/10 and i.
46250
Let x(r) = -r**3 - 11*r**2 - 48*r - 180. What is the lowest common multiple of x(-8) and 588?
588
Calculate the common denominator of 3 - (-747)/(-243) - (-5390)/756 and 95/8.
72
Suppose -9*g - 557 + 613 = 5*g. Calculate the smallest common multiple of g and 9584.
9584
Let j = -13 + 13. Suppose -3*t + j*p - 2*p = 0, t - 5*p = 17. Suppose -5*w + 6 = 3*a - t, 2*w = -2*a + 8. Calculate the common denominator of -38/67 and a.
67
Let q = -125 + 122. Let s = -291/20 + 124/5. Calculate the common denominator of s and (70/6 + q)/((-28)/(-21)).
4
Suppose -746 = -2*x - 114. Let s = -3827/12 + x. Calculate the common denominator of -79/54 and s.
108
Find the common denominator of -79/18 and (-42 - -2)/(-8) + (-10370)/2016.
1008
Let q = 3950041/6 - 661803. Let g = 4950 - 1506. Let l = q + g. Calculate the common denominator of -4/3 and l.
6
Suppose -6*z + 5 = -z. Suppose -6*a = -h - 9*a - 6, h = -2*a - 6. Calculate the lowest common multiple of (3 + -1)/(z - (-5)/h) and 82.
492
Let s(h) = -70*h - 2088. Calculate the smallest common multiple of s(-30) and 531.
2124
Suppose -2*l - 20 = 4*z, -37*l - 2*z - 6 = -34*l. What is the least common multiple of 540 and l?
540
Let z be (-9)/3 - (-27 - 7). Suppose 17 = 3*d - z. What is the smallest common multiple of 11 and d?
176
Suppose 172 = 13*f - 10*f + 4*u, 5*f + 5*u - 295 = 0. Suppose 0 = 2065*t - 2069*t + f. Calculate the least common multiple of t and 32.
32
Let t(s) = -s + 41. Let o be t(11). Suppose -3*c = -2*c - 46. Let y = c - o. Calculate the least common multiple of 16 and y.
16
Let j be (7427/(-2))/(1/(-2)). Let p be (-22253)/j - (0 - 3). Let c = p - 56245/3183. Calculate the common denominator of c and -21/5.
15
Let i = 9156419/3288 - 145/1096. Let k = i - 217501/78. Find the common denominator of k and -37/20.
260
Suppose -11*o - 27 = -20*o. Find the common denominator of -53/66 and (-139)/(-9)*o/10.
330
Suppose 18 = -7*z + 53. Suppose 5*q = -3*m + 1286, z*m = -0*q + q + 2162. What is the common denominator of 0 + -2 - -436*(-9)/m and -21/8?
24
Let t = 152 + -753/5. Let k = 1/97 - -478/679. Let l = -1/70 + k. Calculate the common denominator of t and l.
10
Let x(r) = 7*r - r**3 - 7*r**2 - 4*r**3 + 8 + 6*r**3 + 14*r**2. Let u be x(-6). Calculate the smallest common multiple of 1 + 3 + -4 + u + 112 and 10.
570
Let a = -201131/5247 + 2060/53. Calculate the common denominator of a and -6/451.
4059
Let z(x) = -x**2 - 78*x - 606. What is the lowest common multiple of 81 and z(-69)?
405
Let h = 7897 - 7892. Calculate the least common multiple of 592 and h.
2960
Suppose 0 = 53*l - 369*l + 3792. Suppose s + s - 168 = 0. Let i = s + -44. What is the least common multiple of l and i?
120
Let l be (-7715204)/(-11410)*(-1)/342. Let v = l + -2/3097. Find the common denominator of -23/35 and v.
315
Suppose n - 220 = -4*n. Suppose 3*k = 5*j - 621, 764 - 432 = 3*j + 4*k. Calculate the lowest common multiple of n and j.
1320
Suppose -4*c - 1 + 9 = 0. Suppose -c*k - 2 = -12. Calculate the least common multiple of k and 4.
20
Let o = -263 - -136. Let y = 3964/31 + o. Find the common denominator of y and (10/22)/5 + 4.
341
What is the smallest common multiple of (57/1 - -1)/((-86)/((-14104)/41)) and 174?
696
Let u = 38 + -40. Find the common denominator of -79/48 and u/9 - (3496/1440 + -2).
240
Let x = 74453773/390 - 190907. Calculate the common denominator of 62/1365 and x.
2730
Let n = 244874709/1214 - 201709. What is the common denominator of n and -45/4?
2428
What is the lowest common multiple of (2 + 1)*1450/15 and 2?
290
Let o(g) = 1080*g**2 - 342*g - 1007. Calculate the smallest common multiple of o(-3) and 7.
68173
Let y = 18 + -13. Let g be ((-1)/y)/((-14)/(-305)). Let q = 85/7 - g. Find the common denominator of -19/66 and q.
66
Suppose 96*j - 13704 - 1210 = -3394. What is the lowest common multiple of 60 and j?
120
Suppose 5*r + 1429 = 499. Let n = r - -108. Calculate the common denominator of -24/11 and 268/52 + -5 - 1171/n.
66
Let g = 1 + 1. What is the common denominator of (-2304)/(-396) + (-6)/4 and (g/1 - 1) + (-385)/132?
