hen f(3) is divided by 13.
12
Let a(v) = 5*v**2 + 3*v + 1. Suppose 3*n + 3 = -3. Let f = 10 + 17. What is the remainder when f is divided by a(n)?
12
Let n(d) = 8*d + 70. What is the remainder when 34 is divided by n(-8)?
4
Let h(m) = -5*m - 11. What is the remainder when 18 is divided by h(-3)?
2
Let t = 39 + -25. Calculate the remainder when t is divided by 12/18 + 66/9.
6
Suppose -50 = 4*x + x. What is the remainder when 560/9 + 4/(-18) is divided by (-3 - x)*(0 + 3)?
20
Let a(j) = j + 9. Let b be a(-8). What is the remainder when b*(16 - 0/3) is divided by 6?
4
Let w(f) = 2*f - 9 + 5*f + 4*f - 6*f. What is the remainder when 61 is divided by w(6)?
19
Let j be 2/(-3) - 166/(-6). Let u = -13 + j. Calculate the remainder when 53 is divided by u.
11
Suppose -5*r = -2*o - 0*o - 1, -3*r = o - 5. Let g(n) = -n**2 + 1 - 7*n - 6 + o. What is the remainder when 25 is divided by g(-3)?
7
Let u = -3 - -1. Suppose 2*c - 3*c = -3*m + 113, 0 = 5*m + 5*c - 195. What is the remainder when m is divided by 5*3 - (-4)/u?
12
Suppose 5*c = 4*c + 2*r + 152, 2*r = 3*c - 444. Let w = c + -95. What is the remainder when w is divided by 13?
12
Suppose 8*p - 15 = 185. What is the remainder when p is divided by 13?
12
Let u(v) = v**3 + 7*v**2 - 11*v - 9. Suppose -58 - 28 = 2*o. What is the remainder when (o/4)/(2/(-8)) is divided by u(-8)?
13
Calculate the remainder when 76 is divided by (-4)/24 - (-978)/36.
22
Let r(h) = h**2 + 3*h + 7. Calculate the remainder when r(-7) is divided by 8.
3
Suppose x + 25 = 2*x. Suppose -167 = -3*z - 4*f, -2*z - f - f + 108 = 0. What is the remainder when z is divided by x?
24
Let r = 12 - -7. Suppose 0 = -4*l - 16*l + 100. What is the remainder when r is divided by l?
4
Suppose -5*w - 15 = -2*c, 0*c - c = -3*w - 5. What is the remainder when 59 is divided by c?
19
Let d(j) = -5 + 7 - j + 5. Let i(x) = -6*x + 2. Calculate the remainder when i(-3) is divided by d(0).
6
Let d(u) = u**2 - 1. Let r be d(-1). Suppose -2*p = -3*t - 27, r*p + 51 = 2*p + 5*t. What is the remainder when 70 is divided by p?
16
Suppose 0 = -4*l + 138 + 70. Suppose -a + 2*a - 16 = -t, -4*t - 5*a = -62. What is the remainder when l is divided by t?
16
Let r(n) = 2*n + 37. What is the remainder when r(-6) is divided by 19?
6
Let v(c) = -c**3 - 7*c**2 - 8*c - 1. Suppose -3*g + 20 = -76. What is the remainder when g is divided by v(-6)?
10
Suppose 2*v + 5 - 27 = 0. Suppose -58 - 65 = -3*r. What is the remainder when r is divided by v?
8
Let l = 2 + 3. Let t(s) = s + 4. Calculate the remainder when t(l) is divided by 4.
1
Suppose -3*g + b = -2*g - 32, 0 = -2*g - b + 76. Calculate the remainder when g is divided by 13.
10
Suppose -21 - 99 = -6*k. Let p(f) = f**2 - 8*f + 4. Calculate the remainder when p(11) is divided by k.
17
Suppose -g - j + 40 = 0, 4*g - j - 154 = -2*j. Suppose -4*i - 2*t = -5*i + 5, t = -4*i + g. Calculate the remainder when i is divided by 4.
1
Let x = -24 + 32. What is the remainder when 29 is divided by x?
5
Suppose 3*i - s - 4*s - 25 = 0, 0 = 4*i + 2*s - 16. Suppose -i*k = 3 - 48. Let j(l) = -3*l + 8. What is the remainder when j(-6) is divided by k?
8
Let t be (-5)/10 - 202/(-4). Suppose t = 5*s - 75. Suppose -z = 3*r - s, 6*z - 3*z - 3*r = 15. Calculate the remainder when 29 is divided by z.
9
Let h(g) = g**2 - 4 + 8 - 2*g - g - 3*g. Calculate the remainder when 11 is divided by h(6).
3
Let j be 385/25 + (-2)/5. Let t = 9 - j. What is the remainder when 2 is divided by (3 + -6)*4/t?
0
Let q = 274 - 141. What is the remainder when q is divided by 34?
31
Let u = 31 - 17. Let d(i) = -4*i + 4. Let s(k) = -k**3 - 3*k**2 + 2*k - 3. Let q be s(-3). What is the remainder when d(q) is divided by u?
12
Suppose -5*k - 4*h + 5 = -16, 3 = -3*h. What is the remainder when 9 - 8/(0 - 2) is divided by k?
3
Let x(g) = -g**2 - 8*g + 13. Let u be x(-11). Let y = 4 - u. Suppose 6 = -2*t - 4, 5*r - 50 = -3*t. Calculate the remainder when y is divided by r.
11
Let g be 1/(-3*3/(-153)). Let k be g/((3/(-6))/(-1)). Let d = k - 5. What is the remainder when d is divided by 10?
9
Suppose o = -5*d + 15, d - 3 = -1. Calculate the remainder when 258/o + 4/10 is divided by 18.
