n + 84. What is the remainder when a is divided by 6?
5
Let b(m) = m**3 + 3*m**2 + 2*m - 1. Let l be b(-3). Let c = 4 - l. Suppose n = -n + 82. Calculate the remainder when n is divided by c.
8
Let w(u) = u**3 - 7*u**2 - 5*u - 2. Let n = 56 + -33. Suppose 4*p - n = 1. What is the remainder when w(8) is divided by p?
4
Suppose -g + 5*k = -3*g + 47, 2*g + 3*k = 41. Calculate the remainder when 73 is divided by g.
9
Let z = 11 - -3. Let i be ((-28)/(-10) + -2)/((-2)/(-530)). What is the remainder when (28/8 + -4)/((-2)/i) is divided by z?
11
Let r(j) = -j**2 - 18*j - 23. Calculate the remainder when 429 is divided by r(-11).
51
Suppose 0 = 3*d - 3*f - 113 - 13, 2*f = -3*d + 141. Suppose 0 = s + 5*j - 36, 0 = -5*s - 0*j - 5*j + 100. What is the remainder when d is divided by s?
13
Suppose -6*o + 796 = -2*o - f, 0 = 2*o + 3*f - 384. Calculate the remainder when o is divided by 19.
8
Let q = 32 - 29. Suppose -4*u + 754 = -r + q*r, -3 = 3*r. Calculate the remainder when u is divided by 48.
45
Suppose -5*j = 3*h + h - 15, -j = 5*h - 3. Suppose 2*u + 6 = 0, 3*u - 5*u + 204 = j*c. What is the remainder when c is divided by 12?
10
Suppose -407 - 8428 = -99*r + 966. Suppose 4*m - 41 = 27. What is the remainder when r is divided by m?
14
Suppose -36 - 6 = -2*j. Suppose t + 98 + 23 = 0. Let u = -19 - t. Calculate the remainder when u is divided by j.
18
Suppose -21 = 7*k - 42. Calculate the remainder when 26 is divided by k.
2
Let i(g) = 11*g**2 + 23*g. Let w(k) = 5*k**2 + 11*k. Let b(d) = 6*i(d) - 13*w(d). Let f = -51 + 78. Calculate the remainder when f is divided by b(7).
13
Suppose 2*s = -p + 508, s - 2*s + 236 = -4*p. Calculate the remainder when s is divided by 52.
44
Suppose 6*b = -3*b + 936. Let q = b + -91. Calculate the remainder when 116 is divided by q.
12
Calculate the remainder when 82/(-697) - (-4881)/17 is divided by 29.
26
Let f = 15 - 15. Suppose 4*n + 30 - 6 = f. Let w(z) = -2*z + 14. What is the remainder when 76 is divided by w(n)?
24
Suppose -2*g + 6 = -0*g + t, 0 = -g - t + 2. Suppose 0 = g*q - 12 - 28. What is the remainder when 46 is divided by q?
6
Let v(i) = i**3 - 4*i + 3. Calculate the remainder when v(3) is divided by -3*(-2 - 14/(-6))*-7.
4
Suppose -3 - 263 = -7*d. Calculate the remainder when 58 is divided by d.
20
Suppose -33*i = 33*i - 6996. Calculate the remainder when i is divided by 26.
2
Suppose 0 = 5*n - 21 + 6, 5*n = -4*j + 223. Let h be (-1 - -2)*12 + 1. Calculate the remainder when 27 is divided by h/j + 59/4.
12
Let g(k) = 7*k**2 + 20*k + 43. What is the remainder when g(-5) is divided by 20?
18
Suppose 2*t = 17 - 3. Let h(q) = -q + 13. Calculate the remainder when t is divided by h(9).
3
Let u be 1/4 - 94/(-8). Let z be (-32 - -2)*(-8)/u. Suppose -f + 0*f + 5*i + 12 = 0, -z = -5*f + 5*i. What is the remainder when 6 is divided by f?
0
Suppose 16 = 2*s - q, -36 = -4*s + 4*q - q. Let c(x) = x**2 - 5*x. Let o = 8 - -2. Calculate the remainder when o is divided by c(s).
4
Suppose 0 = -3*h + 3, 4*h - 3 - 196 = 5*m. Let s = m + 92. Calculate the remainder when s is divided by 14.
11
Let j(m) = 3*m**2 - 15*m - 94. What is the remainder when j(10) is divided by 6?
2
Let k(l) = l + 2. Let n be k(-2). Suppose -3*d = 4*q - 3*q - 12, -d = 4*q - 4. Suppose -d = -x - n*x. Calculate the remainder when x is divided by 3.
1
Let f = 901 + 1291. Calculate the remainder when f is divided by 17.
16
Let j(b) be the third derivative of -1/24*b**4 + 0 - 1/60*b**5 + 23/120*b**6 + 0*b - 8*b**2 + 1/6*b**3. Calculate the remainder when j(1) is divided by 8.
6
Suppose 0 = -46*y + 31*y + 120. What is the remainder when 68 is divided by y?
4
Let v(c) = -c**2 - 3*c + 2. Let s be v(-2). Suppose 32 + 12 = s*w. Calculate the remainder when w is divided by (-45)/((-15)/3) + -2.
4
Suppose -19 = -2*d + 5*y, -d - 6*y + 12 = -9*y. What is the remainder when (-19)/(3/18*d) is divided by 8?
6
Let d = 264 + -234. Calculate the remainder when 39 is divided by d.
9
Suppose 0 = -4*r - 8, -4*w = -w + 2*r - 107. Let j = 7 - -13. Let n = 33 - j. What is the remainder when w is divided by n?
11
Let r be 436/10*-1*(-1 + -4). Suppose -204 = -3*i - 5*c + r, 2*c - 428 = -3*i. What is the remainder when i is divided by 29?
