is divided by 21.
20
Let y = -55 - -70. Suppose -a = 2*a - 5*m - 124, -2*a + 91 = 5*m. Let r = a - 3. What is the remainder when r is divided by y?
10
Suppose -251*d + 1333 + 3053 = -2140. What is the remainder when 1289 is divided by d?
15
Let u = -37525 - -49814. What is the remainder when u is divided by 10?
9
Let v(a) = 11*a - 42. Suppose -i - 2*i = -126. What is the remainder when v(38) is divided by i?
40
Let w be (-2)/(-2)*(0 + 88/4). Suppose -3*x + 7*x + w = 2*y, -3*x - 8 = -y. Calculate the remainder when 44 is divided by y.
10
Let l(z) = -z**3 - z**2 + 12*z + 10. Let o be l(-4). Suppose -o*w + 64 + 206 = 0. What is the remainder when 8/6 - -12*784/72 is divided by w?
24
Calculate the remainder when 1784 is divided by 159 - 130/(-12 - -22).
32
Let y(t) = -59*t - 340. Let x(b) = -2*b**3 - 5*b**2 - 4*b + 5. Suppose -3*o = -4 + 16. Calculate the remainder when x(o) is divided by y(-6).
13
Suppose -116*q - 9*q + 1000 = 0. Let b(u) = -u**3 + 2*u**2 + 4*u + 4. Let t be b(-5). Suppose 25 = q*y - t. What is the remainder when 68 is divided by y?
22
Calculate the remainder when 4585 is divided by ((-1500)/(-48) - (-9 - -2))/(6/24).
148
Suppose 3*h = b - 395, 2*b - 846 = -8*h + 6*h. Calculate the remainder when 1257 is divided by b.
9
Suppose 5*m - 83 = 3*d, 2*m + 0*d - 34 = d. Let w = 38 - m. Calculate the remainder when w is divided by (2 - 24/15)*5.
1
Suppose 3*b = 2*q + 40, 13 + 52 = 5*b - 5*q. Calculate the remainder when 445 is divided by b.
11
Let f(w) = -w**3 + 3*w**2 + 6*w - 14. Let t be f(3). Suppose 4*c - t*z = -8*z + 336, 3*c + 5*z - 246 = 0. Calculate the remainder when c is divided by 11.
10
Let z(j) = -j + 22. Let w = 2348 + -2258. Calculate the remainder when w is divided by z(9).
12
Suppose 0 = -4*c + 5*q + 29 + 165, 3*q + 190 = 4*c. Suppose 0 = -5*m - 3*m + 104. What is the remainder when c is divided by m?
7
Suppose 20*a = 15*a + 112 + 8. Suppose m - 4*m = -5*q - 124, 0 = 3*m + 5*q - 134. Calculate the remainder when m is divided by a.
19
Let s = 187 - 136. Suppose 10*r - 211 + s = 0. Let p = 2 - 0. Calculate the remainder when r is divided by p.
0
Let y(f) = f**2 - 8*f - 15. Suppose 0 = -7*j - 5*j + 5964. What is the remainder when j is divided by y(13)?
47
Let o(q) = -q**2 + 14*q + 2. Let s be o(14). Suppose -l = s*w + 77, -4*l = -3*w - 0*w + 363. Let a = l - -180. What is the remainder when a is divided by 12?
9
Let s = 1060 + -789. What is the remainder when s is divided by 119?
33
Let x = -30 + 396. Suppose 0 = 6*a - x + 330. What is the remainder when 15 is divided by a?
3
Suppose 0*i + 27*i - 999 = 0. Suppose 0 = -3*g - 9, -36*g + 14 = l - i*g. Calculate the remainder when 152 is divided by l.
9
Let g(k) = 98*k**2 - 10*k + 6. Let z be g(5). Suppose -5*d - 2*a - z = 0, 5*d - 8*a = -4*a - 2388. What is the remainder when 62 is divided by 3/7 - d/56?
8
Let t = -466 - -809. Suppose 5*c - 2*k - 571 = 0, -k - t = -5*c + 2*c. What is the remainder when c is divided by 9?
7
Let r(m) = 2*m**2 + 18*m + 39. Suppose -3*q - 31 = 5*w + 5, -5*q + 3*w - 26 = 0. Calculate the remainder when 19 is divided by r(q).
8
Suppose 4*j - 2550 = 5*b, -5*b + 236 + 1084 = 2*j. Calculate the remainder when j is divided by 172.
129
Suppose 7276*t + 522 = 7305*t. What is the remainder when (-2 - -4) + 1 + 171 is divided by t?
12
Let u = -4983 + 5048. What is the remainder when 1732 is divided by u?
42
Let z(r) = r**2 - 5*r + 11. Suppose -29*y + 17 = -28*y. Suppose -6*p = -25 - y. Calculate the remainder when 47 is divided by z(p).
22
Suppose 1462 - 40 = k - 2*r, -k - 5*r + 1429 = 0. Calculate the remainder when 1444 is divided by k.
20
Let o = 30 + -27. Suppose -2*s - o*s = 4*a - 96, -s = -4*a. What is the remainder when 46 is divided by s?
14
Suppose 83*c + 81*c = -11*c + 10675. What is the remainder when c is divided by 31?
30
Suppose -8*r + 22 + 314 = 0. What is the remainder when 91 is divided by r?
7
Let x(j) = 2*j**3 - 2*j**2 - 3*j - 1. Let d be (-153)/(-34) + 3/(-2). Let l(r) = 21*r - 96. What is the remainder when l(8) is divided by x(d)?
20
What is the remainder when (-36)/(-234) + 13332/39 is divided by 23?
