4
Let n = -9 - -22. Calculate the lowest common multiple of 58 and 76/n + 8/156*3.
174
Let d = 111 - 31. Suppose -3*m + 1 = 7, d = 5*k - 5*m. Calculate the least common multiple of k and 50.
350
Let g(t) = -t - 13. Let u be g(2). Find the common denominator of 9944/1680 + 2/(-7) and 8/u*(-585)/(-306).
510
Suppose 34*r - 31*r - 10 = w, 5*r = 25. Suppose 655 = 9*u - 4*u - 5*b, 2*u = w*b + 250. What is the smallest common multiple of 30 and u?
270
Let a(h) = -4 + 5 - 22*h + 21*h - 7. Let d be a(14). Calculate the common denominator of 151/54 and (-294)/d - (-7 - (-40)/4).
270
Let m be (-17381)/(-35) + (-2)/(-5). Let q = m + -1418/3. Find the common denominator of -71/18 and q.
18
Let z = -14 - -1. Let k = 29 + z. Let l(s) = s**3 + 5*s**2 + 11*s + 23. Calculate the lowest common multiple of k and l(-3).
16
Suppose 0*n - 3*n + 12 = 0. Find the common denominator of ((-5)/12)/(n/(-28)) and ((-2)/(-74))/((-28)/(-1050)).
444
Suppose -8 = -f - f. Let m(s) = 18 - 5*s - 59 + 14 + 2. Calculate the smallest common multiple of f and m(-7).
20
Let o be 522/(-42) - 24/42. Suppose 0 = f + f + 14. Let n = f - o. What is the lowest common multiple of n and 22?
66
Let c = -3356 + 3366. What is the lowest common multiple of c and 833?
8330
Let p = -2190 - -2196. Suppose -2*q - q + 24 = 0. Calculate the lowest common multiple of q and p.
24
Let j(h) = -9 + 4*h - 13 + 2 + 2*h + 2*h. Suppose -3*d - 125 = -5*k - 0*d, -4*k + 107 = -d. What is the least common multiple of k and j(6)?
28
Suppose -161*c = -165*c - 2*g + 68, 0 = c + g - 14. Suppose 5*t = -25, t - 3*t = -x + 38. What is the smallest common multiple of x and c?
140
Let p(z) = 2*z**2 - 28*z - 74. Let g be p(17). Suppose 0 = -4*i + 36 - g. What is the smallest common multiple of 18 and i?
18
Suppose 5*l + u - 21 = 0, 0 = 4*l - 6*l + 3*u + 22. Suppose -l*s + 8 = 5*w - 72, -2*s + w + 44 = 0. What is the lowest common multiple of 35 and s?
140
Let g = 4637/37 + 383809/888. Let q = -556 + g. Calculate the common denominator of ((-35)/14 - -1) + 273/(-7) and q.
24
Let b(i) = -10*i + 29. Let p(t) = t. Let o(f) = b(f) + 5*p(f). Calculate the smallest common multiple of o(-5) and 54.
54
Let y be 294/(-140)*157/(-6). Let v = y + -327/10. Calculate the common denominator of 35/6 and v.
12
Let w = -3627431/114 + 31819. Find the common denominator of -121/18 and w.
342
Let b = -14090 + 14108. Let m(a) = a**2. Let g be m(-2). Let t = 6 - g. What is the lowest common multiple of t and b?
18
Let x = -381 - -2377/6. Let c = 521 + -565. What is the common denominator of (2/c)/(10/(-360)) and x?
66
Suppose -10*n + 43 = -117. Let w be (3/((-18)/n))/(4/6). Calculate the common denominator of (-498)/8*1*w/12 and -37/6.
12
Let k(t) = t + 17. Suppose 2*i - 128 = 3*l, 8*l = 4*i + 6*l - 272. What is the lowest common multiple of i and k(13)?
210
Let g = 6999 + -6144. What is the least common multiple of g and 684?
3420
Let u be (-3)/(((-34661)/11)/((-24)/(-9))). Let t = u + 116307/110285. What is the common denominator of t and -9/8?
280
Let o(g) = -g**3 + 12*g**2 + 29*g - 108. What is the lowest common multiple of o(7) and 300?
5100
What is the smallest common multiple of 3*(-8)/204 - 18*(-8)/68 and 362?
362
Let t(k) = k**2 - 5. Let b be t(-3). Let h = -1836861/106 + 17329. What is the common denominator of b/(-10) - (3787/630)/(-1) and h?
954
Let y(l) be the third derivative of -l**5/20 + 77*l**4/24 + 10*l**3 + 124*l**2. What is the common denominator of -2/11 and y(26)?
11
Let j = -94 - -256. Find the common denominator of 47/33 and 333/(-15)*4/j.
1485
Suppose 4*r = -3*a + 142 - 58, -5*a - 4*r = -132. Suppose -51 = -3*z - 4*s - 7, -2*z + 31 = 3*s. What is the lowest common multiple of z and a?
24
Let l = 29 - 79. Find the common denominator of 82350/(-4725)*(3 - 1594/536) and l.
134
Suppose -5*h + 100 = 2*m, -4*h + 5*h - 4 = 0. What is the common denominator of (455/m + 0)/((-66)/8) and -27/121?
726
Calculate the common denominator of -149/1190 and 0 + (-7107)/2295 + (32 - 12 - 17).
