the remainder when y is divided by v.
6
Let m(i) = -2*i - 6. Suppose 15 = 2*y + 3*y. Let j = y - 11. What is the remainder when 28 is divided by m(j)?
8
Suppose 3*s - 5*s + 100 = 0. Let i = s + 49. What is the remainder when i is divided by 34?
31
Let o(j) = -j**3 - j**2 + j + 2. Let w be o(0). Suppose -2*x - 4*d + 50 = d, w*x = -d + 34. What is the remainder when 42 is divided by x?
12
Let l(q) = -q + 11. Calculate the remainder when (21/2)/(3/6) is divided by l(5).
3
Suppose f = -f + 98. Suppose 0 = -3*a - w + 43, a - 4*a - 2*w + 47 = 0. Calculate the remainder when f is divided by a.
10
Suppose -5*a - 4*h - 35 = 0, -3*h - 31 + 3 = 4*a. Let l = -4 - a. Suppose -2*z - y + 5 = 0, 2*z = 4*z - 4*y. Calculate the remainder when l is divided by z.
1
Suppose 3*s = -2*b + 24 + 54, 5*s - 134 = -2*b. What is the remainder when s is divided by (-1 + 9/4)*8?
8
Let s(u) = u**3 + 6*u**2 - u - 4. Let b(l) = 2*l + 3. What is the remainder when b(0) is divided by s(-6)?
1
Suppose a = 9 + 16. Let d = 30 + -13. Suppose -4*o + 19 = -d. Calculate the remainder when a is divided by o.
7
Calculate the remainder when 16/((-4 - -9)/30) is divided by 21.
12
Let o(r) = -4*r - 1. Let q be o(-1). Suppose 5*n - 55 = q*g, n = -4*g + 5 - 17. Suppose -177 = -5*w - 67. What is the remainder when w is divided by n?
6
Let h(f) = -2*f**2 + 4*f + 6. Let p be h(-5). Suppose 3 = 4*a - 9. Let g = a - p. What is the remainder when g is divided by 23?
21
Suppose -8 = 4*w, -5*x + w + 83 = -3*w. Suppose 0*n = n - x. Suppose -5*r + 37 = 5*m - 4*m, 4*r - 4*m = 44. What is the remainder when n is divided by r?
7
Let c(p) = 2*p. Calculate the remainder when 52 is divided by c(9).
16
Suppose 4*h - 520 = -4*j, h = 4*j + 208 - 748. Calculate the remainder when j is divided by 27.
26
Suppose 0 = -2*g - 0*g + 48. What is the remainder when 69 is divided by g?
21
Let l(p) = 3*p - 1. Suppose -2*i - 8 = -4*i. What is the remainder when i is divided by l(1)?
0
Let h = 144 - 125. Calculate the remainder when 51 is divided by h.
13
Let s be 116/6 + (-3)/9. Suppose -3*o + 66 = -3*y, -s = -4*o - y + 59. Calculate the remainder when o is divided by 11.
9
Let c(j) = -7*j + 2. Calculate the remainder when c(-2) is divided by (3/5)/((-3)/(-30)).
4
Suppose -20 = -4*z, -3*z + 15 = -3*o + 6. Calculate the remainder when (5/2)/(5/10) is divided by o.
1
Let j = -48 + 70. Calculate the remainder when 42 is divided by j.
20
Let m(v) = v**3 + 5*v**2 - 5*v + 8. Let j be m(-6). Let o(n) = -n**2 - 6 + 0*n**j + 9*n + 1. Calculate the remainder when 7 is divided by o(8).
1
Suppose 2*r = -g + 5 + 14, r - 86 = -5*g. Let t = -147 + 214. What is the remainder when t is divided by g?
16
Let k(c) = -4*c + c**3 - 9*c**2 - 6 - 3 - 2. Calculate the remainder when k(10) is divided by 17.
15
Let h = -2 + 43. Let i(o) = -o**3 + 5*o**2 + 7*o + 8. Let j be -3 - (-2 + -10) - 3. What is the remainder when h is divided by i(j)?
13
Let t = -16 - -30. Let x(b) = -53*b + 1. What is the remainder when x(-1) is divided by t?
12
Let i(s) = 4*s**2 - 3*s - 2. Let k be i(-2). Suppose 2*t + 11 + 3 = 2*q, -3*q + 41 = 2*t. What is the remainder when 0/(-2) + (k - -1) is divided by q?
10
Let f = -4 - -26. Suppose 0*u = u - 5, -u + 35 = 3*x. Calculate the remainder when f is divided by 88/14 + x/(-35).
4
Suppose -3*v + 12 = -0*v, -4*b + 52 = v. Let o = 4 + -6. Calculate the remainder when b is divided by (-1)/((-30)/14 - o).
5
Let r(l) = l**3 - 3*l**2 + 5*l - 5. Calculate the remainder when 44 is divided by r(3).
4
Suppose 4*d - 6*d + 10 = 0. Suppose -q + 17 = d*g - 10, 3 = -q + 5*g. What is the remainder when 34 is divided by q?
10
Suppose 13*t + 26 = 14*t. What is the remainder when 102 is divided by t?
24
Calculate the remainder when 2 + -1 + 24 + 0 is divided by 13.
12
Suppose -56 = -5*t + t. Calculate the remainder when 38 is divided by t.
10
Let o = -6 + 10. What is the remainder when 19 is divided by o?
3
Let o(d) = d**3 - 5*d**2 - 2*d - 8. Suppose 3*m - 33 = -0*m - 3*v, 4*v - 50 = -5*m. What is the remainder when 47 is divided by o(m)?
15
Let i(c) be the first derivative of c**2 + 4*c - 4. Let x be i(3). Suppose 0 = -5*b + 4*a + x, 55 - 6 = 4*b + 5*a. What is the remainder when b is divided by 3?
