g + 1 = 0. Suppose 5*i + 65 = 5*u, -p*u + 23 = -2*u - 5*i. Let s = u + -7. Calculate the remainder when s is divided by 3.
1
Let c(d) = -d**3 + 3*d**2 + d + 5. What is the remainder when 37 is divided by c(3)?
5
Suppose 48 + 42 = 5*m. What is the remainder when 35 is divided by m?
17
Suppose 4*f + 9 = 7*f. Suppose 4*o - 20 = d + d, 2*o - 4*d + 2 = 0. What is the remainder when o is divided by f?
1
Suppose -8 - 2 = t. Calculate the remainder when 7 is divided by (3/5)/((-2)/t).
1
Suppose -4*z - y + 42 = 0, 2*y - y - 53 = -5*z. Suppose -z - 1 = -4*u + r, 2*r + 12 = 2*u. What is the remainder when u is divided by 2?
0
Let b(z) = 6*z**2 - z. Calculate the remainder when 2/(-6) + 129/9 is divided by b(1).
4
Suppose -5*y + 4*z + 162 = 0, 50 = 3*y - 3*z - 46. Calculate the remainder when y is divided by 12.
10
Suppose 18 = p + 3*n + 1, -p = -3*n + 1. Suppose -3*j - 6 = 6. Calculate the remainder when 10/(j/(-6)*1) is divided by p.
7
Suppose 2*w + 10 = 0, 0*y = -3*y + w + 47. What is the remainder when y is divided by (-4)/18 - 94/(-18)?
4
Let o = 16 + -7. Suppose 0*m + o = 3*m. Calculate the remainder when 6 is divided by m.
0
Suppose 3*o = -5*u + 91, o - 3*u + 0*u = 7. What is the remainder when ((-8)/6 - 1)/(40/(-1080)) is divided by o?
19
Suppose 5*z - 15 = -5. Let b(u) = 2*u - 2*u**2 + 0*u + 0*u**3 + u**3. What is the remainder when 6 is divided by b(z)?
2
Suppose 6*j - 5*w + 37 = 7*j, -4 = 4*w. Suppose 8*m - 5*m - j = 0. Calculate the remainder when 54 is divided by m.
12
Suppose 4*d - 53 = 5*x + 58, 4*d + 2*x - 118 = 0. Let b = 44 + -36. What is the remainder when d is divided by b?
5
Suppose 9*b = 107 - 8. What is the remainder when 120 is divided by b?
10
Suppose -2*g + 208 + 60 = 4*z, 4*g - 128 = -2*z. Let j = -40 + z. Calculate the remainder when j is divided by 15.
13
Let n(d) = -d**2 - 2*d + 5. Let c be n(-4). Let i be 20/c*(-9)/3. What is the remainder when 18 is divided by (2/4)/(1/i)?
8
Suppose -7*u - 70 = -2*u. Calculate the remainder when 5 is divided by (-62)/u - 15/35.
1
Let m(i) = i**2 + 2*i - 6. What is the remainder when 9 is divided by m(-5)?
0
Let t(v) = v**3 + 3*v**2 - 5*v + 3. What is the remainder when 11 is divided by t(-4)?
4
Let h(q) = q**3 + 18*q**2 + 16*q. Suppose -54 + 18 = -4*a. Calculate the remainder when h(-17) is divided by a.
8
Suppose -6*a + 76 + 2 = 0. What is the remainder when a is divided by 5?
3
Suppose -5*o + 4*y + 75 = 0, 5*o + 3*y - 52 = 23. Let b = o - 3. What is the remainder when 339/15 + (-4)/(-10) is divided by b?
11
Let s = -39 - -72. Suppose r + s = 2*r. Let n = -22 + r. Calculate the remainder when 32 is divided by n.
10
Suppose 0 = -4*t + 13 + 7. Let y be 29 - ((t - 3) + -1). Suppose -v = -3*x + 43, -x + y = -2*v + 12. What is the remainder when 54 is divided by x?
12
Suppose -368 = -7*r - 9*r. What is the remainder when 28 is divided by r?
5
Let v(h) = 2*h - 1. Let b be v(1). Let m be 28/(-3) + b/3. Calculate the remainder when ((-54)/4)/(m/24) is divided by 19.
17
Let u = 44 - 21. Calculate the remainder when 44 is divided by u.
21
Let u = -103 - -153. What is the remainder when u is divided by 17?
16
Suppose 0 = -3*a, 4*u - 31 = -2*a + 17. Let t be 5/15*(-140 - 1). Let g = -25 - t. Calculate the remainder when g is divided by u.
10
Let p(l) be the first derivative of -l**2 + 2*l - 1. What is the remainder when ((-3)/6)/(2/(-88)) is divided by p(-5)?
10
Let f(i) = -4*i**2 - 2*i + 1. Let s be f(1). Let v = s - -10. Calculate the remainder when 19 is divided by v.
4
What is the remainder when 99 is divided by (-3)/(-2)*136/6?
31
Calculate the remainder when 34 is divided by 78/8 - 45/60.
7
Suppose -5*a = 4*k - 10*a - 117, 0 = 5*k - 4*a - 135. Suppose -52 = d - 5*d. Calculate the remainder when k is divided by d.
10
Let r(w) = 8*w - 2. Let y be r(1). Suppose 5*h = 4*o + y, 0 = -2*h - o + 5. Calculate the remainder when 8 is divided by h.
0
Suppose -3*q = 5*g - 12, 0 = 2*q - 4*g - 50 + 20. What is the remainder when 42 is divided by q?
6
Let y(c) = 11*c**2 + 1 + 2*c + 1 - 3. Suppose 26 = -h + 61. What is the remainder when h is divided by y(1)?
