b = -54 + 56. Let q be (1 + 11/(-4))/(b/(-104)). Suppose q - 4 = v. Calculate the remainder when v is divided by 22.
21
Suppose 0 = 5*h - 310 + 230. Let v = h + 86. What is the remainder when v is divided by (7/(-2))/((-3)/18)?
18
Let v = -18 + 204. Suppose 0 = -5*z - 66 + v. What is the remainder when 93 is divided by z?
21
Calculate the remainder when 275 is divided by 15 - 2 - (-137 + 130).
15
Suppose -5*k = 4*d - 118, 2*k - 3*d + 4 - 65 = 0. Suppose 27*v - k*v - 48 = -3*j, -18 = -2*j + 4*v. What is the remainder when 672 is divided by j?
12
What is the remainder when (12015/120)/((-5)/(-40)) is divided by 197?
13
Suppose 4*d = 6*d + 4. Calculate the remainder when 15*(d - (5 + -14 - -1)) is divided by 48.
42
Let r = -902 + 490. Let t = 434 + r. What is the remainder when 116 is divided by t?
6
Suppose 4*f - 148 = -64. Calculate the remainder when (0 + 289 + 3)/2 is divided by f.
20
Let v(j) = j**2 + 5*j + 4. Let h be (-66)/2 - (-3 - (-2 + 2)). Calculate the remainder when (-4)/h*3*(-1 + 46) is divided by v(-5).
2
Let t = 44 + 75. Let a = 183 - t. Suppose 29 = p + 4*f, 62 = 923*p - 921*p + 4*f. What is the remainder when a is divided by p?
31
Suppose -5*f + 2 = -163. Suppose 5*i - 3*x + 178 = 0, -4*i - 4*x + 5*x - 141 = 0. Calculate the remainder when (-3440)/i - 6/21 is divided by f.
32
Let n be (-2 - (-4 + 2)) + 21. Calculate the remainder when 414 - (3 + n/6*-2) is divided by 42.
40
Let r = -63 - -78. Suppose -1902 + 972 = -10*b. What is the remainder when b is divided by r?
3
Let d(k) = -k**3 - 35*k**2 - 33*k + 134. What is the remainder when d(-34) is divided by 86?
14
Let k = 5356 + -5313. What is the remainder when 6017 is divided by k?
40
Suppose 4*y - 787 = 3*z, 11*y + z = 16*y - 981. Suppose -y = -15*n - 13*n. Calculate the remainder when 15 is divided by n.
1
Let i(o) = o**2 - 4*o + 3. Let x be i(-7). Suppose -5*z - x = -7*z. Let g(d) = d**3 - 6*d**2 - 6*d + 2. Calculate the remainder when z is divided by g(7).
4
Let m(v) = -77*v - 27 - 74*v - 66*v + 229*v. What is the remainder when m(13) is divided by 35?
24
Let c = 1072 - 68. Let p = c + -564. What is the remainder when p is divided by 37?
33
Suppose 2064 = 27*b + 552 - 1620. Calculate the remainder when 812 is divided by b.
0
Let d(a) = 7*a**2 - 207*a - 1673. Suppose -4*s + 5*f + 140 = f, 4*s - 3*f - 145 = 0. Calculate the remainder when d(-7) is divided by s.
39
Let d(k) = k**3 - 17*k**2 + 12*k + 46. Let s be d(16). Calculate the remainder when 46 is divided by 5 + 3/(s/(-30)).
6
Suppose 4*d + 440 = 9*d. Suppose l = 3*l - d. Calculate the remainder when 305 is divided by l.
41
Let z = -13391 - -16227. Calculate the remainder when z is divided by 20.
16
Suppose 38761 - 103076 = -78*y + 394247. Calculate the remainder when y is divided by 24.
23
Suppose 0 = 2*v - 5*g - 1745 + 221, 0 = -2*v - 2*g + 1552. Calculate the remainder when v is divided by 168.
100
Let v(d) = 103*d**3 + 5*d**2 + 7*d + 4. Let q be v(-2). Let i = 840 + q. Calculate the remainder when i is divided by 8.
2
Let o(q) = 87*q + 96 - 29*q - 34*q - 36*q. What is the remainder when 83 is divided by o(7)?
11
What is the remainder when 220 is divided by (9 - (-1900)/15 - (-1)/3) + 6?
78
Let q(t) = 37*t - 652. Calculate the remainder when q(20) is divided by 5.
3
Let g(d) = 2*d**2 + 12*d + 2. Let z(l) = l - 2. Let a be z(-6). Let w(o) = -29*o. Calculate the remainder when w(-7) is divided by g(a).
33
Let d = 25622 - 21025. Calculate the remainder when d is divided by 1530.
7
Let o = 409 + -406. What is the remainder when 174 - (4 - o) - (-20)/4 is divided by 36?
34
Suppose 0*w - 46 = -2*w. Let i(f) = 282*f + 16729. What is the remainder when i(-59) is divided by w?
22
Let i(d) = d**2 + 4*d + 5. Let c be i(-4). Calculate the remainder when 21*3 + (-4 - -8) is divided by -4*(-13)/2 - 15/c.
21
Let l(r) = -3*r + 53. Suppose -6*o = -66 + 12. What is the remainder when l(o) is divided by 16?
10
Suppose 4*c = 2*c - 3*n + 239, 3 = n. Suppose 9*p = 314 + 64. What is the remainder when c is divided by p?
31
Let d(t) = -15*t - 14. Let k(r) = 7*r + 7. Let x(u) = -3*d(u) - 5*k(u). Let v be x(-2). Let a = v + 26. What is the remainder when a is divided by 4?
