+ 1369. Calculate the remainder when 119 is divided by j.
11
Let n(s) = -2*s**3 + 32*s**2 + 2*s - 7. What is the remainder when 98 is divided by n(16)?
23
Let y(f) be the third derivative of f**4/8 + 9*f**3/2 - 9*f**2. Calculate the remainder when 10 is divided by y(-8).
1
Let v(b) = 0*b - b + 23 - 6. Calculate the remainder when v(6) is divided by 7.
4
Let h(f) = -2*f + 5. Suppose 0 = -g + 4*l + 4, 2*g - l = -3*g + 115. What is the remainder when g is divided by h(-4)?
11
Let c(p) = -38*p + 332. Calculate the remainder when 123 is divided by c(7).
57
Let i = -10 + 34. Suppose 0 = -47*s + 65*s. Suppose 9*g - 6*g - i = s. Calculate the remainder when g is divided by 2.
0
Let j = 48 - 49. What is the remainder when (0 + 2 - -119) + (-1 - j) is divided by 281/9 - (-4)/(-18)?
28
Let b = -12 - -14. Suppose 5 = b*z + 4*r - 7, 3*z + 3*r = 15. Suppose -a = -11 + z. Calculate the remainder when 20 is divided by a.
6
Suppose 0 = l - 6*k + 5*k - 6, -5*k - 22 = -3*l. Suppose 14 = -2*i - 0*i + 3*m, l = -i + 3*m. Let x = 1 - i. What is the remainder when 32 is divided by x?
10
Calculate the remainder when 16/28 + (-1362)/(-42) is divided by 28.
5
What is the remainder when 4/6 + (1 - 615/(-9)) is divided by 21?
7
Let y = -155 - -208. What is the remainder when 97 is divided by y?
44
Let d(m) = -60*m + 4. Let g be d(-6). Suppose -4*n - 5*v = g, 26 = -4*v + 10. Let l = -51 - n. What is the remainder when l is divided by 12?
11
Suppose 529 = 20*t - 71. Calculate the remainder when 90 is divided by t.
0
Let l = 12 + -6. What is the remainder when 38 - (5 + (-13 - -7)) is divided by l?
3
Let r(u) = -u**3 + 3*u**2 + 6*u - 9. What is the remainder when (-9)/((-9)/28) + -3 is divided by r(3)?
7
Suppose d = -d + 64. Let c = d - 23. What is the remainder when 35 is divided by c?
8
Suppose 8*a = 10*a - 3850. What is the remainder when a/42 + 5 - 1/(-6) is divided by 27?
24
Suppose 14*q + 721 = -175. Let v = q + 89. Suppose 5*k = 3*m + 229, -3*k - k + m + 186 = 0. What is the remainder when k is divided by v?
22
Let b = -6 - -16. What is the remainder when 5 + -4 + b + -1 is divided by 3?
1
Suppose -3*f + 57 - 15 = 0. Let a be 0 - (2 - 4) - -1. Suppose 2*x + 26 = a*x. Calculate the remainder when x is divided by f.
12
Suppose -r + 5*r - 1076 = 0. Suppose 42*n + 6102 = 155*n. Calculate the remainder when r is divided by n.
53
Let r(s) = s**3 + 3*s**2 + s + 3. Let j be r(-3). Let h = 12 - j. Suppose 2*n = -3*k + 47, -87 = -6*n + 2*n + k. Calculate the remainder when n is divided by h.
10
Suppose 3*x + 78 + 21 = 3*a, 2*a + 4*x = 42. Calculate the remainder when 2174 is divided by a.
28
Let p(w) be the second derivative of w**5/20 - 2*w**4/3 + 11*w**3/6 - 5*w**2 - 2*w. What is the remainder when 87 is divided by p(7)?
15
Let g(d) = d**3 - 22*d**2 + 42*d + 23. Calculate the remainder when 376 is divided by g(20).
61
Let h = 803 - 492. Let y = h + -182. Calculate the remainder when y is divided by 44.
41
Let o(s) = s**3 - 2*s**2 + 2*s + 5. Let b be o(5). Suppose 3*k = 8*k - b. Calculate the remainder when 34 is divided by 166/18 - 4/k.
7
Suppose -4*p + 5*x - 28 = x, -5*x - 37 = 3*p. Calculate the remainder when 139 is divided by 42/((27/(-2))/p).
27
Suppose -1 = 3*d - 4*u - 0, 0 = 4*u - 16. Suppose 4*o - 184 = 4*l, 0 = -d*l + o - 55 - 191. Let g = -4 - l. Calculate the remainder when g is divided by 12.
10
Let t(u) = 20*u - 4. Suppose 0 = -0*r + 2*r - 2. What is the remainder when t(r) is divided by 6?
4
Let a be -3*(4/6)/(-2)*-1. Calculate the remainder when 120 is divided by (-41 - 0)/(1/a).
38
Let v(l) = -4*l**3 - 5*l**2 - 4*l. Let w be v(-3). Let u = w - 126. Let k = u - -106. What is the remainder when k is divided by 14?
13
Let a(g) = g**3 + 9*g**2 - 10*g - 1. Let o be a(-10). Let q be 20/(-8)*(-2)/o. Let v = q + 14. What is the remainder when v is divided by 6?
3
Suppose -3*r + 21 = 12. Suppose -3*i = 5*o - 115, 3*o + i + r*i - 69 = 0. Calculate the remainder when o is divided by 13.
10
Suppose 48*b = 66*b - 576. Let u = 2 - 0. What is the remainder when b is divided by 66/(-4)*u/(-3)?