16
Suppose -6*i + 48 = -3*i. Let p(k) = -k**3 - 15*k**2 - 15*k - 5. What is the remainder when i is divided by p(-14)?
7
Calculate the remainder when 69 is divided by (-13)/52*(-36)/1.
6
Suppose -4*d + 1 = -3*d - v, -19 = -4*d + v. Suppose 2*z - d*z + 8 = 0. Suppose -u = z*u - 24. What is the remainder when 15 is divided by u?
7
Suppose 4*p - p - 15 = 0. What is the remainder when ((-20)/30)/((-2)/27) is divided by p?
4
Let v(y) = 2*y**2 + 2*y - 1. Let l be v(2). Let h(z) = 1 + 4*z**2 + 2*z + l*z**2 - 5*z**2. What is the remainder when h(-2) is divided by 13?
11
Let h(n) = 23*n**3 - 2*n**2 + 1. Let w be h(1). Suppose -2*l - 1 = 5*k, 2*k = -0*l + 2*l + w. What is the remainder when (-5 + 1)*50/l is divided by 9?
7
Let w = 20 + 10. Calculate the remainder when w is divided by 16.
14
Suppose 5*h = 4*m, -2*m + 0*m + 6 = -h. What is the remainder when 13 is divided by m?
3
Let r be (-2)/5 - 6/10. Let s = 0 - r. What is the remainder when -12*(-12)/90 - 4/(-10) is divided by s?
0
Suppose k + 4*j - 33 = -0*j, 2*k - 2*j - 66 = 0. Suppose -4*m + 3*p = -33, -p = -m - 3 + 10. What is the remainder when k is divided by m?
9
Suppose 2*o + 11 = 51. Suppose -2*u + 11 = -k, u - 5*k = -2*u + o. What is the remainder when 18 is divided by u?
3
Suppose 3 = -o, 0 = -4*q - o + 4 + 9. Suppose 0 = 4*s - 5*i - 277, -q*i = -s - s + 146. Calculate the remainder when s is divided by 16.
15
Let d be 1/(-1*3/(-9)). Let o(i) = i. Calculate the remainder when 5 is divided by o(d).
2
Let l = 11 - -10. Let v(n) = n**2 + 9*n - 8. What is the remainder when v(5) is divided by l?
20
Suppose 146 = 5*b + 1. What is the remainder when b is divided by 16?
13
Suppose -4*x = -w - 0*w - 103, -3*w + 3 = 0. Let q = 43 - x. Calculate the remainder when q is divided by 9.
8
Let s(k) = k - 1. Let p be s(-3). Let v = 7 + p. Suppose 4*x - 24 = -4, -3*j - v*x + 99 = 0. What is the remainder when j is divided by 15?
13
Let p be 2/2 + 2 + 36. Suppose -5*x + 1 = -p. What is the remainder when 18 + (-4 + 6 - -2) is divided by x?
6
Let m be (-10)/20 - (-2)/4. Let x(i) = 3*i**2 + 2. Calculate the remainder when x(-3) is divided by -1*-5*(m - -2).
9
Let s be (5/2)/5*6. Let z = s - 1. Suppose z*p + 3*h - 2*h = 35, -2*h - 6 = 0. What is the remainder when p is divided by 10?
9
Suppose 3*l - 68 = 4*q, -q = -3*l + q + 76. Calculate the remainder when l is divided by 8.
4
Let w = 89 - 57. Calculate the remainder when 126 is divided by w.
30
Let u be (-18)/(2/3*-3). Suppose -3*a + 3 = u. Calculate the remainder when 16 is divided by 1/(-2)*9*a.
7
Suppose 3*s = 5*w - 124, -8*w + 2*s - 17 = -9*w. Calculate the remainder when w is divided by 7.
2
Let b = -38 - -41. Let s = 6 + -3. Suppose -s*o + 21 = -0. What is the remainder when o is divided by b?
1
Suppose 3*p - 6 = -0*p. What is the remainder when 9 is divided by p?
1
Let l = -7 + 8. Suppose -5*m - 54 = 4*a, m + 2*a = -m - 22. Let j = l - m. Calculate the remainder when 20 is divided by j.
9
Let x be (4 - (4 - 2)) + -2. Suppose 4*l + x - 1 = m, 5*l - 24 = -2*m. What is the remainder when 38 is divided by 1 + m/(14/24)?
12
Let i be (1 + -11 + 1)*1. Calculate the remainder when 39 is divided by (i/3 - -1)*-10.
19
Suppose 5*g - 23 + 1 = d, -3*d = -4*g + 11. Suppose -g*h + 27 = -78. What is the remainder when (h/(-9))/((-2)/30) is divided by 12?
11
Let n = 70 - 26. What is the remainder when n is divided by 15?
14
Suppose 14 = -10*v + 11*v. Calculate the remainder when 40 is divided by v.
12
Let t(z) = -17*z. Let v be t(5). Let s = v - -141. Let w(d) = 2*d**2 - d + 4. Calculate the remainder when s is divided by w(3).
18
Let y be (0 - 62)*(-9)/6. Suppose -y + 33 = -3*b - 2*f, 0 = -5*b + 5*f + 75. What is the remainder when b is divided by 11?
7
Let q be 7*-1 + 7/(-7). Let l(g) be the first derivative of g**2/2 + 13*g + 1. What is the remainder when 14 is divided by l(q)?
4
Let t(r) = 10*r - 24. Calculate the remainder when t(6) is divided by 19.
17
Let k(w) = -w - 10. Let a be k(-12). Calculate the remainder when a*1*1/2 is divided by 1.
0
Let y = -7 + 18. Suppose -o + c + y = 0, -3*o = c - 0*c - 41. What is t