-3*r - 90 = -8*r. What is the lowest common multiple of r and 50 - (2 - 3) - (-19)/(-38)*12?
90
Let k = 262/113 - 18913/2260. Let u = 3/250 - 1631/500. Find the common denominator of k and u.
20
Let s(m) = m**3 + 9*m**2 + 7*m + 19. Let t be s(-8). Suppose 0 = t*x - 11*x - 784. Calculate the lowest common multiple of 7 and x.
49
Let d = 95790333/40 + -2394932. Let n = d - -829/5. Let h = 333/19 - 4507/152. Find the common denominator of n and h.
8
Suppose h + 225 = -1692. Let r = h + 7597/4. What is the common denominator of r and 67/44?
44
Let l(j) = 7*j**2 + 135*j + 129. Calculate the smallest common multiple of l(-27) and 184.
12696
Let v = 21543 + -21512. Let j = -3 - -5. Suppose 0 = -5*m + j*n + 2, 1 + 9 = -5*m + 5*n. What is the least common multiple of v and m?
62
Let c be ((-2)/(-4))/((-68915)/(-3433198)). Let r = 1/6265 + c. Let t = -519/22 + r. Calculate the common denominator of t and -79/6.
66
Suppose -3*h + q - 2*q = 6, -5*q - 12 = -3*h. Calculate the smallest common multiple of h/10 + 181/10*1 and (-2)/(-1) + (2 - 0).
36
Let t = -185 - -185. What is the common denominator of -1 - (-2)/(-7) - t and -24/5?
35
Let s = -34/9727 - 1581421/1167240. Find the common denominator of -163/120 and s.
120
Let g be (-2)/4 + (-35)/30*-3. Suppose -a = -g*u + a + 67, -4*a = 2*u - 18. Let y = u - 12. What is the least common multiple of y and 3?
21
Let k(l) = -l**3 + 9*l**2 + 2*l - 11. Suppose 0 = 4*p - 2*p - 106. Let y = p + -49. What is the least common multiple of k(9) and y?
28
Let h be (-1)/(-7) - (0 - 198877/(-49)). Let k = h - -4067. Calculate the common denominator of k and (37 + 1)*1/(-37).
259
Let b = 22469 - 449281/20. What is the common denominator of 35/708 and b?
3540
Suppose 623*s - 2343047 = 1553818. What is the smallest common multiple of 21 and s?
43785
Let f = -10861 + 141120/13. Let g = f - -2315/234. What is the common denominator of g and -35/24?
72
Let g(v) = -3*v**2 - 137*v - 198. What is the lowest common multiple of g(-44) and 2?
22
Let w be -1 + (0 + -5)*-1. What is the common denominator of (11/w)/(2/(-6)) and 42/(-2) + 311/16?
16
Let y = -8404 + 8548. Calculate the smallest common multiple of 56 and y.
1008
Let y = -14127 - -1398623/99. Let t = -4519/396 - y. Find the common denominator of t and 2/69.
276
Let h = 5265607/655822 + -2148/269. Calculate the common denominator of -77/230 and h.
12190
Let m = 12898 + -12859. Calculate the smallest common multiple of m and 6.
78
Let o be ((-5)/3)/((-11)/33). Suppose 3*a + 4*z - 2 = 9, o*z = a - 29. Calculate the smallest common multiple of a + 9 - (-12)/(-3) and 14.
14
Let m(r) = -16*r - 62. Let u be m(-11). Suppose 0 = 102*k - u*k + 1080. Calculate the least common multiple of k and 40.
360
Let c be 6 - 2*66100/(-24). Let j = 364109/66 - c. Calculate the common denominator of j and -5/54.
594
Let u(d) = 6*d**2 - 2*d + 1. Calculate the least common multiple of u(1) and 30*(-2 + 5 - 112/40).
30
Suppose -5*z - 84 = -299. Let c = -55525/3 + 222173/12. Find the common denominator of c and z/12 - 3/(-6).
12
Calculate the common denominator of 57/91 and (24 - 25) + (-10)/(-14).
91
Let d be (5 - 6)*(-20)/4. Suppose -17*w + 15*w + 4 = 4*u, -5*w + 10 = -d*u. What is the lowest common multiple of w and 44?
44
Suppose -35*d - 375900 = -393*d. Calculate the lowest common multiple of 294 and d.
7350
Calculate the common denominator of -890*(12 + 29372/(-2448))*1/(-15) and 79/18.
918
What is the common denominator of (22 - 15)/7 + 114/(-44) and 113/330?
330
Let q = 152617 + -65930455/432. Find the common denominator of q and 2/6 + 319/60.
2160
Let m = -40 - -52. Let z be 6/2*(7 - (-580)/(-12)). Let s = 120 - z. Calculate the lowest common multiple of m and s.
732
Suppose -2*y - 3 + 9 = 0. Suppose -3*v = -4*m - 2 - 0, -v = m - y. Calculate the common denominator of -41/2 and (v/(-24))/((-6)/261).
8
What is the lowest common multiple of 6 + (-117)/(-13) - -165 and 72?
360
Suppose 7*w - 620 - 276 = 0. Calculate the common denominator of 9/20 and ((-74)/12 - -3)/(w/12).
320
Suppose 3*n + 2*n = 25. Let x(q) be the second derivative of q**4/12 - q**3/2 - 5*q**2/2 - 2*q - 64. What is the lowest common multiple of x(n) and 11?