1
Suppose -6*p = 4 + 2. Let l(g) = -8*g - 5. Let v be l(p). Suppose 4*t = 5*d + 191, v*t - 6*d = -d + 142. Calculate the remainder when t is divided by 13.
10
Suppose 18*z - 39 = 69. Let n be (-6156)/(-84) + z/(-21). Let i = n + -65. What is the remainder when 12 is divided by i?
4
Let c be 2*(-2)/2 - 19. Let u = c - -18. What is the remainder when 228 is divided by u*1/4*(-90 - -46)?
30
Suppose -5*f - 5*w + 465 = 0, 3*f + 76 = w + 335. Calculate the remainder when f is divided by 93*(4 + (3 + -25)/(2 + 4)).
26
Let j be (-14)/(-161) - 3170/(-46). Suppose -3*t = v - 121, -26*t + 3*v = -28*t + j. Calculate the remainder when 164 is divided by t.
38
Let b = -25 - -9. Let f = -11 - b. Calculate the remainder when ((-80)/32)/(2/(-8)) is divided by f.
0
Let d = 30780 - 30759. Calculate the remainder when 900 is divided by d.
18
Let r be -3*(5 + -36) + 2 + 1. Suppose -18*i - r = -20*i. What is the remainder when i is divided by 26?
22
What is the remainder when (552/644)/(16/8120) is divided by 102?
27
Let h(i) = i**3 - 16*i**2 + 35*i + 19. What is the remainder when 116 is divided by h(3)?
4
Let g be 4/(-18) - (4 + 897/(-27)). Let b = g - 10. What is the remainder when 2/(2*1/73) is divided by b?
16
Suppose 4*s = -2*d - 14, 4*d + 2 = s - d. Calculate the remainder when 462 is divided by 20/(-8)*(-52)/(-15)*s.
20
Let q(y) = 12*y - 1068. Calculate the remainder when 24118 is divided by q(91).
22
Suppose 5*t + 884 = v + 883, t = 3*v - 115. Calculate the remainder when 157 is divided by v.
34
Suppose 4*r + 7*l - 420 = 2*l, -r - l + 105 = 0. Let g = r - 74. Calculate the remainder when 68 is divided by g.
6
Suppose 744*i = 723*i + 756. What is the remainder when 187 is divided by i?
7
Let p be (-17 + 14)/(9/(-6)). Suppose -16*v = 5*h - 12*v - 197, -p*h + 80 = 2*v. Calculate the remainder when 141 is divided by h.
30
Calculate the remainder when 45 is divided by ((-25)/6)/(315/(-1890)).
20
Suppose -55*w - 48*w = 13*w - 812. Suppose 5*z + 15 = -3*g - 0*g, 0 = -3*z + 3*g + 15. Let n(s) = -s + 2. What is the remainder when w is divided by n(z)?
1
Let s = -32 + 38. Let v(l) = -l**3 + 6*l**2 + 5*l + 25. Calculate the remainder when v(s) is divided by 4.
3
What is the remainder when 83136/192 - 3*(-20)/(-6) is divided by 72?
63
Suppose 5*p + 16 = -2*j - j, -p = -4*j + 17. Suppose -3*y + 354 = j*h, 0 = 3*y + h - 371 + 9. What is the remainder when y is divided by 9?
5
Let v = -96 - -296. Suppose 5*f = v + 95. Calculate the remainder when f is divided by 12.
11
Suppose -38 = -3*p + 130. Calculate the remainder when -7*p/((-4)/1) is divided by (5/(-2))/((-2)/16).
18
Suppose -2*v - q = 3*q + 4, -4*q + 2 = -v. Let m(o) = -13*o - 11. Let z be m(v). Suppose 5*b - z = 2*b. Calculate the remainder when 28 is divided by b.
3
Suppose -4*q = -12*d + 8*d - 2552, 5*q - d - 3210 = 0. What is the remainder when q is divided by 54?
49
Suppose 453*w - 451*w = -10. Let b(v) be the third derivative of v**4/24 + 7*v**3/6 + 4*v**2. Calculate the remainder when 4 is divided by b(w).
0
Suppose -10 = -2*t + a + 101, 0 = -5*t + 3*a + 277. Let d = 108 - t. Calculate the remainder when 256 is divided by d.
48
Let i = 6124 + -5819. Calculate the remainder when 498 is divided by i.
193
Suppose 82*w - 6196 = -3150 + 18438. Calculate the remainder when 1276 is divided by w.
228
Let t = -1676 + 1857. What is the remainder when t is divided by 66?
49
Suppose -3*y + 64 = 37. Suppose 8*x - 185 = -y. Let u(d) = -23*d - 5. What is the remainder when u(-4) is divided by x?
21
Suppose l - 897 = 2*x, 5*x = -3*l - 0*l + 2768. What is the remainder when l is divided by 145?
41
Let i(s) = -s**3 - 30*s**2 - 9*s. Let w be i(-30). Suppose 0 = -2*u - 2*u + 128. Calculate the remainder when u is divided by 16/(-3)*w/(-120).
8
Suppose -45 = -7*t + 46. Calculate the remainder when -7 - 212*(-3 + (-15)/(-6)) is divided by t.
8
Suppose -5*z + 353 + 1677 = 0. Suppose -q - q + z = 0. Let x(b) = -14*b**2 + 230*b - 55. Calculate the remainder when q is divided by x(16).
39
What is the remainder when 117 is divided by 146/14*(-6 - -13)?
44
Let i