18
Suppose w - 23 + 9 = 0. Let s = -537 - -676. What is the remainder when s is divided by w?
13
Let x(b) = -9*b**3 - 4*b**2 - 5*b - 2. Let q be x(-2). Suppose 240 = 2*i + q. Suppose 2*z - i = -6*z. Calculate the remainder when 39 is divided by z.
6
Let m = 4887 - 4829. What is the remainder when 1506 is divided by m?
56
Suppose -x + 237 = 4*t, t + 3*x - 63 = -x. Calculate the remainder when t is divided by -6 - -5 - (-4 - 1).
3
Suppose -6333 - 23691 = -12*y. Calculate the remainder when y is divided by 66.
60
Let h(l) = 4*l**2 + 168*l + 1768. Let b(x) = -78*x - 4. What is the remainder when b(-3) is divided by h(-20)?
6
Let t(w) = 2*w - 14. Let x be t(9). Suppose -h = -1, h + 9 = -m + x*h. Calculate the remainder when 53 is divided by 1 + 4*(-15)/m.
9
Let l = -187 + 186. What is the remainder when 66 is divided by (l + 3/6)/((-1)/20)?
6
What is the remainder when 5991 is divided by 1*(-21)/18 - (-42965)/390?
105
Suppose 2*b - 4*k = -3*b + 353, 3*b = 3*k + 210. What is the remainder when 794 is divided by b?
64
Let f = -5652 - -5658. Calculate the remainder when 1431 is divided by f.
3
Suppose z + 3*n - 46 = 0, 17*z = 14*z - n + 170. Calculate the remainder when 404 is divided by z.
56
Suppose -778 = -3*w + 4*n, 4*n = 7*w - 3*w - 1044. What is the remainder when w is divided by 86?
8
Suppose -27*r + 357 = -6*r. Suppose -r*u - 1782 = -39*u. Calculate the remainder when u is divided by 14.
11
Let s = 14559 + -14535. What is the remainder when 7415 is divided by s?
23
Suppose 0 = t - 2*f + 5*f + 3, 3 = 3*f. Let a be ((-93)/6)/1*1*t. Suppose 46*q - a = 43*q. Calculate the remainder when 57 is divided by q.
26
Let m(l) = -7*l + 3. Let u be m(-13). What is the remainder when 422 is divided by u/(4 - ((3 - 3) + 2))?
46
Let n = -750 - -1576. Suppose -18*o + 488 = -n. Calculate the remainder when 144 is divided by o.
71
Let x = -448 + 448. Suppose x = -2*y + 16*y - 812. What is the remainder when y is divided by 8?
2
Let t = -122 - -108. Let f = 147 + t. Let c = f + -87. What is the remainder when c is divided by 21?
4
Let z = -26 + 73. Let r(l) = 1 + 19*l - 3 - l**2 + z. What is the remainder when 23 is divided by r(21)?
2
What is the remainder when 205 is divided by 727/14 + (-19)/(-266)?
49
Suppose -3*h = -98 - 130. Calculate the remainder when ((43206/24)/(-19))/(2/(-8)) is divided by h.
75
Let s = -2683 - -2947. Calculate the remainder when s is divided by 97.
70
Let f = -63 - -61. Let k be 4*(3 + 14*f/8). Calculate the remainder when (-418)/(-2) + k/6*-12 is divided by 18.
15
Let k = 9 + -2. Let z(l) be the third derivative of -l**5/20 + 3*l**4/4 - 13*l**3/6 - 19*l**2. What is the remainder when z(4) is divided by k?
4
Let g = -30110 + 30185. What is the remainder when 594 is divided by g?
69
Suppose 873 = 2*y + 3*p, -4*y - 3*p + 1137 = -600. What is the remainder when 382 is divided by ((-20)/6 + 4)/(3/y)?
94
Let z(g) = g**3 + g**2 - g + 1. Let d be z(-1). Suppose 4*q - 13 + 379 = 5*x, 0 = -5*x - d*q + 372. Calculate the remainder when x is divided by 11.
8
Let i(f) = 5*f + 14. Suppose v + 0 = 5. Suppose 15 = 3*y - 9. What is the remainder when i(v) is divided by y?
7
Suppose 272*k - 26 = 270*k. Suppose -9*p + 4*p + 205 = 0. Calculate the remainder when p is divided by k.
2
Let j be 1 + -1 - (-13 + -171). Let w be j*-2*(-5)/10. Suppose 3*p = 11*p - w. What is the remainder when 84 is divided by p?
15
Suppose 0*h + 4*h - 40 = 0. Calculate the remainder when (-81 + 3)*(-1 + -1 + 1) is divided by -1 - 2 - (-190)/h.
14
Let t(o) = 113*o - 389. What is the remainder when t(6) is divided by 152?
137
Suppose -5*t + 34 = 4. Let g(k) be the third derivative of k**5/30 + k**4/4 + k**3 - 14*k**2. What is the remainder when g(-4) is divided by t?
2
Calculate the remainder when 505 is divided by (-4 - -9)/(((-20)/12)/(-1)).
1
Suppose 171*g = 102*g + 22977. What is the remainder when g is divided by 96?
45
Let k = 32 + -30. Suppose k*d + 4*t = 58, 12 = 2*d - 5*t - 10. Suppose 4*l - 312 = l. Calculate the remainder when l is divided by d.
20
Suppose -7*d + 733 = -3*d + 665. What is the remainder when 305 is divided by d?
