 common multiple of (-5)/3*(34 + -37) and 20/s*36/(-10).
45
Let f(p) = p**3 - 28*p**2 - 27*p + 65. Let n be f(27). Let l = 44563/32 + n. What is the common denominator of l and -24/5?
160
Let k = -1240 - -1282. What is the least common multiple of k and 30?
210
Let a = -3528 - 933. Let z = 5/312056 + -4152997291/936168. Let j = z - a. Calculate the common denominator of j and 45/16.
48
Let h be (29 - 2) + (-8)/(-2). Let u = h - 25. What is the lowest common multiple of u and 22?
66
Let n = -7057/4064 + 34/127. Find the common denominator of n and 115/12.
96
Let z = -7/74 - 348/37. Calculate the common denominator of 10/(-25) - -54*(-95)/(-200) and z.
4
Let b be (4 - -39)/((-2)/(-6)). Suppose -2*w + 648 = 5*y + 2*w, b = y + w. What is the common denominator of 25/11 and (-15)/18*y/40?
44
Let j(g) = -2*g**3 + 4*g**2 + 2*g - 4. Let k be j(-3). Let p be 1/4 + (-307212)/k. Let q = 3843 + p. Calculate the common denominator of 145/18 and q.
90
What is the common denominator of (6 - 888/80) + 2/6 and 7/80?
240
Let u(f) = -4*f**3 - 18*f**2 + 2*f - 31. Let h(n) = -3*n**3 - 19*n**2 + 2*n - 30. Let r(d) = 5*h(d) - 4*u(d). What is the least common multiple of r(23) and 18?
180
Suppose -2*m + 14 = -0*m. Let l = -5 + 13. Let y(i) = i**3 - 9*i**2 + 9*i - 1. Calculate the smallest common multiple of m and y(l).
7
Suppose -84 = 112*n - 124*n. What is the least common multiple of n and 357?
357
Let s be ((-18)/(-15))/((-10)/(-25)). Suppose 0*j - s*j + 12 = 0. Calculate the smallest common multiple of j and 4.
4
Let b = 26/227 - 11409/2497. Let r = 675650/11 - 61828. Let a = 405 + r. Calculate the common denominator of b and a.
11
What is the smallest common multiple of -57 - -55 - 1/(3/(-321)) and 75?
525
Let u = -979/2 - -456. Calculate the common denominator of u and (-1309)/(-198) + (-1 - 0).
18
What is the common denominator of -101/88 and (10/6600*3)/(1/246)?
440
Let y(s) = s**3 - 3*s**2 - 5*s - 1. Let n be y(5). Let z = n - 19. Suppose 4 = -4*p, -2*p + 31 = -2*d + z*d. What is the smallest common multiple of d and 10?
110
Suppose 2*u = 3*u - 2*j - 5, -5*j = 5*u + 5. Let r be -1 + (10704 - u - -2). Let z = 235575/22 - r. Find the common denominator of z and 95/12.
132
Let m(l) = 72*l**3 + l**2. Let y be m(1). Suppose -b = 5*g + y, g + 2*b + 34 = -g. Calculate the common denominator of (g/54)/(7/105) and -33/5.
45
Find the common denominator of -1*1 + (5 - 341/264) and (-50)/125*(-200)/(-6).
24
Suppose -5*d - 4 = -9, 5457 = -4*f - 3*d. Calculate the common denominator of ((2*-1)/18)/(10/f) and 29/30.
30
Calculate the lowest common multiple of 400 and (-8866)/(-44) - 9/6.
400
Let t = -563 + 570. Suppose 2*z - 12 = -2*x, 0*z = -2*z + 4*x. What is the smallest common multiple of z and t?
28
Suppose -5*b = 0, 419 + 31 = 5*a - b. Calculate the smallest common multiple of a and 50.
450
Let s be (-6)/((13 - 3)/(-5)). Suppose 0*w = -4*w + s*x, w = x - 1. Suppose w*r - 4*r = -8. Calculate the smallest common multiple of r and 6.
24
Suppose 0*v - 2*m - 38 = -v, 4*v = -2*m + 162. What is the smallest common multiple of v and 50?
200
Suppose z - 6 = -2*z. What is the smallest common multiple of z and 2/(-11) - (-4800)/264?
18
Let a be (3 + 5/(-2))*0. Suppose a = 2*y - y - 20. What is the lowest common multiple of y and (9/(-12))/(1/(-8))?
60
Suppose -5*t + 0*t + 50 = 0. Suppose -468 = -99*h + 21*h. What is the least common multiple of t and h?
30
Let t(f) = f**3 - 3*f - 2. Let o be t(-2). Suppose 6*r - 3*i - 126 = 3*r, 5*i = 3*r - 122. Calculate the smallest common multiple of -63*(r/12 + o) and 9.
63
Suppose 0*v - v = 4*w + 726, 3*w - 3*v = -552. Let z = 532519/2905 + -13/1162. Let k = w + z. Find the common denominator of k and 47/8.
40
Let d = 32 + -19. Let v(t) = 11*t**2 - 3*t + 5. Let r be v(2). Suppose -5*s = -r + d. Calculate the smallest common multiple of 4 and s.
12
Suppose -4*u + 2*h + 20 = -9*u, -u = -h - 3. What is the lowest common multiple of (u - -6) + 7*1 and 1?
11
Suppose 0 = -5*y + 5*d + 5, 4*y - 5*d + 5 = -4*d. Find the common denominator of 5/y + -3 - 3 and 57/10.
