2439/84. Find the common denominator of -53/108 and f.
756
Let v(a) = 4*a - 31 + 13 + 10 - 24. Calculate the least common multiple of 17 and v(9).
68
Let l = -53987095135/1218 - -44324383. Let v = l - 41615582/3045. Let h = -13653 - v. Find the common denominator of -11/40 and h.
40
Suppose 2*x - s - 17 = 0, 69*s - 66*s + 21 = 0. What is the lowest common multiple of 448 and x?
2240
Let t be 845/20 + ((-14)/8)/7. What is the common denominator of 77/50 and (t/16)/(-4*(-315)/(-784))?
150
Let f(s) = 14*s**2 + 2*s + 1. Let k be f(-1). Suppose -5*d - 4*b = -25, 2*d - 2*b - k = -3*b. Calculate the smallest common multiple of 9 and d.
9
Suppose -417 = -3*m - 3*v, 5*v + 42 + 187 = 2*m. Calculate the lowest common multiple of m and 1848.
1848
Let g(s) = 3*s**3 - s**2 + 3*s + 7. Let j(o) = -10*o**3 + 2*o**2 - 10*o - 20. Let c(a) = 8*g(a) + 3*j(a). What is the smallest common multiple of c(-1) and 11?
66
What is the common denominator of (6 - (-242)/198) + 7/(-3) and -47/1900?
17100
Let m = -7810 - -1522927/195. What is the common denominator of -7/69 and m?
4485
Suppose 0 = -13275*j + 13251*j + 3888. What is the lowest common multiple of j and 810?
810
Suppose 0*b + 56 = 2*b. Find the common denominator of (b/10)/(9/45) and 77/2.
2
Suppose 0 = -2*c - 17639 - 27641. Let n = c + 543509/24. What is the common denominator of n and 31/12?
24
Let m be 9/24*(1162 + -8). Let y = m - 440. Find the common denominator of 31/14 and y.
28
Let o be (56/(-35))/(14/1715). Find the common denominator of 143/18 and o/(-30)*(-15)/18.
18
What is the common denominator of 246/(-40)*(11075/(-1110) + 10) and -31/152?
5624
Suppose 3*r + 137 = -472. Let g = r - -120. Let m = -56 - g. Calculate the smallest common multiple of 15 and m.
135
Let p(d) = -2*d + 14. What is the smallest common multiple of -16 - -11 - (-1 - 6) and p(0)?
14
Let f(u) = -u**2 + 9. Let o(v) = v**2 - 4*v - 9. Let b be o(5). Let a be f(b). Calculate the lowest common multiple of 1*2*(a + 11) and 40.
40
Suppose 0 = -12*u + 46 + 62. Suppose 0 = -t - u*t + 100. Calculate the smallest common multiple of 20 and t.
20
Let c be (-4*(-4)/(-24))/(14/21). Calculate the common denominator of 32/87 and 160/(-160)*((-182)/(-24) - c).
348
Suppose 5*b - b + 2*o - 74 = 0, b - 20 = o. Suppose i = b*i - 954. Suppose 107 = 2*h + i. Calculate the smallest common multiple of h and 15.
135
Suppose -5*y - o + 110 = o, -3*o - 15 = 0. What is the common denominator of -29/86 and 3 - (-1 + (-404)/y + -2)?
258
Let d be -1 - (-49756)/(-33) - -3. Let c = d - -1506. Find the common denominator of (-136)/42 + (-2)/7 and c.
231
Find the common denominator of -47/3036 and 3230/120 + -24 + (1 - 8/6).
3036
What is the common denominator of (-21 + 23 - (-20302)/(-1449)) + 12 and -19/483?
1449
Let b(r) = -1. Let c(x) = 2*x**2 - 29*x + 93. Let a(d) = -6*b(d) + c(d). What is the least common multiple of 109 and a(10)?
981
Let c(a) = a**2 - 16*a + 19. Let b be c(16). Suppose 36*o = t + 31*o + 9, -t - 2*o + b = 0. Calculate the smallest common multiple of t and 11.
11
Find the common denominator of (-9)/12 - (-134)/(-120) and 184/168*4*(-3)/(-12).
105
Let i = -53 - -78. Suppose 2*y + i = 43. Suppose -y*k = -131 - 85. Calculate the least common multiple of 12 and k.
24
What is the common denominator of -14/55 and ((-89204)/(-7920))/29 + (-1)/9?
220
Let t be (-36)/27 - 3358/(-84). Let d = -37 + t. Calculate the common denominator of 11/33 - (-115)/(-48) and d.
112
Let l(r) = 83*r**2 + 111*r - 218. What is the least common multiple of 336 and l(2)?
336
Suppose -2*u - 216 = 2*u. Let l = -171 + 167. Find the common denominator of -18/11 and (110/u)/(l/(-12)).
99
Let k = 3087/11 + -92093/330. Let o = -270 - -627. What is the common denominator of ((-102)/o)/(8/86) and k?
210
Let r(i) be the third derivative of 8*i**5/15 - i**4/8 - i**3/6 - 15*i**2. Let b be r(7). Let z = 24717/16 - b. What is the common denominator of -67/32 and z?
32
Let f be 6/21 - 19/(-7). Let j = 5 - f. Calculate the lowest common multiple of (((-30)/24)/(4*40/(-256)))/(-1 + 3) and j.
