late the remainder when 22 is divided by k.
6
Suppose -2*m = 4*m - 60. Calculate the remainder when 47 is divided by m.
7
Let h = 10 - 6. What is the remainder when 31 is divided by (11/(-2))/(h/(-8))?
9
Let s(f) = -f**2 - 5*f - 1. Let c be s(-6). Let p = c + 24. What is the remainder when 32 is divided by p?
15
Let a(d) be the first derivative of d**2/2 + 20*d + 3. Calculate the remainder when 19 is divided by a(-13).
5
Let g(o) = -o**2 + 4*o + 4. Suppose 4*n - 7 - 9 = 0. Let y be g(n). Let k = y - 1. Calculate the remainder when 11 is divided by k.
2
Suppose -2*z + 6*z - 64 = 0. What is the remainder when 62 is divided by z?
14
Let p be 14 - 1 - (-2)/(-2). Let d be (p/(-15))/2*-5. Suppose -v + 3*v = 2*f + 24, f = d. Calculate the remainder when 41 is divided by v.
13
Suppose j - 2*c = 26, 4*j - 3*c - 68 = 11. What is the remainder when 182/3 + (-4)/(-12) is divided by j?
13
Calculate the remainder when (-2660)/(-25) + (-6)/(-10) is divided by 27.
26
What is the remainder when 8 is divided by (10/(-6))/((-35)/126)?
2
Suppose -2*x = -n - 4, 5*n = 2*x - 7*x - 5. What is the remainder when 23 is divided by 1 + (-1 - n)*5?
5
Suppose 3*j + j - 2*y - 64 = 0, 5*y - 48 = -3*j. What is the remainder when 111 is divided by j?
15
Let g be ((-2)/(-4))/((-3)/24). Let l(q) = -2*q. Suppose r = -3*r + 92. Calculate the remainder when r is divided by l(g).
7
Let c(y) = y**2 + 17*y - 8. Calculate the remainder when c(-19) is divided by 4.
2
Suppose -203 - 121 = -9*s. Calculate the remainder when 142 is divided by s.
34
Let y = -2 - -4. Let i = 15 - 7. What is the remainder when i is divided by 1*5 + -4 + y?
2
Suppose 10*a = 3*a + 1225. What is the remainder when a is divided by 44?
43
Let k = 1147 - 779. Let w = -14 + 41. Calculate the remainder when w is divided by k/26 + 12/(-78).
13
Let f(g) = g**2 - 12*g + 16. Calculate the remainder when 19 is divided by f(11).
4
Suppose 4*j + w - 166 = 0, 0 = -6*w + 10*w - 8. Calculate the remainder when j is divided by (-61)/(-3) - (-4)/6.
20
Calculate the remainder when 60 is divided by 759/(-22)*(-2)/3.
14
Let f(n) = n - n**2 + 3*n + 13 - n**3 - 3*n. Let o be f(0). Let i = o + -9. Calculate the remainder when 6 is divided by i.
2
Let z(s) be the third derivative of s**4/6 + s**3/2 + 2*s**2. Calculate the remainder when 0 + 5/(5/44) is divided by z(3).
14
Suppose 5*g = 1069 - 334. What is the remainder when g is divided by 30?
27
Suppose -6*v + 4*v = -58. What is the remainder when v is divided by 11?
7
Let y(x) = 6*x**2 - 4*x. Calculate the remainder when y(3) is divided by (10/(-4) + -3)*-2.
9
Suppose -2*v + 21 = 1. What is the remainder when 37 is divided by v?
7
Let c(a) = 17*a**3 - a**2 - a. Calculate the remainder when 52 is divided by c(1).
7
Let p = 7 - 5. Let k(j) = 4 - 5*j + j + p*j + j**2. Calculate the remainder when k(5) is divided by 10.
9
Suppose b = c + 133, 5*b - 272 = 3*b + 4*c. Calculate the remainder when b is divided by 33.
31
What is the remainder when -48*((-6)/(-4) + -2) is divided by 0 - (-5 - -7) - -11?
6
Let g be 462/(-12)*(-4)/2. Suppose -k + g = 5*u, -k - 28 = -u + 3*k. What is the remainder when 47 is divided by u?
15
Let t be (3/6 - 1)*-166. Let j = 120 - t. What is the remainder when j is divided by 10?
7
Let g(q) = -q - 6. Let c be g(-9). Suppose 0 = -f + 16 + c. Calculate the remainder when f is divided by 10.
9
Let s(t) = -t**2 - 3*t - 4. Let d(j) = -2*j**2 - 7*j - 9. Let z(p) = 2*d(p) - 5*s(p). What is the remainder when 25 is divided by z(-4)?
11
Suppose 4*s + 12 = -2*o + 4*o, 5*o + 5*s = 30. What is the remainder when 408/32 + -2 + 6/(-8) is divided by o?
4
Suppose 15 = -2*g - g. Let o = 49 + g. Suppose -4*b - 2*h + 54 = 0, -3*b + 24 = -b + 2*h. Calculate the remainder when o is divided by b.
14
Let r(o) = -o**2 + 4*o + 5. Let c be r(4). Calculate the remainder when 7 is divided by c/(10/(-3))*-2.
1
Suppose 2*s = -5*k + 77, -2*k - 31 = -2*s + 53. What is the remainder when s is divided by 21?
20
Suppose 564 = 5*h + 149. Calculate the remainder when h is divided by 21.
20
What is the remainder when ((-146)/(-1) - -1)/((-3)/(-2)) is divided by 51?
47
Let n be (1/(-2))/((-5)/(-180)). Let m = n - -118. Let k = m + -66. What is the remainder when k is divided by 12?