10
Suppose -4*h + 720 = 4*b + 680, 4*h = -b + 22. Let w = -19 - -67. Calculate the least common multiple of w and b.
48
Let g = -183 - -745/4. Let q be -1*(-4)/(-16)*4/(-171). Let n = q + 1187/1710. Find the common denominator of n and g.
20
Let g(u) = -u**3 - 17*u**2 + 21*u + 21. Let q be g(-18). Let t be 6/q + 8/44. Suppose 1 + t = s. Calculate the smallest common multiple of s and 1.
1
Let a = 115 + -5. Suppose a = z + 4*z. What is the lowest common multiple of z and 100?
1100
What is the common denominator of 2/4 + 4/(-22)*-10 and 32/55?
110
Let h = 134 - 154. Find the common denominator of -65/21 and (16/30)/((154/h)/(-7)).
231
Let r be 15/10*-2*6/9. Let m(t) = -t + 6. Calculate the lowest common multiple of 26 and m(r).
104
Suppose 0 = 19*r - 25*r + 6. Let k = -11 - -7. What is the lowest common multiple of r and (-144)/(-14) - k/(-14)?
10
Suppose -9 = 5*g - 59. Let c be (8/3)/(6/9). Suppose n - 4*x = 9, -x = n + c*x + 9. What is the least common multiple of g and n?
10
Let r = -3 - -10. Suppose -p + 11 = r. What is the least common multiple of 126 and p?
252
What is the smallest common multiple of 24 and 2/14 - 7152/(-112)?
192
Suppose 4*d + 87 = 215. Calculate the least common multiple of d and 112.
224
Let d(f) = -2*f. Let b be d(-1). Suppose -2*g + b*c = -0*c - 22, -5*g - 2*c = -90. Calculate the least common multiple of 6 and g.
48
Let n = 61450/9 + -6835. Find the common denominator of n and (74 + -1)/(5 + -23).
18
Let r = -6973644901/15 + 4571886215/12. Let n = -83893988 - r. Let v = n - 25160. What is the common denominator of 77/10 and v?
20
Let m = 1089 + -855. Calculate the least common multiple of 5 and m.
1170
Let a = 15 - -48. What is the lowest common multiple of a and 42?
126
Calculate the common denominator of 89/96 and (-4)/22 - (-3934)/(-4620).
480
Let p(d) = 13*d**2 - 2*d - 1. Let g be p(-1). Suppose -10 - 15 = -5*z, 4*z - 17 = y. Suppose 0 = y*n - 4*n + g. What is the least common multiple of 26 and n?
182
Suppose 604 + 676 = -u. What is the common denominator of -115/12 and (-2 - 0)/(u/(-1712))?
120
Let j = -2199/5 + 175923/400. Find the common denominator of 37/16 and j.
400
Let l be (-954)/680 + 3/15. Let a = l + -4/85. Calculate the common denominator of 83/20 - 1 - 1 and a.
20
Let v be (8*2/(-764))/(-1). Let a = v + 2272/955. Find the common denominator of -29/3 and a.
15
What is the common denominator of -45/4 and 9/222*(27/2 + -2)?
148
Let c = 767/328 - -145/41. Let h = -4 - -22. Find the common denominator of (-4)/h + 830/(-72) and c.
8
Let j(i) = 7*i**2 - 3*i + 6. Let k be j(3). Suppose 8*v - k = 2*v. What is the lowest common multiple of 18 and v?
90
Let f be (24/6)/((-1)/(-7)). Let w = f + -17. Suppose -4*a + 59 - w = 0. Calculate the smallest common multiple of 18 and a.
36
Suppose -4*c - 18 + 18 = 0. What is the common denominator of (-145 - (0 - c))/(34 + -28) and -67/10?
30
Let y = 1 + 3. What is the least common multiple of (3/(-6))/((-1)/16 - 0) and y?
8
Let p be 27 + (1 - 1) + -4. Let w = 23 - p. Find the common denominator of w + ((-172)/(-8))/1 and 36/5.
10
Let m = -26/209 + -10661/3344. Calculate the common denominator of 61/60 and m.
240
Suppose -2*r + 4*x + 158 = -0*x, -313 = -4*r + 5*x. What is the smallest common multiple of r and 99?
693
Calculate the common denominator of 4/319 and (2/116)/((-97)/(-3589)).
638
Let g(l) = l - 2. Let x be g(2). Suppose 3*u + 3*q + 8 = 2, x = 2*u - q - 8. What is the common denominator of (36/(-672))/(u/248) and -1/14?
14
Let q be 1/1*6/3. Suppose -4*b + q*b - 3*n + 28 = 0, 2*b = 4*n. Calculate the lowest common multiple of b and 25.
200
Let l = 15107/8 - 1887. What is the common denominator of 79/24 and l?
24
Suppose 2*m - 2*w + 128 = 0, -w + 1 = -0. Let x = -151/2 - m. Let v = -14401/48 - -889/3. Find the common denominator of x and v.
16
Suppose -4*r = -6*r + 6. What is the lowest common multiple of 14 and r - 15/9 - 29/(-3)?
154
What is the least common multiple of 12 and (-7)/((-70)/58) + 3/15?
12
Suppose -l - 84 = l. Let t = 6 - l. Suppose 0 = -4*p - 0*p + 24. Calculate the least common multiple of p and t.
48
Find the common denominator of 47/1460 and ((-9)/4)/(92 - 77).
1460
Suppose -o + 6 = 