ative of -s**4/4 - s**3/3 + s**2/2 - s + 12. Let z(g) = -g - 3. Let y be z(0). What is the least common multiple of r(y) and 20?
140
Let r(x) = -x**3 - 8*x**2 - 30*x + 22. What is the least common multiple of 12 and r(-7)?
732
Let v = -2803/1040 - 1/208. What is the common denominator of 61/364 and v?
1820
Let x = 67 + -110. Let t = -93749/10 + 9364. Calculate the common denominator of t and (-1)/(-6)*(x - -8).
30
Let h = 10261 - 225807/22. Calculate the common denominator of (-20)/8 - 4/32 and h.
88
Let i = 27 + -85. What is the smallest common multiple of 2/(-9) + (6 - i/18) and 41?
369
Let d(f) = -f - 1. What is the least common multiple of (-73)/146 + (-26)/(-4) and d(-3)?
6
Let p(f) = f. Let a be p(-6). Let k be a/(-36) - 19846/(-1344). Let q = k - 279/32. What is the common denominator of q and -107/20?
140
Let k = 4 - -4. Calculate the least common multiple of 14 and k/48 - (-238)/12.
140
Calculate the common denominator of (812/(-56))/((-84)/(-9)) and 5/16.
112
Let q = 62/39 + -2228/273. Let d = 13 + -10. Calculate the common denominator of q and (-83)/d*(-27)/90.
70
Suppose h + h = -20. Let d = 17 + h. Suppose -2*c = -5*g + 36, 1 - 19 = -5*g - 4*c. What is the smallest common multiple of g and d?
42
Calculate the common denominator of -55/6 and 736/(-24)*3*2/420.
210
Let f be 2/9 - (4780/(-36) + 2). Suppose 5*w - f = l, 3*w - 44 - 35 = l. Calculate the smallest common multiple of w and 10.
130
Let n be (-2 - -2) + (-7393214)/3670. Let k = n - -477/367. Let d = -2021 - k. What is the common denominator of d and 67/14?
70
Find the common denominator of -81/8 and (-873)/(-540)*(-3)/2.
40
Let g(l) = 9*l**2 + 5*l - 52. What is the least common multiple of g(5) and 16?
1584
Let v be 136/2*(0 + -12). Let q = -535955/2 - -2404486/9. Let j = q - v. Calculate the common denominator of 97/44 and j.
396
Let q(o) = -o**3 + 6*o**2 + 7*o - 9. Let p be q(7). What is the common denominator of (-652)/(-48) - p/(-12) and 110/4 - (1 - -4)?
6
Let g(z) = z**3 + 13*z**2 - 16*z - 16. Let l be g(-14). Find the common denominator of -10/19 and (-1)/(-3) + 95/l.
76
Let x = -22862045/1558 + 656084/41. Let w = -1327 + x. Let z = 475 + -3787/8. What is the common denominator of z and w?
152
Let g = 30007/240 - 1858/15. What is the common denominator of 41/2 and g?
80
Calculate the least common multiple of 44 and (1/(-4) - -1)/(12/16).
44
Suppose 2*g + 3*g = -4*o - 20, 16 = 2*o - 4*g. Suppose o = -16*z + 11*z + 80. What is the least common multiple of z and 2?
16
Suppose 70*b - 72 = 62*b. Let x = -7 - -5. What is the lowest common multiple of b and (-6)/1*1/x?
9
Let x be (6/8)/(9/(-6)). Let v = 11/58 + x. Find the common denominator of v and 61/5.
145
What is the common denominator of 2 + 0 + (-22)/(-12) and (-3*(-109)/30 - 4) + 2?
30
Suppose -134 = -2*q - 2*n, 4*q + 29 - 270 = 5*n. Calculate the lowest common multiple of q and 40.
320
Let s(t) = -2*t + 56. Suppose 0 = 5*c + 9 - 24. Calculate the least common multiple of s(25) and c.
6
Let x = 163 + -87. What is the common denominator of (-285)/x*(-12)/(-190) and -145/18?
342
Let r be (-264)/56 - 4/14. Let i(v) = v**2 - 6*v + 1. Let b be i(6). Calculate the common denominator of -34/5 and (-21)/(-2)*b/r.
10
Let k(o) = -o**3 - 27*o**2 - 26*o + 4. Suppose -s = 2*s - 99. Suppose 5*w = 12 + s. Calculate the least common multiple of w and k(-26).
36
Suppose m - 4*m = -180. What is the common denominator of -13/74 and m/(-45)*48/22?
814
Let i(b) = 4*b**2 - 2*b + 3. Let j = -22 - -33. Calculate the least common multiple of j and i(1).
55
Let h(p) be the third derivative of p**6/120 + p**5/60 - p**4/24 + 9*p**2. Calculate the lowest common multiple of h(2) and 10.
10
Let d = 188 - 757/4. What is the common denominator of 127/6 and d?
12
Suppose 0 = 5*k - 214 - 116. What is the least common multiple of 11 and k?
66
Let x = 80559/3230 + 222/85. Let y = x - -94/19. Calculate the common denominator of y and -1 + (-202)/28 - -1.
14
Suppose -15*l = -13*l - 4, -v + 9 = 4*l. Calculate the lowest common multiple of 11 and v.
11
Suppose -5*a = -q + 408, 3*q - 6*q = -3*a - 252. Find the common denominator of 16/28 - (3412/(-448) + 3) and a/30 - 6/15.
