16
Let u be 56/(-7) + 7 + -6. Let k(w) be the second derivative of w**4/6 + 7*w**3/6 + 4*w**2 - w. Calculate the remainder when k(u) is divided by 10.
7
Suppose -276 - 508 - 678 = -43*x. Calculate the remainder when 38 is divided by x.
4
Suppose 954 = 13*l + 330. Suppose 3*t + q = 290, 5*q - 19 - 6 = 0. What is the remainder when t is divided by l?
47
Suppose -764*v + 40669 = -157*v. Let q = 998 + -666. What is the remainder when q is divided by v?
64
Let v = 8 - 3. Calculate the remainder when 319 is divided by -4*v/(10/(-16)).
31
Suppose -388*q = -381*q - 3521. Calculate the remainder when q is divided by 23.
20
Suppose 8*n = 7*n + 28. Suppose 0 = -3*l - 3, 2*o + 14 - 137 = 3*l. Let x = o - -19. What is the remainder when x is divided by n?
23
Let l(r) be the third derivative of r**5/60 - 25*r**4/24 + 29*r**3/6 - 2*r**2 - 15*r. What is the remainder when l(28) is divided by 38?
37
Suppose -35*m - 2*m = 222. Let l(f) = -f + 29. Calculate the remainder when 95 is divided by l(m).
25
Let m = 4507 + -4141. What is the remainder when m is divided by 23?
21
Let o = 4092 - 4090. What is the remainder when 527 is divided by o?
1
Let a(j) = -j**3 - 4*j**2 - 34*j + 6. Suppose 2*l - 25*r = -21*r - 8, -2*r = l + 4. Calculate the remainder when a(l) is divided by 31.
18
Suppose -2*q + 12956 = -5*k, 0 = 4*q - 123*k + 118*k - 25902. Calculate the remainder when q is divided by 166.
165
Let o = -19 - -53. Let r = 69 - o. Calculate the remainder when r is divided by (-162)/(-14) - 6/(-14).
11
Let q(m) be the third derivative of -m**4/24 + m**3 - 9*m**2. Let o be q(-3). Let a = o + 14. Calculate the remainder when 89 is divided by a.
20
Let r = 7262 - 7204. What is the remainder when 339 is divided by r?
49
Let y be (-9 - 234/(-12))*744/(-14). Let d = 607 + y. Calculate the remainder when 216 is divided by d.
20
Let r be (-21)/(-23) + 18/207. Let x = r + 20. Calculate the remainder when x is divided by 5.
1
Let q(g) = -g**2 - 7*g - 6. Suppose u + 31 = 41. Suppose -u = -5*t - 0. Calculate the remainder when q(-4) is divided by t.
0
Suppose -68*i + 2599 + 1694 - 281 = 0. Suppose 2 = -d + 18. Calculate the remainder when i is divided by d.
11
Let r(n) = 17 + n + n**3 + 7*n + 3*n**2 + 3*n**2 - 17*n. Let t be r(4). Calculate the remainder when 24 is divided by 1 + (-11)/9 + t/27.
4
Suppose -123054 = -6*m + 4*k, -44458 - 58065 = -5*m - 4*k. What is the remainder when m is divided by 14?
11
Let q(h) = 5*h**2 - 3*h + 3. Suppose -3947*b = -3958*b + 693. What is the remainder when b is divided by q(2)?
12
Suppose 7854 = 4*y + 38*y. What is the remainder when y is divided by 12?
7
Let x(q) = 67*q + 12642. What is the remainder when 2675 is divided by x(-186)?
155
Suppose 151*k - 150*k = 0, 0 = 2*z - 2*k - 1916. Calculate the remainder when z is divided by 96.
94
Let f = 1545 - 1518. Calculate the remainder when 485 is divided by f.
26
Suppose -1173 = 48*s - 2766 - 1959. Let w = -23 - -43. Calculate the remainder when s is divided by w.
14
Let x = -310 - -313. Suppose x*m + 204 = 3*l, 0 = l + m - 75 + 17. Calculate the remainder when l is divided by 4.
3
Let r(i) = -21*i - 189. What is the remainder when 515 is divided by r(-21)?
11
Let b(y) = y**3 - 21*y**2 - 34*y - 95. What is the remainder when b(23) is divided by 71?
39
Calculate the remainder when (538 - 1) + 91/7 + (28 - 41) is divided by 84.
33
Suppose 37*z + 126 = 43*z. Let o(s) = 3*s - 58. What is the remainder when 3/2*(-28)/(-6) is divided by o(z)?
2
Let a = 190 - 227. Let k(f) = f**3 - 9*f**2 + f - 7. Let m be k(9). Let i = m - a. What is the remainder when i is divided by 14?
11
Suppose -3*x = k + 16 - 12, 0 = -4*k - 5*x + 5. Calculate the remainder when 471 is divided by k.
1
Suppose 35 = 5*x - q, -3*x = -0*x - q - 19. Calculate the remainder when 16005 is divided by x.
5
Suppose 59 = 2*s + 25*i - 28*i, -5*s + 85 = 5*i. Let a(p) be the first derivative of -23*p**2/2 - 4*p - 1. What is the remainder when a(-3) is divided by s?
21
Let a(z) = -10*z**3 + 2 - 11*z + 7*z**3 + 2*z**3 - 2*z**2 + 11*z. Suppose 0*f + 4 = 2*x + f, 3*x = 5*f + 19. Calculate the remainder when a(-3) is divided by x.
