?
2
Suppose -20*y = -19*y - 73. What is the remainder when y is divided by 25?
23
Suppose 0 = -5*t + 32 + 23. What is the remainder when 76 is divided by t?
10
Let r(x) = 3*x**2 - 5*x + 4. What is the remainder when r(2) is divided by 4?
2
Let q(u) = -21*u - 2. Let v(h) = h - 1. Let x be v(-1). What is the remainder when q(x) is divided by 2/8 - (-110)/8?
12
Let c = 133 + -58. Let z(b) = b**3 + b**2 - b - 47. Let u be z(0). Let t = u + c. Calculate the remainder when t is divided by 10.
8
Suppose 3 = 2*g - 5, -5*g - 43 = -3*u. What is the remainder when 52 is divided by u?
10
Let k(n) = -14*n - 1. Suppose -3*z + 51 = -33. Suppose 0 = -4*i + 2*i + z. What is the remainder when k(-3) is divided by i?
13
Suppose 0*n = -3*n + 4*q + 8, -q - 4 = -n. What is the remainder when 61 is divided by -32*-2*2/n?
13
Let k = -59 - -89. What is the remainder when k is divided by (-34)/(-4) + 15/6 + -3?
6
Let b(q) be the third derivative of -q**4/8 + 7*q**3/6 - q**2. What is the remainder when b(-8) is divided by 8?
7
Let u be 0 + 4 - 6/3. Suppose u*r - 115 = -3*r. Suppose -5*a = -6*m + 3*m + 145, 5*m + a - 223 = 0. What is the remainder when m is divided by r?
22
Let g = -29 - -32. Calculate the remainder when g is divided by 3.
0
Suppose -5 = 4*i - 1. Suppose -3*m + 69 = 3*o, m = -3*o - 0*m + 75. What is the remainder when o is divided by ((-9)/(-2))/(i/(-2))?
8
Let y(i) = 3 - i + 0*i - 2. Suppose -1 - 15 = 2*l. Calculate the remainder when y(l) is divided by 4.
1
Let r be 2/(-1) + 0 - -1. What is the remainder when (2 - 9)/(5/(-25)) is divided by (-1)/(r/9) - 0?
8
Let j(o) = 1 + 3*o**2 + 2*o**2 + 1 - o. Let v be j(2). What is the remainder when (3 - 5)*v/(-2) is divided by 11?
9
Suppose -18 = -5*g + 117. Calculate the remainder when 53 is divided by g.
26
Let w = -5 - -23. What is the remainder when 70 is divided by w?
16
Let g = 5 + -1. Let x(h) = 11*h**2 - 3*h + 5*h + h**3 - 5*h**2. What is the remainder when x(-5) is divided by g?
3
Suppose 0 = -2*d - h - 1, -2*d + 0*d + 2*h - 16 = 0. Let x(w) = -2*w - 3. What is the remainder when 7 is divided by x(d)?
1
Suppose 4*r + r = 115. Suppose -u + 10 + 12 = 4*d, 3*d = -3*u + 12. Calculate the remainder when r is divided by d.
5
Let b = 47 - 14. Let g(r) = r**3 + 6*r**2 + 2*r - 1. Let x be g(-6). Let k = 22 + x. Calculate the remainder when b is divided by k.
6
Let t(p) = -p + 9. Let u be t(8). Let z(y) be the first derivative of 2*y**2 + y + 3. Calculate the remainder when 13 is divided by z(u).
3
Let d = 26 - 22. Suppose -5 = -l - 2. Suppose 2*z = 3*z - l. Calculate the remainder when d is divided by z.
1
Suppose -2*i - 44 = -122. What is the remainder when i is divided by 10?
9
Calculate the remainder when (2/(4/(-19)))/((-1)/2) is divided by 8.
3
Let a = 78 - 62. Calculate the remainder when 24 is divided by a.
8
Suppose q + 2*g = 13, -14 = 3*g - 2. Suppose -4*v + 8*v = -i + 4, -i + 11 = -3*v. What is the remainder when q is divided by i?
5
Let t be ((-1)/(-3) - 0)*60. What is the remainder when 23 is divided by (3 - 1)/(t/90)?
5
Let y(w) = w**2 + 6*w + 6. Calculate the remainder when 16 is divided by y(-6).
4
Suppose 20 = 2*s - 0*s. Let m(c) = -c**2 + 5*c + 8. Let t be m(6). Suppose -2*q = -3*a - 27, t + 13 = 5*a. What is the remainder when q is divided by s?
8
Let w be (0/2)/((-3)/(-3)). Let s(a) = a**2 + 3. Calculate the remainder when 6 is divided by s(w).
0
Let n(z) = z - 3. Let r be ((-1)/(-3))/(2/30). What is the remainder when 5 is divided by n(r)?
1
Let o(h) be the first derivative of -4*h**2 + 3. What is the remainder when o(-2) is divided by 9?
7
Let t = -171 + 175. What is the remainder when 51 is divided by t?
3
Let g(x) = -x**3 - 6*x**2 - 9*x - 2. Let z be g(-6). Suppose 83 = 5*y - z. Calculate the remainder when y is divided by (-1 - (-15 - 0)) + 0.
13
Let n(g) = -3*g - 3. What is the remainder when n(-13) is divided by 19?
17
Suppose 0 = 17*k - 14*k - 264. What is the remainder when k is divided by 18?
16
Suppose x + 6 = -0*x - 4*y, x + 2*y = 0. Suppose n - x*n = -3*d - 4, -2*d = n + 20. Let s(b) = -2*b - 3. Calculate the remainder when 38 is divided by s(d).
