30))?
180
Let l = 11 - 7. Let g(z) be the third derivative of z**5/20 + z**4/6 + z**3/2 - z**2. What is the least common multiple of l and g(-1)?
4
Suppose -5*b + 10 + 15 = 5*c, -6 = -3*c. Suppose 4*x + 3*i - 2 = 0, 1 + b = -2*x - 4*i. Calculate the common denominator of -85/18 and 1401/(-126) - x/(-7).
18
Let c(u) = 4*u**2 - 107*u - 27. Let b be c(27). Suppose f - 9*f + 432 = b. Calculate the lowest common multiple of 42 and f.
378
Calculate the common denominator of -167/150 and (194/300 - (-2)/(-3))/(3/(-106)).
150
Suppose -24 = 2*t - 3*t. Calculate the least common multiple of ((-48)/10)/(-2)*(26 + 946/44) and t.
456
Let k = -1737 - -2053. What is the smallest common multiple of k and 12?
948
Let p be (1 + -1)*1/3. Suppose p = -2*d - 103 - 51. Calculate the common denominator of -121/18 and (d/(-21) + -4)*(-267)/418.
3762
Let x(d) = -18 - 6*d**2 - 11*d + 0*d**2 + 5*d**2. What is the smallest common multiple of 18 and x(-5)?
36
Let s(m) be the second derivative of -18*m - 2/3*m**3 + 5/6*m**4 + 2*m**2 + 0. What is the least common multiple of 2 and s(1)?
10
Let c(u) = 2*u**2 - 3*u - 314. Let l(z) = 3*z**2 - 6*z - 627. Let t(g) = 5*c(g) - 3*l(g). What is the least common multiple of 1 and t(0)?
311
Let l be -14*3/(-6) + 4236. Let b = 84769/20 - l. Find the common denominator of -53/88 and b.
440
Suppose -y = -0*y - 1055. Let w = y - 9482/9. What is the common denominator of w and 20584/(-744)*2/(-32)?
144
Let r = 14 - 15. What is the common denominator of ((-110)/100)/(0 + r) and -22/5?
10
Suppose -2*o - 16 = -5*y, 6*o - 2*o - 2*y = 0. Suppose q + 66 = 2*q - o*p, p - 66 = -q. What is the lowest common multiple of q and 66?
66
Suppose 363 = -3*f - 2*c, -3*f - 5*c = 2*f + 605. Let l = 181 + f. Calculate the lowest common multiple of l and 60.
60
Let j = -20449 - -20577. Calculate the least common multiple of j and 288.
1152
Find the common denominator of -5/4 and (4/6)/(-33 - -31)*41/139.
1668
Let j = 20 + -44. Let b = -20 - j. Calculate the common denominator of (4 - b) + 43/(-3) and 57/5.
15
Let d = 50231/6164 - 187/23. Calculate the common denominator of -61/10 and d.
1340
Let x = 4266/5 + -152951/180. Let t be (-6*1/2)/((-9)/(-75354)). Let j = t - -451987/18. What is the common denominator of j and x?
36
Let v(r) = -r. Let u be v(6). Suppose 0 = -289*d + 269*d - 30660. What is the common denominator of d/196 + (1 - u/(-8)) and -73/8?
56
Suppose 0 = 9*o - 12*o + 1197. What is the smallest common multiple of 72 and o?
9576
Calculate the lowest common multiple of (4 - 2)*11050/20 and 45.
9945
Let c be (-361430778)/3528 + 7/4. Let b = c + 102445. Calculate the common denominator of b and -20/33.
3234
Let c = 82 + 32. Let v be (-5)/(-3) + (-160)/(-48). Suppose n = 2*j - c, v*j - n - 49 = 239. What is the least common multiple of 12 and j?
348
What is the common denominator of (3/48)/((-2)/178) and (-4)/(-108) - 283261/2090880?
640
Suppose -t = -2*t + 4. Let x be 3*(-5)/(-15)*0. Suppose 64 + x = 4*s. What is the least common multiple of s and t?
16
Let r = -20369/21105 - 297784547/2152710. Let j = -3877179/17 - -228207. Let h = j + r. What is the common denominator of 19/2 and h?
54
Let w = 1453951/343948 + 1/31268. Find the common denominator of -65/638 and w.
638
Suppose -2*f - 62 = -5*q - f, 2*q + 5*f = 14. What is the lowest common multiple of q and ((-8)/(-1))/(27/30510*40)?
1356
What is the common denominator of 54/30 + -7 + (-4)/(-2) and 183/(-488) - 1689/(-1176)?
245
What is the common denominator of 8/((-1544400)/55549) + (-2)/(-11) and 109/120?
5400
Find the common denominator of 63/1084 and -8 + ((-70)/(-68))/7*(-17874)/(-270).
18428
Let u(z) = -1610*z**3 - 2*z**2 + 14*z - 12. Let q be u(1). Let i = q - -2416. What is the lowest common multiple of 10 and i?
4030
Let i = 18366 - 18332. What is the smallest common multiple of 66 and i?
1122
Suppose 379 = 4*j + r + 30, 0 = -5*j - 11*r + 407. What is the smallest common multiple of 16 and j?
176
Suppose -977*i = -p - 975*i + 427, -4*p = -i - 1771. What is the least common multiple of 115 and p?
