6
Let t(k) be the first derivative of 22*k**3/3 + k + 3. Let o = -170 + 282. Calculate the remainder when o is divided by t(-1).
20
Suppose -3*o + 8*c = 9*c - 1147, 3*c + 379 = o. Suppose 16*p + 254 = o. What is the remainder when 110 is divided by p?
6
Let p be -1 + 2/1 + -2. Let z = p + -9. Calculate the remainder when 40 is divided by 8*1 - (-10)/z.
5
Let m(z) = 7*z**3 - 56*z**2 - 13*z + 56. What is the remainder when m(9) is divided by 241?
24
Suppose -16*i - 2*i - 5*i = -10879. Calculate the remainder when i is divided by 34.
31
Let r be 1*7/(28/(-2644)). What is the remainder when 149 is divided by r/(-13) - ((-270)/65 - -4)?
47
Suppose -13 - 15 = -14*y. Suppose -s - 4*d + 3*d + 49 = 0, y*d = -3*s + 142. Let c = 28 - 12. Calculate the remainder when s is divided by c.
12
What is the remainder when 1628 is divided by (8/(-6))/(9/1296*-8)?
20
Let r be -5 - (-8 - (-3 + 3)). Suppose 5*m = -5, 0*l - r*l - m = -83. Calculate the remainder when 51 is divided by l.
23
Suppose -2*i - 3*c + 6 = 0, -4*i = c + 12 - 34. Calculate the remainder when 5 is divided by 8 + -10 + i + 0.
1
Suppose -19*c - 17763 + 38804 = -49240. What is the remainder when c is divided by 47?
33
Let q(z) = 2*z**3 - 9*z**2 + 32*z - 282. Calculate the remainder when 2985 is divided by q(6).
15
Let w = -68 + 26. Let u = 61 + w. Let m(r) = -26*r + 210. Calculate the remainder when m(6) is divided by u.
16
Suppose 55*o - 2910 = 5395. Calculate the remainder when o is divided by 40.
31
Let h = 245 - -3209. What is the remainder when h is divided by 36?
34
Let z(y) = y**3 - 2*y**2 + y + 1. Let q be z(2). Let i(c) = 4*c + 9*c + 3*c**2 - c**2 - q*c - 24. What is the remainder when i(4) is divided by 28?
20
Suppose 180 = 4*l - 0*l. Calculate the remainder when 215/(-6)*564/(-235) is divided by l.
41
Let r(c) = c**2 - 13*c + 26. Let w be -3*(-27)/5 + 40/50. What is the remainder when r(w) is divided by 20?
14
Let p = 30 + -15. Suppose -43*q - 7*q + 14100 = 0. Calculate the remainder when q is divided by p.
12
Let r(w) = 239*w - 1881. What is the remainder when 722 is divided by r(8)?
9
Calculate the remainder when (-14067)/(-54) - 27 - 2/(-8)*-6 is divided by 13.
11
Let p = 0 - 174. Let v = p - -121. Let z = v - -68. What is the remainder when 69 is divided by z?
9
Let i(k) = -38*k**2 - 272*k - 29. What is the remainder when 486 is divided by i(-7)?
5
Suppose 5*w + 143 = f, 5*f - 1011 = 3*w - 362. Calculate the remainder when f is divided by 19.
14
Suppose 4*m + 8 = 0, 1388*q - 1391*q + 17 = 5*m. What is the remainder when 32 is divided by q?
5
Suppose -37*l + 40*l - 35 = 4*o, -l - 13*o = -69. What is the remainder when 422 is divided by l?
14
Let a = 26336 - 25315. Calculate the remainder when 3071 is divided by a.
8
Let b = 10683 + -7581. What is the remainder when b is divided by 207?
204
Suppose 5*s - r + 1152 = 6825, -2290 = -2*s + 3*r. Calculate the remainder when s is divided by 7.
6
What is the remainder when (8052/61)/(4/94) is divided by 115?
112
Let q(p) = p**3 + 27*p**2 - 20*p - 283. Calculate the remainder when 1003 is divided by q(-27).
232
Suppose 6294 = -558*u + 23935 + 9143. What is the remainder when 322 is divided by u?
34
Let u = -36 + 81. Let q = -22 + u. Calculate the remainder when (-482 - -535) + (-10 - -12) + 10/(-1) is divided by q.
22
Suppose 4*h = -3*m + 360, -5*m + 0*m - 3*h + 600 = 0. What is the remainder when 5676/m - 6/20 is divided by 6?
5
Suppose d - 933 = -4*d - 4*r, -3*d = -r - 570. What is the remainder when d is divided by 105?
84
Let u = 178 - -107. Suppose -5*l + 63 = c + 56, -10 = -c - 4*l. Calculate the remainder when u is divided by c.
21
Let b(p) = 6*p + 12. Let l be b(-2). Let s be 17 - 4/(-12)*l. Suppose 4*d = -5*r + 37, s + 13 = 3*r + 5*d. What is the remainder when 13 is divided by r?
3
Suppose -5*j - 7*j + 30 = -126. Calculate the remainder when 198 is divided by j.
3
Suppose 136*j + 5825 - 119407 = 38*j. What is the remainder when j is divided by 250?
159
Let o = 18492 + -18409. Calculate the remainder when 2070 is divided by o.
78
Let f = -2868 + 3008. Calculate the remainder when 8679 is divided by f.
139
Let n be -1 + 47 + 3 + -4. Suppose 3 = 6*x - n. Let o(i) = 3*i**3 - 24*i**2 + 5*i - 10. Calculate the remainder when o(8) is divided by x.
