
Let v(t) = -4*t + t**3 + 0*t + 9*t**2 + 5 + 4*t. Calculate the remainder when v(-8) is divided by 14.
13
Let q = -24 - -26. What is the remainder when (125/15)/(q/6) is divided by 13?
12
Suppose 2*b + 35 = 5*l - 34, -3*b - 6 = -l. Let w = 0 + 2. Suppose l = 7*h - w*h. Calculate the remainder when 9 is divided by h.
0
Suppose -4*v - 139 = -6*v - c, 2*v - 114 = 4*c. Let w = v + -50. Let q(u) = u + 6. Calculate the remainder when w is divided by q(0).
5
Let v be (-8 - -8)*(0 + -1). Suppose v = 9*x - 0 - 36. What is the remainder when 5 is divided by x?
1
Suppose -225 = -3*n - 3*g, -2*n + 127 + 11 = -g. What is the remainder when 211 is divided by n?
69
Suppose -70 = -13*o - o. Calculate the remainder when 43 is divided by o.
3
Let r = -2314 - -2411. What is the remainder when r is divided by 3?
1
Suppose 4*o = 5*v, 0*o - o + 7 = -3*v. Let n = 551 + -535. Calculate the remainder when v/6*-3 + 27 is divided by n.
13
Suppose 25*j - 21*j = -2*z + 50, 41 = 4*j - z. Suppose 5*r - 196 = -3*h + 2*h, -37 = -r + 2*h. What is the remainder when r is divided by j?
6
Suppose 6*n + 39 = v, -5*n + 39 = v - 6*n. Calculate the remainder when 140 is divided by v.
23
Let g = -1537 - -1862. What is the remainder when g is divided by 3?
1
Let a = -81 - -86. Calculate the remainder when 18 is divided by 4 - a - (1 + -10).
2
Suppose -42 = -l + 4*o, 2*l - l - 24 = -2*o. Suppose 3*m + m + 52 = 0. Let b = l + m. Calculate the remainder when 31 is divided by b.
14
What is the remainder when 93 is divided by (3/((-75)/(-190)))/((-14)/(-35))?
17
Let z be 8 + -1 + 0/1. Let o(g) = g**2 - 5*g - 10. What is the remainder when 23 is divided by o(z)?
3
Let v = 557 - 449. Calculate the remainder when v is divided by 22.
20
Suppose -4*z - 789 = -5*h - 254, 3*h = -3*z + 321. Calculate the remainder when 961 is divided by h.
105
Let x = 220 - 152. Suppose 0 = 28*i - 18*i - 140. What is the remainder when x is divided by i?
12
Let k(g) = -g - 2. Let u be k(0). Let t be (1/u)/(4/(-968)). Suppose 0*x + t = 4*c + 3*x, 4*x = -5*c + 152. What is the remainder when c is divided by 15?
13
Let b(q) = -2*q + q**2 + 2*q**2 - 9*q + 9 - q. Calculate the remainder when b(4) is divided by 3.
0
Let o(a) = a**3 - 6*a**2 + 6*a - 7. Let z be 3 - 75/27 - 3668/(-18). Let b = z + -149. Calculate the remainder when b is divided by o(6).
26
Suppose 0 = -22*f + 24*f - 136. Calculate the remainder when f is divided by 24.
20
Suppose 4*s - 29 = 3*w - 1, 5*w + 36 = 4*s. Let y be 0/(-3*4/w). What is the remainder when 35 is divided by -2*((y - 1) + -5)?
11
Let h be ((-150)/(-9))/((-12)/(-18)). Calculate the remainder when -2 + -1 + 4*h is divided by 25.
22
Let c = 561 - 497. What is the remainder when 88 is divided by c?
24
Let x(w) = -w**3 - 5*w**2 + 5*w + 7. Let d = -37 - -61. What is the remainder when x(-7) is divided by d?
22
What is the remainder when 5 + (-6)/8*(-1 + -71) is divided by 18?
5
Let l = 71 - 24. Let g = -30 + l. Suppose n = -c - 3*c + 13, -4*c = 20. What is the remainder when n is divided by g?
16
Let h(p) = p**2 - 33*p - 27. What is the remainder when 14 is divided by h(34)?
0
Let t(c) = c**3 - 8*c**2 + 17*c + 15. What is the remainder when t(8) is divided by 20?
11
Let w be (1 - -3 - 6)*-1. What is the remainder when (1 - w)*(-11 + 3) is divided by 2?
0
Suppose 0 = -2*i + 5*q - 11, -3*i = 2*i - 4*q - 15. What is the remainder when 19 is divided by i?
5
Let y be (-1)/((-2)/(-6)) - -3. Suppose -4*i = -y*i - 4. Suppose -3*d + 17 = c - 45, -d = i. What is the remainder when c is divided by 17?
14
Let z(t) be the second derivative of t**5/20 - 7*t**4/6 - 5*t**3/2 + 19*t**2/2 - 4*t. Calculate the remainder when z(15) is divided by 4.
3
Suppose 0 = -4*n - 4*k + 24, 0 = -3*n + 2*k + 1 + 7. Suppose -z = -0*z + 3*u + n, 24 = 4*z + 2*u. Calculate the remainder when 45 is divided by z.
5
Let u be 24/6 - (-1 - 199). Suppose 19*h = 13*h + u. What is the remainder when h is divided by 9?
7
Calculate the remainder when (-5 - -74)*(-1)/(-3) is divided by 15.
8
Suppose -z + 2 + 3 = 0. Suppose 4*j - 77 = -z. Calculate the remainder when j is divided by 5 - (5 + 1 + -6).