28
Let u(v) = v**2 + 3*v - 2. Let z = -2 - -6. Suppose -z*h = 2*h - 18. What is the remainder when h is divided by u(-4)?
1
Let h(r) = 48*r**3 - 3*r**2 + 3*r - 1. Let m be h(1). Suppose m = -6*q + 155. What is the remainder when q is divided by 7?
4
Let t(c) = -4*c - 10. Let p = -30 + 32. Calculate the remainder when t(-4) is divided by p.
0
Let d = -4 + 63. What is the remainder when d is divided by 15?
14
Let m = 23 + -7. Calculate the remainder when 29 is divided by m.
13
Let i = 31 + -32. What is the remainder when 88 is divided by (-1143)/(-63) - i/(-7)?
16
Let s(q) = q**3 - 23*q**2 - 18*q - 78. What is the remainder when s(24) is divided by 12?
6
Let t be 1 + (-18 - -4*(-2)/(-4)). Let a = 59 + t. Calculate the remainder when a is divided by 15.
14
Suppose -3*x = 0, 2 = -2*c - x - 2. Let a(l) = -l**3 - l**2 - l. Let k(p) = -p**3 + 6*p**2 - p + 3. What is the remainder when k(5) is divided by a(c)?
5
Let o be 7/(343/(-14)) - (-1320)/14. Suppose o = 5*d - 76. What is the remainder when d is divided by 18?
16
Let w be 1/((-6)/(-3969))*16/(-12). Calculate the remainder when 78 is divided by (w/(-30) - (-4)/(-10)) + -2.
24
Let f = -92 - -99. Suppose -s - 758 = -5*a, f*a - 3*a + s - 601 = 0. Calculate the remainder when a is divided by 14.
11
Suppose 0 = 2*d + 3*a - 99 - 68, 2*d + 4*a - 172 = 0. Calculate the remainder when d is divided by 27.
22
Let d(k) = 19*k**2 + 27*k - 27. What is the remainder when 433 is divided by d(1)?
15
Suppose -3 = o, 0 = 2*a - 4*o + 2*o - 42. Calculate the remainder when 355 is divided by a.
13
Let t = 140 + -61. Let k = 90 - t. Calculate the remainder when 29 is divided by k.
7
Suppose -5*f + 3*f = -6. Suppose -f*k - k = 4*h - 160, 2*k - 2*h - 64 = 0. What is the remainder when 104 is divided by k?
32
Suppose 0*o + 73*o = 36865. Calculate the remainder when o is divided by 11.
10
Let d(u) = -31*u + 241. Suppose 5*p = -2*c + 598, 5*c + 452 = p + 3*p. Calculate the remainder when p is divided by d(7).
22
Let s be ((-4)/(-3))/((-4)/(-6)). What is the remainder when (-15)/(-12)*10*s is divided by 52/(-6)*(-8 - (-104)/16)?
12
Let t(s) = 79*s - 780. What is the remainder when 289 is divided by t(10)?
9
Suppose 3 + 227 = 2*m. Calculate the remainder when (-16)/3*30/(-4) is divided by (-1)/2 - m/(-10).
7
Let b(c) = -3*c - 12. What is the remainder when (-15*(-16)/480)/((-1)/(-64)) is divided by b(-8)?
8
Let z(q) = -q**3 - 15*q**2 - 3*q - 25. Suppose i = -2*i + 2*f + 232, 5*f = -2*i + 142. Calculate the remainder when i is divided by z(-15).
16
Suppose -4*j - x = -111, 0 = -3*j + x + 31 + 54. Suppose 2*d = -0*d + 2*k + j, 2*k + 8 = 0. What is the remainder when (3*6)/((-1)/(-1)) is divided by d?
8
Suppose 9*h - 3*h - 12 = 0. Suppose -2*u + 34 = 8. What is the remainder when u is divided by h?
1
Suppose -4*j = 20, -3*j = 3*a + 2*a - 860. Let x = 384 - a. What is the remainder when x is divided by 14?
13
Let d(n) = -8*n - 9. Let g(w) = -9*w - 10. Let j(z) = -3*d(z) + 2*g(z). What is the remainder when j(3) is divided by (-1 + 0)*-9*1?
7
Let g(n) = 2*n**2 + 8*n + 4. Let i be g(7). Suppose i = -8*f + 942. What is the remainder when f is divided by 25?
23
Let j(b) = 0*b**2 + 0*b - b**3 - 3*b**2 + 3*b + b**2. Let m be j(-5). Suppose m = 5*x + n, 2*n + 48 = 5*x - x. What is the remainder when x is divided by 7?
5
Suppose 0 = 4*h - h + 36. Let j be h/(-8)*(-16)/(-6). Suppose 0 = j*v + 2*z - 6*z - 104, v - 5*z = 30. What is the remainder when 72 is divided by v?
22
Suppose -4*w = 2*k - 490, -2*k + 2*w + 486 = 5*w. Calculate the remainder when k is divided by 34.
33
Let l(s) = 130*s - 32. What is the remainder when l(1) is divided by 51?
47
Let h(l) = 54*l - 307. Suppose 0 = -4*n - 0*n + 3*j + 178, 2 = -j. What is the remainder when n is divided by h(6)?
9
Suppose o - 58 = 43. What is the remainder when o is divided by (-24)/30 + (-1104)/(-30)?
29
Let d(u) = -u**3 - 8*u**2 - 15*u + 11. Let c be d(-7). Let x = 73 - c. What is the remainder when (-57 - -1)/(-2) + 0 is divided by x?
4
Suppose -5*n - 20 = -10*n. Suppose -146 = -n*a - 3*i