9?
18
Let i(d) be the first derivative of 3*d**2/2 + 5*d - 6. What is the remainder when i(8) is divided by (-3)/(12/(-10) + 1)?
14
Calculate the remainder when (-74)/(-3) + 2/6 is divided by 9.
7
Suppose -2*f + 3*f - 13 = 0. Calculate the remainder when 48 is divided by f.
9
Suppose 4*k = 31 + 5. Suppose -10*m + k*m = -27. Calculate the remainder when 53 is divided by m.
26
Suppose -42 = -4*c + 2*y, 4*c - 3*c + 3*y - 14 = 0. What is the remainder when 238/8 + (-1)/(-4) is divided by c?
8
What is the remainder when 561/15 - 8/20 is divided by 8?
5
Suppose -4*a - u + 149 = 0, -a + 3*a - 82 = 2*u. Calculate the remainder when a is divided by 13.
12
Suppose -q + 3 - 2 = 0. Suppose -4*x - 3*s = 2*s + 11, 5*x = s + 8. What is the remainder when q is divided by x?
0
Suppose 109 = 5*u - 4*l, -4*u + 80 = l - 6*l. Let n(z) = -9*z. Calculate the remainder when u is divided by n(-1).
7
Suppose -5 = -7*t + 184. Suppose 0 = s + 3*s - 40. What is the remainder when t is divided by s?
7
Suppose -5*h + 11 = -9. Let p(y) = 3*y**2 - 2. What is the remainder when p(h) is divided by -6*(-4)/9*6?
14
Let k(g) = g**2 + 7*g + 15. What is the remainder when 115 is divided by k(-6)?
7
Suppose 0 = 2*y - 15 + 3. Suppose -y = -5*x - 1. What is the remainder when x is divided by 0/2 + (-2)/(-2)?
0
Let a(q) = 16*q - 5. Let m = -15 - -30. What is the remainder when a(4) is divided by m?
14
Let d(b) = -b + 12. Suppose -3*l + 15 = 0, -4*l - 12 = -5*k + k. Let p be d(k). Let n = p + 1. What is the remainder when 8 is divided by n?
3
Let h = -33 + 67. What is the remainder when h is divided by (-9)/4*(-16)/3?
10
Let k = 25 - 24. Calculate the remainder when 1 is divided by k.
0
Suppose 0 = -5*x + 3*s + 103, 5 = x + s - 14. What is the remainder when 39 is divided by x?
19
Let p = -2 - -12. Calculate the remainder when 16 is divided by (p + -28)*1/(-2).
7
Let w = -13 + 9. Let q(s) = -5*s + 5. Calculate the remainder when q(w) is divided by 9.
7
Let l = 5 + -1. Suppose l*b - 4 = 32. Calculate the remainder when 17 is divided by b.
8
Suppose 3*y = 3*l - 105, 0 = -10*y + 7*y. Calculate the remainder when l is divided by 29/3 - 1/(-3).
5
Calculate the remainder when (-50)/12*-3*2 is divided by 13.
12
Let c = 10 - 4. Let v(q) be the second derivative of -q**4/12 - q**3/6 + 8*q**2 - 3*q. What is the remainder when v(0) is divided by c?
4
Let z(r) = -6*r + 10. What is the remainder when z(-4) is divided by 12?
10
Let a(g) = 3*g + 2 - 7 + 3 - 25*g. Let x be a(-2). Suppose 0 = 2*i + i - x. What is the remainder when 41 is divided by i?
13
Suppose 0*c - 16 = -4*h - 3*c, -4*h + 16 = -5*c. What is the remainder when h is divided by 3?
1
Let l = 22 + -71. Let f = 61 - 94. Let m = f - l. What is the remainder when 30 is divided by m?
14
Calculate the remainder when 61 is divided by (12/21)/((-2)/(-28)).
5
Let x(r) = r**2 + 3*r + 12. Let s be x(-8). Suppose 0 = -n - 3*n + s. Calculate the remainder when (25/3)/(2/6) is divided by n.
12
Suppose 48 = 2*y + 4*y. Suppose 0 = -4*g - y, 4*c + 3*g - 2 = -2*g. Calculate the remainder when c is divided by 2.
1
Let a(w) = w - 5. Let u be a(6). What is the remainder when 7 is divided by u + (-6)/(-3) + 0?
1
Let s = 35 - 16. Calculate the remainder when s is divided by 11.
8
Suppose -41 = -2*y - r + 14, 0 = -3*y + 4*r + 99. Suppose -5*b + 2*t + 435 = 0, 23 = b - 5*t - 87. Calculate the remainder when b is divided by y.
27
Let k(c) = 5 - 3*c**2 + c**3 + c**2 - 4*c - 3*c**2. Suppose -26 = -5*s + 4. Calculate the remainder when k(s) is divided by 9.
8
Let j = 7 - 4. Suppose -2*m + 18 = 5*i, m + 5 = -j*i + 13. Calculate the remainder when 27 is divided by m.
13
Suppose -v + 15 = -6*v, -3*v + 16 = 5*y. Calculate the remainder when 7 is divided by y.
2
Suppose m = 4*h - 0*m - 193, 3*h = -5*m + 139. Calculate the remainder when h is divided by 13.
9
Let t = 94 + -63. Calculate the remainder when t is divided by 6.
1
Let m = -71 - -103. Let p(z) = -z**3 + 7*z**2 + 3*z - 10. What is the remainder when m is divided by p(7)?
10
Suppose -h - 4*g = -66, -5*h + g = -g - 330. Suppose 18 = -3*d + h. What is the remainder when d is divided by 6?
