
12
Let i(q) = -q**3 - 2*q + 1. Let h be i(1). What is the remainder when 6 is divided by 5*(-1)/h*2?
1
Suppose -3*w = -4*y - 43, 3*w + 4*y - 9 = 2*w. What is the remainder when 22 is divided by w?
9
Suppose -7*h = -2*h - 110. Calculate the remainder when ((-32)/(-3))/(-4)*(-35 + 11) is divided by h.
20
Calculate the remainder when 8 is divided by 2/6*9 + 0.
2
Suppose -4*y + 154 = 2*j, 2*y + 3*j = 4*j + 75. Let w(q) = q + 33. Calculate the remainder when y is divided by w(-23).
8
Let d(q) = 10*q + 13. Calculate the remainder when d(6) is divided by 19.
16
Suppose -6*z + 11*z = 205. Suppose 4 + z = 5*l. Calculate the remainder when 23 is divided by l.
5
Suppose -7*k + 168 + 231 = 0. Calculate the remainder when k is divided by 15.
12
Let i = 9 + 4. Calculate the remainder when 23 is divided by i.
10
Let m(w) = w**3 + 5*w**2 - 3*w + 3. Suppose 5*s + 2*z - 87 = 0, -5*s = -0*s - z - 84. What is the remainder when m(-4) is divided by s?
14
Let d be 9*(2 + 0)/2. Suppose q + d = 4*q. Suppose -5 = q*r - 32. What is the remainder when 35 is divided by r?
8
Let n(y) = 12*y**2 + y - 1. Let f be n(1). Let m = f - -19. Calculate the remainder when m is divided by 17.
14
Let w(f) = 8*f**2 + f - 2. Suppose 0 = -4*x - 5*c - 13, x - 2*c + 2 = -x. Calculate the remainder when w(x) is divided by 10.
8
Let f(z) = -z**2 + 14*z + 38. What is the remainder when 8 is divided by f(16)?
2
Let b(x) be the third derivative of x**5/30 - x**4/4 + x**3/3 - x**2. Let l = -37 - -65. Calculate the remainder when l is divided by b(4).
8
Let r(p) = -10*p + 2. Calculate the remainder when r(-6) is divided by 21.
20
Let n(a) = a**3 + 3*a**2 - 3*a - 3. Let j be n(-3). Let r be (j/2)/(6/44). Suppose r = -2*g + 138. What is the remainder when g is divided by 20?
18
Suppose -2*m + 2 = -0. Let l = 4 + m. Let y = l - -8. What is the remainder when y is divided by 7?
6
Let c(v) = -8*v**3 - 1. Let y be c(1). Let q = y - -19. Calculate the remainder when 38 is divided by q.
8
Let s(w) = 8*w + 8. Suppose 22 = -2*d + 5*o, 2*d - 7*d = -o + 32. Let u be s(d). Let f = -26 - u. What is the remainder when f is divided by 5?
4
Let o be (-8)/(-12)*(1 + 2). Let b be (-68)/(-24) - o/(-12). Suppose -2*p - b*p + 45 = 0. What is the remainder when 26 is divided by p?
8
Let q(a) = -a**3 + 5*a**2 + 3*a - 8. Calculate the remainder when 48 is divided by q(4).
8
Let y(g) = g**3 + 6*g**2 - 5*g + 4. Let j(q) = -2*q**2 + 5*q - 3. Let l be j(3). What is the remainder when y(l) is divided by 9?
7
Suppose 30 - 10 = 2*p - 4*m, 5*m = 2*p - 24. Suppose 13 = g - 0*g. Calculate the remainder when g is divided by 6/(p - 1) + 1.
6
Suppose p - 2*p + 204 = 3*c, 0 = 4*c + 5*p - 272. What is the remainder when c is divided by 7?
5
Suppose -j + 3 = -5*c - 15, 5*j + 5*c - 30 = 0. What is the remainder when j is divided by (-6)/24 - 26/(-8)?
2
Suppose 13 - 1 = 3*h. Calculate the remainder when (-22)/(-77) + (0 - 267/(-21)) is divided by h.
1
Suppose 2*h + 3*h = 100. What is the remainder when 117 is divided by h?
17
Suppose -1 = -j, 2*c - 3 = -2*j + 19. Calculate the remainder when 36 is divided by c.
6
Let p be (2/(-2))/((-1)/(-7)). Let l = p - -13. What is the remainder when 10 is divided by l?
4
Let u(l) = l**2 + 2*l + 0*l - 3*l + 2. Let k be u(0). Let j(y) = 9*y + 1. What is the remainder when j(k) is divided by 7?
5
Suppose 0 = 17*t - 20*t + 93. What is the remainder when 90 is divided by t?
28
Let c = -104 - -174. What is the remainder when c is divided by 15?
10
Let f(j) = j**3 - 3*j**2 - 6*j + 11. Calculate the remainder when 121 is divided by f(5).
28
Suppose -4*w = 5*p - 112, -3*w + 2*p - 5*p = -81. Let s = 30 - 18. What is the remainder when w is divided by s?
11
Let b be (-16 + -4)/(1 - 2). Suppose -s + 3*s - b = 0. What is the remainder when s is divided by 6?
4
Suppose 6*k - 51 = 3*k. Let d = k + -10. Calculate the remainder when 1/(-1 - 0)*-19 is divided by d.
5
Let i = 34 + -20. Calculate the remainder when ((-6)/4)/((-3)/52) is divided by i.
12
Let g(n) = -8*n**3 + 4*n**2 - 2*n. Let b be g(4). Let o be 2/(-3) - b/9. Suppose -o = -2*i - 3*i. What is the remainder when i is divided by 3?
