
Suppose -4 = -2*b - 2*w, -5*b - 2*w = -3 - 13. Suppose 3 = b*n - n. Calculate the remainder when n is divided by 0 - -1 - (-7 - -7).
0
Suppose 3*w - 367 = -55. Suppose 3*s = -3*k + 3 + 30, 0 = -2*s - k + 18. What is the remainder when w is divided by s?
6
Let s(k) = -18*k**3 - 3*k - 2. Let r(n) = -n**3 - 7*n**2 - 6*n - 7. Calculate the remainder when r(-7) is divided by s(-1).
16
Let u(j) = -j**3 - 9*j**2 - 31*j - 139. Calculate the remainder when u(-9) is divided by 39.
23
Suppose 0 = c + 4*j - 7, -j - 26 = -2*c - 5*j. Let d = 71 - c. Calculate the remainder when d is divided by 19.
14
Suppose 5*s = 4*j + 765, -7*s - 2*j = -5*s - 324. What is the remainder when s is divided by 40?
37
Let b(o) = 2*o**2 + o - 2. Let a be b(-2). Let s be (1 - a)*(0 - 1). Suppose s*y = 4 + 44. What is the remainder when 29 is divided by y?
13
Let f = -16 + 28. Let a be (-4)/16*2*-2. Let c = a + f. What is the remainder when 25 is divided by c?
12
Suppose -12 - 39 = -3*z. Suppose 2*r + 2*b - 57 = r, 2*b = 3*r - 139. Calculate the remainder when r*(1 - (0 - 0)) is divided by z.
15
Let i be (-33)/(-22)*(1 + 2/(-6)). What is the remainder when 2 is divided by (4/12)/i*6?
0
Suppose 4*x - 2*t - 294 = 0, 8*x + 81 = 9*x + t. Calculate the remainder when x is divided by 13.
11
Calculate the remainder when 12/78 - 11848/(-52) is divided by 29.
25
Let w = -1363 + 1425. Calculate the remainder when w is divided by (1 + -2)*-1*21.
20
Suppose 79 = 3*z - 2*z. Let o = z - 53. Calculate the remainder when o is divided by 9.
8
Calculate the remainder when 42 is divided by (-4)/(-18) - 2170/(-279).
2
Let c(p) = -19*p - 6. Suppose -276 = -3*v + 4*r, -r - 276 = -3*v - 0*v. What is the remainder when v is divided by c(-2)?
28
Let a(b) = -8*b - 40. Let h be a(-5). Suppose 4*x + 4*s - 52 = h, x + 4*s - 70 = -4*x. Calculate the remainder when x is divided by 7.
4
Suppose 193 = 3*t - 23. Suppose 4*s - 24 - t = 0. Let v = 45 - s. Calculate the remainder when 82 is divided by v.
19
Suppose 36 = -7*d + 645. What is the remainder when d is divided by 33?
21
Let v(s) = 4*s**2 + 8*s + 3. Calculate the remainder when v(-5) is divided by -22*(-2)/8*(8 - 6).
8
Suppose -5*w = 5, 2*t - 15 = -2*t - w. Let r(g) = -11*g + 294. Calculate the remainder when r(26) is divided by t.
0
Let n(x) be the first derivative of -x**3/3 - 4*x**2 + 7*x - 4. Suppose z = -5*a + 40, a - 6*a = 4*z - 205. Calculate the remainder when z is divided by n(-6).
17
Let b = 216 + -180. Calculate the remainder when 464 is divided by b.
32
Let l(s) = s + 12. Let f be l(-5). Suppose -f*t + 356 = -3*t. Let r = t + -58. What is the remainder when r is divided by 11?
9
Suppose -3 = -3*s + 9. Let t = 108 - 52. Suppose -2*i - 2*v = v - t, -s*i + 112 = -v. Calculate the remainder when i is divided by 15.
13
Suppose -h = l - 1, 2*h + 1 = -5*l + 9. Let b(p) = p**2 + 1. Calculate the remainder when l is divided by b(-1).
0
Let q = 3 - -12. Suppose -g = -5 + 2. Suppose -3 = -2*f - 3*h, 30 = -0*f + g*f - 4*h. Calculate the remainder when q is divided by f.
3
Suppose b = -2*b. Suppose 4*q - 5*q + 31 = b. Calculate the remainder when 58 is divided by q.
27
Suppose 11*h - 21 = 8*h. Suppose -h*g = -8*g - 23. Let v = g + 57. Calculate the remainder when 101 is divided by v.
33
Suppose -2*f - 6 - 16 = -z, 5*z = -20. Let l = 12 - f. What is the remainder when l is divided by (-3)/2*168/(-18)?
11
Suppose -5*p = -3*g - 3, 3*p - g - 1 = 5*p. Suppose -142 = -2*v + 8. What is the remainder when v is divided by (0 + p - -2)/((-2)/(-13))?
10
What is the remainder when 31 is divided by (-4)/24 - (12325/30)/(-17)?
7
Let f = 304 - 220. What is the remainder when f is divided by 19?
8
Let d = 284 + -195. What is the remainder when d is divided by 10?
9
What is the remainder when 219 is divided by 56 + 1 + (-13)/((-13)/5)?
33
Suppose 3*m - 15 = -9. Suppose 2 = -m*z + 3*z. What is the remainder when 7 is divided by z?
1
Let w = -7 - -18. Suppose 4*y + 4*b = 126 - 42, -2*b + 90 = 5*y. What is the remainder when (-2)/y + 674/16 is divided by w?
9
Let b be 6/1*(-6)/9. Let l = b + 88. Suppose -146 = -5*n + l. What is the remainder when n is divided by 16?
