 19/24?
312
What is the common denominator of -8*(0 + -1)/22 and ((-13)/(-5))/(1/(-3))?
55
Let p = -216147452/825 + 261997. Find the common denominator of 22/7 and p.
5775
Let x = -28973/16 - -1809. What is the common denominator of 77/54 and x?
432
Let x = -5489/5 + 38354/35. What is the common denominator of -67/42 and x?
210
What is the lowest common multiple of 123 and 192/72*27/6?
492
Let m(g) = 3*g**2 - 2*g + 2. Let u be m(2). Let o = 15 - u. Let d = -3 + o. Calculate the smallest common multiple of 18 and d.
18
Suppose 54*t = -404 + 2672. What is the smallest common multiple of t and 276?
1932
Suppose 10*n - 13*n + 56 = 5*m, 2*n = 5*m - 46. Suppose k + k + 36 = 2*z, 5*k = 3*z - 54. What is the lowest common multiple of z and m?
90
What is the common denominator of (-321)/1080 - 12/15 and -143/48?
144
Suppose 0 = -4*m + 2*m + 12. Let z be m/21 - (-16944)/(-14). What is the common denominator of z/(-24)*(-14)/(-35) and 93/20?
60
Suppose -3*s + 12 = s. Find the common denominator of ((-32)/18)/(s/(-6)) and 4/18 - (-6187)/2898.
126
Let k = -2075 + 37271/18. Let t(h) = 17*h**2 + 2*h - 2. Let d be t(2). Find the common denominator of d/(-6) + 2/(-4) and k.
18
Let c be (-8)/(-52) - (-5588)/(-1170). Let m = -38/9 - c. Let i = m - -6. What is the common denominator of i and 3/8?
40
Suppose -4*p - 113 = 79. Calculate the common denominator of 11/50 and (3 + -5)*9/p*30.
100
Let z be 10/(-35) + 636/21. Suppose 0 = 4*q - z - 2. Calculate the lowest common multiple of 48 and q.
48
Let b = -4675 - -112253/24. Find the common denominator of b and 38/15.
120
Suppose -3*g = -5*n - 274, -5*g - 5*n + 314 = -2*g. What is the smallest common multiple of (-6)/(-45)*9*100/15 and g?
392
Let f = -915 - -7341/8. Find the common denominator of -43/47 and f.
376
Let a(t) = 5*t. Let y be a(2). Let x(i) = i - 3. Let o be x(y). Find the common denominator of o/(21/10)*12 and -38/5.
5
Calculate the common denominator of 1796/(-160) + 4/(-10) and 1260/(-10)*9/(-24)*4/6.
8
Let p(h) = -9*h + 4. Let o(j) = 8*j - 4. Let c(t) = -7*o(t) - 6*p(t). Calculate the smallest common multiple of c(-5) and (204/(-16))/(-1) + 6/(-8).
84
What is the common denominator of 2/3 and ((-50)/42)/5*(-148)/10?
21
Suppose -20*j + 442 = -18. Calculate the least common multiple of j and 25.
575
Let h(f) = -f**2 - 12*f + 10. Let a be h(-13). Let k be ((-12)/8)/(a/4). Suppose -k*y + 14 = -y. What is the common denominator of -25/2 and y?
2
Let q = 5863/1064 - 18/133. Suppose -386 = -25*c - 136. What is the common denominator of (16 + 1)/(c/(-140)*-12) and q?
24
Find the common denominator of -79/84 and 1/(-2) - (8 + (-3177)/324).
252
Suppose 2*b + 12 = 4*w, -9*w + 8*w + 5*b - 6 = 0. What is the smallest common multiple of -3*((-10)/3 + 0) and w?
20
Let b = 2792 + -2774. What is the smallest common multiple of 228 and b?
684
Suppose -22*x + 7*x + 1050 = 0. Let d = x + -42. Calculate the lowest common multiple of 5 and d.
140
Suppose 3*z - 5*z - 132 = -4*h, -2*z = 4*h - 148. Calculate the least common multiple of 12 and (-1)/6 - (-3 + h/(-30)).
12
Suppose -h + 2*v + v + 9 = 0, -2*h + 12 = -3*v. Suppose -2 - 4 = -h*i. Suppose -4 = -0*w - i*w. What is the lowest common multiple of 10 and w?
10
Let i(m) = -m**3 + 32*m**2 + 2*m - 57. What is the smallest common multiple of i(32) and 87?
609
Suppose -1 = r + 3. Find the common denominator of (54/r)/(5/(-2)) and 2 - 83/(-12) - (-495)/396.
30
Let v(l) = -4*l**3 - 16*l**2 + 18*l + 18. Let a(f) = f**3 + f**2 - f. Let n(b) = -5*a(b) - v(b). What is the least common multiple of n(9) and 3?
27
Suppose -4*y - 38 = j - 171, -y - 360 = -3*j. Calculate the smallest common multiple of j and 33.
363
Suppose 4*o = -47*j + 48*j - 44, -j + 32 = 2*o. Calculate the smallest common multiple of j and 174.
1044
Let p = 821 + -2492/3. What is the common denominator of p and ((-8)/(-12))/(3/(-414)*-16)?
12
Suppose -7*p + 11*p = -8. Find the common denominator of 53/p*4/22 and 67/9.
99
Let v be 57/6 + -3 - 3/(-6). Suppose y - v*y + 126 = 0. Calculate the least common multiple of 39 and y.
