What is the remainder when 35 is divided by p(3)?
5
Let j(p) = -3*p + 2. Let a(o) = 7*o - 5. Let n(z) = -6*a(z) - 15*j(z). Calculate the remainder when n(4) is divided by 7.
5
Suppose 3*u + 10 + 26 = 0. Let d = u + 19. Suppose 6*s - 80 = 2*s. Calculate the remainder when s is divided by d.
6
Suppose -4*s + 40 = 4*z, 3*z - 51 = 6*s - 2*s. Let f(n) = -n**2 + 26*n - 45. What is the remainder when f(23) is divided by z?
11
Suppose -z + 6 = -6. What is the remainder when 21 is divided by z?
9
Suppose 5*l = 258 + 92. Calculate the remainder when l is divided by 12.
10
Suppose -3*k - 5*v = -65 - 6, 4*k + 2*v - 76 = 0. Calculate the remainder when k is divided by 10.
7
Suppose 4*m + 6 = v - m, -3*v + 4 = -m. Let o be (42/5)/(v/10). Suppose 3*w = -w + o. Calculate the remainder when 40 is divided by w.
19
Let x be 2/(-1*3 + 2). Let i = 2 + 9. What is the remainder when (2 + -3)/(x/42) is divided by i?
10
Calculate the remainder when -2 - (-16 - 1/1) is divided by 3.
0
Let l = 33 - 7. Suppose -6*c + 16 = -2*c. Suppose 3*w + 4*v - 58 = -0*w, 0 = c*v - 16. What is the remainder when l is divided by w?
12
Let l(w) = w**3 - 6*w**2 + 6*w + 7. Let m be l(7). Suppose -4*c + m = -2. Calculate the remainder when c is divided by 13.
12
Let l(y) = -y + 18. What is the remainder when 105 is divided by l(-4)?
17
Suppose 2*j + 4*g = 48, 0 = -2*j + 4*j + 2*g - 54. Calculate the remainder when 59 is divided by j.
29
Let a = 3 - -31. What is the remainder when a is divided by 20?
14
Let w(o) = 4*o**3 - o**2 + 2*o - 1. Calculate the remainder when -22*(-3)/6*1 is divided by w(1).
3
Suppose -3*v + 18 = -3*a - a, 2*v = -5*a - 11. Suppose -2*m + i + 27 = 0, -m + 12 + 6 = -v*i. Calculate the remainder when 34 is divided by m.
10
Let u = -6 - -14. Suppose -4*z - 10 = -2*o, -5*z + 4*o + 0*o - 17 = 0. Let k = 6 + z. What is the remainder when u is divided by k?
3
Suppose -20 = -9*s + 4*s. Let y(a) = -26*a**2 + 24*a**2 - 2*a**3 + 3*a**3 + 3 - 5*a. What is the remainder when y(4) is divided by s?
3
Let r(c) = -5*c. Suppose -x = 4*v + 19, -3*x - 35 + 13 = 5*v. Let u = v + 34. What is the remainder when u is divided by r(-2)?
9
Let r = 4 + -2. Let z(t) = -5 + 9*t**r + 3*t**3 + t - 6*t**3 + t**3 + t**3. What is the remainder when 11 is divided by z(9)?
3
Let m = 5 - -8. What is the remainder when m is divided by (-2)/(-8) + 19/4?
3
Suppose -2*i - 1 = -9. Suppose 0 = -3*f + 2 + 4. Suppose -7*h - i*d + 32 = -3*h, f*d = -5*h + 25. What is the remainder when 7 is divided by h?
1
Suppose -15*r + 19*r = 28. What is the remainder when 19 is divided by r?
5
Let r = -3 - 1. Let p = 6 + r. Suppose -18 = -p*h + 8. What is the remainder when h is divided by 7?
6
Let u = -394 + 564. Suppose -4*s - 2*k = -9*s + 282, 3*s - k = u. What is the remainder when s is divided by 20?
18
Suppose -28 = -4*j - 4*m, 2*m + 75 = 5*j - m. Let b(g) = -6*g - 3. Calculate the remainder when b(-8) is divided by j.
9
Let n(t) = t**3 + 2*t**2 + 5. Suppose 5*m + 0*m = 65. Calculate the remainder when n(3) is divided by m.
11
Let j = 8 - -4. Suppose 2*l + 0 = -3*k + 3, 3*l + 21 = 4*k. Suppose 3 = k*a - j. What is the remainder when 13 is divided by a?
3
Let b = 6 - 14. Let z = 13 + b. What is the remainder when 8 is divided by z?
3
Suppose 14 = j + 2*o + 1, -3*j + 15 = -2*o. Calculate the remainder when 27 is divided by j.
6
Suppose 8 = 2*h - 2. Suppose -14 = j - 75. Suppose 11 = -h*a + j. Calculate the remainder when 19 is divided by a.
9
Suppose 0*a + 2*a + z = 31, -5*a = -4*z - 45. What is the remainder when 22 is divided by a?
9
Calculate the remainder when 64 is divided by 0/1 - (-17 - 0).
13
Suppose -55 = -3*t - 2*w, 4*w - 104 = -4*t - 32. What is the remainder when t is divided by 5?
4
Suppose -n = n - 70. Let x be (1 - 1)/(6/3). Suppose 0*u - i = -2*u + 24, x = 2*u - 4*i - 24. What is the remainder when n is divided by u?
11
Let f = 25 + -36. Let q = f + 15. Let z = q - -12. What is the remainder when z is divided by 6?
4
Suppose -n - 2*n = -30. What is the remainder when 28 is divided by n?
8
Suppose 5*u + 3*t = 95, -4*u - 3*t + 91 - 18 = 0. What is the remainder when u is divided by 8?
