by a.
6
Suppose 1 + 1 = f. Suppose f*l + 0*l = 86. Suppose 0 = 2*s + 5*x - l, x - 30 = -4*s + 11. Calculate the remainder when 16 is divided by s.
7
Let h(s) = s**2 - 7*s - 6. Let y be h(8). Suppose -2 = -y*k + 2. Calculate the remainder when 4 is divided by k.
0
Suppose -4*r + m + 20 = 0, -3*r = -5*r - 2*m + 10. Calculate the remainder when 62 is divided by r.
2
Let r be 1/2*(1 + 5). Suppose 135 = r*m + 3*g, -2*m + 4*g + 31 = -35. Calculate the remainder when m is divided by 21.
20
Suppose -c + 3*c = 0. Suppose -2*z - 24 + 74 = c. What is the remainder when 74 is divided by z?
24
Suppose 5*o = 53 + 92. Calculate the remainder when o is divided by 16.
13
Let i(g) = g**2 + 4*g + 2. Let d be i(-4). Suppose o + 25 = a, d*a - 33 + 3 = -2*o. Let r = -56 + 95. What is the remainder when r is divided by a?
19
Suppose 4*h + 4*k - 2*k - 36 = 0, 40 = 5*h + 5*k. What is the remainder when 27 is divided by h?
7
Let b be ((-2)/(-7))/((-9)/(-126)). Let t = b - 3. Calculate the remainder when 2 is divided by t.
0
Suppose 4*c - 117 = 3*z, 5*c - 204 = z - 55. What is the remainder when 118 - ((-12)/54 + 4/18) is divided by c?
28
Let n = 4 + -10. What is the remainder when 27 is divided by 21/3*n/(-3)?
13
Suppose 142 = 9*l - 29. Calculate the remainder when 36 is divided by l.
17
Suppose 3*i + 3*d - 38 = 10, 88 = 5*i + 3*d. What is the remainder when i is divided by 8?
4
Let w = -51 - -79. Let z(o) be the first derivative of o**3/3 - 2*o**2 - 2*o - 8. What is the remainder when w is divided by z(6)?
8
Suppose -3*c = 13*c - 880. What is the remainder when c is divided by 19?
17
Let m(p) = 10*p**3 - p**2 + p - 1. What is the remainder when 17 is divided by m(1)?
8
Let t(l) = l**3 - 6*l**2 + 3*l - 8. Suppose -2 = -a, 3*y - 137 = -2*y + 4*a. What is the remainder when y is divided by t(6)?
9
Suppose 35 = -3*r + 8*r. Calculate the remainder when 27 is divided by r.
6
Suppose 18*b - 258 = 16*b. What is the remainder when b is divided by 44?
41
Suppose -10 = -4*s + 14. Let z(q) = s - 3*q + 13 + 4*q + 13. What is the remainder when z(0) is divided by 11?
10
Suppose 73*q - 76*q = -102. Calculate the remainder when q is divided by 9.
7
Let s be 115/3 - 2/6. Calculate the remainder when -1 - (-3 - (s - 0)) is divided by 21.
19
Suppose 12*o - 10*o = 8. Suppose o*w = 10 + 10. What is the remainder when 14 is divided by w?
4
Suppose 2*l + 384 = 5*w, w - 3*l + 0*l - 82 = 0. What is the remainder when -2*w/8*-1 is divided by 7?
5
Suppose 4 = 2*t + 2*w, -2*w + 5*w = 2*t - 4. Suppose p - t = 12. Calculate the remainder when 41 is divided by p.
13
Let f = -12 + 20. What is the remainder when 39 is divided by f?
7
Suppose 0*h - p - 30 = 4*h, -5*p + 25 = -5*h. What is the remainder when 17 is divided by (-61)/h - 6/(-21)?
8
Let q be ((-104)/(-16))/(2/4). Suppose -q = -2*y - y + 5*u, 0 = -3*y + u + 29. Let n = 18 - y. What is the remainder when n is divided by 3?
1
Suppose 2 = 4*v - n - 25, 0 = 4*v + 4*n - 52. Suppose -b = -3*b + v, 82 = 2*r - 2*b. Calculate the remainder when r is divided by 16.
13
What is the remainder when 44 is divided by -4 - (-26*2)/4?
8
Let k(b) = 2*b**3 + 5*b - 24. Let a(r) = -3*r**3 - 8*r + 36. Let o(l) = -5*a(l) - 8*k(l). Calculate the remainder when 34 is divided by o(0).
10
Let n = -160 + 174. What is the remainder when (-1 + -52)/(2/(-2)) is divided by n?
11
Let r(q) = -q**2 - 15*q + 38. Let k be (-1)/3 + (-140)/(-6). Let p = k - 13. What is the remainder when p is divided by r(-17)?
2
Suppose 4*d - 169 = 19. Let r = d + -27. What is the remainder when r is divided by 7?
6
Suppose 3*o = -o. Suppose j - 20 + 9 = o. Calculate the remainder when 41 is divided by j.
8
Let g = 4 + -2. Calculate the remainder when 7 is divided by g.
1
Suppose -r + 4*k = -25, -2*r + 5*r - 24 = -5*k. Let o be ((-90)/(-4) - 2)*2. Suppose 0 = -t - 17 + o. Calculate the remainder when t is divided by r.
11
Suppose 3*n - 164 = 34. Suppose b = -0*b + n. Calculate the remainder when b is divided by 17.
15
Suppose -4*s + 5*t + 24 = 0, 2*s = -4*t + t + 12. Suppose 85 = s*c + 1. Suppose 20 + 7 = h. Calculate the remainder when h is divided by c.
