420
Calculate the common denominator of 101/12 and (-1390)/15*7/(-84).
36
Calculate the common denominator of (-290)/6*2*2/(-60) and -16/115.
1035
Let x = 36095/116886 + 2/2783. Let c = x - 28177/42. Let f = -667 - c. What is the common denominator of -49/9 and f?
63
Let m = -2/735 + 28669/1470. Let f = -144501/22 + 6565. Find the common denominator of f and m.
22
Let k = -1269 - -11401/9. Let b be (-2)/42*48/5. Let h = 99/35 - b. Find the common denominator of h and k.
63
Calculate the smallest common multiple of (-1 - -2) + -4 + 18 + 3 and 8.
72
Let u = 49363 - 3702166/75. Calculate the common denominator of -81/200 and u.
600
Let d(o) = -o + 4. Let u be 2/(-2 - 9/(-3)). Suppose -5*j = -a - 54, -2*j + 3*a = -3*j - 2. Calculate the least common multiple of d(u) and j.
10
Let a = -1 + 14. Let g = -91 + a. Find the common denominator of 38/11 and (g/30)/(12/(-50)).
66
What is the common denominator of 25/(-50)*149/(-24) and 101/48?
48
Let h be ((-10)/(-4))/((-10)/20). Suppose -r - 4*r = 2*b - 10, 2*r + 4*b = -12. Calculate the least common multiple of r and (-4)/h*20*5/10.
8
Suppose 2*u - 10 = -0*x + x, 0 = 5*x + 3*u + 63. What is the smallest common multiple of 15 and 4/(2 + 20/x)?
60
Suppose -97 + 21 = 2*x. Let f = 48 + x. Calculate the least common multiple of 12 and f.
60
Let j = -611375/28 + 21832. Let v(k) = 4764*k**2 - 6*k + 4. Let n be v(2). Let m = -380861/20 + n. What is the common denominator of j and m?
140
Suppose 0 = 4*d - 3*g - 6, 0 = -5*d + 2*g - 7*g + 25. Suppose 2*r - d*x - 29 = -2*x, -r = 4*x + 8. What is the lowest common multiple of 10 and r?
60
Let w = -46 + -5. Let k = w - -84. What is the lowest common multiple of k and 18?
198
Suppose -2*t + 0*t = 10. Find the common denominator of -71/33 and t/((-65)/(-2)) - (-1182)/(-936).
132
Let u = 5503/10 - 551. Calculate the common denominator of u and 111/22.
110
Let g = 102 + -154. What is the least common multiple of 4/(-10) + g/(-5) - 4 and 22?
66
Suppose 2 = 21*m - 20*m. Suppose -2*o - 3*r = r + m, 3*o + 4*r - 7 = 0. What is the lowest common multiple of o and 6?
18
Let s = 267/13 + -3047/130. Find the common denominator of 89/32 and s.
160
Let b(f) = 2*f**2 + 30*f + 6. What is the lowest common multiple of b(-15) and 12?
12
Let t(u) = -3*u**2 - 22*u - 28*u - 5 + 48*u - u**3. Let y be t(-5). Suppose 6*j - 11 = y. What is the smallest common multiple of j and 7?
77
What is the common denominator of -71*2/(-24) - 2 and (-4 + 225/55)/(8/236)?
132
Suppose -13 = g - 4*g - 4*r, g + 5*r - 8 = 0. What is the least common multiple of 6 and g?
6
Let n(u) = 3*u - 4. Let c(x) = x**3 + 2. What is the least common multiple of c(0) and n(6)?
14
Let m(i) = -i**2 - 15*i - 26. Let l be m(-11). What is the common denominator of 5/12 and l/8*58/(-6)?
12
Let y = -1927/90 - -272/15. Find the common denominator of (-34)/28 + (5 - 3) and y.
126
Let y = 3328 + -26689/8. Calculate the common denominator of -65/88 and y.
88
Calculate the common denominator of (-9)/(-38)*(-27)/(27/(-2)) and 95/14.
266
Suppose -5*l = 4*n - 20612, 3*n + 13*l - 15*l = 15436. What is the lowest common multiple of 2 and n?
5148
Let i be (-2 - -4) + 0 + -1. Suppose -i = 5*r + 34. What is the least common multiple of 14*-1*2/r and 20?
20
Let i = 6 + -6. Suppose 3*w + i*w + 29 = 4*y, -15 = -3*y. Find the common denominator of 16/5 - 6/w and -38/11.
55
Suppose 4*b - 11 - 29 = 0. What is the lowest common multiple of 20 and b?
20
Let g = -334 - -422. Calculate the smallest common multiple of g and 96.
1056
Suppose 0 = -3*c + 9 + 21. Suppose -5*k = -0*k + c. What is the common denominator of -99/4 and 0 + 164/44 + k?
44
Suppose 3*o = -12, -2*o - 29 = -2*b + 89. What is the smallest common multiple of b and 105?
1155
Let c be (-20)/(-3)*(-336)/(-70). Let b = c - 14. Calculate the least common multiple of 8 and b.
72
Let w(g) = g**2 - 20*g + 119. Let i = -11 - -16. What is the smallest common multiple of 62/i + (-8)/20 and w(11)?
60
Let s = -1/1853263 - -202006633/1790252058. Calculate the common denominator of -51/22 and s.
10626
Let m = 11144942025323/14721 - 757077780. Let r = m - 2/4907. What is the common denominator of r and -62/21?
