d -97/18.
18
Let m(c) = 8*c**3 + c + 1. Let f be m(-1). Calculate the common denominator of 133/330 and (-3)/18*356*(-2)/f.
330
What is the least common multiple of 896 and 40*168/70*20?
13440
Let u = -455/12 + 188/3. What is the common denominator of u and -35/1014?
2028
Let k(q) = 2*q**2 + 25*q + 58. Let s be k(-10). Suppose 31*m = s*m + 1081. What is the smallest common multiple of 9 and m?
423
Let j be 26 - (0 - (5 + -7)). Suppose 4*r - j = s, 16 = -0*s - 4*s. What is the smallest common multiple of r and 38?
190
What is the common denominator of (3/11)/(((-86)/(-6))/(72 - 73)) and -60/301?
3311
Let u = -14693/2535 + -2/507. Calculate the common denominator of -14/1513 and u.
7565
Let t be ((-6)/(-9))/((-254)/(-12)). Let m = 7346/635 + t. What is the common denominator of 2 - (1 + 47 - -2) and m?
5
Suppose 3*v + 5*n + 55 + 112 = 0, 232 = -4*v - 2*n. Let w be (33 + -2)/((-3)/v). Let z = w - 36751/60. Find the common denominator of z and 79/6.
60
Let s(q) = q**3 - 4*q**2 - 4*q - 2. Let o be s(5). Let h = -20598/13 + 1277869/806. What is the common denominator of h and (6/4)/(o/(-41))?
62
Find the common denominator of (22 - 24)*(-83)/1020 and -121/40.
2040
Calculate the common denominator of (98/48069)/(12/(-3) + 3072/765) and 34/2071.
12426
Let s(j) = -j**3 - 12*j**2 - 14*j + 13. Let n be s(-12). Let d = 211 - n. Calculate the lowest common multiple of d and 27.
270
Let k be 2220/(-132)*1*18. Let f = -20011/66 - k. Find the common denominator of f and -127/48.
528
Let c(b) = -b**3 - 7*b**2 + 16*b - 8. Let f be c(-9). Let m = f - 83. Calculate the common denominator of 1/9*m/3 and -44/27.
27
Let z(f) = -12*f - 24. Let q be z(-15). Let g = 216 - q. Calculate the smallest common multiple of 66 and g.
660
Find the common denominator of (8/144)/((-11)/2211) and 137/66.
66
Let w be (-76642)/12 - (-9 + 8 + 5). Let h = w + 6410. Find the common denominator of h and -28/19.
114
Suppose -1 = 7*x - 71. Let k = x - -1. What is the common denominator of 47/8 and 4 + (-2 - (-6)/k)?
88
Let f = 50201/15 + -3348. What is the common denominator of -41/531 and f?
2655
Let p be 166426/23292 + (0 - 0). Let j be 1169/5823 - (-2)/(-18). Let i = j - p. What is the common denominator of i and -71/44?
396
Let t(q) = q**2 + 11*q + 14. Let n be t(-11). Suppose 2 = j - n. Calculate the common denominator of 28/j*28/3 and -97/6.
6
Suppose 0 = 4*n + v - 47, 7 = 2*n + 2*v - 15. Suppose 729*t = 732*t - 4*b - 15, 0 = 3*b - 9. What is the least common multiple of n and t?
36
Let v be (-6 - 133) + 1 + -2. Let w = -32 - -53. What is the common denominator of -107/6 and (147/v)/w*(-204)/(-2)?
30
Let s be 10/84*((-256613)/140 + -5). Let u = s + 219. Calculate the common denominator of -44/63 and u.
504
Suppose 0 = -74*f - 201 + 941. Let m(o) = -5*o - 43. What is the smallest common multiple of m(-11) and f?
60
Find the common denominator of -27/22 and (-7719)/(-1328)*12/(-9).
44
Let w = 9 - 9. Let q(g) = -14*g + 7 - 20*g + 5 + 37*g. Calculate the least common multiple of q(w) and 30.
60
Let g = 93 - 95. Find the common denominator of -73/26 and 612/27 - g/(-12).
26
Let p = 9911063/8 - 1242935. Let h = p - -4060. What is the common denominator of h and 8/7?
56
Let s be (-41 + 32)*(-2)/6. Suppose 27*u - 24*u - 2*v = 20, 0 = 2*u + s*v - 9. What is the smallest common multiple of 1 and u?
6
Let s(j) = j**3 - 13*j**2 - 2*j + 36. Let o = 156 - 150. What is the lowest common multiple of s(13) and o?
30
Suppose -4*u + 5*u = 2*g - 21, -2*u = 3*g + 49. Let q = 161/9 + 65/18. What is the common denominator of (21/6 + -4)*u and q?
2
Let x(h) be the third derivative of -h**4/24 - 7*h**3/3 - 17*h**2. Let n be x(-18). Suppose 0 = n*c - 44 - 16. What is the least common multiple of c and 15?
15
Suppose 0 = 2*i + 4*g - 2344, -4*i = 2*g - 6623 + 1905. What is the smallest common multiple of i and 27?
10638
Let w = -338 - -319. Calculate the least common multiple of 301 and (0 + 8)/(21 + w).
1204
Let v(y) = -y**2 - 24*y - 20. Calculate the least common multiple of 1182 and v(-4).
11820
Let j = -75/322 + -2136/161. Calculate the common denominator of -69/2998 and j.
