- -1. What is the remainder when h/y - (-21)/6 is divided by 2?
1
Suppose 2*s + 9*s - 66 = 0. Let q = -3 - -12. Calculate the remainder when q is divided by s.
3
Suppose 0 = -y - 4 + 14. What is the remainder when y is divided by 4?
2
Suppose -4*h - 11 = -5*h. Calculate the remainder when 54 is divided by h.
10
Suppose 0 = 4*j - 4. Calculate the remainder when 74 is divided by 24 - -3 - (j - -1).
24
Calculate the remainder when 89 + 5/(20/8) is divided by 19.
15
Suppose 4*a = 5*a - 13. What is the remainder when 22 is divided by a?
9
Suppose -v = -2*l + 35, -3*v - 6 = -2*l + 31. What is the remainder when 31 is divided by l?
14
Suppose 1 = -z + y, 0*z = -3*z + 2*y + 1. Suppose 0 = -2*a - z*a. Suppose 5*v - 67 - 3 = a. What is the remainder when 27 is divided by v?
13
Let j(b) = b**3 + b**2 - b + 5. Let f be j(0). Let k = -19 + f. Let a = -6 - k. What is the remainder when 23 is divided by a?
7
Let y(x) = -5*x + 24. Let b(u) = 15*u - 71. Let w(o) = 3*b(o) + 8*y(o). Calculate the remainder when w(9) is divided by 5.
4
Suppose -2*l - 5*g = -28, l - 4*g + 8 = -g. Suppose -l*k + 31 = -13. Calculate the remainder when 31 is divided by k.
9
Let l(i) = i**3 - 6*i**2 - 5*i + 5. Let b be l(8). Suppose 3*f + 0*f = b. Calculate the remainder when f is divided by 8.
7
Let o(q) = q**3 + 4*q**2 + q. Let n(w) = w**3 + 4*w**2 - 3*w + 7. Let l be n(-5). What is the remainder when 21 is divided by o(l)?
3
Suppose -4*n + f + 67 = 0, -2*n - 4*f = -7*n + 70. Suppose -2 - n = -5*t. What is the remainder when 14 is divided by t?
2
Suppose 0 = 2*p - 6 - 0. Suppose -16 = -4*q - 3*j, 0 = 3*q - 2*j + 4 + 1. Let x = p + q. Calculate the remainder when 6 is divided by x.
2
Let l(v) = 2*v**3 - 2*v**2 - 2. Let k be l(2). What is the remainder when k/3 + 14 - 2 is divided by 4?
2
Let t be -1*(1 + 1 - 24). Let r = t - 9. Suppose 0 = -2*g - 3*g + 185. What is the remainder when g is divided by r?
11
Let d = -2 + -1. Calculate the remainder when -3 + 5 + d - -3 is divided by 1.
0
Let g = 14 + -5. Suppose 1 = g*l - 8*l. What is the remainder when 3 is divided by l?
0
Let z(d) = -d**2 + 13*d + 25. Calculate the remainder when 49 is divided by z(13).
24
Suppose 9*m + 20 = 11*m. Suppose 145 = 5*f - 0*f. What is the remainder when f is divided by m?
9
Let t(h) = -h**2 - 4*h + 4. Calculate the remainder when 66/9 - 3/9 is divided by t(-4).
3
Let i(p) = 4*p**3 + 3*p**2 - 2*p - 2. Let g = 6 + 7. What is the remainder when i(2) is divided by g?
12
Suppose 4*a - 4 = 4*c, 3*c + 7 = 4*a - 0. Let d(o) = o - 5. Let u be d(13). Suppose -4*j = -0*j - u. What is the remainder when c is divided by j?
1
Suppose -49 - 46 = 5*n. Let m = -14 - n. What is the remainder when m is divided by 4?
1
Let u = 11 + 11. Let l = -21 + 29. Calculate the remainder when u is divided by l.
6
Let s = 153 - 109. What is the remainder when s is divided by 17?
10
Suppose -y = -15 - 35. Let x(l) = l**3 - 2*l**2 - 2*l - 1. Let a be x(3). Suppose 5*f + 3*p = y, 7 = -p + a. What is the remainder when 38 is divided by f?
12
Suppose -2*c = -5*d + 20, -4*d - 2*c = 2*c - 16. Calculate the remainder when d is divided by (-1 - -2)*2 + 0.
0
Suppose -3*v = -57 - 60. What is the remainder when 113 is divided by v?
35
Let c = 20 + -17. Calculate the remainder when 3 is divided by c.
0
What is the remainder when (-10)/(0 - (5 - 4)) is divided by 4?
2
Suppose 2*w - 3*k = -3*w + 22, -3*w + 3*k = -18. Suppose m + w*m = 102. Calculate the remainder when m is divided by 18.
16
Suppose 0*k = -2*k. Suppose 0 = x - k*x - 5. What is the remainder when 12 is divided by x?
2
Let q = 22 + -19. Let f = 20 - q. Calculate the remainder when f is divided by 6.
5
Let x = -10 - -13. What is the remainder when 20 + (2 - x)*3 is divided by 6?
5
Suppose 5*t = -4 + 39. Suppose 2*l + 0*l = 6. Suppose -i + y - t = -y, l*i + 6 = 3*y. Calculate the remainder when 7 is divided by i.
1
Suppose 0 = 20*f - 22*f + 44. Calculate the remainder when f is divided by 13.
9
Let m = 1 - -15. Suppose f + 230 = 6*f. What is the remainder when f is divided by m?
14
Let q(o) = 2*o + 0 - 1 - 5*o + 4*o. What is the remainder when 23 is divided by q(9)?
