. Find the common denominator of s and 111/440.
4840
Suppose -5846 = -75*q + 6904. What is the smallest common multiple of 50 and q?
850
Suppose -3*x + 2*w + 116 = -6*x, 4*w = -x - 22. Let h = 115 + -80. Find the common denominator of h and (11/4)/(x/(-140)).
6
Suppose 30*q = 39410 - 12950. What is the lowest common multiple of 7 and q?
882
Let q(y) = -4*y**2 - 2*y + 61. Calculate the smallest common multiple of q(-4) and 96.
480
Let u = -1600 + 14449/9. Find the common denominator of u and ((-2)/12 + (-613)/30)/(-4).
180
Calculate the common denominator of -2 - 108*9/(-225) and -46/15.
75
Calculate the least common multiple of (-1730)/(-6)*798/665 - -11 and 1428.
1428
Let w(a) = -158*a - 7396. What is the lowest common multiple of w(-78) and 14?
4928
Calculate the least common multiple of (-1696)/(-8)*60/24 and 10.
530
Let s(b) = b**3 - 4*b - 6. Suppose -6023*c = -6050*c + 594. Calculate the smallest common multiple of s(5) and c.
198
Suppose 0*i + 2*m = 3*i + 555978, -4*i + 5*m - 741297 = 0. Calculate the common denominator of (-133155)/i + 6/(-13) and 79/176.
1584
Calculate the common denominator of (-324)/(-27) + 5764/(-560) - 1/(-7) and -25/812.
4060
Let o = -286 + 291. Calculate the least common multiple of o + -3*(-4 + (-61)/3) and 34.
1326
Suppose -191*b = -15090 - 5538. Calculate the least common multiple of 324 and b.
324
Suppose 35*m = 10*m + 61600. What is the common denominator of (280/m)/((-9)/(-8)) and -17/44?
396
Suppose 15 = -3*f, -2*l - 67*f + 62 = -71*f. Calculate the least common multiple of l and (-9)/(((-3)/(-9))/((-6)/9)).
126
Suppose 5*i = -5*y + 364 - 134, y + 2*i - 44 = 0. Calculate the least common multiple of y and 536.
3216
Let t be (-72)/6*2/(-6). Suppose t*z - 5*z + 9 = k, -3*z + 5*k + 11 = 0. Let g(x) = -69*x + 238. What is the lowest common multiple of g(3) and z?
217
Let y = -342/463 - -7819/25002. Let h = -7/44 + -743/66. What is the common denominator of y and h?
108
Let q = 4183 + -4029. What is the lowest common multiple of 77 and q?
154
Let o be ((-116)/(-5) + 16/20)/(-1). Find the common denominator of 7/9 and (-724)/(-84) + o/18.
63
Calculate the common denominator of -43/26 and (300/(-80))/((-904)/(-64)).
2938
Let k = 29 + -16. Let q(d) = d**2 - 16*d - 10. Let p be q(k). What is the common denominator of 53/30 and (-385)/p*((-4)/3 - -1)?
210
What is the common denominator of -163/2400 and -8 + (-6)/(-14) + 2 + 92466/16800?
2400
Let y = 290/3 - 2651/30. Suppose -v + 3*h + h = -10, 3*h = 2*v - 5. Calculate the common denominator of y and (0 - (-2)/(-8))*53/v.
40
Find the common denominator of (290/(-11760))/((-6)/7) and -67/672.
2016
Let k be 8/(-10)*(-5170)/(-44). Calculate the common denominator of 89/16 and (k/64)/((-11)/44).
16
Calculate the common denominator of 19/16 and (2/3)/(12400/8850).
496
Let m = 153013603/374 + -409127. Find the common denominator of m and 83/170.
1870
Let d be ((-15)/(-60))/(16610/46456). Let y = 4/151 - d. What is the common denominator of y and -11/50?
550
Let k = 5582 + -5537. What is the lowest common multiple of 935 and k?
8415
Find the common denominator of 43/526 and -249*(26/(-845))/(12/5).
6838
Let s = 1894018/117 - 16188. What is the common denominator of s and (21/(-70))/(26/(-6))?
1170
Let c = -247376777/1960 - -883488/7. What is the common denominator of 27/686 and c?
13720
Let g(y) = -31*y**3 - 2*y**2 - 2*y - 1. Suppose -8*b = 7*b - 450. Calculate the smallest common multiple of b and g(-1).
30
Let s = 3068183/54 - 56816. Find the common denominator of s and 139/216.
216
Let a = -27778 - -15110. Let b = a - -253429/20. Let k = -127011/10 + 12712. What is the common denominator of k and b?
20
Let b = -107 - -117. Let s = 653 + -1243/2. What is the common denominator of (-15)/30 + 34/b and s?
10
Suppose -5*v + 12 = -3. Suppose -v*m = -68 + 5. Let o(y) = -y + 4. What is the lowest common multiple of o(-3) and m?
21
Suppose 0*h = -2*y - 4*h - 8, 5*h = -10. Suppose y = 16*q - 27*q + 770. What is the smallest common multiple of 56 and q?
280
Let g(n) = n**3 - 14*n**2 + 3*n + 16. Let m be g(12). Let s be 1 - 527*1/(-2). Let z = m + s. Calculate the common denominator of z and -10/23.
