 5. What is the remainder when (-76)/95*10/j is divided by b(-5)?
0
Suppose 0*i - i = -5*o - 141, -4*o = -3*i + 423. Suppose i = -f - 3*a - 0*a, f = 2*a - 151. Calculate the remainder when (-1)/(-5) + f/(-15) is divided by 4.
2
Let c(u) be the third derivative of u**5/30 - u**4/3 + u**3/6 + u**2 - u. What is the remainder when 25 is divided by c(5)?
3
Let q(v) = -v**3 + 27*v**2 + 42*v - 193. What is the remainder when q(28) is divided by 83?
33
Let p(b) be the third derivative of b**4/2 + b**3/6 + 4*b**2. Suppose -7*i + 2*i = -5. Calculate the remainder when 49 is divided by p(i).
10
Let v(g) be the second derivative of g**4/12 - 5*g**3/6 + g**2 - 15*g. What is the remainder when 46 is divided by v(8)?
20
Let n(p) = 2*p**3 + 2*p**2 - p. What is the remainder when n(3) is divided by 10?
9
Let y(g) = -54*g. Let w(h) = -53*h - 1. Let a(i) = 5*w(i) - 6*y(i). Let j be a(3). Let d = j + -77. What is the remainder when d is divided by 24?
23
Suppose -5*n - 3*d + 10 = -8*d, 0 = n - 4*d - 2. Suppose 0 = -5*h - i - 36, 3*h + 6*i = 2*i - 25. What is the remainder when (5/(-4))/(h/28) is divided by n?
1
Let t(v) = v**2 + 18*v - 87. Calculate the remainder when t(11) is divided by 32.
8
Let c = -601 + 624. Let n(u) = u**2 + 2*u - 3. What is the remainder when c is divided by n(-4)?
3
Suppose 4*m + 0*m = 0. Suppose m*r + 4*r = 12. Calculate the remainder when 4 - (-4)/2 - 3 is divided by r.
0
Suppose 47 = 6*u - u + 2*g, 3*g - 21 = -3*u. Let j(p) = p**3 - 3*p**2 - 7*p + 9. Calculate the remainder when j(6) is divided by u.
9
Suppose 0*d - 78 = -3*d. Suppose 27*u - 71 = d*u. Suppose 4*l - u = 45. What is the remainder when l is divided by 6?
5
Let p be -1*(1 - (-2)/(-2)). Let j = p + 21. Calculate the remainder when 108/(-10)*(-930)/124 is divided by j.
18
Let s(a) = -2*a**2 - 39*a - 27. Calculate the remainder when s(-17) is divided by 6.
4
Let p(g) be the third derivative of g**5/60 + g**4/6 - g**3 - 3*g**2. What is the remainder when (798/(-28))/((-3)/2 + 1) is divided by p(-7)?
12
Suppose 0 = -5*j + 5*h + 40, h + 16 = -j - 4*h. Suppose -u - 2*u + 52 = -j*k, -u + 3*k = -19. What is the remainder when 29 is divided by u?
13
Let b = 1 + 3. Suppose b*f = 223 + 153. What is the remainder when f is divided by 32?
30
Suppose 14 = -5*y - 1, 3*x - 5*y = 1557. Suppose -7*c + 59 = x. Let i = c - -92. What is the remainder when i is divided by 16?
11
Let m(d) = 87*d**2 + 5*d + 5. What is the remainder when m(-1) is divided by 15?
12
Suppose -3*c = -5*i + 170, 57*c = 2*i + 54*c - 59. What is the remainder when i is divided by (-1 - -4)*(-16)/(-12)?
1
Let n(y) = -y**2 + 15*y + 21. Let k be (2/(-5))/((-2)/80). Calculate the remainder when 18 is divided by n(k).
3
Suppose -329*h + 24 = -327*h. What is the remainder when 33 is divided by h?
9
Suppose 0 = 4*i + 2*u - 146, -i + 4*u + 152 = 3*i. What is the remainder when 89 is divided by i?
15
Let n = 12 + -10. Suppose 7*a - 4*z = 4*a + 161, -251 = -5*a - n*z. Calculate the remainder when 151 is divided by a.
49
Let k(g) be the first derivative of 35*g**3 + g**2/2 - 3. Let j be k(-1). Suppose 0 = r + 3*r - j. What is the remainder when 77 is divided by r?
25
Suppose -6 = 3*z, -109 = -3*f + 2*z - 21. Let v(a) = -a**3 + 9*a**2 - 6*a - 8. What is the remainder when f is divided by v(8)?
4
Suppose -24 = -4*u + 5*u. Let i = 38 + u. Suppose 4*k = -126 + 346. What is the remainder when k is divided by i?
13
Let n(o) = -o**2 + 8*o + 157. Suppose 0 = 3*j - 3*x - 18, -11 = 3*j + 4*x - 36. What is the remainder when j is divided by n(17)?
3
Suppose -5*x + 357 = 4*s, -9*s + 6*s + 4*x + 229 = 0. What is the remainder when s is divided by 42?
41
Let z be 876/14 - 9/(-21). Suppose 0 = z*y - 68*y + 75. What is the remainder when y is divided by 7?
1
Let l = -68 + 151. What is the remainder when l is divided by 14?
13
Let a(t) = -t**2 + 14*t + 3. Let d be a(14). Suppose -5*w = -u - 3*u + 58, -6 = d*w. Calculate the remainder when 93 is divided by u.
9
Let d = 700 - 691. What is the remainder when 536 is divided by d?
5
Suppose z - 9 = f, -3*f + 20 = 3*z - 37. Calculate the remainder when 248 is divided by z.
