 - 92 = 5*f - 12. What is the remainder when s is divided by 8?
6
Let b(u) = 10*u**3 - 3*u**2 - u + 2. Let f be b(2). Let r = 102 - f. Calculate the remainder when r is divided by 9.
7
Suppose -65 = 5*m - 3*o - 345, 3*o = 0. Suppose -2*x = -0*x - m. Calculate the remainder when 110 is divided by x.
26
Let g(b) = b**2 - 5*b + 10. Calculate the remainder when g(3) is divided by 1.
0
Suppose -a = -r + 33, 10*a + 15 = 5*a. Calculate the remainder when 119 is divided by r.
29
Suppose 2*b - 40 = -3*b. Suppose 4*m - 6 = 6. Suppose 30 = -m*o + 5*o. Calculate the remainder when o is divided by b.
7
Suppose 2*d - 276 = -2*d. Let g(h) = -h**3 - 6*h**2 + 7*h + 5. Let o be g(-7). Suppose o*f - f - 72 = 0. Calculate the remainder when d is divided by f.
15
Let g(b) = -3*b**3 + b**2 + 2*b + 1. Let p be g(-1). Suppose p*i - 7*t - 62 = -2*t, -5*i = 4*t - 91. What is the remainder when i is divided by 11?
8
Let v = 1 - -5. Suppose -f + 0*f = 3*u, 4*u - 5 = -3*f. What is the remainder when v is divided by f?
0
Suppose 2*b = 170 - 46. Calculate the remainder when b is divided by 16.
14
Let c be -1*3/((-3)/(-4)). Suppose 2 = -o - 6. Let h = c - o. What is the remainder when h is divided by 2?
0
Let l be -3 + 6/(3 - 1). Let x = l - -5. Suppose -2*d + 8 = 4*z - 0*d, 6 = 3*z + 5*d. What is the remainder when x is divided by z?
1
Suppose 9*w - 246 = -21. Let m = 72 + 0. Calculate the remainder when m is divided by w.
22
Suppose -j = 2 - 9. Suppose -5*y = -5 - 60. Let w = 6 + y. What is the remainder when w is divided by j?
5
Suppose -7*b + 13*b - 72 = 0. Calculate the remainder when b is divided by (-40)/(-6) + (-3)/(-9).
5
Let v(w) = 11*w**2 - 11*w - 7. Let c(a) = 5*a**2 - 5*a - 4. Let p(g) = 9*c(g) - 4*v(g). Suppose 1 = 4*k - 47. What is the remainder when p(6) is divided by k?
10
Let z(s) = -156*s + 1. Let c be z(-1). Let u = c + -81. Let l = u + -45. What is the remainder when l is divided by 16?
15
Suppose -u + 2*v = -26, -2*u + 3*u - 2 = -4*v. What is the remainder when 34 is divided by u?
16
Let c = -69 + 102. Calculate the remainder when c is divided by 17.
16
Suppose 13*j = 7*j + 1428. What is the remainder when j is divided by 40?
38
Let z(b) = -22*b**3 - 2*b**2 + 3*b + 4. What is the remainder when 60 is divided by z(-1)?
18
Suppose 8*o = 10*o - 10. Calculate the remainder when 12*(8/6)/2 is divided by o.
3
Suppose 3*b + 7 = 40. Suppose 2*k - 1 - 1 = -2*d, b = 5*d - k. Suppose 0 = -4*u + f + 139, 6*u + 5*f - 121 = d*u. What is the remainder when u is divided by 12?
10
Let r(a) = -a**3 + 5*a**2 - 2. Let b be r(5). What is the remainder when (-2)/(-4) + (-113)/b is divided by 15?
12
Let h(q) be the second derivative of 1/2*q**2 + 0 - 1/6*q**3 + 1/3*q**4 + 1/20*q**5 - 2*q. What is the remainder when 38 is divided by h(-3)?
12
Suppose 2*q + 12 = -0*q. Let y = q - -14. Suppose i + 38 = 3*w, -i + 76 = 4*w + 4*i. What is the remainder when w is divided by y?
6
Let d(u) = -4*u**3 - u + 3. Calculate the remainder when 220 is divided by d(-2).
35
Suppose -4*r = -2*k - 30, -4*r + k = 3 - 36. What is the remainder when 14 is divided by r?
5
Suppose -2*h + 3*h = 28. Suppose 5*b = 12 + h. Suppose -1 = d - 2*r, -3*r + b = 2*d - 5*r. Calculate the remainder when 17 is divided by d.
8
Suppose 0*b = 5*u + 4*b - 30, 4*u - 3*b = 55. Suppose -6*a + a = -u. What is the remainder when 3 is divided by a?
1
Suppose 0 = 5*q - 0*q - 40. What is the remainder when q is divided by (-5 + -2)/7 + -1 + 7?
3
Suppose -7 = -3*y + 2. Suppose -3*u + 0*u = -y*v - 6, u - 22 = -3*v. Calculate the remainder when 13 is divided by u.
6
Let c(z) = 2*z**2 + z - 1. Suppose 4*g + 36 = -3*y, -5*y + 68 = g - 5*g. What is the remainder when g*1*4/(-6) is divided by c(-2)?
3
Let c be (2/3)/((-2)/(-12)). Suppose 0 = -3*x - x - 3*b + 21, -x + 15 = c*b. Let n = 8 - x. Calculate the remainder when 8 is divided by n.
3
Let t(u) = 3*u**3 + u**2 + u - 1. Calculate the remainder when (4 + -2)/(10/35) is divided by t(1).
3
Let c = -2 - -8. Suppose -19 - 23 = -3*s. Let p = s + -10. What is the remainder when c is divided by p?
2
What is the remainder when 31 is divided by (-4 - -38)*(-4)/(-8)?
