**2. Suppose 5*r = -3*c + 44 - 7, 3*r - 11 = c. What is the smallest common multiple of r and m(14)?
40
Let g = 13010 - 23751. Let u = g - -129011/12. Calculate the common denominator of u and 89/12.
12
Let v = 7/361 + -12365/4693. Calculate the common denominator of v and -47/42.
546
Let d(j) = 3*j - 1. Let v(r) = -2*r**3 + r**2 + r. Let i be v(-1). Calculate the least common multiple of ((-11 + 5)/(-24) + (-2)/(-8))*4 and d(i).
10
Let s = 35 + -10. Suppose 4*f = k - 0 + 2, 5*f - s = 0. What is the least common multiple of k and 1/3*(28 + -58)*8/(-40)?
18
Suppose -13*z = 30*z + 516. Let t be (-54)/4*(-8)/(-6). What is the smallest common multiple of (-48)/t*(-27)/z and 14?
42
Suppose 0 = 5*j - 3*r - 147, -j + 24 + 2 = -4*r. What is the smallest common multiple of (-2)/(((-728)/2660)/13) and j?
570
What is the least common multiple of 90 and (-4)/1*(-16770)/156?
3870
Let v = 5681 + -5672. Calculate the smallest common multiple of v and 784.
7056
Let n = -2276 - -2291. Calculate the smallest common multiple of 183 and n.
915
Let y be (-88)/16 + (-6)/(-4). Let n = -2 - y. Suppose -46 = -8*w + 6*w + h, 3*w - 4*h - 64 = 0. Calculate the smallest common multiple of w and n.
24
Suppose 6*w = -j + 2*w + 533, 5*j - 2*w = 2555. What is the lowest common multiple of 627 and j?
5643
Let f be (-4)/6 + (-646)/57. Calculate the common denominator of (-218)/(-48) - 4/6 and ((-3480)/(-50))/f + 6.
40
Find the common denominator of 6 + (-1 - 8/(-10))*(-1431990)/(-47628) and -65/126.
378
What is the common denominator of 41364/(-9975) + 4 - (-200)/700 and -49/160?
15200
Suppose 66*n - 57*n = 1341. Let g = n + -128. What is the least common multiple of 9 and g?
63
Suppose -8 = -2*m, 0*m - 4*m - 16 = -4*l. Calculate the common denominator of 2/l - 185/(-120) and 196/1120*(-828)/(-42).
120
Let p = 32 - -4. Suppose -a + 48 = 2*j + 38, 5*a - j - 39 = 0. What is the smallest common multiple of p and a?
72
Let j = -23068 + 23113. What is the least common multiple of 11 and j?
495
Suppose -5*k + 2*m = -266, 73 + 144 = 4*k - 3*m. Let f = -843 + 5907/7. Find the common denominator of k/(-15) + (5 - 3) and f.
105
Let d = 170671/148410 - 677/873. Find the common denominator of d and -103/30.
510
Let c be 4/22 - 150/(-22). Suppose 0 = -c*m + 2*m + 4*b + 120, 0 = -m - b + 15. Let t(a) = 22*a - 10. Calculate the lowest common multiple of m and t(2).
340
Find the common denominator of 43/345 and 2/((-40)/(-52)*(-4)/14).
690
Let o(h) be the second derivative of -h**5/20 + 3*h**4/4 - h**3 - 2*h**2 + 60*h. What is the least common multiple of 6 and o(8)?
12
Suppose 16*u + 4*y - 59 = 15*u, -3*u - 4*y + 169 = 0. Suppose 0 = u*r - 42*r - 130. What is the smallest common multiple of 6 and r?
30
Let b be (-1471)/(3375/55 + -6). Let t = 678/29 + b. Find the common denominator of t and -57/35.
105
Let u = -532 + 529. Calculate the common denominator of (-44)/45 + 1 + -1 and (u*2/(-360))/(2/532).
90
Suppose 6627 = 3*j + 678*v - 680*v, 0 = -4*j + 2*v + 8832. What is the lowest common multiple of j and 1260?
8820
Calculate the common denominator of 99/602 and 58/5*14/(-172) + 1.
3010
Let v(b) = 21*b - 609. What is the lowest common multiple of v(31) and 9/(-2)*880/(-60)?
462
What is the common denominator of 26/7 and 104/(-234) - 7509/(-19143)?
4963
Let y = 33905 - 33785. Calculate the lowest common multiple of y and 2060.
12360
Let o = 7872 + -7860. Calculate the least common multiple of 2322 and o.
4644
Let v = -517 - -232. Let z be (-6)/9 + v/(-9). Let r = z + -25. What is the least common multiple of 27 and r?
54
What is the common denominator of (1480/144 - 10)*(88/310)/(-1) and -88/21?
1953
Let g = 7 + -5. Suppose c - 12 = -g*v, -v + 39 = 3*c + 2*v. Suppose 5*i - 121 = -29*o + 32*o, 5*o + 75 = 2*i. What is the smallest common multiple of c and i?
140
Calculate the common denominator of 536/(-30)*5/(-120)*3 and ((-28)/42)/(2 - (-132)/(-68)).
30
Let h(n) = 7*n + 26. Suppose -2*g + 4*m - 12 = 0, -5*g - 4*m + 9*m - 50 = 0. Let i be h(g). Let r = -66 - i. What is the lowest common multiple of 18 and r?
