u + 72 = t*n - 3*n. Calculate the remainder when 34 is divided by n.
16
Suppose 3*h - 2*v - 426 = 446, -2*v = -5*h + 1460. What is the remainder when 312 is divided by h?
18
Suppose 4*a - 211 = 125. Suppose 3*t - 36 = v, -14*v = 300*t - 301*t + 53. Calculate the remainder when a is divided by t.
7
Let t = 4193 + -4098. What is the remainder when 255 is divided by t?
65
Let q(o) = -o - 2. Let d be q(-7). Let p = 18 - d. What is the remainder when 1 + p - 2/2 is divided by 8?
5
Let k(x) = -2*x**2 - 2*x - 4. Let o(t) = t**2 - 2*t - 4. Let j be o(0). Let a be k(j). Let b = 38 + a. What is the remainder when 16 is divided by b?
6
Suppose -4*p + 116 = -4*c, 0 = 2*p - 18*c + 23*c - 16. What is the remainder when 3102 is divided by p?
20
Let z(x) = 2*x**3 + 2*x. Suppose 4*n - 2*c + 4*c + 566 = 0, -4*n - 573 = -5*c. Let u = n - -158. What is the remainder when z(3) is divided by u?
12
Suppose -55 = -h + 39. Calculate the remainder when h is divided by 50/(-9*(-1)/3 - 1).
19
Suppose 2*q = -0*q + 170. Let f = 2096 + -2153. Let y = f + q. Calculate the remainder when y is divided by 16.
12
Let f be 300/(-18)*(-1 - -7). Suppose -17*v - 367 = -21*v + 5*n, -v + 82 = 2*n. Calculate the remainder when v is divided by f/35*(-7)/2.
8
Calculate the remainder when 2324 is divided by (-2 - -1)*7/(91/(-403)).
30
Suppose -3*i + 5*i = -6. Let j(o) = o - 39. Let n be j(24). What is the remainder when 35 is divided by 4 - i/(-3) - n?
17
Suppose -15*b = -73 - 137. Let w be 4/((-9)/((-837)/6)). Suppose d - v = 2*v + w, 0 = -v + 1. Calculate the remainder when d is divided by b.
9
Let y be -8 + (8 - 0) + -1 - 3. Let m(o) = -6*o**3 - 5*o**2 + 5*o + 9 - 4 + 4*o**3. Calculate the remainder when m(y) is divided by 12.
9
Let p(q) = 11*q**2 - 22*q + 1. Let t(f) = 5*f**2 - 11*f. Let c(k) = -6*p(k) + 13*t(k). Let y = -83 + 115. Calculate the remainder when y is divided by c(-3).
14
Let w(a) = 34*a**2 + 3*a - 5. Suppose 8 - 5 = 3*u. Calculate the remainder when 153 is divided by w(u).
25
Suppose -v + 8 = 5*k, 3*k - 32 = -v + 2*k. What is the remainder when 8*5*16/5 is divided by v?
14
Let z(k) = k**2 + k + 18. Let d be z(-9). Suppose 110*j - d = 105*j. Calculate the remainder when 52 is divided by j.
16
Let z(g) be the third derivative of 1/12*g**4 + 0 + 4/3*g**3 + 11*g**2 + 0*g. What is the remainder when z(9) is divided by 7?
5
Let z(b) = 22*b**3 - 1407*b**2 - 19*b + 53. What is the remainder when z(64) is divided by 60?
53
Let x(d) = -11*d**3 + d + 11. What is the remainder when x(-4) is divided by 32?
7
Let l(h) = 2*h**3 + 22*h**2 + 15*h - 20. Let o be l(-10). Suppose -o*r + 46*r = 496. Let q(m) = 92*m. Calculate the remainder when q(1) is divided by r.
30
Let s = 635 + -1000. Let o = s - -522. Let l = -300 + 340. What is the remainder when o is divided by l?
37
Suppose 12*x - 30*x = -1786 - 5378. Calculate the remainder when 1323 is divided by x.
129
Suppose 0 = -1492*j + 1143*j + 58632. What is the remainder when 13607 is divided by j?
167
Suppose 0 = -3*c - 0*c + 48. Let v = 34602 + -34594. What is the remainder when c is divided by v?
0
Suppose -18 = -4*l + 30. Suppose -7*m + 6*m = -l. Suppose 7*p + 52*h - 675 = 50*h, -p + 3*h = -80. What is the remainder when p is divided by m?
11
Let w = 204 + -201. Suppose -31 = -i + 2*a + 69, -w*i = -5*a - 302. Calculate the remainder when i is divided by 35.
34
Suppose 5*r = v + 53 + 446, -2*r + 4*v + 196 = 0. Suppose -5 = -5*g + 150. What is the remainder when r is divided by g?
7
Let m = 89 - 50. Let z = m - 23. What is the remainder when 2 + 64/(-30) - 302/(-15) is divided by z?
4
Let b = -36 + 41. Suppose 31 - 7 = g + 2*j, -g + 17 = -b*j. Calculate the remainder when g is divided by ((-1)/(-2))/((-4)/(-144)).
4
Let s(g) = 48*g - 2366. What is the remainder when 3115 is divided by s(51)?
81
Let a(d) = 2*d**2 + 16*d - 54. Calculate the remainder when 4025 is divided by a(-13).
73
Let q = 59 + -36. Let b be (-73)/(-146) + (2 - (-2)/(-4)). Suppose 2*y + 18 = b*z, -2*z + 8 + 4 = y. What is the remainder when q is divided by z?
