 - 54. What is the remainder when (-28)/d - (-6)/(-15) is divided by 1?
0
Suppose 2*a = 2*q + 51 + 9, -5*a + 3*q = -146. Calculate the remainder when 307 is divided by a.
27
Let j(a) = a**2 + 3*a - 3. Let i = -1114 + 1139. Calculate the remainder when i is divided by j(3).
10
Let z be 79/5 - (-4)/(-5). Suppose z = 4*j - j. Suppose 4*k = 3*s + 58, -j*s + 2*s = -2*k + 32. Calculate the remainder when 24 is divided by k.
11
Let i = -625 - -674. Calculate the remainder when i is divided by 17.
15
Let t(f) = f**2 - 6*f + 11. Let x be t(4). Suppose 8*a + x*h = 4*a + 120, 4*a - 96 = 3*h. What is the remainder when a is divided by 15?
12
Suppose 10*q = 824 + 696. What is the remainder when q is divided by 39?
35
Let b be (-13)/(-1) - (12 + -11). Suppose 0 = -b*z + 16*z - 24. Suppose -4*w = -z*w + 42. What is the remainder when w is divided by 12?
9
Let y(u) = u**2 - 3*u - 6. Let n(g) = -g**3 - 7*g**2. Let z be n(-7). Let q be (-2 + (-3 - z))/(-1). Calculate the remainder when 11 is divided by y(q).
3
What is the remainder when 1 - 12/8 - 107/(-2) is divided by 16?
5
Let z = -117 - -77. Calculate the remainder when (-2456)/z + (-6)/15 is divided by 9.
7
Let i(q) = 61*q**3 - q**2 + q + 1. Calculate the remainder when i(1) is divided by 21.
20
Let t be (-7)/((-2)/7 + 3/(-14)). Calculate the remainder when 42 is divided by (3 + -5)/t + 113/7.
10
Let y(o) = 5*o - 67. What is the remainder when 138 is divided by y(19)?
26
Let t = 22 + -31. Suppose -2*a + 26 = 24. Calculate the remainder when 2/(-6) + (-21)/t is divided by a.
0
Suppose -2*a + 29 = -67. Suppose -37*u + 128 = -29*u. Let q = a - u. Calculate the remainder when 63 is divided by q.
31
Let v be (-6)/36*-6*(1 - -1). Suppose 4*b = 3*k + 354, -2*b + 358 = v*b - 5*k. What is the remainder when b is divided by 44?
43
Let z = 21 - 51. Let p be z/(-9)*(-48)/(-10). What is the remainder when 4 is divided by 4*(p/4)/8?
0
Suppose -2*y + 0*y + 232 = 0. Suppose -7*r + y + 3 = 0. Calculate the remainder when 32 is divided by r.
15
Calculate the remainder when 4 + (-4)/(-4) + 9*6 is divided by 4.
3
Let q(o) = o**3 - 12*o**2 + 8*o + 11. What is the remainder when 326 is divided by q(12)?
5
Suppose -11*a + 281 + 874 = 0. Calculate the remainder when a is divided by 36.
33
Let r(u) = -5*u**2 - 4*u - 3. Let s be r(4). Let o = -46 - s. Let l(c) = c**3 + 6*c**2 - 11*c - 10. Calculate the remainder when o is divided by l(-7).
17
Suppose -407 = 4*k + 173. Let q = -84 - k. Calculate the remainder when q is divided by 16.
13
Let r = -5 - 40. Let b = r - -56. What is the remainder when 20 is divided by b?
9
Suppose -4*x - 14 = -h, 2*h - 10 = 3*x + 13. Calculate the remainder when 249 is divided by h.
9
Suppose -q + 891 = 3*w + 206, q = 4*w + 650. What is the remainder when q is divided by 24?
22
Suppose 4*l + 5*o = -0*o + 968, -l + o = -242. Calculate the remainder when l is divided by 65.
47
Suppose -2*k - 5 = -k. Let o(n) = -n + 13. Calculate the remainder when 87 is divided by o(k).
15
Let f(o) = -o**3 - 4*o**2 + 2*o - 5. Suppose -3*v - 20 = -7*v, -d + 3*v = -7. Suppose d = 3*x - 95. What is the remainder when x is divided by f(-5)?
9
Let q = 79 + -39. Suppose 0 = -7*r + 117 - q. What is the remainder when 41 is divided by r?
8
Suppose z - 19 = 207. What is the remainder when z is divided by 58?
52
Suppose -5*l + 5*c + 818 + 547 = 0, 2*c - 288 = -l. Calculate the remainder when l is divided by 31.
30
Suppose y = 2*y - b - 101, -4*b - 206 = -2*y. Suppose -3 = -3*l + y. What is the remainder when l is divided by 13?
8
Suppose -2*c + 34*c = 4352. What is the remainder when c is divided by 39?
19
Suppose -2*y + 3*y - 4*s = 18, -5*y = 3*s - 113. Let t = -94 + 157. What is the remainder when t is divided by y?
19
Let r be 2/4*2 - -2. Calculate the remainder when 1/(-3) - (-112)/r is divided by 396/(-40) + 10 + 99/10.
7
Let w = 3 - 2. Suppose 0 = 18*s - 422 + 242. What is the remainder when 2 - (-2 + w - 24) is divided by s?
7
Let u be (18/(-7))/(18/924). Let v = -56 - u. Suppose x = -x + v. What is the remainder when x is divided by 21?
17
What is the remainder when (-22*(-9)/24)/((-66)/(-176)) is divided by 8?
