pose 4*l = -2*l. Let p be (-2 + l + 3)/(1 + -2). Let q(y) = -20*y**3 - 2*y**2. Calculate the remainder when 71 is divided by q(p).
17
Suppose a - 2*w - 40 = -a, 4*a = 5*w + 79. Calculate the remainder when 2 + 1222/6 - (-125)/(-75) is divided by a.
15
Suppose 3*q - 3*z = 51, -4*q - 318*z = -314*z - 12. Calculate the remainder when 2628 is divided by q.
8
Let j be (-12)/(-9)*(-3 - 3/2). What is the remainder when 131 is divided by (-10)/(-60) + (-263)/j?
43
Suppose 1545 = p + 2*b, -6171 = -4*p - b + 2*b. Calculate the remainder when p is divided by 59.
9
Let w = -2910 - -2906. Let o(n) be the third derivative of -n**5/60 - 7*n**4/24 - 3*n**3/2 + 2*n**2. Calculate the remainder when 32 is divided by o(w).
2
Suppose 7*k - 4*k + 120 = 0. Let d = 46 + k. What is the remainder when 692/8 + 3/d is divided by 30?
27
Let w = -7654 + 7733. What is the remainder when 489 is divided by w?
15
Let v(r) = r - 4. Suppose 18 = 4*h - 2*h. Let j = -117 - -119. Calculate the remainder when v(h) is divided by j.
1
Suppose 2*c + 2 = 0, -y - 26*c + 210 = -24*c. Calculate the remainder when y is divided by 81.
50
Let l = -3959 + 6127. Calculate the remainder when l is divided by 31.
29
Let u = -435 - -761. Suppose -594 - u = -23*n. Let x(h) = h**2 + 3*h + 3. What is the remainder when n is divided by x(-6)?
19
Let i be ((-12)/2)/((-2)/2). Suppose 0 = c - i*c + 110. What is the remainder when (4880/46360)/(1/817) is divided by c?
20
Calculate the remainder when 218 is divided by ((-1)/((-6)/(-8)))/(476/(-2142)).
2
Suppose -5*t + 7 - 2 = 0. Suppose 0 = 2*u + 3*m + 9, 5*u = -4*m - 4 - t. Let y(l) = l**3 - 3*l**2 + 10*l + 4. What is the remainder when 101 is divided by y(u)?
33
Calculate the remainder when ((-141472)/(-12))/((-112)/(-168)) is divided by 24.
20
Let c(q) = 2*q**3 + 233*q**2 + 339*q - 417. What is the remainder when c(-115) is divided by 52?
13
Let d = -69 + 177. Suppose -4*u + 137 = 5*f, 0 = 5*u - 5*f - 97 - d. Calculate the remainder when u is divided by 5.
3
Let w be (-2)/12 - (-772)/24. Suppose m + 3*y = 37, m = 5*y + w + 45. Let k = m - 0. Calculate the remainder when k is divided by 18.
16
Let z = 440 - 414. Suppose 0 = 5*x - z + 1. What is the remainder when 143 is divided by x?
3
Let n(q) = q**3 + 90*q**2 + 95*q + 586. Calculate the remainder when 207 is divided by n(-89).
51
Let o(u) = -6*u - 74. What is the remainder when 1223 is divided by o(-42)?
155
Let v = 67 + -59. Let h be 6/v - (-9)/4. Suppose h*m = m - 4*q + 28, -2*m = q - 25. What is the remainder when m is divided by 8?
4
Let z = 794 + -769. Suppose -2*g + z = 23*g. What is the remainder when 4 is divided by g?
0
Suppose 4*i = 5*g - 8437, 17*i = 14*i - 9. Calculate the remainder when g is divided by 39.
8
Let y = -197 - -328. Let u = y - -6. What is the remainder when u is divided by (-1)/((-20)/8) - 173/(-5)?
32
Let m be 554/8 - (-64)/(-256). Let b = -65 + m. Let j(c) = -3*c - 5. What is the remainder when j(-6) is divided by b?
1
Let c be 6/(288/4746) + 4/32. Let z = c - 55. Calculate the remainder when z is divided by 17.
10
Let q(a) = 0*a**2 - 2 - a**2 - 8*a + 7 + a. Let b be q(-7). Suppose 0 = -b*w + 13 + 7. What is the remainder when 22 is divided by w?
2
Suppose 17718 + 7969 = 748*y - 25177. What is the remainder when 0 - ((-1 - -3) + -477) is divided by y?
67
Let x(q) = -2*q**2 + 86*q + 222. What is the remainder when x(40) is divided by 153?
3
Suppose 0 = -13*i + 789 - 100. Suppose u = -2*k + 19, 2*u - i = 4*k - 5*k. What is the remainder when u is divided by 9?
2
Let v be (-2)/((-2)/(-2) - (-48)/(-36)). Let q(p) = -p**3 + 10*p**2 - 16*p + 15. What is the remainder when q(v) is divided by 13?
11
Let p(l) = 2*l**2 + 4*l - 67. Let s be p(8). Suppose -90*q = -s*q + 60. What is the remainder when 138 is divided by q?
18
Suppose 4*j + 1482 = -p + 1780, -3*p = 5*j - 369. What is the remainder when j is divided by 28?
19
Let y = 17657 + -17654. What is the remainder when 4223 is divided by y?
2
Let o be 150/(-125)*(-1 - 14). Calculate the remainder when (-5715)/o*(0 - 6/3) is divided by 53.
52
Suppose -21*i + 18*i + 78 = 0. Suppose i - 5 = w. Let b(o) = o**3 - 15*o**2 + 14*o + 11. Calculate the remainder when w is divided by b(14).
