en i is divided by 9.
6
Suppose -2*a = -5*a + 6. Let l(z) = z - 1. Let p be l(3). Calculate the remainder when ((-3)/p)/((-9)/12) is divided by a.
0
Suppose -4 = -4*w + 4*b, -4*w - 4*b + 4 = -8. Suppose w*r = -3*r + 25. Calculate the remainder when r is divided by (-1)/(-2) - (-10)/4.
2
Suppose -4*n + 12 = -4. Suppose -3*b = -n*i - 25, i + 0*i = 3*b - 31. Calculate the remainder when 54 is divided by b.
10
Let y be 2/(-8) - (-27)/12. Let p(k) = -k - 2. Let o be p(-5). Suppose -y*s = -o - 29. What is the remainder when s is divided by 9?
7
Let s = 33 - 18. Suppose -3 = -2*j - 5. What is the remainder when 31 is divided by s + (-3 - j) + -2?
9
Let w(q) = -q**3 - q**2 - 1. What is the remainder when w(-5) is divided by 34?
31
Let v(t) = -t**3 - 8*t**2 + 7*t - 4. Calculate the remainder when 40 is divided by v(-9).
12
Let z be (2 + 1 - 2)*8. Suppose -4*v = -z - 8. Calculate the remainder when 7 is divided by v.
3
Let o(z) = z**3 - 2*z - 1. Let y be o(-1). Suppose -k + 11 + 12 = y. What is the remainder when k is divided by 6?
5
Let l(g) = 2*g**2 - 2*g + 1. Suppose -3*v + v - 6 = 0. Suppose -2*z + 4 = -14. What is the remainder when l(v) is divided by z?
7
Suppose -v + 4*h + 116 = 3*v, 3*h = 4*v - 115. Calculate the remainder when 83 is divided by v.
27
Let g(j) = j**2 - 2*j + 15. Suppose 16 = h - 0. What is the remainder when g(8) is divided by h?
15
Suppose -2*f = 2*f. Let j be 0 + f - (-6)/3. Suppose j = 3*h + 5*w, -4*h + 2*h = -4*w - 16. Calculate the remainder when h is divided by 2.
0
Let q be 5 - 2/(-1 - -3). Let j be (-4)/(2 - q)*1. Suppose 2*u = 5*f - 3*u - 175, 2 = j*u. Calculate the remainder when f is divided by 19.
17
Suppose -4*k + 2*l + 321 = 9, -3*k + 4*l + 239 = 0. Let x = k + -50. Calculate the remainder when x is divided by 10.
7
Let v(l) = -l**3 - 5*l**2 + 8*l + 3. Let q be v(-6). Let u(x) be the first derivative of -x**2 - 12*x + 1. What is the remainder when u(q) is divided by 4?
2
Let m(y) = -y**2 - 11*y - 5. Let r(j) = -7*j - 5. Calculate the remainder when m(-6) is divided by r(-2).
7
Let n be (-13)/(-3) - (-1)/(-3). Suppose n*j = -4*i + 20, -3*i + 2*j + 5 = 3*j. Suppose 4*u - 22 + 2 = i. Calculate the remainder when 9 is divided by u.
4
Let l be 0 - -6 - 0/(-2). Let h = -3 + 24. What is the remainder when h is divided by (44/(-6))/(l/(-9))?
10
Let d(y) be the second derivative of -1/3*y**3 + 0*y**4 + 1/2*y**2 + y + 3/4*y**5 + 0. Calculate the remainder when 41 is divided by d(1).
13
Calculate the remainder when (-56)/(-2) - (8/(-4) + -1) is divided by 11.
9
Let p(g) = 2*g**3 - 4*g**2 + 3. Let f = -362 - -368. Calculate the remainder when p(3) is divided by f.
3
Suppose 5*a = 6*a - 3. Suppose -3*d = -j + 22, -5*j = a*d + 2*d - 110. Calculate the remainder when 85 is divided by j.
19
Let a = 71 + -26. Suppose f = 5*m - 180, m + 9 = 4*f + a. Suppose -m = -3*t + 9. What is the remainder when 44 is divided by t?
14
Let v(o) = -8*o - 11 + 2*o**3 + 11*o**2 - 7*o**3 + 4*o**3 + 0*o. What is the remainder when v(10) is divided by 4?
1
Suppose -q = q + 6. Let d = 22 + q. Suppose 0 = -3*i + d + 5. What is the remainder when i is divided by 5?
3
Let l(w) = -26*w + 3. Let m be l(-6). Suppose -10*x + m = -7*x. Calculate the remainder when x is divided by 18.
17
Suppose 4*b - 4*u - 12 = 0, -5*b + 11 = -3*u + 2. Let w = b - -4. Calculate the remainder when 18 is divided by ((-2)/w)/(2/(-40)).
8
Suppose -75 = -2*w + 43. Let o = 20 + 0. What is the remainder when w is divided by o?
19
Suppose 5*x = 15 + 10. Suppose 10*y - 5*y - 2200 = 0. What is the remainder when y/35 + (-3)/(-7) is divided by x?
3
Suppose 2*d = 4*d - 10. Let n(m) = -m + 41. Let j be n(0). Let g = -28 + j. What is the remainder when g is divided by d?
3
Let d = 167 + -119. Suppose -r = 3*r - d. What is the remainder when 19*(-3)/(-3) - -3 is divided by r?
10
Calculate the remainder when ((-3)/2)/(-4 + (-831)/(-210)) is divided by 13.
9
Let z = 7 + 0. Let s(l) = l**3 - 5*l**2 - 10*l. Calculate the remainder when 54 is divided by s(z).
26
Suppose -32 = -0*q - 4*q - 5*g, 0 = q - 4*g - 8. Suppose -4*n - 68 = -4*t, 0 = -5*t + 2*n + 96 + 4. What is the remainder when t is divided by q?
