 remainder when v(h) is divided by 3.
2
Let s = -17 - -50. Suppose 3*l + 3*v - 6*v = s, -7 = -2*l + 5*v. Calculate the remainder when l is divided by 6.
4
Suppose 6*b = 709 + 761. Suppose 0 = 8*g - 3*g - b. What is the remainder when g is divided by 13?
10
Calculate the remainder when (-2 - -63)/(-1 + 2) is divided by 21.
19
Suppose -u = -4*u - 66. Let h = -16 - u. What is the remainder when 21 is divided by h?
3
Suppose -4*t - q + 44 = 3*q, -t - 1 = -5*q. Let z(y) = 3*y**2 + y + 4. Calculate the remainder when z(3) is divided by t.
7
Let h = -3 - -7. Suppose -56 = -4*t + h*z, 0 = 2*z - 4 + 12. Calculate the remainder when 18 is divided by t.
8
Let x(v) = -v**3 - 8*v**2 - 5*v - 7. Let m be x(-7). Calculate the remainder when 29 is divided by (30/m)/((-2)/14).
9
Let x = -18 - -33. Calculate the remainder when 74 is divided by x.
14
Let s = 195 - 138. Calculate the remainder when s is divided by 12.
9
Let q(m) = m**2 + 2*m + 1. Let a be q(3). Suppose a + 40 = 2*b. Suppose 2*f - 4*k = -0*k + b, -5*k + 69 = 4*f. Calculate the remainder when 31 is divided by f.
15
Let t(n) = n. Let v be t(2). Suppose v = 5*r - 23. What is the remainder when 12 is divided by r?
2
Let v = -137 + 155. Let p = -6 + 13. Calculate the remainder when v is divided by p.
4
Let b(i) = 2*i**2 - 17*i - 14. Let v(z) = -z**2 + 9*z + 7. Let u(q) = 4*b(q) + 9*v(q). Calculate the remainder when u(12) is divided by 5.
4
What is the remainder when (296/10)/(4/10) is divided by 13?
9
Suppose -7 + 1 = -3*m + 3*b, 0 = 2*m + 4*b - 28. Calculate the remainder when m is divided by 4.
2
Let r(d) = d**3 + 8*d**2 + 8*d + 10. Let c(j) = -5*j - 3. Let g be c(-3). Suppose -47 = 5*m - g. Calculate the remainder when 4 is divided by r(m).
1
Suppose -23 = -4*u - 5*k - 0*k, 0 = -4*u + 3*k + 63. Let m = -11 + u. What is the remainder when 3 is divided by m?
0
Let a = 54 + 4. Calculate the remainder when a is divided by 12.
10
Suppose -2 = -3*d + 10. Let y = -5 + d. Calculate the remainder when 47 is divided by ((-117)/(-3))/3 + y.
11
Suppose -4*v + v = 45. Let k(d) = -d**3 + d**2 + 1. What is the remainder when 39 - -2*v/10 is divided by k(-2)?
10
Let l(u) = 14*u + 3. Let c be l(-4). Let f = c - -92. What is the remainder when 1*f/((-6)/(-2)) is divided by 5?
3
What is the remainder when (-3)/(4/(-26) - 334/(-2678)) is divided by 7?
5
Calculate the remainder when (-3 + -2)*132/(-15) is divided by 16.
12
Suppose 0 = 2*x + 4 + 12. Let z = 11 + x. Suppose 5*l = -5*j + 75, -z*j = -2*j. What is the remainder when 29 is divided by l?
14
Suppose 5*q - 9 = 31. Suppose -3*h = 3, -2*a - 2*h = -0*h + q. Calculate the remainder when 2 - 2 - 45/a is divided by 8.
7
Let m(z) = 2*z - 6. Let t be m(4). Suppose -5*w = -x - 17, 11 = 3*w - t*w - 4*x. What is the remainder when 5 is divided by w?
2
Let l(h) = -3*h + 41. Let z be l(13). Let a be (-2)/(-7) + (-654)/(-14). Let v = a - z. Calculate the remainder when v is divided by 12.
9
Suppose w - 84 = -2*w - 3*a, -4*w + 72 = -4*a. Suppose v - 78 = 25*x - 30*x, -5*x = 5*v - 350. What is the remainder when v is divided by w?
22
Let f = 94 + -39. Suppose 0 = -5*q + 5*h + 35, -h + 16 = -5*q + f. Calculate the remainder when 22 is divided by q.
6
Let z(k) be the third derivative of k**5/12 - k**4/12 - 3*k**3/2 - 8*k**2. What is the remainder when z(-4) is divided by 27?
25
Suppose -7*r - 16 = -11*r. Calculate the remainder when r is divided by 4.
0
Let y = -23 + 45. What is the remainder when 40 is divided by y?
18
Suppose -98 = -5*g + 127. Suppose -7*a - 3*v = -3*a - g, -5*v - 100 = -5*a. Calculate the remainder when a is divided by 8.
7
Let s = 59 + -34. Let i = s + 15. Suppose -i = -5*v + v. What is the remainder when v is divided by 6?
4
Let u = -20 - -33. Calculate the remainder when 15/(-5)*100/(-6) is divided by u.
11
Suppose 1 = 3*l - 8. What is the remainder when (-2)/6*2*-6 is divided by l?
1
Let z = -4 + 8. Suppose -3*a - x = -6*x - 56, -4*x = -z*a + 72. Let c(p) = p**2. What is the remainder when c(-7) is divided by a?
15
Let s(z) = -z + 3. Let d be s(6). Let a = -1 + d. Let y = 9 + a. What is the remainder when y is divided by 2?
