Let y be 122/(-6)*(-2 - 1). Suppose x - 80 = -y. Calculate the remainder when 51 is divided by x.
13
Let i(n) = -n**3 - 99*n**2 + 849*n - 53. Calculate the remainder when i(-107) is divided by 9.
3
Let m(p) = -4*p + 911. What is the remainder when m(40) is divided by 375?
1
Suppose -6*x = -2*x + 4*j + 64, 0 = x - 3*j + 36. Suppose 60 = 7*b - b. What is the remainder when 1 + (-1 + 6 - x) is divided by b?
7
Let o(d) be the second derivative of d**5/20 + 35*d**4/12 + 31*d**3/3 - 33*d**2 + 4*d - 8. What is the remainder when o(-33) is divided by 14?
10
Let b = -18670 - -18976. What is the remainder when b is divided by 295?
11
Suppose -19*o + 6*o = -728. Let u = 79 - o. Calculate the remainder when 158 is divided by u.
20
Let l(m) = 21*m**2 + 849*m + 28. Calculate the remainder when 1600 is divided by l(-41).
40
Let n = 10009 + -6459. Calculate the remainder when n is divided by 32.
30
Let y(b) = 2*b**3 - 25*b**2 - 10*b - 24. Let z be y(13). Suppose -5*i + z*i = 70. What is the remainder when i is divided by 5?
2
Let v = 2776 - 2765. Calculate the remainder when 29 is divided by v.
7
Suppose 85*n = 98*n + 1599. What is the remainder when (n/(-4))/(30/40) is divided by 30?
11
Suppose -77 = -3*i + 2*u, 3*i - 4*u - 27 = 40. Let z(n) = 436*n. Let v be z(1). Suppose 3*s - 868 = -v. What is the remainder when s is divided by i?
28
Suppose 6*r + 188 = 284. What is the remainder when 93 is divided by r?
13
Suppose -505 = -2*h - 1957. Let s be (-4*h/(-30))/((-2)/5). Let m = -136 + s. What is the remainder when m is divided by 27?
25
Let b be (2/(-9))/(15/(-675)). Suppose 2*f + 3*y = 4*y + 35, b = -2*y. What is the remainder when f is divided by 4?
3
Calculate the remainder when (3775/1057)/(1/7) is divided by 5.
0
Suppose -28 = -2*k + 4*n, 3*n - 16 = -3*k + 8. Let i be 12/(-5) - (-2)/5. What is the remainder when k + i + -3 + -1 is divided by 1?
0
Suppose 5*f - 7*i - 744 = -13*i, 2*i - 8 = 0. What is the remainder when 208 is divided by f?
64
Suppose -o + 447 = 7*u, -2*u + 22*o = 17*o - 133. What is the remainder when 129 is divided by u?
1
Let r(o) = o**2 + 2*o - 4. Calculate the remainder when (-2768)/(-64) - 5 - (0 + 2/8) is divided by r(-5).
5
Suppose v = 3*v - 6. Suppose 2*b = -i - 0*i + 15, 5 = -2*i + v*b. Calculate the remainder when i is divided by 18/(-81) - 38/(-9).
1
Let f = 302 - 155. Calculate the remainder when (1 - -1)/2*(f + 1) is divided by 15.
13
Let m = -79 + 546. Suppose 0 = -525*v + 13405 - 12415 + 23685. Calculate the remainder when m is divided by v.
44
Suppose 0 = -25*r + 2624 + 2926. Calculate the remainder when r is divided by 54.
6
Let f(z) = -11*z + 368. Let o be f(33). Suppose 15 = 4*b + b. Suppose 0 = l - 3*p - 127, 135 = -b*l + 4*l + o*p. What is the remainder when l is divided by 22?
20
Let u = 2381 - -869. Suppose -30*l = -4*l - u. Calculate the remainder when l is divided by 14.
13
Suppose 5*p + 4*q - 11 = 0, -3 - 9 = -5*p - 3*q. What is the remainder when 985 is divided by (p + 0)/((-51)/(-646))?
35
Suppose 0 = -5*o - 2*p + 1385, -315*o + 314*o - p + 274 = 0. Calculate the remainder when o is divided by 119.
41
Let d = -41870 - -42041. What is the remainder when 966 is divided by d?
111
Let q(r) be the first derivative of -5*r**2 - 25 - 1/3*r**3 - 18*r. What is the remainder when 7 is divided by q(-3)?
1
Calculate the remainder when (-1833)/((-7 - 15/(-2))*-2) is divided by 36.
33
Let v = 98 - 87. Suppose 60 = v*u - 226. What is the remainder when u is divided by (-153)/(-15) + (-2)/10?
6
Suppose 2*l - 8 = -0. Suppose l*p = -0*p + 252. Suppose -30*h + 132 = -18*h. What is the remainder when p is divided by h?
8
Let t = -4950 - -5159. Calculate the remainder when 613 is divided by t.
195
Let s = 325 + -321. Suppose -s*f = -i + 52, -184 = -3*i + f + 4*f. What is the remainder when i is divided by 25?
18
Calculate the remainder when (-3 + 280 + 22 + -16)*(-8)/(-4) is divided by 93.
8
Calculate the remainder when 278*((-1863)/(-18) - -22) is divided by 11.
8
Let s(h) = -213*h - 2325. What is the remainder when 120 is divided by s(-11)?
12
Suppose 2*x - u - 96 = 0, 55*u - 260 = -5*x + 60*u. What is the remainder when 598 is divided by x?
