8.
17640
Calculate the common denominator of 557661/(-457884) - (-6)/69 and 49/36.
252
Let n(i) = 2*i**3 + 77*i**2 - 38*i + 93. Calculate the lowest common multiple of n(-39) and ((-45)/20)/((-1)/4).
54
Suppose 4*b + 128 - 114 = 2*l, -2*l - 2*b = -26. What is the smallest common multiple of (2 - (-1 + 1)) + 75 and l?
77
Suppose 14*c + 231 + 21 = 0. What is the common denominator of -79/90 and (152/c)/(-3 + 9)?
270
Let c(i) = -2*i**3 - 4*i**2 + 6*i - 5. Suppose -10 = 3*g + 7*a - 9*a, -a - 1 = 0. What is the lowest common multiple of c(g) and 63?
315
Find the common denominator of ((-2)/(-7))/(8 + 45672/(-5698)) and -45/2486.
2486
Let a be 0/(-9) + (0 - -1). What is the lowest common multiple of 1 - -3 - -12*a and 16?
16
Let w be 1737/(-4942) + (-1 - 0). Let c = w - 2/353. Find the common denominator of -25/92 and c.
644
Let f be (-9*3/(-36))/((-72)/131564). Let m = f - -1371. Calculate the common denominator of m and -55/32.
96
Let d(u) = u**2 + 6*u - 156. Let a be d(14). What is the smallest common multiple of 6 and 35123/a - -3*(-1)/(-4)?
852
Suppose 60*y - 3165 = 40*y + 25315. Calculate the lowest common multiple of y and 3560.
7120
Let f = 68462/5 + -30391/2. Let b = f - -1505. Calculate the common denominator of -3*((-515)/750 - 6/(-9)) and b.
50
Let b = 1/28554 + -49183/190360. What is the common denominator of b and 23/60?
120
What is the least common multiple of 8022 and (-1)/(15 + 724/(-48))?
16044
Let p = 142/101 + -11271/10100. Find the common denominator of p and 42/(-440) + 18/(-24).
1100
Let l be 1 + (-52)/(-4) - (-12)/6. Calculate the common denominator of 95/24 and ((-4)/1)/l + (-47)/14.
168
Let q be -16540*(-1 - -5 - 142/36). Let z = q + 918. What is the common denominator of z and -15/37?
333
Let b = 451 - 363. Let g = -72 + b. What is the smallest common multiple of 106 and g?
848
Suppose -127*v - 1595 + 77542 = -23875. What is the smallest common multiple of 1310 and v?
3930
Let g = -248 - -317. Calculate the common denominator of 1978/g - (-2 - -1*7) and -89/102.
102
Suppose 4*o - 28 = -10*o. Suppose 2*j + 47 = i, i + o*j - 52 = -j. Calculate the least common multiple of i and 1.
49
Let w(u) = 8 + 0*u**2 - 2*u**2 - u**3 - 2*u - 4*u**2. Calculate the least common multiple of w(-6) and 12 + -21 + (22 - 5).
40
Let k be (-12)/(-14) + 581/(-49). Calculate the common denominator of -31/22 and 4 + (5*29/4)/k.
44
Suppose -2*q + 6*l = 4*l - 6, -4*l = 4*q - 20. Let z be (88/8074)/(1/q). Let v = z + -24877/6606. What is the common denominator of 93/92 and v?
828
Let v = -2980 + 18025/6. Find the common denominator of 91/1154 and v.
3462
What is the common denominator of 496/(-18) - (4352/153 + -28) and 4/(-10) - (-13)/20?
4
Let g = -21 + 25. Suppose 3*y = 5*y + v - g, -4*y - 4 = 5*v. Calculate the common denominator of 5/24 and (-47)/10 + -2 + 12/y.
120
Let h be (-2)/(((-4)/3 - 0)/(-2)). Let m be -1 - 208/82 - (h - -1). Let g = -5893/820 - m. Calculate the common denominator of g and 93/14.
140
Let n = -2853 - -2868. What is the lowest common multiple of 120 and n?
120
Suppose 4*y = v + 210, -4*y - 422 = 2*v - 614. What is the least common multiple of 9 and y?
153
Let z be (3 - 12)*(-129)/3. Suppose z*b - 395*b + 288 = 0. What is the lowest common multiple of 56 and b?
504
Suppose -1769 = -35*c - 1349. Suppose 4*v - 38 = -2. Calculate the least common multiple of v and c.
36
Let p = -14987 + 15057. What is the smallest common multiple of 161 and p?
1610
Let a(n) = n**2 - n + 5. Calculate the smallest common multiple of a(6) and 3/7 - 873/(-21).
210
Suppose -263*t + 288*t = 1500. What is the smallest common multiple of t and 4 - (8 - 19)*(6 + 0)?
420
Let a(z) = 7*z**2 + 3*z + 100. What is the lowest common multiple of a(8) and 728?
8008
Suppose 2*y - 4*y + 20 = -2*o, -5*y + 26 = -3*o. Let l(w) = -w**2 - 10*w + 26. Let i be l(o). What is the smallest common multiple of 6 and 15/i*-4*-1?
30
Let z = 98324/80393 - 6735019151/2209199640. Let k = 2/3435 + z. Calculate the common denominator of k and -3/10.
40
Suppose -231 + 123 = -9*t. Suppose 0 = t*k - 56 + 524. Find the common denominator of -20/3 and k.
