s(k) = -4 + 0 + k**2 - 8*k + 2*k. Let p be s(6). What is the remainder when -1 + (2/1 - p) is divided by 2?
1
Let g = 5 - -7. Suppose 0 = 6*l - l + q - 290, 0 = -3*l + 2*q + 174. Calculate the remainder when l is divided by g.
10
Let l(c) = -c**3 - 3*c**2 - 2*c - 4. Let a be l(-3). Suppose -20 - 4 = a*w - n, 5*n - 16 = 2*w. Let t = 2 - w. Calculate the remainder when t is divided by 4.
3
Let b(i) = i**2 - 13*i + 18. Calculate the remainder when b(12) is divided by 2.
0
Suppose -105 = -3*f - 9. Calculate the remainder when f is divided by 22/(-4)*(1 - 3).
10
Suppose 20 = -3*g + 8*g. Let u be 8 + (g/(-2) - -2). Suppose -u = -l - l. What is the remainder when 10 is divided by l?
2
Suppose -r - 3*s = -5, r = -2*r - 4*s + 15. Calculate the remainder when 13 is divided by r.
3
Let g = 12 - -4. Calculate the remainder when 45 is divided by g.
13
Suppose -4*f + 3*q = 6*q - 64, -2*f + 5*q + 6 = 0. Suppose -2*z = -w + 5*w - 148, 2*w - 2*z = 74. What is the remainder when w is divided by f?
11
Suppose 0 = 5*o + 3*j - 785, 2*j - 795 = -5*o - 3*j. What is the remainder when o is divided by 39?
37
Let a(p) be the second derivative of -p**3/6 - p**2/2 - p. Calculate the remainder when 19 is divided by a(-11).
9
Suppose 45 - 17 = 2*l. Calculate the remainder when 81 is divided by l.
11
Suppose -3*j - j + 140 = 0. Suppose 13 = 4*y - j. Calculate the remainder when (-1)/1 + (49 - 1) is divided by y.
11
Suppose 2*c = 2 + 6. Suppose 4*o - c*l = 0, -5*l + 4 = -4*o + 1. What is the remainder when 9 is divided by o?
0
Let c(w) = -6*w + 1. Let s be c(-1). Suppose s*q - 3*q - 40 = 0. Calculate the remainder when 38 is divided by q.
8
Let o(h) = -h**3 - 13*h**2 - 5*h - 4. Calculate the remainder when o(-13) is divided by 17.
10
Let t = 28 + -7. Calculate the remainder when ((-2)/3)/((-1)/t) is divided by 8.
6
Let l(a) = 6*a - 7. Suppose -2*k + 12 = -12. Calculate the remainder when l(5) is divided by k.
11
Suppose 331 = -4*a - v, 0 = 3*a + v + 2*v + 237. Calculate the remainder when 71 is divided by (72/a)/((-1)/21).
17
Let n(u) = -u**2 + 5*u + 2. Let m be n(6). What is the remainder when 31 is divided by (2/m)/(5/(-170))?
14
Let l(o) = -o**3 - 5*o**2 + 16*o - 7. Let h(u) = u**2 - u + 15. What is the remainder when l(-8) is divided by h(0)?
12
Let b = -2 - -8. Let u be (-1)/(2/(-8)) - 0. Suppose -u*z = -37 - 3. What is the remainder when z is divided by b?
4
Suppose 73*i + 185 = 78*i. Calculate the remainder when 146 is divided by i.
35
Let y(q) be the second derivative of -q**5/20 - 7*q**4/12 + 2*q**3/3 + q**2 - q. Let w = -8 + 20. What is the remainder when y(-8) is divided by w?
10
Suppose -4*i - 7*i = -22. Suppose 1 = a - 1. What is the remainder when a is divided by i?
0
Let s be ((-10)/15)/((-1)/72). Suppose 0 = -4*x - 0*x + s. Let j = x + -8. Calculate the remainder when 7 is divided by j.
3
Let f(u) = 3*u - 10. Let x(j) = -3*j + 10. Let v(w) = -6*f(w) - 5*x(w). What is the remainder when v(-8) is divided by 9?
7
Let n(b) = 9*b. Let d(g) = g**3 + 4*g**2 - 2*g + 4. What is the remainder when n(5) is divided by d(-4)?
9
Suppose -4*k - 13 + 29 = 0. Suppose -13 = -3*t - 58. What is the remainder when t*(-1 - 3/(-5)) is divided by k?
2
Suppose -4*o + 1 = -7. Suppose -3*r = -s - 12, 6 = -3*r + o*s - 7*s. Suppose r*j - 49 = c, j = 4*j - 3*c - 51. What is the remainder when j is divided by 6?
4
Let m = 84 + -20. Suppose -m + 9 = -z. What is the remainder when z is divided by 19?
17
Let i(o) = -o**3 + o + 2. Let x be i(0). Suppose -3*t = x*t - 115. What is the remainder when t is divided by 8?
7
Let n(g) = g**2 - 5*g - 2. Let r be n(3). Let p(d) = -d**3 - 8*d**2 - d - 2. What is the remainder when 17 is divided by p(r)?
5
Let z(m) = -m**2 + 5*m - 1. Let b be z(4). Suppose -b*g + 14 = -16. What is the remainder when g is divided by 6?
4
Let s(z) = 6*z**2 - z. Let x be s(1). Let o be -1*6*10/(-15). Suppose 2*r - 14 = -o*v + 2*v, x*v - 4*r = 62. What is the remainder when 19 is divided by v?
9
Let f(d) = -d**3 + d. Let y be f(-2). Suppose 0 = 4*u - 3*u - y. Let p = 13 + -9. What is the remainder when u is divided by p?
