5)*25/21.
63
Let c = -10959909/122 + 89836. Find the common denominator of -79/8 and c.
488
Let n(q) = -5 + q**2 + 14*q - 3*q**2 + q**2 - 5*q. Let p be n(5). What is the least common multiple of 10/(-70) + p/7 and 8?
8
Suppose 0 = -34*d + 43134 - 7774. What is the smallest common multiple of 325 and d?
5200
Let h = -2207 + 52957/24. What is the common denominator of 317/728 + -1 - 17*(-8)/884 and h?
168
Let i(a) = -a**2 + 112*a - 1332. Suppose 3*o + v - 16 = -o, -v + 4 = o. Calculate the smallest common multiple of i(98) and o.
40
Suppose 0 = 5*r - r - 120. Suppose 86*q = 83*q + r. Calculate the lowest common multiple of q and 98.
490
Let q(t) = -34*t + 683. Suppose 4 = -4*o - 4, 4*u - 3*o = -1322. Calculate the least common multiple of 3/(-6) - u/8 and q(20).
123
Let i(r) = 11*r - 214. Let b be i(19). Calculate the common denominator of 1/54 and 7/(2 + (b - (-99)/21)).
108
Let o = -834881/350966 - -1/47859. Calculate the common denominator of o and -35/869.
5214
Suppose 4*b + w - 2593904 = 0, 5*b - 3242380 = 6*w - w. Let j be b/816 + 8/(-68). Let q = -789 + j. What is the common denominator of q and -137/6?
12
Let n(p) = 5 - 3*p + 7*p**2 - 5 + p**3 - 1. Suppose 0 = y + 3*v + 8 + 14, -y = -4*v - 13. What is the smallest common multiple of 18 and n(y)?
180
Suppose 14*g = 13*g - 5. Let x(o) = -o**2 - 9*o - 14. Calculate the least common multiple of 8 and x(g).
24
Suppose 12 = 2*q, -395*q + 400*q = -5*f + 305. Calculate the lowest common multiple of 41 and f.
2255
Calculate the lowest common multiple of 39/(0 + -3 - -4) and ((-117)/1)/(12/(3 - 15)).
117
Let w(r) = -r**3 + 4*r**2 + 2*r + 12. Let u be w(5). Let y be (-8)/12*u*(-139)/(-2). Suppose 4*d = y - 7. What is the least common multiple of 24 and d?
264
Let s be 16/24 - 1441315/(-630768). Let p = 285/1546 + s. Let i = -85/16 + p. Find the common denominator of -50/11 and i.
187
Let q = -8121 - -10107. What is the smallest common multiple of q and 66?
21846
Let o = 3/5477 + 65241/881797. Let w = o - 1199/966. Let g = 317573/20 - 15873. What is the common denominator of w and g?
60
Let x be (-6)/(-8) - 429798/120. Let p = x + 3591. What is the common denominator of -75/16 and p?
80
Let r = 76831/14 + -352235/63. Let d = 872/9 + r. What is the common denominator of d and 3/142?
994
What is the common denominator of -73/504 and 15/(-93 - -3) + (-88)/(-315)?
2520
Let q = 30 - -30. Suppose 0 = -9*y + 3*y + q. Calculate the least common multiple of 34 and y.
170
Let w = -955758103/3444 + 277514. What is the common denominator of 31/2214 and w?
30996
Let b = -177/2 + 395/4. Suppose -3*u + 2*o = -15, 0*u - 2*o = 2*u. Find the common denominator of b and 11*u*133/684.
12
Calculate the common denominator of 41/120 and ((1113/(-14112))/(-53))/((-9)/(-1524)).
2520
Suppose 6*r - 11 - 1 = 0. Let h be (-109460)/(-112) - r/14. Let p = -977 + h. Calculate the common denominator of p and 99/4.
28
Suppose 3*f = 12, 5*t - 149 = f - 63. What is the lowest common multiple of t and 858?
2574
Let m = 1585 - 1581. Calculate the least common multiple of 32 and m.
32
Let r(h) = h**3 + 15*h**2 + 16*h - 2. Let y be r(-14). Let s = y - -26. Find the common denominator of 6/s*34/(-4) and 23/8.
8
Let v be ((-1)/6291)/(3/38374) + 2. Let a = 2/233 + v. Calculate the common denominator of 13/6 and a.
162
Suppose 4*q - 20593 = -3*j, 113*q + 5*j = 118*q - 25785. Calculate the least common multiple of q and 10.
25760
Suppose -40 = i + 4*d, i - d - 40 = 2*i. Let r be (-8)/i + 16186/(-80). Let t = r + 7913/40. Calculate the common denominator of 187/30 and t.
30
Let i be (-783460)/(-140) + (-2)/14. Let k = -111893/20 + i. Let o = -577541/26 + 22210. Find the common denominator of k and o.
260
What is the least common multiple of 42/((25/(-1060))/(-1)*(-126)/(-105)) and 4081?
16324
Suppose -24*t + 21*t - 5*l - 21 = 0, 2*t + 5*l + 19 = 0. Calculate the lowest common multiple of 10 and (-148)/(-12) - t/3.
130
Let n(v) = v**3 + 9*v**2. Let y be n(-9). Let g be (15 - 13) + (1 - 2). Suppose -4*l + 33 - g = y. What is the lowest common multiple of l and 8?
8
Suppose -22*r - 395 = -17*r. Let j = r - -47. Let v = -21 - j. What is the lowest common multiple of 11 and v?
