Find the common denominator of (3 + 23/(-2))*(-2)/10 and 7/8.
40
Let v(l) = l**3 + 7*l**2 + 5*l + 8. Let p be v(-6). Let h = 2 + p. Calculate the least common multiple of h and 28.
112
Suppose -2*i - 4*k - 5 + 1 = 0, 12 = i - 5*k. Suppose i*g = -g - 354. Find the common denominator of (2/4)/((-9)/g) and 79/6.
18
Let t(c) = 101*c**3 + 3*c**2 + 2*c - 6. Let d be t(-5). Let w = 276361/22 + d. Calculate the common denominator of 91/18 and w.
198
Let v(z) = -z**2 - 10*z - 4. Let a be 23 - (1 - (-2 - -2)). Suppose -3*w + a = -14. What is the smallest common multiple of v(-8) and w?
12
Suppose 3*q + 3*v + 18 = 6*q, -5*q = -3*v - 24. Let u(t) = t**3 - 2*t**2 + 2. Let k be u(q). What is the least common multiple of k - 2*(-1)/(-2) and 8?
40
Let x be (11961/30)/(132/10). Let b = x - 135/4. Let y = 29/39 - -246/13. Calculate the common denominator of y and b.
33
Let j be 2/6 - (-15)/9. Find the common denominator of 0 - (2 - 194/(-20)) and ((-267)/18)/1 + j.
30
Let t be -1 + 0 - 2103/(-5). Let p = 4219/10 - t. Let l = -2314 + 4539/2. Find the common denominator of l and p.
10
What is the common denominator of 2/9 and 790/(-120) - (-2)/3*3?
36
Let v(k) = 9*k**2 - k. Calculate the lowest common multiple of 18 and v(1).
72
Let d = -6 + 10. Suppose 2*i - d - 4 = 0. What is the least common multiple of i and 16?
16
Let h = 2 - 2. Suppose h = y + 2*c - 20, 3*y - 85 = -4*c - 29. Suppose -b + 6 = -y. What is the lowest common multiple of b and 12?
132
Let l(j) = j**2 - 15*j + 54. Calculate the smallest common multiple of l(12) and 15.
90
Let r = 27 - 21. Calculate the least common multiple of 2 and r.
6
Let a = -218/123 - 3199/2706. Let n = 12 + 4. Find the common denominator of a and ((-6)/5)/(n/(-6)).
220
Let i(m) = 3*m**2 + 3*m. Calculate the lowest common multiple of i(-2) and 12.
12
Let b be ((-6)/6)/(2/436). Let r = -598/3 - b. What is the common denominator of r and -40/11?
33
Suppose i + i + 4 = 0. Let n be i*2/4*4. Calculate the smallest common multiple of 8 and 104/6 - n/6.
72
Suppose 7*b - 2*b + 65 = 0. Find the common denominator of (-1052)/416 + (-2)/b and 133/18.
72
Let j = -5 - -10. Suppose -j*c = 20 - 5. What is the common denominator of 20/c*(-28)/(-48) and 59/2?
18
Suppose -21 = k - 4*k. Suppose 5*s - 8 - k = 0. Calculate the smallest common multiple of 22 and 19 - 1 - (s + -1).
176
Let t = -3244 - -25895/8. Calculate the common denominator of t and (2/(-24))/((-2)/(-28)).
24
Suppose q + 3*q - 36 = 5*k, 4*q + k = 12. Calculate the lowest common multiple of 7 and q.
28
Let b(q) = -q**3 - 3*q**2 + 9*q + 10. Let u(y) = 3*y - 2. Let g be u(-2). Let k be b(g). Calculate the smallest common multiple of (-1)/6 + k/36 and 5.
35
Let k be (-3 - 2)*(-6)/(-5). Find the common denominator of (-4)/k - (-43)/(-6) and 99/20.
20
Suppose 4*s = -5*n + 14, 0 = 5*s - s - 3*n + 2. Suppose i - s = -0*i. Calculate the common denominator of (5/42)/(i/51) and -63/20.
140
Suppose 4*b + 1494 = 3*b. Let p = 11971/8 + b. Calculate the common denominator of p and -21/10.
40
Let x = -25 - -37. Calculate the least common multiple of 16/((-4)/x*-3) and 2.
16
What is the common denominator of 119/6 and 15/45*(-190)/16?
24
Let v be 4/14 + (-36)/(-21). Suppose -90 = -v*d - d. Calculate the least common multiple of 4 and d.
60
Let m = -5 + 7. Suppose g + 3 = m*g. Let c = g - -1. Calculate the smallest common multiple of 7 and c.
28
Suppose -2*q - 41 = -3*q. Let r = q - -205. What is the common denominator of 4/(-3)*r/(-16) and -33/4?
4
Suppose 0 = -i - 2*i + 33. Let p = -30 + 11. Let v = p + 27. What is the lowest common multiple of v and i?
88
Let j = -7 + 4. Let x be ((-10942)/j)/(8/12). Let g = 87605/16 - x. Calculate the common denominator of -151/18 and g.
144
Let n = 6139/345 - 89/5. Let y = -931/17940 + n. Let k = -2123/156 + y. Calculate the common denominator of -62/5 and k.
15
Let o(q) = -19*q - 5. Let p be o(5). Let d = -5041/5 - -1005. What is the common denominator of 1765/p - (-3)/(-5) and d?
20
Let c be 1/(-289)*15721/(-317). Let x = 5350172797/1131420550 + c. Let u = -2/6175 + x. What is the common denominator of -37/11 and u?
