1. Calculate the remainder when 34 is divided by x(s).
7
Suppose 5*z - 9 - 11 = 0. Let t(d) = d**2 - 2*d - 1. Calculate the remainder when 19 is divided by t(z).
5
Suppose 3*x - 5*x + 12 = 0. Suppose 4*c = y - 32, 60 = 5*y + 4*c + c. Calculate the remainder when y is divided by x.
4
Let c(v) = 31*v - 1. Let x be 4 - ((-4)/2)/1. Let w be 2/3 + 2/x. What is the remainder when c(w) is divided by 16?
14
Let k(a) = 4*a - 1. What is the remainder when k(5) is divided by 7?
5
Suppose 67 + 69 = 2*d. Suppose 0 = -4*c, -4*p + 4*c = -8*p + d. What is the remainder when 49 is divided by p?
15
Calculate the remainder when 203 is divided by 3*-1*84/(-54)*15.
63
Suppose 0 = 3*d + s - 3*s - 103, -107 = -3*d - 2*s. Let c(v) = -6*v. Calculate the remainder when d is divided by c(-2).
11
Let b(u) = u**3 + 18*u**2 - 21*u - 23. Calculate the remainder when 57 is divided by b(-19).
12
Let w = 14 - 0. Suppose 10*p + 3 = 53. Calculate the remainder when w is divided by p.
4
Let w = 16 - 2. Let m(g) be the third derivative of g**5/12 - 2*g**3/3 + 3*g**2. Calculate the remainder when m(3) is divided by w.
13
Let b = -1 - -18. What is the remainder when 67 is divided by b?
16
Suppose -39 = 9*r - 237. Calculate the remainder when 40 is divided by r.
18
Suppose 6 = 2*t, v + 4*t - 16 = 1. Let g(h) = h**3 - 4*h**2 - 7*h + 2. Let i be g(v). What is the remainder when 45/20 + 2/i is divided by 2?
0
Suppose -12*g + 36 = -8*g. What is the remainder when 34 is divided by g?
7
Suppose 0 = 2*n + 3*u + 2*u - 77, 4*n = 2*u + 142. Let z = n + -21. Calculate the remainder when z is divided by 8.
7
Suppose 4*m - 2 = -u + 1, 0 = u - 2*m - 3. Suppose 0 = -y - 2*y + 5*l - 2, 0 = 5*y - 2*l - 3. Calculate the remainder when u is divided by y.
0
Suppose -4*g + 105 = -143. Calculate the remainder when g is divided by 21.
20
Let c(t) be the first derivative of 1/3*t**3 + 7/2*t**2 + 2*t - 2. What is the remainder when 18 is divided by c(-8)?
8
Let x = -34 + 60. Calculate the remainder when 49 is divided by x.
23
Let j(a) be the first derivative of -a**2/2 + 10*a - 4. What is the remainder when 13 is divided by j(7)?
1
Suppose -5*b = -p - 7, -3*p + 49 = 2*p + 3*b. What is the remainder when ((-3)/(-5))/((-7)/(-175)) is divided by p?
7
Let a be (-3)/6 - (-18)/(-4). Calculate the remainder when (-152)/(-10) + 1/a is divided by 8.
7
Suppose -6*z + 80 = -70. What is the remainder when z is divided by 7?
4
Let c be (-6)/(-21) + 640/14. Let l = c - 27. Let r = l - 5. What is the remainder when 41 is divided by r?
13
Let g(z) = -z + 20. What is the remainder when g(-15) is divided by 9?
8
Let p = -14 + 21. Suppose -o + 4*q = -19 - 10, -o + 25 = -3*q. What is the remainder when o is divided by p?
6
Let s(m) = -m**3 - m**2 - 4. Let n be s(0). Calculate the remainder when n/5*(-25)/2 is divided by 6.
4
Let i(b) = -3 + b - 2*b + 4*b. Suppose 0 = 2*x + 3*x - 55. What is the remainder when x is divided by i(3)?
5
Let b = -5 + 7. Suppose 2*x - 3*l - 43 = 0, -3*x - 2*x = b*l - 136. Let g = -5 + x. Calculate the remainder when g is divided by 12.
9
Suppose -32 = -2*x - 3*d + 32, 5*d = -4*x + 124. Calculate the remainder when x is divided by 93/6 + (3 - 1)/(-4).
11
Let v(y) = y**2 - 2*y - 2. Let p(g) = -g**2 - 7*g - 1. Let c be p(-6). Calculate the remainder when 50 is divided by v(c).
11
Suppose 12*c - 346 = 146. Suppose -4*b = -5*b + 15. What is the remainder when c is divided by b?
11
Suppose -2*u + 4*y + 48 = 2*u, 0 = 3*u + 5*y - 44. What is the remainder when u is divided by 4?
1
Let q = -15 + 38. Calculate the remainder when q is divided by 4*((-12)/(-4) + -1).
7
Let l be 390/33 + 2/11. Suppose -2*q = -6 - l. What is the remainder when q is divided by 5?
4
What is the remainder when 160 - (30/(-7) + (-6)/(-21)) is divided by 42?
38
Let v(b) = -109*b**2 + 3*b + 2. Let o be v(-1). What is the remainder when 5 is divided by 1/6 - o/60?
1
Let f = 4 - -7. What is the remainder when (48/18)/((-2)/(-15)) is divided by f?
9
Suppose -2*b - 2*o - 18 = -82, o + 142 = 5*b. Suppose 0 = 3*f + 1 - 49. What is the remainder when b is divided by f?
13
Suppose -4*i + j + 65 = 4*j, 4*i - 5*j = 41. Let f = 21 - i. What is the remainder when 20 is divided by f?
