r + 4*m + 1377, -4*r - 4*m = -6092. What is the remainder when r is divided by 90?
89
Let z = -22 + 32. What is the remainder when 1 - 14/z - 1654/(-10) is divided by 28?
25
Let a(m) = -m**3 + 14*m**2 - 17*m - 22. Let k be a(12). Suppose -2*v - 2*y = -k, 2 = v - 5*y - 35. Calculate the remainder when 125 is divided by v.
29
Let b(p) = -2*p**3 + 28*p**2 - 26*p + 15. What is the remainder when 779 is divided by b(13)?
14
What is the remainder when (-63)/9 - (-20 + -400) is divided by 169?
75
Suppose -2*i + 2*f = -96, 2*f + 20 = -3*f. Let r be (-992)/(-11) - (-10)/(-55). Let h = r - 67. What is the remainder when i is divided by h?
21
Let m = 8414 + -5224. Calculate the remainder when m is divided by 76.
74
Let s be (-2 - 3)*(3 + -2). Calculate the remainder when 59 is divided by (15 - -2)*(7 + s).
25
Calculate the remainder when 642/4 - (-32 - 1953/(-62)) is divided by 2 - (2 + -10) - 1.
8
Let t = -282 - -553. Calculate the remainder when t is divided by 3 - 11/(77/(-70)).
11
Suppose 0 = 14*z - 10190 - 1878. Calculate the remainder when z is divided by 27.
25
Let p = 76 - 40. Suppose -35 = -4*j + 1. What is the remainder when (p/15)/(1/10) is divided by j?
6
Let a(f) be the first derivative of -f**2/2 - 8*f + 8. Let y be a(12). Let x = y + 65. Calculate the remainder when x is divided by 16.
13
Let w be 884/14 + ((-104)/91 - -1). Suppose 68*g = w*g + 445. Let f = 11 - 1. What is the remainder when g is divided by f?
9
Let v = 3011 + -2968. Suppose -s + 52 + 37 = 0. What is the remainder when s is divided by v?
3
Let z be (55/(-3))/(24/(-144)). Suppose -z = -3*l + 8*l. Let d = -12 - l. Calculate the remainder when 21 is divided by d.
1
Let f(i) = 80*i**3 - 14*i**2 + 8*i + 5. What is the remainder when 185 is divided by f(1)?
27
Suppose 3*o - 5346 = -3*x, 5659 - 321 = 3*x + 5*o. Calculate the remainder when x is divided by 12.
10
Suppose -5*d = -4*d + 10. Let o be (d - -11) + 1*-11. Calculate the remainder when 13 is divided by (28/o)/((-16)/40).
6
Let v = 134 - 152. What is the remainder when 19 is divided by ((-32)/(-24))/((-4)/v)?
1
Suppose 141*l - 8457 = 19038. Calculate the remainder when 1769 is divided by l.
14
Let g = 10 - -3. Let l be (-3)/((-18)/4) + (-540)/(-162). Suppose r + 3*c + 3 - 51 = 0, -l*r - 3*c = -156. Calculate the remainder when r is divided by g.
10
Calculate the remainder when 729 is divided by 1 + (-5033)/(-14) + 42/(-12).
15
Let d(z) = 2*z**2 + 2*z - 13. Let u be d(-4). Suppose 2*s - 5*p - 165 = 0, -12*p - 75 = -s - u*p. What is the remainder when s is divided by 18?
16
Let r(o) = 2*o**2 + 14*o - 23. Let s = 865 + -861. What is the remainder when r(s) is divided by 35?
30
Suppose -4*k - 27 = -5*m, 7*m - 9*m - 3*k - 3 = 0. Let b(x) = x**2 + 2*x - 5. What is the remainder when 56 is divided by b(m)?
6
Let b = -309 - -302. Let n = 82 + b. What is the remainder when n is divided by (1 - 2)*(-12 - -1)?
9
Suppose -8*z + 5812 = 2*n - 10*z, 3*z + 2896 = n. What is the remainder when n is divided by 94?
91
Suppose -131*s + 4120 - 845 = 0. Let h(u) = -4*u + 19. What is the remainder when h(-17) is divided by s?
12
Suppose 2*p + 1142 = 5*p + k, 0 = -p + 3*k + 384. Let b = 425 - p. Calculate the remainder when b is divided by 25.
19
Let z = -26 + 29. Let d be (5 + z)*500/(-16). Let i = d - -468. What is the remainder when i is divided by 44?
42
Suppose 0 = -9*b - 0*b + 882. Suppose -15*m = -b - 682. Let c = m - -155. What is the remainder when c is divided by 42?
39
Let c(a) = 3*a + 53. Let t be (3 + -3)/((-1)/(2/(-4))). Calculate the remainder when c(t) is divided by 22.
9
Let t(b) = b**3 - 5*b**2 + 39*b - 199. Suppose 4*x = 157 - 41. What is the remainder when t(7) is divided by x?
27
Let x = 695 - 695. Suppose -3*c - g + 530 = -0*g, x = 2*c + 2*g - 352. Calculate the remainder when c is divided by 26.
21
Suppose -41 = -3*s + 4*t - 4, 2*t = -8. Suppose 0 = 5*n - 0*n + 5*r - 80, 5*n = -4*r + 83. Calculate the remainder when n is divided by s.
5
Suppose 2456*c - 2444*c = 23160. Calculate the remainder when c is divided by 12.
10
Suppose 4*f = -255*g + 258*g - 105, 3*g - 87 = -2*f. Suppose 46 - 10 = 3*l. Calculate the remainder when g is divided by l.