14
Let i(q) = q**3 + 25*q**2 + 24*q + 6. Let m be i(-24). Let w = 22 + 7. Calculate the remainder when w is divided by (-4 + m)*30/4.
14
Let m = 158 - 46. What is the remainder when m is divided by 6?
4
Let y be (3 - 2) + (0 - 2). Let j be (3/y - -17) + 2. Let d = j + -11. Calculate the remainder when d is divided by 2.
1
Let v = 33 + -42. What is the remainder when 237/2*(24/v)/(-4) is divided by 9?
7
Let q be (12/10)/((-6)/(-75)). Suppose -7*r + 4*r = -q. Suppose -17 = -2*p + r*h, -5*p = -0*p + 4*h - 59. Calculate the remainder when 41 is divided by p.
8
Suppose 3*k = 106 + 38. Let t = 272 + -265. What is the remainder when k is divided by t?
6
Let o(m) = -67*m + 424. Suppose -1 = -y + 5. What is the remainder when o(6) is divided by y?
4
Let k = 148 + -144. What is the remainder when 50 is divided by k?
2
Let t be 3 + -6 - 12/(-2). Suppose 0 = -5*n - 3*r - 161, 83 = -t*n - 0*r + 5*r. Let f = 12 - n. What is the remainder when f is divided by 22?
21
Suppose 3*a = -a - 3*i - 4, -4*a - 4 = 2*i. Calculate the remainder when 2 - (8 + -4) - (-17 + a) is divided by 5.
1
Let l(q) = q**2 + 12*q + 21. Suppose 0 = -5*p + 10, -2*o - 4*p = -o - 4. Calculate the remainder when l(-11) is divided by (o/10)/((-3)/30).
2
Let i(z) = 28*z + 1. What is the remainder when 10*(20/200 - 27/(-5)) is divided by i(1)?
26
Suppose -5*k = w - 26 - 9, w = 4*k + 17. What is the remainder when 100 is divided by w?
0
Let h = 579 - 557. What is the remainder when 68 is divided by h?
2
Suppose -23 = -c - 0*c. Calculate the remainder when c is divided by (6/8)/((-24)/(-256)).
7
Let n = -291 + 413. Suppose -5*j + n + 93 = 0. Calculate the remainder when j is divided by 15.
13
Let j(n) = -n**3 + 14*n**2 + 31*n + 26. Let w be j(16). Let d(f) = -f**2 + 14*f - 31. Calculate the remainder when 30 is divided by d(w).
3
Suppose 4 = -4*t + 96. What is the remainder when t is divided by ((-2)/(-5))/(5 + (-1788)/360)?
11
Let q(b) = -b**2 - 7*b - 10. Let r be q(-4). Suppose -2*h + 20 = r*h. Suppose -2*l = -207 - h. What is the remainder when l is divided by 18?
16
Let u be (72/45)/((-2)/(-10)). Suppose 4*z - u = 0, 0*z = 5*j - 3*z - 229. Suppose -y = 3*y - 48. Calculate the remainder when j is divided by y.
11
Let c(w) = w + 34. Let f(u) = u**2 + 29*u + 36. What is the remainder when f(-31) is divided by c(0)?
30
Suppose 40 = 3*x + 2*x - 3*k, 5*x - k = 50. Let u = -7 + x. Let l = -543 - -545. Calculate the remainder when u is divided by l.
0
Suppose -3*n + 46 = l - 14, -3*n = 3*l - 162. Suppose -4*z + 3*z + l = 0. Let o = z - 10. What is the remainder when o is divided by 14?
13
Suppose 0 = -5*j + 2*j + 837. Let q = -196 + j. Calculate the remainder when q is divided by 21.
20
Suppose 140 = 7*x + 3*x. What is the remainder when 304 is divided by x?
10
Let t(m) = -55*m**2 + 386*m - 4. Calculate the remainder when 83 is divided by t(7).
2
Let p(n) = -n**3 - 4*n**2 + n - 5. Let g be p(-6). Suppose 3*o = 6, 3*i + 3*o + 72 = -0*i. Let z = i + g. What is the remainder when z is divided by 12?
11
Suppose 0 = -3*n + 5 + 16. Let c(f) = f**3 + 5*f**2 - 9*f - 7. Let h = -22 + 16. Calculate the remainder when c(h) is divided by n.
4
Let q(b) = 0*b**2 - 2*b**2 + 3*b**2 + 2*b + 0 - 8. Let u = 51 - 30. What is the remainder when q(-8) is divided by u?
19
Suppose -5 = 4*t - 17. Suppose -5*m = 2*x - t*x + 18, -2*x + m + 18 = 0. Calculate the remainder when 38 is divided by (-5)/((-28)/x - -3).
8
Let k = 2579 + -2485. Calculate the remainder when 356 is divided by k.
74
Let y = -412 + 438. Calculate the remainder when 415 is divided by y.
25
Let u = -1 + 4. Suppose 5*i = -u*m + 45, -2*i - 3*m = -m - 14. Suppose 0 = 2*o + 2, -10*o + 9*o + 45 = v. What is the remainder when v is divided by i?
10
Suppose u - l - 220 = 3*u, -12 = -3*l. Let b = 159 + u. What is the remainder when b is divided by 16?
15
Let l = -10 + 14. Suppose -10 = -4*f + 6. Suppose 2*b = f*g + 14, g = -2*g - 6. Calculate the remainder when l is divided by b.
1
Let p(n) be the third derivative of -n**4/24 - n**3/2 + 6*n**2. Let m = -28 + 45. What is the remainder when m is divided by p(-7)?
1
Let p(i) = -3*i