*2 + 5*p - 10. Let h be v(7). What is the common denominator of 4/h*(-81)/(-10) and (-110)/(-44) - (122/56)/((-11)/(-44))?
140
Suppose -6 = -2*t - h - 3*h, 0 = -h. Let n(y) = 2*y**2 + 4*y + 3. Calculate the lowest common multiple of t and n(-11).
201
Let t = 2881249/4456881 + -1/135057. Calculate the common denominator of t and 0 + 2 - (-255)/24.
792
Let k = 87169 - 3486811/40. What is the common denominator of k and (-309)/(-360) - (-1)/(-3)?
40
Let m be (2/(-4) - -2)/(8/608). Suppose 3*c - 5*g + 77 = 0, 4*c + m = -0*g + g. Let w = -56 - c. Find the common denominator of -42/5 and w.
5
Suppose -3*s - 44 = -4*f, -11 = 4*s + 2*f + 11. Let p be -86 - (64/14 - s/(-14)). Calculate the common denominator of 53/18 and (-1 - (-2)/4)/(p/(-27)).
180
Let g = 31351 + -31144. Calculate the lowest common multiple of g and 1242.
1242
Let u = 1249603285/1443 + -865976. What is the common denominator of u and -43/312?
11544
Let a = 9522 - 9495. Suppose 5*x = -20 + 5. Let m = 18 - x. Calculate the least common multiple of a and m.
189
Let w = 680984 + -1511784559/2220. Find the common denominator of -38/1665 and w.
6660
Suppose -159*x + 154*x + 40 = 0, -3*x - 66 = -3*f. Let w(b) = 3*b**2. Calculate the smallest common multiple of f and w(-2).
60
Find the common denominator of -163/300 and (41/41)/(7/2) + (-9470)/26040.
9300
Let p = 544 + -274. Suppose -p + 290 = 5*i. Calculate the smallest common multiple of i and 12.
12
Let h = -1964 - -2744. Calculate the least common multiple of h and 110.
8580
Let c = -255107/26 - -9816. Calculate the common denominator of (-517)/99 + (-4)/(-6) and c.
234
Let s(q) = -q**2 + 17*q + 48. Let a be s(14). Let i = -2434/27 + a. Find the common denominator of 62/45 and i.
135
What is the common denominator of -47/735 and ((-539)/(-441))/(3/90*(-735)/(-12))?
735
Let l = -244837/55104 + 731/164. Find the common denominator of l and 209/420.
6720
Let z = 2/14865 + 23449/34685. What is the common denominator of z and -109/1050?
1050
Suppose -299*j + 2211 + 3609 = -202*j. Let z = 51 + -26. What is the least common multiple of z and j?
300
Let s be (-5 + (-84)/(-20))*-5. Suppose -2*q + 28 = -n, s*q = 5*n - 5 + 73. What is the smallest common multiple of q and 27?
108
Let v = -115455 + 26554591/230. Calculate the common denominator of v and -35/92.
460
Let u(d) = -d**2 - 21*d - 47. Let o be u(-17). Let n = 1/39 + 815/156. What is the common denominator of 27/o*10/(-6) and n?
28
Suppose 90*z - 2308 + 148 = 0. Calculate the least common multiple of 501 and z.
4008
Let z = 10141/28 + -2670/7. Calculate the common denominator of z and 89/400.
400
Suppose -10 = -0*v - v. Let r(z) = 9*z - 4. Let h be r(-12). What is the lowest common multiple of 9/(-6)*h/21 and v?
40
Let h be 12/8*4/2. Calculate the common denominator of 86/15*h/4 and (-488)/(-39) + (-6)/(-39).
30
Let g = -402 + 428. Let y(p) = 3*p + 1. Let w be y(0). Calculate the lowest common multiple of w + (-1 - (-28 + 4)) and g.
312
Let t = 1413 + -1329. Suppose 0 = -8*b + 7*b + 4. What is the lowest common multiple of t and b?
84
Let q be 58/8 - (-13)/(-52). Calculate the least common multiple of (-440)/(-56) - (-1)/q and 5.
40
Suppose -2*q = -4*c + 13675 - 863, -5*c + 16060 = 5*q. Calculate the least common multiple of 28 and c.
6412
Suppose 0 = 37*n - 20*n + 276*n - 35160. What is the smallest common multiple of n and 36?
360
Let g(s) = -s**2 - 76*s + 160. Calculate the lowest common multiple of 1120 and g(0).
1120
Suppose 23*k + 35 = 30*k. Suppose -4*j - k*h + 0 = -19, 4*j - 24 = -4*h. Calculate the least common multiple of j and 2.
22
Suppose -21*m - 5*m + 260 = 0. What is the common denominator of (m/(-20))/((-16)/(-202)) and 69/304?
304
Let x = 1296 + -11639/9. Find the common denominator of x and -41/73.
657
Suppose 0 = -13*o + 13 + 13. Suppose -o*i + 19 = 3*w, -5*i + 39 = 5*w - 6. Suppose i*l - 5*l - 24 = 0. Calculate the smallest common multiple of 4 and l.
8
Let c(j) = -7*j**3 - 6*j**2 - 2*j - 1. Let m(h) = 14*h**3 - 3*h**2 + 41*h - 84. What is the least common multiple of m(2) and c(-3)?
980
Let y = -1910/897 + 141/46. Let p = -35302 + 2294583/65. Find the common denominator of p and y.
