199. Suppose 8*x - 46 - 26 = q. Calculate the remainder when 125 is divided by x.
8
Suppose -6*l = 2*l - 96. Suppose -2*t = s + l - 42, 6 = 2*t - 5*s. Suppose t = k - 62. Calculate the remainder when k is divided by 16.
11
Let a(h) = 15*h**2 - 44*h + 1. Suppose -2*c = -5*c + 3. Suppose -c = -3*y + 2*m - m, 0 = -4*y + 2*m. What is the remainder when a(3) is divided by y?
0
Let s = -8285 + 9447. Calculate the remainder when 2326 is divided by s.
2
Let y = 173 + -161. What is the remainder when 100 is divided by (y - 20)/(-1 + (-7)/(-9))?
28
Let g = -98 + 506. Suppose -g = -177*j + 175*j. Calculate the remainder when j is divided by 14.
8
Suppose 0 = h, -2*j + 64 = -3*h + 10. Let t be (16 - 15)/((-2)/(-18)). Let m(p) = 4*p - 28. What is the remainder when j is divided by m(t)?
3
Let x = 3579 - 3325. What is the remainder when x is divided by 27?
11
Calculate the remainder when 35 is divided by -2 - (8 + -16) - 0 - 1.
0
Let m(t) = 43*t - 2536. Calculate the remainder when m(61) is divided by 51.
36
Let t(x) = 37*x**2 + 141*x - 650. Calculate the remainder when 557 is divided by t(4).
51
Let v(j) = -2*j**3 - 148*j**2 - 33*j - 240. Calculate the remainder when v(-74) is divided by 170.
162
Let m(k) = -k**3 + 15*k**2 + 17*k + 15. Suppose 27 = 9*h - 360. Let u = h + -27. Calculate the remainder when m(u) is divided by 8.
7
Suppose -2*z - 106 = -7*z - s, 66 = 3*z + 3*s. Let u(d) = 20*d**2 + 170*d + 695. What is the remainder when u(-4) is divided by z?
20
Let v(b) = b**3 + 16*b**2 + 22*b + 77. Calculate the remainder when 981 is divided by v(-14).
15
Let k be 25/10*6 - (-16)/(-4). Let m(a) be the second derivative of a**4/12 - 5*a**3/3 - a**2/2 - 2*a. Calculate the remainder when 18 is divided by m(k).
8
Calculate the remainder when 16/240*-5 - (-2492)/6 is divided by 90.
55
Suppose 146*r - 145*r + 4 = 0, 2*r - 831 = -i. What is the remainder when i is divided by 266?
41
Suppose 531 = 3*r - 5*c, 2*r - 504 = -r - 4*c. Calculate the remainder when 518 is divided by r.
2
Let t be (2/(-5))/((-2)/20). Suppose -4*i + 70 = -2*i + 4*u, -t*i - u + 161 = 0. Suppose 225*n - 147 = 1878. What is the remainder when i is divided by n?
5
Suppose -3*v - 10 = -22*t + 17*t, 0 = 5*t + 3*v - 10. Calculate the remainder when 267 is divided by t.
1
Let g(r) = 43*r**2 - 7*r + 6. Suppose 11 + 7 = 18*b. Calculate the remainder when 63 is divided by g(b).
21
Suppose 110*w = -3*z + 115*w + 1018, 0 = -z - 3*w + 316. What is the remainder when z is divided by 78?
19
Let v(q) = 71*q - 8987. What is the remainder when v(129) is divided by 61?
50
Suppose x + 6 = 8. Let h(n) = -2*n + 7. Let a be h(-9). Let p = a - x. What is the remainder when 44 is divided by p?
21
Let w = 19 - 5. Suppose -r + 27 + 14 = -v, 0 = 2*r + 3*v - 102. Calculate the remainder when -2 - ((-4)/30 + (-2469)/r) is divided by w.
11
Let d(o) be the first derivative of 3*o - 1/4*o**4 + 3 - o**2 - 4/3*o**3. What is the remainder when 41 is divided by d(-4)?
8
Let w = 48533 + -25379. Calculate the remainder when w is divided by 5.
4
Let x(u) = 2*u. Calculate the remainder when 306 - ((-204)/544 + (-118)/(-16)) is divided by x(5).
9
Let m(a) = 9*a**2 + 4*a - 4. Calculate the remainder when m(3) is divided by (-10)/(-30)*114/2.
13
Let q be (6 + -24)*148/(-4). What is the remainder when (-2 - 1)*1 - q/(-9) is divided by 19?
14
Suppose -6*f = -64 - 98. Let z = 46 - 44. Let y(s) = 2*s**2 + s - 1. What is the remainder when f is divided by y(z)?
0
Suppose -s + 5*n = -21, 97 = s + s + n. Let k(r) = 6*r - 63. Let v be k(13). Let b = s - v. Calculate the remainder when 122 is divided by b.
29
Suppose 2*l = -5*m + 83, -4*l + 88 = 4*m + 12. Let w(u) = u**3 - 16*u**2 + 16*u - 8. Calculate the remainder when 76 is divided by w(m).
6
Suppose 8*u - 3*u = 380. Suppose -2*i - y = 2 + 4, 2*y = i + 3. What is the remainder when u is divided by 2*i/6 - -40?
37
Suppose s + 840 = 10*s + 6*s. Calculate the remainder when 1789 is divided by s.
53
Suppose x - 23 = 6*t, -25 - 3 = -x + t. Calculate the remainder when 1387 is divided by x.
24
Let g = 518 + -476. What is the remainder when 1088 is divided by g?