6
Let i(l) = 2*l - 6. Let a be i(6). What is the remainder when 58 is divided by (1 - -19)*3/a?
8
Suppose 2*h - 36 = 28. Let a(i) = -i + 5. Calculate the remainder when h is divided by a(-6).
10
Let u(l) = 63*l**2 + 2*l - 1. Let g be u(1). Let x = -30 + g. Calculate the remainder when x is divided by 12.
10
Let d(p) = p**2 - p. Let n(x) = 5*x**2 - 16*x - 6. Let u(m) = 6*d(m) - n(m). Suppose 2*c - 20 + 8 = 0. Calculate the remainder when u(-11) is divided by c.
5
Let p = 18 + -7. What is the remainder when 41 is divided by p?
8
Suppose -2*c + 4*c - 2*u = 2, -2*u = c - 16. Suppose t = c - 2. What is the remainder when (3/4)/(5/100) is divided by t?
3
Let b(k) = k**3 - 14*k**2 - 9*k + 1. Calculate the remainder when b(15) is divided by 31.
29
Let y(a) = -a**3 + 3*a**2 + 6*a - 2. Suppose -19*c + 4 = -18*c. What is the remainder when y(4) is divided by c?
2
Suppose -4*x + 6 = x + 3*r, 3*x = -r + 6. Suppose -j = x*j. Suppose -5*v + 75 = 5*h - j*v, -v = -1. What is the remainder when h is divided by 5?
4
Let k(i) = -8*i. Suppose 5*q + 1 = 111. Calculate the remainder when q is divided by k(-1).
6
Suppose -5*b + 7*u + 40 = 2*u, 0 = -5*b - 5*u - 10. Suppose 4*y + 0*f - 64 = 4*f, -4*y - b*f = -64. What is the remainder when 46 is divided by y?
14
Let l be (-6)/10 - (-94)/(-10). Let i be (20/(-6))/(l/15). Suppose a + 11 = -f + i*f, 2*a = -3*f. What is the remainder when f is divided by 1?
0
Let p(n) = n**3 - 4*n**2 + 2*n - 7. Let i be p(4). Calculate the remainder when 38 is divided by 8/2 - -9*i.
12
Suppose w = -4*w - 2*s + 60, -w = 3*s + 1. Let t be (-1)/(-1*1/w). Let c = t - 3. What is the remainder when 20 is divided by c?
9
Let d(g) = 12*g**2 + 5*g + 2. Calculate the remainder when 77 is divided by d(-2).
37
Let v = 84 - 68. What is the remainder when v is divided by 10?
6
Let u(x) = -x**3 + 3*x**2 - x. Let l(v) = v**3 - 6*v**2 + 3. Let p be l(6). Suppose 0 = p*c - 1 - 2. Calculate the remainder when u(2) is divided by c.
0
Suppose 0*o - 4*o - y = -14, -5*o + 5*y + 5 = 0. Let r = 20 + -12. What is the remainder when r is divided by o?
2
Suppose 3*y - d + 6*d = 34, -3*y + 29 = 4*d. Suppose -7 = -y*f + 5. Suppose -40 = -f*k - k. Calculate the remainder when 21 is divided by k.
5
Let f be (196/(-42))/(2/(-3)). Suppose d = 2*y + 22, 0 = -2*d - 0*y - 4*y + 36. Calculate the remainder when d is divided by (-1)/(6/f - 1).
6
Let d = 2 - 17. Calculate the remainder when 6/d - 246/(-15) is divided by 9.
7
Suppose -4*z + 155 = 7. Calculate the remainder when z is divided by 19.
18
What is the remainder when ((-66)/3)/((-1)/4) is divided by 30?
28
Let f be 0 - ((-6)/(-2) - -7). Let g = f - -23. What is the remainder when 37 is divided by g?
11
What is the remainder when 1 + (0 - (-11 - -1)) is divided by (-2)/(-3) - (-30)/9?
3
Let w(b) = -3*b**3 + 2*b**2 - 2*b + 1. Let t be w(1). Let q be ((-24)/18)/(t/3). What is the remainder when (-218)/(-11) - q/(-11) is divided by 7?
6
Let r be (14/21)/((-2)/(-48)). What is the remainder when 30 is divided by 120/r + (-1)/(-2)?
6
Suppose 6*y + 3 = 27. Suppose 9 - 145 = -y*q. Calculate the remainder when q is divided by 7.
6
Let h = -2 + 4. Suppose h*g - 28 = -2. Suppose 2 - 4 = b, b = -5*r + g. Calculate the remainder when 8 is divided by r.
2
Let m = -26 + 41. Let u be ((-24)/16)/(3/(-6)). Calculate the remainder when 22 is divided by (-54)/m*(-10)/u.
10
Let w be ((-1)/3)/(2/(-138)). Let k = w + -16. What is the remainder when k is divided by 4?
3
Suppose 0 = j - 6*j + 15. Suppose j*q - 5*w - 17 = 0, -4*w = -4*q - 3*w. Calculate the remainder when q*(-10)/(-6)*-39 is divided by 22.
21
Suppose -4*n - f + 8 = -5*f, -4*n = -2*f - 10. Suppose -4*x + 22 = -0*x + 2*p, -p = 4*x - 19. Calculate the remainder when x is divided by n.
1
Let n(g) be the third derivative of 0*g + 0 - 1/6*g**3 - 11/12*g**4 + g**2. Calculate the remainder when n(-1) is divided by 11.
10
Let h = -26 + 117. Calculate the remainder when h is divided by 23.
22
Suppose -j + 36 = 4*u, -u + 3*j + 2 = 6. Suppose -5 = u*f - 9*f. Suppose 250 = -0*n + f*n. Calculate the remainder when n is divided by 17.
16
Suppose 9*n = 5*n. Suppose 4*d - 3*o 