0
Let t = 24/929 + -57197/20438. Let o(y) = y**2 - 14*y + 5. Let x = 14 + -4. Calculate the common denominator of t and o(x).
22
Suppose 37700*i - 37707*i + 154 = 0. What is the lowest common multiple of i and 246?
2706
Suppose 3*r - 29 = -2. Let f = -8893 + 88847/10. Calculate the common denominator of (r/(-48))/(1/17) and f.
80
Suppose -47 + 31 = 4*f. Suppose -4*u = -7*u. What is the common denominator of (-28)/(-120) - u/f and 53/12?
60
Let b = -7599883/126 - -60316. Find the common denominator of 11/448 and b.
4032
Suppose -15*y + 12 = -17*y. Let g be 0 - 1 - (1775/135 + y). Let r = g + -865/54. Calculate the common denominator of r and 65/9.
18
Let w be ((-18)/(-7))/((-13)/182). Calculate the common denominator of 71/72 and (-186)/w + -1 - 7.
72
Suppose z + 28 = 3*f, -4*z - 17 + 33 = 4*f. What is the common denominator of ((-9)/2160*4)/(f/(-290)) and -13/6?
48
Suppose -u - 4*c - 24 = 0, -96 = 3*u - 0*c + 4*c. Find the common denominator of (u/42)/((-13)/28) and 89/2.
26
Calculate the common denominator of 91/774 and 14/49 + (-13915)/4725 - 16/(-40).
2322
Suppose -p = -1 + 4, 179 = -2*n + 5*p. Let r = -34 - n. What is the smallest common multiple of r and 15?
315
Let a = -49773/226 + 8062081/4746. Let p(l) = -19*l**2 - 14*l + 561. Let h be p(10). Let m = a + h. What is the common denominator of -115/12 and m?
84
Calculate the common denominator of -4*(222/(-1295))/(6348/(-40)) and 2/77.
40733
Find the common denominator of -21/1780 and -20 - (18870/(-1100) + -4).
19580
Let p be 2/6 + (-9)/((-85320)/1450). Let j be ((-2)/4)/(158/768). Let h = p - j. Calculate the common denominator of 47/26 and h.
156
Let s(b) = -b**3 + 8*b**2 + 4*b + 1. Let m(w) = w. Let l(r) = 2*r - 5. Let d(y) = l(y) + 3*m(y). What is the least common multiple of d(7) and s(8)?
330
Let r = 224/39 - 3079/312. What is the common denominator of 0 + 1 - -2 - 357/54 and r?
72
Suppose 0 = -9*y - 101*y + 8580. Calculate the smallest common multiple of y and 156.
156
Let x(v) = -v**3 + 5*v**2 + 3*v + 6. Let n be x(6). Let k be 22/(-4)*(2368/n + 2). Let c = k + -1064. Calculate the common denominator of c and 85/48.
48
Suppose 2*k - 14 = -2*i, -2*k - 4 + 27 = 5*i. Suppose 0 = -d - i + 7. Calculate the least common multiple of d and ((-924)/18 + 52)*(0 - -24).
16
Let c(h) = -1. Let g(r) = 2*r - 22. Let l(n) = -22*c(n) - 2*g(n). What is the lowest common multiple of l(13) and 146?
1022
Let x be (1 + 1314 + 2)*3/9. Let m = x + -134. Find the common denominator of (1 + -2 - -3)/(20/m) and 97/16.
16
Suppose -5*g + 108 = 4*u, -5*g + 28*u - 23*u + 135 = 0. What is the least common multiple of g and 138?
552
Calculate the common denominator of 5/(135/(-156))*61/3660 and 31/135.
135
Let h = -209233433/560 + 373631. Find the common denominator of h and 163/30.
1680
Let s = -193635/9332 - 1/2333. Let l = -6673/16974 + 4/943. Find the common denominator of s and l.
36
Let i be 6 + (-5 - (-1 + -1)). What is the lowest common multiple of 3/6*1*40 and 3 + (4 - -1 - i) + -1?
20
Suppose 2*x - 4*a = 22, 22 = 4*x - 4*a - 14. Calculate the common denominator of x - 3/(2187/5013) and 55/12.
324
Let d(i) = i**3 + 13*i**2 - 122*i - 97. What is the least common multiple of d(-19) and 275?
275
Let j be ((-4)/(-5))/((-1)/5). Let o(m) = -m**3 - 10*m**2 - 8*m + 14. What is the lowest common multiple of ((-42)/(-12))/((-2)/j) and o(-9)?
35
Let m = 460 + -452. Calculate the smallest common multiple of m and 390.
1560
Suppose -k - 2*v + 17 = 11, 38 = 3*k - 4*v. What is the smallest common multiple of 321 and k?
3210
Let s(j) = 5*j. Let h be s(3). Suppose 8*c - 49 - h = 0. Calculate the smallest common multiple of c and 8.
8
Let k = 3678 - 3658. Calculate the lowest common multiple of 2534 and k.
25340
Let s = 19 + 17. Let u = 108 - 92. Suppose u*a - 85 = 43. What is the lowest common multiple of s and a?
72
Suppose -b - 32 = 8. What is the common denominator of (-75)/b*(-3)/(-60) and 83/12?
96
Let g = -2/235 + 1661/1880. Find the common denominator of g and -69/26.
104
Suppose 5*p + 2*a = 6*a + 22, 4*p - a = 11. Suppose -2*c - p*w = -14, -8*c = -12*c + 5*w + 46. What is the lowest common multiple of 72 and c?