80
Find the common denominator of 125/282 and 662/132 - 50/275.
282
Let c = 575 + -547. What is the least common multiple of c and 544?
3808
Let a = -437251/33 - -13248. What is the common denominator of a and -19/105?
1155
Suppose 0 = 4*l + 3*r + 47, -3*l = -2*l - 4*r + 7. Let d(w) = w + 25. What is the least common multiple of 12 and d(l)?
84
Let f = 56 - 56. What is the common denominator of 57/22 and (11/72 - f) + 27 + -26?
792
Let w = -60 + 34. Let q = w + 8. Calculate the smallest common multiple of 5 and (-183)/q - 2/12.
10
Let a = 696 - 471. What is the smallest common multiple of a and 250?
2250
Let j = -133425 + 13075535/98. Calculate the common denominator of -151/42 and j.
294
What is the common denominator of 58/8*((-66)/30)/(-11) and -25/16?
80
Suppose -38*s + 33*s + 155 = -5*d, 3*s + 2*d = 73. Calculate the smallest common multiple of 72 and s.
216
Suppose 0 = 5*b - 4*b - 24. Suppose 0 = 3*r - r + b. Find the common denominator of ((-153)/r)/((-28)/16) and 39/10.
70
Suppose -4*o + 2*x - 6 = 2, -3*o + 3*x - 9 = 0. Let m be (o - 534)*(-3)/3. Find the common denominator of (-6)/(-21) + m/(-84) and -85/8.
24
Suppose -3*x = -2*x - 40. Let u be (16/20)/(23/345). What is the common denominator of (-475)/x*u/10 and 39/22?
44
Let i(n) = -2*n - 9. Let o be i(-4). Let p be (2 - -5)*(2 + o). What is the least common multiple of 14 and 24*((-105)/(-20))/p?
126
Let g(j) = -8*j + 2. Let p be g(-17). Let i be 2/4 - p/(-12). Suppose -14*q + i*q + 8 = 0. What is the least common multiple of q and 8?
8
Calculate the lowest common multiple of 72/(-4)*4/(-9) and 20.
40
Let g = -33 - -38. What is the lowest common multiple of 9 and g?
45
Let r(j) = j**3 - 7*j**2 + 1. Let w be r(7). Calculate the common denominator of 1*(w - -25) - 1 and 32/7.
7
Let f = -2761285/77 + 35860. What is the common denominator of -48/77 and f?
77
Suppose 5*i + 110 = 16*i. Let y(v) = -v**3 + 7*v**2 - 6*v + 9. Let w = 11 - 5. Calculate the least common multiple of i and y(w).
90
What is the common denominator of ((-36)/20 + -2)*(-15)/(-444) and -79/24?
888
Let n(y) = y**3 - 10*y**2 - y + 4. Let o be n(10). Let s = 4 - o. What is the lowest common multiple of 10 and s?
10
Suppose -6*o - 6*o + 120 = 0. Calculate the least common multiple of 177 and o.
1770
Suppose -8*x = 3*x. Suppose 2*r + 5*k = 6*k, 5*r - 4*k + 6 = x. Calculate the least common multiple of 2/(-16)*-14*4 and r.
14
Let j(z) = -z**2 - 23*z - 44. Calculate the smallest common multiple of 254 and j(-20).
2032
Suppose -2*q + 12 + 0 = 0. Let j(n) = 4*n**2 - 7*n + 5. Calculate the smallest common multiple of q and j(2).
42
Let f be 5 - (-1 - 6/3). Let p(o) = -o + 5. Let t be p(3). Calculate the smallest common multiple of 4 and f + ((-6)/t)/3.
28
Let n = 2853 + -11483/4. What is the common denominator of n and -181/270?
540
Let v be (-8)/(-1) - 9/3. Let u(d) = -d**2 + 19*d + 20. Let h be u(20). Suppose v*c - 90 = -h*c. What is the smallest common multiple of c and 14?
126
Let w be (-4)/(-22) + 7/(385/5050). Let l = w + -64. What is the lowest common multiple of l and 8?
56
Let t(p) = p**3 - 9*p**2 + 3. Suppose -21 = -2*h + 3*d, -h + 2*h - 3*d - 12 = 0. What is the lowest common multiple of 4 and t(h)?
12
Let l(c) = -c**2 - 8*c - 6. Let i be l(-7). Suppose f = i + 1. Let b = 2 + 0. What is the lowest common multiple of b and f?
2
Let m = 3707/73 + -1857889/36792. Calculate the common denominator of m and -50/21.
504
Suppose -2*x + 178 = 2*q, 0*q + q + 5 = 0. Suppose -x*d - 64 = -98*d. Calculate the lowest common multiple of d and 6.
48
Let v(a) = a**2 - 7*a - 6. Let z be v(8). Suppose -i + 16 + 4 = 3*d, z*i - 24 = -4*d. What is the lowest common multiple of d and 34?
136
Suppose 4*b + 3*v - 5 = 6*v, -b + 2*v = 0. Find the common denominator of -131/6 and 46/40 + (-1)/(b/8).
60
Let j(m) = -m**3 + 14*m**2 + 4*m - 6. What is the least common multiple of j(14) and 36?
900
Let w = 38 + -34. Suppose 0 = w*r + 3*r - 28. What is the least common multiple of (2/(-4))/((-1)/20) and r?
20
Suppose 1 = l + 2. Let w be -52*(l - 0) + 1. Suppose 5*s = 133 - w. Calculate the