t z(m) = -m**2 - 2*m. Let b be z(-2). Suppose b = -t + 3*t - 2*x - 64, -3*t + 4*x = -99. What is the remainder when t is divided by (-43)/(-3) + (-2)/(-3)?
14
Let f(a) = -a**3 + 8*a**2 - 10. Let o(h) = -3*h + 5. What is the remainder when f(5) is divided by o(-4)?
14
Suppose -3*b + 3*x - 24 = 0, -52 = 5*b - x - 0*x. Let p(w) = -w + 9. What is the remainder when p(b) is divided by 7?
6
Suppose 41 - 13 = b. Calculate the remainder when b is divided by 8.
4
Let a(p) = p + 15. Calculate the remainder when a(6) is divided by 6.
3
Let m(n) = n**2 - 4*n - 22. What is the remainder when m(-7) is divided by 21?
13
Let u be 0 + 0 - (-10 + 5). Suppose 4 = u*x - 91. Calculate the remainder when x is divided by 7.
5
Let m(i) = 2*i**2 - 6*i + 8. Calculate the remainder when m(6) is divided by ((192/20)/(-4))/(3/(-15)).
8
Calculate the remainder when -1 + (-4)/(-2) + 9 is divided by 3.
1
Suppose -4*l + 5*p = -34, l - 2*p = -5*p. Suppose s = 3*h - 14, 6*s + 3*h - 17 = 4*s. Calculate the remainder when l is divided by (-3)/s + 0 + 7.
2
Let n = 61 - -26. Calculate the remainder when n is divided by 30.
27
Let h(n) = n**2 - n. Suppose 4*a - 15 = -a. Suppose 4 = -p + a*p. What is the remainder when p is divided by h(2)?
0
Let b = 53 - 7. Calculate the remainder when b is divided by 8.
6
Let d = -5 - -5. Suppose -2*j - 2*j + 5*r + 94 = d, -5*r = -10. Suppose 0 = 2*y - j - 20. Calculate the remainder when y is divided by 8.
7
Let j = 23 - 15. What is the remainder when 18 is divided by j?
2
Let y(p) = 2*p - 13. Let s be y(9). Suppose 5 = s*i, -6*d + 2*d + 14 = -2*i. Calculate the remainder when 5 is divided by d.
1
Let a(p) = p**3 + p**2 - 5. Let d(n) = n - 1. Let v be d(1). Let l be a(v). Calculate the remainder when (-23)/(-2) + l/(-10) is divided by 7.
5
Let i be ((-3)/(-6) - -1)*2. What is the remainder when 38 is divided by 10 - (-3 + 0/i)?
12
Let s be (-2)/(-3) - 473/(-33). What is the remainder when (57/9)/(5/s) is divided by 12?
7
Let r be (27/(-15))/(4/(-60)). Suppose 3*z = t + r, -t = -z + 3*t + 9. What is the remainder when z is divided by 5/3*(1 - -2)?
4
Let t = -5 + 18. Let x(k) = 5*k**2 + 3*k - 4. What is the remainder when x(3) is divided by t?
11
Let t(g) = g**2 - 17*g + 6. Calculate the remainder when 69 is divided by t(18).
21
Suppose 5*s + 3*k - 20 = 0, -5*s + 4*k + 7 = 22. What is the remainder when 23 is divided by 2 - s/(-1)*4?
5
Let d = 0 + 5. Suppose -5*c + 2*j = -54, 4*c + j + j = 54. Calculate the remainder when c is divided by d.
2
Suppose -2*l + 50 = 16. Calculate the remainder when 65 is divided by l.
14
Suppose 0*j - 9*j = 63. Let w(u) = -4 + 4 - 3*u. Calculate the remainder when w(j) is divided by 11.
10
Let h(c) = c**3 - 7*c**2 + 4*c - 1. Let o be h(8). Let y = o - 51. Suppose -s - y = -5*s. Calculate the remainder when 21 is divided by s.
10
Let r = 83 + -58. Suppose 6*a - a + r = 0. Calculate the remainder when 14 is divided by 15 + a - (-1 + 3).
6
Let c(n) = n**2 - 2*n - 4. Let y be c(-3). Suppose -r + 22 = 3*d - 11, -d + 4*r + y = 0. What is the remainder when d is divided by 6?
5
Let f be (-22)/(-4) + 1/(-2). Suppose d + f = 34. Calculate the remainder when d is divided by 16.
13
Let x = -5 - -7. Let w = x + -5. Let u(j) = -3*j - 4. What is the remainder when 8 is divided by u(w)?
3
Let p = -38 + 91. Suppose 3*s + 4*f + 13 = p, -2*s + 26 = 2*f. What is the remainder when 35 is divided by s?
11
What is the remainder when 9/((-135)/12) - (-559)/5 is divided by 6?
3
Let v be -2 - ((-11)/1 - 3). Let c(m) = -m**3 + 12*m**2 + m - 4. Calculate the remainder when c(v) is divided by 3.
2
Suppose 0 = -3*u + 6*u - 6. Suppose -u*y + 120 = -210. Suppose 5*r = -5*s + y, -s - 44 = -r - 3. What is the remainder when r is divided by 13?
11
Let n = 56 + -16. What is the remainder when n is divided by 14?
12
Suppose 0 = -2*j + 5*j - 108. Suppose j = 2*n + n. Let m = 7 + n. Calculate the remainder when m is divided by 7.
5
Suppose 4*m - 6 = -m + 3*y, -4*y + 24 = 4*m. Suppose -m = -o + 3. What is the remainder when 11 is divided by o?
