y**2 - 5*y. Calculate the remainder when 47 is divided by t(6).
5
Suppose -2*p = -m - 34, -m = 2*p + 2*m - 18. Let y(l) = -l + 55. What is the remainder when y(11) is divided by p?
14
Suppose x - 4*x = -54. What is the remainder when 51 is divided by x?
15
Let g = -10 - -24. Let c = g - 12. Calculate the remainder when (-3)/((-6)/(-5))*-2 is divided by c.
1
Suppose 0 = s - 5*l - 21, -2*l - 17 = -s - l. Let r(y) = y**3 + 5*y**2 + 5*y + 4. Calculate the remainder when s is divided by r(-2).
4
Suppose 0 = 4*x - 7*x + 12. Suppose x + 5 = 3*q. Calculate the remainder when 9 is divided by q.
0
Let m = 4 - 0. Suppose 3*u - 12 = 0, 3*i + 20 = 4*i + m*u. What is the remainder when 11 is divided by i?
3
Suppose -9 = -2*w - 3*h, -4*h - 4 = -4*w + 4. What is the remainder when w is divided by 2?
1
Suppose -5*d + 544 = 3*l, 0*l - 924 = -5*l - 4*d. Let n be (-1)/(-5) + l/10. Let g = n + -9. Calculate the remainder when 18 is divided by g.
8
Let s(d) = -14*d + 75. Calculate the remainder when 19 is divided by s(5).
4
Let v(z) = 3 - 1 - 5 - 13*z. Let n be v(-5). What is the remainder when (n/6)/(1/3) is divided by 11?
9
Let b be -5*((-13)/5 - -1). Suppose 0*o - 4 = -o. Suppose -4*h - b - 8 = 0, o*h - 6 = -2*g. What is the remainder when 21 is divided by g?
10
Let x(t) = t**2 + 9*t + 1. Let n be x(-10). Suppose -4 = -4*d, -3*l + 2*d - 1 - 1 = 0. Suppose 2*v - n - 5 = l. Calculate the remainder when 15 is divided by v.
7
Suppose -376 - 44 = -6*f. Calculate the remainder when f is divided by 24.
22
Suppose 0 = -2*w - 4. What is the remainder when (-59)/w + 1/(-2) is divided by 8?
5
Suppose 2*o = -0*o + 10. Suppose -2*y + 2*f + 2 = 0, -5*f + 4 = -f. What is the remainder when o is divided by y?
1
Let s(v) be the second derivative of v**5/20 - v**4/3 - v**3/2 - v**2 - 4*v. What is the remainder when 31 is divided by s(5)?
7
Suppose -f + 4*h + 0*h + 52 = 0, 0 = -5*f - h + 197. Let y(b) = 20*b**2 - b. Calculate the remainder when f is divided by y(-1).
19
Suppose -3*u = 2*s - 95, 0 = -4*s - 4*u + 111 + 77. What is the remainder when s is divided by 16?
14
Let p(x) = 4*x - 2. Calculate the remainder when p(6) is divided by 8.
6
What is the remainder when -2*(33/(-6) + -3) is divided by 1/(((-1)/(-6))/1) - 0?
5
Let c(v) = -22*v**3 + 5*v**2 - 4*v. Let l(o) = -o**3 + o**2 - o. Let w(a) = -c(a) + 4*l(a). What is the remainder when (9/6)/3*98 is divided by w(1)?
15
What is the remainder when (-2)/5 + 558/45 is divided by 7?
5
Suppose 5*w = -l + 4 + 25, -3*w + 4*l - 1 = 0. Calculate the remainder when 8 is divided by w.
3
Suppose 2*r + 1 = 5. Suppose -r*h = -6 - 12. What is the remainder when h is divided by 6?
3
Suppose -3*s - 4*d + 20 = 0, 4*d = 3*s - s + 20. Suppose s = 4*t - 3*t, -5*y + 5*t + 95 = 0. Calculate the remainder when y is divided by 10.
9
Suppose -8*s + 19*s = 275. Suppose 4*a + 4*z - 302 = 2*z, -4*a + 2*z + 282 = 0. Calculate the remainder when a is divided by s.
23
Suppose 5*j + 50 = -2*q + 162, -q = -3*j + 76. Calculate the remainder when j is divided by 5.
4
What is the remainder when 20 - (0 - -4) - 0 is divided by 6?
4
Let s = 4 + -12. Let r = 6 + s. What is the remainder when r + 1 + 19/1 is divided by 10?
8
Let u = 1 - -3. Let f(p) = p**3 - 4*p**2 + p + 2. Let m be f(u). Suppose -h + m*h = 100. What is the remainder when h is divided by 7?
6
Let j(a) = 6*a**2 + 6*a. Let p be j(-5). Suppose 35 = 5*x - p. What is the remainder when (-1 - -2) + (x - -1) is divided by 17?
16
Suppose 2*g - 3 = d, 2*d + 2*g = -0*d + 18. Let l = 18 + -5. Calculate the remainder when (24/(-10))/(d/(-50)) is divided by l.
11
Let o be (-1 + (0 - 0))*-2. Suppose o*i + 38 = 4*i. Suppose 0 = 4*c + 5*m - i, c + 2 = m - 0*m. Calculate the remainder when c is divided by 1.
0
Let r = -5 + 15. What is the remainder when 48 is divided by r?
8
Suppose 5*j - d = -3*d + 139, -2*j = 3*d - 60. Calculate the remainder when 215 is divided by j.
26
Let h = -62 + 77. What is the remainder when 29 is divided by h?
14
What is the remainder when ((-2225)/10 + -4)*2/(-3) is divided by 39?
34
Let h(i) = -i + 12. Let u be h(7). Suppose -149 = -2*p - c, -3*c - 228 = -u*p + 2*p. What is the remainder when p is divided by 19?
