ose -n = -l*n + 6. What is the remainder when 15 is divided by n?
3
What is the remainder when 115 is divided by (35 - 6)*(1 - 0)?
28
Suppose -202 = -4*m - 38. Let r(s) = -s**2 + 11. Calculate the remainder when m is divided by r(0).
8
Let r be ((-1)/1)/((-3)/15). Suppose r*z = 267 - 2. Calculate the remainder when z is divided by 18.
17
Let i(y) = -y + 7. Let x(l) = 2*l - 15. Let j(v) = -5*i(v) - 3*x(v). Suppose 73 = 3*f - 14. What is the remainder when f is divided by j(0)?
9
Let r = -104 - -122. Calculate the remainder when 52 is divided by r.
16
Suppose -g - 10*g + 187 = 0. Calculate the remainder when 32 is divided by g.
15
Let t be 16/(-72) - 29/(-9). Suppose 4*s + 5 = -u - 1, -2*s + 2 = t*u. What is the remainder when u is divided by 1?
0
Suppose -3*x = -6 - 6, -4*r = 3*x - 24. Suppose 3*j + 2*v - 6 = 0, r*j - 4*j - 4*v = -2. Suppose -j = -3*b + 4. What is the remainder when 3 is divided by b?
1
Suppose 42 = -3*c + 111. Calculate the remainder when c is divided by 13.
10
Let z be ((-65)/(-1))/(3 - 2). Suppose -5*m + 2*r = -z, 34 + 1 = 4*m - 5*r. Calculate the remainder when m is divided by 6.
3
Let v = -2 + 9. What is the remainder when 9 is divided by v?
2
Let t(o) = 2*o**2 - o**2 - 1 - 6*o - 2. Let l be t(7). Suppose l*a - 31 - 33 = 0. What is the remainder when 30 is divided by a?
14
Suppose -3*a = 6 - 21. What is the remainder when 17 is divided by a?
2
Calculate the remainder when ((-4)/(-10))/(13/5785) is divided by 15.
13
Let g = -1 + 3. Suppose -3*a - 3*v + 69 = 0, 60 = 4*a - 6*v + g*v. Let k = a + -10. What is the remainder when 17 is divided by k?
8
Suppose -5*v + 60 = -5*d + 3*d, -3*v + 4*d = -50. Suppose 3*r - 261 = -0*r. Suppose -4*i = -i - r. What is the remainder when i is divided by v?
9
Suppose 28 = 11*h - 5. Calculate the remainder when 13 is divided by h.
1
Let y(w) = 6*w**2 + w - 4. Calculate the remainder when 36 is divided by y(2).
14
Let r(j) = -j + 18. What is the remainder when r(-5) is divided by 9?
5
Let m(c) = c + 1. Let d(j) = 4*j + 15. Let x be (9/3 - -2) + 1. Let t(y) = x*m(y) - d(y). What is the remainder when 13 is divided by t(8)?
6
Suppose -25 = -4*r + 3*p + 2, -24 = -4*r + 4*p. Let k(t) = -t**2 - 16*t - 15. What is the remainder when k(-13) is divided by r?
6
Let z = 24 + 12. What is the remainder when z is divided by 25?
11
Suppose 4 - 20 = -2*r. Calculate the remainder when 24 is divided by r.
0
Suppose -5*p = -t + 25, -4*t + 4*p - 15 = -51. Suppose t*j = 36 - 106. Let n = -4 - j. What is the remainder when 17 is divided by n?
7
Let q(w) = 7*w + 18. What is the remainder when q(7) is divided by 17?
16
Let p be 119/(-3) + (-2)/6. Let l = p + 59. What is the remainder when l is divided by 11?
8
Let v(l) = -l**3 - 2*l**2 + 7*l. Suppose 4 - 12 = -i. What is the remainder when v(-5) is divided by 110/8 + 2/i?
12
Suppose -s + 3 = 4, 3*v + 5*s - 1 = 0. Suppose 0 = p + v - 5. Calculate the remainder when 8 is divided by p.
2
Let g(r) = -r + 11. What is the remainder when g(-4) is divided by 1?
0
What is the remainder when (32/(-5))/(2/(-10)) is divided by 17?
15
Let q(p) be the second derivative of -p**3/6 - 4*p**2 - 2*p. Let u = -30 + 20. Calculate the remainder when 3 is divided by q(u).
1
Let w be (-3 - 5/(-2))*-44. Let d = w - 8. Let a = d + 6. What is the remainder when 39 is divided by a?
19
Suppose y = -4*y + 5. Let d = -14 - -16. Suppose d*o - 9 + y = 0. What is the remainder when o is divided by 2?
0
Let l = 103 + -97. Calculate the remainder when l is divided by 3.
0
Calculate the remainder when (-1)/((-6)/(-122)*(-3)/9) is divided by 22.
17
Let u be 8/(-6)*(-21)/14. Let o = u + 0. Calculate the remainder when 7 is divided by o.
1
Suppose -8*h - 10 = -9*h. Calculate the remainder when 57 is divided by h.
7
Suppose 5*x + 2*r - 52 = 0, -3*x = -4*x + r + 16. Calculate the remainder when x is divided by 5.
2
Let z be ((-19)/3)/1*3. Let c = z - -27. Suppose 5*b - t - 75 = 0, 60 = -0*b + 4*b + 3*t. Calculate the remainder when b is divided by c.
7
Suppose -12 = -0*a - 2*a. Calculate the remainder when (-285)/10*(-8)/a is divided by 10.
8
Let i(m) = -m + 24. What is the remainder when i(13) is divided by 5?
