5*w = 2*c - 1084, -1396 = -5*c - 4*w. What is the remainder when c is divided by 40?
36
Let k(j) = j**2 - j - 4. Let n be -4*14*(-3)/24. Let u be k(n). Suppose -2*d + 4*d = u. Calculate the remainder when d is divided by 8.
3
Let o = 169 + -138. What is the remainder when 160 is divided by o?
5
Suppose -4278 = -54*a - 15*a. Calculate the remainder when a is divided by 46.
16
Let a be (2 - 1)*(-29 - -91). Suppose -61*c = -a*c + 151. What is the remainder when c is divided by 39?
34
What is the remainder when 355 is divided by (6 + -5)*4*(-1 - -6)?
15
Let x = -330 + 339. Calculate the remainder when 188 is divided by x.
8
Let q = 1202 + -1166. Calculate the remainder when 103 is divided by q.
31
Let s(r) = -r**3 - 6*r**2 + 4*r + 1. Let g be s(-7). What is the remainder when 42 is divided by (-119)/(-11) + 4/g?
9
Let y(i) = i**3 - 3*i**2 + 3*i - 6. Let r = -1 - -5. What is the remainder when y(4) is divided by r?
2
Let u(d) be the third derivative of d**4/3 + d**3/6 - d**2. Suppose 9 + 55 = 4*t. Calculate the remainder when t is divided by u(1).
7
Suppose -4*r + 54 + 30 = 0. Let h = -28 + 23. What is the remainder when r is divided by (22/h)/(26/(-65))?
10
Let u = 12 + 0. Suppose 2*b + 16 = 82. Let s = 68 - b. Calculate the remainder when s is divided by u.
11
What is the remainder when (-14)/70 - (-768)/40 is divided by 10?
9
Let j = -9 + 8. Let x be ((-11)/(-44))/(j/(-12)). Suppose -289 = -5*i - 2*n, -x*i = n - 163 - 10. What is the remainder when i is divided by 15?
12
Suppose -o + 152 = -5*u, 182*u - 183*u + 408 = 3*o. Calculate the remainder when o is divided by 20.
17
Suppose 0 = 8*p - 5*p - 4*a - 422, 2*a + 722 = 5*p. What is the remainder when p is divided by 37?
35
Let z be ((-8)/(-6))/((-2)/(-3)). Suppose -3*a - 8 - 29 = -z*w, 45 = 5*w + 2*a. What is the remainder when w is divided by 9?
2
Suppose 2*j - 42 = 3*g, -2*j + 2*g + 44 = -0*j. Calculate the remainder when 382 is divided by j.
22
Suppose -v = 2*r - 1472, -5*r + 3677 = -12*v + 16*v. Calculate the remainder when r is divided by 106.
101
Suppose -3*w - 8 = -56. Let b = 5 + -55. Let c = 13 - b. Calculate the remainder when c is divided by w.
15
Calculate the remainder when (-1078)/(-9) - (-6 - (-52)/9) is divided by 25.
20
Suppose 0 = -4*u - 4*o + 83 + 57, 4*o = -3*u + 109. Suppose 39*b - 484 = -5*b. What is the remainder when u is divided by b?
9
Let w = -995 - -1003. Calculate the remainder when 32 is divided by w.
0
Let w be ((-5)/(-20))/(1/4). Let j be (w - -1)/((-6)/(-18)). Let c = 8 + j. Calculate the remainder when 53 is divided by c.
11
Let h = 21 - 21. Suppose 10*p - 16*p + 18 = h. What is the remainder when 10 is divided by p?
1
Let f be (-6 + 8)/(2/2). Suppose 4*x = f*x. What is the remainder when (-4 + 3)*(-78 + x) is divided by 27?
24
Suppose 2*q + 8 = -2*a, 4*q - 3*q + 5*a = -4. Let s(t) = -27*t + 3. Calculate the remainder when s(q) is divided by 28.
27
Suppose 12 = 11*g + 1. Let k(d) = 12*d**2 + 2*d - 2. Calculate the remainder when 107 is divided by k(g).
11
Let x be (-5 - (1 - 3)) + 21. Suppose -4*q + x = 2*q. Suppose -3*i + 42 = q*w - 2*i, i - 56 = -4*w. What is the remainder when 54 is divided by w?
12
Suppose -t - 2 = 0, 0*t - 15 = -k + 4*t. Suppose -k*m + 87 = -4*m. What is the remainder when m is divided by 10?
9
Suppose 0*o = o - 72. What is the remainder when 140 is divided by o?
68
Let k(j) = j**3 - 16*j**2 - 19*j + 41. What is the remainder when 61 is divided by k(17)?
5
Let l(k) = k**3 + 7*k**2 + 9*k + 31. What is the remainder when 311 is divided by l(-6)?
12
Suppose 12*k - 80 = 2*k. Calculate the remainder when 933 is divided by k.
5
Let y = -2 - -17. Let r = y + -9. Calculate the remainder when 45 is divided by r.
3
Let c(u) = u - 7. Let z(d) = -d**2 - 15*d. Let k be z(-14). Calculate the remainder when 24 is divided by c(k).
3
Let s(c) = 13 - 6*c + 76*c - 3*c - 22. Calculate the remainder when s(4) is divided by 65.
64
Suppose -257 = -4*g - 89. What is the remainder when 417 is divided by g?
39
Suppose -4*l = 2 - 6. Calculate the remainder when l/1 + (1 - 1 - -31) is divided by 5.
2
Let i = -190 - -126. Suppose -3*d + 3*c = -360, 5*d - 3*c = 536 + 64. Let x = d + i. Calculate the remainder when x is divided by 29.
