 - 4*n = -2*w + 34. Calculate the remainder when w is divided by 7.
4
Suppose 0 = 2*l - 5*a - 21, 7*a - 17 = -l + 3*a. Calculate the remainder when l is divided by 4.
1
Let n be 1/(1 - 8/10). Suppose n*w - 7 - 13 = 0. What is the remainder when w is divided by 4?
0
Suppose -g = -0*g - 1. Let f = 0 + g. Suppose 0 = 40*u - 37 - 3. What is the remainder when u is divided by f?
0
Let f be (24 - 0/(-1)) + 1. Suppose 3*y - 4*y - 29 = -5*t, 3*y - 5*t = -57. Let u = y + f. What is the remainder when 32 is divided by u?
10
Suppose -a = 5*t + 37, 3*a - 2*a + 13 = -2*t. Calculate the remainder when 6 is divided by -3*4/t*2.
0
Let y = 32 + -28. Calculate the remainder when 29 is divided by y.
1
Suppose -162 = -10*g + 88. What is the remainder when g is divided by 3?
1
Suppose 2*v - 4 = 3*t, -3*v = -0*t - t - 13. Suppose p = -t*q - 0*q - 5, 3*p + 5 = -4*q. Calculate the remainder when p is divided by 3.
2
Suppose p = -p - 4, -2*b + 62 = -2*p. What is the remainder when b is divided by 18?
11
Let v be (6 + 0)*(-4)/(-3). Let j = v + -3. Calculate the remainder when (6 - -6)/(3/2) is divided by j.
3
Let f be (1 - 22)*3/(-9). Suppose -f - 5 = -5*g + i, -g + 3*i + 8 = 0. Calculate the remainder when (-6)/(-9)*(-15)/(-2)*1 is divided by g.
1
Let k(j) = -4*j - 3. Let b = 1 - 5. Suppose 2*l - 24 = 74. What is the remainder when l is divided by k(b)?
10
Suppose n + 0*r = 3*r + 41, 0 = 5*n + r - 141. Calculate the remainder when n is divided by 10.
9
Let f = 182 + -102. Suppose -4*q + f = 5*u, 4*q = -0*u - 2*u + 44. What is the remainder when 33 is divided by u?
9
Let m be 12*((-9)/3 + 4). What is the remainder when (40/m)/(4/30) is divided by 9?
7
Suppose q = -0*q + 9. Let i = q - -1. What is the remainder when 28 is divided by i?
8
Suppose -4*r + 80 = -4*z, 5*r - 9 - 94 = 2*z. Calculate the remainder when 61 is divided by r.
19
Suppose -103 = -5*c - 18. Let f = 72 - 23. What is the remainder when f is divided by c?
15
Let z be 14*(1/(-2))/1. Let x be (5 + z)/((-2)/(-3)). What is the remainder when 22 is divided by 3/(-3)*x + 3?
4
Suppose -2*a + b + 50 = 0, -4*b - 73 = -3*a - 2*b. Calculate the remainder when 51 is divided by a.
24
Suppose 169 = 5*h - 226. What is the remainder when h is divided by 9?
7
What is the remainder when (-17)/((-4)/((-32)/(-4))) is divided by (2 + -8)/(4/(-6))?
7
Let w = 20 + -7. Let u = -75 - -99. Calculate the remainder when u is divided by w.
11
Let d(r) = -r**3 - 4*r**2 - 5. Let q be d(-4). Let p = 27 - q. Suppose 3*v + 2 - 53 = 0. What is the remainder when p is divided by v?
15
Let i = 44 - -4. Suppose 5*j - j = i. Calculate the remainder when j is divided by 5.
2
Calculate the remainder when (-39)/(-4)*(-13 - -21) is divided by 16.
14
Let a be -2*(11/2 + -1). Let d = a + 11. Let m = -13 - -18. What is the remainder when m is divided by d?
1
Suppose 5*g = -0*u + 4*u + 165, -5*u = 25. What is the remainder when g is divided by 15?
14
Let q = 1 + -3. Let j be 34/(1 + 0) - q. Let m = 50 - j. Calculate the remainder when 41 is divided by m.
13
Let j(r) = 2*r**2 + 3*r - 7. Calculate the remainder when 36 is divided by j(-4).
10
Let w(p) = -2*p + 11*p + 3*p**3 - 8*p**2 + 8 - 2*p**3 - 4. Calculate the remainder when 32 is divided by w(7).
14
Suppose 3*d - 44 = 2*z, 18*d + 3*z - 38 = 16*d. What is the remainder when 3/(-2)*62/(-3) is divided by d?
15
Calculate the remainder when (-2 - -3) + (-3 - -113) is divided by 38.
35
Let y = -82 - -115. Calculate the remainder when 97 is divided by y.
31
Suppose 0 = 4*k - 2*o + 3*o - 10, -2*k = 3*o. Let y = -2 - -4. What is the remainder when (1 - y) + 8 - 1 is divided by k?
0
Suppose -b - 3*b = -40. Let y(h) = h**3 - 5*h**2 - 10*h. Calculate the remainder when y(7) is divided by b.
8
Let k be (-2)/(-8) + 381/12. Suppose -q = -5*q + k. What is the remainder when 22 is divided by q?
6
Let p be 7 + 6/(3 - 1). Calculate the remainder when 5 is divided by (-8)/(-10)*p/4.
1
Let l(i) = -i**3 - 11*i**2 - 10*i. Let n be l(-10). Suppose 2*v - v - 9 = n. Calculate the remainder when 15 is divided by v.
6
Let f(p) = p**3 + 10*p**2 - 11*p + 20. What is the remainder when 3*-1*(-174)/9 is divided by f(-11)?
