(q) + 3*x(q). Calculate the lowest common multiple of a and h(-8).
90
Suppose 0 = 4*a - z - 61, -2*a = 5*z - 22 - 3. What is the least common multiple of a and 450?
450
Let k be (-5618)/5 - (-4)/(-10). Let n = k - -10106/9. Calculate the common denominator of n and -58/33.
99
What is the smallest common multiple of (-6)/(-4)*182/39 and 13?
91
Let h = -1/1947 + 13703/144078. Calculate the common denominator of 11/5 and h.
370
Let o(l) = -6*l - 2. Let k be o(-3). Suppose -3*s + 37 = j, -4*s + 51 = 2*j + 5. Let p = k - s. What is the lowest common multiple of p and 6?
6
Calculate the common denominator of -79/207 and 8 + (-2 - ((-1326)/81)/(-2)).
621
Let g = 939/52 + -71/4. Let y = g - -131/39. Calculate the common denominator of y and -27/11.
33
Calculate the least common multiple of 44 and (-614)/(-7) + (-26)/(-91).
88
Let y(i) = -35*i**2 - 7*i + 1. Let a be y(5). Find the common denominator of -20/9 and a/(-30)*15/(-36).
72
Let i = -593 - -1403. Calculate the smallest common multiple of i and 14.
5670
Let f = -219 - -387. What is the least common multiple of f and 60?
840
Let d be (3 - 3)/(6/6). Suppose -i - 6 = -d*i. What is the common denominator of i/33 + (-53)/22 and 131/12?
132
Calculate the smallest common multiple of 630 and (-186)/(-16) - (-3)/8.
1260
Let w = 2940 - 23473/8. Calculate the common denominator of ((-26)/36)/((-6)/(-63)) and w.
24
Find the common denominator of -61/12 and (-265)/105 - 2/(11 + 3).
12
Suppose -s + 57 = 3*b, -b = -3*s + s - 26. Suppose -3*x - 24 = -3*v, 0*v - 4 = 5*x + 4*v. What is the lowest common multiple of b and x/2 - 14/(-1)?
60
Let y(k) = 6*k + 2. Let l be y(1). Suppose 3*o - 4*o - 4*g + l = 0, -o + 2*g = -14. What is the smallest common multiple of 10 and (-3)/o*5*-16?
20
Suppose -6*o + 3*o - 24 = 0. Suppose 0 = 3*j + d + 36, -3*d - 24 = j + j. Calculate the least common multiple of 10 and 24/(3 - j/o).
80
Let v = 308 + -41. What is the least common multiple of 4 and v?
1068
Let d(h) = 5 + 6*h + 4*h**3 - 4*h**3 - 7*h**2 + h**3. Let l be d(6). Suppose l*k = -5 + 45. Calculate the least common multiple of k and 20.
40
Let w be 2 + -2*1601700/56. Let o = 736685/14 + w. Let c = 4579 + o. Calculate the common denominator of 79/16 and c.
112
Suppose 0 = -3*c + 2*f + 47, -2*c + 3*f = -c - 11. Suppose 21*q - 24 = c*q. What is the lowest common multiple of q and 10?
30
Let c = -355/112 + 5/112. Let x = 1/64169 + -4042733/5518534. Find the common denominator of x and c.
344
What is the lowest common multiple of 78 and 7 - 7/(-11 - -18)?
78
Let a = 100925/26 - 1242823/156. Let t = a - -4081. Find the common denominator of -97/18 and t.
36
Let f = -120/133 - -8755/1596. Suppose -3*i + 2*p + 6 = 43, -5*i + 2*p = 55. Find the common denominator of -4 + 2 - 39/i and f.
12
Suppose 7*z - 3*k = 1149, -3*z + 466 = 7*k - 3*k. Calculate the smallest common multiple of 90 and z.
810
Suppose 0 = 2*h + 3 - 5. Let c = -8 + 16. Let o(d) = -d + 12. Calculate the lowest common multiple of h and o(c).
4
Let i = 21 + -3. Let v = i + -20. What is the common denominator of 83/6 and (-112)/204*3/v?
102
Let v(f) = 3*f**3 + 2*f**2 - 2*f + 1. Let u be ((-4)/(-2))/((-14)/(-49)). What is the smallest common multiple of -2 + 11 + u + -6 and v(1)?
20
Let f = -9147445/9 + 1011790. Let d = -4585 - f. Calculate the common denominator of d and 89/24.
72
Let g = 19649/44 + -446. Find the common denominator of 12/11 and g.
44
What is the common denominator of (-12)/(-7)*(-4)/(-10) and -56/125?
875
Let w(c) = -c**3 + 11*c**2 + c - 12. Let x be w(11). Find the common denominator of (-2)/(-8) - 1085/180 and (-154)/12 + x/1.
18
Suppose 169 = j + 128. Calculate the lowest common multiple of 3 and j.
123
Let q be (15513/40)/(15/(-115)). Let r = q - -2973. Find the common denominator of r and -89/20.
40
Let i(r) = -r**3 + 7*r**2 - 5*r. Let q = -68 + 40. Let h = q + 36. Calculate the least common multiple of i(6) and h.
24
What is the least common multiple of 3/(-2)*108/81 + 420 and 190?
2090
Suppose -6*z - 7 = -31. Let n(l) = 15*l**2 + 3*l. Let y be n(-2). Suppose d = 4*d - y. What is the least common multiple of d and z?
