s is divided by 1 + -2 - (-10 + 1).
2
Suppose j = -20 + 76. Let y(m) = -10*m - 24. Let o be y(-4). Suppose o*v - 13*v = 36. Calculate the remainder when j is divided by v.
8
Let o(j) = -175*j - 15. Let u be o(-2). Suppose u = -0*m + 5*m. What is the remainder when m is divided by 10?
7
Suppose 7 = 5*u - 8. Let b = -104 - -104. Suppose 2*g + 4*a - 6 = b, -2*a + 5 = -u*a. What is the remainder when g is divided by 13?
0
Suppose -88*s = 17*s - 20*s - 765. What is the remainder when 1726 is divided by s?
7
Suppose -45 = -5*r + 5*n, 7 = 4*r - 2*n - 21. Suppose -r = -4*k + 35. What is the remainder when (582/(-42))/(6/(-42)) is divided by k?
7
Suppose -283 = -31*z + 27 + 62. What is the remainder when 358 is divided by z?
10
Let o be 6*(8 - (-90)/(-12)). Suppose 4*p - 176 = -4*h, h - 115 = -o*p + 15. What is the remainder when 337 is divided by p?
36
Suppose 0 = 3*u + 4*c + 80, -2*u + 0*c + c = 35. Let m = -27 - u. What is the remainder when 1*((-830)/(-14) - (-2)/m) is divided by 15?
14
Let c = -2181 - -2231. Calculate the remainder when 395 is divided by c.
45
Suppose 0 = 5*x + 15, 2*x - 33 = z + 2*z. Suppose -2*b - 3*b = -20. Let i = b - z. Calculate the remainder when i is divided by 10.
7
Let y(w) = -w**3 - 4*w**2 - 4*w + 9. Let j(r) = r**3 + 23*r**2 - 4. Let a be j(-23). Calculate the remainder when 623 is divided by y(a).
23
Suppose -5*v = -956 + 81. Let i = v - 91. Calculate the remainder when i is divided by 17.
16
Let v(o) = 4*o + o**3 - 3 + 3*o**2 - 14*o**2 + 9*o**2. Let r be v(3). Suppose 0 = m - r + 16. What is the remainder when 5 is divided by m?
1
Suppose -10*c + 253 = 13. What is the remainder when -3 - ((-3)/6 - 4)*16 is divided by c?
21
Let a = -87 + 133. Suppose 0 = 3*b - k + 3*k - 53, a = 3*b - 5*k. Calculate the remainder when 43 is divided by b.
9
Suppose 10708 = -33*i + 37603. What is the remainder when 1656 is divided by i?
26
Suppose 2*w - 2*x - 412 = 0, 0 = 2*x + 6*x - 64. Calculate the remainder when w is divided by 5 - (0 + (-3 - -1)).
4
Suppose 12495 = 1576*q - 981*q. Suppose 0 = 2*n - 2 - 48. Suppose 2*b = n - 9. What is the remainder when q is divided by b?
5
Suppose -3*y - 3*w = -7068, 2*y + 7*w - 4709 = 4*w. What is the remainder when y is divided by 40?
39
Suppose 10*h - 1606 = -h. Let v(u) = 17*u**2 - u + 4. Let i be v(3). Suppose h + i = 10*c. Calculate the remainder when 59 is divided by c.
29
Suppose 0 = 3*j - 9*a + 14*a - 171, 0 = -18*j - 4*a + 948. What is the remainder when 702 is divided by j?
26
Let q(y) = y**2 - 4*y + 7*y + 10*y - 11. Let x be q(-14). Suppose 2*j - 476 = -2*j - 4*p, x*j - 2*p = 377. Calculate the remainder when j is divided by 25.
23
Let p(b) be the first derivative of 35*b**3/3 + 4*b**2 - 15*b - 15. What is the remainder when p(2) is divided by 13?
11
Let i = 15 - 10. Suppose 8 = i*y - 0*y + 4*o, 2 = 2*y + o. Suppose y = l - 5 - 10. What is the remainder when l is divided by 6?
3
Suppose 33*d = 53*d - 1880. What is the remainder when 277 is divided by d?
89
Let r = -60 - -132. Let l be (3 - (0 - -2))/((-5)/(-15)). Suppose 0 = -l*d + 14 + 61. Calculate the remainder when r is divided by d.
22
Suppose 6*g + k - 187 - 100 = 0, 2*g - 98 = 2*k. Calculate the remainder when 881 is divided by g.
17
Suppose 12*v - 17 - 895 = 0. What is the remainder when v is divided by 13?
11
Let j = 4522 - 2797. Calculate the remainder when j is divided by 8.
5
Let r(k) = -2*k**3 - k**2 - k - 6. Let n be r(-3). Let q be (-280)/n - 4/(-6). Calculate the remainder when 82 is divided by 2*(4 + (-39)/q).
19
Let d(l) = -378*l - 111. What is the remainder when d(-17) is divided by 243?
240
Suppose -w + 25 = 2*c, w + 0*w = -c + 23. Suppose 10*a - w*a = -1672. What is the remainder when a is divided by 44?
20
What is the remainder when (-42784)/(-98) + (60/21)/(-5) is divided by 34?
28
Let v be (-48)/(-60) + 1 + 32/10. Suppose -14*c + 9 = -17*c, -c + 732 = v*u. What is the remainder when u is divided by 30?
27
Suppose 304*q - 260328 + 82488 = 0. Calculate the remainder when 1194 is divided by q.
