 is the remainder when 12 is divided by n(5)?
0
Let o be 3/(-9) - 46/(-3). Let p be 130/(-12) - 2/12. Let n = o + p. Calculate the remainder when n is divided by 3.
1
Suppose -5*w = 5*s + 44 - 14, -4*w + 18 = -2*s. Let i = s + 21. Calculate the remainder when i is divided by 5.
4
Suppose 0*j + 32 = 3*o + 2*j, -4 = -o + j. Let t = o + -2. Let n(l) = 9*l - 2. Calculate the remainder when n(2) is divided by t.
4
Let b(m) = -m**2 + 2*m + 1. Let i be b(2). Let f be -1*i - (5 + -8). Let a(y) = y**2 - 2*y + 2. Calculate the remainder when 5 is divided by a(f).
1
Let m = -15 + 25. Calculate the remainder when 58 is divided by m.
8
Calculate the remainder when 199 is divided by -10*(6/4 - (-78)/(-12)).
49
Let c be 6/(-8)*(-32)/12. Suppose w - 19 = -2*g, -c*w - g = 2*g - 35. Let n = -2 + 27. What is the remainder when n is divided by w?
12
Let w(l) = l**3 + 9*l**2 + 13*l - 5. Calculate the remainder when w(-6) is divided by 9.
7
Let o = 20 + -28. Let k(r) = -r - 6. Calculate the remainder when 94/18 - 4/18 is divided by k(o).
1
Let r = 15 + 55. What is the remainder when r is divided by 9?
7
Let m = -4 - -4. Suppose 5*r + m*r = 125. Suppose -2 = -f - 3*s + 2, -2*s = 2*f - 20. Calculate the remainder when r is divided by f.
12
Let z(p) = p**2 + p + 3. Suppose 6 - 54 = -3*j. Calculate the remainder when j is divided by z(-3).
7
Suppose 0*o + 9*o = 306. Calculate the remainder when o is divided by 12.
10
Calculate the remainder when ((-65)/25)/((-2)/10) is divided by (-16)/(-3) + 2/3.
1
Let o = -14 - 9. Let l = o - -40. What is the remainder when 32 is divided by l?
15
Let u(b) be the first derivative of -3*b**4/4 - 2*b**3/3 + b**2/2 - 2*b + 1. Calculate the remainder when 45 is divided by u(-2).
9
What is the remainder when (-3)/(-6)*(241 - -1) is divided by 41?
39
Let y(h) = -43*h**3 - 2*h - 1. What is the remainder when y(-1) is divided by 15?
14
Let w(f) = -13*f - 25. What is the remainder when 106 is divided by w(-4)?
25
Let g(m) = -8*m + 52. Calculate the remainder when g(6) is divided by 4.
0
Calculate the remainder when (-1)/(-2)*-1*-56 is divided by 30/(-6) + 5 + 15.
13
Let k(j) = -j**2 + 13*j - 16. Calculate the remainder when 21 is divided by k(11).
3
Suppose 0*x + 3*x - 24 = 0. Let a = 178 + -173. Calculate the remainder when x is divided by a.
3
Let n = 8 + 32. Suppose 5*p - n = -g, -g = -6*g. Let t = 33 + p. What is the remainder when t is divided by 14?
13
Let a = 370 + -364. Suppose -2*d - 3*d = -20. Suppose 6*z - 3*z = -4*r + 29, -d*r + 17 = -z. Calculate the remainder when a is divided by z.
0
Suppose 11 = 3*v - 7. What is the remainder when 11 is divided by (-6)/((-3)/v*3)?
3
Let j = 11 - 7. Suppose -2*t + 2 = -j. Suppose 2*u + 0*c - 95 = t*c, -5*u + 230 = -5*c. What is the remainder when u is divided by 22?
21
Let i = -3 - -8. Suppose 178 = 5*v + 4*x, -196 = -0*v - i*v + 2*x. What is the remainder when v is divided by 10?
8
Let b(n) = -3*n**2 + n + 4. Suppose -3*z + 3 = 18. Let r be b(z). Let y = 134 + r. Calculate the remainder when y is divided by 20.
18
Let x = 57 - 55. Calculate the remainder when 4 is divided by x.
0
Suppose -4*z + 1 + 3 = 0, -4*z - 12 = -2*w. Calculate the remainder when w is divided by 2 + (1 - (1 + -3)).
3
Let o(r) = r**3 + 9*r**2 - 11*r - 9. Let y be o(-10). Calculate the remainder when -3 + y*232/4 is divided by 29.
26
Suppose -48 = 5*b - 238. What is the remainder when b is divided by 14?
10
Suppose -3*i - u - 8 = -0, -i + 2 = 5*u. What is the remainder when (-111)/(-3) + i + 3 is divided by 13?
11
Let h be (-66)/(-15) + 4/(-10). Suppose 144 = h*q + 5*v, 3*q = -q + 4*v + 180. Calculate the remainder when q is divided by (-192)/(-14) + 6/21.
13
Suppose -247 = -5*b - 3*v, 2*b + 0*v - 4*v = 78. What is the remainder when b is divided by 16?
15
Let d = 4 - 2. Suppose -2*m - 6 = -5*m + 3*x, x - 1 = 0. Suppose f - a = 2*f - 47, -d*f + 109 = -m*a. Calculate the remainder when f is divided by 26.
24
Let p = 33 + -2. What is the remainder when p is divided by 16?
15
What is the remainder when (-1 + (-5)/(-2))/((-117)/(-12480)) is divided by 27?
25
Let k = 4 - -3. Let r be (-6 - 2) + 1 + 1. Let n(c) = -c**3 - 6*c**2 - 2*c - 9. Calculate the remainder when k is divided by n(r).
