- 115. Calculate the common denominator of 5 - ((-9)/(-18) + (-1706)/n) and -41/6.
546
Let g = 29 + -26. Let f be 0 + (-2)/g + (-38690)/3240. Let o = f + -11/648. Find the common denominator of o and 81/8.
8
Suppose 3*h + 2 = -m - h, 9 = 4*m - h. Let r(y) = -y**2 + 21*y + 18. Calculate the lowest common multiple of m and r(13).
122
What is the least common multiple of 4 and (1*3 - 370/148)*4416?
2208
Suppose 282*n - 305 = 280*n - b, -5*b - 335 = -2*n. What is the lowest common multiple of n and 186?
930
Suppose -3*n + 4*c + 151 = 0, 14*n - 15*n + 2*c + 51 = 0. What is the least common multiple of 392 and n?
392
What is the common denominator of (-7)/21*378/(-33) and (1/(-4))/((-9)/(-8)) - (-32852)/109521?
3113
Calculate the lowest common multiple of 156 and 5 + (-1 - (-4)/(-10)) + (-468)/780.
156
Let u(b) = 10*b - 38. Let a be u(3). Calculate the smallest common multiple of 128 and 770/12 - ((-658)/84 - a).
128
Let o = -334 - -289. Calculate the smallest common multiple of 161 and (-115)/92 + o/(-4).
1610
Let g(t) = t**2 + 7. What is the lowest common multiple of (27/15)/3*(-3 + 8) and g(4)?
69
Calculate the least common multiple of ((-420)/(-25))/4*5 and 5359/253 + (-24)/11 + 2.
21
Let c = 36 + -26. Suppose -9*u + c*u = 7. Suppose -u*r = -r - 96. What is the least common multiple of r and 10?
80
Let a = 624263/24 - 26016. Find the common denominator of a and 7140/(-2430)*(-2)/(16/6).
216
Suppose -4176*t - 540 = -4186*t. What is the least common multiple of t and 522?
1566
Let q = 6079 - 5331. What is the least common multiple of 220 and q?
3740
Let z = 9 - -85. Let o = -38 + z. Suppose -17*b + o = -13*b. Calculate the smallest common multiple of b and 22.
154
Let f = -4255/2 - -46779/22. Let q = -1477 + 652. What is the common denominator of (q/(-72))/5 - -2 and f?
264
Let a = 1930/567 + -24/7. Calculate the common denominator of -32*1/(-90)*6/4 and a.
405
Let v(d) be the second derivative of -d**4/12 - 23*d**3/6 + 12*d**2 - 131*d - 2. Calculate the smallest common multiple of 77 and v(-20).
924
Suppose 3*t = -r - 58, -5*r = -5*t + 3*t + 341. Let v = r - -81. What is the smallest common multiple of v and 48?
336
Suppose -n = -0*n + 5*a - 24, -4*n + 3*a = -73. Suppose -27*k + 96 = -n*k. Let y = 60 + -39. What is the smallest common multiple of k and y?
84
Let r = -543723/8 + 2718347/40. Calculate the common denominator of r and 0 - (654/20)/(-3).
10
Suppose 100*i - 175974 - 156041 = -87015. What is the lowest common multiple of i and 140?
4900
Let g(u) = u**3 + 6*u**2 - 14*u + 24. Let f be g(-10). Let x = f - -239. Calculate the lowest common multiple of 6 and x.
6
Suppose 8*c - 809 = 1015. What is the lowest common multiple of c and 84?
1596
Let p = -425 - -417. Calculate the smallest common multiple of 9 and 4/p*(-5 - 229).
117
Find the common denominator of 29/76 and (21/(-5))/(44/55)*(-12)/11268.
23788
Let f = 3412/301 + -168/43. What is the common denominator of f and -10 + -528*8/(-400)?
175
Find the common denominator of -51/28 and (-3)/(-7) + ((-58)/2)/(-174).
84
Let t(u) = u + 9. Let b be t(-5). Suppose 0 = y - b*f - 67, y + 59 = 2*y - 2*f. Let q = -49 + y. What is the least common multiple of 6 and q?
6
Suppose 8*o - 7*o - 265 = 0. Suppose -o = -6*r - 49. Let j = 17 - 15. Calculate the least common multiple of r and j.
36
Let d(n) = 6*n**2 - 40*n + 34. What is the least common multiple of 96 and d(7)?
96
Find the common denominator of ((-9)/(-243))/((-4986)/621) and -10/21.
34902
Let x(h) = 57*h**2 - h. Let g be x(-2). What is the common denominator of 4/(-8)*g/(-14) and (-55)/(-30) - 2 - 302/42?
14
Let k = -42571 - -851489/20. Calculate the common denominator of k and (-2)/30*(-162)/7.
140
Suppose -5*h = -3369 - 966. Let o = h + -847. What is the lowest common multiple of o and 4?
20
Let s = 191497/38 + -5041. Calculate the common denominator of s and 1/196.
3724
Suppose -232*q + 49351 - 6261 = -2846. Calculate the least common multiple of 627 and q.
3762
Let n = 117 + 205. Let f(a) = -5*a**3 - a**2 - 2*a + 2. Let p be f(1). Let b(x) = -x**2 - 10*x - 12. What is the lowest common multiple of b(p) and n?
1932
Let p = 8997695/104 + -86517. What is the common denominator of 2814/(-63)*-8*15/(-8320) and p?
