en k is divided by 12?
4
Let v(i) = -i + 2. Let u be v(2). Suppose u = 4*a + a + 35. Let y = a + 15. Calculate the remainder when 20 is divided by y.
4
Calculate the remainder when 1996/16 + (-6)/(-24) is divided by 42.
41
Suppose -j + 7 = 5*i + 3, -5*j + 5*i + 140 = 0. What is the remainder when 71 is divided by j?
23
Suppose 0 = 6*f - 21 - 285. Let k = -64 - -267. What is the remainder when k is divided by f?
50
Let c = -223 + 173. Let y = c + 88. Calculate the remainder when 264 is divided by y.
36
Calculate the remainder when 73 is divided by -1*(3 - 4)/(13/871).
6
Let w(h) = h - 5. Suppose -g + 0*g - 32 = -3*k, 2*k + g = 18. Let l = 0 + 4. What is the remainder when w(k) is divided by l?
1
Let p = 10 + -1. Suppose -8*c + 11*c - p = 0. Suppose 2*a = -4*o + 34, c*a = 5*o - o + 21. Calculate the remainder when 31 is divided by a.
9
Let o = -604 + 663. Calculate the remainder when o is divided by 7.
3
Let t(g) = g**3 + 16*g**2 - 39*g + 17. Suppose 2*j + 4*r = 40, -3*j + 59 = 2*r + 3*r. What is the remainder when t(-18) is divided by j?
17
Suppose 174 = 4*n - 46. Suppose -l - 4*z = 35, 2*z + 3 = -1. Let a = l + n. Calculate the remainder when a is divided by 10.
8
Let b(q) = 2*q**2 - 23*q + 9. Let p be b(11). What is the remainder when 33/p*(-24)/6 is divided by 23?
20
Let t(u) = -12*u**3 + u**2 + u - 1. Let a be t(1). Let k = a + 22. Let s = -5 - -47. What is the remainder when s is divided by k?
9
Suppose -5*a + 102 = 2*g, 3*g + 5*a - 124 - 24 = 0. Suppose 0 = x + p - 13, -p + 2*p + 3 = 0. What is the remainder when g is divided by x?
14
Let p be (-9)/6 - 3/6. Let j(c) = -c**3 - c**2 + 1. Let v = 142 + -124. What is the remainder when v is divided by j(p)?
3
Let s(j) = 15*j**2 + j + 29. Calculate the remainder when s(4) is divided by 55.
53
Calculate the remainder when 3/24*-4 - (-594)/4 is divided by 38.
34
Let q(s) = -s**3 - 6*s**2 - 6*s + 5. Let d be q(-5). Let z = 197 - 145. Suppose 0 = 6*k - d*k + z. What is the remainder when 24 is divided by k?
11
Let y(u) = 12*u + 3. Suppose 356 = -41*i + 870 + 388. What is the remainder when y(3) is divided by i?
17
Let y(h) = 121*h - 3. Calculate the remainder when y(1) is divided by 65.
53
Let v(a) = a**2 + a - 3. Suppose -84*k + 95*k = 44. Calculate the remainder when v(3) is divided by k.
1
Let i be 1 - (-1)/((-2)/(-4)). Suppose 0 = -6*o + o - 2*v, i*o - 26 = 4*v. Suppose 36*w - 32*w = 16. What is the remainder when w is divided by o?
0
Let z = -26 + 37. What is the remainder when 184 is divided by z?
8
Let k(d) = 12*d**3 - 2*d**2 + 1. Let t(l) be the third derivative of -l**4/3 + l**3/2 - 4*l**2. What is the remainder when t(-2) is divided by k(1)?
8
Suppose -2*x - 2*x = -28. What is the remainder when (13 + -5)*2 - 7 is divided by x?
2
Let l = -1178 + 1462. What is the remainder when l is divided by 36?
32
Suppose 0 = 4*i - 5*s, i - 3*s = -2*s. Suppose i = -0*b + 6*b - 60. What is the remainder when b is divided by 4?
2
Let f be 1*-2 - (-15 - -8). Suppose -268 = -4*m + 2*q, 0*m + 350 = f*m + 5*q. Calculate the remainder when m is divided by 19.
11
Let q(s) = 14*s - 10. Let v be q(6). Suppose 0 = -3*l + v - 11. Calculate the remainder when l is divided by 12.
9
Let j(y) = y**3 - 8*y**2 + y - 3. Let a be j(8). Suppose -a*x = 5*s - 5, 0 = -s + x + 4 + 1. Calculate the remainder when s is divided by 3.
0
Let c = 107 + -74. What is the remainder when c is divided by 4/(28/35) + 7?
9
Suppose -58*y + 4139 = -37447. What is the remainder when y is divided by 12?
9
Let z be 15/(-15)*7*14/2. Let b = z - -52. Calculate the remainder when 44 is divided by b.
2
Calculate the remainder when 238 is divided by (3404/(-115))/(4/(-10)).
16
Suppose -72 + 22 = -3*q - 2*g, 66 = 5*q - g. Calculate the remainder when (-998)/(-14) + 2 + (-4)/q is divided by 37.
36
Suppose 16*q = 12*q + 308. What is the remainder when 227 is divided by q?
73
Suppose -3*z = z - 60. Suppose -15 = 13*w - 80. Suppose 0*n + 3*n - 2*s - z = 0, 5*n - 25 = -w*s. Calculate the remainder when 6 is divided by n.
1
Let q = -7 - -19. Let l(m) = 10*m + 2. Let b(g) = g. Let h(n) = 3*b(n) - l(n). What is the remainder when h(-5) is divided by q?
