ivative of k**5/60 - k**4/4 - 4*k**3/3 - k**2. Calculate the remainder when y(12) is divided by 22.
20
Suppose 5*w = -5*g, 2*w = -2*w + 5*g + 9. Suppose q + 7 - 33 = 0. Calculate the remainder when q is divided by w*((-16)/(-2) + 1).
8
Suppose m - 3*m + 4 = 0. Suppose -m*x = j - 3*j - 12, -2*x + 6 = 4*j. What is the remainder when 9 is divided by x?
4
Let d = 9 + -15. Let r(u) = u**3 + 7*u**2 + 6*u + 6. Let i be r(d). What is the remainder when 2/((i/21)/1) is divided by 4?
3
Let q(s) be the second derivative of s**4/12 + 4*s**3/3 + 5*s**2 - s. What is the remainder when 19 is divided by q(-8)?
9
Let h be (-2 + -2)*3/(-6). Suppose -b + 8 = -2*c, -h*c - 10 = -2*b + 2. Suppose -b*d + 8 = -0, s - 13 = -3*d. Calculate the remainder when s is divided by 3.
1
Suppose 5*d + 10 - 50 = 0. What is the remainder when 12 is divided by d?
4
Suppose -2*p - 6 = -5*p. Suppose b - p*h = 0, -3*b - 5 = h - 2*h. Let m(u) = 5*u**2 + u - 2. What is the remainder when 31 is divided by m(b)?
15
Let w = -22 - -19. Calculate the remainder when 38 is divided by -6 - w - (-15 + 2).
8
Let q be -5 + 1*0/1. Let x(i) = 2*i**2 + 4*i + 1. What is the remainder when x(q) is divided by 17?
14
Suppose 594 = 4*z + 7*z. Calculate the remainder when z is divided by 19.
16
Let w(d) = -d**2 - 11*d + 13. Let a be w(-12). Suppose 0 = -4*f + 3*o, -6*f + 2*o + a = -3*f. What is the remainder when f is divided by 2?
1
Let y be (2/3)/(4/138). Let t = y - 11. Let l = 20 - t. What is the remainder when 15 is divided by l?
7
Let k(u) = u - 1. Calculate the remainder when k(5) is divided by 4 - (0 - (-3 - -2)).
1
Let o be 58/10 - 7/(-35). Suppose -212 = -o*m + 10. What is the remainder when m is divided by 19?
18
Suppose -v + 10 = -0*v. Suppose 2*i - 4*r - v = -2*r, -2*i + 3*r + 5 = 0. What is the remainder when 28 is divided by i?
8
Let w(j) = j**2 + 13*j - 6. Let m(x) = 3*x + 9. Let b be m(-8). Calculate the remainder when 93 is divided by w(b).
21
Let d = -21 - -62. What is the remainder when d is divided by 14?
13
Suppose 0 = -4*a - 12 + 52. Calculate the remainder when 17 is divided by a.
7
Let h(d) = 9*d + 3. Calculate the remainder when h(4) is divided by 10.
9
Let n be (-6)/(-15) - (-18)/5. Suppose -p = 3*p - n. Calculate the remainder when 4 is divided by 2*(p + 1/2).
1
Suppose -s + 2 = -0. Suppose 4*z - 23 - 19 = 5*m, 0 = m + s. What is the remainder when 31 is divided by z?
7
Let z = -85 - -118. Calculate the remainder when z is divided by 14.
5
Let p(g) = -g**3 - 9*g**2 - 5. Let q be p(-9). Let b be 1 - q - 1 - 1. What is the remainder when -4*(2 + (-34)/b) is divided by 9?
8
Let x(p) = -p**3 - p**2 - 2*p - 2*p**2 - 4*p - 3*p**2 + 6. Suppose -5*r + 24 = -s, -4*r + 2*s + 12 = -3*r. What is the remainder when x(-5) is divided by r?
3
Let b = 77 + -42. What is the remainder when 138 is divided by b?
33
Suppose 6*l = l + 75. Calculate the remainder when 25 is divided by l.
10
Let u = 51 - 26. Let p = 8 + -3. Suppose 0*w - u = -p*w. What is the remainder when w is divided by 2?
1
Let v(r) = r**2 + 9*r - 5. Let m be v(-9). Let x = m - -3. What is the remainder when 26 is divided by 29/2 - (-1)/x?
12
Let u(z) = -z**2 + 13*z - 3. Let b be u(7). Suppose j + 2*j - b = 0. Suppose 2*r - 152 = -2*r. What is the remainder when r is divided by j?
12
Let p be (-4)/(2 + -6 + 3). Suppose -55 = -5*r + 5*l + 35, -5*l = p*r - 45. Calculate the remainder when 43 is divided by r.
13
Let h be 124/(-10) + 8/20. What is the remainder when 49 is divided by -51*-2*(-2)/h?
15
Let x = -9 + 15. Let w = 145 + -134. What is the remainder when w is divided by x?
5
Let k(z) = z**3 + 3*z**2 - 4*z - 2. Let a be k(-3). Suppose 4*v - 2 = 2*o - a, -3*o - 3*v = -21. What is the remainder when 10 is divided by o?
4
Let y = 36 - 17. Let c = 56 + -1. Calculate the remainder when c is divided by y.
17
Let x(a) = a**2 - 4. Suppose -4*d = -2*z + 58, 3*z + 0*z = -2*d + 111. What is the remainder when z is divided by x(4)?
11
Suppose -8*i = -163 - 125. What is the remainder when i is divided by 10?
6
Let u(i) = -i**3 + 5*i**2 + 7*i - 7. Calculate the remainder when u(5) is divided by 10.