12
Suppose -o + 5 = 3. What is the remainder when 4 is divided by o?
0
Let z(k) = -k + 10. Calculate the remainder when 52 is divided by z(-8).
16
Suppose -16 = -s - 3*q, -s + q - 1 + 21 = 0. Suppose -f + 2*p + 4 = -2, -4*f + p + 38 = 0. What is the remainder when s is divided by f?
9
Let m(l) = -2*l + 3. Suppose r = 5*r - 32. What is the remainder when m(-5) is divided by r?
5
Suppose f + 9 = j, 5*j - f = -3*f + 80. Calculate the remainder when 39 is divided by j.
11
Let u = 12 + 22. Suppose -4*w + 185 = w. Suppose -5*g + 24 + w = s, -g + 5*s + 7 = 0. Calculate the remainder when u is divided by g.
10
Suppose -2*a + 12 = -a. Calculate the remainder when 21 is divided by a.
9
Suppose -2*t - 3*x - 33 = 0, -29 = 5*t - 4*x + 19. Suppose -5*g = -3*k + 12, -3*g - 4 = -0*k - k. Calculate the remainder when (-8)/t + 62/6 is divided by k.
3
Suppose 4*o = 5*b - 296, 3*o - o - 272 = -5*b. Suppose -2 = 3*f - b. Calculate the remainder when f is divided by 7.
4
Suppose 43 = 5*t - 32. What is the remainder when t is divided by 6?
3
Let x = 4 - 2. Suppose -4*d + 9 = d - 4*j, d - 5*j - 6 = 0. Let i = d + x. Calculate the remainder when 4 is divided by i.
1
Let o(m) = -m**3 - 3*m**2 + m + 4. Suppose -2*l - 3*r = -14, -16 - 8 = -2*l + 2*r. What is the remainder when l is divided by o(0)?
2
Let o be -1 - (-6*2 + 1). Let j = 55 + -54. What is the remainder when 19 is divided by o*j + 0 + -3?
5
Let k(t) = -3*t - 67. What is the remainder when 67 is divided by k(-27)?
11
Suppose 448 = -2*k - 2*k. Calculate the remainder when k/(-5) - 12/30 is divided by ((-12)/10)/(1/(-10)).
10
Calculate the remainder when 67 is divided by (-4)/(-8 + 4) - -16.
16
Suppose -4*a + 2*i = -14, 0 = -3*a - i + 3*i + 9. Suppose -3*r + a*q = -30 - 75, 3*r - 84 = -2*q. Calculate the remainder when r is divided by 11.
8
Suppose -4 = -4*b - 16. Let p = 30 - 13. What is the remainder when p is divided by ((-3)/(-5))/(b/(-45))?
8
Let m = -15 - -46. What is the remainder when 58 is divided by m?
27
Let k(i) = i**3 + 4*i**2 - 5*i + 3. Let b = 3 + 1. Suppose -j = j - b. Calculate the remainder when k(-5) is divided by j.
1
Suppose 2*c = -5*y + 46, -c + y = -3*y - 23. What is the remainder when 67 + (4/(-26) - (-55)/(-65)) is divided by c?
20
Let s = 13 - -9. Let n be (4/(-2))/((-4)/10). Let g(v) = -v**2 + 8*v - 3. What is the remainder when s is divided by g(n)?
10
Let c = -42 + 61. Let s(r) = 2*r**2 + 4*r + 4. What is the remainder when c is divided by s(-3)?
9
Suppose 2*o = 6*o. Let u be o - (-1)/3*0. Suppose -5*b + 28 + 87 = u. What is the remainder when b is divided by 12?
11
Let w(k) = 2*k - 4. Let m be w(3). Suppose -272 = -5*h - 3*n, 3*h - 2*n - 44 = m*h. What is the remainder when h is divided by 18?
16
Let g(x) = x**3 - 10*x**2 - 11*x + 16. Let z be g(11). Suppose 3*r + r = z. What is the remainder when r is divided by 3?
1
Let u = 912 + -807. Calculate the remainder when u is divided by (2 + -9)*72/(-14).
33
Let a = 23 - 16. Calculate the remainder when 13 is divided by a.
6
Suppose 5*z - 2*l = 79 + 127, -z - 3*l = -48. Let g = z + -27. What is the remainder when ((-3)/(-6))/(2/112) is divided by g?
13
Suppose -4*m - 4 = 5*g, -m - 5*g + 1 = -2*m. Calculate the remainder when 34 - m - (-2 + 3) is divided by 12.
10
Let t(f) = 25*f - 89. Let p(d) = -11*d - 3. What is the remainder when p(-4) is divided by t(4)?
8
Suppose 2*y = 4*l - 176, -20 = -l + y + 24. What is the remainder when l is divided by 24?
20
Let z = -30 - -46. Suppose -5*c + 11 = -149. Suppose 29 = o - c. What is the remainder when o is divided by z?
13
Suppose 0*i - 4*i + 184 = -t, 2*i = -5*t + 70. What is the remainder when i is divided by 6?
3
Let w(u) = 2*u - 1. Let m be w(6). Let c(o) = o**3 - 11*o**2 + 2*o - 16. Let q be c(m). What is the remainder when 3/2 + 69/q is divided by 7?
6
Let w = 52 + -22. Suppose -3 = -4*m + 61. Calculate the remainder when w is divided by m.
14
Let h = -7 - -26. Let s(q) = 2*q + 4*q**2 + 0 - q**3 + 0 - 2. Calculate the remainder when s(-3) is divided by h.
17
What is the remainder when (-244)/10*20/(-8) is divided by 16?
13
Let g(r) = 1 + 3*r - 7 + 0. Calculate the remainder when 1