5 = 6*p - y*x, 2*p - 15 = -5*x. Calculate the remainder when 54/(-4)*(-2)/3 is divided by p.
4
What is the remainder when 31 is divided by (-164)/(-10) + 2/(-20)*4?
15
Suppose -y + 18 + 41 = 0. Calculate the remainder when y is divided by 15.
14
Calculate the remainder when 11 is divided by 16/(-24)*21/(-2).
4
Let q(h) = -h**3 - 5*h**2 - 2*h + 1. Let s be q(-3). Let c = 15 + s. Suppose c*u - 25 = 7. What is the remainder when 14 is divided by u?
6
Let r = 12 + -3. Let h(l) = -l**3 + 5*l**2 - l + 1. Let z be h(5). What is the remainder when z/(-8) - 66/(-4) is divided by r?
8
Suppose 26 = -3*g - 1. What is the remainder when (-438)/g + (-2)/(-6) is divided by -2*((-2)/(-12) + 80/(-12))?
10
Let m(w) be the first derivative of -2 + 0*w**3 + 0*w - 1/2*w**2 + 9/4*w**4. What is the remainder when 15 is divided by m(1)?
7
Let w = 5 - -20. Calculate the remainder when 122 is divided by w.
22
Let t(x) = 12*x**3 + x**2. Let a be t(1). Suppose -3*j - 5*b = -a, -3*j - 4*b = -19 + 5. Calculate the remainder when 17 is divided by j.
5
Suppose n = -0*n + 46. Suppose 4*z + 3*g - 8 = 0, 3*z - 4 = -5*g + 13. What is the remainder when n is divided by z - 50/(-4)*2?
22
Suppose 2*m - 3 = 1, 3*w - 28 = -2*m. Suppose -n = -1, 2*x + 5*n + 10 = 3*x. Calculate the remainder when x is divided by w.
7
Suppose 32 + 140 = 2*i. What is the remainder when i is divided by 18?
14
Let x = -12 + 62. What is the remainder when x is divided by (-2)/(-4) + (-150)/(-12)?
11
Let r = -9 - -15. Let h be ((-18)/(-15))/(r/15). Suppose -5*g + 35 = -h*v, 4*g + 3*v - 44 = 11. Calculate the remainder when 17 is divided by g.
7
Let d(r) = r**3 + 6*r**2 - 7*r + 2. Let a be d(-7). Suppose 6 = a*o - 8. What is the remainder when 19 is divided by o?
5
Let f be (-1 - (-4 + 2))*80. Let g = 16 - 10. Suppose -g*a = -a - f. Calculate the remainder when a is divided by 9.
7
Let h(k) = -5*k + 20. What is the remainder when 179 is divided by h(0)?
19
Let p(n) = -2*n**3 + 2*n + 2*n**3 - n**3 - 1. Let a = 6 - 8. What is the remainder when 5 is divided by p(a)?
2
What is the remainder when 312 is divided by 490/14*(-2)/(-2)?
32
Let a = 8 - 5. Suppose -2*w + 24 - 104 = -a*s, s = w + 28. Suppose 3*h = b - 0*h - s, b = 5*h + 32. Calculate the remainder when 22 is divided by b.
10
Suppose -158 = -g + l, 2*l - 34 = 4*g - 668. Calculate the remainder when g is divided by 23.
21
Suppose 4*m + 32 = 4*p, -16 = -2*p - 0*p - 4*m. Let s = 6 + -10. Calculate the remainder when (2 + s)*(-26)/4 is divided by p.
5
Let t be 5/10 - (-75)/6. Suppose 0 = -5*k + 2 + t. What is the remainder when k is divided by 2?
1
Calculate the remainder when 54 is divided by ((-56)/(-6))/((-12)/(-18)).
12
Let w be -1 - 2*6/4. Let p = 25 + w. What is the remainder when 40 is divided by p?
19
Suppose -5*l - 5*h + 85 = -110, 10 = -2*h. Calculate the remainder when 131 is divided by l.
43
Suppose 84 = 5*w - w. What is the remainder when w is divided by 12?
9
Calculate the remainder when 64 is divided by (6 + -2)*(-22)/(-8).
9
Let h = 1 - -7. Calculate the remainder when 39 is divided by h.
7
Let m(u) = u**3 + 4*u**2 + 4. Let y(a) = 3*a + 2. Let c be y(-2). Suppose -36 + 8 = -4*g. What is the remainder when g is divided by m(c)?
3
Let b = -4 - -10. Calculate the remainder when 6/(-2)*30/(-9) is divided by b.
4
Let l = 67 - 65. Suppose 4*s - 23 = -s + 2*j, 4*s - 18 = 2*j. Suppose -3*u - m = -5, 3*u - s*u = -5*m - 9. What is the remainder when u is divided by l?
0
Suppose -3*f + 2*d + 82 = 13, -d = 0. Calculate the remainder when f is divided by 12.
11
Let x = 2024 - 4149. Suppose -3*c = 4*z - 60, 5*z - 4*c = -5 + 49. What is the remainder when x/(-45) - 4/18 is divided by z?
11
Let y = 43 - -10. Calculate the remainder when y is divided by 18.
17
Let o(m) = m**2 + 12*m - 30. What is the remainder when 44 is divided by o(-15)?
14
Suppose -5*b - y + 634 = 0, -b + y - 3*y + 125 = 0. Calculate the remainder when b is divided by 33.
28
Let i(l) = -2*l + 6. Let r be i(0). Let w = 15 + r. What is the remainder when 104 is divided by w?
20
Let u = 20 - 13. What is the remainder when 33 is divided by u?
