 k + 11527413641/46265912. Let i = y - 2/4543. What is the common denominator of i and 5/8?
8
Let h be (12 - -2)*(0 - 249/6). Let d = h + 587. What is the lowest common multiple of d and 58?
174
Let f be 36/(-27)*(-54)/(-3). What is the common denominator of 369/f*(-4)/6 and 49/36?
36
Let x = -296140 + 47974831/162. Calculate the common denominator of x and 71/945.
5670
Let x = -1/2670 + -13906/297705. What is the common denominator of x and -85/446?
446
Suppose -5*u - 5 = -5*i, -8 = -3*u - 5*i - 3. Suppose u = l - 140 + 54. Let q = l - 80. What is the smallest common multiple of 7 and q?
42
Let r(u) = -u - 238. Let f be r(0). Let z = 485/2 + f. Calculate the common denominator of z and (-4)/(-7)*(7 + (-315)/55).
22
Let w = -68207/12 - -22647/4. Let s = -2/10271 + -25728851/20542. Let g = -1290 - s. Find the common denominator of g and w.
6
Let b be (2 + 7/(-2))*80/(-24). Suppose -1002 + 252 = -b*v. What is the common denominator of (1/38)/((-2)/v) and 41/18?
342
Let a = 110043/104 - 1058. What is the common denominator of a and -39/196?
5096
Suppose -2*v + 215 = -461. Let y = -308 + v. Calculate the least common multiple of y and 3.
30
Let u = 830 + -10015/12. What is the common denominator of u and 162/1215 - (-634)/(-180)?
36
Suppose 5*p - f - 51 = 0, f = 4*f + 3. Suppose 18*s - 5*s = -182. What is the least common multiple of 9 and (136/(-85))/(s/p - -1)?
36
Let x be (-6)/(-33) + 16120/(-87450). Let t = x - -5041/2385. Find the common denominator of -48/7 and t.
63
Let z = 4016 + -3296. What is the lowest common multiple of z and 560?
5040
Suppose 0 = -2*c + 3*c - 4*q + 310, -4*c - 1220 = 4*q. Let j be ((-12)/2)/c*(-342)/21. Let w = j + -4813/952. What is the common denominator of w and 79/22?
88
Let g(w) = w**3 + 14*w**2 - 14*w + 20. Let m be g(-15). Suppose -95 = -m*q - 55. What is the least common multiple of q and 48?
48
Let c(x) be the third derivative of x**5/60 - 17*x**4/12 - 275*x**3/6 - 25*x**2. Calculate the smallest common multiple of c(41) and 48.
48
Suppose 115*m = 13905 + 14270. What is the smallest common multiple of 315 and m?
2205
Let p be (11/22)/(0 + (-2)/(-3092)). Let g = p - 1274. Find the common denominator of -32/3 and (g/18 + 2)*(-4)/45.
27
Find the common denominator of 99/20 and (-513)/(-69)*34/(-2040).
460
Let r = 2478 + -2456. Suppose 4*l - 2*p + 1 = 3, 0 = 4*l - 5*p + 1. Let q = 5 + l. Calculate the least common multiple of r and q.
66
Let q(l) = l**3 - 2*l**2 - l - 9. Let f be q(7). Let v = f - 175. Calculate the smallest common multiple of v and 30.
270
Suppose -295*f - 427139 + 1315240 + 974824 = 0. Calculate the lowest common multiple of 25 and f.
31575
Find the common denominator of 1/12 and -7 - 5/(3100/(-4010)).
372
Suppose -4*u = j - 20, 3*j - 25 = j - 5*u. Suppose -k - 2*r + 24 = -7*r, j = 5*r. Find the common denominator of -2*(-3 + 35/k) and -25/12.
12
Let t(b) = -2*b**2 + 41*b + 857. Let p = -3 + 15. What is the least common multiple of (-2)/6 - (-388)/p and t(33)?
32
Let q(t) = t**3 + 2*t**2 - 4*t - 8. Let c be q(-6). Let y = c - -351/2. Let l = -18/385 + 23773/6160. Calculate the common denominator of y and l.
16
Let q = -98100373/485165 - -2/97033. Let j = 95229/470 + q. Let p = 97/21 - 233/42. Calculate the common denominator of j and p.
658
Find the common denominator of (-74)/(-777) + (-17972)/154308 and 41/835.
9185
Suppose 17645 + 17075 = 35*v. Calculate the smallest common multiple of v and 868.
6944
Let v = -45158/4433 - -303/31. Let k = 442075/52 + -8502. What is the common denominator of v and k?
572
Let b(m) = -23*m + 1. Suppose 7313 = -36*j - 4171. What is the smallest common multiple of (((-90)/4)/(-3))/(j/(-1914)) and b(-1)?
360
Calculate the smallest common multiple of 528 and (-11466)/(-735)*(43 - 3).
6864
Let f = -12651 - -12675. Suppose -6*d + d + 40 = 0. What is the smallest common multiple of f and d?
24
Let a = -2127 - -5427. What is the least common multiple of a and 2640?
13200
Let b(s) = -13*s**2 + 38*s - 61. Let a be b(14). What is the common denominator of (174/(-28) - -1) + -1 and a/402 - -2*1?
42
Suppose 0 = -13*t - 72 + 85. What is the lowest common multiple of t and 616?
