b + 14 = 0. Let g(v) be the first derivative of 9*v**3 - 2*v**2 - 3*v + 24. Find the common denominator of w and g(-1).
1
Suppose -2*u = 2*u - 120. Calculate the smallest common multiple of u and (-1)/((-9)/15 + (-154)/(-315)).
90
Let l = -253771/3 + 85381. Let t = l - 779. Let m = -18057/14 + 1289. Find the common denominator of m and t.
42
Let w(v) = -v + 1. Let q be w(3). Calculate the common denominator of -15/16 and (2/(-4))/(q/25).
16
Let c(t) = -t**3 + 16*t**2 - 24*t - 41. Calculate the smallest common multiple of c(14) and 0/(-1) - (-1 - 26).
135
Find the common denominator of 165/(-10)*(-12)/(-31410) and 9/2.
3490
Suppose 5*m - 1 = -2*f, f - 3*m = -57 + 63. Calculate the lowest common multiple of f and 21.
21
Suppose 3*b + 29 = 11. Suppose 0 = -61*z - 13*z + 296. What is the lowest common multiple of z and 4/1*(-15)/b?
20
Suppose 7*j - 3*j = -4. Let s = 56351/16 - 3519. What is the common denominator of (-235 - j)*(-4)/112 and s?
112
Let i(n) = n**3 + 19*n**2 - 24*n - 24. Calculate the lowest common multiple of 4 and i(-20).
56
Suppose 4*k - 2*o - 464 = 0, -10*o + 322 = 3*k - 5*o. Calculate the lowest common multiple of k and 27.
1026
Let a = -4345/531 + 96/59. Let o(p) = p + 2. Let b be o(-6). What is the common denominator of a and (-381)/14 + b/14?
18
Let d = -22 - -11. What is the common denominator of (d/33)/((-2)/(-22)) and ((-2)/(14/45))/((-26)/91)?
6
Find the common denominator of 63/8 and (-738)/(-36)*3/(-100).
200
Suppose 4*l + 62 = -0*k - 2*k, 5*k = 5*l - 215. Calculate the common denominator of 393/2*1/9 and 26/k + (-1)/156.
156
Let s = 39355/27 + -1457. What is the common denominator of (-224)/(-21) + 147/42 and s?
54
Let c(t) = -t**3 + 41*t**2 - 107*t - 136. Calculate the lowest common multiple of c(38) and 390.
390
Let j be (716/7)/(96/(-784)). Let m = j + 812. Find the common denominator of m and 87/2.
6
Let a be (-34)/(-9) + (-6)/(-27). Suppose -3*n = 2*x + 23, 0*x - 61 = 5*x + a*n. Let i = x + 24. What is the smallest common multiple of 9 and i?
99
Let u(j) = -7*j**2 - 29*j**3 + j**2 + 1 + 28*j**3. Let k be u(-6). Calculate the lowest common multiple of 2 and ((-8)/(-12))/(k/24).
16
Suppose -2 = -m + 1. Let u(q) = 3*q**2 - 2*q + 1. Calculate the least common multiple of u(m) and (-3)/9 - (-50)/6.
88
Let l = -4 + -23. Let c = -15 - l. Find the common denominator of (-1)/c*73 - 3 and -73/18.
36
Let x = 449820 + -2718109/6. Let h = -3187 - x. Let t = 15784 - 284027/18. Find the common denominator of t and h.
18
Let r = -18 - -7. Let t = -284/11 + 24. What is the common denominator of (-3)/r*(-414)/27 and t?
11
Let a = 32 - 10. What is the smallest common multiple of a and 50/5 - 0 - (-5)/(-1)?
110
Let f be 72/10*(-20)/(-6). Let m = f - 8. What is the smallest common multiple of m and 2?
16
Suppose 2 = 3*c - 5*w, 3*c - 4*w - 1 = -0*c. Suppose -2*u = 5*n + u - 55, -n + u = -3. What is the least common multiple of (5/4)/(c/(-8)) and n?
40
What is the smallest common multiple of -8*(-4)/18*(-378)/(-168) and 140?
140
Suppose -6830 = 18*j - 23*j. Calculate the smallest common multiple of j and 12.
8196
Suppose 3*y - k = -2*y + 53, -44 = -5*y - 2*k. What is the common denominator of ((-48)/20)/((-33)/y) and 1/2 - 95/12?
132
Let d be (3/(-1981))/(3/2). Let z = 50743955443413/19810 + -2561532325. Let k = d - z. Calculate the common denominator of k and -33/16.
80
Suppose 2*d + 4*r - 99 = 7, 260 = 5*d + 5*r. Let v = d - 39. Calculate the smallest common multiple of v and 16.
48
Calculate the common denominator of 40/259 and (-38 - -27) + (-1102)/(-84).
1554
Let v = 4509 + -117207/26. What is the common denominator of 16/65 and v?
130
Let v(c) = 2*c**2 - 7*c - 2. What is the common denominator of (-10 - -57)*(-1)/(-7) and v(5)?
7
Let t = 12 + -68. Calculate the smallest common multiple of (t/20)/(1/(-5)) and 10.
70
Let r = 9 + -29. Let g = -2241/2 - -1150. What is the common denominator of g and 322/(-20) + 8/r?
2
Suppose 0 = 12*z - 173 + 29. What is the least common multiple of z and 22?
132
Calculate the common denominator of -11 + 583/55 - 1/(-9) and 82/405.
