Let s = -271143/14 - -19359. Find the common denominator of ((-28)/(-20))/((-24)/(-45)) and s.
56
What is the least common multiple of (-92)/(-16) - (-2)/8 and (4/16*6)/((-12)/(-8))?
6
What is the common denominator of -63/8 and (-470)/(-24) - 320/40?
24
What is the common denominator of 6/14 - (-470)/504 and 43/68?
612
Let o = -4149017/88 + 47149. What is the common denominator of 41/44 and o?
88
Let y be 8797/(-252) - (-2)/(-7). Let u = -184/9 - y. What is the common denominator of u and (-14)/91 - -3351*(-9)/(-2106)?
12
Let r = 2167991/1125 + -2874/125. Let w = r - 1910. Let s = 1961 - 11849/6. Find the common denominator of s and w.
18
Suppose 0 = -k + 3 + 7. Let a = 1 - -2. What is the lowest common multiple of k and a?
30
Let x = -20389/6 - -3417. Calculate the common denominator of 19/1360 and x.
4080
What is the common denominator of 40/37 and (-3 - -9)*(122/30 - 3)?
185
Let j(g) = -g**2 + 13*g + 2. Let m = 0 + 13. Suppose -5*h - 2*u = 2*u - 3, 18 = 3*h - 3*u. Calculate the lowest common multiple of h and j(m).
6
Let g(d) = 8*d**2 + 3*d - 5. Let j be g(7). Let u = j - -787. Let h = 4723/4 - u. Calculate the common denominator of 97/20 and h.
20
Suppose -x + 71 = -2*x - 3*p, -3*x + 3*p - 165 = 0. Let d = x + 968. Calculate the common denominator of ((-2)/6)/(30/d) and 107/22.
110
Suppose -4*u - 232 = -3*w, 3*w + 2*u - 250 + 24 = 0. Let s = w + -73. Calculate the least common multiple of 7 and s.
21
Let x be 232025/(-5405)*1/26. Let c = x + -3/1081. Find the common denominator of c and -13/6.
78
Let r(z) = z**3 + 5*z**2 - z - 2. What is the smallest common multiple of r(-5) and 12?
12
Let t(j) = 11*j + 18. Let q be t(6). What is the common denominator of 4/18*8001/q and -63/4?
12
Suppose 2*h = -t + 8, -h = -t - 6 - 1. What is the smallest common multiple of (-4)/((t/6)/((-6)/(-9))) and 36?
72
Let z be 1 - -5 - (2 + -1). Suppose 2*s - 195 = 3*o + 20, z*o = -4*s - 329. What is the lowest common multiple of 14 and o/(-9) + (-1)/(-3)?
56
Let g = 12237725/173761 + 2/24823. Let x be (284/154)/(72/(-2826)). Let w = g + x. Calculate the common denominator of 103/22 and w.
22
What is the common denominator of ((-1908)/(-210) + -7)/(6/10) and 2 - (-3 + (-170)/(-66))?
231
Suppose -31 = 2*m - 4*o - 3, 35 = -5*m + 3*o. Suppose 106 + 374 = 3*j. Calculate the common denominator of 536/j - 2/m and -33/8.
40
Calculate the common denominator of -103/60 and (-5 - -5) + 1 + 190/8.
60
Suppose -4*v + 29 = -151. Let l = v + -3. Let m(z) = -z**3 + 7*z**2 - 2*z + 3. Find the common denominator of m(4) and l.
1
Suppose -2*p - 3*p + 100 = 0. What is the least common multiple of p and 10?
20
Let b be ((-24)/(-10))/(-2 + (-118)/(-60)). Calculate the common denominator of -47/22 and -2*(-249)/b - 3.
132
Let u = -336 - 1169. Let p be (-736)/(-94)*2422/u. Let m = 1/2021 + p. Calculate the common denominator of 57/7 and m.
35
Suppose -2*y - 2 = -5*x, -6*y = -5*y + 4*x - 25. Let o(m) = -2*m + 3. What is the least common multiple of y and o(-4)?
99
Suppose -4*p = -2*p, f + 2*p = -4. Calculate the least common multiple of 6 and (24 + f)*(-1 + 2).
60
Let v be ((-9)/68817273)/((-10)/(-7)). Let w = v - 2029478728481/180235715. Let u = -11263 - w. Calculate the common denominator of -13/20 and u.
220
Let m be (32863 - (3 - 1))/(-19 + 18). Let n = 985709/30 + m. What is the common denominator of 44/3 and n?
30
Suppose 5*j - 186 = 144. Calculate the lowest common multiple of j and 66.
66
Let c = 4019/2 - 2026. What is the common denominator of -19/134 and c?
134
Let b(o) = o + 9. Let j(n) = -n**3 + 2*n**2 + 16*n - 3. Let v be j(5). Calculate the least common multiple of b(v) and 52.
572
Let l be 44/(-3) - 18/(-27). Let z = 34975/22 - 1588. Find the common denominator of z and (182/147)/((-10)/l - -1).
198
Let r be (12/6 - 1) + -5 + 0. Let b = -24411/12122 + -4/319. What is the common denominator of b and 6/r*(-1 - (-428)/36)?
114
Calculate the lowest common multiple of 36 and -24*(4 + (-22)/4).
36
Let c = 181 + -346. Let i be (1 - c)*35/28. Let y = 201 - i. Find the common denominator of -64/9 and y.
