 the first derivative of 2*c**3/3 + c**2/2 + 2*c - 45. Calculate the remainder when p(-5) is divided by 37.
10
Let f(g) = -g**2 + 8*g - 8. Let i be f(6). Let o be (9/(-2))/((-2)/i). Suppose -o*d + 36 = -72. What is the remainder when 33 is divided by d?
9
Calculate the remainder when ((-13)/1 - -10)*((-21896)/12 + 3) is divided by 1365.
5
Let j be (56/42)/((-2)/(-3)). Calculate the remainder when 65 is divided by ((-1)/(40/(-48)))/(j/10).
5
Let d(x) = 876*x**2 - 64*x - 63. Calculate the remainder when d(-1) is divided by 147.
142
Let s(u) = u**2 - 3*u - 6. Suppose 3*z - 508 = -z + 2*m, -3*m = -2*z + 246. Let t = 238 - z. What is the remainder when t is divided by s(7)?
21
Suppose 4*s + 412 = -3*i, -7*i = -3*i + 16. Let b = 56 + s. Let k = -18 - b. Calculate the remainder when 101 is divided by k.
23
Let z(y) = -61*y - 1. Let u(n) = 5*n - 63. Let d = -89 + 109. What is the remainder when z(-3) is divided by u(d)?
34
Suppose -2*h + 11 = -13. Suppose -17*u = -h*u - 15. Suppose 5*a = -3*o + 36, 0 = -u*o + 2*o - a + 10. Calculate the remainder when 8 is divided by o.
1
Suppose 3*j = -4*t + 616, 4*j + t - 4*t - 813 = 0. Calculate the remainder when 799 is divided by j.
187
Suppose -2*w = h - 15, -4*w + 2*h = -0*h - 26. Suppose 305 = w*u - 12*u. Let d = u + 65. Calculate the remainder when 42 is divided by d.
2
Let i(r) = 4*r**2 + 26*r + 44. Let n be i(-5). Let h = 46 - 67. What is the remainder when (-164)/6*h/n is divided by 9?
5
Let c(y) = -4*y**2 - 42*y + 26. Let f be c(-11). Suppose 2*u = u - 4*q + 32, -q = f*u - 68. What is the remainder when 399 is divided by u?
15
What is the remainder when 267 is divided by 45/120 + 437/8?
47
Let a = 192 - 191. Let k(y) = 64*y + 2. What is the remainder when k(a) is divided by 17?
15
Suppose 18*n - 1194 = -492. Let l = 59 + -18. Suppose m = -l + 52. Calculate the remainder when n is divided by m.
6
Suppose -499*a - 285 = -514*a. Calculate the remainder when 759 is divided by a.
18
Let a = -2 - 1. Let c(v) = -v**2 - 3*v + 4. Suppose 39*j = 30*j + 40*j - 62. What is the remainder when c(a) is divided by j?
0
Suppose 2*q - 5*v - 37 = 0, q + 2*v + 173 = 205. What is the remainder when 165 is divided by q?
9
Calculate the remainder when 2615 + -1 + (16 - 33) is divided by 13.
10
Let u(m) = m**2 - 4*m - 2. Let o = -156 + 162. Calculate the remainder when (-4)/(-6) + 440/o is divided by u(7).
17
Let i = -10 + 12. Let t(q) = -q**3 - 6*q**2 - q + 6. Let b be t(-6). Suppose -b*c = 2*c - 56. Calculate the remainder when c is divided by i.
0
Let t = -23101 - -25865. Calculate the remainder when t is divided by 50.
14
Let s = -5 + 38. Let m = s + -4. Let a(o) = o**3 + o**2 + 6*o - 7. Calculate the remainder when m is divided by a(2).
12
Let m(l) = -l**3 - 9*l**2 - 8*l + 8. Let z be m(-8). Suppose 3*g - 175 = z*g. Let p = 22 - g. What is the remainder when p is divided by 20?
17
Let g = 6300 - 6150. What is the remainder when 568 is divided by g?
118
Let k = -22 + 22. Suppose 0 = 5*f - 2*u - 40, -3*u + 0*u = k. Calculate the remainder when f is divided by -1 - ((3 - 3) + -2).
0
Suppose -105*k + 14440 = -22*k - 38597. What is the remainder when k is divided by 43?
37
What is the remainder when (-4)/20 + (-45551)/(-205) is divided by 60?
42
Suppose 0 = 2*a + 476 + 56. Let k = -221 - a. Calculate the remainder when 178 is divided by k.
43
Let g(h) = 3*h**2 + 31*h + 66. Calculate the remainder when -6 + 354 + 5 + -1 - 1 is divided by g(-11).
87
Let y(p) = -26*p + 11. Let l be y(4). Let j = 102 + l. Let u = 6 + 35. What is the remainder when u is divided by j?
5
Let z(u) = u**2 + 28*u + 1. Let o be z(-18). Let a = o + 296. Calculate the remainder when a is divided by 14/(-21) + (-148)/(-6).
21
Let s = -3179 - -3371. Calculate the remainder when 399 is divided by s.
15
Let d(q) = -q**3 + 381*q**2 + 101. What is the remainder when 886 is divided by d(0)?
78
Let a(k) = -2*k**3 + 33*k**2 + 18*k - 22. What is the remainder when a(16) is divided by 7?
4
Let m = 639 + -431. Suppose -2*y = 4*o - 128, -3*o + 6*o = -3*y + 201. What is the remainder when m is divided by y?
68
Let h = -242 + 697. Let f = h - 429. Calculate the remainder when f is divided by 5.
