1). Suppose -5*a = -s - 49. What is the remainder when a is divided by 13?
10
Calculate the remainder when 34*(-1 + (-21)/(-6)) is divided by 43.
42
Suppose 0 - 47 = -3*v - b, 65 = 5*v + 5*b. Calculate the remainder when v is divided by 5.
2
Let g(x) = 7*x - 23. Calculate the remainder when g(10) is divided by 12.
11
Suppose -j = -2*j + 68. Suppose 3*a - 5*a + j = 0. Calculate the remainder when a is divided by 18.
16
Suppose -7*c + 2*c + 680 = 0. Suppose -22 = -4*x - 2. Suppose -x*k = -k - c. Calculate the remainder when k is divided by 12.
10
Let q(p) = -p**2 - 6*p - 1. Let z be 1/4 - (-51)/(-12). Let v be q(z). Suppose v*g - 4*g = 15. Calculate the remainder when g is divided by 3.
2
Suppose -4*z = 9*m - 6*m - 210, -2*m = z - 50. Calculate the remainder when z is divided by 16.
6
Let q(k) = k**2 + k - 3. Calculate the remainder when q(6) is divided by 14.
11
Suppose 0*m + 4*m - 52 = 0. Let u(t) = -t + 1. Let c be u(-3). What is the remainder when m is divided by (6 - 5)*(c - -1)?
3
Let d(r) = -r - 4. Let b be d(-10). What is the remainder when 5 is divided by b/12*2*3?
2
Suppose -2*m - 14 = -m. Calculate the remainder when 6 is divided by m/(-49) + 38/14.
0
Let a(d) = -4*d**3 - 2*d**2 - d + 2. Let u be a(-2). Let y = u - 6. Calculate the remainder when y is divided by 12.
10
Calculate the remainder when (-2)/9 - ((-550)/45 + -2) is divided by 5.
4
Let z = -18 - -26. Let y be (0 - (3 - 2)) + z. Suppose 25 + y = 4*k. Calculate the remainder when 14 is divided by k.
6
What is the remainder when (5/15)/(2/(-2))*-9 is divided by 2/(2 - (2 + -2))?
0
Let r = -2 - -3. Suppose s - 2 - r = 0. Suppose -s*y - u + 49 = 0, 3*y + 4*u - 22 = 39. What is the remainder when y is divided by 4?
3
Let q = -3 - -6. Calculate the remainder when 49 - (-9)/q*1 is divided by 18.
16
Let v = 49 + 35. Calculate the remainder when v is divided by 25.
9
Suppose n - 2*n = -5. Suppose 2*q - 27 = -5*y, 8 = 4*q - n*y - 1. Calculate the remainder when q is divided by 4.
2
Let t = 141 - -21. Let y = t + -89. What is the remainder when y is divided by 25?
23
Let h = 9 + -16. Let o(f) be the first derivative of -f**3/3 - 7*f**2/2 + 6*f - 1. Calculate the remainder when 11 is divided by o(h).
5
Let z(d) = -2*d**3 + d + 1. Let h be z(-1). Suppose -h*s + 14 + 0 = 0. Let w(b) = -29*b - 55. Calculate the remainder when s is divided by w(-2).
1
Let w = 60 - 49. Calculate the remainder when 39 is divided by w.
6
Suppose 4*o + k = 3*k + 432, 0 = -3*k + 6. Suppose 3*w - t = o, 2*w - 4*t - 20 = 66. Calculate the remainder when w is divided by 12.
11
Suppose k + 11 = b - 0*b, 49 = 5*b - 3*k. What is the remainder when 12 is divided by b?
4
Let i = 55 + 4. What is the remainder when i is divided by 31?
28
Let d = 52 + 3. What is the remainder when d is divided by 14?
13
Suppose -j = -0*j - 6. What is the remainder when 19 is divided by 1*j - 6/(-6)?
5
Suppose 3 = 3*c - 0. What is the remainder when 24 is divided by -2 + c/((-1)/(-11))?
6
Suppose -2*t + 19 + 16 = 5*f, 2*t + 3*f = 29. What is the remainder when 19 is divided by t?
9
Calculate the remainder when (174/(-4))/((-54)/72) is divided by 15.
13
Let y(h) = h + 2. Suppose 5*p + 5 = -4*m - 10, -3*m = 5*p + 15. Suppose m*n + n - 6 = -v, n + 2*v = 7. Calculate the remainder when y(10) is divided by n.
2
What is the remainder when 31 is divided by 16 - (1 - -4)*(-24)/40?
12
Suppose 12*o - 15 = 9*o. Suppose -4*m + 0*m - 16 = 0, c - 21 = 5*m. Suppose 3*b + 6 - c = -u, -2*b = -u + 15. Calculate the remainder when u is divided by o.
2
Suppose -2*o - 3 + 5 = -x, 4*o = 12. Let t be -1 + -1*(x - -1). Let m = 37 - t. What is the remainder when m is divided by 15?
13
Suppose 2*x - 20 = -3*b, -x = 2*b + 3*b - 17. Let t = 6 + 3. Suppose 2*y - 2*s - 30 = 0, 4*s + t = -x. What is the remainder when y is divided by 4?
3
Let a be ((-1)/3)/(2/(-24)). Suppose -c = a*c + 20. Calculate the remainder when 8 is divided by 1/(2 - 1) - c.
3
Let f be ((-7)/(-3))/((-1)/3). Let y(h) = 2*h - 13. Let v(z) = z - 7. Let a(c) = 7*v(c) - 4*y(c). Calculate the remainder when a(f) is divided by 6.
4
Suppose 2*f - 4*f = -60. What is the remainder when f + (-2 - (-3 - 1)) is divided by 11?
