56. Calculate the remainder when p is divided by 16.
14
Let w(g) = g**2 + 2*g - 1. Let j be w(-2). Let t be 10 + (-3 - (-1 + j)). What is the remainder when 34 is divided by t*(3/9 + 1)?
10
Suppose -2*y = 3*y, d + 4 = 4*y. Let j = 0 - d. Suppose a - j*q - 2 = 4, 3*q = 2*a - 22. Calculate the remainder when 41 is divided by a.
13
Suppose 4*d - 35 + 5 = 5*t, -2*d = -5*t - 20. What is the remainder when 19 is divided by d?
4
Calculate the remainder when 31 is divided by 4/6*3 - (-14 + 0).
15
Let d = -6 + 6. Let v(x) = -3*x + d + 0 + 5*x - 1. Calculate the remainder when 50 is divided by v(7).
11
Suppose j = 4*l - 3*l - 31, -j - 15 = 3*l. Let b be ((-2)/(-6))/(9/j). Calculate the remainder when (3 + 3)*(b + 2) is divided by 4.
2
Let z(b) = b + 7. Let m(c) = c**2 - 6*c + 4. What is the remainder when z(0) is divided by m(6)?
3
Let z(u) = -3*u + 7. Calculate the remainder when 97 is divided by z(-6).
22
Let y be 9/(-12) - (-2)/(-8). Let d be (6/4)/(y/(-2)). Suppose -r - d*r = -60. Calculate the remainder when r is divided by 8.
7
Let z = 267 - 105. Calculate the remainder when z is divided by 41.
39
Suppose -31*p - 36 = -40*p. Let o be 6/4*16/(-6). Calculate the remainder when p is divided by (-7)/o + (-1)/(-4).
0
Suppose 0 = -5*l + 4*o - 12, 0*l + 3*o = -l + 9. Suppose 0*t - 5*t + 30 = l. Calculate the remainder when 17 is divided by t.
5
Suppose 3*p + 162 = 6*p. Suppose -3*f + 4*f = -3*z + 16, -5*z = -f + 24. What is the remainder when p is divided by f?
16
Let d(a) = 19*a. Let i(z) be the first derivative of 2*z**3/3 - 7*z**2/2 + 6*z - 2. Calculate the remainder when d(1) is divided by i(4).
9
Let i(b) = b**3 + 3*b**2 + 3*b + 19. Let g(m) = -m + 24. Calculate the remainder when g(0) is divided by i(-3).
4
Suppose 147*o = 148*o - 122. Calculate the remainder when o is divided by 18.
14
Suppose 0*y + o = -y + 64, -4*o - 240 = -4*y. What is the remainder when y is divided by 17?
11
Suppose -2*a + 16 = -2*f, -7*f = 3*a - 2*f - 64. Let s(g) = g**3 - 14*g**2 + 12*g + 16. Calculate the remainder when 13 is divided by s(a).
1
Suppose -2*k + 65 = -5. Suppose 3*u - 13 = 14. Calculate the remainder when k is divided by u.
8
Let o(x) = x**2 + 6*x - 6. Let g be o(-6). Let p(z) = z + 7. Calculate the remainder when p(g) is divided by 1.
0
What is the remainder when 48/18*4*3 is divided by 17?
15
Let l(q) = -4*q**2 - q - 1. Suppose 20 = -2*n - 3*n, d + 9 = -2*n. Let w be l(d). Calculate the remainder when 6/4 - 2/w is divided by 1.
0
Let u = -5 - -10. Suppose -25 - 3 = -2*o. What is the remainder when o is divided by u?
4
Let m(a) = a - 4. Let z be m(9). Suppose 17 = z*u - 8. Suppose -4*h + 5*s = -68, -u*h + 3*s - 4*s + 56 = 0. What is the remainder when 35 is divided by h?
11
Suppose -82 - 94 = -4*d. Suppose 3*c + d = 164. What is the remainder when c is divided by 14?
12
Let i(n) = 2*n**2 - 10*n - 3. What is the remainder when i(9) is divided by 14?
13
Suppose 49 = 2*o + 5. Suppose -5*r + 14 = -3*r. Let l = 1 + r. What is the remainder when o is divided by l?
6
Let n = -22 - -77. Suppose -4*z + 103 = -53. Let y = z - 20. What is the remainder when n is divided by y?
17
Let s = 38 - -15. What is the remainder when s is divided by 27?
26
Let l(f) = -4 + 2*f + 1 + f. Let z be l(2). Suppose -3*m + m - z*u = -19, -2*m = u - 25. What is the remainder when 27 is divided by m?
13
Let k = 91 + -46. What is the remainder when k is divided by 12?
9
Let o be 0/(2 + 2 + -6). Calculate the remainder when 77 - (-5 - o - -3) is divided by 27.
25
Calculate the remainder when 93/(-33) - -3 - (-450)/66 is divided by 5.
2
Let c(z) = 8*z + 3. What is the remainder when c(3) is divided by 14?
13
Suppose -m - 5*r - 2 = -r, 3*m + 4*r = 18. Suppose f = 6*f + m. What is the remainder when (-2)/4*(f - 60) is divided by 16?
15
Suppose -a + 6 + 6 = 0. Suppose 3*d - 60 + a = 0. Calculate the remainder when 61 is divided by d.
13
Let i = 3 - -37. What is the remainder when i is divided by 22?
18
Let w(t) = -7*t**3 + t**2 + t. Suppose -6*m - 4*a = -m - 143, 0 = 3*a - 6. Calculate the remainder when m is divided by w(-1).
6
Let j = 8 - 6. Calculate the remainder when ((-1)/j)/(3/(-108)) is divided by 7.
