the remainder when 1004 is divided by w(-8).
8
Let u(l) = -l**3 + 6*l**2 - 6*l - 6. Let r be u(4). Suppose -r*q + 27 = -q - 3*t, 3*t + 90 = 4*q. What is the remainder when q is divided by 6?
3
Let m(u) = -6*u + 3*u**2 - 3 - 11*u + 5 + 13*u. What is the remainder when 17 is divided by m(2)?
5
Let v = 3 + 25. Calculate the remainder when 669 is divided by v.
25
Let s(f) be the second derivative of -5*f**3/6 - 4*f**2 - 3*f. Let j be s(9). Let u = j + 88. Calculate the remainder when u is divided by 9.
8
Suppose -9*q + q = -112. What is the remainder when 29 is divided by 144/q + (-10)/35?
9
Let r be (-81)/18*4/3. Let t = r - -37. Let j = t - 20. Calculate the remainder when j is divided by 3.
2
Suppose -5*r + 441 = -4*o, -3*r + 3*o + 442 = 2*r. Let s = 39 - r. What is the remainder when (s/4)/5*-42 is divided by 18?
15
Let b(h) = 43*h**3 - 5*h**2 - h. What is the remainder when 120 is divided by b(1)?
9
Let n = 43 - -96. What is the remainder when n is divided by 30?
19
Suppose -2*g + 3 = 2*i - 3*i, 0 = -4*i - 4*g. Let p be (i/2)/(1/12). Let j = 9 + p. Calculate the remainder when 9 is divided by j.
0
Let f = -21 - 30. Suppose -3*a + 5*a = 5*o + 116, -o - 28 = 2*a. Let r = o - f. What is the remainder when r is divided by 14?
13
Suppose -8 = -4*n + 12. Suppose -114 = -n*l + 151. Calculate the remainder when l is divided by 14.
11
Suppose -5*d + 4*t + t = -320, 2*d - 130 = 4*t. Suppose -4*h - 107 - d = -2*y, 291 = 3*y + 3*h. What is the remainder when y is divided by 24?
21
Suppose 0*d + 30 = d + 5*o, -o + 34 = 3*d. Let n be 224/(-72) + 3 + 394/(-18). Let u = d - n. What is the remainder when 127 is divided by u?
31
Suppose -9*y + 45*y - 11664 = 0. What is the remainder when y is divided by 37?
28
Suppose -5*l = t - 3, l + 3 = -2*t - 0. Let d(n) = 6 + 4 + 9 - 14 + 4*n - 7*n**3. Calculate the remainder when d(t) is divided by 14.
11
Suppose 1 = 3*t + 4. Let b = 112 + -5. What is the remainder when b is divided by (-109)/(-4) - t/(-4)?
26
What is the remainder when 429 is divided by 72*(55/10)/11?
33
Suppose 5*d + j - 111 = 0, 10*j = 4*d + 12*j - 84. What is the remainder when 85 is divided by d?
16
Let q(l) = -6*l + 1. Calculate the remainder when q(-6) is divided by (1*(5 - 7))/(1/(-10)).
17
Suppose -318 = -68*q + 65*q. Let k = q + 52. What is the remainder when k is divided by 32?
30
Let c be -11 + 38 - (0 - 2). Let x be 0 - (c + (-8)/(-2)). What is the remainder when (-1)/(3 - (-100)/x) is divided by 18?
15
Suppose -3*k + 6*k - 30 = 0. Let u(m) = 4 + 3*m + m**2 - m + 0*m**2 + 0*m. What is the remainder when u(3) is divided by k?
9
Suppose -3*z - 54 = -5*l + 51, 3*l + z - 49 = 0. Let r be 4890/24 + (-2)/(-8). Let x = r + -134. What is the remainder when x is divided by l?
16
Let a = -63 + 61. Calculate the remainder when 37 is divided by (-1)/2*3 - 47/a.
15
Let m = -1631 - -1633. Calculate the remainder when 74 is divided by m.
0
Let x(q) = q**2 + 25*q - 69. What is the remainder when x(-29) is divided by 26?
21
Suppose 280 = -227*s + 235*s. Calculate the remainder when 312 is divided by s.
32
Let v = -37 - -40. Calculate the remainder when 22 is divided by 12/(3*v/12).
6
Let m = -10 - -18. Let w = 34 + -16. Suppose 0*y + y + 5*b + 5 = 0, 2*y + 3*b = w. Calculate the remainder when y is divided by m.
7
Let l be ((-2)/1 + 0)/1. Suppose 4*o + 2 = y - 22, 2*y - 3*o - 43 = 0. What is the remainder when y is divided by 1/((4 + l)/22)?
9
Suppose -3*h + 54 - 6 = 0. Suppose 60 = -0*i + 5*i. Let q = 59 - i. Calculate the remainder when q is divided by h.
15
Let y = -4 - -8. Suppose x = 4*p - y*x - 84, 5*p - 4*x - 105 = 0. Suppose 4*t = 5*h + 44, 2*t - 4*h + 2*h = 20. What is the remainder when p is divided by t?
3
Let c(p) = -27*p + 15. Let g be c(-7). Suppose 4*w = -2*w + g. What is the remainder when 129 is divided by w?
27
Suppose 1 = 2*t - 9. Suppose t*k = 2*a + 215, -2*k - 3*a + a = -86. Let m = -31 + k. Calculate the remainder when 31 is divided by m.
7
Suppose 0 = -5*s + 5*g + 115, 6*g = -s + 9*g + 31. Calculate the remainder when 417 is divided by s.
