b(u) = -u**3 + 6*u**2 - 7*u + 1. Calculate the remainder when 7 is divided by b(4).
2
Suppose -22 - 21 = -2*k - 5*r, 0 = -k - 3*r + 23. Let d(s) = -19*s + 1. Let p be d(1). What is the remainder when (-6)/27 - 472/p is divided by k?
12
Let d = -51 + 58. What is the remainder when 33 is divided by d?
5
Let a(h) = 19*h**2 + h. Let k(t) = -24*t**3 + 2*t**2 - t - 2. Calculate the remainder when a(-2) is divided by k(-1).
24
Let a(x) = x**2 + 8*x - 11. Let l be a(-9). What is the remainder when (-4)/l + (1 - -21) is divided by 9?
6
Let q = -6 - -6. Suppose q*n + 2*n - 32 = 0. Let b(y) = 2*y**2 - 3*y - 4. Calculate the remainder when b(-5) is divided by n.
13
Let t(w) = 3*w + 2. Let f be t(-3). Calculate the remainder when (3/f)/((-7)/49) is divided by 3.
0
Let l = -10 - 3. What is the remainder when (l/(-3))/(10/180) is divided by 40?
38
Suppose 3*y - 11 = -2. Suppose 17 + 13 = -y*m. Calculate the remainder when m*2/(-1) - 2 is divided by 10.
8
Let t(n) = -3*n**2 + 2*n**2 - 3*n + 0*n**2 + 2*n**2 + 4. What is the remainder when t(5) is divided by 5?
4
Let l be (1 + 0 + 9)*1. Suppose 2 = 4*j - l. Suppose 5*k - 5*p + 6 = 36, -14 = -k + j*p. What is the remainder when 5 is divided by k?
1
Let u(x) = -x**2 - 9*x + 5. Let i be u(-9). Suppose 1 = p - i*k + 3*k, p + 2*k = 1. What is the remainder when p is divided by 1?
0
What is the remainder when (24/10)/(52/10 - 5) is divided by 4?
0
Let p = -12 + 6. Calculate the remainder when 29 is divided by p/(-33) - (-348)/22.
13
Let s = 50 + -31. What is the remainder when s is divided by 11?
8
What is the remainder when 55 is divided by (-43)/(-3) + (-6)/18?
13
Suppose 5*r - 2*r + 6 = 0. Suppose -182 - 118 = -15*i. Calculate the remainder when i is divided by (r/(-3))/(2/33).
9
Let z be 10/15 - (-4)/(-6). Suppose z = 3*o + 1 - 10. What is the remainder when 6 is divided by o?
0
Let d(i) = i - 4. Let b be d(7). Suppose -2*x + 20 = g, 20 = -0*x + b*x - g. Let r(j) = -j**2 + 9*j + 6. Calculate the remainder when 40 is divided by r(x).
12
Suppose 2*k - 2 = k. Suppose 5*o - 44 = -r, -4*r = -k*o + r - 4. What is the remainder when (-792)/(-32) + -10 - (-2)/8 is divided by o?
7
Let i(k) = -k - 6. Let q(x) = x**3 - 7*x**2 + 7*x - 6. Let h be q(6). Suppose h*w - 4*w = 36. Calculate the remainder when 7 is divided by i(w).
1
Suppose -82 = -3*w - 5*u, -3*w + 20 + 46 = -3*u. Calculate the remainder when 40 is divided by w.
16
Suppose -8 = 4*h + o - 63, 5*o = -5*h + 80. Calculate the remainder when 88 is divided by h.
10
Let d = 19 + 9. Suppose -4*b + 0*b + 5*w = -37, -d = -b - 5*w. Calculate the remainder when b is divided by 7.
6
Suppose -v = d - 4*v + 1, 0 = 4*d + 3*v - 11. Suppose l = -4*f + 12 - 175, 0 = 4*f - d*l + 154. Let j = -15 - f. Calculate the remainder when j is divided by 9.
7
Suppose -3 - 17 = -4*c. What is the remainder when 23 is divided by c?
3
Let c = 63 + -27. Let t = c - 7. Suppose -4*b + 26 = -38. What is the remainder when t is divided by b?
13
What is the remainder when 51 is divided by (32 + -14)*3/2?
24
What is the remainder when ((-6)/9)/((-16)/1416) is divided by 16?
11
Let i = 18 + -13. Suppose -87 = -i*y - 2. Suppose -20 = -5*m + m. What is the remainder when y is divided by m?
2
Suppose -7*v = -8*v + 43. What is the remainder when v is divided by 9?
7
Let i(s) = -s**3 - 18*s**2 - 20*s - 20. Calculate the remainder when i(-17) is divided by 11.
9
Let u = -50 - -73. Let i = 0 + u. Calculate the remainder when i/((1 - 2)*-1) is divided by 8.
7
Let v = 22 + 11. What is the remainder when v is divided by 8?
1
Let b(y) = -6*y + 2*y**2 + y**3 + 0*y**2 + 2*y**2. Suppose 0*h + 5*h - 5*g + 45 = 0, -3*h - 2*g = 7. Calculate the remainder when b(h) is divided by 2.
1
Suppose 0 = 5*b - 99 - 36. Calculate the remainder when 105 is divided by b.
24
Let u(i) = i**3 - 2*i**2 + 1. What is the remainder when 3 is divided by u(2)?
0
Suppose 7*r - 24 = 4*r. Suppose 3*o + 2*p + 88 = 8*o, 2*o = -2*p + 38. Suppose 87 = 4*v + h, -2*v = -v + 4*h - o. What is the remainder when v is divided by r?
