uppose 8*m - 32 = 6*m. Calculate the remainder when 54 is divided by m.
6
Suppose -4*s + 24 = -6*h + 2*h, 5*s = 4*h + 27. Calculate the remainder when 25 is divided by s.
1
Suppose 0*s = -6*s + 48. Calculate the remainder when 86 is divided by s.
6
Let c(v) = v - 1. Suppose 4*b - 4*z - 44 = 0, -2*b = b + 3*z - 9. What is the remainder when 15 is divided by c(b)?
3
Let t(p) = -p + 4. Let r be t(0). Let x be ((-9)/(-6))/(2/r). What is the remainder when 17 is divided by ((-3)/5)/(x/(-45))?
8
Let u be 1/(-4) - (-25)/4. Suppose 4 = 3*l + l. Let m = l + u. What is the remainder when m is divided by 3?
1
Suppose 0*j = 4*j - 16. Let k(t) = -3 + 0 - 4*t**2 + j*t + 6 + t**3. What is the remainder when k(4) is divided by 7?
5
Let w(a) = 4*a**3 - 13*a**2 + 10*a - 22. Let h(t) = -t**3 + 4*t**2 - 3*t + 7. Let f(y) = -7*h(y) - 2*w(y). Calculate the remainder when 3 is divided by f(-3).
0
Suppose -2*w = -24 + 10. Calculate the remainder when ((-40)/(-6))/((-1)/(-3)) is divided by w.
6
Suppose 4*y = 4*r + 4, -2*y + 3*r - 10 = -2*r. What is the remainder when 13 is divided by y?
3
Suppose 5*q - 20 = 0, 4*a + 5*q = 39 + 61. Suppose 0 = -r + 2*r - a. What is the remainder when r is divided by 11?
9
Let z(x) be the third derivative of -x**4/8 - x**3/3 - x**2. What is the remainder when 12 is divided by z(-3)?
5
Let g(s) be the first derivative of s**4/4 - 4*s**3/3 + 3*s**2 + 7*s - 1. Calculate the remainder when g(5) is divided by (30/20)/(6/64).
14
Suppose 3*n - 5*a = 34, -28 = -4*n + 3*a + 10. Let i = -20 - -25. Calculate the remainder when n is divided by i.
3
Suppose 3*b - 21 = 3. Let f(r) = r**3 - 8*r**2 + 6. What is the remainder when (0 + -3)*(0 + -3) is divided by f(b)?
3
Suppose 17*j - 20*j + 111 = 0. Calculate the remainder when j is divided by 19.
18
Suppose 46 = -5*z + 146. Calculate the remainder when (114/4)/((-2)/(-4)) is divided by z.
17
Let k(j) = -j**3 - j + 6. Suppose 8 - 24 = -4*b. Suppose 5*a = b*w, -4*w + 2*w + a = 0. Calculate the remainder when 10 is divided by k(w).
4
Let z = -87 + 144. Let w(n) = 2*n**2 - 8*n + 5. Calculate the remainder when z is divided by w(5).
12
Let i(q) = q + 2. Let s = -4 - -7. Let h(v) = -2*v - 5. What is the remainder when i(s) is divided by h(-4)?
2
Let t(x) = -x**2 - 2*x + 33. Calculate the remainder when t(-5) is divided by 10.
8
Let f be (-49)/(-5) - 7/(-35). Let k = f - -8. Let o(v) = -v + 4. Calculate the remainder when k is divided by o(-3).
4
Let b = 2 + 32. What is the remainder when 101 is divided by b?
33
Suppose -r + 11 = g, -g - 4*g + 39 = 3*r. Let x = 45 + -30. Calculate the remainder when x is divided by r.
7
Let j = -17 + 21. Calculate the remainder when 18 is divided by j.
2
Let v(q) = -q**3 + 17*q**2 - 15*q + 5. Calculate the remainder when v(16) is divided by 11.
10
Suppose -5*o - 219 = -8*o. Calculate the remainder when o is divided by 19.
16
Suppose -4*l - 3*d + 117 = -0*d, 4*l - 120 = -4*d. Suppose -2*i + 28 = 2*i. Calculate the remainder when l is divided by i.
6
Calculate the remainder when 776/20 + 2/10 is divided by 21.
18
Let d = -9 - -18. Calculate the remainder when 15 is divided by d.
6
Let b(j) = -j**2 - 7*j - 2. Let y = 45 - 40. Calculate the remainder when y is divided by b(-6).
1
Let n be (3 - 8)*(-1 - 0). Suppose -n*l = -2*l - 39. Calculate the remainder when 25 is divided by l.
12
Calculate the remainder when 235 is divided by (3/3)/(-3 - (-534)/177).
58
Suppose -5 = -4*l + 7. Suppose -s + 3 = v - 2, -s = -5*v + 7. Let x = v + 0. Calculate the remainder when l is divided by x.
1
Suppose -82 = o - 2*o. What is the remainder when o is divided by 21?
19
Let q(s) = 2*s - 2. What is the remainder when 9 is divided by q(3)?
1
Let l be 1*(2 + -1)*5. Suppose l*s - 87 = 2*n, -2*n = 3*s - n - 50. What is the remainder when 1*1*-1 + 50 is divided by s?
15
Calculate the remainder when (3 + -9)/(-3*(-2)/(-64)) is divided by 11.
9
Let a(t) = -15*t**2 + t. Let b be a(-1). What is the remainder when 22 is divided by 2 - (-2 + b/2)?
10
Calculate the remainder when (3 - 2 - -3) + 10 is divided by 8.
6
Let w(u) = 3*u**3 - 4*u**2 - 6*u + 8. Let q(o) = -o**3 + o**2 + 2*o - 3. Let b(c) = 8*q(c) + 3*w(c). What is the remainder when 28 is divided by b(5)?