18
Suppose 5 + 15 = 5*z. Suppose -15 = -z*k + 3*l + 34, 38 = 3*k - 2*l. What is the smallest common multiple of 4 and k?
16
Find the common denominator of (-2061)/108 - (-1)/4 and -55/12.
12
Let g(l) = -l**3 + 12*l**2 - 7*l + 4. What is the least common multiple of 8 and g(11)?
48
Suppose -411 = -7*q - 1356. What is the common denominator of -97/48 and (-1)/4 - q/(-6)?
48
Let r(y) = y**3 - y - 1. Let d be r(0). Let w be 10/3*(-4 - d). Find the common denominator of -6/5 and (106/(-32))/(5/w).
40
Suppose 38 = 5*r - 4*f, 3*f = -r - 0*f. Let w = -10 - r. Let v = w + 18. Calculate the smallest common multiple of 8 and v.
8
Let c be -1 - (-4)/4*-7*-1. What is the lowest common multiple of ((-48)/14)/c - 232/(-14) and 58?
464
Suppose 0*v + 24 = v. Let c be (-2)/(-4)*(-5468)/10. Let o = -271 - c. What is the common denominator of o and v?
5
Let q(u) = -u**3 + 2. Let h be q(0). Suppose y - 36 = -h*y. Calculate the least common multiple of y and 70.
420
Find the common denominator of 2/((-24)/(-55)) + (-138)/(-184) and 2 - ((-156)/9 + 2).
3
Let h = 710 - 5773/8. Calculate the common denominator of h and -29/118.
472
Let x be (-32)/(-18) - 18/(-81). Let r be x/7 - (-258)/(-21). What is the least common multiple of 4 and ((-4)/r)/((-2)/(-66))?
44
Let r(j) = 3*j**2 + 26*j + 12. What is the smallest common multiple of r(-9) and 171?
1197
Let h(w) = 48*w - 456. Calculate the smallest common multiple of h(11) and 234.
936
What is the common denominator of ((-2211)/154 + 3)/((-90)/7) and -47/120?
120
Let l = 109 + -106. What is the smallest common multiple of (-31)/(-3) - 12/(-18) and l?
33
Let n = 858 - 462. Let d = -271693 - -2170383/8. Let s = d + n. What is the common denominator of -93/8 and s?
8
Calculate the common denominator of -93/16 and (-3791)/1836 - (-3)/2.
432
Let w = -421 - -501. Calculate the smallest common multiple of w and 60.
240
Calculate the common denominator of (-2)/18*-2 + 114762/(-26784) and 57/88.
176
Let d be (-9)/6*(-8)/6. Suppose 2*h + 4*t - 30 = -d, -2*t + 80 = 4*h. Let s = -6772/7 + 974. Calculate the common denominator of s and h.
7
Suppose 16 = 2*n - 3*n. Let t be n/50*(-56)/16. Let q = -32/25 - t. Calculate the common denominator of q and -37/3.
15
Let f be -3 - (-4 + 8)/1. Let l(h) = -2*h**2 - 16*h - 8. What is the lowest common multiple of l(f) and 6?
6
Let t(v) = -6*v + 6. Let p be t(-4). Suppose -3*y = -0*y - p. Calculate the lowest common multiple of y and 12.
60
Let o(j) = -7*j - 67. Calculate the smallest common multiple of o(-13) and (-9)/12*1 - 917/(-28).
96
Let n = 2 - -10. Suppose 2*s - 4*s + n = 4*t, 2*s + 6 = 5*t. Calculate the lowest common multiple of 25 and t.
50
Calculate the common denominator of -1/194 and 4242/140*10/(-24).
776
Let d(v) = 63*v**2. Let t be d(-1). Let h = -53 + t. Calculate the lowest common multiple of 2 and h.
10
Calculate the common denominator of -19/24 and (0 - (-10)/(-432))*-46.
216
Let t(j) = -j**3 + 26*j**2 - 57*j - 126. Calculate the least common multiple of 15 and t(23).
150
Let j be (-6)/(-14) + 2 + 276/42. Suppose j*i = -3*i + 504. What is the lowest common multiple of 18 and i?
126
Let h = -21309/698 + 10/349. Let c = 1/239 + 24603/3346. Calculate the common denominator of h and c.
14
Let x = -29317/20 + 1472. What is the common denominator of x and -11/140?
140
Let n(i) = i**3 + 6*i**2 - i + 12. Let x = 10 + -8. Suppose x*a - 50 = -3*a. Calculate the lowest common multiple of n(-6) and a.
90
Let x be 283/(-735) - (-17)/(-119). Let q = x + 3/49. Calculate the common denominator of q and -13/6.
30
Let y = 1083 + -19441/18. Calculate the common denominator of -95/24 and y.
72
Let g = -55/12 + -27/4. What is the common denominator of (402/58 - 7) + (-11125)/4785 and g?
33
Suppose 3*b = h - 75, 0*b = h - 4*b - 78. Find the common denominator of 23/36 and (h/(-18) - -4)/((-2)/136).
36
Let g(q) = 8*q + 2. Let j be g(5). Let f = j - 37. What is the common denominator of ((-101)/4)/((-6)/4) and f?
6
Calculate the least common multiple of 18 and (24/14)/((-69)/(-8211)).
612
Suppose -5*i = -8*m + 3*m - 225, m + 183 = 4*i. Let l = 14675 - 293399/20. Calculate the common denominator of l and 69/i*(-26)/24.
40
Let u(m) = 8*