he remainder when z(13) is divided by 11.
9
Suppose d = 2*l - 21, 0 = -3*l - l + 4*d + 32. Calculate the remainder when (2/4)/((-33)/(-2508)) is divided by l.
12
Suppose 13 = 2*h - 21. What is the remainder when 66 is divided by h?
15
Suppose -2*p - 24 = p. Let h(d) be the third derivative of -d**4/24 - d**3/2 + d**2. Calculate the remainder when 8 is divided by h(p).
3
Suppose 5*j - 16 = 64. Calculate the remainder when j is divided by 12 - (-6)/9*-3.
6
Suppose 0 = g - 6*g. Suppose -3*b = -6 - g. Suppose b*p - 39 = -p. What is the remainder when 37 is divided by p?
11
Let z(r) = -r**3 - 6*r**2 - 7*r. Calculate the remainder when z(-5) is divided by (6/(-12))/(((-3)/(-18))/(-1)).
1
Let l(d) = 3*d - 3. Let g be l(2). Suppose -g*h = -24 - 0. What is the remainder when h is divided by 5?
3
Let s(z) = 7*z - 24. Calculate the remainder when s(19) is divided by 28.
25
Let q(h) = -h**3 + h**2 - h + 7. Suppose -2*x - x = 0. Calculate the remainder when 19 is divided by q(x).
5
Let t(x) be the second derivative of x**4/12 - 3*x**3/2 - 7*x**2/2 + 3*x. Let y be t(10). What is the remainder when 21 is divided by (-12 + 1)*(2 - y)?
10
Suppose w - 12 = -6. What is the remainder when 16 is divided by w?
4
Let a be (3/(-2))/((-3)/(-28)). What is the remainder when 33 is divided by (6/7)/((-1)/a)?
9
Let w = 7 - -10. Suppose 6 - 2 = -2*q. What is the remainder when w is divided by -2 - (-7 - (-2 - q))?
2
Let t be (2/(-4))/(1/(-4)). Let l = 0 + t. Suppose 3*s - 28 = l*y + 5, 4*s + 4*y - 24 = 0. What is the remainder when 26 is divided by s?
8
Let q be ((-4)/(-2))/(2/(-18)). Calculate the remainder when (-4)/6 + (-1308)/q is divided by 15.
12
Let l(d) = -d**3 + 4*d**2 + 8*d - 2. Calculate the remainder when 37 is divided by l(5).
11
Let s(b) = 0*b - 5*b + b**3 + 7 + 0*b**3 - 4*b**2. Let k(q) = q + 5. Let t be k(0). Calculate the remainder when s(t) is divided by 4.
3
Let b = 8 + -5. Calculate the remainder when (b/(-12))/((-2)/328) is divided by 21.
20
Suppose -2*j - 3*z + 2*z = -13, -j = 4*z - 10. Calculate the remainder when 19 is divided by -3 + j - 16/(-2).
8
Suppose 0 = -6*j + j + 15. Let o(l) = l + 2. What is the remainder when 14 is divided by o(j)?
4
Suppose 22 = 4*d - 2. Suppose -u + 5 = -d. What is the remainder when (-61)/(-3) + (-1)/3 is divided by u?
9
Suppose 0*b - 3*b - 9 = -3*d, -12 = -4*d - 4*b. What is the remainder when d is divided by 1?
0
Suppose -8*t = -153 + 17. Calculate the remainder when 67 is divided by t.
16
Suppose -16*s + 17*s - 44 = 0. Let h = s + -28. What is the remainder when h is divided by 9?
7
Suppose 20*z - 21*z + 6 = 0. What is the remainder when 57 is divided by z?
3
Suppose -3*l - 27 = -u, -5*l - 9 = 6. Let k(i) = i**2 + 23*i - 26. Calculate the remainder when k(-26) is divided by u.
16
Let a(v) = v. Let t(k) = -8*k. Let o(i) = a(i) - t(i). Suppose -c = 2*c - 30. Calculate the remainder when o(2) is divided by c.
8
Suppose -7 - 23 = 5*l. Let n = l - -9. What is the remainder when n is divided by 2?
1
Let f = 43 - 20. Calculate the remainder when 65 is divided by f.
19
Let l = -4 - -14. Calculate the remainder when 28 is divided by l.
8
Let o be (-20 - 1)*(-6)/7. Let i be o/14 - 4/14. Suppose -k - i = -41. Calculate the remainder when k is divided by 21.
19
What is the remainder when 15 is divided by 8 + -3 + 3 - 0?
7
Suppose -4*y = -3*p - 12, -y + 0*y = -4*p + 10. Suppose 0 = y*k - k - o - 29, k - 2*o = 4. What is the remainder when 3 - 4 - (-1 - 11) is divided by k?
5
Let m(s) be the first derivative of s**4/2 - 2*s**3/3 + 2*s + 3. Let u = -1 + 14. What is the remainder when m(3) is divided by u?
12
Suppose 2*g = 3*x + 1, 4*g - 4*x = -0*x + 4. Calculate the remainder when 2 is divided by g.
0
Let l(t) = 41*t. Suppose 19 = -5*n + 59. Let m(b) = -b**3 + 8*b**2 + 2*b - 2. What is the remainder when l(1) is divided by m(n)?
13
Let h(r) = -14*r**3 - r. Let n be h(-1). Let w = n + -9. Suppose -p = 3*p - 44. Calculate the remainder when p is divided by w.
5
Suppose 36 = 3*t - 3*q, 0 = 2*t - 3*t - 2*q + 3. Suppose 4*m = -l + 60, -66 = -3*m - l - 22. What is the remainder when m is divided by t?
7
Let y be 3 + 1 + -2 + -4. Calculate the remainder when 13 is divided by -1*((y - 7) + 2).
