
14
Let g(a) be the first derivative of a**3/3 + 5*a**2/2 - 15*a + 21. Let q be g(-9). Suppose -100 = q*m - 26*m. Calculate the remainder when 79 is divided by m.
19
Suppose 0 = 3*y + 3*n - 22442 - 23083, y = 3*n + 15147. What is the remainder when y is divided by 39?
36
Suppose 1417*b - 361 = 1416*b. What is the remainder when b is divided by 78?
49
Let p(c) = 2*c**2 + 135*c + 1920. What is the remainder when p(-64) is divided by 213?
194
Suppose -23*x - 440 = -33*x. Suppose -2*t + x = 4*c, 0 + 4 = -t. Calculate the remainder when 116 is divided by c.
12
Let z = 764 - 369. What is the remainder when z is divided by 38?
15
Suppose -g + 9 - 6 = -3*h, g - 4*h = -1. What is the remainder when 2170 is divided by g?
10
Suppose -m - 198 = -4*n + 154, -n + 109 = 5*m. Let x(b) = 31*b - 823. Calculate the remainder when n is divided by x(28).
44
What is the remainder when 102 is divided by -399 + 462 - (-13 + 0)?
26
Suppose -143*m + 177*m = 1088. Suppose 0 = 2*o, -4*t + 314 - 30 = 5*o. Calculate the remainder when t is divided by m.
7
Suppose 11 = 5*k - 14. Let m(z) = -z**2 + 35*z - 174. What is the remainder when m(23) is divided by k?
2
Suppose -5*x + 126 = -3*x. Suppose x*z - 60 = 59*z. Let m = z + 76. What is the remainder when m is divided by 23?
22
Let b = -63 + 68. Let o be b/2*(-36)/10. Let p(f) = -8*f + 25. Calculate the remainder when p(o) is divided by 20.
17
Suppose 4*g - y = 234, 64 = 2*y + 68. Calculate the remainder when g is divided by ((-8)/6)/(2/(-63)).
16
What is the remainder when 755 is divided by -9*(6184/(-456) - 2/19)?
17
Suppose 21*u = 70*u - 28812. Calculate the remainder when u is divided by 118.
116
Let d be 27/(-54)*8*-1. Let f be d/5 + 16/5. Suppose 15 + 12 = y - 4*x, -2*y + 34 = -f*x. Calculate the remainder when 26 is divided by y.
5
Let i(r) = 3*r**3 + 93*r**2 - 200*r - 48. Calculate the remainder when 2104 is divided by i(-33).
16
Suppose -5*v - 7*v + 96 = 0. Let c(a) = -a**2 + 5*a + 34. Calculate the remainder when c(v) is divided by 2.
0
Let m(q) = 2*q**3 + 7*q**2 - 7*q. Calculate the remainder when 347 is divided by m(-4).
11
What is the remainder when (0 - -5 - 7536/(-32))*2 is divided by 24?
1
Suppose 7*u - 17 = 4. Suppose 0 = -0*w + u*w - 24. Calculate the remainder when (w/(-20))/((-1)/35) is divided by 9.
5
Suppose -4*l + 40 = g, 5*g - 11 + 31 = 0. Let j = 49 - 44. Suppose -12*o - 3*s + 44 = -8*o, j*s - 28 = -o. What is the remainder when l is divided by o?
3
Let t(k) = 2*k + 10 + k**3 - 6*k + 5*k. What is the remainder when (-3 - (2 - 150))*3/(8 + 7) is divided by t(0)?
9
Suppose 4*w - 1188 = 3*x + 199, 0 = -5*w - x + 1748. What is the remainder when w is divided by 21?
13
Let i(y) = -3*y**2 + 27*y + 21. Let d be i(9). What is the remainder when d/(-42)*908/(-1) is divided by 24?
22
Suppose 0 = -85614*u + 85628*u - 171836. Calculate the remainder when u is divided by 2.
0
Let d = -8577 - -8615. Calculate the remainder when 2265 is divided by d.
23
Let o = -1707 - -1746. What is the remainder when 499 - -4 - 3/(-3) is divided by o?
36
Let x = -25551 - -26149. Calculate the remainder when x is divided by 139.
42
Suppose -2*x - 36 = x - w, 2*w = -2*x - 24. Let n be (-4)/(x/9)*24/4. What is the remainder when n/63 + (2 - 117/(-7)) is divided by 10?
9
Suppose 5*g = 67 - 7. Let c(p) = 6*p + 9*p**2 + g + 138*p**3 - 4 - 137*p**3. What is the remainder when c(-6) is divided by 12?
8
Suppose -103881*h = -103864*h - 8245. Calculate the remainder when 1870 is divided by h.
415
Suppose 0 = -b + 22 - 63. Suppose 0 = -3*z - 3*x - 10 - 8, 3*x + 12 = 0. Let a = z - b. What is the remainder when 115 is divided by a?
37
Suppose -3*h = -h - 2*b - 182, -455 = -5*h - 5*b. Let s = 89 - h. Calculate the remainder when ((-54)/36)/(s/12 + 0) is divided by 8.
1
Let t(b) be the first derivative of -3*b**2 - 55*b + 53. Calculate the remainder when 63 is divided by t(-12).
12
Suppose 0 = -25*x + 39*x - 266. Calculate the remainder when (7 - (12 - 8)) + (2 - -70) is divided by x.
18
Let p(q) = 29*q + 352. Let k be p(-12). Suppose -3*s - 5*z = -665, k*z = -s + 3*z + 225. What is the remainder when s is divided by 8?