0
Let n(m) = 2*m + 12. What is the remainder when 63 is divided by n(5)?
19
Suppose -4*k + 3*z = -0*z - 229, -5*k + 5*z + 280 = 0. What is the remainder when k is divided by 9?
7
Let y = 4 + 0. Suppose 5*r + y*h - 35 = -10, 0 = -2*h + 10. What is the remainder when r is divided by 1?
0
Suppose -4*u + 5*p - 3*p + 74 = 0, 27 = 2*u + p. Let w be (-47)/(-3) - 6/9. Suppose c - w = 31. What is the remainder when c is divided by u?
14
Let p = 29 - 8. Let k(f) = -4 - 6 + 2 + 2*f**2 + 4*f. Calculate the remainder when k(-6) is divided by p.
19
Let d = 39 + -12. Let y = -17 + d. What is the remainder when 15 + 5 + (-4)/2 is divided by y?
8
Suppose 0 = 4*u - 2*u - 28. Let x = 37 - u. What is the remainder when x is divided by 6?
5
Let j(y) = y**3 + 4*y**2 - 5*y - 3. Let n(o) = 3 + o**2 + 0 - 3*o - o**3 + 4*o**3 + o**3. What is the remainder when n(2) is divided by j(-4)?
16
Let z be (-4)/(-6) + (-44)/(-6). Calculate the remainder when 2/(-14)*2 - 306/(-42) is divided by (z/10)/((-1)/(-5)).
3
Let r = 45 + -70. Let g = 42 + r. Calculate the remainder when g is divided by 4.
1
Calculate the remainder when (-1)/(-10) - 12135/(-150) is divided by 29.
23
Suppose 1 = u - 2*v, 8*u - 4*v = 4*u + 8. Calculate the remainder when u is divided by 1.
0
Let k(f) = -8 + 0 + 1 + 2*f. What is the remainder when -2*1 - (-4 - 11) is divided by k(7)?
6
Suppose 2*u + 5*q = 29 + 9, 2*u - 2*q = 52. What is the remainder when 95 is divided by u?
23
Let p(y) = -y + 6. Let w(r) = r + 3. Let l be w(-6). Calculate the remainder when 32/3 - 1/l is divided by p(-1).
4
Suppose -p + 4*b = -3*p - 10, 2*p = -2*b - 2. Let u = p + 13. Calculate the remainder when 47 is divided by u.
15
Let h = -5 + 13. Let j = -14 - -35. What is the remainder when j is divided by h?
5
Let r be ((-1)/3)/((-3)/(-9)). Let l(x) = 80*x**2. Let z be l(r). Suppose d = 6*d - z. What is the remainder when 62 is divided by d?
14
Let m(c) = -c**2 - 3*c + 1. Let d(a) = a**3 - a**2 + a + 1. Let x be d(0). Let p = -1 - x. Calculate the remainder when 7 is divided by m(p).
1
Suppose -110*d = -109*d - 11. Calculate the remainder when 34 is divided by d.
1
Suppose 4*d - 120 = -4*g + 6*d, -3*g + d = -92. Calculate the remainder when 122 is divided by g.
26
Suppose -4*p - 8 = -3*l + 8*l, -4*p + 12 = 0. Calculate the remainder when (27/l)/((-12)/32) is divided by 10.
8
Let x(l) = 5*l**3 - 7*l**2 + 15*l + 8. Let g(a) = 4*a**3 - 8*a**2 + 14*a + 7. Let n(t) = 4*g(t) - 3*x(t). What is the remainder when 54 is divided by n(10)?
12
Let i be (-4 + 5)*(-4)/2. Let x(s) = -3*s**3 - 4*s**2 - 2*s. Calculate the remainder when x(i) is divided by 7.
5
Let x(t) = 2*t - 10. Calculate the remainder when 41 is divided by x(16).
19
Suppose 5*b = -8 - 27. Let p = b - -7. Suppose -2*t + 5*t - 36 = p. Calculate the remainder when 34 is divided by t.
10
Let l(q) = -50*q + 1. Let m be l(-4). Suppose 0 = o - 4*o + m. Suppose o = 5*b + 2. What is the remainder when 24 is divided by b?
11
Suppose 0*d + d - c = 12, -c = 5*d - 42. Calculate the remainder when (-67)/(-3) + 6/d is divided by 10 + (-2)/3*3.
7
Let i = -32 + 61. What is the remainder when i is divided by 19?
10
Suppose -s + 8 - 6 = 0. Suppose 0 = -5*c - 5*y, -2*y = 5*c + s - 8. What is the remainder when 2 is divided by c?
0
Let z(q) be the second derivative of 27*q**5/4 - q**3/6 - q**2/2 - 3*q. Let u be z(-1). Let f = -74 - u. Calculate the remainder when f is divided by 21.
19
Let t(a) = -7*a - 3. Let h be t(-4). Suppose -2*z = 3*b - h, 3*b - 2*z - 22 = -7*z. Suppose 4*w - 2 = 62. Calculate the remainder when w is divided by b.
7
Suppose -3*l + 2*l = 3, 3*o = -l + 66. Let f be (8/5)/(3/(-15)). Let s = f - -16. Calculate the remainder when o is divided by s.
7
Let d = 63 - 18. Suppose 3*x - 39 = 3*c, c = -4*x + 2 + d. Calculate the remainder when 22 is divided by x.
10
Suppose i - 5 = -1. Let o be (-2)/(-4) - 2/i. Suppose o*s = s - 13. Calculate the remainder when 25 is divided by s.
12
Suppose 4*o - 2*z = 33 + 43, -3*z = o - 33. What is the remainder when 81 is divided by o?
18
Let p be 10/((