 c(b) = -2*b**3 + 14*b**2 + 4*b - 7. Let m be c(7). Suppose -8 + 6 = -2*u, 5*u = -n + m. Calculate the lowest common multiple of 2 and n.
16
Find the common denominator of (17 - 8) + (-280)/30 - 194/1200 and -187/1260.
12600
Let l = -147 - -155. What is the common denominator of (116/l)/(14/(-6)) and -39/28?
28
Let y(j) = -j**2 + 678*j + 114. Calculate the least common multiple of y(0) and 1692.
32148
Let h = -1396 - -1405. Calculate the smallest common multiple of h and 984.
2952
Let i(l) = l**2 + 2*l + 8. Let r(x) = -25*x + 95. Calculate the lowest common multiple of i(0) and r(3).
40
Let r = -339 + 350. Let d(v) be the second derivative of v**4/4 - 13*v**3/3 - 11*v**2/2 + 2*v. What is the least common multiple of 14 and d(r)?
462
Let q = 20 + 0. Let s be ((-2)/2)/((-6)/774 + 0). Let w = s - 105. Calculate the lowest common multiple of w and q.
120
Suppose 0 = -5*x + 3*c + 2*c + 12315, -2*c = 5*x - 12315. Let i be x/(-1440) + 6/15. Let r = 23/96 - i. Find the common denominator of 107/22 and r.
220
Suppose 2 = 2*q - 164. Let m = q + -81. Calculate the common denominator of (0 + (-148)/8)*m and 55/82.
82
Suppose 75*g - 4 = 73*g. Let p(x) = -20*x + 44. What is the smallest common multiple of p(g) and 202?
404
Suppose 5723 + 6760 = 331*b + 236. Suppose 8 = -4*z, 0*z = -4*s + 3*z + 46. What is the least common multiple of b and s?
370
Suppose 466 = 16*m - 142. Suppose -t - 2*i = -m, -11*t + 7*t - 4*i + 136 = 0. Calculate the least common multiple of 6 and t.
30
Let x = -1/538 - -20179/2152. Let p be ((-27)/(-6))/(3/12572). Let z = p - 377257/20. Find the common denominator of z and x.
40
Let y(m) = 309*m - 38. Let j be y(3). Let t = -604 + j. What is the lowest common multiple of 5 and t?
285
Let l be (-15398)/(-16) - (-9)/(-24). Let i = 90429/94 - l. Find the common denominator of i and 67/22.
1034
Suppose -2*s + h = -46, 5*h - 6 = -2*s + 28. Calculate the smallest common multiple of s and 8.
88
Let a be -3 + (-8 - -5)*-2. What is the common denominator of (26 + a)/(-26 - 2 - 2) and -97/100?
300
Suppose -5*w - 4 = 11, 22 = 2*u - 2*w. Suppose 2*y - 28 = u. Calculate the smallest common multiple of 20 and y.
180
Find the common denominator of (219/(-60) + 3 + (-10 - -8))/(-1) and 97/30502.
305020
Let q = 359 - 206. What is the common denominator of -91/8 and (q/(-1020))/(((-12)/1010)/1)?
8
Suppose 0 = 4*p + 3*p - 301. Let g = p - -86. Suppose 13*t - 10*t = g. What is the common denominator of 27/2 and t?
2
Let k = 66/337 - 23437/117950. What is the common denominator of -53/195 and k?
13650
What is the common denominator of -155/396 and (-148)/(-36)*20/330?
1188
Suppose 269*n = 303*n - 6528. Calculate the smallest common multiple of 384 and n.
384
What is the common denominator of -1/288 and 92*4/(8064/(-70))?
288
Calculate the smallest common multiple of 9 - ((-5)/4 + 533500/(-400)) and 2688.
2688
Let a(p) = -4*p**2 + 3*p + 2. Let o be a(-1). Let g be o*(-5)/25 + (-8 - -2). What is the common denominator of 13/11 and 2/g - 1408/(-3920)?
539
Suppose -5*v + 2008 = -7737. Suppose -10*f + v = 249. Calculate the lowest common multiple of f and 18.
1530
Let h = -2177 + 1296. Let c = h - 4831. Let t = 79879/14 + c. Find the common denominator of t and -53/6.
42
Suppose 8*g - 900 = 620. Calculate the least common multiple of (-2 + 0/(-1))/(-1) and g.
190
Let o = -26 + 28. Suppose 0 = -5*a + o*c + c - 6, -2*c + 4 = 2*a. Suppose a*x = 10*x - 90. Calculate the lowest common multiple of x and 12.
36
Let b(w) = -2*w + 2. Let x be (-6)/(-2) + (-12)/(-3) + 0. Suppose -40 - 86 = -x*l. What is the smallest common multiple of b(-7) and l?
144
Let q = 15806 + -9062. Calculate the smallest common multiple of q and 8.
6744
Let s be 1/(0 - (-94)/(-1178)). Let i = -130937/10152 - s. Calculate the common denominator of 49/12 and i.
216
Let a = -1793/4 + 8141/18. Calculate the common denominator of a and (-2)/10*(-10)/24.
36
Calculate the least common multiple of 3780 and 4 + 33/(-44)*1552/(-6).
41580
Suppose -4*s + s + 420 = 0. Suppose s*v = 135*v + 50. What is the smallest common multiple of 46 and v?
230
What is the lowest common multiple of 8562 and -8 - (-264)/((-66)/(-6))?