10710
Let f be (-4)/18 + 11956/18. Suppose 3*h + r = 405, 0*h + 2*r = 5*h - f. What is the common denominator of -49/2 and h/(-68) + (-5)/10?
34
Let t = 31095601/8437 + -47914/13. Calculate the common denominator of 15/472 and t.
5192
Let g(j) = 6*j + 3182. Let q be g(0). Let c = -111301/35 + q. Find the common denominator of -68/45 and c.
315
Let y be 216/324 + ((-16952)/(-24546))/(-1). Let q = 369583/1137298 - y. What is the common denominator of -79/18 and q?
2502
Let p be 16/8 - 9 - 4319. Let m = -64922/15 - p. Calculate the common denominator of m and -53/9.
45
Let x be 3/(-2) - 1409/2. Let q = 191/15 - 4937/330. What is the common denominator of (-2)/14 - x/(-56) and q?
44
Let s = 2653 + -2030. Calculate the lowest common multiple of s and 28.
2492
Let f = 19/14 - 689/126. Let c be (-40328)/(-80688) + (-1)/2. Let r = -179873/30258 - c. Calculate the common denominator of f and r.
18
Let w(s) = s**3 + 4*s**2 - 13*s - 9. Let q be w(-6). Let k(y) = y**3 + 3*y**2 + 3*y + 14. What is the least common multiple of k(q) and 70?
70
Let x = -4328 + 4724. Calculate the lowest common multiple of x and 22.
396
Let t = -29405394527/307865858025 + 133/46165452. Let n = 3/1100 + t. Calculate the common denominator of n and -75/2.
194
Suppose 311 = 11*b + 355. Let d(r) be the third derivative of r**5/60 + 4*r**3/3 - 2*r**2. Calculate the least common multiple of 27 and d(b).
216
Suppose 5*x + d - 672 = 0, -23*x = -24*x - 4*d + 123. Calculate the lowest common multiple of 456 and x.
20520
Let n = -2 - 6. Find the common denominator of 198/n - 1/(-4) and 34336/(-13912) - 1*(-2)/1.
94
Let t(g) be the third derivative of -g**5/60 - 5*g**4/12 - 3*g**3/2 - 19*g**2. Calculate the least common multiple of -6*((-27)/6 - -3) and t(-8).
63
Let y be (171/18)/(2/(-4) + 1). Let p = 37 - y. Calculate the smallest common multiple of 39 and p.
234
Let r be (0 - -1)*-3 - (-471788)/(-240). Let y = -1971 - r. What is the common denominator of -12/7 and y?
420
Let n = 8187 + -8163. Suppose 2*z + 2*z - 272 = 0. Suppose 5*a = z + 22. What is the least common multiple of a and n?
72
Let s = 17400 + -15690. Calculate the least common multiple of s and 12.
3420
Let a = -3461 + 3483. Calculate the smallest common multiple of 72 and a.
792
Let p(v) = -186*v**3 + 2*v**2 - 2*v. Let k be p(1). Let t = k + 206. Suppose 24 = 3*w + w. Calculate the least common multiple of w and t.
60
Let f be (1/(-10)*2)/((-184)/1012207). Let r = -4395/4 + f. Find the common denominator of r and 95/36.
360
Let g = -7662 - -7706. Let s(f) = 3*f + 3. Calculate the smallest common multiple of g and s(3).
132
Let f be 25/(-50) - 289738/71588. Let l = f - -3/1627. What is the common denominator of l and -2 + -51*1/(-2)?
22
Suppose -3*z - 5*g - 2*g + 135 = 0, 0 = z - 5*g - 45. Calculate the lowest common multiple of 66 and z.
990
Suppose -2*r = -2*u - 5516 - 87384, -5*r - 5*u + 232270 = 0. Let o be r/273 - 2/13. What is the common denominator of 50/27 and 9/(-24)*2*o/9?
54
What is the common denominator of -3/55 and (4/9560)/(29/319)?
26290
Let d = -101262022141/554955558100 + -199/28789975. Let i = -9/610 - d. Find the common denominator of i and 41/10.
1580
Let h = 10680 + -10600. What is the smallest common multiple of h and 1352?
13520
Let z = 738 + -252. Find the common denominator of -65/4 and 1 + (-411)/z - 0.
324
Let m = -455713/60 - -15193/2. Calculate the common denominator of 1/150 and m.
300
Let l = -48316 - -724756/15. Calculate the common denominator of l and 106/(-42) + (-3)/(-9).
105
Suppose 11*x - 34 = -1. Suppose q + 14 = -x*a + 6*a, 2*a - 8 = q. What is the least common multiple of (5/4)/(a/48) and 74?
370
Let d = 249/8 - 36049/1160. Calculate the common denominator of -59/261 and d.
1305
Let k = -14708 + 706075/48. Calculate the common denominator of k and -73/1440.
1440
Calculate the common denominator of -17/384 and 59/(6490/60) + 5937/(-5742).
11136
Let s = 138 + -84. Suppose -46 = -5*g + s. Let x(o) = o**3 - 52*o**2 + 452*o - 3. What is the lowest common multiple of g and x(41)?
380
Suppose 78782 = 171*b - 23416 + 20631. What is the least common multiple of 51 and b?
8109
Calculate the common denominator of (-2)/(-392)*-307 + 3/3 and -3/70.
980
Let h(l) = -15*l**2 - 5*l - 6. Let b be h(-1).