 remainder when n(-2) is divided by 15?
7
Let z = 28 + 8. Let v = 37 + -23. Let g = z + v. Calculate the remainder when g is divided by 13.
11
Let w(c) = -c**2 - 18*c - 1. What is the remainder when 292 is divided by w(-11)?
64
Calculate the remainder when 25 is divided by (51/(-4))/((297/(-12))/33).
8
What is the remainder when ((-15)/(-60))/((-2)/(-8)) + 91 is divided by 54?
38
Suppose -9*s + 14*s + 260 = 0. Let q = s - -99. What is the remainder when q is divided by 13?
8
Suppose 3*w - 29 - 1 = 0. Suppose -w = -3*s + 11. Let u(b) = 5*b - 5. Calculate the remainder when u(6) is divided by s.
4
Suppose -300 = -21*l + l. Let i(j) = -193*j + 1. Let c be i(-1). Suppose 4*w = c + 38. What is the remainder when w is divided by l?
13
Suppose 2*l = -b - 0*b + 6, b = -5*l - 9. Suppose -g = -b - 14. What is the remainder when ((-2)/4)/((-2)/228) is divided by g?
27
Suppose 230 = 3*p - 5*g, -4*p - 8*g = -7*g - 322. What is the remainder when 1597 is divided by p?
77
Let c(y) = y**2 - 4. Let o = 22 - 12. Suppose o*f = 156 + 24. What is the remainder when f is divided by c(3)?
3
Let r = 7 + -4. Suppose 5*o = 287 + 253. Suppose -r*q = 2*q - a - 104, 5*q + 3*a - o = 0. Calculate the remainder when 61 is divided by q.
19
Let r be ((-2)/(-4))/(1/(-4)). Suppose -34*s + 1222 = 440. Calculate the remainder when (3/6)/(r/(-268)) is divided by s.
21
Suppose 11*v - 3*f + 123 = 12*v, 3*v - 3*f - 405 = 0. Calculate the remainder when v is divided by 61.
10
Let h = -1107 + 1146. What is the remainder when 69 is divided by h?
30
Calculate the remainder when 20 is divided by (102/(-15))/(3 - (-68)/(-20)).
3
Calculate the remainder when (-24)/4*(-14 + -2) is divided by 52.
44
Let k be 9 - 0 - 3/(-6)*-2. Suppose -k*c = -128 - 128. What is the remainder when c is divided by 9?
5
What is the remainder when (-363 + -20)*(-11 + 5 + -7) is divided by 15?
14
Let n = 97 + -64. Suppose -4*z - 6 + n = 3*x, x = 4*z + 9. What is the remainder when (-10)/45 + (-227)/(-9) is divided by x?
7
Suppose -4*s - t = -58 - 25, 0 = -4*s - 4*t + 80. Let n be 378/22 + 3/(99/(-6)). What is the remainder when s is divided by 16/(-24)*(-1 - n)?
9
Suppose 0 = 3*v + 2*v - 205. Calculate the remainder when (18/36)/(2/212) is divided by (-1)/(-3) - v/(-3).
11
Suppose -26 + 6 = -2*z. Let r(i) = 4*i - 7*i**2 + i**3 - i - z*i + 9. What is the remainder when r(8) is divided by 10?
7
Let t(x) = x + 21. Let a be t(-16). Suppose 11*p - 216 = a*p. Let j = 27 - 14. What is the remainder when p is divided by j?
10
Suppose -7*v = -6*v - 4. Suppose h + v*h - 42 = -t, -4*t + 73 = h. Calculate the remainder when t is divided by 7.
3
Let o be (99/(-44))/((-3)/40). Suppose -o = 7*q - 10*q. What is the remainder when 37 is divided by q?
7
Calculate the remainder when (3 + (-2)/(-6))*1728/90 is divided by 11.
9
Suppose 0 = -4*k - 0*k + 136. Let a(f) = -8*f**3 + 14*f**2 + 14*f + 1. What is the remainder when k is divided by a(-1)?
7
Let r(z) = z**3 - 5*z**2 - 2*z + 6. Let k be r(5). Calculate the remainder when 82 is divided by -4 - 46/k*4.
40
Let n(a) = 32*a**2 - 4*a - 2. Let l be n(2). Suppose 0 = -3*h + 5*h - l. What is the remainder when h is divided by 10?
9
Suppose 4*m - 11*x + 16*x = 43, 4*m - 25 = x. Let f(h) = -15*h + 1. Calculate the remainder when f(-1) is divided by m.
2
Let x = 1 + -10. Let a = -4 - x. Suppose a*u - 88 = u. What is the remainder when u is divided by 6?
4
Suppose -4*z + 355 = 5*y, 60*z = 55*z - 4*y + 455. Calculate the remainder when z is divided by 33/4 + 2/(-8).
7
Let f(k) = 5*k + 75. Calculate the remainder when f(11) is divided by 33.
31
Let t(x) = 2*x**2 - 3*x - 1. Suppose -2*f - f + 9 = 0. Let k(o) = 2*o**2 - 3*o. Calculate the remainder when t(-3) is divided by k(f).
8
Let f(t) = -4*t + 116. Let h(c) = -3*c - 6. Calculate the remainder when f(23) is divided by h(-5).
6
Suppose 0 = a + 19 - 22. Suppose -a*s + 58 = 4*q, 3 - 2 = q. Suppose 4*n - 88 = 3*n. Calculate the remainder when n is divided by s.
16
Let y be ((-591)/(-13))/3 + (-16)/104. Suppose -37 - y = -13*n. What is the remainder when 15 is divided by n?