11
Let n(w) = -w**3 + 6*w**2 - 222*w - 1097. Calculate the smallest common multiple of 96 and n(-5).
288
Suppose 3*l + l - 144 = 0. Suppose -38*d + 12 = -l*d. What is the least common multiple of (-1 + 3/21)/(d/(-42)) and 20?
60
Suppose 3*q = 6, 38*z - 3*q - 32 = 37*z. Calculate the lowest common multiple of 184 and z.
3496
Let k = 1777211/48 + -37028. Calculate the common denominator of -97/96 and k.
96
Suppose -2*b = -0*b, -4*k + 5*b = 20. What is the common denominator of -103/28 and k + 10 + 956/(-112)*1?
28
Suppose -247*j - 24 = -250*j. Suppose -5*d - 3*k + 108 = 0, d = j*k - 6*k + 19. What is the least common multiple of d and 12?
84
Suppose -2012*y + 2015*y - 5*o - 110 = 0, 5*y - 234 = 2*o. Let c(b) = -b**3 + 4*b**2 + 7*b. Calculate the lowest common multiple of y and c(5).
50
Let t = 757/32 + -8845/288. Find the common denominator of t and -3/10.
90
Suppose 4*h - 3*s - 6 - 12 = 0, 1 = -3*h - 5*s. Suppose 13*l = 10*l - 40*l - 172. Find the common denominator of -18/5 and (h - (-20)/l) + (-14)/15.
15
Let b = 560/363 + -16/847. Suppose -9*p - 736 = -41*p. What is the common denominator of b and (11 + (-77)/22)*p/9?
42
Suppose h - 7 = -4*v, -5*v - 10 + 5 = 0. Let s be 4 - (-1*34 - 2). Suppose -3*q = -s + 16. Calculate the smallest common multiple of h and q.
88
Let k = 536981/297 - 1808. Calculate the common denominator of (-161)/230*((-205)/15 - -5) and k.
1485
Find the common denominator of 29/128 and (-5 - 5*(-9)/(-45)) + 7569/1200.
3200
Suppose r = 4*s - 26, -5*r + 0*s = -2*s + 94. Let d = r - -53. What is the lowest common multiple of 40 and d?
280
Let i = -7395/8 + 598639/648. Find the common denominator of i and -41/10.
810
What is the common denominator of (35 - (-21966)/(-630)) + 0 + (-698)/735 and 27/1421?
1421
Let h = 13632 + -16058489/1178. Calculate the common denominator of -73/62 and h.
1178
Let z = 682 + -30667/45. Let y = -5767 + 547878/95. Let d = 6326/285 + y. What is the common denominator of d and z?
45
Suppose -7*m + 2*m + 225 = 0. Let q = m - 41. Find the common denominator of 1/10 and 0 + -1 + q/((-16)/(-78)).
10
Suppose -3*i + 24 = 4*t, 4*t - 36 + 8 = -2*i. What is the common denominator of 4 - t/((-486)/(-444)) and 61/153?
153
Let v(s) = -s**3 - 27*s**2 + s + 31. Let j be v(-27). Suppose -60 = j*h - 9*h. What is the smallest common multiple of 20 and h?
60
Let n be (-3 + 21)/(-3) - -4. Let v(f) = 11*f**2 - 4*f**2 - 4*f - 2 - 4*f**2. What is the least common multiple of v(n) and 6?
18
Let o = 204 - 211. Find the common denominator of 104/(-78) - o*(-8)/54 and 103/105.
945
Let w be (-6)/18 + (157480/12)/(-5). What is the common denominator of 17/24 and ((-5)/70)/(18/w)?
24
Let y = 7 - 2. Let m(u) = -7*u + 9*u + 8*u + u + 3*u - 24. What is the common denominator of m(y) and 10/9?
9
Let x = 5072/8541 - -1/5694. Calculate the common denominator of 79/8 and x.
936
Let m = -825103/68418 + 2122/181. Calculate the common denominator of m and 55/567.
1134
Let f(w) = 626*w - 9. Let a(t) = t**2 + 9*t - 25. Let b be a(-11). Let g be f(b). Find the common denominator of 13/36 and (g/255)/(2*(-8)/(-10)).
72
Let k = -3/460 - -4397/4140. Calculate the common denominator of (254/72)/((-6)/(1 + 11)) and k.
18
Suppose -4*t = -4*t - 8*t. Suppose t = -8*z + z + 539. Calculate the lowest common multiple of 42 and z.
462
Let b = 143853/3848 - 487/13. Find the common denominator of -101/16 and b.
592
Let r = 392 - 356. Suppose -106 = r*x - 538. What is the least common multiple of x and 51?
204
Let n = 18639/2 + -8792. Let c = n + -501. Let k = -223/14 - -4574/301. Calculate the common denominator of c and k.
86
Suppose -3*k - 376 = -5*k. Suppose k = 15*x - 11*x. Suppose -5*y - 2*r + 38 = 0, 5*y - 5*r + 2 - x = 0. Calculate the smallest common multiple of y and 13.
104
Let q = 1303 + -3953/3. Suppose -384*v - 594 = -390*v. Suppose -5*t + 165 = -o, -3*t + 3*o + 0*o = -v. Calculate the common denominator of t and q.
3
Suppose -3*g + 57 = -3*v, 2*g + 23*v = 26*v + 33. Suppose r + g*c - 509 = 27*c, -2047 = -4*r + c. Calculate the smallest common multiple of r and 2.
512
