-9). Let q = -24 - i. What is the remainder when q is divided by 4?
2
Suppose k + 3*k + 2*h = 162, k - 63 = 4*h. Calculate the remainder when k is divided by 12.
7
Suppose -238 = -6*a - 16. Let b(y) = -y - 5. Let t be b(-4). Let p = t + 11. Calculate the remainder when a is divided by p.
7
Let s = 627 - 571. What is the remainder when 109 is divided by s?
53
Suppose -149 = -3*u + 2*i, -65 = 5*u + 3*i - 288. Suppose -3*c + 106 = -u. What is the remainder when 1/(3/c*1) is divided by 9?
8
Let n(w) = w**2 - 76 + 3*w + 3*w + 82. Calculate the remainder when 3 is divided by n(-5).
0
Let d(t) = -t**2 - 4*t + 5. Let n be d(-5). Let r be (-297)/(-45) - (-3)/(-5). Suppose n = -z + r + 19. Calculate the remainder when 74 is divided by z.
24
Suppose 13 = 2*t + g, -3*g - 3 = -5*t + 2. Suppose -w - t*l = -67, -3*w = -l - l - 243. What is the remainder when w is divided by 27?
25
Let r(m) be the third derivative of m**4/8 + 5*m**3/2 + 50*m**2. What is the remainder when r(15) is divided by 21?
18
Suppose 3*v + 4*q = v + 78, 0 = -2*q - 2. Calculate the remainder when 489 is divided by v.
38
Suppose 5*j + 0*x + x = -45, 5*x + 5 = -3*j. Let v = j + 8. Let u = 14 + v. What is the remainder when 22 is divided by u?
10
Suppose -3*x - x + f = -278, -3*f - 64 = -x. What is the remainder when x is divided by 19?
13
Let m = 224 + -205. Calculate the remainder when 140 is divided by m.
7
Suppose 0 = -x + 5*y + 61, 0 = 5*x - 3*y + 32 - 315. What is the remainder when 160 is divided by x?
48
Suppose 20*q - 24*q = -2576. What is the remainder when q is divided by 15?
14
Suppose 8*o - 7*o - 58 = -5*m, 0 = 4*o + 8. Suppose h - 53 = 2*w, 6*h - h - 238 = w. What is the remainder when h is divided by m?
11
What is the remainder when (5*(-2148)/(-40))/((-3)/(-4)) is divided by 52?
46
Suppose 4*a + 15 = -b + 91, 5*b = -3*a + 414. Calculate the remainder when b is divided by 23.
15
Suppose 0 = 4*t + 5*z - 478, -5*t + 0*t - 2*z = -606. Calculate the remainder when t is divided by 31.
29
Let q = 1384 - 1374. What is the remainder when (-16)/(2 + (-3 - 0)) is divided by q?
6
Suppose 0 = 3*o - 243 + 18. Suppose -13 = -q - 3*y, 23*q - 19*q + 3*y = 52. What is the remainder when o is divided by q?
10
Let m(d) = 4*d + 5. Let s(i) = 5*i**2 + i - 1. Let n(k) = k**3 - 13*k**2 + 13*k - 11. Let u be n(12). What is the remainder when m(6) is divided by s(u)?
4
Let b(n) = -5*n + 150. Calculate the remainder when b(20) is divided by 47.
3
Let w(u) = -u**2 - 13*u - 1. Let p be w(-14). Let o = -3 - p. What is the remainder when 22 is divided by o?
10
Suppose 825*n = 830*n - 15. Let t = 11 - 7. What is the remainder when t is divided by n?
1
Suppose -4*r + 117 = -r. Let k = 3 + -3. Suppose k = v - r + 6. Calculate the remainder when v is divided by 9.
6
Let v = 95 - 98. What is the remainder when ((-638)/(-66))/((-1)/v) is divided by 16?
13
Let t be 45/30*(-8)/(-3). Suppose 5*v = -3*l + 10, -v = -t*l + 18 + 3. Calculate the remainder when 56/6 + 2/(-6) is divided by l.
4
Let j(g) = -3*g + 3. Let r = -8 + -2. Calculate the remainder when 97 is divided by j(r).
31
Let z be -3 + (0 - -3) + -245. Let y be 4/(-22) - z/77. Suppose y = s + s - 3*n, -2*s + 8 = -2*n. Calculate the remainder when 33 is divided by s.
6
Suppose 16*v - 19*v = -330. Calculate the remainder when v is divided by 53.
4
Suppose 43*r - 54*r = -1133. What is the remainder when 208 is divided by r?
2
Suppose 5*a - 42 = 53. What is the remainder when (17 - 1)/(2/9) is divided by a?
15
Let z be (-19 + 0)/(3/9). Suppose -86 = h + 3*b, 0 = -0*h + 3*h - 3*b + 234. Let l = z - h. Calculate the remainder when l is divided by 6.
5
Let w = 209 - 141. Calculate the remainder when w is divided by 27.
14
Let z be (-28)/14 + (11 - 1). Let q be (-6 + z)/((-4)/(-14)). Suppose -14*g + 126 = -q*g. What is the remainder when 70 is divided by g?
16
Let p(n) = -n**3 - 24*n**2 - 54*n + 73. What is the remainder when p(-22) is divided by 76?
65
Suppose 14*p - 759 = 3*p. Calculate the remainder when 197 is divided by p.
59
Calculate the remainder when 177 is divided by 18/(-153) - (-5048)/136.
29
Let o = 46 - 33. Suppose -72 = -10*p + 5*p + 3*p. Calculate the remainder when p is divided by o.
