2698. Calculate the remainder when f is divided by 54.
50
Let f(z) = 8*z**2 + 418*z + 139. Let k be f(-52). Let d be (2/4)/((-2)/(-16)). Suppose d*r - k = -r. Calculate the remainder when 25 is divided by r.
4
Let s(k) = -k**2 + 7*k - 5. What is the remainder when (8 - (1 - 1)) + 2*12/8 is divided by s(5)?
1
Suppose -4*q - 14*w + 80 = -10*w, -2 = -w. What is the remainder when -1*3/3 - -45 is divided by q?
8
Let m = -32 - -36. Let o(g) = -2*g**3 - 2*g**2 + g - 22. What is the remainder when o(-3) is divided by m?
3
Let b(j) = 2*j**2 + j - 4. Let z(k) = 13*k - 1602. Let x be z(0). What is the remainder when 92/115 + x/(-10) + 1 is divided by b(-3)?
8
Let q(l) = 49*l**2 + 2*l - 2. Let k be q(3). Suppose x + k = 53. What is the remainder when 64 is divided by -4*4/(-72) + x/(-18)?
20
Suppose 42*x = 16*x + 988. Suppose 5*r = x - 33. Let w(c) = -c - 2. Calculate the remainder when w(-4) is divided by r.
0
Let b be 36/(-2)*32/48 + -5. Let a(q) = q**3 + 18*q**2 + 13*q - 41. Calculate the remainder when a(b) is divided by 7.
6
What is the remainder when 0 - -1 - (-6 - 87) is divided by 4/((-200)/(-2425)) + (1/2)/1?
45
Suppose 3*k - k = d + 10, -18 = -4*k + d. Suppose -4*n + 5*r = -163, -r - 210 = -5*n + k*r. What is the remainder when 374 is divided by n?
45
Suppose o + 126*v = 131*v - 7, -2*v = 5*o - 73. What is the remainder when ((-15)/12)/((-6)/168) is divided by o?
9
Let o(q) = 375*q + 1927. Calculate the remainder when 168 is divided by o(-5).
12
Let r(p) = p**2 - 9*p - 20. Let b = 69 - 59. Let d be r(b). Calculate the remainder when 7/((-56)/660)*8/d is divided by 23.
20
Let u be ((-30)/4)/5*8/3. Suppose l + 5 = c, 2*l - c + 8 + 5 = 0. What is the remainder when ((-7)/u + -4)*l is divided by 4?
2
Let l(k) = 7*k**2 + 21*k + 135. Let z(d) = 10*d**2 + 21*d + 133. Let g(a) = 3*l(a) - 2*z(a). Calculate the remainder when 202 is divided by g(-14).
38
Let r(f) = -9*f - 230. Calculate the remainder when 203 is divided by r(-36).
15
Let j = 138 + -133. Suppose 15 = 5*g + j*t - 35, g - 16 = t. What is the remainder when 35 is divided by g?
9
Let r(l) = -l - 5 + 4*l**2 + 6*l + l**2 - 4*l**2. Let h be r(-3). Let q = h + 46. What is the remainder when q is divided by 13?
9
Suppose s - 132 = -129. Suppose -s*j + 177 = -141. Calculate the remainder when j is divided by 9.
7
Suppose 59*c - 67*c + u = -41130, 2*c - 10266 = 3*u. What is the remainder when c is divided by 44?
38
Suppose -9*h + 943 - 294 = -926. What is the remainder when 830 is divided by h?
130
Suppose 3*i = -17*m + 16*m + 4060, m - 4046 = 4*i. What is the remainder when m is divided by 1011?
10
Suppose 1255 = 7*n - 47. What is the remainder when n is divided by 87?
12
Suppose -13*u = -9*u - 288. Let o = u - 37. What is the remainder when 104 is divided by o?
34
Suppose -10 = -j - 4*j. Suppose 3*f - 4*k - 30 = 0, j*f - 4*k + 5*k = 9. Suppose f*q - 102 - 114 = 0. What is the remainder when q is divided by 8?
4
Suppose -1000 = -25*l + 1504 + 3021. Calculate the remainder when l is divided by (-20)/(-6)*42/5.
25
Let f = -3 + 10. Let q = 34 - f. Suppose 4*y + 5*b - 401 = 0, -5*y + 511*b = 516*b - 500. Calculate the remainder when y is divided by q.
18
Let b = -16799 - -19065. Calculate the remainder when b is divided by 41.
11
What is the remainder when 15/((-165)/(-8833)) - 18/3 is divided by 272?
253
Suppose 56 = -i + 2*p + 64, 4*i = -p + 14. Let t = -1 - -1. Suppose s - 5*g = 16, -s + g + t*g = -20. What is the remainder when s is divided by i?
1
What is the remainder when (-368)/(-1) + (89 - 81) is divided by 135?
106
Suppose -172 = -64*y + 4986 - 38. Calculate the remainder when 397 is divided by y.
77
Suppose -5*z - 80590 = -31*z - 6828. Calculate the remainder when z is divided by 18.
11
Let u be (80/(-10) - 22)*1/(-3). Let l(v) = 14*v - 36. Calculate the remainder when l(u) is divided by 19.
9
Let k = 482 - 476. Let g(m) = 14*m**2 - 26*m + 30. Let q(z) = 7*z**2 - 13*z + 15. Let x(i) = -3*g(i) + 7*q(i). What is the remainder when x(k) is divided by 48?
45
Let j be 15*((-42)/6)/(-21). Suppose -7*w + 8*w - j*l = 8, -6 = -3*l. Calculate the remainder when w is divided by 2.
