 be 9/12 + (-274)/(-8). Let v = -32 + c. Suppose -v*k + 31 = -230. What is the remainder when k is divided by 30?
27
Let r = 270 + -75. Let t = -98 + r. What is the remainder when t is divided by 33?
31
Let p = -3805 - -3808. Let h(l) = 2*l**2 + 1. Calculate the remainder when h(-1) is divided by p.
0
Suppose 2*p - 5*b - 159 = 0, 0 = -3*p + 20*b - 23*b + 186. Calculate the remainder when 219 is divided by p.
18
Suppose 6*a - 3*a = 165. Let o = -50 - -52. Calculate the remainder when a is divided by o/(-5) + 1512/105.
13
Calculate the remainder when (-1712)/(-4) - ((-1)/1 - -1) is divided by 24.
20
Let f be (-950)/20*1*-4. Suppose 0*a - 2*a = -3*l + f, 4*l = -3*a + 225. What is the remainder when l is divided by 32?
28
Let d = -89 - -65. Calculate the remainder when 23 is divided by (-1)/6 - 364/d.
8
Suppose 0 = 3*r - 52 + 4. Let k = 22 - r. What is the remainder when 17 is divided by k?
5
Let j be (-42)/70 - (-18)/5. Suppose 4*w = -3*n + 56, -n - 70 = -5*n - j*w. Calculate the remainder when 1*-2*(-93)/6 is divided by n.
15
Suppose 48*o = 75 + 532 + 1601. Suppose -3*x = 5*n - 70, -10 = 5*n + x - 90. Calculate the remainder when o is divided by n.
12
Suppose 4*a = -4*f + 64, -2*f + 34 = 4*a - 4*f. Let l = -19 + a. Let q = 13 + l. What is the remainder when 14 is divided by q?
4
Suppose 0 = 2*u + u + 3*y + 3, 2 = -2*u + 5*y. Let s = 3 - u. Suppose 16 = s*h, 3*z + h - 13 = -3. What is the remainder when 2 is divided by z?
0
Suppose -f - 4 - 8 = -3*a, -a + 4*f - 7 = 0. Let w be a + (-1)/((-1)/(-3)). Calculate the remainder when (-18)/3*(-9)/w is divided by 7.
6
Let l(k) = 57*k**2 + 28*k + 9. What is the remainder when l(-2) is divided by 92?
89
Let l be 7/(7/76) - 3. Let p = -30 + l. Calculate the remainder when p is divided by 22.
21
Let j be (-68)/6*(-9)/(-6). Let y = j + 35. What is the remainder when y is divided by 7?
4
Suppose 2*f - 4 = 3*l - 6*l, 2 = f + 5*l. Suppose 4*b + f*c - 56 = 0, -3*b + 4*b + c - 14 = 0. What is the remainder when 25 is divided by b?
11
Let w = -2 - -29. Suppose 11*k = -0*k + 88. What is the remainder when w is divided by k?
3
Let o = 18 - 13. Suppose o*v - 2 = 63. What is the remainder when 129 is divided by v?
12
Let g = 5287 + -5274. Let r = 72 - 47. What is the remainder when r is divided by g?
12
Suppose 0 = 4*g + y - 16, g - 4*g = 2*y - 7. Suppose 0 = h - g*h + 44. Calculate the remainder when 32 is divided by h.
10
Let b(l) = -2*l**2 - 47*l - 33. What is the remainder when 195 is divided by b(-17)?
7
Let y(l) = 5*l**2 - 16*l + 10. What is the remainder when y(6) is divided by 32?
30
Let g = -471 - -255. Let i be 4/14 - g/126. Suppose -i*x = 4*n - 58, -3*n + x - 4*x + 39 = 0. Calculate the remainder when 45 is divided by n.
13
Let g = 4 - 1. Suppose 4*x = -x + 194 - 154. Calculate the remainder when x is divided by g.
2
Suppose 3*o + 10 = 8*o. Suppose -3*k + 103 = -o*u, -3*u - 46 = -3*k + 56. What is the remainder when k is divided by 12?
11
Suppose 2*w - 329 = -0*w - 5*u, -2*u - 895 = -5*w. Calculate the remainder when w is divided by -2 - (0/13 + -11).
6
Let p(h) = 15*h - 7. Let k be p(3). Suppose k = 4*a - 54. What is the remainder when a is divided by 8?
7
Calculate the remainder when 83 is divided by (-310)/(-50) - (-45)/25.
3
Let v(x) = -6*x**2 - 68*x - 38. Calculate the remainder when 150 is divided by v(-10).
24
Suppose 0 = 5*q + 4*h - 27, 2*q + 30 = 7*q + 5*h. Suppose 0 = 2*m + q*m - 40. What is the remainder when m is divided by 3 + 1 + -1*1?
2
Let w(p) = p**3 + 9*p**2 + 6*p - 4. Suppose 0 = -5*d + 373 - 88. What is the remainder when d is divided by w(-8)?
9
Suppose 3*f - 3*n = 3792, -3812 = -3*f - 4*n + 3*n. What is the remainder when f is divided by 106?
103
Let h(j) = j**3 - j**2 - 12*j + 15. Let d be 8/4 + 6 + -4. What is the remainder when 64 is divided by h(d)?
4
Suppose 0 = 3*i - i - 48. Suppose 0 = 404*p - 458*p + 3834. What is the remainder when p is divided by i?
23
Let d = -93 + 109. Suppose 4 = -w - 5*b + d, 5*b = 2*w + 6. What is the remainder when -5*(1 + (-18)/10) is divided by w?
