h = -46, v = l - 5*h. Calculate the remainder when l is divided by 7.
5
Let a(c) = 4*c + 1. Let j = 6 - 3. What is the remainder when 23 is divided by a(j)?
10
Let b = -3 - -3. Suppose 14 = r - b*r. What is the remainder when 27 is divided by r?
13
Suppose 5*f + 8 = 3*f - 5*x, 4*x + 16 = 0. Suppose f*g - 2*g - p = 231, 2*g - 3*p - 113 = 0. What is the remainder when 10 is divided by g/10 + 3/15?
4
Let i be 4/(-3)*(-399)/(-14). Let f = i + 111. What is the remainder when f is divided by 25?
23
Let g(r) = 3*r**2 + 12*r + 42. Calculate the remainder when 124 is divided by g(-4).
40
Suppose -3*v - 3*o + 3 = 9, -4*o = 3*v + 2. Let g(x) = -x**3 - 6*x**2 + 2. Calculate the remainder when (-40)/(-6) - (-8)/(-12) is divided by g(v).
0
Suppose 3*u + 120 = 3*s, 3*s - 100 = -0*u - 2*u. What is the remainder when s is divided by 9?
0
Suppose 3*a = 5*p, 3 - 4 = -3*p + 2*a. Let v(z) = -z**3 - 3*z**2 - 5*z - 2. Calculate the remainder when v(p) is divided by 4.
1
Suppose -4*f + 8*f - 446 = 5*x, -3*x + 348 = 3*f. What is the remainder when f is divided by 29?
27
Let t be 2/(-4) - (-2)/4. Suppose t = h + 5*y - 10, -2*h - 4*y + 3 = -5. Let p(l) = l**2 + 1. What is the remainder when 1 is divided by p(h)?
0
Let q = 32 - 19. Suppose 3*j - q = -1. Calculate the remainder when 5 is divided by j.
1
Suppose -d = -0*d - 25. Let v be 1*3/(1/1). Suppose 4*z = 3*t - 39, -42 = -v*t + 3*z + 2*z. Calculate the remainder when d is divided by t.
7
Suppose 43 = 5*n - 17. Calculate the remainder when 25 is divided by 160/n + (-2)/(-3).
11
Let s be (-85)/2 - 4/(-8). What is the remainder when 60 is divided by 14/s*(0 + -93)?
29
Let t = 24 + -16. Suppose 7*r - 105 = 2*r. What is the remainder when r is divided by t?
5
Let p = 47 - 18. Suppose 0*d + 4*n + 48 = 3*d, -2*n = -3*d + 48. Calculate the remainder when p is divided by d.
13
Let s(b) = b**2 - 8*b + 3. Let m be s(7). Calculate the remainder when 878/18 + m/(-18) is divided by 13.
10
Let p = -87 + 149. Suppose 3*t = p + 52. What is the remainder when t is divided by 13?
12
Let r = 168 + -57. Let i = r + -60. Let u = i + -33. Calculate the remainder when u is divided by 10.
8
Suppose n - 5 = 16. Suppose 3*j = 8 + 16. What is the remainder when n is divided by j?
5
Let u(d) = -9*d - 9. Let t(b) = -22*b - 22. Let q(g) = 5*t(g) - 12*u(g). What is the remainder when 19 is divided by q(-6)?
9
Let b = 9 - 7. Suppose -4*q - b*v + 125 = -39, 0 = -4*q + 4*v + 140. Calculate the remainder when q is divided by 20.
19
Suppose -z = 3 - 2. What is the remainder when 48/(-32)*28/(-3) is divided by (-4 + 0)/(z/2)?
6
Let h(b) = -4 + 0*b - 4*b - 2 + 0. What is the remainder when 19 is divided by h(-4)?
9
Let g(v) = -12*v + 10*v**2 + 0 + 4*v**3 + 0 - 3*v**3. Calculate the remainder when 31 is divided by g(-11).
9
Let v = 9 - -31. What is the remainder when v is divided by 21?
19
Suppose 2*w = -w + 111. Calculate the remainder when w is divided by 338/18 - (-2)/9.
18
Suppose 4 = 5*x + 5*w - 41, 0 = 2*x - 3*w - 13. Let n(r) = -r**3 + 9*r**2 - r - 6. Calculate the remainder when n(x) is divided by 17.
16
Suppose -5*o - 4*r + 20 = 0, 2*r - 27 = -4*o + r. Let d = 2 - -3. Calculate the remainder when o is divided by d.
3
Suppose -3*q - 6 = 0, -q = -4*m - 4*q - 22. What is the remainder when ((-6)/(-9))/(m/(-66)) is divided by 6?
5
Let y(c) = -c**3 + 2*c**2 - c - 2. Let i be y(3). Let l(n) = -36*n**2 - 2. Let v be l(-3). What is the remainder when v/i - 10/35 is divided by 8?
7
Calculate the remainder when (-126)/24*(-4)/3 is divided by 3.
1
Let v(l) = l**2. Let o be v(-1). Let z be o*(-3 + (0 - 0)). Let r = z - -6. What is the remainder when 5 is divided by r?
2
Let a(d) = 4*d**2 + 7*d + 9. Calculate the remainder when a(-5) is divided by 19.
17
Suppose 0 = -4*o - 12, 11 + 17 = l - 3*o. Calculate the remainder when l is divided by 2.
1
Suppose 4*r - 48 = 300. What is the remainder when r is divided by 22?
21
Let g = -128 - -187. Calculate the remainder when g is divided by 23.
13
Suppose -41 = -3*h - t, -t - 6 = -2. Calculate the remainder when 42 is divided by h.
12
Let a(l) = -6*l - 20. Suppose -2*x + 13 + 51 = 5*h, x = -3*h + 38. What is the remainder when a(-7) is divided by h?
