
Let s = -59 - -110. Let h(w) = -w**3 - 6*w**2 - 7*w - 7. Let n be h(-6). Let x = s - n. What is the remainder when 78 is divided by x?
14
Suppose 39 + 46 = 5*q. Suppose -4*s - 5*j = -9*j - 2148, s + 12*j - 576 = 0. Calculate the remainder when s is divided by q.
13
Calculate the remainder when 1912 is divided by (-66)/(-4)*(335 - 333).
31
Suppose 3*k = 37 + 41. Suppose -29*a + 201 = -k*a. Calculate the remainder when 401 is divided by a.
66
What is the remainder when 6298 is divided by (-234)/(-468)*216/3?
34
Let q(j) = -j**3 - 25*j**2 - 29*j + 30. Let u be q(-24). Suppose -46*i - u = -56*i. What is the remainder when i is divided by 2/(1/4 + 0)?
7
Let c be 0*(-11)/(-242)*11. Let b(n) be the second derivative of n**5/20 - n**4/6 + n**3/6 + 107*n**2/2 + n. What is the remainder when b(c) is divided by 28?
23
Suppose 3*z - 276 = -28*y, -107*z + 104*z - 3*y + 201 = 0. Let m = -38 + 226. Calculate the remainder when m is divided by z.
60
Suppose 5*n - 10465 = -3*d, -43*n - 3*d + 2081 = -42*n. What is the remainder when n is divided by 25?
21
Suppose 5*t - z = -0*t - 14, -3*t - 4*z = 13. Let x(b) = -64*b - 70. Calculate the remainder when x(t) is divided by 66.
56
What is the remainder when 5458 is divided by 220/66 - -11 - (-1)/(-3)?
12
Suppose -5*o - 2965 = -5*u, -15 = 2*o + 1. Calculate the remainder when u is divided by 10.
5
Suppose -2*u + 16 + 14 = 2*v, -35 = -2*v - 3*u. Suppose -5*z - 10 = v. What is the remainder when ((-1)/(z/856*2))/1 is divided by 27?
26
Let y = -3656 + 3698. What is the remainder when 835 is divided by y?
37
What is the remainder when (50/(-6))/((-15)/234) is divided by 36?
22
Suppose 5*m - 522 = 4*p, -4*p - 205 - 113 = -3*m. Suppose 3 = f - 73. Let c = m - f. What is the remainder when 101 is divided by c?
23
Suppose 72*f - 2429 = 33355. Suppose -4*y = 5*g + y - 2445, g = -3*y + f. Calculate the remainder when g is divided by 81.
80
Let s be 32 + 4/((-16)/(-4)). Suppose -s*k + 210 = -23*k. What is the remainder when 79 is divided by k?
16
Suppose -3*n + 118 = -4*q, -5*q + 109 = 3*n - 0*q. Let w = 1048 - 1027. What is the remainder when n is divided by w?
17
Suppose 0 = 5*d - 0*c - 5*c - 140, 0 = 2*d + 4*c - 38. Calculate the remainder when 853 is divided by d.
3
Let w be 3/((-4)/(-8) - 1). Let m be (-15)/10*(-64)/w. Let v = -2 - m. What is the remainder when 27 is divided by v?
13
Suppose l - 880 = 3*d, 564 + 3798 = 5*l + 4*d. What is the remainder when l is divided by 4?
2
Suppose 1054*b = -2*y + 1059*b + 69, -4*y + b = -75. What is the remainder when 76 is divided by y?
8
Let y(v) = -19*v + v**3 - 41*v**2 + 80 - 200 + 100 - 21*v. Calculate the remainder when 139 is divided by y(42).
11
Suppose -8*m = -998 + 54. Suppose -20*f - p = -23*f + 92, 3*p - 3 = 0. Calculate the remainder when m is divided by f.
25
Suppose -12295*j - 2337 = -12314*j. What is the remainder when 612 is divided by j?
120
Suppose -3*z - 16*z = 25*z - 4400. What is the remainder when 878 is divided by z?
78
Let x(r) = 24*r**2 - 86*r - 169. Calculate the remainder when 548 is divided by x(-2).
53
Suppose -x = -5*r + 27, -x = 5*r - 5 - 18. Suppose -4*m + 50 = -2*h, 5*h + r = 5*m - 70. Calculate the remainder when 21 is divided by m.
1
Let a(u) = -u**2 - 24*u - 49. Let i be a(-23). Let d = i - -42. Suppose 4*m + d = 0, 9*l - 2*m - 118 = 4*l. Calculate the remainder when 41 is divided by l.
19
Suppose 5*m + 2*q - 4497 = 0, -3*m + 3592 = m + 3*q. What is the remainder when m is divided by 24?
13
Let n be -1 - (17037/(-6) - (-3)/6). Suppose -7*w + n = -1061. What is the remainder when w is divided by 35?
32
Suppose -289 = -2*r + 3*h, -150*r + 2*h - 148 = -151*r. Let f = -57 - -87. What is the remainder when r is divided by f?
26
Let q(v) be the third derivative of -v**4/4 - 4*v**3/3 + 8*v**2. Suppose -33*g + 33 + 231 = 0. Calculate the remainder when q(-6) is divided by g.
4
Suppose b + r + 904 = -2*b, 0 = -3*b + r - 896. Let n = b + 311. What is the remainder when 13 is divided by n?
2
Let w(x) = -3*x + 7. Let k = -62 - -67. Let h be w(k). Let f(b) = -2*b - 2. Calculate the remainder when f(h) is divided by 6.