27
Let c(f) = 12*f + 8. Let d(o) = 13*o + 7. Let l(w) = 6*c(w) - 5*d(w). Suppose -4*x + 49 = -19. Calculate the remainder when l(5) is divided by x.
14
Let j = -50 - -53. Suppose -24 = -j*a - a + 2*s, 12 = 2*a - 4*s. Calculate the remainder when 32 is divided by a.
2
Suppose 5*f - 3*f = 32. What is the remainder when f/(-12) + (-184)/(-3) is divided by 21?
18
Suppose -4*h + 5*i + 33 = 0, -2*h - 3*i - 3 = -3*h. Calculate the remainder when 36 is divided by h.
0
Let x(c) = -2*c + 264. Calculate the remainder when x(-14) is divided by 25.
17
Suppose -2*z + 1 + 9 = 0. Suppose 0*y - y - z*a = 21, 5*y = -5*a - 25. What is the remainder when 34 is divided by y/4*-2*18?
7
Let u be ((-34)/2 - 1)*(-16)/12. Let s = 19 - 4. Let p = u - s. Calculate the remainder when 35 is divided by p.
8
Let g(a) = 54*a - 507. Calculate the remainder when g(17) is divided by 46.
43
Suppose -52 = 32*r - 33*r. Calculate the remainder when 274 is divided by r.
14
What is the remainder when 77 is divided by 3 + (11 + -20)*-2?
14
Suppose 3*b + k - 267 - 103 = 0, -4*k - 270 = -2*b. Let q(g) = 2*g**2 - 8*g + 8. Calculate the remainder when b is divided by q(6).
29
Suppose 167*h = 156*h + 682. What is the remainder when 145 is divided by h?
21
Let d(q) = -5*q - 6*q + 3*q + 2 - 10. Let h be d(-16). Suppose -6*o + o + h = 0. What is the remainder when 45 is divided by o?
21
Suppose 5*j + 15 = 0, 2*g = 6*j - 11*j + 21. Calculate the remainder when 332 is divided by g.
8
Suppose 0*m + 60 = -10*m. What is the remainder when ((-44)/8 - -2)*m is divided by 14?
7
Let c = -407 - -424. Let t(w) be the third derivative of w**6/120 + w**5/12 + w**4/8 + 5*w**3/6 + w**2. What is the remainder when c is divided by t(-4)?
8
Suppose 0*x + 6 = -3*x. Let z(w) = -w**3 - 2*w**2 - 4*w - 5. What is the remainder when 22 is divided by z(x)?
1
Calculate the remainder when 106 is divided by (0 - (-12)/8)*6.
7
Suppose -7 - 22 = -2*s + p, -3*s = 2*p - 26. Calculate the remainder when 4*(1 - (-2 + -1)) is divided by s.
4
Suppose 0 = -10*x + 11*x - 56. Suppose 0 = -4*p - 0*p + x. Calculate the remainder when 60 is divided by 2/7 - (-290)/p.
18
Let r = 2836 + -2770. Let f = -40 - -74. Calculate the remainder when r is divided by f.
32
Suppose -16*q + 12*q + 20 = 0. Suppose 5*f - 283 = -2*c + 240, 0 = -f + q*c + 83. Calculate the remainder when f is divided by 21.
19
Let s(n) = -4*n + 9. Let w be s(6). Let t = -11 - w. Suppose 3*i + 18 = 3*y, -5*i - 15 = -2*y - 0*i. What is the remainder when y is divided by t?
1
Suppose 8*p - 3*p - 20 = -4*n, 2*p + 3*n - 15 = 0. What is the remainder when 59 is divided by -2 - 88/(-4 + p)?
19
Let s be (-2)/((-2)/1)*-3. Let r be (s/(-6))/(2/4). Let d(f) = 6*f**3 + f**2 - 1. What is the remainder when d(r) is divided by 4?
2
Suppose -24*f = -30*f + 30. Let n be ((-16)/10)/((-6)/75). Calculate the remainder when 2/(-5) - (-188)/n is divided by f.
4
Let c = -14 - -20. Suppose 3*g - 24 = -2*s - g, 5*s = 3*g + 21. Calculate the remainder when c is divided by 2 + 1 - (s/(-2) - -3).
0
Let r = -99 - -190. Suppose 2*q = -r - 15. Calculate the remainder when 53 is divided by (-33)/(-44) + q/(-4).
11
Let c be 3/6*(-1 + -101). Let g = c + 132. Calculate the remainder when g is divided by 28.
25
Suppose 6 = 6*u - 162. Calculate the remainder when 55 is divided by u.
27
Suppose -17*w = -14*w - 48. Let t = -3 + w. What is the remainder when 21 is divided by t?
8
Suppose 40 = -2*l - 32. Suppose -2*s - 2*s + 60 = 0. What is the remainder when s is divided by 4/(-4 - l/8)?
7
Let q be 3/9 + 1434/18. Let s be 4/14 - (-312)/(-14). Let w = q + s. What is the remainder when w is divided by 20?
18
Suppose 0 = -2*t - 5*y + 10 + 125, 3*t + 2*y - 208 = 0. Calculate the remainder when t is divided by 9.
7
Let n(m) = m**3 - 3*m**2 + 2*m - 6. Let l be n(3). Let z(t) = 3*t**2 + 3 - 4*t**2 + l + 5*t. Calculate the remainder when 11 is divided by z(5).
2
Suppose 0 = 5*l - 3*c - 5, 2*l + c - 17 = -l. Let k be (-1)/(-2)*(15 - 9). What is the remainder when (-70)/(-12) + k/18 is divided by l?
2
Suppose -