6
Suppose 26 = 2*b + 5*o, 4*b = 2*o - 9 + 13. Let d(z) = -z**2 - z + 7. What is the remainder when d(0) is divided by b?
1
Suppose -19*s = -14*s - 10. Calculate the remainder when 60 is divided by (s - 3) + 34*1/2.
12
Let d be (2 - 1) + -33 - -2. Let h = d + 81. Let q = -35 + h. Calculate the remainder when 63 is divided by q.
15
Suppose 5 = 2*n - 1. Suppose -2*l - n*l + 85 = 0. Suppose -r = -20 - 46. Calculate the remainder when r is divided by l.
15
Suppose 0 = -5*q - 78 + 98. Suppose 28 = w + 2*w + 4*h, 0 = 3*w - 3*h. Suppose 2*m = w*o, 0*o - 2 = 3*o - 2*m. What is the remainder when q is divided by o?
0
Suppose 4*w - 3*x - 40 = 0, 0 = -5*w + 2*x - 5*x + 77. What is the remainder when 20 is divided by w?
7
Let q(d) = -3*d**2 + 47*d - 21. What is the remainder when q(12) is divided by 38?
35
Let y be -2*((-4)/18 + 164/(-72)). Suppose 5*a + 25 = y*w, 0*w + 5*a = 2*w - 13. Calculate the remainder when 50 is divided by w.
2
Let z = -5 - -8. Suppose -19 = -z*h + q, -q = 2*h + 3*q + 6. Calculate the remainder when 7 is divided by h.
2
Suppose 23*o = 4*o + 684. What is the remainder when 70 is divided by o?
34
Let s(u) = -u**2 + 4*u - 2. Let d(i) = i**2 + 5*i + 6. Let g be d(-4). What is the remainder when (-16)/(-3) + 2/(-6) is divided by s(g)?
1
Let m = 48 + -39. What is the remainder when 66 is divided by -2 - 2 - -20 - m/(-3)?
9
Suppose 0 = -3*k - 2*k + 45. What is the remainder when k is divided by -1*(-2 + -5 - -2)?
4
Suppose 4*y - 774 = 3*y. Let n = -538 + y. Suppose -5*w + n = 81. What is the remainder when w is divided by 17?
14
Let l(r) = r**2 - 7*r + 6. Let q = -77 + 53. Let z = q - -31. Calculate the remainder when 17 is divided by l(z).
5
Let t = -471 + 601. What is the remainder when t is divided by 44?
42
Suppose 2*q + 0*q + 50 = -4*y, -q - 5*y - 28 = 0. Let s = q + 36. Let d(j) = -6*j - 6. Calculate the remainder when d(-7) is divided by s.
10
Suppose -7 - 33 = -4*n. What is the remainder when 2 + n + (2 - -1) is divided by 6?
3
Let r(h) be the second derivative of h**5/20 + h**4/12 - h**3/3 + 15*h**2 + 19*h. Calculate the remainder when 88 is divided by r(0).
28
Suppose -4*z = -z. Let p be (-3)/(-3 + z) + 0. Suppose -r + 3 = -3*h, 4*r - 4*h = 3*r - p. Calculate the remainder when 44 is divided by r.
14
Let z be 8/3 + -3 + 213/(-9). Calculate the remainder when ((-594)/(-24))/((-9)/z) is divided by 17.
15
Let p(v) = v**3 + 9*v**2 - 4*v - 3. Suppose -y + 36 = -3*g + 9, 0 = -5*y + 3*g + 99. What is the remainder when p(-7) is divided by y?
15
Let p(f) = -81*f + 550. What is the remainder when p(6) is divided by 21?
1
Suppose 25 = -5*l, 0*a - 2*l = -2*a + 36. Suppose 6*y + 0*y = 564. Suppose 0*c = -2*g - 5*c + y, 0 = 4*c - 16. What is the remainder when g is divided by a?
11
Let s be 0 + 4 + -4 + -4. Let l(x) = -x**3 - 4*x**2 + 2*x - 4. Let d be l(s). What is the remainder when 7 is divided by (-4 - d*1) + -4?
3
Let w(f) = -f**2 - 21*f + 397. Calculate the remainder when 249 is divided by w(-31).
75
Let r = 100 - 106. What is the remainder when (1/(-1))/(r/1230) is divided by 26?
23
Suppose 2*p - 4*n = 0, -5*n = -p - 10*n. Suppose p*u - 2 = -u. What is the remainder when ((-1)/(-2))/((-2)/(-20)) is divided by u?
1
Let l = -59 - -82. Suppose k + 160 = 6*k - 4*s, -2*s = -2*k + 66. Let j = k - l. Calculate the remainder when 9 is divided by j.
4
Suppose 17*z - 75 = 20*z. Let c(k) = -k**3 - 26*k**2 - 25*k + 21. Calculate the remainder when 31 is divided by c(z).
10
What is the remainder when 96 - (-5 - (-7)/(28/16)) is divided by 22?
9
Suppose 4*m + 4*a + 28 = 0, -m - a - a = 11. What is the remainder when 204 is divided by 82/(-12)*m*(-3 + 5)?
40
Suppose 99 + 87 = 3*f. Let t(u) = -2*u**3 - 8*u**2 - 8*u. Calculate the remainder when f is divided by t(-4).
30
Let c(r) = -2*r**2 - 19*r - 8. Let u be c(-9). Suppose -l = 2*t - 11, -2*l + 3 = -2*t - u. Calculate the remainder when 17 is divided by l.
2
Let r = -1711 + 1725. Let g = 26 + -2. Suppose 0*m - 3*m = -g. What is the remainder when r is divided by m?