9
What is the remainder when 2 + -6 + -4 + 146 is divided by 19?
5
Suppose 2*r + 12*v = 15*v + 131, -3*r - v + 169 = 0. Calculate the remainder when 170 is divided by r.
54
Let d = -4 - -10. Suppose -2*r + 3*r + 4*j + 9 = 0, -d = 4*r + j. Calculate the remainder when 13 is divided by 12/3*(r - -2).
1
Let j(s) be the second derivative of 29*s**3/6 + s**2/2 + 2*s. What is the remainder when j(3) is divided by 15?
13
Suppose 4*k = -2*m + 156, -4*k = k - 5*m - 225. What is the remainder when k is divided by 32?
9
Suppose 0 = 27*n + 5*n - 512. Calculate the remainder when 350 is divided by n.
14
Suppose 0 = 6*z - 2*z. Suppose p + s + 23 = 0, -s - 5 = -z. What is the remainder when 42 is divided by (99/p)/(2/(-4))?
9
Suppose 0 = -13*y + 9*y + 484. Calculate the remainder when y/5 - (-2)/(-10) is divided by 7.
3
Suppose -2*v + 7*v = -4*m + 19, -4*v + 20 = 4*m. Calculate the remainder when 10 is divided by m.
4
Suppose 2*w = -9*s + 4*s + 80, s - 142 = -4*w. Calculate the remainder when 82 is divided by w.
12
Let n = -21 + 13. Let c be 1 + 0 - (n + 6). Suppose 3*o + 7 = -3*t + 22, c*t - 36 = 4*o. Calculate the remainder when 22 is divided by t.
6
Let y(v) = -4*v**2 + v + 3*v + 11*v**2 - v**3 + 2. Let d = -30 - -37. What is the remainder when 88 is divided by y(d)?
28
Let k = -265 + 299. What is the remainder when k is divided by 14?
6
Calculate the remainder when (7/14*2)/(2/78) is divided by 14 - (0 + (-2)/(-1)).
3
Let j(l) = -l**3 + 10*l**2 - 10*l + 10. Suppose 2 = a, i + 0*i - 1 = 4*a. What is the remainder when 1 is divided by j(i)?
0
Suppose -j + 5*t = 3*j - 522, j = -t + 135. Let y = j - 94. Let n = 73 - y. What is the remainder when n is divided by 9?
7
Suppose -t + 90 = 22. Suppose 12*o - 11*o - t = 0. What is the remainder when 271 is divided by o?
67
Suppose 0 = j - b - 56, -3*j + 147 = -0*j + 4*b. Let a(r) = -r**3 - 6*r**2 - 3*r. Let m be a(-6). Let f = 32 - m. What is the remainder when j is divided by f?
11
Suppose -2*k - 4*x = -46, 3*k - 4*x + 9*x - 72 = 0. Calculate the remainder when 44 is divided by k.
15
Suppose 0 = -5*i - j + 442, -6*j + 11*j = -3*i + 252. What is the remainder when 533 is divided by i?
88
Let s be (-496)/(-3) - (-11)/(-33). Suppose -4*c = -c - s. What is the remainder when c is divided by 19?
17
Calculate the remainder when ((-2)/(-2))/((-39)/(-3939)) is divided by 18.
11
Suppose -3*h + 2*x + 2277 = 0, 17*h - 4*x - 1526 = 15*h. Calculate the remainder when h is divided by 127.
122
Let i(y) = y**3 - 37*y**2 + y - 17. Calculate the remainder when 797 is divided by i(37).
17
Let q(x) = 11*x**2 + 18. Suppose 5*c = 5*o + 35, 4*c + 2*o = -7 + 35. What is the remainder when q(0) is divided by c?
4
What is the remainder when 19140/270 + (-1)/(-9) is divided by 25?
21
Let x(l) = -l + 36. Suppose 2*k - 2*j - 130 = j, 0 = -5*k - 3*j + 283. Calculate the remainder when k is divided by x(21).
14
Let d(l) = 284*l - 19. What is the remainder when d(4) is divided by 140?
137
Let c = -294 + 567. Calculate the remainder when c is divided by 69.
66
Let c = 74 + 77. Calculate the remainder when c is divided by 41.
28
Calculate the remainder when (-5)/(75/(-2485)) - 28/(-21) is divided by 26.
11
Let r(g) = -g**3 - 6*g**2 - 2*g - 12. Let w be r(-6). Suppose 5*l = -w*l + 30. Suppose -5*b = -2*b - 48. What is the remainder when b is divided by l?
4
Suppose 2*b + 3 = -1. Suppose 0 = -3*o, -5*x - 2*o + 13 = -52. Calculate the remainder when (-496)/(-10) - b/5 is divided by x.
11
Let v(g) = 39*g + 288. Calculate the remainder when 141 is divided by v(-7).
6
Let n(q) = 11*q**2 + 13*q - 36. Let l(f) = 5*f**2 + 6*f - 18. Let c(z) = 9*l(z) - 4*n(z). Calculate the remainder when c(11) is divided by 42.
41
Let g be ((-6)/4)/(15/100). Let r be 10 - (g/(-5) - 0). Calculate the remainder when (-7 + r/(-2))*-1 is divided by 8.
3
Let r(c) = 29*c**3 + 4*c**2 - 2*c + 4. Calculate the remainder when r(2) is divided by 18.
14
Let x(l) = -8*l + 56. Calculate the remainder when x(-22) is divided by 30.
22
Let n be ((-8)/(-3))/((-20)/(-30)). Suppose 104 = n*u + 4*u. What is the remainder when 90 is divided by u?
12
Let s