 4*d + 19. What is the remainder when d is divided by 12?
0
Suppose 5*k - 8 - 7 = 0. Let d = 4 + -2. What is the remainder when k is divided by d?
1
Suppose 2*g + 2*b - 14 = 0, -3*g - 12 = -4*b - 5. Suppose -g*w + 40 = w. Calculate the remainder when w is divided by (3/2)/((-6)/(-16)).
2
What is the remainder when 9 is divided by (6/2)/(8/8)?
0
Let c(s) = s**2 - s. Let k(m) = -6*m**2 + 12*m + 9. Let h(t) = -5*c(t) - k(t). What is the remainder when 15 is divided by h(9)?
6
Let n = 46 - 32. Calculate the remainder when n is divided by 3.
2
Suppose 26 = -0*j + 2*j. Let h(v) = -v**2 + 6*v. Let d be 3 - (0 + 1)*-2. What is the remainder when j is divided by h(d)?
3
Suppose 10*s - 7*s - 123 = 0. Calculate the remainder when s is divided by 12.
5
Let p(h) = -h**3 + 11*h**2 + 13*h + 11. What is the remainder when 68 is divided by p(12)?
22
Suppose 2*o - 72 = -4*o. What is the remainder when 59 is divided by o?
11
What is the remainder when (-1390)/(-25) + (-6)/10 is divided by 19?
17
Let m = 24 + 13. Let f be ((-28)/6)/((-3)/18). Let q = f + -15. Calculate the remainder when m is divided by q.
11
Let y = 5 + -2. Suppose 0 = 5*a - f - 186, 5*a - y*f = -f + 187. What is the remainder when a is divided by 13?
11
Calculate the remainder when (-552)/(-15) + -3 - 7/(-35) is divided by 9.
7
Let j be 5/4 + (-12)/(-16). Let c = 7 - j. Suppose 0 = o + 2*v - 10, 0 = 2*o - c*o - 5*v + 26. Calculate the remainder when o is divided by 2.
0
Let x = -57 + 75. What is the remainder when x is divided by 14?
4
Let w(y) = -y**2 - 6*y + 5. Let d be w(-6). Suppose 2*f - r = -0*f + 14, -44 = -d*f - 2*r. What is the remainder when 22 is divided by f?
6
Let s(u) = 3*u**2 + u - 1. Calculate the remainder when s(-3) is divided by 21.
2
Let x(c) = 4*c**3 + 2*c**2 - 1. Suppose 2 + 0 = 2*a. What is the remainder when 13 is divided by x(a)?
3
Let k(g) = -12*g + 1. Let s be k(6). Let u = s + 120. What is the remainder when u is divided by 13?
10
Suppose -4*u + 64 = -3*f, 0*u + 2*f + 47 = 3*u. Calculate the remainder when 6/39 + 63/u is divided by 3.
2
Suppose -7*z + 95 = -2*z. What is the remainder when 36 is divided by z?
17
Suppose d + p + 24 = 0, -5*d + 5*p = -0*p + 160. Let v = d - -20. Let o(y) = -y - 2. Calculate the remainder when 16 is divided by o(v).
4
Let f = 109 + -77. Calculate the remainder when 93 is divided by f.
29
Let h = -317 + 532. What is the remainder when h is divided by 27?
26
Let i(g) = 11*g**2. Let x be i(1). Suppose -2*l - 3 + x = 0, 0 = z + 3*l - 20. Suppose -7*p - 14 = -8*p. Calculate the remainder when p is divided by z.
6
Suppose 284 = 4*g + 2*r, 280 = 4*g + r - 0*r. What is the remainder when g is divided by 35?
34
Suppose 2*z - 38 = 28. Calculate the remainder when z is divided by 12.
9
Let y(v) = -2*v + 11. Calculate the remainder when y(-6) is divided by 12.
11
Let t(n) = -n**3 + 11*n + 21 - 39 + 12 - 6*n**2. Let y(z) = z**3 - 5*z**2 - z - 3. Let f be y(5). Calculate the remainder when t(f) is divided by 12.
10
Let y(f) = f**3 - 2*f**2 + 2*f + 2. Suppose -25 = -3*s + 2*p, -2*s = -4*s + 2*p + 16. Suppose r = -s + 12. Calculate the remainder when y(2) is divided by r.
0
Let j(s) = s**2 - 4*s - 2. Let i be j(5). Let r be 6 + 3*(-4 + i). Suppose 5*x = 4*a - 17, r*a + 0*x = -x + 8. What is the remainder when 6 is divided by a?
0
Let k(o) be the first derivative of -3*o**2 + 2*o + 6. Suppose -2*v + 68 = 2*v - 4*c, 5*c = -3*v + 35. Calculate the remainder when k(-7) is divided by v.
14
Suppose -3*z = -z - 46. Let a = -2 - -2. Suppose a = -0*v + v - 3*t, t = 4. Calculate the remainder when z is divided by v.
11
What is the remainder when -3 + (-1)/(-3)*69 is divided by 2?
0
Let u = -46 + 88. Calculate the remainder when u is divided by 11.
9
Suppose 7*q - 2*q = -2*c - 2, 4*c = q - 4. Let h(v) be the second derivative of -v**3/6 + v**2 + 4*v. What is the remainder when 4 is divided by h(q)?
0
Suppose 4*y - 64 = -4*u, 3 = 5*y - 7. Suppose -2*z + 0*z - 8 = 0, s = 2*z + 49. What is the remainder when s is divided by u?
13
Let a = 44 + -5. What is the remainder when a is divided by 10?
9
Suppose 156 = 5*a - 2*w, -4*w - 132 = -a - 3*a. Calculate the remainder when a is divided by 17.
