emainder when p is divided by 12?
10
Suppose 0*d + 3*y = d - 13, -39 = -3*d - y. Calculate the remainder when d is divided by 3.
1
Let r be 2*((-1)/(-2) + -1). Suppose -6 = -3*g + 21. Calculate the remainder when 1 + r - (-25 + 0) is divided by g.
7
Let o = -26 - -39. Calculate the remainder when 47 is divided by o.
8
Suppose 0 = -3*y + 2*i + 13, 8*i = -3*y + 3*i + 20. Suppose -u + 107 = y*h, u = h - 9 - 10. What is the remainder when h is divided by 11?
10
Let l = -11 + 26. Let a(p) = 6*p + 3. What is the remainder when a(4) is divided by l?
12
Let h(f) = -3*f - 18. Let o be ((-52)/8)/(5/10). Calculate the remainder when h(o) is divided by 12.
9
Suppose 0 = u - n, 0 = -2*u + 5*u - 4*n + 3. What is the remainder when 70/u + 3/(-9) is divided by 12?
11
Let x = -1 + -6. Let h = 3 - x. What is the remainder when 27 is divided by h?
7
Calculate the remainder when (0 - (149 + -2))*(-2)/6 is divided by 10.
9
Suppose 45 = -5*s + 4*g - 142, -5*g = 5*s + 205. Calculate the remainder when (8/6)/((-2)/s) is divided by 9.
8
Let d = 4 + -4. Suppose 0*k + 5*k - 65 = d. Suppose 3*m = -0*m + 15. Calculate the remainder when k is divided by m.
3
Let w = -4 - -12. Let p = w + -6. Suppose -8 = -a + 2*v, 0 = v + 3*v + 12. What is the remainder when p is divided by a?
0
Suppose 10*l - 2*l = 72. Calculate the remainder when 33 is divided by l.
6
Let u(q) = 4*q**2 + 5*q - 7. Let z = -13 - -69. What is the remainder when z is divided by u(2)?
18
Let d(c) = -c**2 - 2*c + 4. Let k be d(-4). Calculate the remainder when 56 is divided by (-114)/k*6/9.
18
Suppose -4*d = -0*d - 60. Calculate the remainder when 86 is divided by d.
11
Let s(g) = -2*g + 34. Calculate the remainder when 15 is divided by s(16).
1
Let g(a) = a**3 + 9*a**2 + 2*a + 4. Let r be g(-4). Let s = r - 51. Calculate the remainder when s is divided by 9.
7
Let t(f) be the third derivative of f**5/60 + f**4/6 + 7*f**3/6 - 4*f**2. What is the remainder when 47 is divided by t(-5)?
11
Let w = 32 + -17. Let q(l) = -10*l + 3. Suppose -2*c = -6*c - 16. What is the remainder when q(c) is divided by w?
13
Suppose 52 = 2*g + 3*o - o, g - 3*o = 30. Suppose 3*k = -5*l + 75, 26*k - 22*k = l - 15. What is the remainder when g is divided by l?
12
Suppose v = -3*y + 56, -5*y + 2*y + 2*v + 41 = 0. Let r = 30 - y. What is the remainder when 51 is divided by r?
12
Suppose 2*j = -13 + 69. Calculate the remainder when j is divided by 5.
3
Let y(a) be the second derivative of a**4/12 + 4*a**3/3 + 3*a**2/2 + a. What is the remainder when 45 is divided by y(-9)?
9
Let f(j) = -3*j + 1. Let t be f(-2). Let c(d) = d**2 - 3*d - 8. Suppose 3*z - 10 = 11. Calculate the remainder when c(t) is divided by z.
6
Suppose -2*w - w + 42 = -4*t, -t = w - 7. Let g = 15 - 32. Let i = 1 - g. Calculate the remainder when i is divided by w.
8
Let z = 23 + -20. Let k(p) = 5*p - p**2 + 0*p**2 - 3 + 0*p**2. Calculate the remainder when 8 is divided by k(z).
2
Let k = -3 - -10. What is the remainder when 27 is divided by k?
6
Suppose k - 2*k = -4. What is the remainder when 14 is divided by k?
2
Let h(y) = y**2 - 5*y + 4. What is the remainder when 26 is divided by h(5)?
2
Let m = -7 + 14. Suppose -5*h = 5*k - 15, -3 = -5*h + 3*h - 5*k. What is the remainder when m is divided by h?
3
Let m(q) = 2*q**2. Let w be m(-1). Let d(g) = 4*g**2 - 2*g - 1. What is the remainder when 43 is divided by d(w)?
10
Let d(j) = 20*j + 1. Let c be ((-2)/6)/((-2)/12). Let l = -1 + c. What is the remainder when d(l) is divided by 11?
10
Suppose 50 = 4*k + 2*a + a, -5*k + a = -72. Let y(r) = -r**2 - 12*r + 4. What is the remainder when y(-6) is divided by k?
12
Suppose 7 = 3*k + 1. What is the remainder when 9 is divided by k?
1
Let t(g) = -g**2 + 10*g - 5. Calculate the remainder when 76 is divided by t(7).
12
Let i(j) = -3*j**3 + 2*j**2 + j + 3. Calculate the remainder when 129 is divided by i(-2).
30
Suppose q + 3*q = -12. Let l(t) be the first derivative of t**3/3 - 2*t**2 + t + 1. What is the remainder when l(q) is divided by 8?
6
Suppose -2*a + 3 = -a. Suppose 4*s - 36 = -5*n, -s = 2*n + a*n - 24. Suppose -l + 0*l = -n. Calculate the remainder when 6 is divided by l.
2
Let k = 253 + -133. Let i = k - 72. Calculate the remainder when i is divided by 17.