1
Let f = 50 - 45. Suppose 3*r = f*r - 34. Suppose 5*q + 12 + r = 3*t, -2*t = 2*q - 46. Calculate the remainder when t is divided by 7.
4
What is the remainder when ((-304)/(-95))/((-3)/(-765)) is divided by 7?
4
Let i(y) = 27*y - 38. Let w be i(3). Suppose 0 = -t + 4*g + 11 + w, 2*t + 4*g = 96. What is the remainder when 247 is divided by t?
47
Calculate the remainder when 17/17*6 - 1269/(-1) is divided by 423.
6
Suppose 4*u + 647 = 27. Let p = -113 - u. Suppose -5*c + 18 = -p. What is the remainder when 13 is divided by c?
1
Let g = -13385 - -13523. What is the remainder when 998 is divided by g?
32
Suppose 4*j - 8*j = 3*f - 501, -2*f = -3*j + 363. Calculate the remainder when j is divided by 1.
0
Suppose -3*z + 33 = 3*g, 6 + 2 = -2*g + 4*z. Suppose p = 2*u - 20, g*u - 10*u = 4*p - 52. What is the remainder when 72 is divided by u?
6
Suppose 10*p = 18632 + 2748. Calculate the remainder when p is divided by 93.
92
Let y(o) = -o**3 + 5*o**2 + 10*o - 4. Let s be y(6). Suppose s*h - 18*h = 372. What is the remainder when h is divided by 34?
16
Suppose 3*z - 186 = 20*n - 23*n, 98 = n - 5*z. Calculate the remainder when 471 is divided by n.
63
Suppose 0 = -s - 5*x + 5, x - 3 = -0*x. Calculate the remainder when 273 is divided by (-10)/(-25) + (-106)/s.
9
Let p = -2323 - -4906. Calculate the remainder when p is divided by 24.
15
Suppose 9*x - 5*x - 644 = -k, -x - 4*k = -176. Suppose -4*a + x = -52. Calculate the remainder when a is divided by 18.
17
Let a = 236 + -122. Let u = a + -60. Calculate the remainder when u is divided by 7.
5
Suppose -15*t + 67 - 7 = 0. Suppose -4 = 2*i - 3*i. Suppose -4*k = -5*k + 3*w + t, i*k - 55 = -w. What is the remainder when 35 is divided by k?
9
Let t = 4634 - 4526. Calculate the remainder when t is divided by 93.
15
Let p(u) = -u**2 + 18*u + 20. Let l(c) = -c**3 + 13*c**2 - 9*c - 10. What is the remainder when p(14) is divided by l(12)?
24
Suppose -2*d = 6, 4*c - 15 = 5*d + 16. What is the remainder when 57 is divided by 0/(20/c) + 6?
3
Suppose 0 = 20*u + 722 + 659 - 1561. What is the remainder when 5216 is divided by u?
5
Suppose 0 = 3*k - 114*k + 25197. Calculate the remainder when 5219 is divided by k.
225
Suppose 0 = -u + 3*u - 4. Suppose 6*t - u*t = 36. Suppose t = 4*i - 67. What is the remainder when 73 is divided by i?
16
Let n = -13113 - -14637. Calculate the remainder when n is divided by 108.
12
Let j(t) = -2*t**3 + 2*t**2 + 3*t + 2. Let h be 1 + (1 - 0) - 460. Let w = -420 - h. What is the remainder when j(-4) is divided by w?
36
Suppose -14*d + 11*d + 4*a = -489, 652 = 4*d - 4*a. What is the remainder when 3092 is divided by d?
158
Suppose -2896*q - 819 = -2917*q. Calculate the remainder when 120 is divided by q.
3
Suppose 819 = 24*y - 117. Let w(i) = 23*i - 8. What is the remainder when w(7) is divided by y?
36
Suppose 0 = -14*y + 3404 + 2308. Suppose -4*z + 4*k = y, -k - 5 - 190 = 2*z. What is the remainder when 13 is divided by z/(-27) - 6/9?
1
Let g be 2*37/(-2)*6/3. Let j = -59 - g. What is the remainder when j is divided by (-4)/2 + (-11)/(-1)?
6
Suppose m + 3 = -0. Let s be (m + 7)*15/12. Suppose 0 = 2*j + s*o - 62, 3*o + o + 96 = 4*j. Calculate the remainder when 76 is divided by j.
24
Let k(o) = -435*o + 12. Let l be k(-2). Suppose -27*s - 15*s = -l. Calculate the remainder when 1028 is divided by s.
20
Suppose 0 = 9*w - 4*w - 4*s - 1960, 4*w + 3*s = 1537. Let l = -216 + w. What is the remainder when l is divided by 35?
32
Let n = -5 + 7. Suppose n*s = -0*s, -4*b + 68 = s. Suppose 3*x - 104 = 5*a + 33, 3*x = -a + 149. Calculate the remainder when x is divided by b.
15
Let t(s) = s**3 - 2*s**2 - 6*s + 25. What is the remainder when 15/(-1 + (-3)/(-2)) is divided by t(2)?
4
Let z(g) = -g**3 + 12*g**2 - 10*g - 16. Let s be z(11). Let n(j) = -2*j - 13. Let d be n(s). Calculate the remainder when -10*(0 - 17/d)*-3 is divided by 44.
38
Let l be (373 - (-2 + -1)) + 3. Let x = l - 349. Calculate the remainder when 55 is divided by x.
25
Suppose 2*l + 4347 + 687 = d, 6*d - 4*l - 30212 = 0. Calculate the remainder when d is divided by 14