 = 0. Suppose r = -4*i + 162 + 158. Calculate the remainder when i is divided by 14.
10
Let f(z) = z**3 + z + 1. Let x(g) = 2*g**3 + 5*g**2 - 8*g + 14. Let i(c) = 3*f(c) - x(c). What is the remainder when 1319 is divided by i(5)?
43
Let a(n) = -60*n - 5 + 2 + 7*n**2 + 58*n. Let q be a(-4). Suppose m - 78 = -3*h, -6*h + q = -2*h - 3*m. Calculate the remainder when h is divided by 11.
5
Suppose -4*n + t = -1012, 2*t - 1157 = -5*n + 108. What is the remainder when 1755 is divided by n?
237
Let u = -79 + 180. Let v(b) = -28*b - 25. Let m be v(-5). Suppose m*d - 107*d = 240. What is the remainder when u is divided by d?
11
Suppose 0*t + 4*t + 28 = 0. Let g = t - -28. Suppose 2*m = 5*f - 0 + g, m + 5*f - 33 = 0. What is the remainder when 32 is divided by m?
14
Let d be (39 - -1) + (-3 - (-5 + 3)). Let b = -8 + d. What is the remainder when 56 is divided by b?
25
Suppose k = -9*u + 10*u - 48, 156 = -3*k - 3*u. Let l = k - -82. Calculate the remainder when 223 is divided by l.
31
What is the remainder when 537 is divided by 2609/9 - (91 + -87 - 37/9)?
247
Calculate the remainder when -3 + (6/(-51) - 26964/(-306)) is divided by 59.
26
Let s = -398 + 282. Let i be s/14 - ((-48)/(-42))/(-4). Calculate the remainder when 75 is divided by i/(-1 + 5) + 29.
21
Let a be 0 + (-4 - 0) + 1. Let w be (-250)/a*57/38. Let l = w - 50. What is the remainder when l is divided by 19?
18
Suppose 225*j = 216*j + 1071. What is the remainder when 3330 is divided by j?
117
Let w(y) = -2*y**3 - 17*y**2 + 20*y - 40. What is the remainder when 778 is divided by w(-10)?
58
Let w = -2530 - -2654. Calculate the remainder when 147 is divided by w.
23
Let t = 47824 + -45408. Calculate the remainder when t is divided by 6.
4
Let t(p) = -30*p - 2. Suppose j - 5*j + r + 3 = 0, 4*j = -3*r + 23. Let h be t(j). What is the remainder when 2*h*2/(-8) is divided by 8?
7
Suppose k - 381*p = -377*p + 32, 0 = -4*k + 2*p + 128. Let w be (-4)/(-10) + 297/(-5). Let u = k - w. What is the remainder when u is divided by 19?
15
Let n(a) = a**3 - a**2 - 18*a + 20. Let s be n(8). What is the remainder when 63 is divided by (-3)/((-18)/(-8)) + 3672/s?
3
Let u(s) = -s**2 + 21*s - 800. Let p be u(0). Let d = 818 + p. What is the remainder when 152 is divided by d?
8
Suppose 0 = 3*g - 2*k - 661, 2*g - 446 = -0*g - 4*k. What is the remainder when g is divided by 218?
3
Let p be ((-4)/(-6))/(3/9). Suppose 60 = -p*d + 4*d. Let o(n) = -n**2 - 53*n + 569. Calculate the remainder when d is divided by o(-62).
8
Let c be ((-188)/470)/((-2)/130). Suppose 0 = 3*y + 9, -24*s + c*s - 5*y - 35 = 0. Let r = 25 - -42. What is the remainder when r is divided by s?
7
Suppose -2*x = -4*r + 3*x + 2, 3 = 3*r - 3*x. Suppose -4*i + 4*j + 96 = 0, -2*j + 30 = r*i - 42. What is the remainder when i is divided by 13?
11
Suppose 15*k = 210 + 135. Let x = 5 - 8. Let p(v) = -v**3 - 2*v**2 + v + 3. What is the remainder when k is divided by p(x)?
5
Let x = 4852 + -4818. Let h(g) = -15*g**3 + 3*g**2 - 2. Let m be h(-2). Let q = -31 + m. What is the remainder when q is divided by x?
31
Suppose 5*p - 5*h - 800 = 0, -3*h + 404 = 5*p - 364. What is the remainder when 1228 is divided by p?
136
Suppose -p + 3355 = -5*h, h - 13 + 7 = 0. What is the remainder when p is divided by 11?
8
What is the remainder when 4366 is divided by ((-43)/172)/(2/(-168))?
19
Let k = 469 - 404. Calculate the remainder when 4547 is divided by k.
62
Calculate the remainder when 91 is divided by 5/(15/(-35) - (234/(-154) + 1)).
36
Let u(l) = 56 - 43 - 3*l - 33 - 41. What is the remainder when (-3)/(1 - 4) - -40 is divided by u(-28)?
18
Suppose -29*o + 27*o - 17 = -c, -5*o - 40 = -5*c. What is the remainder when (-516)/(-8)*(-12)/o is divided by 23?
17
Let z(q) = q**3 + 8*q**2 + 5*q - 14. Suppose 4*c = -3*p + 79, 4*c - 3*p + 0*p - 49 = 0. Calculate the remainder when z(-4) is divided by (40/c)/(1/2).
0
Let d = -3830 + 3848. Let f = 16 - 10. Suppose 3*i - 13 = -4*p, -3*i = -3*p - 6*i + f. Calculate the remainder when d is divided by p.
