9)/(-25). Let z = -50/107 - w. What is the common denominator of z and 1/(-11)*(-56)/(-4)?
110
Suppose 14 = -7*y - 7. Calculate the common denominator of -5*((30/8)/y)/(-2) and (-1)/3 - 250/36.
72
Let f = 115807/30 + -3859. Find the common denominator of f and -17/40.
120
Let f = -2059754/6327 + 2930/9. Let n = -21825/5624 + f. Find the common denominator of -1 + -99*(-4)/(-56) and n.
56
Let f be 4/(-18) - ((-215)/(-45) - 6). What is the lowest common multiple of -3*(-6)/9*f and 2?
2
Calculate the least common multiple of (203/(-116))/(2/(-24)) and 192.
1344
What is the smallest common multiple of (-2 - 12/(-5))/(6/30) and 824?
824
Let n = 0 + 8. Let v = 40 - 24. Let w = v + -9. Calculate the lowest common multiple of w and n.
56
Let x be -2 - 1 - -2 - 11. Let v = x + 32. Calculate the smallest common multiple of 7 and 5 - (-2 + v/4).
14
Suppose 0 = 20*r - 17*r - 27. Suppose r*u = 13*u - 120. What is the lowest common multiple of u and 27?
270
What is the common denominator of (16/(-224))/(-1*2/16) and 37/61?
427
Let a = -421/666 + 63827/72261. What is the common denominator of a and 137/6?
1302
Let j = 41 - 66. What is the smallest common multiple of (-3)/12 + j/(-4) and 11 - ((-1)/(-1) + 0)?
30
Let i = 735 + -32311/44. What is the common denominator of i and 87/2?
44
Let r be ((-10)/4 - -1)/(111/(-2368)). Suppose 15 = 5*i, 3*i - r = -3*u + 25. What is the lowest common multiple of 128 and u?
128
Let c(f) = -f**2 - 17*f - 40. Let u be c(-12). Suppose p - 7 - 1 = 0. What is the lowest common multiple of 16 and (-82)/(-5) - p/u?
16
Let z(y) = y**2 - 7*y - 24. Let r be z(10). Suppose 3*n + 27 = t, 2*n - r*n = 2*t - 4. Calculate the lowest common multiple of 24 and t.
24
Suppose 0 = 22*a - 6*a - 320. What is the lowest common multiple of 15 and a?
60
Let a = 9026/9 + -1011. Calculate the common denominator of a and 76/3.
9
Let x = 218151/3800 - 2195/38. Calculate the common denominator of x and -39/80.
400
Calculate the common denominator of -71/64 and (369/(-90))/(24/(-10)).
192
Suppose 3*a = -2*v - 6, 5*v - a - 2 = v. Suppose k + 4 = v, -3*k - 90 = 5*m - 253. Calculate the least common multiple of 35 and m.
35
Let q(x) = -2*x**2 - x**2 + 1 + 4*x + 2*x**2 - 7*x. Let b be q(-2). Suppose b*m + 5*f = 55, 4*m + f = 65 + 14. Calculate the least common multiple of m and 6.
60
Let w = -1059/1160 - -4/29. Calculate the common denominator of w and -69/35.
280
Let x = -8 + 8. Suppose 5*r - 4*n = 42, -2*n + x - 46 = -5*r. What is the least common multiple of 8 and r?
40
Suppose 2*w = 6*w + 68. Let t(f) = -f**3 - 18*f**2 - 18*f - 25. Let u be t(w). Find the common denominator of 37/2 and 654/u*(-2)/(-15).
10
What is the common denominator of -145/126 and 6/8 + -4*(-748)/576?
126
Let t(v) = -26*v + 228. Calculate the least common multiple of t(6) and 54.
216
What is the common denominator of (-471)/(-60) + 0 - 19/190 and -95/4?
4
Let p = 78823/2102 - -1/1051. Calculate the common denominator of -3*(-2)/(-28) + 0 and p.
14
Let w be (-6)/(-15) - (-32)/20. Let u(l) = 4*l**2. What is the smallest common multiple of u(w) and 720/75 - (-4)/10?
80
Suppose 9*y + 4*y = 104. Calculate the lowest common multiple of y and 79.
632
Find the common denominator of ((-284)/(-27))/4 + 9/(-6) and -137/30.
270
Let i = 507931/111620 + -3/5581. What is the common denominator of i and 4186/(-184) + 1*4?
20
Let h = -3855 - -713172/185. Calculate the common denominator of h and 6/185.
185
Let n = 58249/28120 + 5/1406. What is the common denominator of n and -57/88?
440
Suppose -283 = -12*f - 43. Calculate the lowest common multiple of 30 and f.
60
Let i be (-3)/(-4) - (-81)/(-12). Calculate the common denominator of -2 + 255/i - (-24)/(-16) and 64/3.
3
Calculate the common denominator of 13/80 and 18/9 + 644/(-96).
240
Let q be -10 + 3*(-4 + 3). Let x = 22 + -12. What is the lowest common multiple of x and (1 + q)*(-8)/24?
20
Find the common denominator of ((-106)/(-6))/(50/(-15)) and -97/6.
30
Let x = -157 + 235. Find the common denominator of -121/126 and (x/(-16))/(-3) + 1.
504
What is the common denominator of (2*53/(-310))/(47 + -45) and -97/12?
