ivided by x.
7
Let v(g) be the third derivative of 5/3*g**3 - 3*g**2 - 1/24*g**4 + 0 + 0*g. Calculate the remainder when 11 is divided by v(7).
2
Let p(f) = -f**2 + 7*f + 6. Let y be p(7). What is the remainder when (14/y)/(1/3) is divided by 2?
1
Let k(s) = 3*s**2 + 2*s - 1. Suppose 4*y = 2*y - 4. What is the remainder when 13 is divided by k(y)?
6
Let t = 6 + -6. Suppose t = 4*v - v - 30. Calculate the remainder when v is divided by 4.
2
Let b = -55 + 71. Calculate the remainder when 29 is divided by b.
13
Let h be 9/12*(-1 + 69). Suppose 0 = -d - 2*m - 3*m + h, -3*d = 3*m - 129. What is the remainder when d is divided by 14?
13
Let t(c) = -c + 9*c - 4*c**2 + c**2 + 14 + 4*c**2. What is the remainder when t(-12) is divided by 21?
20
Suppose -117*y + 115*y + 24 = 0. What is the remainder when 43 is divided by y?
7
Suppose 8 = -4*a, -3*z + a + 507 = -2*a. What is the remainder when z is divided by 24?
23
Suppose 5*z - 182 = 4*a - 45, 2*z - a = 53. Suppose 0 = m - 4*m - 3*x + 141, -2*m = -x - 97. Calculate the remainder when m is divided by z.
23
Suppose -24 - 9 = -c. Calculate the remainder when c is divided by 5.
3
Suppose -2*a - 13 = -3*d + 16, 5*d = 3*a + 48. What is the remainder when d is divided by ((-18)/21)/((-5)/35)?
3
Let r = 17 + -14. Calculate the remainder when 9 is divided by r.
0
Let l(s) = -13*s**3 + s**2 + 2*s + 1. Let y = 6 + -7. What is the remainder when 24 is divided by l(y)?
11
Let y = -17 - -43. Calculate the remainder when y is divided by 6.
2
Suppose 3*s = 4*p - 411, 2*p - 71 = s + 134. What is the remainder when p is divided by 26?
24
Suppose -h - 5 = -2*x, -3*x + 5*h = 18 - 43. Let t be 1 + x - (-3 + 2). Suppose t*l + 3*l - 25 = 0. Calculate the remainder when l is divided by 3.
2
Let v(n) = -n**3 - 11*n**2 - 11*n + 2. Let g be 0 + (-6)/(-3) + -12. Calculate the remainder when 8/(-20) + (-860)/(-25) is divided by v(g).
10
Let u(k) = -k**2 + 17*k - 11. Calculate the remainder when 9 is divided by u(16).
4
Calculate the remainder when (150/4 + 0)*108/90 is divided by 12.
9
Let m(f) = f**2 + f - 1. Let w be m(-3). Calculate the remainder when w*2 - (0 + 0) is divided by 6.
4
Suppose -10 = -w - 3. Let i(f) = -f**3 - 4*f**2. Calculate the remainder when i(-5) is divided by w.
4
Let v(s) = s - 6. Let f = 24 - 13. Calculate the remainder when v(f) is divided by 4.
1
Let a = 3 + 0. Suppose 2*c - 5 = 13. Let w = c - a. What is the remainder when 16 is divided by w?
4
Let j be 2/(2*1/2). Let t = -1 + j. Calculate the remainder when (-3)/(-15) + 4/5 is divided by t.
0
Suppose -45*j + 22 = -44*j. Calculate the remainder when j is divided by 12.
10
Suppose 5*l - i - 28 = 0, 5*l - 3*l = i + 13. Suppose -l*f + 5*t + 70 = 0, -f + 2*t = -0*t - 16. What is the remainder when 35 is divided by f?
11
Let w(l) = -l**3 - 11*l**2 + 12*l + 7. Calculate the remainder when 24 is divided by w(-12).
3
Let w be (-1 - 1)/(2/(-5)). Suppose -p = 5*g - 108, 4*p = -w*g + 9*p + 90. Calculate the remainder when g is divided by ((-12)/12)/((-1)/11).
10
Let k be 0*(-2)/(-24)*4. Suppose 0 = -k*w - 5*w + 55. Calculate the remainder when 43 is divided by w.
10
Let u be -6 - (1 + -4) - -188. Suppose 5*c - u - 24 = 4*n, 5*n = c - 46. Calculate the remainder when c is divided by 14.
13
Let r be (-132)/(-60) + (-2)/10. Suppose 4*v - 11 = -5*n, -r*n + 16 = 3*n - v. Let m(y) = y**2 + 5*y - 3. Calculate the remainder when n is divided by m(-6).
0
Suppose -2*v - 5 = 1. What is the remainder when 13 is divided by (-6 - v - -11) + -3?
3
Suppose -2*t - 4 = 0, 0*i + t = -2*i + 32. Suppose 12 = -4*c + 4, -2*c = h - 2. Calculate the remainder when i is divided by h.
5
Suppose 5*c = -n - 0*n - 82, 2*n = 3*c + 44. What is the remainder when (-1224)/(-64) + 2/c is divided by 7?
5
Let l(a) = -4*a**3 - 4*a**3 + 2*a + 2 + 2*a**3 - 1. Calculate the remainder when l(-1) is divided by 3.
2
What is the remainder when 39 is divided by (-20)/(-1) - 0/(-2)?
19
Let z = -22 + 40. Let m = -102 + 155. What is the remainder when m is divided by z?
17
Calculate the remainder when -4*(-39)/2*1 is divided by 20.