13
Let m = 2 - -29. What is the remainder when m is divided by 17?
14
Let x(m) = -4*m + 1 + 2*m**2 + 2 + 0. Let b be x(2). Suppose -b*l + 21 = 5*j, 5*j = 7*l - 2*l + 5. What is the remainder when 8 is divided by j?
2
Suppose 10*c = 15*c - 40. Suppose -3*w = v - 31, -4*v + w + 107 = 22. Calculate the remainder when v is divided by c.
6
Let s(w) = 15*w - 8. Let x(g) = -7*g + 4. Let q be (-1)/1*5/1. Let b(h) = q*x(h) - 2*s(h). What is the remainder when 46 is divided by b(4)?
14
Suppose 0 = 4*o - 100 - 220. What is the remainder when o is divided by 27?
26
Suppose -8 - 4 = -4*s. What is the remainder when (2/s)/(12/54) is divided by 2?
1
Let l(i) = -8*i**2 - 7*i - 2. Let m be l(-3). Let y = 4 + -8. Let j = y - m. Calculate the remainder when j is divided by 17.
15
Suppose u = -4*u + 25. Suppose -u*y + 48 = -2*y. Suppose 0*g = -2*g + y. What is the remainder when g is divided by 3?
2
Suppose 0 = -5*o - 7 + 127. Suppose -4*q + 195 - 7 = 0. What is the remainder when q is divided by o?
23
Let t be -8*2/(-4) + 1. Suppose -39 + 134 = t*y. What is the remainder when y is divided by ((-2)/3)/((-2)/21)?
5
Let k(l) = -2*l + l + 0*l + 0 + 2. Calculate the remainder when k(0) is divided by 2.
0
Suppose 0*q - 4*q = 3*h - 44, -2*h = -q - 22. Calculate the remainder when 83 is divided by h.
11
Let d(q) = q**3 - 8*q**2 + 6*q + 10. Let f be d(7). Suppose 25 = -5*v, w - 3*v + 5 = f*w. Calculate the remainder when w is divided by 6.
4
Suppose 6*a - 2*f = 2*a + 142, -6 = -2*f. Suppose 0 = 4*v - 3*d - 82, 2*v + 2*v = -2*d + 72. What is the remainder when a is divided by v?
18
Suppose -2*j - 2*j + 4 = -2*t, 0 = 5*j + 4*t - 31. What is the remainder when 12 is divided by j?
0
Let p(a) = 8*a - 2*a**2 - a**2 + 2*a**2. Let d be p(6). Calculate the remainder when 38 is divided by (d*-1 + -1)/(-1).
12
Let b(z) = -z**3 + 7*z**2 + 2*z + 2*z**3 - 1 - 8*z. Suppose -4*i + 3*i = 7. What is the remainder when b(i) is divided by 14?
13
Let r(g) = g + 1. Let f be r(1). Let z(q) = 4*q**3 - q**2 - 2*q. Calculate the remainder when z(f) is divided by 13.
11
Suppose 4*h + 0*z = -3*z - 3, -h = 2*z + 7. Suppose -s = -h*u - 4*s + 42, -4*s = -2*u + 46. What is the remainder when u is divided by 9?
8
Let m = -6 - -29. Calculate the remainder when m is divided by 8.
7
Let k(o) = o**3 - 7*o**2 - 19*o + 12. Suppose x + 3*x = 4*s + 56, 5*x - 49 = -2*s. What is the remainder when x is divided by k(9)?
2
Let a(l) = l**2 + 3*l - 2. Let d(u) = 4*u + 0*u - 3*u. Let s be d(2). What is the remainder when 23 is divided by a(s)?
7
Suppose 2*y - 2 = 2*q + 6, 2*q = 5*y - 20. Suppose -2*r - 20 = -y*r. Calculate the remainder when 27 is divided by r.
7
Let u(c) = c**3 - 13*c**2 + 2*c - 16. Calculate the remainder when u(13) is divided by 3.
1
Suppose 37 = 5*o - 43. Calculate the remainder when o is divided by 9.
7
Let r(f) be the first derivative of 18*f**2 + f - 3. Calculate the remainder when r(1) is divided by 13.
11
Let b(r) = -13*r**2 - r**3 + 2*r + 4*r**2 + 7*r**2. What is the remainder when 3 is divided by b(-3)?
0
Suppose 4 - 1 = 3*m. Calculate the remainder when 13 is divided by 88/16 + m/(-2).
3
Let q(b) = b**2 - 8*b - 2. Let u = 11 - 6. Calculate the remainder when q(10) is divided by u.
3
Let c(g) = -8*g - 28. Calculate the remainder when 171 is divided by c(-9).
39
Let p(n) = -4*n - 11 + 4*n - 2*n. Calculate the remainder when 29 is divided by p(-13).
14
Let r = -8 + 14. Calculate the remainder when 27 is divided by r/21 + 136/14.
7
Suppose j - 304 = -j. What is the remainder when j is divided by 22?
20
Let y(x) = x**2 - 3*x - 3. What is the remainder when y(5) is divided by 5?
2
Let d = 10 + -8. Suppose d*r - 37 - 13 = 0. What is the remainder when r is divided by 9?
7
Let y(u) = 4*u + 5. Let b(j) = 3*j + 4. Let n(c) = 5*b(c) - 4*y(c). Let q be (0 - 2)/((-4)/(-6)). Calculate the remainder when 4 is divided by n(q).
1
Let x = 5 + -8. Let u(j) = -3*j - 6. Calculate the remainder when 21 + 1 + (-3)/x is divided by u(-6).
11
Let x(g) = 11*g**2 - 3*g + 1. Suppose -4*v + 5*f = 12, 5*v - 25 = -3*f - 3. What is the remainder when x(v)