4
Let i(a) be the second derivative of -a**4/12 + 4*a**3/3 + 32*a**2 - 4*a - 1. What is the remainder when 30 is divided by i(12)?
14
Let a(h) = 2 + 47*h - 48*h - 2*h**2 + 12*h**3 + 5*h**3. Calculate the remainder when 29 is divided by a(1).
13
Let w = -508 - -530. Suppose -w*l + 567 = -13*l. Calculate the remainder when 195 is divided by l.
6
Let s(w) = 5*w + 19. Let f be s(-9). Suppose j + 98 = 4*l, -3*l + 3*j + 82 = -2*j. Calculate the remainder when (-23 - (2 + -3))/(4/f) is divided by l.
23
Suppose 298 = 5*c - 777. Suppose -3*l + 180 = -2*u - u, -4*l = u - c. Calculate the remainder when l is divided by 7.
6
Let t = 23 - 39. Let l(d) = 35*d - 8. Let h be l(t). Calculate the remainder when (-15)/(-25) + h/(-20) is divided by 8.
5
Suppose 6*k + d = 9*k - 28, -2*k - 5*d = 4. Let p be ((-55)/(-33))/((-2)/6). Let o(l) = l**2 - 3*l - 13. Calculate the remainder when o(p) is divided by k.
3
Suppose -1899*i = -1906*i + 784. What is the remainder when 437 is divided by i?
101
Suppose 0 = 52*m - 48*m + 100. Calculate the remainder when 34 is divided by (-98)/35*m/5.
6
Let m = -3329 + 3333. What is the remainder when 650 is divided by m?
2
Suppose -45 = -2*q + 45. Let m(d) = 3*d + 47. Let k(s) = 2*s**3 + 30*s**2 - 4*s - 73. Let y be k(-15). Calculate the remainder when q is divided by m(y).
5
Suppose 0 = 26*q - q - 441 - 934. Calculate the remainder when 8082 is divided by q.
52
Calculate the remainder when 148 is divided by 19 + 24*(-77)/(-44).
26
Calculate the remainder when 5642 is divided by (16/64*-4)/(34/(-11) - -3).
10
What is the remainder when 168 is divided by (-9)/(-2)*(84/(-210))/(9/(-255))?
15
Suppose 399 = 5*w + 3*i, -5*i + 354 = 5*w - 51. Let x = 7 + -16. Let k(u) = -u**2 - 12*u. What is the remainder when w is divided by k(x)?
24
Let b(q) = 765*q - 4488. Calculate the remainder when b(6) is divided by -7*5/((-15)/9).
18
Suppose 0 = 3*a - 0*a - 8*a. Suppose -2*d = -5*b, -b + a*d = 2*d - 12. Suppose -g + 61 = 3*n, 3*g - g = b. What is the remainder when 79 is divided by n?
19
Let x(d) = -3*d**2 - 70*d - 162. Suppose 0 = -2*y + 4*y - 8. Calculate the remainder when x(-19) is divided by (-598)/(-14) + y/14.
42
Suppose -3*d + 34*d - 13082 = 0. Suppose -3*s + 3 = -v + 97, 5*v - 3*s = d. Calculate the remainder when 239 is divided by v.
75
What is the remainder when (-5)/(-4) + 3175/20 is divided by 46?
22
Calculate the remainder when 562 is divided by 616/((-80)/(-10)) + -6.
65
Let b = -361 - -147. Let v = 240 + b. Calculate the remainder when 72 is divided by v.
20
Let n be -4*1*810/(-9). Suppose -n - 726 = -6*c. What is the remainder when c is divided by 63?
55
Suppose -71*f + 43*f - 148*f = -11616. What is the remainder when f is divided by 4?
2
Suppose -5*j + 1610 = 2*y, y - 8*j = -4*j + 818. Suppose y = 27*f - 24*f. Calculate the remainder when f is divided by 21.
18
Let h(t) = 3*t**2 - 12*t - 12. Suppose 0 = 7*m - 573 - 491. Calculate the remainder when m is divided by h(7).
50
Suppose 0 = -6*l + 2*l + 64. Suppose -21*k = -l*k - 680. Let v = -118 + k. Calculate the remainder when 141 is divided by v.
15
Let k = -124 + 129. Suppose -2*i - 1 - 17 = -k*m, -3*i - 9 = -3*m. Suppose 2*t - 22 = 4*c, 4*t + 3*c - 12 = -1. Calculate the remainder when t is divided by m.
1
Suppose -106 - 214 = -8*m. Let x(o) = 154*o**2 - 4*o - 2. Calculate the remainder when x(-1) is divided by m.
36
Let h(b) = -b**3 - 5*b**2 - 4*b - 11. Let r be h(-5). Let z be r/(-36) + (-50)/(-8). Calculate the remainder when 3 is divided by ((-8)/z)/(12/(-18)).
1
Let p(h) = -h**3 + 16*h**2 - h + 21. Let q be p(16). Suppose -780 = -q*k + 5*g, -2*g = 3*k + 2*k - 773. Calculate the remainder when k is divided by 53.
49
Calculate the remainder when 700 is divided by (72/(-96))/((-5)/260).
37
Suppose -3*k = -12, -6*w + 2*k = -7*w + 55. What is the remainder when 592 is divided by w?
28
Let q = -6579 + 6586. What is the remainder when 1104 is divided by q?
5
Suppose -5*l + 1944 = l. Suppose 0 = 9*u - l + 18. Suppose -3*f + 6*f + 5*z - 31 = 0, -5*z + 7 = f. Calculate the remainder when u is divided by f.
10
Let j(b) = -4*b - 36. Let o be j(-11). What is the remainder when 36 is divided by ((-30)/21)/(o/(-56))?
