415. What is the common denominator of 82/15 and -5 + p + (2512/(-156))/(-4)?
195
What is the common denominator of (-8*(-10 + (-281)/(-28)))/(24/(-274)) and -81/56?
168
Let z = 2/2511 - 203407/20088. Let g = 449/56 + z. Find the common denominator of 2/4*(-67)/2 and g.
28
Suppose 162 = -144*n + 162*n. Calculate the smallest common multiple of 345 and n.
1035
Let l = 50378 + -50318. Suppose 0 = 5*d - 46 - 4. Calculate the smallest common multiple of l and d.
60
Let o = -2/2123989 + -129561637/1796894694. Calculate the common denominator of o and 50/9.
846
Let g(f) = 10*f**2 + 113*f - 878. Calculate the least common multiple of g(8) and 9.
666
Let x = -13061/1196 - -218/23. Calculate the common denominator of x and (-1 + -2)/((-140)/630) - (-6 - -1).
52
Let t(b) = -15*b - 36. Let k be t(-15). Let d = -156 + k. What is the smallest common multiple of 9 and d?
99
Let i = -73 + 70. Let a be i*7/(-9)*(3 - 0). Find the common denominator of a/168*(0 - 145) and -133/6.
24
Let a = 431 - 421. Let n(p) = p - 1. Calculate the least common multiple of n(10) and a.
90
Let q = -2986 - -3094. Calculate the lowest common multiple of q and 2.
108
Let t = 25140 + -25053. What is the lowest common multiple of 417 and t?
12093
Suppose 0 = 2*d - 2*b + 26, -d = b + 2 + 3. Find the common denominator of ((-190)/125)/((-44)/55) and (-78)/d*(-15)/4.
10
What is the common denominator of 41/9111 and 159/(-24) - (3/(-6))/(4 + -5)?
72888
Let h = -36539144/3 - -1719117517/141. Let t = h - 12609. What is the common denominator of t and -55/3?
141
Let u be -1 + (29098 - (-6 + 3)). Let r = u + -6634811/228. What is the common denominator of r and 55/18?
684
Let x = -787949/54 - -14592. Calculate the common denominator of x and -17/18.
54
Let c = 798811/16065 - 1339/27. Find the common denominator of -35/306 and c.
10710
Let o(l) = -45*l - 3*l**2 + 38*l + 5*l**2 + 4. Let u(h) = h + 5. What is the least common multiple of o(3) and u(3)?
8
Let p(n) = -2*n**2 + 10*n - 3. Suppose -16*l + 480 = -21*l. Let o = l + 98. What is the smallest common multiple of p(3) and o?
18
Let c = -36781/4 - -9183. Find the common denominator of c and -43/11000.
11000
Let p be 345/(-198) - (-13 - -17). Let q = p - -11/6. What is the common denominator of 127/246 and q?
2706
Let n be (-18)/(3/(-16) + 0). Suppose 4*y + 43 = -3*j + 4*j, -4*j = 3*y - n. Calculate the lowest common multiple of j and -2 + 1 + (6 - 2).
27
Let j be ((-6)/(-9))/(2/(-9)). Let a = 299159/20 - 14964. What is the common denominator of a and j*3/(-15)*(-51)/18?
20
Let o be 2 + (11 + 0 - 2) + -2. Let y(q) = 2*q**3 - 18*q**2 + 15*q - 33. Calculate the lowest common multiple of 27 and y(o).
918
Find the common denominator of (23/20)/(-21 - (-1575)/(-50)) and 97/350.
1050
Let a = -100 + 4. Let s be a/(-10)*(10 - 5). Find the common denominator of (151/(-45))/((s/(-5))/(-8)) and -49/3.
54
Let y(d) = 5*d**3 - d**2 + 2*d - 2. Let v be y(1). Let o(s) = 7*s + 2*s - 3*s - 10. What is the smallest common multiple of o(v) and 11?
154
Suppose -15*c = 5 - 35. Calculate the common denominator of -125/6 and c/((-192)/(-99) - (-2 + 6)).
102
Let z(u) = -u**3 + 15*u**2 + 3*u - 20. Let v be z(15). Let r be 0/1*(v + -24). Suppose r = -b - 2*b + 90. What is the least common multiple of 1 and b?
30
Suppose -26 + 166 = 7*a. Let t = -32 + 34. Suppose 5*w + 11 = -m + 44, 0 = -t*m - 2*w + 42. Calculate the lowest common multiple of m and a.
180
Let n(q) = -3*q + 51. Let l(g) = -g**3 + 8*g**2 - 3*g - 22. Let o be l(7). Calculate the lowest common multiple of n(o) and 27.
297
Find the common denominator of 34/30 - (1 - -5 - 6) and 127/396.
1980
Let h = -83767/127764 + 4/4563. Let g = -16660/33 + 222533/440. Calculate the common denominator of h and g.
840
Let o = -305/32021 + -8357317235/384252. Let c = 21762 + o. Find the common denominator of c and -91/24.
24
Let l = -2/63275 - -2594451/5568200. Calculate the common denominator of l and 1/1188.
2376
Let k = -8/1525 - 83597/634400. What is the common denominator of k and -73/224?
2912
Let t = -115 - -45. What is the common denominator of -63/2 and 4 - ((-4)/t)/(20/1105)?
