t(n) = 16*n**3 - 5*n**2 + 3*n + 1. Calculate the remainder when t(1) is divided by 2.
1
Let c(q) = q**3 - 3*q**2 - 5*q + 5. Suppose 2*r - y - 3*y = -10, 0 = 4*r + 3*y - 35. Let u = 167 - 159. What is the remainder when c(r) is divided by u?
6
Let y = 15 + -16. What is the remainder when 42 is divided by (-10)/(-15)*(34 + y)?
20
Let m(h) = -h**2 - 4*h + 10. Let s be m(-5). Suppose -5*y - 25 = -s*i, -2*i - 4*y = y - 45. What is the remainder when i is divided by 4?
2
Suppose 3*v + 1 = 7. What is the remainder when v is divided by 2?
0
Let r(v) = 38*v + 1. Let n be r(1). Suppose 21 = 3*t - n. Suppose -3*l + 2*l + 7 = 0. What is the remainder when t is divided by l?
6
Let m(t) = t**2 + 3*t - 16. Let n be (-6)/(-4) + (-1)/(-2). What is the remainder when n*16 + 4/2 is divided by m(-7)?
10
Suppose 15*f = 14*f + 34. What is the remainder when f is divided by 12?
10
Let c(u) = u - 1. Let o(y) = -4*y - 3. Let d(p) = -c(p) - o(p). Calculate the remainder when (423/3)/(-3)*-1 is divided by d(4).
15
Suppose 3*h - 49 = -4*h. What is the remainder when h is divided by 2?
1
Let w = 0 - -97. What is the remainder when w is divided by 25?
22
Suppose -2*z + 64 = -0*z. What is the remainder when z is divided by 11?
10
Suppose o - 4*o + 102 = 0. What is the remainder when o is divided by 9?
7
Suppose 10 = 2*q - 2*r, -3*q + 21 = 3*r - 24. What is the remainder when q is divided by 3?
1
Let p(y) = 3*y**2 - 5*y - 1. Let x be p(4). Let b = x + -14. Suppose 0*d + 2*d + 5*f = 118, f = 4. Calculate the remainder when d is divided by b.
10
Suppose -5*d - 3*y + 160 = -6*y, -3*d + 82 = y. Calculate the remainder when 84 is divided by d.
26
Suppose -5*i + 204 = -146. Calculate the remainder when i is divided by 37.
33
Suppose 11 + 9 = 2*r. Suppose -r + 1 = -m. What is the remainder when 35 is divided by m?
8
Suppose -32*c = -30*c - 114. What is the remainder when c is divided by 15?
12
Let n(g) = g**3 - 6*g**2 + 3*g + 6. Let i be n(5). Calculate the remainder when (125/(-10))/((-2)/4) is divided by (6/i)/(-3)*26.
12
Let v = 61 - 25. What is the remainder when v is divided by 8?
4
Let d(t) = -6*t**2 + 8. Let y(s) = -3*s**2 + 4. Let u(m) = -3*d(m) + 5*y(m). What is the remainder when 43 is divided by u(3)?
20
Let w = 3 + 39. Calculate the remainder when w is divided by 11.
9
Let j be 3/(-6) + 9/2. Let c be j/(-2) + 5 + -3. Suppose c = m + m - 14. Calculate the remainder when 20 is divided by m.
6
Let g(h) = -h + 20. Let y(d) = d - 20. Let k(a) = -5*g(a) - 6*y(a). Let z = 15 + -8. Calculate the remainder when k(0) is divided by z.
6
Suppose 47 = 5*n - 43. What is the remainder when 70 is divided by n?
16
Suppose -7*r = 2*r + 54. Let b(o) be the second derivative of o**4/12 + 2*o**3/3 - o**2 - o. Calculate the remainder when 27 is divided by b(r).
7
Suppose -18 = -8*c + 6*c. Calculate the remainder when 33 is divided by c.
6
Let h = -22 + 38. What is the remainder when 47 is divided by h?
15
Suppose 5*b - 2 - 4 = -4*p, 2*b + 4 = 0. Suppose 2*v - p*x + 35 = -9*x, 4*v + 3*x = -35. Calculate the remainder when 38 is divided by 10/25 + (-63)/v.
12
Suppose -i + 2*i = 0. Let k = 10 - i. What is the remainder when k is divided by 6?
4
Let h(z) = z**2 + z + 1. Let a(t) = -4*t**2 - 10*t - 11. Let d(w) = a(w) + 5*h(w). What is the remainder when 14 is divided by d(7)?
6
Let g be 2 + 1 - (-120)/(-5). Suppose 9 = 4*f - 3. What is the remainder when (g/14)/(3/(-10)) is divided by f?
2
Suppose q - 49 + 19 = 0. What is the remainder when q is divided by 8?
6
Let o(d) = -3*d**3 + 4*d - 3*d + 2*d**3 - d**2 - 4. Let f = -4 + 10. Calculate the remainder when o(-3) is divided by f.
5
Let g be ((-18)/15)/(3/(-75)). Suppose -4*c + g = -c. What is the remainder when 38 is divided by c?
8
Calculate the remainder when 77 is divided by 1/6*8*(15 + 0).
17
Let r(k) = k**2 - 6*k + 2. Let p be r(6). Let o be ((-1)/(-2))/(p/8). Suppose -v = o*v - 9. Calculate the remainder when v is divided by 2.
1
Suppose -6 = b - 25. What is the remainder when b/(-3 + (2 - -2)) is divided by 10?
9
Let t(i) = i**3 + 3*i**2 + 2. Let n be t(-3). Suppose -n*j + 176 = 2*j. What is the remainder when j is divided by 16?
