j(3). What is the remainder when z*(2 - 3)*7 is divided by 11?
10
Suppose -4*v - 46 + 13 = -p, 0 = p + 4*v - 17. Calculate the remainder when 123 is divided by p.
23
Let i be 2/5 + 2/(-5). What is the remainder when 57 is divided by i/1 - (-16 - -1)?
12
Let n(v) be the third derivative of v**4/12 - v**3/3 + 3*v**2. Let w be n(-6). Let z = 37 + w. Calculate the remainder when z is divided by 12.
11
Let k = 19 + -12. What is the remainder when 34 is divided by k?
6
Let f(u) = -u**2 - 11*u - 9. Let a be f(-7). Suppose b + 5 = a. Calculate the remainder when 3/(-3*(-1)/27) is divided by b.
13
Let a(y) = -y**3 - 11*y**2 - 12*y. Let q be a(-10). Suppose -5*w + 5 + q = 0. Calculate the remainder when 9 is divided by w.
4
Suppose 4*w + 125 = -2*t + 391, -5*t + 182 = 3*w. Calculate the remainder when w is divided by 12.
9
Let a(m) = m. Let t = -6 - -8. Let h be a(t). Let y = h + 11. What is the remainder when 49 is divided by y?
10
Let n(v) be the third derivative of v**6/120 + 3*v**5/20 + 5*v**3/6 - 3*v**2. What is the remainder when n(-9) is divided by 2?
1
Suppose 0 = 5*s - 35 + 25. Let h = 9 - 7. What is the remainder when h is divided by s?
0
Suppose 3*y - 29 = -5*o, -4*y - 2*o + 32 = 3*o. Suppose 2*k + 3*i - 14 = 0, 0*k + y = -k + i. What is the remainder when k is divided by 1?
0
Let o = -9 - -22. What is the remainder when 77 is divided by o?
12
Suppose -47 - 213 = 4*g. Let k = -46 - g. Let o = -11 + k. Calculate the remainder when 14 is divided by o.
6
Let w(z) = -z**3 - 16*z**2 - 9*z - 38. Calculate the remainder when w(-16) is divided by 27.
25
Suppose 0 = 4*v - 3*v - 4. Suppose -v*b = -2*o - 6, 2*o - 4 = -0*o + 2*b. Calculate the remainder when 11 is divided by o.
4
Let h(y) = y**3 + 14*y**2 + 23*y + 9. What is the remainder when h(-12) is divided by 8?
5
Let c = -6 + 4. Let y = c + 7. Calculate the remainder when 7 is divided by y.
2
Suppose 0 = 2*j + 2*w - 0 - 24, j + 12 = 5*w. Suppose 0 = 4*p - 6 + 2. Let z(d) = 21*d**2 + 2*d - 1. Calculate the remainder when z(p) is divided by j.
6
Let v = 113 + -56. Calculate the remainder when v is divided by 12.
9
Suppose -2*x - 16 = -7*x + 3*v, 5*x = -5*v. Let f = 7 - 10. Calculate the remainder when 20 is divided by x*(-7)/6*f.
6
Let x = 73 + -36. Let p = x - 23. What is the remainder when 54 is divided by p?
12
Let y(b) = b**3 + 10*b**2 + 10*b + 2. Let g(x) = -x**3 + 10*x**2 + 2*x - 7. Calculate the remainder when y(-8) is divided by g(10).
11
Let a be 22/8 - (-7)/28. Let c = a - 1. What is the remainder when 5 is divided by (4/3)/(c/3)?
1
Suppose -5*u - 3*z + 7*z + 55 = 0, 2*z = -5*u + 55. Suppose 8 = 4*q - 8. What is the remainder when u is divided by q?
3
Let l = -37 + 69. What is the remainder when 61 is divided by l?
29
Let v(r) = -4 - 3 + 0*r - 2*r. Let s be v(-5). Suppose 11 = z + s. What is the remainder when 22 is divided by z?
6
Suppose -9*t + 8 = -5*t. Calculate the remainder when 21 is divided by t.
1
Suppose -2 = -d + 22. What is the remainder when d is divided by 9?
6
Suppose -2*t = 45 - 113. Calculate the remainder when t is divided by 4.
2
Suppose 95 = 3*l - 10. Let j(x) = -x**2 + 6*x + 5. Let u be j(6). Suppose 0*g = u*g - 60. Calculate the remainder when l is divided by g.
11
Let v = 8 + -5. Let u = v - 2. What is the remainder when ((-1)/(-2))/(4/16) is divided by u?
0
Let t(p) = -p + 1. Let z be t(-3). Let g(f) = -21*f - 1. Calculate the remainder when g(-1) is divided by (z/(-2))/((-2)/11).
9
Suppose 4*v + 2 + 4 = -2*f, -5*v = 15. Suppose -f*u + 4 - 1 = 0. What is the remainder when u is divided by 4/(-14) - 18/(-14)?
0
Suppose 0*k - 168 = -3*k. Suppose k = 6*b - 4*b. Let i = -15 + b. Calculate the remainder when i is divided by 7.
6
Suppose 0 = 3*x - 25 - 23. Let i = x - 9. Suppose -3*d + 14 = 2. Calculate the remainder when i is divided by d.
3
Let z = -1 - -5. Let a be (0 + -1)*-2*1. Let y(o) = o**3 - 2*o**2 + 2. Calculate the remainder when z is divided by y(a).
0
Calculate the remainder when 654/27 - 2/9 is divided by 13.
11
Suppose -2*r - 3*r = -25. Suppose r*n - 47 = -b - b, -3*n - 3*b + 30 = 0. Let w = 4 + n. What is the remainder when 25 is divided by w?
