 remainder when 53 is divided by s?
24
Let q(k) = -k**3 - 4*k**2 - 4*k + 1. Let n be q(-3). Suppose 0 = 5*g, h + g - 9 = n. What is the remainder when 37 is divided by h?
11
Let r(w) = w**3 + 13*w**2 + 9*w + 9. Let c(b) = -b**3 - 6*b**2 - 4*b - 4. Let d(q) = 7*c(q) + 3*r(q). Calculate the remainder when 61 is divided by d(-2).
19
Suppose 5*f - 1 = 14. Suppose -4 = -f*s + 2*s. Suppose -3*o = -s*k - 65, o + o + k - 36 = 0. What is the remainder when o is divided by 10?
9
Suppose -3*h = -2*j + 67 - 162, -4*h - 5*j = -119. What is the remainder when 123 is divided by h?
30
Let n(d) = -d + 3. Calculate the remainder when n(-2) is divided by 3.
2
Suppose 0 = -0*f - 4*f + 88. Calculate the remainder when f is divided by 6.
4
Suppose -a = -15 - 24. Calculate the remainder when 115 is divided by a.
37
Suppose -2*v - 2*v = 4. Let p(j) = 8*j**2 - j - 1. Calculate the remainder when p(v) is divided by 5 + (0 + 1)*-2.
2
Let x = 91 + -34. Calculate the remainder when x is divided by 16.
9
Suppose y = 5*b + 26, -5*b = y + 5 + 19. Let j(m) = 2*m**2 + 8*m + 7. Calculate the remainder when 32 is divided by j(b).
15
Suppose 5*s = 13 + 27. What is the remainder when s is divided by 2?
0
Let r(i) = i**3 - 8*i**2 + 9*i - 1. Let t be (9 - (-1 + 3))/1. What is the remainder when r(t) is divided by 5?
3
Let g be 85/20 - (-6)/8. Suppose 4*w - 10 = g*u, 3*w + 12 = -3. Let h(m) = -2*m + 1. Calculate the remainder when h(u) is divided by 5.
3
Let c = 2 + 5. Let d(f) = -3*f - 5. Let n(p) = 3*p + 5. Let t(h) = -2*d(h) - 3*n(h). What is the remainder when t(-6) is divided by c?
6
What is the remainder when -3 - 75/(-3) - 1/1 is divided by 5?
1
Let x = 12 + -10. Suppose -4*z = -i - x*z + 18, -3*z = -2*i + 38. Calculate the remainder when 86 is divided by i.
20
Suppose 2*f - 146 = -5*n + 3*f, 3*f + 18 = n. Calculate the remainder when 7/(-21) - 58/(-3) is divided by (n/(-4))/(3/(-4)).
9
Let q(b) = 20*b**2 - 2*b + 1. Suppose -3*m - 3*y = 0, 5*m + 14 = 3*m + 5*y. What is the remainder when q(m) is divided by 22?
19
Suppose 15 = z + 4*z. Calculate the remainder when 8 is divided by z.
2
Suppose -z = -4*z + 4*w + 17, -22 = -3*z - w. Calculate the remainder when 13 is divided by z.
6
Let u be 3 + (5 - 2 - 6). Suppose u = 2*c + s - 53, -c - c + 4*s = -28. Let v = c - 12. Calculate the remainder when v is divided by 7.
5
Let a(i) = -i**3 - 10*i**2 - 10*i - 11. Let v be a(-9). Calculate the remainder when 25 is divided by -6*((-21)/6 - v).
7
Let r(m) = m**2 - 2*m + 1. Let l be r(3). Suppose 40 = 2*n - l*b, 4*n - 161 + 41 = -2*b. Calculate the remainder when n is divided by 10.
8
Let l(m) = m**2 - 4*m - 25. Calculate the remainder when l(11) is divided by 9.
7
Let j = -78 + 123. What is the remainder when j is divided by 16?
13
Let i(u) = u**3 - 8*u**2 - 10*u + 3. Let o be i(9). Let s(y) = -y**2 - 6*y + 2. Calculate the remainder when 7 is divided by s(o).
1
Let n be 40/25*5/2. Suppose -32 = -2*d - n*g, g = 2*d - 0*g - 22. What is the remainder when 4 + -5 + -1 + 24 is divided by d?
10
Suppose 20 = 5*i - 3*i. What is the remainder when i is divided by 6?
4
Suppose -5*c - 2*h + 1088 = 0, -4*c - 2*h = h - 876. Suppose 5*l = 2*l - c. What is the remainder when 46 is divided by ((-2)/4)/(3/l)?
10
Calculate the remainder when (2 - (-16 - 3)) + -4 is divided by 5.
2
Let a(k) = -k**3 + 9*k**2 + 2*k + 8. Suppose 0 = 2*u + 5*r + 31, 0 = -2*u + 3*r - 15 - 8. What is the remainder when a(9) is divided by -2 - -4 - (u + 1)?
12
Suppose 2*h = 29 - 3. What is the remainder when h - -4*3/(-6) is divided by 6?
5
Let p = -18 + 24. Calculate the remainder when 22 is divided by p.
4
Let p be (2/(-3))/((-3)/153). Suppose 0 = -5*d - 14 + p. Let s(y) = y**3 - 6*y**2 + 5*y + 6. Calculate the remainder when s(5) is divided by d.
2
Let z(q) = -q + 12. Let l be z(10). Suppose -w - 41 = -m - 16, 5*w - 50 = -l*m. What is the remainder when m is divided by 9?
7
Let d = -33 + 60. What is the remainder when 102/5*(-25)/(-10) is divided by d?
24
Let d(o) = -o**3 + 11*o**2 + 2*o - 3. Calculate the remainder when 54 is divided by d(11).
