 -q**3 - 5*q**2 + 4*q - 8. Let o be (-2)/6 + 104/24. Suppose 0 = z + 5*u - 0*u + 14, -o*z = -u - 7. What is the least common multiple of z and k(-6)?
4
What is the common denominator of (-2)/(28 + -2) - (-3815)/(-45045) and 71/27?
297
Let u(z) be the third derivative of z**4/24 - 3*z**2. Let s be u(4). Calculate the least common multiple of 10 and (s/(-3))/((-4)/48).
80
Let h = 7051/3 + -2326. Find the common denominator of (270/(-1944))/(1/33) and h.
12
Let k = -744 + 23771/32. Find the common denominator of k and 21/44.
352
Calculate the common denominator of ((-5)/120)/(1*(-4)/76) and 71/24.
24
Calculate the least common multiple of 2/5*(-424 + -16)/(-8) and 6.
66
Let o = 44/1255 - 10056776/48945. Let u = -207 - o. What is the common denominator of u and -47/15?
195
Let s = -31 - -35. What is the least common multiple of 27 and (3*s/24)/((-2)/(-4))?
27
Let j(v) be the third derivative of -v**5/60 - v**4/8 - v**3/2 + 3*v**2. Let g be j(3). Calculate the common denominator of (-6)/g + 447/420 and 67/18.
180
What is the common denominator of 80/21 and 221/(-45) + -9*(-2)/6?
315
Let k = 32637/140 + -1670/7. Calculate the common denominator of -29/390 and k.
780
What is the common denominator of 7/4 and -6 + (-329)/(-140) + (-1 - 0)?
20
Let g = -128 - -144. Calculate the least common multiple of 11 and g.
176
Suppose 36*c - 31*c - 3*n - 659 = 0, -2*n = c - 124. What is the smallest common multiple of 26 and c?
130
Find the common denominator of 20/11 and (-1)/(-4)*364/(-47229).
5709
Suppose 0 = 2*m - 13 + 95. Let z = -79/2 - m. What is the common denominator of z and 6/(-16)*132/(-7)?
14
Let i(l) = -l**2 + 9*l + 4. Let n(d) = 2*d**2 + 28*d + 4. What is the lowest common multiple of i(7) and n(-14)?
36
Let i = 13178 + -13168. Suppose -5*w + 4*j = -176, 2 = 3*j - 1. Calculate the least common multiple of i and w.
180
Let l(t) = -t**3 + 14*t**2 + t + 22. Calculate the smallest common multiple of 66 and l(14).
396
Suppose -m + 924 = -5*m. Find the common denominator of -49/11 and 2/(m/89 + 3).
198
Let z = 530 + -63067/119. What is the common denominator of z and -69/34?
238
Suppose s - 55 = -4*c, 0 = -s - 3*c + 5*c + 55. Suppose s = 2*h - 5*l + 2*l, 4*l - 120 = -4*h. Calculate the smallest common multiple of h and 2.
58
Suppose -q - 488 = -5*q. Let a = q + -213/2. Calculate the common denominator of (33/(-9))/11 + (-155)/(-6) and a.
2
Let h = 1252 - 1162. What is the smallest common multiple of 72 and h?
360
Let b be 5/(-10)*(-4 + 50). Let o(c) = c**3 + 5*c**2 - 3*c + 2. Let v be o(-4). Let q = b + v. What is the smallest common multiple of 11 and q?
77
Let c be (-10753)/(-12) - 12/(-48). Let y = c - 920. Calculate the common denominator of 38/27 and y.
27
Calculate the common denominator of (2/(-32))/((-35)/(-315)) and -109/28.
112
Let c be -1 + 41 - 0/2. Suppose 4 = -4*f + c. What is the smallest common multiple of 8 and f?
72
Suppose 0 = -4*j - j + 10. Suppose 0 = j*r - 6*r + 196. Let a = r + -29. Calculate the smallest common multiple of 16 and a.
80
Suppose 0 = o + 2*n - 6, -5*o + 5*n = 2*n - 17. Suppose 0 = 4*j - 2*j + 10, k - 28 = o*j. Calculate the lowest common multiple of k and (3 - 3) + (-28)/(-2).
56
Suppose 4*h - 3*f = 123, 0 = -4*h - f - 3*f + 116. What is the smallest common multiple of 96 and h?
480
Let n = -21 - -41. Let a = 4404 + -4396. What is the least common multiple of a and n?
40
Let p = 322 - 314. What is the lowest common multiple of p and 52?
104
Suppose 3*g = 2*p - 0 + 11, p = -2*g - 2. What is the smallest common multiple of 97 and g?
97
Calculate the least common multiple of (((-4)/6)/2)/(26/(-1404)) and 62.
558
Calculate the common denominator of 28/55 and 9591/1610 + (-3)/(3/4).
770
Let s(u) be the second derivative of -u**3 - 2*u. Let y be s(-2). Let f(b) = -b + 15. What is the least common multiple of f(y) and 2?
6
Let v be -21 - 2 - (-3 - 0). Let i be ((-8)/10)/(v/50). What is the common denominator of 215/i*(-1)/(-30) and -47/6?
12
Let k be 0 - (-2 + -3 + 7) - 8. What is the common denominator of 44/k*-1*3/12 and 118/132 + 4/(-24)?
