is the remainder when p is divided by 6?
4
Let y(i) = -i**2 + 6*i - 2. Suppose 3 = 4*u - 9. What is the remainder when 27 is divided by y(u)?
6
Let y = 185 - 103. Calculate the remainder when y is divided by 21.
19
Suppose -5*t + 4*t = 2*b - 93, -5*t + 2*b = -453. What is the remainder when t is divided by 24?
19
Let o(y) = 4*y**2 + 7*y + 10. Let b(t) = t**2. Let a(s) = -5*b(s) + o(s). Let k(h) = -2*h - 1. Let i be k(-4). What is the remainder when 29 is divided by a(i)?
9
Let z be (-14)/(-3) + (-4)/6. Suppose 0*b + 148 = -z*b. Let u = b - -69. What is the remainder when u is divided by 11?
10
Let z = 188 - 98. Let v = -11 + z. Calculate the remainder when v is divided by 20.
19
Let f be ((-14)/21)/(4/(-18)). Suppose 4*y + 3*s - 16 = 0, 2*s + 26 = 3*y - f. Suppose -2*i + 0 = -26. What is the remainder when i is divided by y?
6
What is the remainder when 107 is divided by 213/8 + 12*(-6)/(-192)?
26
Let b(t) = t + 11. What is the remainder when 9 is divided by b(-4)?
2
Let o = 12 + -5. Suppose -5*v + o*v - 8 = 0. What is the remainder when 7 is divided by v?
3
Let z(j) = -3*j**3 - j**2. Suppose 3*n - 26 = 3*o - 2*n, 0 = 4*o + 4*n - 8. Let x(p) = 11*p - 8. Calculate the remainder when x(6) is divided by z(o).
18
Suppose 0 = -9*w + 377 + 19. Suppose 2*p + 29 = 3*y, -4*p - 7 = -3. What is the remainder when w is divided by y?
8
Let k = 117 + -29. Calculate the remainder when k is divided by 18.
16
Suppose -1 = -j + 2. Let z be 5/2*30/25. Suppose -4 = -y + z. What is the remainder when y is divided by j?
1
Suppose 2*m - 15 = -59. Suppose -86 = -0*b - 3*b + 2*l, 0 = -2*b - 2*l + 74. What is the remainder when b is divided by (m/6)/((-6)/18)?
10
Let m(i) be the third derivative of i**6/120 - i**5/15 - i**4/3 + 7*i**3/6 - i**2. Calculate the remainder when m(6) is divided by ((-24)/(-14))/(3/14).
7
Let d = 18 - 10. What is the remainder when d is divided by 5?
3
Let o(m) = -19*m - 4. Let y(q) = -q**3 - 10*q**2 + 11*q - 3. Let z be y(-11). What is the remainder when o(z) is divided by 18?
17
Let j(o) = 12*o**2 + o + 1. What is the remainder when 45 is divided by j(-1)?
9
Let u = 18 + -16. What is the remainder when 5 is divided by u?
1
Let a = -35 - -76. What is the remainder when a is divided by 35?
6
Suppose 3*l - l = 8. Suppose 4*q = 4*r - 12, -q - 12 = -6*q - l*r. Suppose 2*a = -10, 3*a - 12 = -3*o - q*o. Calculate the remainder when 15 is divided by o.
6
Let d = -6 - -16. Let r = -10 + 33. What is the remainder when 34 is divided by r/2 - (-5)/d?
10
Let b(o) = 73*o**2 - o - 1. Calculate the remainder when b(1) is divided by 8.
7
Let t be (-2 - -1)/(1/3). Let r(g) = 8*g + 1 + 0 + 3*g**2 - 6*g. Calculate the remainder when r(t) is divided by 8.
6
Let v(q) = -q**3 - 4*q**2 - 3*q. Let p be v(-2). Let r = 3 - p. Suppose -r*j + 2 = -78. What is the remainder when j is divided by 6?
4
Suppose 0 = y - 3*g - 47, 0 = -4*g + 13 + 7. What is the remainder when y is divided by 13?
10
Suppose 4*s = f - 254, 0 = -f - s - 66 + 315. What is the remainder when f is divided by 21?
19
Suppose -c + 25 = 4*n - 2*c, 4*n - 5*c = 45. Suppose n*r - 24 = 2*r. Calculate the remainder when 22 is divided by r.
6
Suppose -2*a = -2 - 4. Calculate the remainder when 3 + a/((-9)/(-78)) is divided by 10.
9
Suppose -b = 0, -d + 0 = 3*b - 19. Calculate the remainder when 56 is divided by d.
18
What is the remainder when -3 - (-140)/44 - 1695/(-55) is divided by 7?
3
Suppose -2*j + 48 = 4*o, -4*j + 0*o = -4*o - 132. Let d = -15 + j. Calculate the remainder when 32 is divided by 52/3 - 5/d.
15
Let x = -4 + 8. Suppose -x*l + 87 = -l. Suppose 75 = 3*o + 2*o. Calculate the remainder when l is divided by o.
14
Let s = -43 + 93. Suppose -2*f + 7*f = s. What is the remainder when f is divided by 6?
4
Suppose 3*s + 99 + 103 = -4*k, -142 = 2*s - k. Suppose w = -4, -3*p + 8*w + 323 = 3*w. Let r = p + s. Calculate the remainder when r is divided by 11.
9
Let c(t) = t**3 + 2*t**2 - t. Let w be c(-2). Suppose 5 - w = 3*k. What is the remainder when 3 is divided by k?