8
Suppose 0 = -o - 4*n - 9 - 0, -5*o + 18 = -n. What is the remainder when (-2*2)/((-1)/2) is divided by o?
2
Let i(c) = 3 - 1 + 3 + 2*c. Calculate the remainder when i(4) is divided by 5.
3
Suppose 0 = -4*j + 6*j + 54. Let m = -13 - j. Let t = 52 - 12. Calculate the remainder when t is divided by m.
12
Suppose -3*a = -6*a + 12. Suppose 0*l + l = 3*n + 28, 3*n = 4*l - 67. What is the remainder when l is divided by a?
1
Let r(b) = -2*b - 7. Let t(j) = -j**3 + 2*j**2 - 3*j. Let x be t(2). Let g(d) = 14*d. What is the remainder when g(1) is divided by r(x)?
4
Let j(k) = k**3 - 5*k**2 + k - 5. Let y be j(5). Suppose 2*f = -2*f - 52. Let x = y - f. What is the remainder when x is divided by 5?
3
Let n(o) = o**3 - 8*o**2 + 2*o + 2. Let h be n(8). Suppose 26 = m - h. Suppose -g - 2*b + 11 = -0*b, 5*g = b + m. What is the remainder when g is divided by 5?
4
Let p = -104 - -117. What is the remainder when 64 is divided by p?
12
Suppose -4*y + 36 = 2*v, -v - 4*y + 9 = -17. Calculate the remainder when 58 is divided by v.
8
Suppose -30*s + 84 = -23*s. What is the remainder when 35 is divided by s?
11
Let z(j) = -j**3 + 9*j**2 + 3*j - 12. Calculate the remainder when z(9) is divided by 9.
6
Suppose -4*f + 0*f + 16 = 0. Suppose q = f*q. Suppose 5*g - 46 - 34 = -5*z, -2*g + 4*z + 8 = q. Calculate the remainder when g is divided by 5.
2
Let x = -41 - -44. Let q = 2 - -8. Let o = -3 + q. What is the remainder when o is divided by x?
1
Let a(i) = i**3 - 12*i**2 + 3*i - 15. What is the remainder when a(12) is divided by 11?
10
Let p = -12 - -22. Calculate the remainder when 26 is divided by p.
6
Calculate the remainder when 7/28 - 119/(-4) is divided by 12.
6
Let h be ((-18)/(-10))/(2/10). Let s be (-2)/h + (-110)/(-9). What is the remainder when 2 is divided by (3/s)/((-3)/(-12))?
0
Let r = 23 - -27. Let o(d) = d**3 + 12*d**2 + 11*d + 11. What is the remainder when (4/5)/(2/r) is divided by o(-11)?
9
Suppose -o + 61 - 13 = 0. Suppose -o = -h - 3*h. What is the remainder when 47 is divided by h?
11
Let z be ((1 - 12) + -1)*1. Let a = 0 - z. Calculate the remainder when 23 is divided by a.
11
Let q(y) = 3*y - 6. Let a = 10 + -3. Let n = -2 - -10. Calculate the remainder when q(a) is divided by n.
7
Suppose -3*j + 192 = 63. What is the remainder when j is divided by 15?
13
Calculate the remainder when 80 is divided by 2921/138 - (2 + 0)/12.
17
Let a = -20 + 33. Calculate the remainder when 37 is divided by a.
11
Let j(s) = -12*s - 12. Calculate the remainder when j(-6) is divided by 21.
18
Suppose -3*x - 28 = 4*o - 4, 0 = 2*x - 4*o - 4. Calculate the remainder when 86 is divided by (-29)/(0 + x + 3).
28
Let d = 301 - 127. Let q = -96 + d. What is the remainder when (q/(-10))/(4/(-20)) is divided by 20?
19
Suppose -3*h - 32 = -5*d, d + 2*h = -2*h - 12. Suppose 0*b = d*b + 16. What is the remainder when 16 is divided by b/(15/(-9) - -1)?
4
Let p = -2 + 16. Calculate the remainder when 41 is divided by p.
13
Let z = 4 + -3. Let w(i) = 17*i. Suppose -5*a + 25 = 0, 2*d - 4*a - 2 + 10 = 0. Calculate the remainder when w(z) is divided by d.
5
Let p = 9 - 3. Suppose 4*v + 4*l = 92, 5*v - 69 = 2*v + l. What is the remainder when v is divided by p?
5
Let l(n) = n**2 + 7*n - 7. Let p be l(-8). Suppose -z + 2*b = p - 3, 4*z + 4*b = 68. What is the remainder when 22 is divided by z?
10
Let w = 3 - -3. Calculate the remainder when 21 is divided by w.
3
Suppose 3 - 28 = 5*j. Let d be ((-24)/j)/(21/70). Let k = -7 + d. What is the remainder when k is divided by 5?
4
Let w(d) = d**3 - 4*d**2 + 3*d + 4. Let m be 1/(22/(-10) + 2). Let f(z) = -2*z - 1. Calculate the remainder when w(4) is divided by f(m).
7
Suppose -3*y + 8 = y. Calculate the remainder when 4 is divided by y.
0
Suppose -4*t - 4*v + 177 + 91 = 0, -2*t - v + 135 = 0. What is the remainder when t is divided by 23?
22
Suppose -2 + 27 = 5*j. Calculate the remainder when 17 is divided by j.
2
Let g(v) = 4*v**2 - v + 3. Suppose 6*j - 49 = 3*j - 4*y, -4*y = -5*j + 39. What is the remainder when g(-3) is divided by j?
9
Let x = 112 + -90. Calculate the remainder when 83 is divided by x.
17
Suppose 0 = -2*y - 4*g + 4, 3*g = 