390
Let v = 17197/1470 + -88/147. Let b = 1/1552 - -57419/7760. What is the common denominator of v and b?
10
What is the common denominator of (-9 + 408/42)/7 and -30/301?
2107
Let s(i) = 145*i - 4. Let h be s(-2). Let g = -9272 + 83492/9. Find the common denominator of 175/h + (-4)/6 and g.
126
Let r = -14 - -19. Suppose -s - 827 = -2*x - 3*x, -831 = -r*x + 3*s. Find the common denominator of 67/2 and 2/(-3) - (-1034)/x.
10
Let n(y) = -2*y**3 - 24*y**2 + 33*y + 14. Calculate the smallest common multiple of n(-14) and 48.
336
Let s(m) = 2*m**2 - 5*m - 10. Let y be s(-8). Let j = y + -509/3. What is the common denominator of j and (-407)/74*2/6?
6
What is the lowest common multiple of 342 and ((-4)/(80/52))/(13/(-65))?
4446
Let l(n) = -2*n**3 + 16*n**2 + 8*n - 8. Let b be l(8). Let u = b + 84. What is the common denominator of 59/22 and (5/u)/((-2)/412)?
154
Let j be 1723698/(-1105) - 11/(44/(-24)). Let t = j - -1553. Find the common denominator of t and 7/8.
520
Suppose 3*u + 4*w - 414 = w, 0 = -2*w + 4. What is the common denominator of -55/36 and 39/u*(-5 + 328/72)?
612
Let i = 1621602597/22 + -73725793. Let v = 16580 + i. What is the common denominator of v and -27/4?
44
Let i = -110 + 110. Suppose i = -4*z + 246 - 58. Suppose 4*m + z = 159. What is the least common multiple of 36 and m?
252
Calculate the common denominator of (8/(-12))/((-864)/594) and 13/592.
1776
Let u(c) = -2*c**2 - 5*c - 95. Let r be u(-7). Find the common denominator of -89/42 and 15/180 + r/120.
210
Let d(r) = 8*r + 8. Let c be d(-2). Let u be (-2 - (-2 - 0))*4/c. Find the common denominator of -97/10 and (3 + u - 3) + 69/9.
30
Let n be ((-35)/(-21))/(-5)*-12. Suppose 3*u + k = -n*k + 135, u = 4*k + 62. What is the smallest common multiple of u and 5?
50
Suppose 738*g + 8 = 737*g. Calculate the smallest common multiple of 5/(-5) - (1 + g) and 4.
12
Suppose 2*w + 27 = j, -2*j + 5*w - 81 = -5*j. Let s = -20 + j. What is the common denominator of (4/s)/2 - (-398)/224 and -37/36?
144
Let c(f) = f**2 - 8*f - 6. Let h be c(11). Suppose h*r = 20*r + 252. Find the common denominator of r/(-3) + 4/1 and -17/19.
19
Suppose -3*b = 2*v + 17, 3*v + 2*v + 2*b + 48 = 0. Let c(y) = -4*y**2 - 12*y - 21. Let h be c(v). Let f = 2713/9 + h. Find the common denominator of -18 and f.
9
Let i = -72724646/395433 + 9747/53. Calculate the common denominator of i and 41/90.
74610
Suppose 0 = -11*b + 5076 + 8784. Find the common denominator of 6/45 - (19437/b)/(-11) and 85/112.
112
Suppose 1 = -b, 4*s + 101*b = 97*b + 8. Suppose -3*u + 14 = 5*l, 2*u - 2 = -l + u. What is the lowest common multiple of s and l?
12
Suppose -4*o = -4*z - 1784, 5*o + 4*z - 1755 - 475 = 0. Let x = 281 - o. Let k = x + 701/4. Calculate the common denominator of k and 21/52.
52
Let c(u) = 17*u + 5. Suppose 25*i = 4*h + 21*i - 20, -4 = 2*i. What is the lowest common multiple of c(h) and 8?
56
Let z(c) = 3*c + 14. Let h be z(-8). Find the common denominator of (-4)/(160/63) + 1 and h/85 - 7356/(-2992).
440
Suppose -49*n + 51*n - 900 = 0. Let a = n - 446. Suppose -4*f - 1 = -9. Calculate the least common multiple of f and a.
4
Suppose -2*p + 16 = -3*j, 0 = -0*j + 3*j + 2*p + 20. What is the common denominator of (21/j + 4)*(-3 - -78) and -49/3?
6
Let j = -23833/131850 + 2/2637. Let r = -135/112 - 13/7. What is the common denominator of j and r?
400
Suppose -92*r + 97*r - 4*v + 149 = 0, 2*r + 46 = 5*v. Let l be (-4)/(-6) - (-527)/225. Let a = l + -34/75. What is the common denominator of a and r?
9
Find the common denominator of 167/30 and ((-12)/(-171))/(218/40 + -8).
29070
Let i = 39 + -33. Suppose -i*o - 4*o + 100 = 0. Suppose -4 = v - o. Calculate the least common multiple of v and 9.
18
Let p = -266 - -290. Let b be (-7 - -5) + 897/3. Calculate the smallest common multiple of p and (2/(-3))/((-6)/b).
264
Let g be 923396/(-240)*1 + (-9)/(-6). Let q = 3847 + g. Calculate the common denominator of q and 65/22.
660
Let m be (2 - -18)/(4 - 45/12). Suppose 0 = -134*p + 132*p + m. Calculate the least common multiple of p and 15.
120
Suppose -2*p = -3*j + 20, 36 = -0*j