2
Suppose 377*h = 3*f + 382*h - 244, -326 = -4*f - 7*h. Suppose -2*c = -4*x - 132, 1 = 4*c - 7. Let y = 48 + x. Calculate the remainder when f is divided by y.
14
Let o be (-88)/(-55) - (-6)/15. Suppose 98 - 36 = o*u - 2*j, -3*j + 147 = 5*u. What is the remainder when 137 is divided by u?
17
Let m(f) = f**2 - 58*f - 476. Calculate the remainder when m(70) is divided by 31.
23
Let z(w) = 35*w**2 + 45*w + 18. Let c(u) = -52*u**2 - 67*u - 28. Let l(m) = -5*c(m) - 7*z(m). What is the remainder when l(-3) is divided by 30?
29
Suppose -u + 193 = 4*x, 2*u - 5*x + x = 410. Suppose -8*m = -23*m - 3*m + 198. What is the remainder when u is divided by m?
3
Let r(s) = s**2 + s - 17. Let o be r(-5). Suppose 0 = -5*f + 20, d - 216 = -d - o*f. What is the remainder when d is divided by 36?
30
Let q = 54 + -34. Suppose -q = -7*a + 3*a. Suppose -a*b + 590 = -0*b. What is the remainder when b is divided by 30?
28
Calculate the remainder when 1582 is divided by 6*(-6)/216*-1362.
220
Suppose 4371 = -14*i + 107*i. What is the remainder when 122 is divided by i?
28
Suppose 9*b - 13*b - 2 = 3*p, 10 = -2*b. Suppose -5*q = -5*v - 15, -q - 12 = -5*q. Calculate the remainder when p is divided by v - (-10)/(-2)*-1.
1
Let y = 7288 + -6823. Calculate the remainder when 468 is divided by y.
3
Calculate the remainder when 716 is divided by (28 + 9 + -16)*(-4)/(-6).
2
Let c be (-2)/3 + -8 + 1666/(-21). Suppose -o + 60 = 4*o + 4*y, 5*o - 65 = -5*y. What is the remainder when (5/2)/((-11)/c) is divided by o?
4
Let q = -4811 + 4866. Suppose 10*k - 1314 = 8*k. Calculate the remainder when k is divided by q.
52
Suppose 58*i + 622 - 17500 = 0. What is the remainder when 597 is divided by i?
15
Suppose 0 = -x - 4*s + 2645, -1953 = -2*x + 3*s + 3370. What is the remainder when x is divided by 885?
2
Let t(n) = -29*n - 2784. Let w(y) = 4*y. Let i be w(8). Suppose -i = -3*j - 5*p + 7, -5*p = -15. Calculate the remainder when t(-97) is divided by j.
5
Suppose w + 3*q = 6*w - 104, -w + q + 20 = 0. Suppose 0 = 2*n + w. Let v = 16 + n. Calculate the remainder when 12 is divided by v.
2
Suppose 1344*i = 1340*i - 1292. Let f = -309 - i. What is the remainder when 50 is divided by f?
8
Let m = -3609 - -3639. Calculate the remainder when 387 is divided by m.
27
Let t be (-8)/(-12)*((-21)/3 - -1). Calculate the remainder when (0 + -1)/(0 - t/(-80)) is divided by 11.
9
What is the remainder when 26/(-2 + 15084/3012 + -3) is divided by 68?
67
Suppose 0 = -4*v + 92 + 52. Suppose -143*u = -150*u + 70. What is the remainder when v is divided by u?
6
Let v = 12062 + -11240. What is the remainder when v is divided by 7?
3
Suppose -4*h + 5 = -3*a - 17, -a + h = 8. What is the remainder when ((-58)/(-8))/(a/(-80)) is divided by 12?
10
Let k(f) = 64*f**3 + 4*f**2 + 3*f - 8. What is the remainder when k(1) is divided by 50?
13
Let b(w) = -w**3 - 32*w**2 - 61*w - 1923. What is the remainder when 984 is divided by b(-32)?
27
Let k(o) = -107*o**2 + 8*o + 4*o + 106*o**2 - 23. What is the remainder when 298 is divided by k(7)?
10
Suppose 2*k = -2*r + 22, r + 5*k = -0 + 3. Let t be 246 - 6/(-9)*-3. Let m = t + -130. Calculate the remainder when m is divided by r.
10
Suppose 6 = 2*l, -7*p + 8*p - 12 = 2*l. Suppose 0 = -0*v + p*v - 234. Let a(h) = 4*h**3 - h**2 - 2*h - 4. Calculate the remainder when a(3) is divided by v.
11
Let k(n) = 12*n**2 + 65*n - 76. Calculate the remainder when 337 is divided by k(-8).
165
Let w = 95 - 55. Let x be 2/6 + (276/9)/4. Let r(t) = -t**2 + 8*t + 14. What is the remainder when w is divided by r(x)?
12
Let y = 264 + -100. Let o = -426 - -440. What is the remainder when y is divided by o?
10
Let q(d) = 6*d**2 + 32*d + 24. Let o be q(11). Let a = o - 781. Calculate the remainder when a is divided by 83.
72
Let l = -27 - -30. Suppose -x = -2*x + l. Calculate the remainder when 130 is divided by x/4*-1*(-42 + -2).
31
Let q be (-23 + 23)*(-1 + 2). What is the remainder when (q - -8)*30/48 is divided by 2?
1
Suppose -15*q = 930 - 90. Let d be 3/(3 + (-366)/124). Let a = q + d. What is the remainder when 10 is divided by a?
4
Let b = 34 - -60. Suppose 4*v - 4 = 8, -4*l + 3*v = -3. Let 