n t(d) is divided by 11.
8
Suppose 7 + 3 = -2*u. What is the remainder when 30 is divided by ((-8)/u)/(10/100)?
14
Suppose d - 6 = -d. Suppose -3*a - 2*a + d*i = -55, 3*a - 33 = -2*i. Calculate the remainder when 31 is divided by a.
9
Suppose 8 = 2*g, -5*d + 3*g = -g - 194. What is the remainder when d is divided by -1 - (-1 + (-15 - 0))?
12
Suppose m - 16 = -0*m. Suppose 0 = -4*f + m, 2*h - 7*f = -2*f + 26. What is the remainder when 45 is divided by h?
22
Let o(p) = 2*p**3 - p**2 + 3*p - 4. Let w(h) = -5*h**3 + 2*h**2 - 5*h + 7. Let g(n) = 7*o(n) + 4*w(n). Calculate the remainder when g(-1) is divided by 2.
0
Let v be (-1)/(-2 + (-178)/(-90)). Let c = v - 16. What is the remainder when 55 is divided by c?
26
Suppose 1 = 3*g + 4, -25 = -5*a - 5*g. Suppose -a*d + d = -80. Suppose 0 = 4*v - 3*w - 21, 2*v - 10 = 2*w. Calculate the remainder when d is divided by v.
4
Let o(i) = 11*i + 12. Calculate the remainder when o(6) is divided by 31.
16
Let z = 176 - 118. What is the remainder when z is divided by 20?
18
Let m(y) = -y**3 + 7*y**2 + 2*y + 4. Let c be m(7). Suppose -l = 0, -42 = -3*n - 0*l + 2*l. Calculate the remainder when (1*c)/((-4)/(-12)) is divided by n.
12
Let h(n) = 2*n**3 + 14*n**2 - 16*n + 10. Let u(y) = -3*y**3 - 15*y**2 + 17*y - 9. Let d(s) = 4*h(s) + 3*u(s). What is the remainder when d(9) is divided by 20?
18
Let o = 1 + 5. What is the remainder when 9 is divided by o?
3
Suppose -5*f + 97 = 37. Calculate the remainder when 47 is divided by f.
11
Let x(u) = -u**3 - 6*u**2 - 2*u + 9. Let m be x(-7). Suppose -4*g = -3*a + g + m, 2*a = g + 41. Calculate the remainder when 4/2 + a + -4 is divided by 9.
8
Let w(g) = g**3 - 7*g**2 + 3*g + 4. Let c be w(6). Let i(u) = -u**3 - 13*u**2 + 12*u - 17. What is the remainder when 42 is divided by i(c)?
9
Let c(t) = t + 3. Let h be c(3). What is the remainder when ((-12)/3)/((-3)/h) is divided by 3?
2
Let g = -5 + 58. Calculate the remainder when g is divided by 15.
8
Let l = 105 + -38. Suppose -l = -5*u - 12. Calculate the remainder when 21 is divided by u.
10
Calculate the remainder when 32 is divided by -2*(1 - 15/6).
2
What is the remainder when 1729/57 + (-4)/(-6) is divided by 4?
3
Suppose 2*p - 90 = -j, -6*p = -3*p - 2*j - 149. Calculate the remainder when 92 is divided by p.
45
What is the remainder when 63 is divided by (1/(-1) + 14)*(-12 + 13)?
11
Let c(a) = a**3 + 7*a**2 - 7*a. What is the remainder when c(-7) is divided by 17?
15
Let z = 4 - 0. What is the remainder when 5 is divided by z?
1
What is the remainder when 2073/9 + (-5)/15 is divided by 33?
32
Let o(x) = -x**2 + 7*x - 1. Calculate the remainder when 20 is divided by o(4).
9
Suppose -358 + 33 = -5*s. What is the remainder when s is divided by 17?
14
Let v(h) = 7*h**2. Suppose -5*d + 27 = u, -5*u - d + 9 = -6. Calculate the remainder when v(1) is divided by u.
1
Suppose 2*f - 3*d = 11, -3*f + 6 = -d - 7. Let m = f + -1. Suppose -3 = v + j - 6*j, -m*j + 46 = 2*v. Calculate the remainder when 33 is divided by v.
16
Let z(c) = 3*c - 13. Calculate the remainder when z(7) is divided by 6.
2
Let h(o) = o + 2. Suppose 18 - 3 = -5*l + 5*t, -5*l + 4*t - 12 = 0. Let k = -1 - -6. What is the remainder when k is divided by h(l)?
1
Let n be 127/2 + (-12)/(-8). Suppose -3*a - 3*d - 195 = d, a - 3*d = -n. Let g = a + 100. Calculate the remainder when g is divided by 18.
17
Let h = 83 - 33. Suppose -6 = -3*c + 45. What is the remainder when h is divided by c?
16
Suppose -2*j - 25 = m + 1, 0 = 3*j - 4*m + 50. Let x = -1 - j. What is the remainder when 23 is divided by x?
10
Let l = -3 + -10. Let w = 29 + l. What is the remainder when w is divided by 9?
7
Let j be ((-2)/4)/(2/(-12)). Suppose j*m + 60 = 7*m. Calculate the remainder when m is divided by 8.
7
Suppose 4*w - 35 = -3. Let v = w - 4. What is the remainder when v is divided by 3?
1
Let p(m) = m**3 - 3*m**2 - 6*m. Let u be p(5). Suppose 5*y + 5 = u, -4*r = 5*y - 31. Calculate the remainder when r/(-6)*(0 + -6) is divided by 3.
1
Let g(x) = 3*x - 11. Let t be g(5). Let j(a) = 2*a**2 + 1. What is the remainder when j(t) is divided by 12?
