 = -2*h**3 - 18*h**2 + 9*h - 82. What is the remainder when 11449 is divided by p(-10)?
25
Let h(s) = 3*s**2 - 67*s + 27. Let v be h(22). Suppose -41*n + 43*n - v*a - 40 = 0, 0 = -3*n - 5*a + 10. What is the remainder when 528 is divided by n?
8
Let a be 7 - (-4)/((-8)/6). Suppose a*r - 119 = -5*w, w + 4*r - 11 = -0*w. Let y = 80 - w. Calculate the remainder when y is divided by 18.
17
Let l be (-11 - (6 + -10)) + 4245. Suppose -7*r = 19*r - l. Calculate the remainder when r is divided by 41.
40
Suppose x - 494 = -9*b - 10*b, 0 = -4*b - 24. Calculate the remainder when x is divided by 9.
5
Suppose 19*f + 14*f = 13*f + 11580. Calculate the remainder when f is divided by 122.
91
Let v = 125 - 76. Calculate the remainder when 57*(-6 - 207/(-27)) is divided by v.
46
Let y = -532 + 544. What is the remainder when 1018 is divided by y?
10
Suppose -4*s - 4*f = -1088, -5*s + 858 = 2*f - 493. Let x = -235 + s. What is the remainder when x is divided by 12?
10
Let p(v) = -549*v**3 - 23*v - 23. Calculate the remainder when p(-1) is divided by 61.
0
Suppose 3*d - 1299 = -2*h, -h + 4*d + 313 = -320. Let q = -459 + h. Let n = q - 143. What is the remainder when n is divided by 12?
7
Suppose 2591*g = 2559*g + 160. Calculate the remainder when 319 is divided by g.
4
Let j(g) = 2*g**3 - 51*g**2 - 303*g + 108. What is the remainder when j(31) is divided by 418?
32
Let g(q) = -657*q - 7839. Calculate the remainder when 179 is divided by g(-12).
44
Let q(x) = 2*x**3 - 12*x**2 + 148*x - 1371. Calculate the remainder when 903 is divided by q(9).
9
Suppose 4*s - 2*r = -0*s - 518, 5*r - 25 = 0. Let q = s - -193. Suppose -17*g + 85 = -12*g. What is the remainder when q is divided by g?
15
Let l = 43 + -32. Calculate the remainder when ((-434)/28)/(2/(-8)) is divided by l.
7
Suppose -236 = -4*p + 4*g, p - 3*p = -3*g - 119. Let f = p - -65. What is the remainder when f is divided by 13?
6
Suppose -4 = 4*j + 5*b + 21, 0 = -2*j + 3*b + 15. Suppose 9*a - 7 - 2 = j. What is the remainder when 3 is divided by a?
0
What is the remainder when 6999 is divided by (12 + -1)/(20/20) + 9?
19
Let m(j) be the second derivative of -j**5/5 - 5*j**3/6 - 7*j**2/2 - 106*j. What is the remainder when 522 is divided by m(-2)?
32
Suppose 413*g = 428*g - 13290. What is the remainder when g is divided by 225?
211
Let l = 101 - 67. Let m(s) = -s**3 - 18*s**2 - 3*s + 3. Let d be m(-13). Let v = d + 810. Calculate the remainder when l is divided by v.
6
Calculate the remainder when 492 is divided by 225 - (292 - -7)/(-23).
16
Let f = 19 - 17. Suppose 0*u + f*u - 3*k - 86 = 0, -5*k + 70 = 2*u. Calculate the remainder when u is divided by 10 + 0 + (3 - 2 - -3).
12
Suppose 15801 = 53*l - 34019. What is the remainder when l is divided by 934?
6
Suppose 15*v - 612 = 6*v. Suppose -306 - 138 = -3*k + 3*u, -3 = -3*u. What is the remainder when k is divided by v?
13
Let d(y) be the third derivative of y**5/60 + 5*y**4/4 - 19*y**3 - 62*y**2. What is the remainder when 107 is divided by d(-34)?
19
Let n be (-277)/(-5 + 456/90). Calculate the remainder when 56 is divided by (-4)/22 - n/165.
6
Suppose 63 = 4*q - 129. Suppose -4*t - 11*y + 530 = -6*y, 6*t - 822 = -3*y. Calculate the remainder when t is divided by q.
44
Let a(d) = -2*d**3 + d**2 + 2*d - 1. Let g(w) = -9*w**3 + 5*w**2 - 6*w + 1. Let v(x) = 5*a(x) - g(x). Calculate the remainder when 226 is divided by v(-5).
31
Let x(c) = c**3 + 21*c**2 - 32*c + 1. Let d be x(-22). Suppose 5*w + 5*a - 370 = 0, d = 7*w - 4*w + 4*a. What is the remainder when 674 is divided by w?
74
Suppose 3*i = 2*k + 644, -2*i - 57*k + 436 = -55*k. What is the remainder when i is divided by 118?
98
Suppose -b = 19*n - 18*n + 1, 9*b = 4*n + 95. Let v = -123 + 185. Calculate the remainder when v is divided by b.
6
Let u(a) = a**3 + 8*a**2 - 3*a + 1. Suppose 8*l - 10*l = 16. Calculate the remainder when 1226/26 + -13*50/4225 is divided by u(l).
22
Let z(t) = -18*t + 786. What is the remainder when z(5) is divided by 282?
132
Suppose 12 = 3*t, -3*t = 2*b - 630 + 558. Let u(y) = y**3 - y**2 + 31. Calculate the remainder when u(0) is divided by b.
