 (-5 + 3)). Let n = o + u. Calculate the remainder when 14 is divided by n.
5
Let m = 128 - 105. Let q(x) = -x**3 + 6*x**2 - 5*x + 7. Let v be q(5). Let h = m - v. Calculate the remainder when 77 is divided by h.
13
Let r(n) = 14*n**2 + 19*n - 50. What is the remainder when r(3) is divided by 27?
25
Let v = 6 + -23. Let n = v - -36. What is the remainder when 75 is divided by n?
18
Suppose 0 = 3*t + 3*s - 30, 0 = 4*t - 3*s - 58 + 4. Let q(k) = -2*k + 11. Let x be ((-11)/(-4))/(11/(-44)). Calculate the remainder when q(x) is divided by t.
9
Suppose -10 = -3*g + 11. Suppose -472 = -c - g*c. Calculate the remainder when c is divided by 10.
9
Calculate the remainder when 135 is divided by (-2)/20 - 693/(-30).
20
Let y be (4 - 0)/(8/6). Suppose 6 = y*v - 390. Calculate the remainder when v is divided by 34.
30
Suppose 2*o - 5*o = 2*w - 50, 2*o = -4. Let b = -36 + 39. Suppose b*t + 5*m = 224, 4*t - 142 - 185 = -m. What is the remainder when t is divided by w?
27
Let y(m) = 48*m - 58. What is the remainder when y(3) is divided by 29?
28
Let g(p) = -9*p + 273. Suppose 2*x - 748 + 199 = -5*j, 0 = 4*j + 5*x - 429. What is the remainder when j is divided by g(24)?
54
Let c be (5 + (-295)/20)*(0 - 4). Suppose 0 = 9*v - c - 15. What is the remainder when 10 is divided by v?
4
Let f = -19 - -22. Let q be 9/(-2)*4/(-3). Suppose -f*l + 84 = -q. What is the remainder when l is divided by 11?
8
Let f be 2/(-4) + (-2)/4. Let t(p) = p**2 - 5*p + 34. Calculate the remainder when (f - -103) + -1*2 is divided by t(5).
32
Let p = 923 - 847. Suppose -s = 4*a - 13 - 30, -2*s - 4*a + 82 = 0. What is the remainder when p is divided by s?
37
Let t(j) = -j**3 - 7*j**2 - j - 6. Let h be t(-7). Suppose -3*d = -4*d + 23. Calculate the remainder when -4 - (-70 + -1 + h) is divided by d.
20
Suppose 5*c = 2*c + 33. Let y be 2/5 + 1112/20. Let r = y - 36. Calculate the remainder when r is divided by c.
9
Suppose -x = -3*d + 18 + 33, -3*x - 85 = -5*d. Suppose 0*p = p - d. Calculate the remainder when p is divided by 3.
2
Let y(b) = b**2 + b + 7. Suppose 6*a - 10 = 4*a. Suppose 0 = -2*n - 5 - 5, -a*s = -5*n. What is the remainder when y(s) is divided by 5?
2
Let k be (-6 - (-8)/1)*142/(-4). Let y = -32 - k. Calculate the remainder when y is divided by 10.
9
Let c(b) = 15*b + 26. Let q be c(6). Let s = q - 72. Let v(a) = -9*a - 4. What is the remainder when s is divided by v(-3)?
21
What is the remainder when 133 is divided by ((-1176)/980)/(3/(-35))?
7
Suppose 0 = -4*z + 7*z - 6. What is the remainder when ((-1)/5)/(9/(-450)) is divided by z?
0
Let o = 56 + -42. Suppose 0 = -5*a + 4*d - 3, 5*a + 3*d - 10 = a. Suppose a = -t + 6. What is the remainder when o is divided by t?
4
Let g = 59 - 58. What is the remainder when 133 is divided by (1/g*-3)/(1/(-9))?
25
Suppose -h + v = -4*v - 383, -5*v = 3*h - 1189. Calculate the remainder when h is divided by 18.
15
Suppose -g = -5*g + 128. Calculate the remainder when g is divided by (3 - 49/21) + (-17)/3*-2.
8
Let o(u) = -15*u + 3. Let x be o(-7). Suppose x = 3*h - h - r, -3*h = -r - 161. What is the remainder when h is divided by 18?
17
Let s = 128 + 2. Calculate the remainder when s is divided by 6.
4
Suppose -4*d = -d - 279. Calculate the remainder when d is divided by 28.
9
Suppose 2*m = -42 + 52. Suppose 3*v + 2*x - 36 = 0, 60 = m*v - 3*x - x. What is the remainder when v is divided by 8?
4
Suppose 0 = x + 2*x - 9. Suppose -x*o + 3*k = -40 - 203, 0 = -4*o + k + 318. Calculate the remainder when o is divided by 20.
19
Suppose -2*r = l - 5*r + 93, -5*l - 2*r = 397. Let u = -53 - l. Let d(t) = 15*t**3 + 2*t - 1. What is the remainder when u is divided by d(1)?
12
Let t(h) = h**2 - h - 12. Let f be t(0). Let k be 16/6 - 4/f. Suppose 0 = -k*g + 60 + 27. Calculate the remainder when g is divided by 8.
5
What is the remainder when 39 + (-3 - -8) + 1 is divided by 11?
1
Let z = 58 + -55. Suppose -3*l + 20 = -2*l - 2*k, 0 = -z*l + 4*k + 60. Calculate the remainder when 97 is divided by l.
17
Suppose -2*x - 302 = -5*p, 2*p - 64 = p + 4*x. Calculate the remainder when (-8)/p - 2416/(-120) is divided by 4.