616
Suppose 8 + 314 = 3*f - 5*w, 5*f = 4*w + 554. Suppose 78 = 4*r - f. What is the least common multiple of 42 and r?
336
Let j(s) = s**2 - 9*s + 10. Let r be j(7). Calculate the common denominator of 5/21 and (r - (-105)/25) + (-862)/210.
21
Let w = -1041951337/814 - -14126307/11. Let m = w + -8345/2. Let v = 14551/2124 + 9/236. What is the common denominator of v and m?
333
Let i = -3505 - -3624. What is the least common multiple of 9 and i?
1071
Let y be 33 + (-1 - (-13 + 9)). Suppose -4*f + 84 = -m, -56 = -4*f + 3*m + y. What is the lowest common multiple of 350 and f?
700
Let s = 6841 + -109407/16. Calculate the common denominator of s and 3*(-6)/(-27) - (-1794)/(-1476).
656
What is the smallest common multiple of 54 and (((-441)/14)/(1/6))/((-3)/9)?
1134
Let o(p) = -p**2 - 29*p + 71. Let z be o(-29). Let g be (-65)/1 - (-5 - -5). Let y = z + g. Calculate the least common multiple of 4 and y.
12
Let o = 455356183/1353 + -336553. What is the common denominator of o and -121/738?
8118
What is the lowest common multiple of 3 and (1/2)/((-246)/(-501840))?
1020
Suppose -4*h + 65 = 53. Let b be 5728604/(-2250402) - h/2. Let p = 2/14613 + b. What is the common denominator of p and -43/14?
154
Suppose -28*b = 80065 - 82249. Suppose -4*z + 3*w + 141 = 0, 0 = -w - 3 - 0. What is the smallest common multiple of b and z?
858
What is the common denominator of (160/275)/(336/(-80)) and -159/770?
2310
Suppose 10*m + 888384 = -5419026. Let a = -10824980/17 - m. Let z = a - -6025. Find the common denominator of 23/7 and z.
119
Let d(i) = i**3 + 4*i**2 - 7*i - 24. Let z be d(-2). Let y(m) = -137*m - 270. Let q = 14 - 6. What is the smallest common multiple of q and y(z)?
8
Let l(q) = -q**3 - q**2 + 4*q - 667. Let d be l(0). Let m(i) = -i**3 + 6*i**2 - 3*i + 2. What is the lowest common multiple of d/(-115) + (-1)/(-5) and m(4)?
66
Let k = -11434 - -480401/42. Find the common denominator of -67/1332 and k.
9324
Let s = -959/45 + 86/5. Let f = 128 + -127. What is the common denominator of s and 0 - f/(((-96)/207)/(-2))?
144
Let v = -10537714/160931 + 5039245627831/72061683180. Let d = 2/22389 + v. What is the common denominator of -71/12 and d?
60
Let i = 4/1831 + -67939/87888. Find the common denominator of ((-1)/(-36))/((-229)/74883) and i.
48
Suppose -197226 - 117258 = -6*l. Let s be 3/(-6) + l/(-6). Let h = s + 8711. What is the common denominator of h and 99/14?
42
Let t = 18374 - 18332. What is the smallest common multiple of t and 2134?
44814
Let s = -32688728 + 783857203/24. Let z = -28006 - s. Find the common denominator of -139/102 and z.
408
Let i = 3161 - 2927. What is the least common multiple of 72 and i?
936
Find the common denominator of 1*17/(306/27) + 1802/(-1274) and -41/98.
1274
Suppose -6*c + 2 = -16. Suppose 0 = -5*z - 0*z + 5, 3*z - 9 = c*g. Calculate the common denominator of (-130)/3*g*(-6)/16 and 43/14.
14
Let m = -1209 + 2353. Calculate the lowest common multiple of m and 8.
1144
Let s(l) = 39*l - 350. What is the smallest common multiple of 408 and s(10)?
2040
Let r = 1934 - 1922. What is the lowest common multiple of r and 660?
660
Let k = 240/43 - 7997/516. Calculate the common denominator of k and -43/536.
1608
Let f(l) = 466*l**2 - 9 + 10 + 4*l - 3*l. Let q be f(-1). What is the common denominator of (-24)/(-56) + (1 - q/(-56)) and -43/40?
40
Let n(d) be the first derivative of 4*d**3/3 - 11*d**2 + 11*d - 67. What is the least common multiple of 12 and n(5)?
12
Let t(l) = 9*l. Suppose 0 = -5*i + 4*b + 530, 5*i + 189*b - 485 = 184*b. What is the smallest common multiple of i and t(2)?
306
What is the common denominator of 244/(-6)*(-9)/120 and 1501/(-38)*(8 - (-92)/(-12))?
60
Let t = -53700 + 53726. Suppose -2*f = -4*b + 8, -2*f - 3 = -0*b + b. What is the lowest common multiple of t and 5*(f + (-2 - -5))?
130
Suppose 0 = -89*s + 33*s + 3666 - 754. Calculate the smallest common multiple of 236 and s.
3068
Suppose -3*h + 1659 = 3*k, -k + 4*k + 2*h = 1654. Calculate the smallest common multiple of 1918 and k.
3836
Let v(s) be the first derivative of 29 - 2*s**3 - 6*s + 9/2*s**2 + 1