13
Suppose -2*x = -8, o + x + 61 = 6*o. Calculate the remainder when 47 is divided by o.
8
Suppose -4*g + 156 - 20 = 0. Let v = g - -31. What is the remainder when v is divided by 17?
14
Suppose -z = -4*q + 779, 0*q = -4*q - 2*z + 782. What is the remainder when q is divided by 50?
45
Suppose -7 = -v - 0*v. Let l = v - 4. Suppose 0 = -l*f - o - 3*o + 23, -f + 7 = o. Calculate the remainder when 13 is divided by f.
3
Suppose -4*i = -8, -r + 3*r - 8 = -i. Suppose -54 = -2*o - 4*p, 0 = r*o - 5*p + 14 - 73. Calculate the remainder when o is divided by (-12)/5*(-7 - -2).
11
Let p(m) = m + 5 + 0*m + m + 6*m**2 - 4. Let g be p(-2). Suppose 3*v + g = k, -2*k + 46 = 2*v - 7*v. Calculate the remainder when k is divided by 17.
16
Let p(j) = -j + 12. Calculate the remainder when 85 is divided by p(4).
5
Suppose 0 = -2*c - 2*s + 10, 2*s = -c + 3 + 6. Calculate the remainder when c is divided by (1 - 0) + (-1 - -1).
0
Let c = 13 + -10. Calculate the remainder when c is divided by 1.
0
Let q = -34 - -55. Calculate the remainder when 39 is divided by q.
18
Let b = 6 - 4. Suppose 0*i - b*i + 6 = 0. Suppose i*o + 2*o - 130 = 0. What is the remainder when o is divided by 14?
12
Let j(d) = d**3 - 5*d**2 + 4*d - 6. Let y be j(5). Let f(v) = 2*v - 1. Let p be f(1). Suppose y + p = z. Calculate the remainder when z is divided by 8.
7
Let a be (-144)/14 + 4/14. Suppose -10 = -3*b + 5. What is the remainder when (-76)/a + 2/b is divided by 3?
2
Suppose o - 2*t - 13 = 0, -4*o = -3*o + 2*t + 3. What is the remainder when 8 is divided by o?
3
Suppose 3*l + l + 3 = -5*b, 0 = -l - 2. Let d(h) = -h**2 - h + 2. Let x be d(0). Suppose -b = -x*w + 15. What is the remainder when 14 is divided by w?
6
Let d(k) = -9*k - 47. What is the remainder when d(-8) is divided by 21/(-2)*(-4)/3?
11
Suppose -33 = -6*l + 9. Suppose -16 = 2*v - 4*v. Suppose 28 - v = m. Calculate the remainder when m is divided by l.
6
Let a = -34 - -20. Let l = -7 - a. Calculate the remainder when 26 is divided by l.
5
Let y(g) = 2*g**2 - 4*g - 3. Let h be (-1 - 2)*2/(-3). Let b be ((-4)/(-3))/h*6. What is the remainder when y(b) is divided by 4?
1
Suppose -x - k = 2*k, -x + 16 = -5*k. Suppose -p = -0*p - 24. What is the remainder when p is divided by 126/10 - x/(-15)?
11
Let y = -10 + 63. Let p be 0 + -2 + 1 + y. Suppose -p - 33 = -5*o. What is the remainder when o is divided by 6?
5
Calculate the remainder when 34 is divided by (3/(-6) + -3)*(-42)/49.
1
Let r(x) = 2 - 3*x + x - 7. Suppose p = -3*y - 19, -5 - 2 = -y + 3*p. Calculate the remainder when 8 is divided by r(y).
3
Let y(x) = -x + 12. Let h be y(10). Let z = h + 2. Calculate the remainder when 15 is divided by z.
3
Let r(h) = 0*h + 0*h - 2*h + 7 - 4. What is the remainder when r(-6) is divided by 4?
3
Let u(m) = 2*m**2 - 5*m - 2. Let n be u(5). Let t = n - 6. Suppose -f - 2*w = -53, f - 2*f - w + 51 = 0. Calculate the remainder when f is divided by t.
15
Suppose -85 = 5*r - 2*v - 3*v, 0 = -5*r + 4*v - 83. Let s = -13 - r. Calculate the remainder when s is divided by 2.
0
Suppose 0 = -16*s + 4*s + 2472. What is the remainder when s is divided by 52?
50
Suppose -4*g = -3 - 9. Suppose 2*z - 29 = -g*o, -5*o + 55 = z + 4*z. What is the remainder when 18 is divided by o?
4
Suppose 0 = 8*h - 4*h - 140. What is the remainder when 104 is divided by h?
34
Let t(o) = -o**3 + 8*o**2 - 8*o - 1. Let b be t(7). Let q = b - -18. Suppose 3*f - q = 2*f. What is the remainder when 18 is divided by f?
8
Let y = -2 + 2. Suppose 0*w - w = y. Let t = w + 5. What is the remainder when t is divided by 2?
1
Let g(r) = r**3 - 8*r**2 - r + 8. Let k be g(8). Suppose -176 = -4*u + 2*v, -3*u + v + 134 = -k*u. Calculate the remainder when u is divided by 12.
10
Let o be (-5)/15 - (-32)/6. What is the remainder when (2 + (-4)/10)*o is divided by 3?
2
Let s be (2/5)/(6/(-180)). Let g = 1 - s. Calculate the remainder when 38 is divided by g.
12
Let j(h) = -h + 13. Let u be j(12). Calculate the remainder when 0 - u*(-8)/1 is divided by 3.
2
Suppose 3*a - 3 = 3. Suppose 3*m - 1 = 2. Su