ided by 0 + -1 - (-11 - -3)?
5
Let z(t) = t**3 + 5*t**2 - 6*t + 4. Let r be z(-6). Suppose -2*c = -2 - r. What is the remainder when 4 is divided by c?
1
Let p(z) = -z**3 + 6*z**2 - 4*z. Let q be p(5). Suppose -2*v + 22 = -q*y, -4*v + 22 + 22 = 4*y. Calculate the remainder when 32 is divided by v.
10
Let v = 1153 + -1044. Let w = -1 + 17. Calculate the remainder when v is divided by w.
13
Let w be (-259)/(-49) - 2/7. What is the remainder when 65 is divided by (-2)/w - (-1670)/50?
32
Let k(p) = p**3 + 6*p**2 - 2*p + 5. What is the remainder when 6/(-8)*44/(-1) is divided by k(-6)?
16
Suppose 4 = 4*n - o - 3, 4*n = 5*o - 13. Let b be n*(76/(-12) - 1). Let r = b + 47. Calculate the remainder when r is divided by 14.
11
Let h(y) = -2*y - 60. Let w be h(-23). Calculate the remainder when 11 is divided by (-9)/(-21) - 78/w.
5
Let h(g) = -g**2 - 10*g - 2. Suppose 0 = -4*i + 5*i - 114. Let s = -21 + i. Calculate the remainder when s is divided by h(-7).
17
Suppose -4*y + 14*s - 15*s + 167 = 0, -5*y + s + 220 = 0. What is the remainder when 97 is divided by y?
11
Suppose 0 = -5*b + 3*x + 72, 0 = 3*b - 4*x - 12 - 40. Calculate the remainder when 106 is divided by b.
10
Let b(p) = 7*p**2 + 11*p + 5. Let c(f) = 6*f**2 + 12*f + 6. Let z(h) = 5*b(h) - 6*c(h). Calculate the remainder when 215 is divided by z(-11).
50
Let t = 71 - 41. Let u(k) = k**2 - 4*k - 4. What is the remainder when t is divided by u(-3)?
13
Suppose 2*p + i = 721, -15*i + 1427 = 4*p - 16*i. What is the remainder when p is divided by 6?
4
Suppose 0 = -2*b - b + 24. What is the remainder when b is divided by 27/6*4/6?
2
Suppose g = -2*g - 5*n - 76, -5*g + 5*n = 180. Let m = g - -60. Suppose 4*v - 91 = 121. What is the remainder when v is divided by m?
25
What is the remainder when 695 is divided by 12/22 + -6 + 2034/22?
86
Let f(k) = 4*k**2 - 20*k - 108. What is the remainder when f(-7) is divided by 42?
18
Suppose 533 = 4*h + 69. Suppose 3*n - 4*j + 323 = -2*n, 4*j = 2*n + 122. Let l = n + h. What is the remainder when l is divided by 13?
10
Suppose 5*j + 13 = 123. What is the remainder when 72 is divided by j?
6
Let c(p) = -p**2 - 2*p - 1. Let m be c(-2). Let n(b) = -52*b - 71. Calculate the remainder when n(-2) is divided by 4/(8/38) + m.
15
Let r(x) = -x**2 - 11*x - 7. What is the remainder when (-2)/17 - (-51832)/1292 is divided by r(-7)?
19
Calculate the remainder when 37 is divided by ((-312)/18)/13*-12.
5
Calculate the remainder when 102 is divided by 2/(-7) + 1*(-149)/(-7).
18
Let j(b) be the third derivative of 2*b**5/15 - b**4/24 - b**3/3 + 6*b**2. Calculate the remainder when 25 is divided by j(-1).
4
Suppose 36*x = 47*x - 4796. What is the remainder when x is divided by 19?
18
Let o(j) = 3*j**2 - 5*j + 6. Let h be o(5). Let s = h - 12. What is the remainder when s is divided by 24?
20
Let u be 26/(-4)*-16*3. Suppose u = 2*s + 2*s. Calculate the remainder when s is divided by (-2)/(2*(-2)/20).
8
Suppose 5*d + t + 916 = d, 0 = 4*d + 4*t + 916. What is the remainder when d/(-6) + 5/(-30) is divided by 8?
6
Let c(v) = -7*v**2 + 5*v - 11. Let f(k) = 3*k**2 - 2*k + 6. Let q(y) = -4*c(y) - 9*f(y). Calculate the remainder when 24 is divided by q(6).
10
Let w be (-17 - -2) + (-3 - -4). Let v = -9 - w. Suppose -5*a + 270 = -u, -4*a = -a - v*u - 140. Calculate the remainder when a is divided by 29.
26
Suppose 493 - 19 + 77 = 29*k. Let p = 30 + 5. Calculate the remainder when p is divided by k.
16
Let w be (-2)/(-4) - (-21)/6. Suppose 3*r = 5*r. Suppose r*l = -w*l + 56. Calculate the remainder when 69 is divided by l.
13
Suppose 0 = 5*i + 4*x - 38, -4*x = -2*i + 6*i - 28. Let l(v) = 22*v - 317. Calculate the remainder when l(17) is divided by i.
7
Let a(c) = c**3 + 4*c**2 - 22*c + 5. Let t be a(-7). Suppose -5*d - t = -4*i - 34, 3*d = -3*i - 3. What is the remainder when 7 is divided by d?
1
Suppose 50 = -2*t - 128. Let z = t + 97. What is the remainder when 37 is divided by z?
5
Let q(w) = -w**3 - 5*w**2 - w + 6. Suppose 0 = -2*z - 2, -4*f + 0*z - 25 = 5*z. Calculate the remainder when 3/((-9)/(-240)*4) is divided by q(f).
