a. What is the remainder when a is divided by u?
8
Suppose -5*m + 163 - 8 = 0. Suppose c + 5*s = 27, -m = c - 5*s - 8. What is the remainder when 5 is divided by c?
1
Suppose u + 35 = 6*u. Let i = 15 - 11. Suppose -3*p - i = -5*p. What is the remainder when u is divided by p?
1
What is the remainder when 9*((-4)/14 + 176/28) is divided by 28?
26
Let c be ((-2)/(-1))/(4/(-50)). Let d = c - -38. Let m(f) = f**2 - 4*f + 5. Calculate the remainder when d is divided by m(4).
3
Suppose -2*i + 0*i = -30. Suppose -3*y = -4*y + 4*f + 10, 4*y + 2*f = 76. What is the remainder when (-504)/(-15) + 6/i is divided by y?
16
Suppose 2*i - 5 = -3*n + 3*i, -n - 3*i = 15. Suppose n = -q - 4, 15 = 4*g - 3*g - 2*q. What is the remainder when (162/45)/((-2)/(-10) + 0) is divided by g?
4
Suppose -1 = -9*b + 8*b. Calculate the remainder when 1 is divided by b.
0
Suppose -5*m + m = 3*a - 107, 53 = a - 3*m. Suppose -66 = -2*p - p. Suppose -p = -l - l. What is the remainder when a is divided by l?
8
Let k(c) = -3 + 5*c - 6*c + 17*c. Let r be k(-3). Let j = r + 86. Calculate the remainder when j is divided by 18.
17
Let s be 156/(-8)*2/(-1). Let j = s - 9. Suppose 0 = -3*k + 9 + j. What is the remainder when 24 is divided by k?
11
Suppose 0 = -4*b - 45 + 205. What is the remainder when b is divided by 21?
19
What is the remainder when 0 - -2 - (-1080)/12 is divided by 12?
8
Let r(j) = 5*j**2 - 2*j + 3. Let p be r(4). Suppose -p = -2*a - 3*a. Let h(m) = -5*m - 6. What is the remainder when h(-7) is divided by a?
14
Let u(a) be the second derivative of a**5/20 - a**4/3 + 2*a**3/3 - 4*a**2 + 3*a. What is the remainder when 71 is divided by u(5)?
34
What is the remainder when -3 + (-80)/(-25) + (-274)/(-5) is divided by 12?
7
Suppose 6*q = q + 40. Let y = q + -6. Suppose 4*m - y*m = 10. Calculate the remainder when 13 is divided by m.
3
Let m(z) = 2*z + 5. Suppose 2*h - 46 = -5*a, h = -a + 6*h - 7. Calculate the remainder when m(5) is divided by a.
7
What is the remainder when (-6)/(-14) + 663/119 is divided by 2?
0
Let r(m) = 44*m + 4. Let n be r(3). Let b be n/(-10)*(-2 - 3). Let u = 100 - b. Calculate the remainder when u is divided by 11.
10
Calculate the remainder when (107 - -10)*2/3 is divided by 20.
18
Suppose -71 = -2*y - 5*z, 0 = 4*z + z - 15. Calculate the remainder when 107 is divided by y.
23
Suppose 9 = 6*u - 5*u. Calculate the remainder when 26 is divided by u.
8
Let i(y) = y - 3. Let j be i(-7). Let d(z) be the second derivative of z**3/6 + 6*z**2 + 5*z. What is the remainder when d(j) is divided by 2?
0
Let v = 0 + 2. Suppose v*z - 46 = 3*c, 5*z - z - 5*c - 96 = 0. What is the remainder when z is divided by 10?
9
Suppose -637 - 523 = -5*l. Suppose -l = -0*y - 4*y. Let m(p) = -p**3 + 7*p**2 + 3*p - 1. Calculate the remainder when y is divided by m(7).
18
Let q = -94 + 176. Calculate the remainder when q is divided by 28.
26
Calculate the remainder when (-1870)/(-25) - (-1)/(-10)*-2 is divided by 39.
36
Suppose -4*t - 4 - 8 = 0, -4*u + 2*t = -30. What is the remainder when 9 is divided by u?
3
Let n be 0/2 - 3*-1. Suppose -o - n*o = -48. What is the remainder when (-852)/(-39) - (-8)/52 is divided by o?
10
Let x(y) = -15*y - 1. Let s be x(-1). What is the remainder when 6/(-9) + 161/3 is divided by (-4 - -4) + s + 0?
11
Let m(b) = -2*b - 13. Let p be m(-8). Suppose -4*q - 3*k + 75 = q, p*q - 2*k = 26. What is the remainder when 45 is divided by q?
9
Let h(t) = -t**2 - 6*t. Let g be h(-5). Let q(a) = a + 10. Calculate the remainder when 59 is divided by q(g).
14
Let r(u) = u + 23. Let z be 17/3*(-1 + 4). Let h = z - -4. Calculate the remainder when h is divided by r(-17).
3
Let b(j) = -4*j. Calculate the remainder when b(-3) is divided by 7.
5
Suppose 4*o = 20, -4*s + 4*o - 17 = 23. What is the remainder when -6 - s - (-5 + 0) is divided by 3?
1
Let u = 16 + -13. Suppose 9 = -2*k - u*g, -25 = -3*k + 5*g + 9. What is the remainder when 6 is divided by k?
0
Let g(m) = -m + 9. What is the remainder when 5/((-2 - -5)/15) is divided by g(0)?
7
Suppose 1 = 5*g - 14. Let w = 7 + -4. Calculate the remainder when g is divided by w.
