/(-220).
10
Let i(u) be the first derivative of 2*u**3/3 - u**2 + 14*u - 6. Let d = 81 + -88. What is the remainder when i(d) is divided by 32?
30
Suppose -3*f + g + 4134 = 6*g, 0 = 4*g - 12. What is the remainder when f is divided by 21?
8
Suppose 5*j = -2*l + 30, -11 = -2*j + 2*l - 13. Suppose -j*d - 98 = -2*p, -25*d + 28*d - 6 = 0. Calculate the remainder when p is divided by 14.
11
Suppose 402 = 6*d + 1020. Let t = -44 - d. What is the remainder when 110 is divided by t?
51
Suppose 5*j + 3*f = 56, -5*j - 9*f + 7*f + 54 = 0. Suppose -67 - 73 = -j*c. What is the remainder when (-994)/(-8) - 2/8 is divided by c?
12
Suppose 2*n = -2*r + 6*n + 94, -5*r - n + 224 = 0. Let f = 14056 - 13879. Calculate the remainder when f is divided by r.
42
Let u(t) = -t**3 + 15*t**2 + 34*t + 4. Let s be u(17). Suppose s = -f, -5*f = 4*r - 1060 + 20. Calculate the remainder when r is divided by 54.
49
Let f = 1170 - 1127. Calculate the remainder when 275 is divided by f.
17
Calculate the remainder when 1 + 176 + 0/((-190)/19) is divided by 39.
21
Let t = -266 + 657. Calculate the remainder when t is divided by 139.
113
Suppose 9 = 4*k - 3. Let x be ((-50)/k - -4)/((-6)/(-27)). Calculate the remainder when x*3/((-36)/76) is divided by 52.
49
Suppose 94*r - 92*r + 7*b = 353, -r - 5*b + 181 = 0. What is the remainder when 296 is divided by r?
130
Suppose -3*v + 11 = -3*z - 46, 57 = 3*v + 5*z. What is the remainder when (-9)/(-6) + (-131)/(-2) is divided by v?
10
Let r be (197/(-4))/(2/(-16)). Suppose -29 = -9*i + r. Calculate the remainder when i is divided by 2.
1
Let l(v) = 47*v + 1149. What is the remainder when l(-18) is divided by 31?
24
Let u(k) = 20*k - 37. Let i be u(2). Suppose -n + 31 = 4*b, -b = -i*b + 10. Calculate the remainder when 320/6 + (-8)/(-12) is divided by n.
10
Suppose 0 = -13*m + 24*m - 2192 + 267. What is the remainder when 2617 is divided by m?
167
Suppose 2*v + 3*d + 6 = -v, -5*d = 4*v + 13. Suppose 2*q = v*u - 58, u + 3*q - 16 = 18. Calculate the remainder when (-6)/(-15) + 624/15 is divided by u.
20
Suppose q + 72 + 270 = 0. Let b = 369 + q. What is the remainder when 129 is divided by b?
21
Let j(z) = 9*z - 1. Calculate the remainder when j(4) is divided by (15/90*80)/(8/(-12)*-1).
15
Suppose -5*n - u - 42 = -8*n, 2*u = -4*n + 66. Calculate the remainder when 72 is divided by n.
12
Let n(v) = v**3 - 49*v**2 - 178*v + 1282. Suppose -d - 188 = -5*d. Calculate the remainder when n(52) is divided by d.
44
Suppose -8 = u - 5*u. Suppose 3*l + 2*k = 8*l - 51, 0 = k - u. Let w = -9193 - -9223. What is the remainder when w is divided by l?
8
Suppose -2*h = 4*a - 670, 635 = 4*a - 0*a - 5*h. Calculate the remainder when a is divided by 35 - 336/(-88)*396/(-72).
11
Let f = -3531 + 5001. What is the remainder when f is divided by 22?
18
Suppose 13*u - 25 = 14*u. Let z = u - -41. Suppose 17*b = z*b + 14. What is the remainder when 53 is divided by b?
11
Let t = -468 + 480. Let f(c) = -c**3 + 14*c**2 - 9*c - 105. What is the remainder when f(t) is divided by 13?
10
Suppose 5*j + 4*m - 1663 = 5408, -5*j + 7051 = -m. Calculate the remainder when j is divided by 5.
1
Suppose -5*i - 10 = -f, -19*i + 5 = -14*i. Suppose 3 = -12*z + f*z, -5*a - 2*z + 132 = 0. What is the remainder when 200 is divided by a?
18
Suppose -633 = -105*m + 1992. Calculate the remainder when 60 is divided by m.
10
Let h(p) = 64*p - 105. Let o be h(6). Let x = o + -91. What is the remainder when x is divided by 21?
20
Calculate the remainder when 352 is divided by 162/(-1701) - 2650/(-42).
37
Let t = 35308 + -35244. What is the remainder when 144 is divided by t?
16
Suppose -2*v + 8*v - 2004 = 0. Let k(f) = -f**3 + 8*f**2 + 23*f - 2. Calculate the remainder when v is divided by k(10).
26
Let j = -41234 - -41259. Let u(b) be the third derivative of b**6/120 + b**5/10 + b**4/6 + b**3/3 - b**2. What is the remainder when j is divided by u(-5)?
4
Suppose 0 = 17*l - 16*l - 280. Let r be -6 + 1 - l/(-28). Suppose -41 = -r*c + 74. Calculate the remainder when 44 is divided by c.
21
Suppose -2*p + 195 + 97 = 0. Let w = 374 + -346. Suppose -152 = -32*x + w*x. Calculate the remainder when p is divided by x.