16
Let x be (0 - -2) + 57 + -4. Suppose 73 = 2*u - r, -r = 2*u + 4*r - x. Calculate the remainder when u is divided by 18.
17
Calculate the remainder when 6/2*(-29)/(-3) is divided by 10.
9
Let l be (-8)/12*(-1 + -8). Let p(z) = z**2 - 5*z + 3. Calculate the remainder when p(l) is divided by 4.
1
Let y(f) = 6*f**2 - 4*f - 4. Suppose -5*t + 7 = -3. Suppose -t*g - 3*g - 15 = 0. What is the remainder when y(g) is divided by 16?
14
Let l = 2 + -17. Let p = -8 - l. Calculate the remainder when 11 is divided by p.
4
Let y = -100 - -129. What is the remainder when 104 is divided by y?
17
Let c = -19 - -64. Calculate the remainder when 86 is divided by c.
41
Suppose -7 = 2*d + 5*p, 2*p - 1 = -3. Let q = d - 0. Let t = 28 - q. Calculate the remainder when t is divided by 10.
9
Calculate the remainder when 19 is divided by (2 - 9/2)*(5 - 7).
4
Calculate the remainder when 129 is divided by 1/(-1) - (-68)/2.
30
Let c(f) be the second derivative of f**4/12 + 3*f**3/2 + 2*f**2 - f. Let g be c(-9). Suppose -g*v = -0 - 32. Calculate the remainder when 22 is divided by v.
6
Let x(g) = -2*g**2 + 3*g**3 - 2*g**3 + 0*g - 1 + 3*g. Suppose 4 = a, -20 = 2*i - 4*i - 4*a. Calculate the remainder when x(i) is divided by 2.
1
Suppose -2*a = -5*a - 18. Let t be ((-3)/a)/(-1)*0. What is the remainder when t/1 + 9/9 is divided by 1?
0
Let j = -6 + 12. Let f(b) = -12*b - 7. Let y(i) = -4*i - 2. Let q(x) = 2*f(x) - 7*y(x). Calculate the remainder when j is divided by q(1).
2
Calculate the remainder when (-1)/(-2)*150 + 0 is divided by 19.
18
Calculate the remainder when 62 is divided by 4 + (4 - -11) + -3.
14
Suppose -16 = r + 3*m - 7, 0 = -r - 5*m - 17. Let d(l) = l**3 + l**2 - l - 3. Calculate the remainder when d(r) is divided by 11.
8
Suppose -15 = -3*b - 2*b. Let w = 8 + -6. Suppose -w = -b*y + 16. Calculate the remainder when 11 is divided by y.
5
Suppose 0*l + 30 = 2*l. Suppose 43 = -5*g - 2*r + 172, -l = 5*r. What is the remainder when 106 is divided by g?
25
Let f = -12 - -74. Suppose -f - 28 = -3*l. Suppose -7 = 3*r - 55. Calculate the remainder when l is divided by r.
14
Suppose -5*b - 4*g = -557, -b = -5*g - 15 - 79. Let t(z) = 13*z - 63. What is the remainder when b is divided by t(7)?
25
Let k = 12 - 4. What is the remainder when 38 is divided by k?
6
Let w = 60 - 26. Suppose -3*v = -m - 30, 18 + w = 5*v - m. Calculate the remainder when 20 is divided by v.
9
Let d(h) = -h + 7. Suppose -5*z = -z + 24. What is the remainder when 38 is divided by d(z)?
12
Let a(y) be the third derivative of -y**4/3 - y**3/6 - 3*y**2. What is the remainder when a(-4) is divided by 8?
7
Let r(v) = v + 2. Let x(c) = -c - 3. Let j(l) = -6*r(l) - 5*x(l). What is the remainder when 13 is divided by j(-4)?
6
Let c = -12 + 32. Calculate the remainder when c is divided by 11/(2/6*(2 + 1)).
9
Suppose 5*s - 2*s = 27. Calculate the remainder when 43 is divided by s.
7
Suppose -11 = -11*o + 121. Calculate the remainder when o is divided by 5.
2
Suppose -109 - 276 = 5*r - a, 2*a - 308 = 4*r. Let c = -41 - r. Calculate the remainder when c is divided by 20.
16
Let w(q) = -14*q - 5. What is the remainder when w(-4) is divided by 3/(-6) + (-53)/(-2)?
25
Suppose 2*m = 3*m - 61. Calculate the remainder when m is divided by ((-2)/3)/(24/(-756)).
19
Suppose 6 = 3*o - p, -3*o - 5*p = 2*o - 10. Suppose 82 = 2*w + h, -5*w - 3*h + 200 = o*h. What is the remainder when w is divided by 15?
12
Let m = -13 + 9. Let p(u) = -u**3 - 2*u**2 + 3. Suppose -3*q = -6*q + 36. Calculate the remainder when p(m) is divided by q.
11
Let u(a) = -3*a**3 - 3*a**2 - 2*a - 4. What is the remainder when u(-3) is divided by (-2751)/(-147) - (-4)/14?
18
Let x(i) = -i**3 + 25. What is the remainder when 46 is divided by x(0)?
21
Suppose -5*o + 0*g + 4*g = -585, o - 98 = -3*g. What is the remainder when o is divided by 29?
26
Suppose 2*d - v + 123 = 4*d, 9 = -3*v. Calculate the remainder when d is divided by 22.
19
Suppose 5*i - 9 - 11 = 0. Suppose -13 = -5*n + 2. Let a = 10 + n. Calculate the remainder when a is divided by i.
1
Calculate the remainder when (3 - 2)/(2/50) is divided by 9.
7
Let u(t) = -t**2 - 8*t + 3. Let c be u(-8). Let f(h) = 3*h**2 - 2*h - 1 - c - 2