4
Suppose -45 = 6*l + 57. Let f = 3 - l. Let k = 69 + f. What is the remainder when k is divided by 46?
43
Let n(y) = -31*y - 383. What is the remainder when 406 is divided by n(-14)?
49
Suppose -4*r + 11*r + 35 = 0. What is the remainder when 121 is divided by r/(-5)*(85 + -1)/2?
37
Let l(d) be the first derivative of 8*d**2 + 29*d + 66. Calculate the remainder when l(5) is divided by 50.
9
Suppose -3*l + 4*s = -981, 3*l - 4*s + 9*s - 981 = 0. Suppose -331*t + 196 = -l*t. What is the remainder when 185 is divided by t?
38
Let s = 2015 - 1296. Calculate the remainder when s is divided by 8.
7
Let z(g) = -2*g**2 - 99*g + 96. What is the remainder when z(-50) is divided by (12/(-14))/((-27)/504)?
14
Let y = -10218 + 10441. What is the remainder when y is divided by 57?
52
Suppose 4*d + 7*h - 11*h - 60 = 0, h - 15 = -d. Suppose 2*r - 5*q - 552 = -r, q + 540 = 3*r. Calculate the remainder when r is divided by d.
14
Let f = 29638 + -29080. Calculate the remainder when f is divided by 29.
7
Suppose 11*j - 256 = 3*j. Suppose -2*t - 50 = -492. Calculate the remainder when t is divided by j.
29
Calculate the remainder when 344 is divided by (13 + -20 + (-2 - (-56)/6))*84.
8
Let k(j) be the first derivative of j**3/3 - 3*j**2 - j + 7. Calculate the remainder when k(-4) is divided by 501/36 - (-4)/48.
11
Let k(h) = -4*h**2 - 13*h - 8. Let p be k(-5). Let q = 32 + p. What is the remainder when q*(0/3 - 11) + -3 is divided by 24?
22
Let r(g) = -g**3 + 64*g**2 - 434*g + 2027. Suppose 3*f = 4*a - 20, 0*a + 5*f = -a + 28. Calculate the remainder when r(57) is divided by a.
0
Let f(s) = -6*s - 109. What is the remainder when 249 is divided by f(-19)?
4
Let p = -45 - -315. Calculate the remainder when p is divided by 120.
30
Let h(u) = 2*u**3 - 9*u**2 + 29*u - 129. Calculate the remainder when 1434 is divided by h(5).
40
Let o(z) = 22*z - 53. Let f be o(-10). Let w = 324 + f. What is the remainder when 100 is divided by w?
49
Let o(w) = -43*w + 1. Let h be o(-2). Let a = h - 75. Let d = 37 - a. Calculate the remainder when 95 is divided by d.
20
Suppose -7*a + 10*a = 12*a - 81. Calculate the remainder when 149 is divided by a.
5
Suppose 13 = -3*c - 92. Calculate the remainder when 92 is divided by (429/60 - 21/c)*4.
30
Suppose -3*m + 15633 = 5*y, -975*m + 972*m = y - 15633. Calculate the remainder when m is divided by 33.
30
Let y(m) = m**3 + 20*m**2 - m + 7. Suppose -4*u - a + 269 = 0, -98 = 5*u + 2*a - 432. What is the remainder when u is divided by y(-20)?
14
Calculate the remainder when 32 is divided by (7/(28/(-3)))/((-7)/168).
14
Let o(y) = -9*y - 20. Let n = -150 + 31. Let r = -103 - n. Calculate the remainder when r is divided by o(-3).
2
Let k(p) = -2*p + 57. Suppose 0 = -50*c + 52*c - 38. What is the remainder when k(c) is divided by 4?
3
What is the remainder when 2272 + 10/45*63 is divided by 88?
86
Let j(l) = l**2 + 52*l + 640. Calculate the remainder when 792 is divided by j(-34).
8
Let v(o) = 15*o**3 + o**2 - 2*o. Calculate the remainder when 1234 is divided by v(3).
10
Let j(o) = o**2 - 25*o + 97. Let v be j(25). Suppose -3*z + 406 = -2*r + 122, 0 = -z + 3*r + v. Calculate the remainder when z is divided by 34.
26
Suppose 6 = 3*a + l, 3*a = -2*a + 3*l + 10. Let p(q) = 4*q**a - 6*q**2 - 5*q**2 + 11*q - 9 + q**3. Calculate the remainder when p(6) is divided by 14.
7
Suppose -14*v + 22800 = 71*v - 5*v. What is the remainder when 1693 is divided by v?
268
Let g be 2/(85/(-10) - -8). Let a = g + 78. What is the remainder when a is divided by 25?
24
What is the remainder when 375 is divided by (-13)/(65/(-340)) - 14?
51
Let h(w) = 326*w**3 - 3*w**2 + w + 1. Let n be h(1). Suppose -39*v + 14*v = -n. Suppose -4*x + 29 - 9 = 0. What is the remainder when v is divided by x?
3
Suppose 0 = -50*i + 33*i - 62*i + 23542. What is the remainder when 1519 is divided by i?
29
Suppose 0 = i + 4*g + 1, 0*i + 2 = -2*i + 3*g. Let k = -116 - -173. Calculate the remainder when k is divided by (-1 - i - 1) + 17 + -4.
9
Let x = 33 - -2. Let r = 38 - x. Suppose r*h + 42 = 2*w - 126, -3*h = w - 93. What is the remainder when w is divided by 18?
