g/p is divided by 18.
11
Suppose 3*s + 2*l - 2541 = 2813, s - 1782 = 2*l. Calculate the remainder when s is divided by 35.
34
Let l(g) = g**3 + 12*g**2 + 13*g + 21. Let a be (74/(-4) - -2)*2/3. Let w be l(a). Let d(f) = -63*f. Calculate the remainder when d(w) is divided by 11.
8
Let w = 122 + 3. Suppose 3 = v - 2*d - 3, -4*d - 4 = 2*v. Suppose 24 = n - 4*k, -n + 2*k + 18 = -v. Calculate the remainder when w is divided by n.
13
Suppose 0 = 4*v - 285 - 55. Let q = 1170 - -238. Let o = q + -1386. Calculate the remainder when v is divided by o.
19
Suppose -3*r = -3*y - 6045, -5*r + 428 = -2*y - 9632. What is the remainder when r is divided by 106?
102
Let g(d) be the second derivative of -d**5/20 - 3*d**4/4 + 17*d**3/6 - 13*d**2 + 380*d. Let l = -9 + -2. Calculate the remainder when g(l) is divided by 16.
13
Let x(o) = 74 + 3*o - 5*o - 72 + 8*o**2. Suppose -2*q - 5*v + 18 = 0, -53 = -q - 2*q - v. What is the remainder when x(2) is divided by q?
11
Let l = 11 + -13. Let g be (2 - 1)*(l + -6)/2. What is the remainder when 27 is divided by -3 - -2*(-19)/g*2?
11
Let u = 7833 + -7718. Calculate the remainder when 498 is divided by u.
38
Let o = 114 - -41. Let q be 2/13 - (-333)/117. Suppose -q*y - 2*y + 60 = 0. What is the remainder when o is divided by y?
11
Suppose -3*w + 1180 = -260. Calculate the remainder when w is divided by 95.
5
Suppose -3*y + 3293 + 4319 = 4*v, 2*v = -y + 2540. What is the remainder when y is divided by 127?
119
Suppose 14*n - 65 = 19. Suppose -50*s + 704 = -n*s. What is the remainder when 2*(-9)/(-6)*7 is divided by s?
5
Suppose 9*p = 36*p + 2808. Let a = p + 232. Calculate the remainder when a is divided by 35.
23
Suppose -106*q + 108*q = 0, -5*q = 5*f - 565. Calculate the remainder when 1921 is divided by f.
0
Let a(u) = u**3 + 10*u**2 - 4*u + 6. Let t be a(-10). Suppose -t = 5*d - 91. Calculate the remainder when d is divided by 4.
1
Suppose 15 - 3 = 2*t. Let j = 1063 - 904. Let a = -138 + j. Calculate the remainder when a is divided by t.
3
Suppose 8965 = 11*c - 814. What is the remainder when c is divided by 27?
25
Suppose 0 = 2*r - 57 + 759. Let j = r - -399. Let s(i) = 4*i - 2. What is the remainder when j is divided by s(4)?
6
Suppose -28 = -2*z - 2*z. Let j(g) = 2*g - 10. Suppose 0 = -20*k + 47*k - 351. Calculate the remainder when k is divided by j(z).
1
Suppose d + 5*c - 9 = -7, 2*d = 5*c + 4. Calculate the remainder when 50 is divided by (-4)/(4/(-23)) - (0 + d).
8
Suppose 199*q - 391*q - 1180 = -428*q. Let r(k) = -2*k**3 - 3*k**2 - k. Calculate the remainder when r(-2) is divided by q.
1
Suppose -3*v + 2*l - 3*l = 59, -4*v + 5*l = 85. Let y = 34 + v. Suppose 265 = -3*d + 8*d. What is the remainder when d is divided by y?
11
Let d(x) = -136*x - 473. What is the remainder when 113 is divided by d(-4)?
42
Let s = 610 - 606. Calculate the remainder when (-10320)/(-420)*14/s is divided by 28.
2
Let v = -816 + 1805. Calculate the remainder when v is divided by 22.
21
Let m = 145 - 140. What is the remainder when 3192/60 + (-1)/m is divided by 8?
5
Let w be (4/(-6) - 219/(-45))*-5. Let n = 77 - 23. Let o = n + w. Calculate the remainder when o is divided by 17.
16
Suppose 11 = 4*q - 5*d, -4*q - 5*d + 25 = q. Suppose -7*n + 4*n - q*t = -67, -n - t + 23 = 0. What is the remainder when 64 is divided by n?
14
Let x(n) = -4*n + 199. Let t be 0 + (-1)/1*8. Let h = t + 41. Calculate the remainder when x(34) is divided by h.
30
Let v(j) = -4*j**2 - 62*j + 43. Let o be (-11 - -2)*(-30)/(-18). What is the remainder when 218 is divided by v(o)?
72
Let m = 45234 - 44843. What is the remainder when 3926 is divided by m?
16
Let c(b) = -10*b - 129. Calculate the remainder when c(-16) is divided by (-52)/(-4) - (4 + -2).
9
Suppose 17186 - 2549 = 41*j. Calculate the remainder when j is divided by 65.
32
Let c = 55 - 7. Suppose n - 18 = c. What is the remainder when 157 is divided by n?
25
Let v(n) = -n**3 + n**2 + 2*n - 1. Let l be v(1). Let z = -3 - -20. Calculate the remainder when (-695)/(-6) + l/6 is divided by z.
14
Let b(x) be the first derivative of 3*x**2 - 2*x + 7. Suppose t - 45 + 19 = 0. What is the remainder when t is divided by b(3)?
