, a - 15 = 8*s - 5*s. Calculate the remainder when 87 is divided by a.
12
Suppose 5*l - 38 - 107 = 0. Suppose 4*q + l - 219 = -3*g, 2*g + 4*q - 128 = 0. What is the remainder when g is divided by 21?
20
Suppose 21 = 3*f - 3*b - 0*b, 2*b - 4 = -4*f. Suppose -f*z + 4*z = 4*x, -3*x = -3*z + 9. What is the remainder when 10 is divided by z?
2
Suppose 3*g + 168 = 7*g. What is the remainder when g is divided by 15?
12
Suppose 51 - 193 = -2*b. Let r = -40 + 59. Calculate the remainder when b is divided by r.
14
Suppose 5*j = -2*p + 9, 4*j - 15 = 4*p - 3*p. What is the remainder when ((-20)/3)/(10/(-15)) is divided by j?
1
Suppose -9*o - 56 = -515. What is the remainder when o is divided by 9?
6
Suppose 0 = -u - 2*m + 18, -3*m - 51 = -8*u + 3*u. Let s be u/(-16) + (-6)/(-8). Calculate the remainder when 3 is divided by s - (1 + 9/(-3)).
1
Let y = -15 - -31. Let j(x) be the third derivative of -x**4/24 + 5*x**3 + 2*x**2. Calculate the remainder when j(0) is divided by y.
14
Suppose -3*s - 2*s = -3*x - 15, 5*x - 49 = -4*s. What is the remainder when 17 is divided by s?
5
Let r be (3 + 0 + -2)*-1. Let k be r/((-1)/75) - -1. Suppose -5*z + k = -z. What is the remainder when 56 is divided by z?
18
Let v(c) = -18*c - 15. Calculate the remainder when v(-7) is divided by 38.
35
Let t(a) = 2*a**2 - 3*a + 2. What is the remainder when 278 is divided by t(6)?
54
Suppose h + 6 - 65 = 0. What is the remainder when h is divided by 10?
9
Suppose n - 6*n - 5 = 0. Let o(a) = -2*a. Let b be o(n). Suppose -2*i + b*h - 4*h = -18, -5*i - 4*h + 45 = 0. What is the remainder when 25 is divided by i?
7
Suppose 0 - 10 = -h. Suppose s - 24 = -5. Calculate the remainder when s is divided by h.
9
Let s(k) = -33*k - 25. Calculate the remainder when s(-2) is divided by 7.
6
Suppose 3 - 12 = -3*j. What is the remainder when -2 + j/3 + 8 is divided by 4?
3
Suppose -4*j + w - 17 = 2*w, w = j + 3. Calculate the remainder when 3 - (3 + j)*7 is divided by 4.
2
Suppose -i + 6 = -40. What is the remainder when i is divided by 18 + 3/(-3) + -1?
14
Let p be (-8 + 4 + 8)/2. Suppose y = p*b - 3 - 16, -y + 17 = b. Calculate the remainder when 71 is divided by b.
11
What is the remainder when 15 is divided by (24/(-14))/(14/(-49))?
3
Let a = 58 + -11. Calculate the remainder when a is divided by 25.
22
Let t = -11 - -12. Let y = 10 - t. What is the remainder when 25 is divided by y?
7
Let h = -4 + 21. What is the remainder when 32 is divided by h?
15
What is the remainder when -2 - 4/((-4)/53) is divided by 13?
12
Let q(g) be the second derivative of g**4/12 + 7*g**3/3 + 9*g**2 + g. What is the remainder when 12 is divided by q(-13)?
2
Let y = 22 + -9. Calculate the remainder when 51 is divided by y.
12
Suppose 2 = -a + 4. Suppose -3 = i, -k - a*i + 150 = 3*k. Let r = -176 - -186. Calculate the remainder when k is divided by r.
9
Let a = -7 + 13. Suppose 5*h - 2*h = a. What is the remainder when 5 is divided by h?
1
Suppose -2*y = -18 - 8. Suppose 7*z - 8*z = -7. What is the remainder when y is divided by z?
6
Suppose k + 1296 = 5*k. Suppose -k = -4*g + 4*y, -11 = g + y - 86. What is the remainder when g is divided by 27?
24
Let w(k) = 2*k**2 - 4*k + 3. Let h(p) = -3*p**2 + 6*p - 5. Let r(o) = -5*h(o) - 7*w(o). What is the remainder when 23 is divided by r(4)?
11
Let u be ((-6)/15)/(1/(-10)). Suppose -u*n + 13 = -79. Calculate the remainder when n is divided by 6.
5
Let v(m) = 4*m**3 + 5*m**2 - 2*m + 3. Let z(x) = x**3 - x - 1. Let g(c) = -v(c) + 5*z(c). Let w = -5 + 11. Calculate the remainder when 19 is divided by g(w).
9
Let z(v) be the first derivative of v**2/2 + 3*v + 1. Suppose 3*o = -r + 13, o - 20 = -4*o. Calculate the remainder when z(-2) is divided by r.
0
Let b(x) = x**2 + 2*x + 5. Let p = -11 - -36. Calculate the remainder when p is divided by b(-4).
12
Let f be (1 + 1)/(12/102). Let x = f + 6. Suppose -32 = -i - 24. Calculate the remainder when x is divided by i.
7
Let m = -55 - -94. Calculate the remainder when m is divided by 10.
9
Suppose 0 = -u - 6*u + 182. What is the remainder when u is divided by (2 - 1)/((-1)/(-9))?
8
Let z(s) = 3*s**2 - 1. What is the remainder when 42 is divided by z(-2)?
