Let w(h) = -135*h**3 + 6*h + 0*h - 3 + 8*h**2 + 136*h**3. Let f be w(-6). Let u = -22 + f. Calculate the lowest common multiple of 4 and u.
44
Let z(t) = t. Suppose 2*m = 2*x + 15 + 3, 0 = 2*x + 3*m + 28. Let i = x - -27. What is the least common multiple of z(2) and i?
16
What is the common denominator of 2 - 26/10*(-385)/(-132) and -61/30?
60
Suppose -17*n = -16*n - 4215. Let d = 67409/16 - n. Calculate the common denominator of d and -25/9.
144
Let m be (-19)/(-4) - 3/(-12). Suppose -3*d = -m*a - 51, 5 = -3*a - 4. Suppose -88 = -2*h - 2*h. What is the lowest common multiple of d and h?
132
Let f be ((-4)/(-5))/(2/175). Suppose 5*c - f = -0*c. What is the least common multiple of c and 50?
350
Let j be -3 - 170439/(-30) - 6. Suppose 17052 = 4*k - 7*k. Let l = k + j. Find the common denominator of -149/6 and l.
30
Let l be (-913205)/(-35) + (-3*1)/12. Let s = l + -26094. Calculate the common denominator of s and -9/32.
224
Suppose -g + 2*y - 20 = -2*y, 5*y = -3*g + 8. Let z be (-12)/g + 820394/(-380). Let n = z + 10789/5. Calculate the common denominator of n and 85/16.
304
Suppose -5*p - 3*w + 24 = 0, -4*p - w + 3*w + 6 = 0. Suppose n = 4*z - 16, -p*z - 2*z + n + 19 = 0. Calculate the least common multiple of 10 and z.
30
Suppose -8*b - 1548 = -4836. What is the smallest common multiple of b and 10?
4110
Suppose -3*c + 8 = -1. Calculate the lowest common multiple of 2*-1*(-28)/4 and 0 + c + (17 - -2).
154
Suppose -2360 = 91*p - 69791. Calculate the smallest common multiple of 12 and p.
2964
Find the common denominator of 1/(8/(-25)) + 2 and (2/(-4))/(1 + -2).
8
Suppose 0 = 2*c + 4*o - 2*o - 10, 2*o = -5*c + 13. Calculate the common denominator of (-244)/168*c + (-2)/1 and -59/16.
336
Suppose 39 = h + 2*z, -69 = -2*h + 2*z - 3*z. Suppose 3*g - 5*g - 4*c + 4 = 0, 27 = g - 3*c. What is the smallest common multiple of h and g?
132
Let q(x) = 2*x**2 + 50*x + 28. Calculate the least common multiple of 176 and q(-26).
880
Suppose 18 = 4*j - 26. Let r(w) = 4*w - 6. What is the lowest common multiple of r(5) and j?
154
Let i(c) = 3*c**3 + 7*c**2 - 25*c - 3. What is the lowest common multiple of 171/12 - (-2)/(-8) and i(3)?
462
What is the least common multiple of 28 and 12 - 6*8/16?
252
Let k = 144 + -136. Let j(t) = -t - 5. What is the least common multiple of k and j(-7)?
8
Let f = -220 + 248. Calculate the lowest common multiple of f and 44.
308
Let l = -174751/1690 + 517/5. Calculate the common denominator of l and 47/20.
3380
Let i = 115 - 51. Find the common denominator of ((-214)/18)/(20/(-15)) and ((-156)/i)/(1/4).
12
Let u = 29 + -25. Let j be 105/4 + -3 + u. Let d = 189/8 - j. Find the common denominator of d and -97/4.
8
Let u be -2 - -2 - (-54)/(-2). Find the common denominator of u/(-9) - 43/(-18) and 4/8 - 183/27.
18
What is the lowest common multiple of 680 and 1 + 6/(-7) + 415/35?
2040
What is the smallest common multiple of 798 and -7 - -4*(105/(-28))/(-1)?
3192
Let d = -17 + 35. Let x(z) = 2*z**3 - 7*z**2 + 8*z + 5. What is the least common multiple of d and x(3)?
180
Let p be 7/((-35)/15) + -6. Let k = 4989 + -29837/6. What is the common denominator of (54/60)/((-6)/p) and k?
60
Calculate the common denominator of 183/61 - (-70)/(-132) and -19/110.
330
Let b(u) = -u**3 + 2*u**2 - 3*u + 1. Let m be b(2). Let x(i) = i**3 + 6*i**2 + 14*i + 3. What is the common denominator of 49/6 and x(m)?
6
Let t = 13402 + -321739/24. Find the common denominator of t and -151/6.
24
Let x = -1573/9 - -171887/990. Find the common denominator of x and -65/22.
110
Suppose 27*p - 23*p = 0, p = 4*j - 20. What is the lowest common multiple of 8 - (3 + -5) - 3 and j?
35
Let b be (1/(-25))/(8/666020). Let g = -3318 - b. Calculate the common denominator of 1 + 2 + 13/(-6) and g.
30
Calculate the common denominator of (-301)/84 + 0 + -1 and -3*(-76)/(-16) + 3.
12
Suppose -43 = -3*q - 2*m, 6*q - 4*m = 2*q + 24. Let j be 5/(-2)*16/(-20). What is the lowest common multiple of j*(-1 - (-2 + 0)) and q?
22
Let l be (-5)/(-25) + (-1011)/(-545). Let w = l - 186856/545. Let p = 10739/30 + w. Calculate the common denominator of p and -62/5.