9
Let y = -41 + 108. Calculate the remainder when y is divided by 24.
19
Suppose 20 = 4*x, 3*c + 6 = x + 2*x. Suppose c*j = -2 - 7, -g + 10 = -j. Calculate the remainder when 10 is divided by g.
3
Suppose -4*s = 5*a - 395, -3*a + 161 = 2*s - 36. Let m = -64 + s. Suppose 4*c = c + m. What is the remainder when c is divided by 4?
0
Let i = 41 + -29. Calculate the remainder when 7 is divided by -1 + (-2 + i - 5).
3
Let k(l) = l**3 - 3*l**2 + 4*l - 4. What is the remainder when (-121)/(-11) - 3/(-2)*2 is divided by k(3)?
6
Suppose -z - 59 - 4 = -5*a, 0 = 4*a + 4*z - 36. Calculate the remainder when (-2)/6*846/(-6) is divided by a.
11
Suppose -35*x + 1175 = -2220. Calculate the remainder when x is divided by 9.
7
Suppose -1 = -2*l + 5. Let d(i) = -2 + 2 - 5*i**2 - 7*i**l + 7*i**2 + 3*i. Calculate the remainder when d(-2) is divided by 20.
18
Let n(q) = -14*q**2 + 88*q - 10. What is the remainder when 161 is divided by n(6)?
7
Suppose -4*k + 2*a - 36 = 0, k + 2*a - 3*a + 7 = 0. Let h = 11 + k. Suppose -3*l - 3 = 5*t, h*l - t + 5 = 2*l. What is the remainder when l is divided by 1?
0
Let r = 649 + -439. What is the remainder when r is divided by 72?
66
Suppose -y = -2*t - 81, -5*y + 369 = t + t. Suppose 3*p - 69 = 4*z, 1217*p - 4*z = 1215*p + 50. What is the remainder when y is divided by p?
18
Suppose -17*n + 120 = -5*n. What is the remainder when 58 is divided by n?
8
Let k = 26 + -44. What is the remainder when (-4)/k + (-237)/(-27) is divided by 2?
1
Let g be (-1)/(-9) - (-572)/117. Suppose m - g*l - 47 = -m, -5*m + 109 = -4*l. Calculate the remainder when m is divided by 11.
10
Let x(n) = -4 + n**2 - 6*n - 13 + 0. What is the remainder when 57 is divided by x(-3)?
7
Suppose -4*h + f = -1089, -4*h + 2*h + 5*f = -531. Suppose -4*m - 19 = 1. What is the remainder when 34 is divided by h/15 - (-1)/m?
16
Let a(t) = 8*t - 17. Let n be a(12). Suppose 4*z + n = -17. What is the remainder when 13 is divided by (-114)/z - (-2)/8?
3
What is the remainder when (-62)/(-2) - 45/(-45) is divided by 15?
2
Calculate the remainder when 193 is divided by 41 + (-49)/14*(-4)/(-7).
37
Suppose -5*x + z = -340, -3*x - 4*z + 227 = -0*z. Let r = x + -46. Calculate the remainder when r is divided by 13.
10
Calculate the remainder when (((-6)/(-9) - 1)*-97)/((-2)/(-6)) is divided by (-2)/(-7) + 173/7.
22
Let c(j) = -141*j - 2 + 23*j**2 + 72*j + 73*j. Calculate the remainder when c(-3) is divided by 39.
37
Suppose 0 = 3*a - 194 + 32. Let d = -1642 - -1670. Calculate the remainder when a is divided by d.
26
Let r(x) = -4*x + 8. Suppose -24*t + 26*t = 0. What is the remainder when 30 is divided by r(t)?
6
Let t = -225 - -274. What is the remainder when t is divided by 34?
15
Calculate the remainder when 28 is divided by (-1 + 10/50)/(2/(-15)).
4
What is the remainder when (-159)/106*2636/(-6) is divided by 13?
9
Calculate the remainder when 201/7 - 6/(-21) is divided by (0 + 5 + (-4)/1)*(7 - 2).
4
Let k(l) = -l**2 - 22*l + 10. What is the remainder when k(-6) is divided by 23?
14
Let l = 22 - 11. Suppose 0 = 56*d - 73*d + 816. What is the remainder when d is divided by l?
4
Suppose 5*s + 0*s + 30 = 0. Let m(y) = -y**2 - 11*y - 15. Let i = 44 + -17. Calculate the remainder when i is divided by m(s).
12
Suppose v + 65 = 6*v. Let r(w) be the second derivative of w**4/12 + 3*w**3 + 5*w**2/2 - 10*w. What is the remainder when v is divided by r(-18)?
3
Let a(s) be the first derivative of -s**2 + 31*s - 17. Let c = 13 - 4. What is the remainder when 63 is divided by a(c)?
11
Let m be (-208)/(-130)*(-3)/((-6)/10). Suppose 0 = -4*h - 5*u - 13, -2*u - 11 = 3*h + 3*u. Calculate the remainder when 19 is divided by h/8 - (-58)/m.
5
Let b = -463 - -477. What is the remainder when 40 is divided by b?
12
Suppose 5*f + 2*d - 314 = 0, 4*f - 10*d - 238 = -5*d. What is the remainder when 200 is divided by f?
14
Suppose 5*z + 4 = -3*p + 15, 2*z = p. Let a be z/((2 + -3)*-1). Calculate the remainder when 29 is divided by 2 - (a - 14/1).
14
Suppose 4361*v - 4365*v + 116 = 0. Calculate the remainder when v is divided by 5.
4
Let l(j) = j**2 - 21*j + 136. Let t(g) = 27*g**2 - 2*g. Calculate the remainder when t(-2) is d