6
Let y(s) = 4*s. Let j be y(12). Let k be (-8)/j + (-314)/(-12). Suppose 0 = 5*z - 14 - k. Calculate the remainder when 13 is divided by z.
5
Let n(h) = -2*h**2 + 23*h + 15. Calculate the remainder when 74 is divided by n(12).
2
Suppose 0 = -4*q + 123 + 25. Suppose 0 = 5*t - 28 - 37. What is the remainder when q is divided by t?
11
Suppose -2*v = -16 - 18. Let z(c) = c**3 - 12*c**2 - 29*c + 14. Let x be z(14). Suppose -3*t + 201 = -x*t. Calculate the remainder when t is divided by v.
16
Suppose 1118 = 33*v + 194. Let m be -16 - 0/(-1)*1. Let j = m + 69. Calculate the remainder when j is divided by v.
25
Suppose -27 - 48 = -3*h. Let v be 59 + -58 - (1 - 3). Let w = h - v. What is the remainder when w is divided by 6?
4
Suppose 0 = i + 4, i = 5*l + 6 - 90. Suppose 0*v - v + l = 0. What is the remainder when v is divided by 5?
1
Suppose -3*w + 4*w - 80 = 0. Let c(u) = 8*u - 6. Let l be c(2). Suppose -j - l = -f + 10, f - 2*j = 19. What is the remainder when w is divided by f?
17
Suppose -50*y + 3536 = -37*y. Calculate the remainder when y is divided by 46.
42
Suppose -19 + 12 = -v. Suppose -9*m + v*m = -5*b + 85, 0 = -b - 2*m + 5. What is the remainder when 44 is divided by b?
14
Let i = -395 - -412. What is the remainder when 17 is divided by i?
0
What is the remainder when (672/(-2))/(-7) + 0 is divided by 8?
0
Suppose 11*a - 12*a + 140 = 0. What is the remainder when a is divided by 36?
32
Let j = 4004 - 3998. What is the remainder when ((-6)/9)/(2/(-123)) is divided by j?
5
Suppose 3*y - 2 = 34. Suppose -v + 24 = s + 5, -y = 4*s. Let k = 38 - 32. What is the remainder when v is divided by k?
4
Let g(z) = -z + 4. Let v = 27 - 21. What is the remainder when (-15)/((-90)/4) - (-182)/v is divided by g(-4)?
7
Let u(x) = -x**2 - 29*x + 41. What is the remainder when 74 is divided by u(-30)?
8
Let f = -56 - -62. Suppose 0 = -q + 54 + 21. Suppose 0 = -d + f*d - q. Calculate the remainder when d is divided by 6.
3
Let u(k) = 3*k. Let j be u(-1). Let c be 21 + -4 + (5 - 3). Let s = j + c. What is the remainder when s is divided by 9?
7
Let s(w) = 10*w + 341. What is the remainder when 92 is divided by s(-31)?
30
Let n be (22/4)/((-3)/(-6)). Let b = 10 - n. Calculate the remainder when 97 is divided by b/(1/(-5))*5.
22
Suppose 0 = -0*v + 5*v - 55. Let k = 21 - 24. Calculate the remainder when (-316)/(-8) - k/6 is divided by v.
7
Let t(v) = 2*v**2 - 3*v - 2. Let c(f) = f**2 + 5*f - 8. Suppose 4 = j + 10. Let p be c(j). Calculate the remainder when t(p) is divided by 7.
5
Let g be (-6)/((42/(-8))/7). Suppose 10*y - g*y - 36 = 0. Suppose 7 + 3 = p. What is the remainder when y is divided by p?
8
Let g = 254 + -243. Suppose 4*n + 2*q = -n + 168, 4*n = 4*q + 112. What is the remainder when 94 is divided by n/(-176) - (-211)/g?
18
What is the remainder when 65 is divided by 16 - (2 - 3)/1?
14
Let m = 55 - 48. What is the remainder when 34 is divided by (5 - m)*(-1)/(-2) + 5?
2
Suppose -6*k = -18*k + 492. What is the remainder when 2006 is divided by k?
38
Suppose -145 + 35 = -11*l. Suppose -3*s + 120 = -3*b, 3*s - 3*b - 2*b = 126. Calculate the remainder when s is divided by l.
7
Let b be (-3597)/(-44) + (-1)/(-4). Suppose 119 = 3*r - b. What is the remainder when r is divided by -3 + (1 + -2 - -21)?
16
Let y(w) = -5*w**2 + 20*w + 21. Calculate the remainder when 0 - (1 + -71*1) is divided by y(3).
34
Suppose 0 = -3*p + 170 - 53. Let o = 468 + -354. What is the remainder when o is divided by p?
36
Suppose -5*u + 990 = -60. Calculate the remainder when 638 is divided by u.
8
Suppose 0 = -a + 5*a - 44. Suppose 0 = 4*o - a*o + 70. Calculate the remainder when 17 is divided by o.
7
Let m(g) = 22*g - 13*g + 3*g**2 - 13*g. Let v be m(-3). Suppose 3*l + v = 4*l. Calculate the remainder when l is divided by 14.
11
Suppose -359 = -14*i + 481. Calculate the remainder when i is divided by 7.
4
Suppose 3*t = -4*y + 3 + 1, 3*y + 5*t + 8 = 0. Suppose -3*i + y = -17. What is the remainder when 27 is divided by i?
6
Suppose -5*o = 5*m - 500, 101 = 5*o - 5*m - 349. What is the remainder when o is divided by 53?
42
Calculate the remainder when 166 is divided by (-670)/(-20) - 2/(-4).
30
Suppose -3*k + 4*i + 41 = 0, 54 = 4*k - 38*i + 33*i. Calculate the remainder whe