20
Suppose -3*t - 5*d + 136 = 0, -t + 2*t - 5*d = 32. What is the remainder when 61 is divided by (5/(-2 - -7))/(2/t)?
19
Let x = -29 - -31. Suppose 21 = x*s + z - 25, -5*s = -2*z - 106. Suppose -8*n + 9 = -15. What is the remainder when s is divided by n?
1
Suppose 456 + 150 = 6*r. Suppose 4*g - 3*m = -8*m + r, 110 = 5*g + 3*m. What is the remainder when 52 is divided by g?
14
Let x = 225 + -221. Suppose -165 = -5*p - b, 7*p - 2*p + x*b - 180 = 0. Calculate the remainder when 92 is divided by p.
28
Let n(s) = -s**3 + 6*s**2 + 8*s - 5. Let c be n(7). Let b(u) = 8*u**2 - 2*u. Let q = 28 - 11. Calculate the remainder when b(c) is divided by q.
11
Suppose 4*k = 23*k + 1831 - 5403. What is the remainder when k is divided by 170?
18
Let j(d) = d**2 - 2*d + 1. Let y = 551 + -471. Calculate the remainder when y is divided by j(-2).
8
Suppose m = -4*w + 16, 3*m - 4*w = 6*m - 16. Suppose 3*o + 3*y - 75 = m, -4*y = 5*o - 6*o + 25. What is the remainder when 146 is divided by o?
21
Let y(r) = -2*r**3 - 75*r**2 + 25*r - 246. Calculate the remainder when y(-38) is divided by 11.
6
Suppose n + 8 = 4*q + 1, -2*q = -2. Let d be (-33 - 0)*1/n. Suppose t = d*t - 1480. Calculate the remainder when t is divided by 30.
28
Let b = 1250 + -888. Let s = -156 + b. What is the remainder when s is divided by 42?
38
Suppose 2*b = 4*m + 596, -5*b + 3*m = -2*b - 909. Let s be (-54)/(-72) - 10/(-8). Suppose 6*i - s*i = b. Calculate the remainder when i is divided by 26.
25
Suppose -m - 4*k - 78 = -0*m, 3*m + k + 245 = 0. Let o = 195 - m. Calculate the remainder when o is divided by 40.
37
Let g(p) = -294*p + 13. Let k be g(-1). Suppose 2*q = 345 - k. What is the remainder when 68 is divided by q?
11
Let g(i) = -49*i**2 - 2*i + 43. Let r = 134 - 58. What is the remainder when r is divided by g(0)?
33
Let v = 30 + -26. Suppose -2*h - 4 = 2*h, 0 = -3*k - v*h + 278. What is the remainder when k is divided by 19?
18
Let k be 1/(-1)*1 + 19 + -18. Let x(c) = -2*c**2 + 2*c + 7. Suppose 0 = 3*y - 21 - 9. Calculate the remainder when y is divided by x(k).
3
Suppose -73 = 3*s - 88. Suppose 2*m - 2*l - 140 = 24, 3*m - s*l - 252 = 0. Calculate the remainder when m is divided by (3 - (-90)/12)*2.
16
Let p(n) = -n**3 + 37*n**2 - 66*n - 15. Suppose 0 = r - q - 30, -4*r + q + 190 - 55 = 0. Calculate the remainder when p(r) is divided by 42.
41
Let y(g) = -4*g**2 + g + 1. Let f(n) = -25*n**2 - 28*n - 99. Let v(i) = f(i) - 6*y(i). Calculate the remainder when v(-26) is divided by 53.
50
Let g(z) = -50*z + 255. Let q be g(5). Let n(d) = -4*d**3 - 2*d**2 + d - 2. Let m be n(-2). Suppose m = q*a + 10. What is the remainder when 3 is divided by a?
1
Suppose -9*b + 10*b = 4. Suppose i = j - 30, 0*j = -j - b*i + 10. What is the remainder when j is divided by 13?
0
Let c(h) = 2*h**2 - 43*h - 28. Let r be c(9). Let z = -135 - r. Calculate the remainder when z is divided by 24.
22
Suppose 4*g = 2*q - 204 + 744, 0 = -5*g - 5*q + 735. Suppose 81 = -5*a + 881. Let p = a - g. Calculate the remainder when 165 is divided by p.
18
Suppose 19 = 2*a - f, 64*a - 59*a - 25 = 5*f. What is the remainder when 6336 is divided by a?
8
Let o(b) = -14*b**2 - 11*b + 19. Let f be o(-5). Let p = 294 + f. Calculate the remainder when 100 is divided by p.
10
Suppose -121*p + 3551 + 2741 = 0. What is the remainder when (-76)/3*-2*3 is divided by p?
48
Let q(a) = -9*a - 97. Suppose 2*v = 14*v + 156. What is the remainder when 58 is divided by q(v)?
18
Let d = 1043 + -1037. What is the remainder when 12/18 + 115/3 is divided by d?
3
Let a(d) = -5*d + 6 + 7*d - d**3 + 0*d**3. Suppose 10*v - 183 = -213. Calculate the remainder when a(v) is divided by 10.
7
Let x(o) = -o**3 + 7*o**2 + 4*o + 10. Let u be (7/(-21))/(3/(-63)). Suppose 5*r = u*r - 12. What is the remainder when x(r) is divided by 8?
6
Suppose -4*v - 24 = -v. Calculate the remainder when (-12)/16*(-33512)/426 is divided by (-254)/v - 2/(-8).
27
Let d be ((-8)/6)/(10/(-15)). Suppose 155 = d*q + 3*q. What is the remainder when 66 + (-7 - -4) + -5 + 1 is divided by q?
28
Suppose 0 = 5*x + 2*v - 19123, -v - 8348 - 6940 = -4*x. What is the remainder when x is di