18
Let z = -23 + 25. Suppose 1 = -4*o + 9. Suppose 0 = -o*i + 4*i - 2. What is the remainder when z is divided by i?
0
Let f(w) = -10*w - 47. Calculate the remainder when 43 is divided by f(-6).
4
Suppose 4*j - 5 = 3, 2*h = 5*j + 14. Suppose 30*t - 20*t - 210 = 0. What is the remainder when t is divided by h?
9
Suppose 102*g - 97*g = -170. Let l = g + 54. What is the remainder when l is divided by (-3 - -2)*(-1 - 5)?
2
Suppose 12*r + 310 = 1438. What is the remainder when 213 is divided by r?
25
Suppose 2*i = 3*y + 10, -7*y + 2 = 2*i - 6*y. Calculate the remainder when 45 is divided by i.
1
Suppose -2*p - 15 = -5*o + 115, 3*o + 2*p - 62 = 0. Suppose -5*z = 4*i - 355, -3*z + 5*i - 2*i = -186. Calculate the remainder when z is divided by o.
19
Let v(u) = -u**3 - 5*u**2 - 5*u + 2. Suppose 4*g = 3*m - m - 2, 5*g = -2*m - 25. Calculate the remainder when v(m) is divided by 5.
2
Let p(o) = -2*o - 1. Let n be p(-8). Let r = n - 12. Suppose -r*w = -2*j + 5, -4*j + 4*w = 2*w - 22. What is the remainder when 11 is divided by j?
4
Let j = -19 + 33. Suppose -2*g = -0*g - j. Calculate the remainder when g is divided by 2.
1
Let h(l) be the second derivative of l**5/20 + 5*l**4/6 + l**3/3 - 7*l**2 - 9*l. What is the remainder when h(-7) is divided by 20?
19
Let l be 310/8 - 9/12. Let t = l + -22. Calculate the remainder when ((-186)/(-2))/3 - 1 is divided by t.
14
Let r(g) = 42*g - 6. Let k = 51 + -36. Calculate the remainder when r(2) is divided by (-1215)/k*(-2)/6.
24
Suppose -545*c = -533*c - 6984. Calculate the remainder when c is divided by 73.
71
Let n(c) = -45*c**2 - 13 + 34*c**2 + c**3 - 2*c**3 + 18*c**2 - 3*c. Let y = -6 + 10. What is the remainder when n(6) is divided by y?
1
Let l = -71 + 60. Let k = -2 - l. Calculate the remainder when 15 is divided by k.
6
Let l be 185/20 + (-1)/4. Suppose -l = -y - 4. Calculate the remainder when (-12)/(-9)*9 + (2 - 0) is divided by y.
4
Suppose -q + 297 = c, -4*c + 4*q + 1212 = -0*c. What is the remainder when c is divided by 76?
72
Let q = 25 + -11. Let s = -16930 + 16932. What is the remainder when q is divided by s?
0
Suppose -108 = -2*b + 80. Let p = -47 + b. Calculate the remainder when p is divided by 13.
8
Let b(f) = -f**2 + 4*f + 81. What is the remainder when b(0) is divided by 18?
9
Let m(o) = -o**2 + 41. Let k be m(6). Suppose 0 = 3*w - 15, -w = k*x - 150 - 30. What is the remainder when x is divided by 12?
11
Let x be 2*3/10 - (-32)/80. Suppose 0 = 4*g + z - 16, -5*g + 28 = -z - x. What is the remainder when 23 is divided by g?
3
Suppose 2*c - 143 - 69 = 0. Calculate the remainder when c is divided by 27.
25
Suppose 0 = b - 7 - 15. Let q = b + -5. Calculate the remainder when 83 is divided by q.
15
Let z = 626 - 537. Calculate the remainder when 247 is divided by z.
69
Let m = 17 + -13. Suppose -m*a - 61 + 265 = 0. Calculate the remainder when a is divided by 26.
25
Let a(w) = -10*w - 19 - w**3 - 14*w**2 + 3*w + 13*w**2. What is the remainder when a(-4) is divided by 5?
2
Let q(d) = -5*d - 119. What is the remainder when 78 is divided by q(-27)?
14
Calculate the remainder when 1/6*2 - 7100/(-30) is divided by 48.
45
Let b = -3 + 10. Let r = -756 + 783. Calculate the remainder when r is divided by b.
6
Let w(y) = -2*y**2 + 57 - 2*y + 23*y**3 + 0*y - 22*y**3. What is the remainder when w(0) is divided by 20?
17
Let j = -8 - -62. Calculate the remainder when 78 is divided by j.
24
Suppose 40*n - 37*n + 90 = 0. What is the remainder when 51 is divided by 156/n*5/(-2)?
12
Let h = 0 + 0. Suppose h = -k + 2*k - 38. Suppose 3*v - 3*r = r + k, 4*r = -2*v + 32. What is the remainder when 24 is divided by v?
10
Suppose 0 = 2*t + 3*l - 16, 0 = -5*t + 3*l - l + 2. Let a(n) = -2*n + t*n + n + 4. Calculate the remainder when a(7) is divided by 7.
4
Suppose 7 = -3*v - 2*n + 73, -5*v - n = -110. Calculate the remainder when 327 is divided by v.
19
Suppose -1213 = -8*o + 5467. What is the remainder when o is divided by 38?
37
Let p = -14 - -10. What is the remainder when 51 is divided by (-18)/((-6)/p*34/(-51))?
15
Let x = -33 - -70. Calculate the remainder when 147 is divided by x.
36
Suppose -539 + 154 = -7*r. Calculate the remainder when 102 is divided by r.
47
Sup