ainder when 29 is divided by k.
5
Let s(c) = 2*c**2 - 3*c + 3. Let k(g) = -5*g - 5. Let u = 12 - 16. What is the remainder when s(6) is divided by k(u)?
12
Let t(q) = q**3 - 10*q**2 + q - 4. What is the remainder when 17 is divided by t(10)?
5
Let z be (-2)/(-10) - (-59)/5. Suppose p - i = -0 + z, -59 = -5*p + 4*i. What is the remainder when 20 is divided by p?
9
Let x = 32 + -11. Suppose -2*h = -6, 4*o - x = 4*h + h. Let s(y) = 6*y - 1. What is the remainder when o is divided by s(1)?
4
Suppose -4 = b, -f - 2*b + 2 = 21. Let d = f - -33. Let p = d + -7. Calculate the remainder when 58 is divided by p.
13
What is the remainder when 26 - 1 - (0 + 4) is divided by 8?
5
Let l = 7 + 20. What is the remainder when 105 is divided by l?
24
Let a be 2 - -16 - (-2)/(-2). Suppose 0 = -2*r + a + 3. Calculate the remainder when 57 is divided by r.
7
Let m = 9 + 3. Calculate the remainder when 34 is divided by m.
10
Suppose -167 = -4*p + 145. What is the remainder when p is divided by (1 + -2)*(6 - (-104)/(-4))?
18
Suppose 6*h - 12 = 5*h. What is the remainder when h is divided by 5?
2
Let c(f) = -f**2 + f + 38. Let o be c(0). Suppose -3*x - 17 = 5*j + 34, -4*x + 5*j - 33 = 0. Let n = x + o. What is the remainder when n is divided by 9?
8
Let z(y) = y**2 - 9*y + 11. Let j(r) = 3*r - 1. Let b be j(1). Suppose f = 3*f - a - 81, -b*a + 84 = 2*f. What is the remainder when f is divided by z(10)?
20
Let d = 1 + 13. Let v be (-1)/(-5) + d/5. Suppose v*t - 15 = -0*w - w, 3*w + 5*t - 45 = 0. Calculate the remainder when 27 is divided by w.
12
Let j = -77 + -29. Let v = 159 + j. Suppose 0 = -5*w + 213 - v. What is the remainder when w is divided by 11?
10
Let h = -78 + 87. What is the remainder when 61 is divided by h?
7
Let m(u) be the third derivative of -u**6/120 + 2*u**5/15 + 5*u**4/12 - u**3 + 3*u**2. What is the remainder when 7 is divided by m(9)?
1
Suppose 0 = 3*s - 6, 2*v - s = -4*s + 46. Let z = 101 - 23. Calculate the remainder when z is divided by v.
18
Suppose 3*q - 18 = -4*z + 90, -5*q = -z - 157. What is the remainder when q is divided by 11?
10
Suppose 21*r - 98 = 7*r. Let b(m) = -8*m**2 + m**3 + 0 - 3*m - 1 + 12*m. What is the remainder when b(7) is divided by r?
6
Let p(h) = -h**3 + 6*h**2 + 2*h + 4. Let c = -3 - -48. Calculate the remainder when c is divided by p(6).
13
Suppose -3*h - 2*n + 14 = 0, 5*h - 36 - 2 = 4*n. Let w = h + -1. Calculate the remainder when 9 is divided by w.
4
Let m(t) = 3*t - 2. What is the remainder when 27 is divided by m(4)?
7
Suppose g - 22 = -g. Calculate the remainder when 29 is divided by g.
7
Suppose 32*n - 36*n = -152. What is the remainder when 150 is divided by n?
36
Suppose 2*s - 4*s - 6 = 0. Let r be -1 - -42 - (-3)/s. Suppose 0 = 4*a - 3*o - 69, -2*a + o - 7 = -r. What is the remainder when a is divided by 8?
7
Suppose -38 = -5*a - 3. Let q = -4 + a. Calculate the remainder when 3 is divided by q.
0
Suppose -t + h = -16 - 13, 4*h - 127 = -5*t. Calculate the remainder when t is divided by 7.
6
Calculate the remainder when 11 is divided by ((-90)/(-50))/(3/10).
5
Let m = 6 - 4. Suppose 5*x - 35 = 7*l - m*l, 0 = -5*l - 20. Let i = x + 1. What is the remainder when 7 is divided by i?
3
Let p = 26 + -1. Suppose 3*g - 68 = -5*h, 0 = -h + 5*g - 2 + 10. What is the remainder when p is divided by h?
12
Let x(q) = -q**2 - 2*q + 3. Let t be x(-5). Let s = t + 32. Suppose 0 = -5*h + 3*n + 52, -2*h + n + 21 = -0*h. Calculate the remainder when s is divided by h.
9
Let i(o) = o**2 - 10*o + 4. Let p(y) = y**2 + 6*y - 6. Let a be p(-8). Calculate the remainder when 14 is divided by i(a).
2
Let m(f) = -f**2 - 5*f - 2. Let w be (2 - 1) + 1*-1. Suppose -3*t + w*t = 12. Calculate the remainder when m(t) is divided by 1.
0
Suppose 17 = w + 10. What is the remainder when 102 is divided by w?
4
Suppose -2*c - 3*x = -7*c + 154, -38 = -c - 3*x. What is the remainder when 61 is divided by c?
29
Let d(c) be the first derivative of c**3/3 + 3*c + 6. What is the remainder when 35 is divided by d(-4)?
16
Suppose 0*j + j = 3. Suppose 6 = m - j. What is the remainder when 30/(-4)*(-10)/3 is divided by m?