2
Let i = 58 - 52. Let j(y) = -y**2 + 13*y - 28. Let v be j(i). Let s(x) = x - 2. What is the remainder when 44 is divided by s(v)?
8
Let u(v) = 2*v + 3. Let y be -4*(-3)/18*(4 - 1). Let x be u(y). Let p(w) = w**2 + 2. Calculate the remainder when p(x) is divided by 13.
12
Suppose -2*w + 413 = -w. Suppose 5*z = w - 108. Let v(a) = a**3 - 17*a**2 + 74*a - 30. What is the remainder when z is divided by v(6)?
7
Suppose -760 + 1155 = 4*g - p, -2*g = -5*p - 211. Calculate the remainder when 371 is divided by g.
77
Let r(t) = -4*t**3 - 81*t**2 - 25*t - 46. What is the remainder when 215 is divided by r(-20)?
53
Let a be (-1046)/8 + 1/(-4). Let p = a - -147. Suppose -116 = 2*b - 6*b - 2*h, 0 = -3*b + 5*h + 100. Calculate the remainder when b is divided by p.
14
Let q(n) = -8*n**2 + 61*n - 12. Suppose -4*y - 76 = -6*y. Calculate the remainder when y is divided by q(7).
15
Let h = 23991 + -22620. What is the remainder when h is divided by 65?
6
Let q = -4168 + 4186. Calculate the remainder when 1456 is divided by q.
16
Let o(d) = -6 + 2*d**2 + d + 16 + 5. Calculate the remainder when o(-7) is divided by 28.
22
Let f = 1195 - 643. What is the remainder when f is divided by 3?
0
Let u = 40 - 12. Let r = 3091 - 2842. What is the remainder when r is divided by u?
25
Let w(y) = -423*y - 4218. What is the remainder when 1390 is divided by w(-10)?
10
Let t = 5119 - 5041. What is the remainder when t is divided by 27?
24
Suppose -d + 347 = 4*r, 0 = -217*d + 215*d - 5*r + 694. Calculate the remainder when d is divided by 45.
32
Let s = -2276 + 3826. What is the remainder when s is divided by 262?
240
Let s = -410 + 431. Calculate the remainder when ((-1)/(-3))/(s/11214) is divided by 9.
7
Suppose -2*x + 5*k + 542 = -614, -2*x = 2*k - 1100. Calculate the remainder when 568 is divided by x.
10
Let x = 4579 - 4511. Calculate the remainder when 172 is divided by x.
36
Let l be (17 - (2 - 0)) + 2. Suppose l*b + 74 = 19*b. Calculate the remainder when 628 is divided by b.
36
Suppose -1095 = -3*o - 2*p, 804 = 4*o + 2*p - 658. Suppose -t + o = 5*m, -32*m = 5*t - 35*m - 1695. What is the remainder when t is divided by 15?
12
Suppose 104 = 5*l + 2*z, -129 = -6*l - 5*z + 2*z. Calculate the remainder when 5811 is divided by l.
15
Suppose -6 - 10 = -4*t. Suppose -o = 3*i + t*o - 140, -4*i + 2*o + 230 = 0. Calculate the remainder when i is divided by ((-12)/(-5))/(117/975).
15
Suppose 83 = 5*q + s - 2*s, 2*q - 4*s - 44 = 0. Calculate the remainder when q is divided by ((-1653)/(-171) - 1) + (-2)/3.
0
Suppose 0 = -y + 1138 + 134. Suppose 4*w = -4*w + y. Calculate the remainder when w is divided by 7.
5
Let o = 10 + -236. Let c = 286 + o. What is the remainder when c is divided by 32?
28
Suppose 6*g - 100 = 8. Let o = g + -15. Calculate the remainder when 37 is divided by 78/65*20/o.
5
Calculate the remainder when 2927 is divided by -1*(-2 - (93 + (-12)/(-2))).
99
Let l = 31 - 23. Suppose -214 = -3*b - 11*h + 13*h, 288 = 4*b - 4*h. What is the remainder when b is divided by l?
6
Let w = -30475 - -30531. Calculate the remainder when 2075 is divided by w.
3
Suppose 0 = -12*d + 2*d + 150. Let y(p) = 58*p**2 + p. Let u = 17 - 18. Calculate the remainder when y(u) is divided by d.
12
Let k = -56 - -150. Let n = 496 - k. Calculate the remainder when n is divided by 27.
24
Let b(i) be the second derivative of i**4/12 - 7*i**3/6 + 43*i**2/2 - 44*i. What is the remainder when b(10) is divided by 36/2 + 6/3?
13
Let x be 10/50 + (10494/10)/3. Suppose -2*m - 10 + x = 0. What is the remainder when m is divided by 57?
56
Suppose 3*q - 7*l = -10*l + 183, 0 = 4*q - 2*l - 214. What is the remainder when 1229 is divided by q?
53
Let b(i) = 28*i - 66. Calculate the remainder when 1402 is divided by b(3).
16
Let d(w) = -w**3 - 4*w**2 - 6*w + 4. Let y = 37 - 22. Suppose -3*c - y = 2*k, 3*c = -11 + 2. Calculate the remainder when 51 is divided by d(k).
12
Let r = -22070 + 22120. What is the remainder when r is divided by 12?
2
Let k(n) = -664*n - 646. What is the remainder when 2566 is divided by k(-1)?
10
What is the remainder when 1000 is divided by ((-590)/40)/((-5)/20)?