15
Let d be -189 + (4 - 32/4). Let j = d - -275. Let x = j + -1. What is the remainder when x is divided by 29?
23
What is the remainder when 2630028*3/252 + (2 - 13/7) is divided by 9?
8
Let y = -47 - 32. Let v = 110 + y. Calculate the remainder when v is divided by 11.
9
Suppose 3*p = -3*p - 9822. Let i = p - -2515. What is the remainder when 38 is divided by i/38 - 6/57?
15
What is the remainder when 395 is divided by (5*(-7)/105)/((-2)/84)?
3
Let p(s) = 4 + 7*s + 1248*s**2 - 1217*s**2 + s. What is the remainder when p(-1) is divided by 16?
11
Let h = -10266 - -10301. What is the remainder when 476 is divided by h?
21
Suppose 0*n - 147 = -3*n. Let a be (9/((-243)/(-63)))/(2/6). Suppose h = 6*k - a*k + 245, -248 = -k - 4*h. Calculate the remainder when k is divided by n.
48
Suppose -9*c = -4*c - 22034 + 1649. What is the remainder when c is divided by 6?
3
Let l = -52 + 63. Suppose 15*z = l*z + 160. Suppose -43*c = -z*c - 42. What is the remainder when 20 is divided by c?
6
Let s = 4 - -11. Let h = 86 - 82. Suppose -h*c + 10*c - 12 = 0. What is the remainder when s is divided by c?
1
Let y be (3 - 5 - -2) + 9. Let s be (y/12)/(9/72). Suppose -3*u = 3*x - 3, -2*x + s + 0 = 4*u. What is the remainder when 3 is divided by u?
1
Suppose 5503 = 111*g - 36788. Calculate the remainder when g is divided by 15.
6
Let u(r) = 4*r**2 - 4*r + 10. Let h = 9 + -5. Let o be -1*(-2)/(-2*h/(-20)). Calculate the remainder when u(o) is divided by 31.
28
What is the remainder when 190 is divided by ((-8)/14)/(276/(-45402))?
2
What is the remainder when 81 is divided by (-9 + 16)/(2/(7 + -3))?
11
Let t = -3 + 33. Let h = 42 + t. Let i(d) = d**2 + 4*d + 7. What is the remainder when h is divided by i(-6)?
15
Calculate the remainder when ((-1)/(12/140))/(88/(-5016)) is divided by 52.
41
Let m = -319 + 1033. Suppose 20*a = 26*a - m. Calculate the remainder when a is divided by 61.
58
Let m(z) = -7*z + 7. Let d be m(6). Let a = -119 - -139. Calculate the remainder when a is divided by (-5)/d + (-76)/(-7).
9
Let s = -11854 - -13458. What is the remainder when s is divided by 106?
14
Suppose 196 = -7*k - 406. Let q = 26 + k. Let w = q + 73. Calculate the remainder when 63 is divided by w.
11
Let d(o) = o**2 - o + 28. Let r = -68 + 80. Let t be d(r). Suppose 4*p - t = -4*k, 0 = -2*k + p + 13 + 52. Calculate the remainder when 65 is divided by k.
30
What is the remainder when (-12424)/(-3)*(-60)/(-40) is divided by 26?
24
Let m(a) be the first derivative of -36*a + 24*a + 44 - 2*a**2 + 5*a**3 - 4*a**3. Calculate the remainder when 50 is divided by m(4).
10
Suppose 41*h = 129*h - 22*h - 272976. What is the remainder when h is divided by 9?
5
Suppose 65 = 2*d + 4*b - 51, 4*d + 2*b = 208. Let n(u) = -u**2 + 54*u - 165. What is the remainder when n(d) is divided by 21?
14
Let y be (-23)/4 + (-321)/(-428). Let a(i) = -i**2 + 2*i + 41. Calculate the remainder when 292 is divided by a(y).
4
Suppose -394 + 417 = k + 3*g, 9 = k + 5*g. What is the remainder when 2504 is divided by k?
40
Let x(n) = -n**3 - n**2 + 4*n. Let z be x(3). Let a(f) = 171*f + 511. Let b be a(-3). What is the remainder when 76 is divided by 0 - (z + b + 0)?
24
Let m(f) = f**2 - 36*f - 39. Let s be m(37). Let d(n) = -3*n**3 + n**2 - 4*n - 7. Calculate the remainder when 80 is divided by d(s).
22
Let g be (3/2)/(1 - 49/28). Let y be (-2)/3*3/g. What is the remainder when 205 is divided by 16/1*(-1 + 1 + y)?
13
Suppose -21 - 30 = 3*m. Let h(v) = -2*v**3 + 3*v**2 + 2*v + 1. Let d be h(-2). Let k = m + d. What is the remainder when 45 is divided by k?
5
Suppose 522*t - 4*g = 523*t - 80, g = -t + 89. What is the remainder when 277 is divided by t?
1
Let j(m) = 3*m**2 - 14*m + 20. Let y be j(8). Suppose 5*c + y = -4*g + 420, -3*c = 0. Suppose z - 70 = -4*z. Calculate the remainder when g is divided by z.
10
Let d(t) = -4*t + 32. Suppose 3*a - 33 = 3*l, -a - 3*a + 17 = -l. Let n(r) = -r - 5. Let x be n(l). What is the remainder when d(x) is divided by 5?
1
Suppose 0 = -24*q - 11194 - 134. Let n = q - -506. Calculate the remainder when 166 is divided by n.
30
Suppose 60 = 17*p - 12*p. Let r be 4 + 188/