18
Suppose 4*f - 6*f = p - 87, 403 = 5*p + 2*f. What is the remainder when p is divided by 20?
19
Let c = 57 - 41. Calculate the remainder when 60 is divided by c.
12
Suppose 2*c = f - 4 + 6, -5*f = -4*c - 14. Let i = f + 2. Calculate the remainder when 2/7 + (-206)/(-14) is divided by i.
7
Let h be 180/42 - (-2)/(-7). Suppose h*b - 2*l = 44, 6*b + 5*l - 58 = 2*b. What is the remainder when 22 is divided by b?
10
Let q = -201 + 343. Let i = q + -90. What is the remainder when i is divided by 18?
16
Let n = 0 + -6. Let q(a) = a**2 + 6*a + 1. Calculate the remainder when 1 is divided by q(n).
0
Let x(a) be the second derivative of a**4/12 - a**3/3 - 3*a**2 - 2*a. What is the remainder when x(-6) is divided by 11?
9
Let f = -10 - -32. Let x = f - 10. Suppose -t = -0*t - 7. What is the remainder when x is divided by t?
5
Suppose 0*c = -4*c + 172. Calculate the remainder when c is divided by (22/(-3))/(16/(-24)).
10
Suppose 0*w = -2*w - 2, -4*w = 2*p. Calculate the remainder when 7 is divided by p.
1
Let s(b) = -15*b - 6. Calculate the remainder when 85 is divided by s(-2).
13
Let h(y) = -y**2 - 5*y - 3. Let g be h(-6). What is the remainder when 45 is divided by g/(3/1) + 26?
22
Suppose 6*p + 14 = 7*p. Calculate the remainder when p is divided by 8.
6
Let x = 86 + -48. What is the remainder when x is divided by 20?
18
Suppose 0*u + 30 = 5*u. Let o(t) = -t**2 + 8*t - 3. Let h be o(u). Suppose -h = 4*m - 25. Calculate the remainder when 6 is divided by m.
2
Let i(f) = -f**3 + 9*f**2 - 3*f - 11. What is the remainder when 57 is divided by i(8)?
28
What is the remainder when 5/(10/24) + -2 is divided by 3?
1
Suppose -5*i + 4*d = -26 + 3, 3*d - 44 = -5*i. Let o = i + 4. Let x(c) = 3*c + 8. Calculate the remainder when x(o) is divided by 14.
13
Let n = -10 - -11. Let z = n + 11. What is the remainder when 23 is divided by z?
11
Suppose 2*z - 310 + 8 = 0. Suppose -2*i - 3*i = -2*r + z, 0 = -2*r - 4*i + 142. What is the remainder when r is divided by 25?
23
Suppose -15 = -z + 5. Suppose 2*f = 56 - z. What is the remainder when f is divided by 11?
7
Let k(x) = x + 2. Let j be k(-4). Suppose -2*g = -10, 5*g + 17 = -3*i + 84. What is the remainder when (j + -50)/(1 + -3) is divided by i?
12
Let v(b) = -b + 25. Calculate the remainder when 55 is divided by v(11).
13
Let l(w) = -w**3 - 3*w**2 - w. Let u be l(-3). Suppose -u*s = 7 - 25. Calculate the remainder when 11 is divided by s.
5
Let g = 0 - -7. Suppose -j + g = -7. Calculate the remainder when 39 is divided by j.
11
Suppose -o - 4*o = -130. What is the remainder when 51 is divided by o?
25
Suppose -4 + 2 = -2*p. Suppose -1 = -m, -4*m - 29 = -4*z + 15. What is the remainder when 23 + (0 - 0)/p is divided by z?
11
What is the remainder when -3*102/(-18) - 3 is divided by 8?
6
Suppose 6*t = 104 - 2. What is the remainder when 4*(-11)/4*-3 is divided by t?
16
Let c = -23 - -38. What is the remainder when c is divided by 9?
6
Suppose -10 = -5*s + 2*h, -s = -0*s - 3*h + 11. Let g be (-1)/1*-1*5. Suppose 0 = 3*p - g*p + 6. What is the remainder when s is divided by p?
1
Suppose 5*t - 48 = 42. Suppose -6 = 5*f + 3*w + w, t = 3*f - 3*w. Calculate the remainder when 11 is divided by -5*f*(-12)/30.
3
Let y(q) = -8 + 5*q + q - 2*q - 2*q. Suppose -2*t + 16 = -2. Calculate the remainder when t is divided by y(7).
3
Let o = -51 - -99. Suppose 3*x - 2*j = -3 + 31, 2*j = 5*x - o. Calculate the remainder when (3 + -1)/(x/20) is divided by 2.
0
Let q(p) = p**2 - 6*p + 8. Suppose 5*a + 47 = -3*s, -3*a + 5*s = 2*a + 55. Let v be q(a). Suppose -5*h = -v - 2. What is the remainder when h is divided by 12?
10
Suppose -79 = -3*l - o, l - 2*l + 21 = -5*o. Suppose 0 = -0*k - 2*k + l. What is the remainder when k is divided by 0 - (-16)/(0 + 2)?
5
Suppose -b - 85 = -5*f, 6 = f + 4*b - 11. Let s(q) = q**3 + 5*q**2 - 7*q. Let v be s(-6). Suppose m + 0*m = v. Calculate the remainder when f is divided by m.
5
Suppose 3*z + 5*t = 49, 2*t - 45 = -3*z - 11. Calculate the remainder when 66/(-21)*(1 - 8) is divided by z.
6
Let d = 4 + -1. Calculate the remainder when (2/d)/(3/63) is divided by ((-5)/4)