55
Find the common denominator of ((-210)/140)/(((-16)/9)/(-4)) and 1262/(-140) - (-4)/(-14).
40
What is the least common multiple of ((-2712)/34)/(-1 - 1) - 16/(-136) and 240?
240
Let l(j) = 129*j - 1012. What is the lowest common multiple of l(8) and 7126?
71260
Let m = -5695129/6 - -946048. Let n = m + 3147. Find the common denominator of n and (-2)/(-13) - 3175/780.
12
Let g(j) be the second derivative of -j**5/20 - 7*j**4/6 - 7*j**3/3 + 5*j**2/2 - 2*j. Let r = 1264 - 1277. Calculate the lowest common multiple of g(r) and 12.
36
Let s(l) = -l**3 + 15*l**2 - 90*l + 226. Let v = -971 - -1675. What is the least common multiple of v and s(6)?
3520
Let a = 15340 - 11494. Calculate the least common multiple of 3 and a.
3846
Suppose 117 = 48*n - 267. What is the lowest common multiple of (((-2300)/n)/23)/(2/(-24)) and 45?
450
Let z = -1822 + 1840. Let j(p) = 2*p + 160. What is the least common multiple of z and j(0)?
1440
Let q = 248621/38446 + -615/94. What is the common denominator of q and -25/26?
10634
Let t = -1118 + 1490. What is the lowest common multiple of t and 18?
1116
Suppose 2*z - 39 = 5. Let d be (-1)/(-5) + (-162)/(-15) + 4. Calculate the smallest common multiple of (5*21/35)/(9/d) and z.
110
Let y(a) = -a**2 + 19*a - 33. Let m be y(17). Let r(d) = 9*d**2 + 3*d - 2. What is the smallest common multiple of 28 and r(m)?
140
Let u(h) = -4*h**2 - 56*h - 60. What is the smallest common multiple of 66 and u(-8)?
132
Find the common denominator of ((-58)/(-6))/(24/20*(-2)/(-6)) and 41/1434.
1434
Calculate the common denominator of 2/(-15)*74/32*(-2 + -8) and 117/28.
84
Let g be 2141/14*(-15)/522. Let u = -9/406 + g. What is the common denominator of (-9266)/(-1968) - 4/32 and u?
12
Suppose -23*i + 9592 + 18238 = 0. What is the least common multiple of i and 220?
2420
Let x(y) = y**3 - 10*y**2 - 10*y + 1. Let r be (13 - (3 + -1))/1. What is the smallest common multiple of (-6)/(65/40 - 2) and x(r)?
48
Find the common denominator of 37*(-2)/(13 - 5) and ((-8)/(-740))/(28/(-1785)).
148
Let h = 179477/63 + -2849. Let f = 18354 - 826001/45. What is the common denominator of f and h?
315
Let n(r) = -5675*r - 36. Let z be n(-6). Let i = z - 2449069/72. Calculate the common denominator of 89/36 and i.
72
Let p(r) = 838*r - 5855. Let t = 22 - 13. Calculate the lowest common multiple of t and p(7).
99
Suppose 0 = -10*c + 29 + 11. Calculate the lowest common multiple of 4 and 9 + -5 - (c - 2 - 121).
492
Let j = -74611/634494 - -890108707/422391720. Let i = j - 24/1631. What is the common denominator of 44/25 and i?
200
Suppose -82 = -4*v + 7*m, 0 = 3*v - 2*m - 88 + 20. Let d = 439/99 + -35/9. What is the common denominator of v and d?
11
What is the common denominator of (44/8)/(3/(-21)) and 455/750 + (-1)/(-3)?
50
Find the common denominator of -1*(1 + (-7227)/6512) and 79/24.
1776
Let q = 1581707/15875118 + 5/35998. Calculate the common denominator of q and 7/27.
1323
Let o = -1831579/44 - -41625. What is the common denominator of o and 19/319?
1276
Let u(j) = 2*j - 5. Let f = 34 + -14. Suppose f = -16*n + 20*n. Calculate the least common multiple of 4 and u(n).
20
Let c be 654*(3 + 68/(-22)). Let g = 29782/495 + c. Find the common denominator of g and 1/132.
1980
Suppose -c - 395*q = -390*q - 460, -q = 2*c - 902. Calculate the least common multiple of 15 and c.
450
Let j(r) = 4*r**2 + 42*r + 97. Let n be j(-21). Let g = 1281 - n. What is the least common multiple of g and 20?
3020
Suppose -5*p + 1665 = -3*y, 0 = -y + 3*p - 529 - 22. Let g be ((-26)/169)/(y/(-36766)). Let i = g - -1/1820. What is the common denominator of 79/8 and i?
40
Let y(f) = -3*f**2 - f + 4. Let s be y(-2). Let r be 66/9 - (-2)/s. Suppose -5*z + c = -r - 59, -3*z - 5*c = -62. What is the lowest common multiple of z and 2?
14
Suppose -n - b - 4*b = -24655, 2*b = 5*n - 123194. Suppose 13*a - 8*a - n = 0. Let l = -236395/48 + a. What is the common denominator of 20/9 and l?
144
Let i be (147/(-14))/(-21)*(-4724)/(-1). Suppose -14*h = -i - 550. What is the smallest common multiple of h and 2?
208
Let q(j)