20*a**3 + a**2 - 10*a + 33. Calculate the remainder when l(5) is divided by 10.
8
Suppose 0 = 3*t - t - 146. Let w = -7 + t. Let r = 43 - 25. Calculate the remainder when w is divided by r.
12
Let p(y) = -y**3 - 23*y**2 + 41*y - 48. What is the remainder when 2121 is divided by p(-25)?
174
Let k(l) = 258*l**2 + 10*l - 27. What is the remainder when k(2) is divided by 75?
50
Let u(s) = -43 + 5 + 8 - 13*s**2 - 5*s**3 + 4*s**3 + 28*s. Let w be u(-15). Suppose -2*f + 76 - 68 = w. What is the remainder when 36 is divided by f?
0
Let z(l) = -l**3 - 30*l**2 + 22*l + 762. What is the remainder when 1535 is divided by z(-30)?
5
Suppose 0 = 3*w + 2*x - 35, -3*w - w - 4*x = -48. Let h(q) = q**2 + 7. Calculate the remainder when h(-8) is divided by w.
5
Let l = 45 + 18. Let t = -12 + 12. Let c(a) = -a**3 + a + 16. What is the remainder when l is divided by c(t)?
15
Let d = -3052 + 3085. Calculate the remainder when 587 is divided by d.
26
What is the remainder when 3 + (278 + 1 - (-82)/82) is divided by 113?
57
Suppose -7*j + 113 = 92. Suppose -3*h = -h - j*n - 15, -3*h + 33 = -n. Calculate the remainder when 14 is divided by h.
2
Let v(l) = l**3 + 41*l**2 + 2*l + 109. Let n = 281 - 175. Calculate the remainder when n is divided by v(-41).
25
Let l(t) = 45*t**3 - t**2 - t + 1. Let w be l(1). Let x = w - 21. Let m(y) = -606*y - 1774. Calculate the remainder when m(-3) is divided by x.
21
Suppose 0 = 3*l + 5*q - 355 - 469, 4*l = -5*q + 1097. Suppose 2*s - l = -t, 0 = -3*s + 8*s. Calculate the remainder when t is divided by 96.
81
Let l be 0 + (0 - 0 - 2). Calculate the remainder when 1/((l/(-37))/2) is divided by (-147)/(-9) + (-148)/111.
7
Suppose 66 = 5*l - 29. Suppose 24 = -13*j + l*j. Suppose -53 - 3 = -j*d. What is the remainder when 139 is divided by d?
13
Suppose 21467 = -26*m + 2435. Let p = -717 - m. Calculate the remainder when 55 is divided by p.
10
Suppose 102*p - 69456 = -4482. Calculate the remainder when 1914 is divided by p.
3
Let i(x) = -x + 9. Let v(s) = 1. Let q(w) = 3*i(w) + 6*v(w). Let m be q(9). Suppose m = -2*r, p + 2*r + 0 = 4. Calculate the remainder when 38 is divided by p.
8
Suppose 19*s + 23*s = -84. Let r(w) = w**3 + 2*w**2 - 4*w + 4. Calculate the remainder when r(3) is divided by -5 - (s + 2) - 2376/(-99).
18
Suppose 2*p = 6*p + 3*c - 23, 4*p + 2*c = 18. Suppose 100 = 2*g - 5*u, -p*u - 82 = 5*g - 274. Calculate the remainder when g is divided by 18.
4
Suppose 5 = 5*x, 2*h + 3*h - 3*x - 282 = 0. Suppose -11*d + 10*d = -h. Let k = 67 - d. Calculate the remainder when 77 is divided by k.
7
Suppose 4*a + 60 = 3*o + a, 0 = 3*o + 2*a - 55. Let l(n) = n**3 - 34*n**2 - 4476*n - 38. What is the remainder when l(-52) is divided by o?
18
Let n(z) = z**2 + 20*z - 17. Let y be n(-21). Suppose -15*i + 10*i = 5*l - 65, 0 = -y*l + 5*i + 79. What is the remainder when 137 is divided by l?
9
Suppose 38*b = 31*b + 1036. Suppose -g + b = 138. What is the remainder when 118 is divided by g?
8
Let h(o) = 69*o**3 + 3*o**2 - 7. What is the remainder when h(2) is divided by 114?
101
Suppose -242*q + 19686 - 538 = 531*q - 4042. Let w(n) = 15*n**2 - 3*n - 1. Calculate the remainder when w(-3) is divided by q.
23
Suppose -3 = w - 67. Suppose -1224 = -390*d + 318*d. Calculate the remainder when w is divided by d.
13
Let l be ((-4)/1)/((-72)/66 + 1). Suppose 3*i - 53 = 5*f, 5*i = 5*f + 31 + l. Suppose -3*r + 7*r = 160. What is the remainder when r is divided by i?
7
Let g(t) = 237*t**2 + 2*t - 1. Calculate the remainder when g(2) is divided by (-9295)/(-169) - (-2 + 2 + (-2)/2).
55
Let t(v) = 49*v + 1619. What is the remainder when t(-11) is divided by 107?
10
Let o be 538/14 + (-21)/49. Let v = -15 + o. Calculate the remainder when v is divided by 14.
9
Suppose 36 = -5*r + 131. Let y(t) = t**2 - 7*t - 130. Let m be y(15). What is the remainder when (70 + -59)/((-2)/m) is divided by r?
17
Let v(n) = 59*n - 8. Suppose 3*f = -f - 56. Let o(u) = -u**2 - 15*u - 12. Let k be o(f). What is the remainder when v(k) is divided by 28?
26
Let n = -158 + 181. Let b = -12 + 29. What is the remainder when n is divided by b?
