6). Let x = -10 - z. What is the remainder when x is divided by (-10)/4*((-14)/(-10) - 3)?
3
Suppose 5*v - 3*g - 2*g = 10, 5*v - 4*g = 8. Suppose v = -4*a + 5*a - 5. What is the remainder when a is divided by (-112)/(-60) - (-2)/15?
1
Suppose -4*d - 1 + 2 = -3*v, -4*d + 36 = 4*v. What is the remainder when v is divided by (4/(-2))/((-4)/2) + 3?
1
Suppose -2*q - q = 0. Suppose 4*w + q*w = 12. What is the remainder when 3 is divided by (15/9 - 1)*w?
1
Let d = 45 + -26. What is the remainder when 35 is divided by d?
16
Suppose 3*f = 113 + 16. Suppose 0 = -5*m - 16 - 69. Let w = m - -32. What is the remainder when f is divided by w?
13
Let y = 104 + -33. What is the remainder when y is divided by 19?
14
Suppose 8*g + 6 = 5*g, 2*h - 4*g - 52 = 0. What is the remainder when 109 is divided by h?
21
Suppose -2 = -4*a + 6. Calculate the remainder when 1/(a + 33/(-17)) is divided by 6.
5
What is the remainder when 1*(18 - (-8)/(-2)) is divided by 3?
2
Let b = -121 - -137. Calculate the remainder when 30 is divided by b.
14
Let j be 8/(-4) - 3*-17. Let g = 79 - j. Calculate the remainder when g is divided by 16.
14
Let o(j) = j - 21. What is the remainder when 4/(3/54*3) is divided by o(30)?
6
Let a be (-5)/((-15)/(-6)) - -4. Suppose a*g - 3*l = 2*l + 14, -10 = -g + 4*l. Suppose -f + 9 + g = 0. What is the remainder when f is divided by 6?
5
Let c(v) = v**2 - 16*v + 17. Let r be c(15). Suppose 0 = 2*i - 4*n - 16, r*i = 4*n - n + 18. Calculate the remainder when 33 - (0 + -1 + 0) is divided by i.
10
Let y = 141 + -72. Suppose 3*k - y = 81. Calculate the remainder when k is divided by 17.
16
Let p(m) = -m**3 - 7*m**2 - 8*m + 1. Let o = -2 - 4. What is the remainder when p(o) is divided by 7?
6
Let g(y) = y**3 + 4*y**2 + y - 2. Let f = 2 - 0. What is the remainder when -2 + (f - -1) + 5 is divided by g(-2)?
2
Suppose u - 5*p = 10, -4*p + p = -3*u + 6. What is the remainder when -1*(3 + u + -15) is divided by 7?
5
Let m = 34 + -8. Calculate the remainder when 72 is divided by m.
20
Let g(u) = 4*u**2 - 6 - 9*u**2 + 4*u**2 + 10*u. What is the remainder when 28 is divided by g(7)?
13
Let t = 6 - 4. Suppose 43 = t*j + p, 7*j = 3*j + 4*p + 68. Suppose -j = -2*v + 2. Calculate the remainder when v is divided by 6.
5
Suppose 2 = -2*w + 24. What is the remainder when 83 is divided by w?
6
Let f = 26 + -7. Let y be (0/(1/(-1)))/(-2). What is the remainder when f is divided by 6 - (1 + -2 + y)?
5
Let g = 111 + -100. Suppose -3*i + q + 6 + 15 = 0, 3*i + 5*q = 21. Calculate the remainder when g is divided by i.
4
Let k(c) = -2*c + 54. Calculate the remainder when k(-25) is divided by 27.
23
Suppose 2*v + 3*q - 37 = 0, 2*v + 36 = 4*v + 2*q. Let x = 106 - 97. What is the remainder when v is divided by x?
8
Suppose 0 = -p - 4*w + 24, -3*w = -3 - 3. Suppose 0 = 2*f - 0*f - 90. What is the remainder when f is divided by p?
13
Let k(q) = -q**3 + 10*q**2 - 2*q - 13. Suppose -3*r + 7 = 4, -4*p = -4*r - 20. What is the remainder when k(p) is divided by 30?
29
Let m = 52 + -33. What is the remainder when m is divided by 12?
7
Let z(g) = g**3 - 4*g**2 + 8*g - 3. Suppose -4*b + 10 = -2*b. What is the remainder when z(b) is divided by 21?
20
Suppose 5*m - 13 - 17 = 0. Let b be (m/4)/((-1)/(-2)). Suppose -2*w + b*o - 10 = -o, o = 5*w - 20. Calculate the remainder when 14 is divided by w.
4
Let g = -35 + 42. Calculate the remainder when g is divided by 6.
1
Let x = 74 - 55. Calculate the remainder when 50 is divided by x.
12
Let l(p) = -p**2 - 2*p - 4*p + p**3 + 5*p + 31. Calculate the remainder when l(0) is divided by 16.
15
Suppose 4 = j - 11. Calculate the remainder when 57 is divided by j.
12
Let h(s) = 2*s**2 + 15*s + 36. What is the remainder when h(-7) is divided by 18?
11
Let u be 2 - 1 - (1 - 1). Let p be (-48)/4*(-4)/6. What is the remainder when 34 is divided by u/6*p*9?
10
Let i = 43 + -14. Calculate the remainder when 114 is divided by i.
27
Let c = 383 + -231. Suppose -4*z + c = 4*l, -z + 2*l + 29 = -6. Let w(v) = -4*v + 1. Calculate the remainder when z is divided by w(-3).
