12*h - 5*h**2 - 5 + 1/3*h**3. What is the least common multiple of j(12) and 22?
132
Suppose -o + 1368826 = -1642132. Let z = o + -54218429/18. Let n = z - -1173. What is the common denominator of -21/22 and n?
198
Let p(w) = 259 + 6*w - 2*w - 208. Let t = -8 + 17. Calculate the lowest common multiple of p(-12) and t.
9
Let h(v) be the second derivative of -v**5/20 + 17*v**4/12 - 7*v**3/3 - 14*v**2 + 69*v. What is the lowest common multiple of 2/4 + 15/2 and h(16)?
8
Suppose 36*v - 33*v + 5*l = 365, -5*v + 5*l = -595. Calculate the smallest common multiple of v and 120.
120
Suppose d - 5*c = -0*c + 102, 4*d - 5*c = 333. Calculate the smallest common multiple of (-178)/3*(-3)/2 + -3 and d/4 + (-30)/(-40).
860
Find the common denominator of -83/104 and (247 + -208)*1/34.
1768
Suppose -2*x = x - 27. Suppose -108*f + 111*f - 180 = -9*a, 0 = -2*a - 5*f + 53. Calculate the least common multiple of a and x.
171
Let t = -87047/9570 + -4/957. What is the common denominator of (6 + -2)/(11360/2280)*1/(-4) and t?
1420
Suppose 2*v = 6, -3*h - 3 = -v - 309. Let m(o) = -o + 16. Calculate the lowest common multiple of m(14) and h.
206
Suppose -2*l + 101 = 5*f - 4*f, 3*f + 81 = 2*l. Calculate the common denominator of -79/40 and 27/l*-3 - -2.
80
Let o = 136 - 137. Let f be (o/((-45)/(-10)))/((-1)/9). Find the common denominator of 101/2 and f + 0 - 855/120.
8
Let u = 7795 - 6750. Calculate the lowest common multiple of u and 30.
6270
Let g = -455 + 184. Let d = g - -272. What is the lowest common multiple of d and 9?
9
Let f(m) = -m**3 + 18*m**2 + 115*m + 5. What is the smallest common multiple of 390 and f(23)?
390
Calculate the lowest common multiple of -4 + (6 - 0) - -3 and (51/(-2))/((-107)/214).
255
Let t be (16/(-60)*-6)/((-4)/1130). Let q = -419 - t. Calculate the lowest common multiple of 66 and q.
66
Let s = 197/304 + -88583/132240. What is the common denominator of s and 80/21?
6090
Let n = -6/955 - 3803/154710. What is the common denominator of n and 61/42?
1134
Let y be (-57414)/(-540)*3/546. Let k = -4/117 + y. What is the common denominator of 3/8 and k?
40
Suppose 2*y - 12 = -y. Suppose 5*r = y*r. Suppose 5*z + o - 57 = r, 0 = 2*z - 3*z - 3*o + 3. Calculate the least common multiple of z and 27.
108
Suppose 15*t = 10*t + 130. What is the least common multiple of ((-13)/t)/(2/(-44)) and 9?
99
Let t = -16605 + 5197336/313. Let b = -338231/4695 + t. Let c = b - -16817/240. Find the common denominator of c and 113/10.
80
Suppose -430*h = -440*h + 140. Let t = 3 + 2. Suppose -t*o = -120 - 60. What is the least common multiple of o and h?
252
Let l(m) = -134*m + 76. Let b be l(11). What is the common denominator of b/(-324) - (-12 - -2)/(-2) and 121/6?
54
Find the common denominator of (-1140)/3600 - (1/3 - 39/(-45)) and -181/360.
360
Let w(z) = 3*z - 10. Suppose 12*k + 20*k + 100*k - 16368 = 0. Calculate the least common multiple of w(8) and k.
868
Suppose -37 - 3 = r. What is the common denominator of 486/r - 8/(-20) and ((-70)/18 - -2)/(-17 + (-795)/(-45))?
12
Let q be 810974/128 + ((-20)/(-4) - 7). Let x = q + -6335. Find the common denominator of 59/5 and x.
320
Let v = 113963/10 - 11387. Find the common denominator of v and 11/849.
8490
Let b be ((-5)/(30/2454))/(-1). Let d = b + -359. Calculate the lowest common multiple of 55 and d.
550
Suppose 1936 = -109*v + 115*v - o, 0 = -o + 8. What is the least common multiple of v and 162?
324
Let c = -215 + 161. Let l = c + 77. Let o = 3 + -2. What is the least common multiple of l and o?
23
Let z = -11071771/441 - -25106. Calculate the common denominator of z and -65/1372.
12348
Let t(f) = f**2 - 4*f + 1. Let r(n) = 7*n**2 - 7*n + 9. Let b be r(2). Suppose b - 3 = 5*k. What is the smallest common multiple of 10 and t(k)?
10
Let y = 1873/10179 + 4/351. What is the common denominator of y and 81/290?
870
Let s be 120*(-1)/7 + (-5)/(-5). Let v = s + 1982/105. What is the common denominator of v and 88/45?
45
Let i = -75490 - -42123319/558. Find the common denominator of i and -28/155.
2790
Suppose y = -0 + 2, f - 19 = -2*y. Find the common denominator of f/((-15)/2) - 19/4 and -13/50.
