h be ((-12)/(-10))/(4/(-10)). Let d = 393/2398 - 330/109. Calculate the common denominator of d and ((-4)/(-64))/((6/196)/h).
88
Suppose -2*y - 28 = -8. What is the common denominator of y/40 - (-53)/(-36) and -81/46?
414
Let p = -4/4891 - -562561/117384. Let b = 2498/27 - 830/9. Calculate the common denominator of b and p.
216
Suppose 3*n - 13 + 1 = 0. Suppose 2*v + 4 + 6 = -2*i, -8 = -2*v + n*i. Calculate the smallest common multiple of 4 + 9 + v - 2 and 2.
18
Calculate the smallest common multiple of 80444/3978 + (-2)/(-9)*-1 and 4.
20
Suppose 33*k = -k + 204. Calculate the least common multiple of 27 and k.
54
Let c = 6/257 - 21869/1028. Let a be ((-2)/(-120))/((-78)/2748). Let v = -1/78 + a. Find the common denominator of c and v.
20
Let n = 1/461565 - 106806172/14308515. Let h = -33/31 - n. Let v = 205/7 + 17/14. Calculate the common denominator of h and v.
10
Let u(r) = -3*r**3 + 66*r**2 + 7*r - 98. Calculate the smallest common multiple of 40 and u(22).
280
Find the common denominator of 157/78 and 1 + ((-2)/(-9) - 11390/4680).
156
Let s(d) = -3*d + 107. What is the smallest common multiple of 26 and s(-27)?
2444
Calculate the common denominator of (-6)/(-8)*(-2060)/(-150) and -109/30.
30
Let z(s) = 3*s + 3. What is the lowest common multiple of z(3) and (-100)/(-45) - 2/9?
12
Let v be (20845/(-1290))/((-1168)/(-804)). Let c = -6/3139 + v. Find the common denominator of 28/(-3)*42/(-32) and c.
8
Suppose -18*v = -6*v - 192. Suppose -3*l = 5*t - 23, 0 = 5*t - 5*l + l - v. Calculate the least common multiple of 70 and t.
140
Let m = 14 - 10. Suppose 76 = 3*x + 5*f, -f = -2*x - 0*x + 42. Suppose m*i - x = 10. Calculate the lowest common multiple of i and 6.
24
Let f(a) be the second derivative of -a**5/20 + a**4/3 + a**3/3 - 5*a**2/2 - a. Calculate the smallest common multiple of 6 and f(4).
6
Find the common denominator of 47/120 and ((-24)/300)/(2/14).
600
Calculate the common denominator of 109/22 and ((0 - -3)/((-32)/62))/(-3).
176
Suppose 28*i - 4 - 192 = 0. Calculate the lowest common multiple of 98 and i.
98
Let a = 142 + -207. Let i = -3293 + 32819/10. Find the common denominator of i and 4 + -1 + a/(-15).
30
Suppose -4*d - 6*i = -11*i - 28, -5*d = 5*i - 35. What is the lowest common multiple of 4/6 + d/3 and 9?
9
Let i = 1108 - 1064. What is the lowest common multiple of 376 and i?
4136
Let i = 2 + 20. Suppose 0*p - 2*p = -2, r = 5*p + 7. Suppose r*c - 120 = 2*c. Calculate the lowest common multiple of c and i.
132
Let z = -25127/5005 - -174/35. Calculate the common denominator of z and -71/130.
1430
Let w = 308 - 297. Calculate the lowest common multiple of 164 and w.
1804
Let j = -115665/170996 + -25/2758. What is the common denominator of 75/8 and j?
248
Calculate the least common multiple of (7/(105/6))/(5/1275) and 6.
102
Suppose 0 = 162*x - 175*x + 1352. Calculate the smallest common multiple of 14 and x.
728
Calculate the common denominator of -107/460 and (-258)/(-4128) - (-50)/(-16).
1840
Let y be 21186/40 - (7 - 4). Let h = y + -2517/5. Find the common denominator of h and 101/32.
32
What is the common denominator of (-8)/(112/66)*1/(-3) and -49/2?
14
Suppose 0 = 4*w - 6 - 2. Suppose -w*l = -2*g - 3*l + 7, -4*l + 19 = 5*g. What is the smallest common multiple of 6 and g?
6
Calculate the smallest common multiple of (-10 + 3)/(-7) - (-141)/3 and 216.
432
Let a = -1317 - -10539/8. Find the common denominator of 77/58 and a.
232
Let w be 590/4*(-20)/(-25). Suppose -m + 186 = -3*m - 2*a, 4*a = m + w. Calculate the common denominator of 1 - -2 - (-105)/m and 11/12.
84
Find the common denominator of 52/15 and (-12)/486*87 + 9 + -5.
135
Let t(m) = 3*m**2 - 5*m - 28. Calculate the lowest common multiple of t(-4) and 152.
760
Suppose 40 = 3*o - 0*o + p, -5*o + 85 = -2*p. Suppose -5*g + 47 = 3*z + o, -2*g - 12 = -5*z. Calculate the least common multiple of g and 3.
12
Find the common denominator of (-404)/40*(-1 - (-12)/(-8)) and 58/9.
36
Suppose 3*u - 2*w + 1 = -3*w, 0 = -5*u - w - 5. What is the lowest common multiple of 75 and (1/u)/(4/(-24))?
75
Suppose 2*l - 10 = 50. Let r = 1533 + -1500. Calculate the lowest common multiple of r and l.