6
Let a(q) = -q**3 - 5*q**2 + 11*q - 5. Calculate the remainder when 45 is divided by a(-7).
13
Let o(t) = -t + 12. Suppose 2*f + l + 2*l = -4, -2*l + 4 = 3*f. Let k be o(f). Calculate the remainder when ((-488)/(-20))/(k/20) is divided by 21.
19
Suppose 0 = -j - 12 + 14. Suppose 3*r = -4*u + 62 + 14, 57 = 3*u - j*r. Suppose -3*l + 8*l - 365 = 0. What is the remainder when l is divided by u?
16
Let i(r) = 4*r**3 - 2*r**2 + r - 2. Let n be (78/12)/(2/4). Let k = n + -10. Calculate the remainder when i(k) is divided by 23.
22
Let r = -51 - -53. Let k = 49 - 29. Suppose -r*q + k = -0*q. What is the remainder when 37 is divided by q?
7
Suppose 11*n + 124 = 15*n. Calculate the remainder when 104 is divided by n.
11
Suppose 29*b - 409 = 200. Calculate the remainder when b is divided by 3*(-5)/(-3) + 2.
0
Let f = 0 + 23. Calculate the remainder when 274 is divided by f.
21
Calculate the remainder when (-1299)/(-15) + 18/(-150)*5 is divided by 11.
9
Let s(t) = t**2 - 6*t - 19. What is the remainder when 142 is divided by s(9)?
6
Suppose -5*a = -5*f + 230, 0 = -4*a + 8 - 0. What is the remainder when f is divided by 27?
21
Suppose o = -o + 50. Suppose -5*l = 4*z - 26, 4*z + 4*l - 9*l - 6 = 0. What is the remainder when o is divided by z?
1
Let z(j) = j + 3. Let d = -4 - -7. Suppose 6*g - 2*g = -2*p - 8, -4*g - d*p = 12. What is the remainder when 3 is divided by z(g)?
0
Suppose 4*l + 2048 = 4*i + 6*l, 1535 = 3*i + 2*l. Calculate the remainder when i is divided by 37.
32
Suppose -4*q - 15*q + 361 = 0. Let l(v) be the first derivative of -v**2/2 - v - 3. What is the remainder when q is divided by l(-8)?
5
Suppose 19*s - 21*s + 873 = -h, -5*s = 4*h - 2150. Calculate the remainder when s is divided by 29.
28
What is the remainder when 256 is divided by 43*(-2 + 0)/(-2)?
41
Let a(z) = -z**3 - 7*z**2 + 2*z - 11. Let t(v) = v**2 + v + 1. Let x(q) = -a(q) + 2*t(q). Let d = -71 + 62. Calculate the remainder when x(d) is divided by 8.
5
Let n = -22 + 25. Suppose 155 = 3*y + z, -y - n*z = -2 - 63. Suppose 4*j + 3*i = 100, 0*i + y = 2*j - i. What is the remainder when j is divided by 7?
4
Let u = -1211 + 1237. Calculate the remainder when 414 is divided by u.
24
Let q = 166 + -145. Calculate the remainder when 578/14 - 2/7 is divided by q.
20
Suppose 2725 = 7*j + 506. What is the remainder when j is divided by 35?
2
Suppose 0 = 5*z - 2*f - 6, 0 = 2*z - 5*f - 0*f + 6. What is the remainder when 21 is divided by z?
1
Let a = 65 - -58. Let m = -82 - -114. What is the remainder when a is divided by m?
27
Let g(m) = 30*m - 91*m - 2 + 33*m + 35*m. Calculate the remainder when g(17) is divided by 10.
7
Let d be (((-3)/(-4))/1)/(3/204). Let r be (-12)/(-30) + (-916)/(-10). Let g = r - d. What is the remainder when g is divided by 11?
8
Suppose i - 6 = 2*u, i + 11*u - 15*u - 2 = 0. What is the remainder when 109 is divided by i?
9
Let v(a) be the third derivative of -5*a**4/8 + a**3 + 4*a**2. Calculate the remainder when v(-13) is divided by 51.
48
Suppose 0*f + 40 = 2*f. Let y(v) = -v**3 - 9*v**2 + 10*v - 15. Let m be y(-11). Suppose 4*b - 35 = m. What is the remainder when b is divided by f?
18
Let t = 154 + -109. Suppose 0 = o + 3*j - 32, 0 = -o + 5*j + 9 + 31. Let i = o + -11. What is the remainder when t is divided by i?
21
Suppose 5*h = 5*x - 460, -4*x + 3*h = x - 458. Let k = 139 - x. What is the remainder when k is divided by 13?
9
Let r be (-9)/(-12)*(-32)/(-6). Suppose -r*h = -5*h + 1. Suppose 0 = i + j + h - 17, 2*j + 2 = 0. Calculate the remainder when i is divided by 9.
8
Let b be (0/(-1) + -465)/1. Suppose 44 - 4 = 2*h. Calculate the remainder when b/(-8) + (-4)/32 is divided by h.
18
Let r(u) = 22*u + 3. Let i be r(1). Let d = i + -6. Calculate the remainder when 56 is divided by d.
18
Suppose 5*p - 131 = -286. Suppose -3*j + 4*j + 3*w + 12 = 0, j + 5*w = -14. Let o = j - p. Calculate the remainder when o is divided by 13.
9
Suppose 2*d - 150 = -116. Let i(n) = 22*n - 7. Calculate the remainder when i(4) is divided by d.
13
Let q = 1309 - 1258. Suppose 4*n - 70 = -n. What is the remainder when q is divided by n?
9
Suppose 1258 