12
Let c = 2 + -20. Calculate the remainder when 17 is divided by (-114)/c - (-2)/(-6).
5
Suppose -7*h + 139 = -253. Calculate the remainder when h is divided by 19.
18
Let h = 265 + -75. Let n(g) = g**3 + 6*g**2 - 7*g + 4. Let b be n(-7). Suppose -d - b*d = -h. Calculate the remainder when d is divided by 13.
12
Suppose 0*k + 2*k - 218 = h, 2*k - 5*h - 226 = 0. Calculate the remainder when k is divided by 28.
24
Let h = 6 + -1. Suppose 5*l - 4*l - h = 0. What is the remainder when l is divided by 2 + 0/(0 + -3)?
1
Suppose -3*l - b = 2*b + 96, -44 = l - 5*b. Let g = -11 - l. Suppose 3*u + 3*f = 9, -2*u + 16 = -3*f - 15. What is the remainder when g is divided by u?
7
Calculate the remainder when 19 is divided by (-21)/(-3) - (3 - 3).
5
Let s = -39 + 80. Suppose -5*o - 3*k + s = -24, -k - 21 = -o. What is the remainder when 47 is divided by o?
15
Let t = 93 + -89. What is the remainder when 7 is divided by t?
3
Suppose -m - k + 23 = 0, -2*k - 11 = -3. What is the remainder when 52 is divided by m?
25
Let q be -4 - 6/(-9)*21. Calculate the remainder when q/(-60) + (-19)/(-6) is divided by 1 - -1 - (2 + -2).
1
Let z(o) = -o**2 + 7*o - 3. What is the remainder when 17 is divided by z(6)?
2
Suppose 5*p = 7*p - 154. What is the remainder when p is divided by 13?
12
Suppose -11 = 2*u + 1. Let a(g) = -2*g - 2. Let f = -71 - -99. Calculate the remainder when f is divided by a(u).
8
Let v(n) = n**2 + 7*n - 5. Let m be v(-9). Suppose -4*q = 3*j - m, 3 + 2 = 2*j - q. Calculate the remainder when j is divided by 3.
0
Suppose 0 = 4*c - 2*x - 9 - 5, 4*c + 2*x = 10. Suppose c*m + 0 = -12, 2*m - 15 = -i. Let p = -8 + 53. What is the remainder when p is divided by i?
22
Suppose -4*v + 90 = -v. Let r = -17 + v. Calculate the remainder when 49 is divided by r.
10
Let k = 2 - 0. Suppose 11 + 1 = 4*c. Calculate the remainder when k is divided by (1/4)/(c/12).
0
Let f = -111 + 115. Calculate the remainder when 9 is divided by f.
1
Suppose -2 = h - 6. Calculate the remainder when 18 is divided by h.
2
Suppose 27 = -v - 3*w + 99, -v = w - 76. Suppose 7*b - 5*b = v. What is the remainder when b is divided by 21?
18
Suppose 20 + 8 = x. What is the remainder when x is divided by 2?
0
Suppose 0 = 3*s - 4*s + 23. Calculate the remainder when s is divided by 4.
3
Let c = 294 + -107. What is the remainder when c is divided by 47?
46
Let z(o) = 10*o**2 + 2*o + 1. Let t(a) = a**3 + 2*a**2 + a - 2. Let x be t(-2). Calculate the remainder when z(-2) is divided by (13/x)/(1/(-4)).
11
Let x(b) = 5*b**2 + 3*b + 2. Let p(h) = -3*h + 3. Let o be p(2). What is the remainder when x(o) is divided by 13?
12
Let h = 0 - -37. Calculate the remainder when 182 is divided by h.
34
Let j = -1 + 5. Let s(d) be the second derivative of d**4/12 - 5*d**3/3 + 7*d**2/2 + 3*d. Calculate the remainder when s(10) is divided by j.
3
Suppose 83 = 5*a + 28. What is the remainder when a is divided by 5?
1
Let v be (-4)/6 + 42/9. Let u(m) = -m**2 - 2*m - 5. Let c(d) = -d**2. Let f(i) = -2*c(i) + u(i). Calculate the remainder when 4 is divided by f(v).
1
Suppose c - 2 = 20. What is the remainder when 84 is divided by c?
18
Suppose 3*q = 2 + 49. Suppose 5*d - 80 - 85 = 0. Calculate the remainder when d is divided by q.
16
Suppose -5*v = -5*c - 90, 0*v + 55 = 5*v + 2*c. Calculate the remainder when v is divided by 4.
1
Let u be (-4)/(-2 + (-24)/(-10)). Let d = -24 - u. Let a = d - -21. Calculate the remainder when 19 is divided by a.
5
Suppose 0*s = -4*s + 84. Suppose 0 = -5*d + 49 + s. Let j = 75 - 35. Calculate the remainder when j is divided by d.
12
Suppose 0 = 3*c - 62 + 2. Let f = -98 - -157. What is the remainder when f is divided by c?
19
What is the remainder when 43 is divided by 2/6 - 390/(-18)?
21
Suppose j - 3*j = -2*w - 136, -3*j - 3*w = -180. Calculate the remainder when 127 is divided by j.
63
Suppose 3*k - 37 = -4*v, -k - 3*v + v = -13. Suppose -3*o = -o + j - 36, o = 3*j + k. Calculate the remainder when 48 is divided by o.
14
Let j(f) = 2*f - 1. What is the remainder when 75 is divided by j(7)?
10
Suppose 0 = 5*o - 458 - 32. Suppose t + p - o = -3*t, 0 = -3*t +