. Calculate the common denominator of 53/4284 and c.
4284
Let u = -529768 - -1108274683/2092. Find the common denominator of -81/8 and u.
4184
Let a(p) = p**3 + 12*p**2 - 50*p + 6. Let i be a(3). Let f(b) = -b - 5. Let r be f(-6). What is the smallest common multiple of 3 and (3/i)/(r/(-147))?
147
Let r(p) = -p**2 - 3*p + 7. Let m be r(0). What is the common denominator of 29/102 and (m + -6 - 86)/21?
714
Let o be -3 + 11/4 - (-19575)/(-20). Let k = 2/391 - -35577/782. Find the common denominator of o/(-26) + 2 + (-140)/65 and k.
2
Find the common denominator of -151/18 and 81*(6/(-39) + 0)*2/(-56).
1638
Suppose 96282 = 1899*p - 1890*p. Calculate the least common multiple of 42 and p.
74886
Suppose 0 = 5*z - 2*v + 53562, 0 = 5*v + 130 - 135. Let u = -309011177/16 - -19323914. Let c = z + u. What is the common denominator of -115/28 and c?
112
Find the common denominator of (-11)/((-8789)/94) - (-1167)/340 and -47/10.
20
Suppose -210*t - 873240 = -593*t. What is the lowest common multiple of 2090 and t?
25080
Let k = 4035 + -4031. Suppose -28 = 2*b - 4*b. Calculate the smallest common multiple of k and b.
28
Suppose -412 = -n - 392. Calculate the least common multiple of 308 and n.
1540
Let d = -634 + 1321/2. What is the common denominator of d and (8/(-4))/((-36)/(-639)*(-7620)/40)?
762
Let t be (-1 - 28/(-16))*(-80)/(-5). Suppose -2*y - 3*y = -15. Suppose 3*w - 4*h = -10, 5*w + y*h = -t + 34. Calculate the smallest common multiple of w and 22.
22
Suppose -s - 471 = 739. What is the common denominator of ((-9)/225)/(8/s) and -47/16?
80
Let l be ((-4)/2 - -4) + -5. What is the common denominator of (-78)/((80/l)/4) and 8768/(-7672) - (-1298)/(-28)?
10
Let a(x) = 51*x**2 + 3*x + 4. Let i be 7 + 1 - (-24 + 34). What is the lowest common multiple of 2 and a(i)?
202
Let x = 40781/6 + -10643743/1566. What is the common denominator of x and 51/232?
6264
Suppose -3*w + 522 = -5*d - 0*d, 2*w = -2*d - 196. Let h = -2486/5 - -293113/590. Find the common denominator of h and (1/(-4))/((-27)/d).
1062
Suppose 238*i - 264*i + 156 = 0. What is the lowest common multiple of 1212 and i?
1212
Let d = 21390 - 21269. Calculate the smallest common multiple of d and 1254.
13794
Let i = -2894137/330 + 43849/5. What is the common denominator of -61/24 and i?
1320
Let h = -377617/286 + 17100/13. Let j be (-644)/(-69) + (-2)/(-3). Find the common denominator of h and (2/j)/(12/90).
22
Let j be (-2)/3*(-11034)/(-24). Let t = -308 - j. Calculate the common denominator of 7/60 and t.
60
Find the common denominator of (-40)/5 + 50/(-60) and -151/120.
120
Let t = 7/153 + 4687/1224. Let r be (-1)/(-3) - (-254)/90. Let v = r + -2801/360. Find the common denominator of v and t.
8
Let l be (((-266001)/14)/(-3))/1. Let m be (1/(-5))/(-1) - 94887/(-15). Let s = l - m. What is the common denominator of -23/4 and s?
28
Suppose -m - 75 = -5*m + q, -2*q = -3*m + 60. Find the common denominator of -2*(-303)/m*(-6)/(-28) and -55/122.
854
What is the least common multiple of (-8)/18 - 897708/(-756) and 1?
1187
Let r(x) = 8*x - 168. Let i be r(18). Calculate the common denominator of (-142)/(-36) + i/(-6) and 58/21.
126
Let d(b) = -32*b - 221. Let z(j) = -j**3 + 9*j**2 - 5*j + 12. Let p be z(7). Suppose 0 = -4*l + p + 21. Calculate the smallest common multiple of d(-7) and l.
24
Let r = 116263/15 - 7746. Let x(n) = -7*n**2 - 40*n - 4. Let q be x(-6). What is the common denominator of ((-2)/20)/(-5 + (-56)/q) and r?
15
Calculate the smallest common multiple of -6 + 56 - (-23 - -13) and 680.
2040
Let l = -20819/1428 + 227/17. Calculate the common denominator of -59/84 and l.
84
Suppose 632 = 4*j - m + 4*m, j = 4*m + 139. Calculate the common denominator of j/10 + 1 - 0/1 and 31/3.
6
Let u = 104 - 93. Suppose -3*g + u = -a - 80, -3*a + 47 = g. Calculate the common denominator of (0 - -42*(-4)/g)*-6 and -14/9.
18
Find the common denominator of (744/44)/((-4)/(-1)) and (-132)/(-220) - (-626)/140.
154
Suppose -1061 = 283*l - 3891. Calculate the smallest common multiple of 2330 and l.
2330
Find the common denominator of (-8390)/(-768) + (1 + -10 - 2) and -67/96.
384
Let k = 347 + -344. Calculate the common denominator of 1/40 and ((-585)/52 + 12)*(-5)/k.