10
Suppose 0*g = -6*g - 48. Let f(w) = w**2 + 10*w + 4. Let v be f(g). Let d(l) = -l**2 - 12*l + 6. What is the remainder when 11 is divided by d(v)?
5
Suppose 0 = -101*z + 107*z - 810. What is the remainder when z is divided by 80?
55
Suppose 11*a - 40 = 3*a. Suppose -a*c + 54 = -56. What is the remainder when 85 is divided by c?
19
Let k = 683 - 506. Calculate the remainder when k is divided by 7.
2
Let q(w) = 2*w**2 - 2*w + 9. What is the remainder when q(4) is divided by 20?
13
Let v = -35 + 41. Calculate the remainder when ((-27)/v)/(-2*(-2)/(-16)) is divided by 12.
6
Let q = -60 + 86. Suppose -w + 4*b + 69 = b, 5*w = 5*b + 365. Calculate the remainder when (w/(-9))/(7/(-6) + 1) is divided by q.
24
Suppose 0 = 2*f - 3*f + 191. Suppose 0*a + 5*o + 19 = a, -5*a + o + f = 0. What is the remainder when a is divided by 10?
9
Let q be -1 + 0 - (9 + -14). Suppose u + u - b = 29, 5*u - 77 = q*b. Let i = 20 - -31. What is the remainder when i is divided by u?
12
Let q = -87 - -80. What is the remainder when (q - -6)*1 + (-101)/(-1) is divided by 26?
22
Suppose -2*o + 50 = 3*o. Let t be 4/7 - 18/7. Calculate the remainder when 9 is divided by (2/(-2))/(t/o).
4
Let t = -111 + 180. What is the remainder when 137 is divided by t?
68
Suppose -56 = -13*n + 269. What is the remainder when n is divided by 21?
4
Let d = -165 + 197. Calculate the remainder when 127 is divided by d.
31
Let f = 296 - 291. What is the remainder when 93 is divided by f?
3
Let v be -1 + -1 - (-52)/13. What is the remainder when v - 3/(-3) - -19 is divided by ((-3)/2)/((-2)/16)?
10
Let n = 67 - 63. Calculate the remainder when 5 is divided by n.
1
Calculate the remainder when 305 is divided by (8/6)/(-5 - (-321)/63).
11
Suppose 4 = -z, z + 1250 = 5*b - 14. What is the remainder when b is divided by 129?
123
Suppose 46*h - 15 = 905. Calculate the remainder when 476 is divided by h.
16
What is the remainder when 40 is divided by (1 - (5 - 12))*(-6)/(-8)?
4
Suppose -3*y + y - r = -33, -r = -y + 12. Suppose 24 = -18*g + 26*g. Calculate the remainder when y is divided by g.
0
Let j(t) = 2*t**3 + t**2 + 4*t - 4. Calculate the remainder when j(1) is divided by 1.
0
Suppose 4 = 4*t - 12. Suppose 93 = 3*h - s, -t*h + 4 = -4*s - 120. Suppose a = h + 13. Calculate the remainder when a is divided by 9.
8
Suppose -270 = -9*c + 6*c. Suppose -5*x = 4*s - 0*s - c, 5*s + 25 = 0. Let w = x - 10. What is the remainder when 19 is divided by w?
7
Suppose 463 = 4*o + 3*v, -5*o = 36*v - 33*v - 581. Calculate the remainder when o is divided by 17.
16
Suppose -20 = 5*x, -k - x = 3*x + 13. Suppose k*s = -t + 23, 82 = -0*t + 3*t - 4*s. Calculate the remainder when t is divided by 5.
1
Let h = -9 + 14. Suppose 0 = -2*g + h*d + 24, 4*g + 5*d = 2*g - 16. Suppose -79 = -g*k + 29. What is the remainder when k is divided by 28?
26
Suppose 3*s - 107 = -8*b, -38*b + 37*b = -5*s - 8. Suppose -m - m = 16. Let d = 16 + m. What is the remainder when b is divided by d?
5
Let f = -7 - -10. Suppose 3*v + 8 = j, j - v - 23 = -f*v. Suppose j = 4*t + 5. What is the remainder when t is divided by 3?
0
Let f(n) = -7*n**2 - 2 + 18*n - n**3 - 29*n + 7 - 17. What is the remainder when 51 is divided by f(-6)?
15
Suppose -3*l + 2*g + 37 = 0, -3*l = 2*g + g - 42. Calculate the remainder when 102 is divided by l.
11
Suppose 39*f + 158 = 41*f. Suppose 5*u - 100 = -0*u. What is the remainder when f is divided by u?
19
Let w(c) = -c + 2. Let x = 5 + -2. Suppose -27 - x = -5*g. What is the remainder when w(-9) is divided by g?
5
Suppose -6 = -3*v - 0. Let n(a) = -a**2 - 2*a + 2. Calculate the remainder when n(-2) is divided by v.
0
Let o(z) = -5 + z - z - z. Calculate the remainder when o(-7) is divided by (117/78)/((-6)/(-8)).
0
Let f(i) = -i**2 - 22*i - 91. What is the remainder when 20 is divided by f(-16)?
0
Let j(b) = -88*b**3 - 2*b**2 + 2*b + 1. Let s be j(-2). Calculate the remainder when 98 is divided by 1/(-1)*s/(-21).
32
Let i = -59 + 66. Let f(h) = -3*h + 7. Calculate the remainder when f(-2) is divided by i.
6
Suppose 2*m - 60 = -14. Calculate 