3
Let x(o) = -3*o**2 - 17*o - 1. Let v be x(-2). Suppose 4*m + v - 141 = 0. Calculate the remainder when m is divided by 16.
14
Let p = 279 - 67. Let x = p + 7. Suppose 0 = 6*j - x - 51. Calculate the remainder when 267 is divided by j.
42
Let j(s) be the third derivative of -5*s**4/12 - 11*s**3/3 - 32*s**2. Let b = -24 + 38. What is the remainder when j(-10) is divided by b?
8
Calculate the remainder when 534 is divided by (11 - 324/21) + 4 - 216/(-14).
9
Let n = -48 + 75. Suppose q - n = -2*q. What is the remainder when (-16)/96 + (-3)/(72/(-1492)) is divided by q?
8
Suppose 0*j - 4 = -5*n + 2*j, j - 13 = -5*n. What is the remainder when 58 is divided by (-19584)/(-1080) + n/(-15)?
4
Let q(l) = 28*l**2 - 14*l + 10. Let u be q(6). Suppose 4*s = u - 218. What is the remainder when s is divided by 27?
17
Let d(x) = -14*x + 1525. Calculate the remainder when 112 is divided by d(106).
30
What is the remainder when (-1 - -2)/(33183/(-5535) + 6) is divided by 3/12 - 550/(-8)?
67
Suppose -679*v - 23486 = -79164. Let g(j) = -j**3 - 5*j**2 - 3*j + 2. What is the remainder when v is divided by g(-5)?
14
Let h(d) = d**3 + 16*d**2 - 38*d + 9. Suppose w = -w + 2044 - 1744. What is the remainder when w is divided by h(-18)?
15
Suppose -13*y + 248 = 4772. Calculate the remainder when (y/16)/(3/(-8)) is divided by 32.
26
Suppose -2*n = 5*u - 29, u + 87 = 5*n - u. Suppose -3*a = -2*a - 5. What is the remainder when a is divided by (-93)/217 + n/7?
1
Let l(w) = -2*w**2 + 6*w + 7. Let m be l(5). Let y(j) = -4*j**2 - 15*j - 8. Let b be y(-5). Let g = m - b. Calculate the remainder when 58 is divided by g.
18
Let i be 2/(-8) - (-1)/4. Let w = -1951 + 2144. Suppose v = -i*v + w. What is the remainder when v is divided by 39?
37
Let g(t) = t**3 - 15*t**2 + 3*t - 16. Suppose -3*f + 5 + 1 = 0. Let j(x) = 9*x - 3. Let s be j(f). What is the remainder when g(s) is divided by 10?
9
Suppose 101*w = 13 + 391. What is the remainder when 1194 is divided by w?
2
Let k(c) = 2*c + 5. Calculate the remainder when (213/(-355))/(9/(-420)) is divided by k(6).
11
Suppose 15615*h + 840 = 15639*h. What is the remainder when 6193 is divided by h?
33
Let y = 211 + -188. Suppose -3*v + 4*l = -y, -2*v - l = 1 - 31. What is the remainder when 75 is divided by v?
10
Suppose 12 = -b - 3*s, -b + 19 = 2*b - 2*s. What is the remainder when 16 is divided by b?
1
Suppose 77 + 3 = 4*m + 4*s, 2*s = 0. Calculate the remainder when 106 is divided by (-17)/(-1) - m/(-20).
16
Suppose 0 = -2*q + q + 39. Suppose -r + l = 3, q = -3*r - l - 2*l. Let g = 9 + r. What is the remainder when 7 is divided by g?
0
Let w = -10860 - -10903. Calculate the remainder when w is divided by 29.
14
Let f(k) = -312*k + 342*k - 14*k**2 + 27 + k**3 + 49. What is the remainder when 153 is divided by f(11)?
24
Let n(m) = m**2 + 3*m - 3. Suppose 0 = -160*l + 455*l - 21836 - 6484. Calculate the remainder when l is divided by n(6).
45
Suppose -317*g = -314*g - 33. Suppose -c = -v + 4*c - 1, -c = -v + g. Calculate the remainder when v is divided by 6.
2
Let r(n) = 1316*n + 461935. Calculate the remainder when 10/(-1)*14/(-5) is divided by r(-351).
9
Let l(t) = t**2 - 13*t - 38. Let h be 125/(-15) + 8/(-12). Let j be l(h). Let g = -144 + j. What is the remainder when 29 is divided by g?
13
Suppose 0 = 2*t - u - 237, -u - 15 + 250 = 2*t. Let q = -1131 + 1143. Calculate the remainder when t is divided by q.
10
Let r(s) = -16*s - 51. Let j be r(-4). Suppose w - c - 3 = j, -w = 3*c + 4. What is the remainder when 43 is divided by w?
10
Let f(k) = -1610*k + 29011. Let t = 200 - 17. Calculate the remainder when t is divided by f(18).
28
Suppose -12394 = -5*d - k, d - 3*k - 1849 - 633 = 0. What is the remainder when d is divided by 249?
238
Let u(l) = 7*l**2 - 22*l + 101. Calculate the remainder when 3006 is divided by u(13).
12
Let p(o) = o**3 - 10*o**2 - 11*o + 2660. What is the remainder when 2665 is divided by p(0)?
5
What is the remainder when 2399 is divided by (84/16)/(3850/224 + -17)?