3
Let a = -80 - -87. Let p(j) = j**3 - 3*j**2 - 6 - j**2 - 3*j + 6*j**2 + 2*j**2. Calculate the remainder when a is divided by p(-4).
1
Let f(y) = -y**3 - 15*y**2 + 12. Suppose 0 = 17*z - 7*z - 50. What is the remainder when f(-15) is divided by z?
2
Let q = -44 + 76. Suppose -189 = -5*f + 2*f. What is the remainder when f is divided by q?
31
Let d = -77 + 162. Suppose c = -y, -4*y + 5*c = 15 - 6. What is the remainder when d is divided by 4/(-2) + y + 32?
27
Let v be (1 + 20/(-3))*-3. Let j = v - 10. Suppose 0 = -k - x + j, -k = 4*x - 22. What is the remainder when 2 is divided by k?
0
Suppose 28 + 27 = h. Calculate the remainder when h is divided by 14.
13
Let h(p) = p**3 - 10*p**2 - p + 12. Let l be h(10). Let i be 1/(l/7)*-2. Let r(t) = -t - 6. Calculate the remainder when r(i) is divided by 1.
0
Suppose -13*l + 69*l = 168. What is the remainder when 15 is divided by l?
0
Let n(s) be the third derivative of s**6/120 + 3*s**5/20 - 5*s**4/8 - 5*s**3/6 - 19*s**2. Calculate the remainder when n(-10) is divided by 8.
5
Let h(o) = o**3 + 6*o**2 + 5*o - 4. Let p be h(-4). Calculate the remainder when 79 is divided by (20/p)/(1/8).
19
Let m = -26 - -48. Suppose -k + j = 2*j - 5, 2*j = -4*k + m. Calculate the remainder when k is divided by 4.
2
Let z = -3 + 23. Calculate the remainder when -2 + -1*(2 - (81 + -3)) is divided by z.
14
Suppose -2*s = -4, 3*k - s = 29 + 53. Suppose -4*p = 2*m - 70, 25 = 3*p - 5*m + m. Calculate the remainder when k is divided by p.
13
Suppose 3*o - 19 = -3*c + 8, 0 = 3*o - 4*c + 1. Suppose o + 2 = a. Calculate the remainder when (1 - -21) + (2 - (4 + 0)) is divided by a.
6
Let s(x) = 8*x + 1. Let y be s(11). Suppose 3*r - 73 = t, 3*t + 38 + y = 5*r. What is the remainder when r is divided by 3?
2
Suppose 4 = 2*o - 4*n, 3*n = 3*o + 2*o - 17. Let f(j) be the first derivative of 3*j**2/2 + 11*j - 19. Calculate the remainder when o is divided by f(-3).
0
Let o = 1932 + -1853. Calculate the remainder when 308 is divided by o.
71
Suppose o + 20 - 353 = 0. What is the remainder when o is divided by 21?
18
Let i = -188 - -220. Calculate the remainder when i is divided by 63/(-6)*4/(-6).
4
Suppose 4*x + 0*p - 4 = 2*p, -3*x - p = -8. Let w(k) = k**3 - 6*k**2 + 6*k + 3. What is the remainder when (x/4)/(1/30) is divided by w(5)?
7
Let a(w) = w**2 + 87. Let i be a(0). Let y = -40 + i. Calculate the remainder when y is divided by 8.
7
Suppose -48*b + 26*b = -506. Suppose -92 + 302 = 5*g. What is the remainder when g is divided by b?
19
Let r(k) = -5*k - 12. Let i be r(-1). Suppose -p + d = -2*d - 9, 2 = -2*p - 4*d. Let a = p - i. What is the remainder when 38 is divided by a?
8
Let t(x) = x - 1. Let z(q) be the second derivative of q**4/6 - 5*q**3/6 + 2*q**2 - q. Let n be z(2). What is the remainder when 2 is divided by t(n)?
0
Suppose 0 = -9*c + 111 + 267. What is the remainder when c is divided by 26?
16
Let d be (0 - -17)*1 - -2. Let l = d + -15. Let p(y) = y**2 + 4*y - 5. What is the remainder when p(l) is divided by 14?
13
Let i = -3 - -13. Suppose -2*k + 2*b + i = -12, -k = -5*b - 11. What is the remainder when 32 is divided by k?
10
Suppose 534*u = 523*u + 1496. Calculate the remainder when u is divided by 46.
44
Calculate the remainder when (-212)/((-39 - -40) + (-10)/6) is divided by 106.
0
Let p = 52 - 52. Suppose -4*d + 69 = 5*f + 2, -d + 2*f + 20 = p. Calculate the remainder when d is divided by 7.
4
Let k = -19645 - -19653. Let i = 7 + 26. What is the remainder when i is divided by k?
1
Suppose -5*j - 460 = -9*j. Suppose -j = -3*o - 22. Suppose -o = -6*i + 29. What is the remainder when 39 is divided by i?
9
Let q = -249 + 734. Let a(i) = -i**3 - i**2 + i - 10. Let r be a(-3). Suppose -q = -r*b - 0*b. Calculate the remainder when b is divided by 20.
17
Let t(q) be the first derivative of 13*q**2/2 - 93*q + 36. What is the remainder when 215 is divided by t(9)?
23
Let o = -11 + 17. Suppose 4*b - 52 = 2*h, 0 = 5*b + h - 81 + 9. Calculate the remainder when 321/o - (-1)/(-2) is divided by b.
11
Let t = -65 + 12. Let g = 89 + t. Calculate the remainder when 141 is divided by g.
33
Let n(b) = 10*b + 87. What is the remainder when n(0) is divided by 31?
