se v + 3 = 3*q. What is the remainder when 0 + 4 + (-7 - -4) is divided by q?
0
Suppose 5*a + 2*d + 100 = 6*a, -d + 467 = 5*a. Suppose 2*o = -o - 4*y + 45, -4*y - 88 = -4*o. Calculate the remainder when a is divided by o.
18
Let g = -60 - -38. Let q = g - -38. Suppose 51 = 7*s + q. Calculate the remainder when 18 is divided by s.
3
Let n = 4 - 2. Suppose 2*b + 41 = 3*m + 7, -31 = -n*m + 3*b. Suppose 0 = -5*a + 114 - 39. Calculate the remainder when a is divided by m.
7
Let f(i) = -i**3 - 15*i**2 + 5*i - 52. Calculate the remainder when f(-17) is divided by 13.
12
Suppose 4*k + 291 - 375 = 0. Suppose 45 = -3*q + 8*q. Calculate the remainder when k is divided by q.
3
Suppose -7*g + 15 = -5*r - 2*g, -2*r + 4*g - 16 = 0. Suppose -r*l + 18 + 22 = 3*s, s = -4*l. What is the remainder when 29 is divided by s?
13
Suppose 2*l - 4 = 3*q, 4*q + 10 = l + 3. What is the remainder when 26 is divided by ((-1)/l)/((-12)/(-72))?
2
Let s(c) = -c**2 - 5*c + 9. Suppose 5*g = 8*g - 84. Let d = g - 23. Calculate the remainder when s(-5) is divided by d.
4
Suppose 31*a - 22*a - 1755 = 0. Calculate the remainder when a is divided by 7.
6
Suppose 5*l - d = 108, -2*l + 4*d = 2*l - 80. Suppose -2*n - l = -3*x, 0 = 2*x - 0*x + 4*n - 36. What is the remainder when x is divided by 4?
2
Calculate the remainder when ((-748)/(-272))/((-2)/(-104)) is divided by 12.
11
Let z(g) = -g**3 + 3*g**2 + 15*g + 18. Let b be z(-4). Suppose 3*y + 0 - 6 = 0. Suppose -y*d - 3*d = -b. Calculate the remainder when 53 is divided by d.
11
Let o = 14 + -1. Suppose -o - 9 = -b - 3*l, 2*b - 19 = -l. Suppose -3*s = -u - 107, -u = -3*u - 10. Calculate the remainder when s is divided by b.
6
Let c be 9 - 4*(-3 - -2). Let s be (c/26)/(1/4). Suppose 4*v - k - 161 = 0, -2*v - 5*k + 131 = s*v. What is the remainder when v is divided by 14?
11
Let c = -8 + 13. Suppose -59 = -c*i - 19. Let v = 588 + -574. Calculate the remainder when v is divided by i.
6
Let h(y) = -y**2 + 7*y + 417. Suppose -20 = -2*u - 2. Let c = -5 + u. Calculate the remainder when h(24) is divided by c.
1
Let w be (-6 - -2) + 2 + -18. Let c = 23 + w. Suppose 30 = 4*x + x. Calculate the remainder when x is divided by c.
0
Let x = 424 + -357. Calculate the remainder when x is divided by 5.
2
Suppose -3 = -4*x + 9. Let o be (-8)/(x + -5 + 0). Suppose k + v - 3 = -2, -14 = -o*k + v. Calculate the remainder when 10 is divided by k.
1
What is the remainder when 38 is divided by (10/(-1))/((-7)/((-14)/(-2)))?
8
Let c = -10 + 3. Suppose 0 = 8*t - 3*t + 2*k - 20, -k - 3 = -4*t. Let y = t - c. Calculate the remainder when 17 is divided by y.
8
Let s = 39 - -151. Suppose -4*o + s = o. Suppose 7*h - 3*h = 3*z - 59, -2*z = 5*h - 1. Calculate the remainder when o is divided by z.
