x = 25 - b. What is the remainder when p(3) is divided by x?
12
What is the remainder when 99 is divided by ((-5)/1)/(2/(-10))?
24
Let f be 3/(-2)*(-24)/9. Suppose 2*k = f*n - 184, 0*k = -5*n + 5*k + 235. What is the remainder when n is divided by 12?
9
Suppose 6*a - 268 = 4*a. Calculate the remainder when a is divided by 27.
26
Let t(i) = -2*i + 7. Let u be t(10). Let a = -10 - u. Calculate the remainder when a is divided by 1.
0
Let u = 89 - 56. Let r = -7 + 16. What is the remainder when u is divided by r?
6
Let h(y) = y**3 - 2*y**2 + 2*y. Suppose -2*a + 13 = 3. Suppose a*j - 3 = 4*j. Calculate the remainder when h(2) is divided by j.
1
Suppose 84 = 5*u + 34. Suppose 2*v = -u, 3*q - 23 = 4*v - 6*v. Suppose 5*i = 9 + 141. What is the remainder when i is divided by q?
8
Let r = 25 + 2. Let m(p) = -p**3 - 12*p**2 - 13*p - 15. What is the remainder when r is divided by m(-11)?
6
Let v(o) = 2*o**2 - o. Let s be v(-1). Suppose -s*w + 2*w = -41. Let q(u) = u**3 + 4*u**2 - 2*u - 4. Calculate the remainder when w is divided by q(-3).
8
Let h = 3 - 5. Let o = 4 + -6. What is the remainder when 13 is divided by (7/h)/(1/o)?
6
Let h(b) = b**2 + 8*b - 4. Let r be h(-9). Suppose -r*u + 34 = v + v, u + 34 = 2*v. What is the remainder when 49 is divided by v?
15
Let q be (3 - 5)*1/2. What is the remainder when (q/1)/((-6)/120) is divided by 8?
4
Let g(c) = c**3 - 16*c**2 + 15*c + 19. What is the remainder when g(15) is divided by 2*(0 + 22/4)?
8
Let c(g) = 5*g**2 - 2*g + 1. Calculate the remainder when 49 is divided by c(2).
15
Let b be (31/(-3 - -2))/(-1). Let a = b + 31. Calculate the remainder when a is divided by 16.
14
Suppose 2*b = 2*f - 121 - 43, -3*f + 2*b + 241 = 0. Calculate the remainder when f is divided by 20.
17
Suppose -2*r - 10 + 218 = 0. Calculate the remainder when r is divided by 36.
32
What is the remainder when 18 is divided by (1 + 46/(-6))*(-9)/6?
8
Suppose t - 6 = -y - 0*y, 4*y = 2*t + 54. What is the remainder when y is divided by 3/6 - 14/(-4)?
3
Suppose 2*d - 4*l = -0*l - 10, 0 = -2*d + l + 2. Let a = 4 - d. Calculate the remainder when (-6)/4 - 7/(-2) is divided by a.
0
Let i(h) = -h**2 + 11*h + 17. What is the remainder when 8 is divided by i(12)?
3
Let v(y) be the first derivative of 1/3*y**3 + 7/4*y**4 - y + 1/2*y**2 - 3. What is the remainder when 14 is divided by v(1)?
6
What is the remainder when 119 is divided by (6 + -4 - 6) + 45?
37
Calculate the remainder when -72*((-21)/(-4))/(-7) is divided by (-2)/4 - 312/(-16).
16
Suppose 5*r - 101 = 49. Let n(h) = -9*h - 207. Calculate the remainder when n(-36) is divided by r.
27
Suppose 2*w + 3*r = -0*w - 6, 0 = -3*w - r + 5. Calculate the remainder when 11 is divided by w.
2
Suppose 2 + 1 = 4*b + 3*j, 3*j - 3 = -2*b. Suppose -52 = -b*o - 4*o. Calculate the remainder when 50 is divided by o.
11
Suppose 3*f + 2*f = 75. Let r(v) = -v**3 - 5*v**2 - v + 3. Let c = -4 + -1. What is the remainder when f is divided by r(c)?
7
Let d be (6/(-5))/(6/20). Let m = 13 - d. What is the remainder when 48 is divided by m?
14
Let t(w) = 17*w - 11. What is the remainder when t(5) is divided by 19?
17
Let j(s) = s**2 + 4*s + 6. Calculate the remainder when -2*1/(-2)*11 is divided by j(-4).
5
Suppose 0 = -4*p + 73 - 5. What is the remainder when p is divided by -1*(4 - 3 - 0 - 11)?
7
Suppose 0 = 4*r - 196 + 76. Suppose r = 5*a + 5*o - 0*o, -6 = -a - 5*o. Suppose -1 + a = w. Calculate the remainder when 8 is divided by w.
3
Let x(b) = -b + 10. What is the remainder when x(-8) is divided by 11?
7
Let w be 5/2 - (-21)/(-14). Let p(h) = 17*h. Calculate the remainder when p(w) is divided by 10.
7
Suppose -5*g + 6*g - 50 = 0. Let l = -3 + 20. What is the remainder when g is divided by l?
16
Suppose -3*v = x - 9, -20 = -0*v - 2*v + 4*x. What is the remainder when 21 is divided by 3 - (4 - v - 3)?
3
Suppose -13*f - 153 = -30*f. Let v = -5 - -8. Suppose 8*t = v*t + 165. What is the remainder when t is divided by f?
6
Let n(j) be the third derivative of -j**6/120 + j**5/10 - j**4/24 + 4*j**3/3 + 9*j**2. Calculate the remainder when 5 is divided by n(6).