21
Let a = -92 + 122. What is the smallest common multiple of 180 and a?
180
What is the common denominator of 46/27 and (-116)/144*(-18)/(-12)?
216
Let u(w) = -3*w + 44. What is the smallest common multiple of 19/1 - (6 + -3) and u(0)?
176
What is the common denominator of 5/42 and ((15/460)/1)/(18/316)?
966
Let t(h) = -h**2 - 6*h + 6. Let j be t(-6). Let v = 12 - j. What is the common denominator of v/(-4) + 50/(-44) and -1/5?
55
Let m(u) = 4*u - 18. Let i(z) = 1. Let s(p) = -4*i(p) + m(p). What is the smallest common multiple of 2/(-4) + (-45)/(-2) and s(8)?
110
Let s(k) = 4*k - 18. Let t be s(5). Find the common denominator of ((-222)/(-16) - t)*48/(-40) and 101/16.
16
What is the common denominator of 94/(-56) + (-117)/(-351) and -19/84?
84
What is the common denominator of -2*((-26)/64 + 26 + -26) and -33/32?
32
Let a be (-780)/(-18) + 4/6. Let b = a - 34. What is the smallest common multiple of b and 1?
10
Suppose -6*y + 6 = -4*y. Suppose 2*v - y + 15 = 4*d, -4*d + 14 = -v. What is the least common multiple of 30 and v?
30
Let s = 1320599/6 + -217350. Let k = s - 2725. Find the common denominator of k and -82*((-74)/(-80) - (-3 - -4)).
60
Let p = 602 - 548. What is the least common multiple of p and 36?
108
Suppose 0*o = -2*o + 34. Let w = -15 + o. Suppose 4*y + 4*j - 4 = 0, 3*j = w*j. What is the lowest common multiple of y and 5?
5
Let c = -3601 + 28859/8. Suppose i - 2*l + 11 = 0, -l - 71 = 2*i + 2*i. Calculate the common denominator of c and 1 - (2 + i/(-11)).
88
Suppose w - 3*w = -14. Calculate the smallest common multiple of w and (-13)/((-52)/(-4))*-11.
77
Let q = 4191 + -67035/16. Calculate the common denominator of 33/68 and q.
272
Let c be (69 - -3)/(1 - -1 - 1). Let y = -54 + c. What is the lowest common multiple of 15 and y?
90
Let o be -50*(-12)/(-8) + 3. Find the common denominator of (23/(-6))/((-8)/o) and 49/10.
10
Let m be 3*((-24)/(-9))/(-4). Let b be 7/((-1 + m)/426). Let g = -2067/2 - b. Calculate the common denominator of g and -3.
2
Suppose 8*x = 14*x - 138. Let w = -9 + x. Calculate the lowest common multiple of w and 3.
42
Let q = -8 - 1. Let s = q + 7. What is the smallest common multiple of 11 and s/(-6) + (-234)/(-27)?
99
Let y be (-7)/(-28) - 98/8. What is the common denominator of (-23)/5*y/24 and 91/16?
80
Let i(x) = -x - 1. Let q be i(-5). Suppose 0*j = q*j + o + 49, 15 = -j - 3*o. Find the common denominator of 15/8 and 7/(-42) - 173/j.
8
Let q be (-1 - -5) + (-28400)/(-44). Let m = -650 + q. Let r = 30/143 - -2/13. What is the common denominator of r and m?
11
Let l = -55 + 55. Suppose q - 3 - 17 = l. What is the lowest common multiple of 30 and q?
60
Let x be 4/(-16) - (-63)/(-36). Suppose 5*s = 2*b + 342, 4*b = -5*s - 15 + 351. What is the smallest common multiple of 18 and -6*(s/6)/x?
306
Let v = 166/13 - 2539/208. Find the common denominator of -65/16 and v.
16
Let d = 0 + -5. Let c(n) = -n**3 - 4*n**2 + 3*n - 3. Calculate the smallest common multiple of 27 and c(d).
189
Let c(g) = -11*g**2 + 8*g - 7. Let k be c(6). Let h = k - -7151/20. What is the common denominator of -67/22 and h?
220
Let r(d) = -d**3 - d**2 - d - 1. Let x be r(-1). Suppose c + 0*c + 5 = x. Let m = c + 14. What is the lowest common multiple of 2 and m?
18
Suppose 30*a - 33*a + 6210 = 0. Find the common denominator of -9/2 and (-5)/(-2)*(-216)/a.
46
Suppose -9*p = -p - 104. What is the common denominator of -59/8 and p/(-8)*8/10?
40
Let c = -15334/9 - -1709. What is the common denominator of c and -9/11?
99
What is the common denominator of -113/10 and 267 + -267 - 2/(-1964)*85?
4910
Let f = 111 - 91. Calculate the least common multiple of 386 and f.
3860
Let p(m) be the first derivative of -m**3/3 + 4*m**2 - 4*m + 31. Calculate the lowest common multiple of p(4) and 15.
60
Suppose 158 = -c + 34. Let k = c + 175. Find the common denominator of 51/2 and (-340)/(-66) + (-68)/k.
22
Suppose 8*t = 9*t - 4. What is the common denominator of ((-12)/36)/(t/186) and -83/10?
10
Let t = 37/30 - -89/390. Find the common denominator of t and (-81)/10 - 1*12/(-4).
130
Let q(p) = p - 8. Let z b