rd derivative of k**5/60 - 7*k**4/24 + 4*k**3/3 - 2*k**2. Let f be r(6). Suppose p = 4 - f. What is the remainder when 5 is divided by p?
1
Let h = -13 + 17. Suppose 0*f + 119 = h*a - f, -2*f + 52 = 2*a. Calculate the remainder when 86 is divided by a.
28
Let n = -1 - 3. Let a = n + 7. What is the remainder when 9 is divided by (-1)/a + 91/21?
1
Suppose -2*y = -4*y + 104. Let w = -53 - -21. Let p = w + y. What is the remainder when p is divided by 7?
6
Let i = 6 + -2. What is the remainder when 13 is divided by i?
1
Suppose 3*l + 36 = 3*k, -4*l - 21 = 4*k - 5. Let i = 11 + l. What is the remainder when 2*(6/2 - -1) is divided by i?
2
Suppose b = -4*k + 82, -3*k + 4*b + 61 = 5*b. Suppose -5*p + 2*o + k = 0, -3*p + 2*o = -9 - 6. Calculate the remainder when 4/(-6) - (-46)/6 is divided by p.
1
Let z = 51 + -42. Let q be 2 + 1*-3 + -2. What is the remainder when q/2*104/(-6) is divided by z?
8
Let u(k) = 3*k + 16. Calculate the remainder when 125 is divided by u(0).
13
Let c be ((-5)/(-25))/((-1)/(-5)). What is the remainder when 20 is divided by (-2 - -1)*-11*c?
9
Suppose 0 = 9*x - 217 + 28. What is the remainder when 104 is divided by x?
20
Let o = -42 + -49. Let w = 152 + o. Let h = w - 3. Calculate the remainder when h is divided by 20.
18
Let f(v) = v**2 + 2*v. What is the remainder when f(-3) is divided by 2?
1
Let s(k) = -k**3 - 9*k**2 + 10*k + 6. Let v be s(-10). Suppose 5*p = t + 17, p = -2*p + 2*t + v. What is the remainder when 10 is divided by p?
2
Calculate the remainder when 16/6*2/(-8)*-51 is divided by 9.
7
Suppose 5*m + 4*b = 85, -3*b + 4*b + 68 = 4*m. Calculate the remainder when 78 is divided by m.
10
Suppose 5*x + 0*u - 27 = -u, -5*u - 3 = 2*x. What is the remainder when 29 is divided by x?
5
What is the remainder when 4/(-6) + (-220)/(-6) is divided by 2/(-1)*57/(-6)?
17
Suppose -3*b - 5*y = -20, 65 = 3*b - 3*y + 5. Calculate the remainder when 59 is divided by b.
14
Suppose 0 = -6*s + 45 + 15. Calculate the remainder when s is divided by 6.
4
Let z(l) = -l**3 + 2*l + 3. Let s be (-10)/(-45) + 20/(-9). What is the remainder when 25 is divided by z(s)?
4
Let k(z) = -z**3 - 8*z**2 - 7*z + 4. Let t be k(-7). Suppose -3 = -t*f + 3*f. Suppose f*n - 7 = 8, -8 = -j + n. Calculate the remainder when 37 is divided by j.
11
Let m be (-3)/(-2) - (-3)/2. Suppose 5*y = 2*l + 35, 0*y + m*l = -y - 10. Suppose y*z + 2 = 7. What is the remainder when 1 is divided by z?
0
Let d(p) = 12*p. Let g be d(6). Suppose 4*r = 248 + g. Suppose -4*q + r - 32 = 0. Calculate the remainder when 23 is divided by q.
11
Let m = 125 + -74. Suppose m = a + 2*a. Let j(n) = 2*n**3 - 4*n**2 + 4*n - 2. Calculate the remainder when a is divided by j(2).
5
Suppose u + 3*u - f - 561 = 0, 0 = -5*u - 5*f + 720. Calculate the remainder when u is divided by 12.
9
Suppose -3*q = 6, h - 7 = q - 2. Calculate the remainder when 7 is divided by h.
1
What is the remainder when 86 is divided by 304/16 - (0 + -3)?
20
Let u = 8 + -5. Suppose 0 = -u*y + 193 - 64. Let g(m) = 2*m + 1. What is the remainder when y is divided by g(7)?
13
Let b(f) = f**2 + 22*f + 8. Calculate the remainder when 27 is divided by b(-22).
3
Let s = -36 + 63. Calculate the remainder when 51 is divided by s.
24
Let z(i) = i**2 + 5*i - 8. Let n be z(5). Let o = -26 + n. Suppose 0*p = -3*p + 138. What is the remainder when p is divided by o?
14
Suppose -3*d - g + 24 = 2*g, -5*d + g + 22 = 0. Suppose 40 = -d*j + 9*j. What is the remainder when 28 is divided by j?
8
What is the remainder when 2/(3*(-8)/(-804)) is divided by 34?
33
Suppose -5*l + 5*a = -20, 2*a + 14 = 3*l - 2*a. Suppose -26 = -l*o - 4*m, 5*o + 3*m = 2*o + 30. Calculate the remainder when 20 is divided by o.
6
Suppose 60 = 5*z + 5*y, -y + 43 = 3*z - 5*y. Let o(t) = t + 6. Let a be o(-6). Suppose a*h - 24 = -h. What is the remainder when h is divided by z?
11
Let r = 338 - 155. Calculate the remainder when r is divided by 47.
42
Let k(a) = -2*a - 7 + 0 + 0*a. What is the remainder when 1/5 - (-48)/10 is divided by k(-5)?
2
What is the remainder when (-37)/2*(-4 + 2)/1 is divided by 14?
