50
Let t be 1/(-7) - (-489)/(-7). Let p be 20/t + (19749/(-924) - -2). Let h = p + 54/11. What is the common denominator of -33/7 and h?
28
Let r be 1/(12/(-14852) + 0). Let w = -4915/4 - r. Find the common denominator of (-3)/((-42)/8)*(-3696)/(-480) and w.
60
Let n(t) = -t**3 + 3*t**2 + 2*t + 12. Let x = -16 + 20. What is the lowest common multiple of 24 and n(x)?
24
Let z = -678603/10 - -131377/2. Let q = -2160 - z. Let d = 2776/3 + -910. Find the common denominator of q and d.
15
Let b(i) = -i**3 - 5*i**2 + 9*i - 17. Let j = -143 - -136. What is the lowest common multiple of 170 and b(j)?
1530
Let u = 1680175/729564 + 1/22108. What is the common denominator of u and 52/1353?
1353
Calculate the common denominator of -23/629 and (-75)/(-990)*1464/(-1360).
27676
Let x be 4 + 145/(-45) + 2/9. Suppose -3*z + 21 = -z + 3*s, -x = s. Calculate the smallest common multiple of 52 and z.
156
Suppose 28 + 89 = 13*y. What is the common denominator of -20/253 and 2 - 15/y - (-671)/165?
1265
Suppose -4*o - 28 = -5*h, 0 = -2*h - 15*o + 10*o + 31. Calculate the smallest common multiple of h and 734.
2936
Let s = -40/493 - -733/2958. What is the common denominator of 31/1384 and s?
4152
What is the common denominator of (-15)/(-20) - (-7 - (15633/192)/(-9)) and -179/270?
8640
What is the least common multiple of 10 and (78/30 - 3)*-4605?
9210
Let p be -1 + (6/4)/(15/100). Suppose 0 = -p*n + 14*n - 30. Suppose -66 = -17*m + n*m. What is the smallest common multiple of 12 and m?
12
Suppose -5*f + 2*f = v + 9, 0 = 3*f + 4*v. What is the common denominator of f - (-27)/6 - 55/(-6) and 2/(-6) - (-1705)/220?
12
Let v = -24069 + 24377. What is the lowest common multiple of v and 264?
1848
Let h = 106 - 34. Let x be (-4 - -5)*-2 - 1425/24. Let u = x + h. What is the common denominator of -59/20 and u?
40
Let c(y) = -7*y + 5. Let u be c(0). Suppose -5*t = -3*f - 1138, t - 6*f = -u*f + 226. What is the smallest common multiple of 10 and t?
230
Suppose -578 - 15430 = -29*x. Calculate the least common multiple of 276 and x.
552
Suppose -17 = -3*w - 5*a, -5*w + 2*a = -31 + 13. What is the lowest common multiple of w and 84?
84
Suppose 0 = m - 3, 3*m + 255 = 114*q - 113*q. Calculate the lowest common multiple of q and 36.
792
What is the common denominator of -47/18 and ((-51)/24 + -2)/(66497/348)?
41274
Let t be 1 - 220/(-2) - -1. Suppose -5*u + 2160 = -5*h, 29*u - 27*u = 5*h + 858. Calculate the common denominator of 149/12 and ((-4)/10)/(t/u).
60
Let t(i) = i**3 - 5*i**2 - 8*i + 7. Let x be t(7). Let a = x - 28. Let s(d) = 12*d**2 + 4*d + 3. Calculate the lowest common multiple of a and s(0).
21
Calculate the lowest common multiple of (-24944)/(-126) + 1072/33768 and 81.
1782
Suppose -h = 2*h - 6. Suppose h = 2*k - 64. Calculate the least common multiple of k and (-648)/90*(16/3 - 7).
132
Let u(g) = -4*g + 116. Let z be u(-20). Let h = -154 + z. Calculate the lowest common multiple of 63 and h.
126
Let z = -9 + 15. Calculate the common denominator of 6 - 1 - 2*179/48 and (-3)/18*((-651)/z - -2).
24
Let z = -49212239/1116 - -44097. Calculate the common denominator of 19/1116 and z.
1116
Let g(x) = x**2 + 10*x - 14. Let i be g(10). Suppose -54 = i*r - 192*r. What is the smallest common multiple of 81 and r?
81
Let p = 218 - 210. Calculate the lowest common multiple of -1*(-2 + 3) - -19 and 4/((64/60)/p).
90
Let c be (6/8)/(21/(-24) - -1). Find the common denominator of -61/110 and -5 - (c/(-99))/(8/960).
110
Let y = 28/15557 - 1712961/9583112. Calculate the common denominator of 89/4536 and y.
49896
Calculate the lowest common multiple of 156 and (585/(-12))/(-2 - 1105/(-560)).
5460
Suppose -44 = 3*s - 7*s. Suppose -5*q = -5*g + 75, -g - 13*q - 50 = -q. Calculate the smallest common multiple of g and s.
110
What is the common denominator of (-3 - 679/(-154))/((-3 - -10)*5) and -29/630?
6930
Suppose 2*p = -6, -11*p + 894 = 3*w - 8*p. Calculate the least common multiple of 2 and w.
602
Suppose -c + 255 = -5*d, 3*c = d + 4*d + 245. What is the common denominator of 35/674 and d/182 - ((-879)/70)/3?
3370
Let f = 3486 - 1502. Let i = f + -23795/12. Let z = i - 23/4. Find the common denominator of z and -64/9.
