 Find the common denominator of 91/2 and x.
2
Suppose 7*g = 12*g + 60. Let s = g - -23. Calculate the lowest common multiple of 11 and s.
11
Let x be 245/28 + (10/8 - 2). Let h = x - -2. What is the lowest common multiple of h and 8?
40
Let h = 696 + -1882. Let i = h + 9437/8. Let c = -2305/172 - 144/43. Calculate the common denominator of c and i.
8
What is the lowest common multiple of 4725/11 + (-1968)/(-264) + -8 and 195?
2145
What is the common denominator of (-8)/24 + (-83)/(-54) and 56/15?
270
Suppose -192 = 5*y - 42. Let g be (y/45)/(1/6). Calculate the common denominator of 29/6 and ((-6)/2 + 0)/g.
12
Let v(r) = -r**3 - 5*r**2 - 4*r + 3. Let k be v(-5). Let z = -189097/32184 - -2/4023. Find the common denominator of (-2)/8*(-2 - k) and z.
8
What is the common denominator of 23/318 and (4/(-3)*24)/(-11)?
3498
Let w(p) = 6*p + 15. Let c be w(-2). Suppose -c*h - 61 = -5*f, 4*f - 54 = 3*h + 2*h. Calculate the smallest common multiple of 2 and f.
22
Suppose -5*o = 3*r - 2009, 3*o + 4*r + 313 - 1525 = 0. Calculate the smallest common multiple of 440 and o.
4400
Let i be (6/5)/(3/10). Suppose f - 12 = -4*g, 7*f - i*f = -12. Let v(t) = t**2 - 2*t. What is the least common multiple of v(g) and 16?
16
Let q = -4850/63 + 528/7. Find the common denominator of q and -23/60.
180
Suppose -562*a + 563*a = 117. What is the lowest common multiple of a and 3?
117
Suppose 2*y - 5 = -4*z + 69, -2*y + 3*z = -67. Calculate the lowest common multiple of 56 and y.
280
Let z = -343/48 + 17251/1776. Let k = -4280260 + 1266954979/296. Let p = z + k. Find the common denominator of p and 47/8.
8
Let o = -233 - -339. Let x = 118 - o. Calculate the least common multiple of 3 and x.
12
Calculate the common denominator of (4 - -13)/(-15 - -10) and -25/6.
30
Suppose -r = 3*r - 20, -r = 5*x - 65. Let t = 4568 + -4562. What is the least common multiple of t and x?
12
Let w = 5/17319 - -802387/207828. Calculate the common denominator of w and 80/39.
468
Suppose -5*a + 67 = 7. Suppose 0*x = -2*x + a. Let v(l) = -l**2 - 11*l - 4. What is the least common multiple of v(-10) and x?
6
What is the common denominator of ((-598)/39 - -15) + (-470)/(-1884) and 79/4?
1884
Let h = 86819/5 + -12327793/710. Find the common denominator of h and -25/4.
284
Let c = 51 - 27. Suppose -c = -t - 4. Calculate the lowest common multiple of 26 and t.
260
Let s(d) = -d**3 - 6*d**2 + 3*d - 26. Let q be s(-7). What is the common denominator of 309/(-48) - q/(-2)*2 and -75/32?
32
Let g(a) = 6*a**3 + a**2 - 1. Let w be g(1). Let h(l) be the first derivative of l**3/3 - 2*l**2 - 7*l + 28. What is the least common multiple of h(w) and 11?
55
Let s be 3/((-12)/(-5))*-12. Calculate the least common multiple of 3*10/s*-3 and 13.
78
Let w be (-3527)/1692 - (-10)/(-15). Let j = 5/188 - w. Let d = -1239/8 - -145. Find the common denominator of d and j.
72
Let g(y) = -5*y - 17. Let n be g(-4). Calculate the smallest common multiple of 20/n*12/8 and 2.
10
Let r = 227 + -1999/9. Let s = -145 - -65. What is the common denominator of r and (-264)/s*4/(-6)?
45
Suppose 7*v - 30 = v. What is the smallest common multiple of 11 and v?
55
Let a = 709 - 689. What is the smallest common multiple of a and (-1)/(44/16 + -3)?
20
Suppose 0 = 13*j - 18*j + 15. What is the lowest common multiple of j and 9?
9
Let x = 6/193 + -4879/1737. What is the common denominator of 1/9 and x?
9
Suppose 3*r - 5*r = -1674. Let d be 2/8 + r/(-3316). Let w = 15729/9119 - d. Find the common denominator of -29/5 and w.
55
Let i(l) = 6*l**2 + 7*l + 8. Calculate the smallest common multiple of i(4) and 120.
1320
Suppose -5*t + 41 = -29. What is the lowest common multiple of t and 16?
112
Let a be (1003 - -1)*422*-1. Let i be ((-2)/(-8))/((-28)/a). Let j = i + -3786. Calculate the common denominator of -17/14 and j.
14
Let p(m) = -m + 21. Suppose 225 = 3*y - 0*y. Let t = y + -39. Calculate the smallest common multiple of t and p(19).
36
Suppose -2*u - 4*r = -84, -6*u + 234 = -u + 2*r. Calculate the smallest common multiple of u and 32.
96
Let c = -88 + 89. What is the lowest common multiple of 4 and (c - 6)*(8 - 9)?
