 10.
6
Let l(p) = -183*p**3 + 4*p**2 + 4*p + 1. Calculate the remainder when l(-1) is divided by 85.
14
Suppose 3*h + l = 19, -3*h = -5*l + 2 + 3. Suppose -h*d + 12*d - 427 = 0. Suppose 14 = 5*v - d. Calculate the remainder when 44 is divided by v.
14
Suppose -113*u = -59*u - 432. Calculate the remainder when 4621 is divided by u.
5
Let v(o) = 4*o**3 - 249*o**2 + 78*o - 85. What is the remainder when v(62) is divided by 22?
5
Suppose -6*c = 6 + 54. Let b = 4 - c. Let n = b - -3. Calculate the remainder when 67 is divided by n.
16
Let q = -9367 + 9827. Calculate the remainder when 1006 is divided by q.
86
Calculate the remainder when -1*18 - (-17173 + 128) is divided by 131.
128
Suppose 13 = 3*b - 53. Let g(n) = -n**2 + 34*n - 161. Calculate the remainder when g(17) is divided by b.
18
Let o = 11606 + -11596. What is the remainder when 60 is divided by o?
0
Let r(o) = -233*o + 9591. Calculate the remainder when 13548 is divided by r(40).
269
Suppose 5*w + 4*h - 69 = -268, w - 2*h = -37. Let g = 42 + w. Suppose -4*j + 95 + 56 = g*x, 0 = 2*x + 5*j - 89. Calculate the remainder when x is divided by 30.
27
Let v(p) = -p**2 - 54*p + 23. What is the remainder when v(-46) is divided by 158?
75
Let f(n) = -n**2 + 15*n + 10. Let d = -30 + 37. Let o be f(d). Suppose -o = l - 3*l. What is the remainder when l is divided by 18?
15
Let h(t) = -t. Let i be h(-2). Let j(a) = 2 - a**3 - 14*a + 15*a**2 - 4 + 3*a**i - 13. Calculate the remainder when j(17) is divided by 8.
4
Suppose -5*j - q - 13 = -42, -j + 5*q = -11. Let n be 4/24*3*0. Suppose n*o - 234 = -j*o. Calculate the remainder when o is divided by 8.
7
Let l = 2201 - 2177. Calculate the remainder when 271 is divided by l.
7
Let o = 90 - -21. Let u = -94 + 144. Suppose -u = -6*p + 34. What is the remainder when o is divided by p?
13
Let c(x) = -x**2 + 12*x - 17. Let f be ((-45)/10)/(2/4). What is the remainder when c(7) is divided by f + 7 - 6*-1?
2
Suppose -w = 5*g - 294, 3*w = -5*g + 191 + 111. Calculate the remainder when 919 is divided by g.
49
Suppose 3*j - 44 = 256. Suppose a - k = 2, -3*k = a + 2*k - 8. Suppose -2*s - a*u = -5*u - 68, 2*s - 68 = -4*u. What is the remainder when j is divided by s?
32
Let w(p) = -p**3 - 3*p**2 + 18*p + 36. Let u be w(-6). Let t = u - 22. What is the remainder when (-4)/2*106/(-4) is divided by t?
11
Let f = -62 - -66. Suppose 2*r - f*w - w = 143, -3*r + 206 = w. Calculate the remainder when r is divided by 26.
17
Let q(h) = -h**2 + 12*h. Let i = -80 + -12. Let d be 2/(-4 - i/22). Calculate the remainder when q(d) is divided by 3.
2
Let w be -5 + (-81)/(-15) + 36/10. Suppose -2*x - w = 2*f - 68, 4*x - 3*f - 114 = 0. What is the remainder when 77 is divided by x/(-6)*4/(-2)?
7
Let y(c) = 18*c**2 - c - 2. Let g be y(-2). Suppose -5*h + g - 2 = 0. Suppose 71*r - 6538 = -30*r - 2397. Calculate the remainder when r is divided by h.
13
Let j(m) = 53*m**2 - 52*m - 100. Calculate the remainder when 597 is divided by j(-2).
165
Let o be 6/(-18) + (-42)/9 + -129. Let x = 129 - o. What is the remainder when x is divided by 22?
21
Suppose -30*p + 28*p + 522 = 3*d, -d = -p - 169. What is the remainder when d is divided by 57?
1
Let g(d) = 257*d**3 + d**2 - d. Suppose 0 = 57*r - 61*r - 2*z + 108, 2*r - 34 = -6*z. What is the remainder when g(1) is divided by r?
25
Suppose -16*m + 4226 + 3534 = 0. Let q = m - 112. Calculate the remainder when q is divided by 17.
16
Suppose 4*s + 4*p - 464 = 0, -5*s + 2*p = -2*s - 358. Calculate the remainder when s is divided by 18/(-8)*(4 + -6)*(-30)/(-9).
13
Let d(h) = -h**3 + 12*h**2 - 22*h + 22. Let k be d(10). Let a be 24/(-40) + 36/10. Suppose -k*b + 55 = a*b. Calculate the remainder when 17 is divided by b.
6
Let h = -7 + 11. Suppose 0 = h*u + 53 - 277. Let x = 54746 + -54731. What is the remainder when u is divided by x?
11
Suppose 2*c - 3*c = -2*h + 101, 5*c - 78 = -h. Let f = 36380 - 36228. What is the remainder when f is divided by h?
46
Suppose -20 = -4*v + 8*v, r - 5*v = 53. Calculate the remainder when 1007 is divided by r.
27
Suppose 161 + 39 = -4*x - 4*u, 0 = 4*u + 20. Let f = x + 50. Suppose 5*r + 25 = 0, -6*r = -f*c - r + 340. What is the remainder when c is divided by 17?