9
Let r(b) be the second derivative of 67*b**3/6 - 6*b**2 - b. Let i be r(-3). Calculate the common denominator of (2 - 0)/(60/i) - -1 and -17/4.
20
Let g(k) = 2*k + 4. Calculate the smallest common multiple of g(8) and -3 + 9 + 9 + 2 + -7.
20
Let z(t) = -2583*t - 193710. Let f = -16 + 34. What is the lowest common multiple of f and z(-75)?
90
Let p = 7787/10 - 775. Let t be 2/5 + (-881841)/1376440. Let f = -3/10588 - t. Calculate the common denominator of p and f.
520
Suppose l = 10*l - 270. Suppose 256 = l*b - 26*b. What is the smallest common multiple of 4 and b?
64
Let m(w) = 14*w + 40. Let f(x) = 41*x + 116. Let g(n) = -3*f(n) + 8*m(n). What is the lowest common multiple of g(-8) and 102?
1020
Calculate the common denominator of (1/((-5)/(-61)))/(5 + (-4588)/20) and -157/1020.
11220
Suppose -a + 5*s = -21, 5*a = 8*s - 9*s + 27. Calculate the least common multiple of a and 603.
1206
Let d = -14303 + 14840. What is the least common multiple of d and 147?
26313
What is the common denominator of 53/156 - (-5)/65 and 67/436?
1308
Suppose -26*g + 1750 = 69*g - 3950. What is the lowest common multiple of g and 360?
360
Let c = 9074 + -1849. What is the common denominator of -137/84 and ((-6)/40)/(612/c)?
336
Suppose -220 + 284 = 8*j. Calculate the common denominator of 5/(1140/3634) - j/76 and 26/5.
30
Let j(t) = 2*t**2 + 41*t + 18. Suppose 0 = -2*g - 2*u - 30, -10 = -u - u. Let r be j(g). What is the common denominator of 7/6 and ((-9)/(-84))/((-1)/r)?
42
Suppose -116 + 111 - 517 = -87*i. Let a = 9 + -17. What is the least common multiple of i and 4/6 + a/(-6)?
6
Calculate the common denominator of 79/800 and (2/3*18/(-108))/((-15)/(-63)).
2400
Suppose 24*s = 21*s + 75. Suppose -c + 2*c + 18 = 2*m, m + c = 12. What is the smallest common multiple of m and s?
50
Let o = 141143/10 - 14112. Find the common denominator of o and 93/46.
230
Let p be 6/(-20)*(-11373)/4086. Let l = p - 42/227. Let a = -624/17 + 4353/170. What is the common denominator of a and l?
20
Let l = 13999705569/8632 - 1621838. Find the common denominator of 17/4 and l.
8632
Let k = -4018/2781 + 351/103. Calculate the common denominator of k and -22/513.
513
Let v = 59 - 54. Suppose 9*j - 6*j - 24 = -4*m, -v*m + 30 = 5*j. Suppose -2*i + 346 = m*d - d, -5*i - 80 = -d. Calculate the lowest common multiple of d and 16.
560
Let f = 4/745 - 21649/8195. Let t = -23899/12 + 1990. Let i = -145/24 + t. What is the common denominator of f and i?
88
Suppose -h + 14 = 5*o, 5*h = -3*o + 2 + 2. Suppose -207*y = -244*y + 111. What is the lowest common multiple of 3 - ((-3)/h + -28) and y?
84
Let k(i) = 4*i**2 + 19*i - 40. Let n be k(-9). Suppose 5*v + 50 = t - 0*v, 0 = 2*t + 3*v - n. What is the smallest common multiple of 210 and t?
2310
Let l = -415 + 1256/3. Let d = -1877888/95 + 25298735114/1279935. Let h = d - 14/499. Calculate the common denominator of l and h.
27
Suppose 5*w - 60 = -0*w. Let s be 16 - 2/16*8. Suppose s*g - 24 = 11*g - 2*t, -20 = -g + 3*t. What is the least common multiple of w and g?
24
Suppose 365*i - 11904 = 179*i. Calculate the least common multiple of 256 and i.
256
Let h = 18700 - 729308/39. What is the common denominator of 85/3198 and h?
3198
What is the lowest common multiple of 30 and 123 + -4 + 2 - (-8)/(-7 + -1)?
120
Let c = -2 - -3. Let n(k) = c - k**2 + 5*k**2 - 3*k**2 + 11*k**3 - 14*k**3 + 2*k. Calculate the smallest common multiple of n(-1) and 52.
156
Suppose 0 = 4*p - 3*p - 2*p. Let l(f) = 4*f + 3*f - 5*f - 3*f + f**2 + 2. Calculate the smallest common multiple of l(p) and 5.
10
Let n = -177447/2066372 - 12/6709. What is the common denominator of 91/15 and n?
4620
Let q = 19866556373/65453 + -303524. Let y = -6218103/4450804 + q. What is the common denominator of y and 31/44?
748
Let m(f) = -17*f - 6. Let w(u) = -16*u - 6. Let n(z) = 5*m(z) - 6*w(z). Let g be n(2). Calculate the common denominator of 3*g/60*-2 and 13/6.
30
Calculate the common denominator of 132/(-189)*(-2)/(-96) and -23/140.
3780
Let c be 15364/2*25/(-36). Suppose 18*o = 22*o - 21332. Let u = c + o. Calcula