pose v = -5*n + n. What is the remainder when r(n) is divided by 10?
8
Suppose 0 = 2*l, -4*o + 2*l = -l - 8. Let w(z) = -5*z - 1. What is the remainder when ((-846)/54)/(o/(-6)) is divided by w(-5)?
23
Suppose -h = 3*o - 6*h - 38, o = -4*h - 10. What is the remainder when (-1)/(142/(-141) - (o + -7)) is divided by 18?
15
Let i(l) = l**2 - l - 4. Suppose -u + 12 = -2*a - a, -4*u + 2*a = -8. Let m be i(u). Let k = m - -9. Calculate the remainder when k is divided by 2.
1
Suppose 3774 = -66*a + 72*a. Calculate the remainder when a is divided by 63.
62
What is the remainder when 14/((28/(-12) - 1) + 4) is divided by 8?
5
Suppose -23*g + 115 = -24*g. Let k = -27 - g. Calculate the remainder when k is divided by 23.
19
Let u be (-1)/4 - 23/4. Let p = 18453 - 18402. What is the remainder when p is divided by ((-8)/u)/(4/54)?
15
Let w(n) = -n**2 + 101*n - 114. Calculate the remainder when w(69) is divided by 131.
129
Let a = -31 + 51. Suppose -85*y - 216 = -89*y. Suppose -y - 25 = -m. What is the remainder when m is divided by a?
19
Let i(g) = -g**3 - 8*g**2 + g + 17. Calculate the remainder when 16 is divided by i(-8).
7
Suppose 64 = 3*l + 4*g, 0*g = -3*l - g + 61. Calculate the remainder when 96 is divided by l.
16
Let b(a) = a**3 - 11*a**2 - 14*a + 29. Let k be b(12). Let d(g) = -g - 116. Let w be d(0). What is the remainder when (-1)/5 - w/k is divided by 12?
11
Suppose 11*q - 5*q = 24. Suppose 0 = 3*a - q*l - 166, 274 = 5*a - 7*l + 3*l. What is the remainder when a is divided by (-80)/(-6) + 6/9?
12
Let r be (-6)/((-6)/(-2)) + 0 + 5. Suppose -3 = 3*d - 9, -2*d = r*q - 55. What is the remainder when q is divided by (12/10)/((-1)/(-5))?
5
Let b(l) = -l**3 - 13*l**2 - 53. Calculate the remainder when b(-15) is divided by 80.
77
What is the remainder when (-12950)/(-56) - 7/28 is divided by 37?
9
Let y = 3 + -2. Let g = y + 8. What is the remainder when 44 is divided by g?
8
Let f(h) = -109*h - 102. Calculate the remainder when f(-5) is divided by 74.
73
Suppose 75 = 3*d - 3*o, 6*d - 2*o - 94 = 2*d. Let b = 12280 + -12272. Calculate the remainder when d is divided by b.
6
Suppose -4*q + 2*v = -2*q - 16, 4*q - 32 = 5*v. What is the remainder when 31 is divided by q?
7
Let y(z) be the second derivative of z**3/6 + 5*z. Calculate the remainder when (-11)/2*(-6)/3 is divided by y(6).
5
Suppose -586 = -11*k + 635. Calculate the remainder when k is divided by 56.
55
Suppose 0 = -2*p + c - 3*c + 20, -15 = -4*p + c. Let x = p + -2. Suppose -2*h + 3*r = -x*h + 8, 4*h = r + 45. Calculate the remainder when 31 is divided by h.
9
Suppose 0*x = -x + 2*x. Suppose x = 2*m - 12. Calculate the remainder when 17 is divided by m.
5
Let t = 307 - 141. What is the remainder when t is divided by 34?
30
Let r(s) = -s**2 - 9*s + 8. Let k be r(-8). Let o be 3/(-2)*k/(-12). Calculate the remainder when o/((-6)/3) - -68 is divided by 17.
16
Calculate the remainder when -108*11/(-132)*27 is divided by 82.
79
Let q(x) = x**3 - 29*x**2 + 40*x - 190. Calculate the remainder when q(28) is divided by 21.
20
Let s be ((-6)/4)/(6/(-372)). Let l = 180 - s. Calculate the remainder when l is divided by 30.
27
Suppose -54 = 34*f - 37*f. Calculate the remainder when 80 is divided by f.
8
Let y = 36 - 26. Let f = y - -4. Calculate the remainder when f is divided by 4.
2
Let h = -745 + 819. Calculate the remainder when 139 is divided by h.
65
Let o = -5 - -30. Let d(y) = -y**3 - 4*y**2 + 9*y - 11. What is the remainder when d(-7) is divided by o?
23
Let u(l) = -16*l + 1. Let o(s) = -9*s**3 - 3*s**2 - 2*s - 1. What is the remainder when o(-2) is divided by u(-1)?
12
Suppose -4*q = -4*f + 44, 0*q = 3*f - 4*q - 35. Calculate the remainder when -13*8*10/(-20) is divided by f.
7
Let j(l) = l**2 - 16*l + 66. Suppose -53 - 29 = -2*t. Calculate the remainder when t is divided by j(11).
8
Let b = 36 + -31. Suppose -55 = -2*n + b*u, 4*u + 17 = 5. Calculate the remainder when 78 is divided by n.
18
Let t = -541 - -546. Calculate the remainder when 24 is divided by t.
4
Suppose -99 = -3*g + x + 4*x, -5*g - x = -193. Suppose -s - 5*p + 14 = 0, -5*s = 3*p - 10 - g. Calculate the remainder when s is divided by 6.
