2
Let y = -789049/58590 + 2934/217. Calculate the common denominator of -74/3465 and y.
20790
Suppose -5*i + 5*l + 3470 = 0, -4*i + 156 + 2612 = -2*l. What is the smallest common multiple of 483 and i?
4830
Let c = -11959 - -11969. What is the lowest common multiple of 3698 and c?
18490
Suppose 4*h = 6*h - 80. Suppose 5*g + 35 = -h. What is the lowest common multiple of 8 and 5/g + 122/6?
40
Let z be 36 + (-16)/(-4) + -9. Suppose z = 3*d + f - 17, 4*d + 4*f = 64. What is the least common multiple of d and 74?
592
Let a = 1175919 + -2281282959/1940. Find the common denominator of -76/45 and a.
17460
Let x(w) = w**3 + 10*w**2 - 2. Calculate the least common multiple of x(-8) and 54.
378
Suppose -5*v - 492 = -3*g, 5*v = -3*g + 25 + 407. Calculate the lowest common multiple of 2904 and g.
20328
Find the common denominator of 113/54 and ((-86)/760)/((-16)/(-16) - (-82)/(-10)).
8208
Suppose -2*r + 15 = -5. Suppose s + r = 2*b + b, -12 = -4*s - b. What is the smallest common multiple of 44 and s?
44
Let i be -1*(-30)/(-20)*(-4)/(-3). Calculate the common denominator of (i/32)/((99/(-1812))/11) and -131/24.
24
Suppose -2*a - 2*x = -4, -12*x + 14*x + 14 = 4*a. Calculate the common denominator of 19/27 and 1/a*(-728)/16.
54
Let w = 3254/3 - 133558/123. Let a(z) = -z**2 + 6*z - 3. Let h be a(0). Calculate the common denominator of ((-2403)/18)/(-6 + h) and w.
246
What is the common denominator of ((-75)/(-2))/((-33264)/(-165)) and -9?
672
Let k(l) = 2*l**2 + 28*l - 16. Let h be k(-14). Let r = -7 - -9. What is the smallest common multiple of 11 and ((-22)/(-5))/(r - h/(-10))?
11
Suppose -12*x = -6*x. Let i be 2*8/4 - x. Find the common denominator of -25/14 and i/(-7) + 2169/(-210).
70
Let i(j) = j**2 - 5*j**2 - 3*j + 2*j - 2 + j**3. Let y(q) = -q**2 - 5*q - 1. Let a be y(-3). Calculate the least common multiple of 6 and i(a).
18
Let c = -84349/10 + 8424. Let z = 789/46436 + 2/893. Let p = -361/156 - z. Find the common denominator of p and c.
30
Suppose 5*d = x + 597, -14*d + 5*x + 585 = -9*d. What is the lowest common multiple of 12 and d?
120
Let c = 58222 - 27683. Let g = c + -5405380/177. Find the common denominator of g and 85/21.
1239
Let z = 59339/7575 + -1/5050. Calculate the common denominator of z and 81/782.
2346
Let d = 920 - 147. Let w = d + -652. Calculate the smallest common multiple of w and 6.
726
Let g = 288 + -239. Suppose -54*a = -g*a - 210. Calculate the least common multiple of 9 and a.
126
Let h = 11695 + -257233/22. Find the common denominator of 27/20 and h.
220
What is the common denominator of (-176)/11 - (-250446)/15568 and -47/417?
3336
Let z(o) = 60*o + 1376. Calculate the least common multiple of 76 and z(-20).
3344
Let w be (-19)/(-3) - (-8)/24*-4. Let l(z) = 3*z + 60. Calculate the least common multiple of 35 and l(w).
525
Let q = -5144 + 5807. What is the lowest common multiple of q and 867?
11271
Let x = -2998447408 + 52496817107065/17508. Let p = x + -12/1459. Calculate the common denominator of 3/68 and p.
204
Let x(d) = 2*d**3 - 10*d**2 + 55*d + 98. What is the lowest common multiple of x(10) and 2884?
11536
Calculate the common denominator of 35/984 and 447158/1318560 - (-6)/(-20).
1968
What is the common denominator of (-323645)/(-78890) - (18/5 - (-4)/10) and -51/1472?
10304
Suppose -15*w + 12*w + 1497 = -3*z, -w = -3*z - 501. What is the smallest common multiple of 83 and w?
498
Suppose 180 = 4*z + 5*y, -2*z + 116 = y - 5*y. Calculate the smallest common multiple of z and (-451)/(-9) + 33/(-297).
50
Let d = 1897 + -11455/6. Calculate the common denominator of d and 85/1323.
2646
Suppose 30 = -4*b + 18. What is the smallest common multiple of 56 and b*(-2)/(-6) + 62 + 2?
504
Let n(z) = z**2 - 2*z - 8. Let s be n(5). Suppose -12 = s*h + 2. What is the smallest common multiple of 2/(h + 0) + 4 and 21?
21
Suppose 4*n = 3*n - 2*c + 32, -4*n - c + 156 = 0. Suppose -6*p = -11*p - 3*r + n, -2*p + 4*r = -16. What is the least common multiple of p and 50?
200
Let i(a) = -a - 35. Let h be i(-53). Suppose -s = -3*s + h. What is the least common multiple of s and (-62)/(-10) + (-4)/20?
18
Suppose -h - 508 = 3*i - 507, -12 = 4*i. What is the least common multiple of h and 3906?
