.
3
Suppose -3*b + 29 = -4*l, 5*b + 2*l + 2 - 7 = 0. Suppose u + u + 72 = 4*o, -b*o - 2*u + 47 = 0. Let w = -6 + 87. What is the remainder when w is divided by o?
13
Suppose 5*v - 121*b - 8825 = -116*b, 3*v = -2*b + 5280. Calculate the remainder when v is divided by 21.
19
Suppose -5*k + 25*h = 53*h - 878, -4*k = 5*h - 598. Calculate the remainder when 850 is divided by k.
140
Let g(b) be the third derivative of 0 - 1/8*b**4 - 4/3*b**3 + 13*b**2 + 0*b. What is the remainder when g(-14) is divided by 9?
7
Let t = 9125 - 8759. Calculate the remainder when t is divided by 118.
12
Let w be ((-48)/(-15))/(1/120). Suppose s = -3*p + 293, 4*p - s - w = -4*s. Suppose -7*z + 4*z + p = 0. What is the remainder when 65 is divided by z?
32
Suppose 2177 + 520 = 31*a. What is the remainder when 26 is divided by (-3)/2 - (0 + a/(-6))?
0
Let h = 24 - -5. Let j(l) = -76*l - 57. Let r = -842 + 839. What is the remainder when j(r) is divided by h?
26
What is the remainder when (4/(-16) + 29/(-4))/((-1221)/86284) is divided by 15?
5
Let r(p) = -128*p - 2. Let b(n) = -169*n - 2469. Calculate the remainder when r(-2) is divided by b(-15).
56
Let f(c) = 3*c**2 - 7*c + 27. Let k be f(9). Suppose 8*t = 5*t + k. What is the remainder when t is divided by 4?
1
Let a(y) = y**3 - 2*y**3 + 25*y**2 - 21*y**2 + 12*y + 12. Calculate the remainder when (-16)/(-28) + (-633)/(-7) is divided by a(5).
44
Let k = -91 + 107. What is the remainder when 64 is divided by 135/(-18)*k/(-20)?
4
Let f(t) = t**2 + t + 4. Let z be f(0). Suppose -2*d + z*d + 8 = -4*w, 0 = 2*w + 8. Calculate the remainder when (80/3)/4 - (-32)/(-912)*19 is divided by d.
2
Suppose 0*x = 3*x - 5*q - 45, -5*q + 30 = 2*x. Suppose 5*w - 9*w = 11*w - 405. What is the remainder when w is divided by (-1 - 3)/(-4)*x?
12
Suppose 4*d = 0, 4*d - 5 = -5*t + 2*d. Let b be (-10 - -23)/(t/(-2)). Let f = b + 52. Calculate the remainder when 50 is divided by f.
24
Suppose -3*q + 404 = 5*z, q = -4*z + 552 - 219. Calculate the remainder when 310 is divided by z.
55
Let v be 0/((3 - 4) + 2). Suppose v = -5*g - 2*g + 119. What is the remainder when g is divided by 3/2*(-26)/(-3)?
4
Let t = 323 + -320. Let q(u) = 2*u**2 - 4*u. Let k be q(-6). Suppose 0 = -j - 2*f + 55, t*j = j + 3*f + k. Calculate the remainder when j is divided by 27.
24
Let o(l) = -53 + 4*l + l**2 - 17*l + 27. Let w be o(15). Suppose -v + 0 = w*t + 1, -3*v = 4*t - 21. Calculate the remainder when v is divided by 9.
2
What is the remainder when 598 is divided by (-13 + 10 - 20/(-6))*(469 - -2)?
127
Let f(t) = -t**2 + 18*t - 71. Let d be f(6). Suppose -3*x + d = 16, 5*x + 1875 = 5*j. Calculate the remainder when j is divided by 31.
29
What is the remainder when 204 is divided by (31 - 29)*11/2?
6
Suppose 0 = 67*k - 78*k + 3663. What is the remainder when k is divided by 8?
5
Suppose -38*i = -39*i + 7, -146 = -5*x - 3*i. What is the remainder when ((-84)/16)/((-3)/28) is divided by x?
24
Let u = -25 - -37. Suppose 5*h = 16 + 44. What is the remainder when u/8 - 444/(-24) is divided by h?
8
Suppose 210*k = 6*k + 139740. What is the remainder when k is divided by 142?
117
Suppose 96*o - 100*o = -4*m + 596, -5*m + 888 = 8*o. Suppose -65 = -5*r + 2*z - 4*z, -4*r - 3*z = -59. What is the remainder when m is divided by r?
6
Let m = -8886 - -8974. Calculate the remainder when m is divided by 78.
10
Suppose -3*r - 359 - 451 = 0. Let c be (-12088)/(-30) + 2/30. Let j = c + r. Calculate the remainder when j is divided by 27.
25
Let p(q) = -12*q**3 + 72*q**2 + 462*q + 7. Calculate the remainder when p(-6) is divided by 80.
19
Suppose 0*s + 5*s - 60 = 0. Let i(g) be the first derivative of 3*g**4/4 + g**3/3 + 3*g**2/2 - 18*g + 308. Calculate the remainder when i(3) is divided by s.
9
Let a(s) = -48*s**2 + 2738*s - 16. What is the remainder when a(57) is divided by 42?
14
Let a(w) = -55*w + 6. Let k be a(-10). Calculate the remainder when (-1)/(8/(-16)) + k is divided by 43.
42
Let v(c) = 7*c**3 + c**2 + 2*c - 12. Let b be v(-3). Let u = b + 224. Calculate the remainder when 178 is divided by u.
