r be o(-4). Calculate the remainder when (r - -1)/(1/(-61)) is divided by 16.
13
Let b(x) = x**3 + 8*x**2 + x + 11. Let f be b(-8). Suppose 3*l + f*u = 4 - 22, 0 = -3*u - 9. Calculate the remainder when (36/(-4))/(1/l) is divided by 14.
13
Suppose -5*b + 91 = -39. What is the remainder when 75 is divided by b?
23
Let v = 26 + -6. Suppose -v + 4 = -4*f. Suppose -5*h + 32 = f*g, -3*g + 24 = -0*g - h. What is the remainder when 22 is divided by g?
6
Let c(d) = 9*d**3 - 2*d**2 + d. Let x = 85 + -80. Calculate the remainder when c(1) is divided by x.
3
What is the remainder when -1 + 0 + 4*10 + -2 is divided by 19?
18
Let o(n) = -8*n - 37. Calculate the remainder when 18 is divided by o(-6).
7
Let l(d) = d + 1. Let g be l(2). Suppose -4*c + 211 = 3*q, -3*q + 246 = -0*q - g*c. Calculate the remainder when q is divided by 20.
17
Let k(s) = s**3 + 2*s**2 - 2*s - 2. Let v be k(-2). Let i = -13 - -17. Suppose 0 = -4*j - 16, v*b - i*j = 34 - 4. What is the remainder when b is divided by 3?
1
Let n(m) = m - 2. What is the remainder when 17 is divided by n(4)?
1
Let c = 13 + -7. Let f(m) be the first derivative of -m**4/4 + 2*m**3 - m**2/2 + 8*m + 1. Calculate the remainder when 4 is divided by f(c).
0
Suppose -g + 4*z = 39 - 108, 3*z - 83 = -2*g. Suppose 0 = -2*f - 5*n + g, -3*n + 8 + 17 = f. Calculate the remainder when f is divided by 8.
6
Suppose 2*s = 3*c + 106, -s - 25 = c + 2. What is the remainder when 24 is divided by 2/(-8) - 296/c?
6
Suppose 2*u + 190 = -0*u. What is the remainder when u/(-4) - 3/4 is divided by 6?
5
Let v(f) = 3*f**3 + f**2 - f. Let u be v(1). Suppose 0*g + 238 = u*p - 5*g, -4*g + 247 = 3*p. Calculate the remainder when p is divided by 21.
18
Suppose 0 = 4*i - 6*s + 2*s - 32, -s = -2. What is the remainder when (-8)/(-20) - (-6)/i is divided by 1?
0
Let j = 181 + -109. Calculate the remainder when j is divided by 15.
12
Let n(x) = -x**2 - 9*x - 10. Let a be n(-8). What is the remainder when 16 is divided by 10 - (a/1 - -3)?
7
Let i = 10 + 3. What is the remainder when i is divided by 8?
5
Let n = 43 - 3. What is the remainder when n is divided by 14?
12
Let d = 30 - 15. Calculate the remainder when ((-87)/(-9))/((-1)/(-3)) is divided by d.
14
Suppose -3 = -2*y + 1. What is the remainder when 25 is divided by 2/((-1)/(-7)*y)?
4
Suppose v - 26 = -9. What is the remainder when v is divided by 10?
7
Suppose 122 = d - 2*n, 8*d - 226 = 6*d - 2*n. Calculate the remainder when d is divided by 30.
26
Suppose 3*d + 2*d = 655. Suppose 4*y - 9 = d. Suppose -5*p - 5*n = -y, -p - 4*n = -0*p - 10. Calculate the remainder when p is divided by 3.
0
Let f = -1 + 5. Suppose -d - 24 = -f*d. What is the remainder when 29 is divided by d?
5
Suppose 8 = -4*w - 0*w. What is the remainder when 27 is divided by (-12)/9*15/w?
7
Suppose -5*v - 5*f + 200 = 0, 2*f - 5*f = -2*v + 70. Suppose -o - 66 = -4*h - 10, -2*h = o - 22. Calculate the remainder when v is divided by h.
12
Suppose 4*a = m + 481, 92 + 32 = a + m. Calculate the remainder when a is divided by 31.
28
Let h(s) = s**2 - s + 3. Calculate the remainder when h(3) is divided by 9/(((-63)/6)/(-7)).
3
Let r = 245 + -158. What is the remainder when r is divided by 8?
7
Let n(q) = q**2 - 6*q + 1. What is the remainder when n(8) is divided by 6?
5
Let h be 1/(-2) - (-9)/(-2). Suppose -6*v = 3*w - v + 11, 10 = -2*w - 4*v. Calculate the remainder when (w/h)/((-1)/35) is divided by 11.
10
Calculate the remainder when 48/(-64) + 127/4 is divided by 9.
4
Let f = -2 - 8. Let h = f - -11. Calculate the remainder when h is divided by 1.
0
Let u be (-34)/(-8) - 1/4. Let l = u + 6. Let h(s) = -s - 4. Calculate the remainder when l is divided by h(-10).
4
Let v be (-284)/(-3) - 10/15. Suppose -k + 5*k - 5*w = v, -5*k + 5*w + 115 = 0. What is the remainder when k is divided by (-12)/6*11/(-2)?
10
Suppose -g + 0*q - 4*q + 3 = 0, -4*g - 5*q = -12. What is the remainder when 10 is divided by g?
1
Let r = -116 - -166. What is the remainder when 196 is divided by r?
46
Suppose 0 = p + g - 5, 20 + 11 = 3*p - g. Calculate the remainder when ((-15)/1)/(-1) - -1 is divided by p.
