 p(q) = -q**3 + 17*q**2 + 23*q - 70. What is the remainder when p(18) is divided by n/(-3 + -1 + 2)?
6
Suppose 50*k = 41*k. Suppose k*w - 5*w + 1092 = 4*y, 5*y + 2*w - 1348 = 0. What is the remainder when y is divided by 45?
43
Let f = 463 + -460. Suppose 3*t + h = 7, -3*t = 4*h + 2 - f. Calculate the remainder when t is divided by 3.
0
Suppose -2*c + 47 + 92 = -3*w, 0 = c + 5*w - 24. Calculate the remainder when 1235 is divided by c.
55
Let g = 9232 - 8543. Calculate the remainder when g is divided by 37.
23
Suppose 2*u + 3*m + 1 = 0, 9*u + 12 = 6*u - m. What is the remainder when 5405/46 + (-1 - u/2) is divided by 27?
11
Let o(q) = 46*q + 2184. Calculate the remainder when 2877 is divided by o(-44).
157
Suppose n + 76 = i, 5*i = 166*n - 168*n + 373. Calculate the remainder when 295 is divided by i.
70
Let g = -5522 - -5572. Calculate the remainder when 248 is divided by g.
48
Suppose 0 = -34*s + 46*s - 8088. Suppose -689 = -5*b - s. Calculate the remainder when 57 is divided by b.
0
Let w = 55 + -54. Let d be 2 - -46 - (-4)/(w/(-1)). Suppose d = 4*y + 5*m, 5*m = -3*y + 17 + 21. What is the remainder when 23 is divided by y?
5
Let u(f) = -50*f - 1993. Calculate the remainder when u(-44) is divided by 182.
25
Suppose -5*k - 40 = 0, 81*s + 2*k = 79*s + 4. Suppose -10 - 9 = -i. What is the remainder when i is divided by s?
9
Let u = 236 + -477. Let k = u + 352. What is the remainder when k is divided by ((-70)/(-40))/(2/32)?
27
Let r(l) = l + 69. Let n(g) = 5*g - 23. Let k be n(-5). Let p = k - -68. What is the remainder when r(-13) is divided by p?
16
Suppose -2*s - 6 = -f + 67, 3*s - 174 = -2*f. Let r = 625 + -383. Calculate the remainder when r is divided by f.
80
Suppose -z + 3*w - 3 = -15, -2*z + 69 = 3*w. What is the remainder when z is divided by 15?
12
Suppose -5 = -4*t - 2*j + 1, 3*t - 10 = 4*j. Suppose -t*u + 20 = -0*u. Let n(x) = 101*x**3 - x**2 - 4*x + 3. What is the remainder when n(1) is divided by u?
9
Let f(v) = 30 + v**2 + 20*v - 6 - 1. Let c be f(-19). Suppose -24 = -c*w - 0*w. Calculate the remainder when 14 is divided by w.
2
Let j(i) = -5*i**2 + 2*i - 6*i - 2 + 1 + 4*i**2 - i**3. Let u = 5 - 7. Calculate the remainder when 109 is divided by j(u).
10
Let c(t) = 3*t**2 - 6*t + 2. Let w be c(2). Suppose -w*b - 3 = -5. Calculate the remainder when 99 is divided by (-1 + -4)*(-11 + b).
49
Let q = -54 - -131. Let b(z) = -85*z - 12830. What is the remainder when q is divided by b(-151)?
2
Let k(l) = l + 3. Let y(r) = -r**2 - 38*r - 19. Let j(a) = k(a) - y(a). Calculate the remainder when 103 is divided by j(-39).
15
Let a = 44 - 44. Suppose -8*l - 15 + 39 = a. Calculate the remainder when (7 - 1)*(-5)/((-60)/32) is divided by l.
1
Suppose 0 = -3*z + 12 - 0. Suppose z*u - 16 - 4 = 0. Suppose 0 = -2*t + a + 13, -3*t + 2*t + 2*a + u = 0. What is the remainder when 27 is divided by t?
6
Let s = 2198 + -2199. Let x(z) be the first derivative of -13*z**2 - 2*z - 1. What is the remainder when 71 is divided by x(s)?
23
Let m(b) = 3*b + 1. Let n be m(-7). Let c = -11 - n. Suppose 3 = h + a, -3*h - 2*a + 1 = -10. Calculate the remainder when c is divided by h.
4
Let d(i) = -13*i**3 + 2*i**2 + 2*i - 18. Suppose 5*h = 3*g + 234, g - 5*g = -8. Calculate the remainder when d(-2) is divided by h.
42
Let i(y) = -7*y - 54. Suppose -l + 175 = 5*t + 47, -t = -4. Calculate the remainder when l is divided by i(-10).
12
Let i = -17 - -20. Suppose -3*d + 4*o + 920 = 0, 0 = -i*d + 6*d + 2*o - 908. What is the remainder when d/10 - (-28)/(-70) is divided by 16?
14
Calculate the remainder when 282 is divided by (8/(-6))/((-3820)/(-6450) + 6/(-10)).
110
Let z(i) = i**2 + 3*i + 5. Suppose 0 = -8*t - 319 + 441 + 598. Calculate the remainder when t is divided by z(-6).
21
Suppose 0 = -4*l - 8, 9*c + l = 7*c + 416. What is the remainder when c is divided by 65?
14
Let w be 8/36*9 - (0 + 0). Suppose 0 = 3*t - w*b + 37 - 108, 81 = 3*t + 3*b. What is the remainder when 94 is divided by t?
19
Let t be (5 - 1) + (4 - 8). Suppose -d + x = -t*d - 43, 4*d = -x + 197. Calculate the remainder when 88 is divided by d.