9
Let g = 22 + -16. Let o(k) = k**3 + 17*k**2 + 15*k + 10. Let f be o(-16). Let d = f + g. What is the remainder when d is divided by 11?
10
Let g(i) be the second derivative of i**3/6 + i**2 - 3*i. Let u be g(-8). Calculate the remainder when 29 is divided by (-301)/(-21) - 4/u.
14
Suppose 0 = -3*p + 9 - 0. Calculate the remainder when 33 is divided by 3*p/9*18.
15
Suppose -6*l = 6*l - 72. What is the remainder when 15 is divided by l?
3
Let f(q) = q**3 + 4*q - 3. What is the remainder when f(4) is divided by 20?
17
What is the remainder when (-370)/(-8) - (-2)/(-8) is divided by (6/(-4))/((-9)/96)?
14
Suppose 156 = 4*k + 36. Suppose -k = -4*p + p. Calculate the remainder when p is divided by 4.
2
Suppose -2*r = -6*r + t + 139, -4*r + 121 = 5*t. Let x = 10 - -2. What is the remainder when r is divided by x?
10
Let b = 30 + 6. Suppose 5*o = -1 + b. Calculate the remainder when 27 is divided by o.
6
Let c be 12/9 - (-1)/(-3). Let s = 0 + c. Let m = 0 + 1. What is the remainder when s is divided by m?
0
Calculate the remainder when (-3042)/(-33) - 14/77 is divided by 31.
30
Let k be (-20)/2*(-4)/8. Suppose 3*h + 0*j = 5*j + 4, 0 = 3*j - 3. What is the remainder when k/(-2)*(-3 + 1) is divided by h?
2
Suppose 2*x - x = 0. Suppose x = p - 9 - 2. Calculate the remainder when 42 is divided by p.
9
Let y(a) = -a**3 + 13*a**2 - 8*a - 8. Let i = -6 + 18. What is the remainder when y(i) is divided by (6/4)/(1/14)?
19
Let u(x) = -x. Let p be u(-3). Suppose p*h + 5*c = 112, -3*c + 36 = h - 2*c. What is the remainder when h is divided by (1/(2/(-4)))/((-2)/12)?
10
Let g(a) = a**2. Let n be g(-2). Suppose -3*c + n*c = 14. Suppose -4*j + 20 = -88. What is the remainder when j is divided by c?
13
Let g(p) = -p**3 + 6*p**2 - 6*p + 14. Calculate the remainder when g(5) is divided by 0/(2*-1) - -5.
4
Let b(o) = o + 4. Let u be b(0). What is the remainder when 20 is divided by 198/30 - u/(-10)?
6
Let a(c) = c**2 - 4*c + 4. Let k be a(4). Let v = -9 - -7. Let z = v + k. Calculate the remainder when 2 is divided by z.
0
Suppose 0 = -d - 0*d - p + 6, d = -4*p - 6. Suppose -b + d + 3 = 0. Calculate the remainder when 24 is divided by b.
11
Suppose 5*n - 4*k + 0*k + 71 = 0, -5 = 5*k. Let u = n - -23. Suppose b = u + 5. What is the remainder when 25 is divided by b?
12
Let l(i) = -6*i**3 + 4*i**2 + 5*i + 5. Let s = -40 - -60. What is the remainder when l(-2) is divided by s?
19
Calculate the remainder when 2*(-4)/32*-212 is divided by 18.
17
Let x(l) be the second derivative of -l**4/12 - 7*l**3/3 - 7*l**2/2 + l. What is the remainder when x(-6) is divided by 11?
8
Suppose 5*c + 11 = 51. What is the remainder when 23 is divided by c?
7
Let c(v) = 5*v - 18. What is the remainder when c(17) is divided by 18?
13
Suppose 0 = -3*p + 39 + 42. What is the remainder when 105 is divided by p?
24
Let j(q) = q**3 + 4*q**2 + 3. Let v be j(-4). Suppose -7*g - 3 = -k - 3*g, -v*k = 5*g - 43. Calculate the remainder when (-4)/(-6) - 182/(-6) is divided by k.
9
Suppose -92 = -4*r + 2*d, 0*d - 133 = -5*r - 2*d. Calculate the remainder when 16568/171 - (-3)/27 is divided by r.
22
Suppose 270 = 5*g - 5*j, -2*g = -j - 3*j - 116. Calculate the remainder when 349 is divided by g.
49
Let l = -153 + 188. What is the remainder when l is divided by 18?
17
Let c = -5 - -9. Let o = -19 - -14. Calculate the remainder when 737/55 - (-2)/o is divided by c.
1
Let b = -23 - -24. What is the remainder when 2/1 - (1 + 0) is divided by b?
0
Suppose -162 = 11*o - 14*o. What is the remainder when o is divided by 19?
16
Calculate the remainder when 3*1/(-5) - 158/(-5) is divided by 8.
7
Let s = 20 + -12. Suppose -s*v + 3*v + 50 = d, 2*v - 182 = -4*d. Calculate the remainder when d is divided by 12.
9
Let f(t) = 4*t - 1. Let b = -74 - 28. What is the remainder when f(8) is divided by (-1)/3 - b/9?
9
Let w(h) = 6*h**2 + 14*h + 8. What is the remainder when w(-5) is divided by 23?
19
Suppose 4*r - z = 179, 112 = 2*r - 2*z + 6*z. Let c(b) = -1 - 3 + 16*b + 4. Calculate the remainder when r is divided by c(1).
14
Suppose 4*x - o - 84 = -0*o, 2*o - 84 = -4*x. Let i = x + -9. Calculate the remainder when i is divided by 7.
5
Let n(u) =