 10. Suppose 5*a - 31 + 6 = 0. Let n(d) = -d - 5. Let z(f) = a*n(f) + 2*j(f). What is the least common multiple of z(6) and 2?
2
Let c be -1 - (3 + -1 - 7). Find the common denominator of 67/10 and (505/1625)/(c*(-1)/(-10)).
130
Calculate the common denominator of 23/16 and 66/(-1088)*(-48)/(-16).
544
Let x = -26461/214136 - -1/3016. What is the common denominator of x and 53/2?
284
Let h be (-4)/(-8)*0/(4/(-2)). Calculate the common denominator of -3 + -20 + h + 2/(-3) and -53/36.
36
Let g(y) = y**2 + 10*y - 7. Let s be g(-17). Suppose 2*h = -5*h + s. What is the smallest common multiple of 4 and h?
16
Let s = 539 + -463. Calculate the smallest common multiple of 22 and s.
836
Let w = 144 + 30. Suppose w = 7*y - 57. Calculate the lowest common multiple of 33 and y.
33
Let o = 30592 - 2906281/95. Calculate the common denominator of 37/25 and o.
475
Let a be (-1)/2 - 76/8. Let d(f) = -3*f**2 + 12*f - 3. Let g be d(5). Let m = a - g. What is the lowest common multiple of 18 and m?
72
Suppose 3*i = -0*i + 1782. Calculate the common denominator of 69/10 and (-4)/10*i/24.
10
Let u be 1*((1 - 0) + 2). Suppose -6 - 6 = u*z. What is the common denominator of 1*(-1)/z*-3 and -87/14?
28
What is the common denominator of (115*4/5640)/((-2)/(-4)) and 76/27?
1269
Let h be (2/(-4))/(3/(-60)). Let t(g) = -g**2 + 5*g + 12. Let v be t(6). Let n = h - v. Calculate the least common multiple of 14 and n.
28
Let g be 11838/4*(-1776)/36. Let f be g/2926 - (-10)/35. Let v = f - -858/19. What is the common denominator of v and 56/11?
11
Let w = 2 + 2. What is the lowest common multiple of 20/w*1/1 and (18/7)/((-26)/(-91))?
45
What is the common denominator of -11/2 and ((-4788)/(-972))/((80/(-6))/(-2))?
180
Let y(z) = -z**3 - 4*z**2 + 5*z - 1. Let b be y(-5). Let r be b/(-6) - 22/(-12). What is the least common multiple of (-3)/r*(-8)/6 and 1?
2
Let h = 477/5 + -39651/415. What is the common denominator of 22/3 and h?
249
What is the smallest common multiple of 0/2 - (-2 - 68)/2 and 28?
140
Find the common denominator of (-5785)/(-455) + (-9)/2 and ((-25)/(-24))/(2/(-3)).
112
Let k(c) = -c**3 + 9*c**2 + 12*c. Let h = 18 + -6. What is the smallest common multiple of k(10) and h?
60
Suppose -o + 2 = 5. What is the least common multiple of (-6)/(-4)*(-20)/(-3) and (-90)/27*(0 + o)?
10
Let g(a) = a**2 - 4*a - 6. Let o be g(-3). Let p = 3 + o. Calculate the smallest common multiple of p and 20.
180
Suppose 6 + 174 = 9*z. What is the lowest common multiple of z and 6?
60
Suppose -2*k - 758 = 2*h, -7*h + 1476 = -4*k - 3*h. Suppose 2*d - d + 24 = 0. Find the common denominator of (k/d - 3) + -1 and -55/8.
24
Let a(t) = -15*t - 23. Calculate the lowest common multiple of a(-2) and 8.
56
Let p = 3085/8 + -386. Let k be 1*-284*(-4)/8. Let a = 367/2 - k. Calculate the common denominator of p and a.
8
Let t = -6428 + 51503/8. Let k = 25 + -49. Calculate the common denominator of (-105)/k - (-2)/(-8) and t.
8
Let j(m) = -2*m - 2. Let x be j(-2). Let r be ((-96)/12)/(2/x). Calculate the common denominator of 2/r + (-329)/56 and 45.
8
Suppose o + 13*z - 9*z = 10, 30 = 3*o - z. What is the smallest common multiple of o and 6?
30
Let y be 252/66 + 2/11. Let o(z) = z**3 - 3*z**2 + z. Calculate the lowest common multiple of 16 and o(y).
80
Calculate the common denominator of (-4028)/3762*(-6)/(-4) and (-1)/18 - (1 + -1).
198
Suppose 0 = 2*c - 61 - 103. Suppose c = 4*q - 38. What is the common denominator of ((-40)/(-125))/(4/q) and 41/18?
90
Suppose -5*f + 491 - 1316 = 0. Let s = f - -1816/11. What is the common denominator of 7/2 and s?
22
Suppose 0 = -2*p - 4*x, -3*p + 7*p = -4*x. Suppose 2*z - 50 = 3*h - 8*h, p = 2*z + h - 42. Calculate the smallest common multiple of z and 2.
20
What is the common denominator of 123/(-132)*-4 - (-3)/6 and -1/8?
88
Suppose 5*y = 4*w - 4 + 52, 20 = 2*y - 2*w. Let d(t) = 5*t + 32. Calculate the smallest common multiple of d(-2) and y.
88
Suppose 6*t + 3*s - 12 = 5*t, 0 = 3*t + 2*s - 29. Calculate the smallest common multiple of t and 24.
72
Let j(u) be the first derivative of 2*u**3/3 - u**2 + 1. Let i = 197 - 193. Calculate the lowest common multiple of j(i) and 8.
