at is the remainder when g is divided by a?
3
Let p(y) = y**3 + 6*y**2 - 4*y + 10. What is the remainder when p(-5) is divided by 21?
13
Suppose -k + 107 = 5*q + 17, -61 = -4*q - 3*k. What is the remainder when 73 is divided by q?
16
Let p(v) = 3*v + 4. What is the remainder when 39 is divided by p(2)?
9
Calculate the remainder when 23 is divided by ((-15)/(-9) + -1)*15/2.
3
Let q(a) = -13 - 4*a - 13 + 10. Calculate the remainder when 29 is divided by q(-8).
13
Let k be (-1 - -3)/((-6)/(-996)). Suppose -2*q + k = 2*q. Calculate the remainder when q is divided by 28.
27
Suppose 5*q + 170 = p, -3*q - 4*p - 102 = -9*p. Calculate the remainder when 33 is divided by (q/(-6))/(3/9).
16
Suppose 0*d = 5*d - 35. Let z = -4 + 6. Calculate the remainder when d is divided by z.
1
Calculate the remainder when (-1)/1*(-23 - 48) is divided by 18.
17
Let n be 1/(1/(-4)) + 0. Let r = 28 + n. What is the remainder when r is divided by 13?
11
Suppose 0 = i + 4*h + 5 + 59, -320 = 5*i + 3*h. Let m = -45 - i. Calculate the remainder when 73 is divided by m.
16
Suppose -4*x = 4*x - 64. What is the remainder when 31 is divided by x?
7
Suppose -5*m - 5*y = 10 - 5, -4*m = -y + 9. What is the remainder when 9 is divided by (3 - 3) + (-6)/m?
0
What is the remainder when 54 is divided by 21/12*(8 + 0)?
12
Suppose -s - 2*s = -24. Let t be 6/(-9) + s/3. Suppose -4*m = -t*m - 4. Calculate the remainder when 3 is divided by m.
1
Let f(d) = -d**2 + 12*d - 6. What is the remainder when 41 is divided by f(9)?
20
Suppose 2*a - 2 = 48. What is the remainder when 97 is divided by a?
22
Suppose 4*t - 4 = 4. Calculate the remainder when 5 is divided by t.
1
Suppose 2*h - 4 = 2. Suppose -21 = -0*x - h*x. Let w(y) = y**2 - y. What is the remainder when w(5) is divided by x?
6
Suppose 4*b = -h + 16, -146 = -4*h - 3*b - 17. Calculate the remainder when 1 + 1*(h + -4) is divided by 18.
15
Let g(w) = -w**2 - 3*w + 3. Let s be g(-3). Suppose -4*u - s*q + 26 = -3, -u = -2*q - 10. Let v(a) = -5*a - 5. What is the remainder when v(-4) is divided by u?
7
Suppose 3*l = -4*z + 63 + 132, -2*z + 5*l + 117 = 0. Calculate the remainder when z is divided by 18.
15
Let b = 170 - -91. Suppose 4*k - 2*j = -125 - b, -2*k + 3*j - 183 = 0. Let d = -40 - k. Calculate the remainder when d is divided by 20.
19
Let v(j) = -14*j**2 + 2*j - 1. Let i be v(1). Let m = 8 + -37. Let t = i - m. Calculate the remainder when 46 is divided by t.
14
Let a(d) = d**3 - d**2 - 4*d - 1. Let i be a(3). Suppose -8*o = -i*o - 21. What is the remainder when 18 is divided by o?
4
Suppose 2*a - o = 7*a - 64, 4*a - 44 = o. Suppose -3*c + s + a = 0, 2*c + 5*s + 30 = 7*c. Calculate the remainder when 7 is divided by c.
1
Suppose 3*s = -0*s + 2*r + 17, -5*s - 2*r = -7. What is the remainder when 4 is divided by s?
1
Let v be -2 + (-2 - -2 - -29). Let c be (27/(-6))/(1/(-4)). Let p = v - c. Calculate the remainder when 15 is divided by p.
6
Let f(g) = 2*g**3. Let t be f(1). Let j = t - -3. What is the remainder when j is divided by -3*(-1)/(3 + -2)?
2
Let z(l) = 15. Let i(b) = -b - 16. Let w(x) = 3*i(x) + 4*z(x). Let u be (3/6)/((-1)/18). Calculate the remainder when w(u) is divided by 14.
11
Let b be 5*3/((-30)/4). Let c(i) = -i**2 - 4*i - 3. Let y be c(b). Let k = y - -18. Calculate the remainder when k is divided by 10.
9
Suppose 4*m - a - 33 = 0, -6 = -6*a + 4*a. What is the remainder when (-10)/6*(-5 - 10) is divided by m?
7
Let r = 45 - 41. Calculate the remainder when r is divided by 4.
0
Let p = 18 + -8. Calculate the remainder when (0 - 1)/((-2)/p) is divided by (26/(-8) - -3)*-8.
1
Suppose -6*o + o = -220. Let b be 40/22 + 8/o. Suppose v - 60 = -7*g + 2*g, v - b*g = 25. What is the remainder when v is divided by 12?
11
Let t(c) = -c**3 + 6*c**2 - 6*c + 6. Let b be t(5). Suppose 13 = 2*x - b. Calculate the remainder when 19 is divided by x.
5
Suppose -3*c + 30 = -6*c. Let q(t) = t**3 + 11*t**2 + 10*t + 4. Suppose -4*d = 5*g - 8, 2*g - 2 + 10 = 0. Calculate the remainder when d is divided by q(c).
3
Suppose -2*x - 21 = 5*m - 139, -5*m + 114 = x. Suppose 2*u = 134 - 6. Calculate the remainder when u is divided by m.