7
Suppose 20*z - 428 - 112 = 0. What is the remainder when 1/5 - 318/(-10) is divided by z?
5
Suppose 0 = -4*m - 5*y + 15277, -m - 6*y + 3788 = -11*y. Calculate the remainder when m is divided by 72.
69
Calculate the remainder when (-28)/(-7) + 8016/10 + (-18)/30 is divided by 24.
13
Suppose 2*r = -5*k + 70, -37 = -5*k + 3*r + 8. Calculate the remainder when 6215 is divided by k.
11
Suppose -28*a + 204 = -45*a. Let z(s) = -3*s - 16. What is the remainder when 118 is divided by z(a)?
18
Let u be (-7)/(0 + (0 - 1)). Suppose 0 = -t + u + 8. Suppose 2*b - t - 21 = 0. What is the remainder when 32 is divided by b?
14
Let q(g) = -3*g**2 + 48*g + 149. Let x(c) = 4*c**2 - 72*c - 223. Let r(u) = 7*q(u) + 5*x(u). Calculate the remainder when 223 is divided by r(-16).
55
Let x = -86 + 88. Suppose -n + 4 - x = 0. Suppose -n*m - 150 = -17*m. Calculate the remainder when 13 is divided by m.
3
Let w = -22 - -85. Suppose 63 = -2*o + 2*l + 127, 0 = 5*l + 40. What is the remainder when w is divided by o?
15
Suppose -3*k = -36 + 48. What is the remainder when 82 is divided by 3027/42 + k/56?
10
Suppose -154 = -7*c + 35. Suppose 100*t = 108*t - 408. Calculate the remainder when t is divided by c.
24
Let h = 22 + 17. Suppose c - h = 3*x, -156 = -5*c + 4*x - 2*x. Let b = 465 - 461. Calculate the remainder when c is divided by b.
2
Let m = -356 - -355. What is the remainder when 2/(3 + 1)*(m - -19) is divided by 6?
3
Let f = 28 + -20. Suppose f*m = 12*m - 48. What is the remainder when 10 is divided by 1/((-14)/(-104)) + m/(-28)?
3
Let a = -27 + 111. Suppose 0 = 4*o + 4*r - a, 4*o - r + 6*r = 79. Suppose -17*i = -22*i + 380. Calculate the remainder when i is divided by o.
24
Let p(r) = -4*r - 48. Let d be p(-12). Suppose d = 4*a - 5*g - 112, -5*g = -5*a + 146 - 1. What is the remainder when a is divided by 9?
6
Let n = -40 - -37. Let x = n + -24. Let g = 2 - x. What is the remainder when g is divided by 15?
14
Let v = -57 + 60. Suppose -2*g - v*u + 81 = 0, 3*g - 2*u = 8*g - 175. What is the remainder when g is divided by (-80)/(8/(-2)) + -3?
16
Suppose 0 = 21*u - 37*u + 2048. Suppose 733*s = 735*s - u. Calculate the remainder when 445 is divided by s.
61
Suppose -19*d = -16*d + u - 33, -2*d + 3 = 7*u. What is the remainder when 950 is divided by d?
2
Suppose -b + h + 76 = 0, -23 = 4*h - 3. Let c = -52 + b. Calculate the remainder when c is divided by 11.
8
Let t(v) = v**3 - 11*v**2 + 12*v - 21. Let n be t(10). What is the remainder when 0 + n + 6 + 45 is divided by 17?
16
Suppose 8*i = -0*i + 56. Suppose i*h - 3 = 4. What is the remainder when 19 is divided by h/(3/(-60)*-4)?
4
Suppose -165 = -4*q - 4*l - 21, 4*q + l - 138 = 0. Let v be (-1 + 2 + -3)/2. Let x(z) = -8*z + 1. What is the remainder when q is divided by x(v)?
7
Suppose 4*c + 6160 = 4*i, 5*i - 3*c - c = 7694. Calculate the remainder when i is divided by 10.
4
Let z(w) = -120*w - 466. What is the remainder when z(-12) is divided by 35?
29
Let h(p) = -6*p + 293. What is the remainder when 660 is divided by h(34)?
37
Suppose -s = 4*o - 1743, 1582 + 608 = 5*o - s. Suppose -4*g + 725 = 5*m - 0*m, 3*m + 2*g = o. What is the remainder when m is divided by 6?
5
Let u(o) = o**2 - 27*o + 42. Calculate the remainder when (330/(-8))/(7/(-28)*1) is divided by u(27).
39
Let b = -1201 + 2760. Suppose -512 = -19*p + b. Calculate the remainder when p is divided by 55.
54
Suppose 0 = -19*b + 59*b + 78 - 3878. What is the remainder when 199 is divided by b?
9
Let y be 12/(-15)*(-1 - 4). Suppose 6 = 4*k - 6, 0 = 2*c - 4*k + y. Suppose -6 - 10 = -4*n. What is the remainder when n is divided by c?
0
Let i = 170 + -131. Let q(v) = -132*v + 17. Calculate the remainder when q(-4) is divided by i.
38
Suppose -197282 = -389*c + 1831353. What is the remainder when c is divided by 163?
162
Let n be 1/(((-15)/36)/(-5)). Let d be (n/(3/1))/2. Suppose -4*h = -d*h - 218. What is the remainder when h is divided by 37?
35
Let y(w) = 35*w + 586. Calculate the remainder when y(-9) is divided by 46.
41
Suppose -q + 6*q = 0. Calculate the remainder when (75 - (q + 1/1)) + 2 is div