x) = -x**3 - x**2 + 1. Let n(f) = 6*k(f) + s(f). What is the smallest common multiple of 48 and n(-1)?
48
Let v = 10919/3320 + 7/2490. Find the common denominator of v and 91/54.
216
Let a(v) = 57*v**2 - 442*v + 692. Let o = 43 + -27. Calculate the least common multiple of a(6) and o.
368
Let d(s) = 227*s**2 + 269*s - 1. What is the lowest common multiple of 11 and d(2)?
15895
What is the common denominator of (-20076)/33390 - 16/(-24) and -34/33?
8745
Let k(w) = 3*w - 44. Suppose 0*n - 5*n + 167 = 2*q, q = 4*n - 144. Let a = 54 - n. What is the least common multiple of 11 and k(a)?
143
What is the common denominator of -77/34 and 370880/(-905760) + (-8)/(-18)?
1258
Let z(a) = 5*a**2 + 3*a - 4. Let p(n) = n - 4 + 107*n**2 + n - 103*n**2. Let x(v) = -4*p(v) + 3*z(v). Calculate the lowest common multiple of 7 and x(0).
28
Let f(t) = t**3 + 12*t**2 - 54*t - 27. What is the lowest common multiple of f(-15) and 360?
1080
Let m = 511 + -301. What is the least common multiple of m and -9 + ((-10)/(-4))/(-5 + (-315)/(-60))?
210
Let p(m) = m**2 - 6*m - 11. Let n be p(8). Suppose 4*j - j - s + 35 = 0, -65 = n*j - 3*s. Find the common denominator of 121/48 and j/140*(-109 - 0).
336
Let a = 9 + -6. Suppose 1671 - 1683 = -h. What is the smallest common multiple of 4*(-1 - a/(-1)) and h?
24
Let x be (1 - -2)*(-252)/27. Let n = 33 - -1. Let q = x + n. Calculate the least common multiple of q and 33.
66
Suppose -5*r + r + 8 = 0. Find the common denominator of -86*(1236/616 - r) and -40/121.
847
Let i = -231296837/198 + 10351988/9. Let a = i - -17949. Find the common denominator of (-2 - -1)*((-452)/24 + (-66 - -72) + 5) and a.
66
Let l be (-628)/24 - 8 - (-2)/12. Find the common denominator of 99/2 and (l/21)/(95/(-15) - -6).
14
What is the lowest common multiple of (314/15 - (-8)/12)/(30/375) and 210?
1890
Let y be 0 + (6/(-15))/((-2)/10). What is the smallest common multiple of 6/y - (-25 + 25) and 10?
30
Let u = 9369286/175 + -53539. Find the common denominator of u and 1/(-7) + 26/(-84).
1050
Suppose 6*n - 493 + 205 = 0. Suppose -16*u - n + 496 = 0. Calculate the least common multiple of 20 and u.
140
Suppose 136*f - 131*f = -2*c + 939, -c = -4*f - 424. What is the least common multiple of 1808 and c?
1808
Suppose 3*b - 33*b = -180. What is the smallest common multiple of b and 63?
126
Let z(n) = n**3 - 27*n**2 - 29*n + 28. Let u be z(28). What is the least common multiple of u + 110 - (-4)/1 and 14?
798
Let d = -2828 - -3020. Suppose -i = -4*i + 9. Calculate the lowest common multiple of i and d.
192
Let g(f) = 15*f - 16. Let l(c) = -43*c + 48. Let u(k) = 11*g(k) + 4*l(k). Suppose -3*d - 8 = -38. What is the lowest common multiple of d and u(2)?
10
Suppose g + 2 = 5. Let f = -439 - -443. Suppose 5*r + 56 = 4*x, -2*x - f*r + 9 - 7 = 0. Calculate the lowest common multiple of x and g.
9
Let d = 5840 + -5824. Calculate the lowest common multiple of 44 and d.
176
Suppose a + 4 = 29. Suppose -22*p + a*p = 192. Calculate the least common multiple of 40 and p.
320
Let c(q) = -q**2 - 2*q + 4*q + 7*q + 10 + 2*q**2. What is the least common multiple of 27 - (-7 + 11) - 1 and c(-9)?
110
Let c = 0 - 1. Let d = -15377/2 - -7651. What is the common denominator of d and (c/(-2))/(24/(-5))?
48
Find the common denominator of 5/978 and ((-2)/36)/((-288)/(-180) + 1514/(-1965)).
1956
Suppose 1540071 + 270869 = -20*n. Let i = n + 12223777/135. What is the common denominator of 49/27 and i?
135
Let i = 641234 - 23084347/36. What is the common denominator of (26/(-38))/(16/(-2)) and i?
1368
Let o = -145470 + 145474. Let d(q) = q**2 - 2*q - 6. Calculate the smallest common multiple of o and d(6).
36
Let p be -1 - (-1 + 2/(-11035)). Let c = p + 82155553/121385. Let v = c - 679. What is the common denominator of v and -109/10?
110
Let v(d) = 58*d**2 - 87*d - 16. Calculate the smallest common multiple of v(8) and 375.
3000
Let u(s) = 5*s**2 - 16*s - 49. What is the smallest common multiple of 88 and u(-3)?
88
Let l be 3 - 36/16 - (-2996)/16. What is the common denominator of (-1)/(-6) + (-274)/24 and 2/5 + l/(-40)?