10
Suppose -4*z - x - 3*x = -92, -x = -3. What is the remainder when 179 is divided by z?
19
Let o(s) = -12*s + 11. Let a be o(-4). Let m = a - 30. Calculate the remainder when 111 is divided by m.
24
Let l(g) = -g + 56. Let h(y) = -57. Let s(d) = -3*h(d) - 2*l(d). Calculate the remainder when 229 is divided by s(-24).
9
Suppose -4*o + 14 + 6 = 0. Suppose 5*p = 5*a + 2*p + 3, -4 = -3*a - 4*p. Suppose a = o*f - 4*f - 6. What is the remainder when 16 is divided by f?
4
Let h be ((-2)/(-4))/(2/12). Let s = -27 - -37. Calculate the remainder when 14 is divided by (-12)/(-5)*s/h.
6
Suppose 0*d + 2*d - 26 = 0. Let w(o) = o**3 - 19*o**2 + 62*o + 1. What is the remainder when d is divided by w(4)?
4
Suppose -112*t + b - 59 = -113*t, -5*t = -3*b - 303. Calculate the remainder when 212 is divided by t.
32
Let y(w) = 4*w**3 + 2*w + 1. Let f be y(-1). Let k = -11 - f. Let r(z) = z**3 + 7*z**2 - 7*z - 4. Calculate the remainder when r(k) is divided by 19.
17
Let o = 2238 - 2230. Calculate the remainder when 31 is divided by o.
7
Calculate the remainder when 148 is divided by 202/(-909) - 1271/(-9).
7
Let c = 25 - 14. What is the remainder when 328 is divided by c?
9
Suppose -v = -4*v + 66. Let o = 25 - v. Calculate the remainder when (10/o)/(4/12) is divided by 3.
1
Let r(t) = t**2 - 7. Let c be r(-5). Let z = 22 + c. Calculate the remainder when z is divided by ((-1)/12*3)/((-3)/132).
7
Let t = -10 - -13. Let f be 3/(t/(-26)) + -4. Let q = f + 43. What is the remainder when 37 is divided by q?
11
Suppose 14*t - 2711 = 131. Calculate the remainder when t is divided by 102.
101
Let s = -584 - -650. Suppose -4*m = -2*q + 22, -3*m + 80 = 4*q + m. Calculate the remainder when s is divided by q.
15
What is the remainder when 1537 is divided by 4 + 1 + -7 + 16?
11
Suppose 7 = m + 9. What is the remainder when (m - -16) + (-3)/(-3) is divided by 6?
3
Let j(v) = v**3 + 9*v**2 + 8*v + 2. What is the remainder when 7 is divided by j(-8)?
1
Let c = 91 + -63. What is the remainder when 78 is divided by c?
22
Let f(k) = 2*k + 4. Let b(t) = -2*t - 5. Let q(j) = 5*b(j) + 4*f(j). What is the remainder when 34 is divided by q(-9)?
7
Let m be 168*(0 + 2/(-3)). Let p = m - -221. Calculate the remainder when p is divided by 10.
9
Let p(h) = -h**3 + 41*h**2 - 75*h + 182. What is the remainder when p(39) is divided by 290?
9
Let c(s) = -s**3 - 7*s**2 + 5*s + 13. Let f(y) = -y - 1. Let a(p) = c(p) + 5*f(p). Calculate the remainder when 31 is divided by a(-7).
7
Suppose 10 = -10*b + 15*b. Let m = 2 - 0. Suppose m*l - 5 = 5. Calculate the remainder when l is divided by b.
1
Let m = 341 + -223. Suppose -4*p + 26 + 54 = 0. Calculate the remainder when m is divided by p.
18
Let p(y) = y + 3. Let h(w) = -1. Let k(o) = -4*h(o) + 2*p(o). What is the remainder when k(14) is divided by 20?
18
Let w be 20/4*(2 + -5)/3. Suppose 3*c = m - 46, 5*c = 3*m - 57 - 17. What is the remainder when w/((-20)/c) - -44 is divided by 14?
12
Suppose 4*p - f - 100 = 211, 0 = 4*p + 3*f - 331. Let i = -45 + p. What is the remainder when 67 is divided by i?
33
Let f = -106 - -78. Let b = 140 + f. What is the remainder when b is divided by 38?
36
Let v = 88 - 67. What is the remainder when 188 is divided by v?
20
Let o(j) = 29*j**3 - j**2. Let b(i) = -i**3 - 5*i**2 - 3*i - 36. Calculate the remainder when b(-7) is divided by o(1).
27
Suppose b - 3*w + 21 = 82, 183 = 3*b - 3*w. Let k = b + -38. What is the remainder when 53 is divided by k?
7
Suppose 122 = 2*b - 200. What is the remainder when b is divided by 45?
26
Let y(c) = c**3 - 10*c**2 - 9*c + 17. Suppose 0 = -23*g + 19*g + 44. What is the remainder when y(g) is divided by 21?
18
Calculate the remainder when 1538 is divided by ((-57)/(-6))/((-40)/(-240)).
56
Let t be (12/16)/((-1)/192). Let z = -72 - t. Calculate the remainder when z is divided by 13.
7
Let f = -451 + 461. What is the remainder when ((-3)/(-2))/((-2)/(-52)) is divided by f?
9
Suppose -5*f = -6*f - 12. Calculate the remainder when (0 + (-1)/(-3)*-1)*f is divided by 4.
0
Let c(z) = z**2 - z + 7. Calculate the remainder when c(-5) is divided by (-139)/(-14) - 99/(-1386).
7
Suppose -5*i = -i - 3*n - 700, 0 = -3*i + 3*n + 525. Supp