104
Suppose 7*l = 8*l - 25. Let y(q) = q - 20. Calculate the least common multiple of 18 and y(l).
90
Let u = -3/9622 + 510407/1414434. What is the common denominator of (-4)/(-18)*(4 + 2245/20) - 6 and u?
294
Let b(p) = p**3 - 4*p**2 - 17*p + 54. Let g be b(5). Calculate the least common multiple of 20 and 6/(0 + g/(-9)).
180
What is the common denominator of (-23 + 33031/1428)/((-17)/(-26)) and -1/42?
714
Suppose -3*v - 38 = 5*f, -3*f - 1 = -4*v - 13. What is the common denominator of 20/9 and (-9 - v - 1) + 388/66?
99
Let f(b) = b**2 + 3*b - 3. Let g be f(-4). Let c be (141/(-6))/(g/(1718/(-8))). Let k = 5035 - c. Find the common denominator of 65/14 and k.
56
Suppose 4*k = 11 + 9. Suppose k*z - 427 = -77. What is the smallest common multiple of 45 and z?
630
Calculate the lowest common multiple of (14601/372)/((-3)/(-12)) and 1.
157
Let u be (509816/(-6800))/(1452/10). Let k = 2/6171 - u. Find the common denominator of 4/6 - 1348/(-120) and k.
60
Let l = -2161 - -2293. Calculate the smallest common multiple of 704 and l.
2112
Suppose -80*f + 152*f + 10 = 82*f. Let x(s) be the third derivative of 7*s**4/24 - 5*s**3/2 - s**2. Calculate the least common multiple of x(6) and f.
27
Suppose -5*z - 2*h - h = 90, 0 = -5*z + 4*h - 55. Let k(p) = 7*p + 26. Let l be k(-4). Calculate the common denominator of (0 + l - 12/z) + 1 and 149/24.
120
Let d(y) = -y**2 + 10*y + 18. Suppose -57 - 3 = -4*c - 4*p, -2*p = -4*c + 36. Calculate the least common multiple of d(c) and 10.
70
Suppose 24*v = 26*v - 2*o - 1790, 4*o = 20. What is the smallest common multiple of 2200 and v?
19800
Let i = -4004 + 4562. Calculate the lowest common multiple of 14 and i.
3906
Let o = 16200451/108 + -150003. Find the common denominator of o and 83/360.
1080
Suppose -140 = 14*b - 42. Calculate the common denominator of ((-708)/92 - -4)/(1 + b) and -85/12.
276
Suppose 0 = -k - 3*p + 7*p + 97, -82 = -k + p. Find the common denominator of (-11)/(308/8) - 370/k and (-29)/4*(-4)/(-10).
110
Let c = -1924122/1025 + 9386/5. Let u = 9044/3075 - c. Calculate the common denominator of 47/3 and u.
15
Find the common denominator of 5/(-30) + (-1289)/420 - -4 and -79/160.
1120
Suppose -3*u + 13 = 4. Suppose -u*n - 9 = -21. Suppose 0*w - n*w = -168. Calculate the least common multiple of 4 and w.
84
Suppose 4*f + 3*c = 4, -3*f + 2*c + 4 = -4*f. Let q(w) = 3*w - 21. Let l be q(f). Calculate the common denominator of (l/(-372))/(-1 - 143/(-146)) and 11/18.
558
Suppose 0 = 2*d - 3*o - 359, -d + 151 = 2*o - 39. Suppose -j - 57 = 9*j - 77. What is the least common multiple of j and d?
184
Suppose 2*o - 4*k = 0, -k - 2*k - 26 = 5*o. Suppose 12*i - 9*i + 294 = -18*i. Let p = o - i. Calculate the least common multiple of 15 and p.
30
What is the smallest common multiple of 26/(-52) + (-2 - 4/((-16)/970)) and 165?
2640
Suppose 326*z = 317*z. Suppose z = -31*b + 25*b + 180. Calculate the lowest common multiple of 297 and b.
2970
Suppose 2*y = l - 148, y = 10*l - 13*l + 423. Suppose -16*b - 14 = -l. Calculate the lowest common multiple of 74 and b.
296
Find the common denominator of -17/5664 and 512606/(-723576) + (8/6)/2.
39648
Let l(d) = -3*d**2 + 15*d + 1. Let s be l(5). Let u(v) = -14*v - 10. Calculate the smallest common multiple of u(-2) and ((-4)/(-10))/(s/175*7).
90
Let f be -5 - (4 + -12 + 4). Find the common denominator of (-134)/36 + 1 + -1 and (183/20)/(f - 2).
180
Suppose 8*g - 1344 = 15*g. What is the common denominator of 41/10 and 1 + 1254/g - -3?
160
Suppose 4*w = w - 4*k + 30, -4*k - 10 = -w. What is the lowest common multiple of w and 2194?
10970
Suppose 266*o - 223*o - 688 = 0. Calculate the least common multiple of 304 and o.
304
What is the least common multiple of 177 and ((-8525)/(-18) - 14/126) + (-6)/4?
1416
Calculate the smallest common multiple of (2814/(-56))/(6/(-32)) and 6030.
12060
Let a = -58 - -66. Suppose 0 = -5*s, -3*u + u = 2*s - a. Suppose -5*t = -u*n - 34, 2*n = 3*t - 0*n - 20. Calculate the lowest common multiple of 6 and t.
6
Let j(m) = -m**3 + 13*m**