1
Let u = 155 - 92. Suppose 3*q - 18 = 48. What is the remainder when u is divided by q?
19
Calculate the remainder when 33 + 0 - (-2 - -1) is divided by (81/(-36))/((-2)/8).
7
Suppose 3*u - 2*g = 14, -u = -4*g + 9 + 3. Calculate the remainder when 17 is divided by u.
1
Let l(r) = 6*r - 8. What is the remainder when 69 is divided by l(3)?
9
Suppose 3*w - 149 = -2*w - 3*q, -87 = -3*w - q. What is the remainder when w is divided by 15?
13
Let a(r) = -7*r - 7. Let t be a(-6). Suppose 0*y + 5*y = t. Suppose -5*s + 46 = -14. What is the remainder when s is divided by y?
5
Suppose r - 5 = -1. Suppose -70 = -r*l - l. Calculate the remainder when ((-3)/(-4))/(12/432) is divided by l.
13
Let r(d) = -d**3 - d**2 - 4*d - 3. Let t be r(-2). What is the remainder when 7 is divided by -1*6/t*-3?
1
Let h(o) = 9*o - 3. Calculate the remainder when h(2) is divided by 9.
6
Let u(p) = -p**2 - 6*p + 2. Let l be u(-6). Calculate the remainder when 47 is divided by (-46)/(-3 - -1) + l.
22
Suppose -4*g + 96 = -a + 5*a, -5*g = -2*a + 69. What is the remainder when a is divided by 10?
7
Let l(s) = -3*s**2 + 3*s - 11. Let h(y) = -y**2 + y - 4. Let n(c) = 17*h(c) - 6*l(c). What is the remainder when 5 is divided by n(3)?
1
Suppose -4*o + 4 = 0, -2*o + 5 = y - 3. Suppose y = 2*x - 4. What is the remainder when 15 + (-2 - (-2 + 1)) is divided by x?
4
Let c = -49 + 107. Calculate the remainder when c is divided by 15.
13
Let c(z) = -z**3 - z**2 + z - 2. Let l be c(-2). Suppose -3 = -3*p, -5*k + 2*p + 13 = -l*p. What is the remainder when k is divided by 2?
1
Suppose v + 4 = -1. Let x(n) = 2*n**2 + 6*n + 6. Calculate the remainder when x(v) is divided by 9.
8
Let a(z) = -2*z. Let g be a(-6). Suppose -3*d - 2*b = -12, 0 = 3*d + 5*b - g. Calculate the remainder when 6 is divided by d.
2
Let m = -5 + 27. What is the remainder when m is divided by 6?
4
Suppose 0 = -4*v - 6*o + 3*o + 275, -5*o - 300 = -5*v. Let n(b) = -6*b - 20. Calculate the remainder when v is divided by n(-7).
21
Let y = 8 - 3. Suppose -y*p + 11 = r - 19, -2*p = r - 9. What is the remainder when 12 is divided by p?
5
Let g be 244/12 - 2/6. Let w = 33 - g. Calculate the remainder when w is divided by 5.
3
Suppose 7*p = 2*p + 5. Suppose 3*g + 2*o - 36 = 0, -p - 6 = -g + o. What is the remainder when 28 is divided by g?
8
Let b = -1 - -1. Suppose b = 3*o - g, 3*g = 2 + 7. What is the remainder when o is divided by (-3)/(-5) + (6 - (-168)/(-30))?
0
Suppose 0 = 2*g - 11*g + 207. Calculate the remainder when g is divided by 8.
7
Let k be 2/7 - (-99)/21. Suppose -h - k = -16. Suppose 2*q = 3*q - h. Calculate the remainder when q is divided by 6.
5
Let a(m) = 3*m + 2. What is the remainder when a(13) is divided by 21?
20
Suppose -p = -l + p - 6, -l = -p + 4. Calculate the remainder when 23 is divided by -4*(2/l - 1).
7
Suppose a - 3 = 0, 3*a + 15 = 3*b - a. Calculate the remainder when 14 is divided by b.
5
Let z(i) = i**2 - 8*i + 6. Let t be z(8). Suppose 0 = 3*m - t*m - 3. What is the remainder when 55 is divided by (38/(-4))/(m/2)?
17
Suppose 5*m - 2*q = 10, -3*q + 10 = 5*m - q. Suppose -m*g + 195 = 3*g. What is the remainder when g is divided by 20?
19
Let a be (-1)/(-4) - (-28)/16. Suppose -a*s = -s - 12. Calculate the remainder when 22 is divided by s.
10
Let r be ((-7 + 1)*-1)/2. Suppose -14 + r = -t. Calculate the remainder when 31 is divided by t.
9
Suppose 0 = 5*k + 5 - 20. Suppose -k*y = -0*y - 93. Suppose -r + 3 + 6 = -2*w, -5*w + 38 = 3*r. What is the remainder when y is divided by r?
9
Suppose -13*s + 432 = -270. What is the remainder when s is divided by 18?
0
Suppose 0 = 5*o + 5*u - 7 - 13, -4*u - 5 = -3*o. Let m = -14 - -18. What is the remainder when m is divided by o?
1
Let l(m) = m**3 - 7*m**2 + 6*m - 5. Let a be l(6). Suppose 2*z + 26 = -4*b + 6, 0 = z + 3*b + 12. Let j = a - z. What is the remainder when 2 is divided by j?
0
Suppose 2*f + 23 = 257. Let q = f + -64. Let b = q - 35. What is the remainder when 53 is divided by b?
17
Let q(m) = m**3 + 8*m**2 - 11 - 8*m - 2*m - 4*m. What is the remainder when q(-9) is divided by 12?
10
Let z(c) = c**2 - 6. Calculate the remainder when 17 