4
Calculate the remainder when (4 - 2)/(2/17) is divided by 5.
2
Let i be -1*2 - (2 + -5). Let y = i + 22. What is the remainder when y is divided by 12?
11
Suppose -19 = -5*d + 11. Suppose 4*r = t + 83, r = d*r - 3*t - 102. What is the remainder when r is divided by 11?
10
Let q = 7 + -3. Suppose 2*j + q = -h + 3, 5*h + 4*j = 13. Suppose 8*u = -302 + 318. Calculate the remainder when h is divided by u.
1
Let z = -22 + 44. Suppose 8 = -2*s + 4*w, 0*w = -2*s + 2*w + 2. Calculate the remainder when z is divided by s.
4
Let l(p) = -3*p**3 - 11*p**2 + 2*p - 23. Let o(w) = w**3 + 6*w**2 - w + 11. Let c(j) = 2*l(j) + 5*o(j). Calculate the remainder when 1 is divided by c(8).
0
Let r = -4 - -8. Let l = 17 - 15. Suppose 19 - 1 = l*i. Calculate the remainder when i is divided by r.
1
Let i(g) = -2*g**3 - 2*g**2 - 3*g. What is the remainder when i(-2) is divided by 4?
2
Let w(m) = -m - 15. What is the remainder when w(-20) is divided by 3?
2
Let r(f) = f - 4. Calculate the remainder when 31 is divided by r(12).
7
Let i(m) = -m**3 - 7*m**2 + 1. Let v be i(-7). Let z(c) = 28*c**3 + 2*c**2 - 1. Let o = -20 + 30. What is the remainder when z(v) is divided by o?
9
Let u(r) = r**3 + 10*r**2 + 2*r + 8. Let d be u(-10). Let i = -6 - d. Let c = 49 + i. What is the remainder when c is divided by 14?
13
Let g be (12/6)/((-2)/(-44)). Suppose -3*q + g = q. What is the remainder when 30 is divided by q?
8
Let p(i) = -19*i + 1. Let s(o) = 1. Let h be 9/(-12) + (-2)/8. Let y(a) = h*p(a) + 2*s(a). Calculate the remainder when y(1) is divided by 11.
9
Let h = -49 + 93. What is the remainder when 127 is divided by h?
39
Let q(x) = 2*x - 9. Suppose 4*d - 22 - 6 = 0. What is the remainder when q(d) is divided by 3?
2
Suppose 2*a - 96 = -16. Calculate the remainder when a is divided by 15.
10
Let l(r) = -3*r - 2*r + 7 + 8*r. Suppose -10 = -2*z, 0 = 5*f - 0*f + z - 50. Calculate the remainder when l(6) is divided by f.
7
Let u(g) = -g**2 + 14*g + 5. Let q be 2*(1 - 33/(-6)). Calculate the remainder when 53 is divided by u(q).
17
Suppose 3*r - 20 = 4*r. Let j = r - -32. What is the remainder when 23 is divided by j?
11
Let u(k) = k**3 - 5*k**2 - 9*k + 4. Suppose -5*z = -3*o - 0*z + 46, z = -2*o + 9. Calculate the remainder when u(o) is divided by 10.
9
Suppose -110 = -4*n - 2*r, -10*n + 4*r + 80 = -6*n. What is the remainder when n is divided by 11?
3
Suppose -u + 5 = 0, 3*h - 3*u + 18 = -0*u. Let k(f) = -13*f**3 - f**2 + 1. Let v(n) = -n**2 + 5*n - 1. What is the remainder when k(h) is divided by v(3)?
3
Suppose -3*h + 4*g + 31 = -112, -4*g = h - 37. What is the remainder when h is divided by 12?
9
Suppose -4 = -2*i - 0. Suppose -3*d + 34 + 61 = i*q, -2*d + 74 = 4*q. Calculate the remainder when d is divided by ((-6)/5)/(2/(-25)).
14
Suppose 0 = x + 4*n - 47, -2*n - 1 = -7. What is the remainder when x is divided by 12?
11
What is the remainder when 72 is divided by (-19)/((2/(-1))/2)?
15
Suppose -2 = -d - 2*w - 3, 5*d + 5*w + 5 = 0. Let h = d + 12. What is the remainder when 41 is divided by h?
8
Let x(m) = -m**2 - 7*m + 2. Let q be x(-6). Suppose 0 = 3*i - 5*s - 64, -3*s + q*s + 25 = 0. Calculate the remainder when 23 is divided by i.
10
Let i = 6 - -7. What is the remainder when 23 is divided by i?
10
Let p(t) = -t**2 + t + 3. Let w be p(0). Suppose 5*s = 4*s + 3*d + 25, 3*s - w*d = 45. Calculate the remainder when 2 + -1 + 38 + 0 is divided by s.
9
Let a(u) = u**3 - 3*u**2 + 3*u + 2. What is the remainder when 25 is divided by a(2)?
1
Let w(g) = 3*g + 7. Suppose -4*k = -5*o - 45, 4*k = 5*k - o - 11. Calculate the remainder when w(k) is divided by 13.
11
Let s = 24 + -9. Let k(b) = -b**2 + 6*b - 3. Let f be k(3). What is the remainder when (7 - f) + (0 - -43) is divided by s?
14
Let j = -59 + 61. Calculate the remainder when j is divided by (12/(-15))/(2/(-5)).
0
Let l = 7 + -4. Suppose l*i + 60 = -i. Let a = 28 + i. What is the remainder when 24 is divided by a?
11
Suppose 4*f - 26 - 382 = 0. Calculate the remainder when f is divided by 52.
50
Let k(c) = -c + 2. Suppose t + 5*x = 17, t + 26 = -t + 5*x. What is the r