r when 33/11 - (-5 + -1) is divided by d.
3
Suppose -3*b - 2*a = -29, 2*b - a - 22 = -5*a. Suppose 156 = 3*i + b*i. Calculate the remainder when 16 is divided by i.
3
Let u(y) = 28*y**3 - y**2 - 3*y + 3. Let s be u(3). Let i = -469 + s. Let g = i + -184. What is the remainder when g is divided by 30?
28
Let s(k) = -k**3 - 4*k**2 + 6*k - 18. Calculate the remainder when 70 is divided by s(-6).
16
Suppose -5*o + 503 = 3*p, -o = o + 2*p - 202. Suppose -92 = -4*w - 3*u, -w + 15*u + 46 = 10*u. Calculate the remainder when o is divided by w.
22
Suppose 24*h - 39*h = -1230. Calculate the remainder when h is divided by -4 - (-2 - -1) - -31.
26
Let g(j) = -j**3 - 2*j**2 + 4*j + 6. Let x(t) = t**2 - 13. Calculate the remainder when x(-10) is divided by g(-4).
21
What is the remainder when (-4)/(-98) - (-995426)/6223 is divided by 6?
4
Suppose 3*l = -3 + 54. What is the remainder when 115 is divided by l?
13
Let j(y) = 4*y**3 + 32*y**2 + 11*y - 3. Calculate the remainder when j(-6) is divided by 6.
3
Suppose -442*h + 210 = -437*h. Calculate the remainder when 167 is divided by h.
41
Let g = 127 + -25. What is the remainder when g is divided by 29?
15
Let p(h) = 18*h**2. Suppose -6 = 3*k, -2*c + 8 = 2*c + 4*k. Suppose -4*i = -4, -s + 2 = -c*s + 5*i. What is the remainder when p(s) is divided by 5?
3
Let q(g) = 57*g**2 - 2*g + 1. Let s be q(4). Suppose k + v = 281, -5*k + 468 = -3*v - s. What is the remainder when k is divided by 40?
37
Suppose -41 - 31 = 2*o. Let n = o - -82. Suppose 0 = 4*x + 5*r - 73, 0 = 2*x + 3*x + 2*r - 70. Calculate the remainder when n is divided by x.
10
Calculate the remainder when (-102 + 460)*(-1)/(-2) is divided by 26.
23
Let x(b) = -b**2 + 8*b + 4. Let j(a) = -a**3 + 11*a**2 - 13*a - 6. Calculate the remainder when j(9) is divided by x(4).
19
Let m be (-2)/(-8) + (66/8)/3. Suppose 0 = 5*a - 3*v - 173, -114 - 22 = -4*a + m*v. Calculate the remainder when a is divided by 5.
2
Let g = 610 - 600. Calculate the remainder when 506 is divided by g.
6
Suppose 0 = -3*f + 4*f - 4. Suppose 4*j - f*l = 32, -4*j + l + 17 = 2*l. Let x = j + 7. Calculate the remainder when 58 is divided by x.
10
Let t(s) = 19*s**2 + 3*s - 13. What is the remainder when t(-3) is divided by 32?
21
Let z(n) = -3*n - 25. Let r be z(-10). Suppose r*a - 28 = 172. Suppose -6*t - a = -8*t. What is the remainder when 58 is divided by t?
18
Let w(y) = 5*y + 0*y**2 + 9 - y**2 + 4. What is the remainder when 62 is divided by w(5)?
10
Let c(i) = i - 3. Let y be c(2). Let x = 25 + y. Calculate the remainder when 47 is divided by x.
23
Suppose 12*t - 10407 = 4269. What is the remainder when t is divided by 72?
71
Suppose -6*a - 8*a + 2072 = 0. What is the remainder when a is divided by 99/((-3)/(-1)) - 3?
28
Suppose 33*w - 38*w + 19 = u, -5*w = -2*u - 7. What is the remainder when 39 is divided by u?
3
Suppose -5*q + 2*i = 110, 5*i - 6 = -q - 1. Let b = 140 + q. Suppose 3*n + b = 3*d - 6, -3*n = -12. What is the remainder when d is divided by 12?
10
Let u(t) = -3*t - 19. Let s be u(-7). Suppose 2*b - 14 = s*l, -4*l = -3*b - 5*l + 37. Calculate the remainder when 19 is divided by b.
8
Let y(t) = -99*t + 109. Suppose -13 = -3*w + a + 45, 17 = w + 2*a. What is the remainder when w is divided by y(1)?
9
Let k = 190 + -73. What is the remainder when k is divided by 21?
12
Suppose 70 = -3*x + 187. Suppose -x = -9*o + 8*o. What is the remainder when o is divided by 8?
7
Let f = -283 + 299. What is the remainder when 25 is divided by f?
9
Let u = -3690 + 3700. Suppose -3*b = 2*m - 43, -4*b + 5*b + 2*m = 9. Calculate the remainder when b is divided by u.
7
Let o = -8 + 11. Suppose -4*t - 6*b + o*b + 53 = 0, -72 = -5*t + 2*b. What is the remainder when t is divided by (29 + -4)/(-5)*4/(-5)?
2
Let f = 4 + 7. Suppose -3*n + 9 = 3*u, -4*u - 13 = n - 2*n. What is the remainder when f is divided by n?
1
Let d = -77 + 287. What is the remainder when d is divided by 34?
6
Suppose 4*f + 0*z - 637 = 5*z, -4*z = 4*f - 592. Let c = 218 - f. Calculate the remainder when c is divided by 17.
14
Let i = 16 + -8. Let h(b) = 21*b**3 + b**2 - 3*b + 2. What is the remainder when h(1) is divided by i?