18
Suppose -5*o + 3*q = -90, -2*o - q = 2*o - 55. Suppose -89 - 119 = -5*c + b, 4*b = -12. Calculate the remainder when c is divided by o.
11
Let k(d) = d**2 + 7*d. Let u be k(-8). Let n = 13 - u. What is the remainder when 8 is divided by n?
3
Let q(p) = -11*p - 33. What is the remainder when q(-8) is divided by 18?
1
Suppose 3*w = 74 + 1. Suppose -26 = -3*c + w. What is the remainder when 48 is divided by c?
14
Suppose -2*j - 6 = 0, -5*m + 5*j = -30 - 25. Let g(a) = -a**3 + a**2 - 2*a - 1. What is the remainder when g(-2) is divided by m?
7
Let h(n) = 3*n**2 + 4*n - 9. Let a(z) = -2*z**2 - 3*z + 6. Let f(w) = -8*a(w) - 5*h(w). What is the remainder when 16 is divided by f(-6)?
7
Let w = -2 + 13. Suppose -3*a + w = -2*a. Calculate the remainder when 6*1/4*14 is divided by a.
10
Let k = -113 - -130. What is the remainder when 133 is divided by k?
14
Suppose -8*o + 10*o = 20. Suppose -b + 0*l = l - 17, -l + 36 = 2*b. What is the remainder when b is divided by o?
9
Suppose g + 5 = -4*g. Let k = g - -10. What is the remainder when 55 is divided by 16 + k/(0 - -3)?
17
Let j(z) = z**3 + 5*z**2 - 3*z - 4. Let y(a) = -4*a + 4. Let m be y(4). Let b = m - -32. Calculate the remainder when b is divided by j(-5).
9
Let n = 38 - 27. What is the remainder when ((-1)/3)/(n/(-264)) is divided by 3?
2
Let d = 8 - 3. Suppose -d*u + 2 + 3 = 0. Calculate the remainder when 1 is divided by u.
0
Suppose 3*u - 3*i = 45, -5*u + 13 + 56 = i. What is the remainder when u is divided by 4?
2
Let k = -59 - -97. Suppose -4*t = 51 - 3. Let l = 25 + t. What is the remainder when k is divided by l?
12
Suppose -3*h - 2*h = -405. Suppose -39 = -3*j + h. Suppose 6*c - j = 2*c. Calculate the remainder when 19 is divided by c.
9
Suppose u = 2*u. Suppose o - 3*o + 6 = u. Suppose -c + 4*x + 6 = o, x = 2*c - 20. Calculate the remainder when 32 is divided by c.
10
Let h(w) be the second derivative of w**4/12 + 2*w**3/3 - w**2/2 - 3*w. What is the remainder when h(-5) is divided by 2?
0
Let b = -76 + 102. What is the remainder when 74 is divided by b?
22
Let v = 9 - 3. Suppose -4*s + 12 = 4. What is the remainder when v is divided by s + 0 + 4 + -2?
2
Let k(a) = 2*a - 12. What is the remainder when k(16) is divided by 11?
9
Let x(g) = 2 + g**2 + 3*g**2 - 5*g**2. Let n be x(0). Calculate the remainder when 9 is divided by n/7 + 165/35.
4
Let b(z) = -z + 48. What is the remainder when 45 is divided by b(24)?
21
Let m(d) be the first derivative of 2*d**3/3 - 9*d**2/2 + 9. Suppose 4*v - 54 = v. What is the remainder when m(7) is divided by v?
17
Suppose 0 = j - 4*j + 15. Suppose -2*y = -2*o - 3*o + 89, j*o - 77 = -4*y. Calculate the remainder when o is divided by 10.
7
Let l = 64 + -45. Calculate the remainder when 54 is divided by l.
16
Let v(g) = -3*g - g**3 + 0*g**3 + g**2 + 17*g + 2 - 10*g**2. Calculate the remainder when v(-11) is divided by 23.
21
Calculate the remainder when (23*3)/((-3)/(-2)) is divided by 8.
6
Let d(j) = -3 + 1 - 5*j - 1 + 2*j**2. Calculate the remainder when d(5) is divided by 2*9/6*4.
10
Suppose -4*r - 3*h = -77, 2*h = h + 3. What is the remainder when 83 is divided by r?
15
Let t(y) = y**2 + 6*y - 6. Let z = 17 + -4. What is the remainder when t(5) is divided by z?
10
Let y = -7 - -10. Suppose -660 = y*m - 8*m. Calculate the remainder when 4/14 + m/28 is divided by 2.
1
Suppose 4*d + 109 = 5*p, -5*p - 2*d + 102 = d. Calculate the remainder when 28 is divided by p.
7
Let p = -4 + 6. What is the remainder when 4 is divided by p?
0
Let i(l) = -3*l - 7. What is the remainder when i(-17) is divided by 23?
21
Suppose 6*s = 124 + 14. What is the remainder when 42 is divided by s?
19
Suppose -y - 3*y = 4*n - 60, 3*y = 3*n - 27. What is the remainder when 46 is divided by n?
10
Let y = 94 + -29. What is the remainder when y is divided by 33?
32
Let k(f) = f**3 + 8*f**2 - 10*f + 6. Calculate the remainder when 72 is divided by k(-9).
12
Let y(a) = -a + 4. Let j be y(2). Suppose 3*u + 5*r - 61 = 0, j*u + 2*r - 26 = 8. Calculate the remainder when (u/2)/(2/15) is divided by 12.
9
Suppose -2*t = -18 - 22. Let j = 49 - t. Suppose -4*a - 4*m = -148, -4*a - 2*m - j = -185. Calculate the remainder when a is divid