36
Let x = -22 + 44. Let n(d) be the third derivative of d**5/60 + 7*d**4/24 - 2*d**3 + 3*d**2. What is the smallest common multiple of x and n(-9)?
66
Let l(g) be the first derivative of -g**2/2 + 3*g - 1. Let c be l(0). Suppose -c*h + 27 = 3*w, h + 0*h = -3*w + 7. What is the least common multiple of 5 and h?
10
Let s = 622 - 466. What is the least common multiple of 24 and s?
312
Let l(u) = -43*u - 1. Let o be l(-1). Suppose -4*p - o = 2*b + b, -60 = 3*b - 2*p. Calculate the lowest common multiple of (-195)/(-27) - (-4)/b and 10.
70
Let p = 17 + -7. Suppose -13*u = 17*u - 240. What is the least common multiple of u and p?
40
Let j = 6157 - 2145. Let o = j + -24125/6. Find the common denominator of o and -73/10.
30
Suppose -2 + 6 = 4*t. Suppose -5*f = t - 6. Let d(b) = -b + 8. What is the smallest common multiple of d(5) and f?
3
Suppose 750 - 785 = -5*b + 5*k, -k = 5. Suppose 53 = -g + 215. Calculate the lowest common multiple of g and b.
162
Let a be 345/391 - (-4 + 1). Let n = 285/34 - a. Calculate the common denominator of n and -35/2.
2
Calculate the common denominator of (162/618)/(-9)*1 and 23.
103
Let i be 296 - ((-14)/18 - 26/117). What is the least common multiple of (i/(-18))/(5/(-2) - -2) and 12?
132
Calculate the least common multiple of 45 and (-22)/(-209) + 1708/19.
90
Let d = 76/207 + -733/138. Find the common denominator of d and -74/99.
198
Suppose 5*g - 14 = i, 2*g = 3*i - 9 - 1. What is the smallest common multiple of 14 and i?
42
Let m = 2423/246 + -2/123. Let h(k) = 6*k + 89. Let n be h(-15). Calculate the common denominator of m and n + (186/24)/1.
12
What is the smallest common multiple of 12*39*(3 + 80/(-32)) and 286?
2574
Let j = 70 - 64. Suppose -5*y + 43 = 3*z, -4*y + 14 = -j*z + 5*z. Calculate the least common multiple of z and 6.
6
Let h = 381 + -361. What is the smallest common multiple of h and 115?
460
Suppose 4*y - 31 = -5*k, k + 6 = 3*y - 3. Suppose -k = -2*a - a. Calculate the least common multiple of a and 36/(-2)*1/(-2).
9
Let c(h) = h + 23. Let i be c(-13). Suppose i = -3*j + 52. What is the smallest common multiple of j and 16?
112
Suppose -4*f - 2*p = -1754, -f = 46*p - 44*p - 431. Calculate the least common multiple of 294 and f.
882
Let v = 8/21 - 11/35. Calculate the common denominator of (45/(-270))/(0 - (-2)/22) and v.
30
Let s(f) = f**2 - 2. Let a be s(-2). Suppose 0 = -a*z + 12 + 24. Calculate the least common multiple of z and 20 - ((-2 - 0) + 4).
18
Let s = 3 + -1. Suppose -k - s*i = -60, -5*i = -3*k - i + 180. What is the lowest common multiple of k and 14/(-4)*168/(-98)?
60
Let i = 18 - 17. Let c(u) = 5*u + 13*u - u**2 + u**2 + 3 - u**2. Calculate the least common multiple of c(17) and i.
20
Let r = 1 + -1. Let y = 584 - 372. Find the common denominator of 45/2 and r + 1/((-56)/y).
14
Let z = -16187033/276 - -58649. Calculate the common denominator of z and -81/230.
1380
Let p be ((-21)/180)/((-2)/193458). Let y = p + -11281. Find the common denominator of (-3)/6 - 122/40 and y.
20
Let y(n) = n**3 + 5*n**2 - 8*n + 15. Let p be y(-7). Let h = p - -27. Suppose 5*g + 2 - 52 = h. Calculate the smallest common multiple of 9 and g.
90
What is the least common multiple of (-42*6/(-48))/((-2)/(-8)) and 49?
147
Suppose -14 = -4*f + 2*v, 3*f = -2*f - 2*v + 31. Suppose f*r - 53501 = -16786. Let k = r - 110101/15. What is the common denominator of -115/6 and k?
30
Let c be (385/98)/(2/8). Let v = c - -459/14. What is the common denominator of 9/20 and v?
20
Let m be (39/9 - 3)/(2/(-3)). Calculate the smallest common multiple of 12 and m/1 + ((-920)/(-5))/8.
84
Let g = 42/143 + 7487/1287. Let n = -13187/4 - -3275. What is the common denominator of n and g?
36
Let m = -588 + 9411/16. Let l = 5 - m. Find the common denominator of l and 105/22.
176
Let f be ((-73)/(-577))/(9/(-67)). Let b = -53/147 + 60721/169638. Let c = b + f. What is the common denominator of c and 25/6?
18
Let i(h) = h - 11. Let p be i(14). Suppose -2*o - 2*f = p*o - 30, 0 = -4*f + 20. What is the smallest common multiple of o and 27?
108
Calculate the common denominator of -71/90 and (-5)/30*(-800)/16.
90
Let w be (-14 - 