 Suppose -5*p + 3*a = a - 35, 0 = n*p + 2*a - 10. Suppose -4*w + 3 = -p. What is the remainder when w is divided by 1?
0
Let l = -3 - -6. Suppose 3*u - 15 = -l. What is the remainder when 9 is divided by u?
1
Suppose -58 = -3*n + 4*c, 2*c - 103 = -3*n - 3*c. Calculate the remainder when n is divided by 10.
6
Let t(i) be the first derivative of 3*i**2/2 - 3*i - 3. Let d be t(2). Suppose -2*y = -3*y - 3, 105 = d*m + y. What is the remainder when m is divided by 13?
10
Let w(m) = 3*m - 2. Let i be w(2). Suppose 0 = -i*q - 5 + 33. Let n = -3 + 6. What is the remainder when q is divided by n?
1
Calculate the remainder when (-2 + -17)/(3/(-15)) is divided by 29 + -3 + 1 + -3.
23
Suppose 6*n - 121 = -5*n. What is the remainder when 87 is divided by n?
10
Suppose -4*a = 4*f - 44, f = 1 + 1. Calculate the remainder when 2/(-6) - 400/(-12) is divided by a.
6
Suppose 4*h + h = 15. What is the remainder when h is divided by 1?
0
Let n(p) = -4*p + 9. Let k = -15 + 34. Calculate the remainder when n(-7) is divided by k.
18
Calculate the remainder when 14 + -1 - (29 - 27) is divided by 4.
3
Let k = -3 - -6. Suppose k*c = 7*c - 44. What is the remainder when c is divided by 7?
4
Let c(f) = f + 1. Let i(v) = 13*v - 2. Let g(d) = -d**2 + 8*d - 3. Let n be g(8). Let w(a) = n*c(a) - i(a). Calculate the remainder when w(-1) is divided by 8.
7
Suppose 30 = 43*x - 41*x. What is the remainder when 27/(1/(1 - 0)) is divided by x?
12
Let c(d) = -d**3 - 4*d**2 - 5*d - 2. Let u(l) = l**2 - 12*l - 4. Let h be u(12). Calculate the remainder when -1 + 36 + 0 + 0 is divided by c(h).
17
Let p = 6 - 4. Suppose -r = -18 - 26. Suppose p*w - r = 32. Calculate the remainder when w is divided by 13.
12
Suppose -3*a - a = -96. Suppose 9*x - 5*x = 52. What is the remainder when a is divided by x?
11
Let n(p) be the first derivative of -p**2/2 - p + 2. Suppose -3*t - 3*c + 17 = 2*t, -2*t - 3*c + 5 = 0. What is the remainder when t is divided by n(-4)?
1
Suppose 3*x + 0*x = -4*z + 218, -x - 282 = -5*z. What is the remainder when z is divided by 16?
8
Let o(v) = 14*v + 5. Let p(f) = -29*f**3 + 2*f**2 + 2*f + 1. What is the remainder when o(8) is divided by p(-1)?
27
Suppose 10 = 4*b + 2*x, x + x + 8 = 2*b. Let j(z) = -z - 12. Calculate the remainder when j(-17) is divided by b.
2
Suppose 0 = -2*h - 4*v, v - 8 + 5 = -2*h. Let p be 13/(-4) - h/(-8). Let l(x) = -x**3 - x**2 - 4. What is the remainder when l(p) is divided by 5?
4
Suppose 3*y + 2*u = 7*y - 76, 0 = -u - 4. Let o = 10 + -24. Calculate the remainder when (-6)/(-21) - 458/o is divided by y.
16
Suppose -3*s + 3*m + 39 = 0, 4*m = s + 8*m - 13. Calculate the remainder when 76 is divided by s.
11
Suppose -3*a + 6 = -6*a. Let q be (a + 2 - -1)*6. Calculate the remainder when 34 is divided by 6*q/3 + 0.
10
Let k(y) = 2*y**2 - 3*y + 4. What is the remainder when k(-6) is divided by 24?
22
Let p(u) = -3*u - 1. Calculate the remainder when 31 is divided by p(-3).
7
Suppose -m = 4*m - 20. Suppose m*i = -5*o - 27, -2*i + o = 5 + 12. Let l(w) = w**2 + 8*w + 4. What is the remainder when 10 is divided by l(i)?
2
Let l = -106 - -167. Calculate the remainder when l is divided by 16.
13
What is the remainder when 9 is divided by -2*10/4*-1?
4
Let o = -3 - -90. Let m = 47 + -25. What is the remainder when o is divided by m?
21
Let h be (12/14)/((-3)/(-21)). Suppose -h = -2*j - y, j - y + 5*y = 17. Calculate the remainder when 2 is divided by (-1 + 3)*j/2.
0
Let m = -9 + 12. Suppose -2*w + 13 = 5*x - 160, w - 104 = -m*x. What is the remainder when x is divided by 12?
11
Let z(y) = y**3 - 2*y**2 + 2*y - 2. Let t be z(2). Suppose t*w + 138 = 5*w. What is the remainder when w is divided by 16?
14
Suppose 122 = 4*s + 22. What is the remainder when 122 is divided by s?
22
Let p(x) = x**2 + 3*x + 2. Let m be p(5). Let l = m - 16. Suppose -5*t + t = k - l, 3*k + 4*t = 46. What is the remainder when 19 is divided by k?
9
Suppose -5*y + 70 = 5*s, 2*s + 4*y - 5*y - 37 = 0. Calculate the remainder when 48 is divided by s.
14
Suppose -4*f + 0*f = 5*k - 73, -5*f - 5*k = -95. Calculate the remainder when 64 is divided by f.
