ainder when (-2)/(i + 2)*-52 is divided by b(1).
8
Suppose -3*x - 30 = -8*x. Let y(i) = i**2 - 13*i + 41. What is the remainder when y(10) is divided by x?
5
Suppose 4*n = 4*b, 3*b + 3 = 4*n + 1. What is the remainder when ((-18)/24)/((-2)/16) is divided by b?
0
Suppose 9*h - 12*h + 9 = 0. What is the remainder when 4 is divided by h?
1
Let a(b) be the third derivative of b**5/60 + 7*b**4/24 - b**3 + b**2. Let r be a(-6). Calculate the remainder when (-63)/r + 1/(-4) is divided by 2.
1
Let i(k) = -k**3 - k**2 + k + 1. Let h be i(-1). Suppose 2*t - 3 - 27 = h. Let u(b) = 2*b**3 + 2*b**2 - 5*b. What is the remainder when u(3) is divided by t?
12
Let d(i) = 0*i**2 - 4 + 4*i**2 + 4*i**3 + 0*i**3 - 2*i - 3*i**3. Calculate the remainder when 5 is divided by d(-4).
1
Let s(m) = m**3 + 8*m**2 + 11*m - 7. Calculate the remainder when 51 is divided by s(-5).
12
What is the remainder when 15 - 5/(10/(-8)) is divided by 5?
4
Let w(f) = 136*f**2 + 119*f + 119. Let b(r) = r**2 + r + 1. Let a(m) = -238*b(m) + 2*w(m). Calculate the remainder when a(1) is divided by 18.
16
Let q = 4 - 0. Suppose 16 = -q*g, 0 = -3*x + 4*g + 49 + 57. Calculate the remainder when x is divided by 8.
6
Let b(f) = -f**3 + 5*f**2 + 4*f. Let c be b(6). Calculate the remainder when 6*(c/(-9) - 1) is divided by 6/4*4/6.
0
Suppose 5*o = 5*i - 105, -59 = -3*i - 4*o + 18. What is the remainder when i is divided by 12?
11
Let p = 5 + -3. Let b be p/2*4 - 3. Calculate the remainder when 9 is divided by 4*-2*b/(-2).
1
Let i = 65 - 34. What is the remainder when i is divided by 8?
7
Let m = 54 + -26. Calculate the remainder when 99 is divided by m.
15
Suppose -30*z = -28*z - 162. What is the remainder when z is divided by 41?
40
Let l(x) be the first derivative of 3/4*x**4 + 0*x**2 - x - 1 - 2/3*x**3. Calculate the remainder when l(2) is divided by 8.
7
Suppose 0*b - 5*c = 5*b - 10, -5*b = c - 26. Suppose 5*u - 10 - 5 = 0. What is the remainder when b is divided by u?
0
Let a(l) = 2*l + 46. Calculate the remainder when a(10) is divided by 14.
10
Let t = -24 - -40. Suppose -3*v + 14 = 2*p - 58, -5*v = -4*p + 100. What is the remainder when p is divided by t?
14
Let o(b) = b**3 + 5*b**2 + b + 7. Let g be o(-5). Suppose r - g*t = 12, 5*r + 3*t + 19 - 79 = 0. What is the remainder when r is divided by 7?
5
Let h(y) = -y**2 - y + 34. Suppose 0 = s - 17 - 1. What is the remainder when h(0) is divided by s?
16
Suppose 5*b - 3*f + 11 = 0, 0 = 2*b - 4*b + f - 5. Let i be 2 - 3/(3/(-4)). What is the remainder when 37 is divided by (b/i)/((-2)/57)?
18
Suppose s + 15 = -5*q + 2*q, 0 = 3*s + 9. What is the remainder when q/(-10) + 318/5 is divided by 22?
20
Suppose 6*w - 8*w = -10. What is the remainder when 13 is divided by w?
3
Suppose -5*r + 4 = -41. Let y(u) = -7*u + 1. Let h be y(-1). Let m = 33 - h. What is the remainder when m is divided by r?
7
Let f = 7 + 4. Let i be (-46)/(-4) - (-2)/4. Suppose 96 - i = 4*c. Calculate the remainder when c is divided by f.
10
Let j be ((-2)/4)/(2/(-12)). Calculate the remainder when (3/j)/((-3)/(-102)) is divided by 18.
16
Let x = 12 - 7. Suppose -r - x*b = -41, 0*r + 5*r + 5*b = 165. What is the remainder when r is divided by 8?
7
Suppose 0 = 3*o + 3*o - 72. What is the remainder when 69 is divided by o?
9
Let a(y) = -3*y - 19. Calculate the remainder when 16 is divided by a(-9).
0
What is the remainder when 2*2 + (43 - -9) is divided by (-2)/(-8) - 75/(-4)?
18
Let m(u) = 2*u**2 - 5*u + 1. What is the remainder when m(5) is divided by 11?
4
Let t be (-1 + 2)*(-6)/2. Let y(r) = -15*r - 1. Suppose 0*z = -3*z - 2*w + 35, -2*z + 5*w + 55 = 0. What is the remainder when y(t) is divided by z?
14
Let i = 5 - 0. What is the remainder when 92/2 - (i + -5) is divided by 16?
14
Suppose 5*p + 2*b = -60, p = -3*p - 4*b - 36. Let i(w) = -w**2 - 10*w + 2. Calculate the remainder when i(-5) is divided by p/((-2 + -1)/3).
13
Let c = 18 + 8. Let q(f) = 2*f**2 + 4*f + 1. Calculate the remainder when c is divided by q(-3).
5
Suppose 0 = 3*w - 31 - 11. Calculate the remainder when 38 is divided by w.