100
Let w = 3 - -11. Suppose 4*z - 28 = 4*t, 3*z = -39*t + 35*t - 14. Suppose -z*v = 4, 2*d - 2*v - v = 14. Calculate the least common multiple of d and w.
28
Suppose -2 = -2*d - 0. Let i be (5 + 98/(-21))*9. Suppose i*n - 10 = 5*g, -36*n + 41*n - 2*g = 42. What is the smallest common multiple of n and d?
10
Suppose -82996 - 216236 = 24*l. Let r = -561026/45 - l. Calculate the common denominator of r and -89/100.
900
Let a = -1420 - -680. Calculate the common denominator of 1 and ((-12)/110)/(3684/a - -5).
22
Let o = -54865/4 - -3374161/246. Calculate the common denominator of 11/24 and o.
984
Let z(w) = -2*w**2 - 3*w - 2. Let j be z(-4). Let p = j + 72. Let r(i) = -15*i - 249. What is the smallest common multiple of p and r(-17)?
150
Suppose -5*w = 4*h - 12770, 0 = -4*h - 4*w + 6121 + 6647. What is the lowest common multiple of 1 and h?
3190
Suppose -4*o + 11*o = 385. Let t = o + -46. Suppose 0 = -3*k + t*k - 36. What is the least common multiple of 22 and k?
66
Let b = 5026 + -5006. What is the smallest common multiple of b and 1710?
3420
Suppose -5*y = -0*y - 5, -2*m = -2*y - 30. Find the common denominator of (((-990)/m)/(-11))/(78/(-40)) and 9/5.
130
Let i(n) = n**3 - 5*n**2 + 13*n - 81. Let x be i(33). Let f = x - 11873454/385. Find the common denominator of f and 55/4.
1540
Let j be (6/9 + -1)*0. Suppose j = 6*u - 3*u + 252. Find the common denominator of -9/20 and 338/u + 13/(39/2).
140
Let o = 1007443831/13778580 - -1/1377858. Let l = -457/6 + o. Let f = 285551/22 - 12982. What is the common denominator of f and l?
220
Find the common denominator of 1660/(-16)*(-49)/25480 and -9/44.
4576
Suppose 3240 = 5*v + 10*v + 15*v. Calculate the lowest common multiple of 12 and v.
108
Let j = -104 + 109. Suppose 97 = j*v - 533. What is the smallest common multiple of 30 and v?
630
Calculate the common denominator of -38/813 and 3 - ((2 - 70/(-14)) + (-194)/66).
8943
Find the common denominator of 59/176 and (-1469)/113 + 6001/464.
5104
Let v = 287081924982111/430365079733515 + 52/2213072171. Let m = v + -8/2047. Calculate the common denominator of 71/57 and m.
285
Find the common denominator of ((-4)/96)/(45/3735) and -125/48.
48
Let h(w) = -4*w**2 + 33*w - 25. What is the smallest common multiple of 623 and h(7)?
6230
Let s = -61087/10 + 6104. Calculate the common denominator of -15/92 and s.
460
Let x(d) = d**2 - 7*d - 20. Let i be x(10). Find the common denominator of -74/45 and ((-265)/(-550))/(5/i).
495
Suppose -92*p + 177*p - 50490 = 0. Calculate the smallest common multiple of p and 594.
594
Suppose -4*p - 5*g + 4661 = 0, 3*p - 2821 - 676 = -5*g. Calculate the lowest common multiple of 132 and p.
12804
Let w be (4/(-6) - -1)*24. Suppose -11*p + w*p = -39. Let k = 14 + -7. What is the lowest common multiple of k and p?
91
Let l = 787817 - 1488974069/1890. Calculate the common denominator of l and 167/3780.
3780
What is the lowest common multiple of 71/(-17 - (-4864)/285) and 33?
11715
Let j = -444540/13 - -330736291/9672. Calculate the common denominator of 32/561 and j.
139128
What is the common denominator of 41/26 and 2/((-40)/(365/1600*-5))?
16640
Let m(y) = -51*y + 67. Let j be m(-6). Let r = -359 + j. What is the least common multiple of ((-12)/7)/((-2)/28) and r?
168
Let x(d) = -3*d**3 + 1. Let a = -227664 - -227916. What is the smallest common multiple of a and x(-1)?
252
Let n = 208 + -201. Let u(t) = t - 2. Let w be u(4). Suppose 0 = 4*i - w*i - 18. Calculate the lowest common multiple of i and n.
63
Let j(x) = -x**3 - x**2 - 23*x - 182. What is the lowest common multiple of 228 and j(-5)?
2508
Let n be 1/(-1) + 24/4. Suppose -n*o + u = -361, -37*u + 36*u + 71 = o. What is the smallest common multiple of o and 8?
72
Calculate the common denominator of -2*(-2)/8 + 31856/(-21120) and 127/1230.
4920
Let l = 15997 + -15738. Calculate the least common multiple of l and 1813.
1813
Suppose 1129 = 86*p - 1451. What is the least common multiple of p and (9/6)/(2/212)?
1590
Let i be ((-15)/25)/(3/(-60)*2). Suppose -46*w + 10880 = -i*w. What is the least common multiple of 6 and w?
816
Let y(m) = -m**2 - 36*m - 245