be the first derivative of c**4/4 + 2*c**3 + c**2/2 - 20*c - 1. Let b be (-7)/2*(8/20 - (-26)/35). Calculate the lowest common multiple of d(b) and 8.
8
Calculate the common denominator of -1 + (-13 - (5 + (-84518)/4410)) and 73/2475.
17325
Suppose -17*z + 20*z - 36 = 0. Suppose -2*o = -3*l + l + 1482, -3*l = -z. Let g = -1381/2 - o. What is the common denominator of g and -105/58?
58
Suppose i - 4 = 8. Let s = -92 - -86. Let f(y) = -2*y**2 - 14*y + 8. Calculate the smallest common multiple of i and f(s).
60
Let n = 2/456375 + -35142323/330415500. What is the common denominator of -13/6 and n?
2172
Calculate the common denominator of -22/133 and (45/(-924))/((-46)/368).
1463
Let c = 38423/9 - 4262. Suppose 4*r + 162 = 170. What is the common denominator of 966/495 + r/11 and c?
45
Calculate the common denominator of -44/867 and ((-3)/(-12))/((-50490)/18720).
9537
Let q be ((-4)/(-8))/((-10)/(-40)). Suppose w + 62 = 3*t + t, t - q*w = 19. What is the least common multiple of 55 and t?
165
Let o(v) = -v**2 - 47*v + 49. Let w be o(-48). Find the common denominator of -21/130 and -3 - w - ((-448)/(-72))/8.
1170
Suppose 39 = -14*q - 19*q + 369. Suppose 5*b + f = -3*f + 270, 5*f = -5*b + 275. Calculate the lowest common multiple of b and q.
50
Calculate the smallest common multiple of ((-11)/(44/128))/((-4)/46) and 9.
3312
Let p be 1/5 + (-476)/(-20). Suppose 106*o - 84*o = 220. Calculate the lowest common multiple of (1 + 4)*p/15 and o.
40
Let v(c) = -c**2 - 14*c - 13. Let p(g) = g. Let a(w) = 2*p(w) + v(w). Let x be a(-11). Calculate the least common multiple of 3*x/(-5)*(-1500)/(-18) and 22.
1100
Let p = 15977221/1745 - 9156. What is the common denominator of -21/25 and p?
8725
Let z(u) = 581*u - 1. Let g be z(1). Calculate the common denominator of 33/14 and (-7 - g/56)/(-33).
154
Suppose 91*x = 86*x - 3675. What is the common denominator of 33/86 and (x/330)/(2/4)?
946
Let c be (-12)/2 + 3 + (4 - -2). Suppose -31 + c = -7*o. What is the least common multiple of (8 - 2)*2/o and 42?
42
Let a be (-3)/4*2*-102. Suppose 310*s - 375*s + 2730 = 0. Find the common denominator of a/s*(-16)/12 and -23/9.
63
Let i(k) = -3*k**3 - k. Let c(z) = 13*z**3 - 31*z**2 + 58*z + 110. Let t(b) = -c(b) - 4*i(b). What is the lowest common multiple of 64 and t(29)?
192
Let j be ((45/12)/(-5))/(3/(-4188)). Suppose 0 = -4*t - 5*p + 1029, -10*t + 14*t - p = j. What is the least common multiple of 3 and t?
261
Let j(r) = r**3 - 10*r**2 + 10*r + 17. Let d be j(7). Let p be (-10040)/d + (-1)/6*-4. What is the least common multiple of 11 and 24/40 - p/(-20)?
99
Suppose 0 = 26*v - 3*v - 3509 - 5461. What is the lowest common multiple of v and 30?
390
Let m(u) = -6*u - 7. Let x(a) = 2*a**2 + 9*a - 8. Let o be x(-5). Let w be m(o). Find the common denominator of -38/33 and 2/(w/(4983/72)).
132
Let a(d) = d + 6. Let z(h) = 4*h + 19. Let n(p) = 7*a(p) - 2*z(p). Calculate the smallest common multiple of n(-11) and 27.
135
Let x be -3 - ((-14)/105 + (-4)/(-30)). Calculate the common denominator of x - ((-87)/(-15) - 4/10) and -93/10.
10
Let n(b) = -4370*b**3 + 2*b**2 - 28*b - 30. Calculate the least common multiple of n(-1) and 4370.
4370
Let f = -68856 + 28743. Let q = 191576066 - 4598788147/24. Let g = f - q. Calculate the common denominator of -7/4 and g.
24
Let m(f) = 3*f + 299. What is the smallest common multiple of m(8) and 170?
3230
Suppose 0 = -2*b - 3*c + 472 - 325, -b = 3*c - 75. What is the smallest common multiple of b and 312?
936
Suppose -k + 5*b + 12 = 0, 52 = 2*k - 3*b + 7. What is the smallest common multiple of k and (-35)/(-28)*32 + -13?
27
Let h = 8 - 3. Suppose -5*q - 69 = 3*r + 441, 3*q = h*r - 306. Let k = 152 + q. What is the least common multiple of 18 and k?
450
Let a = -13/22 - -47/11. Let q = -19010/19 - -378889/380. Find the common denominator of q and a.
220
Let u be 13/(117/(-209673)) + 3*1. Let t = 1397747/60 + u. Calculate the common denominator of 77/16 and t.
240
Suppose -3*h = -z + 2*h + 130, 3*h + 138 = z. What is the smallest common multiple of 615 and z?