22
Let w(o) = o**3 - 28*o**2 + 28*o + 34. Suppose 2*q = -2*q + 2*s + 98, 0 = 2*s - 10. Calculate the remainder when 237 is divided by w(q).
54
Let w = -13805 + 13817. Suppose 0 = -5*r - 5*a - 91 + 751, -a = -2. What is the remainder when r is divided by w?
10
Suppose b - 178 = 3*d, 0*b - 4*d - 181 = -b. Suppose -6*k - 30*k = -1548. What is the remainder when b is divided by k?
40
Let p(z) = -2*z**2 + 25*z + 78. Let g(j) = 5*j**2 - 74*j - 235. Let f(k) = 3*g(k) + 8*p(k). Calculate the remainder when 39 is divided by f(-15).
15
Suppose 36*q + 2691 = -35*q + 7093. Calculate the remainder when 17233 is divided by q.
59
Let u be ((-114)/4)/((-2)/(-4)). Calculate the remainder when 14 is divided by u/(-171) - (-3)/(9/5).
0
Suppose -3*g + 600 = -3*u, 2*u = 3*g - 0*g - 405. Let i = 236 + u. What is the remainder when 131 is divided by i?
8
Let n = -77 + 167. Calculate the remainder when n is divided by (-4)/(-58) - (337744/551)/(-44).
6
Let m(y) = 5 + 2 - 3*y + y + y. Let n be m(8). What is the remainder when (n - 1) + (11 - -6) is divided by 9?
6
Let r = 186080 + -185803. Suppose -5*g = 5*t - 7 - 33, -23 = -3*g - 4*t. What is the remainder when r is divided by g?
7
Let t be (-4)/14 - (-1408)/28. Suppose 9*s = -7 - 43 + 374. Let q = s + t. What is the remainder when q is divided by 18?
14
What is the remainder when (5 - 6) + 1446 + (3 - 2) + -7 is divided by 144?
143
Suppose h + 4 = 2*h. Let n = 12952 + -12919. Calculate the remainder when n is divided by h.
1
Suppose 5*w + 4*j - 3 = 0, -5*w - 3*j = 2 - 8. Suppose -w*y = -7*y - 4, -5*h - 4*y + 66 = 0. Calculate the remainder when h is divided by 10.
4
Suppose -z - 12*z = 910. Calculate the remainder when (-7)/(z/4) - 272/(-20) is divided by 150/54 - 2/(-9).
2
Let q(w) = -7*w**2 + 279*w - 457. What is the remainder when q(24) is divided by 550?
7
Suppose -3*p - 677 = 637. Let w = -377 - p. What is the remainder when w is divided by 16?
13
Suppose -31 + 111 = 10*s. Suppose -s*b + 136 = -0*b. Let i(d) = d**3 - 17*d**2 + 26. What is the remainder when 76 is divided by i(b)?
24
Let u = 501 + 2025. What is the remainder when u is divided by 133?
132
Let f(o) = 72*o**3 + o**2 - 4*o - 4. Let l be f(-1). Let t = l - -150. What is the remainder when t is divided by 27?
25
Let o be 12/(-8)*-14*(1 + 9). Let c = o + -102. Let d = -81 + c. Calculate the remainder when 134 is divided by d.
26
Let o(l) = -2*l + 6 - 4 - 10 - 5. Suppose -2*b + 5*b = 48. What is the remainder when o(-22) is divided by b?
15
Suppose 4*z = 3*f - 17 - 17, -f + 8 = 2*z. Suppose 0 = t - 11 - 46. What is the remainder when t is divided by f?
7
Let m(j) = -j**2 + 15*j - 22. Let o = -43 - -47. Calculate the remainder when m(13) is divided by o.
0
Suppose 2*k = 19*y - 21*y + 338, -4*k + 648 = -3*y. Calculate the remainder when k is divided by 86.
79
Suppose 3*d + 18 = 4*p, d + 10 - 4 = 2*p. What is the remainder when (-110)/d - (6 - 51/9) is divided by 4?
2
Suppose 3*r - 1 = 4*g, -1 = -r - 2*g + 6. Suppose -r*c - 106 + 355 = 0. What is the remainder when 663 is divided by c?
82
Let b(j) = -232*j - 10404. Let a(s) = -26*s. Calculate the remainder when a(-4) is divided by b(-45).
32
Let s(i) = -4*i**3 - 398*i**2 - 200*i - 164. Calculate the remainder when 4587 is divided by s(-99).
31
Let t(q) = -66*q + 29. Suppose 0 = -2089*b + 2087*b - 4. What is the remainder when t(b) is divided by 41?
38
Let z = -2054 - -2101. Calculate the remainder when 981 is divided by z.
41
Suppose 3*s - 4*l = -73 + 1479, -3*l = 15. Calculate the remainder when s is divided by 78.
72
Let y(v) = 8*v + 499. Let z = -403 + 655. What is the remainder when z is divided by y(-61)?
10
Let z = 250 + -156. Suppose -498*n + 496*n = -z. Calculate the remainder when n is divided by 26.
21
Suppose -379*x = -313*x - 28710. Calculate the remainder when x is divided by 200.
35
Let z(l) = -13*l - 108. Let o be z(-7). Let s = o + 37. Calculate the remainder when 42 is divided by s.
2
Suppose 4*v - 35 = 28*g - 27*g, 25 = 2*v - 3*g. What is the remainder when 3101 is divided by v?
5
Suppose 109*p - 6*p - 5645 = 4758. What is the remainder when 503 is divided by p?
99
Suppose -4*o - 4*r = -12, -3*o + 2 = -3*r + 11. Suppose o = 2*m 