).
39
Let g = 6 + 14. Suppose 4*o + 1249 = 3213. Suppose -z + 493 = 5*u, 6*u = u - 2*z + o. Calculate the remainder when u is divided by g.
19
Suppose -l - 59 = -3*x, 10*l + 74 = 4*x + 11*l. Calculate the remainder when 207 is divided by x.
17
Suppose 5*n = 169 + 216. Calculate the remainder when n is divided by 15.
2
Suppose y = 3*y. Let c = 4 + y. What is the remainder when 9 is divided by c?
1
Let a(f) = 2*f**2 - 131*f - 478. Let t be (3/(-9))/(1/3). Calculate the remainder when a(69) is divided by (-6)/1*t/2.
2
Suppose 0*q + 70 = 7*q. Suppose q + 14 = 12*b. What is the remainder when 9 is divided by b?
1
Suppose -3*v - 2*g = -259, -9*g + 11*g - 85 = -v. Calculate the remainder when v is divided by 18.
15
Suppose -3200 = -157*i + 117*i. Calculate the remainder when 299 is divided by i.
59
Let m(d) = 38*d - 18*d**3 + d**2 + 0 - 3 - 42*d. What is the remainder when 58 is divided by m(-1)?
18
Suppose 0 = -x - 1 + 2. Let s = 34 + x. Calculate the remainder when s is divided by 13.
9
Let r = 81 - -1. Let y = -35 + 0. Let o = y - -56. Calculate the remainder when r is divided by o.
19
Let g = 2 + 1. Let b be 0*(-4 - 7/(-2)). Suppose -2*z - 53 = -3*w - 7, b = 3*w + 4*z - 52. Calculate the remainder when w is divided by g.
1
Let q(c) = -7*c - 23. Suppose 48 = 3*d + 5*i - 5, -6 = 3*i. Calculate the remainder when q(-12) is divided by d.
19
Let t(m) = 4*m**2 + 4*m + 1. Let d = 26 + -29. Calculate the remainder when 99 is divided by t(d).
24
Suppose 0*p - 204 = -6*p. What is the remainder when p is divided by 6/15 + 88/5?
16
Let g(a) be the first derivative of -a**3/3 + 6*a**2 - 5*a - 4. Let z be g(5). What is the remainder when 46 is divided by z/2 - (-5 + 4)?
14
Suppose 2 = m, 2*u - 2*m - 15 = 55. Calculate the remainder when 141 is divided by u.
30
Let y = 112 + -107. Calculate the remainder when 445/y - (2 + -2) is divided by 13.
11
Let o(z) = -z + 26. Suppose -i = r + 2, 5*i - 20 = 3*r + 2*r. Let c = r + 17. What is the remainder when o(0) is divided by c?
12
Suppose -4*x + 569 = 29. Suppose -3*c - x = -8*c. What is the remainder when 106 is divided by c?
25
Let v = 1652 - 1640. Let b(l) = 5*l - 7. Calculate the remainder when b(6) is divided by v.
11
Let y = -390 + 407. What is the remainder when 45 is divided by y?
11
Let l(u) = u**3 + 21*u**2 - 52*u + 110. What is the remainder when l(-23) is divided by 42?
38
Let c = -279 - -287. Calculate the remainder when 295 is divided by c.
7
Let k(z) = 6*z + 196. What is the remainder when k(13) is divided by 46?
44
Let t = 19 + -1. Suppose 3 - t = -3*m. Suppose -m*z - 29 = -2*f, 0*z - 4*z = 3*f - 32. What is the remainder when 47 is divided by f?
11
Let o(u) = 4*u + u + 3 - 2*u. What is the remainder when 34 is divided by o(5)?
16
Suppose 17*q = 6998 + 5990. Calculate the remainder when q is divided by 48.
44
Suppose -520 = 9*d - 2716. What is the remainder when d is divided by 65?
49
Let q = 395 + -322. What is the remainder when q is divided by 20?
13
Let z(s) = -s + 57. Calculate the remainder when z(10) is divided by 29.
18
Let u be (-40)/(-2) - (-6 + 6). Let o = -18 + u. Suppose 0 = o*c + 3 + 1, 3*c = -2*g + 8. Calculate the remainder when 33 is divided by g.
5
Let t = -1683 - -1694. Calculate the remainder when 910 is divided by t.
8
Let y(a) = -a**3 - 15*a**2 - 20*a + 148. What is the remainder when 277 is divided by y(-13)?
67
Let s(x) = -74*x - 8. What is the remainder when s(-2) is divided by 6?
2
Suppose -28 = -u - 5*p, -1 - 23 = -3*u + 5*p. Suppose -393 = -29*r - 190. What is the remainder when u is divided by r?
6
Calculate the remainder when 74 is divided by (36 + -24)*(-14)/(-6).
18
Let n(a) = -4*a - 3. Let z(l) = 4*l + 49. Let i be z(-14). Let g = 24 + i. Calculate the remainder when g is divided by n(-2).
2
Let u = -10 - -10. Suppose -5*y + 95 = -u*y. What is the remainder when 36 is divided by y?
17
Let o = -19 - -36. Suppose 2*g - 5*t - 95 = -2*t, 0 = g - 4*t - 50. Calculate the remainder when g is divided by o.
12
Let n(k) = -k**3 + 3*k**2 + 5*k - 7. Let h be n(4). Calculate the remainder when 3 + -2 + h - (-3 - 27) is divided by 16.