5
Let y(p) = -p**3 - 3*p**2 + 3. Let k be y(-3). Let t(h) = 6*h**2 + 10 + 10*h**k - 11*h**3 + 4*h + 3*h. What is the remainder when t(7) is divided by 4?
2
Suppose 3*n - 39 = 6*n. Let s = -7 - n. What is the remainder when 16 is divided by s?
4
Suppose 0 = -6*s + 2*s. Suppose 0 = -2*o + 14 - s. What is the remainder when 13 is divided by o?
6
Let v(q) = -q + 4. Let m(l) = -l + 3. Let k(i) = -5*m(i) + 4*v(i). What is the remainder when 37 is divided by k(9)?
7
Let j(s) = -s**3 + 9*s**2 - 8*s + 6. Calculate the remainder when j(6) is divided by 23.
20
Let t(m) = m + 1. Let j be t(5). Calculate the remainder when 53 is divided by 3/(-3 + j) - -13.
11
Suppose 4*l - 74 - 42 = 0. Suppose 2*r + 5*w = -2, r - l = w + 4*w. What is the remainder when 26 is divided by r?
8
Let y(z) be the second derivative of -z**4/12 + z**3 + 4*z**2 + 8*z. Suppose 4*d - 24 = -0*d. Calculate the remainder when 15 is divided by y(d).
7
Calculate the remainder when (-25)/(((-8)/4)/2) is divided by 9.
7
Let b = 55 - -61. What is the remainder when b is divided by 39?
38
Suppose 4*l - 3*m + 11 = 37, -4*m = 5*l - 48. Let r = -49 + 71. What is the remainder when r is divided by l?
6
Let m(y) = 5*y - 2. Suppose 0 = 4*g - 14 + 2, g = t. Suppose -2*q + 15 = -t*z + 5, 4*q - 26 = 3*z. What is the remainder when m(5) is divided by q?
7
Let j = 33 + -19. Let t = -5 + j. Calculate the remainder when 33 is divided by t.
6
Suppose 4*g - 12 - 48 = 0. Let r = -7 + 13. Calculate the remainder when g is divided by r.
3
Suppose -1322 = -4*w + 958. Suppose 3*g = 8*g - w. What is the remainder when g is divided by 29?
27
Let y(f) = f**2 - 8*f + 3. Let a be y(8). Suppose -p - 3 = -a*z + 2*p, 4*z - 5*p = 4. Calculate the remainder when 2 is divided by z.
0
Let b = 9 + 7. What is the remainder when 47 is divided by b?
15
Let i = -21 + 37. What is the remainder when 47 is divided by i?
15
Suppose -2*r - 10 = 0, -5*y - 2*r - 80 = r. Calculate the remainder when 38 is divided by -1*(y + -1 + 1).
12
Suppose 0*c = -2*c + 12. What is the remainder when 33 is divided by 9*3*2/c?
6
Let c(p) = 2*p**2 - 9*p + 4. What is the remainder when c(7) is divided by 7?
4
Suppose 48 + 37 = 5*k. Calculate the remainder when k is divided by 10.
7
Let y = 1 + 1. Let t(u) = -u**3 - 8*u**2 - 8*u - 4. Let x be t(-7). Let j = y + x. Calculate the remainder when 13 is divided by j.
3
Suppose 4*o - 21 = -9. Suppose 5*l - 1 = -6. Let k = l + 6. Calculate the remainder when k is divided by o.
2
Let y(h) = -h**3 + 5*h**2 - 2*h - 2. Let s be y(4). Let b(d) = -6*d + d - 6 + d**2 + s. What is the remainder when 25 is divided by b(7)?
11
Let v = 16 + -9. Let u(i) = i + 6. What is the remainder when u(5) is divided by v?
4
Suppose -9 + 15 = s. What is the remainder when ((-5)/2)/((-2)/12) is divided by s?
3
Suppose 11 = 4*z - 3*p, -9*p = -4*p + 25. What is the remainder when 18 is divided by (z + 5)*(-50)/(-40)?
3
Suppose 0*l = -4*l + 108. Suppose 0 = -3*m + 4*m - l. Calculate the remainder when m is divided by 14.
13
Calculate the remainder when ((-2)/(-6))/(5/255) is divided by 8/28 - 61/(-7).
8
Let r = 7 + -4. Suppose -r*b = -2*k + 8, -5*k + 3*b + 20 = b. What is the remainder when 10 is divided by k?
2
Let f = 93 + -54. Suppose o - 30 = -4*o. What is the remainder when (30/4)/(f/52) is divided by o?
4
Suppose j = -17 + 41. Calculate the remainder when 67 is divided by j.
19
Let u(l) = -8*l. Let q = -1 - 4. Calculate the remainder when u(q) is divided by 14.
12
Let b(n) be the third derivative of 7*n**6/120 - n**5/60 - n**4/12 + n**3/6 + 3*n**2. Calculate the remainder when b(2) is divided by 17.
15
Let g be 6*3/9*1. Suppose -3*d - 10 = -g*q, -5*d - 2*q + 15 = q. What is the remainder when 11 is divided by (d/(-3))/2 - -6?
5
Suppose 0 = 3*l + 3, -2*p + 2*l + 4 - 2 = 0. Suppose 5*s - 2*y - 304 = 0, p*y - 3*y = 3*s - 174. What is the remainder when s is divided by 21?
18
Let b(l) = l**2 - 3*l - 6. Let g be b(5). Suppose -2*k - 5*p = 2*k - 30, -5*k - g*p + 42 = 0. Let c = 69 - 40. Calculate the remainder when c is divided by k.
9
What is the remainder when -2 + (-183)/(-5) - 3/5 is divided by 19?
15
Suppose -4*i + 0*i = 0. Suppose i*v = -4*