6
Let f(l) = 2*l - 3. Let d be f(3). Suppose -d*x = -4*x + 22. What is the remainder when x is divided by 12?
10
Suppose 4*l - 48 = -6*r + 2*r, r - l - 10 = 0. Let m = -43 + 84. What is the remainder when m is divided by r?
8
Let w(y) = -1 + 5*y - y + 4*y - y**2 + y. Calculate the remainder when 78/4 + (-2)/(-4) is divided by w(8).
6
Let j be (5/2 + -3)*-2. Let w be j + 0 + 14*1. Suppose 0 = -k - w + 53. What is the remainder when k is divided by 13?
12
Suppose 0 = -2*x - x + 150. Suppose 4*o + 4*f - x = -18, 2*o + 4*f = 16. Suppose d = 3*d - 28. What is the remainder when d is divided by o?
6
What is the remainder when (-4)/(-10) + 66/10 is divided by 2/(-12) - 57/(-18)?
1
Let j = -10 - -17. Let t = 21 + -9. Let u = -8 + t. Calculate the remainder when j is divided by u.
3
Let y(w) = -2*w - 5. Calculate the remainder when 11 is divided by y(-4).
2
What is the remainder when 53 is divided by -3*(-5)/15*15?
8
Let l = -33 - -19. What is the remainder when 35 is divided by (2/(-6))/(l/798)?
16
Let n(v) = -v**2 - 3*v - 3 - 2 + 2*v**2 + 2. What is the remainder when 2 is divided by n(4)?
0
Suppose -39 = -3*p + 3*m, p = 2*p + 2*m - 1. Let t = -6 + p. Calculate the remainder when t is divided by 2.
1
Calculate the remainder when (36/5)/((-34)/(-255)) is divided by 20.
14
Suppose 0*u = 5*u + 70. Let h = u - -23. Calculate the remainder when h is divided by 6.
3
Let r(p) = p**2 + 2*p. Let d be r(2). Let l = d + 14. Suppose -3*n = n - x - 259, -2*n + 137 = -3*x. Calculate the remainder when n is divided by l.
20
Let l = 10 - 8. Calculate the remainder when (-5 - 1)/(-2) + 1 is divided by 4 - (7 + -3)/l.
0
Suppose -19 = 5*o - 5*s - 259, 68 = 2*o + 5*s. Calculate the remainder when o is divided by 3.
2
Suppose -c + 14 = 3*g, -8 = -3*g + 2*c - 0. Let k = 5 + 10. What is the remainder when k is divided by g?
3
Let z = -2 - -2. Let w be -1*(0 + z - 55). Suppose 6*t = t + w. Calculate the remainder when 20 is divided by t.
9
Let a = -81 + 113. What is the remainder when 95 is divided by a?
31
Let f be (0/1)/(4 - 3). Suppose 0 = -f*l + 2*l - 4. Let x = 13 - l. Calculate the remainder when x is divided by 6.
5
Let v(h) = h**3 + 6*h**2 - 7*h + 9. Calculate the remainder when 16 is divided by v(-7).
7
Suppose 4*o - 1 = -21, -2*v = -3*o - 17. What is the remainder when 1 is divided by v?
0
Suppose -c + 3 = -1. Let u(n) = -n**3 - 8*n**2 - 9*n - 3. Calculate the remainder when u(-7) is divided by c.
3
Let k be ((-215)/(-5))/(-1 + 2). Let p = k + -14. Suppose s + 4*q = 2, 4*s + 3*q = 17 + 17. What is the remainder when p is divided by s?
9
Let c(h) = -3*h - 3*h + 5*h. Calculate the remainder when 3 is divided by c(-2).
1
Suppose 0 = 3*b + 5*k - 2, 13 = -b - 5*k - 3. Let u be b/(2/(-3) - -1). Let a = -2 + u. What is the remainder when a is divided by 13?
12
Suppose -2*a + 37 = f, -4*f + 4*a = -88 - 24. Suppose s = -0*s + 11. Calculate the remainder when f is divided by s.
9
Suppose -2*j - 41 = -3*o, 17 = -4*o - 3. What is the remainder when 20 is divided by 8/j - 79/(-7)?
9
Let n(l) = 41*l + 1. Let a = -39 + 43. Suppose 7*z = a*z + 66. What is the remainder when n(1) is divided by z?
20
Let o = 348 - 230. Calculate the remainder when o is divided by 20.
18
Suppose 0 = -4*x + 332 - 136. Let y = 28 - 15. Calculate the remainder when x is divided by y.
10
Let z be -2 + -3 + (-1 - -6). What is the remainder when 29 is divided by (-1 - -5)*(z + 2)?
5
Let b(i) = 3*i**2 + 2. Let l = 5 + -3. Calculate the remainder when b(l) is divided by 8.
6
Suppose 3*y = -13*g + 11*g + 17, 3*y = 2*g + 13. Suppose 2*a - 2*k = 44, -3*a = 3*k - 38 - 40. What is the remainder when a is divided by y?
4
Let n = 141 + -257. Let b = 166 + n. Calculate the remainder when b is divided by 13.
11
Let s = -26 + 37. What is the remainder when 53 is divided by s?
9
Suppose -6*a = -3*a - 57. What is the remainder when a is divided by 11?
8
Suppose 4*y - 55 = d, 0 = y - 6*y - 4*d + 74. Calculate the remainder when y is divided by (260/78)/(2/3).
4
Let y(r) = r - 9. What is the remainder when 123 is divided by y(18)?
6
Suppose 16*d = 11*d + 165. What is the remainder when 128 is divided by d?
29
Suppose 3*w - 151 = 56. Let g = -22 - -40. Calculate the remainder when w is divided by g.
1