10
Suppose -5*n + 3*z = 2*z + 5, 5 = -n + z. Suppose 27 = 5*s + 4*h - 32, -3*s + 4*h + 29 = n. Calculate the remainder when 32 is divided by s.
10
Let n(k) = -k. Let b be n(0). Suppose b = -0*p - 4*p + 96. What is the remainder when 70 is divided by p?
22
Let y(h) = 2*h**2 - 7*h + 6. Let u be y(5). Let m = u + -7. Let t(v) = 42*v**2 + v. What is the remainder when t(-1) is divided by m?
13
Suppose -y - 57 = -4*y. Suppose -4*s + 2*s = -5*j + 13, 3*s + j = -45. Calculate the remainder when s/(-35) + (-368)/(-5) is divided by y.
17
Let v(w) = -2*w + 17. Calculate the remainder when v(0) is divided by 5.
2
Suppose -m = -n - 6*m + 5, -4*n + 20 = 5*m. Calculate the remainder when 9 is divided by n.
4
Suppose 84 = 7*r - 3*r. Suppose o - 4 = 4*k + r, 2*o - 3*k - 45 = 0. Calculate the remainder when 82 is divided by o.
19
Suppose 6*o = -7 - 11. What is the remainder when -2*((-54)/4 + -1) is divided by o*(1 - 55/15)?
5
Suppose -627 = -9*i - 2*i. Calculate the remainder when i is divided by 15.
12
Let r(m) = -13*m**3 - 2*m**2 - 3*m - 2. Let s be r(-1). Let n(d) = d**3 - 13*d**2 + 14*d + 1. What is the remainder when n(s) is divided by 7?
4
Let m be 2 - (-1 - 0)*2. Let p(s) = 3*s - 1. What is the remainder when 19 is divided by p(m)?
8
Suppose 6*t - 4*t = 6. Suppose 42 = -t*x + 171. Calculate the remainder when x is divided by 15.
13
Suppose -2*p = 3*p + 10. Let m be p/3*3 + 6. Calculate the remainder when 41 is divided by m/6 + (-200)/(-15).
13
Calculate the remainder when (57/(-12))/(5/(-20)) is divided by 5.
4
Let g(k) = 2*k**3 - 4*k**2 - 3*k + 8. Calculate the remainder when 83 is divided by g(3).
15
Let w be -1*(8/2)/(-2). Suppose -3*p - 45 = -w*s, p - s = -3*s - 7. Let h = -11 - p. Calculate the remainder when 2 is divided by h.
0
Let h(y) = -y**3 - 7*y**2 + y + 9. Let b be h(-7). Let t = b - -5. What is the remainder when 20 is divided by t*(1*-2 - -3)?
6
Let s(w) be the second derivative of -5/2*w**2 - w + 0 + 2/3*w**3. What is the remainder when 31 is divided by s(4)?
9
Let k(i) = 3*i - 1. Suppose -2*h = -4*l + 17 + 43, 3*h + 3*l = -117. What is the remainder when (18/(-12))/(2/h) is divided by k(5)?
13
Let q = 5 + -2. Let w be -2 - 4/((-4)/q). Calculate the remainder when 11 is divided by (w - -1)/(4/8).
3
Let h(u) = -u**2 + 8*u - 7. Let c be (-13 - -2)/(2/(-4)). Suppose 4*m - 114 = -c. What is the remainder when m is divided by h(5)?
7
Let k be 334/22 - 18/99. Suppose -27 - k = -6*w. Suppose 4*a + 42 = 2*i, -3*i = -5*a + 2 - 61. What is the remainder when i is divided by w?
6
Suppose 5*z - 4*g - 16 = 0, -5*z + 2*g = -0*z - 8. Let q = 2 + z. Calculate the remainder when q is divided by 2.
0
Let n = -35 + 74. What is the remainder when n is divided by 5?
4
Suppose -3*z = -4 - 11. Suppose -68 = -z*p + o - 0*o, 3*p + 5*o = 24. Let i(f) = 2*f**2 + 4*f - 5. What is the remainder when i(-5) is divided by p?
12
Suppose -2*f + s + 13 = 0, 3*f - 32 = -0*f - s. Suppose f = -l + 26. Suppose -3*q - 4*o = -6, q + 3 = -o - 2*o. What is the remainder when l is divided by q?
5
Let d(r) = -4*r - 21. What is the remainder when d(-16) is divided by 23?
20
Suppose 0 = -4*i + 5*i - 5*s - 15, -2*s = 3*i - 11. Calculate the remainder when 4 is divided by ((-2)/(-3))/(i/15).
0
Let o be 2/(-7) - (-72)/7. Let z = -5 + o. Let c(b) = b + 7. Calculate the remainder when c(6) is divided by z.
3
Let b(l) = -2*l. Calculate the remainder when 29 is divided by b(-5).
9
Suppose 4*v - 5 - 11 = 0. Suppose -3*p - 44 = -a - 13, -v*p + 28 = 3*a. Calculate the remainder when 31 is divided by a.
15
Let v = 9 + -9. Suppose -5*x + 2 + 23 = v. What is the remainder when 14 is divided by x?
4
Let n = 11 - 9. What is the remainder when 22 is divided by (-9)/6*n + 15?
10
Let p(f) = f**3 + 7*f**2 + 6*f + 9. Calculate the remainder when 23 is divided by p(-6).
5
Suppose -4*y = -3*w + 167, 2*w - 5*y = -3*w + 270. Calculate the remainder when w is divided by 26.
23
Let i = -27 + 48. What is the remainder when i is divided by 11?
10
Let c(z) = 20*z**3 + 3*z**2 - 2. Suppose l + 5*q - 6 = 0, 5*l - 5*q = l + 49. Calculate th