7
Suppose 2*d = q - 16, q + 4*d - 60 + 14 = 0. What is the remainder when 76 is divided by q?
24
Calculate the remainder when 70 is divided by 4 + -1 + 84/4.
22
Let d = 93 + -60. Calculate the remainder when d is divided by 7.
5
Let k(t) = -t**2 - 14*t - 12. Let n = -9 - 2. Calculate the remainder when k(n) is divided by 8.
5
Let q = 28 - 22. Calculate the remainder when 17 is divided by q.
5
Calculate the remainder when 26676/285 + (-6)/10 + 1 is divided by 20.
14
Let j(q) = -q**2 - 7*q + 11. What is the remainder when j(-8) is divided by 1?
0
Let q(m) = 8*m + 4. Let j be q(5). What is the remainder when (j/(-12) - -2)*-3 is divided by (-11)/(-3) - 2/(-6)?
1
Suppose 0*g - 29 = -3*u - 5*g, 4*u - 2*g = 4. What is the remainder when 7 is divided by u?
1
Let c(z) = 3*z**2 - z - 1. Let g be c(2). Suppose -4*n = -4*q + 32, -3*q - n = n - g. Suppose 3*o = 4*o - q. Calculate the remainder when o is divided by 4.
1
Let y = 106 - 43. What is the remainder when y is divided by 22?
19
Let g(s) = -2*s**3 - 7*s**2 - 2*s + 6. Let j(h) = -12*h**3 - h**2. Calculate the remainder when j(-1) is divided by g(-3).
2
Suppose 5*t = 2*t + 828. What is the remainder when 4/(-3)*t/(-8) is divided by 16?
14
Let p(b) = b**2 - 4*b - 1. Suppose 5*r - 2*f - 40 = 3*f, 0 = -3*r + 4*f + 26. Calculate the remainder when p(6) is divided by r.
5
Suppose 0 = -3*x + 4*x - 1. Let z(w) = -4*w + 1. Let j be z(x). Calculate the remainder when 25 is divided by (2/j)/(2/(-39)).
12
Let j(f) = 20 - 29*f + 4 + 28*f. Let d = -32 - -87. What is the remainder when d is divided by j(10)?
13
Suppose -23 = -4*g + b - 0*b, 15 = -5*b. Suppose 87 = g*m - 53. What is the remainder when 82 is divided by m?
26
Suppose -3*a = 2*m - 86, 5*m = a + a + 177. What is the remainder when 73 is divided by m?
36
Suppose -3*y - 23 - 1 = -4*h, -3*h + y = -23. What is the remainder when h is divided by 9/2 + 4/8?
4
Let s = 25 - 21. Suppose 0*m = 2*m - s. Let d(y) = y - 1. Calculate the remainder when d(3) is divided by m.
0
Suppose 0 = -d - 0*d, 0 = -2*h - 2*d + 48. Suppose h = 4*g - v, v - 30 = -5*g - 0*v. Suppose 6*x - 63 = 3*x. Calculate the remainder when x is divided by g.
3
Suppose 4*r - 10 - 46 = 0. Let o = -1 + r. Calculate the remainder when 25 is divided by o.
12
Calculate the remainder when -1*2 + (-1 - -70) is divided by 14.
11
Let z = -2 - -6. Suppose -5*n + 2 = -5*j - 13, -n - j + 11 = 0. Let k = n - z. What is the remainder when 4 is divided by k?
1
Suppose -75 - 61 = -17*t. What is the remainder when t is divided by 2/(4/14) - 2?
3
Let k be ((-32)/(-10))/((-20)/(-50)). Let j(w) = 3*w**3 + w**2 - 8*w - 10. Let b be j(k). What is the remainder when (-4)/(-10) - b/(-35) is divided by 15?
14
Suppose 5*q - 67 = -7. Calculate the remainder when 47 is divided by q.
11
Let h(b) = 9*b + 2. Let j(n) = n**2 + 4*n + 4. Let m be j(-3). What is the remainder when h(4) is divided by (-14)/(1 - 2) - m?
12
Calculate the remainder when 6 is divided by (-12)/(-14)*(-70)/(-15).
2
Suppose 4 = 3*r - 2. Suppose -6*n + 4 = -2*n. What is the remainder when r is divided by n?
0
Let t be 1 + 2 + 8 + -14. Calculate the remainder when 28 is divided by (-50)/(-5) - 0/t.
8
Suppose -4*g + 1 = -5*i, 2*i - 3*g + 5*g = 14. What is the remainder when i is divided by 3?
0
Suppose 5*x = -10, -x + 0*x - 62 = -3*f. Calculate the remainder when 78 is divided by f.
18
Let i(g) = g + 16. What is the remainder when -1 - (-29)/1 - -2 is divided by i(0)?
14
Let y = -15 - -29. Suppose -d + 8 = -y. Suppose -3 = c, 4*c - d - 23 = -3*m. What is the remainder when m is divided by 10?
9
Let s be 4/10 - (-48)/30. Let n(k) = 4*k**3 - 2*k**2 + 4*k - 3. Calculate the remainder when 55 is divided by n(s).
26
Let g(d) = -d**3 + 10*d**2 + 15*d - 20. What is the remainder when g(11) is divided by 10?
4
Suppose 0 = 5*m - 5*f + 5, -m + 0*f = -2*f + 5. Let o be 14 - 0 - 6/(-2). Suppose 0 = -3*g + o + 4. Calculate the remainder when g is divided by m.
1
Suppose 5*i + 5*z = 55, -24 = -4*i + 2*z - z. What is the remainder when (3 - (3 - -4))*-3 is divided by i?
5
Suppose 0 = 3*w + w - 5*y - 155, 0 = 5*w + 5*y - 205. Calculate the remainder whe