 What is the remainder when 491 is divided by c(v)?
16
Let d = 8246 - 8162. Let h(b) = 19*b**2 - 2*b - 1. What is the remainder when d is divided by h(-1)?
4
Suppose -4*d = -q + 64, 2*q + 32 = -d + 124. Suppose -8*t + 3*t = -30. Suppose 10 = -4*k + t*k. What is the remainder when q is divided by k?
3
Suppose -2*w = 2 - 6, 3*w = -4*l + 94. Let d(a) = -l*a**2 - 6*a**3 + 9*a**3 + 2 - 2*a**3 + 2*a. What is the remainder when d(22) is divided by 7?
4
Let m be 961*1 - (32 - 31). Suppose 7*q = -13*q + m. What is the remainder when 525 is divided by q?
45
Let p = 6786 - -1979. What is the remainder when p is divided by 64?
61
Let d be (14 + -7)/(-49) - (-1262)/14. Let q(f) = f**2 - 3*f + 9. Calculate the remainder when q(-7) is divided by (-78)/(-5) - (-3)/(d/12).
15
Let y = -709 + 493. What is the remainder when -1 - (-32 + 0) - -2 is divided by (-8)/6*y/16?
15
Suppose 4*t - 8 = -260. What is the remainder when t*(2/(-6))/(12/84) is divided by 51?
45
Suppose 2*m = l + 1760 + 200, -2*l + 2940 = 3*m. Suppose 0 = 6*x + x + m. Let q = x - -205. Calculate the remainder when q is divided by 17.
14
Suppose -4*k - 4*m = -6*m, m = 0. Suppose 3*h + 4*q - 529 = k, -3*h + 527 = 2*q + 3*q. Calculate the remainder when h is divided by ((-376)/20)/(848/80 + -11).
38
Let v = -8337 - -8546. Calculate the remainder when 1452 is divided by v.
198
Suppose 4*p + 24 = 0, 1044*p = 3*a + 1049*p - 1314. What is the remainder when 1373 is divided by a?
29
Let j be (168/(-120))/((-1)/(-10)*2). Let h(a) = -a**3 - 10*a**2 - 27*a - 25. Suppose 5*l - 17 + 2 = 0. What is the remainder when h(j) is divided by l?
2
Let u be (-2)/(-12) + 2/((-132)/(-121)). What is the remainder when 112 is divided by (-2)/u*(-16 - (-3 + 6))?
17
Let s be (-20)/35*(11/(-2) + 2). Suppose -4*a - 6 = 2*l - s, -5*l - 5*a - 5 = 0. Suppose -31*r + 36*r - 635 = l. What is the remainder when r is divided by 16?
15
Let j be (30/9)/(-3 - (-33)/9). Suppose 0 = 4*t - 12, j*t = a + 4*t - 103. Calculate the remainder when a is divided by (-72)/3*2/(-4).
10
Let p(c) = -4*c**2 - 25*c + 54. Let i(d) = -d**2 + 1. Let n(l) = -i(l) - p(l). What is the remainder when n(2) is divided by 11?
4
Suppose -351 = 5*f - 1096. Suppose f + 16 = 3*t. Suppose -4*n + 4*s + 66 = -n, -2*n = s - t. Calculate the remainder when n is divided by 7.
5
Let p(g) = g**2 - 5*g - 19. Suppose -114 + 42 = -8*x. Let w = -57 + 139. What is the remainder when w is divided by p(x)?
14
Suppose -47*p = -48*p + 23. What is the remainder when (2 + 510/(-35))*14/(-4) is divided by p?
21
Suppose 3966 = 19*u + 30*u - 32735. Calculate the remainder when u is divided by 16.
13
Let q(s) = 48*s**2 + 8*s - 53. Let f be q(4). Let z = 1291 - f. What is the remainder when z is divided by 91?
89
Let w be (-1)/4 + (-6)/8. Let h(x) be the third derivative of 3*x**5/20 + 37*x**2. Calculate the remainder when 41 is divided by h(w).
5
Suppose -h + 3*r - 16 = 0, -42*r = 7*h - 40*r + 43. Let d(q) = 5*q**2 + 5*q - 2. Let k be d(-5). Let v = k + h. What is the remainder when v is divided by 25?
16
Let u(z) = -z**3 + 103*z**2 - 18*z + 2324. Calculate the remainder when u(103) is divided by 141.
47
Let w = 13622 - 13582. Calculate the remainder when 8717 is divided by w.
37
Let k(m) = -38*m + 2598. Calculate the remainder when 1536 is divided by k(68).
10
Let r(z) = z**3 - 11*z**2 + 13*z - 24. Let j be r(10). Suppose 1111 = j*u + 5*u. Let t = u + -63. Calculate the remainder when t is divided by 7.
3
Suppose 5*l = 3*o + 2569 + 470, -l + 3*o = -627. What is the remainder when 2429 is divided by l?
17
Suppose 179*x - 162*x = 1003. Calculate the remainder when 5545 is divided by x.
58
Let a = 2172 + -2070. Let w = -3 + 22. Calculate the remainder when a is divided by w.
7
Calculate the remainder when 6730 is divided by (3 + 9)*-77*8/(-112).
64
Suppose -5*x - 3*k + 11 = -99, -x = 3*k - 34. Calculate the remainder when 4633 is divided by x.
16
What is the remainder when 1273 is divided by ((-45)/3)/(65/(-546))?
13
Let h(l) = -4*l - 132. Let s be h(-34). Suppose 4*c - 5*o - 11 = 21, o = -s. What is the remainder when 11 is divided by c?