12
Let z(k) be the third derivative of 43*k**4/24 + k**3/3 + 10*k**2. What is the remainder when z(1) is divided by 9/(-3)*48/(-9)?
13
Suppose 0 = 4*g - 2*g - 2*a + 4, -g = -4*a - 4. Let j(t) = 3*t**2 + 2*t - 15. Calculate the remainder when 96 is divided by j(g).
21
Suppose -4*b + 50 = -34. What is the remainder when 27 is divided by b?
6
Suppose 11970 - 47466 = -24*c. Calculate the remainder when c is divided by 78.
75
Let x = 1 + 3. Let i(s) = 9*s + 12. Let c(v) = v - 1. Let q(z) = 6*c(z) - i(z). What is the remainder when q(-9) is divided by x?
1
Let t(r) = 5*r - 1. What is the remainder when (-1470)/(-22) + (-13)/(-1001)*14 is divided by t(5)?
19
Let g be (4 - 2)*(-61)/(-2). Let s = g + -40. Calculate the remainder when 187 is divided by s.
19
Let o = 303 + -200. Let d = o - 91. What is the remainder when d is divided by 5?
2
Let m(d) = 2*d**3 + 43*d**2 - 4*d + 2. What is the remainder when m(-21) is divided by 5?
2
Let x = 43 + 585. Calculate the remainder when x is divided by 10.
8
Let c(z) = 9*z**2 + 10*z - 28. What is the remainder when c(5) is divided by 28?
23
Suppose 5*m - 4*s = 30, 5*s - 3 = -4*m + 4*s. What is the remainder when 43 is divided by m?
1
Let b = -27 + 40. Suppose 463 = 8*y + 71. What is the remainder when y is divided by b?
10
Let n = 29 - 24. Suppose 0*h = w + 2*h - 17, -h = -n*w + 41. Let v(c) = 4*c - 8. What is the remainder when v(6) is divided by w?
7
Let k(l) = l**3 + 4*l**2 + 2*l + 3. Let s be k(-4). Let d be ((9/(-6))/1)/((-33)/154). Calculate the remainder when (d + s)/(2/32) is divided by 17.
15
Suppose 102 = 3*d - 117. Let p be (0/(-2))/(-3) + 2. Calculate the remainder when d is divided by p*(38/(-4))/(-1).
16
Let p = 378 - 353. Calculate the remainder when 117 is divided by p.
17
Suppose 3*s = -4*s + 28. Suppose 0 = s*a - 0*a - 12. Suppose -9 - 6 = -a*p. What is the remainder when p is divided by 2?
1
Suppose 3*w + 9*z = 14*z + 724, -5*z = 4*w - 907. Calculate the remainder when w is divided by 26.
25
Let i = -54 - -69. Let r(q) = -q**2 - q + 44. Calculate the remainder when r(0) is divided by i.
14
Let l(o) be the second derivative of -o**4/6 - 3*o**3 + 2*o**2 - 6*o. What is the remainder when 5 is divided by l(-9)?
1
Let k be 12/(-1) + (1 - 1). Let r be (k/(-8))/(6/(-16)). Let y = r - -21. Calculate the remainder when y is divided by 10.
7
Suppose 0 = -3*l - 3*h + 156 - 6, -5*l + 5*h + 270 = 0. Calculate the remainder when 415 is divided by l.
51
Suppose 0*x - 410 = -5*x. Calculate the remainder when 651 is divided by x.
77
Let g(r) = 33*r**3 + 4*r**2 - 5*r. Calculate the remainder when 281 is divided by g(1).
25
Suppose 32*s = 20*s + 984. What is the remainder when 405 is divided by s?
77
Let f(c) = -c**3 + 5*c**2 + 10*c - 7. Let d(a) = 4*a**3 - 10*a**2 - 37*a + 2. What is the remainder when d(5) is divided by f(6)?
