s the remainder when h is divided by a?
1
Suppose 3*y = 5*z - 64, 4*z = y - 23 + 77. Let o = 25 - z. What is the remainder when 20 is divided by o?
9
Calculate the remainder when 464/(-24)*6/(-4) is divided by 8.
5
Let x = 31 - 3. Let f = 29 - 19. What is the remainder when x is divided by f?
8
Let q(g) = g**2 - g - 9. Let c(z) = -z + 3. What is the remainder when c(-8) is divided by q(4)?
2
Suppose 16 = 2*l + 3*b - 11, l - 2*b = 17. Calculate the remainder when 74 is divided by l.
14
Let i = 12 - 7. Let l = -3 + i. What is the remainder when l is divided by 3 - (-5)/((-20)/8)?
0
Suppose 4*z = 4 + 4. Suppose -z*j - j + 72 = 0. Suppose 0*d + j = 2*d. Calculate the remainder when 34 is divided by d.
10
Let h be 0 - (0/2)/(-3). Suppose h = -0*t + 3*t - 54. Let g(j) = 5*j. Calculate the remainder when t is divided by g(2).
8
Suppose 236 = 3*c + j, 3*c + 9 = -5*j + 265. What is the remainder when c is divided by 39?
38
Suppose 2*d = -2*w - w + 29, 0 = -3*d + 2*w + 50. Calculate the remainder when (-3)/((-9)/138) - -1 is divided by d.
15
Let q(y) = y**3 + 12*y**2 + 10*y - 3. Calculate the remainder when 23 is divided by q(-11).
7
Suppose 362 = 2*v + 2*i + 130, 2*v = -5*i + 226. What is the remainder when v is divided by 10?
8
Suppose -47 - 9 = -4*q. Suppose -z + 5*j = -40, j = -2*z + 4*z - 80. What is the remainder when z is divided by q?
12
Calculate the remainder when 59 + 0/(6/3) is divided by 30.
29
Suppose -4*p + c = -73, 0 = -5*p + 2*c + 23 + 66. What is the remainder when p is divided by 12?
7
Let d = 166 - 151. Calculate the remainder when d is divided by 8.
7
Let o(x) = -x**2 - 8*x - 9. Let i be o(-6). Suppose -4*w + i = -w, 4*a - w = 51. Calculate the remainder when 38 is divided by a.
12
Suppose -3*g + g = -98. Let t(s) = s**2 - 4. Let h be t(-3). Suppose g - 9 = h*o. Calculate the remainder when o is divided by 3.
2
Let f = -14 - -21. Calculate the remainder when f is divided by (-10)/(1*(-1 - 1)).
2
Let t = 50 - 12. Suppose -2*d = -3*w - 75 + 13, 3*w = -2*d + t. What is the remainder when d is divided by 9?
7
Suppose -39*w + 38*w = -32. Let c(a) = -a**3 + 8*a**2 + 3*a - 12. Calculate the remainder when w is divided by c(8).
8
Let k(i) = -2*i**2 + 5*i + 3. Let q be k(4). Let a(x) = 4*x**2 - 3*x + 2. Calculate the remainder when 2/9 - 196/q is divided by a(2).
10
Suppose 0 = 2*u - 4 - 8. Suppose -5*d - 28 = -5*f + 2, 2*f = -u. Let z = 7 - d. What is the remainder when 46 is divided by z?
14
Let w(o) = o**2 - 6*o + 2. Let j(u) = -u**2 + 6. Let c be j(0). What is the remainder when (2/(-6))/((-3)/27) is divided by w(c)?
1
Let g(v) = v**3 + v**2 - 3*v + 2. Let w be g(-3). Let h = -4 - w. What is the remainder when 7 is divided by h?
1
Let r(l) = -5*l**3 + l**2 - l - 2. Calculate the remainder when 17 is divided by r(-1).
2
Let t = -21 + 48. What is the remainder when t is divided by 14?
13
Suppose -2*h = -5*h + 9. Suppose -3*v = -h*n - 15 - 24, -2*v - 5*n + 47 = 0. Calculate the remainder when 47 is divided by v.
15
Let p = -2 + 6. Calculate the remainder when p is divided by 2.
0
Suppose -2*a + 15 = 5*y - 2*y, 0 = -5*a. Calculate the remainder when 10 is divided by y.
0
Suppose n - 3 + 9 = 2*w, 0 = 3*n. Let v = 9 - w. What is the remainder when 10 is divided by v?
4
Suppose 10 = -u - 4*u. What is the remainder when 1 + 11 + 4 + u is divided by 5?
4
Let n be (-2)/(-6) - (-8)/3. Suppose v + n*j - 1 = -4, -5*j - 1 = 3*v. Calculate the remainder when 5 is divided by v.
2
Suppose 14 = p - 2. Let a = p - -33. Let h(u) = -u**2 + 6*u + 5. What is the remainder when a is divided by h(4)?
10
Let b = 13 - 7. Suppose -16 - 4 = -x - 3*a, 3*a = 4*x - 35. Calculate the remainder when x is divided by b.
5
Let m = 71 + -60. What is the remainder when 42 is divided by m?
9
Let p(f) = f - 3. Calculate the remainder when p(6) is divided by 2.
1
Suppose -4 = -s - s. Suppose r + s*r = 30. Calculate the remainder when 29 is divided by r.
9
Let q = 58 - 31. Calculate the remainder when 80 is divided by q.
26
Suppose 5*p - 210 = -4*s, 5*s + p = -44 + 296. What is the remainder when 197 is divided by s?
47
Let n(s) = 2*s + 7. What is the remainder when n(11) is divided by 17?
