. Suppose -55 = -2*p - 3*v, m*p + v = 89 + 6. Let d = p + -15. What is the remainder when d is divided by 3?
2
Let o = 104 + -69. Calculate the remainder when o is divided by 19.
16
Let p(w) = -w**2 + 13*w - 4. What is the remainder when 13 is divided by p(12)?
5
Let v(z) be the third derivative of z**4/8 - 3*z**3/2 - z**2. Let x(d) = 2*d**2 - 1. Let w be x(-2). What is the remainder when 22 is divided by v(w)?
10
What is the remainder when 42 is divided by (-7 + -15)/(0 + -1)?
20
Suppose 1 + 0 = -b, -4*b = 2*i - 14. Let a(y) = 2*y**3 - 15*y**2 - 5*y + 10. Calculate the remainder when a(8) is divided by i.
7
What is the remainder when 18/(-4)*(-3 - -1) is divided by -2 + 8 + -2 + 1?
4
Let g = 14 + -7. Calculate the remainder when g is divided by 2/(40/15 + -2).
1
Let f(t) = 2*t + 8. What is the remainder when f(-1) is divided by 5?
1
Let v = -70 + 91. What is the remainder when v is divided by 11?
10
Suppose -2*s - 4 = 4*f, -2*f + 2*s + 2*s = 22. Let o be -1 - (f/(-1) - 1). What is the remainder when o/(-2)*(-8)/(-3) is divided by 2?
0
Suppose -2*n = -4*l - 122, -n - 2*l = -3*l - 60. Suppose -5*y = -n - 111. Calculate the remainder when y is divided by 9.
7
Let m(s) = s**2 - 6. Let b be m(8). Suppose -2*n - 4*y + b = -2*y, -86 = -2*n + 5*y. Calculate the remainder when n is divided by 12.
9
Let v(i) = 3*i + 6. What is the remainder when 58 is divided by v(3)?
13
Let h = 24 - 18. Calculate the remainder when h is divided by 2.
0
Let m be (-4 + 20)/(3 + -1). Suppose c = 4*c + a - m, -1 = a. What is the remainder when c is divided by 2?
1
Let v be (-2)/(-2) + 5 + -1. Let p be 2/8*2*4. Suppose v*s - 4*s - p = 0. Calculate the remainder when 4 is divided by s.
0
Suppose -2*b = -5*u - 8, -u + 2 = -b - 3*b. What is the remainder when 20 is divided by (-21)/u - (-3)/6?
9
Let t(k) = -15 + k**2 + k + 7 + 3*k. Let r(o) = o**2 - 11*o + 17. Calculate the remainder when t(-7) is divided by r(10).
6
Let x(b) = 8*b**2 + 2*b + 1. Suppose -4*r - 7 + 15 = 0. Suppose 0*h - 13 = -h. What is the remainder when x(r) is divided by h?
11
Let i = 7 + -3. Suppose -i*s + 92 = -0*s. What is the remainder when s is divided by 12?
11
Let o(h) = -h**3 + 4*h**2 - 2*h - 1. Let f be o(2). Let x(l) = 2*l**2 + 2*l + 3. Suppose -70 = -6*a + 14. Calculate the remainder when x(f) is divided by a.
13
Let j(q) = -2*q - q + 1 + q - 3*q. What is the remainder when j(-2) is divided by 3?
2
Let q(b) = b**3 + 12*b**2 - 4*b - 17. Suppose -2*p - 2*l = 15 + 3, -2*p - 3*l - 15 = 0. Calculate the remainder when q(p) is divided by 16.
15
Let b(n) = 11*n - 4. Let k be b(7). Let d = k + -36. Let g(l) = -l**3 + 5*l**2 + 7*l + 7. Calculate the remainder when d is divided by g(6).
11
Let o = 129 - 82. Let h = o + -24. Calculate the remainder when h is divided by 12.
11
Let j(k) = k**2 + 3*k - 9. Let w(s) = s**2 + 3*s - 8. Let n(l) = -4*j(l) + 5*w(l). What is the remainder when 9 is divided by n(-5)?
3
Let f = -2 - -8. Suppose 4*c = f*c - 40. What is the remainder when c is divided by 11?
9
Let t = 10 - 4. What is the remainder when 9 is divided by t?
3
Let a(h) = h**2 + 3*h + 4. Let d be a(-4). Let b be (-5 + d)/(6/80). What is the remainder when b + (4/(-2) - -2) is divided by 14?
12
Let b = -63 + 99. What is the remainder when b is divided by 13?
10
Let t = 78 - -17. Suppose -3*w = -9*w + 2202. Suppose 4*b - w + t = 0. What is the remainder when b is divided by 23?
22
What is the remainder when 162 is divided by (-32)/(-2) - (1 + -1) - 1?
12
Calculate the remainder when (-3 - -6*1/2) + 47 is divided by 19.
9
Let c be 2 - (669/(-3) - 1). Suppose -5*n = -c + 1. Calculate the remainder when n is divided by 16.
13
Suppose -4*g + 14 = -42. What is the remainder when 52 is divided by g?
10
Let l be -3 + -6*(2 - 0). Let p = l + 27. What is the remainder when p is divided by 8?
4
Calculate the remainder when ((-189)/14)/(3/(-18)) is divided by 21.
18
Suppose 0 = -5*j - f + 526, 0 = 3*j + 2*f - 6*f - 311. Calculate the remainder when j is divided by 18.
15
Let b(q) = -2*q - 10. Suppose 3*g + g = -16. Let d = 11 + g. What is the remainder when b(-11) is divided by d?