32
Let n = 89 + -56. Suppose 2*z + z = n. Suppose -z*a = -2*a - 2106. What is the remainder when a is divided by 47?
46
Let p be -1 - (-4 - -216) - (11 - 7). Let l = p - -239. Calculate the remainder when 325 is divided by l.
17
Suppose 0 = 4*g + 3*g + 343. Let z = -26 - g. Calculate the remainder when z*2 + -1 - 0/(-15) is divided by 24.
21
Suppose -6*x + 1222 = 1090. What is the remainder when 771 is divided by x?
1
Let f(p) = p**3 - 3*p**2 + 2*p - 3. Let a = -114 + 118. Let s be f(a). Suppose -7*x = -s - 154. What is the remainder when x is divided by 9?
7
Suppose 0 = 4*t - 3*a - 252, -4*t = 2*a - 132 - 140. Let n be (8/20)/((-1)/5). What is the remainder when 44 is divided by n + -1 + 11/(t/120)?
10
Let a = 673 - 500. Let x be (-2)/(-4)*(-2 + 72). Suppose x = 3*k - 2*k. What is the remainder when a is divided by k?
33
Let h be (-1)/(-6) + (-430)/60. Let m(b) = -b**2 - 14*b - 10. Calculate the remainder when m(h) is divided by 23.
16
Let d = 10286 + -10266. What is the remainder when 973 is divided by d?
13
Let u = 177 - 169. Suppose 171 - 35 = u*z. Calculate the remainder when 101 is divided by z.
16
Let w(k) = -2*k**2 + 83*k - 1. Calculate the remainder when w(6) is divided by 87.
77
Let d = 4099 - 4015. Calculate the remainder when 676 is divided by d.
4
Suppose 6*x = x - k + 552, -5*k - 459 = -4*x. Suppose 0 = 5*t - 4*g - x, -5*t - 61 + 171 = -5*g. Calculate the remainder when 136 is divided by t.
21
Suppose -z - 16*z + 35945 = 48*z. What is the remainder when z is divided by 18?
13
Suppose 5*l - 3*r + 2*r + 1 = 0, 0 = 4*l + 5*r - 5. Suppose l = -11*b + b + 220. Calculate the remainder when 53 is divided by b.
9
Let l(p) be the third derivative of p**4/24 + 31*p**3/3 + 4*p**2 - 2. Calculate the remainder when -6 - -73 - (1 + -1) is divided by l(-39).
21
Let d be 6 + 4 + (-30)/6. Suppose 0 = d*r - 6 - 279. Calculate the remainder when r is divided by 16.
9
Let m = 23 - 9. Calculate the remainder when (684/(-1596))/(1*1*(-4)/308) is divided by m.
5
Let n = 13 - 6. Suppose 0*q - 322 = -n*q. Suppose -41*j - 50 = -q*j. What is the remainder when 34 is divided by j?
4
Suppose -4*a + 8*a - 44 = 0. Suppose a = 5*d - 34. Suppose -2*o + d = o. Calculate the remainder when 8 is divided by o.
2
Let k(m) = 4*m**2 + 40*m + 112. Calculate the remainder when k(-10) is divided by 19.
17
Suppose -o - 4*n + 927 = 0, 20*n + 12 = 18*n. Calculate the remainder when o is divided by 11.
5
Let d = 10811 + -10733. What is the remainder when 230 is divided by d?
74
Let v(z) = -54 - 49 + 3*z + 3*z - 47*z - 2*z. Calculate the remainder when v(-4) is divided by 40.
29
Suppose 3*u + 27 = 5*m + 5, 8 = -u + 2*m. Let q = -36 + 48. What is the remainder when 22 is divided by ((-7)/3)/(u/q)?
1
Let g(k) = 18*k + 30. Calculate the remainder when g(1) is divided by 0/(-2) + 2*(-6)/(-4).
0
Suppose 0 = 10*w - 6*w + 32. Let v be (w - 28/(-4))/((-1)/(-3)). What is the remainder when v*((-2)/(-6) + 56/(-21)) is divided by 2?
1
Suppose 45 - 39 = 6*o. Calculate the remainder when 27 - 8 - (o - -3) is divided by 4.
3
Suppose 21*q = -247*q + 7*q + 148248. What is the remainder when q is divided by 28?
8
Let j(f) = 33*f + 352. Let x be 6 + (-424)/24 + 35/21. Let u = -13 + 21. Calculate the remainder when j(x) is divided by u.
6
Suppose 67*q - 42 = 66*q - 4. Calculate the remainder when 42 is divided by q.
4
Let f(z) = -7*z - 28. Let r(m) = -m + 1. Let p be (-3)/1 + (-3 - -3) + -1. Let b(s) = p*r(s) + f(s). Calculate the remainder when 47 is divided by b(-15).
8
Let n(j) = 232 - 261*j + 509*j - 257*j. Calculate the remainder when 1377 is divided by n(13).
112
Suppose 82 = 4*u + 2*f, 19 = u - f - 6. What is the remainder when 623 is divided by u?
7
Suppose -8928 = -17*d - 7*d. Suppose -d = -36*a + 924. Calculate the remainder when 82 is divided by a.
10
Suppose 5*g + 2*u - 39 = -229, 5*g + 190 = 4*u. What is the remainder when 289*1 - (-46 - g) is divided by 6?
3
Suppose -655*k - 744 = -327*k - 336*k. Calculate the remainder when 369 is divided by k.
90
What is the remainder when (-33)/(-924)*-7 + 10898/8 is divided by 445?
27