3
Calculate the lowest common multiple of 6 and (-7)/147*6 - (604/(-7) + 3).
498
Suppose o = u - 399, -14*u + 3*o = -9*u - 2007. Calculate the lowest common multiple of u and 1.
405
Let y = -4873 + 117037/24. What is the common denominator of y and 4 + -3 + 82*1/18?
72
Let k(i) = -77*i**3 + i**2 - 1. Let r(w) = -w**3 - 3*w**2 - 21*w - 92. Calculate the lowest common multiple of r(-5) and k(-1).
693
What is the smallest common multiple of (700/(-21) + 32)/(2/(-54)) and 2988?
2988
Let g(j) = j**2 + 5*j - 9. Let v(i) = 3*i**3 - 373*i**2 + 123*i + 274. What is the smallest common multiple of g(-7) and v(124)?
150
Let j = 603 - 591. Suppose 3 = -2*z - 9. Let m(g) = 2*g**2 + 9*g + 8. What is the least common multiple of j and m(z)?
156
Let v(o) = 49*o + 1266. What is the smallest common multiple of 1134 and v(-24)?
5670
Calculate the lowest common multiple of 848 and 16/5*(4 + -3 - -4).
848
Calculate the common denominator of 17/(-18) - (-21 + 20)*7 and -83/36.
36
Let n(u) = u**3 + 4*u**2 + 5*u + 6. Let t be n(-3). Let q = 7 + t. Suppose 196 = q*d - 0*d. Calculate the least common multiple of 6 and d.
84
Suppose 0 = h + 3*j + 13, h - 5*j + 3 = 6. Let s(r) = -r**2 - 5*r + 17. Let b be s(h). Calculate the least common multiple of -14 + 47 + b*-1 and 12.
60
Calculate the common denominator of ((-353)/(-352) + -1)/((-9)/27) and (-30)/(-255) - 2265/(-1122).
352
Suppose 55 = 7*g + 4*g. Let o(q) = 4*q**3 + 5*q**2 - 2*q**3 - 3*q**3 + 17*q - 13*q. Calculate the lowest common multiple of o(g) and 18.
180
Let q = 159259/2320 + -1994/29. Calculate the common denominator of 4/2 - 482/180 and q.
720
Let p(w) = 35*w + 21. Let k be p(-7). Let f = k - -284. What is the lowest common multiple of 24 and f?
120
Let r(c) = -15*c - 276. Let n be r(-24). What is the common denominator of (-984)/n + 12 + 1142/1540 and 99/40?
440
Let x(u) = -u**3 - 3*u**2 - 2*u - 4. Let k be x(-3). Let r = -17423/6 + 2885. Calculate the common denominator of r and (k - 2) + 36/(-40).
30
Let j be (0 + 1)/3*(819 + 6). Suppose -5*r - j = -b, -27 = -5*b - 2. Calculate the lowest common multiple of 12 and ((-24)/2)/((r/(-16))/(-9)).
96
Suppose 5*y - 1029 = -4*q, -5*q + 4*y = 465 - 1741. Calculate the smallest common multiple of 44 and q.
2816
Suppose -2*l + 4 = -2*j - 8, 0 = 5*l - j - 22. Calculate the common denominator of 44/7 and -1 + l + ((-129)/(-54) - -3).
126
Let v(g) = g**2 + 5. Let m be v(0). Let f(s) = -s**3 + 5*s**2 + 5*s + 3. Let y be f(m). Let u = y + -18. Calculate the least common multiple of 22 and u.
110
Let p = 469588959172639/89670 - 5236856911. Let q = -8/915 + p. What is the common denominator of (-12)/8*(-810)/990 and q?
1078
Find the common denominator of (-2115)/400 - (12 - 18) and -37/80.
80
Let o = 84 - 74. Let c = -64 + o. Let z = c + 58. Calculate the least common multiple of 26 and z.
52
Suppose 60*j + 109737 = -383163. Let g = j + 164267/20. What is the common denominator of -41/40 and g?
40
What is the common denominator of 1/146*(18 + -3)/(108/40) and 35/18?
1314
Find the common denominator of 86/4431 and ((-51)/(-8)*-2)/(1962/(-436)).
8862
Let i = 50/18727 - -376887/76275071. Calculate the common denominator of i and -36/11.
44803
What is the common denominator of 75/22 and 70/(-60)*158/(-14)?
66
Let w = -26273 - -31285. Calculate the lowest common multiple of w and 56.
10024
Suppose 174 = 6*h + 12. Let g be (-7)/14 + (-155)/(-2). Suppose 0 = 3*m - g - 22. Calculate the least common multiple of m and h.
297
Let b be 2*(-1)/9 + (-56)/(-9). Suppose b*y - 11 = 13. Suppose -9*o = -y*o - 100. Calculate the lowest common multiple of o and 68.
340
Suppose 17*v = 6804 + 8190. Calculate the least common multiple of 441 and v.
882
Suppose -24*m = -78 - 498. What is the common denominator of -91/4 and 734/312 - (-10 - (-248)/m)?
52
Let v = -30553/48 - -2547/4. Let h be 1560/(-35) - 6/14. Calculate the common denominator of v and (-12)/h*366/32.
240
Let t(v) = -3*v**2 + 22*v - 32 - 7*v + 2*v**2. Let w(h) = 83*h - 578. Let r be w(7). Calculate the lowest common multiple of 66 and t(r).
132
Let y(n) = -7*n + 95. Let l be y(17). What is the common denominator of 1 + -2