72
Let m = 32 - 20. Suppose -9*x = -12*x + m. Calculate the smallest common multiple of 160/100*50/x and 2.
20
Suppose 8*s + 4*q - 2648 = 0, 5*s + 17*q = 15*q + 1657. What is the least common multiple of 33 and s?
3663
Suppose -22*t + 16 = -14*t. Find the common denominator of 327/4*(-4)/(-66) and -3 + ((-111)/(-6) - t).
22
Suppose -49*w + 171*w - 56993 = -13073. What is the lowest common multiple of w and 680?
6120
Let t = -347564 - -290911019/837. Calculate the common denominator of t and 20/2697.
24273
Calculate the common denominator of (-4 + (-796)/(-88) - 5)/(21/(-130)) and -47/528.
3696
Suppose -4*z - 595 = -2*z + 5*k, 591 = -2*z - k. Let h be ((-5)/(50/12))/(2/z). Let b = -4955/28 + h. Calculate the common denominator of -87/32 and b.
224
What is the common denominator of -11/386 and (1 + 170/(-32))*(-521 - -523)?
1544
Let s = -39998 - -161293/4. Let z = -1743585/8 - -218278. Let t = s - z. Calculate the common denominator of t and -11/5.
40
Let d(q) = q**3 - 8*q**2 + q + 2. Let f be 10/(-70) + 880/(-14). Let y = f + 145. What is the least common multiple of d(8) and y?
410
Let s(g) = g**2 + g - 20. Let t be s(-6). Suppose y + 1 = t. Let j(n) = 2*n**2 + 6*n - 9. What is the lowest common multiple of y and j(3)?
27
Let r = -217980769/850 - -256448. Calculate the common denominator of 109/2040 and r.
10200
Suppose -2*f + 322 = 4*n, 103 + 508 = 4*f - 3*n. Find the common denominator of (-70)/665 + f/209 and 75/8.
88
Let c = 172191/28 - 6151. Calculate the common denominator of c and -32/3.
84
Let p(r) = 5*r**2 + 130*r + 27. Calculate the smallest common multiple of p(-26) and 228.
2052
Suppose 5*o + o + 756 = 0. Let t = 142 + o. Calculate the least common multiple of t and 2.
16
Calculate the common denominator of (46/(-3) - 900/(-60)) + (-35)/(-99) and 34/(-15)*10/(-27).
891
Suppose 280 = 5*m - 5*o, 3*m - o - 241 = -75. Calculate the lowest common multiple of m and (1 - 12/9) + 1248/72 + 18.
385
Let p = 8/259 + -20246/34965. Calculate the common denominator of p and 107/366.
16470
Let p = -141196 - -38122817/270. Find the common denominator of 119/270 and p.
270
Let f = -15229427/323 - -47150. Let r = 24315/10336 - f. Calculate the common denominator of 101/32 and r.
32
Let g(w) = -w**3 + 4*w**2 + 2*w - 2. Let q = 6522 - 6512. What is the lowest common multiple of q and g(4)?
30
Suppose 5*s - 7*o = -4*o + 5055, 5*o - 5095 = -5*s. Calculate the lowest common multiple of 234 and s.
3042
Let p be 18*20*32/120. What is the common denominator of -43/14 and -9 + 638/p + 4?
336
Let x(u) = 6*u**2 - 91*u + 18. Suppose -225 = 8*m - 13*m. Calculate the lowest common multiple of m and x(15).
45
Let z = 894841242/3421 + -261573. Calculate the common denominator of z and -19/3421.
3421
Suppose -49*j + 1593 = -563. Suppose 29*k = 33*k - 32. Calculate the lowest common multiple of j and k.
88
Let q = -731301/5396 - -2574/19. Find the common denominator of -53/36 and q.
2556
Suppose 3*d - 22*d = -133. Let o(l) = l**3 - 2*l - 1. Let y be o(2). Suppose -3*j = -z - 14, -y*z - 1 = z - j. What is the lowest common multiple of z and d?
7
Let v = -921985845/1192 - -773478. Find the common denominator of v and 67/3874.
15496
Let d(y) = 23*y + 195. Let i = 577 - 584. Calculate the smallest common multiple of 14 and d(i).
238
Let r = -92 - -32. Let h = 1421/11 - 129. Calculate the common denominator of (232/r)/(1/(-5)) and h.
33
Suppose 13*k = 9*k - 5*y - 5, 0 = 2*k - 2*y - 20. Suppose k*h = 568 + 392. Suppose -14*b + h = -6*b. What is the lowest common multiple of b and 18?
72
Let o be (-5 + 55/10)*8. Let i(c) = -349*c**3 + 3*c**2 + 6*c + 1. Let u be i(o). Let f = 712493/32 + u. Calculate the common denominator of 35/24 and f.
96
Let r = 665243/54 - 12320. Calculate the common denominator of 25/426 and r.
3834
Suppose -b + 3*b = -16. Let q = 388 - 382. Calculate the lowest common multiple of q and (2 - b/(-3))*-6.
12
Suppose -2*s + 3*r + 1938 = 0, -s = 299*r - 298*r - 979. What is the least common multiple of s and 15?
975
Let n be (0 + 3)*16/24. Suppose 0 = -7*a + n*a + 120. Let q(t) = -t**3 - 2*t**2 - 9*t - 16. Calcul