683
Let z be (26*3/6)/(14/742). Let j = z - 12439/18. Calculate the common denominator of -80/21 and j.
126
Let o = 45/5207 + -209253/9752711. Find the common denominator of o and -32/5.
9365
Let i = 3077 - 2927. Let k(x) = -x**3 + 3*x**2 - 2*x + 12. Calculate the lowest common multiple of k(0) and i.
300
Let g = 33993495/554 + -61360. Let h = g - -7439/21329. What is the common denominator of h and 61/8?
616
Let u(y) = -26*y - 404. Calculate the least common multiple of 173 and u(-17).
6574
Let a(m) = m**3 + 6*m**2 - 16*m - 1. Let o be a(-7). Let y = o - 58. Suppose 0 = -z + 13 + 11. Calculate the smallest common multiple of y and z.
24
Let h be 813/12 - 24/32. Suppose -h*a = -62*a + 315. Calculate the smallest common multiple of (4/14 - (-39)/a)*-6 and 18.
18
Let g = 113 + -287. What is the common denominator of -37/2 and (16/(-24))/(304/g)?
76
What is the least common multiple of 1235 and (10/3)/(102/7956)?
4940
Suppose -5*x = -3*s - 4195, 59 + 1619 = 2*x + 2*s. Calculate the smallest common multiple of x and 9.
7551
Calculate the least common multiple of (-1400)/(-18) - (-6)/27 and 7/((-21)/(-12)) - ((26 - 55) + 3).
390
Let a be 4/(-12) - (1550/15)/(-10). Calculate the common denominator of 4/a - ((-11312)/120)/(-14) and 3 + -1 + (-2)/9.
9
Suppose 26*s - 5013 = 4867. Calculate the least common multiple of 12 and s.
1140
Let p = -690 + 680. Calculate the common denominator of (-2225)/120*(3 + 33/p) and 13/120.
240
Let b = -1216001/812700 + 1371/1075. Find the common denominator of -133/162 and b.
2268
Suppose 3*j + 3*j = 90. Calculate the smallest common multiple of 6 and (42/j)/(-1 + 33/30).
84
Let v(a) be the third derivative of a**5/30 + 7*a**4/24 - a**3 - 3*a**2 + 8. Calculate the lowest common multiple of v(-6) and 9.
72
Let l = -85060/3 + 13864510/489. Let p = l + 235963/427060. Let y = p + -69433/7860. Find the common denominator of 44/3 and y.
6
Let j be (-2)/(-4) + (-6441)/10. Let m = -6533539/10640 + -4287/133. Let v = m - j. Calculate the common denominator of -97/20 and v.
80
Suppose -130996*t = -130986*t - 5640. What is the lowest common multiple of 18 and t?
1692
Let c be (-38)/34916*(-8730765406)/(-534765) - -3. Let v = 34466/61103 - c. Let s = 2/2315 + v. Find the common denominator of s and -19/9.
9
What is the least common multiple of (220/35)/(5/105) and 120?
1320
Let w = 23157 + -1343179/58. Calculate the common denominator of 7/130 and w.
3770
Let y be (-6 - -3)/6*-1*10. Suppose 3*d = -y*l - 250, 3*d + l + 230 = -0*d. Find the common denominator of 11/12 and ((-70)/d)/1 - 4.
60
Let v = -2/52057 - -3904459/4789244. Let x = -2730977/32 - -85344. Find the common denominator of x and v.
736
Let m = 232265/444 - 4022/37. Let w = m + -2417/6. What is the common denominator of -103/84 and w?
84
Let y be 18 + (-1)/((-4)/(-36)*-3). Let z = -281947/132 + 8539/4. Find the common denominator of z and y/21 + (-13)/33.
33
What is the common denominator of 7/22557 and (-434)/(-3038)*(-833)/10?
225570
What is the least common multiple of 3*((-17)/(-3) + -2) and 13*10/130 - -8?
99
Suppose 3*g - 27 = -15. Suppose -g*b = -139 - 337. Find the common denominator of 37/8 and 4/(-12) + b/(-6).
24
Let b = -1/25874 - 1228937/2018172. What is the common denominator of b and 8/351?
1404
Let f be 21/(-2)*578800/150. Let p = 11020427/272 + f. Find the common denominator of -9/8 and p.
272
Let j = -34465/12 - -2882. Let g be (-2)/(-12) - (-142)/372. Let p = g - 1511/1116. Find the common denominator of p and j.
36
Let p be -1 - (46/115 - (-4993)/5). What is the common denominator of 8580/p + 8/1 and -169/90?
450
Let r = -17 + 23. Let j be 186 + 0 + 3 + -5. Suppose -186*m = -j*m - 84. Calculate the lowest common multiple of r and m.
42
Let y(h) = h**2 + 2*h - 13. Suppose -69 - 19 = -8*k. What is the common denominator of 3 - 10/(-8)*k and y(-9)?
4
What is the common denominator of -62/33 and 3/5*(-23240)/(-8217)?
33
Calculate the least common multiple of 24 and -5 + (-2 - -45) - 14.
24
Suppose -a = 4*d + 4531, -2*d - d = 5*a + 22655. Let b be a/(-11340) - 16/40. Let l = b + -1840/6237. What is the common denominator of 71/2 and l?