11
Suppose -m + 126 - 122 = 0. Let c(r) = 2*r**2 + 1 - 5*r + 4*r**2 - r**3 + 2. What is the remainder when 58 is divided by c(m)?
13
What is the remainder when 8/((-12)/(-3)) - -58 is divided by 16?
12
Calculate the remainder when 51 is divided by 528/40 - (-3)/(-15).
12
Suppose -157 + 42 = -5*a. Calculate the remainder when 67 is divided by a.
21
Let c be (0 - (-1 - 0)) + 2. Suppose -r = -3*v + 359, 3*v + c*r = r + 371. Let o = -82 + v. What is the remainder when o is divided by 14?
11
Let i(f) = f**2 - 4*f - 1. Let g(l) = -l + 17. Calculate the remainder when i(5) is divided by g(14).
1
Let t = -20 - -44. Calculate the remainder when 95 is divided by t.
23
Let u be (3 - (3 - 5)) + -1. Suppose v = -u*v + 125. What is the remainder when v is divided by 9?
7
Suppose -a + 3*b = -30, -3*a - 2*a = 5*b - 70. Let w be 15*4 - 4/(-2). Let r = -27 + w. What is the remainder when r is divided by a?
17
Calculate the remainder when (-33)/(-3) - (2 - 4) is divided by 4.
1
Let m(x) = -38*x. What is the remainder when m(-1) is divided by 21?
17
Suppose -4*p + 325 = 3*h, 4*p - 350 = 5*h - 3*h. Calculate the remainder when p is divided by 22.
19
Let v(n) = 35*n + 6. What is the remainder when v(2) is divided by 27?
22
Suppose 0 = h - 2 + 3. Suppose 4*l + g - 7 = 2*l, -5*g = -2*l + 13. Calculate the remainder when 0/(-4) + (h - -8) is divided by l.
3
Let n(q) = -3*q - 1. Let a be n(1). Calculate the remainder when (15/(-6))/(2/a) is divided by 2.
1
Let w(n) = 23*n**2. Calculate the remainder when w(-1) is divided by 2/14 - (-249)/21.
11
Suppose -v = 3*x + 3*v - 61, -20 = 4*v. What is the remainder when 211 is divided by x?
22
Let i(x) = -x**3 + 7*x**2 + 3*x - 1. Calculate the remainder when 39 is divided by i(7).
19
Suppose 8*p = 3*p. Suppose -34 = -2*j - 3*d, p*d = j - 4*d - 6. Calculate the remainder when 53 is divided by j.
11
Let i = 6 + -4. What is the remainder when i is divided by 1?
0
Suppose -25 = -p + 2*f, -3*f + 5 - 34 = -p. Calculate the remainder when 66 is divided by p.
15
Suppose 0 = -4*r + 2*v + 26 + 88, 5*v + 15 = r. Suppose 0*p = 3*p - 171. Calculate the remainder when p is divided by r.
27
Let m = -34 - -108. What is the remainder when m is divided by 19?
17
Let f be 7 - 2 - 2 - 1. Let s be (2 - f/2)*2. Let c(u) = 5*u + 1. What is the remainder when 19 is divided by c(s)?
8
Let w be (5 + -1)/(8/(-188)). What is the remainder when (4/4)/((-2)/w) is divided by 16?
15
Let p(j) = -j**3 + 9*j**2 + j + 1. Let d(g) = g - 3. Let k be d(-5). Let w = 10 - k. What is the remainder when w is divided by p(9)?
8
Let p = 15 - 10. Let i(j) = 5*j + 48. What is the remainder when i(-7) is divided by p?
3
Let j be 3/((-6)/8) - -2. Calculate the remainder when 12 is divided by 8 - (j + 3)/1.
5
Suppose -2*p - 45 = 5*g, -3*p + g - 51 = -p. Let l be ((-16)/10)/((-2)/50). Let v = l + p. What is the remainder when v is divided by 8?
7
Let u(t) = 5*t**2 + 6*t + 3. Calculate the remainder when 109 is divided by u(-2).
10
Let h = 18 + -13. What is the remainder when 18 is divided by h?
3
Suppose 5*l + 5*a = 125, -l + 4*a - 71 = -4*l. What is the remainder when l is divided by 8?
5
Suppose 0*g - 3*g = -81. Calculate the remainder when g is divided by (-30)/4*(0 + (-8)/6).
7
Let q = -3 + 6. Let o be (0/q - 2) + 4. Suppose 16 = o*v - 0*v. What is the remainder when v is divided by 3?
2
Let g(p) = -p**3 + 5*p**2 + 3*p + 1. Let n be g(6). Let l = n + 25. Calculate the remainder when l is divided by 5.
3
Suppose 0 = 4*t - 3*t. Suppose t = 3*v - 12. Suppose -k + v + 6 = 0. What is the remainder when 28 is divided by k?
8
What is the remainder when (2 - 4)/((-1)/70) is divided by 36?
32
Suppose -2*i - 10 = 0, -4*r + 4*i = 14 + 2. Let n = 15 + r. What is the remainder when n is divided by 4?
2
Suppose -2*h = -12 - 86. Suppose 5*x - h = 2*p, 5*x - p + 5*p - 37 = 0. What is the remainder when x is divided by 5?
4
Suppose 4*q - 3*n = -4, -q - n = 4*n + 1. Let l = -8 + 11. What is the remainder when 50*l/6 + q is divided by 13?
11
Suppose 3*u = 4*u - 13. What is the remainder when 25 is divided by u?
12
Let a(q) be the third derivative of q**5/60 - q**4/4 + 11*q**3/6 - 2*q**2. What is the remainder when a(10) is divided by 18?
15
Let 