16
Let d(g) = 246*g**2 - 1. Calculate the remainder when d(-1) is divided by 8.
5
Suppose 5*z - 10*z - 25 = 0, 0 = 5*q - 2*z - 60. Suppose 0 = k - 0 - 2. Suppose 2*h = -2*l - k*l + 148, 4*h = -16. What is the remainder when l is divided by q?
9
Let f(q) = -3*q**3 + 27*q**2 + 8*q - 14. What is the remainder when 753 is divided by f(9)?
57
Let g(j) = j**3 - 4*j**2 - 7*j - 30. Let m(o) = o**3 - 5*o**2 - 9*o - 30. Let x(f) = -4*g(f) + 3*m(f). What is the remainder when x(0) is divided by 16?
14
Suppose -2*g = 3*g + 155. Let j = g - -35. What is the remainder when 11 is divided by j?
3
Let a be 1/((-4)/108*-3). Let v = a - 25. Let r = v + 41. Calculate the remainder when r is divided by 7.
4
Calculate the remainder when 2414 is divided by 81/36 + (-1270)/(-8).
160
Suppose -2*b + 30 = 2*u, -2*b + 66 = 3*u + 18. Suppose 2*p = 2, 7*w = 2*w + 4*p - 134. Calculate the remainder when (0 + 2)/((-1)/w) is divided by u.
16
Let i(g) = g**3 + 6*g**2 + 2*g + 6. Suppose 0 = -3*y - p + 53, p = -103*y + 105*y - 42. What is the remainder when i(-5) is divided by y?
2
Let x = 307 + -283. Calculate the remainder when 36 is divided by x.
12
Let k = 4 - -6. Calculate the remainder when 76000/2720 + 1/17 is divided by k.
8
Suppose 5*h - 20 = -0*h. Calculate the remainder when ((-88)/20 - -10)/(-2*2/(-10)) is divided by h.
2
Let t(g) = 3 + 0 - 6 - 4 + 4*g. Calculate the remainder when t(11) is divided by 2 + 2 + 14 + 2.
17
Suppose 2*s - 72 = 6*s. Let x = -308 - 760. Calculate the remainder when x/s*(-3)/(-2) is divided by 13.
11
Suppose 0 = -3*d - 3*j + 3, 2*d = -d + 2*j - 7. Let r(k) be the second derivative of -5*k**3 - 2*k. What is the remainder when r(d) is divided by 8?
6
Let o(u) = -86*u**2 + 96*u**2 - 6 - 5*u + u**3 - 7. Calculate the remainder when 183 is divided by o(-10).
35
Let y(z) = 67*z**3 + 2*z - 1. Suppose 7*o - 4*o + 3 = 0, -50 = -2*t + 4*o. Calculate the remainder when y(1) is divided by t.
22
Suppose 5*n + 4*b = -1, -4*n + b + 24 = -2*b. Suppose -z - z + 5*d + 34 = 0, 4*d - 28 = -n*z. What is the remainder when 21 is divided by z?
9
Let c(y) = y + 4. Let k be c(-5). Let r be k/(-2) + (-34)/(-4). Suppose -11 = -4*p + r. What is the remainder when 14 is divided by p?
4
Let b(g) = -g - 5. Let s be b(-18). Suppose 2*m = 4*z + 82, 3*m + 4*z - 106 = -s. Let l = 0 + 9. What is the remainder when m is divided by l?
8
Let l = -3 - -24. Calculate the remainder when l is divided by (0 + 6)*(-3 + 4).
3
Suppose 3*w - 3 = 0, 2*g + 4*w + 1616 = 6*g. Suppose 0*f = -5*f + 5*l + g, 2*l - 4 = 0. Calculate the remainder when f is divided by 42.
41
Calculate the remainder when 12 is divided by 3/(-1) + 4 + -1 + 4.
0
Suppose 0 = -31*u - 15*u +