19
Let g(o) be the second derivative of -3*o**5/20 - 5*o**4/6 - 7*o**3/3 - o**2/2 - 6*o - 6. What is the remainder when g(-5) is divided by 39?
38
Suppose 326 = r - 3*t, -2*r - t - 4*t + 685 = 0. Let z = r - 288. What is the remainder when z is divided by 12?
11
Suppose 118428 - 21133 = 145*y. What is the remainder when y is divided by 28?
27
Suppose -y - 11 = -54. Let w = 9315 - 9144. What is the remainder when w is divided by y?
42
Let f(r) = -221*r - 691. Calculate the remainder when f(-13) is divided by 84.
82
Suppose -9*j - 2 = 34. What is the remainder when 284 is divided by j*1/((-8)/82)?
38
What is the remainder when 36/(-5)*-54 + 164/(-205) is divided by 102?
82
Suppose -4*l - 12 = 0, -3*j + 4*l + 1602 - 174 = 0. Calculate the remainder when j is divided by 455.
17
Suppose -22*z + 6287 + 2909 = 0. Calculate the remainder when z is divided by 65.
28
What is the remainder when 702 is divided by ((-3)/5)/((-39)/585)?
0
Let v(q) be the first derivative of q**3/3 + 5*q**2/2 - 90*q - 35. What is the remainder when v(9) is divided by 20?
16
Suppose 82*q - 702 = 80*q. What is the remainder when q is divided by 119?
113
Let j = 32 + -12. Let b = j - 15. Suppose -5*r + 90 = b*o, 0*o = -5*o. Calculate the remainder when 53 is divided by r.
17
Suppose -27101 - 28867 = -53*c. What is the remainder when c is divided by 121?
88
Suppose 7*y + 87*y = 33558. What is the remainder when y is divided by 19?
15
Let l be 2/(1/(1 - 0)). Suppose -5*c = -c - l*g - 26, 3*c = -3*g - 3. Let p = 9377 + -9367. What is the remainder when p is divided by c?
2
Let l = -1446 + 1475. Calculate the remainder when 79 is divided by l.
21
Let p(o) = 2*o + 4. Let y be p(-3). Let s be y - (15/20 - (-9)/4). Calculate the remainder when 127 is divided by 3/s + (-14)/10 + 34.
31
Calculate the remainder when 3165 is divided by (-540)/30*(4/6)/(-3 + 1).
3
Let l = -74 + 77. Suppose 0 = 4*a - l*a - 15. Calculate the remainder when 69 is divided by a.
9
Let f(o) = 361*o + 10846. What is the remainder when (0 + 2)*57/2 is divided by f(-30)?
9
Suppose -82*f - 83 = -5413. What is the remainder when 348 is divided by f?
23
Let j be 2 - 535/(1 + 4). Let g = j + 220. Suppose 5*x + 0*x - g = 0. Calculate the remainder when 45 is divided by x.
22
Let a(p) = 160*p - 2084. Calculate the remainder when a(19) is divided by 317.
5
Let l = -3314 - -3414. Calculate the remainder when 591 is divided by l.
91
Let r = -3204 + 3621. What is the remainder when r is divided by 21?
18
Suppose 11092 = -59*m + 80299. Calculate the remainder when m is divided by 25.
23
Let s(l) = -2*l**3 - 53*l**2 + 174*l - 13. Calculate the remainder when s(-30) is divided by 16.
11
Let t = 3 - -3. Suppose -5*w - 49 = -t*w. Suppose v + w = 4*f - 10, -4*v = -f + 26. What is the remainder when f is divided by 10?
4
Let i(l) = 298*l**3 + 40*l - 41. Calculate the remainder when i(1) is divided by 20.
17
Suppose -4 = -a + 24. Let o be 8/a - (-36)/21. Suppose -o*l = -1 + 3, 12 = 4*z + 4*l. Calculate the remainder when 7 is divided by z.
3
Suppose 71 + 157 = -3*k. What is the remainder when (((-759)/44)/(-23))/((-3)/k) is divided by 9?
1
What is the remainder when (21/294)/(3/(-12))*-17878 is divided by 35?
33
Let i = 107 + -112. Let o(p) = -13*p - 23. Let v be o(i). Let j = v - 38. Calculate the remainder when 4 is divided by j.
0
Let r = -2517 + 2604. Let f = -248 - -292. Calculate the remainder when r is divided by f.
43
Let v be (63/2 - 2)*-2. Let u = 644 - 534. Let h = v + u. Calculate the remainder when h is divided by 14.
9
Suppose 72 = 4*n - 5*p, -4*n + 4*p + 62 + 6 = 0. Suppose n*x - 604 = 9*x. What is the remainder when x is divided by 77?
74
Let v = 54 - 60. What is the remainder when 291 is divided by (-6)/(36/(-318)) - v?
55
Let b(v) = 9*v - 2. Let j(p) be the third derivative of p**5/60 + p**4/6 + p**3 - 16*p**2. Let i be j(-2). What is the remainder when b(i) is divided by 11?
5
Suppose -178208 + 5012 - 374782 = -71*s. What is the remainder when s is divided by 234?
230
Let h = 189 - 152. Let y be 26/5*(-15 + 10). Let n = y + h. What is the remainder when 32 is divided by n?
10
Let r(a) = -37*a + 109. Suppose 0 = 3*j - 5*s + 10, -12 = 3*s - 0*s. What is the remainder when r(j) is divided by 40?
39
Let x = 3048 + -262