a(u) be the first derivative of -u**3/3 + 7*u**2/2 + 16*u + 14. Calculate the smallest common multiple of 7 and a(8).
56
Let y = -145 - 4998. What is the common denominator of (4/(-2))/8 - y/740 and -99/8?
40
Let t(a) = -a**3 + 12*a**2 + 15*a + 17. Let w be t(13). Let p = 18 + -42. What is the least common multiple of 5 and w/4 + (-6)/p?
55
Let b = -264 + 294. Calculate the smallest common multiple of b and 24.
120
Suppose -3*h + 5796 - 16825 = m, -11045 = 3*h + 5*m. Let c = h + 2027. What is the common denominator of ((-3)/8)/(36/c) and 127/18?
18
Suppose -13*u + 17*u + 20 = 0, 5*j - 25 = -u. Calculate the smallest common multiple of j and 156.
156
Suppose 4*o - r - 12 = 0, 3*r = 7*r - 16. Calculate the lowest common multiple of 22 and o.
44
Let b be ((-12)/(-9))/(4/(-6)). Let x(w) = w**2 + 3*w + 3. Calculate the least common multiple of 5 and x(b).
5
Let v = -1411735871989/3206 + 440341823. Let f = v - -36/229. Calculate the common denominator of 81/2 and f.
14
Calculate the lowest common multiple of 172 - 1 - (-4)/(-10)*15 and 120.
1320
Let b = -140424991/942960 + 462/19645. Let n = -448/3 - b. What is the common denominator of -117/10 and n?
80
Let f = 39 + -27. Suppose f = -s - 5*m, s - 4*s = 3*m. What is the least common multiple of 46 and 7 + -2 + (s - 0)?
184
Suppose 2*w = 3*y + 2*y - 14, -y - 11 = -5*w. Let n be 2 + w/((-6)/4). Suppose n = 4*m - 24 + 8. Calculate the least common multiple of m and 26.
52
Suppose -3*y = -0*y - 6. Find the common denominator of ((-4)/(-20))/(-8*y/(-1420)) and -109/12.
12
Let o = 22 - 23. Find the common denominator of o + -2 + 4 + 11/(-38) and 133/6.
114
Let k(i) = i**3 + 2*i**2 - 7*i + 10. Let z(s) = s**3 + 9*s**2 + 6*s + 2. Calculate the lowest common multiple of k(2) and z(-8).
36
Suppose 5*f = 92 - 12. What is the lowest common multiple of f and -1 + (-318)/(-14) + (-12)/(-42)?
176
Let s = 377 + -353. What is the least common multiple of 36 and s?
72
Let q(r) = -283*r - 7. Let i be q(12). Let d be ((-24)/36)/(i/(-3)). Let p = d + -275599/74866. Find the common denominator of p and 49/6.
66
Calculate the least common multiple of 10*6/(-90)*-27 and 4.
36
Let c(z) = z**3 + 4*z**2 + 3*z + 4. Let v = -17 - -19. Suppose 0*p = p - y, 5*p = v*y - 9. Calculate the smallest common multiple of 11 and c(p).
44
Let z(p) = 2*p**3 - 5*p**2 + p + 2. Calculate the least common multiple of -1 + (-72)/(-4) + -1 and z(3).
112
Suppose -8 = 2*z - 3*q, z + 2*q = -0*z + 3. What is the smallest common multiple of 7 and 4 + z*(2 - 1)?
21
Suppose 0 = -0*c + 3*c - 96. Suppose 3*n + 6*v - 7*v = 28, -3*v = 5*n - 28. What is the least common multiple of c and n?
32
Let u be 3/(-7) + (-68915879)/7. Let t = u + 14620011289/1485. Let h = t - -1/135. Find the common denominator of 16/11 and h.
11
Let c = 50849/20538 - -1/2934. What is the common denominator of c and 1908/(-27)*1/28?
21
Let o = -170 + 386. Calculate the lowest common multiple of o and 22.
2376
Let l = -2 - -6. Suppose -24 = -o - 0*o - l*q, 2*q = 4. Calculate the least common multiple of (200/32)/((-15)/(-24)) and o.
80
Let j = 24757/5030 - 11/503. Suppose -r + 393 = -393. Find the common denominator of r/(-16)*(-12)/81 and j.
90
Let z = -13 + 19. Suppose 0 = 5*c + 29*c - 170. Calculate the lowest common multiple of z and c.
30
What is the lowest common multiple of 13 + (25/10 - 5/(-2)) and 474?
1422
Suppose 4*a - 7 = -2*k + 35, 0 = -2*k - a + 51. What is the least common multiple of k and 9?
27
Suppose f - 148*c - 38 = -146*c, -3*c - 42 = -f. What is the least common multiple of f and 249?
2490
Suppose -5*o - 5*x + 35 = 0, 0 = 5*o - 10*o + 2*x + 14. Suppose o*j - j - 33 = 0. Suppose y = -0*y + 1. Calculate the lowest common multiple of y and j.
11
Let z = 704707/24 - 29358. Find the common denominator of -19/12 and z.
24
Suppose -75 = 9*o + 330. Let m = -43 - o. Calculate the lowest common multiple of 7 and m.
14
Suppose -39*v - 23*v + 124 = 0. What is the lowest common multiple of v and 70?
70
Suppose -4 = 2*g + 20. Let l = -766 - -763. Calculate the common denominator of l/g*248/(-22) and -35.
11
Let i = 2597/1640 + 69/82. Let t = -931 - -18639/20. What is the common denominator of i and t?
