Suppose -2*r + 2 = -3*y + 17, 0 = y + 5*r - 5. Suppose y*f + 18 = 3*i - 24, 24 = 4*i + 4*f. Calculate the remainder when 16 is divided by i.
7
What is the remainder when (-34)/(-2) - (-6)/(-2) is divided by 9?
5
Calculate the remainder when 16 is divided by (-95)/(-35) + (-4)/(-14).
1
Suppose 3*u = 2*s - 14, -4*u + 2*s = s + 17. Calculate the remainder when u*(-212)/(-32)*-2 is divided by 14.
11
Suppose -2 = 3*o - 8. Let n = 0 + o. Calculate the remainder when 4 is divided by n.
0
Let m = -32 + 28. Let p(s) be the second derivative of -s**3/2 + s**2/2 - s. Calculate the remainder when 36 is divided by p(m).
10
Suppose 4*c = v - 2*v + 18, -2*c + 2*v = -4. Suppose 5*i - 6 = c. Suppose f - 5*y - 14 - 11 = 0, i*f - 29 = 3*y. What is the remainder when 28 is divided by f?
8
What is the remainder when 78 is divided by (-12 + 0)*(-44)/33?
14
Let k = 122 - 23. What is the remainder when k is divided by 26?
21
Suppose 3*n - 3*x - 213 = 0, 3*n - 20 = -3*x + 193. What is the remainder when n is divided by 8?
7
Let t be (-1)/(-6) + 750/36. Suppose 2*x + x - t = 0. What is the remainder when 11 is divided by x?
4
Suppose p + 39 = 4*p. Let d = 16 - p. What is the remainder when 5 is divided by d?
2
Suppose d = 3*z - 247, 4*z = z - 3*d + 255. What is the remainder when z is divided by 14?
13
Let h(o) = -5*o + 1. Let u be h(1). What is the remainder when (10/4)/(1/14) is divided by 114/9 - u/(-6)?
11
Let q = 32 + -19. What is the remainder when q is divided by 7?
6
Let d(n) = n - 2. Let w(z) = z + 2. Let v be w(5). What is the remainder when 11 is divided by d(v)?
1
Let m = -24 - -30. Calculate the remainder when 12 is divided by ((-2)/m)/((-2)/42).
5
Suppose 4*a + 5*x = 58, 0*a - 3*x = -4*a + 42. What is the remainder when (-3)/(48/(-44))*8 is divided by a?
10
Suppose -3*i = -i - 4. What is the remainder when (4/6)/(1/3) is divided by i?
0
Suppose b + 2*b = 39. Let s be 80*(0 - (-2)/2). Suppose -q - 4*w = -52, 0*q + s = 2*q + 2*w. What is the remainder when q is divided by b?
10
Let o(l) = -4*l - 5. Suppose 0*i + 5*i - 150 = 0. Calculate the remainder when i is divided by o(-4).
8
Suppose -7*m = -4*m - 6. Let i = m + 10. What is the remainder when 45 is divided by i?
9
Suppose g + 2*g = 6. Suppose 0*j = -4*j + 4*m + 44, 5*j - 47 = m. Calculate the remainder when j is divided by (-3)/((-9)/15) - g.
0
Suppose 0*h - 2*h = 40. Let b(o) = -2*o**2 + 3*o - 2. Let f be b(3). Let s = f - h. What is the remainder when 25 is divided by s?
7
Suppose -t + 5 = 0, 0*o + 83 = o - 2*t. What is the remainder when o is divided by 16?
13
Let h(l) = 39*l**2 - l - 1. Let d = 36 + -17. What is the remainder when h(1) is divided by d?
18
Let w(b) = -3*b + 5. Let a(z) = -6*z + 10. Let p(y) = 2*a(y) - 5*w(y). What is the remainder when 28 is divided by p(5)?
8
Suppose 3*m - 36 = 30. Let o = -11 + 19. Calculate the remainder when m is divided by o.
6
Let w be ((-2)/4)/((-2)/(-4)). Let n be (5 + -1)*-1 + w. Calculate the remainder when (-40)/(-2) + (n - -3) is divided by 10.
8
Let s = -82 + 10. What is the remainder when -2 - 0 - 1*s is divided by ((-8)/3 - -2)*-36?
22
Suppose -f = -5 + 3. Let n = 20 - -2. What is the remainder when n is divided by 1 - (-12 + f/2)?
10
Let g = -80 + 266. What is the remainder when g is divided by 47?
45
Suppose 2*g - 3*v = -0*g + 8, -5*g + 20 = 5*v. Suppose -k + 3*q = -q - 29, -g*k + 4*q = -68. What is the remainder when 24 is divided by k?
11
Let u(l) = 8*l - 4. Let w be (-50)/4*(13 + -31). Suppose -4*m + i = -w, -i = 5*m - 2*i - 282. Calculate the remainder when m is divided by u(3).
17
Let b(a) = -a**2 + 10*a + 14. Let l be 179/4 - 1/(-4). Suppose 4*z = -13 + l. Calculate the remainder when z is divided by b(11).
2
Let r(z) = -z**2 - 8*z - 1. Let n = -4 + -2. What is the remainder when r(n) is divided by 6?
5
Suppose -3*t - 262 = -5*j - t, -2*j - 3*t + 120 = 0. Let c = 32 - 13. What is the remainder when j is divided by c?
16
Suppose -5 = -g, -4*g = -5*l - g. Suppose 21 = l*p - 2*p. What is the remainder when 38 is divided by p?
17
Let s(u) = 4*u**2 + 2*u + 1. Let o be s(-1). Let y = 7 - o. What is the remainder when 15 is divided by y?