10
Let n(k) = -23*k**3 + 5*k**2 - 29*k - 80. What is the remainder when n(-3) is divided by 191?
100
Let f = -388 - -390. Let n(z) = z**3 - 8*z**2 - 10*z + 13. Calculate the remainder when (228/57)/(2*f/8) is divided by n(9).
0
Suppose -2*v = 2*t - 54, 0*v - 4*t = -2*v + 84. Suppose -2*i - 1740 = -8*g, 5*g + i + 55 = 1138. Calculate the remainder when g is divided by v.
25
Suppose p = -17 + 78. Suppose 2*j - 4*r - 7 - p = 0, -2*j - r + 88 = 0. Calculate the remainder when 68 is divided by j.
26
Suppose 0 = -6*r - 51 + 561. Suppose 4*x - 167 = r. What is the remainder when x is divided by 17?
12
Suppose -4*d - 18*x = -598, 4*d + 769*x = 770*x + 693. What is the remainder when 392 is divided by d?
48
Let v = -20 - -18. Let m be 4 - v/((-8)/4). Suppose -m*r = -17 + 8. Calculate the remainder when 3 is divided by r.
0
Let a = 202 - 365. Let g = a - -266. What is the remainder when g is divided by 7?
5
Suppose 19*s = 17*s - 140. Let g = -84 - s. Let i(a) = -2*a**2 - 31*a - 18. What is the remainder when i(g) is divided by 9?
6
Suppose n = 0, 14*y - 4*n = -19*y + 30*y + 195. What is the remainder when 251 is divided by y?
56
Suppose 2*s = -3*q - 44 + 226, 3*s - 260 = 2*q. Let f = 94 + -89. Calculate the remainder when s is divided by (f/(-15) + (-10)/(-12))*26.
10
Suppose 3*o + 5*d = -3 - 3, o - 3*d - 12 = 0. Suppose -t - 5*w + 5 + 14 = 0, -o*t + w = -41. Calculate the remainder when t is divided by 9.
5
Let x(i) = i**3 + i**2 - 36*i - 46. Let u be x(-10). Let f = u + 640. What is the remainder when 262 is divided by f?
46
Let a(h) = -h**2 - 17*h - 31. Let k be a(-17). Suppose 3*p - 174 = -0*p. What is the remainder when p is divided by (k/4)/(-3*10/120)?
27
Let l be -5 - 24/(-5 - -2). Suppose 5*h = 2*w + 205, 2*h + l*w = -2*h + 141. What is the remainder when 170 is divided by h?
14
What is the remainder when 521 is divided by ((-36)/45)/((-4)/20)?
1
Suppose -128*q - 66320 + 166160 = 0. What is the remainder when q is divided by 88?
76
Suppose -i = -5, 3*w - 26452 = -3*i + 4*i. What is the remainder when w is divided by 35?
34
Suppose -v + 8*v = 3192. Suppose -24*s - v = -30*s. What is the remainder when s is divided by 26?
24
Let g = 14 + -6. Suppose -g*c - 14 = -c. Calculate the remainder when 147 is divided by (1/3)/(4/(-888)*c).
36
Let i(o) = -17*o**2 + 72*o + 4. Let l = -4 - -8. Suppose l = -h + 35. What is the remainder when h is divided by i(4)?
11
Let o = 24 - 24. Let p = 29 - o. Let s = p - 20. Calculate the remainder when s is divided by 6.
3
Let n be ((-24186)/(-261))/((-2)/(-12)). Let b = n + -320. What is the remainder when b is divided by 79?
78
Let z be 12/28 + (-2 - 39/(-7)). Suppose -3*x - 118 = -6*x + z*d, 0 = 5*x + 3*d - 245. Calculate the remainder when x is divided by 6/(10/(-45) + 31/18).
2
Let b be (5/(20/336))/(2/4). Suppose -b = 20*v - 27*v. Let x = -54 - -114. Calculate the remainder when x is divided by v.
12
Let h(b) = b**3 + 5*b**2 + 5*b + 9. Let t be h(-4). Suppose -5*z + n = -162, -t*z + 161 = 2*n + 5. What is the remainder when z is divided by 12?
8
Suppose 3083 = 2*j + 3055. What is the remainder when 260 is divided by j?
8
Let q(d) = 8*d - 8. Let k be q(2). Let y(s) = s**2 - 8*s - 6. Let b be y(k). Calculate the remainder when 38 is divided by b*-8*(-3)/(-18).
6
What is the remainder when (232/(-32) - -9)*260 is divided by 393?
62
Suppose -18 = -7*r + 73. Suppose -m - 4*d = -3*d - r, 0 = -m + 5*d + 7. What is the remainder when (0 - 20)*(-147)/84 is divided by m?
11
Let q = -38 - -25. Let s = 13 + q. Suppose 3*b + 0*b - 2*f - 142 = s, -f = b - 44. Calculate the remainder when b is divided by 16.
14
Let t = 41482 - 41386. What is the remainder when 243 is divided by t?
51
Let d(q) = q + 28. Let o be d(0). Suppose 4*v + x - 28 = o, 5*v - 95 = 5*x. Calculate the remainder when 42 is divided by v.
12
Let n(d) = -3*d - 2. Calculate the remainder when n(-2) is divided by 145 + -90 - (51 + 3).
0
Suppose -3*z - 36 = -z. Let f be (2/(-5))/(z/270). Suppose 0 = l - f*l + 35. Calculate the remainder when 25 is divided by l.
4
Let n(g) =