1
Let o(h) = 7*h**2 - h. Let b be o(-2). Suppose 4*r + 4*g + 12 = 0, 0 = 7*r - 3*r - 2*g. Let x = b - r. What is the remainder when x is divided by 11?
9
Let f = -39 - -61. What is the remainder when 52 is divided by f?
8
Let x be (-198)/(-5) + (-10)/(-25). Suppose p + 4*p - x = 0. What is the remainder when 22 is divided by p?
6
Let q = -18 - 7. What is the remainder when 47 is divided by (-30)/q*40/3?
15
Let k = 173 + -129. Calculate the remainder when 130 is divided by k.
42
Calculate the remainder when (-11 + 5)*(-10)/4 is divided by 9.
6
Suppose -2 = -n + 5. Let q(a) = -2*a + 16. Let f be q(8). Suppose -5*m + 0*m - 10 = f, 0 = -5*p - 3*m + 19. What is the remainder when n is divided by p?
2
Calculate the remainder when 13 is divided by 7/3 - (8/(-6))/2.
1
Suppose -4*w - 4*o + 95 = w, -5*w - 5*o = -90. What is the remainder when w is divided by 13?
10
Suppose -3*i = 3*n - 4*i - 38, -2*n - 4*i + 16 = 0. Let g(l) = 34*l**2 + l. Let b(f) = f + 5. Let p be b(-4). What is the remainder when g(p) is divided by n?
11
Suppose 4*t = -t + 140. Let x(a) = 11*a**2 + 2*a + 1. Suppose c + c = 4*n + 6, -6 = 2*n - 4*c. Calculate the remainder when t is divided by x(n).
8
Let n = -6 + 10. Suppose 4*f + 2*g - 64 - 44 = 0, -n*f + 4*g = -132. What is the remainder when f is divided by 10?
9
Suppose f - 22 = 5*x, 5 = 3*f - 1. Let u be x/(-1)*2/(-4). What is the remainder when 11 - (1*u + 2) is divided by 6?
5
Let n = 0 - -28. Let s = -10 + 25. Calculate the remainder when n*(-3)/((-9)/3) is divided by s.
13
Let d = 6 + 8. Suppose 5*k - 4*l - 20 = -l, -3*k + 5*l + 12 = 0. What is the remainder when d is divided by k?
2
Suppose 0 = 3*u - 31 - 5. Let v = 66 - 31. What is the remainder when v is divided by u?
11
What is the remainder when 55 is divided by ((-4)/6)/((-2)/21)?
6
Suppose -o = 5*m - 108, 138 = 4*o - 3*o - m. What is the remainder when o is divided by 34?
31
Let y(g) = 6*g + 1. Suppose 0 = 3*q - 8 - 1. What is the remainder when y(q) is divided by 5?
4
Suppose -9*u + 39 = -15. What is the remainder when 69 is divided by u?
3
Let h be 14/4 - 1/2. Suppose -h*d - 4*l + 18 = -7*l, -3*d = 3*l. Calculate the remainder when d is divided by 2.
1
Let f = -14 - -21. Calculate the remainder when 17 is divided by f.
3
Suppose -4*h - 25 + 325 = 0. Calculate the remainder when h is divided by 11.
9
Let r = 1 + 5. Suppose -s + 0*s + r = 0. Suppose -110 = y - s*y. Calculate the remainder when y is divided by 12.
10
Let t(s) = -12*s - 46. Let r(p) be the second derivative of 20*p**3/3 - p**2/2 - 2*p. What is the remainder when r(1) is divided by t(-5)?
11
Calculate the remainder when (180/25)/(-6)*-90 is divided by 57.
51
Suppose 1 = z - 25. What is the remainder when z is divided by 7?
5
Suppose 0 = -4*p + 5*n + 49, -4*p + 2*n + 41 = 5*n. What is the remainder when p is divided by 3?
2
Let s be -2 + (8 - 2) + 1. Suppose -56 = -l - 3*l - 3*n, 5*n = s*l - 105. Calculate the remainder when l is divided by 6.
5
Let f(w) = w**2 - 2*w - 2. Let n(b) = 2*b**2 - 6*b + 129. Calculate the remainder when n(0) is divided by f(-5).
30
Let i(r) = -3*r**3 - 2*r**2 - 2*r. Let o be i(-2). Suppose 3*j = j + o. What is the remainder when 18 is divided by j?
8
Suppose 3*d + 26 = 4*d. Calculate the remainder when d is divided by 14.
12
Suppose -4*w = y - 9, -2*y + w + 18 = 3*w. Let t(d) = 4*d - 1. Calculate the remainder when t(y) is divided by 18.
17
Let b be 10 - (1 + (-4 - -3)). Let j = -3 + b. What is the remainder when 25 is divided by j?
4
Suppose -5*c = -0*c. Suppose -3*g + 36 = -2*g. Suppose -3*a + 5*a - g = c. Calculate the remainder when 33 is divided by a.
15
Let l(o) = o**3 + 6*o**2 + 2*o + 3. Let a(i) = -2*i**3 + 4*i**2 - 3*i + 2. Let c be a(2). What is the remainder when 51 is divided by l(c)?
24
Calculate the remainder when 17 is divided by (5/15)/(1/27).
8
What is the remainder when 13*1 + 1*-2 is divided by 0/(2 - 3) + 6?
5
Let l(i) = -i**3 + 3*i**2 - i - 3. Let w be l(-4). Suppose 70 = 3*p - w. What is the remainder when p is divided by 16?
13
Let k(m) = 10*m - 1. Let o