1
Let p(q) = -q**3 - 7*q**2 - 8*q - 4. Let u(y) = y**3 - 11*y**2 + 12*y + 3. What is the remainder when u(10) is divided by p(-6)?
7
Let l = -31 - -52. Let a be (-3)/6 - (-10)/4. Calculate the remainder when a/5 - 303/(-5) is divided by l.
19
Suppose 0*k = 5*s + 4*k - 101, 4*k + 18 = 2*s. What is the remainder when s is divided by 1/(-2) + (-78)/(-24)*2?
5
Let j be (-435)/(-6) - 1/2. Suppose 3*u = -u + j. Calculate the remainder when u is divided by 5.
3
Let j = -4 - -8. Suppose -177 = -j*a + 35. What is the remainder when a is divided by 19?
15
Suppose w + 528 = 12*w. Calculate the remainder when w is divided by 16.
0
Suppose -4*a - 37 + 69 = 0. Let c(s) = s**3 - 6*s**2 - 7*s - 3. Let w be c(7). Calculate the remainder when (42/(-8))/(w/12) is divided by a.
5
Let t = 121 - 78. What is the remainder when t is divided by 8?
3
Suppose 2*u = 97 - 29. Suppose -2*c = -2*j + 46, -j - 4*j - c + 85 = 0. Calculate the remainder when u is divided by j.
16
Suppose -4*c = -5*x - 11, 5*x = -4*c + 5*c + 1. Suppose 2*i + z = 33, 0 = c*i + 4*z + z - 81. Let d = 3 - -5. What is the remainder when i is divided by d?
6
What is the remainder when ((-63)/(-35))/((-2)/(-10)) is divided by 5?
4
Suppose -w + 16 = -15. Let q(s) = -8 - 24 - 4*s + 8. Calculate the remainder when w is divided by q(-10).
15
Let c(p) = -p**2 + 8*p + 6. What is the remainder when 51 is divided by c(7)?
12
Suppose -2*n - 5*l = 19, -2*n = n - l - 14. Suppose -139 + 28 = -n*o. Calculate the remainder when o is divided by 13.
11
Let t = -13 + 20. Suppose t - 23 = -l. Calculate the remainder when 29 is divided by l.
13
Let d = -188 + 226. Calculate the remainder when 108 is divided by d.
32
Suppose 0 = -3*k + 12 + 39. What is the remainder when 66 is divided by k?
15
Let d(r) = 5*r**3 + 2*r**2 - 4*r + 3. Calculate the remainder when d(2) is divided by 15.
13
Calculate the remainder when 30/(-20)*158/(-3) is divided by 20.
19
Let o(d) = -d**2 + 6*d + 6. Let a be o(7). Suppose -q - g = -7, 4*q + 14 + 3 = 5*g. What is the remainder when 14 is divided by (2*q)/(a/(-2))?
6
Suppose -15 = -3*z - 2*z. Suppose -z*h = 2*h - 340. Suppose 26*w - 29*w + 69 = 0. What is the remainder when h is divided by w?
22
Let f = 16 - 9. Suppose -f*g = -2*g - 85. What is the remainder when g is divided by 9?
8
Suppose -4*f + 68 = -2*v, -f - 5*v + 15 = -2. Suppose 0 = -p - 111 + 36. Let i = p + 108. Calculate the remainder when i is divided by f.
16
Let x be (28/(-7))/((-4)/6). Let d = 8 - x. Let v(w) = -w**3 + 5*w**2 - w + 7. What is the remainder when v(5) is divided by d?
0
Let h = 6 - 13. Let u = 10 + h. Suppose u*n = -12, 0 = -5*a + 3*n - 0*n + 32. Calculate the remainder when a is divided by 3.
1
Let h(c) = 3*c - 1. Suppose -2*j = -3 - 3. Let s be h(j). What is the remainder when (s/(-6))/(4/(-108)) is divided by 19?
17
Suppose -2*d - 3*s = 2*d - 33, 2*d - 5*s - 23 = 0. What is the remainder when d is divided by 6?
3
Suppose -3*l + 8*l = 25. Suppose -27 - 12 = -3*k + 3*b, 51 = 4*k - l*b. Calculate the remainder when k is divided by 5.
4
Let z = -4 + 9. Let t = z + -3. Calculate the remainder when 4 is divided by t.
0
What is the remainder when 93 is divided by -14*(-6 + 4) + 4?
29
Let v = -10 + 21. Calculate the remainder when v is divided by 6.
5
What is the remainder when 20 is divided by ((-11)/22)/(2 + (-90)/44)?
9
Let u(o) = o**2 - o - 2. Let n be u(-2). Suppose -w + 35 = n*w. What is the remainder when 11 is divided by w?
4
Let z = 9 - 6. Suppose 83 = 3*r - 5*g, 2*r = -2*r - z*g + 101. Let d = 4 - -5. What is the remainder when r is divided by d?
8
Suppose 11 = -g + 24. What is the remainder when g is divided by 3?
1
Let c(f) be the third derivative of f**5/6 + f**4/12 - f**3/6 + 7*f**2. What is the remainder when c(-3) is divided by 28?
27
Let v(l) = l. Let d be v(5). Let r = -4 + 9. Suppose -d*g + 40 = r. Calculate the remainder when g is divided by 4.
3
Let z = -72 + 77. Let n(y) = -y**3 + 5*y**2 - y. Calculate the remainder when n(4) is divided by z.
2
Let d = -9 - -13. Suppose 9*u - 2 = 79. Calculate the remainder when u is divided by d.
1
Suppose -5*c + 5*n - 2*n + 318 = 0, 0 = -3*c +