is divided by 6.
5
Let l = 5392 + -5304. Calculate the remainder when 499 is divided by l.
59
Let q(v) = -v**3 + 2*v + 1. Let j(m) = m**3 + 18*m**2 - 42*m + 15. Let y(n) = -j(n) - 2*q(n). Calculate the remainder when y(16) is divided by 7.
2
Let c = 1320 + -1256. Calculate the remainder when c is divided by 38.
26
Suppose -2*w + 78 = -2*j, -4*w + 150*j + 132 = 152*j. Let z(s) = -13*s**3 + s**2 + 2*s. What is the remainder when z(-2) is divided by w?
34
What is the remainder when ((-416)/(-10))/((52 - 42) + (-343)/35) is divided by (57/3)/((-4)/(-8))?
18
Let q be ((-85)/(-34))/((-1)/(-12)). Let s be (-1)/(-2)*-2*(-6)/2. Suppose s*g + 3*g - q = 0. Calculate the remainder when 18 is divided by g.
3
Let y = 221 + -183. Let x(a) = 3*a + 1. What is the remainder when 17/(-17)*(1 - y) is divided by x(4)?
11
Let a = -5 - -24. Suppose 12*p + p - 375 = -2*p. Calculate the remainder when p is divided by a.
6
Suppose -681*g = -167*g - 2570. What is the remainder when (-2)/(-3) - 633/(-9) is divided by g?
1
Let t(p) be the third derivative of -p**5/60 - 5*p**4/24 - p**3/2 + 6*p**2. Let z be t(-3). Calculate the remainder when 38 is divided by 7/(-1 - z/(-2)).
10
Let v = 353 - 346. Suppose -6*i + v*i = 9. Suppose -l + 19 = 4*o, -2*l - 3*l + 70 = -5*o. Calculate the remainder when l is divided by i.
6
Suppose -4*w - 12 = 0, -2*m - 3*w + 5 = 4. Suppose -5*d + 161 = m*v - 3*v, -v = -4*d + 134. Calculate the remainder when 53 is divided by d.
20
Suppose -2*d + 4*i + 83 - 19 = 0, 2*i = -2*d + 88. Let p = d - -52. What is the remainder when p is divided by 5?
2
Let k(g) = 11*g - 15. Suppose -5*b + 44 = 3*h, 3*h = 2*b + 1 - 6. Let s be k(b). Let z = -30 + s. Calculate the remainder when z is divided by 9.
5
Let k = 107 + -82. Suppose -4*i + k = -59. Calculate the remainder when i is divided by 12.
9
Let c(a) = 29 - 24*a**2 - 5 + 23*a**2 - 4*a. What is the remainder when 51 is divided by c(-7)?
0
Let u(d) = -d**3 - 4*d**2 - 2*d - 3. Let g be u(-4). Suppose 2*o - 517 = -3*w - 172, -2*w - 910 = -g*o. What is the remainder when o is divided by 37?
32
Suppose a + u - 69 = 0, 15*a - 16*a + 3*u = -77. Calculate the remainder when 1062 is divided by a.
68
Let x = 15 + 91. Calculate the remainder when x is divided by (2 + 5)*1 - 6/(-12)*44.
19
Let h = -620 - -621. Calculate the remainder when 2/(-5) + h + 2368/20 is divided by 8.
7
Let k = 618 - 128. Suppose 25*r = k + 60. Let f(q) = -q**3 + 4*q**2 - q - 3. Calculate the remainder when r is divided by f(3).
1
Let b(i) = 4*i**2 + 64*i - 794. What is the remainder when b(11) is divided by 20?
14
Let j(n) = 3*n**2 - 3*n + 40. Let t(m) = 9*m**2 - 11*m + 120. Let f(d) = -17*j(d) + 6*t(d). Calculate the remainder when f(4) is divided by 10.
8
Suppose -4*c - 3 + 11 = -3*j, 3*c + 5*j - 6 = 0. Suppose z = -c*k + 22, -4*z - 8*k + 124 = -12*k. What is the remainder when 32 is divided by z?
4
Let y be ((-2)/10)/(42/(-5565))*4. Calculate the remainder when (y + 12)*3/3 is divided by 20.
18
Suppose -o - 9 = 0, -58083 = -6000*g + 5997*g - o. Calculate the remainder when g is divided by 23.
21
Suppose -93*t - 279*t + 804729 = 137*t. Calculate the remainder when t is divided by 12.
9
Let t = 3608 + -3408. What is the remainder when 262 is divided by t?
62
Let k = -10377 - -10516. What is the remainder when 830 is divided by k?
135
Suppose 4*a = -3*y + 190, 4*y - 56 = 3*y - 5*a. Suppose 2*q + 282 = -5*n + 681, -616 = -3*q - 4*n. Calculate the remainder when q is divided by y.
14
Suppose -33*q + 6688 - 2200 = 0. What is the remainder when q is divided by 27?
1
Suppose 3*s + 0*s - 9 = 0. Suppose -l = 2*i - 139, -i + 51 = s*l - 376. Suppose 2*z - 87 = l. What is the remainder when z is divided by 39?
37
Let k = -370 - -375. Suppose 0 = -4*l - 3*y + 387, k*l - 5*y - 510 = -35. What is the remainder when l is divided by 35?
26
Let m = -520 + 761. Calculate the remainder when m is divided by 98*(-21)/462*-11.
45
Suppose 0 = -2*n + 5*c + 49, 4*n = 5*n - 5*c - 22. Let q = n + -4. Let i = q - 20. Calculate the remainder when i is divided by 1.