10235
Suppose 7*v = -16593 - 19926. Let j = v - -610397/117. Find the common denominator of j and 93/8.
936
Find the common denominator of -5*7/(-140)*(-20 - 134) and (2/(-96))/(1/(-91)).
48
Suppose -70 + 15 = -11*g. Suppose -30 = -y - g*p, 2*p - 66 = -3*y - p. Calculate the lowest common multiple of y and 44.
220
Calculate the common denominator of -139/126 and ((-2620)/576 - 7) + 12.
1008
Let f be -5 + 10/((-51300)/(-24831)). Let i = -4684/9405 - f. What is the common denominator of 57/22 and i?
198
Let z = -1468089751/42 - -34993895. Let p = z + -39381. Find the common denominator of 49/48 and p.
336
Let t = 13431 + -13365. What is the lowest common multiple of 2208 and t?
24288
Let w = 23650 - 23630. What is the least common multiple of w and 992?
4960
Suppose -4*g + 5*g - 5*z - 61 = 0, -5*g - 4*z = -450. Find the common denominator of ((-6)/8)/(189/747) and (g/10 - 3) + -5.
140
Suppose 0 = -i + 6 + 4. Let r(p) be the third derivative of -p**5/60 + 19*p**4/24 - 8*p**3 - 12*p**2 - 3. What is the least common multiple of r(8) and i?
40
Calculate the common denominator of 7/639 and (-5 - 8916/972) + 15.
5751
Suppose 4*w = 12, -191*g + 1425 = -187*g + 3*w. Calculate the smallest common multiple of 22 and g.
3894
Calculate the smallest common multiple of (-12 + 14 - 1)/(2/270) and 90.
270
Let d = 97 + -29. Let m(f) = -33*f - 84. Let w be m(-6). Let c = 118 - w. What is the least common multiple of c and d?
68
Let a = 158455/34 + -4661. Calculate the common denominator of a and 101/26.
442
What is the lowest common multiple of -1*(-10 - 3858 - (-1 + -3)) and 5520?
38640
Suppose -19*p - 587809 = -508*p + 336401. Calculate the least common multiple of p and 210.
1890
Let n = -2772 - -2794. What is the least common multiple of n and 166?
1826
What is the common denominator of 89/16 and (-637)/(-588)*(-18)/352?
704
Find the common denominator of 53/(-8) + 9 + -7 and (-56)/448 - 1815/(-216).
72
Let c(d) = d**2 + d. Let y be c(-2). Let o = -86/107 + 5247/1070. Calculate the common denominator of o and y/12*1*(-93 + 4).
30
Suppose 0 = q + 74 - 8. What is the least common multiple of (-33)/q*(110 + 0) and 5?
55
Find the common denominator of (75/(-18))/((-12)/54) and 1 + (-5778)/2460 + (-6)/(-20).
164
Suppose 0 = 3*p - 3*j + 492, -p + 4*p + 468 = -5*j. Let m = -287 - p. Calculate the common denominator of 97/12 and 36/m - 10/56.
84
Suppose -h - 5*h + 4*j = -872, -4*j + 424 = 3*h. Calculate the least common multiple of 96 and h.
288
Suppose -2*g - 7336 = -6*g - 3*d, 3*g = 2*d + 5536. What is the smallest common multiple of 100 and g?
9200
Suppose 2835 = -23*o + 31240. Calculate the least common multiple of 45 and o.
11115
Find the common denominator of 113/42 and (-104419)/(-11676) - (-18)/(-2).
11676
Find the common denominator of 73/12 and (-7644)/(-4592)*(-1)/48.
7872
Let b be 2/3 + 126/(-27) + 4. Suppose 8*m - 55 - 73 = b. Let t = -4 + 22. What is the smallest common multiple of t and m?
144
Let z = 188 - 185. Suppose 5*m = f - 89, 5*f = -z*m + 8*m + 465. What is the least common multiple of 2 and f?
94
Suppose 8*n = 4*n - 2220. Calculate the common denominator of (-45)/(-840)*(-7 - (-105)/6) and (-1545)/(-12)*(-6)/n.
592
Let g = 15286 + -412787/27. Find the common denominator of (-19 - -11 - -15) + 1573/(-264) and g.
216
Suppose -4*n + 32 = -16. Let f = -5774/9 - -638. Calculate the common denominator of (-60)/18*(-17)/n and f.
18
Suppose 0 = -12*s + 5 + 535. What is the common denominator of -35/9 and (-4*1/(-8))/(s/738)?
45
Calculate the smallest common multiple of (-7638)/(-190) + (-9)/(-5) and (-6)/((2 + -3)/20).
840
Let z(l) = -l**2 + 2. Let u(n) = 5*n**2 + 31*n + 116. Let k(a) = -u(a) - 4*z(a). What is the least common multiple of 4 and k(-8)?
60
Let g = -218809/27 + 8103. Find the common denominator of g and 14/201.
1809
Let a(o) = -168*o + 7. Let y be a(-8). Let p = -4016/3 + y. Let h = 2186560/41 - 53332. What is the common denominator of p and h?
123
Let l = 13150 - 12836. Suppose -3*b - 5*h + 38 = 8, 5*b - 50 = 2*h. Calculate the least common multiple of l and b.
1570
Let o(g) = -2606*g + 5227. Let a(c) = -c**2 + 132. What is the smallest common multiple of a(0) and o(2)?
660
Let q = 6941/