
6
What is the remainder when 38 - (-3 - (-4)/4) is divided by 11?
7
Suppose 2*j = 3*j + 1. What is the remainder when (1 + (-1)/j)*7 is divided by 5?
4
Let o(q) = -q**3 - 7*q**2 - 7*q + 8. Suppose -5*j + 9*j - 164 = 0. What is the remainder when j is divided by o(-6)?
13
Suppose -3*t + 6*t = 87. Calculate the remainder when t is divided by 10.
9
Let u be (2 - -1)/((-6)/(-8)). Suppose 0 = -0*v - 3*v + g + 292, -u*g + 481 = 5*v. Calculate the remainder when v is divided by 20.
17
Let m = 6 + -7. Calculate the remainder when 2 - (-36 - 3 - m) is divided by 14.
12
Let w(q) = q - 6. Calculate the remainder when 47 is divided by w(14).
7
Let g be 3/((9/(-69))/(-3)). Suppose 5*q - g = 2*q. Calculate the remainder when q is divided by 8.
7
Suppose u = 5*j - 0*j + 24, -u + 24 = j. Suppose 0*v + 35 = -5*v. Let o(q) = -q**3 - 6*q**2 + 5*q - 1. Calculate the remainder when u is divided by o(v).
11
Let v = 19 - -30. What is the remainder when v is divided by 26?
23
Let g = 4 + 68. Calculate the remainder when g is divided by 25.
22
Let d(o) = 2*o**2 - 16. What is the remainder when d(-5) is divided by 9?
7
Suppose 5*m + 15 = 0, 0 = 5*i + 2*m - 3 - 1. Suppose -2*z = i*q - 36 - 80, z - 5*q = 34. Calculate the remainder when z is divided by 11.
10
Suppose 0*i + 5*z = -4*i + 2, -3*i + 11 = -z. Let p(n) = 4*n - 1. What is the remainder when p(i) is divided by 6?
5
Let x = -30 + 42. Let k = -5 + x. Calculate the remainder when 12 is divided by k.
5
Let p be 1/(-2) + (-543)/(-6). Let g = p - 53. Suppose 4 = 3*o - 35. Calculate the remainder when g is divided by o.
11
Suppose 10*x - 42 = 4*x. Calculate the remainder when 32 is divided by x.
4
Suppose -10*g = -104 + 14. Calculate the remainder when 32 is divided by g.
5
Let x be 1 - (-1 + -1) - 22. Let g = x - -31. Calculate the remainder when 34 is divided by g.
10
Suppose 3*k - 260 = 193. What is the remainder when k is divided by 14?
11
Let s(q) = q**2 - 7*q + 32. What is the remainder when s(14) is divided by 19?
16
Suppose 5*i + 6 = d + 17, -3*d + 4*i = 0. Let n(l) = 4*l + 3. Calculate the remainder when 37 is divided by n(d).
18
Suppose 3*j + 64 - 175 = 3*l, -54 = 2*l + 2*j. Let s = -16 - l. Let z(d) = -6*d - 17. What is the remainder when z(-8) is divided by s?
15
Suppose 31 + 34 = 5*o. Let m be -1*-33*(-4)/2. Let w = -41 - m. What is the remainder when w is divided by o?
12
Suppose 3*q + 2*q = 60. Suppose -2*c + q = -84. Calculate the remainder when c is divided by 17.
14
Suppose 0*o = -o + 31. Suppose o = -5*n - 2*g, 5*n + 2*g = 3*g - 37. What is the remainder when (-2)/n + (-110)/(-7) is divided by 6?
4
Let b(m) be the second derivative of -m**5/20 + m**4/3 + 7*m**3/6 - 5*m**2/2 + m. Suppose -3*f = -2*f - 5. What is the remainder when b(f) is divided by 2?
1
Calculate the remainder when (8/3)/(4/144) is divided by 33.
30
What is the remainder when (5 + 0)*144/16 is divided by 16?
13
Suppose 5*r = 4*s + 22 + 63, -s = 2*r + 31. Let z = -16 - s. Calculate the remainder when z is divided by 3.
0
Suppose -d = 3*v + 6, 0 = -d - 4*v + 1 - 11. Calculate the remainder when (4/(-6))/(d/(-171)) is divided by 7.
5
Let u = -20 - -25. Suppose 6*j - u*j = 72. What is the remainder when j is divided by 15?
12
Suppose -4*y + 108 = 2*y. Calculate the remainder when 87 is divided by y.
15
Suppose -u - 5*b + 3*b + 1 = 0, u - 2*b + 3 = 0. Let k(q) = 3*q - 2. Calculate the remainder when 7/(21/144) + u is divided by k(6).
15
Suppose 2*k = -0*k + 6, -5*k + 10 = w. Let a(t) = t**3 + 6*t**2 - t - 1. What is the remainder when a(w) is divided by 11?
7
What is the remainder when ((-2)/6 - 0)*-177 is divided by (11 - (1 - 4)) + 1?
14
Suppose -w = -0*w - 30. Suppose -4*t - 2*s = -74, 2*t = -3*t - 4*s + 100. Calculate the remainder when w is divided by t.
14
Suppose 4*h - 3*t - 131 = 0, 5*h = -0*h - 2*t + 135. Calculate the remainder when h is divided by 8.
5
Suppose 0 = 3*i - i - 56. Suppose 3*c - 36 = -5*q, -5 = -4*q + 2*c + 15. What is the remainder when i is divided by q?
4
Let r = 75 + -51. Let x(a) = 11*a + 2. What is the remainder when x(4) is divided by r?