24
Let j(h) = -377*h - 334. Calculate the remainder when j(-2) is divided by 43.
33
Let o(h) = -8*h**3 - 16*h**2 + 3*h - 5. Let y be o(-5). Suppose y*i = 579*i + 22. What is the remainder when 240 is divided by i?
20
Let t = 306 + -119. Let j = -164 + t. What is the remainder when 63 is divided by j?
17
Let k = -27220 - -30991. Calculate the remainder when k is divided by 7.
5
Let f(p) = -4*p - 26. Let b(o) = -32*o - 4. Let a be b(-1). Suppose x + 4*x - 140 = u, -u + a = x. Calculate the remainder when x is divided by f(-8).
4
Suppose -160*j + 266674 + 646770 = 179364. Calculate the remainder when j is divided by 135.
133
Suppose 258*v - 224*v - 207967 - 95517 = 0. Calculate the remainder when v is divided by 186.
184
Let j = 21478 - 21193. Calculate the remainder when j is divided by 53.
20
Let i = 144 - 65. Let b be (-36)/60 - (-39)/15. Suppose 0 = b*h, -h - 10 + 1 = -k. Calculate the remainder when i is divided by k.
7
Let p = 12491 - 12411. What is the remainder when 3599 is divided by p?
79
Let s(o) = 178*o - 1948. Calculate the remainder when s(17) is divided by 108.
106
Suppose 56 - 191 = -5*s. Suppose g - s = 10. Calculate the remainder when 11 + 2587/(-234) + (-13180)/(-72) is divided by g.
35
Let c = 56669 + -56627. Suppose -2*b + 332 = 2*t, 7*b - 4*b = -2*t + 498. What is the remainder when b is divided by c?
40
Suppose 0 = 8*z - 1418 - 726. What is the remainder when z is divided by 16?
12
Let n be (2 + -3)*1*(2 + 0). Let w(t) = 291*t**2 - 3*t - 11. What is the remainder when w(n) is divided by 83?
80
Let z(s) = 2991*s + 8977. What is the remainder when (2/(-4))/((-1)/46) is divided by z(-3)?
3
Suppose 0 = -10*d + 1376 - 555 + 1279. Calculate the remainder when 1029 is divided by d.
189
Let b = 17621 - 17569. What is the remainder when 1661 is divided by b?
49
Let c(p) = 43*p + 35. Let w(x) = -5*x - 77. Let i be w(-16). What is the remainder when c(i) is divided by 11?
10
Let u be (-288)/3*1 + -5. Let z = u - -105. Calculate the remainder when 47 is divided by z.
3
Let q(j) = -17*j - 761. Calculate the remainder when 111 is divided by q(-47).
35
Suppose 0 = 70*u - 40*u - 240. What is the remainder when 647 is divided by u?
7
Let u be (-1)/(-3)*((-14)/7 - 1). Let y(f) = f**2 + 7*f + 4. What is the remainder when u + (4 + 128)/4 is divided by y(-8)?
8
Let l = 11 + -7. Suppose 0 = l*p - 3*p - 2. Suppose 85 = p*s + 3*g, 3*g + 161 = s + 3*s. Calculate the remainder when 79 is divided by s.
38
Suppose 34*i + 1374 = 37*i. Suppose -3*y + i = -238. Calculate the remainder when y is divided by 51.
28
Suppose -j + 137 = u, 294 = 4*j - 2*u - 272. Calculate the remainder when j is divided by 27.
5
Suppose -7*h + 20*h = 5*h + 176. Calculate the remainder when 2459 is divided by h.
17
Let l = 1089 - 681. Suppose 0*c = 17*c - l. What is the remainder when 228 is divided by c?
12
Suppose 2*d + 1216 = -2*d - 4*z, 2*z = -3*d - 910. Let u = d + 309. Calculate the remainder when 35 is divided by u.
0
Let n(v) be the second derivative of -v**4/12 - 7*v**3/6 + 11*v**2 - 9*v - 2. What is the remainder when 59 is divided by n(0)?
15
Let a(y) = -y**3 - 83*y**2 - 50*y + 129. Calculate the remainder when a(-83) is divided by 84.
79
Suppose 64 - 168 = -3*j - 5*a, -15 = 3*a. Suppose j = 6*c - 59. What is the remainder when 56 is divided by c?
5
Suppose -16861*x + 76615 = -16826*x. Calculate the remainder when x is divided by 32.
13
Let m(b) = -11*b - 1. Suppose 5*d = -2*j - 42, 2*d - 14 = 5*j - 54. Let r = -886 - -914. Calculate the remainder when m(d) is divided by r.
25
Let u = 60689 + -60661. Suppose 2*h - 1158 + 436 = 0. Calculate the remainder when h is divided by u.
25
Let s = 1729 + -1700. What is the remainder when 866 is divided by s?
25
Let u(d) = -d**2 + 12*d + 18. Suppose -b + 5*b - 48 = 0. Suppose 3*t - b = 24. Calculate the remainder when 33 is divided by u(t).
15
Calculate the remainder when 2279 is divided by (4 - 99/(-18))*-1*(1 - 3).
18
Let l = 107 - 112. Let z be (-5)/(-15) - (-1 + l/3). Suppose 2*v + 3*v - 4*k - 47 = 0, 2*k = z*v - 27. Calculate the remainder when 40 is divided by v.
5
Suppose -3*z + 17 = o, 9*z = 4*z. Let n = -238 + 241. What is the remainder when o is divided by n?
2
Calculate the remainder when 1538 