et a be (-39)/f + 3 - (-121)/4. Find the common denominator of 21/5 and (-5 - -9)*(-65)/a.
15
Calculate the common denominator of (1/(-2))/((-33)/41) and (94/(-20))/((5 + -31 + 14)/(-2)).
660
What is the least common multiple of (-54)/(-4)*35/(70/48) and 36?
324
Let d = -26501/7980 - 1/1995. What is the common denominator of 2/(-2)*(-93)/8 and d?
56
Let v = 19 - 16. Suppose v*w - 3*n + 171 = 0, 78 = -4*w + n - 141. Let f = -89 - w. Find the common denominator of 5/3 and f.
3
Suppose -5*b - 5*o - 6 + 36 = 0, -5*b = -2*o - 58. Let f be (-4)/(-6)*(-18)/4 + 0. What is the smallest common multiple of b and (52/182)/((-1)/105*f)?
10
Suppose 4*q - 13 = -7*p + 2*p, -5*q + 41 = -2*p. Find the common denominator of 5/6*-2 + (2 - q) and -61/10.
30
Let r(s) = -2*s**2 - 36*s - 16. Let u(w) = w**3 + 40*w**2 - 88*w - 72. Calculate the least common multiple of u(-42) and r(-14).
96
Suppose 2*v - 5*r - 1097 = -43, -r - 9042 = -17*v. Calculate the least common multiple of 168 and v.
3192
Let p = 220/333 + 1495/444. Find the common denominator of p and 49/954.
1908
Let k be 17/5 - (-2)/(-5). Suppose 7 - 4 = k*f. Calculate the least common multiple of (24 - (-1 + f))*(-3)/(-4) and 90.
90
Let u = 159476 + -25835261/162. Calculate the common denominator of u and (0 - -3)*40/(-66).
1782
Find the common denominator of 55/6 and (39/(216645/(-308)))/(6/(-20)).
606
Let v be 1/(-20)*(-84)/222. Let m = 4583/2220 + v. Calculate the common denominator of 0 + -2 + (-113)/(-22) and m.
132
Find the common denominator of (-60)/728 - (-6)/14 and (-11)/((-44)/219)*(-4)/6.
26
Let g(i) = 58*i + 6. Let s be g(1). Let r = 66 - s. What is the least common multiple of 24 and 8 - -3 - (r - 0)?
72
Suppose 0 = -206*o + 202*o + 8. What is the least common multiple of 2470 and o?
2470
Let g be 280489/8712 + (-4)/22. Let o = g - 368/9. What is the common denominator of o and -167/90?
360
Suppose -18 = -3*a - 3*z, 3*a + 5*z - 12 = 4*a. Suppose -9*h - a + 84 = 0. Calculate the common denominator of h/(-6) + (-47)/3 and 1/27.
54
Let y = 335 - 332. Calculate the smallest common multiple of 30 and 11*((-1)/y - (-512)/24).
2310
Let h be (-2 + 1)*4*7/4. Find the common denominator of 97/50 and 5/(-21)*(h + 728/48).
450
Suppose -249 = -4*c + 4*s + 683, -4*c - 2*s = -902. Calculate the lowest common multiple of 38 and c.
228
Let n = 13578335/228 - 59554. Calculate the common denominator of -43/114 and n.
228
Suppose 3*v - 6 = 6. Suppose v*y - 16 = 32. Calculate the lowest common multiple of y and 26.
156
Let m = 1/68836 - 1531671/4818520. What is the common denominator of -131/2310 and m?
9240
Let g = 290910 - 153600397/528. What is the common denominator of -115/198 and g?
1584
Let r = -1512 + 1532. Suppose -2*a - 5 - 7 = 0. Calculate the lowest common multiple of a/(-30) - (-39)/5 and r.
40
Let j(f) = -7*f**3 - 11*f**2 - 153*f - 725. Calculate the lowest common multiple of j(-5) and 3072.
15360
Suppose 0 = -j + 5*s - 1 - 7, j - 3*s + 6 = 0. What is the smallest common multiple of 0 + j - (-7)/(28/132) and 69?
690
Let y(t) be the second derivative of -2*t**3/3 + 2*t**2 + t. Let h be y(6). What is the least common multiple of 6 and h/(-6) - -2*(-1)/(-3)?
12
Let f = -73 - -84. Let g = -11 + f. Suppose q + r - 1 + 2 = 0, r + 5 = g. What is the smallest common multiple of q and 1?
4
Let q = -33193517/306 + 976681/9. Let k = q - 870/17. Calculate the common denominator of (-54)/(-100)*(-20)/24*7 and k.
180
Suppose -90 = -9*v + 12*v. Let i = v - -33. Calculate the common denominator of -51/20 and -2 + (-35)/66 - i/9.
220
Let u be (3 - -2) + -1*2. Let c(n) = -445*n**3 - n**2 + 8*n. Let h be c(u). Let l = 324044/27 + h. Find the common denominator of -3/11 and l.
297
Find the common denominator of (-26)/429 + 38574/19008 and -37/992.
992
Suppose 2*k = 5*r + 4*k - 176, 4*k = -3*r + 100. Suppose 4*a - 8*a = -r. Let c = -7 + 18. What is the lowest common multiple of a and c?
99
Suppose z = 3*n + 22, 35*z - n = 36*z + 2. What is the smallest common multiple of 13/2 - (-2)/4 and z?
28
Suppose 2*p - 1316 = -2*j, -3*p + 219*j + 1978 = 220*j. What is the smallest common multiple of 2475 and p?