40
Let j = 6625/8 + -826. Calculate the common denominator of j and 65/34.
136
Let r be (1/(-2))/((-2)/54764). Let j = r + -164399/12. What is the common denominator of j and ((-4)/16)/((-10)/62)?
60
Suppose 3*n - 11 = 5*c, 0*c = 5*n - 5*c - 15. Suppose -3*m + 15 - 3 = -3*v, -8 = -n*m + 4*v. What is the lowest common multiple of -2 + (-7)/((-21)/24) and m?
12
Let l(d) = 5*d**3 - 16*d**2 - 23*d - 46. Let o(n) = -n**3 + n + 1. Let j(c) = -l(c) - 6*o(c). Calculate the least common multiple of j(-15) and 42.
210
Calculate the smallest common multiple of -4 - ((-2)/(-6) + 2628/(-108)) and 68.
340
Let g(a) = 11*a**2 - 4*a - 4. Let h be g(4). Suppose h = 14*l - 18*l. Calculate the least common multiple of 11 and (-1 + -17)*13/l.
66
Suppose 4*z = 3*i - 13, 0 = 2*i + 5*z - 2*z - 20. What is the common denominator of 1/29 and (-53 - i)*2/(-33)?
319
Let x(m) = -3*m**3 + 2*m**2 + 5*m - 7. What is the least common multiple of 42 and x(-3)?
462
Suppose 3*g - 3*r = 5*g - 7, -4*g - 2*r + 10 = 0. Suppose 0 = 4*c - g*c + 8. Find the common denominator of (c/(-18))/(96/342) and -23/20.
120
Let h = 272 - 260. Calculate the least common multiple of h and 10.
60
What is the lowest common multiple of 6 and 1 - -1 - (0 + 3 + -65)?
192
Let g = 408 - 360. What is the least common multiple of g and 8?
48
Let r(i) = i**3 - 4*i**2 - 5*i. Let a be r(5). Suppose a = f - 2*f + 4. Find the common denominator of 111/10 and 1035/12*f/(-54).
90
Let k be 502/22 - (-5 - (-159)/33). Suppose k = 2*c + r - 0*r, 0 = -4*c - 3*r + 45. Suppose 8 + 1 = w. Calculate the lowest common multiple of c and w.
36
Find the common denominator of -149/6 and ((-72)/(-15))/(1785/50 + -6).
198
What is the common denominator of -83/140 and 3/5 - (-13 + (-5787)/(-360))?
280
Let o = -9128 - -912777/100. Find the common denominator of o and 41/2.
100
Let k be (-2)/108*(-2775045)/14. Let p = 3672 - k. Calculate the common denominator of -83/14 and p.
252
Let f(n) = -n**2 - 9*n - 6. Suppose -12 - 2 = b. Let p = b + 10. What is the smallest common multiple of f(p) and 20?
140
Let i = -127/4 + 403/12. Suppose 0*m + 2*m = -5*y + 24, -3*m + 3*y - 6 = 0. Calculate the common denominator of 60/128*(-38)/(-6)*m and i.
48
Let u be (-219)/3 + -1 + (1 - 1). Let x = -54 - u. What is the least common multiple of 14 and x?
140
Suppose -2*g = 0, 14*x = 9*x + 3*g + 540. Calculate the least common multiple of x and 16.
432
Suppose 0 = -5*r - 2*q + 71, r = -3*q + 4*q + 10. Calculate the common denominator of (10/(-40))/(r/(-76)) and -43/9.
117
Suppose 2*t = 3*q + 89, -2*t - 3*q + 91 = 8. Suppose -48*o = -t*o - 15. What is the lowest common multiple of o and 4?
12
Let i be ((-93)/(-2))/((-93)/(-18) - 5). What is the common denominator of i/(-6)*(23/(-11) + 2) and 49/20?
220
Let m = 1549/120 + -278/15. Let i = -42569/6 + 7116. Calculate the common denominator of i and m.
24
Let w(i) = -i**3 + 7*i**2 - 6*i + 6. Let t(q) = q**2 - 16*q + 22. Let o be t(15). Suppose 9*g - o*g = 10. Calculate the least common multiple of w(6) and g.
30
Let d = 34627/11 - 3151. Let q = 1866 - 4350. Let p = q - -14999/6. Find the common denominator of p and d.
66
Let p(o) = 5*o + 7. Let n be p(-2). What is the least common multiple of (-13)/(1*1/n) and 21?
273
Suppose 283 = -5*c + 3*n - 377, -238 = 2*c + 4*n. Let g = 139 + c. Let j(f) = -f**2 + f + 7. What is the lowest common multiple of g and j(0)?
70
What is the smallest common multiple of (-2)/5 + 40/(-25) - -16 and ((-24)/20)/((-6)/20)?
28
Let z = 123 + -41. Let m = -48 + 58. What is the lowest common multiple of z and m?
410
What is the common denominator of 16/36 - (-721)/(-9702) and -139/198?
1386
Let b(u) = -6*u - 10. Let k be b(-6). Suppose -f - 3 = -k. Find the common denominator of 97/2 and f.
2
Let q(i) be the first derivative of 7*i**2/2 + 2*i - 5. Let x be q(-1). What is the common denominator of (x - -6)/(36/118) and -7/18?
18
Let d(i) = -5*i + 33. Let k be d(10). Let n(u) = -2*u - 25. What is the least common multiple of n(k) and 18?
18
Let y(i) = -i**3 + 4*i**2 + 1. Find the common denominator of y(2) and (15 + (