12
Suppose 5*s + 3*u - 232 = 0, 3*s + 4*u = -0*s + 137. Calculate the remainder when 124 is divided by s.
30
Let a = -41 - -47. What is the remainder when 57 is divided by a?
3
Calculate the remainder when 227 is divided by -26 - -21 - (-2 + 1 + -79).
2
Let q = -1976 - -1984. Calculate the remainder when 20 is divided by q.
4
Let t(h) be the third derivative of -h**4/12 - 2*h**3/3 - 4*h**2. Let g = -14 + 10. Calculate the remainder when t(g) is divided by 3.
1
Suppose 2*s = 4*b - 16, -4*b + 30 = -0*s + 5*s. Suppose 104 = b*n - n. What is the remainder when n is divided by 7?
5
Let w = 46 - -4. Suppose 4400*u - 4407*u + 77 = 0. Calculate the remainder when w is divided by u.
6
Let n be (-96)/(-80)*(-260)/3. Let h = -68 - n. What is the remainder when 178 is divided by h?
34
Suppose 0 = -2*k - 2*k. Suppose -4*r + 0*r + 68 = k. What is the remainder when r is divided by 25/2*2/(-20)*-4?
2
Let g = 2 - -1. Suppose 0*j + g*j = -5*b + 30, 0 = -5*b. Calculate the remainder when 36 is divided by j.
6
Let z(x) = 49*x - 409. What is the remainder when z(9) is divided by 27?
5
Let u = -87 - 328. Let i be u/4 + 4/(-16). Let j = 156 + i. Calculate the remainder when j is divided by 18.
16
Suppose 0 = h - 1204 - 378. Suppose h = -g + 8*g. What is the remainder when g is divided by 38?
36
Suppose 0 = k + k + 2. Let t be (-1)/(3/(-45)*k). What is the remainder when 2 + (-5)/(t/99) is divided by 12?
11
Let u be (3 + 6/(-3))*583. Suppose -u = -4*p - 5*m, p - 22 = -3*m + 122. Suppose -j - p = -8*j. What is the remainder when j is divided by 12?
9
Suppose 3*c + 36 - 12 = 3*d, 5*c = -2*d - 5. Calculate the remainder when 118 is divided by d.
3
Let z(l) = -5*l - 15. Let c be z(-7). Suppose 4*s = c + 96. What is the remainder when s is divided by 15?
14
Let x(l) = -40 - 51 + 96 + 4*l + l**3 - 8*l**2. Calculate the remainder when x(9) is divided by 31.
29
What is the remainder when 1/(-3) + -5*(-1150)/6 is divided by 31?
28
Let t = 87 - 73. Suppose 4*r - 17 = 15. What is the remainder when t is divided by r?
6
Let o(j) be the second derivative of j**3/6 + 2*j. Let q be o(5). Suppose 3*k - q*k = -116. What is the remainder when k is divided by 15?
13
Suppose -556 + 50 = -23*x. Let n be (3 + 1)*20/16. Suppose n*s = s + 260. Calculate the remainder when s is divided by x.
21
Suppose 3*k = -k - 20, 3*k - 39 = -3*t. Suppose 4*f = -5*z - 4, -3*z + 4*z = -5*f + 16. What is the remainder when t is divided by f?
2
Suppose b + 234 = 238. Suppose b*d = -3*f + 123, 2*f = -5*d + f + 140. What is the remainder when 105 is divided by d?
24
Suppose -2*s - 3*s = -25. Suppose 5*h - 10 = s. Let b = 183 - 177. What is the remainder when b is divided by h?
0
Suppose 4*b + 5*k = 510, 2*b + k - 405 = -153. Calculate the remainder when b is divided by 13.
8
What is the remainder when (-716)/(-18) + 1 + 8/36 is divided by 13?
2
Let w(z) = -50*z - 279. Calculate the remainder when w(-6) is divided by 6.
3
Suppose -48 = -u + 5*b - 8, -b = 3*u - 120. Suppose -u = -2*c - 14. Calculate the remainder when 51 is divided by c.
12
Let c = -642 + 669. What is the remainder when 51 is divided by c?
24
Let n = 234 - 104. Suppose 5*f - 3*g - 4 = n, 3*f - g = 78. What is the remainder when 72 is divided by f?
22
Let a = -28 - -28. Suppose a = -0*g - 2*g + 60. What is the remainder when 131 is divided by (-2)/(-10) + 654/g?
21
Let x = -3 - -5. Suppose 4*h - 572 = -5*r, -x*h = -3*r - 0*h + 330. What is the remainder when r is divided by 23?
20
Let j = -22 + 61. Let k = 55 - j. What is the remainder when 31 is divided by k?
15
Let h be -46*(-2 + 3/2) + 1. Let m = h + -11. What is the remainder when 103 is divided by m?
12
Let z = 502 - 403. What is the remainder when 289 is divided by z?
91
Suppose -q + 40 = 4*q. Suppose 5*w = -u - q, 0*u + u + 4 = -3*w. Suppose 10*f = 9*f + u. What is the remainder when 8 is divided by f?
0
Let u(g) = -6*g + 7. Suppose t = -2*o - 8 + 33, 0 = 5*t - o - 114. Calculate the remainder when u(-6) is divided by t.
20
Suppose 27*c - 643 - 167 = 0. Suppose -25 = -4*o + 3. Calculate the remainder when c is divided by o.
2
Let y(a) = 28*a**2 - a. Let l(x) = -210*x + 1056. What is the remain