2
Suppose 9294*k + 2827 = 9305*k. Calculate the remainder when k is divided by 35.
12
Suppose 5*f = 2*t - 141, 4*t + 0*f = -2*f + 318. What is the remainder when 3*-8*68/(-3) is divided by t?
76
Suppose 966*k - 1006*k + 9280 = 0. What is the remainder when k is divided by 39?
37
Suppose -166*t + 1514 = -139*t + 380. Let u = 6 + -5. What is the remainder when (-123)/(-1)*u - -1 is divided by t?
40
Let c(n) = -10*n**3 - 4*n - 7 + 20*n**3 + 10*n**2 - 2*n - 9*n**3. What is the remainder when c(-8) is divided by 59?
51
What is the remainder when (-99762)/(-27) - (234/810 + (-2)/5) is divided by 14?
13
Suppose -22*u + 8*u + 28594 = 15*u. What is the remainder when u is divided by 29?
0
Let j(y) = 7*y - 33. Let z = -74 - -82. Calculate the remainder when j(z) is divided by 4.
3
Suppose -14*q + 875 = 217. Let z = q - 25. What is the remainder when 42 is divided by z?
20
Suppose 0*t + 2*t + 3*c - 37 = 0, 83 = 5*t - 2*c. Calculate the remainder when ((9/(-5))/((-141)/(-940)))/(3/(-17)) is divided by t.
0
Suppose -298 - 920 = -58*z. Suppose j + z*j = 3388. Calculate the remainder when j is divided by 73.
8
Let o = 5359 + -5340. What is the remainder when 659 is divided by o?
13
Let x(a) = 36*a**2 + 114*a + 222. Calculate the remainder when x(-2) is divided by 116.
22
Suppose 4*x = -37 + 525. Suppose -x = -2*u - 82. What is the remainder when 73 is divided by u?
13
Let w be (2/(-3))/(2/96). Let g = -61 - w. Let m = g + 41. What is the remainder when 47 is divided by m?
11
Suppose -3*y + 66 = -4*v + 7*v, 2*v - y - 38 = 0. Suppose 6*h - 1014 = -v*h. What is the remainder when 121 is divided by h?
4
Let x(c) = c**3 - 42*c**2 + 355*c - 118. What is the remainder when 642 is divided by x(31)?
10
Suppose -16*s = -0 + 704. Let w = s + 68. Suppose -4*i = -3*p + 55, i - 6*i = 4*p - 32. Calculate the remainder when w is divided by p.
11
Suppose 2*x - 5*p + 1522 = 0, -4*x - 1952 = 5*p + 1152. Let a = -534 - x. Calculate the remainder when a is divided by 48.
45
Suppose 1197 = 34*x - 401. Let y = 34 - 62. Let b = y + x. Calculate the remainder when 74 is divided by b.
17
Suppose -252*m + 44*m = -11024. Calculate the remainder when 76 is divided by m.
23
Let m = 390 - 7. What is the remainder when m is divided by 47?
7
Suppose 42*v = 64*v - 836. Let a = 20 + -5. Suppose 0 = -2*m + 5 + a. Calculate the remainder when v is divided by m.
8
Let d(u) = -27 - 48*u - 7 - 6*u - 10. Let t be d(4). Calculate the remainder when ((-15)/((-375)/t))/(2/(-5)) is divided by 8.
2
What is the remainder when 173 is divided by (3 + (-45)/12)*(-14 + 6)?
5
Suppose -2*v + 159 = -75. Suppose -4*d = -9*d + f + 1511, f = -5*d + 1509. Let n = d - 278. What is the remainder when v is divided by n?
21
Suppose 3*q - 2*j + 324 - 647 = 0, 2*j = -8. What is the remainder when 395 is divided by q?
80
What is the remainder when (-16)/40 + (-234)/(-10) is divided by 41/3 + (53/(-3) - -17)?
10
Let u(k) = k**3 - 11*k**2 + 23*k. Calculate the remainder when u(10) is divided by 53.
24
Suppose 272*u = 277*u + 765. What is the remainder when (11 - 10)*1/((-1)/u) is divided by 11?
10
Let c be (-9)/(-12)*5/(30/32). Suppose -5*f + 9 = -8*f, -4*f = -c*s + 284. Calculate the remainder when s is divided by 39.
29
Suppose 7*j + 105 = 2*j - q, -q = -2*j - 35. Let v be j/25 - (-372)/(-10). Let u = -1 - v. What is the remainder when u is divided by 20?
17
Let r = 4433 + -4345. What is the remainder when r is divided by 78?
10
Let k = 40 - 8. Let z = 78 - k. What is the remainder when 137 is divided by z?
45
Let o(r) = 38*r + 50 - 22*r - 11*r. Let p be o(-8). Suppose -q = -p*q + 288. Calculate the remainder when q is divided by 12.
8
Let v = -69 + 74. Let w = 16 - v. Calculate the remainder when 63 is divided by w.
8
Let f = 2344 + -2226. Calculate the remainder when 4953 is divided by f.
115
Let c = -930 - -983. Suppose 0 = -2*m - m + 57. Let s = m + c. Calculate the remainder when s is divided by 15.
12
Let y = 863 - 167. What is the remainder when y is divided by 229?
9
Suppose -84*c + 67*c + 30005 = 0. What is the remainder when c is divided by 19?
17
Let g = -9250 + 9855. What is the remainder when g is divided by 149?
9