 + q*g - 11 = 3*g, -4*s = -2*g - 14. Calculate the remainder when (-4)/(-3)*(-6)/(-2) is divided by s.
0
Let x(y) = y - 4. Let k be x(4). Suppose -4*n + 36 + 16 = k. Calculate the remainder when 24 is divided by n.
11
Suppose -6 = -4*s - 2. Calculate the remainder when (-2 + -12)*s*-2 is divided by 10.
8
Let n = 9 + -6. Let h = 2 + 2. Suppose -h*v = s - 18, -3*s + 0*s - 11 = -v. Calculate the remainder when v is divided by n.
2
Suppose -61 = -2*c + c. What is the remainder when c is divided by 21?
19
Suppose -2*c + 21 = -3*c. Let n = -5 - c. Suppose 5*j = 4*v + 1, -34 = -3*v - v - 2*j. Calculate the remainder when n is divided by v.
4
Let p(a) = 7*a**3 - 2*a**2 + 5*a - 4. What is the remainder when p(2) is divided by 28?
26
Let t(g) = g**2 - 2. Let x be t(0). Let n = x + 5. What is the remainder when 11 is divided by n?
2
Let u = 143 - 78. Suppose -21 = 2*h - u. What is the remainder when 64 is divided by h?
20
What is the remainder when (-159)/(-4) + (-4)/(-16) is divided by 22?
18
Let r = -2 + 5. Suppose -r*m = -o - 8, 0 = -3*m + 2*o + 12 + 1. Calculate the remainder when m is divided by 1.
0
Let g(f) = 3*f**2 + f + 3. Let w(c) = -10*c**3 - 1. Let m be w(-1). Suppose 4*i = m + 15. Calculate the remainder when g(2) is divided by i.
5
Let v(q) = 2*q**2 + 3*q - 3. Let s = 75 + -26. What is the remainder when s is divided by v(-4)?
15
Let c(f) = -19*f**3 - 1. Let o be ((-4)/(-8))/((-1)/(-2)). Suppose -6 = 5*t + z, -2*t + 3*z + 0 = -o. What is the remainder when c(t) is divided by 10?
8
Let b(o) be the second derivative of o**3/6 + 2*o. Let n be b(-4). Calculate the remainder when (-336)/(-10) + n/(-10) is divided by 12.
10
Let q(f) = 5*f. Let c be q(6). Suppose 3*r - 4*x = -r + 24, -c = -5*r - 5*x. What is the remainder when 10 is divided by r?
4
Let j be 2/3 + (-26)/(-6). Suppose -j*t + 2*t = -9. What is the remainder when 9 is divided by t?
0
Let x be ((-4)/14)/(2/(-28)). Let c = 9 + 28. What is the remainder when c is divided by (2/8 - -3)*x?
11
Let d = 32 + -61. Let x = -83 + 41. Let l = d - x. Calculate the remainder when l is divided by 7.
6
Let i = 49 + -19. Let h = i - 10. What is the remainder when h is divided by 11?
9
Let p be (-15)/25*-1*5. Suppose 3 = p*n - 2*f, 2*n + 2 = -2*f + 14. What is the remainder when 14 is divided by n?
2
Let w(c) = 3*c + 4. Suppose -k - 15 = -2*y, k = -y + 2*y - 8. Let d be w(y). Let l = d - 2. Calculate the remainder when 45 is divided by l.
22
Suppose -6 = -4*j + j. Let a = j - -8. Let p(z) = -z**2 - 5*z. What is the remainder when a is divided by p(-4)?
2
Suppose y = 2*y - u - 1, 0 = y + 5*u - 13. Suppose -3*k = 2*k - 5*z - 85, -5*k + y*z = -83. Suppose -j + 25 = -k. What is the remainder when j is divided by 14?
13
Suppose -60 = -3*q + 3*g - 18, -2*g = 2*q - 12. Calculate the remainder when 14 is divided by q.
4
Suppose 0 = 3*y + 5*h - 25 + 5, 2*h = -y + 7. Suppose -2 + 27 = y*d. Suppose -48 = k - d*k. Calculate the remainder when 22 is divided by k.
10
Let y(w) = 5*w + 7. Let s(o) = o**2 - 3. Let g be s(0). Let v be (-6)/(-9) + (-13)/g. What is the remainder when y(v) is divided by 17?
15
Suppose o + 2*y = -2*y + 40, 4*y = o - 32. What is the remainder when o is divided by 5?
1
Let c(l) = -6*l + 1. What is the remainder when c(-3) is divided by 5?
4
Let g(i) = 10*i - 5. Let l be g(6). Let v = -26 + l. Suppose 60 = 21*o - 17*o. Calculate the remainder when v is divided by o.
14
Let r = 1 + 0. Let i(y) be the first derivative of 11*y**4/2 - y**3/3 + y**2/2 - y - 35. What is the remainder when i(r) is divided by 8?
5
Suppose 27 = 5*f + 7. Suppose 5*x + 25 - 75 = 0. Let y = -4 + x. What is the remainder when y is divided by f?
2
Let i = 1 - 8. Let t(x) = -x + 9. Calculate the remainder when t(i) is divided by 9.
7
Suppose -7 = 2*w - 11. Suppose -p + w = 2*i - 22, -2*p - i + 36 = 0. What is the remainder when 45 is divided by p?
13
Let r = -12 - -14. Suppose 6*u = r*u + 72. Calculate the remainder when 35 is divided by u.
17
Let r(v) = -v**3 + 5*v**2 - 5*v + 4. Suppose -5*o + y = -100, 80 = 4*o - 3*y + 8*y. Calculate the remainder when o is divided by r(3).
6
What is the remainder when (1 - (-22)/(-6))*78/(-4) is divided by 11?