1860
Let w(o) = -o**2 - 6*o + 4. Suppose -2*b + 6 = -3*b. What is the smallest common multiple of 8 and w(b)?
8
Suppose 3*n = -6 - 0. Let i be 35/60 - n/(-12). Let k = i + 173/12. Find the common denominator of k and 51/10.
30
Let d(c) = -52*c + 10. What is the smallest common multiple of 9 and d(0)?
90
Suppose 9*o - 23*o = -224. What is the smallest common multiple of 39 and o?
624
Let d = -604/17 + 2179/102. Calculate the common denominator of -47/298 and d.
894
Suppose 20*s - 16*s - 12 = 0. What is the least common multiple of s and 7?
21
Let x(v) be the third derivative of v**5/60 - 5*v**4/24 - 5*v**3/3 + v**2. Suppose 6 = 3*z - 15. What is the least common multiple of 24 and x(z)?
24
Let p = -12259/14 - -10922761/12474. Let d = p + -305533/124740. Calculate the common denominator of d and 69/10.
20
Let f(c) = c**3 + 8*c**2 - 11*c - 3. What is the lowest common multiple of 18 and f(3)?
126
Let f(y) be the third derivative of y**5/12 + y**4/6 - y**3/2 + 24*y**2. What is the least common multiple of f(1) and 6?
6
Suppose w - 9 = 3. Calculate the common denominator of 0 + (-107)/(-6) - -3 and ((-267)/18)/((-20)/w).
30
Suppose 3*r - q = 152, -94 = -2*r + 5*q + 29. Find the common denominator of ((-3)/6)/(9/r) and ((-1)/(-12))/((-3)/606).
18
What is the common denominator of -85/756 and 288/(-504) + (-571)/42 + -1?
756
Let d(z) = -24*z - 2. Let u(l) = -l**3 - l**2 + 1. Let a be u(1). Let t = -38 + 40. Calculate the lowest common multiple of d(a) and t.
22
Calculate the common denominator of 42/101 and -3 + (-742)/(-40) + 11/55.
404
Let g(i) = -i**2 - 25*i - 119. Calculate the least common multiple of g(-11) and 14.
70
Let k = 56 - 51. What is the smallest common multiple of 30 and 53/k + (-1)/(-10)*-6?
30
Let a = 55 - 58. What is the common denominator of 8/(-12) + 253/24 and 3 - 45/2*a/(-18)?
8
Let l be 0 - ((-8)/(-6))/(5/(-30)). Suppose -22*d + 26*d - l = 0. What is the lowest common multiple of d and 6?
6
Suppose -5*r + 60 = -5*g, -11*g + 4 = r - 16*g. What is the lowest common multiple of r and 3144?
22008
Let u = -18043/2534 - 17/181. Find the common denominator of (1/(-7))/((-4)/178) and u.
14
Let z = -17 - 25. Let b = 71 + z. Calculate the common denominator of b and 1 + 3 - 12331/1045.
5
Find the common denominator of 2/8 + (-2)/(-336)*-422 and 53/24.
168
Let u(y) = -25*y + 179. What is the lowest common multiple of u(7) and 68?
68
Calculate the lowest common multiple of 14 and ((-20)/(-80))/((-2)/(-16)).
14
Let q be 1/(-4) + (-242)/(-8). Suppose 3*g - 2*g - 2*j - 113 = 0, 5*j - 199 = -2*g. What is the common denominator of 1*3/(q/g) and 30?
10
Let o = -7399/15 + 490. Find the common denominator of -53/15 and o.
15
Let b(z) = 20*z - 5. Calculate the least common multiple of 27 and b(1).
135
Let s = 2/20239 - 1113197/526214. What is the common denominator of s and ((-96)/240)/((-8)/390)?
26
Calculate the common denominator of -41/20 and (50/(-700))/((-2)/(-22)).
140
Calculate the smallest common multiple of 33 and ((-24)/(-16))/((-2)/(-20)).
165
Let m = 1/541013 + -3973740493/4328104. Let s = m + 921. Let q = 2277/4 + -561. Find the common denominator of s and q.
8
Let s(u) = 8*u**2 + 76*u - 6. Calculate the lowest common multiple of s(-10) and 306.
306
Let t = 33 + -31. What is the common denominator of (-67)/(-30) + (-6)/18 and (11 - t)*(-5)/8?
40
Suppose -25*i + 30*i - 30 = 0. Let u = 19 - -2. What is the smallest common multiple of i and u?
42
Calculate the common denominator of 29/350 and 15/20 + 23046/(-2520) + 8.
1050
Let a be ((-4)/10)/(12/(-60)). Let t(c) = -18 - 5*c**2 + 0*c**3 - c**3 + 19*c**a + 2*c. What is the smallest common multiple of t(14) and 6?
30
Suppose 0 = 55*q + 7 - 117. Calculate the lowest common multiple of 8 and q.
8
Let n(z) = -3*z - 42. Calculate the lowest common multiple of n(-19) and 63.
315
Let w(q) = q**2 - 3*q - 8. Let k be w(5). What is the common denominator of 58/21 and -3*k/90*37/(-2)?
210
Let p be (-3)/(-9) - 8/(-3). Suppose -40 = -3*x - 2*f, 0 = -p*x + 3*f + 4 + 11. Calculate the smallest common multiple of x and 2.
10
Let p = -167375/18 - -9295. Let r be (1 + -3)*(1 - 3). What is the 