8 = 2*p. Suppose 0 = x + 4*x - 15. What is the remainder when p is divided by x?
1
Suppose 5*i = 16*i - 4408 + 118. What is the remainder when i is divided by 137?
116
Suppose 3*p + 145 = -62. Let r = 2 - p. Calculate the remainder when r is divided by 36.
35
Suppose 23*i - 90 = 20*i. Let s be (-6)/(i/(-215)) - -2. Let n = s - 39. Calculate the remainder when 21 is divided by n.
3
Suppose 4*s = 12, 2*p = 2*s + 58 + 130. Calculate the remainder when 872 is divided by p.
96
Suppose -5*y = -t + 1 + 105, -2*y = -4*t + 352. What is the remainder when t is divided by 4/(-1) - (-32 + 5)?
17
Let m(k) = -78*k - 107. Calculate the remainder when 971 is divided by m(-2).
40
Let c be ((-1)/6*4)/(3/9). Let m(r) = 3*r**2 - 4*r - 10. Calculate the remainder when 108 is divided by m(c).
8
Suppose -15*a + 5*a + 20 = 0. Suppose 0 = -a*q + 5*j + 43, 62 = 23*q - 19*q - 2*j. Calculate the remainder when 41 is divided by q.
13
Suppose h + 4*d = 41, 5*h - 6*h - 2*d = -49. Suppose -53 = -m - 5*t, 49 + 47 = 2*m + 5*t. Let q = h - m. Calculate the remainder when 108 is divided by q.
10
Let r = 13548 + -13351. Calculate the remainder when r is divided by 3.
2
Let g(i) = i**3 + 53*i**2 - 225*i + 188. What is the remainder when 83 is divided by g(-57)?
15
Let x(g) = -g**3 - 10*g**2 - 27*g - 7. Let v be x(-6). Suppose 0 = v*t - 1082 + 169. Calculate the remainder when t is divided by 22.
17
Let k be 3/(48/88) + (-3)/2. Let x be 11/((-4)/4 - 0)*k. Calculate the remainder when 20 is divided by (-2)/((-40)/x)*-5.
9
Suppose -8 = -4*x, 29*x = -5*v + 22*x + 394. Calculate the remainder when 418 is divided by v.
38
What is the remainder when (1/2)/(13 + (-70650)/5436) is divided by 55?
41
Let f(k) be the third derivative of -k**6/120 + k**4/6 + k**3/2 + 2*k**2. Let p = 98303 - 98234. What is the remainder when p is divided by f(-3)?
15
Suppose 0 = 6*s + 1182 + 528. Let l = s + 344. What is the remainder when l is divided by 29?
1
Let f be 149544/84 + 4/(-14). Calculate the remainder when 6/8*f/15 is divided by 13.
11
Let a = -552 + 596. Suppose 5*i = -5*y + 170, 7*y + 10 = 2*y. Let h = a - i. What is the remainder when 15 is divided by h?
7
Let l = -19809 - -20157. Calculate the remainder when l is divided by 94.
66
Suppose 0 = 2*j - x - 1584 + 522, 3*x - 1575 = -3*j. Calculate the remainder when j is divided by 150.
79
Let f(l) = l**3 + 9*l**2 + 4*l - 6. Suppose 2 = -3*y + 8, 5*p - 235 = 5*y. Calculate the remainder when p is divided by f(-8).
23
Let f(j) = -18*j + 362. Let u be f(20). Suppose -100 + 392 = 4*w - 4*a, -u*a = -4*w + 284. What is the remainder when w is divided by 18?
15
Let d = 20343 + -20310. What is the remainder when d is divided by 30?
3
What is the remainder when 182 is divided by -8 - (-41 - (-21)/(6 - 13))?
2
Let b(h) = 3*h**3 + h**2 - 4*h - 2. Calculate the remainder when 441 is divided by b(2).
9
Suppose 0 = -81*h + 83*h - 10. Suppose -3*l = h*v - 58, 0*v = -4*l - v + 49. Calculate the remainder when 101 is divided by l.
2
Let p = -18000 - -18037. Calculate the remainder when 2723 is divided by p.
22
Let s = 19 + -58. Let r = s - -51. Suppose 2*v = -2*m - 2*m + r, 5*v - 4*m = 2. Calculate the remainder when 4 is divided by v.
0
Suppose 5*c - 560 = -23*c. What is the remainder when (0/2)/(-1) + (-3 - -68) is divided by c?
5
Let c be ((-8)/(-16))/((-2)/12). Let m = 44 + -19. Let s = m + c. Calculate the remainder when s is divided by 8.
6
Let f(u) = 6*u**2. Let n be f(1). Let j(k) = 2*k**2 - 7*k + 0*k**2 + 73 - 42 + k. Calculate the remainder when j(n) is divided by 14.
11
Let w = 56 + -34. Let s = 2732 + -2720. Calculate the remainder when w is divided by s.
10
Suppose -3 = -0*z + 3*z. What is the remainder when 63 - (z + 2 + -1) is divided by (8/(-3))/((-50)/24 - -2)?
31
Let y(d) = d**3 - 31*d**2 + 74*d - 10. Calculate the remainder when y(29) is divided by 110.
14
Let h(j) be the third derivative of 2*j**5/5 + j**4/12 - 22*j**2. Let q be h(2). Let r = q - 40. Calculate the remainder when r is divided by 21.
18
Let h(c) = c**3 + 4*c**2 - 4. Let s be h(-3). Suppose -s*q - 15 = -y + 72, 4*y + 3*q - 279 = 0. Let d = -21 - -36. What is the remainder when y is divided by d?