330
Let t = 880 + -750. What is the lowest common multiple of 10 and t?
130
Suppose -9 - 8 = -o. Suppose -2*g - f + 6 = -22, 3*g + 3*f = 42. Let p = g + -7. What is the smallest common multiple of p and o?
119
Calculate the common denominator of 85/16 and 2/12*1/(36/330).
144
Let x(f) = f**3 + 3*f**2 + 5*f + 6. Let d(n) = -5*n**3 - 14*n**2 - 24*n - 31. Let m(b) = -2*d(b) - 11*x(b). What is the lowest common multiple of 10 and m(-4)?
40
Suppose 1982 + 290 = 5*f + i, 3*f - 5*i - 1380 = 0. Calculate the common denominator of f/(-150)*54/140 and -79/12.
300
What is the common denominator of (-849)/(-1890) + 4/(-40) and -34/81?
567
Let u = -79 + 71. Suppose x + 0*t + 5*t = -38, 2*x + 16 = 5*t. Let o = u - x. Calculate the least common multiple of o and 2.
10
Let h(c) = 7*c**2 - 11. Calculate the lowest common multiple of 8 and h(3).
104
Let n(p) = 3*p**2 + 45*p + 24. Calculate the smallest common multiple of 30 and n(-15).
120
Let t = 27 - 17. Calculate the common denominator of (3/(-18))/(t/213) and (1/(-35))/((-4)/310).
140
Let r = 10984879/210 - 52308. Find the common denominator of 169/150 and r.
1050
Let s = -2/883 + -4411/1766. Calculate the common denominator of -51/92 and s.
92
Suppose 4*y - 31 = 9. Let r = 20 - 13. Let x = r - -1. What is the lowest common multiple of x and y?
40
Let h = -108 - -110. Suppose -h*f = w - 0*f - 8, 0 = -w + 2*f + 8. Calculate the least common multiple of w and 7.
56
Let m be 1780/(-30) + 4/(-6). Let u be (m/(-50))/((-1)/(-5)). Calculate the common denominator of 18/11 and 3 - 172/u - -3.
33
Let p(s) = s**2 + 3*s + 1. Let o be p(-4). Suppose 1 - o = -l - 2*w, -4*l + 6 = -2*w. What is the least common multiple of l and 18?
18
Suppose 4*n = 5*t - 358, 5*t + 5 - 347 = -4*n. Calculate the lowest common multiple of t and 80.
560
Let l = -377/6 - -52. Calculate the common denominator of l and -105/58.
174
Let f = 222/7 + -26. Calculate the common denominator of (-1220)/224 - 2/21 and f.
168
Let w(y) = -y**2 - 9*y - 17. Let n be w(-6). What is the common denominator of 111/51 + -1 + (-2 - n) and 35/4?
68
Suppose -11*f = 20*f - 372. What is the lowest common multiple of f and 50?
300
Suppose 0 = 30*v - 424 - 656. What is the lowest common multiple of 45 and v?
180
Let n be (-117)/26*2/3*-1. Suppose -4*d - 5*s = -48, -n*d - s + 36 = 4*s. What is the least common multiple of d and 6?
12
Suppose 14*g - 900 = 4*g. What is the common denominator of (-1)/5 - 1/g*3 and -83/2?
30
Let o = -307 + 568. Suppose 79 = -p + o. Find the common denominator of (p/(-16))/(9/12) and 1/12.
12
Let n(j) = -7*j**2 + 26*j - 36. Let r(u) = 4*u**2 - 13*u + 18. Let q(f) = 3*n(f) + 5*r(f). What is the smallest common multiple of 24 and q(7)?
24
Calculate the least common multiple of (4 - 190/45)/(9/(-1377)) and 2*(-2)/4*-1.
34
Let k = -3 + 5. Let v = -73 - -107. Calculate the least common multiple of k and v.
34
Let v be 25302/(-4)*(4 + 53/(-33)). Let g = v - -15139. Find the common denominator of g and -95/44.
44
Let i(n) = -n - 2. Let w be i(-5). Suppose 3*m = 3*d - 12, w*m + 3*d - 4*d = -20. Let g(t) = t + 18. What is the least common multiple of g(m) and 12?
60
Let x = -7 + 12. Suppose -3 + 10 = c + 4*m, -3*m + 35 = x*c. What is the common denominator of c and 24/9 - 2090/(-240)?
8
Let j = 13 + -8. Suppose -31 = j*d - 141. Suppose 32*c = 26*c + 36. What is the lowest common multiple of c and d?
66
Let n = 8515/2 - 4347. Let i = 91 + n. Find the common denominator of i and 127/18.
18
Let n be (-1 + (-2)/(-3))/((-2)/18). Suppose -g = m - 3*m + 13, n*g - 41 = -4*m. Calculate the lowest common multiple of m and 22.
88
Let w(q) = 4*q**3 - 5*q**2 - 5*q + 7. Let z(l) = -3*l**3 + 4*l**2 + 4*l - 7. Let b(o) = 4*w(o) + 5*z(o). Calculate the smallest common multiple of b(3) and 22.
220
Let h = -31 - -51. Let r = h + -14. What is the common denominator of 4/r*(-393)/(-12) and 85/14?
42
Suppose -21*h + 50 = -16*h. Let q(o) = o**3 - 2*o + 3. What is the least common multiple of q(3) and h?
120
Let g = 16949/4 + -4262. Calculate the common denominator of g and -47/6.
12
What is the common denominator of 