5
Suppose 4*v + 3*z - 25 = 24, 0 = 2*v + z - 27. Suppose -5*c = -16 - 29. Calculate the remainder when v is divided by c.
7
What is the remainder when 80 is divided by 458/10 - (-14)/70?
34
What is the remainder when (-50)/30 - 2904/(-9) is divided by 27?
24
Let i(n) = 4*n**2 + 3*n - 3. Let c = 105 + -31. Suppose -10*l = -9*l - c. What is the remainder when l is divided by i(2)?
17
Suppose -4 = -3*s + 20. Let b(p) = 7*p + 2. Calculate the remainder when b(3) is divided by s.
7
Suppose 5*p - 143 = 3*u + 82, 0 = -p - 3*u + 45. Suppose 8*x = -7*x + p. Let i(m) = -m**2 - m + 10. Calculate the remainder when i(0) is divided by x.
1
Suppose -50 = -39*m + 34*m. Calculate the remainder when 3/(-9) + 142/3 is divided by m.
7
Let d be 8/(-12)*1*-75. Suppose 5*r - 150 = -5*w - d, -3*r = -4*w + 108. What is the remainder when (-4)/((-16)/(-69))*-4 is divided by w?
21
Suppose -4*d + 180 - 24 = 0. Let m = d + 6. Calculate the remainder when m is divided by 16.
13
Suppose 17 = 13*r - 48. Suppose 25 = -r*q, -5*q - 7 = -a - 7*q. Calculate the remainder when 33 is divided by a.
16
Let r(z) = z**2 + z + 8. Calculate the remainder when 144 is divided by r(-8).
16
Let s = 242 - 162. Suppose 17*h = -4*m + 18*h + 160, 0 = -2*m + 5*h + s. Calculate the remainder when 239 is divided by m.
39
Suppose -12 = -4*p - 4*l, 3*p - 12 = -4*l - 4. Calculate the remainder when (15/9)/(1/(-3)) - -16 is divided by p.
3
Suppose -4*w = -2*r - 114 + 20, 57 = 2*w - 3*r. Suppose 0 = 56*v - 892 + 276. What is the remainder when w is divided by v?
10
Suppose 4*s - 6 = -2*w, 0 = 3*w + 9*s - 10*s - 44. What is the remainder when w is divided by 3*3 - (3 + -1)?
6
Suppose 3603 = 7*h + 607. Calculate the remainder when h/6 - 3 - (-4)/6 is divided by 8.
5
Let r = 697 - 619. Suppose -y = -2*y + 4*z + 6, 3*y - 5*z = -17. Let q = y - -30. Calculate the remainder when r is divided by q.
14
Let x = 35 + -18. Let g(l) = 5*l**2 - 8*l + 7. Let a be g(-4). Suppose -249 = -8*f + a. What is the remainder when f is divided by x?
12
Suppose 2*m - 374 - 142 = 0. Calculate the remainder when m is divided by 37.
36
Suppose 5*o + 58 = 8. Calculate the remainder when 53 is divided by -2*(45/o + -1).
9
Let f(z) = -34*z - 42. Let x be f(-5). Suppose -2*y + 170 = x. What is the remainder when 34 is divided by y?
13
Let o(v) = -3*v**3 - 78*v**2 + v - 38. Let i(a) = 2*a**3 + 52*a**2 - a + 25. Let k(z) = 7*i(z) + 5*o(z). What is the remainder when k(-26) is divided by 20?
17
Suppose 4*f - 141 - 139 = 0. Suppose i + 4*v - 79 = -4*i, -5*v - f = -5*i. What is the remainder when 44 is divided by i?
14
Calculate the remainder when 48 is divided by 8/36*(4 + 59).
6
Let z(m) be the first derivative of m**3/3 - 5*m**2/2 - 6*m - 11. What is the remainder when 53 is divided by z(8)?
17
Suppose 0 = -q + 438 + 171. Suppose 3*b + 4*b = q. What is the remainder when b is divided by 15?
12
Let o be (-155)/(-15) - 1/3. Let h(s) = -s**3 + 9*s**2 + 11*s - 3. Let u be h(o). Let l = u - -13. Calculate the remainder when 39 is divided by l.
19
Suppose 3*k - 3383 = -4*q, -k - 4 = -5. Calculate the remainder when q is divided by 77.
75
What is the remainder when (-508)/((-10)/45*3) is divided by 85?
82
Suppose -5*d = h - 66, -3*h = 35*d - 38*d - 108. What is the remainder when h is divided by 11?
8
Suppose 5*t - 31 = 3*j, 5 = -4*j + t - 8. Suppose 4*d + 214 = 5*f, -2*d = -2*f + d + 87. What is the remainder when f is divided by j - -2 - 22/(-2)?
9
What is the remainder when (-1)/(-17) + (-7989)/(-17) is divided by 22?
8
Let f = 24 + -13. Let t = 16 - f. Suppose m - 6*m + 4*i = -185, -4*i = t*m - 225. What is the remainder when m is divided by 22?
19
Suppose 5*c + 3*q = 205, 2*c + 3*q - 78 = q. What is the remainder when 129 is divided by c?
41
Let k(o) = -o + 32. Let p be ((-3)/4)/((-2)/16). Suppose 4*u = 3*t + 10 + p, -2*u = 4*t - 30. Calculate the remainder when k(0) is divided by u.
4
Let h = -1158 - -1230. Calculate the remainder when 145 is divided by h.
1
Let y(g) = -41*g - 221. Calculate the remainder when y(-8) is divided by 53.
1
Suppose 47*l - 306 = 38*l. What is the remainder when 237