10
Suppose -2*g + 5 + 1 = 0. Suppose 3*r + 23 = o, -r = 2*o + g*r - 26. What is the remainder when o is divided by 6?
5
Let v(y) = -y**2 - 3 + 3 + 8*y + 3. What is the remainder when v(4) is divided by 7?
5
Let h = -42 - -61. Let a = h - 4. Calculate the remainder when a is divided by 6.
3
Suppose o + 8 - 10 = 0. Let k = o + 2. What is the remainder when 15 is divided by k?
3
Suppose 4*m = 14*m - 560. What is the remainder when m is divided by 20?
16
Suppose 0 = 4*i, -c + 3 = -3*i + 1. Let g = 1 - 5. Let f = -2 - g. What is the remainder when c is divided by f?
0
Let l(r) = r**2 - 6*r + 7. Suppose -5*i + 3*i = 10, -3*a = i - 28. What is the remainder when a is divided by l(6)?
4
Let f(z) = 8*z**2 - z - 2. Let k = 6 + -4. Calculate the remainder when f(k) is divided by 10.
8
Suppose 4*o - 2*o + t + 1 = 0, -4*o = -5*t - 33. Calculate the remainder when (o/3)/((-10)/(-345)) is divided by 13.
10
Suppose -5*g + g = -64. Suppose -2*d + 2*h + 12 = -d, 2*h + 6 = 0. Calculate the remainder when g is divided by d.
4
Let d be 2 + (-1)/(0 - -1). Let g = d - -10. Calculate the remainder when (-2)/4*(2 + -64) is divided by g.
9
Let v be (-1)/2*7/(42/492). Let q(a) = a**3 + 5*a**2 + 6*a + 7. Let m be q(-5). Let b = m - v. What is the remainder when b is divided by 7?
4
Let t(m) = m**2 + 5. Let k be t(0). Suppose 0 = 2*z + 3*h - 4, k*z - 3*h + 7*h - 3 = 0. Let v(n) = -5*n - 1. What is the remainder when 11 is divided by v(z)?
3
Let u(w) = w**2 - 7*w + 6. Let d be u(6). Suppose q + 1 - 3 = d. Suppose -3*y + 15 = q*y. What is the remainder when 8 is divided by y?
2
Suppose g - 3*g + 30 = 0. Suppose 11*m = 2*m + 72. Calculate the remainder when g is divided by m.
7
Let o(a) = 18*a - 4. What is the remainder when o(2) is divided by -1*(-1 - 10/1)?
10
What is the remainder when (-148)/(-28) + -2 + 4/(-14) is divided by 1?
0
Let w be 64/(-7) - 6/(-42). Suppose -32 = 2*m - 3*m - 4*a, -5*m + 5*a + 35 = 0. Calculate the remainder when ((-69)/w)/(5/15) is divided by m.
11
Suppose 5*d + 0*d = 365. Calculate the remainder when d is divided by 25.
23
Let k(r) = -r**2 - 6*r. Let n be k(-6). Suppose -2*j = -d - 35, n*d = -5*j - 2*d + 83. What is the remainder when 33 is divided by j?
16
Let b be 0 - -12 - (-1 + 3). Suppose 13 = q - b. Suppose 0 = n - 3*w - 2, 0*n - 2*w = -n + 4. What is the remainder when q is divided by n?
7
Suppose 2*f + 3*f - 25 = -5*l, -2*f + l + 1 = 0. Let b(u) = u**3 + 8*u**2 + 5*u - 8. Calculate the remainder when b(-7) is divided by f.
0
Let u(j) = j**3 - j. Let w(s) = s**3 - 4*s**2 - s - 5. Let f be w(5). Suppose -2*h - c + 31 = 3, -h + f = c. What is the remainder when u(3) is divided by h?
11
Suppose 255 - 1023 = -4*y. Suppose -q - y = -2*c, -3*q - 10 = 2*q. Suppose -2*i - 25 + c = 0. Calculate the remainder when i is divided by 19.
16
Suppose 4*b - 16 = -0*b. Suppose 1 - 5 = -4*j. Let k = j + b. Calculate the remainder when k is divided by 3.
2
Let j(p) = p**2 - 7*p + 3. Let u be j(7). What is the remainder when 4/(((-3)/(-4))/u) is divided by 9?
7
Let z(x) = 13*x**2 - 1. Let n be z(1). Suppose l = -u + 9, n = 5*l + 2. What is the remainder when u is divided by 5?
2
Let j(n) = 2*n + 9. Calculate the remainder when 41 is divided by j(6).
20
Let u = 15 - 5. What is the remainder when u is divided by 7?
3
Suppose -2*l - 3*d = -132, 4*l - 94 = -3*d + 176. What is the remainder when l is divided by 24?
21
Calculate the remainder when 10/(-20)*-1*62 is divided by 8.
7
Suppose 215 = 5*h + 4*f - 339, 2*h - 5*f - 215 = 0. What is the remainder when h is divided by 16?
14
Let u(q) = -q**2 + 7*q + 4. Let z be u(8). Let p be (-6 - z) + 0/2. Let v = p - -27. Calculate the remainder when v is divided by 13.
12
Calculate the remainder when 8 is divided by 3/((9/60)/(2/10)).
0
Suppose -8 = -2*i + 2*h, -h + 41 = 5*i + 9. Calculate the remainder when (-30)/(-4)*(-8)/(-6) is divided by i.
4
Let o = 6 + 2. Let t = 32 - o. What is the remainder when t is divided by 14?
10
Calculate the remainder when (1 - -202) + -3*(-12)/9 is divided by 35.
32
Let i = 6 - -2. Let g = 14 - i. Calculate the remainder when (9