9
Let j = -1 - -14. Let y(c) = -2*c**3 - c**2 + 2*c - 3. Let q be (-1)/(-4)*-2*6. Calculate the remainder when y(q) is divided by j.
10
Suppose 2*t - 2*l + 16 + 160 = 0, 0 = 4*t - 2*l + 348. Let k = -37 - t. Suppose 22 = 3*u - 29. What is the remainder when k is divided by u?
15
Let h(g) = -g**3 - 3*g**2 - 1. Let o be h(-6). Suppose -o + 9 = -2*b. What is the remainder when b is divided by 17?
15
Suppose 0 = 4*q - q + 5*t + 1, 5*t = -2*q - 9. What is the remainder when 28 is divided by q?
4
Suppose -8*o = -4*o + 20. Let h = 34 + o. Calculate the remainder when 83 is divided by h.
25
Calculate the remainder when 49 is divided by 8 - (-20)/25*-5.
1
Let c(s) = s**3 + 11*s**2 - 4*s - 5. Calculate the remainder when 76 is divided by c(-11).
37
Let w(z) = -17*z + 2. What is the remainder when 56 is divided by w(-1)?
18
Suppose 2*m - 5*b - 6 = 0, 36 + 23 = 3*m + 5*b. What is the remainder when 37 is divided by m?
11
Let w = -4 + 7. Suppose -44 = 4*m - 6*m. Suppose -w*u + m = 1. What is the remainder when 19 is divided by u?
5
Suppose 0 = s - 2*n, -2*s = -2*n + 3*n. Suppose 5*h - 5*j = 60, -3*h + j + 30 = -s*j. Calculate the remainder when 33 is divided by h.
6
Let j(v) = -v**2 + 7*v + 7. Let i(r) = r**2 - 7*r - 8. Let q(t) = 2*i(t) + 3*j(t). Calculate the remainder when 52 is divided by q(6).
8
Calculate the remainder when 62 is divided by 4/(-18) - 438/(-27).
14
Let s(q) = q**3 - q + 2. Let b be s(0). Suppose 0*w = b*w - 70. What is the remainder when w is divided by 12?
11
Let n = 31 - 17. Suppose -n = -2*i - 5*a, -2*i - a - 6 = -6*a. Suppose -i*m + 5*m = 24. Calculate the remainder when m is divided by 3.
2
Let d(v) = -2*v + 5. Let t be d(5). Let b(l) = 2*l**2 + 2*l + 9. Calculate the remainder when b(t) is divided by 13.
10
Let p be 48/10 + (-6)/(-30). Suppose -5*d = 5*o - 35, d - p*d = -4*o - 52. What is the remainder when 22 is divided by ((-4)/d)/(3/(-60))?
6
Suppose -4*x + 4 = -0. Suppose -h = -4*v - 10, -2*h - 4*v - 3 = x. Calculate the remainder when ((-26)/(-4))/(h/4) is divided by 7.
6
Suppose p - 5*u = -2*p + 19, -4*p + 18 = -3*u. What is the remainder when 51 is divided by 903/49 + p/(-7)?
15
Suppose 2*n - 25 = 3. Suppose 3*f - 386 - 26 = 2*z, -2*z = -5*f + 684. Let a = f + -96. What is the remainder when a is divided by n?
12
Let p(a) = -a**3 - 7*a**2 - 11*a + 2. What is the remainder when 60 is divided by p(-6)?
28
Suppose 2*n + 0*n = 0. Suppose n*v - 3*v - 34 = 2*s, v + 38 = -2*s. Let p = -10 - s. Calculate the remainder when p is divided by 4.
2
Let g(x) = 2*x**3 + 14*x**2 - 19*x - 17. Calculate the remainder when 148/6 - (-2)/6 is divided by g(-8).
4
Let o = -9 - -26. What is the remainder when o is divided by 9?
8
Suppose 2*g + 2*g - 8 = 0. Suppose 0 = 3*b - 6*b. Let f(h) = h**2 + 2*h + 3. What is the remainder when f(b) is divided by g?
1
Let c = 13 - 22. What is the remainder when 9 is divided by (-6)/c - (-21)/9?
0
Suppose 0 = x - 4*x + 33. Let f(a) = a + 1. Let o be f(-3). Calculate the remainder when (-2 - o) + 2*16 is divided by x.
10
Suppose t + 5*c = 1, 2*t - 2*c - 28 = c. What is the remainder when 119 is divided by t?
9
Suppose 6*w - w = 30. Suppose -8*c + w*c = -34. What is the remainder when c is divided by 9?
8
Let t be (4 + -3)/1 - 3. What is the remainder when 22 is divided by (-21)/(-3) + (t - -3)?
6
Suppose 0 = -4*k + 3*r + 65, -4*k + k = -5*r - 57. Calculate the remainder when k is divided by 4.
2
Suppose -x = 2*x - 6. What is the remainder when x is divided by (-2)/(-6)*(7 - 1)?
0
Let j be 52/(-14) - (-4)/(-14). Let y(p) be the first derivative of 2*p**3/3 + p**2 + 2*p - 7. What is the remainder when y(j) is divided by 14?
12
Let l(x) = x**2 + 0*x**2 - 212 + 3*x + 217. What is the remainder when l(-3) is divided by 3?
2
Let f(p) = 61*p + 1. What is the remainder when f(1) is divided by 16?
14
Let f(c) = -c**3 + 3*c**2 - 1. Let g be f(2). Suppose r - g*r + 14 = 0. What is the remainder when r is divided by 3?
1
Calculate the remainder when 16 is divided by 38/4 - (-1)/(-2).
7
Suppose 3*z = 4*u + 6*z + 19, -3*u = 3*z + 18. Let t = -4 - u. Let s = t - -4. What is the remainder when s is divided by 1?
0
Let p = 50 - 29