70
Calculate the common denominator of (-13 - 1*(-7327)/238)/(3*-4) and 9/1024.
7168
Let s = -4678340530753576588/701335 - -6670621786673. Let k = -868/223 + s. Let a = k - -418123/56610. Calculate the common denominator of a and 21/16.
144
Suppose 13*m = 19*m - 252. Let f = m + -40. Calculate the common denominator of f/42*(-324)/(-16) and -13/10.
140
Let a be (16/6)/((-30)/(-1035)). Suppose -267 = -5*c - a. Suppose c = 7*h + 7. Calculate the least common multiple of h and 14.
28
Suppose -24*a + 0*a + 96 = 0. Suppose -2*n - 8 = -4*g, -20*g + 19*g + a*n = 12. Calculate the least common multiple of g and 18.
36
Let v(j) be the first derivative of -21*j**4/4 + 3*j**2/2 + 11*j + 69. Calculate the smallest common multiple of v(-2) and 8.
1384
Suppose 2*o = 4*x - 44602, -4*x = 2*o - 21586 - 23012. Let i = x - 267563/24. Calculate the common denominator of 41/2 and i.
24
Let m = 5705 + -85699/15. Let i = m - 46/15. Let o = -1227/40 + 393/10. What is the common denominator of i and o?
24
Let u = -110 + 158. Suppose v - 32 = -3*o - 5, u = 3*v - 2*o. Calculate the least common multiple of v and 153/34*(-4)/(-3).
18
What is the common denominator of -52/7 and ((1740/(-3676))/(-15))/(-1)?
6433
Let c(p) be the first derivative of -5*p**2 - 4*p - 3. Let d be c(-2). Suppose 5*z - d = z. What is the lowest common multiple of 18 and z?
36
What is the lowest common multiple of 2 and ((-2805)/748)/(5/(-2352))?
1764
Let r be (1/2)/((-6)/135571). Let t = r + 11307. What is the common denominator of (12/(-9))/(-4) - 22703/1752 and t?
24
Suppose 0 = -3*p + 2211 + 6726. What is the least common multiple of 2317 and p?
20853
Let n = 209191/589336 - 18/6697. Find the common denominator of n and (-4585)/1320 - 4/(-22).
264
Calculate the common denominator of (121875/(-660))/25 - -5 and -95/252.
2772
Let s be 4*4 + (-3 - (7 + -6)). Let l = s + 3/2. Find the common denominator of l and 1/22.
22
What is the least common multiple of 170 - 7 - ((-2 - 0) + 9) and 40?
1560
Find the common denominator of -43/112 and 8*(-1188)/355520*(-15)/14.
11312
What is the common denominator of 1/(3/(-101))*255/(-2380) and (-426)/784*16/(-24)?
196
Suppose 13*p - 9*p + 6721 = -3*r, 2*p = 3*r + 6697. Let s be 1/(-3) - 40294/(-18). Let u = r + s. Find the common denominator of -27/8 and u.
72
Let n = -30968 + 92969/3. Calculate the common denominator of n and 31/4296.
4296
Suppose -108*h + 1188 = -81*h. What is the least common multiple of 4 and h?
44
Suppose -o = -3*g - 1566, -o - 16*g + 5*g + 1650 = 0. What is the smallest common multiple of 132 and o?
1584
Let s be ((-3)/(-6))/(3/12). Let g be 68/8 + -3 - 7/14. Suppose -g*z + 37 = s. Calculate the least common multiple of z and 5.
35
Suppose 2*q + 5*h - 35 = 7*q, -5*h + 23 = -4*q. Calculate the common denominator of 41/60 and (-10*1/(q/(-5)))/1.
60
Suppose -2303 = -o + 683. Suppose -2922 = -7*u + o. What is the smallest common multiple of 12 and u?
2532
Suppose 47*x - 3557 = 44*x - f, -3569 = -3*x + 2*f. Let z = -1179 + x. Let v = 13 + -9. What is the least common multiple of z and v?
8
Let k = -55 + 80. What is the common denominator of -149/126 and (-10355)/(-684)*(-3 - (-77)/k)?
630
Let f(s) = s**2 - 13*s + 38. Let u be f(8). What is the smallest common multiple of 17 and u - (-7)/(42/30)?
51
Let z(a) = 2*a**3 - 193*a**2 - 90*a - 397. Calculate the smallest common multiple of 86 and z(97).
12126
Suppose -33448 = -34*q - 3*q. Let u = q - 784. Calculate the least common multiple of u and 156.
1560
Let k = -194 + 229. Let h(c) = 22*c - 259. What is the lowest common multiple of h(12) and k?
35
Suppose 8*n + 39660 - 40020 = 0. Calculate the least common multiple of 9 and n.
45
Let k be (5 + -4)*-2 + 4. Suppose k*i - 36 - 176 = 2*h, -3*h + 417 = 4*i. Calculate the least common multiple of i and 35.
105
Let k = -57406169/550 - -104375. Calculate the common denominator of 101/1100 and k.
1100
Let s = 226 + -97. Suppose -42 = 126*u - s*u. Suppose -14 = 12*p - u*p. Calculate the lowest common multiple of 8 and p.
56
Let v(z) = 2*z**3 - 31*z**2 - 2*z - 96. Calculate the smallest common multiple of v(16) and 400.
3200
Find the common denomi