26
Let n = 13 - -12. What is the remainder when (-55)/(-7 + (13 - 7) - 0) is divided by n?
5
Let w(v) = -v**2 + 5*v - 18. Let j be w(5). What is the remainder when 62 is divided by j/(-90) + (-79)/(-5)?
14
Suppose 19*o = 4423 - 4328. What is the remainder when 9226 is divided by o?
1
Let p(l) = l**3 + 9*l**2 - 57. Let y be p(-8). Suppose -y*g + 185 = 24. Calculate the remainder when 28 is divided by g.
5
Let b(w) = -99*w + 1010. Calculate the remainder when b(-19) is divided by 63.
56
Let f(i) = i + 18. Suppose 16 = -4*p, -4*d - 2*p - 12 - 20 = 0. Calculate the remainder when 106 is divided by f(d).
10
Let v be ((-14)/(-28))/((-1)/(-4)). Suppose 0*s + 2*s + 26 = n, -n - v*s + 38 = 0. Calculate the remainder when n is divided by 11.
10
Calculate the remainder when 343 is divided by (65 + -2)/(4 - (13 + -10)).
28
Let y(j) = j**2 + j + 269. Suppose 405 = -31*h + 46*h. What is the remainder when y(0) is divided by h?
26
Let h(w) = -11*w + 41. Suppose 547 - 541 = 3*b. What is the remainder when 91 is divided by h(b)?
15
Let a be (-4)/18 - 121/(-99). Suppose -o - 2*c = 2*o - 17, o + 2*c = -a. Calculate the remainder when 1/(2/42)*(-12)/(-18) is divided by o.
5
Let m(h) = 22*h - 61. Let v be m(13). Let n = v - 205. Calculate the remainder when 37 is divided by n.
17
Let x(l) = -3*l - 12. Let w be x(-4). Suppose w = -25*s + 22*s + 4*f + 601, -3*f + 1050 = 5*s. What is the remainder when s is divided by 19?
17
Suppose -4*w = -3*d - 761, 3*w = 30*d - 25*d + 557. What is the remainder when w is divided by 39?
38
Suppose 4*r - c = 4766, -195*r + 191*r - 2*c + 4748 = 0. Calculate the remainder when r is divided by 21.
14
What is the remainder when (-27158)/(-10) - 4/(-20) is divided by 6?
4
Let g(h) = -29*h - 96. Let j be g(-4). Let r(u) = -5*u + 120. Let o = 77 - 32. What is the remainder when o is divided by r(j)?
5
Let m be 6*(1 + 2/((-4)/1)). Suppose 25*f - 22*f = 5*q + 44, -3*q = m*f - 12. Suppose -5*a + 14 = -1. Calculate the remainder when f is divided by a.
2
Suppose -3*r - 970 = -t + 206, 3*t - r = 3480. Calculate the remainder when t is divided by 362.
72
Suppose -13180*z + 13154*z = -286. Calculate the remainder when 43 is divided by z.
10
Suppose 27*j - 22*j - 220 = 5*s, -3*j + 4*s + 140 = 0. Calculate the remainder when 655 is divided by j.
7
Let x(q) = -2*q**3 + 19*q**2 - 11*q + 22. Let m be x(9). Suppose -2*z - 2*u = -224 - 106, 666 = m*z + 2*u. Calculate the remainder when z is divided by 44.
36
What is the remainder when 261 is divided by 98/28*12/(-9)*-3?
9
Let w(o) = o**3 - 10*o**2 - 7*o + 31. Let i be w(11). Suppose 0 = -i*c + 94*c - 1007. What is the remainder when c is divided by 11?
9
Let c = 182 + -169. Let u(q) = q**3 - 12*q**2 - 6*q - 10. Calculate the remainder when u(c) is divided by 26.
3
Suppose 13864 - 4899 = 3*d - 8*c, 0 = -2*d + c + 5968. What is the remainder when d is divided by 15?
13
Let d(g) = g**2 - 4*g + 6. Let p be d(3). Suppose p*s - s = -26. Let q = 13 - s. What is the remainder when 102 is divided by q?
24
Suppose -t = -2*d + 88, -d + 15*t = 11*t - 23. What is the remainder when 259 is divided by d?
24
Suppose 21*s - 1423 = 6095. Calculate the remainder when s is divided by 70.
8
Let j be (-3)/(320/(-308) - -1). Let z = j + -49. Let x = z - -21. Calculate the remainder when 243 is divided by x.
47
Let j = -44 - -98. Let z = 114 - 109. What is the remainder when j is divided by z?
4
Let p = 179 + -138. Suppose 0 = -2*n - 4*b + 92, -4*n + 184 = b - 0*b. Let u = -25 + n. What is the remainder when p is divided by u?
20
Calculate the remainder when (-204)/(-255) + (0 - (-5741)/5) is divided by 15.
9
Let q(g) = -53*g**2 - 6*g + 3. Let d be q(2). Let t = 397 + d. Suppose -7*a + 2045 = t. What is the remainder when a is divided by 45?
42
Suppose c - 4*q = -23, 2*q = 4*c - 19 + 69. Let f(w) = w + 54. Calculate the remainder when f(c) is divided by 23.
20
Let n = -4651 + 4829. Calculate the remainder when n is divided by 17.
8
Suppose 13*b + 3*b - 46 - 98 = 0. Calculate the remainder when 28 is divided by b.
1
Suppose 26*x = -x + 189. Suppose 4*s - 4 = -2*k, -s - 1 