12
Calculate the remainder when (-15)/3*(-251894)/1010 is divided by 312.
311
Let u = 90 + -50. Let x = 83659 + -83491. What is the remainder when x is divided by u?
8
Let n = 43 - 6. Suppose 70*f - 4 = 69*f. Suppose -37 = -3*z - 2*a, f*z - 3*z - 8 = -5*a. What is the remainder when n is divided by z?
11
Let k(c) be the first derivative of -c**2 - 27. Let s be k(-1). Suppose w + 37 + 6 = 5*g, s*w = -4*g + 26. What is the remainder when g is divided by 2?
0
Suppose 0 = 125*d - 98*d - 2214. What is the remainder when 400 is divided by d?
72
Suppose 47*j + 455 = 79. Let s(d) = -d**2 - 11*d + 4. Let p(b) = b + 1. Let l(m) = 3*p(m) + s(m). Calculate the remainder when 10 is divided by l(j).
3
Let f(p) = 2*p**2 + 49*p - 309. Let t be f(12). Let d be (15/2)/(3/4). Suppose d*i - t = 3*i. Calculate the remainder when i is divided by 14.
11
Let h = 41 - 9. Let o = h + -13. Suppose 0 = -2*u - 72 + 336. What is the remainder when u is divided by o?
18
What is the remainder when (-324)/270*(-130)/3 is divided by 15?
7
Let n(b) = b**2 - 15*b + 38. Let r be n(13). Suppose 0*t + r = o - 5*t, -3*o = 4*t - 17. What is the remainder when 76 is divided by o?
6
Suppose 38*j = 53*j - 675. Suppose j*m = 40*m + 100. Calculate the remainder when 36 is divided by m.
16
Suppose 271 = 4*r - 5*k, -4*r + k - 33 + 324 = 0. Suppose 0 = 2*c + 2*y - r, -183 = -5*c - y - 2*y. What is the remainder when c is divided by 20?
16
What is the remainder when (64 + -22)/((-15)/(-585)) is divided by 327?
3
Suppose -f - 132 = -l, 398*f + 394 = 3*l + 394*f. Calculate the remainder when l is divided by 5.
4
Let w = 1086 - 898. What is the remainder when w is divided by 70?
48
Let m(f) = 12*f**3 - 5*f - 6. Let i be m(-1). Let j = i - -51. Calculate the remainder when j is divided by 21.
17
Suppose 9*m - 18*m + 15966 = 0. Suppose 602 = 36*o - m. Calculate the remainder when o is divided by 48.
18
Let o = -186 + 330. Calculate the remainder when 577 is divided by o.
1
Let m be (56/(-6))/(-2) + (-4)/(-12). Suppose w = -5*o + 122, m*w - 996 = -2*o - 340. Let c = -92 + w. What is the remainder when c is divided by 15?
10
Let q(p) = -11*p - 249. Suppose -2*k = 6 + 56. What is the remainder when 95 is divided by q(k)?
3
Suppose -69 = -4*n + 5*f, -2*n + 4*f + 27 = -15. What is the remainder when 31458/5992*(-136)/(-14) is divided by n?
7
Let r be ((-2)/3)/(44/(-264)). Suppose 3*z = 5*m + 52, 0 = -2*m - r - 0. Suppose 0 = -3*j - j + 108. What is the remainder when j is divided by z?
13
Let r(z) = -27*z - 15. Suppose a + 0*o + o - 194 = 0, 2*a - 4*o = 388. Calculate the remainder when a is divided by r(-3).
62
Suppose 0 = -n + 5*n - 28. What is the remainder when (-2*(14 + -12))/(2 - (-678)/(-333)) is divided by n?
6
Let l = 38 + -36. Suppose -2*n + 250 = l*h, 0 = -n - 3*n + h + 520. Suppose 3*r = -4*x + n, 2*x + x = -5*r + 94. What is the remainder when x is divided by 7?
5
What is the remainder when 187 is divided by 2178/12 - 12/(-24)?
5
Suppose -368941 = -15*o - 368806. Let m(s) = s - 5. Let y be m(6). Calculate the remainder when (1 + -29)*y/(-2) is divided by o.
5
Let f = 5633 + -5496. Calculate the remainder when 2874 is divided by f.
134
Let n(q) = -13 - 13*q - 12 + 3*q + 6. What is the remainder when 12/8 - 483/(-2) is divided by n(-6)?
38
Let l(f) = -f**3 + 4*f**2 - 3*f + 5. Let o(p) = -p**2 - 7*p + 81. Let q be o(-13). Calculate the remainder when l(q) is divided by 1/(4*3/36).
2
Suppose 4 = -f + 2. Suppose 5*u + 2*m = -158, 2*u - 18 = 3*m - 66. Calculate the remainder when f*25/u*3 is divided by 2.
1
Let k = 9024 + -5221. Calculate the remainder when k is divided by 11.
8
Suppose 32*v - 1275 = 325. What is the remainder when v is divided by 26?
24
Let g(r) = r**2 + 7*r. Suppose -22*k + 23*k + 10*i = 274, 0 = 2*k + 2*i - 440. What is the remainder when k is divided by g(-12)?
34
Suppose d = 3*i - 1363, -4*d + 1271 = 4*i - 541. What is the remainder when 1692 is divided by i?
330
Let x = 147 + -141. Suppose -8*w = x*w - 196. Calculate the remainder when 391 is divided by w.
13
Suppose -10948 = 32*v - 4*v. Let t = v + 414. What is th