405
Let v = 204 - 198. What is the common denominator of 322/7*((-9)/v)/3 and 1/2 - 58/(-5)?
10
Suppose -3*r = 3*j - 135, -4*j + 86 = 3*r - 50. Calculate the least common multiple of 8 and r.
88
Let t(m) = -9*m**2 - 102*m. Calculate the smallest common multiple of t(-10) and 36.
360
Let s = -5193 - -228433/44. Find the common denominator of s and -54/121.
484
Suppose 12*h - 193 - 191 = 0. Suppose c = -4*r + h + 11, 1 = -2*r - 5*c. What is the lowest common multiple of 10 and r?
60
Suppose 381*l - 359*l = 33528. What is the lowest common multiple of 18 and l?
4572
Let l(y) = -7*y - 7*y - 1 + 3*y - 8*y. Let n be l(-3). Suppose -2*z + n = 5*p, 0 = -3*z - 6*p + 3*p + 66. Calculate the smallest common multiple of z and 16.
144
What is the least common multiple of 7/(21/246) + 9 + -8 and 7?
581
Let y be 130/(-11) + (-12)/66. Find the common denominator of (-1)/y*57*2 and 61/18.
18
Let t = -1417/670 + -66/67. What is the common denominator of -53/100 and t?
100
Let t(w) = -19*w - 8. Let p be t(5). Let o = p - -536/5. Let v = 9703/6 - 1608. Find the common denominator of v and o.
30
Suppose c = -v + 8, 2*v = -5*c - 30 + 70. Calculate the lowest common multiple of c and ((-6)/(-5))/((-9)/(-120)).
16
What is the common denominator of 8 - (-1)/((-875)/7266) and 41/175?
875
Let l(n) = n**3 - 9*n**2 - 11*n - 4. Let c be l(11). Suppose -7*z = -9 - c. Calculate the lowest common multiple of z and 8.
72
Suppose -42 = -2*x + 4*i, -2*x - 3*i - 42 = -4*x. What is the common denominator of 79/4 and -3 + x/(-6)*5?
4
Let w = -3/14507 - 1639165/609294. What is the common denominator of w and 125/18?
126
Let b be 1426/30*2/(-4). Let c be 108/(-75)*70/(-3). Let u = c + b. What is the common denominator of u and -51/16?
48
Let l = 1513/60 + -597/20. Find the common denominator of l and -43/2.
30
Suppose -h + 0*h = -5, -g + 5*h + 15 = 0. Calculate the least common multiple of 4 + ((-2)/3 - (-1290)/45) and g.
160
Suppose -6*q = 2*q - 32. Suppose 0 = -z + 6*z - q*d - 208, -76 = -2*z - 2*d. Suppose -7 = -m + 1. Calculate the smallest common multiple of m and z.
40
Let g = -2/247 + 4211/1482. Find the common denominator of g and -47/142.
426
Suppose -3*m + 8 = -31. Let j be (-2)/(10/(-45)*3). Calculate the least common multiple of m and (j - (-55)/(-20))*4.
13
Let a = -207 + 109. Calculate the common denominator of 3 + a/8 + 1 and -35/11.
44
Suppose -10*f + 36 + 34 = 0. Let b(c) = 2*c**2 - 13*c + 26. Calculate the smallest common multiple of b(f) and 21.
231
Suppose 26 - 14 = -2*s. What is the common denominator of 305/(-114) - 9/s and 12?
57
Let n = 5350/649 + 5552963/18172. Let l = n + -1277/4. What is the common denominator of 31/7 and l?
7
Let y = 300/307 - -22007/9210. Calculate the common denominator of y and -91/36.
180
Let u = 20 - 5. Let q = 0 + 1. Find the common denominator of q - (57/u + -1) and -26/5.
5
Suppose 5*c = 152 - 97. What is the smallest common multiple of 189 and c?
2079
Let a(p) = -p**2 - 10*p + 9. Let b be a(-11). Let k be b/3*(-21)/(-14). Find the common denominator of 194/(-12)*-3*k and -73/4.
4
Suppose 2*r = -4*s + 40, -4*r + 3*s = -2*r - 47. Calculate the least common multiple of r and 4.
44
Let v = 9892/11 + -1256515/1397. Let z = 6903/2032 - v. What is the common denominator of -23/20 and z?
80
Calculate the lowest common multiple of 6 and 77/3 - 28/(-84).
78
Let w = 15 + -17. Let a(v) = -6*v - 2. Suppose 5*y = 2*h - 5, 5*h - 7 - 28 = 5*y. Calculate the lowest common multiple of a(w) and h.
10
Let x(n) be the second derivative of -n**3/3 + 11*n**2/2 - 4*n. Let j be x(13). What is the common denominator of (-204)/16*(-6)/j and -23/2?
10
Let h = 506233/20 + -25317. Suppose 132 = a - 0*a. Find the common denominator of h and (-34)/a*(-6)/(-2).
220
Let h = 518/451 - -61/41. Calculate the common denominator of -9/4 and h.
44
Suppose 2*m - 19 = 3. Let l = m - 9. Suppose -f - 5*n + 24 = 0, -f + 21 - 5 = n. What is the least common multiple of l and f?
14
Let u = 103 + -99. Suppose 0 = 7*o - 3*o - 40. Calculate the least common multiple of u and o.
20
Suppose -130 = -26*y + 130. Calculate the lowest common multiple of 18 and y.
90
Let g(k) = -k**2 - 7*k + 4. Suppose -f - v - 