2
Suppose 25*a + 86 = 32*a + 36*a. Let g be (2/3)/(3/(-36)). Calculate the smallest common multiple of (g/(-12))/((-1)/(-27)) and a.
18
Find the common denominator of -63/22 and (82/33)/(2176/(-51)).
704
Suppose 0 = -5*z - 2*h - 694 + 1955, 3*z - 2*h - 779 = 0. Calculate the smallest common multiple of 2040 and z.
2040
Let d be (-21754)/(-2184) - (-4)/14. Let n = d - 30/91. Let t = -10645/1782 - -112/81. What is the common denominator of n and t?
132
Let s be 166/6 - 17/(-51). Suppose 19*o + 756 = s*o. Calculate the lowest common multiple of o and 14.
84
What is the common denominator of 230/(-1656)*(-125)/(-80) and -143/576?
576
Let o = -330 + 333. Suppose -o*u + n + 82 = -106, -u = -n - 60. Calculate the least common multiple of u and 72.
576
Let t = -105696 + 2010578/19. Let p be 1891629/(-14364) + 2/(-7). Let b = p + t. Find the common denominator of 25/11 and b.
132
Let j(i) = -2*i**2 - 18*i + 12. Suppose 17*r = 22*r - 110. Suppose 0 = 3*y - 0*a - a + r, -18 = 2*y + a. Calculate the lowest common multiple of 18 and j(y).
252
Let y(u) = 9*u - 41. Let b be y(10). Suppose -b*c = -46*c - 21. Calculate the lowest common multiple of 4 and ((-6)/(-4) + -2)/(c/(-112)).
8
Let v = -1546171/274470 - 1/27447. Let k = -23044 - -1589971/69. What is the common denominator of k and v?
690
Let x(h) = 129*h - 6305. Calculate the lowest common multiple of 1 + 26/1 - -1 and x(49).
112
Let y = -348827/1220700 + 37/4069. What is the common denominator of y and -73/1800?
1800
Let h = 24 - 25. Find the common denominator of 16/45 and 228/(-360) - 6/h.
90
Let y = 9095 - 54439/6. Let u = 129709727/30 + -4324097. Let p = 2238/5 + u. Calculate the common denominator of y and p.
6
Let s be (-2*2/30)/(2/2004). Let a = s - -642/5. What is the common denominator of a and 61/40?
40
Let g = 41 - 36. Find the common denominator of 0 - -3 - (g + 29/(-15)) and 1965/(-1530) - 6/(-51).
30
Let l = 28677 + -1032463/36. Find the common denominator of l and -41/435.
5220
Suppose -6 = q, -4*d - 4*q - 338 = -334. Calculate the least common multiple of d and 96.
480
Let a = -130716/469 - -1949/7. What is the common denominator of a and -20/9?
603
Let g = -26/733 + 102667/21990. Suppose 4*o = -s - 575, -o = -3*s + 132 + 15. What is the common denominator of g and (-2)/(-5)*850/o?
180
Suppose -15*k + 21264 = k. Let d = -21275/16 + k. Find the common denominator of d and 127/36.
144
Calculate the common denominator of 4/34 - 4977/53720 and 81/320.
320
Let r be 10/(-6 + 5/1). Find the common denominator of 30/(-225) + 23/r and -10/33.
330
What is the common denominator of 3/7 + (1307334/(-224028))/17 and -19/141?
35814
Let h = -17319 + 1835879/106. Let v = -41261/2 - -20585. Calculate the common denominator of h and v.
106
Find the common denominator of 103/1518 and (-14)/21*3 - (-7816)/4416.
6072
Let o(i) be the first derivative of i**2/2 + 11*i + 53. Let s(m) = 2*m**2 - 17*m - 2. Let g be s(9). What is the smallest common multiple of 26 and o(g)?
234
Suppose -44*j - 8 = -46*j. Suppose -2*x + 456 = j*x. What is the least common multiple of 500/14 - (-3 - x/(-28)) and 9?
36
Let d = 7/135 - 787/135. Let l be ((-1)/(-2))/(15/(-44405)). Let v = l + 1487. What is the common denominator of d and v?
18
Let l(q) = 130*q - 8270. Let u(n) = -255*n**3 + n**2 + 2*n + 1. Calculate the least common multiple of u(-1) and l(64).
2550
Let m = -15039/3910 + 297/85. Calculate the common denominator of m and 111/460.
460
Let y be (0/(-10 + 0))/(-1). Let t be 0/(-3*(-3)/9). Suppose t = -y*i - i + 6. Calculate the least common multiple of i and 22.
66
What is the smallest common multiple of 9 - 434/(-21) - 2/(-6) and 1250?
3750
Let s = 4317 + -793. Calculate the smallest common multiple of 14 and s.
24668
Suppose -n + 4*f + 1 = -15, 3*n - f = 4. Suppose -4*r = 5*q - n*r - 658, 4*q - r = 518. What is the least common multiple of 2 and q?
130
Let j = -9988 - -139771/14. Calculate the common denominator of j and -33/1292.
9044
Let n = -23 + 25. Suppose -141 = -n*r - 3*q, r = -r - q + 131. What is the common denominator of 31/10 and 7/r*(0 + 15)?
30
Let k(x) = 654*x - 20 + 8 - 652*x - 2*x**3 - 14*x**2 + 4*x**3. Calculate the lowest common multiple of 2 and k(7).
2
