mmon denominator of c and -49/195.
390
Let x = -4752/5 - -958. Calculate the common denominator of x and 1/2 - (-549)/(-27).
30
Let d(c) = -c**3 - 4*c**2 + 3*c - 11. Let k be d(-5). What is the lowest common multiple of 39 and (1/1)/(k/(-28 - -1))?
351
Let q = -45299/10 - -4524. Let z(p) = -p**3 + 16*p**2 - 64*p. Let d(j) = 12*j - 111. Let n be d(10). Calculate the common denominator of q and z(n).
10
Let m(h) = 8*h - 28 + 0*h**3 + 5*h**2 + 22*h**2 + 4*h**3 - 3*h**3. Calculate the lowest common multiple of 4 and m(-25).
2044
Let r = 11708 + -257525/22. What is the common denominator of -51/22 and r?
22
What is the common denominator of (-108)/(-9) + 2540/(-400) and 19/1784?
8920
Let j be 10/25 + 107154/(-87440). Let a = j + 1/2186. Find the common denominator of a and -41/6.
120
Let f = 62969 - 37379. What is the smallest common multiple of f and 8?
102360
Let v = 887/4 + -238. Suppose 0 = 42*s - 31*s + 451. Calculate the common denominator of v and ((-12)/(-8))/((-9)/s).
12
Suppose 3*w + 642 = k, 10 = 3*w + 4. Suppose 0 = 3*g - 12, 2*y + 38 = -y - g. What is the smallest common multiple of y/4*k/(-126) and 24?
72
Suppose -3*c + 7*c = -x + 132, -255 = -2*x - 5*c. Calculate the least common multiple of 320 and x.
960
Suppose 35 = 10*x - 95. Let m(v) = v**2 - 9*v - 23. Let n be m(12). Suppose -n*f - 8 = -34. Calculate the lowest common multiple of f and x.
26
Let z(o) = -o**3 - 11*o**2 + 14*o - 11. Let h be z(-12). Let u = -41 - h. What is the common denominator of u/60*(0 + 63) and 31/20?
20
Let d(c) = -45*c**3 - c**2 - 4*c - 4. Calculate the least common multiple of 40 and d(-2).
360
Suppose o - 7*o + 228 = 0. Suppose 30*q - o*q = -112. Calculate the least common multiple of q and 22.
154
Let u = 3 + 0. Find the common denominator of 107/48 and u - (3535/882 + 9/(-21)).
1008
Let i(x) be the third derivative of x**5/15 - x**4/12 + x**3/3 + 44*x**2. Let g be i(2). What is the least common multiple of 8/(-10)*(-735)/g and 3?
42
What is the common denominator of ((-2)/(-5))/(((-510)/(-425))/((-97)/24)) and 35/152?
1368
Let i be (-10)/(-35) - 180/(-7). Suppose 0 = 5*c, -5*w - c - 64 = i. What is the common denominator of (-1595)/(-150) - 12/w and 99/8?
40
Suppose 4*m + 2526 = -5*c + 7201, 0 = 4*c - m - 3761. Calculate the smallest common multiple of c and 2817.
2817
Let t = 68501 + -114054151/1665. Calculate the common denominator of 123/740 and t.
6660
Let w(z) = -z**3 - 47*z**2 + 7*z + 55. Let m be w(-20). Let u = -587711/54 - m. What is the common denominator of 44/57 and u?
1026
Let w be 6/8 - (-4049)/(-1080). Let l = -193/54 - w. Let z = 6391 + -255597/40. Calculate the common denominator of z and l.
40
Let p = 2/9691 - -610513/96910. Let z be (2 + -1)*-1 + 2. What is the common denominator of p and z + ((-208)/(-14))/2?
70
Let x = -1021 + 1004. Let h be (-372)/8 - (-2)/(-1). Let t = h - x. Find the common denominator of -151/12 and t.
12
Suppose -1699 = -78*y + 860 - 687. Calculate the least common multiple of 1182 and y.
4728
Suppose 108 = 239*t - 257*t. Let z(c) = c**3 + 3*c**2 - 6*c + 2. Let s be z(-5). What is the least common multiple of t/(-9) + (-2112)/s and 10?
590
What is the common denominator of (4/528)/(1 + (24565/1450)/(-17)) and 70/171?
3762
What is the common denominator of (3/9)/((-128)/474) and -9 + 3 + (0 - 37/2)?
64
Suppose 577 - 297 = 4*c. Suppose 6*y - 134 - 76 = 0. What is the lowest common multiple of c and y?
70
Suppose -11*t = -12*t + 302. Let g = -293 + t. Let j = 20 - 12. What is the smallest common multiple of j and g?
72
Suppose 1119 = -13*s + 1704. What is the least common multiple of 1233 and s?
6165
Let t(n) = 40*n**2 - 951*n + 3788. What is the smallest common multiple of t(4) and 104?
624
Let n = -18693545/176 - -106213. What is the common denominator of -41/1936 and n?
1936
Let j = 4004965/24 + -166869. What is the common denominator of (-636)/(-1215) + 4/(-10) and j?
648
Suppose 9*o = 541 - 2395. Let j = -192 - o. What is the lowest common multiple of j and (-87)/(-9) + (-1)/(-3)?
70
Let i = -16 - -58. Let o be 93/2*(-14)/(-21). Let b = -15 + o. Calculate the smallest common multiple of i and b.
336
Let m(c) = 25*c**2 - 141*c - 224. Let n(a) = 2*a**2 + 9*a + 2. Calculate the lowest common multiple of m(7) and n(-6).
