- 2*l - 14 = 4*d. Suppose 12 = -d*q + 4*q. What is the remainder when 23 is divided by q?
5
Let b(n) be the second derivative of 1/2*n**2 + 2*n + 0 - 2*n**3. What is the remainder when b(-5) is divided by 16?
13
Let d(a) = -a**2 + 6*a + 5. What is the remainder when 35 is divided by d(4)?
9
Let c be (-2)/(-7) + (-489)/21. Let w = 45 + c. What is the remainder when 64 is divided by w?
20
Let b = -126 + 238. What is the remainder when b is divided by 19?
17
Let x = -38 - -56. Calculate the remainder when 33 is divided by x.
15
Let u = -6 - -8. Suppose u*w + 7 = 23. Calculate the remainder when 22 is divided by w.
6
Let l(w) = w**3 - 5*w**2 - 8*w - 15. What is the remainder when l(9) is divided by 16?
13
Let p(t) = -t**2 - 5*t + 1. Calculate the remainder when 12 is divided by p(-4).
2
Let f(b) = b + 53. Suppose -3 = -3*k - 6*n + 3*n, -4 = -2*k - 4*n. Let i be f(k). Let d = i + -31. What is the remainder when d is divided by 12?
10
Suppose s + 5*k + 9 = 2*s, 4*k - 16 = 0. Calculate the remainder when s is divided by 17.
12
Calculate the remainder when 59 is divided by 3 + 17/4*4.
19
Calculate the remainder when 5 + 15 - (-4 - -1) is divided by 6.
5
Suppose 23 = 5*m - 17. Calculate the remainder when 28 is divided by m.
4
Suppose 4*o + 0 - 24 = 5*w, -5*o - w + 30 = 0. What is the remainder when 16 is divided by o?
4
Suppose 158*h - 17 = 157*h. Calculate the remainder when 25 is divided by h.
8
Let a = -6 - 2. Let y = a + 12. What is the remainder when 15 is divided by y?
3
Let a(h) = 5*h - 20. What is the remainder when a(6) is divided by 3?
1
Let y = -10 + 15. Suppose -136 = -y*z + 99. Let j = -13 - -25. What is the remainder when z is divided by j?
11
Suppose -3*q = 5*g - 308, -307 = -3*q - g - 3*g. Calculate the remainder when q is divided by 26.
23
Let v = -7 - -12. Let z(s) = s**2 - 16*s - 8. Let a be z(15). Let i = 40 + a. What is the remainder when i is divided by v?
2
Let p = 50 - 46. Calculate the remainder when 13 is divided by p.
1
Let c be 22 + 1 - (-8)/8. Suppose f - 2*z - c - 20 = 0, -f + 3*z = -47. Calculate the remainder when f is divided by 13.
12
Let h = -38 - -52. What is the remainder when 53 is divided by h?
11
Let c = 0 + -2. Let f be 4/1*(-1)/c. Suppose f*m = 18 + 8. What is the remainder when m is divided by 5?
3
Suppose -2*p = p. Suppose 0 = -p*w - 2*w + 6. Suppose -3*o - 5*u = 0, 2*o - o + 2*u = -1. Calculate the remainder when o is divided by w.
2
What is the remainder when 124 is divided by (-3)/5 + 1792/70?
24
Let i(w) = w + 6. Let f be i(-10). Calculate the remainder when (-1 + f/(-6))*-9 is divided by 2.
1
Suppose 6*k - 4*k - 26 = -5*x, 4*x = 4*k + 4. Calculate the remainder when 19 is divided by k.
1
Suppose -3*t = -2*o - 14, 2*t + 2*o + 0*o = 16. What is the remainder when -1 - -2 - (-30)/t is divided by 3?
0
Suppose 3*k = -0*k + 30. Calculate the remainder when k is divided by ((-21)/(-7) - 3) + (3 - 0).
1
Let v = -5 - 1. Let w = v + 17. What is the remainder when 32 is divided by w?
10
Let c(h) = h**2 + 14*h - 5. Let w be c(-10). Let q = w - -92. Let f(l) = 4*l**2 - l - 2. What is the remainder when q is divided by f(2)?
11
Suppose -4*c + 19 = 3. What is the remainder when 2/c + 639/18 is divided by 13?
10
Suppose 0 = 2*t - 4*t + i - 1, -27 = -t - 5*i. Suppose p - 71 = -4*f + 48, 49 = t*f - 3*p. Let y = -23 - -33. Calculate the remainder when f is divided by y.
9
Suppose 3*d + 2*s - 18 = 0, s - 17 = -4*d - 4*s. Let y(u) = u + 14. Suppose -2*h - 3*a - 9 = 0, -3*a - 10 = -1. What is the remainder when y(h) is divided by d?
6
Suppose 5*i = 9 + 11. Let l(u) = 2*u**3 - 17*u**2 + 8*u + 15. Calculate the remainder when l(8) is divided by i.
3
Suppose -27 - 9 = -2*q. Suppose 15 = 21*u - q*u. What is the remainder when 8 is divided by u?
3
Suppose -4*q - 12 = -4*y, 0*q = -3*y - 3*q + 9. Suppose -2*b - 2*a = -144, 2*b = y*b - 2*a - 57. What is the remainder when b is divided by 17?
16
Let c(x) = -6*x**3 + x**2 + x + 1. Calculate the remainder when c(-1) is divided by 6.
1
Let h(z) = -z**2 + z + 4. Let w be (-10)/3*9/(-6). Suppose -5*f - 2*s - 6 = 0, -f + 5*s + w + 10 = 0. Calculate the remainder when 6 is divided by h(f).