8
Let o be (-48)/(-21) - 2/7. Let q(f) = 6*f - 1. What is the remainder when 43 is divided by q(o)?
10
Suppose 6*y - 3*y - 3*i - 36 = 0, -2*i = -y + 15. What is the remainder when 44 is divided by y?
8
Suppose -53 + 3 = -5*j. Suppose -2*y = -2*n - 14, 7*n + 9 = y + 4*n. Calculate the remainder when j is divided by y.
4
Suppose 0 = -6*l + l + 15. Let a = 72 + -32. Suppose 5*c + 0*c = a. What is the remainder when c is divided by l?
2
Let j(f) = -f**2 - 8*f + 11. Let m be j(-5). Suppose -h + 2*h = 0. Suppose h = -4*c + 6 + m. What is the remainder when 23 is divided by c?
7
Let w(b) = 3*b - 1. Suppose 0 = -2*i - 5*x - 10, -3*i + 1 + 30 = -4*x. What is the remainder when 25 is divided by w(i)?
11
Let k(s) = -s**3 + 7*s**2 - 6*s + 4. Let h be k(6). Suppose i + 25 = 5*n, 2*i - 3*i - 21 = -h*n. Calculate the remainder when 10 is divided by n.
2
Let i be 3 - (2 - 9/3). Suppose -u + 5*q + 22 = 0, 0*q = -q - i. What is the remainder when 7 is divided by u?
1
Let v(f) = 34*f**2 + f. What is the remainder when v(-1) is divided by 9?
6
Suppose -16 = -4*u - q + 23, 5*u - 2*q - 52 = 0. Calculate the remainder when 39 is divided by u.
9
Let u = 22 + -16. Suppose -z + 2*z + 5*q - u = 0, 5*q - 8 = -3*z. What is the remainder when 19 is divided by 0 + -1 - z*-8?
5
Suppose 5*u + 0*u + 4*c - 89 = 0, -2*c = -2*u + 32. What is the remainder when 31 is divided by u?
14
Let c(m) = 40*m**3 - 3*m**2 + 2. What is the remainder when c(1) is divided by 10?
9
Let r be (-6)/5*(-5)/2. Let l be 168/9 - 2/3. Suppose -g - l = -q, q + r*q - g - 63 = 0. What is the remainder when q is divided by 9?
6
Suppose 0 = -7*b + 6*b + 1. Suppose -2*g + 8 = -2. Let w = g - 3. What is the remainder when w is divided by b?
0
Let l(a) = -a**3 + 4*a**2 - a + 4. Let i(f) = f**2 + 4*f - 2. Let c be i(-5). Calculate the remainder when 17 is divided by l(c).
7
Suppose -4*r - r + 15 = 0. Let o = r + 2. Calculate the remainder when 13 is divided by o.
3
Suppose 6*s - 2*s = 60. Let r = s - 5. What is the remainder when r is divided by 6?
4
Let s = -24 - -35. What is the remainder when (-1)/4 + 387/12 is divided by s?
10
Suppose 6*v = 641 - 599. Suppose 2*a = 4*a - 3*o - 5, -2*o + 2 = 0. What is the remainder when v is divided by a?
3
Let x(q) = 2*q**2 - 24*q + 13. What is the remainder when 49 is divided by x(12)?
10
Let b be -1*(0 + 11 - -3). What is the remainder when 30 is divided by (b/35)/(1/(-20))?
6
Suppose 0*x = x - 3. Let f = -29 + 53. Calculate the remainder when f is divided by (-1)/x - 40/(-3).
11
Suppose -y = 3*n - 17, -4*n - y + 16 = -3*y. Suppose n*h + 0*h = 25. What is the remainder when 12 is divided by h?
2
Let s be 2*(-1 + 0 - -2). Suppose 10 = -s*y + y. Let w = y + 20. What is the remainder when 18 is divided by w?
8
Let b = 105 + -46. What is the remainder when b is divided by 30?
29
Suppose -4*p + 2*w = 144, 0 = -3*p - 0*w + 3*w - 111. Let x = p - -96. What is the remainder when x is divided by 16?
13
Let f = -53 - -103. Suppose 0 = -3*d + r + 46, -d - 3*r + f = 18. What is the remainder when 33 is divided by d?
16
Suppose -w + 114 = 4*m - 66, 122 = 3*m + 4*w. What is the remainder when m is divided by 17?
12
Let o(x) = 18*x**2 + x + 1. Suppose 6*s - 2*s - 3*g - 148 = 0, 0 = 2*s + 2*g - 60. Calculate the remainder when s is divided by o(-1).
16
Suppose 0 = 2*f, -3*k + f = 2*f + 39. Let l = k - -39. Calculate the remainder when l is divided by 9.
8
Suppose 0 = -4*w + 3*w + 8. Let s(u) = u**3 + 9*u**2 + u + 11. Let h be s(-9). Suppose 0*m = h*m - w. What is the remainder when 11 is divided by m?
3
Let l(s) = s - 8. Let q be l(8). Suppose 3*u + 2*p - 6*p - 155 = 0, -2*p + 2 = q. Calculate the remainder when u is divided by 14.
11
Let v(d) = 8*d - 3. Calculate the remainder when v(3) is divided by 6.
3
Let m(w) = -2*w - 3. Let v(a) be the third derivative of a**4/24 + 2*a**2. Let f(b) = -2*m(b) - 6*v(b). What is the remainder when f(-6) is divided by 10?
8
Let r be 1304/(-32) + (-6)/(-8). Let k(o) = -3*o - 1. Calculate the remainder when k(-2) is divided by (-4)/6 + r/(-15).
1
Let j = 105 - 53. Calculate the remainder