2998
Let h be (17994/(-216))/((-4)/424). Let v = 8823 - h. Find the common denominator of v and (44/20)/((-3)/5).
18
Let u be -55*2*((7 - 4) + -4). Suppose -5*p - u = 17*s - 22*s, -s = -5*p - 30. Calculate the least common multiple of 40 and s.
40
Calculate the common denominator of -26/75 and (-137)/100 + -2 + (-6 - -10).
300
Let j(k) = 5*k + 22. Let p(l) = -21*l - 89. Let v be (-2)/(-14) + (-516)/84. Let q(i) = v*p(i) - 26*j(i). What is the lowest common multiple of q(-21) and 7?
322
Let d = 2155 + -17257/8. Find the common denominator of (-93)/117 + 2 + -2 + 2 and d.
312
Suppose -758*r = -725*r - 7920. What is the least common multiple of 210 and r?
1680
Let n = 1/11095 - 299707/1575490. Calculate the common denominator of n and 196/126 - (-13470)/540.
142
Let y = 1651951/450 - 3671. What is the common denominator of -131/6 and y?
450
Let p = -243 + 245. Suppose -5*a = -4*u - 55, -2*a + 4*u = p*u - 24. What is the least common multiple of a and 11?
77
Suppose q - 8 = -3*i, 0*i = -4*q - 4*i + 8. Let a be (32/(-3))/((6/108)/q). Suppose a = -7*y + 15*y. Calculate the least common multiple of 2 and y.
24
Let i = -665565/10731758 + -1/39167. What is the common denominator of 39/959 and i?
1918
Let m be (33/(-3)*3)/(1/(-5)). What is the common denominator of (0 - m/(-100)) + (-2)/4 and -67/36?
180
Suppose 0 = -h - 4*a + 5 + 1, -5*h - 5*a + 15 = 0. What is the least common multiple of -3*24/90*-1*380/8 and h?
38
Suppose -5*x = -2*p - 4 - 1, -30 = -2*p - 2*x. Suppose -2*k + p = 4*c, k = c - 5*c + 11. Calculate the lowest common multiple of c and 9.
9
Let k(t) = -12*t + 3*t**3 - 15*t**2 - 9*t**3 + 4*t**2 + 5*t**3. Let a be k(-10). Find the common denominator of 258/a*2/(-6) and 46/11.
110
Let a be -1 - (4/366)/(40/(-3804)). Let w = 1511/15860 + a. Calculate the common denominator of 67/24 and w.
312
Let o = -172196015508/23 + 6729936874255536/898909. Let a = o - 3/7429. Let b = -17429/726 + a. Calculate the common denominator of b and -61/12.
12
Let b(w) = -2*w**3 - 17*w**2 - 41*w + 10. What is the lowest common multiple of b(-3) and 198?
3366
Let i = -29039/5940 + -11/540. Let y = 962651/33 + -29169. What is the common denominator of y and i?
33
Let r = -2377 + 2599. Calculate the least common multiple of 888 and r.
888
Let s = -1010 - -1689. What is the smallest common multiple of s and 4947?
34629
Calculate the common denominator of (2/3007)/(1464/8906) and -101/8.
72168
Let n = -130 + 133. Suppose -n*u + 10*j = 6*j - 103, 5*j = -5. Let m = -2 + 35. What is the least common multiple of u and m?
33
Find the common denominator of (425/90 + (-4)/(-18))/((-1360)/(-204)) and 71/915.
7320
Let a = -180 + 190. Suppose 2*p = -c + 113, 3*c = c + a. What is the smallest common multiple of p and 66?
594
Let a(o) = 4*o**2 - 88*o - 1. Let d be a(22). What is the common denominator of 2 - (-5058)/(-2674) - d/7 and 31/9?
1719
Let z(f) = f**3 - 6*f**2 + 11*f + 5. Calculate the smallest common multiple of 77 and z(5).
385
Let w = -235/11637 - 67457/43336188. Calculate the common denominator of 5/171 and w.
33516
Let d(z) = z**3 - 4*z**2 + 3*z - 8. Let q be d(4). Suppose -q*a - a = -3*j - 678, 3*a - 3*j - 402 = 0. What is the lowest common multiple of 42 and a?
966
Let a(c) = 327*c + 1974. Calculate the least common multiple of 14 and a(-6).
84
Let y = 16995 + -15663. Calculate the smallest common multiple of 1332 and y.
1332
Let p = 26292 + -1261717/48. Let j = -11/3 + p. Calculate the common denominator of (-174)/10*(-5)/(-4) and j.
16
Let v be (-120)/21 - -6 - (-33)/7. Suppose 3*r + 111 = -v*m, -2*m + 3*r - 57 = -0. What is the least common multiple of (102/(-12) - -7)*m/2 and 21?
126
Let q = -326/75 + 18943/4350. What is the common denominator of q and -127/48?
6960
Calculate the least common multiple of -4 + (-5 - (-267558)/90) + 4/30 and 27.
26676
Suppose 6*z = z + 15. Suppose -72 = -0*q + 2*q. What is the smallest common multiple of z and (-18)/(5*(q/15 - -2))?
9
Calculate the least common multiple of (2754/(-357))/(12/(-224)) and 144.
144
Suppose p + 34 = -558*o + 559*o, -61 = -2*o + p. Calculate the lowest common multiple of o and 5454.
5454
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