1
Suppose 0 = 3*g - 12 - 15. Let o(a) be the second derivative of -a**3/6 + 6*a**2 + a. What is the remainder when 5 is divided by o(g)?
2
What is the remainder when ((-488)/(-2))/(2*1) is divided by 41?
40
Let u = 0 + 4. Suppose 0*q - q + u = 0. Let p(w) = -4*w - 1. What is the remainder when p(-2) is divided by q?
3
Suppose 3*n - 1 = 4*l, -3*l + 7 + 8 = 0. What is the remainder when 20 is divided by n?
6
Let i(n) = -n**2 - 10*n + 13. Suppose -t - 14 = -0. Let v = 22 + t. Calculate the remainder when i(-9) is divided by v.
6
Suppose -7 = 4*d - 51. What is the remainder when 43 is divided by d?
10
Suppose -5*h = 46 - 181. Suppose -3*v - 2*v + 4*t = -15, v + 3*t = 22. Calculate the remainder when h is divided by v.
6
Suppose 0 = y - 1 - 5. Let x be (152/(-12))/(2/y). What is the remainder when (0 + -2)/(4/x) is divided by 10?
9
Let v(h) = -h**3 - 9*h**2 - 6*h + 19. What is the remainder when 5 is divided by v(-8)?
2
Let a = 186 + -72. Calculate the remainder when a is divided by 23.
22
Suppose -10 = -q + 2*k - 0*k, -17 = -5*q - k. Let d = 32 - q. What is the remainder when d is divided by 10?
8
Let t(k) = -6*k + 2. Let m be t(4). Let h = m + 46. Calculate the remainder when h is divided by 9.
6
Suppose r = -r + 4, 5*i - 3*r - 49 = 0. Let b(c) be the third derivative of c**5/3 - c**2. What is the remainder when b(-1) is divided by i?
9
Let h(n) = 7*n**2 - 2*n + 2. Let a be h(2). Let t = 1 + a. Let v = 3 - -11. What is the remainder when t is divided by v?
13
Let k(m) be the first derivative of -2*m + 0*m**2 + 10/3*m**3 - 3. What is the remainder when k(-2) is divided by 13?
12
What is the remainder when 127 is divided by 3*(-10 + 8 - (-56)/6)?
17
Suppose 15*u = 12*u + 51. What is the remainder when 67 is divided by u?
16
Suppose 24 = 3*f - 3*n, 3*n = -4*f - 2 + 20. Suppose -4*z - 12 = -f*z. What is the remainder when z is divided by 2?
0
Let t = 30 - 16. Suppose -4*i = 2*h - 214 + t, 2*h - 196 = -3*i. Suppose 5*x + 0*x = 3*j - 138, 2*j - 2*x = h. Calculate the remainder when j is divided by 16.
14
Suppose 18*f - 7*f - 869 = 0. What is the remainder when f is divided by 16?
15
Suppose 3*h - 30 = -5*k, 3*h = 2*k + 2 + 7. Suppose -k*i = -5*i + 8. Suppose 3*v + 16 = -v, -i*v + 35 = 3*u. What is the remainder when u is divided by 5?
2
Let f = 4 + -4. Suppose b - 3*b + 140 = f. Suppose 0 = -10*k + 13*k - 72. What is the remainder when b is divided by k?
22
Let r = 3 - -6. Suppose r*a - 90 = 4*a. Calculate the remainder when 52 is divided by a.
16
Let k = -2 + 3. Let g be k/(3/(-4) + 1). Suppose 4*d + t + 28 = 81, g*d - 48 = 4*t. Calculate the remainder when 24 is divided by d.
11
Let o = -1 + -2. Calculate the remainder when 37 is divided by 2 - (4 + o)*-8.
7
Let n = 72 - -37. What is the remainder when n is divided by 38?
33
Let z(b) = -2*b**2 + 1 - b - 2 + 3*b**2. Calculate the remainder when 20 is divided by z(-3).
9
Suppose -3*d + 4*d - 8 = 0. What is the remainder when 31 is divided by d?
7
Let b be (8/(-3))/(1/(-21)). Let g(y) = 2*y**3 - 6*y**2 - 2*y + 9. Let c be g(4). Let r = b - c. What is the remainder when r is divided by 12?
11
Suppose -2*m - 3*j - 42 = -3*m, 3*j + 12 = 0. Calculate the remainder when 149 is divided by m.
29
Let r = -7 + 6. Let g be 166/(r/((-3)/6)). Suppose 3*a - 139 = g. What is the remainder when a is divided by 19?
17
Let d(q) = -3*q - 11. What is the remainder when 18 is divided by d(-7)?
8
Suppose 5*s + 12 = 6*s. What is the remainder when 41 is divided by s?
5
Let k(o) = 9*o - 6. Calculate the remainder when k(8) is divided by 17.
15
Calculate the remainder when 65 is divided by -3 + 1/(-1) + 37.
32
Let k(s) = s**3 - 12*s**2 - 34*s - 34. Calculate the remainder when k(15) is divided by 11.
10
Suppose 0 = -13*f + 11*f + 4. Suppose 3*j - 45 = -3*q, -j - f*q + 21 = 2*q. Calculate the remainder when 36 is divided by j.
10
Let i be (-1)/(-2) - 106/(-4). Calculate the remainder when (0 - 4)/((-2)/i) is divided by 28.
26
Let d = 1 - -13. Calculate the remainder when 55 is divided by d.
13
Let a = 0 + 23. What is the remainder when a is divided by (-2)/(-4) + 25/2?
10
Let z(c) = 3*c. Let b be z(2). Let v = b + -3. Let m(d) = 27*d + 8.