9
Suppose -a = -3*r + 2, 5*a + 2*r - 28 = -2*r. Suppose 0 = 2*q - u - 32, -a*q - u + 0*u = -58. Calculate the remainder when 29 is divided by q.
14
Suppose 0 = 6*r - 5*r - 123. Calculate the remainder when r is divided by 31.
30
Suppose -12 = -0*f - 4*f + 4*i, 0 = -f + 4*i + 6. Suppose f*q + 2 = 8. What is the remainder when 5 is divided by q?
2
Suppose -3*j + 0*h - 13 = -h, -4*j + 5*h + 1 = 0. What is the remainder when ((-4)/6)/(j/333) is divided by 20?
17
Let h(v) = -v - 2. What is the remainder when 69 is divided by h(-10)?
5
Suppose -6 = -5*m + 14. Let x be 1*3 + m/4. Suppose 56 = 4*w + b, -3*w + x*w - 2*b - 5 = 0. Calculate the remainder when 38 is divided by w.
12
Let h be (1 + 2)*(-5 - -7). What is the remainder when 39 is divided by (-2)/((-4)/h) - -17?
19
Let k = -2 - -2. Suppose k = 2*g - 4, 2*s + s = -2*g + 106. Calculate the remainder when s is divided by 12.
10
Suppose -2*i + 3*v + 2 = 0, 4*v = -4*i - 0 - 16. Let f = 0 + -3. What is the remainder when 25 is divided by (-25)/f - i/3?
7
Suppose -y + 3*k = -58, 2*y + k + 3*k = 116. What is the remainder when y is divided by 20?
18
Let f = 4 + -7. Let l be ((-2)/f)/(4/402). Suppose 13 = 4*p - l. What is the remainder when p is divided by 11?
9
Let q = -105 - -250. Suppose -h - 91 = -4*u, -u - 5*h + q = 4*u. Suppose u + 46 = 2*y. Calculate the remainder when y is divided by 12.
11
Let n(o) = -o**3 - 11*o**2 + 7*o - 38. Calculate the remainder when n(-12) is divided by 4.
2
Suppose 5*q = 3*q - 2. Let g(h) = 2*h**2 - 2*h - 1. Suppose -8*w + 120 = 7*w. What is the remainder when w is divided by g(q)?
2
Let t(o) = o**2 - 14*o + 29. Let k be 4/(-10)*5*-1. Let w(y) = 3*y - 3. What is the remainder when t(12) is divided by w(k)?
2
Let x(j) = -2*j**3 - 15*j**2 - 9*j - 3. Suppose -q = q - 36. What is the remainder when q is divided by x(-7)?
7
Suppose -3*a - 8 = y, -y = -0*y - 4*a - 13. Calculate the remainder when 8 + -12 + (-6)/(-1) is divided by y.
0
Suppose 3 = -c + 24. Calculate the remainder when 61 is divided by c.
19
Suppose -5*h = 286 - 361. Calculate the remainder when 102 is divided by h.
12
Let y(s) = s**2 - 6*s + 5. Suppose -3*h + 4*d + 166 = -5*h, 0 = 2*h - 3*d + 145. Let c = -55 - h. What is the remainder when c is divided by y(7)?
10
Let m = -34 - -51. What is the remainder when 28 is divided by m?
11
Let s = -171 - -343. What is the remainder when s is divided by 44?
40
Let i be (-2)/(-3)*60/8. Suppose 3*u - 289 = -2*u + t, i*t - 265 = -5*u. Calculate the remainder when u is divided by 15.
12
Suppose -156*a + 159*a - 78 = 0. What is the remainder when a is divided by 8?
2
Suppose 5*m = 3*m - 2*o + 2, 0 = -5*m - 3*o + 7. Suppose -5*z - q + 28 = 0, 4*z - 5*q - 5 = -0. Let n = -3 + z. What is the remainder when m is divided by n?
0
Suppose -5*c + 28 = -22. What is the remainder when c is divided by 7?
3
Let w = 0 + 4. Suppose 2*x = -j + 24, -w*x + 2*j - 5*j = -52. What is the remainder when x is divided by 3?
1
Let i = 8 + -5. What is the remainder when 75/10 - 2/(-4) is divided by i?
2
Let t(u) = u**2 - 9*u - 1. Let w be t(9). Calculate the remainder when (-15)/w - (0 - -3) is divided by 7.
5
Let f(n) = 8*n + 4*n**3 - 4*n + 0*n**3 - 4*n**2 + 2*n**3 - 3. What is the remainder when f(2) is divided by (-2)/(-5) + 63/5?
11
Suppose 17 = 3*s - 2*x, 2*x + 2*x - 16 = -4*s. What is the remainder when 206/8 + 2/8 is divided by (-9)/(-2)*10/s?
8
Suppose p - 17 = 28. What is the remainder when p is divided by 12?
9
Suppose -5 = -4*j + 123. Calculate the remainder when j is divided by 11.
10
Suppose -2*u + 4 - 29 = -h, -2*h - 58 = 5*u. What is the remainder when 3 is divided by 5/(-2)*u/10?
0
Suppose u - 3 - 2 = 0. Let r = 19 - 11. What is the remainder when r is divided by u?
3
Let o(j) = -3*j**3 - j**2 + j - 1. Calculate the remainder when (-4)/(-6)*198/4 is divided by o(-2).
16
Suppose -4*n = -3 - 25. Calculate the remainder when 27 is divided by n.
6
Suppose -4*w = 20, -35 = -5*y - 2*w + 20. Let v = -2 - -2. Let i(f) = f**3 + f**2 - f + 37. Calculate the remainder when i(v) is divided by y.
11
Let s = 260 + -103. Calculate th