68496
Let b(z) = z**3 + 34*z**2 - 11*z + 39. Let n be b(-32). Calculate the common denominator of (-138)/56 + -2 + 3 and (n/(-504) + 5)*2.
28
Let y = 3781 - 1813. What is the lowest common multiple of 2 and y?
1968
Let p = -7/239 + -2095/1912. Calculate the common denominator of 19/24 and p.
24
Suppose -5*j - 49 = -4*t, -5*t - 13 = -4*j - 72. Suppose -2*s = -312 + 74. Suppose 4*a = -s + t. Calculate the common denominator of -67/8 and a.
8
Let h = 109195/154 - 7780/11. Calculate the common denominator of h and 97/2464.
2464
Let q be 24324/8 - (-2)/(-4). Let o = q - 24277/8. Let f = 601/40 - 333/40. What is the common denominator of o and f?
40
Let i = -5350 - -5730. Calculate the least common multiple of i and 190.
380
Suppose g - 18 = -0*g. Let q(p) = -9*p + 105. Suppose -236*x = -232*x - 44. What is the smallest common multiple of g and q(x)?
18
Let p be 8/(-6)*(-18)/(-6). Calculate the common denominator of 5/2 and (-20)/p - (556/48 + 2).
12
Let b = 20648 - 20550. What is the least common multiple of (-3)/6*(-4 - 276) and b?
980
Let y = -3538 - -3610. Calculate the lowest common multiple of y and 22.
792
Suppose -4*n = -4*i - 4, 0 = -4*n + 13 + 3. Suppose 3*q = 3*z - i, 0 = 5*q - 0*z - 2*z - 4. Calculate the least common multiple of 6 and q.
6
Let i be 284/504*2146/2. Let w = -4288/7 + i. Let l = -18211/5162 - -248/89. What is the common denominator of w and l?
522
Let d = -3563 + 4025. What is the lowest common multiple of 231 and d?
462
Let m = 57 + -31. Let v be 0/(2 - 1) + -19 + 24. Suppose v = 5*o, -l + 5*o = -0 - 5. Calculate the least common multiple of l and m.
130
Let b(r) = 119*r + 984. Let t(k) = -k**3 - 7*k**2 + 5*k - 4. Let z = -8 + 0. Calculate the least common multiple of t(z) and b(-8).
160
Let n(l) = l**3 - 43*l**2 + 52*l + 147. Calculate the smallest common multiple of n(42) and 21.
567
Suppose 15*p = 10*p + 630. Suppose -68 = 3*x + 67. Let n = 65 + x. Calculate the lowest common multiple of n and p.
1260
Calculate the common denominator of -71/9 and (2/7070)/((-126)/7182).
31815
Let h = 2161 + -2065. What is the least common multiple of 984 and h?
3936
Let b(q) = -38*q + 104. Let n be b(3). Calculate the common denominator of -38/109 and (n/105)/(-4*(-6)/72).
763
Let i(a) = a**3 + a + 5. Let l be i(-3). Let c = l + 39. Let q = 95 + -85. Calculate the lowest common multiple of c and q.
70
Let m = 3954079229/12345 - 960901/3. Let a = m + -1/1646. What is the common denominator of 71/56 and a?
280
Let s(t) = t. Let x be ((-14)/4)/(129/(-66) - -2). Let f = 86 + x. What is the lowest common multiple of s(5) and f?
45
Let j(c) = 52*c + 798. Calculate the least common multiple of 118 and j(-4).
590
Suppose 141 = -2*q + 145. Let a = -551/32 - -18637/1120. Calculate the common denominator of a and ((-86)/(-8))/(q/(4/5)).
140
Let f be (2 - 2)*(0 + -1). Let m(s) = -2*s**3 + 5*s**2 + 8*s. Let q be m(4). Let n = f - q. What is the smallest common multiple of n and 12?
48
Let h(i) be the first derivative of i**4/4 - 4*i**3/3 - 5*i**2/2 - i + 17. Let o be h(6). Let v = 55 - o. Calculate the lowest common multiple of 32 and v.
224
Suppose 0 = -z - 2*d - 26, 2*d - 7*d = -z - 12. Let m = -14 - z. Calculate the smallest common multiple of m and (-1)/(36/(-240))*(-12)/(-10).
8
Let q be 5/((-150)/12) - (-54)/10. Suppose 3*s + u - 15 = 0, -2*s + s = q*u + 9. Calculate the least common multiple of s and 28.
84
Let u = -42 + 50. Suppose 2*c + r = 15, 3*c - 25 + u = 4*r. Suppose -c*g + 2*g = -p + 31, p - g = 15. Calculate the lowest common multiple of p and 13.
143
Let x(v) = 4304*v**2 - 2*v - 2. Let s be x(2). Let o = -3787261697307/220092292 - -50/7860439. Let y = o + s. Calculate the common denominator of y and -17/20.
140
Let u(s) = 38*s**3 + s**2 + 12*s - 23. Calculate the smallest common multiple of u(3) and 36.
9432
Let v(n) = -3*n**2 + 6*n - 7. Let z be v(6). Let m = -43 - z. Find the common denominator of m and 2*(435/48 + -3).
8
Suppose 8*i + 15 + 17 = 0. Calculate the lowest common multiple of 59 + (1 - 10 - i) and 12.
108
Suppose -8*s + 10 = -6*s + 2*m, -3*m = -4*s + 6. Calculate t