16
Suppose 12*p - 81 = 13*p. Let b be (26/6)/(1/27). Let y = b + p. Calculate the remainder when 105 is divided by y.
33
Let o = 254 - -866. Suppose -66*w = -59*w - o. Calculate the remainder when w is divided by 41.
37
Let d(t) = -5*t**3 - 11*t**2 - 349*t - 2466. What is the remainder when d(-7) is divided by 33?
31
Let a = -3567 + 3720. What is the remainder when 325 is divided by a?
19
Let f(g) = 5*g**3 - 214*g**2 - 39*g + 28. Calculate the remainder when f(43) is divided by 44.
24
Let h = -143 + 220. Let i = 940 - 930. What is the remainder when h is divided by i?
7
Let q(x) = 26*x**2 + 16*x - 65. Let u be q(5). Suppose h + f - 117 = 4*f, -5*h = 5*f - u. Let b = 53 + -41. Calculate the remainder when h is divided by b.
9
Let w = -2 - -29. Calculate the remainder when 1/(-4) + 143140/1360 is divided by w.
24
Suppose -155064 - 109464 = -19*r + r. What is the remainder when r is divided by 84?
80
Let k = 17 - 8. Let t(s) = -s**2 + 9*s + 2*s**2 - 12*s - s - 16. Calculate the remainder when t(8) is divided by k.
7
Let f = 669 - 417. Suppose 0 = -p + 2*b + 2*b - 5, 5*b = -p + 31. Suppose 8*d + f = p*d. What is the remainder when d is divided by 43?
41
Let o = 12 + -7. Suppose -39 = o*a - 14. What is the remainder when 106/(-3)*(2 + a) is divided by 28?
22
Let v(d) = -d**3 + 8*d**2 - 10*d - 12. Let j be v(6). Let n(h) = -2*h + 79. Let a(x) = -x**2 - 10*x - 5. Calculate the remainder when n(j) is divided by a(-7).
15
Suppose 4*u = 5*p - 92, 2*p + 2 = -6. Let q be 53 - -1 - (-4 - -7). Let g = q + u. What is the remainder when g is divided by 8?
7
Let z(q) = 2*q**2 - 306*q + 2072. Calculate the remainder when 180 is divided by z(7).
12
Let r(k) = 2*k - 3*k - 10*k - 1 - 7. Suppose -4*v + 3*z = -114, -4*v - z + 65 + 41 = 0. What is the remainder when v is divided by r(-2)?
13
Suppose 5*j = -6459 - 9846. Calculate the remainder when (-4)/14 - (6 - j/(-21)) is divided by 75.
74
Suppose -12*h = 30*h + 25*h - 1608. Let p(o) = o**2 + 8*o + 7. Let u be p(-7). Let q = u + h. Calculate the remainder when q is divided by 9.
6
Let s = 25607 - 25596. Suppose 19 = -3*j + 1. Let y = 12 + j. What is the remainder when s is divided by y?
5
Suppose 12*u + 820 = 17*u. Let j = -187 + 221. Calculate the remainder when u is divided by j.
28
Calculate the remainder when (397 - ((-6)/3)/6) + (-492)/369 is divided by 201.
195
Suppose 19*g + 10 = 333. What is the remainder when 234 is divided by g?
13
Suppose 16*y + 20 = -268. Calculate the remainder when 24 is divided by (-16)/72 - 94/y.
4
Suppose -350 = -2*y + 2*n, 258 = y + n + 97. What is the remainder when 898 is divided by y?
58
Suppose 7*f - 155 = -2*a - 47, 4*a - 5*f - 140 = 0. Calculate the remainder when 114 is divided by a.
34
Suppose 0 = -4*m - 4*s + 292, 4*m + 36*s - 274 = 35*s. What is the remainder when 731 is divided by m?
61
Let c = -68 - -66. Let u be 948/6 + -2*c/4. Let p = -6 + u. What is the remainder when p is divided by 22?
21
Suppose 4*w + w - 210 = 0. Suppose -2*l + 2*f = w, 3*l + 3*f = f - 38. What is the remainder when 1 is divided by 24/(-40) - l/10?
0
Suppose -20 = -2*u + 7*u, -3*k - 3*u + 150 = 0. What is the remainder when k is divided by (26/(-4) + 3)/((-4)/24)?
12
Suppose 0 = -241*x + 364035 - 57483. What is the remainder when x is divided by 20?
12
Suppose -5*y + 7*x + 145 = x, y + 4*x - 3 = 0. Suppose y*n - 101 - 1210 = 0. What is the remainder when n is divided by 30?
27
Suppose -132 = -4*p - 44. Suppose 0 = p*k - 663 + 3. Calculate the remainder when 114 is divided by k.
24
Let m(c) = c**3 + 62*c**2 - 406*c + 148. What is the remainder when 571 is divided by m(-68)?
7
Let u(p) = 4*p + 35. Suppose 0*c + 2*c - 4*h - 18 = 0, c - h = 5. Let r = c - -18. Calculate the remainder when u(0) is divided by r.
16
Suppose 6*c = 79*c + 30*c - 8549. What is the remainder when c is divided by 22?
17
Let n = 546 - 802. What is the remainder when 4/(-2) + (15 - n) is divided by 18?
17
Suppose -15538 = 17*s - 51*s. Calculate the remainder when 464 is divided by s.
7
Let p(o) = 2*o**2 - 14*o. Calculate the remainder when 644 is divided by p(-1).
4
Let o(l) = -21*l + 4. Suppose -3715 + 851 = -179*s. What