110
Let u(z) = z**2 - 4*z + 4. Let f = -26 - -14. Let q = -10 - f. Calculate the smallest common multiple of u(5) and q.
18
Let w = -3 + 31. What is the least common multiple of 6 and w?
84
Suppose 0 = -4*n + p + 71, 0*p = -3*n + p + 54. Find the common denominator of -65/4 and 4 + -7 - n/2.
4
Calculate the smallest common multiple of 9 and 6 + 80/(-14) - 80/(-14).
18
Suppose -s + 0 + 7 = 0. Suppose 5*y - 4 - 6 = 0. Suppose -j - 12 = -3*b + 4, -2*j - y = -b. What is the least common multiple of b and s?
42
Let b = 53 - 41. Suppose -10 = -f - 0*f. Calculate the least common multiple of b and f/6*(1 - -11).
60
Let k(d) = d**3 - 7*d**2 + 8*d - 8. Let v(p) = -28*p**3 - p**2 + p. Let q be v(1). What is the smallest common multiple of (5 - q)*4/6 and k(6)?
44
What is the common denominator of (-10)/45 + 845/36 and 31/9?
36
Suppose -5*i - 139 = 1001. Let m = i - -162. What is the common denominator of 81/8 and (-1 + -1)/(m/(-111))?
88
Let y(x) = -x**2 + 6*x - 6. Let z be y(5). Calculate the smallest common multiple of z*2*121/(-22) and 5.
55
Let d = -42 + 68. What is the smallest common multiple of d and 10?
130
Suppose 0 = 3*v + y - 26 + 1, -4 = 2*y. Suppose -6 - 9 = -3*n. Calculate the smallest common multiple of n and v.
45
Calculate the least common multiple of 4/(-5)*(845/(-10) - -2) and 14.
462
Let y be (1 - -25)/(4/33). Let p = -1223/6 + y. Find the common denominator of -1 + 3 - 2/(-8) and p.
12
Calculate the lowest common multiple of 20/35 - 680/(-35) and 86.
860
Suppose 3*y + 4 = -4*f, -2*y + 5 = -f + 15. Let l = -4 + f. Let r = 8 - l. What is the least common multiple of 6 and r?
30
Calculate the common denominator of -71/4 and 6320/(-96)*1/(-60).
72
Let x = -1585/12 + 10405/84. Calculate the common denominator of x and -61/8.
56
Let s = -243/20 - -87/5. Find the common denominator of s and (3/(90/25))/((-4)/90).
4
Let j(p) = -3 + 6*p**2 + p**3 - 2*p**2 + 4 - p**2. Let l be j(-2). Suppose 5*s = -5*n + 75, -l*s - 3 - 12 = -4*n. What is the lowest common multiple of n and 8?
40
Let c be 87202*1/36 + -1. Let b = -2429 + c. What is the common denominator of 11/8 and b?
72
Let i(a) = a**3 + 7*a**2 + 2*a - 4. Let u be i(-6). Suppose d + 2*n - u = -d, 28 = 3*d + 4*n. What is the lowest common multiple of d and 38?
228
Let x = -5 + 7. What is the lowest common multiple of (-6)/4 + (-30)/(-4) and x/4 + (-38)/(-4)?
30
Let c = -2/633 - 15178/4431. Calculate the common denominator of c and 73/6.
42
Let g = 132 + -345/2. What is the common denominator of 0 + 1 - (-144)/(-21) and g?
14
Let x(h) = 2*h**2 + 9*h + 14. Let i be x(-6). Suppose 0 = 5*p - 3*j - 54, 0*p - i = -3*p + 2*j. Calculate the lowest common multiple of p and 6.
12
Find the common denominator of ((-8)/(-33))/((-5)/20) and 23/30.
330
Let d(t) = t**3 - 2*t**2 + 7*t + 5. Suppose -3*k - 24 = -4*p + 2*k, 0 = -k + 4. What is the lowest common multiple of d(0) and p?
55
Let p(i) be the third derivative of -i**4/24 + i**3/6 + 2*i**2. What is the least common multiple of p(-5) and (1 - 2)*-1*5?
30
Let r(j) = -3*j - 11. What is the lowest common multiple of r(-9) and 2?
16
Let q = 2277/1090 + 6/545. Let m = 407845 - 1646567/4. Let d = m - -3817. Calculate the common denominator of d and q.
20
Calculate the common denominator of -79/4 and -2 - 15/(-10) - 13.
4
Suppose 8 = 3*s - 2*s. What is the smallest common multiple of (-1)/(0 + (-2)/12) and s?
24
Let v = -2633 + 18469/7. Calculate the common denominator of v and 82/7*(-1)/2.
7
Let w = 6 + -2. Suppose 0*n - 3*n = -5*i + 5, -5*i - w*n = -5. Find the common denominator of i and 1/3.
3
Let z = -78/77 + -683/770. Suppose -o = -2*f - 12, f = -2*o + 2*f + 21. What is the common denominator of (-459)/(-10) + (-4)/o and z?
10
Calculate the least common multiple of 6/2 + (-10)/(-10) and 9.
36
Let g = -14293/4 - -3551. Find the common denominator of g and -65/4.
4
Let m be (-4 - -8) + 6/2. Let l = 14 - m. Calculate the smallest common multiple of l and 11.
77
Suppose -5*l - 1 = -56. Let k = 3 - -1. Calculate the least common multiple of k and l.
44
Find the common denominator of -67/4 and (7 - 8)/((-22)/(-89)).
44
Let j = 93 - 193. Let n = j + 287/3.