12
Let c = 447 + -308. Suppose -5*i - c = -5*f + 51, 0 = f - 2*i - 36. Calculate the remainder when f is divided by (-1 + 2)/(-1) + 15.
12
Suppose -17 = -4*h - 5. Calculate the remainder when 10 is divided by h.
1
Let k(j) = j**3 - 17*j**2 - 38*j + 24. What is the remainder when ((-16)/6 + 2)*-69 is divided by k(19)?
22
Suppose 0 = m + y - 25, -2*m - 29 = -3*m + y. Let x(r) = -r**3 - 4*r**2 + 4*r + 5. Calculate the remainder when m is divided by x(-5).
7
Suppose 4*u - 5*u = -15. Suppose 41 = -5*j + 261. What is the remainder when j is divided by u?
14
Let n = 0 + 0. Suppose 0*l + 2*l - 60 = n. Suppose 5*w + u - 81 = 0, 5*w - u - 19 = 60. What is the remainder when l is divided by w?
14
Let p(h) = h**3 + 8*h**2 - 5*h - 14. Calculate the remainder when p(-7) is divided by 25.
20
Let g = -57 + 68. Let d(a) = a**3 + 7*a**2 + 5*a - 4. Let j be d(-6). Suppose 0 = j*s - 4*s + 40. What is the remainder when s is divided by g?
9
Let m(s) be the third derivative of -s**4/3 - 5*s**3/6 - 2*s**2. What is the remainder when m(-7) is divided by 13?
12
Let v(o) = 3*o - 2. Let g be v(-4). Let i = -10 - g. What is the remainder when 6 is divided by i?
2
Let j(h) = 3*h - 3. Let g(c) = 6*c - 6. Let t(p) = 3*g(p) - 5*j(p). Calculate the remainder when 10 is divided by t(2).
1
Let g = 4 + -2. Let p be g*(-1)/2*-89. Suppose 4*n - p = 47. What is the remainder when n is divided by 18?
16
Suppose -2*s - 5*r = -128, -4*s + 3*r - 61 = -369. What is the remainder when s is divided by 19?
17
Suppose 0 = -7*s + 111 + 71. What is the remainder when 50 is divided by s?
24
Let y(n) = 85*n + 1. Let j be y(1). Let r(z) = 4*z**2 + 4*z + 6. Let u be r(5). Let p = u - j. Calculate the remainder when p is divided by 14.
12
Let c(v) = 2*v - 5. Let a be c(0). Let i = a - -25. What is the remainder when i is divided by 2*1/(2/11)?
9
Let g(s) = -5*s - 4. Calculate the remainder when g(-5) is divided by 6.
3
Let z = -2 + 0. Let r = 8 - z. Suppose -q = -2 - r. What is the remainder when 22 is divided by q?
10
What is the remainder when (-3)/6*(-131 + 5/(-5)) is divided by 24?
18
Suppose 0 = -q + 8 + 4. What is the remainder when 44 is divided by q?
8
What is the remainder when 123 is divided by 436/14 + 2/(-14)?
30
Let a = -134 - -145. Suppose 28 = 2*f - 4*x, -34 = -2*f + 3*x - x. Calculate the remainder when f is divided by a.
9
Let g = 11 + 0. Let s be ((-4)/(-6))/(11/(-9240)). Calculate the remainder when (-2)/18 - s/18 is divided by g.
9
Suppose 5*l - 28 = 27. Suppose -2*g = 5 + l. Calculate the remainder when 29 is divided by (-30)/4*g/6.
9
Suppose -2*z + 3*u + 11 = 0, 10 = -0*z - 2*z - 4*u. What is the remainder when 3 is divided by z?
0
Suppose 3*o = 4*y + 39, o - 3 = -0*o - 2*y. Calculate the remainder when (-2)/o + 330/27 is divided by 7.
5
Suppose 4*d - 126 = 46. Let b(o) = o**3 + 8*o**2 + 5*o + 9. Calculate the remainder when d is divided by b(-7).
20
What is the remainder when 1 - -22*2/4 is divided by 7?
5
Let j be 22/8 + (-3)/(-12). Suppose -60 - j = -3*z. Calculate the remainder when 61 is divided by z.
19
Suppose 4*u = 5*i - 1, -3*i + 2 = -2*i + u. Suppose 0 = 3*f - 3*t + 15, -2*f + 3*t - 15 = 2*f. What is the remainder when -1*f/3 + 1 is divided by i?
0
Calculate the remainder when 20 is divided by -18*-1*1/3.
2
Let s(i) = i**2 - 5*i + 6. Let w be s(4). Suppose -11 = w*b - 21. Suppose 0*n - c + 9 = n, -n + 2*c + 18 = 0. What is the remainder when n is divided by b?
2
Suppose -b - c - 3*c + 200 = 0, -5*b + 895 = -c. What is the remainder when ((-3)/(-6))/(2/b) is divided by 16?
13
Let g = -7 - -17. What is the remainder when 37 is divided by g?
7
Calculate the remainder when 64 is divided by 4/(-20) - (81/(-5) + -1).
13
Let z be (-4)/8 - (-1)/2. Suppose g + 46 = 3*p, -2*p - g + 64 - 25 = z. Let m = p - 0. What is the remainder when m is divided by 6?
5
Suppose 5*y = -3*z + 9 + 27, -5*z + 4*y = -23. What is the remainder when 27 is divided by z?
6
Suppose -4*b - 140 = -5*h, -h - 2*b - 34 = -2*h. Calculate the remainder when 37 is divided by h.
13
Let d(p) = 11*p**3 + 2*p**2 - 1. Suppose r - 2 = -1. Calculate the remain