20
Suppose -5*y - 3 + 73 = 0. Suppose 2*x = -t + 82, 0*t - 205 = -5*x + 2*t. What is the remainder when x is divided by y?
13
Let a be ((-3)/6 + 1)*10. Suppose -43 = -a*s + 12. Suppose -3 = 2*z - s. Calculate the remainder when 6 is divided by z.
2
Let j(u) = -2*u + 5. Let y be j(-8). Let z = y + -13. Suppose q - 18 = 5*m - 93, -5*m = 3*q - 55. Calculate the remainder when m is divided by z.
6
Let x be 2/6 - 20/(-3). Let l(k) = 5*k - 1. Let m(u) = 5*u - 1. Let h(c) = x*m(c) - 6*l(c). Calculate the remainder when h(7) is divided by 18.
16
Let b(c) = 3*c + 8. What is the remainder when 126 is divided by b(8)?
30
Let q = -42 - -68. Suppose -3*b - 11 = 5*w - q, -25 = -5*b - w. What is the remainder when 18 is divided by b?
3
Suppose u + 17 = 2*m, -4*m - m = -2*u - 43. What is the remainder when 0 - (-52)/(0 - -2) is divided by m?
8
Let a(t) = t**3 - t + 28. What is the remainder when a(0) is divided by 16?
12
Suppose -s - 3*x + 7 = 3*s, -1 = -4*s - 5*x. Let u = 4 - s. Let r = u + 15. What is the remainder when 58 is divided by r?
13
Let c = -23 - -29. What is the remainder when 9 is divided by c?
3
Calculate the remainder when 183 is divided by (-73 + 11)*1/(-2).
28
Let f = -9 + 12. Calculate the remainder when f is divided by 1.
0
Suppose r - 4*r + 6 = 0. Suppose -o - 2 = -4*h, -2*h + h = -r*o + 3. Calculate the remainder when 7 is divided by o.
1
What is the remainder when -2 - (-2 + -28 + 1) is divided by -42*3/(3 - 12)?
13
Let s = -3 + 7. Suppose -3*x = -s*x + 1. Let d = 4 + -2. Calculate the remainder when d is divided by x.
0
Suppose 0 = -8*s + 89 + 7. Suppose 2*x + 7*b - 2*b - 46 = 0, 0 = x - 5*b - 53. Calculate the remainder when x is divided by s.
9
Let m be 1*(13 - (-1)/1). Let b(z) = 2*z**2 - z**2 - z - 2 + m + 5. Calculate the remainder when b(0) is divided by 9.
8
Suppose 4*g - 3 - 1 = -2*q, -q + 2 = 4*g. Suppose -2*t - t + 66 = g. Let z = 8 + 0. Calculate the remainder when t is divided by z.
6
Calculate the remainder when 24/(-16) + (-137)/(-2) is divided by 14.
11
What is the remainder when (10 + -4)/(1/3) is divided by 4 - 1 - (1 + -3)?
3
Let i be 10/(-15)*(-6)/4. What is the remainder when 18 is divided by (1 + -8*i)*-1?
4
Let i(o) be the first derivative of 3 - 1/3*o**3 + 7/2*o**2 - 3*o. What is the remainder when 25 is divided by i(4)?
7
Suppose -254 = -6*y - 50. What is the remainder when y is divided by 6?
4
Let o(g) = -g + 14. Let w be o(8). Let c = w - -3. What is the remainder when 34 is divided by c?
7
Suppose -165 = -5*s - v, v + 2*v + 33 = s. Calculate the remainder when s is divided by 1/3 + 212/12.
15
Suppose -2*v + 19 = -1. Let n = 17 - -2. Calculate the remainder when n is divided by v.
9
Let m(k) = 1 + 0 - 1 + 11*k. What is the remainder when m(5) is divided by 14?
13
Let h = -16 + 5. Let m = h - -17. What is the remainder when 35 is divided by m?
5
Let z(h) be the first derivative of 4*h**3/3 - h**2 - h - 1. Let l = -7 - -6. Calculate the remainder when 8 is divided by z(l).
3
Let w(p) = 10*p - 1 + 3 - 2. What is the remainder when 38 is divided by w(1)?
8
Suppose 2*p = 5*i - 93, -2*p + 26 = 4*i - 2*i. Let s = 0 + 3. Suppose -3*t + 6*t - 26 = 2*k, -s*t - 5*k = 2. What is the remainder when i is divided by t?
5
Let i = -35 + 61. Suppose -3*p - 153 = -5*g + 215, 0 = 2*g + p - 156. Calculate the remainder when g is divided by i.
24
Let x(n) = -n - 4. What is the remainder when 18 is divided by x(-9)?
3
Let k = 4 + 6. What is the remainder when 13 is divided by ((-48)/(-20))/(3/k)?
5
Let t = 251 + -29. What is the remainder when t is divided by 28?
26
Let x(f) be the third derivative of -f**6/120 - f**5/20 + f**4/8 - f**3/3 - f**2. Suppose -8 = 5*n - 3*n. What is the remainder when 2 is divided by x(n)?
0
Let k(j) = -j**3 + 15*j**2 - 12*j - 15. What is the remainder when 51 is divided by k(14)?
12
Suppose 4 = g + 11. Let s(x) = x**2 + 6*x - 4. What is the remainder when 7 is divided by s(g)?
1
Let z = 30 - 1. Calculate the remainder when 113 is divided by z.
26
Suppose 4*x + 0*d - 3*d - 89 = 0, 5*x - d = 103. Suppose 0 = -3*f + f + x. Calculate the remainder when f is divided by 4/(-2) +