24
Let i be 1 + 906/4 + 4. Let x = i - 183. Find the common denominator of 65/6 and x.
6
Let i = 169 - 65. What is the smallest common multiple of i and (0 - -10)*(-20 - -21)?
520
Let g = 385967/22 + -17541. Let d = 503901/62 - 8128. Let w = d - -2/31. Find the common denominator of g and w.
22
Let p be ((-5)/10)/(1/(-8)). Let b be (-159)/(-7) - p/(-14). Suppose n - 3*f = 15, 5*f + b = 3. Calculate the least common multiple of 5 and n.
15
Suppose 163 = 9*j - 26. Suppose -p - 53 = -2*m - 2*p, 3*p + 105 = 5*m. What is the lowest common multiple of m and j?
168
Find the common denominator of -27/20 and (-16)/(-4) - ((-5)/8 - 1).
40
Calculate the common denominator of 83/(-4) + (-5555)/(-1010) and (-1)/(-12)*(-39)/(-8).
32
Suppose -2*o - o + 240 = 0. Suppose 7*y = 5*y + o. Let k = 20 - 10. Calculate the lowest common multiple of k and y.
40
Suppose 5*b - s - 106 = 0, 2*s = -3*b + 5 + 69. Calculate the smallest common multiple of 6 and b.
66
Let w(t) = t**3 - 11*t**2 + 10*t + 5. Let m be w(10). Suppose r = -m - 9. Calculate the lowest common multiple of 8/(-24)*r*3 and 9.
126
Suppose -9*a + 4 = -7*a. Suppose a*j - 5 = 27. Calculate the lowest common multiple of j and 6.
48
Let m = 561/5 - 8229/70. Find the common denominator of (-407)/20 + (-4)/10 and m.
28
Let h = -3/4153575970 - -12640162417389/35284627865150. Let f = h + 3/1699. What is the common denominator of -25/11 and f?
275
Suppose -3*t + 572 = 5*s + 188, 2*t + 4*s = 256. What is the least common multiple of 100 and t?
3200
Let z(i) = -i**2 + 7*i + 3. Let t be 76/(-8)*(-1 - 1). Let k = -13 + t. Calculate the lowest common multiple of 7 and z(k).
63
Let h = 43 + -25. Let u = -5 + 8. Suppose 5*y = 2*c + 74, c - 38 = -u*y - c. Calculate the least common multiple of h and y.
126
Let s = -1/9 + 10/171. Let d = s - -59/38. Let x = 14817/8 - 1861. Calculate the common denominator of d and x.
8
Let l = -421370009/2851590 - -2/95053. Let r be (-10)/6*1374/(-15). Let m = r + l. What is the common denominator of m and -35/4?
20
Let c = 892 + -766. What is the smallest common multiple of 3 and c?
126
Let b = 0 + 3. Let m = -92767/154 + 4245/7. What is the common denominator of m and 279/(-8)*(-2)/b?
44
Let d be ((-18)/(6/(-1)))/(6/10). Let y(s) = 4*s - 6. Calculate the lowest common multiple of 20 and y(d).
140
Let l be (-9)/((-45)/(-10)) + 5. Let v be 3/18*l*2. Let a(p) = 12*p - 2. What is the lowest common multiple of 14 and a(v)?
70
Let y = -5364165764665655391/927278 - -5784851753911. Let n = y - -2/42149. What is the common denominator of n and 3/2*(-464)/(-176)?
22
Let g(a) = -a**3 - 8*a**2 - 7*a + 24. What is the least common multiple of 8 and g(-8)?
80
Let n = 422569/36 - 11740. Find the common denominator of -82/45 and n.
180
Let i = 202/3 - 1468/21. Let k be ((-364)/6)/((-2)/(-9)). Let r = 1357/5 + k. Find the common denominator of r and i.
35
Let z(l) = -l**2 - 2*l. Let r be z(-3). Let m = r + 13. Let o(f) = -f**3 - f**2 - f + 14. Calculate the lowest common multiple of o(0) and m.
70
What is the least common multiple of 1/6 + 4125/90 and 10?
230
Let m(h) = 36*h**2 + 16*h. Let w be m(9). Let n = -133/33 - -4/11. Find the common denominator of 1 + (w/(-16))/9 and n.
12
Suppose 0 = -780*z + 782*z - 270. Calculate the smallest common multiple of 51 and z.
2295
Let j = 83336 + -15167213/182. What is the common denominator of j and -71/182?
182
Suppose -2*w + 0*w = -8. Suppose 3*c + 2*c - 37 = -w*h, -4*c + 20 = 0. What is the common denominator of 4 - (332/32 - h) and 7/8?
8
Calculate the least common multiple of 105 - (0 + 10 - 7) and 18.
306
Let t = 29374 + -881299/30. What is the common denominator of t and -89/12?
60
Suppose 3*s + 4*f = 16, -5 = 4*s - 3*f + 7. Let k(x) = -x**2 + 2*x + 8. What is the smallest common multiple of k(s) and 5?
40
Let s be (-4)/(-18) + 2168/(-36). Let p(u) = -u**3 + 4*u**2 - 3*u + 14. Let q be p(4). Find the common denominator of q/15 + 563/s and 17/10.
20
Suppose 0 = 5*q - 3*r + 2917, 0 = -4*q - r - 0*r - 2337. What is the common denominator of 2*(-6)/(-56)*q/(-24) and -39/14?
14
Suppose -3*s = -3*d, 2*d 