40
Let x(b) = -b**3 + 15*b**2 - 40*b + 30. Let w be x(13). Let m = w + 154. What is the least common multiple of m and (-1)/(-1) + -1 + 8?
8
Let h = -8297/5 - -1648. Find the common denominator of h and 107/24.
120
Calculate the common denominator of -53/204 and (2140/90 + -4)/(-16).
1224
Let q = 18787 + -3795073/202. Find the common denominator of q and (-4)/10 - (-878)/220.
2222
What is the common denominator of -2 + (-1)/(-21) + -2 and (226/1440)/(6/7*252/540)?
2016
Let k = -2234 + 2282. Calculate the least common multiple of k and 30.
240
Suppose -q = 3, -5*f + 8*q - 3*q = -195. Suppose 31*i - 37*i = -f. Suppose 50 = 5*j - 4*n - 44, j - n = 19. What is the least common multiple of i and j?
18
Calculate the common denominator of -93/70 and (-21)/9 + 404/(-84).
70
Suppose -3 = -o - 0. Suppose 1342 = 5*h + 3*z, -2*h + 2*z = -o*h + 267. Let a = 5407/20 - h. Calculate the common denominator of a and 47/10.
20
Let g = -840 + 6673/8. Find the common denominator of 43/376 and g.
376
Let x(j) = -385*j - 1922. Let c be x(-5). Let f = 5 + -3. Suppose -c*v + 57 = -0*v - 4*t, -f*v = 5*t - 15. Calculate the lowest common multiple of v and 33.
165
Let t(q) be the first derivative of -9 + 1/2*q**2 - q. What is the smallest common multiple of t(7) and 17?
102
Let d = 3309 + -2685. Calculate the lowest common multiple of 14 and d.
4368
Let z(t) = 2*t**2 + 3*t + 1. Let a be 1 - -2*(-9)/6. Let n be z(a). What is the common denominator of -77/18 and -25*(n/6 + 0)?
18
Let z = 2021/108 + 13/108. Calculate the common denominator of z and 41/1918.
5754
Let s be 5 + -24 + 9 - -6. Suppose 4*q - 125 = 3*p + 11, -p + 2*q = 44. What is the lowest common multiple of s/(p/(-9))*-12 and 14?
126
What is the common denominator of (-26937)/29200 + 12/10 and 17/160?
800
Let t = -512043 + 358497. Let u = 30401971/198 + t. Find the common denominator of u and -115/18.
198
Let l(d) = 59*d - 936. Let s be l(24). Find the common denominator of ((-2)/8)/((-14)/(-436)) and 68/(-6)*(-504)/s.
70
Let k = -95 - -90. Find the common denominator of k/(-30)*-7 + -6 and -151/12.
12
Suppose 0 = -3*i + 97 - 28. Let u = i - 22. Suppose 3*l - 20 = -5*k, 3*l - 5*k - 10 = -0*l. What is the lowest common multiple of l and u?
5
Suppose 0 = -121*l + 114*l - 8099. Let n = l + 11503/10. Let h = -14274/1981 + -5/566. What is the common denominator of n and h?
70
Suppose -3*m - 8 = -3*c + 2*m, c + 2*m = 10. Calculate the least common multiple of (584/8)/(22/44) and c.
438
Let i = 242 + -206. Suppose i = d + 29. Calculate the least common multiple of 3 and d.
21
Let c(r) = -11*r**2 + 3*r - 2. Let b(i) = -2*i**2 + 2*i. Let n(g) = 6*b(g) - c(g). What is the smallest common multiple of n(8) and 11?
110
Let o(t) be the third derivative of -t**6/120 + 7*t**5/60 - t**4/6 + 2*t**3/3 + 8*t**2. Let s = 81 + -71. What is the lowest common multiple of o(6) and s?
80
Let w be (4/72)/((-55029)/(-27514) + -2). Let j = w + -1531. Find the common denominator of j and 71/156.
468
Let t(v) = -v**2 + 30*v - 30. Let s(o) = 2*o**2 - 9*o + 37. Let d be s(3). Suppose -3*k + 13 + 41 = 0. What is the smallest common multiple of t(d) and k?
234
Let q(x) = -x**2 + 12*x - 33. Let g(d) = d**2 - 13*d + 9. Let n be g(13). Let f be q(n). What is the common denominator of 15/22 and f/4*(5 + 124/(-48))?
88
Suppose -344 = 6*r + 4936. What is the common denominator of 1/(-2) + -4 + 4 and 5480/r - 2*-1?
22
Calculate the lowest common multiple of 390 and (-41 + 51)*2/4 - -8.
390
Let r(c) = -c**3 - 91*c**2 - 10*c - 706. Calculate the least common multiple of 170 and r(-91).
1020
Suppose 5*w = -300*j + 299*j - 14, -j + 2*w + 14 = 0. Calculate the lowest common multiple of j and 358.
1074
Let a(l) = -l**2 - l + 6. Let k be a(-7). Let u = k - -24. What is the common denominator of (2/u)/((-99)/(-2727)) and -71/2?
22
Suppose 6*d - 65 = 703. Suppose 2*x - 82 = -3*m, 4*x - 5*m - d = 14. Find the common denominator of x/32*-10 - -2 and -41/6.
24
Let c(n) = -n**2 - 75*n + 1624. Calculate the least common multiple of c(-82) and 57.
19950
Let f be -