6
Suppose 3*y - 39*p = -38*p + 83238, 2*y - 55509 = -5*p. What is the remainder when y is divided by 125?
122
Let y(r) = r**2 - 752*r + 310. Calculate the remainder when 636 is divided by y(0).
16
Suppose -117 = -10*r - 597. What is the remainder when 94 is divided by r - -48 - 32*-1?
30
Let x = -36 + 56. Suppose 0 = -3*s - 2 - 1. Calculate the remainder when (228/1)/4 - s is divided by x.
18
Suppose -60*v = 33*v + 189 - 1863. What is the remainder when 4336 is divided by v?
16
Let o(v) = 3*v**2 + 10*v + 3. Let n be o(-4). Suppose -4*l + 4*f + 33 = -f, -3*f = 2*l - n. What is the remainder when (10/(-21)*-9*l)/1 is divided by 17?
13
Let f = -3337 - -4400. Calculate the remainder when f is divided by 76.
75
Suppose -81 - 60 = -15*y - 6. What is the remainder when 1347 is divided by y?
6
Let o = -11565 + 11697. Calculate the remainder when o is divided by 0 + 9/3*3.
6
Let q be (51 - -24)/(1/3). Suppose -17*m + 2*m + q = 0. Calculate the remainder when -1 - 29/(-1)*2 is divided by m.
12
Let d = -6 - -19. Suppose 2*f + s = 6*f - d, -3*f - s + 15 = 0. Suppose b = 4, -f + 16 = v - 2*b. What is the remainder when v is divided by 7?
6
Suppose 0*k - 4*k + 16 = 0. Suppose -2*j - j + k*h + 109 = 0, 132 = 4*j - 2*h. Calculate the remainder when (-971)/(-8) - (76/32 - 2) is divided by j.
28
Suppose -47 = -u - 10*k - 37, 3*u - 30 = 3*k. Suppose -7*y - 2*a = -3*y - 626, -4*a + 310 = 2*y. What is the remainder when y is divided by u?
7
Suppose 4*w - 50 = -38. Suppose 7*f = -395 + 80. Let q = f + 59. Calculate the remainder when q is divided by w.
2
Suppose -39*y - 187*y = 36*y - 21222. Suppose z + 371 = 4*q, -z + 0*z - 3 = 0. Suppose 13 + q = 5*r. Calculate the remainder when y is divided by r.
18
Let r be (-2)/(((-2)/(-2))/(527/2)). Let u = 548 + r. Calculate the remainder when 207 is divided by u.
18
Let h be (0 - -2)/((-2)/(-13)). Let n(q) = -q**2 + 15*q - 3. Let d(z) = -z + 113. Calculate the remainder when d(52) is divided by n(h).
15
Let z(j) be the second derivative of j**5/5 + j**4/12 - j**3 - j**2/2 + 73*j. What is the remainder when z(2) is divided by 17?
6
Suppose 3*t - 3*w - 261 = 0, -4 - 413 = -5*t - 4*w. What is the remainder when ((-19)/(-266))/(2/(-156))*-91 is divided by t?
82
Let i be 68 + -1*(-2 + -2). Suppose -i*o = -75*o - 576. Let j = o - -385. What is the remainder when j is divided by 13?
11
Let a(c) = 4*c**2 - 4*c. Let u = -4704 + 4762. What is the remainder when u is divided by a(-3)?
10
Suppose 23 + 1 = -8*f. Calculate the remainder when 4 + (39 - (-4)/2) is divided by (-1)/(-2*f/(-150)).
20
Suppose 408 = 5*g + 49*q - 53*q, -2*g + 159 = -q. Calculate the remainder when 6306 is divided by g.
74
Let m(o) = -18*o - 388. What is the remainder when 2239 is divided by m(-34)?
223
Let p = 25805 - 22438. Calculate the remainder when p is divided by 1677.
13
Suppose 65*n - 63*n = 36. Let y = -21 + 20. Let b = n + y. Calculate the remainder when b is divided by 9.
8
Let y(j) = -4*j**3 - j**2 - 6*j - 5. Let x(c) = -10*c + 99. Let h be x(10). What is the remainder when y(h) is divided by (-1 - 2)/((-9)/6)?
0
Suppose -8*y + 10*y = 16. Let c = -2856 - -2949. What is the remainder when c is divided by y?
5
Let c(h) be the second derivative of h**3/3 - 55*h**2/2 - 51*h. Calculate the remainder when 25 is divided by c(32).
7
Suppose 4*u = 2*u + 158. Let q = -532546 + 533016. Calculate the remainder when q is divided by u.
75
Let n = -628 - -616. What is the remainder when (198/24)/((-9)/n) is divided by 2?
1
Suppose 4*a = 16, 4*y - 646 = -a + 14. What is the remainder when 352 is divided by y?
24
Let c = -508 + 1264. Let o = c + -722. What is the remainder when 338 is divided by o?
32
Suppose -5*v + 39 - 4 = 0. Suppose -3*f = -6*f + 243. Calculate the remainder when f is divided by v.
4
Suppose 5*w - 170 = 4*j + 124, 2*w - 112 = -4*j. What is the remainder when 49/((-3920)/(-120)) + (-2706)/(-12) is divided by w?
53
Let p(u) = -u**3 - 26*u**2 + 30*u + 95. What is the remainder when 75 is divided by p(-27)?
5
Let z(b) = 17*b + 49. Let m(o) = 16*o + 50. Let r(j) = -3*m(j) + 2*z(j). What is the remainder when r(-7) is divided by 12?
