the remainder when d is divided by 10?
4
Let i(g) = -g**2 - 17*g + 5. Let n(h) = -h**3 + 9*h**2 + 11*h + 4. Calculate the remainder when n(10) is divided by i(-17).
4
Suppose 4*s - 225 = 5*n, 3*n + 270 = 5*s + 8*n. Calculate the remainder when 329 is divided by s.
54
Let m = -923 - -969. What is the remainder when 551 is divided by m?
45
Let r = 785 - 776. Calculate the remainder when 71 is divided by r.
8
Let h be 49/14 - 2*(-3)/(-12). Suppose -s = h*v - 4, s - 4*v + 31 = 6*s. What is the remainder when 2 - -16 - (1 + -3) is divided by s?
6
Let f = 31 + -19. Let l(t) = -t**3 + 9*t**2 - 8*t + 7. Suppose s = -2*s + 24. Calculate the remainder when f is divided by l(s).
5
What is the remainder when ((-12)/22)/(12/(-176)) is divided by 1?
0
Let a(k) = -k**3 - 15*k**2 + 30*k - 61. What is the remainder when 82 is divided by a(-17)?
5
Suppose 4*r = -r + v + 4641, -3*r + 4*v = -2771. Calculate the remainder when r is divided by 49.
47
Let m(r) = 4*r - 5. Let w(o) = o. Let f(p) = -m(p) + 3*w(p). Suppose -3*a = 10 + 2. What is the remainder when 35 is divided by f(a)?
8
Suppose 2*c + 3*c = 3*g - 29, 2*c = -8. Suppose g = y - 4. Let a = -5 + y. Calculate the remainder when 6 is divided by a.
0
Let b(r) = 29*r - 124. Calculate the remainder when 796 is divided by b(5).
19
Let y = -37 - -81. Suppose -167 + y = -3*g. Let h(w) = w**3 - w**2 - w + 14. What is the remainder when g is divided by h(0)?
13
Let f(c) = -8*c - 15. Let q(b) = 2*b**3 + 2*b**2 - 5*b - 6. Let p be q(-2). Calculate the remainder when 66 is divided by f(p).
15
Let i = -28 - -36. Let o(k) = k**2 - 4*k - 1. Let c be o(7). Suppose 2 = 2*q - 2*h - c, -3*q + 37 = h. Calculate the remainder when q is divided by i.
4
Suppose p - 4*p = 5*v - 34, 5*p + v - 20 = 0. Suppose -7 = -4*l - p, -67 = -c + 4*l. Calculate the remainder when c is divided by 9.
8
Suppose 8 = -i - 2. Let t = i + 13. Suppose 3*b - 33 = -t*k, -2*b - 12 = -5*b + 4*k. What is the remainder when 15 is divided by b?
7
Let x(i) = 3*i - 7. Let w = 13 + -10. Suppose -4*g - 2*y - w*y = -23, 0 = g + 3*y + 3. Calculate the remainder when x(g) is divided by 8.
5
Let f(z) = 3*z**2 - z + 1. Let c be f(2). Let b = c - 15. Calculate the remainder when 43 is divided by 35/5 - (b + 2).
7
Suppose 7*h - 4*h = -5*s + 72, -4*h = -5*s + 44. Calculate the remainder when 31 - -1 - (25 + -26) is divided by s.
9
Suppose -15*m = -2561 - 274. What is the remainder when m is divided by 64?
61
Let z be -2*(-42)/4 - 0. Suppose -b - 10 = -z. Suppose g - b = 14. Calculate the remainder when 98 is divided by g.
23
Suppose 9*u - 457 = -160. What is the remainder when u is divided by 12?
9
Let j(u) = u**3 - 6*u**2 - 9*u - 3. Calculate the remainder when j(11) is divided by 39.
35
Let j be -1 - ((-4)/(-1) + -3). Let q(m) = -2*m + 4. Let s be q(j). Calculate the remainder when s/20 + (-426)/(-10) is divided by 23.
20
What is the remainder when 206 is divided by (12/5)/(1/(-105)*-6)?
38
Let x be 0*(9 - 5 - 3). Let z(w) = 14 + 5*w**3 - w**3 - 3*w**3. What is the remainder when z(x) is divided by 4?
2
Let u(a) = -a - 3. Suppose -5*v + 58 + 12 = -5*p, 4*v = 3*p + 52. Suppose v = 8*w - 6*w. What is the remainder when w is divided by u(-5)?
1
Let r = -59 + 80. Suppose -2226 = -r*f + 630. Calculate the remainder when f is divided by 35.
31
Calculate the remainder when (606/(-202))/((-1)/87) is divided by 89.
83
Suppose 18*k = -5*k + 3266. What is the remainder when k is divided by 9?
7
Let c(y) = -y + 4. Suppose l + 0*l = 2*r + 75, 3*r - 55 = -l. Let m = -52 + l. Calculate the remainder when m is divided by c(-4).
7
Suppose 5*f = 3*b + 6, 3*f = -b - 4 + 16. Calculate the remainder when 5 is divided by b.
2
Let o = -27 - -85. Let k = -29 + o. What is the remainder when k is divided by 16?
13
Let a(p) = -6*p + 79. Let f(z) = z - 16. Suppose -n + 33 = -4*n. Let t(s) = n*f(s) - 2*a(s). Wh