20
Let b = -26885/44 - -610. Calculate the common denominator of 89/64 and b.
704
Let v = 48120949/510 - 94355. What is the common denominator of 1/30 and v?
510
Let u = 101137/5440 - 316/17. Find the common denominator of u and 77/96.
960
What is the common denominator of (-204)/45 - (-2 + 2) and (-6250)/(-975) + 16 - 23?
195
Let t be (-96531)/12 - 9/12. Let r = -144769/18 - t. What is the common denominator of (-2 - 0)/(19 + 2) and r?
126
Let b(w) = w - 2. Let c be b(-3). Let q(y) be the third derivative of -y**4/6 - 8*y**3/3 - 22*y**2. Calculate the lowest common multiple of q(c) and 12.
12
Let f(b) = -b**3 - 4*b**2 - 9*b + 6. Let g be f(-7). Let a = -164 + g. What is the lowest common multiple of 14 and a?
364
Suppose 3*b - 2*j - 9 = -6*j, 2*b - j - 6 = 0. Let w be ((-2)/((-12)/9))/(b/10). Let y(d) = -2*d + 13. What is the lowest common multiple of y(w) and 4?
12
Suppose -2560 = -3*s + z + 2336, -2*z + 4905 = 3*s. What is the least common multiple of s and 2?
3266
Suppose -475 = 4*f + 53. Let p = -130 - f. Suppose -3*a = -2*a - 18. Calculate the smallest common multiple of p and a.
18
Suppose 11*k = -5*k + 224. Suppose -3*o - 309 = d, 0 = -5*d + 12 + 3. Let c = 310 + o. What is the lowest common multiple of c and k?
1442
Let k = 50891/17661 + -1/1682. What is the common denominator of k and -73/156?
1092
Suppose -58*a = 158*a - 111456. Calculate the least common multiple of a and 12.
516
Suppose -953*u + 924*u + 638 = 0. Calculate the smallest common multiple of u and 1372.
15092
Suppose -5*z = -117 + 42. Let u(s) = 2*s + 32. Let x be u(-18). Calculate the common denominator of z/x*304/312 and 89/10.
130
Suppose 0 = 5*g + 4*d - 483, -114 = -g - 11*d + 16*d. Calculate the smallest common multiple of g and 1089.
1089
Let k be (-44 - -50)/(4/(-118)). Find the common denominator of (1/(-6))/((-35)/1695) and (k/(-132))/(1/2).
154
Let r = -328/13 - -586/13. Let j = r + 251/26. Calculate the common denominator of 83/220 and j.
220
Let r(f) = 181*f + 149. Calculate the lowest common multiple of 1639 and r(0).
1639
Let o(g) = -g**2 - 53*g + 765. What is the smallest common multiple of o(-45) and 500?
4500
Let q = -22675/24 - -949. Let c = 31/269 + 28225/4842. Calculate the common denominator of c and q.
72
Let l = 4537 + -3852. Calculate the lowest common multiple of 45 and l.
6165
Find the common denominator of -8 + 334104/40110 + (-4)/14 and -99/4.
3820
Let m = -34345/8352 - -1/928. Let u = 623191/20 + -31163. Calculate the common denominator of u and m.
180
Let q(a) = a**2 + a + 72. Suppose 3*f = l - 102, -1074*l + 1077*l - f = 178. Calculate the least common multiple of q(0) and l.
216
Let h(x) = 38*x**2 - 89*x - 1616. Calculate the least common multiple of h(-22) and 20.
187340
What is the least common multiple of 515 and (-19)/(-2) + ((-272)/(-32) - 9)?
4635
Let x = 10 - 6. Suppose -5*q - x*h = 23, -2*q + 5 = -q - 4*h. Calculate the least common multiple of 14 and 18 + (-4 - -1) + q.
84
Let v = -61/396581 + 1619089045/1595445363. Let j be 2 + 1828/(-1788) + -1. Let q = j - v. Find the common denominator of q and 27.
27
Suppose a = 5*j + 176, -37*a + 35*a = 5*j - 352. Calculate the smallest common multiple of a and 64.
704
Suppose -3*c = 0, q - 18*c = -15*c + 372. Calculate the smallest common multiple of q and 24.
744
Let x = -1380 + 19323/14. Calculate the common denominator of 45/838 and x.
5866
Calculate the common denominator of 71/15 and 105/(-70) - 2/(-7176)*5378.
4485
Let w = 1908386687/60 + -31809817. Let c = 3372 + w. Find the common denominator of c and -49.
60
Suppose -i - 52 = -2*i + 4*j, -2*j = 10. What is the least common multiple of i/496 - (-2228)/62 and 48?
144
Let l be (-2)/((-8)/(-12)) - -38. Let g = l - 23. Calculate the common denominator of (g - 8) + 109/(-17) and -49/6.
102
Let j = -8 + 5. Let o = j + 8. Calculate the smallest common multiple of o and (-858)/(-99) + 4/(-6).
40
Suppose -4*l - 9*k + 4*k = -273, -4*k - 166 = -3*l. Let j = -107 - -119. What is the least common multiple of l and j?
372
Let r = -3157 - -94723/30. Find the common denominator of (-9)/246*(18/6)/(-6) and r.
2460
Let t = 41296 + -28396. Let m = 232061/18 - t. Find the