6
Let y = -56926 - -56929. Suppose 5*v + 2*j = 52, -2*v - 3*v + j = -64. Calculate the remainder when v is divided by y.
0
Suppose -34*g + 32*g = 0. Suppose -5*p = 25, 0 = 4*n - g*p - 2*p - 22. Calculate the remainder when 6 is divided by n.
0
Let j = 528 + -525. Suppose 5*h - 4*g - 48 = 167, -h - j*g + 24 = 0. Calculate the remainder when h is divided by 8.
7
Calculate the remainder when 152 is divided by (-917)/(-35) - -4 - 1/5.
2
Let o(i) = -i**3 + 11*i**2 - 10*i + 6. Suppose 0*z + 278 = 2*z. What is the remainder when z/5 + 6/30 is divided by o(10)?
4
Let x(w) = -734*w - 2772. What is the remainder when 595 is divided by x(-4)?
103
Let p = -997 + 1231. What is the remainder when p/507 - (-1918)/13 is divided by 33?
16
Let n(i) = 2*i**3 + 53 + 2*i**2 - 23 - 8*i**3 - 25 + 2*i. Calculate the remainder when n(-2) is divided by 34.
23
Suppose 2*f = 3*r + 861, -5*f + 36*r - 37*r + 2144 = 0. Calculate the remainder when 179 is divided by f/44 - 2/(-8).
9
Let p = -8884 - -8891. Calculate the remainder when 34962 is divided by p.
4
Let h(q) = 35*q. Let z = -13 - -16. Let r be h(z). Suppose l = -2*l + r. Calculate the remainder when 69 is divided by l.
34
Suppose 4431 = -45*u + 16896. Suppose 46*l - 42*l = 3*q + u, 3*q = 3*l - 207. Calculate the remainder when l is divided by 33.
4
Suppose 72 - 60 = -3*x. Let z = x + 2. What is the remainder when (4/z)/((-1)/50 - 0) is divided by 26?
22
Let l(h) = 19*h**2 + 2582*h - 196. What is the remainder when 531 is divided by l(-136)?
75
Suppose 61*d + 45*d = -77*d + 2379. Let m = -1 + 8. Suppose b - 7*t + 2*t + m = 0, 0 = 2*b - 3*t. Calculate the remainder when d is divided by b.
1
Let w(j) = 37*j - 4398. What is the remainder when w(133) is divided by 198?
127
Let w(g) = g**3 + 7*g**2 + 4*g + 1. Let x = 15 - 11. Suppose -x*q - 9 = 5*t, -t + 0*q + 5*q - 25 = 0. What is the remainder when w(t) is divided by 18?
13
Let q be (-6)/(-16)*6 - (-6)/(-24). What is the remainder when q/(-3) + (-879)/(-9) + 4 is divided by 42?
17
Let x = 110 - 125. Calculate the remainder when 158 is divided by (-4 - 560/(-15))*(-18)/x.
38
Suppose 29*j + 29*j = 24*j + 1258. Calculate the remainder when 0 - (44*1)/(-1) is divided by j.
7
Let b(a) = 7*a**2 + a - 3. Let k be b(-1). Suppose 462 = 3*q + k*g, 4*g = 18 - 6. What is the remainder when q is divided by 51?
49
Suppose 20 = 5*w - 10. Suppose -4*b = -3*n - 23, 4*n + 24 = w*b - 2*b. Let t(u) = u**2 + u + 20. Calculate the remainder when t(0) is divided by b.
0
Let n be (-19 - -7)/(-3*(-6)/(-6003)). Let k be (-1)/(10/(-4)) - n/30. Let v = k - -195. What is the remainder when v is divided by 13?
10
Suppose 2*s = 8, -23 = 5*d - 4*s + 18. Suppose -5*m - 80 = -3*l, 4*l = m - l + 16. Calculate the remainder when (d - 1) + 4 - m is divided by 5.
4
Suppose 3*p = 64*f - 62*f - 2422, -f = -2*p - 1215. Calculate the remainder when f is divided by 120.
119
Let y be -1*2 + (-2 - -2) + 7. What is the remainder when 78 is divided by 43*1 - (4/(-2) + y)?
38
Suppose -18*p - 5*a = -16*p - 2, 2*a = -4. Suppose 24 = -0*l + 2*l. Suppose 39 = -0*i + 3*i + 3*d, 3*d + l = 0. What is the remainder when i is divided by p?
5
Suppose 3*u = -r - 9, -2*u - 3*u + 3*r = 1. Let k = u - -42. Suppose 2*t - k = t. What is the remainder when t is divided by 12?
4
Suppose -2*j + 47 = 27. Let i(k) = k. Calculate the remainder when j is divided by i(4).
2
Suppose 5*k - k = 588. Suppose 11*r - 4*r = k. Calculate the remainder when r is divided by 16.
5
Suppose -37 = o + 5*m + 28, 12*m = 7*m - 75. Let p = -9 - -62. Calculate the remainder when p is divided by o.
3
Let q(s) = -22 - 145 + 25*s - 2*s. What is the remainder when 441 is divided by q(8)?
16
Let n(m) = 2*m**2 + 17*m + 40. Calculate the remainder when 354 is divided by n(-6).
4
Let l = 24860 + -24612. Calculate the remainder when l is divided by 123.
2
Let m(f) = 430*f - 1270. Let p = 159 - 84. What is the remainder when p is divided by m(3)?
15
Suppose 0 = 2*o - 4*l - 1382, -64*l = 3*o - 63*l - 2087. Suppose 49 = 4*s - o. Calculate the remainder when s is divided by 38.
34
Calculate the rem