0
Suppose 2*w + 2*w + 32 = 0. Let l = 18 + w. Let p = 6 + -2. Calculate the remainder when l is divided by p.
2
Suppose 4 + 128 = 3*h. Calculate the remainder when h is divided by 23.
21
Suppose c = -0*c. Let n = c - -16. What is the remainder when 61 is divided by n?
13
Suppose -5*y = -4*s - 197, -2*s - 12 = 2*s. Suppose -2*q = 13 - y. Calculate the remainder when q is divided by 5.
2
What is the remainder when 75/4 + 1/4 is divided by 2*((-9)/(-27))/(2/21)?
5
Let g = 26 + -17. Calculate the remainder when 3/2 - (-425)/10 is divided by g.
8
Suppose 0 = v - 4 + 1. Suppose -v*j + 6*j = 39. Calculate the remainder when 246/10 - 2/(-5) is divided by j.
12
Suppose 2*j = -3*j + 110. What is the remainder when j is divided by 13?
9
Suppose 15*s = -93 + 333. Let z(k) = -k**3 + 6*k**2 + 7*k + 2. What is the remainder when z(5) is divided by s?
14
Let y be (3/6)/((-3)/120). Let l(u) = u**3 + 6*u**2 + 2*u + 4. What is the remainder when (-144)/y*(-10)/(-2) is divided by l(-5)?
17
Suppose -5*t = -2*w + 17, -4*t + w = -0*w + 13. Let i = t - -27. Suppose -3*b = -8*b + 65. What is the remainder when i is divided by b?
11
Let y = -16 + 42. Calculate the remainder when 2/(y/(-9) + 3) is divided by 5.
3
Let p be -1*(0 + 0)/(-3). Suppose 5*c + 16 + 4 = p. Let u = c - -6. Calculate the remainder when u is divided by 2.
0
Calculate the remainder when 1/(-1)*(-70 + -1) is divided by 15.
11
Let q(m) = m**3 + 4*m**2 - 7*m - 3. Let a be q(-5). Let g = -2 + a. What is the remainder when 13 is divided by g?
3
Let x = -130 + 191. Calculate the remainder when x is divided by 13.
9
Let u(c) = c**3 - 4*c**2 + 5*c. Let k be u(4). Suppose l - k = -l. What is the remainder when 28 is divided by l?
8
Let x = -27 - -42. Calculate the remainder when 23 is divided by x.
8
Suppose -3*j - 34 = 302. Calculate the remainder when 18 is divided by j/(-40)*10/4.
4
Suppose 3*n = -2*o + 100, 7*o - 165 = -5*n + 4*o. What is the remainder when n is divided by 16?
14
Let n be 852/9 + (-2)/3. Suppose -4*r + n = -2*r. What is the remainder when r is divided by 16?
15
Let t be 396/28 + (-2)/14. Suppose 2*d - 42 = -t. Calculate the remainder when 69 is divided by d.
13
Calculate the remainder when ((-2)/(-6))/(15/315) is divided by 2.
1
Let m(r) = -8*r**3 - 2*r**2 - r. Calculate the remainder when m(-1) is divided by 3.
1
Let r(i) = 10*i**3 - 2*i + 3. What is the remainder when r(2) is divided by 10?
9
Let j be (0 - -1)/((-2)/(-8)). Suppose r + 4*r + 6 = -b, 0 = j*b + 4*r - 8. Calculate the remainder when 7 is divided by b.
3
Let z(x) = 3*x**2 + 4*x + 4. Let w = -1 + -2. Suppose -5*j + 32 = -18. Calculate the remainder when z(w) is divided by j.
9
Let k(g) be the third derivative of -g**4/24 + 8*g**3/3 - 4*g**2. Calculate the remainder when 47 is divided by k(0).
15
Suppose 0 = 2*t - 101 - 15. Calculate the remainder when t is divided by 10.
8
Let j = -2 + 11. Suppose 0*m = m - 5. Calculate the remainder when j is divided by m.
4
Suppose -4*n = 8, -2*f + 4*n = -32 + 14. Suppose -29 = -3*d + 13. What is the remainder when d is divided by f?
4
Suppose -5*n + 3*m = -100, -5*m = -4*n + 49 + 44. Calculate the remainder when 33 is divided by n.
16
Let f be 2/2 + (-20)/5. What is the remainder when 31 is divided by (4 - 3)/(f/(-33))?
9
Let k(i) = -i**3 + 9*i - 7. Let r(s) = -s + 1. Let o = -7 - -31. Let d(j) = o*r(j) + 3*k(j). What is the remainder when d(-2) is divided by 12?
9
Suppose 4*s - 3*a = -2*a + 81, 5*s - 90 = 5*a. Calculate the remainder when s is divided by 6.
3
Suppose -3*p = 5*z + 34, -3*z - 2*z + 3*p = 16. Let l = -1 - z. Suppose -l*j + 289 = j + 4*t, -4*j = t - 240. Calculate the remainder when j is divided by 21.
19
Suppose 58 = -15*d + 328. Calculate the remainder when 50 is divided by d.
14
Let u = -622 + 914. Calculate the remainder when u is divided by 14.
12
Let z be 8*2*5/4. Suppose 3*p + 8 - z = 0. Suppose 4*s - n - 194 = 0, 0 = 7*s - 2*s + p*n - 232. What is the remainder when s is divided by 17?
14
Suppose -j + 14 - 1 = 0. Suppose -u = u - 5*x + j, 3*x - 27 = -2*u. Calculate the remainder when 21 is divided by u.
3
Let u(x) = x**2 + 4*x - 4. Let j be u(-7). Let h be 1/(-