s divided by a?
2
Let r(s) = -14*s**3 - 2*s**2 - s. Let z(b) = b**3 + 10*b**2 - 1. Let n be z(-10). Calculate the remainder when 75 is divided by r(n).
10
Suppose -5*c + 242 + 48 = -5*f, -c + 60 = f. What is the remainder when c is divided by 15?
14
Let p(w) = -w + 4. Let k(u) = -u**2 + 7*u + 4. Let a be k(8). Suppose -48 = -4*i - 4*l, -5*i + 7*l - 2*l = -90. What is the remainder when i is divided by p(a)?
7
Suppose 4*j = 27 + 5. Let b = j - -8. What is the remainder when 30 is divided by b?
14
Let f(i) = -i**2 + 16*i - 3. What is the remainder when 155 is divided by f(11)?
51
Let l = 620 + -411. Let m = 303 - l. Calculate the remainder when m is divided by 24.
22
Let y = -15 - -34. Suppose -20*v + 26*v = 330. What is the remainder when v is divided by y?
17
Let g = 194 - 135. What is the remainder when g is divided by 15?
14
Let h(z) = 2*z**2 + 5*z - 1. Let m(a) = -2*a + 2. Let g be m(3). What is the remainder when 2/2 - (-30)/1 is divided by h(g)?
9
Suppose -5*j = 2*h - 6*j + 5, 4*j = -2*h - 10. Let v = h - 0. Let m = 4 + v. What is the remainder when 2 is divided by m?
0
Let r(y) = y**3 - 4*y**2 + 4*y - 4. What is the remainder when 33 is divided by r(4)?
9
Let k = -5 + 1. Let u(t) = t**3 - 7*t**2 + 2*t + 5. Let m be u(6). Let q = k - m. Calculate the remainder when q is divided by 9.
6
Let q(u) = -3*u + 8. Let l be 8/(-12) + (-16)/3. What is the remainder when q(l) is divided by 7?
5
Suppose 5*z - 5 = 10. Suppose -2*t + 52 = -3*j, 0 = -z*t + j - 12 + 104. What is the remainder when t is divided by 11?
10
Calculate the remainder when (-11)/(4*1 - 135/33) is divided by 41.
39
Let o(q) = 2*q - 6. Let w be o(3). Suppose w = -4*a + 142 - 10. What is the remainder when 97 is divided by a?
31
What is the remainder when (-3)/4 + 2244/48 is divided by 16?
14
Let p = -4 - -5. What is the remainder when (p/2)/((-4)/(-200)) is divided by 13?
12
Let a = 93 - 82. What is the remainder when a is divided by 6?
5
Let u = -23 - -13. Let r be 76/20 + (-2)/u. Suppose 5*q = r*x + 25, -x = 2*q - 3*x - 10. Calculate the remainder when 18 is divided by q.
3
Suppose -5*n + 3*n = -2. Let b = 5 + n. What is the remainder when 15 is divided by b?
3
Let t(m) = m**3 + 6*m**2 + 5*m + 1. Let o be t(-5). Suppose o = -4*w + 9. Suppose -u + 2 = -0. Calculate the remainder when w is divided by u.
0
Let d(p) = p**3 + 7*p**2 + 7*p - 1. Calculate the remainder when 81 is divided by d(-5).
11
Calculate the remainder when 1*0/(-1) - -28 is divided by 16.
12
Let w be 4/(-10) - 42/(-5). Let v(g) = g - 4. What is the remainder when 15 is divided by v(w)?
3
Suppose 4*x + 88 = 5*q, 6*x = 3*q + 2*x - 48. Calculate the remainder when 57 is divided by q.
17
Let x(p) = 3*p**3 - 3*p. What is the remainder when x(2) is divided by 9?
0
Let t(d) = d**2 + 27*d + 55. Let k = 33 + -23. What is the remainder when t(-26) is divided by k?
9
What is the remainder when 33 is divided by ((-765)/(-60))/(2 - 5/4)?
16
Suppose -88 = -5*s + c, 0*s = -5*s - 5*c + 70. Let r be (-7510)/(-30) + (-1)/3. Suppose 0*v + r = 5*v. What is the remainder when v is divided by s?
16
Let s(x) = x**3 + x**2 - 2*x + 19. Calculate the remainder when s(0) is divided by 5.
4
Suppose 8 = 3*q - 3*z - 7, 4*z + 14 = 2*q. Suppose -3*h + 6 = -6, -h = q*w - 43. Calculate the remainder when (-226)/(-6) + (-3)/(-9) is divided by w.
12
Let k(b) = -b**3 - 7*b**2 + 6*b + 6. Suppose 1 - 19 = 3*a + 2*c, 4*a - 3*c + 41 = 0. What is the remainder when k(a) is divided by 6?
4
Let y(u) = u + 44. Calculate the remainder when y(0) is divided by 12.
8
Suppose 0 = 5*z + 10, 5*c - 5*z + 2*z = 61. Let q(s) = s**3 + 2*s**2 - 4*s. What is the remainder when c is divided by q(-3)?
2
Let k(w) = w**3 - 3*w**2 - w - 2. Calculate the remainder when 67 is divided by k(4).
7
Let h = -151 + 185. Calculate the remainder when h is divided by 10.
4
Suppose y + 2*y + 12 = 3*a, 5*y = -20. Let f be (-1 - a - -1) + 0. Suppose 2*o + n - 4*n - 7 = f, 4*n = o - 6. Calculate the remainder when 3 is divided by o.
1
Let j be ((-144)/(-10))/((-2)/(-10)). Suppose 5*x - j = x. Let g = x - 3. Calculate the remainder when 43 is divided by g.