1
Let b = 87 + -83. Suppose 10*n - 9*n - 54 = 4*v, v = b*n - 201. Suppose -3*z - 3*k = 2*z - 62, 2*k = -4*z + n. Calculate the remainder when z is divided by 8.
5
Let q = 635 + -629. Suppose -5*y + 45 + 10 = 0. Calculate the remainder when y is divided by q.
5
Suppose -5 = -5*t - 4*n, 3*t - n - 4 = -1. Let r = t + 4. What is the remainder when 14 is divided by r?
4
Suppose -2*y + 4 = 2*y. Let i be (-14 - -11)/(-1*y). Suppose 3*d - v - 13 = 0, -3*v = i*d - 6*d + 21. Calculate the remainder when 23 is divided by d.
2
Suppose -182*b = -191*b + 693. Calculate the remainder when b is divided by 7.
0
Let u(s) = -2*s**3 + 17*s**2 - 6*s + 18. What is the remainder when u(7) is divided by 13?
6
Let z = 507 + -320. Suppose -181*x - 468 = -z*x. What is the remainder when 389 is divided by x?
77
Let o = 1569 + -1524. Calculate the remainder when 142 is divided by o.
7
Suppose -5*z + 12 = -3*z. Suppose z*r = 2*r - 16. What is the remainder when 4 is divided by r - -7 - (1 - (-2 + 1))?
0
Let c(d) = -22*d - 876. Calculate the remainder when c(-43) is divided by 26.
18
Suppose 22*b = 26*b + 172. Let m = b + 53. Suppose -43 = 4*n - 63. Calculate the remainder when m is divided by n.
0
Let o = -2313 + 2387. Calculate the remainder when 657 is divided by o.
65
Let k(a) be the second derivative of -17*a**5/20 + a**4/6 + a**3/3 - a**2/2 - 190*a - 2. Calculate the remainder when 27 is divided by k(-1).
11
Suppose -13*x - 3 = -107. Let a = -62 - -90. Suppose -q = q - a. What is the remainder when q is divided by x?
6
Let y = 109 + -100. Suppose l = 0, 0 = -5*s + 3*s + 2*l + 10. Let d(n) = -2*n**3 + 10*n**2 + 2*n + 4. Calculate the remainder when d(s) is divided by y.
5
Suppose 337 = -3*o - 5*h, 7*o + 2*h - 572 = 12*o. What is the remainder when (9 - 1)/8*o/(-1) is divided by 31?
21
Suppose 2 = -2*l, 49*r + l - 28 = 48*r. Calculate the remainder when 2406 is divided by r.
28
Suppose -20*d - 2 = -18*d. Let r(f) = 14*f**2 + 7*f + 7. What is the remainder when 55 is divided by r(d)?
13
Let g(v) = 21 - 15*v - 2*v**2 - 52 + 16. Let w be g(-6). Suppose t = 3*s + 156, -w*t - 4*s + 508 = -3*s. What is the remainder when t is divided by 43?
39
Let b(w) = w**2 + 41*w - 172. Let x be b(4). Suppose x*h + 1666 = 5*v + 6*h, v = 3*h + 328. What is the remainder when v is divided by 16?
14
Let m(o) = o**2 + 3*o - 15. Calculate the remainder when (-146)/(((-96)/(-36))/(-4)) is divided by m(-7).
11
Let q be 3 + 4/(-16)*-4. Calculate the remainder when (18 - 64/(-8)) + 2/(-1) is divided by ((-6)/(-9))/(q/90).
9
Let l = 239 - 371. Let n = -136 - l. Let d(i) = -5*i - 11. Calculate the remainder when 24 is divided by d(n).
6
Let t be (18/(-12))/((-3)/976). Suppose 16*v = t + 392. What is the remainder when 273 is divided by v?
53
Let k = 20094 - 16543. Calculate the remainder when k is divided by 19.
17
Let b = -13169 + 13599. Calculate the remainder when b is divided by 412.
18
Let q be -2 - (13*-2 + 1)/1. Let a(l) = 3 + 6*l - q - 22. Calculate the remainder when 71 is divided by a(11).
23
Let x = 705 + -696. Suppose 2*b - 68 = 6*b. Let t = 9 - b. Calculate the remainder when t is divided by x.
8
Let d = 1 + 1. Let r(c) = -2*c + 24 - 32 + c**d - 9*c. What is the remainder when r(16) is divided by 25?
22
Let o(h) = 3*h + 46. Let d be o(-14). Suppose -d*y - 106 = -3*s, 0 = -3*s - s - 3*y + 133. What is the remainder when 122 is divided by s?
20
Let p be (-304)/40*2/(-4)*5. What is the remainder when 2945/p - (2 + 1) is divided by 7?
5
Let y(h) = 23*h - 1. Suppose -11143 + 3806 = -23*o. Let u = -279 + o. Calculate the remainder when u is divided by y(1).
18
Let l(s) = 3*s**2 - s - 3. Let j be l(-2). Suppose 3*y - 3*g + j + 7 = 0, -4*g = -12. What is the remainder when 52 is divided by y/9 + 170/15?
8
Suppose -4*l = -2*w, -3*w + 80 = -0*w + 2*l. Suppose 3*h = -2*h + 25. Calculate the remainder when w is divided by h.
0
Let h = -9767 + 9784. What is the remainder when 1765 is divided by h?
14
Suppose -g - 2*a + 942 = 0, g + 11*a - 628 = 323. Calculate the remainder when g is divided by 79.
71
Suppose x - 3*f - 17 = 0, 4*f - 424 = -x - 386. Suppose 0 = -3*i + 4*w + 440, 2*w - 59 = -i + 1