40
Let c = -30 - -36. Let t(q) = q**2 - 7*q + 13. Let p be t(c). Suppose 5*y - p - 5 = s, s + 2*y - 23 = 0. What is the remainder when 36 is divided by s?
10
Let c(s) = -s**2 + 33*s - 131. Let b = 153 + 59. Calculate the remainder when b is divided by c(8).
5
Suppose q + 3*z - 649 = 0, -4*q + 2676 = -247*z + 249*z. Calculate the remainder when q is divided by 326.
21
Suppose 0 = 3*k - 17 + 5. Suppose 8*r - k*l = 4*r, 2*l = 4*r + 10. What is the remainder when 62 is divided by (-67)/r + 4/(-10)?
10
Suppose -52*w + 1407 = 15*w. What is the remainder when 1152 is divided by w?
18
Suppose -1858 = -125*b - 19*b + 5342. What is the remainder when 312 is divided by b?
12
Suppose -6*b - 33 = -19*b + 12*b. What is the remainder when 597 is divided by b?
3
Let p = 16 - 22. What is the remainder when 7 is divided by (-30 + 31)/((-2)/p)?
1
Suppose -4320 = 40*h - 16200. What is the remainder when h is divided by 12?
9
Let d be (-1692)/(-27)*30/4. Let a = -465 + d. What is the remainder when a is divided by 1?
0
Suppose 0 = -4*i + 3*s - 3395 + 13334, -5*i = -2*s - 12415. What is the remainder when i is divided by 108?
105
Let x be 18/8*(-48)/(-18). Let j be (-15)/10*(-8)/x. Suppose -3*d = j*g - 41, 3*d - d = -3*g + 19. What is the remainder when 65 is divided by d?
14
Suppose -364*h - 441 = -373*h. Calculate the remainder when 381 is divided by h.
38
Let z(d) = -d**2 + 20*d - 40. Let w be z(16). Let k = -20 + w. Suppose -k*a - 4*t = -125 - 43, -a + 2*t + 51 = 0. What is the remainder when a is divided by 23?
22
Suppose 2646 = 3*c - 0*c. Suppose 51*b + 1006 + 966 = 80*b. Calculate the remainder when c is divided by b.
66
Suppose 3*h + u - 328 = 0, -2*h + 220 = 3*u - u. Let r = 258 - h. What is the remainder when r is divided by 496/10 + 8/20?
49
Suppose -25*g + 29*g - 28 = 0. What is the remainder when 64/112 + 1592/g is divided by 58?
54
What is the remainder when 48 is divided by (-438)/(-21) + 45/315?
6
Let z(l) = 2*l + 4. Let d be z(2). Suppose -1822 = d*p + 530. What is the remainder when (2/3)/((-14)/p) is divided by 3?
2
Suppose 6945*z - 6913*z = 11808. Calculate the remainder when 1504 is divided by z.
28
Let j = 2 + 3. Let g = -1062 + 1067. Suppose -3*b - 4*r + 76 = -j*r, 0 = -g*b + 2*r + 126. Calculate the remainder when b is divided by 4.
2
Suppose 4*o - 267*x - 44 = -265*x, -4*o + x + 48 = 0. Let b(a) be the second derivative of a**4/6 + a**2/2 - a. What is the remainder when o is divided by b(1)?
1
Let v = 10 - 7. Let y = 81 + -79. Suppose 3*w - 34 = l, y*w + 9 = 2*l + 37. What is the remainder when w is divided by v?
1
Suppose 1025 = 5*i - 5*u, -10*u + 7*u + 225 = i. Calculate the remainder when i is divided by 20.
10
Let l(m) = -m + 10*m - 3*m - 11 - 2*m. Let w be l(3). Calculate the remainder when 82 is divided by (-61 - -60) + (0/w - -13).
10
Suppose 6*n - 3*n + 2*a - 154 = 0, 0 = 2*a + 2. Suppose n = 2*u + 2*y, 107 = 4*u + 3*y - 0*y. What is the remainder when 9/15 + (-564)/(-10) is divided by u?
28
Suppose 74 + 1 = -15*x. Calculate the remainder when 51 is divided by -18*(2 - -1)*x/10.
24
Let k be 1/(-4) + (-4 - 85/(-20)). Let u = -55 - -99. What is the remainder when u is divided by (-12)/(-3 - k) - (-1 + 0)?
4
Let b(l) = 139*l - 1185. What is the remainder when 182 is divided by b(9)?
50
Let m = 6437 + -6376. Calculate the remainder when 449 is divided by m.
22
Let r(l) = 3*l**2 - 23*l - 51. Let x be r(7). Let y be -1 - (29 + (1 - 0)). Let i = y - x. What is the remainder when 135 is divided by i?
33
Suppose -b = 1, -30*b - 46 = -i - 33*b. What is the remainder when (-7 - -1)/(-2) + (339 - 0) is divided by i?
48
Let w(y) = -14*y - 82. Let n be w(-6). Suppose 3*o - 2*c - 199 = 0, -104*o = -101*o + n*c - 215. What is the remainder when o is divided by 13?
4
Suppose 6*g = 977 + 289. Suppose 0 = -3*s + s + 8, 3*v + 4*s - g = 0. Calculate the remainder when v is divided by 11.
10
Suppose -t - 218 = -4*k, -2*k + 5*t + 53 = -47. Let h(i) = i**3 - 17*i**2 - 10*i + 19. What is the remainder when h(18) is divided by k?
53
Suppose -4*p - 28 = -8*p. Suppose p*c = 4836 + 4446. Suppose 15*k = 21*k - c. Calculate the remainder when k is divided by 14.
11
Let p(h)