132
Let n(w) = 36*w - 20*w**2 - 258*w**3 + 259*w**3 + 43 - 13*w**2 + 12*w**2. Let j = 43 - 22. What is the smallest common multiple of j and n(19)?
105
Suppose -3528 = 7*q - 14*q. What is the common denominator of (-378)/(-8)*54/q and -91/24?
48
Let d = 58 - 30. Suppose 0 = 8*l - l + d. What is the common denominator of 7/5 and 5/(l/10*-4)?
40
Calculate the common denominator of (3/(-27)*6/8)/(2/9) and 85/3154.
12616
Let d = -9666 - -9669. Calculate the smallest common multiple of d and 1950.
1950
Let m = -54155/16 - -3389. What is the common denominator of -81/200 and m?
400
Suppose 7200 = 5*x + 4*i, 3*i = 4*x - 701 - 5059. Calculate the least common multiple of x and 1760.
15840
Let y(b) = 23004*b + 92043. Suppose n + 3*n - 372 = 0. What is the smallest common multiple of y(-4) and n?
837
Suppose c + 85 = 5*y - y, 5*y - 100 = -5*c. Suppose y*k = -10*k + 5952. What is the least common multiple of 27 and k?
1728
Suppose 12*z = -16*z + 1232. Calculate the smallest common multiple of z and 88.
88
Let z = -11/158 - -2243/1580. What is the common denominator of -2*1 - (-682)/(-44) and z?
20
Suppose 14*i = 13*i - 3*m - 7, i - m = 5. Suppose r - 77 = -4*w, -4*w = -i*w + 3*r - 31. What is the lowest common multiple of w and 104?
520
Let f(r) = 3*r**2 - 429*r - 234. What is the smallest common multiple of f(158) and 20?
34380
Let q(b) = b**3 - 4*b**2 + b - 5. Suppose 2*g = 3*a + 1 - 3, 0 = -a + 4*g - 16. Let p be q(a). Calculate the lowest common multiple of 6 and 6 + -1 - (p - -4).
6
Let l = 10 + -10. Suppose l = 4*n + 3*r - 11, 3*n - 5*r + 0 - 1 = 0. Suppose -n*v - 2*v = -8. What is the lowest common multiple of 4 and v?
4
Suppose 12*z = -34 + 22. Find the common denominator of -49/12 and z*((-13)/338)/(1/(-61)).
156
What is the common denominator of ((-420)/2520)/(271/33) and 17/46?
12466
Find the common denominator of (-85)/(-120)*1*9/15 and -21/85.
680
Suppose 7*t = -157 + 745. Suppose -4*f + 28 = -0*f. Calculate the least common multiple of (114/(-15))/(-6 + t/15) and f.
133
Let a = -7710 + 107861/14. Let d = 94471/28 + -3373. Find the common denominator of d and a.
28
Let g(b) = -b**2 - 9*b + 8. Suppose 8 - 60 = -13*z. Suppose 0 = -z*v + 4, 2*y - v = 3*v + 4. Calculate the smallest common multiple of y and g(-7).
44
Calculate the common denominator of 1178266/(-4977280) + 13/11 + -1 and -55/2.
2240
What is the common denominator of -86/861 and -2 + (-2)/(-6) - (9414/7011 + -3)?
16359
Find the common denominator of (9/(-12))/((-97)/((-1358)/21840)) and 137/1248.
6240
Let k(b) = 3*b**2 + 5*b + 2. Let s be k(-3). Suppose -402 - 438 = -s*l. Calculate the lowest common multiple of l and 6.
60
Let r = 193345874014/95 + -2035260164. Let m = 40437 + r. What is the common denominator of -28/5 and m?
95
Suppose 0 = -42*d + 762 + 414. Suppose 86 + 118 = 5*r + 2*i, -4*r + 158 = -i. What is the lowest common multiple of r and d?
280
Let f(n) = 273*n**3 - 7*n**2 - 10*n + 8. Let z be f(7). Let b = 16409295/176 - z. What is the common denominator of 81/112 and b?
1232
Suppose 105 = 429*j - 436*j. Let m = -1327/1392 + 34/87. Calculate the common denominator of j/70*(-355)/(-15) and m.
112
Let b = 1/166841 - 507088/1095311165. Let h = b - -873181/78780. Find the common denominator of 74/16 + -4 - (-3)/2 and h.
24
Let q = 27598348 + -35546674209/1288. Let y = -13/805 - q. Find the common denominator of y and -107/14.
280
What is the lowest common multiple of (9/27)/(4 - (-143)/(-39)) and 343?
343
Suppose 52*s + 3654 = 66*s. What is the least common multiple of 39 and s?
3393
What is the common denominator of 71/6 + 1/(-4) and 26*143/(-1320)*-3 - 3*1?
60
Let g = 26 - 18. Suppose 4*d = -5*f + 1 + 12, g = 2*d + 2*f. Suppose -9*i = -d*i - 4. What is the least common multiple of 31 and i?
62
Let x = -8312171/60607296 + -1/210442. What is the common denominator of x and -113/102?
9792
Let n be 15567/(-15)*2220/144. Let g = 16011 + n. Let p = -174155/16 + 10889. Find the common denominator of g and p.
48
Let x(r) = 3*r**2 + 60*r - 1415. Calculate the smallest common multiple of 128 and x(15).
640
Let v = 265 - -431. Find the common denominator of -139/18 and ((0 + -5)/(-760))/(4/v).
684
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