44
Let n be -73 - (-2 - 15/(-3)). Suppose -2*p + 0*a - 204 = 2*a, -3*p + 3*a = 294. Let s = n - p. Calculate the least common multiple of 12 and s.
24
Let v = 1925417/110 + -17504. Calculate the common denominator of v and 1 - 3 - (-51)/(-15).
110
Let s(v) = 4*v**3 + 9*v**2 + 5*v + 9. Let d be s(-7). Let p = d + 9691/10. What is the common denominator of 46/40*40/(-32) and p?
80
Let d(f) = 3*f**2 - f + 5. Suppose -3*q - 5*k = -635, -40*q + 3*k + 151 = -39*q. What is the least common multiple of q and d(-4)?
570
Let v = -269 + 269. Suppose -300 = -v*x - 25*x. What is the least common multiple of x and 40?
120
Suppose 2*g - 749 + 508 = 695. What is the lowest common multiple of g and 1?
468
Let s(o) = o + 94. Let v be s(4). Suppose -93*f + v*f = 450. Calculate the least common multiple of 1 and f.
90
Let r = 42 - 40. Suppose 0 = -r*c - 3 + 33. Suppose 2*b = 4 + 2. What is the smallest common multiple of b and c?
15
Let g = 16 + -31. Let w be 2/g + (-10808)/(-2760). Let j = -1123/230 + w. Calculate the common denominator of j and -9/4.
20
Suppose 0 = -3*h - b + 166, -45*h - 89 = -47*h - 5*b. Calculate the least common multiple of 12 and h.
228
What is the common denominator of 97/836 and (-18)/21 + 10881/1890?
4180
Let w(s) = 4*s + 1. Let x = -75575 - -75672. Calculate the least common multiple of x and w(1).
485
Let d(s) = -3*s + 34. Suppose 73 = i + 65. Calculate the smallest common multiple of 10 and d(i).
10
Let r(z) = 8*z**2 + 5*z - 5. Let f(t) = -9*t**2 - 6*t + 5. Let h(g) = 2*f(g) + 3*r(g). Calculate the least common multiple of h(-3) and 50.
200
Calculate the common denominator of 24/245 and (7/(84/(-16)))/((-17)/(7344/1575)).
1225
Let y be ((-28)/6)/((-14)/(-21)). Let o(x) = 4*x + 16. Let d be o(y). Let k = 15 + d. What is the smallest common multiple of k and 30?
30
Let v(h) be the first derivative of 3*h**3 - h + 3. Let b = -11 + 24. What is the smallest common multiple of v(-1) and b?
104
Suppose -10948 = -2445*s + 2431*s. What is the smallest common multiple of 3519 and s?
7038
Let k = -70233 + 24651755/351. What is the common denominator of k and 47/18?
702
Calculate the common denominator of 145/312 and 3/117*797/90 - (-45)/(-225).
2808
Suppose 197 = 6*u - 7. Let i(w) = -w**2 + 34*w + 4. Calculate the least common multiple of 76 and i(u).
76
Suppose 39*h = 49*h + 2640. Let q(v) = v**2 - 2. Calculate the least common multiple of q(-2) and (-242)/4*96/h.
22
Calculate the common denominator of 103/36 and -5 + (6 - (-18081)/(-19440)).
2160
Let c = 6564 - 5976. What is the least common multiple of 980 and c?
2940
Let w = 398 - 246. Let k = -147 + w. What is the smallest common multiple of k and 1/(1 + 0 - 0)?
5
Find the common denominator of ((-1*2/(-6))/(-3))/((-7840)/4956) and -49/4.
840
Let n be ((-35)/4 + 8)/(2/(-240)). Suppose -240*w - n = -245*w. What is the lowest common multiple of 142 and w?
1278
Suppose 15*m = 14*m - 2*t + 156, -3*m = t - 463. What is the lowest common multiple of 682 and m?
4774
Let a be (-7842)/(-18) + (-2)/(-6). Calculate the common denominator of 1/40*((-105)/14)/((-2)/(-34)) and a/48 - (1 - 1).
48
Suppose 0 = 150*o - 833 - 517. Let v = -22 - -40. What is the smallest common multiple of o and v?
18
Let z = 7337 - 7309. Calculate the least common multiple of z and 1444.
10108
Let j = 1618 + -6529/4. Let p = 321 - 341. Find the common denominator of j and 46/(-5) + p/40.
20
Let o(b) = 6582*b**3 + b**2 + b + 1. Let r be o(-1). Let x = 12831 + r. Let j = x + -162535/26. Calculate the common denominator of j and 127/18.
234
Suppose 0 = z - 5*z + 112. Let n be 152/(51/90 + 1/(-6)). What is the least common multiple of z and 1 + 204/10 + 228/n?
308
Suppose s - 411 = -38*d + 33*d, 0 = 4*d + 3*s - 331. What is the smallest common multiple of d and 410?
410
What is the common denominator of 61/510 and 2/(-36)*3 - (10 - (-4245)/(-270))?
1530
Suppose 103 + 57 = 2*n. Let k = -80 + n. Find the common denominator of -67/20 and 3 - k - (339/(-10))/(-3).
20
Let w = -329/632 - -130/79. Calculate the common denominator of w and -73/6582.
26328
Let z = -934 + 9459/10. Calculate the common denominator 