12
Suppose 4*c + 2*d - 28 = 0, -22 = -4*c - 2*d + 3*d. Suppose 4*v + 21 + 107 = 0. Let k = -10 - v. What is the remainder when k is divided by c?
4
Let k(f) = f + 17. Let d(y) = 2*y**3 + y**2 - 3*y + 5. Let v(m) = m**2 - 1. Let s(t) = -d(t) - 3*v(t). What is the remainder when s(-4) is divided by k(0)?
16
Suppose 0 = 2*j + l - 4, 3*j + l = -1 + 5. Suppose 4*d + 3*n - n - 122 = 0, j = -d - 4*n + 27. Calculate the remainder when d is divided by 8.
7
Let i = -15 - -22. Let h(c) = -c**3 - 3*c**2 + 4*c + 3. Let o be h(-2). Let b = o - -21. Calculate the remainder when b is divided by i.
5
Let c = 30 - 17. Suppose 6 = -4*v + 106. What is the remainder when v is divided by c?
12
Suppose 0*u - 2*u + 50 = 5*x, 33 = x + 5*u. Suppose -2*g = -8, 5*n + 92 = 3*g + 5. Calculate the remainder when x is divided by (-81)/n - (-4)/(-10).
3
Suppose -2*x - 16 + 0 = 0. Let p(r) be the third derivative of -r**4/12 - 5*r**3/3 + 2*r**2. Calculate the remainder when 11 is divided by p(x).
5
Let g = -15 - -35. Let l = g + 39. Calculate the remainder when l is divided by 31.
28
Suppose -4*a + q = -57, -22 - 49 = -5*a + q. Suppose x + x = -t + 7, -4*t + a = x. Let z(w) = w**2 - 3*w + 4. What is the remainder when z(3) is divided by t?
1
Suppose -3 = 4*x - x. Let b be x/((-10)/(-12))*-15. Let d = -2 + b. What is the remainder when 31 is divided by d?
15
Let l = 91 + -88. Calculate the remainder when 37 is divided by l.
1
Let j(f) = 5*f - 5. Let x(i) be the second derivative of -i**5/20 - i**4/2 + i**3/3 + 4*i**2 + 2*i. Calculate the remainder when x(-7) is divided by j(4).
13
Let v be (5/10)/((-2)/(-16)). Let q = v - -4. Calculate the remainder when 14 is divided by q.
6
Let k(a) = 4*a**2 - a. Let y be (4 + 0)/(10/(-5)). What is the remainder when 52 is divided by k(y)?
16
Suppose 0 = -5*w + 7*w. Suppose w = -0*r - r + 4. What is the remainder when 7 is divided by r?
3
Let x be (-375)/(-12) - 4/16. Suppose y = -y + 50. Suppose x = 4*t - y. What is the remainder when t is divided by 8?
6
Let j(n) be the second derivative of n**5/2 - n**2/2 - n. Let a(g) = -g**3 + 6*g**2 + 4*g + 2. What is the remainder when a(6) is divided by j(1)?
8
Suppose -2*j = -4*d + 50, 0 = 3*d + 3*j + j - 43. Suppose -84 = -r - 2*r. Let g = -4 + r. Calculate the remainder when g is divided by d.
11
Let r(b) = 3*b**2 + b + 9. Let i be r(-4). Let j = i + -20. Calculate the remainder when 65 is divided by j.
32
Calculate the remainder when 63 is divided by (-24)/5*10/(-3).
15
Let v = -91 - -128. What is the remainder when v is divided by 8?
5
Suppose -5*z + 128 = -z. Suppose 5*j - 59 = 3*p + 27, -2*j + z = -2*p. Suppose 3*c = 11 + j. What is the remainder when 19 is divided by c?
9
Suppose 0 = -4*m, 46 = z - 0*m - 5*m. What is the remainder when z is divided by 12?
10
Suppose g = -3*g + 248. What is the remainder when g is divided by 16?
14
Suppose -3*l + 219 = 4*z - 2*l, -3 = -l. What is the remainder when z is divided by 11?
10
Let g = -126 - -182. What is the remainder when 109 is divided by g?
53
Suppose 2*a = -0*a - 3*b + 3, -a + 4*b = 4. Suppose -3*i + 16 = h, i + a*i = 2*h - 4. Suppose 0 = -0*t + 6*t - 66. What is the remainder when t is divided by h?
3
Let s = -35 + 47. Let i(f) = f - 6. Let l be i(0). Let u(j) = 2*j**2 + 6*j - 1. What is the remainder when u(l) is divided by s?
11
Suppose -5*r - 3*y + 410 = 0, r - 64 - 46 = 5*y. What is the remainder when r is divided by 11?
8
Suppose 3*p = -p - 5*t + 73, p = 3*t - 3. What is the remainder when 57 is divided by p?
9
Let x(b) = b**3 + 4*b**2 - 3*b + 4. Let n be x(-5). Let h be n*1/(-2) - 1. Let a(q) = 17*q - 3. Calculate the remainder when a(h) is divided by 11.
9
Let h be (-32)/(-6) - (-4)/(-12). Suppose 0 = h*b - 4*b - 7. Suppose z + 3*d - 10 = 0, 0 = -2*z - 5*d - 3 + 21. What is the remainder when b is divided by z?
3
Suppose -2*q = y - 4*q + 3, -12 = -3*q. Suppose 0 = 2*w - y*u - 14, 2*w - u = -4*u - 2. Calculate the remainder when 3 is divided by w.
1
Calculate the remainder when 1/((12/(-124))/(-3)) is divided by 8.
7
Let k(b) = b**3 - 11*b**2 - 12*b + 18. Let h = 105 - 71. Calculate the remainder when h