6150
Let q = -23340 - -13583831/582. Calculate the common denominator of q and 16/33.
6402
Let o = 292 - 298. Let b = -10/131 + -5875/262. Find the common denominator of b and 105/(-126) + 118/o.
2
Calculate the lowest common multiple of 2010 and -18*((-21 - -26) + 11/(-2)).
6030
Let g be (24/(-20))/2 - 23/(-5). Suppose d = -4*p - 0*p + 20, 0 = -g*d + p + 97. Calculate the least common multiple of d and 6.
24
Let z = 9802 - 9704. What is the least common multiple of 70 and z?
490
What is the common denominator of 38/411 and (2/(-72))/(((-4)/78)/(-20 + 25))?
3288
Let o = -817/162 - 109/81. Calculate the common denominator of o and (-4)/40*(191/3 + (-12)/2).
90
Suppose -3*w - 15 = -69. What is the least common multiple of ((-75)/(-50))/(1/10 + 0) and w?
90
What is the lowest common multiple of 11 and (11 + 11 + -741)/(4 - 5)?
7909
Let a = -17464 - -3981779/228. Calculate the common denominator of 85/627 and a.
2508
Suppose -1 + 51 = 5*i. Let s = i - -10. Let l(n) = n**3 + 3*n**2 - 2*n + 2. What is the lowest common multiple of s and l(-3)?
40
Let a = 4209385/183 + -23002. Find the common denominator of 17/9 and a.
549
Let j = -21282009/340 - -62594. Find the common denominator of 21/58 and j.
9860
Let n = -291/10 + 2261/60. What is the common denominator of 2426/(-304) + -4 + -2 + 1856/304 and n?
24
Let m = 126128720/147725703 + -2/863893. Let j = m + 16/9. What is the common denominator of j and 55/42?
798
Let z = 472 + -478. Find the common denominator of 101/28 and 1221/672 - (240/(-42) - z).
224
Let q = 894923/76984 + 2/9623. Calculate the common denominator of 137/60 and q.
120
Let c = 26649417/20710 - 24450/19. Calculate the common denominator of -21/40 and c.
4360
Let i = 496189/660 - 8303/11. Calculate the common denominator of 107/198 and i.
1980
Let s = -96 - -76. What is the common denominator of 1/(-5) + (-46)/s and 3/15 - 17/110?
110
Calculate the least common multiple of (32/10)/(-4)*(4 - 424/16) and 1104.
3312
Suppose -443*w = -440*w - 6. What is the common denominator of (-1 - -1) + w - 80/(-144) and -29/6?
18
Suppose -u + 2*u = 5*l + 12, 0 = -5*u - 2*l - 21. Let r be (1/(-1))/((-3)/156) + u. Suppose 0 = 4*b + 3*b - r. What is the least common multiple of b and 9?
63
Suppose 0 = 2*c - 78 - 20. Calculate the common denominator of (18/(-60))/(-1)*c/3 and (53/(-6))/((-33)/(-9)).
110
What is the lowest common multiple of 48 and (1026/38)/(1/24 - (-3)/9)?
144
Suppose 42 = 36*d - 33*d. Suppose 6*v - 8*v - d = -f, -4*v + 12 = 2*f. Suppose -33 = -3*s + x, s = -0*s + 4*x. What is the least common multiple of f and s?
60
Let i(q) = 2*q + 53. Let d be i(-25). Suppose -2*s - 54 = -7*v + d*v, 0 = -2*s + 10. Find the common denominator of -151/6 and (-3 - -1) + (-134)/v.
24
Let k(v) = v**3 + 14*v**2 + 4. Let j be k(-14). Suppose -3*s - j = -7*s. Find the common denominator of (s/(-15))/((20/35)/4) and -67/21.
105
Suppose 3*g = -p - 3, 2*p - 7*p + 4*g + 4 = 0. Suppose 69*f - 65*f - 192 = p. What is the lowest common multiple of 60 and f?
240
Let s(y) = 3*y**2 + 179*y + 2090. Calculate the lowest common multiple of s(-11) and 10.
2420
Let a = -376181/33 - -11398. Let l be 6/15 + (-63220)/157925. Let z = l + 195905/246363. Calculate the common denominator of z and a.
429
Suppose 0 = -4*n + x + 65, 57 = 2*n + 474*x - 471*x. Calculate the smallest common multiple of 28 and n.
252
What is the common denominator of -40/7 and (2 + (-2755)/1484)*(-244)/1098?
2226
Let d = -3/1178 - -18277/7068. Let m be ((-8)/(-12))/(1/900). Suppose 0 = 14*k + k - m. Calculate the common denominator of k and d.
12
Suppose -h = 3*c + 2057, -5*c + h = 2988 + 443. Let l = -7595/11 - c. Find the common denominator of 53/39 and l.
429
Let a be ((-2)/4)/(1/(-1100)*5). Suppose a - 2 = 9*l. Calculate the least common multiple of (2 + 1 - 6)*-5 and l.
60
Calculate the smallest common multiple of 65 and 280/2 - (-77)/(1078/(-140)).
130
Let a = 851 - 487. Let j = a + -387. Calculate the common denominator of 77/20 and j.
20
Suppose 2*g + 32 = 4*g. Let i(p) = -p**3 - 15*p**2 + 35*p + 37. Suppose 0 = 29*k - 17*k + 204. What is the least common multiple of g and i(k)?
80
Let j be ((-3)/4)/(-3) - (-1835307096)/(-306720). Let b = 