22
Suppose 186 = -2*d + 5*d. Let f = d + -34. Suppose -2*t + 21 = -9. Calculate the remainder when f is divided by t.
13
Suppose 5 = -c + 3. Let j be (c/7)/((-3)/21). Calculate the remainder when 14 is divided by j - 6/(2 + -3).
6
Suppose 3*q + 3*d = 17 + 31, -3*d - 43 = -4*q. Let m = 23 - q. Calculate the remainder when 39 is divided by m.
9
Let o(m) = 4*m**2 + 4*m + 5. What is the remainder when o(-3) is divided by 15?
14
Let h = -60 + 102. Suppose -3*t + 41 = 8. What is the remainder when h is divided by t?
9
Let a be -5*(8/(-20) - 0). Suppose a*x = 2*b - x - 17, -2*x = 2*b - 12. What is the remainder when 25 is divided by b?
4
Let f be (0 + 4)*1/2. Suppose f*w + 4*i + i = -6, 0 = 2*i. Let k(g) = 2*g**2 + 3*g + 2. What is the remainder when 21 is divided by k(w)?
10
Let h = -17 - -17. Suppose h = -l + 53 + 5. What is the remainder when l is divided by 12?
10
Let k(m) = -2*m**2 + 21*m - 4. Let j(a) = a**2 - 10*a + 2. Let y(c) = 5*j(c) + 2*k(c). What is the remainder when y(9) is divided by 7?
4
Let b(z) = -z**3 - z + 75. Let h be b(0). Let w = h - 34. Calculate the remainder when w is divided by 249/12 + 2/8.
20
Let o = 167 - 46. Let g = o - 57. What is the remainder when g is divided by 22?
20
Let s = 212 + -95. Let o(l) = 9*l**3 - l**2 - l + 2. Let c be o(2). Let x = s - c. What is the remainder when x is divided by 17?
15
Let r be 0*((-7)/(-3) + -2). Suppose 4*u - 18 = 2*b - 4, r = -2*u + 5*b + 3. Calculate the remainder when 14 is divided by u.
2
Let g(o) = 18*o**2 - 1. Calculate the remainder when g(1) is divided by 9.
8
Let r(o) = o**3 - 7*o**2 - o. Let w(c) = -2*c**3 + 15*c**2 + 2*c + 1. Let d(h) = 5*r(h) + 2*w(h). Calculate the remainder when d(6) is divided by 17.
15
What is the remainder when 49 is divided by 13 + -1*0/(-4)?
10
Suppose -13 = -5*a + 7. Let y(f) = 11*f - 5. Calculate the remainder when y(a) is divided by 21.
18
Suppose 0 = -0*r - 4*r - 3*j + 17, -4*r - 5*j + 23 = 0. Suppose -128 = -4*a + 4*g, -a + 4*g = r*g - 29. What is the remainder when a is divided by 12?
11
Let p = -61 + 154. Calculate the remainder when p is divided by 19.
17
What is the remainder when 33 is divided by ((-9)/(-6))/(22/(-24) - -1)?
15
Let v(k) = k**3 + 3*k**2 - 5*k - 2. Let s(w) = -w + 1 - 2 + 2*w**2 - w**2. Calculate the remainder when v(-3) is divided by s(3).
3
Suppose 7*w = 8*w - 7. What is the remainder when (1/1)/(1/11) is divided by w?
4
Suppose 2*d + 3*x - 25 = d, -5*d + x = -109. Calculate the remainder when 1 - (0 + 1 - 85) is divided by d.
19
Suppose 4*n - 6 = -4*g + 2*n, -g = -2*n + 6. Suppose 5*o - 50 = 2*y, g*o - y = -3*o + 30. Calculate the remainder when 18 is divided by o.
8
Let r be -181 - (-1 + 1) - -3. What is the remainder when 37 is divided by r/(-14) - (-2)/7?
11
Suppose 4*z + 270 = 13*z. What is the remainder when 84 is divided by z?
24
Suppose -3*o + 54 + 12 = 0. Calculate the remainder when 87 is divided by o.
21
Let k = -211 - -463. Suppose k = 5*n - n. Calculate the remainder when n is divided by 16.
15
Suppose 0*v - 18 = -v + 2*o, -3*o = -9. Suppose 3*a = 5*g + 264, -4*a - 2*g + 6*g + 360 = 0. What is the remainder when a is divided by v?
21
Suppose 4*s - 70 = -r, -4*s + 4*r + 72 - 12 = 0. What is the remainder when 65 is divided by s?
14
Suppose -3*o + 2*r + 28 = -o, -4*r + 4 = 0. What is the remainder when 29 is divided by o?
14
Let u(c) = -c**2 + 10*c - 12. Calculate the remainder when u(8) is divided by 2.
0
Let x(v) = -8*v**2 + v**3 + v + 6*v + 3 + 3. Let o be x(7). What is the remainder when 32 is divided by -1*-2*33/o?
10
Suppose 124 = -2*k + 8. Let o = 84 + k. What is the remainder when o is divided by 14?
12
Let p(f) = -f**2 + 7*f - 1. Suppose j + 2 = 5. Calculate the remainder when p(3) is divided by j.
2
Let q = 184 + -83. What is the remainder when q is divided by 17?
16
Let n = 112 + -44. Calculate the remainder when n is divided by 14.
12
Let r be 26/7 - (-2)/7. Let t be (0 - 1)/(r - 3). Let h = t + 2. What is the remainder when h is divided by 1?
0
Suppose -3*d + 8 = -d. Suppose 0*r + d*h + 30 = r, 36 = 2*r - 2*h. What is the remainder when r is divided by 8?
6
Suppose 15*l = 10*l + 10. Calculate the remainder when 5 is divided