9900
Suppose -36*o + 33*o = -78. Suppose 3*w - 2*m - 46 = 0, 3*w + 3*m - o = m. What is the lowest common multiple of 28 and w?
84
Let x(a) = -5*a**3 + 2*a**2 + 28*a + 29. What is the smallest common multiple of 987 and x(-5)?
3948
Suppose -3 = 2*l - 51. Let j(f) = f**3 - 25*f**2 + 23*f + 29. Let i be j(l). Find the common denominator of -71/8 and (-200)/28*14*i/72.
72
Let o = 1418432357/665358 + 1/110893. Let i = o + -2115. What is the common denominator of i and -19/117?
234
Let c = 191 + -176. Suppose c = 3*r + 3*l, 4*r - 9*r = l - 33. What is the smallest common multiple of 18 and r?
126
Let p = 124877/811716510 - -1/131070. Let b = p - -222931/105281. Let z = b + -184/119. What is the common denominator of z and 71/2?
14
Let v = -16 + 18. Let j be ((-1)/(-2) + 0)/(v/(-48)). Find the common denominator of -51/20 and ((-8)/j)/((-32)/279).
80
Calculate the common denominator of (11 - (26 + -22)) + -991*(-4)/(-550) and -14/275.
275
Let x = 4 + 10. What is the lowest common multiple of (8/2)/(4 - 49/x) and 7?
56
Let c = 8297/2070 + -77/18. Calculate the common denominator of 9/35 and c.
805
Let n = -3043 - -3098. Let t(w) = 4*w**2 + 4*w + 1. What is the least common multiple of t(-3) and n?
275
Let p(y) = y**2 - 104*y + 2723. What is the lowest common multiple of p(58) and 110?
110
Let y(m) = -12*m**3 + 6*m**2 + 9*m - 4. Let p(l) = l**2 + 2*l. Let r(i) = 4*p(i) - y(i). Calculate the lowest common multiple of r(2) and 6.
90
Let c be 115593/22248 + 3/12. Let w be (-11)/9064*1/(-1). Let r = c - w. Calculate the common denominator of r and -75/4.
36
Suppose -3*g + 35 = 4*p - 4*g, 5*p + 4*g - 28 = 0. Calculate the smallest common multiple of 16*((-14)/2 + p) and 24.
48
Let w be 3/(-1 + 4/(-8)). Calculate the common denominator of -32/25 and (-1)/(-10)*w*(8 - 7).
25
Suppose 3*x = -2*n + 4, 4*x - 3*n - 7 - 4 = 0. Find the common denominator of -6*x/(-3) + 68/(-9) and (-148)/225 - (-8)/(-36).
225
Suppose -3*n - 5 = -5*d - 73, 5*d = 4*n - 89. Suppose 3*q - t = 5 + 2, -5*q = -3*t - 9. What is the smallest common multiple of n and q?
21
Let c = 92893453/351 + -264654. Let u = c + -67/27. Find the common denominator of u and -34/3.
39
Let l = -296 + 338. Let a = 68 + l. What is the lowest common multiple of a and 154?
770
Let d be 834856/128 - (-4 - -2). Let o = 6522 - d. Find the common denominator of 0 + 2 + 378/(-88) and o.
176
What is the lowest common multiple of 2270 and ((-9 - -9)/7 - 2)/(3/(-105))?
15890
Suppose q + 1082 = -1542. Let w = -5789 + 46231/8. What is the common denominator of (1/(-8))/(48/q) and w?
24
Suppose 53*r - 70*r = -2*r - 450. What is the lowest common multiple of r and 360?
360
Find the common denominator of 115/28 and (-88)/40 + (-17304)/(-11520).
672
Suppose 3*z + 3*y - 18 - 9 = 0, 2*y + 31 = 5*z. Let h(f) = f - 8. Calculate the least common multiple of z and h(11).
21
Suppose -1108 = -6*p + 4760. Let i = 31107/32 + -971. Find the common denominator of i and (p/24 - 5) + (-2)/8.
32
Suppose -2*j + 36 = h, -5*j + 62 = 3*h - 34. Let n(q) = q**3 + 2. Calculate the least common multiple of n(4) and h.
132
Let f = 67415/28 - 2408. Find the common denominator of f and ((-5)/(-30))/((-2)/(-6)).
28
Let f = 69 - 21. Let w = -2157 - -2169. What is the least common multiple of w and f?
48
Let q = -144/35 - -22/5. What is the common denominator of ((-2)/(-50))/(((-2)/(-435))/1) and q?
70
Suppose -1592 = -o - s, -3*o + 52*s + 4792 = 53*s. What is the lowest common multiple of o and 640?
3200
Let u be (-1)/(-4) + 4917/44 + 1. Suppose 32*p = -u + 369. Calculate the smallest common multiple of (4/10)/(4/2140) and p.
856
Let h(w) = 3*w**3 - 317*w**2 - 101*w - 520. Calculate the least common multiple of h(106) and 4441.
44410
Suppose 21*j - 930 = 17*j - 2*l, -15 = 5*l. What is the least common multiple of j and 156?
468
Suppose -121*x + 122*x - 2 = 0. Let n be -290*x/(-4) - (-2 - -3). What is the common denominator of 37/20 and (-726)/n + 2/(0 + 12)?
40
Suppose -2*v + 3*n + 385 = 0, -3*v + 24*n - 23*n + 581 = 0. Calculate the smallest common multiple of v and (2/9*-3)/(1/(-27)).
1746
Let i = 86/59 - 6647/472. Find the co