273
Let m = 1/42 + -137/21. Let s = 28/33 - -718/165. Let r = 107/20 - s. Find the common denominator of m and r.
20
Let j = 33 - 21. Suppose 0 = h + 4*s - 15, 0*s = -h + 4*s - 9. Suppose -5*n + f + 114 = -3*f, h*n - 71 = 5*f. What is the smallest common multiple of j and n?
132
Calculate the common denominator of 117/160 and ((-75)/(-48))/(9/(243/36)).
320
Suppose 3*b - 2 = 22. Let s(n) = 48*n**2 + 2*n - 1. Let a be s(1). Suppose 0 = 3*y - 11 - a. What is the lowest common multiple of y and b?
40
Let i be (2/(-2))/((-21)/(-6) - 3). Find the common denominator of i/(-8) - 796/(-336) and -68/21.
21
Calculate the lowest common multiple of -4*(-3 + 76/(-8)) and 5.
50
Suppose -138 = -5*b + 4*z + 255, 0 = -2*b - 2*z + 150. What is the least common multiple of b and 99?
693
Let j = -7996/2117 - -32977847/1380284. Let h = j + 22/163. Calculate the common denominator of h and -89/14.
28
Suppose 10*c + 25*c - 70 = 0. What is the smallest common multiple of c and 74?
74
Suppose 0 = 5*k - 10*k + 25, 4*k = s - 45. What is the least common multiple of s and 3?
195
Let m(w) = -9*w - 684. Calculate the lowest common multiple of m(-80) and 9.
36
Let m = -4 + 10. Suppose -m = 5*p - 3*p. Find the common denominator of -71/8 and p - 17*(-2)/11.
88
Let l = -53187/10 - -5314. Calculate the common denominator of l and -54/19.
190
Suppose -3*s = -13 - 11. Let f(l) be the first derivative of -l**3/3 + 4*l**2 + 6*l + 1. Calculate the smallest common multiple of f(s) and 10.
30
Suppose -24*g - g = -150. Calculate the smallest common multiple of g and 2.
6
Let p be 8/3*(-45 + 0). Find the common denominator of 35/9 and 1004/p + 0 - -4.
90
Let q = 4637 - 537895/116. Find the common denominator of q and -45/7.
812
Let u = -1136870473/1716 + 662512. Find the common denominator of u and -17/2.
1716
Let d = 0 + 2. Suppose -k + 1 = -4*i, k + k - 4*i + d = 0. Find the common denominator of -1 + k + 267/6 and -31/12.
12
Let l = 685 - 508. What is the least common multiple of l and 6?
354
Calculate the common denominator of ((-22)/(-6) + -3)*975/(-3484) and 39/2.
134
Let s = 1767 - 10745/6. Suppose 5*c - 5*q = 100, 57 = 3*c - q - 7. Calculate the common denominator of ((-3)/((-12)/(-76)))/c and s.
66
Let v = -144 + 150. Let u(d) = -d - 4. What is the smallest common multiple of u(-6) and v?
6
Suppose 2*g - 7*g = 3860. Let i = 8516 - g. Let a = -557219/60 + i. Calculate the common denominator of 35/12 and a.
60
Suppose 3*c - k - 7 = 0, 2*c = -k - k + 10. Suppose -4*p = -2*p - 34. Calculate the least common multiple of c and p.
51
Let r = 49/10 - 389/80. What is the common denominator of r and -13/40?
80
Let r(j) = -j - 4. Let l be r(-8). Let w(v) = v**2 - 5*v + 9. Calculate the smallest common multiple of 4 and w(l).
20
Suppose 3*g + y - 11 = 6*y, 0 = 3*g - 2*y - 26. What is the common denominator of g/48 + 29/12 and 63/2?
6
Let q = -15/113 + 8987/452. Suppose 4*o + o + 30 = 0. What is the common denominator of o/(-18) + 78/4 and q?
12
Let f = 1 + 4. Suppose -g + 4*q = -8, -f*g - 2*q + 23 = -5*q. Suppose -2*w = 3*w - 50. Calculate the lowest common multiple of w and g.
20
Let h be (576/44)/(1/(-222)). Let c = h + 2909. Let l = -3843/212 - 33/53. Find the common denominator of l and c.
44
Let f(x) = -2*x - 6. Let h be f(-5). Calculate the smallest common multiple of 6 and h - 2 - (11 + -23).
42
Let c be 21334/(-60) - (-6 + (-80)/(-15)). Let f = 350 + c. What is the common denominator of f and -15/98?
490
Let z = 305 - 173. Calculate the smallest common multiple of 176 and z.
528
Calculate the common denominator of 59/8 and ((-1590)/400)/(-2 + (-8)/5).
48
Let d be ((-12)/(-15))/(-2*2/20). What is the least common multiple of ((-108)/(-30))/(d/(-30)) and 24?
216
Suppose 13 - 1 = 4*i. Find the common denominator of -53/12 and ((-4)/10*i)/(28/161).
60
Suppose 5*y - f + 324 = 0, 3*f = 1 + 11. Let x = y + 86. Calculate the least common multiple of x and 84.
924
Let c be ((-80)/28)/2*-28. Suppose -29*d + 31*d = c. Calculate the least common multiple of d and 8.
40
What is the common denominator of (1/6)/(-1) + 1001/(-1287) and 101/234?
234
Let h be 22*(2/4 - 0). Let a = -4 + h. What is the least common multiple of a and (-43)/(-4) + (