 c. What is the remainder when 20 is divided by a?
6
Suppose 0 = 4*h + 2 + 6. Let a(c) = 4 + 13 - 3*c - 19. What is the remainder when 10 is divided by a(h)?
2
Let q(i) = i**3 + 20*i**2 + 13*i + 6. Let k be q(-12). Let v(g) = 7*g**2 + g. Calculate the remainder when (-2)/11 + k/66 is divided by v(-1).
3
Suppose 0 = 5*b - 130 - 40. Calculate the remainder when b is divided by 9.
7
Suppose -5*q + 3*q + 27 = -3*f, f = 3*q - 44. Calculate the remainder when 43 is divided by q.
13
Suppose -9*a = -3*a - 54. What is the remainder when a is divided by 1?
0
Let d = 120 - 59. What is the remainder when d is divided by 16?
13
Let b(v) = -v**3 + 7*v**2 - 2*v + 6. Let f be b(7). Let u(y) = 5 - 2*y + 0*y + y. Calculate the remainder when 38 is divided by u(f).
12
What is the remainder when ((5 + -9)/(-12))/(1/213) is divided by 12?
11
Let g = -39 - -43. Let t = -20 - -39. Calculate the remainder when t is divided by g.
3
Suppose -4*k - m + 170 = 0, 2*k - 5*k + 120 = -3*m. What is the remainder when 208 is divided by k?
40
Suppose -5*p - 20 = 0, 0 = -9*t + 4*t + 3*p + 42. Calculate the remainder when 21 is divided by t.
3
Suppose -4*a - 5*p - 17 = 0, 3*a - 2*p + 3*p = 1. Suppose 3*h = -a*h + 5. Calculate the remainder when -1 + (h - -2) - -6 is divided by 5.
3
Suppose 0 = -4*f - 0*c + 2*c + 76, 0 = -3*f + c + 57. Suppose 0*w = -4*w + 148. Suppose -3*p + w = 7. Calculate the remainder when f is divided by p.
9
Suppose -2*b + b = -18. What is the remainder when 17 is divided by 176/b - 22/(-99)?
7
What is the remainder when -2 + 148 - (6 - (11 + -5)) is divided by 30?
26
Suppose 5*a = a + 12. Let i = a - 5. Let m = 16 + i. Calculate the remainder when 40 is divided by m.
12
Let w(t) = -t**2 + 6*t + 6. Suppose -5*a - 126 = -5*i - 16, 0 = -5*i - a + 98. Calculate the remainder when (-4 - i)*(-4)/6 is divided by w(6).
4
Suppose 2 = v - 2. Let r = -8 + v. Calculate the remainder when 17 is divided by r*-2*(-18)/(-16).
8
Suppose 2*q + 6 = -4*k - 2, 2*q + k + 11 = 0. Let a = q + 38. What is the remainder when a is divided by 17?
15
Calculate the remainder when (147/6)/(3/6) is divided by 13.
10
Let i(o) = 3*o - 24. What is the remainder when (8/(-5))/(1/(-20)) is divided by i(11)?
5
What is the remainder when 51 is divided by 18*((-45)/10 - -2 - -4)?
24
Suppose -3*a = -5*y - 45, 5 = 2*a - a. What is the remainder when 43 is divided by (-129)/y + (-6)/(-4)?
20
Suppose -4*v + 81 = 5. What is the remainder when 94 is divided by v?
18
Let i(h) = h - 2. Let o(x) = x**3 - 4*x**2 - 2*x - 5. Let g be o(5). Calculate the remainder when 29 is divided by i(g).
5
Let o = 83 + -73. What is the remainder when o is divided by 6?
4
Let r(o) = -8*o - 3. Let v be r(-2). Suppose -2*x - t - 1 = -3*x, 3*x + v = -t. Calculate the remainder when 19 is divided by (-2*1)/(x/15).
9
Let a(v) be the first derivative of v**3/3 + 3*v**2/2 - 9*v - 4. What is the remainder when a(6) is divided by 23?
22
Let n(x) = 16*x**2 - x + 1. Let w(f) = f**2 + 5*f + 1. Let y be w(-5). What is the remainder when 45 is divided by n(y)?
13
Let p = 424 - 108. Suppose 0*i - 4*i - 55 = -5*r, r - 2*i = 11. What is the remainder when p/10 - (-2)/5 is divided by r?
10
What is the remainder when 46 is divided by ((-8)/(-3))/(28/126)?
10
Let l be 1/(((-3)/2)/(-3)). Let v(f) = 4*f + 2. What is the remainder when v(l) is divided by 3?
1
Let h(w) = w**3 + 11*w**2 + 9*w - 1. Let j = -21 - -49. Suppose -23 - j = -3*c. Calculate the remainder when c is divided by h(-10).
8
Let s(c) = c**2 + 3*c + 1. What is the remainder when 19 is divided by s(-5)?
8
Suppose 0 = 4*a - 12, -3*a - a = -4*c + 72. Calculate the remainder when 81 is divided by c.
18
Let u = 36 + -22. Suppose 4*y - 6 = u. Let f = 15 - y. Calculate the remainder when 29 is divided by f.
9
Let b be (6 - -31) + (1 - 2). Let k(o) = o**3 + o + 82. Let q be k(0). Let g = q - b. What is the remainder when g is divided by 12?
10
Let a(j) be the third derivative of j**6/120 - j**5/20 + j**4/24 + j**3/3 - j**2. What is the remainder when 9 is divided by a(3)?
4
Calculate the remainder when 0 + 14 + 5 - -3 is divided by 13.
9
Let w(s) = s**2 - 5*s + 7. Calculate the remainder when w(7) is divided by 11.