110
Suppose 2*b - 17 = 15. Suppose -2*z = 4*o - 0*z - b, 3*o + 1 = 5*z. Calculate the least common multiple of 8 and o.
24
Let o = 30 + -94. Let h = o - -82. Calculate the lowest common multiple of 3 and h.
18
Find the common denominator of (-2259)/6930 - 6/14 and 129/70.
770
Let x be (-24)/(-10) - 16/40. Let g = x + 3. What is the lowest common multiple of 10 and g?
10
Let n(d) = 127*d - 1. Let g be n(-1). Suppose 2*v - 2*i - 8 = 0, v - 4*v = 5*i - 28. Calculate the lowest common multiple of (2/4)/((-32)/g) and v.
6
Let t(w) = -6 - 2*w + 4*w + 3. Calculate the least common multiple of t(5) and (4/14 + (-26)/42)*-6.
14
Let r(o) = o**2 - 10*o + 5. Let g be r(11). Let a = g + -13. Suppose 0 = c + 5*q + 4, a*c + c - 68 = q. Calculate the lowest common multiple of c and 14.
112
Let x be ((-32)/(-12))/(4/18). Suppose m = -m + x. What is the smallest common multiple of m and 8?
24
Let u = -232 + 259. Calculate the smallest common multiple of 36 and u.
108
What is the lowest common multiple of (-4 - (-9264)/52) + 4/(-26) and 18?
522
Let a = -455 - -479. Calculate the least common multiple of 28 and a.
168
Let v = 7390 - 295583/40. What is the common denominator of v and -73/35?
280
Suppose 2*n + 5*g - 9 = 13, 0 = 3*g. What is the common denominator of (-675)/48*n/(-33) and -93/10?
80
Let k(v) = v**2 + 9*v + 18. Let f be k(-9). What is the least common multiple of 356/f + 20/90 and 3/(2/(112/12))?
140
Suppose 6*w + 6*w = 132. Calculate the least common multiple of w and 40.
440
Suppose 2*a = -3*a + 15. Let f(g) = 4*g + 4. Let n be f(-7). Calculate the least common multiple of a/((-33)/n - 1) and 5.
40
Suppose -2*w = -11*w + 54. Let i(b) = -2*b**2 + 13*b + 1. Calculate the smallest common multiple of i(w) and (-1)/2 + (-6)/(-4).
7
Suppose 1794 = 75*n - 36*n. Calculate the smallest common multiple of n and 184.
184
Suppose -15 = -0*r - 4*r - w, 2*w - 6 = 0. Let g = -5 + 7. Suppose -50 = -g*t - r*t. What is the lowest common multiple of 6 and t?
30
Suppose 19*b - 168 = 117. What is the smallest common multiple of 27 and b?
135
Let g(j) = -7*j - 3. Let s(f) = f**2 - 1. Let z(w) = -g(w) + s(w). What is the least common multiple of 11 and z(-8)?
110
Let v = -1442 - -1664. What is the smallest common multiple of 5 and v?
1110
Suppose -3*f = -c + 17 + 58, 0 = -4*c - 3*f + 375. What is the lowest common multiple of c and 99?
990
Calculate the lowest common multiple of ((-32)/(1 + 3))/(5/(-15)) and 15.
120
Let j(k) = 5*k**2 - 25*k - 14. Calculate the smallest common multiple of 200 and j(6).
400
Suppose -741*y + 754*y - 52 = 0. What is the lowest common multiple of y and (-11)/2*(-2 - 0)?
44
Let u(w) = -w**3 - 19*w**2 - 17*w + 38. Suppose -19*y + 17*y - 36 = 0. Calculate the least common multiple of u(y) and 72.
360
Suppose -4*i - 5 = -9. Suppose -21*r = -22*r + 3. What is the lowest common multiple of r and i?
3
Suppose -4*g + 3 = 23, 0 = -b + g - 39. Let a be ((64071/(-1440))/(-21))/(14/(-228)). Let f = a - -3/560. What is the common denominator of b and f?
2
Let l = 1166 + -1106. What is the least common multiple of 12 and l?
60
Let k = -75 - -135. Calculate the smallest common multiple of k and 42.
420
Let q = -8063 - -314495/39. What is the common denominator of 63/26 and q?
78
Let f be (-143840)/15 - 1 - (-3)/9. Let l = f - -172663/18. What is the common denominator of l and 2/(-8) - (-167)/36?
18
Suppose x + 4*a - 55 = 0, 0*x = -2*x - 4*a + 90. Let r = -33 + x. Calculate the least common multiple of 8 and r.
8
Suppose -1968 = 5*y - 9*y. Calculate the smallest common multiple of 16 and y.
1968
Suppose -7*p + 0*p = 196. What is the lowest common multiple of (-500)/p + (-7)/(-49) and 12?
36
Suppose -105 = -8*j - 17. What is the smallest common multiple of j and 219?
2409
Let g = -79112696873/1112 + 71144504. Let z = -28/139 - g. What is the common denominator of z and -43/2?
8
Let u = 176 + -172. Calculate the smallest common multiple of 28 and u.
28
Let v(n) = n**3 - 44*n**2 - 39*n - 258. Calculate the least common multiple of 374 and v(45).
2244
Let t(q) = q + 2. Let n be t(0). What is the lowest common multiple of (275/10)/(-5)*-4 and 1 + 12 + (1 - n)?
132
Let t = -34612/3 + 11655. Let n = t 