10
Let p = 17 - 8. Suppose 15 = 2*x - 2*a - 5, 5*x - 2*a - 35 = 0. Suppose 0 = -y + o + 6, -x*y - o = o - 23. What is the remainder when p is divided by y?
4
Suppose 4*p = -h + 40, p = -31*h + 27*h + 160. Calculate the remainder when 226 is divided by h.
26
Suppose 0 = -3*l - f + 68, -4*l + 84 = -3*f + f. Suppose 5*k = -4*r + 64 + l, 6 = k - 2*r. What is the remainder when 95 is divided by k?
11
Suppose -2513 - 1341 = -82*j. Calculate the remainder when 234 is divided by j.
46
Suppose -5*r - 5*q + 120 = 0, -5*r + r + 84 = -2*q. What is the remainder when r is divided by (-141)/(-12) + 1/4?
10
Suppose -4*i - 64 = -4*t - 0*t, 4*t - 65 = 3*i. Suppose -50 = -v - 12. Suppose -5*h + v = -287. What is the remainder when h is divided by t?
14
Suppose 0 = q + 4*z - 8*z - 146, -2*z = 8. What is the remainder when q is divided by 19?
16
Suppose -11*y - 5*m - 179 = -15*y, 5*y - 245 = 2*m. Calculate the remainder when y is divided by 26.
25
Suppose -3060 = -46*l + 26*l. What is the remainder when l is divided by 87?
66
Let l(s) = 86*s**2 + 161*s + 658. Calculate the remainder when l(-4) is divided by 45.
40
Suppose -2*m + 293 = 289. Suppose 3*x + 234 = 3*a, 277 = 4*a + x + m*x. What is the remainder when a is divided by (46/(-4) + 2)*-2?
16
Let r(u) = 5*u**2 + 8*u - 3. Calculate the remainder when 107 is divided by r(-3).
17
Suppose -3*t = 4*i - 61, 0 = 3*t + 2*i - 30 - 29. What is the remainder when t is divided by 9?
1
Suppose 0 = -b + 2*b + 65. Let c = -46 - b. Calculate the remainder when c is divided by (17 - -3)/(-5) - -11.
5
Let m(g) = -8*g - 2. Let w be m(-1). Let n(z) = -z**3 + 9*z**2 + 3*z + 6. Calculate the remainder when n(w) is divided by 27.
24
Suppose -24*h - 3 = -267. What is the remainder when 128 is divided by h?
7
Let i(w) = 129*w - 254. What is the remainder when i(13) is divided by 62?
59
Let m be 6/(-21) + (-45)/(-35). Suppose 3*p = 4*p - m. What is the remainder when ((-2)/6)/(p/(-81)) is divided by 14?
13
Let c(w) = 3*w + 46. Suppose 5*m - 4*p - 10 = -2, -p - 2 = 0. What is the remainder when c(m) is divided by 17?
12
Suppose o - 2 = -o + 3*a, o + 4*a = 12. Suppose v + 153 = o*v + 2*g, 5*v = -3*g + 256. Let s = -26 - -53. What is the remainder when v is divided by s?
26
Let n(k) be the second derivative of -k**4/12 - 5*k**3/2 + 6*k**2 + 20*k. What is the remainder when n(-9) is divided by 23?
20
Let i(j) = 2*j**2 + j + 5. Let z be i(4). Suppose 106 = 7*t - z. Calculate the remainder when 41 is divided by t.
20
Let f(n) = n + 13. Let z be f(-11). Let r(v) = 6*v**2 + 2*v - 1. Suppose 2*b = 6*b - 40. Calculate the remainder when r(z) is divided by b.
7
Suppose -3*q = -3*v - 7722, -2*q - 2*v + 7841 - 2673 = 0. Calculate the remainder when q is divided by 89.
87
Suppose x - 36 = 40. Let b = x + -47. Calculate the remainder when 86 is divided by b.
28
Let i(j) = j**2 - 7*j - 12. Let y be i(9). Suppose 0 = y*h - 16 - 350. Calculate the remainder when h is divided by 13.
9
Suppose -4*g - 20 + 0 = 0, 2*f - 82 = 2*g. Calculate the remainder when f is divided by 4.
0
Let g = 6 + -8. Let m be ((-77)/22)/(g/12). Suppose 0 = -3*j + m + 12. Calculate the remainder when 31 is divided by j.
9
Let b = 211 + -183. Let h(c) = 10*c - 3. What is the remainder when b is divided by h(2)?
11
Suppose 0*m = 4*m + 48. Let i be m/2*(-16 - -14). Suppose 4*y - 12 = i. Calculate the remainder when y is divided by 3.
0
Suppose -2*m + 0*m = -112. Suppose -5*t + 159 = -m. Suppose -3*f + 14 + t = 0. Calculate the remainder when f is divided by 10.
9
Calculate the remainder when 4 + 6824/8 + 5 is divided by 16.
14
What is the remainder when ((-66)/(-88))/(2/696) is divided by 12?
9
Suppose -3*p - r + 81 = 0, -79*p + 5*r = -77*p - 71. Let m = 0 - 3. Let q(j) = j**3 + 4*j**2 - 2*j. Calculate the remainder when p is divided by q(m).
13
Suppose 0 = 56*h - 51*h - 395. Suppose -3*o - h = -649. Calculate the remainder when o is divided by 16.
14
Let l(w) = -w**2 + 10*w + 6. Let h be l(7). Suppose 0 = 22*r - h*r + 55. What is the remainder when 74 is divided by r?
8
Let x = 298 - 205. Let n = -1952 - -1964. What is the remainder when x is divided by n?
9
Let z(m) =