11
Let h = 15 + -7. Calculate the remainder when h is divided by 3.
2
Let p(h) = 17*h - 7. Let a(f) = -f**2 + 6*f - 6. Let m be a(3). Calculate the remainder when p(m) is divided by 23.
21
Let z be ((-3)/5)/(2/(-10)). Suppose -3*c = -m + c + 16, -3*c = 5*m - 57. What is the remainder when (4/(-6) - z)*-6 is divided by m?
10
Let h(k) = k - 6. Let u = 8 - 4. Suppose u*v = 5*b - 2, -3*b + 2*v = -b. Calculate the remainder when h(10) is divided by b.
0
Let a(s) be the second derivative of 3*s**3/2 + 4*s. Suppose 0 = 2*k + k - 3. What is the remainder when 34 is divided by a(k)?
7
Suppose -76 = 3*i + 11. Let n = i + 50. Calculate the remainder when n is divided by 11.
10
Suppose 0 = 2*y - 8 - 6. Let s = -4 + y. Suppose -s*i + 36 = i. Calculate the remainder when 16 is divided by i.
7
Let d(c) = -2*c - 11. Calculate the remainder when d(-28) is divided by 4.
1
Let o be 180/7 + 4/14. Suppose -2*u + 36 = 2*v, v - o = -2*u + 5*u. What is the remainder when 39 is divided by v?
19
Let r(q) = -7*q**3 - 2. Let c be (1 - 0)*(0 - 2). Calculate the remainder when r(c) is divided by 19.
16
Suppose -3*b - 10 = 2*b. Let j be 48/15 - b/(-10). Suppose 4*i = -3*r - i + 79, -52 = -2*r - j*i. Calculate the remainder when r is divided by 12.
11
What is the remainder when 13 is divided by 20/4 - (-2)/(-2)?
1
Suppose l = -l + 26. What is the remainder when 23 is divided by l?
10
Let d(x) = x + 4. Let w be d(-4). What is the remainder when 17 is divided by 2 - w - (-6 + 3)?
2
Suppose 202 - 34 = 6*b. What is the remainder when 53 is divided by b?
25
Let g(z) = -4*z + z**2 + 6*z + 2*z + 0*z - 8. Let a be (-14)/(-2)*(-12)/14. Calculate the remainder when 7 is divided by g(a).
3
Suppose -4*c = -5*l - 24, 0 = -2*c - 3*c + 2*l + 47. What is the remainder when 64 is divided by c?
9
Let o = -27 - -40. Calculate the remainder when 24 is divided by o.
11
Suppose 5*c = -5*x + 35, -2*c - 47 = -5*x - 3*c. Suppose 0 = -5*v - x, -10 + 135 = 5*b + 5*v. What is the remainder when b is divided by 14?
13
Let l(g) = -g**3 - g**2 + g - 4. Let r be l(0). What is the remainder when 29 is divided by (-43)/r + 9/(-12)?
9
Let o(u) = -7*u**3 + 12*u**2 + 6*u - 11. Let t(a) = -4*a**3 + 6*a**2 + 3*a - 6. Let l(p) = 3*o(p) - 5*t(p). What is the remainder when l(5) is divided by 8?
5
Suppose -69 = -x + 29. What is the remainder when x is divided by 20?
18
Let x(v) be the third derivative of v**6/30 - v**5/60 + v**4/24 + v**3/6 - 4*v**2. Calculate the remainder when x(2) is divided by 11.
9
Suppose -3 = 5*q - 28. What is the remainder when q/(-20) + 178/8 is divided by 12?
10
Suppose 3*u + 2*u = 3*a + 33, -2*u = 2*a - 26. Suppose 5*h + 3*l = 174, 5*h - 138 = h - 2*l. Calculate the remainder when h is divided by u.
6
Let k(b) = -b - 5. What is the remainder when 11 is divided by k(-9)?
3
Let p(x) = 2*x**2. Let n = -4 + 5. Let b be p(n). Calculate the remainder when b/(-6) + (-97)/(-3) is divided by 11.
10
Suppose 0 = 2*d - 11 + 3. Suppose -2*h + 152 = 3*u, 0 = -h + u + d*u + 63. Calculate the remainder when h is divided by 19.
16
Let p be 34/8 + (-3)/12. Suppose p*u - 35 = -u. What is the remainder when 4/10 - 315/(-25) is divided by u?
6
Suppose -z - 27 = -4*z. Suppose 10*o - 9*o = 17. What is the remainder when o is divided by z?
8
Let x(h) = -h**3 + 5*h**2 - 3*h + 4. Let i(s) = s - 4. Let l be i(8). What is the remainder when 22 is divided by x(l)?
6
Calculate the remainder when 17 is divided by (-15)/(4/(-8)*3).
7
Let l(a) = a**3 + 2*a**2 + 9*a - 5. Calculate the remainder when l(3) is divided by 26.
15
Suppose 4*r = -3*o + 5*r - 6, o + 2 = 5*r. Let d = 5 - o. What is the remainder when 20 is divided by d?
6
Let k = -13 - -40. What is the remainder when 52 is divided by k?
25
Let r be (-2 + (-2)/(-1))*-1. Let l be (-2)/(-3)*6/(-4). What is the remainder when 54 + (-2 - (l + r)) is divided by 18?
17
Suppose 6 + 28 = 2*u. Calculate the remainder when 50 is divided by u.
16
Let d = -37 - -44. Suppose -6*r + 52 = -2*r. What is the remainder when r is divided by d?
6
Let y be 1/4 - (-38)/8. Suppose y*k - d + 11 = 80, 0 = -4*k + 4*d + 68. Let h = -6 - -31. What is the remainder when h is divided by k?
12
Let d = 1