15624
Let x = 7585 + -7535. Suppose -6*t + 320 = -2*t. What is the smallest common multiple of x and t?
400
Let r be ((-14)/(-49))/(1/49). Let i be (4/2)/(9/36). What is the common denominator of 1001/980 - i/r and 17/74?
740
Let p be (-8 - -8) + -2 - 2879*2. What is the least common multiple of p/(-600) + 3/(-5) and 91?
819
Suppose 145 = 11*x - 20. What is the smallest common multiple of 1*4/(-4)*-33 and x?
165
Calculate the smallest common multiple of 32 and 106/159 - (12531/(-9) - 3).
11168
Let g(y) = 34*y**2 - 30*y - 14. Let k(d) = -7*d**2 + 6*d + 3. Let l(z) = 3*g(z) + 14*k(z). Calculate the smallest common multiple of l(4) and 16.
80
Suppose d - 5 = -7, -6*g + 2302 = 4*d. Calculate the lowest common multiple of g and 1100.
7700
Let t = -2793/8 - -347. Calculate the common denominator of t and (-1133)/(-132) - (1/((-1)/7) - -8).
24
Let a(b) = -b - 7. Let p be a(-8). Let z be (-662)/4 - -2 - p/2. Calculate the common denominator of ((-10)/(-140))/((-6)/z) and -32/15.
105
Let b be (-4)/(-18) - (-5)/(32580/(-82481)). Let x = b - -7/362. Let d = 1033411/30 - 34441. Find the common denominator of d and x.
60
Suppose 2*t - 20 = 2*b + 5*t, -4 = 4*b - 3*t. Let j(s) = -s**2 + 2*s + 5. Let a be j(b). Calculate the common denominator of 121/20 and (5320/48)/a*5/14.
60
Let x = 31074 - 4474603/144. Find the common denominator of -32/9 and x.
144
Let a(x) = -37*x - 160. Let y be a(21). Let u = y - -1097. Calculate the lowest common multiple of u and 100.
800
Let g = -100 + 107. Suppose 71 = 4*a + g. Suppose 6 = 2*x - 10. What is the lowest common multiple of a and x?
16
Let x(w) = -160*w - 924. Let j(f) = 2*f**2 + 2*f. What is the least common multiple of j(6) and x(-6)?
252
Let h(r) = 18*r - 214. Suppose 18 = 3*y + 3*l, -y + 5*l = 2*y - 2. What is the smallest common multiple of h(14) and y?
76
Let d = 4358 + -4148. What is the least common multiple of d and 1080?
7560
Let r be 1/(-3)*(-936477)/(-60). Let b = -5201 - r. Calculate the common denominator of b and 1 + (2 - (-202)/(-20)).
20
Suppose 19*y + 54*y - 7493 = 1632. What is the smallest common multiple of y and 1175?
5875
Calculate the common denominator of (-8)/28 + 548/2310 and (7242/1704)/((-75)/(-16)).
825
Suppose 202*t + 1308 = 203*t + 4*i, 0 = -t - 5*i + 1313. What is the lowest common multiple of 1472 and t?
10304
Suppose 2*b + 2*r - 890 = 0, 4*b - 5*r = -2*r + 1759. Calculate the common denominator of -1 + 61/(-2) - -1 and b/308 + 17/(-238).
22
Let z = 11 + 33. Let y(x) = -x**3 - 10*x**2 - 15*x - 21. Let c be y(-9). What is the least common multiple of 7 and 8/z - (-192)/c?
42
Suppose -22*w + 17*w + 25 = 0. Let c(x) = 3*x - w*x + x + 3*x - 9. What is the smallest common multiple of c(6) and 30?
30
Suppose 0 = -18*r + 5*r + 65. Suppose -r*z = 16 - 141. What is the lowest common multiple of 5*((-104)/(-20) - 4) and z?
150
Let x = 42367/6 - 7077. Let t = 6756 - 364747/54. Find the common denominator of t and x.
54
Let o be 0 + (-146 - 2)/2. Suppose 0 = -2*i + c + 167, -5*c + 134 = 3*i - 123. Let j = o + i. Calculate the lowest common multiple of 7 and j.
70
Let f be 1 - (552/(-32) - (-1)/4). Suppose -4*v - 12 = -6*c + c, f = 5*c - v. Suppose g = c*g - 30. What is the least common multiple of g and 69?
690
Let q = -1070207/109764 + 2/27441. What is the common denominator of q and (-346)/(-56) - 3/12?
28
Let j(f) = 2*f + 3. Let u be j(3). Let h(l) = 2*l - 11 + 9*l**2 + 27 - l**3 + u*l**2 - 19*l. What is the least common multiple of 22 and h(17)?
176
Let k be 7*-1*(-2985194292)/14. Let g = k + -3913589584399/2622. Let p = -1/1311 + g. Find the common denominator of p and -47/10.
10
Let a = 74 + -74. Calculate the common denominator of (-1)/(-2) + (-39)/4 and -42*(a - 12/16).
4
Let c = -1036 + 544. Let o = c + 531. Suppose 5*y + 4*f - 153 = 3*f, -3*y + 3*f = -81. What is the least common multiple of o and y?
390
Let j = -264/1061 - -113579/631295. Find the common denominator of j and -26/9.
5355
Let g = 1900571/19355 - -18/3871. Let d = -5526/55 + g. Calculate the common denominator of -8*3/(9/(-4))