2
Let m(w) = 2*w**3 - w**3 + 4 + 5*w**2 - w**2. Suppose -3*u + 120 = -2*s, 3*s = 3*u - s - 126. What is the remainder when u is divided by m(-3)?
12
Let p(u) = 64*u. Calculate the remainder when p(3) is divided by 65.
62
Suppose 10 = -4*s - 34. Let k = s + 15. Let j(b) = b**3 - 7*b**2 + 9*b - 7. What is the remainder when j(6) is divided by k?
3
What is the remainder when (-9)/(81/24)*54/(-8) is divided by 12?
6
What is the remainder when 97 is divided by (-8 - -7)/(2/(-50))?
22
Let z = 73 + -48. What is the remainder when z is divided by 13?
12
Let u be (-63)/(-6)*(-8)/6. Let o = -2 - u. Suppose -2*z = -5*z + o. Calculate the remainder when z is divided by 2.
0
Suppose 0 = -f - 2*f + l + 63, -3*f + 3*l = -69. Calculate the remainder when 157 is divided by f.
17
Let c(p) = p**2 + 6*p + 13. What is the remainder when 86 is divided by c(-8)?
28
Let s = -72 + 160. Calculate the remainder when s is divided by 19.
12
Let g(n) = -n - 6. Let v be g(-4). Calculate the remainder when ((-13)/26)/(v/156) is divided by 14.
11
Let u(j) = -j**2 - 7*j - 2. Suppose 2*g - 10 + 34 = 0. What is the remainder when 3/g - (-61)/4 is divided by u(-5)?
7
Let q(l) = l**2 + 8*l - 11. What is the remainder when 25 is divided by q(-10)?
7
Let p(i) = 2*i**2 + 9*i - 1 - 3 + 5. Suppose 0 = -2*d + 4*d + 12. Calculate the remainder when p(d) is divided by 7.
5
Calculate the remainder when ((-20)/6)/(-1 + (-2)/(-3)) is divided by 4.
2
Suppose 0 = 5*p - k - 86, -5*p + 56 = 4*k - 50. Calculate the remainder when 32 is divided by p.
14
Let f(v) = 0*v + 2*v - 12 + 2*v. What is the remainder when 59 is divided by f(8)?
19
Let y(x) = -x**3 - 6*x**2 + 6*x + 11. Let v(z) = z**2 + 7*z + 9. Let o be v(-6). Suppose 0 = -o*a - 0*a + 159. What is the remainder when a is divided by y(-7)?
17
Suppose -5*y + 50 = -0*y. Suppose 28 + y = g. Let b(z) = 7*z - 39. Calculate the remainder when g is divided by b(7).
8
Calculate the remainder when 27 is divided by (-2)/6*(-1 + -29).
7
Let v = -1 + 6. Suppose -4*y + 50 = v*b - 4*b, -4*y = -5*b - 38. Calculate the remainder when 35 is divided by y.
11
Let s be (-1 - -19)*3/(-18)*-8. Let r = 10 + -7. Suppose -v + s = r*v. What is the remainder when 10 is divided by v?
4
Suppose 12 = 3*m - 9. What is the remainder when 18 is divided by m?
4
Let m(j) = j**2 + 14*j - 15. What is the remainder when 107 is divided by m(-17)?
35
Let h = -5 - -7. Let m be ((-2)/1)/(2/(-6)). Calculate the remainder when 0 - (m*-1)/2 is divided by h.
1
Suppose -6*j = -7*j + 41. What is the remainder when j is divided by 21?
20
Let q = 1 - -6. Suppose 3*p + 3*v - 24 = 0, 21 = -5*p - v + 81. Calculate the remainder when p is divided by q.
6
Let g be (-2)/(-9) - (-6231)/27. Suppose -g = -q - 2*q. Calculate the remainder when q is divided by 16.
13
Let o(m) = 3*m - 1. Let l(k) = k**3 - k**2 + 2. Let c be l(2). Suppose -2*w + 5*w - c = 0. What is the remainder when o(2) is divided by w?
1
Let p(j) = -j**2 - 13*j - 15. What is the remainder when 80 is divided by p(-9)?
17
What is the remainder when -1*(0 + -1) + 4 is divided by 3?
2
Let c = 8 - -9. Let f = -2 - -4. Suppose 3 + 15 = f*y. Calculate the remainder when c is divided by y.
8
Let k(w) = -18*w + 1. Suppose 4*d - 23 = -7. Let a = -6 + d. Calculate the remainder when k(a) is divided by 19.
18
Let y = 10 - 5. Let w = -3 + y. Suppose 2*r - w*v = 36, 0 = -5*r + 4*v - 11 + 96. Calculate the remainder when r is divided by 7.
6
Let i be (-1)/(-3) + 4/(-12). Suppose 0*k - 3*k = p - 46, i = -5*k - 5*p + 80. What is the remainder when 42 is divided by k?
12
Let b = 5 - -37. Calculate the remainder when 166 is divided by b.
40
Suppose 4*t = 5*d + 133, -5*d = 4*t - 145 - 18. Suppose -5*a + 39 = q - 6, 0 = -a - 4*q - 10. Calculate the remainder when t is divided by a.
7
Let h = -7 - -12. What is the remainder when 27 is divided by (-132)/(-20) + 2/h?
6
Suppose 3*h + 5*w + 8 = 0, -4*h + 7 + 13 = -w. Let p = -49 - -59. Calculate the remainder when p is divided by h.
2
Suppose -30 = -3*t - 6*o + 3*o, 36 = 4*t + 3*o. What is the remainder when 37 is divided by t/(-4) - (-246)/12?
18
Let j(n) = n**3 -