6
Calculate the remainder when 75/5 + (-1 - -1) is divided by 8.
7
Let q = 3 - -6. What is the remainder when q is divided by 2?
1
Suppose -2*i - 10 = 2*d, 2*i = -2*i - 5*d - 18. Suppose 0 = 3*l - 5*z - 1, 3*z - 9 = 3. What is the remainder when 2/l + (-243)/i is divided by 18?
17
Suppose -2*q + 21 = -2*d + 5*d, 2*q - 3*d = 27. Calculate the remainder when 21 is divided by q.
9
Suppose 3*g = 2*x + 123, -3*x + 123 = 3*g - 0*g. Let c(n) = 2*n**2 - 5*n + 2. Calculate the remainder when g is divided by c(4).
13
Suppose -18*h + 0*h = -108. Let b be 6/9 - (-34)/(-6). Let c = b - -15. What is the remainder when c is divided by h?
4
Let h be (-10)/(-1)*(-4)/(-5). Let o = 12 - h. Let i(s) = 7*s. What is the remainder when i(o) is divided by 15?
13
Let c(a) = -2*a - 7. Let i be ((-12)/(-15))/((-2)/10). What is the remainder when c(i) is divided by (2/(-4))/(1/(-2))?
0
Suppose 3*j = 5*a - 4*a - 26, -2*j = -3*a + 64. Suppose 7 = 3*m - a. Suppose 0 = -c + 23 + 2. Calculate the remainder when c is divided by m.
7
Suppose -s - 5*j + 34 = 0, -4*j - 16 = -s - 3*s. What is the remainder when 15 is divided by s?
6
Suppose -5*k = -16 - 44. Let g(z) be the first derivative of z**3/3 + 34*z - 1. What is the remainder when g(0) is divided by k?
10
Let q be (-138)/(-30) + 4/10. Suppose 2*t = -q*g + 174, -3*t + 6*t = g - 28. Let f = 32 - 14. What is the remainder when g is divided by f?
16
What is the remainder when (-43 + 0)*(2 - 3) is divided by 15?
13
What is the remainder when 29 is divided by ((-9)/6)/((-18)/120)?
9
Suppose 5*r = q + 2*r - 55, 5*q - 195 = -5*r. Let t be 232/9 + 6/27. Let a = t + -11. What is the remainder when q is divided by a?
13
Let y(x) = 7*x**3 - 2*x**2 + 2*x - 1. Let o be y(1). Let i be 3/o*-2 - 7. Let q(g) = -g**2 - 12*g - 7. What is the remainder when 49 is divided by q(i)?
24
Suppose -5*k + 43 = -3*w, -3*k + 4*k - 4*w + 5 = 0. Let c = k - -45. What is the remainder when c is divided by 19?
18
Let k = 16 - 14. Suppose 6 = y - 4*v, 3*v + 11 + 21 = k*y. Calculate the remainder when y is divided by 8.
6
Calculate the remainder when ((-320)/(-6))/5*18/3 is divided by 33.
31
Let c(n) = n**3 + 4*n**2 + 3. Let a be c(-4). Let k = a - -13. Suppose 4*x = 2*u - 32, 9 = 4*u + 3*x - 0. What is the remainder when k is divided by u?
4
Let t be -7 - (1/1 + -3). What is the remainder when (-5)/25 + (-76)/t is divided by 8?
7
Suppose 5*z + 3*q - 166 = 3*z, 5*z - q = 415. What is the remainder when z is divided by 21?
20
Suppose 0 = 2*h - 105 + 9. Let a = 74 - h. Let u = a - 8. Calculate the remainder when 34 is divided by u.
16
Let o(v) = -v**2 + v. Let w be o(4). Suppose 2*d + 60 = -24. What is the remainder when w/d + (-640)/(-14) is divided by 12?
10
Let h(f) = f**3 + 6*f**2 + 3. Let c be h(-6). Calculate the remainder when 63 is divided by ((-64)/20)/(c/(-15)).
15
Let o(v) = 2*v**2 + v - 7. Calculate the remainder when 82 is divided by o(-4).
19
Suppose 3*o - 496 = -o. Suppose -4*c = -g - 290, -o = -2*c + 4*g + 14. Calculate the remainder when c is divided by 19.
16
Let c = -24 + 15. What is the remainder when 6/c - (-232)/6 is divided by 13?
12
Suppose -i - q - 2 = -8, -q = -1. Suppose -x - 4 = -3*x, -i*d + 32 = x. Suppose 3*g + d = 0, m - 3*g = 2*g + 64. What is the remainder when m is divided by 14?
12
Let j(l) = -l**2 + 10*l + 5. Let m be j(11). What is the remainder when 55 is divided by (4/m)/((-14)/399)?
17
What is the remainder when 103 is divided by 41/2 - 5/(-10)?
19
Suppose 4*m - o - 207 = 0, -m + 0*m + 50 = -2*o. Let p = 23 + -12. Calculate the remainder when m is divided by p.
8
Suppose -4*h + 2 = -2*z - 140, 0 = 3*h - 5*z - 117. What is the remainder when h is divided by 9?
7
Suppose -36 = 19*g - 23*g. What is the remainder when g is divided by 2?
1
Let q be ((-2)/4)/(7/(-28)). Suppose -71 = -4*r - 2*n + 15, 2*r - 4*n = 28. What is the remainder when (-173)/(-3) - q/(-6) is divided by r?
18
Let h = 86 + -71. Calculate the remainder when 100 is divided by h.
10
Let j(h) = 2*h**2 + 10*h + 39. What is the remainder when j(-9) is divided by 57?
54
Let t = -5 + 8. Suppose 4*d + d = 70. What i