20
Let t(p) = -p**3 + 4*p + 3. Suppose 8 = -2*y, -3*l + 6*l + 14 = -2*y. Suppose 26 = f + f. What is the least common multiple of f and t(l)?
39
Let p = -300 + 306. Calculate the least common multiple of 102 and p.
102
Let y be 19 + -20 + 2/(56/(-319362)). Let j = y + 11401. Calculate the common denominator of -67/12 and j.
84
Let a = -674 - -734. What is the smallest common multiple of 13 and a?
780
Let f be -2 - -3 - 2446/(-312). Let o = f + -453/26. Find the common denominator of o and 23/9.
36
Let b = 4649159/66 - 70444. Find the common denominator of b and 157/300.
3300
Let b = -41842/338877 + 9/2282. What is the common denominator of 27/20 and b?
5940
Let k(v) = v**3 + v**2 + v + 132. Let a be k(0). Find the common denominator of (-45)/(-4) + (23 - 31) and (-340)/6*9/a.
44
What is the common denominator of 813/902 - (98/(-77))/(-7) and -33/20?
820
Suppose 1 = -q, -2*q = 309*y - 311*y + 92. Suppose 0 = -5*r + 171 + 29. What is the smallest common multiple of y and r?
360
Let p = -3598460681/3870 - -4649148/5. Let u = 1/774 + p. What is the common denominator of u and (-1 - (-228)/27)*-1?
45
Suppose v + 451 = g + 2*g, -3*g + 446 = -2*v. What is the lowest common multiple of 64 and g?
1216
Suppose -s - 3490 = 3*o - 5*o, o = -3. Let x = -13915/4 - s. Let h = 219731/20 - 10989. Calculate the common denominator of h and x.
20
Let n = 1459/36 - 10055/252. Let s = 27/26 + -139/234. Let c = n + s. Find the common denominator of 35/2 and c.
14
Calculate the least common multiple of (6 + 6 + -19 - 0)*-16 and 266.
2128
Suppose -3 = 2*j - 7. Suppose 3*g - 31 = h, 2*g + 5 = -2*h + 23. Suppose 0 = -2*o + 2 + g. What is the least common multiple of j and o?
6
Suppose 5*j = 3*m + 52, m = 4*j + 13 - 49. Suppose -2*s - 15 = 5*q - 3*s, 0 = 3*q + 2*s + 22. What is the smallest common multiple of 36*q/(-1*8) and j?
72
Calculate the common denominator of -5 + 1880/(-96) + 12 and 169/60.
60
Let s(h) = -h**3 - 38*h**2 + 80*h + 4. What is the least common multiple of 40 and s(-40)?
40
Let q = -697 + 729. What is the lowest common multiple of q and 120?
480
Suppose -2*h = -z + 14, -3*z - 31 = -6*z - 5*h. What is the least common multiple of 40 and z?
120
Let l be (7 + 0)*(-8)/1208. Let r = l + -994/1359. Calculate the common denominator of r and 95/8.
72
Suppose 9 = -4*i + 25. Suppose -g = 1 - 5. Suppose -44 = -g*u - 4. What is the lowest common multiple of u and i?
20
Let m be ((-8)/12)/(2/(-63)). Find the common denominator of -85/12 and (-761)/42 - (-6)/m.
12
Let c = 37279889/198 - 188283. What is the common denominator of c and -91/216?
2376
Let f = -1985 - -33710/17. Calculate the common denominator of f and (-6)/(-33)*(-49)/2.
187
Suppose -6*l + 4*v + 11 = -5*l, 5*l = -4*v + 7. What is the least common multiple of 153 and l?
153
Let s = -268 + 303. Calculate the lowest common multiple of s and 45.
315
Let n = 83824/45 - 1863. Find the common denominator of n and 19/24.
360
Let x(r) = -r**3 - 7*r**2 - 3*r - 9. Let p(k) = -6*k**3 - 6*k**2 + 3*k + 15. What is the least common multiple of p(-2) and x(-7)?
132
Let q(n) = -n**2 + 5*n - 1. Let j be q(4). Let s be (-2)/(-3)*27/18. Let z = j - s. Calculate the smallest common multiple of z and 4.
4
Calculate the common denominator of 1/(16/(-46) - 0) and (-4 + 3 + -2)*17/(-30).
40
Let a = -134899/40 - -3372. Calculate the common denominator of a and -33/32.
160
Let a(s) = -s**2 + 18*s + 22. Let d be 8 + -12 - (-24 + 1). Calculate the least common multiple of 12 and a(d).
12
Let h be 3/((-1)/8*-2). Suppose 0 = 4*o + h - 8. Calculate the common denominator of 31 and (3 + o)*259/28.
2
Suppose 9*k = 6*k + 39. Let d = k - 9. Suppose -d*q - 37 + 101 = 0. What is the smallest common multiple of 14 and q?
112
Let q be 12/(-10) + (-2)/(-10). Let p = 1 - 8. Let l = q - p. What is the lowest common multiple of l and 10?
30
Let u(p) = -99*p**3 - p + 1. Let r be u(1). What is the common denominator of (r/(-8))/(8/(-8)) and (-1)/((-84)/(-118))*3?
56
Let t(h) = -2*h + 54. Calculate the least common multiple of t(19) and 740.
2960
Suppose 2*w = 5*y + 6*w - 48, y = w + 15. Calculate the lowest common multiple of y and (