0
Let o(s) = 33*s + 841. Calculate the remainder when o(-21) is divided by 76.
72
Let n = 895 + -829. Let a = -8 - -46. Calculate the remainder when a is divided by 0 - (-16)/(-12) - (-418)/n.
3
Let n(m) = 16*m + 6. Let k be n(4). Suppose 0 = -3*c + 5*c - k. Suppose 3*j = 19 + c. Calculate the remainder when 69 is divided by j.
15
Let u(s) = 5*s**3 - 55*s**2 + 5*s - 14. What is the remainder when 490 is divided by u(11)?
39
Calculate the remainder when 63 is divided by 172*234/792 - 5/(165/(-6)).
12
Let k = -109 + 31. Calculate the remainder when k*(-2)/((-12 + -4)/(-4)) is divided by 6.
3
Let v(z) = -z**3 + 5*z**2 + 2*z + 5. Suppose -16 = -2*w - 8, -4*b + w = -232. Suppose 0 = -24*y + b + 157. Calculate the remainder when v(4) is divided by y.
2
Calculate the remainder when (407 - (-21 + 9)) + -8 is divided by 18.
15
Suppose -23 = -d + 5*l, -7 - 2 = 2*d + l. Let k be 25 + 2 + (-8 - -12). Let n = k - d. What is the remainder when 64 is divided by n?
31
Suppose -5*r + 4*s = -996, 17*r = 14*r - 4*s + 604. What is the remainder when 539 is divided by r?
139
Let i(y) = y**3 - 37*y**2 - 110*y - 208. What is the remainder when i(40) is divided by 42?
24
Let z(l) = -11*l + 1. Suppose 351*i + 29829 = 203223. Calculate the remainder when i is divided by z(-4).
44
Suppose -4*d + 8 = 4*b, -21*d + 19*d + 3*b = 6. Let q(i) = 2*i**3 - i**2 + 4*i + 24. What is the remainder when 179 is divided by q(d)?
11
What is the remainder when 319 is divided by 2*10/8*(-4 - (-396)/30)?
20
Let a(j) = j**2 + 11*j + 18. Suppose -4*o - 6 = -5*o. Suppose 3*i + o*m = 3*m - 27, 12 = -2*i - 4*m. Calculate the remainder when 58 is divided by a(i).
28
Let p = 38 - 234. Let m = 279 + p. Let x(y) = 5*y**2 - y - 1. What is the remainder when m is divided by x(-2)?
20
Suppose -l = -6*a - 158 - 5873, 4*a + 12126 = 2*l. Calculate the remainder when l is divided by 26.
21
What is the remainder when 1237 is divided by (119/3)/((-231)/(-198))?
13
Suppose p - 127 = -69. Let a(y) = 2*y**3 - 2*y**2 - 4*y - 4. Let c be a(3). Suppose 9*m + c = 11*m. What is the remainder when p is divided by m?
8
Let c be ((-9)/(-6))/(9/(-4704)). Let y = c - -809. Calculate the remainder when 118 is divided by y.
18
Let r = 22987 - 22860. What is the remainder when 406 is divided by r?
25
Suppose 41*r = -5*s + 684, 0 = 3*s + 2*r - 151 - 169. Let h = 18 - -36. Calculate the remainder when s is divided by h.
50
Suppose 106*c = 414*c - 26488. Calculate the remainder when c is divided by 10*((-6)/(-15) + 2).
14
Let w(m) = -7*m - 12. Let z(r) = -r. Let l(a) = -w(a) + 6*z(a). Suppose 6*d - 23*d + 391 = 0. What is the remainder when d is divided by l(-6)?
5
Let d be (590/(-3))/((-2)/3) - 3. Suppose 118 = 5*w - d. Suppose 0 = 5*h + 2*x - 147, 0*h + w = 2*h - 5*x. What is the remainder when h is divided by 10?
1
Suppose -s - 5*d = -18, 96 - 42 = 3*s + d. What is the remainder when 9/((-81)/12)*-36 is divided by s?
12
Let r = -1898 + 3704. What is the remainder when r is divided by 13?
12
Suppose -21*g + 3 = -20*g. Suppose 44 = 4*m + 32. Calculate the remainder when g is divided by m.
0
Let t = 5706 - 5058. What is the remainder when t is divided by 58?
10
Let k(n) = 15*n**2 - 16*n - 30. Let x be k(-2). Suppose -2*l - 4*t + 96 = 0, -4*t = 5*l + x - 290. Calculate the remainder when 129 is divided by l.
41
Suppose 139*p - 250 = 134*p. Calculate the remainder when 249 is divided by p.
49
Let d = -34 + 529. Let l(r) = -31*r**2 + 3417*r - 699. Calculate the remainder when d is divided by l(110).
69
Suppose -388 = -3*h + 50. Let k(d) = -31*d - 692. What is the remainder when h is divided by k(-23)?
20
Suppose 0 = -5*z + 3*m + 852, 0 = -3*z + 2*m - 0*m + 510. What is the remainder when 349 is divided by z?
1
Let l(y) = y**2 - 25*y + 57. Let n be l(23). Suppose 16*f - n*f = 635. What is the remainder when f is divided by 12?
7
Let r = 7454 + -7268. What is the remainder when r is divided by 9?
6
Let c = -28985 - -29073. Calculate the remainder when 2544 is divided by c.
80
Let c(a) = -171*a + 2*a**3 + 3*a**2 + 92 + 0*a**3 + 173*a - 3*a**3. Calculate the remainder when c(0) is divided by 24.
20
Suppose 9 