6
Let n = -6 - -11. Let q(s) = 3*s - 3. Calculate the remainder when q(5) is divided by n.
2
What is the remainder when 57 is divided by (-1 - (-3)/15)/((-3)/75)?
17
What is the remainder when -3 + 98 + 4/4 is divided by 14?
12
What is the remainder when 45 is divided by (5/5)/(5/115)?
22
Let o(s) = s**2 + 4*s - 7. Let l be o(-6). Suppose 0*n + 3*i + 91 = l*n, 0 = -n + 3*i + 11. Let g = 30 + 29. What is the remainder when g is divided by n?
19
Let w(b) = -b**3 + 7*b**2 - 6*b + 3. Suppose -4*x = -5*x + 2. Suppose 5 + 18 = 4*z - 3*t, 0 = -x*t + 6. Calculate the remainder when z is divided by w(6).
2
Suppose c + 3 = 0, -4*d + 3*c + 43 = 6*c. What is the remainder when 50 is divided by d?
11
Let i = 32 - 19. Calculate the remainder when 64 is divided by i.
12
Suppose 4*b - b = -5*m + 703, -932 = -4*b - 4*m. Suppose 0 = k + 1, 0*k + k = 5*g - b. Calculate the remainder when g is divided by 15 - (-5)/(20/(-12)).
10
Let w(o) = 3*o + 1. Let b be w(4). Let a = b - -16. Calculate the remainder when a is divided by 10.
9
Suppose -8*m = -12*m + 320. What is the remainder when m is divided by 27?
26
Suppose 0 = 3*x - 11*x + 88. Calculate the remainder when x is divided by 4.
3
Let s be (-3)/2*(-12)/9. Suppose -k - 3*d = -16, -k = k - s*d. Calculate the remainder when 10 is divided by k.
2
Let h = 77 - 56. What is the remainder when h is divided by 6?
3
Let p(d) = -7*d + 1. Let l = -12 - -26. What is the remainder when l is divided by p(-1)?
6
Calculate the remainder when -3*(-30)/27*(-2 + 5) is divided by 6.
4
What is the remainder when (1 - 408/(-20)) + 4/(-10) is divided by 4?
1
Let s = 3 + 6. Suppose 5*b - 104 = b. What is the remainder when b is divided by s?
8
Suppose 0 = -3*s - 3*c - 2*c + 221, -3*s = -4*c - 212. Suppose 0 = -g + s - 11. Calculate the remainder when g is divided by 16.
13
Let s(w) = 30*w + 2. What is the remainder when s(1) is divided by 11?
10
Let d be (-3)/(-2)*(-200)/6. Let y = 10 - d. Suppose -4*p + 85 = 5*t, 5*p = -t + 4*t + y. What is the remainder when p is divided by 8?
7
Suppose 4*t - 2*t = -5*o + 37, 2*o - 4*t = 10. Calculate the remainder when 12 is divided by o.
5
Let k = 5 - 3. Suppose 0 = 4*d - 12, k*z - 5*z + d = -24. Let q = -13 - -38. What is the remainder when q is divided by z?
7
Let v(h) be the third derivative of h**6/120 + h**5/15 - 7*h**4/24 - h**3/6 + 3*h**2. What is the remainder when 16 is divided by v(-5)?
7
Let f(d) = 5*d**3 + 5*d**2 + 7*d + 9. Let i(o) = -4*o**3 - 4*o**2 - 6*o - 8. Let n(t) = -5*f(t) - 6*i(t). Calculate the remainder when 69 is divided by n(-3).
15
Suppose 0 = 2*o - 10 - 28. Calculate the remainder when 74 is divided by o.
17
Suppose -4*b + 46 = -2*b. Suppose -n = -2*n + 89. What is the remainder when n is divided by b?
20
Suppose 5 = -2*t - 3*p + 8*p, 5*t + p - 55 = 0. Suppose 0 = 3*y - t - 35. Let v(x) = 10*x - 21. What is the remainder when v(8) is divided by y?
14
Suppose -2*m - 3*m + 80 = 0. What is the remainder when 118/4 + -3 + 14/4 is divided by m?
14
Suppose 2*a - 50 = -2*l, a - 36 = -2*l + 6*a. Suppose 3*d + 3*s - 36 = 0, 5*s - 2 = -2*d + 22. What is the remainder when l is divided by d?
11
Let z(n) = -n**2 - 29*n + 74. Let t = -9 - -54. Calculate the remainder when t is divided by z(-31).
9
Let t(c) = -14*c + 7. What is the remainder when t(-2) is divided by 4?
3
Suppose 261 = 4*p + l + 98, -4*l = -12. Let k = -7 + p. What is the remainder when k is divided by 17?
16
Suppose 5*s - 120 = 5*c, -c + 40 = s + 2*c. What is the remainder when 69 is divided by s?
13
Let s(h) = -h**3 - 22*h**2 - 21*h + 1. Let v(x) = -x**2 - 6*x - 5. What is the remainder when v(-4) is divided by s(-21)?
0
Let b(d) = 2*d**2 - 30*d - 20. What is the remainder when 33 is divided by b(16)?
9
Suppose -2*f = 2*t - 44, 2*f - 4*t = -t + 19. What is the remainder when 65 is divided by f?
14
Calculate the remainder when 44 - (-6 + 2 + 1) is divided by 8.
7
Let v(s) = -4*s**2 - 20*s + 2. Suppose 2*k + 4*p + 4 = 0, 5*k + 3*p - 35 = 8*p. Calculate the remainder when k is divided by v(-5).
0
Let l = -4 + 5. What is the remainder when 7 