3
Suppose -3 = -2*l + 1. Suppose -c + p = -l*p - 1, 4*c = -4*p + 36. Suppose -c*w - 42 = -154. Calculate the remainder when 30 is divided by w.
14
Let q = 557 - 534. What is the remainder when 365 is divided by q?
20
Suppose 3*p + 5*l = 6*p - 47, -15 = -3*p - 3*l. Let v be 15 - (-4 - -1 - -6). Suppose -12 = -w + v. Calculate the remainder when w is divided by p.
6
Let u = -32 + 76. Suppose -5*c = -c - 12. Suppose -c*j + 24 = -21. Calculate the remainder when u is divided by j.
14
Suppose 8*l = 218 + 38. Calculate the remainder when 53 is divided by l.
21
Let g = 324 + -158. Let k = -107 + g. Calculate the remainder when k is divided by 12.
11
Suppose 0 = -2*z - 0*c - 4*c - 8, 3*c = 3*z - 24. Suppose -5*d + 29 = z. What is the remainder when 18 is divided by d?
3
Suppose 0 = -4*r + 12, 0 = -5*s - 2*r - 6 + 132. Calculate the remainder when 63 is divided by s.
15
Let f(k) = 52*k + 39 - 113*k + 54*k. What is the remainder when 12 is divided by f(5)?
0
Let s(r) = -r**3 + 9*r**2 + 3*r - 22. Let j be s(9). Suppose -j*f - 6 - 4 = 0, 4*f - 257 = -5*v. Calculate the remainder when v is divided by 6.
5
Let g(x) = x**3 - 8*x**2 - 3*x. Let p be g(7). Let y = 127 + p. What is the remainder when y is divided by 20?
17
Let p = -54 - -74. Calculate the remainder when 214 is divided by p.
14
Suppose 6*x - 52 = -4. What is the remainder when 222 is divided by x?
6
Let j(k) be the first derivative of -k**4/4 + 2*k**3 - k**2 - 5*k + 5. Let v = 10 - -1. What is the remainder when j(4) is divided by v?
8
Let t = -49 + 58. Let p(a) = -2*a + 63. Let y(h) = h - 31. Let v(o) = 4*p(o) + 7*y(o). What is the remainder when v(0) is divided by t?
8
Let y(m) = -7*m**2 + 5*m + 6. Let c be y(-4). Suppose -3*o + 25 = -5. What is the remainder when 17 is divided by c/35*o/(-4)?
8
Suppose 1069*g - 1083*g + 4368 = 0. What is the remainder when g is divided by 90?
42
Let d be -3 - 9/((-27)/12). Suppose -3 = -2*r + d. Suppose 5*f - r*f = 33. Calculate the remainder when 20 is divided by f.
9
Let d(i) = -2*i + 37. Calculate the remainder when 76 is divided by d(5).
22
Suppose 4*b - 12 = -4*x, 89*b - 91*b + x = -21. What is the remainder when 30 is divided by b?
6
Suppose 3*x - 2*s = 78, x + 3*s = 32 + 5. Suppose 5*z - 1232 + 1017 = 0. What is the remainder when z is divided by x?
15
Let c = 161 + -155. Let d(r) be the second derivative of r**5/20 - r**4 + 13*r**3/6 + 6*r**2 + 2*r. What is the remainder when d(11) is divided by c?
4
Let r = -1062 - -1080. What is the remainder when 755 is divided by r?
17
Suppose 4*g - y = 105 - 41, 2*g - 32 = -3*y. Let c(m) = 12*m**2 + 4*m - 10. What is the remainder when c(3) is divided by g?
14
Let m = -154 + 193. What is the remainder when m is divided by 6?
3
Let z = -223 - -335. Suppose 3*v - z = 14. Let r(q) = -2*q**3 + 3*q + 1. Calculate the remainder when v is divided by r(-2).
9
Let j = 248 + -135. Suppose 12*w = 11*w + 23. Calculate the remainder when j is divided by w.
21
Suppose 3*j + 13*u - 56 = 17*u, -112 = -5*j + 2*u. Suppose 0 = -0*l + l + 2. Calculate the remainder when 71*(2*-1)/l is divided by j.
23
Suppose 5*x + 9 = -4*a - 18, 0 = 2*a + x + 9. Calculate the remainder when 107 is divided by 32 + (-3 - (-5 - -1)) - a.
35
Let j = -22 + 36. Suppose -3*v + 4*g + 61 = 0, 0 = -3*v + 3*g - 8*g + 79. Calculate the remainder when v is divided by j.
9
Let g be ((-3)/(-2))/(6/(-24)). Suppose -24 = -f - 0*f. What is the remainder when f is divided by (g/2)/((-30)/130)?
11
Let t = 417 + -374. What is the remainder when t is divided by 5?
3
Calculate the remainder when 109 is divided by 78/(-52)*192/(-9).
13
Suppose -6*n - 19*n = -20375. What is the remainder when n is divided by 24?
23
Suppose -20 + 133 = g. Calculate the remainder when g is divided by -1*308/(-14) - -7.
26
Suppose -4*l + 178 = 3*q - 170, -2*l - q + 172 = 0. Calculate the remainder when l is divided by 8.
4
Suppose 33*b + 5*m = 31*b + 3, 11 = 4*b + 5*m. What is the remainder when 114/10 + (-4)/10 is divided by b?
3
Suppose 4 + 50 = 3*t. Suppose -v - v = 2*p - t, 5*p = -v + 29. Let j = -23 - -41. Calculate the remainder when j 