6
Suppose -5*q + 2 = -4*h - 9, -3*h = -2*q + 3. Suppose -2*a = -q*z - 208, 0 = 3*a - 3*z + 3 - 321. Let i = 129 - a. What is the remainder when i is divided by 6?
1
Suppose 3*v - 10 = -3*g + 2*g, 50 = 5*g + 5*v. Suppose 5*q = 4*n + 900, 167 = q + 4*n + 11. Calculate the remainder when q is divided by g.
6
Suppose 412*g - 2866 = 430. What is the remainder when (83*-1)/(-1) - -1 is divided by g?
4
What is the remainder when ((-258)/4)/((-1881)/304 - -6) is divided by 127?
90
Suppose -2*f - 44 = 22. Let i = 56 + f. Suppose -3*a - 4*t + 16 = -51, 2*t - i = -a. Calculate the remainder when a is divided by 8.
5
Let g(h) = -h**3 + 21*h**2 - 7*h + 25. What is the remainder when g(17) is divided by 15?
12
Suppose 2*u + 3*d - 131 = 211, 2*u = 2*d + 352. What is the remainder when u is divided by 116?
58
Let c = 9 + -6. Suppose -11*z = -c*z - 296. Let q(w) = -w**3 + 6*w**2 + 2*w - 6. What is the remainder when q(-4) is divided by z?
35
Let b = 126 + -119. What is the remainder when (17 - (10 + 4)) + (-14)/(-1) is divided by b?
3
Let s(h) = 2*h**2 - 14*h - 57. Suppose 0 = 4*k - 11*k + 84. What is the remainder when s(11) is divided by k?
7
Let t(y) = y**3 + 12*y**2 + y + 11. Let p be t(-11). Let g = p + -90. Let v(i) = -88*i**3 + 2*i**2 + 2*i + 1. What is the remainder when v(-1) is divided by g?
27
Let n = -15 - 45. Let v = n + 104. Calculate the remainder when 63 is divided by (1/(-4) - (-11)/v) + 17.
12
Let o = -378 - -407. Let t(u) = u**3 + 5*u**2 + u - 5. Calculate the remainder when (58/o)/((-2)/(-32)) is divided by t(-4).
4
Let v = -902 - -3158. Let u = 65 - 43. Calculate the remainder when 2/9 - (v/(-54) - 0) is divided by u.
20
Let n(d) be the third derivative of d**5/10 + 13*d**4/24 + 7*d**3/2 - 81*d**2. What is the remainder when n(-2) is divided by 10?
9
Suppose 20*m - 6*m + 8*m = 396. Calculate the remainder when 1122 is divided by m.
6
Suppose -744 - 841 = 5*a. Let r = a + 333. Calculate the remainder when 60 is divided by r.
12
Let v be -32 - 5 - -4 - (-1 + 2). Let x be (-31 - v)*((-1)/(-3) - -1). Suppose -24 + 12 = -x*b. Calculate the remainder when 17 is divided by b.
2
Let x = 98 + -50. Suppose 949 - 221 = 2*k. Let z = -221 + k. What is the remainder when z is divided by x?
47
Let s be 9686/9 + 20/(-90). Let d be 6 + (-20)/5 + s. Calculate the remainder when 76 is divided by (-1)/3 + d/66.
12
Let x(s) = -7*s**2 + 2*s**2 + 7 - s**3 - 21*s + 5*s**2 + 11*s**2. What is the remainder when x(7) is divided by 18?
2
Let d be 30/(-1)*(3 + -8 + 6). Let n = 48 + d. Let u = -21 - -73. What is the remainder when u is divided by n?
16
Let y = 112 + 506. Let g = y + -568. Calculate the remainder when g is divided by 21.
8
Suppose -22*i + 9*i = 0. Calculate the remainder when (1 - i) + 12*(-351)/(-52) is divided by 43.
39
What is the remainder when (-4)/3 + (53 - 49)/(6/3617) is divided by 19?
16
Let p = -354 - -588. Let z = 248 - p. Calculate the remainder when 111 is divided by z.
13
Let v(g) = g**3 + 41*g + 6*g**2 - 764 + 756 - 25*g**2. Calculate the remainder when v(17) is divided by 13.
7
Let l(g) = 2*g**2 - 16*g + 30. Let k(u) = 2*u**2 + 2*u + 1. Let m(v) = k(v) + l(v). Calculate the remainder when m(7) is divided by 66.
63
Suppose 182 = 2*z - 118. Let y(l) = 2*l**2 - 158*l - 6527. Calculate the remainder when z is divided by y(-30).
7
What is the remainder when (-763)/(-21) - (-2)/(-6) is divided by (1 + 1)*1/(-3)*-15?
6
Let n(a) = 4*a - 36. Let j be n(7). Let r(c) = 2*c**2 + 8*c - 25. Let h(q) = q + 22. What is the remainder when r(j) is divided by h(-8)?
11
Suppose -3*y + 9 = 4*b, 0 = 33*y - 37*y - 4. Suppose 3*l = i + 141, -b*l + 5*i = -136 - 5. What is the remainder when 179 is divided by l?
38
Let p(j) = -1003*j - 55. Calculate the remainder when p(-3) is divided by 51.
47
Let n be (9/6)/(-4*(-4)/(-320)). Calculate the remainder when 65 is divided by -9 + (-290)/n + (-98)/(-6).
14
Let m(f) = f**2 - 5*f + 1. Let n be m(6). Suppose 0*q = -n*q + 2030. Suppose -q = -37*l + 32*l. What is the re