140
Suppose 0 = 5*y - 8903 + 25613. Let z = -25401 - y. Let a = z - -397193/18. Calculate the common denominator of -101/18 and a.
18
Let r be (-15508775994)/(-18)*(-27)/3. Let x = r + 1320215572885929/170254. Let u = -1/12161 - x. Calculate the common denominator of -11/6 and u.
42
Suppose -36*k + 212912 = 25*k + 32962. What is the least common multiple of k and 14?
20650
Let c be 2/10 - (-451008)/(-2254240). Let o = c + -873503/211335. Calculate the common denominator of o and 37/54.
270
Suppose 4*g = 2*m - 293 + 297, -9*m = 3*g - 87. Calculate the least common multiple of m and 176.
176
Suppose -2*u + 5*r = 4 - 8, 0 = 3*u + 2*r - 6. Let x be 9 - 9 - (95239/(-18732) + u). Let j = x + -3/3122. What is the common denominator of 41/24 and j?
24
Suppose 7*f - 16*f = -9. Let l be f - (-4)/(2/2). Suppose 0 = 4*q + 2*v - 18, -l*q - v = -3*v - 36. What is the smallest common multiple of 8 and q?
24
Suppose 5*m = -3*q + 3*m + 39, -2*q - 2*m = -26. Let y be (q - 1)*23/69. Calculate the common denominator of 149/78 and ((-10)/(-16))/((18/y)/9).
156
Let z = 15088837/258 + -58484. What is the common denominator of -35/86 and z?
258
Let z(r) = 3*r**3 - 2*r**2 + 9*r - 38. Calculate the smallest common multiple of z(3) and 4.
52
Let w(h) = -h**3 - 12*h**2 + 15. Let k be w(-9). Let t = k - -248. Calculate the smallest common multiple of t and (-2)/(-3) - (-28)/3.
20
Let s(m) = m - 10. Let d be s(-7). Let x = 46 + d. What is the common denominator of (3/(3/x))/15 and -77/18?
90
Let n = 14121 + -11014387/780. Find the common denominator of 25/8 and n.
1560
Let y = 37 + -34. Suppose y*q - 12 = -3*o, 5*o + 10 = -4*q + 21. Suppose 5*j = q*j - 12. Calculate the least common multiple of 6 and j.
6
Suppose -2*i + 343 = -173. Find the common denominator of -139/54 and (-559)/i - (-1 - 5).
54
Let r(h) = -h**2 + 13*h + 276. Let f(s) = -7*s. Suppose 7*x + 24 = 3*x - 4*m, 3*x = 5*m + 14. Calculate the least common multiple of r(24) and f(x).
84
Let u be (1*-1)/(-2 - -1). Let a(l) = -4290*l + 8583*l + 122*l**2 - 4297*l. What is the smallest common multiple of a(u) and 4?
236
Suppose 2*k + 14 = 3*w + w, -9 = k - 3*w. Calculate the smallest common multiple of 15 and (k/(-2))/(-4 + 34/8).
30
Let z = 5981/187660 - 1/18766. What is the common denominator of z and 17/66?
660
Suppose -k - 3 = 0, -3*b + 2*k + 78 = -78. Suppose 5*j - 3*h - 412 = 0, -4*j + 153 = 4*h - 151. Calculate the smallest common multiple of j and b.
400
Suppose -63*o = 262 - 829. Let r(b) = b**3 - 11*b**2 + 2*b + 8. Let z be r(10). What is the smallest common multiple of o and 0 - (0 - z/(-4))?
18
Suppose 82*m - 8910 = 243*m - 431*m. What is the least common multiple of (17 - 0/1) + 1 and m?
198
Suppose -t = 3*q - 23, -4*q - 5*t = -31 - 7. Let k = -97 - -272. What is the lowest common multiple of (-25)/k + 22/q and 11?
33
Let l = 2/19441 + 1652441/427702. Suppose 0 = -v - 3*n + 26408, -v + 9043 = 5*n - 17355. Let g = 845449/32 - v. Find the common denominator of l and g.
352
Suppose 0 = p + 7 - 8. Suppose 4*x - 318 = 2*k + 26, 0 = -5*x - 2*k + 421. Let i = x + -56. Calculate the least common multiple of i and p.
29
Let p = 96 - 94. Calculate the common denominator of 69/16 and 5085/(-5670) + 1*(p + -1).
1008
Let l = -421 - -426. Let m(d) = d**3 - 22*d**2 - 21*d + 37. What is the least common multiple of l and m(23)?
415
Suppose -5*m - 90 = 5*g, 0*m = -m. Find the common denominator of (-549)/g*1/(-7) and (-273)/9*27/180.
140
Let g(j) = 3*j**3 + 4*j**2 - 8. Let q be g(2). Suppose -q = -89*h + 73*h. What is the least common multiple of h and 26?
26
Let s = -6 + 9. Suppose -781*u = -773*u - 768. Suppose 0 = 5*m + 2*p - 3*p - 166, -3*m + u = s*p. What is the least common multiple of 39 and m?
429
Suppose -5*w + 5 = -15. Suppose 0 = 2*o - f + 15, 2*o - 9 = 3*f - 14. Let q(d) = -4*d**2 - 39*d + 18. Calculate the smallest common multiple of w and q(o).
8
Let d be (-12 + -3)*1*(-4)/10. Find the common denominator of ((-89)/d)/(12/(-36)) and 93/4.
4
Suppose 133*q 