7
Suppose 5*v - v = 0. Suppose v - 2 = -r. Calculate the remainder when 62*((-4)/r - -3) is divided by 21.
20
Suppose y + 3*b = -5, -3*y - 17 = b + 6. Calculate the remainder when (-50)/y*24/3 is divided by 13.
11
Suppose 5*t - 1 = -4*h - 14, -2*h = -3*t + 23. Let s = h + 15. Suppose 0 = 2*z - 6*z + 116. Calculate the remainder when z is divided by s.
5
Suppose 0*o = 2*o. Suppose -2*b + o*b + 3*i + 17 = 0, 2*i + 7 = b. Suppose 2*l = b + 3. Calculate the remainder when 14 is divided by l.
6
Suppose -5*p + 147 + 78 = 0. Suppose -5*a + 12 = -48. What is the remainder when p is divided by a?
9
Suppose 2*z + 0*z = -5*d + 49, z = d - 7. Calculate the remainder when 15 is divided by d.
6
Let f = 15 - 4. Calculate the remainder when 52 is divided by f.
8
What is the remainder when -1 - -63 - (-9)/3 is divided by 11?
10
Let s be 14/6 - (-5)/(-15). Calculate the remainder when 30 + s/((-4)/6) is divided by 10.
7
Calculate the remainder when 23 is divided by 21/14 - (-27)/6.
5
Let u = 27 - 23. Calculate the remainder when 8 is divided by u.
0
Suppose 2*u - 47 = 5*y + 17, 4*u = 3*y + 44. Let z be 27/y*2*-20. Suppose 3*x - z = 33. What is the remainder when x is divided by 11?
8
Let x(r) = 3*r - 1. Let f be x(2). Let l(a) = -f - 3*a + 3*a - 2*a. Calculate the remainder when 20 is divided by l(-8).
9
Let b = -60 + 68. Let q = -10 + 41. What is the remainder when q is divided by b?
7
Suppose 21 = 4*p - 3*p. What is the remainder when (1/(-3))/(-2 + (-365)/(-183)) is divided by p?
19
Suppose 8*r = 78 - 6. What is the remainder when 13 is divided by r?
4
Suppose -m + 5 = 2*m - j, 2*j = 5*m - 8. Calculate the remainder when (-3)/(-2) - (-51)/m is divided by 15.
12
Let w be 1 - (-1)/(-2)*-2. What is the remainder when w/(-2)*(-87)/3 is divided by 15?
14
Suppose -5*o + 135 = -115. What is the remainder when o is divided by 13?
11
Let x be (-6)/10 - 4/10. Let c be 2 + x + -1 + 2. Suppose -c*o = 4*p - 54, -9 - 11 = -4*o. Calculate the remainder when 21 is divided by p.
10
Suppose 3*o - 287 = -2*r - 29, 5*r = -3*o + 267. Calculate the remainder when o is divided by 22.
18
Suppose 49 = 2*l + 3*w, 4*l + 0*w - 133 = w. Calculate the remainder when 31 is divided by (l + 2 + 0)/2.
14
Suppose 5*v - 4*m + 104 = 9*v, -4*v + 5*m = -113. What is the remainder when 160 is divided by v?
25
Calculate the remainder when 21 is divided by 96/(-18)*3/(-2).
5
Suppose -3 = 2*y - 0*y + 3*t, -4*y - 4*t = 0. Let d = -46 + 64. Suppose y*u - d - 24 = 0. Calculate the remainder when 27 is divided by u.
13
What is the remainder when -7 + 4 + (0 - -23) is divided by 7?
6
Suppose -109 = -2*t - 35. Calculate the remainder when t is divided by 19.
18
Let t be (-1)/(1/(-1))*-9. Let l = t + 6. What is the remainder when 10 is divided by 22/6 - l/9?
2
Calculate the remainder when 92 is divided by (3 - -14) + 4/2.
16
Let f = -27 - -47. What is the remainder when 117 is divided by f?
17
What is the remainder when (-4)/(-10) + 526/10 is divided by 18?
17
Let m(o) = -o**2 + 9*o - 7. Suppose 0 = -5*f - 0 + 30. Calculate the remainder when 31 is divided by m(f).
9
Let a(t) = t + 3. Let c(w) = 2*w + 3. Let r(n) = -3*a(n) + 2*c(n). What is the remainder when ((-2)/(-4))/(2/36) is divided by r(8)?
4
Let o = -2 - -6. Suppose -g + 2*x + 2*x + 56 = 0, -5*x = -o*g + 191. Calculate the remainder when g is divided by 15.
14
Let w = 28 - 15. Suppose -4*u + w = -2*c + 47, -3*c = 3*u - 15. What is the remainder when 44 is divided by c?
8
Calculate the remainder when (-4)/(-2)*(-23)/(-2) is divided by 12.
11
Suppose 2*o - 17 = o. What is the remainder when o is divided by 4?
1
Let j = -5 - -5. Let z(r) = r + 28. What is the remainder when 54 is divided by z(j)?
26
Suppose -2*r + 3 = 4*k - 1, 4*r = -5*k + 5. Suppose -j = -r*j - 5. Calculate the remainder when 9 is divided by j.
4
Let z = 24 + -16. Let i(g) = 3*g + 1. What is the remainder when i(7) is divided by z?
6
Let l be -2*(-2 + (-51)/2). Suppose 5*y - l = -h + 18, 0 = y + 4*h - 26. Let j(n) = n**3 + 4*n**2 + n - 1. Calculate the remainder when y is divided by j(-3).
4
Let x = 4 + -7. Let t be x/12 - 147/(-12). Suppose 5*i = 2*i + p + t, -3*i + 21 = 2*p.