14
Suppose 5*m + 0*m - 365 = 0. Suppose -3*a + 40 = 2*y, 4*y + a - m = -13. What is the remainder when 41 is divided by y?
13
Let i(o) = o + 6. Let n be i(-3). Let w(q) = -q. Let x(g) = -5*g. Let r(u) = -6*w(u) + x(u). What is the remainder when 8 is divided by r(n)?
2
What is the remainder when 51 is divided by 4 + 10/(-5) - -25?
24
Suppose 0 = 5*r + 6*c - 2*c - 15, 5*r = -c. Calculate the remainder when 13 is divided by 90/12 - r/(-2).
6
Suppose 7*d - 36 = 139. What is the remainder when d is divided by 8?
1
Let m = 26 - 20. Suppose 0 = -8*p + 5*p + 51. What is the remainder when p is divided by m?
5
Suppose -82 - 106 = -2*g + 4*z, g = -5*z + 115. What is the remainder when g is divided by 26?
22
Let q(z) = -28*z. Let x be q(-2). Suppose -152 = -4*u - 5*y, -4*u - x + 172 = -4*y. Calculate the remainder when u is divided by 9.
6
Calculate the remainder when 29 is divided by -5 - 3*(-8)/3.
2
Suppose -4 = 5*n - 6*n. What is the remainder when 10 is divided by n?
2
Suppose 3*r - 44 = -3*w + 8*w, 5*r + 4*w = 61. What is the remainder when 140 is divided by r?
10
Let j = 8 - 7. Let a = j + 4. What is the remainder when a is divided by (16/12)/((-2)/(-6))?
1
Let i = 3 - 3. Suppose -4*k - 2*p - 214 = i, -4*p - 8 - 4 = 0. Let n = k + 89. What is the remainder when n is divided by 13?
11
Suppose -n = -4*f - 32, -5*n - 35 + 195 = 3*f. Suppose -4*v + 6*v = n. What is the remainder when 59 is divided by v?
11
Suppose -4*t = -x - 174, -2*t + 6*x + 92 = 3*x. Suppose 5*j - t = 2. Calculate the remainder when ((-1)/(-2))/(2/68) is divided by j.
8
Let v(o) = o**2 - 7*o - 8. Let w be v(8). Suppose w = f - 6 + 1. Let k = 5 - -4. What is the remainder when k is divided by f?
4
Let u(l) = l**2 + 14*l - 4. Calculate the remainder when 36 is divided by u(-16).
8
Let x = -4 - -12. Suppose i - 15 = 4*l, 3*l - 4 = 2. Calculate the remainder when i is divided by x.
7
Let b(m) = 3*m + 1. Let q(d) = 2*d + 1. Let p(f) = 6*b(f) - 5*q(f). Let s(i) = 27*i**2 + i. What is the remainder when s(-1) is divided by p(1)?
8
Let i(r) = 2*r**3 + r - 9. Calculate the remainder when i(3) is divided by 5.
3
Suppose 5*w = 3*b + 625 + 358, w = 5*b + 201. Calculate the remainder when w is divided by 50.
46
Let w(n) = -2*n**2 - 22*n - 12. Let a be w(-9). Let h = -18 + a. What is the remainder when 17 is divided by h?
5
Suppose 80 = 5*m - 5*w, 0 = m - 4*w - 25 - 0. Calculate the remainder when 20 is divided by m.
7
Let v = -67 - -83. Calculate the remainder when 36 is divided by v.
4
Let q be 2/8 - 42/8. Let z(l) = 0*l**3 + l**3 - 7 + 6*l**2 + 5 + 3*l. Calculate the remainder when 23 is divided by z(q).
7
Let z(k) = -k**3 + k**2 + 20. Calculate the remainder when (-264)/(-16)*14/3 is divided by z(0).
17
Let h(f) = 6*f**3 - f - 1. Suppose -3*c - 7 = -8*c - 4*a, -2*a = -3*c + 13. Suppose -48 = -m - c*m. Calculate the remainder when h(2) is divided by m.
9
Suppose 29 = 5*s + 4. Suppose s*j = -3*h - 2*h + 150, h - 4*j - 20 = 0. What is the remainder when h is divided by 15?
13
Suppose -19*w + 92 = -15*w. What is the remainder when w is divided by 12?
11
Let k be 3 + -2 + 1 + -2. Suppose -5*d = 4*u + 6 - 2, 5*u + 4*d - 4 = k. Calculate the remainder when 5 is divided by u.
1
Let j = 5 + 13. Suppose 0 = 4*x - 20, -d - 2*x + 360 = 4*d. What is the remainder when d is divided by j?
16
Let y(h) be the third derivative of h**5/60 + h**4/24 + h**3/2 + 6*h**2. Calculate the remainder when 59 is divided by y(3).
14
Let f = 122 + -46. Calculate the remainder when f is divided by 20.
16
Let h be (-2)/3 - (-184)/(-12). What is the remainder when (39/(-12))/(2/h) is divided by 7?
5
Suppose 2*g - 5*r = 34, -3*g - 3*r = -6*r - 51. Suppose 0 = l + z - 0*z - 30, -2*l + z = -66. What is the remainder when l is divided by g?
15
Suppose -5*g - 3*z + 54 + 26 = 0, g = 4*z + 39. What is the remainder when 75 is divided by g?
18
Let n(v) = v**3 - 3*v**2 - 4*v - 3. Calculate the remainder when n(5) is divided by 15.
12
Let u(l) = l**3 - 8*l**2 + 9*l + 5. Calculate the remainder when u(7) is divided by 10.
9
Let i = -45 + 67. Let l(x) = 5*x + 3. Let k(p) = 4*p + 3. Let o(s) = 4*k(s) - 3*l(s). What is