0
Suppose -22*g + 48*g - 3 = 205. Suppose -2*w = 5*z - 231, 3*w = 4*w - z - 119. Calculate the remainder when w is divided by g.
6
Let y = -7120 - -7764. What is the remainder when y is divided by 96?
68
Let u = -1033 + 1059. Let k(n) = n**3 + 22*n**2 - 23*n + 10. Suppose -9*g + 10*g + 23 = 0. Calculate the remainder when u is divided by k(g).
6
Suppose 4*k + 21 = -3*t + 130, 3*t - k = 134. What is the remainder when 1148 is divided by t?
30
Suppose o + 7*q = 2*q - 80, -3*o = -3*q + 168. Suppose -3*k + 80 = -136. Let n = o + k. Calculate the remainder when 33 is divided by n.
9
Let l(q) be the second derivative of 1/20*q**5 + 0*q**3 + 0*q**4 + 1/2*q**2 - 11*q + 0. What is the remainder when 7 is divided by l(1)?
1
Suppose -3857 - 5715 = -30*i + 12688. What is the remainder when i is divided by 29?
17
Suppose -20*k - 3*o = -23*k + 453, -3*k - 7*o + 403 = 0. Calculate the remainder when 508 is divided by k.
70
Let b(d) = -7*d**3 - 21*d**2 - 22*d + 26. Calculate the remainder when b(-9) is divided by 39.
38
Calculate the remainder when (-900)/(-27)*(-24)/(-32) is divided by 20.
5
Suppose -20755 = -20*l - 20595. Suppose -2*n + 0*n = -32. Calculate the remainder when n is divided by l.
0
Suppose 12 = n - 4. Suppose 594 = -8*p + 634. What is the remainder when 1/((n/36)/4) is divided by p?
4
Let l(y) = -299*y - 2106. Calculate the remainder when l(-9) is divided by 43.
26
Suppose -17659 = -67*x + 9074. What is the remainder when x is divided by 392?
7
Suppose -2*p - 15 = -9, -117*y = -118*y + 3*p + 415. Let u = -20 + 61. Calculate the remainder when y is divided by u.
37
Suppose -118*n + 115*n = 5*c - 10253, 3*c = 2*n + 6148. What is the remainder when c is divided by 158?
154
Suppose 3*b - 219 = 2*d, 2*b - 153 = -94*d + 93*d. Calculate the remainder when 119 is divided by b.
44
Suppose 2*i + l = 2195, -2 = -2*l + 16. Calculate the remainder when i is divided by 54.
13
Let n = 53 + 10. Suppose 4*d - 12 = -s, 0*d = -4*s - d + n. What is the remainder when 45 is divided by s?
13
Let c(v) = 116*v - 2896. What is the remainder when 718 is divided by c(26)?
118
Let g(a) be the second derivative of -3*a**5/10 + a**4/6 + a**3/2 - 3*a. Suppose 2*x + 2*x = -8. Calculate the remainder when g(x) is divided by 20.
10
Let f(b) = -b**2 + 52*b + 68. What is the remainder when 3533 is divided by f(0)?
65
Let y(o) = -o**3 + 12*o**2 + 7*o - 67. Calculate the remainder when 175 is divided by y(3).
0
Let s(y) = -831*y - 4146. What is the remainder when 765/33 + 4/(-22) is divided by s(-5)?
5
Let i(d) = 12*d**2 - 5*d - 5. Let b(f) = -f - 1. Let u(w) = -15*b(w) + 3*i(w). Calculate the remainder when u(-1) is divided by 13.
10
Let h = 930 + -357. Let c = -847 - -870. What is the remainder when h is divided by c?
21
Let y(r) = 88*r**2 + r. Let z be y(2). Let j(m) = 2*m**3 + 74*m**2 + 2. Let a be j(-37). Suppose 0*h = a*h - z. Calculate the remainder when h is divided by 45.
42
Suppose 0 = -2*b - 2*b. Suppose 10 = -2*d, 2*d + 11 = 3*a - 5. Suppose b = a*l + 3*l - 435. What is the remainder when l is divided by 22?
21
Suppose -3*p = -p - 40. Let h = -4432 - -4442. What is the remainder when p is divided by h?
0
Suppose 0 = -43*b + 119*b - 1671 - 77. What is the remainder when 6139 is divided by b?
21
Let v = 16 + -10. Let b = 26 - v. Suppose 1071 + 497 = 16*r. What is the remainder when r is divided by b?
18
Let r = 101 + -160. Let l = r - -61. Calculate the remainder when 3 is divided by l.
1
Suppose -4*o + 2*s = 1848, 3*o + 3*s = 5*s - 1386. What is the remainder when 104/(-78)*o/8 is divided by 25?
2
Let r(d) = 11*d**3 - d. Let a be r(1). Suppose 5*b - a = -25. Let j(t) = t**3 + 2*t**2 - 6*t + 4. What is the remainder when 49 is divided by j(b)?
10
Suppose 16 = 5*j + 1. Suppose -5*q - 43 = -5*c - 8*q, j*c = -4*q + 17. Suppose -6 + c = 5*t. What is the remainder when t is divided by 1?
0
Suppose -3*r + 16*o + 35 = 12*o, 0 = 2*r + 5*o - 8. Let c = 14 + -20. Calculate the remainder when (c/(-9))/((-12)/(-630)) is divided by r.
8
Let a(q) = -56*q + 64. Let p be a(-4). Let n = p + -26. What is the remainder when n is divided by 88?
86
Let p = 2112 + -2019. Calculate the remainder when 736 is divided by p.
85
Let j = -100 - -145. Suppose w