12
Let d = 4278 + -4171. Calculate the remainder when 361 is divided by d.
40
Suppose 5*y + 40 = 0, 7*w - 6*w + y - 909 = 0. What is the remainder when w is divided by 40?
37
Let l(q) = -q**2 + 8*q + 6. Let f be l(6). Let z(b) = 11*b**2 + 82*b - 29. Let p be z(-8). Let h = p - f. What is the remainder when 2 is divided by h?
0
Suppose -2*q - 5*d = -165, 0 = q + d - 5*d - 63. What is the remainder when 516 is divided by q?
66
Let m(a) = a**2 + 10*a + 13. Let i be m(-11). What is the remainder when 18/i - 724/(-16) is divided by 28?
18
Suppose -13*j + 11*j = -68. Let h = j - 32. Suppose -3*y = h*y + 2*g - 26, g = -y + 4. What is the remainder when 11 is divided by y?
5
Let c = 6951 + -6810. Calculate the remainder when 6343 is divided by c.
139
Let g = 6 + 3. Let p(s) = 90*s**3 - 2*s**2 + 4*s + 10. Let l be p(-2). Let c = 760 + l. What is the remainder when c is divided by g?
7
Let c = 3670 - 3622. Let k(l) = l**2 + 10*l + 11. Calculate the remainder when c is divided by k(-10).
4
What is the remainder when 3074 is divided by (-43)/(86/(-18)) + (-12)/(-2)?
14
Let c(b) = 16*b**2 - 4*b - 2. Let r = 355 - 197. Calculate the remainder when r is divided by c(2).
50
Let l(k) = -k**3 - 4*k**2 - 8*k - 10. Let t be l(-3). Suppose t*q = -5*q + 490. What is the remainder when q is divided by 11?
5
Let r(i) be the first derivative of -i**4/4 - 9*i**3 + 14*i**2 + 37*i - 344. Suppose 3*n - 8*n = -100. Calculate the remainder when r(-28) is divided by n.
17
Let x be 2/3 + 16/(-6). Suppose 0 = -7*j - 317 + 107. Let a = x - j. What is the remainder when 137 is divided by a?
25
Suppose 33*n + 2*q = 30*n + 2091, 16*n - 11169 = -5*q. What is the remainder when n is divided by 118?
109
Let s be (-2)/(1 - 3) - -1. Let k(p) = 47*p + 21. Calculate the remainder when k(s) is divided by 17.
13
Let f(l) = 2*l**3 - 9*l**2 + 7*l + 4. Let g be f(6). Suppose 0 = -13*w - g + 791. Let x = w + -31. What is the remainder when 123 is divided by x?
15
Let z(y) = -y**3 + 17*y**2 - 33*y - 81. What is the remainder when 567 is divided by z(9)?
27
Let h(o) = 6*o + 22. Let a be h(-5). Let y = 28 + a. What is the remainder when 39 is divided by y?
19
Suppose 4*y - 107 = j, 135 = 5*y - j - 0*j. Calculate the remainder when y is divided by (109662/8952)/(19/12 + -1).
7
Suppose -p - 371*q + 372*q = -798, 5*q - 780 = -p. What is the remainder when p is divided by 114?
111
Suppose 9*a - 3*a + 0*a = 0. Suppose 0 = o + 2*y - 13, 5*y = o - a*y - 27. What is the remainder when (5 - 1)/(((-5)/1)/(-55)) is divided by o?
10
Let o be ((-9)/(-3))/1*3. Suppose -o*u - 13 = -4. What is the remainder when u - (-4 - 58)*(-1)/(-2) is divided by 8?
6
Let s(x) = 8*x**2 + 49*x + 250. What is the remainder when s(-11) is divided by 138?
127
Let x be (44/6)/(12/9 + -2). Let i = x + 13. Suppose t + 6 = a - 5, 2*a - 10 = -i*t. What is the remainder when 22 is divided by a?
6
Let z(h) = 12*h**2 - 852*h + 5079. What is the remainder when z(6) is divided by 74?
29
Calculate the remainder when (-7 + 9420/5)*5/5 is divided by 10.
7
Suppose -10689 = 6*j - 19*j - 3539. Calculate the remainder when j is divided by 265.
20
Suppose -34 = -14*t + 372. What is the remainder when 591 is divided by t?
11
Let a(p) = p**3 - 9*p**2 + 2*p - 1. Let m be a(5). Let y be (-26)/m - (-19)/7. Suppose -8*q = -y*q - 20. Calculate the remainder when 12 is divided by q.
0
Let d(o) = -o**3 + 11*o**2 - 18*o + 24. Let g be (-330)/(-48) + -1 - 1/(-8). What is the remainder when d(g) is divided by 29?
9
Let n = 509 - 498. Calculate the remainder when 800 is divided by n.
8
Suppose -2*t - 5*p + 61 = -114, t - 65 = 5*p. Suppose -6*i + 106 + t = 0. What is the remainder when i is divided by -6*(160/15)/(-8)?
7
Suppose j + 3*w - 228 = 73, -4*j + 1193 = w. Suppose -283 = -4*k + m, 0*k - 2*m + j = 4*k. Let x = -33 + 48. Calculate the remainder when k is divided by x.
12
Let i(t) = t**3 - 3*t**2 - t - 9. Let h be i(8). Suppose -4*q = -7*q + h. Calculate the remainder when q is divided by 1/((45/65)/9).
10
Let d = -54 - -95. Suppose 4*p + p = 0, -3*p = -5*h + 870. Let