0
Suppose 0 = -3*o + 4*o. Suppose 2*j - 3*j + 21 = o. What is the remainder when 41 is divided by j?
20
Suppose -8 = 8*g - 48. What is the remainder when 26 is divided by g?
1
Let c(s) = 2*s**3 + s**2 - 5*s + 3. Let w be c(2). What is the remainder when (33/9)/((26/12)/w) is divided by 13?
9
Let a(y) = -11*y - 6. Let l be a(4). Let j = l + 56. Calculate the remainder when 20 is divided by j.
2
Suppose -w = -4*x + 942, 5*x - 1181 = 4*w - w. What is the remainder when x is divided by 20?
15
Let s = 1509 + -1507. Let t(v) = v**3 - 5*v**2 - 8*v + 8. Let w be t(6). Let q = 3 - w. Calculate the remainder when q is divided by s.
1
Let b = 18 - 15. Suppose 0 = -b*x + 32 - 2. Suppose x - 39 = -a. What is the remainder when 113 is divided by a?
26
Suppose 1498 = 12*h + 382. Calculate the remainder when h is divided by 53.
40
Let t(d) = -61*d - 609. Calculate the remainder when 368 is divided by t(-12).
122
Suppose -3*y - 3*o = -o - 46, -4*o = 5*y - 80. What is the remainder when ((-36)/14)/(y/(-56)) is divided by 5?
2
Suppose 4*i + 47 = -5. Let b(s) = s + 18. Let j be b(i). Suppose -j*c + 48 = -m, 5*c - 33 + 0 = -4*m. Calculate the remainder when 23 is divided by c.
5
Let o = -25 - -28. Suppose 5*l = o*q - 99, 0 = q + l - 10 - 15. Calculate the remainder when 82 is divided by q.
26
Let s(z) be the first derivative of 10*z**3/3 - z**2/2 + z + 2. Let v be s(-1). Suppose -l - 2*l = -v. What is the remainder when 9 is divided by l?
1
Suppose 33 - 174 = -4*s + 3*t, -2*t - 70 = -2*s. Let l = -16 + 29. Calculate the remainder when s is divided by l.
10
Let z = 181 - 55. Suppose -8*o = o - z. What is the remainder when 41 is divided by o?
13
Let m(w) = w**2 + 7. Suppose -4*u - 5 = -c + 27, -3*u = 4*c - 33. Calculate the remainder when m(4) is divided by c.
11
Let b = -984 + 1040. Calculate the remainder when 274 is divided by b.
50
Let h(t) = -t**3 - 10*t**2 - 12*t - 13. Let a be h(-9). Suppose 5*i = -10, a*i - 13*i - 259 = -3*q. What is the remainder when q is divided by 18?
15
Suppose -2*n = 3*l - 33, 5 - 31 = -4*n + 2*l. Suppose -4*z = -n*z. What is the remainder when (-3 - -39 - 1) + z is divided by 9?
8
Let s = -116 + 231. Let w = 14 - 10. Suppose -8*o + 116 = -w*o. What is the remainder when s is divided by o?
28
Suppose -20 = 2*x - 4*y, 2*y - 10 = 2*x + 3*x. Suppose d + 5*w = -3 + 6, x = 5*d + 3*w + 51. Let h = d - -17. What is the remainder when 18 is divided by h?
3
Let t(j) be the second derivative of -j**5/10 - 5*j**4/6 - j**3/6 + 5*j**2/2 + 36*j. What is the remainder when 30 is divided by t(-5)?
0
Suppose -f - 4*x + 12 = -5*x, 5*x = -2*f + 59. Calculate the remainder when f is divided by 5.
2
Suppose 5*k + 4*c = 61 + 29, -4*c = -3*k + 86. Calculate the remainder when 30 is divided by k.
8
Let k be -8*(0 - -1)*-2. Suppose w - k = -5. Let f(r) = -6*r + 361. Calculate the remainder when f(55) is divided by w.
9
Calculate the remainder when (-20)/110 + (-266)/(-11) + 1 is divided by 9.
7
Let f be 199/6 - 3/18. Let y = f + -5. Calculate the remainder when -346*15/(-48) + 36/(-288) is divided by y.
24
Suppose -826*x = -818*x - 256. What is the remainder when 124 is divided by x?
28
Let i be (0 + -1)/(6/(-36)). Let y = -3 + i. Suppose -y*d + 11 = -10. What is the remainder when 11 is divided by d?
4
Let n(y) = y**3 + 24*y**2 - 27*y - 21. Calculate the remainder when n(-25) is divided by 6.
5
Let s(v) = v**3 + 26*v**2 - 64*v + 46. What is the remainder when s(-28) is divided by 8?
6
Let k be 3 - ((-5 - -2) + 8). Suppose 0 = -3*j - 11 + 2. Calculate the remainder when (-4)/k - j/3 is divided by 3.
0
Let s(h) = -h - 18. Let n be s(-18). Suppose 4*z - 6*z + 24 = n. What is the remainder when z is divided by 7?
5
Let k = -423 + 443. What is the remainder when 99 is divided by k?
19
Let x = -134 - -244. What is the remainder when x is divided by 23?
18
Suppose -3*r + 131 - 59 = 0. Calculate the remainder when r is divided by 15.
9
Suppose -2*u - h + 294 + 132 = 0, 4*u - 860 = 2*h. What is the remainder when u is divided by 74?
66
Suppose j - 18 = -c, 22*c - 17*c = -3*j + 54. Let i(x) = 5*x**2 - 3*x + 3. What is the remainder when i(4) is divided by j?
17
Su