1
Suppose 3*t - 2*t + 511 = 5*n, 2*n + 4*t = 200. Calculate the remainder when n is divided by 22.
14
Let y(z) = z**2 + 2*z - 1. Let k be y(-5). Suppose k = -4*v + 5*v. What is the remainder when 41 is divided by v?
13
Let y(z) = z**3 - 9*z**2 + z - 2. Calculate the remainder when 27 is divided by y(9).
6
Let u be 3 - (-2 + 3)*-377. Suppose -2*m - u = -4*p + 4, 2*m = -8. Calculate the remainder when p is divided by 24.
22
Suppose 0 = -4*b - 12, 3*b = 4*r + 5*b - 66. What is the remainder when 86 is divided by r?
14
Let p(b) = -b - 4. Let o be p(-7). What is the remainder when (156/(-18))/((-2)/o) is divided by 8?
5
Suppose r - 39 = i, 3*i = -r - 2*r + 99. Suppose 2*m - 94 = -4*y, 0*m + 2*m + r = y. What is the remainder when y is divided by 9?
8
Suppose 81*y - 66 = 78*y. What is the remainder when y is divided by 6?
4
Suppose 5*c = 21 + 54. Calculate the remainder when 27 is divided by c.
12
Let s = 263 + -138. Suppose 4*c - s = 87. What is the remainder when c is divided by 18?
17
Let c = 50 + -48. Calculate the remainder when 4 is divided by c.
0
Suppose -60 = -7*o + 3*o. Suppose 15 = 5*q + 2*l - 7*l, 5*l + 15 = 0. Suppose -3*d + 15 + 9 = q. What is the remainder when o is divided by d?
7
Let j = -1 - 0. Let y be (1 + j)/(-3) + 2. Suppose -y + 6 = 2*m. What is the remainder when 4 is divided by m?
0
Suppose 0*x - 3*x = 0. Suppose -6*g - 168 = -2*g + 5*y, g - 3*y + 42 = x. Let a = g + 79. What is the remainder when a is divided by 19?
18
Suppose 10*p = 5*p, 0 = -3*d + 5*p + 45. Calculate the remainder when 57 is divided by d.
12
Let p(r) be the second derivative of 16*r**3/3 - r**2/2 - r. What is the remainder when p(1) is divided by 11?
9
Suppose 0*r - 3*r = 234. Let o(p) = -p**2 - 8*p + 8. What is the remainder when (r/(-5))/((-10)/(-25)) is divided by o(-6)?
19
Suppose 0 = 34*d - 40*d + 72. What is the remainder when 41 is divided by d?
5
Let x = 21 + -7. Let a be (-1)/(-3) - 242/6. Let z = 66 + a. Calculate the remainder when z is divided by x.
12
Suppose -4*k + 131 = -4*j + 43, j - 50 = -3*k. Suppose -5*m + k = -42. Calculate the remainder when 46 is divided by m.
10
Suppose 6*f - 2*f = m - 272, 0 = -5*f - 2*m - 327. Let u = f - -95. Calculate the remainder when 82 is divided by u.
26
Suppose -3*m - 5*c = 9, -5*c - 6 = 4*m + 1. Suppose m*o - 3 = o. Let y(q) = q - 1. What is the remainder when 4 is divided by y(o)?
0
Let w(n) = 4*n**2 - n. Suppose 5*g + 5*x + 10 = 0, 0 = -5*g + 2*x - 5 + 2. Calculate the remainder when 17 is divided by w(g).
2
Let r = 4 + -10. Suppose 5*o - 2*w + 3*w = 27, -10 = -4*o + 5*w. Calculate the remainder when ((-27)/r)/((-2)/(-4)) is divided by o.
4
Let g(q) = 4*q - 7. What is the remainder when g(3) is divided by 1?
0
Let s = 93 + 47. Suppose 2*j + 40 = 4*k - 3*k, -s = -3*k + 2*j. What is the remainder when k is divided by 13?
11
Let x be (-6)/(-27) - (-1010)/(-9). Let v = -65 - x. Calculate the remainder when v is divided by 2/(-6) + 245/15.
15
Suppose 0 = -0*t - 3*t + 48. Suppose 2*x = x + t. Calculate the remainder when (2/4)/(8/480) is divided by x.
14
Let a = 5 - 2. Suppose 0 = -3*d + a*y + 45, -d + 5*y = 3*y - 13. What is the remainder when d is divided by 6?
5
Suppose b = 2*b - 13. Let g(m) = 2*m - 2. Let v be g(2). Suppose -3*q = -5*j - 111, v*q - 3*q - 4*j + 37 = 0. What is the remainder when q is divided by b?
11
What is the remainder when (1 - 2)/((-5)/115) is divided by 13?
10
Suppose -3*c + 0*y + 74 = -2*y, 3*c - 70 = y. What is the remainder when c is divided by 9?
4
Let x(w) = w + 1. Let l(q) = -q**3 - 2*q**2 - 2*q + 1. Let j be l(-2). Suppose 5 + 35 = j*n. Calculate the remainder when 25 is divided by x(n).
7
Let d(f) = -f**2 + 2*f. Let q be d(2). Suppose -13*c + 18*c - 75 = q. Calculate the remainder when c is divided by 9.
6
Suppose 472 = 59*v - 55*v. Calculate the remainder when v is divided by 62.
56
Let v(a) be the second derivative of -a**5/20 + a**4/3 + 5*a**3/6 - 3*a**2 - 4*a. Calculate the remainder when v(4) is divided by 8.
6
Suppose 3*u + 0*u + 39 = 0. What is the remainder when (u/(-3))/((-4)/(-12)) is divided by 5?
3
Let a be -6 - (-1