6
Let l(u) = -u**3 + 6*u**2 + 4*u - 5. Let o(j) = 9*j - 1109. What is the remainder when o(131) is divided by l(6)?
13
Suppose -w + 3*a + 303 = 0, a = -w - 2*a + 279. Suppose d = -5, m + 3*m + d = w. What is the remainder when m is divided by 11?
8
Let f be (-24 - -23)*(-63 + 4/(-2)). Let r = 75 - f. Suppose 0 = -4*p - 31 + 147. Calculate the remainder when p is divided by r.
9
Let i(g) = 125*g + 169. What is the remainder when i(13) is divided by 47?
8
Let w(x) = x**2 - 4*x - 20. Let l(a) = -2*a. Let f be l(-1). Suppose -f*j = k + 2*j + 5, 0 = -4*j. Calculate the remainder when 98 is divided by w(k).
23
Let h = -69 + 98. Suppose -33*b = -h*b - 44. Let k(x) = -x**2 - 14*x - 6. What is the remainder when k(-8) is divided by b?
9
Let f(l) = -l**3 + 8*l**2 - 11*l + 12. Let m = -62 - -138. Let q = m - 70. Calculate the remainder when f(q) is divided by 7.
4
Let w(i) = i**2 + 30*i + 48. Let v be w(-29). What is the remainder when 333 is divided by v/(760/16)*120/1?
45
Let h = -13 - -19. Calculate the remainder when (8/(-9))/(1548/(-27864)) is divided by h.
4
Suppose 12 = 4*j - 0*j, 186 = 3*i - 4*j. Suppose 5*f = 2*f + i. Suppose -26 - f = -2*z. Calculate the remainder when 71 is divided by z.
23
Calculate the remainder when 1475 + 272/(-16) + -9 is divided by 75.
24
Suppose -100 = -5*p + u, 53*p = 55*p - 2*u - 40. What is the remainder when 6119 is divided by p?
19
Let w = 16 - -28. Suppose -1506*m = 3*u - 1507*m - 636, -432 = -2*u - 2*m. What is the remainder when u is divided by w?
37
Let b = -6433 - -6738. Calculate the remainder when b is divided by 43.
4
Let l = 74 + -70. Suppose 3*v - 254 = -l*g, -3*v - 5*g = -155 - 104. Calculate the remainder when v is divided by 16.
14
Let b(s) = -40*s + 817. What is the remainder when b(-27) is divided by 173?
167
Let a = -8190 - -16122. Calculate the remainder when a is divided by 54.
48
Let o(f) = f - 8*f - 10*f - 2*f**2. Let x be o(-6). Suppose 5*z - 10 = -p + z, -x = -2*p - 3*z. What is the remainder when p is divided by 8?
2
What is the remainder when 71 - -149 - (-3 + -1)/(0 + -2) is divided by 86?
46
Let n(x) be the second derivative of -3*x**5/20 - x**4/12 + x**3/6 + x**2 + 18*x. Calculate the remainder when n(-3) is divided by (19/(-1))/(1 - 2).
14
Suppose 135*h + 196*h = 35417. Let j be (-30)/18*(-2 - 1). Suppose -43 = -j*q + 47. Calculate the remainder when h is divided by q.
17
Suppose i + 2*p - 81 = 0, -18 = -i - 4*p + 55. Let z = 33 + -3. What is the remainder when i is divided by z?
29
Let h(y) = 2*y**3 + 33*y**2 + 21*y + 44. Calculate the remainder when h(-14) is divided by 53.
41
Let r(m) = 105*m**2 + 12*m - 1. Let z be (-3*(-8)/18)/(4/(-6)). Calculate the remainder when r(z) is divided by 33.
32
Let b be ((-5)/(-4))/((-16)/(-256)). Suppose -4*s = s - b. Suppose -8*j = -s - 68. Calculate the remainder when 15 is divided by j.
6
Suppose -391 = -3*k + 5*b, 4*k - 336 - 190 = 2*b. What is the remainder when k is divided by 105?
27
Let v(c) = 44*c - 57. Let g(r) = -306*r + 396. Let s(k) = 2*g(k) + 15*v(k). Calculate the remainder when s(5) is divided by 12.
9
Let w(m) = 2*m**2 - 5*m - 18. Let g(f) be the first derivative of f**4/4 + 5*f**3/3 - 7*f**2/2 - 6*f + 8. What is the remainder when g(-5) is divided by w(-3)?
14
Let r(w) = 10*w - 51. Suppose 6*s - s = 5*a + 55, 0 = -5*s + 3*a + 49. Calculate the remainder when r(s) is divided by 22.
7
Suppose -4*c = -229 + 749. Let s = c + 146. Calculate the remainder when 26 is divided by s.
10
Let c(o) = 2*o**2 - 11*o + 1. Let g(a) = -6*a**3 - a**2 + 3. Let n be g(2). Let j = -42 - n. What is the remainder when 151 is divided by c(j)?
19
Let c = -16963 - -17359. Calculate the remainder when c is divided by 80.
76
Suppose -57*x = -60*x + 9. Suppose 174 - 24 = x*v. Calculate the remainder when 146 is divided by v.
46
Let q = -1874 + 2009. Suppose 0 = -4*w - 5*a + 61 + 17, -w - 4*a + 25 = 0. What is the remainder when q is divided by w?
16
Let y(v) = -5*v**2 + 24*v - 3. Let t be y(7). What is the remainder when t/3*(2 + 2 - 7) is divided by 7?
3
Let k be (-4)/3*(-72)/32. Suppose k*v - 6 = 3*m, -2*v - 2 - 8 = 5*m. Suppose v = 7*a - 3*a - 60. Calculate the r