0
Let a(r) = 38*r - 1. Let m(b) = -b**2 + 11*b. Let g be ((-45)/12)/(9/(-24)). What is the remainder when a(1) is divided by m(g)?
7
What is the remainder when 75 is divided by 5*6 - 14/2?
6
Let s(y) = 5*y + 74. Calculate the remainder when s(7) is divided by 14.
11
Suppose 12 = -5*o + 2. Let j = 2 + -6. What is the remainder when o - j - 64/(-2) is divided by 9?
7
Suppose 2*k - 5*d - 109 = 0, -102*k - 3*d + 226 = -97*k. Calculate the remainder when 467 is divided by k.
44
Suppose -7*x + 475 = -197. Calculate the remainder when x is divided by 33.
30
Let y be (4/3)/((16/(-12))/(-2)). Suppose -78 = -y*x - 4*b + 62, 5*b = 0. Calculate the remainder when x is divided by 25.
20
Suppose -2*k + 13 = z, 4*k + 0*k + 10 = 2*z. Let s = -12 + z. Let j(x) = -x**3 - x**2 + x + 3. What is the remainder when 70 is divided by j(s)?
16
Let z(c) = -1. Let j(u) = -35*u + 28. Let s(m) = -j(m) - 2*z(m). What is the remainder when s(6) is divided by 47?
43
Suppose 4*k - 8 = 12. What is the remainder when k/(5/2) + 89 is divided by 24?
19
Suppose -13670*p + 13685*p = 1410. Let j(y) = y - 6. Let b be j(6). Let x(n) = -n**3 + n**2 + 24. Calculate the remainder when p is divided by x(b).
22
Suppose 0 = a + 4*z - 122, -5*z - 92 - 618 = -5*a. Suppose 2*n = 4*x - 73 + 23, 0 = -x + 2*n + 20. What is the remainder when a is divided by x?
8
Let w be (-1 + 5)*(-2)/(-4). Let p(c) = 2*c**2 + 51*c + 304. Calculate the remainder when (-185)/(-2) + 1/w is divided by p(-8).
21
Let f(k) = k**3 + 2*k**2 - 6. Let p = 1 - -46. What is the remainder when p is divided by f(2)?
7
Suppose -w = w + 16. Let q be w/(-36)*69*-3. Calculate the remainder when 4/(-1) - (q + 7) is divided by 9.
8
Suppose 0 = -3*y - 5*m + 2*m + 24, -2*m - 24 = -3*y. Suppose -5*x + 2*x = 2*z - 25, z - 3*x - y = 0. What is the remainder when 32 is divided by z?
10
Let f = 253 - 243. Calculate the remainder when 75 is divided by f.
5
Suppose -b + 0 = -29. Let s(a) = -a**3 - 17*a**2 + 17*a - 10. Calculate the remainder when b is divided by s(-18).
5
Let v = -258 - -525. What is the remainder when v is divided by 15?
12
Let t(p) = 200*p**2 + p - 4. Calculate the remainder when t(-3) is divided by 69.
68
Let u = -70 + 82. Suppose -c - 44 = 2*t, 4*c = -0*c - 16. Calculate the remainder when t/25*55/(-2) is divided by u.
10
Suppose 47 - 9 = 2*j. Suppose j*w + 33 = 16*w. Let m = 16 + w. What is the remainder when 17 is divided by m?
2
Let q(m) = 7*m - 5. Let r(h) be the second derivative of -7*h**3/3 - 23*h**2/2 + 6*h. What is the remainder when r(-8) is divided by q(4)?
20
Let m(v) = -v**3 + v**2 - 3*v - 5. Let i be 1/(0 - (-4)/20). Let a be (6/i)/(4/(-10)). What is the remainder when m(a) is divided by 7?
5
Let v = 108 + -105. What is the remainder when 15 is divided by v?
0
Let r = -43 + 165. Calculate the remainder when r is divided by 44.
34
Suppose 6*o + 713 = 1523. What is the remainder when o is divided by 80?
55
Let i(o) be the third derivative of o**6/120 - o**5/12 - o**4/8 - 13*o**3/6 + 29*o**2. Suppose 3*a = -a + 16. Calculate the remainder when i(6) is divided by a.
1
Suppose 0*z + 5*a + 5 = -3*z, -5*a = -5*z + 5. Let t = z + 19. What is the remainder when 35 is divided by t?
16
Let s(z) = -z**2 + 8*z + 4. Let x be s(-5). Let c = -35 - x. Calculate the remainder when c is divided by ((-4 + 4)/4 - -12) + -3.
8
Let o = 13 + -31. Let j(x) = 3*x + 20. Let c be j(-12). Let y = c - o. Calculate the remainder when 7 is divided by y.
1
Let b(m) = -m**3 + 16*m**2 - 16*m + 13. Let t be b(15). Let z = t + -1. Calculate the remainder when 6 is divided by 0/z + (3 - 0).
0
Let s = -141 + 184. Calculate the remainder when s is divided by 5.
3
Let c(l) = -l**3 - 9*l**2 + l + 13. Let n be c(-9). Let h(p) = -p**2 + 5*p - 10. Let w be h(n). What is the remainder when 943/9 + w/(-27) is divided by 18?
15
Let t(k) = 8*k**2 - 125*k + 33. Calculate the remainder when t(17) is divided by 32.
28
Let q = 51 - 49. What is the remainder when (-399)/(-35) + 2/(-5) is divided by q?
1
Suppose -2*s + 4*s - 22 = 0. Suppose -i + 35 = -4*x + 6, 3*x = -3*i + 132. What is the remainder when i is divided by s?
8
Let l(p) = -p + 94. Calculate the remainder when 224 is divided by l(16).
68
Suppose 133 = -233*i 