13
Calculate the remainder when (-114)/(-9) + (-12)/(-9) is divided by 8.
6
Let n(a) = a**3 + 6*a**2 + a - 4. What is the remainder when n(-5) is divided by 9?
7
Let z(h) = 3*h + 2. Let x(j) = -2*j. Let a be x(-3). Calculate the remainder when 57 is divided by z(a).
17
Let p(z) = 16*z - 3. Calculate the remainder when p(2) is divided by 15.
14
Suppose -3*z + 6*z - 15 = 0. Let h be 0 - (-4)/((-12)/(-9)). Let x = z - h. Calculate the remainder when 2 is divided by x.
0
Let z be 1 + 1 - (-3 - -3). What is the remainder when (2 - 29/(-1)) + -2 is divided by 6/z*(-30)/(-9)?
9
Let x be (30/4)/((-3)/(-24)). Suppose 4*m - x = 12. What is the remainder when (-26*1)/((-1)/2) is divided by m?
16
Let b = 39 - 28. Calculate the remainder when 19 is divided by b.
8
Suppose 4*b - 5*l = 112, -2*b - 3*l + 50 = -4*l. Let x(q) = 4*q**2 - q - 5. Calculate the remainder when x(5) is divided by b.
21
Let y be (-40)/(-6) + 1/3. Let q(d) = d**3 - 7*d**2 + 4*d + 2. Calculate the remainder when q(y) is divided by 8.
6
Let s = 76 - 45. Calculate the remainder when s is divided by 16.
15
Calculate the remainder when 69 is divided by -1 + 5/7 - (-4864)/266.
15
Suppose 3*x - 26 = 10. What is the remainder when 21 is divided by x?
9
Suppose 272 + 0 = 4*n. Calculate the remainder when n is divided by 36.
32
Let x be -3 + 1 - -3 - -8. Let t = x - 5. What is the remainder when 11 is divided by t?
3
Let t = 9 + 7. What is the remainder when t is divided by 11?
5
Let a(s) = -5*s - s**2 - 2 - 3*s + 7. Suppose -1 - 34 = -w. What is the remainder when w is divided by a(-7)?
11
Let o = 130 - 84. Let f(n) = 1 + 3*n + 3 + 0*n. What is the remainder when o is divided by f(4)?
14
Suppose -4*o - 42 = -7*o. What is the remainder when 25 is divided by o?
11
Suppose -2*r + 234 = 4*f, 2*r + 5*f = -0*r + 234. What is the remainder when (-14)/35 - r/(-5) is divided by 6?
5
Suppose 0*k - 4*t + 23 = 3*k, -3*k + 2*t + 29 = 0. Let n = -7 + k. Let o(i) = 10*i**2 + 3*i - 2. What is the remainder when o(n) is divided by 23?
21
Let u(p) = 17*p - 2. Calculate the remainder when 95 is divided by u(2).
31
Let j = 61 + -2. Calculate the remainder when j is divided by 31.
28
What is the remainder when 264 is divided by ((-106)/(-6))/(-4 + (-52)/(-12))?
52
Let a(t) be the second derivative of 2*t**3/3 + 3*t**2/2 + 10*t. Calculate the remainder when 54 is divided by a(2).
10
Suppose 0 = -r, -5*l - 4*r + 10 = -0*l. What is the remainder when 4 + -2 + (-6)/(-2) is divided by l?
1
Let k(t) = 4*t**2 - 3*t. Let m be k(2). Let w be (m/30)/((-2)/(-30)). Suppose 0*l - 83 = -w*y - l, 0 = l + 2. What is the remainder when 32 is divided by y?
15
Suppose 13 + 8 = r. Let l(s) = 2*s**2 - 3*s - 13. Calculate the remainder when l(6) is divided by r.
20
Let f(a) = -a**3 + a + 1. Suppose -4*m - 5 + 17 = 0. Suppose 2*l + 2*t = 28, -m*t + 0*t + 6 = 0. Calculate the remainder when l is divided by f(-2).
5
Let i(q) = 4*q**2 - q + 7. Let s be i(5). Let r = 64 + -32. Calculate the remainder when r is divided by s/9 + 2/(-6).
10
Let h = 7 - -9. Suppose 0 = 6*z - 194 - h. What is the remainder when z is divided by 12?
11
Let z = -65 + 98. What is the remainder when z is divided by 17?
16
Suppose -7*p - 12 + 929 = 0. What is the remainder when p is divided by 6?
5
Let m(f) = -5*f**2 - 3*f**2 + f**3 + 6*f**2 + 2*f - 3. Calculate the remainder when 35 is divided by m(3).
11
Let f(j) = 12*j - 2. Let g be f(9). Suppose 4*a = -12, -g = -5*m - 3*a + 5*a. Calculate the remainder when 58 is divided by m.
18
Suppose 3*v - 11 = -2*q + 4, v + 28 = 3*q. Calculate the remainder when 43 is divided by q.
7
Let d(h) = -h**2 + 11*h. What is the remainder when d(6) is divided by 8?
6
Suppose -3*q - 2*c + 63 = 2*c, -5*q + c + 128 = 0. Calculate the remainder when q is divided by 15.
10
Suppose -3 = -5*k + 17. Let c be 3/(-12) + 18/8. Suppose -c*z + 9 = z. Calculate the remainder when k is divided by z.
1
Let t(m) = -m**2 - 10*m - 9. Let x be t(-9). Let f = -16 + 28. Suppose 3*j = -s + 12, x*s - f = -s + j. Calculate the remainder when s is divided by 7.
5
Let t = -43 - -49. What is the remainder when 21 is divided by t?
3
What is the remainder when (