4
Suppose 200 = 3*j + 6*w - 8*w, -2*w = 2*j - 140. Suppose -12*u + 236 - j = 0. Calculate the remainder when u is divided by 5.
4
Let w(f) = f - 2. Let n(u) = -3*u - 5. Let z(d) = -n(d) - 4*w(d). Suppose s - 5 = 3. Calculate the remainder when s is divided by z(9).
0
Suppose 0 = -81*v + 127*v - 6670. Calculate the remainder when v is divided by 7.
5
Suppose 528 - 1557 = 7*q. Let u = q + 205. Calculate the remainder when u is divided by 24.
10
Let v(q) = q**3 - 16*q**2 - 12*q - 3. Let t be (-130)/(-8) - 6/(-8). Let m be v(t). What is the remainder when (m/4 + 10 + -9)*2 is divided by 16?
11
Suppose -3*o - 3*o = -0*o. Let j be -1*(-1 - (o + 4)/(-4)). Suppose -3*n + 15 = 0, j*v = -2*v + 3*n + 381. What is the remainder when v is divided by 50?
48
Let c = 30024 - 21296. What is the remainder when c is divided by 203?
202
Suppose 707 = 35*a - 30*a - j, 5*j + 695 = 5*a. Calculate the remainder when 522 is divided by a.
96
Let c(f) = f**2 + 10*f - 15. Let x be c(-12). Suppose 3*w - 1 = m - 4, 2*m - w = 11. What is the remainder when 42 + x - 0/2 is divided by m?
3
Let c = -99 - -33. What is the remainder when 55 is divided by 2/2*-3*176/c?
7
Let b(d) = 16 + 17*d - 104 - 54*d - 25*d. What is the remainder when b(-5) is divided by 5?
2
Suppose -56 + 536 = 16*v. Suppose -9*y + 112 = -y. What is the remainder when v is divided by y?
2
Let w be (-9)/(135/(-10))*-3 + (-6)/(-3). Let i = 7 + -2. Suppose -i*x + 25 = w, -22 = -5*m - 2*x + 378. What is the remainder when m is divided by 20?
18
Suppose -3*k = -6, -7*l + 10*l = -5*k + 10. Suppose 24*d - 620 - 1084 = l. What is the remainder when d is divided by 19?
14
Suppose 13*z = 5891 - 1042. Let t = z + -346. Let u = 222 + -117. What is the remainder when u is divided by t?
24
Let j = -1691 + 1740. What is the remainder when 403 is divided by j?
11
Let a = -19 + 30. Let g = a + 21. Suppose 0*s + g = 8*s. What is the remainder when 57 is divided by s?
1
Let h = 86 - 55. Let j = h - -19. Calculate the remainder when 2/(-8)*-2 + 1575/j is divided by 11.
10
Let w(n) = 9*n - 1. Suppose -o + 279 = 2*a, 0 = 16*a - 63*o + 61*o - 2162. What is the remainder when a is divided by w(4)?
31
Calculate the remainder when (-1038)/(-8)*(-4848)/(-1818) is divided by 114.
4
Let w = 186 + -188. What is the remainder when 110 is divided by -2 + 3 - w - -16?
15
Let t(y) = 4*y + 49. Suppose 100 = 17*q - 121. What is the remainder when t(0) is divided by q?
10
Let w(j) = 2*j + 12. Let u be w(-6). Suppose 11*x - 13*x + 8 = u. Suppose 5*q + x = 2*q - 4*a, -3*q + a = -16. Calculate the remainder when 13 is divided by q.
1
Let s be 11 - ((-3)/4 + 15/4). Suppose -5*b + 1 = m, -m - 4*b = -6*b - s. Suppose -4*d + 129 = 21. What is the remainder when d is divided by m?
3
Let h be (-12)/96 + 345/8. Suppose -3*j + 86 = 2*v - 8*j, -v - j = -h. Calculate the remainder when 171 is divided by v.
42
Let x be 1 + (1 - 2) + (4 - 6). Suppose -h = c - 21, 2*c - 3*h = -2*h + 36. Calculate the remainder when 40 is divided by x/c + 211/19.
7
Suppose -103 = -4*s + 3*y, -4*y + 1 = 2*s - 23. Suppose -420 = -s*w + w. Calculate the remainder when 51 is divided by w.
11
Let q(y) = 12*y**2 + 41*y - 162. Calculate the remainder when q(6) is divided by 196.
124
Let p(d) = 13*d - 10. Let g be p(-3). Let c = 65 + g. What is the remainder when c is divided by 10?
6
Let n = -33 + -57. Let s = n + 97. Let f = -1 + 7. What is the remainder when s is divided by f?
1
Let q = -109 - -160. Let t(k) = -3*k - 16. Let v be t(-20). Let g = q - v. What is the remainder when 20 is divided by g?
6
Let i(y) = -7*y - 28. Let j(w) = 13*w + 4. Let c be j(-1). Calculate the remainder when 209 is divided by i(c).
34
Let k(h) = -3*h - 74. Let z be k(40). Let r = -152 - z. What is the remainder when 81 is divided by r?
39
Suppose 246362*y - 1782 = 246353*y. What is the remainder when 1542 is divided by y?
156
Suppose -574 = -144*f + 130*f. Calculate the remainder when 407 is divided by f.
38
Let h(b) = -16*b - 1. Let s(y) = -y**3 - 8*y**2 + 524*y - 991. What is the remainder when h(-2) is divided by s(18)?
14
Let p(f) = f**3 + 76*f**2 - 29*f - 905. Calculate the remainder when p(-76) is divided by 260.
259
Calculate the remainder when 11 + 344 - (-6 + -2) is divided by 72.