10
Let r be (-1)/(-8) + 23/8. What is the remainder when 9 + 8 - (r + 0) is divided by 3?
2
Suppose 120 = -3*u + 5*u. Let j = 13043 + -13017. What is the remainder when u is divided by j?
8
Let j(x) = 23*x**2 + 2*x - 5. Suppose 0 = 4*w - 90 - 62. Calculate the remainder when j(2) is divided by w.
15
Suppose -4*c + 4 = 5*x, 4*c = 4*x - 25 - 7. Suppose -9*o + 8*o - 5*g + 65 = 0, 4*o = -x*g + 180. What is the remainder when 115 is divided by o?
35
Suppose -6*j = -9*j - 180. Calculate the remainder when (-20)/(-4) - 1*j is divided by 14.
9
Let f = -6 + -2. Let p = 21 + f. Calculate the remainder when (((-357)/14)/1)/(1/(-2)) is divided by p.
12
Let s(v) = 9*v**3 - 1. Calculate the remainder when 14/20*(-2360)/(-20650) + 1323/25*1 is divided by s(1).
5
Let o(x) = 8*x**3 + 2*x**2 + 3*x - 12. Suppose 0 = 17*u + 488 - 1644. What is the remainder when o(3) is divided by u?
27
Let f(k) = k**3 + 6*k**2 + 5*k + 1. Let r = -13 + 28. Suppose 0 = -4*b - c - r, -20 = 3*b - 4*c - 4. What is the remainder when 25 is divided by f(b)?
12
Let v = 15402 + -15283. Calculate the remainder when v is divided by (-2 - -66)/2 + -1.
26
Let n(w) = -4*w + 13. Let t be n(-9). What is the remainder when 20*(-1)/(-2)*t/14 is divided by 13?
9
Suppose -2*x + 452 = 5*z, -4*z - 3*x - 2*x = -348. Let o be z*(1 + 6/(-8)). Let u = -3 + o. Calculate the remainder when 38 is divided by u.
18
Let s = 696 - 538. Suppose -24*z = -22*z - s. Suppose 5*m = -3*y + 141, -m + 22 + 11 = 3*y. Calculate the remainder when z is divided by m.
25
Suppose 5*p + 3*c = 1950, -4*p - 3*c = -2*c - 1553. Let s = p - 376. What is the remainder when 64 is divided by s?
9
Suppose r - 11 = 3*v + 23, v = -4. What is the remainder when 151 is divided by r?
19
Suppose 2*l - 30 = 7*l. Let f(w) = -w**2 - 8*w - 4. What is the remainder when (-55)/(-22) - (-605)/22 is divided by f(l)?
6
Let x(z) = z**3 - 20*z**2 - 67*z + 157. What is the remainder when x(24) is divided by 417?
19
Let c(i) = -294*i + 86. What is the remainder when c(-3) is divided by 65?
58
Suppose -77 - 103 = -4*x. Let t = 64 + -60. Suppose -t*c = -5*v + 128, 3*v = 5*c + 84 - 2. What is the remainder when x is divided by v?
21
Let x(u) = -28*u**2 - 82*u. Suppose 0 = -5*m + y + 421, -5*y = -7*m + 2*m + 425. Calculate the remainder when m is divided by x(-1).
30
Suppose -5*x + 471 = 3*k, 0 = -5*k + 15*x - 14*x + 757. Let a = k - 132. What is the remainder when 57 is divided by a?
17
Suppose -137*f = -134*f + 39. Let p be -5 - 32/(-4) - f. Suppose 6*t - p - 80 = 0. What is the remainder when 61 is divided by t?
13
Let q = 4961 + -4613. What is the remainder when 1053 is divided by q?
9
Suppose 0 = -234*b + 33*b + 663702. Calculate the remainder when b is divided by 16.
6
Suppose 0 = -4*g - 16. Let s = g - -8. Suppose -s*a - 94 = -6*a. What is the remainder when a is divided by 7?
5
Let z = -79 - -222. What is the remainder when z is divided by -36*(-5 + (-78)/(-18))?
23
Let v be (6/(-4))/((-21)/28). Suppose -f = -4*b + 26, 3*f = 4*f - v. Suppose 25 = 4*n + 9. What is the remainder when b is divided by n?
3
Let q = -6912 + 8543. Calculate the remainder when q is divided by 326.
1
Suppose 63*i = 70*i - 952. Suppose -16 = 10*s - i. What is the remainder when (1/(-2))/((-2)/136) is divided by s?
10
Let j = -318 - -334. Let h(w) = 2*w**2 + 2*w - 2*w**3 - 4*w**2 + 3*w**3 - 3*w**2. Calculate the remainder when j is divided by h(5).
6
Let a = -178 + 178. Suppose a = 20*j - 17*j - 33. Calculate the remainder when j is divided by 2.
1
Let k(g) = g + 148. Let v(i) = i**3 - 6*i**2 + 5*i - 54. Let p be v(7). Calculate the remainder when k(p) is divided by 46.
40
Suppose n - 146 = -2*p, -4*p + 19*n = 18*n - 286. Calculate the remainder when 825 is divided by p.
33
Suppose 0 = 3*f + 4*b - 2064 - 1499, f - 1161 = 4*b. What is the remainder when f is divided by 242?
213
Suppose 98 = 5*v + 13. Let o = 47775 - 47757. What is the remainder when o is divided by v?
1
Let h(i) = -7*i**3 + 3*i**2 + 5*i + 13. Let y(j) = -8*j**3 + 2*j**2 + 6*j + 12. Let w(r) = 7*h(r) - 6*y(r). Calculate the remainder when 747 is divided by w