2
Suppose -6*w - 111 = -4*a - 5*w, -5 = -5*w. Let t = -9 + a. Let y = 18 - -37. What is the remainder when y is divided by t?
17
Calculate the remainder when 3 is divided by 28/7*2/8.
0
Let h(r) = 15*r**2 - 2*r + 2. Let u be (3 + -4)*1*-2. What is the remainder when h(u) is divided by (3 - 0)/((-4)/(-20))?
13
Let y(i) = -2*i**3 - 3*i**2 - 2*i - 1. Let v be y(-2). Let l = v + -4. Suppose d - l*d + 12 = 0. Calculate the remainder when 11 is divided by d.
5
Let r = -1 - -4. Suppose 0 = r*p + 44 + 19. Let x = 35 + p. Calculate the remainder when x is divided by 5.
4
Suppose -3*b + r + 106 = -b, -5*r = -10. Suppose -6*w = -9*w + b. What is the remainder when 53 is divided by w?
17
Calculate the remainder when 105 is divided by -27*((-4 - -2) + 1).
24
Suppose 0 = 5*v + 15, 3*g - v - 3*v = 57. What is the remainder when 59 is divided by g?
14
Let x = 26 - 7. Suppose x = j - 8. Suppose 0 = -g + 4*g - j. What is the remainder when 17 is divided by g?
8
Let s = 4 + 19. Let r = -20 - -109. Calculate the remainder when r is divided by s.
20
Let z(s) = -4*s + 51. What is the remainder when 30 is divided by z(10)?
8
Let j(t) = t**2 - 12*t + 14. Suppose -19 + 7 = -n. What is the remainder when 40 is divided by j(n)?
12
Suppose 180 = 4*f + 2*a, f + 3*f = 4*a + 204. What is the remainder when f is divided by 12?
11
Let i = -21 + 47. What is the remainder when (-2)/(-3) - 252/(-27) is divided by i/7 - (-2)/7?
2
Suppose -2*t + 54 = -44. Suppose 0 = 5*b + w - 227, 0 = -5*b + 2*w + 197 + 24. What is the remainder when t is divided by -2*(b/(-6) + -1)?
15
Let u = 92 - 59. What is the remainder when 98 is divided by u?
32
Let g(o) = -38*o**2. Let q be g(-4). Suppose -4*v + 0 + 4 = t, -28 = -3*t - 4*v. What is the remainder when 6/27 - q/18 is divided by t?
10
Let p(x) be the first derivative of 3*x + 13/2*x**2 + 2 - 1/3*x**3. What is the remainder when p(7) is divided by 23?
22
Suppose 3*j + 207 = 3*c, -2*c - 80 = -5*j - 230. Suppose 0 = -3*b + 4*f + c, -3*b + 0*f - 2*f + 35 = 0. Calculate the remainder when -5*-8*3/b is divided by 5.
3
Let h = 176 + -95. Let p be h/18 + (-1)/(-2). Suppose z = -0*z + p. What is the remainder when 18 is divided by z?
3
Let p(a) = 7*a - 22. Calculate the remainder when 78 is divided by p(9).
37
Let r(s) = -37*s + 2. What is the remainder when 115 is divided by r(-1)?
37
Let p(i) = i**3 - 6*i**2 + 2*i + 8. What is the remainder when p(8) is divided by 17?
16
Suppose -5*n + 112 = -n. Suppose -4*o = 5*z + 9, -4*o = 3*z - 4*z - 21. Suppose 5 = 2*k + 5*f, k - 16 - o = f. What is the remainder when n is divided by k?
13
Calculate the remainder when 35 is divided by 15*-1*(-3)/5.
8
Let a = 12 + 18. Suppose -h + 24 = 2*h + 4*t, 0 = -2*h + 2*t + 16. Calculate the remainder when a is divided by h.
6
Let n(v) = -v**3 - v**2 - v - 8. Let q be n(0). Calculate the remainder when 74 is divided by (q - -6)/((-4)/38).
17
Let t = 1 - -4. Let o(w) = 39*w - 60. Let d(q) = -11*q + 17. Let a(f) = t*o(f) + 18*d(f). What is the remainder when a(-6) is divided by 13?
11
Let u be (-5 + 0)*(-54)/45. What is the remainder when (7 - u)/(1/11) is divided by 6?
5
Suppose -3 = -t + 3. Calculate the remainder when -33*((-8)/t + 0) is divided by ((-10)/(-6))/(2/18).
14
What is the remainder when 17 is divided by (-126)/(-12) - (-3)/(-2)?
8
Let l(b) = 8*b**2 - 2*b + 1. Let m be (-6)/(-15) - (-18)/5. Let o = 14 - m. What is the remainder when l(2) is divided by o?
9
Suppose 24 = -3*g - 15. Let j = -1 - g. What is the remainder when 46 is divided by j?
10
Suppose 5*x - 110 = 3*w - 8*w, 0 = -4*x - 12. What is the remainder when 122 is divided by w?
22
Let s(a) be the first derivative of a**4/4 - a**2 - 4*a - 3. What is the remainder when 49 is divided by s(3)?
15
Let r(g) = -g**2 + 5*g + 14. Let v(j) = -j + 8. What is the remainder when v(-6) is divided by r(6)?
6
Let l = 220 + -73. Calculate the remainder when l is divided by 30.
27
Let o = 16 + -6. Calculate the remainder when 17 is divided by o.
7
Let x = 34 + 5. Calculate the remainder when x is divided by 10.
9
Let t be (-4)/((6/3)/(-2)). Suppose -n = -2*f + f + 24, -t*n = 3*f + 82. Let w = n - -35. What is the remainder when 4