30
Let z = 2 + -6. Let h be -8*(2 - (-45)/z). Calculate the common denominator of -91/18 and (h/(-6))/((-32)/12).
72
Let z = 20 + -12. Let k = -68 - -76. Suppose -k*v + 46 = -18. What is the lowest common multiple of v and z?
8
Suppose -3*f + 3*o + 2 = -4, -5*o + 30 = 5*f. What is the least common multiple of f and 1490?
2980
Let n = 3736666/81 + -46131. Find the common denominator of n and -55/9.
81
Suppose -7 - 32 = -s. What is the lowest common multiple of 204 and s?
2652
Let p = -3783 + 359382/95. Calculate the common denominator of p and -16/11.
1045
Let x = -51 + 703/14. What is the common denominator of -23/24 and x?
168
Suppose 3*d + 2141 - 2249 = 0. Calculate the lowest common multiple of d and 216.
216
Let a(b) = 61*b**2 - b. Let v be (-12)/28 - (-24)/7. Let d be a(v). What is the common denominator of 2/13 - (-2295)/d and 89/6?
42
Let r = -9445 - -566717/60. Find the common denominator of -53/10 and r.
60
What is the common denominator of (-9 + (-1393)/(-155))*10/(-16) and 17/5?
620
Let b be 5 + 2/(12/98). Let i = 982/39 - b. Calculate the common denominator of i and 91/2.
26
Let c = 20 - 8. Suppose 4*s - 108 = -4*f, -4*f + 0*f + 124 = -4*s. Suppose 0 = 6*k - f - 7. Calculate the smallest common multiple of k and c.
12
Suppose -36 + 15 = -3*h. Suppose 0 = 8*x - h*x - 6. Let y = -12 - -20. What is the smallest common multiple of y and x?
24
Let f be (-6 + 7)/((-3)/(-15)). Suppose -f*l = 2*p + 2*p - 30, -2*l = 4. Calculate the lowest common multiple of 4 and p.
20
Suppose 2*j + 2 = 10, 0 = 5*g - 5*j - 130. Calculate the smallest common multiple of 57 and g.
570
Let x = 771 + -681. Calculate the least common multiple of 21 and x.
630
What is the least common multiple of 90 and ((-18)/(-7))/(105/490)?
180
Let f = -1906777/642272 - -1/20071. What is the common denominator of f and -71/8?
32
Let n = 113018/21973 - 2/3139. Find the common denominator of n and 37/12.
84
Suppose -3*w - 5*j + 4 = 0, j - 2 = -3. Suppose -6*k + w*k + 6 = 0. Calculate the lowest common multiple of 4*(-30)/(-36)*3 and k.
10
Let h = 34/15 - 91/60. Calculate the common denominator of h and -5/144.
144
Let k = 639 + -635. Let a(g) = g + 3. Let n be a(7). Calculate the smallest common multiple of k + 1 + 3 + n and 4.
36
Let u = -246 - -2453/10. Let v = 459647/25 - 2499477/400. Let g = -12132 + v. Calculate the common denominator of u and g.
80
Let q be ((-4)/26)/((-80)/2044). Let n = -7/26 - q. What is the common denominator of n and (1/4)/((-6)/(-33))?
40
Suppose 5*t + 0*t + 55 = 4*j, 5*j - t = 74. What is the common denominator of j/(-6) - (-4)/6 and 0 - 140/6 - 0?
6
Find the common denominator of -61/60 and 4/12*(244/(-28) + -3).
420
Let l be 14*((-72)/42 - -2). Let s(z) = z**3 + z**2 - z + 1. Let o be s(-3). Calculate the common denominator of -29/10 and l/o + 2775/378.
90
Suppose 9*m = 114 + 210. Calculate the least common multiple of 152 and m.
1368
Let b(g) = -g**3 - 2*g**2 - 2*g - 2. Let d = 63 + -58. What is the least common multiple of b(-3) and d?
65
Let n = 22715/39 - 581. Calculate the common denominator of 43/30 and n.
390
Suppose -h + 22 = -4*r - 21, -2*h + 5*r + 80 = 0. Calculate the smallest common multiple of 1 and 9/45*(0 + 0 + h).
7
Let v(p) = p**2 + 17*p + 94. Let n(z) = -z**3 - 5*z**2 - 2*z + 2. Calculate the smallest common multiple of n(-5) and v(-8).
132
Let v = -18 - -9. Suppose 0 = -12*m + m + 440. Find the common denominator of (0 - 1) + (-74)/v and m.
9
Suppose 3*m - 3 - 9 = -4*b, 3*b = 0. What is the smallest common multiple of m and 8 - -3*(-4 + 5)?
44
Let z = -9662/5 + 1942. Let o be ((-2107)/(-11))/(2/(-6)). Let p = 575 + o. Find the common denominator of z and p.
55
Suppose -2*a + 10 + 8 = 0. Suppose 1 = 3*d + 2*y, -d = -3*d - y + 2. Calculate the least common multiple of d and a.
9
Let g(n) = -n**3 - 9*n**2 + 8. Let q be g(-9). Suppose s + q - 28 = 0. Calculate the lowest common multiple of 18 and s.
180
Let a be 3 - (196/42 - 1/(-3)). Calculate the common denominator of 65/14 and 363/432 + a*(-3)/(-24).
1008
Let x = 44849/20 + -2244. Calculate the common denominator of x and ((-37)/(-30))/(1/(-9)).
20
Suppose -d + 2*