18
Let n(k) = k**3 - 11*k**2 + 10*k + 3. What is the remainder when 4 is divided by n(10)?
1
Let u(i) = 4*i - 3. Let k = 1 - -3. What is the remainder when u(k) is divided by 4?
1
Let y be -7 - 2/(0 + -2). Let h be (-44)/3 + (-2)/(-3). Let b = y - h. What is the remainder when 15 is divided by b?
7
Suppose -2*o + 996 = 4*o. Calculate the remainder when o is divided by 21.
19
Let i be 34/(-10) - (-4)/10. What is the remainder when 4/(-6) + (-14)/i is divided by 1/(-1) - (-6)/2?
0
Let y(z) = z**3 - 7*z**2 + z. Suppose 5*b = 3*b + 46. Suppose 0 = 3*h - 37 - b. What is the remainder when h is divided by y(7)?
6
Suppose 4*r - 3*r = 2*n - 39, -r = -5*n + 102. Calculate the remainder when 41 is divided by n.
20
Suppose -l + 90 = 2*l. Suppose -4*x = 6 - 50. Calculate the remainder when l is divided by x.
8
Suppose -2*p = 3*p + 3*h - 236, 5*h + 64 = p. Calculate the remainder when p is divided by 17.
15
Suppose 6 - 61 = -5*x. Let g(n) = 7*n**2 + n. Let f(i) = -15*i**2 - 3*i. Let l(u) = 4*f(u) + 9*g(u). What is the remainder when x is divided by l(2)?
5
Let f be (3*1)/(6/(-16)). Suppose -2*t - 30 = -y - 3*t, 5*t = -2*y + 57. Calculate the remainder when y is divided by 2/f - 195/(-12).
15
Let x(m) = -17*m - 13. What is the remainder when 218 is divided by x(-4)?
53
Suppose 0 = 4*n - 206 - 74. Suppose 5*d - 170 = -4*s, -4*d - 2*s = -2*d - n. Calculate the remainder when d is divided by 11.
8
Suppose p = 5*x - 20, -3*p - 16 - 22 = -4*x. What is the remainder when 39 is divided by (2 + -3)/(1/p)?
9
Let d(x) = -x**2 + 11*x + 1. What is the remainder when d(8) is divided by 7?
4
Suppose -2*h - 45 = -3*z + h, 0 = -4*h - 4. Calculate the remainder when z is divided by 5.
4
Let v(m) = -m**3 - 30*m**2 - 30*m - 4. Calculate the remainder when v(-29) is divided by 14.
11
Suppose -2*h - 2*f + 8 = -4, 2*h + 3*f - 12 = 0. Suppose 0 = 4*i - 5 - 83. Calculate the remainder when i is divided by h.
4
Let v = 4 + 5. What is the remainder when 17 is divided by v?
8
Suppose -2*z = 5*p - 55, -5*z + z + 80 = 4*p. What is the remainder when z is divided by (-16)/(-3) + 6/9?
3
Let p = 10 - 5. Suppose -p*f + f = -52. Let j = 3 + 4. Calculate the remainder when f is divided by j.
6
Suppose -u = 4*q + 7, u - 8 = -5*q + 4*q. Calculate the remainder when 38 is divided by u.
12
Calculate the remainder when -1 + 2 + 8*6 is divided by ((-3)/(-6)*-26)/(4/(-4)).
10
Suppose -2*v = 4 - 10. What is the remainder when 6/27*6*6/2 is divided by v?
1
Let a(s) = -s**3 + s**2 + 2*s. Let p be a(2). Suppose 4*d - 52 = 2*z, p = d + 4*z - 2*z - 8. Let i = -32 + 67. Calculate the remainder when i is divided by d.
11
Let t(u) = 2*u + 2*u**2 + 1 + 2*u**2 - 5*u**2 + 6*u. Let n(p) = -p. Let o(m) = -6*n(m) - t(m). Calculate the remainder when o(9) is divided by 16.
14
Let r(m) = 2*m**2 + 3*m + 3. Let s(v) = 4 + 4*v - 2 + 0*v. Calculate the remainder when s(8) is divided by r(-3).
10
Suppose 55*s = 51*s + 52. What is the remainder when 24 is divided by s?
11
Let m(x) = 2*x - x + 9*x**3 - 22 + 21 - x**2. Calculate the remainder when m(1) is divided by 3.
2
Suppose -5*j - z = -3*z - 80, 0 = 5*j - 5*z - 65. Calculate the remainder when 46 is divided by j - ((-16)/(-2))/4.
14
Suppose -51 = -4*i - 175. Let o = i + 44. Calculate the remainder when 51 is divided by o.
12
What is the remainder when (-1 - 0) + 2 - (-190)/5 is divided by 8?
7
Let t be (531 - 2 - -1)/(-1). Suppose 0 = 2*m - 18 - 10. What is the remainder when ((-3)/2)/(15/t) is divided by m?
11
Let l = -14 - -4. Let v be (-2)/(-4) + l/(-4). Calculate the remainder when 35 is divided by v + 13 + 0 + 2.
17
Suppose 7*f - 6*f = 3*g + 19, 0 = -2*g - 8. Calculate the remainder when 26 is divided by f.
5
Let y = -35 + 60. Suppose -2*d - 18 = -4*d. Calculate the remainder when y is divided by d.
7
Let q = -35 - -67. Let g(a) = a**2 - 2*a - 13. Calculate the remainder when q is divided by g(6).
10
Suppose 72 = -2*h + 4. Let p = 57 + h. Calculate the remainder when 43 is divided by p.
20
Let m be 55/4*16/4. Let t = m - 36. What is the remainder when 56 is divided by t?
18
Let u(v) = -12*v - 2.