7
Suppose p - 2 = -i + 45, 3*p + 141 = 3*i. Calculate the remainder when i is divided by 24.
23
Suppose 0 = -2*v - 0*v + 18. Suppose 5*q + 39 = 5*p + v, 0 = -4*p - 2*q. Calculate the remainder when 7 is divided by p.
1
Suppose v + 3*v = 4. Suppose -m = -5 - v. Suppose -3*u + m*u - 51 = 0. What is the remainder when 32 is divided by u?
15
Suppose 3*h - 5 = -4*r, -r + 2*h + h - 10 = 0. Let s(g) = -9*g**3 + g + 1. What is the remainder when 34 is divided by s(r)?
7
Let l(j) = 18*j**2 + 1. Calculate the remainder when l(-1) is divided by 6 + 2/(-8 - -10).
5
Suppose -v + 5 = 2*w, 0 = -5*v + 4*w + 26 + 13. What is the remainder when (-4)/10 + (-274)/(-10) is divided by v?
6
Suppose 4*k - 80 = 2*a, 0 = -2*k + 2*a - 7*a + 64. What is the remainder when 64 is divided by k?
20
Let w = -9 + 18. What is the remainder when 25 is divided by w?
7
Let c = 51 - 46. What is the remainder when 12 is divided by c?
2
Suppose 444 = 12*y - 0*y. Suppose p = -p + 28. Let i = y - p. What is the remainder when i is divided by 12?
11
Calculate the remainder when 171 is divided by 3 - (-1 + (-3)/(-1)) - -42.
42
Let f(m) = -5*m**3 + 5*m**2 + 3*m + 1. Let h(a) = -6*a**3 + 6*a**2 + 4*a. Let d(t) = 5*f(t) - 4*h(t). What is the remainder when d(0) is divided by 2?
1
Let p be (-31)/5 - 2/(-10). Let l = p + 11. Suppose h = -l*f + 2*f + 9, -2*f + 3*h = -17. What is the remainder when f is divided by 3?
1
Suppose 5*f + 9 = 8*f. Let r be -13 - ((-1)/1 + 0). Let b = r - -19. What is the remainder when b is divided by f?
1
Let u = -4 + 6. Suppose -k + 24 = k + w, 0 = -u*k + 5*w. What is the remainder when k is divided by 6?
4
Suppose 3*m - j = 32, -37 = -3*m + 2*j - 0. Let q be (-2)/7 + 74/14. Suppose p - 4 - m = -4*b, -5*b + q = 0. Calculate the remainder when 26 is divided by p.
8
Let f = -18 - -18. What is the remainder when 2 + ((-2)/2)/1 is divided by (-2)/(1*(-2 - f))?
0
Let w = -6 - -21. Calculate the remainder when 28 is divided by w.
13
Let i(v) = v**3 - 11*v**2 + 13*v - 7. Calculate the remainder when i(10) is divided by 12.
11
Let o(j) = -j**3 - 8*j**2 - 2*j - 5. Let h = -25 - -17. What is the remainder when 16/(-6)*(-1 - 11) is divided by o(h)?
10
Suppose -3*u + 11 + 13 = 0. Suppose 6*j - 9 = 3*j. What is the remainder when u is divided by j?
2
Calculate the remainder when 514/10 - 3/(-5) is divided by 18.
16
Let t(i) = i**3 + 16*i**2 + 27*i + 21. What is the remainder when t(-14) is divided by 12?
11
Suppose -z = b - 6*b - 49, -47 = -3*z - 5*b. What is the remainder when 93 is divided by z?
21
Let v be 4/(-18) - 40/(-18). Suppose -h + 24 = v*h. Calculate the remainder when 44 is divided by 182/h - 5/(-20).
21
Let c(w) = 0 - 4*w + 3 - w. Calculate the remainder when c(-7) is divided by 13.
12
Let o be -16*((-27)/6 - -2). Suppose 3*m = -m + o. Calculate the remainder when m is divided by 6.
4
Suppose -y + 25 = 3*s, -2*s = 5*y + 2*s - 81. Calculate the remainder when 47 is divided by y.
8
Suppose 5*a = 5*p + 60, 6*p - 3*a + 44 = 2*p. Let q = p - -14. What is the remainder when 17 is divided by q?
5
Let w(s) = s**2 + 12*s - 4. Let d = -1 - -10. Suppose 5 = u - d. What is the remainder when w(-15) is divided by u?
13
Suppose -45 = 2*z + 3*z. Let d = -6 - z. Suppose 2*n - d - 3 = 0. Calculate the remainder when 7 is divided by n.
1
Let c = 109 + -57. What is the remainder when c is divided by 21?
10
Suppose -3*z - 2*m = -3, -5*m - 21 = -2*z - 0*m. Suppose 0 = -3*g + g + z*a + 25, -2*a = -g + 10. What is the remainder when 37 is divided by g?
17
Suppose 21 = 20*k - 19*k. Calculate the remainder when 81 is divided by k.
18
What is the remainder when 53 is divided by 4*(-95)/(-40) + (-6)/(-4)?
9
Let q(x) = x**3 + x + 4. What is the remainder when q(3) is divided by (-3 - -4)*-1 - -13?
10
Suppose -3*c + 2*a = 7*a - 867, 0 = 3*a - 9. What is the remainder when c is divided by 22?
20
What is the remainder when -14 + 9 - (-175 + -3) is divided by 60?
53
Suppose -2*u = -6*u + 88. What is the remainder when u is divided by ((-42)/35)/(3/(-20))?
6
Suppose -4*x = -3*x, 2*x - 110 = -2*s. Let o(r) = 5*r - 1. Let n = -7 - -11. What is the remainder when s is divided by o(n)?
17
Suppose -l -