38
Let u = -10 + 29. Suppose 78*w - 10 = 73*w. Let p = 13 - w. Calculate the remainder when u is divided by p.
8
Let q = 610 - 305. Suppose -21*y = -26*y + q. What is the remainder when y is divided by 16?
13
Let y(w) = 2*w**2 + 15*w - 3. Let t be y(-8). Let j(n) = 7*n - 3*n - t*n - 3*n. Calculate the remainder when j(-11) is divided by 12.
8
Let r be (-15)/(-4) - 3/(-12). Suppose -r*s = -4*z + 148, 3*z - 5*s - 147 + 44 = 0. Let w = z + -33. What is the remainder when 15 is divided by w?
7
Let g be 1 + 139/1 + 0. Suppose -3*k + k = 10, -4*k = -5*h + g. Suppose -5*t = -7*t + h. Calculate the remainder when t is divided by 3.
0
Suppose 0 = 78*c + 1156 - 112540. What is the remainder when c is divided by 39?
24
Let w = -9537 - -9652. What is the remainder when 772 is divided by w?
82
Let p be 4/(64/(-12)) + (-879)/12. Let n = -55 - p. Suppose 3*x - y = 13, 5*x = -2*y + 3*y + n. Calculate the remainder when 7 is divided by x.
1
Let q = -25814 - -40709. Calculate the remainder when q is divided by 49.
48
Suppose -2*r = 2*b - 274, 5*r = 3*b + 305 + 364. Calculate the remainder when r is divided by ((-16)/(-6))/(16/408).
67
Suppose 3*p - 1566 = -15*d, 0 = 5*d - 4*p - 477 - 35. Suppose 0 = 4*m + 13 - 73. What is the remainder when d is divided by m?
14
Calculate the remainder when 3010 is divided by 2628/1022 - 4167/(-21).
196
Let m(z) = -z**2 + 17*z + 5. Let h = -15 - -32. Let p be m(h). Suppose 3*c + 2*c = -p*d + 60, -5*c = 4*d - 47. Calculate the remainder when 61 is divided by d.
9
Let f be 50/(-8) - 11/(-44). Calculate the remainder when f - 792/(-2 + -4) is divided by 26.
22
Let c be (-6 - 6)*2/(-4). Let o = 3 + c. Suppose -3 = 3*n, -2*q - 3*n = -54 + 5. Calculate the remainder when q is divided by o.
8
What is the remainder when 1553 is divided by (2 - 88/45) + 3958/45?
57
Let h(f) = f**3 - 90*f**2 - 83*f - 715. Calculate the remainder when 542 is divided by h(91).
9
Calculate the remainder when (-4)/(-6) + 318570/315 is divided by 13.
11
Let p be 1197 - (8 + 1 + -4). Calculate the remainder when ((-2)/(2 - 6))/(4/p) is divided by 42.
23
Let i(p) = -p + 7. Let u(w) = w**3 + 12*w**2 + 27*w + 2. Suppose -224 = 15*f - 89. What is the remainder when i(4) is divided by u(f)?
1
Suppose -32*d = -33*d + 105. What is the remainder when 165 is divided by d?
60
Let x(p) = p**3 - 3*p**2 - 17*p + 47. What is the remainder when x(6) is divided by 23?
7
Suppose -18*x - 2783 = 853. Let z = -110 - x. What is the remainder when z is divided by 31?
30
Calculate the remainder when 3 + 4/(-2) + 72/2*3 is divided by 37.
35
Let b = -142 + 180. Calculate the remainder when b is divided by (63/12)/((-4)/(-16)).
17
Calculate the remainder when 6295 - ((-194)/18 - (-330)/(-1485)) is divided by 83.
81
Suppose 5*s + 5 = -5*i, -3*s + 2*s = 3*i + 1. Suppose -30*v + 2*p = -34*v + 74, -2*v - 2*p + 42 = i. What is the remainder when 1150 is divided by v?
14
Let k(g) = -13*g**2 + 4*g + 20. Let x be k(-6). Let b = x + 495. What is the remainder when 42 is divided by b?
19
Suppose -55*c + 1761 = -1983 - 3571. Calculate the remainder when 480 is divided by c.
81
Suppose 25*s - 41686 = -12*s - s. Calculate the remainder when s is divided by 363.
8
Let a(y) = -59*y + 174. Let p(w) = 57*w - 174. Let t(q) = 4*a(q) + 5*p(q). Calculate the remainder when t(7) is divided by 59.
51
Suppose -477 = -2*r - 10*y + 9*y, 5*y = -2*r + 465. What is the remainder when 933 is divided by r?
213
Let p = -31 + 54. Let o(w) = -w**3 + 9*w**2 + w + 5. Suppose -70*m + 287 = -203. Calculate the remainder when o(m) is divided by p.
18
Suppose m = 16 + 26. Suppose 2*i + 8 = m. Suppose 0 = -5*q + 3*x + 291 - 31, 4*q - 4*x - 216 = 0. Calculate the remainder when q is divided by i.
15
Let z = 0 - -8. Calculate the remainder when ((-50)/4)/(z/(-16)) is divided by 0 + 1 + -4 + 10.
4
Let w = 140 + -5. Let i = w - 129. Calculate the remainder when 16 is divided by i.
4
Let h = 174 - 168. Let b(d) = -2*d + 18. Calculate the remainder when b(h) is divided by 2.
0
Let v be (45 - -6) + -1 + -1*1. Suppose 3*o = a - 30, -2*a = -7*a - 2*o + 133. Let k = v - a. Calculate the remainder when 63 is divided by k.
19
Su