46
What is the common denominator of -16/165 and (74/(-114))/1 - ((-124)/(-155))/(-2)?
3135
What is the common denominator of (-227)/122 - (3 - 5) and ((-30)/20)/(3 + 27*(-34)/291)?
610
Let v = 91423/764660 - 77/865. Find the common denominator of -1/8 and v.
1768
Let d(z) = 4*z**2 - 4*z - 3. Let b = -54 + 55. Let v be 3/((-3)/b)*1. What is the least common multiple of d(v) and 3?
15
Let y = -6/17 + 1/51. What is the common denominator of y and 4/(5*42/(-615))*1/3?
21
Suppose 136*d = 131*d + 545. Suppose 3*u + 18*m = 17*m + d, -4*u + 136 = -m. What is the smallest common multiple of 50 and u?
350
Suppose -28*w + 1050 = -7*w. Suppose -8 = 6*f - w. What is the smallest common multiple of 13 and f?
91
Let a(j) = 3*j**2 - 10*j + 22. Let v be a(7). What is the common denominator of (-4)/6 - (-534)/v and 30*(-33)/(-154)*1?
77
Let y(z) = -9*z**2 + 12*z - 9. Let j be y(6). Let p = -147 - j. Calculate the least common multiple of 15 and p.
570
Let k = -10804291/18175140 - -1/100973. What is the common denominator of k and 163/630?
1260
Let d(q) = -8*q - 196. Let b be d(-28). Calculate the common denominator of 151/12 and (-26)/(-24) - ((-80)/b)/10.
84
Suppose -112 = -83*z + 76*z. Let r(w) = -12*w + 202. Suppose 1 = 2*j + 2*i - 15, -4*j + 3*i = -25. Calculate the lowest common multiple of j and r(z).
70
Let p(v) be the third derivative of -7*v**4/8 - 122*v**3/3 + 168*v**2. Calculate the smallest common multiple of 346 and p(-12).
1384
Let c = 6623 - 2793. Calculate the lowest common multiple of c and 22.
42130
Let a = 6306641 - 315345897/50. Let h = -1389/5 - a. What is the common denominator of -119/50 and h?
50
Let i = 14017 - 280397/20. What is the common denominator of 8/54*13/(4784/7521) and i?
180
Let n = -77/1112 + 45191/383640. Calculate the common denominator of n and -31/40.
2760
Let r = -4311179/247 + 17454. Find the common denominator of 32/13 and r.
247
Suppose -6*a + 1998 = 5*z - 3*a, -5*z = 4*a - 1999. Suppose -z = -3*l + 663. Calculate the common denominator of ((-2)/(-4))/((-21)/l) and -59/6.
42
Let g = 67 - 122. Let c = g + 51. What is the smallest common multiple of 11 + (c + (-2)/(-2) - -3) and 3?
33
Calculate the smallest common multiple of 2346 and 253 + (-32 - 12 - -21).
11730
Suppose 0 = 4*c - 5*j - 517 + 120, 290 = 3*c + 4*j. What is the least common multiple of 6*(24/(-7))/((-63)/c) and 56?
224
Let h(k) = 9*k**2 + 442*k - 64. Let g be h(-48). Find the common denominator of (-179)/(-2)*(-2)/(-30) and g/540*30/12.
270
Suppose 2*x - 4 = -2*z, 6*z - z + 10 = 5*x. Let o(c) = 5*c**2 - 14*c**2 + 5*c**2 + 2 + 5*c**2 - c. What is the smallest common multiple of o(x) and 29?
116
Suppose -87 = -2*j + 177. Let n = 168 - j. What is the smallest common multiple of (-8)/16*3/(-2)*n and 30?
270
Suppose 2246 + 1210 = 24*p. Calculate the least common multiple of 6 + (-11)/((-6)/p*4) and 72.
72
Suppose 82 - 1963 = -3*j. Suppose 27*c - 8*c - j = 0. Calculate the smallest common multiple of c and 30.
330
Let g = 1/11931 + 473251/143172. Let j(a) = -59*a**3 + 3*a**2 + 9*a - 3. Let m be j(6). Let n = 503479/40 + m. Find the common denominator of n and g.
360
Let p be 6/33 + ((-357)/(-33) - -3). What is the common denominator of -23/32 and (-5)/(-12) + (p - 8)?
96
Suppose 17*a - 16*a = 4. Suppose -278 + 90 = a*z. Let m = z - -66. Calculate the smallest common multiple of 7 and m.
133
Let d be 2/9 + 2002/(-99). Suppose -8 = 3*o + 1, -3*k = 2*o - 39. What is the common denominator of -6*1/(d/k) and -137/18?
18
Let p(k) = 3*k**2 - 106*k - 107. What is the least common multiple of 14400 and p(-1)?
14400
Let o = 126229/316 + 13/316. Let r = o + -407. Let y = 37583/8 - 4688. What is the common denominator of r and y?
8
Let w(y) be the first derivative of 3*y**2 + 26*y + 734. Let u = -63 - -159. Calculate the lowest common multiple of u and w(-4).
96
What is the common denominator of -35/18 and (-4 + (-849)/(-210))/(180/4750*65)?
3276
Suppose 3*o = -2*s + 2772, 128*s - 3*o - 4128 = 125*s. Calculate the least common multiple of 72 and s.
8280
Suppose 120*x + 12423 - 58983 = 0. What is the lowest co