e remainder when x is divided by n?
11
Let l = 104 - 41. Calculate the remainder when l is divided by 11.
8
Suppose 2*s - 3*s + 921 = 4*n, 2*s + 688 = 3*n. Suppose n = -2*h + 7*h. Calculate the remainder when h is divided by 13 + -1 - (-10 + 6).
14
Suppose 0*m - 5*m - 30 = 0. Let j = 8 - m. Calculate the remainder when 25 is divided by j.
11
Suppose c - 8 = 4*z - 2, -3*z = c + 8. Let n(y) = y + 13. What is the remainder when z - -27 - (0 + 0) is divided by n(-4)?
7
Let g(p) be the third derivative of p**4/8 + p**3/6 + 2*p**2. What is the remainder when g(1) is divided by 3?
1
Suppose 6 = 3*g - 2*g. Suppose 3*f + 4*i = 4, 5*f + i - 39 + 4 = 0. Let n = f + 13. What is the remainder when n is divided by g?
3
Let p = 25 - -41. What is the remainder when 18 is divided by 6/15 + p/10?
4
Suppose 0 = -r + 5*r - 2*w - 120, 2*r - 52 = -3*w. What is the remainder when r is divided by 10?
9
Suppose 2*y - 6 = -2*b + 3*y, 0 = 5*b - 3*y - 15. Calculate the remainder when b is divided by 3 - (0 - -2)/2.
1
Let x(k) = -k**2 + 10*k - 2. Suppose -4*i + 24 = -0*a + 2*a, 2*a + 25 = 3*i. Suppose -7*f = -3*f - 28. What is the remainder when x(i) is divided by f?
5
Let k(j) = -7*j - 79. Calculate the remainder when 74 is divided by k(-15).
22
Suppose 5*n = -3*v + 16, 0*v + 19 = 5*n + 2*v. Suppose 4*d + d = 5*h + 75, -n*d = 5*h - 35. What is the remainder when 21 is divided by d?
10
Let o(a) = -a**2 + 12*a + 3. Suppose 4*g + 12 = y, 4*g + 0*g + 76 = 5*y. What is the remainder when o(9) is divided by y?
14
Let m = -138 + 193. What is the remainder when m is divided by 14?
13
Let m(s) be the first derivative of s**2/2 + 2*s + 3. What is the remainder when 19 is divided by m(5)?
5
Let p(h) = -h**2 - 13*h + 19. What is the remainder when 75 is divided by p(-13)?
18
Suppose 6*v - 3*v = 48. Suppose -8*l + 90 = -5*l. Calculate the remainder when l is divided by v.
14
Suppose 0 = -3*f + 6*f - 51. What is the remainder when f is divided by 6?
5
Let p = 83 - 9. Let a be p/8 - (-2)/(-8). Suppose -3*k + 4*k - 5*u = a, 2*u = 3*k - 53. Calculate the remainder when k is divided by 7.
5
Suppose 0 = -2*l - 21 + 87. Suppose l = 6*j - 3*j. What is the remainder when 30 is divided by j?
8
Calculate the remainder when (-19 + -3)/(2 - 4) is divided by 7.
4
Suppose 12 = 5*m - n, -2*n = m - 3*m. Suppose 2*q = -5*a + 11, -2*q + m*a = -21 - 14. Calculate the remainder when q is divided by 5.
3
Suppose -2*o - 3*r = -3*o - 22, -3*r = 3*o + 78. Let w = 53 + o. Suppose -5*u + 50 = 2*h, u = 5*h + 12 - 2. What is the remainder when w is divided by u?
8
Suppose 2*v = v + 103. Let p = v + -73. What is the remainder when 18 is divided by (p/21)/(1/7)?
8
Let i = -19 + 67. Let f(b) = 2*b. Calculate the remainder when i is divided by f(5).
8
Suppose n - 2*n + 4 = 0. Let u(h) = 2*h**3 - 5*h**2. Let g be u(n). Suppose 2*x = -2*x + g. Calculate the remainder when x is divided by 7.
5
Suppose o + 5 = 2*o. Suppose -5*t - 3*v + 51 = o, -2*v = 6. What is the remainder when 18 is divided by t?
7
Suppose -2*w - 4*i + 820 = 2*w, 5*w + 4*i - 1030 = 0. Let g = w + -143. Calculate the remainder when g is divided by 17.
16
Let d(j) = 17*j - 1. Suppose -20 = 5*i, 0*f - 2*i = 3*f - 4. Let h be d(f). Let w = h + -29. What is the remainder when w is divided by 13?
12
Let r = 12 - 12. Suppose 0*h = 5*m + 3*h - 236, r = m + 5*h - 56. Let i = -18 - -34. Calculate the remainder when m is divided by i.
14
Suppose -4*g + 11 = -49. What is the remainder when g is divided by 6?
3
Let t(d) = -4*d + 2. Let j be t(2). What is the remainder when 20 is divided by 16/j*(9 - 12)?
4
Let v(m) = -2*m**3 - 5*m**2 - 2*m - 9. What is the remainder when v(-4) is divided by 11?
3
Suppose 3*y - 47 = 5*k, 5*y = 3*y - 4*k + 46. Suppose 6 = n - y. What is the remainder when 99 is divided by n?
24
Let u(z) = 15*z**2 - 4*z + 2. What is the remainder when u(1) is divided by 4/10 - (-99)/15?
6
Suppose -3*p = 106 - 34. Let l(y) = -40*y. Let g(q) = -8*q. Let h(b) = p*g(b) + 5*l(b). What is the remainder when 47 is divided by h(-3)?
23
Let a = -23 + 27. Suppose 4*b - a = -0. What is the remainder when 1 is divided by b?