13
Suppose 0*l = -4*l + 32. Suppose 2*a + l = 4*a. Let y(i) = -11*i**3 - i**2 - 2*i - 1. Calculate the remainder when y(-1) is divided by a.
3
Suppose 3*o - o - 8 = 0. Suppose -x = 3 - 5. What is the remainder when o is divided by x?
0
Suppose 4*w - 24 = 24. Let q(n) = -20*n**3 + 2*n**2 + 2*n + 1. What is the remainder when q(-1) is divided by w?
9
Let j be 4/(-8)*1*-10. What is the remainder when 16 is divided by -5*(-1)/j*9?
7
Calculate the remainder when 6/(-8) - 348/(-16) is divided by 8.
5
Let o be (-6)/(-27) - (-48)/27. Suppose -o*i + 14 + 36 = 0. Calculate the remainder when 74 is divided by i.
24
Suppose 4*x + 2*y = -110, -5*x - y - y = 135. Let a = x + 45. Calculate the remainder when 16 is divided by (-18)/10*a/(-6).
4
Let h = 76 + -6. Calculate the remainder when h is divided by 9.
7
Suppose -3*y + 50 + 55 = 0. Let c(v) = v**2 + 4*v. What is the remainder when y is divided by c(-6)?
11
Suppose -708 = -h + 3*h. Calculate the remainder when h/(-14) - 8/28 is divided by 9.
7
Let q(b) be the third derivative of b**5/60 + 7*b**4/24 + 2*b**3/3 - b**2. What is the remainder when 86/4 + 2/4 is divided by q(-8)?
10
Let n(v) = -3*v - 11. Let h be n(-5). Suppose z + 11 = h*f, -f + 4*f - 17 = -z. Calculate the remainder when 14 is divided by z.
4
Calculate the remainder when ((-45)/(-6))/3*24 is divided by 16.
12
Suppose -5*v + 12 = -0*f - 4*f, -4*v = -f - 14. Suppose -4*w - 67 = -n - v*n, 2*w + 6 = 0. What is the remainder when 42 is divided by n?
9
Let s = -51 + 54. Calculate the remainder when 15 is divided by s.
0
Let x(i) = -43*i - 1. Let s be x(-1). Suppose 0 = 4*k - 42 - s. Calculate the remainder when 40 is divided by k.
19
Let m(h) = h - 1. Let n be m(-3). Let a(l) = 30*l + 1. Calculate the remainder when a(1) is divided by 276/18 - n/6.
15
Let a(i) = -2*i**3 - 9*i**2 + 4*i - 2. Suppose -4*z + 2*z - 4 = 0. What is the remainder when 104/18 - z/9 is divided by a(-5)?
0
Suppose -117 = -5*f + 118. Calculate the remainder when f is divided by 12.
11
Let h(k) = k**2 + 3*k - 5. Let d be h(-4). What is the remainder when (-23 - (-1 - -5))*d is divided by 6?
3
Let w(s) = s**3 - 13*s**2 - 10*s + 15. Calculate the remainder when w(14) is divided by 18.
17
Let z = -10 - -24. Calculate the remainder when 41 is divided by z.
13
Calculate the remainder when 33/((5/20)/1) is divided by 27.
24
Suppose -67*w = -77*w + 200. What is the remainder when 78 is divided by w?
18
Suppose 2*a - 6*a + 212 = 0. Suppose 0 = 2*x + x - 42. What is the remainder when a is divided by x?
11
Let g(o) = 0 + 5*o + 7 - 3 + o**2. Calculate the remainder when 18 is divided by g(-6).
8
What is the remainder when 60 is divided by (-2 - 12)/(2/(-3))?
18
Let r(x) be the first derivative of 3*x**2/2 - 5*x - 1. What is the remainder when (3 + -1)/(-2) + 19 is divided by r(5)?
8
Let l(z) = 4*z**2 + 3*z. What is the remainder when l(-3) is divided by ((-4)/6)/(2/(-42))?
13
Let k(w) = -3*w**3 - w**2 - 2*w - 2. Suppose -n - 20 = -6*n. Let o = n + 8. Calculate the remainder when k(-2) is divided by o.
10
What is the remainder when (14*15)/3*2 is divided by 16?
12
Let p = 9 - 4. Suppose 0 = 2*x - p*z - 59, -4*z - 7 + 4 = x. Calculate the remainder when x is divided by 9.
8
Let y = -12 - -35. What is the remainder when 135 is divided by y?
20
Let o(q) = q**2 + 7*q - 3. Let x be o(-8). Suppose -5*s + 25 = -x*t, 2*s - 5*s + t = -11. What is the remainder when 5 is divided by s?
2
Let u = -113 + 248. Calculate the remainder when u is divided by 34.
33
Suppose -2*b = -7*b - 5. Let f = b + 0. Calculate the remainder when 16 is divided by f/2*(1 + -13).
4
Let o be 37 + 6 + 2*-1. Let j(a) = -a**2 - 8*a + 5. Let m be j(-8). Suppose m*x - 39 - o = 0. What is the remainder when 31 is divided by x?
15
Suppose -3*a + 19 = 3*r + 4, -a + r + 1 = 0. Suppose 0 = -2*v - 9 - a. Let g = 7 - v. Calculate the remainder when 25 is divided by g.
12
Calculate the remainder when 1956/32 + 2/(-16) is divided by 21.
19
Let h(v) = v + 14. Let x be h(-10). Suppose 0 = -5*p - 3*c + 66, -p - c + 24 = -x*c. Calculate the remainder when 43 is divided by p.
13
Let v(m) = -m**2 - 16*m - 13. What is the remainder