10
Suppose 9 = -3*v - r + 4*r, 0 = -2*v + r - 2. What is the remainder when (3 + -3 - v) + 33 is divided by 11?
10
Let m(h) = -h**3 - 4. Let v be m(0). Let t = v - -7. Calculate the remainder when 50 is divided by (-1)/t + (-156)/(-9).
16
Let l(r) = 41*r**2 + 2*r - 2. Calculate the remainder when l(1) is divided by 14.
13
Suppose -37 = -4*b - 13. Calculate the remainder when 15 is divided by b.
3
Let r = 4 - 3. Let q be r/1 + (-2 - 27). Let x = -10 - q. Calculate the remainder when 53 is divided by x.
17
Suppose 2*n + n - 99 = 0. What is the remainder when n is divided by 10?
3
Let n(x) = -x**2 + 10*x + 5. Let g be n(10). Suppose 5*d - g*p - 47 = 98, 73 = 3*d + 4*p. What is the remainder when d is divided by 7?
6
Suppose 92 - 22 = 5*b. Let x(v) = -v**3 + 13*v**2 + 18*v + 7. Calculate the remainder when x(b) is divided by 16.
15
Suppose -8*g = 8*g - 512. What is the remainder when 222 is divided by g?
30
Let u(c) = -c - 3. Let w be u(-5). Suppose r = -2*k + 14, 0*r + 6 = -w*k + 4*r. Calculate the remainder when k is divided by 3.
2
Let d(x) = x + 8. What is the remainder when 14 is divided by d(0)?
6
Suppose -4*s + 190 = 70. What is the remainder when 119 is divided by s?
29
Suppose -4107 = -5*s + 4*t + 5813, 4*s - 7936 = 2*t. What is the remainder when (-2)/(-10) - s/(-80) is divided by 7?
4
Suppose -n - 17 = -c, -2*c - c - 4*n + 23 = 0. What is the remainder when 24 is divided by c?
11
Suppose -2*r + 152 = 2*r. Suppose 2*v = l + r, -5*v + l + 98 = -0*l. What is the remainder when 39 is divided by v?
19
Suppose 0*h + 25 = 5*h. Suppose h*n - 12 - 8 = 0. What is the remainder when n is divided by 3/2*24/18?
0
Let q(t) be the first derivative of -t**4/4 + 2*t**3 + 5*t**2 + 2*t + 2. Calculate the remainder when 44 is divided by q(7).
21
Let s be -2 + (2 - (-13 + 1)). Suppose 2*t - 4*t = s. Let w(j) = -j**3 - 5*j**2 + 7*j + 9. What is the remainder when w(t) is divided by 2?
1
Suppose -2*b + 50 = 2*g + 8, g + 4*b - 6 = 0. Calculate the remainder when g is divided by (-14)/(-28) + 34/4.
8
Suppose -3 = 2*k + 2*g - g, -3*k = 2*g + 6. Suppose 2*a = -k*a. Let x = 1 + a. Calculate the remainder when x is divided by 1.
0
Suppose 0 = -3*s + 7*s - 32. Let g(v) = -v**3 + 7*v**2 + 11*v - 6. What is the remainder when 1/((3/1)/105) is divided by g(s)?
17
Suppose 5*s - 209 = -6*s. What is the remainder when 50 is divided by s?
12
Suppose -6*r = -5*r. Suppose r = -4*b - 0*b + 60. Calculate the remainder when b is divided by 9.
6
Suppose 5*d - 87 = 3*b, -3*b + 8*b - 10 = -2*d. What is the remainder when d is divided by 6?
3
Let v(h) = -17*h**2 - 1. Let u be v(-1). Let z = 40 + u. Calculate the remainder when z is divided by 6.
4
Let x be 6/(-39) + (-54)/(-13). Suppose -2*d = -x*i - 24, 0*d + 2*i - 6 = -2*d. What is the remainder when 10 is divided by d?
4
Suppose -2 = -4*k + 42. Calculate the remainder when (-572)/(-18) + 40/180 is divided by k.
10
What is the remainder when 44 is divided by (-31 + 1)/(3 + -5)?
14
Let w(a) = -a**3 + 15*a**2 + 16*a + 17. Calculate the remainder when 30 is divided by w(16).
13
What is the remainder when 103 is divided by -4 - (-37 + -4 - -2)?
33
Suppose 3*a = -3*i + 30, -i + 5*a - 17 = -3*i. Calculate the remainder when 29 is divided by i.
7
Let m be 1/(1 + (-87)/88). Suppose 7 = 5*s - m. Suppose -109 - 161 = -5*n + z, -155 = -3*n + 2*z. What is the remainder when n is divided by s?
17
Suppose 0*s + 3*s - 42 = 0. Calculate the remainder when 26 is divided by s.
12
Let f(g) = -g**2 + 15*g + 2. What is the remainder when f(13) is divided by 16?
12
Let s = 12 + -21. Let y = 39 + s. Let h = 67 - y. Calculate the remainder when h is divided by 13.
11
Let c = -24 - -60. Suppose 3*b - 15 = c. Calculate the remainder when b is divided by 9.
8
Let i(n) = n + 14. Let f be i(-12). Suppose 5*j - f*l = 32, 5 = -5*l - 0. What is the remainder when 15 is divided by j?
3
Suppose -k = 4*h - 2, 3*k + 3*h - 21 = -k. What is the remainder when 32 is divided by ((-68)/6)/((-4)/k)?
15
Suppose 5*s + 5*y = 140, -11 + 3 = -2*y. Let l be 2*-1*(-2 - -1). Suppose -k + 23 = -2*d, 3*k - 3