10
Suppose 7*s - 8*s = -24. Calculate the remainder when 42 is divided by s.
18
Let g(y) = y**3 + 3*y**2 + 2*y + 2. Let v be g(-2). Let l(r) = -4 + 3*r + 0*r + r**v - 2*r. What is the remainder when 15 is divided by l(3)?
7
Let j = -40 + 111. What is the remainder when j is divided by 18?
17
Let r = -18 - -20. Let z = 3 + -1. Calculate the remainder when r is divided by z.
0
Let p(g) = 3*g - 16. Calculate the remainder when 114 is divided by p(13).
22
Suppose l - 7 = 14. Let g = -21 + 33. Calculate the remainder when l is divided by g.
9
Suppose -5*k = -3*k - 24. Suppose -2*p + 4*p + 5*i + 5 = 0, -i - 25 = -2*p. Let z = 17 - p. What is the remainder when k is divided by z?
5
Let h be (-9)/((-4)/(12 - 0)). Let n = -16 + h. What is the remainder when n is divided by 4?
3
Suppose 3*k - 2 - 1 = 0. Suppose 2*a + 4 = 3*n + 9, -4*n = -4*a + 12. Calculate the remainder when k is divided by n.
0
Let t be 4*(1 - (-2)/(-8)). Suppose -t*x = -24 - 36. Calculate the remainder when x is divided by 11.
9
Let f = -4 - -8. Suppose -f*p = -p - 6. Suppose 6 = -p*g + 5*g. What is the remainder when g is divided by 1?
0
Suppose f - d - 11 = -3*f, 0 = d - 5. What is the remainder when 14/((f/6)/1) is divided by 11?
10
Suppose -2*m = m - 51. Suppose -3*q = m + 31. Let v = q - -39. What is the remainder when v is divided by 12?
11
Let t be (2/6)/(2/30). Suppose 0 = -2*i + 3*i - t. Calculate the remainder when 7 is divided by i.
2
Let n = 18 + 31. What is the remainder when n is divided by 13?
10
Let r(v) = -v - 3. Suppose -l = 2, -3*t = l - 9 - 76. What is the remainder when t is divided by r(-13)?
9
Calculate the remainder when 5/(-2)*(-36)/9 is divided by 4.
2
Let s = 2 - 0. Suppose -a = -5*a - z + 91, 5*a = -2*z + 110. Suppose -2*m - l + 12 = -s*l, -4*m = 5*l - a. What is the remainder when 10 is divided by m?
4
Let n(y) = -6*y + 2. Calculate the remainder when n(-12) is divided by 11.
8
Let y(h) = -2*h - 10. Let j be y(-7). Let d = j + -2. Let r = 1 + d. Calculate the remainder when 4 is divided by r.
1
Suppose 24 = 24*u - 22*u. Calculate the remainder when 22 is divided by u.
10
Suppose 2*b - b + 2*c = 12, -3 = -4*b + c. Suppose 0 = -b*a + 3 + 23. What is the remainder when a is divided by 4?
1
Suppose -156 = -27*y + 15*y. Calculate the remainder when 56 is divided by y.
4
Let z be (2/(-3))/(2/(-9)). Suppose 0*c + 2*s + 14 = z*c, -2*c - 2*s = -16. What is the remainder when 22 is divided by c?
4
Suppose 0 = -4*d - 20, -4*q + 25 + 6 = -3*d. Let j(s) = s**2 + s - 1. Let c be j(-3). Suppose -q*x - c = -177. What is the remainder when x is divided by 11?
10
Let l(s) = 0 - s - 1 - 2. Let w be l(-3). Suppose 3*z = 5*y + 58, w*z - 68 = -3*z - 5*y. Calculate the remainder when z is divided by 11.
10
What is the remainder when (-6)/27 + (-1660)/(-18) - 2 is divided by 31?
28
Suppose 0 = -5*p + 4*x + 40, -3*p - 4 = 3*x - 1. Let o = 2 + -6. Calculate the remainder when 17 is divided by (3/o)/(p/(-48)).
8
Suppose -2*w + 5*m - 23 = 0, 4*m + 0*m - 19 = w. Suppose -17 - w = -2*x. Calculate the remainder when 15 is divided by 74/x + (-6)/27.
7
What is the remainder when 2 is divided by (-1 - 0)/(-2*(-3)/(-6))?
0
Suppose -2*g - 18 = 4*w, -2*w = -w - 5. Let o be (-20)/1*(-1)/(-2). Let m = o - g. What is the remainder when m is divided by 5?
4
Let j(m) = m**3 - m**2 - 3. What is the remainder when 3*2/4*(-986)/(-51) is divided by j(3)?
14
Suppose 0*d = -2*d - 6. Calculate the remainder when -28*(-20)/(-8)*-1 is divided by (-6)/d - (-21 + -1).
22
Let b = -52 - -77. What is the remainder when b is divided by 7?
4
Let d(j) = j**2 + 2*j + 5. Suppose -5*t = -2*g + 25, 0 = -5*t - g - 29 + 4. Calculate the remainder when d(t) is divided by 11.
9
Suppose 13*c - 4*c - 171 = 0. What is the remainder when c is divided by 2?
1
What is the remainder when 148/((-1 - 1) + 4) is divided by 38?
36
Suppose -4*t = 21 + 19. What is the remainder when t/45 - 551/(-9) is divided by 21?
19
Let n(a) be the first derivative of -a**3/3 - a**2/2 + 6*a - 3. Suppose 4*w + 16 = 5*w. Calculate the remainder when w is divided by n(0).
4
Let u(f) = -16*f + 2. Let c be u(-8). Suppose -2*j = 3*j - c. What is the remainder when j is divided by 7?
5
Let y(m