3
Let j = -68 - -97. Let p = 0 + 23. Let r = 32 + p. What is the remainder when r is divided by j?
26
Suppose 9*s - 1432 - 4373 = 0. What is the remainder when s is divided by 13?
8
Suppose -p - p = -74. Calculate the remainder when p is divided by 30.
7
Let h = -362 + 411. Calculate the remainder when 146 is divided by h.
48
Let i(g) = -g**2 - 18*g - 19. Let h be i(-19). Let y = h - -73. Calculate the remainder when 67 is divided by y.
32
Let z(c) = -7*c + 3. Suppose 8*p + 10 + 6 = 0. Calculate the remainder when 66 is divided by z(p).
15
Let v(s) = s**3 + 41*s**2 + 73*s + 69. Calculate the remainder when v(-39) is divided by 54.
48
Let k(b) = -2*b + 13. Let f = 24 + -37. What is the remainder when k(f) is divided by 10?
9
Suppose -12*d - 3564 = -3780. What is the remainder when 389 is divided by d?
11
Suppose 2*c - 6*c = -188. Suppose -2*i - 2*i = 12, 5*i - 110 = -5*l. Calculate the remainder when c is divided by l.
22
Suppose 0 = 3*l - 2*d + 16, 2*l + 3*d = d - 4. Let m = 17 + l. Let j = 57 - 33. Calculate the remainder when j is divided by m.
11
Suppose 0 = -0*u - 2*u, -o - 5*u = 10. Let f(h) = h + 23. Calculate the remainder when 44 is divided by f(o).
5
Let s(a) = -284*a + 60. Calculate the remainder when s(-2) is divided by 30.
28
Let f(a) = 2*a**3 + 53*a**2 + 21*a - 44. Calculate the remainder when 253 is divided by f(-26).
81
Let u = -1216 - -1353. What is the remainder when u is divided by 3?
2
Let u = -14 + 7. Let x(k) = k**3 + 7*k**2. Let j be x(u). Suppose r - 3 = -j*r. What is the remainder when 9 is divided by r?
0
Let f(l) = -81*l + 36*l + 45*l + l**2 + 3. Calculate the remainder when 47 is divided by f(-3).
11
Suppose -14*w + 33 = -177. Suppose -3*n = z + 3, 4*z - 19 = -4*n + 1. Calculate the remainder when w is divided by z.
6
Suppose 4*x - 4*y + 0 - 120 = 0, 165 = 5*x - 2*y. Calculate the remainder when x is divided by 9.
8
Let v(o) = 2*o - 3. Let m be 3*(4 + (-4 - -1)). Suppose -4*f + 4*p = -48, -3*f + 3*p - p = -33. Calculate the remainder when f is divided by v(m).
0
Suppose 0 = d - 4*d + 12, -3*d + 22 = -2*k. What is the remainder when k + 172/3 + (-4)/3 is divided by 11?
7
Suppose 5*g - 2*z = 141, -2*g - 4*z = -21 - 21. What is the remainder when g is divided by 20?
7
Suppose 2*l + 2*l = -4*m + 372, m = 2*l - 183. Calculate the remainder when l is divided by 5.
2
Let l be (40/(-10))/((-1)/1). Suppose -4*j = 0, 3*t = j - 2*j + 42. Suppose 14 + t = l*a. Calculate the remainder when a is divided by 3.
1
Let l(a) = 3*a - 4. Let q be (-6)/(-2) - (-3 - -3). Suppose 2*b + 2*z - 34 = -2*z, -4*b = -2*z - 78. What is the remainder when b is divided by l(q)?
4
Let z(k) be the third derivative of k**6/120 - k**5/10 + k**4/6 - 5*k**3/6 - 4*k**2. Let l = 10 - 0. What is the remainder when z(6) is divided by l?
9
Let o(r) = -240*r - 42. Calculate the remainder when o(-1) is divided by 17.
11
Calculate the remainder when -47*(-28)/2*(-4)/(-8) is divided by 107.
8
Calculate the remainder when (-304)/(-3)*51/34 is divided by 9.
8
Let s be (0 - 1) + 4 + 9. Let r(f) = 2*f + 1. Let x be r(-1). Let v = x + s. What is the remainder when 41 is divided by v?
8
Let x be (3*-1 - 1)/(-9 + 8). What is the remainder when 3 - 1 - x/4*-87 is divided by 45?
44
Let k be (-2 - -4) + -3 - 0. Suppose -4*a + 20 = 0, -2*u - 2*a + 41 = -a. What is the remainder when 1269/18 - k/(-2) is divided by u?
16
Suppose 0 = -5*b - 3*y + 32, -1 = b - 4*y - 12. Suppose -b*t - 154 = -18*t. Let z(k) = 41*k**2 - 1. Calculate the remainder when z(-1) is divided by t.
12
Let b(v) = -v**3 + 13*v**2 + 5*v + 16. Let g be b(13). Suppose 10*s = 7*s + g. Let x = s + -22. Calculate the remainder when 7 is divided by x.
2
Let g(u) = -7*u - 34. What is the remainder when g(-7) is divided by 4/(-14) - (-232)/28?
7
Let b(w) = w**3 - 14*w**2 - 11*w - 17. Let u(d) = d**2 + d + 1. Let s(o) = b(o) + 6*u(o). What is the remainder when 73 is divided by s(9)?
23
Let d(h) = 4*h**3 + h**2 - 2*h + 1. Let o be d(-2). Let t(q) = -q**2 - 14*q - 4. Let x be t(-9). Let g = x + o. Calculate the remainder when g is divided by 10.
8
Let y(u) = -u**3 - u + 9. Let c(l) = -l**2 + 11*l. Let a be c(11). 