n k(3) is divided by 9?
6
Suppose -c + 19 = -32. Let o = 27 - c. Let i = o - -31. What is the remainder when i is divided by 5?
2
Let m = 25 - 23. Calculate the remainder when (m/((-4)/(-6)))/(3/38) is divided by 14.
10
Let w = -197 - -229. Suppose a - 66 = 4*a. Let z = a + w. Calculate the remainder when z is divided by 4.
2
Suppose -48 = -0*l - 16*l. Let o(k) = -k**2 - 6*k - 2. Let f be o(-5). What is the remainder when l is divided by (f/(-5))/(2/(-10))?
0
Let y = 635 + -625. Let v = -195 + 382. Suppose 3*b - v = -5*i, -i - b + 32 = -5. Calculate the remainder when i is divided by y.
8
Suppose 42*p + 1930 = 52*p. What is the remainder when p is divided by 20?
13
Calculate the remainder when 1/((0 + 1)/177) is divided by (-3300)/(-88)*(-6)/(-5).
42
Let t = 28 - 24. Let h be 8/(-6)*(1 + -4). Suppose -h*i = 2*n + 3*n - 22, -32 = -4*n + t*i. What is the remainder when 10 is divided by n?
4
Let s = 541 - 286. Suppose -2*q + 497 = 5*t - s, -3*t - 3*q + 453 = 0. Calculate the remainder when t is divided by 17.
14
Let h be -5 - -4 - 1100/(-2). Suppose 0 = -4*s - 3*t + h, t - 4*t = -5*s + 693. Let p = -74 + s. Calculate the remainder when p is divided by 22.
20
Suppose -3*z - 47 + 125 = 0. What is the remainder when 82 is divided by z?
4
Suppose 5*w = v + 6, 0*w = 5*v + w + 108. Let x = 56 - v. Calculate the remainder when x is divided by 20.
17
Suppose 207 - 47 = 2*i. Suppose -3*j = j - i. What is the remainder when (-57 + 3)/(-1) - -5 is divided by j?
19
Let k(b) = -15*b. Let f be k(-5). Suppose 13*w = 8*w + f. What is the remainder when 57 is divided by w?
12
Let v(x) = x**2 + 7*x + 2. Let b be v(-7). Suppose -4*d - 25 = -4*k + 11, 0 = -2*d - b. What is the remainder when (k/6)/((-10)/(-75)) is divided by 4?
2
Let p = 51 + -47. Suppose 111 + 161 = p*c. What is the remainder when c is divided by 18?
14
Let r(j) = 4*j**2 - 4*j + 1. Suppose 0 = -3*o + o - 3*m + 84, -o - 3*m + 48 = 0. Suppose 0 = 2*k + 2*k - o. Calculate the remainder when r(3) is divided by k.
7
Suppose 30 = 5*c + 10. Suppose c*r - 63 - 233 = 0. Suppose 0 = 2*v - 2, -3*v + 1 - r = -4*j. Calculate the remainder when j is divided by 7.
5
Let y(m) = m**3 - 5*m**2 - 5*m. Let s be 3/(-5) + 90/25. Suppose -25 + 70 = s*n. What is the remainder when n is divided by y(6)?
3
Suppose 4*w - 75 = -3*n + 73, 5*n - w - 239 = 0. Let k = -32 - -61. Let q = k + -4. Calculate the remainder when n is divided by q.
23
Let v be ((-4)/(-5))/(14/10 + -1). Suppose 0*j + 4*x = 2*j - 188, -j - v*x = -82. What is the remainder when j is divided by 23?
19
Suppose 0 = 5*i - u - 628, 4*u - 250 = -2*i + 5*u. Suppose a = 8*a - i. Suppose -7 = 4*o - 47. Calculate the remainder when a is divided by o.
8
Suppose 6*b - 4*b = 144. Suppose 0 = 4*q - 66 + 6. What is the remainder when b is divided by q?
12
Suppose 4*s - 2*n = 2*n + 212, 0 = -5*s - 4*n + 310. Calculate the remainder when s is divided by 29/232 - 334/(-16).
16
Let a = -13 + 16. Let q be 2 - (-6 - (-9)/a). Suppose q*s - 2*r - 55 = 3*r, 4*r + 32 = 3*s. Calculate the remainder when 34 is divided by s.
10
Let y(d) = -38*d + 8. Let j be y(4). Let p = 210 + j. Suppose 0 = 2*s - b - 30, -100 = -5*s - 5*b + 5. What is the remainder when p is divided by s?
15
Let r = 23 + 11. What is the remainder when r is divided by 30/(-1*27/(-18))?
14
Suppose -3*h + h - 60 = -4*j, -h = -j + 15. Calculate the remainder when 26 is divided by j.
11
Let w be (-7)/((-28)/32) + -2. Suppose -w = -0*l - 2*l. Suppose -108 = -7*t + l*t. What is the remainder when 52 is divided by t?
25
Let t = -961 - -1026. Calculate the remainder when t is divided by 23.
19
Suppose -3*r - 61 = 2*d, d + 1 - 30 = 2*r. Let h = 11 + r. Let c(v) = 2*v**2 + 3*v + 3. Calculate the remainder when c(h) is divided by 15.
12
Let b(f) = 75*f**2 - 4*f + 4. Let u(t) = t - 13. Let o be u(14). Calculate the remainder when b(o) is divided by 21.
12
Suppose 0 = -3*s - 3*d + 51, -4*s - 5*d + 60 + 12 = 0. Let x = -97 - -158. Calculate the remainder when x is divided by s.
9
Let d = 25 + -41. Calculate the remainder when (80/d)/((-1)/3) is divided by 8.