18
Find the common denominator of (-6)/(-42) - 0 - (1675/(-1260) - -4) and -1 + 1 + (-14)/12.
36
Let p = 33/7963 + 428187/437965. Let t = -29/36 - -581/900. What is the common denominator of p and t?
275
Suppose 3*h = -0*h + 753. Let z be (-1 + h)/((-140)/(-130)). Let j = z - 226. Calculate the common denominator of j and 63/46.
322
Suppose 2*g + 4 = -i + 4*i, 32 = 4*i + 4*g. Let j = -25028/139659 - 1/3581. Find the common denominator of 175/63 + i/6 and j.
117
Suppose -m + 4*m = -r + 48, 0 = -5*r. What is the lowest common multiple of m and ((-99)/(-55))/(45/150)?
48
Suppose 0 = w - 1, 6 = 2*x + 5*w - 3. Suppose 0 = 5*g - x*g - 66. Suppose -4*y = -5*z - 69, 4*z - 9 = -y + 3. What is the smallest common multiple of y and g?
176
Let y be 24/9 - (-2)/(-3). Suppose 0 = 5*c + y*l - 107 - 1, -3*c + 5*l = -40. What is the smallest common multiple of c and 44?
220
Let y(d) = -527*d - 3303. Calculate the smallest common multiple of y(-9) and 576.
2880
Let v = -570976075/1426 + 400404. Find the common denominator of v and -10/31.
1426
Let d = 10988 + -1076839/98. Calculate the common denominator of d and 29/294.
294
Find the common denominator of ((-435)/(-30) + -14)/((-9038)/74) and -101/22.
99418
Let y = -20630216239/20 + 1031770392. Let n = y + -259789. Let m = n + 829/4. What is the common denominator of -83/8 and m?
40
Suppose -6*s = -11*s - 30. Let g be (3 + 0)/(s/8) + -3. Let x(r) = -r**3 - 7*r**2 - 2*r - 7. What is the smallest common multiple of 4 and x(g)?
28
Let h be (-29 - -25)*(-357)/4. Suppose 4*g - 477 = -h. What is the lowest common multiple of 3 and g?
30
Let r(d) = -4*d**2 + 2*d - 44. Let x be r(7). What is the common denominator of 62/3 and ((-60)/(-200))/((-48)/x)?
240
Let n be (-3 + (-66896)/20)/(24/(-20)). Let t = n + -2799. What is the common denominator of 43/30 and t?
30
What is the common denominator of ((-3)/(-6) + (-496)/(-120))/(10/25) and 35/2776?
8328
Suppose 0*x - 12 = 5*f + 4*x, 2*f + 4 = -2*x. What is the common denominator of f/12*72/7 and (26/(-16) + 2)/((-48)/400)?
56
Suppose 5*c - 57 = -2*x, -97 + 79 = -3*x. What is the smallest common multiple of c and 1630?
14670
Let d = 208 + -216. Calculate the least common multiple of 278/7 + d/(-28) and 15.
120
Let u = -14629/6 - -341347/140. Find the common denominator of -1/210 and u.
420
Find the common denominator of (-472)/(-14084)*7/(-14) and 89/2012.
14084
Let o = 20737 - 20719. Suppose 4 = 2*i + 16. Let y = i + 22. Calculate the lowest common multiple of o and y.
144
Let p = 1297689/46 - 28212. Calculate the common denominator of 10 + (-1488)/150 + (-2504)/50 and p.
46
Let t = -122668 - -160081687/1305. Find the common denominator of 17/261 and t.
1305
Let a = -4 - -18. Suppose 192 = a*i - 6*i. What is the least common multiple of 4 and i?
24
Find the common denominator of 107/14 and ((-44)/66)/((-12)/82)*46/(-322).
126
What is the lowest common multiple of 6/(-10) + (-3609)/(-15) and (28/8 - 5)/((-18)/168)?
1680
Let z be 11/(2541/(-1878))*20/24. Let b = z + 239/33. Calculate the common denominator of b and -29/63.
693
Let q = 3288 - 3280. What is the lowest common multiple of 396 and q?
792
Let g(u) = 8*u. Let n(m) = m**3 + 12*m**2 - 14*m - 8. Let b be n(-13). Suppose 6 - 1 = b*s. Calculate the smallest common multiple of g(s) and 8.
8
Suppose w + 2*w + 828 = 2*m, 3*w = -5*m + 2112. Let b be 74/m*(-178)/6. Let l = b - -216/35. Find the common denominator of l and -31/20.
180
Let b = -6624935828 - -147418071890745/22252. Let j = b + 1/16689. Find the common denominator of j and -1*(0 - 51/(-48)).
48
Let l = -8/12659 - 379901/19823994. What is the common denominator of -23/4 and l?
3132
Let z = -2 + -120. Let a = z - -100. Find the common denominator of 63/22 and a/(-18) + (-30)/(-135) + 2.
198
Let w(t) = 69*t + 1588. What is the lowest common multiple of 16 and w(20)?
5936
Calculate the common denominator of -70/39 and ((-2)/18)/(6120/4995) + (-6)/51.
312
Suppose 61 = 19*x - 53. Calculate the lowest common multiple of 2 and x.
6
Let n = 10/367 + -23/14313. Find the common denominator of n and 19/1158.
15054
Suppose 7*l = 170 + 271. Calculate the least common multiple of (l/4)/(24/192) and 6.
126
Calculate the l