0
Suppose t + 4 = 6*u - 2*u, -3*u + t = -2. Suppose -2*r - u*l + 18 = 0, 1 = 5*r + 2*l - 38. What is the remainder when 271/7 + 2/r is divided by 10?
9
Let l = -20 - -29. Let q be 2/12*-3*-36. Let m = q - l. What is the remainder when 16 is divided by m?
7
Suppose -2*w - 89 = -307. Calculate the remainder when w is divided by 16.
13
Let v(h) = h**2 - h + 2. Calculate the remainder when 12 is divided by v(0).
0
Let h = -11 - -16. Let m = 42 + -25. What is the remainder when m is divided by h?
2
Suppose 0 = y - 31 - 3. Let o = -21 + y. What is the remainder when o is divided by (-3)/(-6) + 26/4?
6
Suppose n - 58 = -5*c, 5*n + c = -4*c + 250. What is the remainder when n is divided by 13?
9
Suppose -4*k + 6*k - 20 = -h, 0 = 4*h - 5*k - 54. What is the remainder when 3/(((-30)/h)/(-5)) is divided by 3?
2
Suppose 0 = 5*q - 30. Let i = q - 2. Suppose 5*n - 12 = i*n. What is the remainder when 23 is divided by n?
11
Suppose 3*d + 3 - 20 = r, 0 = -2*r + 2*d - 18. Calculate the remainder when 4 is divided by (8 + r)*(1 - 0).
1
Suppose -w + 1 = 0, 4*l - 2*w - 53 = -3*w. What is the remainder when (-6)/3*(-38)/2 is divided by l?
12
Let l = 19 - -9. What is the remainder when l is divided by 8?
4
Let p(m) = -2*m - 3. Let s(n) = n + 21. What is the remainder when s(-18) is divided by p(-3)?
0
Let d be ((-2)/5)/((-8)/80). Suppose -2*k = -6*k - 2*h + 26, -4*k + d*h = -56. Calculate the remainder when k is divided by 6.
3
Let s be (-1)/(2/(-2)*-1). Let u(p) = -22*p. Let a be u(s). Let z = a - 7. Calculate the remainder when 43 is divided by z.
13
Suppose 0 = -0*k - 5*k + 10. What is the remainder when 16 is divided by k?
0
What is the remainder when 47 is divided by (1595/6)/11 + (-1)/6?
23
Let s(f) = -2*f - 9. Calculate the remainder when 14 is divided by s(-7).
4
Suppose -7*j + 9*j = 44. Calculate the remainder when 85 is divided by j.
19
Let o(p) = p. Let v be o(-3). Calculate the remainder when 27 is divided by (1 - -8) + v/(-3).
7
Let y(m) = -m**3 + 5*m**2 - m + 3. What is the remainder when y(4) is divided by 6?
3
Let t = 23 + -1. What is the remainder when t is divided by 13?
9
Let s be (-4)/((-4)/2)*14. Let h = s - 7. What is the remainder when h is divided by 12?
9
Suppose 0 = 3*f + h - 0*h - 174, 58 = f - 5*h. Calculate the remainder when f is divided by 19.
1
Let q(n) = 2*n - 5. Let d be (-4)/(-6) - 16/6. Let m = 2 - d. Calculate the remainder when 4 is divided by q(m).
1
Suppose 4*x - 54 - 26 = 0. Calculate the remainder when 99 is divided by x.
19
Let b = -27 - -42. Let f(a) = a**2 - 12*a - 15. Calculate the remainder when f(b) is divided by 11.
8
Let n(w) = -w**3 + 7*w**2 + w - 4. What is the remainder when 68 is divided by n(3)?
33
Let d = 65 + -58. What is the remainder when d is divided by 6?
1
Let i(f) = 0*f + f + 4 - 2*f. Let n be i(2). Suppose -n*a + 5*q + 53 = 0, a - 5*q + 2*q = 25. Calculate the remainder when a is divided by 12.
10
Suppose 2*z - 37 + 6 = 5*k, -3*k - 69 = -4*z. What is the remainder when z is divided by 10?
8
Let a(x) = -x + 1. Let s be a(-4). Suppose 0 = s*j - 3*j - 132. What is the remainder when (5/10)/(1/j) is divided by 12?
9
Suppose -239 = -5*m + 31. What is the remainder when m is divided by 19?
16
Suppose -2*o - 5*f + 227 = 0, -2*o = 2*o + 4*f - 424. Suppose 4*x - o = -37. Calculate the remainder when 63 is divided by x.
15
Let y(l) = 7*l + 4. Let m be (-8)/(-28) + 80/14. Let w be y(m). Suppose -3*f + w = 19. Calculate the remainder when 25 is divided by f.
7
What is the remainder when 18/27*(-294)/(-4) is divided by 13?
10
Suppose -3*d + 74 = -d. Calculate the remainder when d is divided by 13.
11
Suppose -2*a + 6 = 5*v, 0 = 5*v + 3*a - 5 + 1. Suppose v*t - 94 = -12. Calculate the remainder when t is divided by 14.
13
What is the remainder when 44 is divided by ((-2)/6)/(17/(-459))?
8
What is the remainder when (3 + -2)/(2/60) is divided by 246/15 - 2/5?
14
Suppose 0 = 2*h, -5*g + 8*g - 5*h = 21. Suppose 5*x - g + 2 = 0. Suppose z + x = 10. What is the remainder when 26 is divided by z?
8
Let x = 3 - -1. Suppose m - 50 = -a - 3*m, -52 = -2*a + x*m. Calculate the remainder when a is divided by (-1854)/(-153) + (-8)/68.
10
Suppose l - 6 = -2*h + 1, -5*h - l + 10 = 0. What is the remainder when (h - (-