0
Suppose 4 + 2 = 3*k. Suppose -q + 96 = k*q. Suppose -2*z = 3*z + h - 44, -5*z + q = -2*h. Calculate the remainder when z is divided by 5.
3
Let m(c) = c**3 - 5*c**2 + 6*c. Let p be m(5). Let n = p + -15. What is the remainder when 28 is divided by n?
13
Suppose 5*k = -3*a + 9 + 91, -145 = -5*a - 4*k. Suppose 157 + 203 = 5*j. Calculate the remainder when j is divided by a.
22
Let v = 22 + -12. What is the remainder when 29 is divided by v?
9
Suppose -3*z + 0*z + 29 = -2*h, 0 = 4*z + h - 57. What is the remainder when 25 is divided by z/(2*4/8)?
12
Let j(t) = 2*t**2 - 9. Suppose 2*m + 2*q = 4*q - 76, -181 = 5*m - 2*q. Let b = m - -70. What is the remainder when b is divided by j(3)?
8
Suppose -j + 3 + 1 = 0. Suppose -j = -2*k + 8. Suppose z - b = -4*b - 2, -5*b + 10 = 3*z. What is the remainder when z is divided by k?
4
Suppose 8 + 0 = 2*j. Suppose -j*h + h = 5*b - 66, -30 = -3*b - 5*h. Suppose -32*o + 28*o + 116 = 0. What is the remainder when o is divided by b?
14
Let h = -30 + 44. Suppose 0 = 5*x - 2*x. Suppose -3*c = -x*i - 2*i - h, 2*c + 4*i = 4. Calculate the remainder when 7 is divided by c.
3
Suppose 3*b - 1 = 14. Suppose 0 = 2*o - 8, 0*m + 5*o + 35 = b*m. Calculate the remainder when 41 is divided by m.
8
What is the remainder when -1 + -1 + 1 + 72 is divided by 22 - (0 - (3 + -1))?
23
Let x(u) = 3*u**2 - 2*u - 2. Let b be x(5). Suppose 13 = d - 15. Let l = b - d. What is the remainder when l is divided by 18?
17
Suppose y + 9 = -0*m + 2*m, -30 = -3*m - 4*y. What is the remainder when 23 is divided by m?
5
Let w = -9 + 13. Suppose -w*k + 231 = 5*i, -2*k + 6*i + 99 = 3*i. Calculate the remainder when k is divided by 14.
12
Suppose -2*f + 5*k = -23, 5*f - 32 = 3*k - 3. Calculate the remainder when 10 is divided by f.
2
Let n = -28 + 50. Suppose 15*i + 61 + 104 = 0. Let z = n + i. What is the remainder when 41 is divided by z?
8
Let g(z) = 2*z**3 - 5*z**2 + 3*z - 1. Suppose 21*h = 23*h - 98. Calculate the remainder when h is divided by g(3).
15
Suppose 4*b - 2*o + 24 = o, -3*o = 2*b - 6. Calculate the remainder when (-61)/b + 3/(-9) is divided by 11.
9
Let d(n) be the first derivative of 2*n**2 - 1/4*n**4 + 1 + 0*n + 4/3*n**3. Calculate the remainder when d(4) is divided by 6.
4
Let s(z) = z**2 - 7*z. What is the remainder when 1 + (2 - (-2 + -26)) is divided by s(8)?
7
Suppose s - 2*s = -10. What is the remainder when s is divided by 4?
2
Let j(v) = v**2 + 3*v - 5. Let y be j(-4). Let z be (4 + -40)*y/(-2). What is the remainder when 35 is divided by (-2)/(-6) + (-210)/z?
11
Suppose 18 = 3*y + 5*m, -2*y + 24 = y + 3*m. Calculate the remainder when 53 is divided by y.
9
Suppose -t = 4*u + t + 114, 3*u + 4*t + 93 = 0. Let c = u + 73. Calculate the remainder when c is divided by 16.
14
Suppose -14 = -3*g + 5*b - 0*b, b + 47 = 4*g. Let n = 31 - 8. What is the remainder when n is divided by g?
10
Suppose -2*p + 22 = 5*n, -2*p - 4*n + 10 = -10. Calculate the remainder when 4/p - 82/(-3) is divided by 10.
8
Suppose 5*h - 63 = -0*h + 4*c, c = -3*h + 31. Calculate the remainder when 18 is divided by h.
7
Calculate the remainder when 10 is divided by (8 - 1)/1 + -2.
0
Let h be -61 - 5/((-15)/9). Let c = h - -95. What is the remainder when c is divided by 13?
11
Suppose 0 = 4*h - 15*h + 209. Calculate the remainder when 75 is divided by h.
18
Let x(v) = 3*v**2 - 3*v + 1. Calculate the remainder when 146 is divided by x(-3).
35
What is the remainder when 72 is divided by (-4)/6*(-57)/2?
15
Let t(d) = 12*d - 7. Let j(s) = -26*s - 4. Let z be j(-5). Suppose -16 = 5*k - z. Calculate the remainder when t(6) is divided by k.
21
Suppose 2*i - 1 + 7 = 0. Let z be 20/(-6)*(i + 0). Let p = z + 1. Calculate the remainder when 20 is divided by p.
9
Let k = -4 - -17. What is the remainder when k is divided by 7?
6
Suppose -5*b - 144 = -4*a - 4*b, 5*a = 3*b + 187. What is the remainder when a is divided by 12?
11
Let m = 80 - 66. Calculate the remainder when 28 is divided by m.
0
Let o(x) = 4*x. What is the remainder when 47 is divided by o(4)?
15
Suppose -41 = 2*f - 3*f. Let p(b) = -2*b - 22. What is the remainder when f is divided by p(-22)?
19
Let z =