6
Suppose k = 2*i + 5, 6*k - 3*k - 19 = 2*i. Suppose 0 = 7*q - 10 - 4. What is the remainder when k is divided by q?
1
Suppose -3*d + 9 = -42. What is the remainder when 67 is divided by d?
16
Let r = 47 + -25. Let s(o) = -o**3 + 5*o**2 - 5*o + 10. Calculate the remainder when r is divided by s(4).
4
Let u(h) = -h**2 + 5*h + 7. Suppose 0*r = -8*r + 8. What is the remainder when u(6) is divided by r?
0
Let f = 20 - 6. Calculate the remainder when 25 is divided by f.
11
Let t = 4 - 0. Calculate the remainder when 10 is divided by t.
2
Let v(k) = 15*k**3 + 2*k**2 + k - 1. Let j(w) = 3*w**3 - 3*w**2 - 4. Calculate the remainder when j(3) is divided by v(1).
16
Let t = 106 - 69. Suppose -5*w + 45 = -2*w - 2*a, -2*w + a + 29 = 0. Calculate the remainder when t is divided by w.
11
Suppose -4*m - 12 = -10*m. Calculate the remainder when 5 is divided by m.
1
Suppose 0 = 6*l - l - 10. Suppose q = 3*p - p - 15, -l*p + 3*q = -13. Let h(o) = -o**3 + 5*o**2 - 2*o + 6. What is the remainder when h(4) is divided by p?
6
Suppose 0 = -2*q + 10, 2*q + 4 = -v + 16. Suppose 6 = -3*d - 2*t, -3*d - 4*t = -d + 4. Let g = d + 7. What is the remainder when g is divided by v?
1
Let k be 2/(-4) - 23/(-2). Suppose -4*w + 27 - k = 0. Suppose -g = -3*x + 91, x - 147 = -4*x + w*g. What is the remainder when x is divided by 17?
14
Suppose -4*n + 2*l + 362 = 130, -n + 61 = -2*l. Calculate the remainder when (n - 2/1)*1 is divided by 28.
27
Suppose 2*b + 104 = 126. Calculate the remainder when 184 is divided by b.
8
Suppose -2*c + 3*i + 20 = 0, -3*c + 0*c + 3*i = -27. Calculate the remainder when (14/35)/(1/45) is divided by c.
4
Let r = 27 - 11. Let b = 34 - 4. Calculate the remainder when b is divided by r.
14
Let v(u) = u**2 + 2*u - 3. Let i be v(-4). Let s = i + -3. Let z(h) = -h + 15. What is the remainder when z(13) is divided by s?
0
Let c = -10 + 10. Suppose -w + 41 = -c*w + 5*s, 0 = 5*s + 20. What is the remainder when w is divided by 16?
13
Suppose 0 = 2*a - 4*a + 30. Suppose -3*b + 0 = 5*t - 2, 3*b = 5*t + 22. What is the remainder when b is divided by 39/a - (-8)/20?
1
Suppose 7*q - 21 - 140 = 0. Calculate the remainder when 182 is divided by q.
21
Let w = 2 - -3. Suppose -2*f + 22 = -f + w*k, 0 = -5*f - 5*k + 110. Suppose -2*s + 8 = -2*p - f, 5*s - 3*p = 79. Calculate the remainder when s is divided by 6.
5
Let n(r) = -11*r + 1. Let i = 0 - 1. What is the remainder when 33 is divided by n(i)?
9
Suppose -g - 3*y + 2 + 6 = 0, 2*y + 2 = 0. What is the remainder when 43 is divided by g?
10
Calculate the remainder when -1 - (2/6)/(3/(-171)) is divided by 7.
4
Suppose -4*n + 4*j + 148 = 0, 0*n - 4*j = -2*n + 84. Calculate the remainder when 93 is divided by n.
29
Suppose 4*x = 3*z - 16, 16 = 4*z - x - 14. Calculate the remainder when 23 is divided by z.
7
Let t = -1 - 3. Let l(y) = -15*y + 1. What is the remainder when l(t) is divided by 21?
19
Let y(x) = 3*x - 8. Suppose -8*r = -3*r - 30. What is the remainder when 28 is divided by y(r)?
8
Let k be 4/6 - 15/9. Let b = k + 12. Let d(w) = -30*w + 1. What is the remainder when d(-1) is divided by b?
9
Suppose -2*d + 3*m - 26 = m, -3*d - 33 = 3*m. Calculate the remainder when 4/d + (-25)/(-3) is divided by 5.
3
Suppose -25*v = -10*v - 1785. Calculate the remainder when v is divided by 20.
19
Suppose 250 = 4*m + 58. Suppose 47 + 78 = 5*r. What is the remainder when m is divided by r?
23
Let r(q) = 3*q**2 - 1. Calculate the remainder when 207 is divided by r(-3).
25
Suppose -50*x = -53*x + 90. What is the remainder when x is divided by 3?
0
Suppose -k + 30 = 2*j + k, 5*k = 0. What is the remainder when 38 is divided by j?
8
Let w be (-6)/(-4)*(-28)/(-6). Let m(a) = -3*a - w + a**2 - 6*a - 2*a**2. Calculate the remainder when m(-7) is divided by 4.
3
Let v be 2/(-8) - 2/(-8). Suppose v = -5*k + 41 + 64. Calculate the remainder when 61 is divided by k.
19
Let q(t) = t**2 - 5*t - 1. What is the remainder when 14 is divided by q(6)?
4
Let u be (-2)/(-7) + (-2)/7. Suppose u = b - 4, 0*b + 18 = m + 2*b. Suppose -5*h - 75 - 50 = -5*v