20
What is the remainder when 85 is divided by 1 - (3 + (-48)/2)?
19
Suppose 5 = 2*p - 3. Suppose -21 = -p*i + 67. Calculate the remainder when i is divided by 8.
6
Let m(t) = -t**3 - 18*t**2 - t - 6. What is the remainder when 34 is divided by m(-18)?
10
Let r(m) = m**2 - 2*m**2 + 2*m**2 + 3*m + m. What is the remainder when r(-6) is divided by 7?
5
Suppose 8 = -2*u + 14. Let d = 11 - u. What is the remainder when d is divided by 3?
2
Let q(p) = -p**3 + 3*p**2 + 5*p. Let m be q(4). Suppose 0*r = m*r - 16. Calculate the remainder when 15 is divided by r.
3
Suppose -3*u + 6*u + 8 = -2*h, h = -u - 4. Suppose u*q = -2*c + 4*q - 332, 178 = -c - q. Calculate the remainder when (2/6)/((-2)/c) is divided by 10.
9
Let n = 31 + -15. Calculate the remainder when 45 is divided by n.
13
Let h be 0/1 - 2 - 65. Let z = -38 - h. Let b = z + -18. Calculate the remainder when 20 is divided by b.
9
Let d = -1 - -4. Calculate the remainder when 5 is divided by d.
2
Suppose -4*m + 50 = m. Suppose 2*v - 8 = 4. What is the remainder when m is divided by v?
4
Suppose 2*x + 5*f = 93, -4*x - 2*f + 221 - 75 = 0. Let z = -40 - -58. What is the remainder when x is divided by z?
16
Suppose 2 - 10 = 2*b. Calculate the remainder when (14/b)/((-1)/14) is divided by 17.
15
Suppose 2*d - 8 = -2. Suppose -d*q = 2*f + 2*q - 21, 2*q = -5*f + 105. Suppose s - 5 = 7. What is the remainder when f is divided by s?
11
Let t = 59 - 34. Let a(d) = -1 + 1 - 2*d - 1. Calculate the remainder when t is divided by a(-7).
12
Suppose -3*i - 1 = -13. Suppose 3*b + 2 = -4*w + 2*w, 0 = -b + i*w + 18. What is the remainder when b is divided by 1?
0
Let c(n) be the third derivative of 7*n**5/30 + n**4/12 - n**3/6 - n**2. Let g(b) = -12*b - 7. Calculate the remainder when g(-3) is divided by c(1).
14
Let u(q) = 4*q**2 - 8*q + 8. Calculate the remainder when 58 is divided by u(3).
18
Let m = 13 + -19. Let q = 1 - m. Calculate the remainder when 19 is divided by q.
5
Let f(u) = 6*u. Let w(i) = 1. Let l(h) = -f(h) - 3*w(h). Suppose -42 + 0 = -3*o. Calculate the remainder when l(-7) is divided by o.
11
Suppose 4*q - 18 = t - 4, -q + 5 = 0. Let r(v) = v**2 - 2*v - 10. What is the remainder when 25 is divided by r(t)?
11
Let i = 154 - 57. Calculate the remainder when i is divided by 25.
22
Suppose -4*w + 16 = -3*r, -5*r + r = 16. Suppose -5*d = -1 - 4. Calculate the remainder when w is divided by d.
0
Suppose 16 = 4*f - 84. Calculate the remainder when 48 is divided by f.
23
Let z(n) = -5*n - 1. Calculate the remainder when 16 is divided by z(-2).
7
Suppose 192 = -10*f + 12*f. Calculate the remainder when f is divided by 20.
16
Let c = -1 - -8. Suppose f = 5*i - 62, 3*i - 4*f + 7*f - 30 = 0. What is the remainder when i is divided by c?
5
Let j = 39 + -99. Let f = -3 + j. What is the remainder when 19 is divided by (4/(-6))/(6/f)?
5
Let o(t) = t**2 + 22*t + 27. Let q(c) = -c**2 - 15*c - 18. Let b(y) = -5*o(y) - 7*q(y). What is the remainder when b(6) is divided by 18?
15
Suppose 0*g - r - 607 = -3*g, 0 = -4*r + 8. Calculate the remainder when g is divided by 34.
33
Let p = -12 + 16. Calculate the remainder when p is divided by 2.
0
Suppose 3*c + 16 = 4*c. Suppose -c = -3*a - 5*f + 3, -5*f = -2*a + 21. What is the remainder when 14 is divided by a?
6
Suppose -2*s + 16 = -3*y - 3*s, -20 = 2*y - 4*s. Let z = 11 + y. Suppose -4*g = 4*k - 29 - 19, 4*g - z*k = 93. What is the remainder when g is divided by 9?
8
Let t = 4 + 6. What is the remainder when 1654/22 - t/55 is divided by 19?
18
Let c = 128 + -56. Suppose -16 = 4*g - c. Calculate the remainder when 54 is divided by g.
12
Suppose -3*w = -5*r - 11, 3 = -w + 2*r + 3*r. What is the remainder when 67 is divided by w?
4
Let c(o) = 4*o**2 - 3*o - 2. Let j be c(4). Suppose 2*b + 0*b - j = 0. What is the remainder when b is divided by 9?
7
Calculate the remainder when ((-3)/6)/(7/(-462)) is divided by 18.
15
Suppose 2*h - 5*m - 36 = 0, 3*h - 12 = -2*m - m. Let q(s) = s**2 + 5*s + 1. Let v be q(-5). What is the remainder when (-3 + -43)*v/(-2) is divided by h?
7
Let b = 27 + -15. What is the remainder when 59 is divided by b?
11
Let n be (-48)/(-8) + (-1