10
Let l be 6/(-33) - (-4)/22. Calculate the remainder when 11 is divided by (-1)/(l + 1/(-4)).
3
Let g(i) = i**3 + 5*i**2 - i. Let w be g(-4). Suppose 0 = 4*z + 2*r - 36, 2*r - 2 - w = -2*z. What is the remainder when 13 is divided by z?
6
Suppose 6*m - 82 = 2. Calculate the remainder when m is divided by 6.
2
Let o = -19 + 49. Suppose 0 = -p - p + o. Suppose -17 = 4*v - 49. What is the remainder when p is divided by v?
7
Let d(i) = i**3 + 3*i**2 - 5*i - 3. Let l be d(-4). What is the remainder when 19 is divided by (2/(-6))/(l/(-21))?
5
Suppose 5*f + 98 = s - 1, -5*f + 168 = 2*s. What is the remainder when s is divided by 30?
29
Suppose 4*f = -m + 279, 2*f = -f - 3*m + 198. What is the remainder when f is divided by 12?
11
Suppose -5*v + 6 = -8*u + 4*u, 15 = 5*v + 5*u. Suppose 0 = -3*q + v*q + 43. Calculate the remainder when q is divided by 15.
13
Let y(l) = -l**3 - 9*l**2 - 9*l - 7. Let d be y(-8). Let s = d - -12. What is the remainder when 24 is divided by s?
11
Let k = -24 + 37. Suppose -3*w + 0 = 6. What is the remainder when 22 + 3 - 0/w is divided by k?
12
Let h be 605 + 0 - (-1)/1. Suppose -4*z - 456 = -4*m, 3*m - h = -2*m - 4*z. Let v = -83 + m. Calculate the remainder when v is divided by 12.
11
Let p = 5 - 0. Suppose z - p*z + 204 = 0. What is the remainder when 49 is divided by -2*3/((-18)/z)?
15
Suppose d = 3*d. Suppose 2*x - 10 = -d*x. Suppose x*y - 88 = -3*w, -4*w - y + 79 = -2*y. Calculate the remainder when w is divided by 11.
10
Let g(f) = f + 5. Let p be g(-3). Suppose 0 = p*j - 0*j - 84. Suppose 5*w + 0*w - 90 = -5*v, w + 2*v = 14. Calculate the remainder when j is divided by w.
20
Suppose 0*c + 4*w + 23 = c, 4*c = w + 17. What is the remainder when 11 is divided by c?
2
Let o(b) = 1 + 5*b + 0 - 5. Let v = 262 + -253. Calculate the remainder when o(4) is divided by v.
7
Let o = -59 - -38. Let v = 9 + o. Calculate the remainder when (v/10)/(12/(-40)) is divided by 2.
0
Suppose -31 = -2*k + 39. Let h = -16 + k. Calculate the remainder when 36 is divided by h.
17
Suppose 5*z = -10, 2*m + 3*m + 179 = -2*z. Let t = -21 - m. What is the remainder when 51 is divided by t?
9
Suppose 10*m = 15*m - 25. Suppose 3*k + k - 59 = 3*x, 0 = -m*x - 5. What is the remainder when 55 is divided by k?
13
Suppose 0 = 5*d - x + 311, 53 + 7 = -d - 2*x. Let o = 101 + d. Calculate the remainder when o is divided by 6.
3
Let o = -7 - -24. What is the remainder when 31 is divided by o?
14
Let p = -11 + 13. Calculate the remainder when ((-92)/(-8))/1*p is divided by (-6)/(2/(-4)*1).
11
Let n(f) = f**3 + 10*f**2 - 2*f - 11. Let y be n(-10). Let z(d) = -d**3 + 10*d**2 - 5*d + 3. What is the remainder when z(y) is divided by 10?
9
Let p = 7 + -2. Suppose h + p = -4*h, -128 = -2*s + 4*h. Calculate the remainder when s is divided by 21.
20
Suppose j = y + 132, -5*j + 4*y + 680 = 3*y. What is the remainder when j is divided by 14?
11
Let l(o) = o**2 - 3*o - 7. Calculate the remainder when 32 is divided by l(6).
10
Let g = -104 + 160. Let v = -9 - -24. Let z = 34 - v. What is the remainder when g is divided by z?
18
Suppose 4*y = y + 180. Suppose -14 - y = -2*m. What is the remainder when m is divided by 13?
11
Suppose 5*u = b + 15, -5*b + 10 = 5*u - 35. Suppose -5*t + 85 = -15. What is the remainder when t is divided by u + -4*(-6)/8?
6
Let t(r) = -4 + 7*r**2 - 9*r + 6 - 6*r**2. Let p be t(-9). Let w = p - 114. Calculate the remainder when w is divided by 17.
16
Suppose 5*r - 3*l = 128, r = 3*l + 37 - 9. What is the remainder when r is divided by 15?
10
Suppose 2*m - 2*r = -4*r - 16, 0 = -4*m + 4*r + 8. Let d be 9/((-1 - -3) + -1). Let l = d - m. Calculate the remainder when 23 is divided by l.
11
Suppose 5*p - d = 99, 30 = 2*p - 2*d - 16. Calculate the remainder when 35 is divided by p.
16
Let z(i) = -i**2 + 13*i - 18. Calculate the remainder when 33 is divided by z(10).
9
Suppose 4*p + 3*i = 2*i + 76, 4*i = -4*p + 76. Let r(b) be the first derivative of b**2 - 4*b + 4. Calculate the remainder when p is divided by r(7).
9
Suppose -