14
Let b be (30/(-25))/((-8)/20). Suppose 0 = b*l - 52 - 20. Calculate the remainder when 46 is divided by l.
22
Suppose p - 28 = 54. Let l = -56 + p. Calculate the remainder when l is divided by 35*((-3)/5 - -1).
12
Let m = -3 - -5. Calculate the remainder when 10 - (-1 - (-3 + -3)) is divided by m.
1
Let f(n) = n**3 - 3*n**2. Let t be f(3). Calculate the remainder when 14 is divided by -2 - (1 - t)*-7.
4
Let k(r) = r**3 - 8*r**2 - 5*r + 4. Let p = 28 - 7. What is the remainder when k(9) is divided by p?
19
Let d be (-37)/(-2)*(-8)/(-4). Let y be (-1 - -6)/((-2)/(-10)). Let k = d - y. What is the remainder when 23 is divided by k?
11
Let o be ((-1)/(-2))/(5/20). Suppose 4*j = -5*m + 81, m + o*m + 4*j = 47. Calculate the remainder when m is divided by 6.
5
Let r = 7 + -5. Let u be (2/(-5))/(2/(-20)). Suppose 3*o - 8 = -4*q + o, -3*q + 1 = u*o. What is the remainder when q is divided by r?
1
What is the remainder when 200 is divided by (6/12)/(2/204)?
47
Let i(q) = -36*q**3 - 1. Suppose -3*h = 3*f + 6, f - 4 = 5*h - 0*f. What is the remainder when i(h) is divided by (-8 - 1)/(6/(-8))?
11
Suppose 1 = 3*j - 164. What is the remainder when j is divided by ((-42)/(-5))/(172/40 + -4)?
27
Suppose 4 = -a, -3*a = 2*y + 3*y - 173. What is the remainder when y is divided by 19?
18
Let b = -7 + 32. Suppose -4*o + b = -23. What is the remainder when o is divided by 7?
5
Let m(c) = c**2 + 2*c - 4. Let w be m(-4). Suppose -2*k - 16 = -2*f + 12, f = -w*k - 11. Calculate the remainder when f is divided by 4.
1
Let o(g) = g**3 + 5*g**2 + 5*g + 7. Calculate the remainder when o(-4) is divided by 1.
0
Let u be -4 + 1 + 1/(-1). Let w(r) = -2*r - 3. Let x be w(u). Suppose -2*d + 23 = -4*q - 3, 0 = x*q. What is the remainder when 24 is divided by d?
11
Let s be (8/12)/(6/27). What is the remainder when (83 - -10) + (-1 - s) is divided by 30?
29
Suppose a - 6 = 4*a. Let b be ((-6)/15)/(a/10). Suppose 0 = -4*p + 8, k = b*p - 0*p + 7. Calculate the remainder when 21 is divided by k.
10
Let z(q) = -q**3 + 7*q**2 - 4*q + 7. Let t(g) = 8*g**3 - 3*g**2 + 2*g. Calculate the remainder when t(2) is divided by z(6).
18
Let h(k) be the first derivative of k**3/3 + 5*k**2/2 - 9*k + 1. Calculate the remainder when 30/4 + (-1)/(-2) is divided by h(-7).
3
Let n(w) = w**3 + 11*w**2 + 8*w - 10. Let q(g) = g - 10. Let r be q(0). Calculate the remainder when 19 is divided by n(r).
9
Let c(j) = -6*j + 7. Calculate the remainder when c(-3) is divided by 7.
4
What is the remainder when 41 is divided by ((-8)/6)/(6/(-63))?
13
What is the remainder when ((-1)/2)/((-1)/82) is divided by ((4 - -17)*-1)/(-1)?
20
Let i(y) = -y**3 - 4*y**2 + 4*y - 2. Let j be i(-5). What is the remainder when (-10)/j*(-9 + 3) is divided by 11?
9
Suppose 3*u + 3*k - 72 = 0, 80 = 5*u - 9*k + 6*k. Calculate the remainder when u is divided by 7.
5
Suppose -8 = -5*m + 62. Let g = -10 + m. What is the remainder when 10 is divided by g?
2
Let x = 87 - 59. Suppose 0 = -2*t + 3 - 37. Let w = t + x. Calculate the remainder when w is divided by 4.
3
Suppose 3*g - 5*h = 4*g - 15, 3*g - 5*h + 15 = 0. Suppose 0 = -4*u + 4*t - g*t + 40, 0 = -4*u - 2*t + 22. Calculate the remainder when 20 is divided by u.
6
Let q(o) = o + 10. Let j be ((-1)/(-2))/((-2)/(-8)). Suppose 19 = j*v - 5. Calculate the remainder when q(13) is divided by v.
11
Suppose 8*b - 7 = b. Calculate the remainder when (-2)/5*-5*1 is divided by b.
0
Suppose 5*m - 22 = 4*m. Let f = 43 - 31. Calculate the remainder when m is divided by f.
10
Let n be ((-2)/4)/((-2)/4). Let c = n - -8. What is the remainder when 34 is divided by c?
7
Suppose -4*t = -3*h + 67, 0 = -5*h - 2*t + 4*t + 93. Let y be ((-156)/(-10))/(4/10). Suppose 3*i = y - 12. Calculate the remainder when h is divided by i.
8
Suppose 3*i - 7*i + 12 = 0. What is the remainder when 9 is divided by i?
0
Suppose -5*u = -5*l - 0*u + 15, 5*l + u = -9. Calculate the remainder when 34 is divided by l/2 - (-15)/2.
6
Let l be (-5)/(-10)*(1 + 0 + 13). Suppose 6 = 2*c - 0. Suppose 0 = -