7
Let b(f) = -6*f**3 - 2*f**2 + 3*f + 5. Let d be b(-2). Let c = d - 19. What is the remainder when c is divided by 7?
6
Let q(h) = h**3 + 6*h**2 - 4*h - 8. Suppose 4*a - 164 = 4*i, -2*i + 10 - 2 = 0. Calculate the remainder when a is divided by q(-6).
13
Let x(n) be the second derivative of -n**5/20 - n**4/3 + n**3 + 29*n**2/2 - 23*n. What is the remainder when 141 is divided by x(-5)?
21
Suppose 10*v + 5 = 5*v. Let d = v - -7. Calculate the remainder when 90 is divided by ((-4)/d)/((-6)/207).
21
Let j = -143 + 165. Calculate the remainder when 173 is divided by j.
19
Suppose j = 4*p + 15, 0 = 5*j + 2*p - 58 - 39. Calculate the remainder when 36 is divided by j.
17
Suppose 0 = -23*t + 2439 + 1655. Calculate the remainder when t is divided by 14.
10
What is the remainder when 118 is divided by (-1 + 18/12)*42?
13
Suppose 2*x = 301 - 209. What is the remainder when x is divided by 12?
10
Suppose 4*i = 3*z - 44 - 12, -4*i = 4*z - 56. What is the remainder when 75 is divided by z?
11
Suppose -7*r + 4*r + 6 = 0. Suppose -r*f = 3*f - 390. Suppose -2*s = 3*c - 0*s - f, 0 = 3*c + 5*s - 69. What is the remainder when c is divided by 11?
6
Let l = -41 - -39. Calculate the remainder when 47 is divided by (4/10*-2)/(l/25).
7
Suppose -v - 105 + 161 = 0. Suppose -25 = 5*g, 5*t - g + 2*g - 70 = 0. Calculate the remainder when v is divided by t.
11
Let b(f) = 4*f**2 + 31*f - 58. Let u = -32 + 45. What is the remainder when b(2) is divided by u?
7
Let p be 8 - (-1)/(3/(-9)). Suppose 2*y + 2*y = -3*v - 47, p*v + 4*y = -89. Let h = -13 - v. What is the remainder when 13 is divided by h?
5
Suppose 5*w = 32*w - 81. What is the remainder when 45 is divided by w?
0
Suppose -36*c + 39*c = 9. Calculate the remainder when 7 is divided by 7/7*(0 + c).
1
Let g be (20/25)/((-6)/(-75))*12. Let q be 1 - 1 - (1 + 82). Let k = g + q. What is the remainder when k is divided by 20?
17
Suppose 4*c = 4*q - 84, -3*c - q + 30 = 97. Suppose -51*k - 68 = -53*k. Let j = k + c. Calculate the remainder when j is divided by 8.
4
Let f(o) = 23*o**3 - 2*o**2 + 16*o - 27. Calculate the remainder when f(2) is divided by 43.
9
Suppose -4*l + 2*s = -12, 0 = -11*s + 6*s - 10. Suppose -l*n + 116 = 2*n + 4*t, -4*n = 3*t - 120. What is the remainder when 129 is divided by n?
30
Let r = -53 + 160. Suppose 0 = 3*c - 5*c + 44. Calculate the remainder when r is divided by c.
19
Let v(p) = 2*p**2 - 17*p - 31. What is the remainder when v(11) is divided by 14?
10
Let i be 1 - ((-2 - -62) + -1). Suppose 57*t - 2277 = -42*t. Calculate the remainder when t is divided by i/(-5) + 6/15.
11
Suppose -3*g + 8 = 4*f, -5*f + 18 = 5*g + 3. Calculate the remainder when 10 is divided by g.
2
Suppose -i = -4*y - 75, 4*i + 4*y - 360 = -0*i. Suppose -i - 128 = -5*v. Let t = v + -31. What is the remainder when 34 is divided by t?
10
Suppose -3*b - 3*g = g - 169, 113 = 2*b + 3*g. Calculate the remainder when 549 is divided by b.
54
Let o(k) = 5*k - 1. Let v(z) = -8*z. Let i be -1 + 2 + (-6)/2. Calculate the remainder when v(i) is divided by o(2).
7
Suppose -3*s - 2*m = -129, -5*s + 5*m + 8 = -182. What is the remainder when 448 is divided by s?
38
Let u(t) = 30*t - 66. What is the remainder when u(11) is divided by 30?
24
Let a = 10 - 4. What is the remainder when ((-4)/a)/(10/(-285)) is divided by 11?
8
Let f be (-227)/(-9) + (-4)/18. Suppose -4*p = -n + 55 - 15, 2*n = -3*p + f. Let v = n + -15. What is the remainder when 12 is divided by v?
2
Let k be 3/(((-45)/(-6))/5). Suppose 5*d = k*d, 6 = 2*z + 2*d. Suppose z*p - 20 = -2*p, 5*w - 3*p = 78. Calculate the remainder when 50 is divided by w.
14
Let i(a) = -37*a**3 - 2*a - 1. Let b be i(-1). Suppose -b = -3*v + 5*o - 0*o, v + 14 = -5*o. Let n = 1 + v. Calculate the remainder when n is divided by 4.
3
Let u(m) = m**2 + 5*m - 3. Suppose 0 = 2*t - 0 - 16. What is the remainder when t is divided by u(-6)?
2
Let m(y) = 34*y + 6. Let o be m(6). Suppose -2*v = -2*c - 144, 0 = 2*c - 4*v + o - 68. Let p = c + 140. What is the remainder when p is divided by 35?
32
Suppose 0 = j - 57 + 42. Calculate the remainder when 74 is divided by j.
14
Suppose -5*i - 27 = 4*s, -2*s + i + 1 = 4. Let o be (-3)/(s + -6)*