5
Suppose -3*n + 161 = 4*l, 3*l - 4*n = 41 + 111. What is the remainder when 129 is divided by l?
41
Suppose 0 = -l + r + 2 + 1, 0 = -3*l + r + 13. Suppose 3*k = l*k - 30. What is the remainder when k is divided by 4?
3
Suppose 7*k - 218 = 3*k - c, 2*k - 4*c = 100. Calculate the remainder when k is divided by 19.
16
Let c(p) = -p**2 - 8*p + 6. Calculate the remainder when 22 is divided by c(-8).
4
Let z(l) = -l**3 + 7*l**2 - 3*l - 6. What is the remainder when 33 is divided by z(6)?
9
Suppose 0 = -4*l - 0*l + 12. Suppose -1 + l = -m. Let y = m - -3. What is the remainder when 1 is divided by y?
0
Let r(q) = -2 + 6*q - q + 0*q - q. Calculate the remainder when 40 is divided by r(4).
12
Suppose -k = p - 12, 0 = -k + 3*p + p - 13. Suppose -k = -4*x + 3*x. What is the remainder when 13/(1 - -1 - 1) is divided by x?
6
Let i = 78 - 56. Calculate the remainder when i is divided by 13.
9
Let m = 26 - 28. Calculate the remainder when m + 45 + 4 + -4 is divided by 15.
13
Let b(i) be the first derivative of i**3/3 - 3*i**2 - 5*i - 4. Let y be b(7). What is the remainder when 9 is divided by y/9 + (-208)/(-36)?
3
Suppose -3*m + 2*m + 27 = 0. What is the remainder when m is divided by 2/7 + (-235)/(-35)?
6
Let c(h) = 15*h**3 + 3*h**2 - 3*h + 1. Calculate the remainder when 42 is divided by c(1).
10
Suppose r + 2*q = 45, -r + 2*q + 40 = 3*q. Let o(f) = -f**2 + 12. What is the remainder when r is divided by o(0)?
11
Calculate the remainder when 37 is divided by 6 - (4 + 0)/(-1).
7
Let k = 25 + -14. Let y be (2/4)/(2/(-12)). Let i = y + k. Calculate the remainder when i is divided by 3.
2
Let f(u) = -36*u - 2. Let o be f(-5). Let z = -91 + o. What is the remainder when 11 is divided by (-3)/(-15) + z/15?
5
Let w(v) = v + 53. What is the remainder when w(0) is divided by (17 - 0) + -9 + 10?
17
Suppose i - 10 = -4*q, i - 1 = 3*q - 4*q. Calculate the remainder when -1 + (-118)/i - 2 is divided by 19.
18
Let c = -18 - -42. Calculate the remainder when c is divided by 5.
4
Let i be (1/3)/((-1)/(-78)). Let h = 6 + -4. Suppose 5*k = n - 20, 3*k = h*n - 0 - i. Calculate the remainder when 28 is divided by n.
8
Let j = -62 - -64. Let b(f) = -6*f + 2. Let a be b(-3). Suppose 0 = j*p - a - 8. Calculate the remainder when 53 is divided by p.
11
Let j be (-4)/(-10) - 189/35. Let u = j + 11. Let d(h) = 3*h - 1. Calculate the remainder when d(6) is divided by u.
5
Suppose 4*r = -3*p + 32, -3*r - 2*p + 3 = -5*p. Suppose -r*c - 10 = -10*c. Calculate the remainder when c is divided by 2.
0
Let a be (5/(-3))/5*0. Let c = a - -4. Calculate the remainder when (-39)/(-12)*(3 - -1) is divided by c.
1
Calculate the remainder when 26 is divided by 2 + 6 + 4 - 3.
8
Suppose -2*m - 28 = -3*m. Suppose -54 + 18 = -3*l. Calculate the remainder when m is divided by 178/12 + 2/l.
13
Let c(b) = 24*b. What is the remainder when c(1) is divided by 9?
6
Let l(z) = 12 - z**2 + 3*z**2 - z**2. What is the remainder when 46 is divided by l(0)?
10
Suppose -23 + 108 = 5*u. What is the remainder when 47 is divided by u?
13
Suppose 2*g = 4*g - 158. What is the remainder when g is divided by 20?
19
Let t(k) = 5*k. Let r be t(-2). Let g be (3 - 2)/(2/(-24)). What is the remainder when (r/(-15))/((-2)/g) is divided by 3?
1
Calculate the remainder when 30 is divided by (-1)/((-130)/32 + 4).
14
Let n = 3 + -3. Suppose -v + n*v = -5. Suppose 0 = -5*s + 3*a + 67, 2*a = -3*s - a + 45. Calculate the remainder when s is divided by v.
4
Let g be (-1)/4 + (-1595)/20. What is the remainder when 16 is divided by (3/(-4))/(10/g)?
4
Let i = 2 - -2. Suppose -5*g + 18 = -i*v, 4*g + v = -v + 30. Calculate the remainder when 17 is divided by g.
5
Let f be (-56)/(-10) + (-6)/(-15). Let t(j) = j - 4. Let y be t(f). Suppose 30 = m + y*m. Calculate the remainder when 28 is divided by m.
8
Let v(s) = s**3 - 3*s**2 - 3*s - 4. Let k be v(4). Suppose 2*i - i - 23 = k. What is the remainder when i is divided by 13?
10
Let z = -30 + 86. What is the remainder when z is divided by 13?
4
Suppose 1 + 5 = 2*v. Let p = 0 - v. Calculate the remainder when 20 is divided by 1 + (-1 + -29)/p.
9
Let v(t) = 2*t**2 - 6*t + 2. Let y be 5 + -1 