3
Let z = -31 - -41. What is the remainder when 37 is divided by z?
7
Suppose u = -3*k - 0 - 1, -4 = 4*u - k. Let f(v) = -2*v + 1. Calculate the remainder when f(u) is divided by 1.
0
Let n = 72 - 48. Suppose -x + 5*a + 6 = 0, -5*x + 2*a = 4 + 12. Let r = n - x. Calculate the remainder when r is divided by 10.
8
Suppose 4*d - d - 9 = 0. What is the remainder when 7 is divided by d?
1
Suppose 2*p = 4*l, -5*p + l + 7 + 11 = 0. Suppose 2*x - 12 - p = 0. What is the remainder when x is divided by 5?
3
Let p(x) = -2*x + 39. Calculate the remainder when p(6) is divided by 7.
6
Suppose 6 = -0*c - c. Calculate the remainder when (4/c)/(1/(-57)) is divided by 98/5 - (-3)/((-45)/(-6)).
18
Let w(k) = -k + 3. Let u(d) = -d**2 - 4*d. Let z be u(-3). Let j be w(z). Suppose 2*a - 7 - 13 = j. Calculate the remainder when 18 is divided by a.
8
Let x = 6 - 2. Suppose -z + x*w - 2*w = 3, 3*w + 13 = 5*z. Suppose z*p - 7 = 4*p. What is the remainder when 13 is divided by p?
6
Suppose b + 2*b = -3*p + 165, 5*b = -2*p + 113. Suppose 2*c - 6*c + 3*h = -88, -p = -2*c + 4*h. Calculate the remainder when 36 is divided by c.
17
Suppose t = 2*q + 112, 3*q - 3*t = -2*t - 168. Let v = q - -78. Calculate the remainder when v is divided by 8.
6
Let u(h) = h**3 - 4*h**2 + h - 3. Suppose 0 = -5*s + 2*o + 3*o + 5, 3*s + 5*o = 11. What is the remainder when s is divided by u(4)?
0
Let k(o) = 7*o + 38. What is the remainder when 10 is divided by k(-5)?
1
Let i = 1 - -55. What is the remainder when 111 is divided by (15/(-6))/(-5)*i?
27
Let g(z) = 11*z + 6. Let f be g(6). Suppose -2*j = -6*j + f. Calculate the remainder when 34 is divided by j.
16
Suppose w = 12 + 6. What is the remainder when w is divided by 7?
4
Let a = 28 + -6. What is the remainder when a is divided by 8?
6
Let n = 101 + -31. Calculate the remainder when n is divided by -2*(1 + -6 + -4).
16
Let s(g) = g**2 - 16*g + 79. Calculate the remainder when 92 is divided by s(10).
16
What is the remainder when (1 - (6 + -4)) + 11 is divided by 4?
2
Let v(z) = -2 + z**3 - 5*z**2 + 1 + 4*z**2. Calculate the remainder when 2/7 - (-348)/7 is divided by v(3).
16
Let n(y) = y**2 - 7*y - 10. What is the remainder when n(12) is divided by (-111)/(-9) + (-4)/(-6)?
11
What is the remainder when (-2)/10 + (-431)/(-5) + 2 is divided by 15?
13
Let u(c) = -5 - 2*c - 2 + c**3 - 1 + 8*c**2. Let y(x) = -x**2 - 7. Let d be y(0). What is the remainder when u(d) is divided by 14?
13
Let k(n) be the second derivative of -n**3/3 - n**2 + n. Suppose -5*x + 16 = 4*s, 3*s + 15 = 3*x - 0. What is the remainder when x is divided by k(-2)?
0
Suppose 5*t - 4*p - 113 = 0, 3*t - 3*p = -2*t + 116. What is the remainder when t is divided by 7?
4
Suppose -5*n - 14 = -m, 0 = -4*m - 3*n + 12 - 2. Suppose 0 = l + 3*q - 13, 4*q = -4*l + 3*l + 15. What is the remainder when l is divided by m?
3
Let j(b) = -43*b + 2. Calculate the remainder when j(-2) is divided by 30.
28
Let m = -1 - -16. Calculate the remainder when 29 is divided by m.
14
Let p(l) = 2*l - 3*l**2 + 3*l**3 - 4*l**3 + 2 + 5*l**2. What is the remainder when 55 is divided by p(-2)?
13
Suppose 0*i - 5*i = -65. Suppose 0*u - 2*u + 2 = 0. Suppose -3*b - u = 4*j, -b + 2*b + 5*j = -15. Calculate the remainder when i is divided by b.
3
Suppose 17 + 7 = 4*c. Calculate the remainder when 11 is divided by c.
5
Let w(l) = 3*l**2 + 1. Let k be w(1). Suppose 2*o + 10 = k*r, -3*r - o + 9 = -1. Calculate the remainder when r is divided by 1.
0
Suppose 3*o + o = 1076. Suppose 3*f = -12 - 0, o = 5*g - f. Calculate the remainder when g is divided by 14.
11
Let j(h) = -h**2 + 8*h. What is the remainder when j(6) is divided by 4?
0
Let v(w) = -8*w. Suppose 4*n + 13 - 5 = 0. Let o be v(n). Let q = o - 10. Calculate the remainder when q is divided by 4.
2
Let m(u) = 30*u**2 + u + 2. Calculate the remainder when m(-1) is divided by 7.
3
Suppose -3*v = 2*v - 20. What is the remainder when 6 is divided by v?
2
Let h(z) = 4*z**2 + 3*z - 10. Let r(m) = m**2 + m. Let s(i) = -h(i) + 3*r(i). Let w be s(0). Calculate the remainder when (8/w)/(4/110) is divided by 8.
6
Let o = -133 - -141. What i