2
What is the remainder when 1287 is divided by (-2)/(-4) + ((-143)/22)/(-1)?
6
Suppose 0 = -2*a - 3*a + 205. Let u(h) = 30*h - 418. Let m be u(14). Suppose -m*r = -r - a. What is the remainder when r is divided by 21?
20
Suppose -34*q + 35*q + 86 = 0. What is the remainder when 0 - 4/8*q is divided by 25?
18
Let v(h) = 1672*h + 6775. Let c(s) = 14*s**2 - 2*s + 3. What is the remainder when c(-6) is divided by v(-4)?
84
Suppose 0 = -2*y - 3*y + 170. Let u = -19 + y. What is the remainder when 43*11*(-11 + (-1586)/(-143)) is divided by u?
13
Let g be 9/((-9)/(-34)) + -4. Suppose -g*d + 1993 = -3497. What is the remainder when d is divided by 31?
28
Suppose f + 4*z - 109 = z, 4*z - 412 = -4*f. Calculate the remainder when 4398 is divided by f.
98
Let q = -8 - -32. Let n(x) = -8184*x + 114589. What is the remainder when q is divided by n(14)?
11
Let m = 61 + -63. Let l(a) = -59 - 7*a + 114 - 59. What is the remainder when 98 is divided by l(m)?
8
Suppose 16*r + 4*w + 755 = 21*r, -5*r + 5*w + 755 = 0. Calculate the remainder when r is divided by 27.
16
Let s(v) = 382*v**2 + 517*v + 3170. Calculate the remainder when s(-6) is divided by 79.
74
Suppose -1316*d + 1715 = -7497. Let v(j) be the third derivative of j**5/15 - j**4/24 - j**3/6 - 2*j**2. Calculate the remainder when v(2) is divided by d.
6
Let j = 39 - 25. Let t(m) = 2*m**3 + 185*m**2 - 1083*m - 242. What is the remainder when t(-98) is divided by j?
10
Let h(g) = -6*g - 300. Let p be h(-51). Suppose -2*r + 157 = 3*v, 2*r = 4 - p. Calculate the remainder when 250 is divided by v.
38
Suppose 3*r - r - 96 = 0. Suppose 8*t + 3177 = 3313. Calculate the remainder when r is divided by t.
14
Let q = -367905 + 367930. Let z(p) = 17*p**3 - 2*p**2 + p. Calculate the remainder when q is divided by z(1).
9
Let a(f) = -7*f + 1758. What is the remainder when a(0) is divided by 80?
78
Let z(i) = 7*i**2 + 46*i - 92. Suppose 23*x = 18*x + 2515. Calculate the remainder when x is divided by z(2).
27
Let p be 8/(-6)*(-30)/20. Suppose -p*y = -4*y + 8. Suppose 180 = 4*w - 4*a, w - y*a - 39 = -0*a. Calculate the remainder when w is divided by 16.
15
Let x = 24 + -24. Suppose 0 = -5*f - x*h + 4*h, -3*f = 2*h. Suppose 2*v + o - 48 = f, -3*v - 5*o + 70 = -2. Calculate the remainder when 47 is divided by v.
23
Let o(h) = h**3 + 50*h + 19*h**2 - 6*h - 4*h**3 + 2*h**3 - 14. Calculate the remainder when 418 is divided by o(21).
26
Suppose 6*t + 107 = 9*t - 1780. What is the remainder when t is divided by 9?
8
Let f = -157 - -266. Suppose 3*g + s = -219, 0 = -5*g + 54*s - 50*s - 382. Let u = f + g. Calculate the remainder when u is divided by 14.
7
Let d(v) = -87*v + 130. Calculate the remainder when 284 is divided by d(0).
24
Suppose 0 = 6*m - 24*m - 476 + 1070. Calculate the remainder when 559 is divided by m.
31
Let p = -444 - -436. Let l be 19 - 4 - (-1)/1. Let d = l - p. Calculate the remainder when 92 is divided by d.
20
Suppose -1041 = -6*j - 441. What is the remainder when 339 is divided by j?
39
Suppose z + 207 + 210 = t, -433 = -t - 3*z. What is the remainder when t is divided by 95?
41
Suppose -2331 = -15*s + 1254. What is the remainder when s is divided by 34?
1
Let w(i) = -10*i - 52. Let c be w(-6). Suppose c*n - 46 = -6. Suppose -35 + 25 = -2*f. Calculate the remainder when f is divided by n.
0
Suppose 218*o - 3588 = 195*o. Calculate the remainder when 245 is divided by o.
89
Let s(m) = -5*m + 6. Let q be 657/9 + -7 - -9. Let w = q - 69. What is the remainder when s(-7) is divided by w?
5
Suppose 4*x - 352 = -28. Let d = -140381 - -140422. What is the remainder when x is divided by d?
40
Let u(q) = -q - 2. Let o be u(-4). Suppose -o*d = -8 - 14. Suppose -2*n + 21 = 5*x, n + 6 = 3*x - 0*n. What is the remainder when d is divided by x?
2
Let r = -1089 + 1218. What is the remainder when 3607 is divided by r?
124
Let u = 732 + -688. What is the remainder when 137 is divided by u?
5
Suppose -3*l + 5*x = -667, -580 = -2*l - 4*x - 150. What is the remainder when l is divided by 41?
14
Let s(h) = h - 4. Let d be ((-72)/(-10) + -6)*20. Suppose 0 = -14*k - d + 80. Calculate the remainder when k is divided by s(6).
0
Let g(r) = -r**3 - 3*r**2 + 4*r + 2. Let c be g(-4). Suppose -3*f 