4
Let u(n) = 4*n - 3. Calculate the remainder when 49 is divided by u(5).
15
Let y = -11 - -5. Let m = y + 12. What is the remainder when 11 is divided by (-4)/m*(4 - 10)?
3
Let a(t) = 2*t**2 + 2*t + 17. Calculate the remainder when a(0) is divided by 7.
3
Suppose -3*y + 62 = 14. Suppose a = q + q + y, 32 = 2*a + 3*q. Calculate the remainder when 30 is divided by a.
14
Suppose 136 = 4*f - 116. What is the remainder when f is divided by 13?
11
Suppose -4*m + 32 = 4*u, 9 = -u + 5*m - 7. What is the remainder when 6 is divided by u?
2
Suppose -5*o + 19 = -6. What is the remainder when 10 is divided by o?
0
Let z(h) = h**3 - h**2 - 7*h + 5. Let a = -8 + 10. Suppose a*t + 3 - 11 = 0. Calculate the remainder when z(t) is divided by 13.
12
Let b = 64 + -96. Let f = b + 50. Suppose -r - 4*a = a - f, 4*r = 3*a + 95. Calculate the remainder when r is divided by 12.
11
Suppose f = -4*f + 305. What is the remainder when f is divided by 31?
30
Let w = -2 + 5. Suppose 5*t - w*t = 6. Suppose 0 = -t*c + 4*c - 12. What is the remainder when 23 is divided by c?
11
Let f = -16 + 10. Let b(i) = i**3 + 7*i**2 + 6*i + 8. What is the remainder when 14 is divided by b(f)?
6
Let k = 49 - 35. What is the remainder when 25 is divided by k?
11
Suppose q = -3*q. Let j(x) = -x**2 + 4*x + 3. Let o be j(4). Suppose q*g - 30 = -o*g. Calculate the remainder when 19 is divided by g.
9
Let q = 6 - 2. Let w(x) = x - 1. Let c be w(1). Suppose 2*y - q - 20 = c. What is the remainder when 35 is divided by y?
11
Let c(w) = 2*w**2 - 6*w + 8. Let h be c(4). Let y = h + -8. What is the remainder when 28 is divided by y?
4
Let h be 2/(-7) + 4731/21. Let u = h + -120. Calculate the remainder when u is divided by 27.
24
Suppose 2*d + 56 = 3*n, n + 5*d - 12 = 18. Suppose 3*i - 7*i + n = 0. Calculate the remainder when 9 is divided by i.
4
Suppose 0*g - 4*g = -8. What is the remainder when g is divided by -2 - (-1 - (0 - -2))?
0
Suppose -4*l + 10 = -102. Suppose 5*p = 8 - 3. What is the remainder when 1*-2 + p + l is divided by 14?
13
Let i(w) = w**3 - 6*w**2 - 6*w - 2. Let y be i(7). Let l = y + -2. What is the remainder when 3 - (5 + -10)/5 is divided by l?
1
Let s = 34 - 21. What is the remainder when 444/9 + ((-12)/9)/4 is divided by s?
10
Let y(m) = -19*m - 3. Let s be y(6). Calculate the remainder when 44 is divided by (-2)/5 + s/(-5).
21
Suppose 3*c = 3*v + 45, 5*c - 4*v + 8*v - 111 = 0. Suppose -3*n = 5*w - 0*n - 10, -5*w + 20 = 5*n. What is the remainder when 279/5 - w/5 is divided by c?
18
Suppose 2*i - 19 = 17. Calculate the remainder when (-2)/(-2)*(36 - 1) is divided by i.
17
Let c(i) = i**3 + 7*i**2 - 2*i - 4. Let y be c(-7). Let k = y + -4. Let r = -4 + 8. What is the remainder when k is divided by r?
2
Suppose 0 = p - 19 - 9. Suppose 5*a = 9 + 6. Suppose p = -z + a*z. What is the remainder when 40 is divided by z?
12
Suppose 18 = 5*i + 3. Let l = i + 1. Calculate the remainder when 1*(-11)/(-5)*5 is divided by l.
3
Let v(y) be the first derivative of -y**4/4 + 8*y**3/3 - 7*y**2/2 + 6*y + 1. Suppose -48 = -3*p - p. What is the remainder when v(5) is divided by p?
10
Suppose 3*c - 3*i + 6*i - 105 = 0, -110 = -3*c - 4*i. Calculate the remainder when c is divided by 11.
8
Suppose 0 = -5*s - 0*s + 205. Calculate the remainder when s is divided by 11.
8
Let s(y) = -y**3 + 5*y**2 + 4*y - 12. Calculate the remainder when 13 is divided by s(5).
5
Suppose 1 = -4*y + 5, 5*y = -4*v + 89. Calculate the remainder when v is divided by 6.
3
Let w = 9 + 119. Calculate the remainder when w is divided by 27.
20
Let d(k) be the first derivative of k**4/4 + 4*k**3/3 - k**2 - 2*k + 4. Calculate the remainder when d(-4) is divided by 3.
0
Suppose -5*b - 20 = 5*x, -4 = 3*b - 2*b + 3*x. Let h be 60/(-16) + 1/b. Calculate the remainder when 64 is divided by 22 - 0*2/h.
20
Suppose -6*m = -5*m - 11. Calculate the remainder when 30 is divided by m.
8
Suppose 2*z - 2*g - 27 = g, 0 = 2*z + 4*g - 20. What is the remainder when z is divided by 3?
0
Let b = -11 - -7. Calculate the remainder when (-2)/4 + (-130)/b is divided by 11.
10
Suppose 0 = 8*r - 6*r + 4. Calculate the remainder when 32 