5
Let n(h) = -h**3 - 5*h**2 + 4. Let t be n(-5). Suppose k + 2*k = 5*y - 65, t*k = -3*y + 39. Calculate the remainder when 24 is divided by y.
11
Let m = 17 - 7. Calculate the remainder when m*((-24)/15)/(-1) is divided by 9.
7
Calculate the remainder when 18 + 3 - (2 - 0) is divided by (-2 - 12)*(-4)/8.
5
Suppose -14*b = -155 - 195. Suppose -3*g = -0*g - 297. Calculate the remainder when g is divided by b.
24
Let r(q) = -13*q - 16. Calculate the remainder when r(-6) is divided by 9.
8
Let d be 1 - (-3 - -1) - -66. Suppose 3*c + d = -462. Calculate the remainder when -3 + c/6*-2 is divided by 19.
18
Let s(v) be the second derivative of v**3/6 + 37*v**2/2 - 3*v. Calculate the remainder when s(0) is divided by 10.
7
Let a(d) = -d**3 + 14*d**2 + 4*d - 33. Calculate the remainder when 137 is divided by a(14).
22
Suppose 0 = -2*r - 5*z + 128 + 7, -62 = -r + 3*z. Suppose -6*m = -m - r. What is the remainder when m is divided by 7?
6
Suppose 0 = -9*a + 163 + 89. Calculate the remainder when a is divided by 10.
8
Suppose f = -5 - 1. Let j(q) = -q**2 - 6*q + 6. Calculate the remainder when j(f) is divided by 3.
0
Suppose 2*k + 2*k + 8 = 0. Calculate the remainder when 2/(-7) - 191/(-7) is divided by 4*(0 - -4) + k.
13
Let b be (9/(-6))/(2/(-4)). Suppose 0*s + 2*s = b*v - 62, 2*s + 86 = 4*v. Suppose -2*k + 19 = 1. Calculate the remainder when v is divided by k.
6
Let r be 4/1 + 1 + -2. Suppose -r*h = 2*h - 85. What is the remainder when 49 is divided by h?
15
Suppose 0 = 6*m - 23 - 1. Calculate the remainder when 20 is divided by m.
0
Calculate the remainder when 30 is divided by (-12)/(-54) - (-142)/9.
14
Let r(w) = 2*w**2 - 6*w - 5. Let c be r(5). What is the remainder when 21 is divided by (-2)/(-6) - (-115)/c?
5
Let o(b) = b**2 + b + 1. Let j be o(-1). Suppose 0 = 5*h, c + 2*h - 1 - j = 0. Suppose -c*i - i + 33 = 0. Calculate the remainder when i is divided by 6.
5
Suppose h - 4 = -0*h. Let o(z) = z**3 - 2*z**2 - 3*z - 2. Calculate the remainder when o(h) is divided by 7.
4
Suppose -2*v + 2 = z - 6, -6 = -z - v. Suppose 14 = 4*x + 6. Calculate the remainder when z is divided by x.
0
Suppose -z - 2*z = -6. Suppose z = p - 16. What is the remainder when p is divided by 5?
3
Suppose 2 + 0 = z. Suppose -4*o - 36 = -y, 0*y = 4*y + z*o - 90. What is the remainder when y is divided by 13?
11
Let t = -29 - -64. What is the remainder when 100 is divided by t?
30
Suppose 5*k - 14 = 4*k - 2*y, 0 = -y + 4. Suppose 0 = u - k - 7. Suppose -4*w + 5 + 23 = 0. Calculate the remainder when u is divided by w.
6
Let s = -4 - 7. What is the remainder when 33 is divided by -3 - (-4 + s) - 0?
9
Suppose 2*t + 4*b = -34, -4*b = -3 + 19. Let x = 34 + t. Calculate the remainder when x is divided by 9.
7
Let c = -5 - -10. Suppose 2*l = -l + 12, -c*l = -3*h + 34. What is the remainder when 35 is divided by h?
17
Suppose 0 = 11*k - 29*k + 450. Calculate the remainder when 146 is divided by k.
21
Calculate the remainder when (-1052)/(-22) - 2/(-11) is divided by 23*1 - (4 - 6).
23
Let k = 12 - 9. Suppose -22 = -k*x + 59. What is the remainder when x is divided by 15?
12
Let s = -3 - -2. Let r = 15 + s. Calculate the remainder when 26 is divided by r.
12
Suppose -4*u + 0*u = 2*x - 146, -6 = 2*x. Suppose m = 2*m - 4, -3*f = -5*m - 19. What is the remainder when u is divided by f?
12
Suppose -2*t - 12 = -4*m, 3*t + 10 = m + 3*m. Suppose 2*s - 132 = -t*y, 64 = y + 4*s + 10. Calculate the remainder when y is divided by 36.
34
Suppose 3*q = -s + 34 + 5, 56 = 2*s - 5*q. Calculate the remainder when s is divided by 18.
15
Suppose 4*v = 195 - 63. Calculate the remainder when v is divided by 17.
16
Let h = 26 + -12. Calculate the remainder when 95 is divided by h.
11
Suppose 6*a + 108 = 216. Let p(b) = 19*b - 7. Let d be p(5). Calculate the remainder when a is divided by d/9 + 4/18.
8
Let j = 35 + -24. Let r be (12/10)/((-2)/5). Let x(k) = k**3 + 3*k**2 - k + 1. Calculate the remainder when j is divided by x(r).
3
Let f(p) = p + 1. Let r be f(5). Suppose -5*w + 75 = 4*u, w - u - 9 = r. Calculate the remainder when 27 is divided by w.
12
Let m(w) be the third derivative of w**4/8 - 2*w**3/3 - 2*w**2. Calculate the remainder when 8 is divided by m(3).
3
Let i be