o + 37 = 3*i. Find the common denominator of 3/i - y/(-420) and -137/12.
12
Let h(x) = -x**2 - 17*x - 42. What is the least common multiple of 1654 and h(-13)?
8270
Let v = 65423/6 - 10879. Let k = 7 + -5. Calculate the common denominator of v and (-4)/k + (-47)/(0 + 1).
6
Suppose 12 = 3*r, -5*g + 166 = -9*r + 13*r. Let a(j) = 2*j**2 - 3*j + 2. What is the smallest common multiple of a(-2) and g?
240
Suppose 11 - 66 = -5*f. Suppose -5*v = 1 - f. Let j(n) = 6*n + 34. Calculate the least common multiple of v and j(-3).
16
Suppose b - 28 = -3*b. Let y(h) be the first derivative of h**4/4 - 7*h**3/3 + h**2 - 9*h - 4. What is the smallest common multiple of y(b) and 2?
10
Let w = -1261/11144 - -154/199. Let o = 65/7 - w. What is the common denominator of o and 33/10?
40
Calculate the least common multiple of -6 + (6 - -132) + 8 and 76.
2660
Let a = 176911/18 + -9826. Find the common denominator of 133/660 and a.
1980
Let i be -43702*3*(-2)/72. Let l = 3624 - i. Calculate the common denominator of l and -43/3.
6
Suppose 0 = -5*r - o - 1040, 5*r = 2*o - 1296 + 241. What is the common denominator of r/112 + 8 + -7 and -123/10?
560
Let x be -1*(-86547)/48 + 2. Let q(g) = -601*g + 3. Let d be q(3). Let z = d + x. Calculate the common denominator of -85/12 and z.
48
Suppose 24 = 7*v - 221. What is the lowest common multiple of 42 and v?
210
Let t = 61 - 17. What is the common denominator of (7 - 6)/((-6)/t) and -2*(-381)/(-72) - -2?
12
Let o = 32/5 - -53/10. Suppose -5*a - 4*f + 68 = 0, 3*f - 39 = -a - 2*a. What is the common denominator of o and 26/12*40/a?
60
Suppose 2*f - 10*f = 112. Let c(v) = -v - 9. Calculate the least common multiple of 29 and c(f).
145
What is the common denominator of 3 + (47/5)/((-138)/(-115)) and -85/4?
12
Let p be ((-2144)/(-24))/(3 - (-14)/(-6)). Let j = p - 110. Calculate the lowest common multiple of j and 30.
120
Let f be 3/(2 + (-3)/1). Suppose m = 4*m - 4*s - 1033, -2*s - 1394 = -4*m. What is the common denominator of 17/2 and 3/f - m/(-30)?
10
Let y = -110 + 206. What is the lowest common multiple of 30 and y?
480
Suppose -879 = -5*u + 4*n, n + 1 = -0*n. Suppose 5*o + 1650 = -5*d - u, -4*o - 2*d - 1458 = 0. Calculate the least common multiple of ((-6)/4)/(39/o) and 1.
14
Let g be ((-686)/3 - 1)*-9. Let o = g - 28955/14. Find the common denominator of o and -69/22.
154
Let a(d) = 4*d**2 + 192*d + 5. What is the smallest common multiple of a(-48) and 1?
5
Let r = 4 - 1. What is the common denominator of (r/4)/(36/(-1160)) and 50*(-1)/(-3) + 1?
6
Let b(i) = -3*i**3 + i**2 - i - 2. Let s be b(-1). Suppose 6 = s*w - 3*c, -3*w - c + 36 = 2*c. Calculate the least common multiple of 5 and w.
35
Calculate the smallest common multiple of 9 + (4 - (-2 + (-7)/(-1))) and 120.
120
Suppose -2*g = 12 + 16. Let w(u) = 5*u + 4. Let j be w(-5). Let l = g - j. What is the smallest common multiple of 6 and l?
42
Let u = 43 - 40. Suppose 3*c + u*b = -2*c + 56, 80 = 5*c - 5*b. Calculate the least common multiple of c and 3.
39
Let n = -23086 - -553985/24. What is the common denominator of -14/129 and n?
1032
Find the common denominator of -23/224 and (10 - 1955/238) + 6/(-14).
224
Let z = 171 + -117. Let i = z + -44. Calculate the least common multiple of i and 50.
50
Find the common denominator of (356/(-200) - -1)*(-1540)/(-264) and 59/226.
2260
Suppose 31 = 4*q - 29. Let k(d) = -8*d**2 + 11*d + 14. Let g be k(q). Let j = -16259/10 - g. What is the common denominator of j and -123/10?
10
Let x = 2386 + -35884/15. Find the common denominator of x and 2/45.
45
Find the common denominator of -57/8 and 8679/2912 + -2 - (-45)/(-45).
2912
Let y = 768427/30 + -25617. Let j = 1775 + -5395/3. Calculate the common denominator of j and y.
30
Let p = -172 - -177. Find the common denominator of -1 - (86/(-24) + 0) and p/30 - (-87)/36.
12
Let z = 17 - 15. Suppose -5*s + 5*o - 25 = 0, -2*o = 2*s - 0*o + z. Let a(t) = t**2 - t + 6. What is the least common multiple of 2 and a(s)?
18
What is the common denominator of 83/12 and (1 - 5) + 572/96 - -4?
24
Suppose -2*r + 11 = i, 2 = 2*r - 6. Suppose i*l - 1 = -2*a + 13, 3*a - 34 = 2*l. What is the lowest common multiple of a and 16 - (14 - (11 - 4))?
90
Calculate the common denominator of (159/(-36) - 0)*27/666 and 5/259.
2072
Let z = -5151/52 + 1590/13. What is the common denominator of z and (-7)/(21/(-81))*(-1)/(-47)?
188
Suppose 0 = 2*g + 4*v - 2, 2*v = -2*g - 0 + 2. Calculate the lowest common multiple of g/3 + 153/27 and 18.
18
Let l be 2240/(-6714) + (-11)/(-33). Let j = 129805/3357 + l. Let y = j - 511/15. Find the common denominator of y and -22/3.
15
Let v = 246/19 + 971/38. What is the common denominator of v and 2 + 2*17/20?
10
What is the common denominator of 53/170 and (-1705)/(-248) - 1/4?
680
What is the common denominator of 56/(-42) - (11/39 - 1) and -7/33?
429
Let l(f) = -f**3 + 22*f**2 - 2*f + 34. Let z be l(22). Let d be ((-2)/(-6))/((-1)/3). Calculate the common denominator of d/(z/14) - 3 and -117/10.
10
Let v be -4 + 0 + 487/(-1). Let g = -7837/16 - v. Calculate the common denominator of (-166)/(-10)*10/(-12) and g.
48
Let p = 27 + -22. Suppose -2*t + 12 = 4*o - 6*t, p*o = -t + 15. Calculate the smallest common multiple of 9 and o.
9
Suppose 438 - 120 = 2*y. What is the lowest common multiple of 3 and y?
159
Let i = -1884 - -1888. What is the least common multiple of 1586 and i?
3172
Let f = -147/47 - -1671/940. Let n = 3155/3 + -62851/60. What is the common denominator of f and n?
20
Let m = -123497/32 + 3860. What is the common denominator of 35/68 and m?
544
Let x = 707 + -12709/18. What is the common denominator of x and 121/444?
1332
What is the lowest common multiple of 100 and 11/((-99)/(-15)) - (-165)/9?
100
Let v = 17 - 15. Let z(a) = 28*a**2. Let r be z(-1). Suppose 4*u - b - r = 2*u, 3*u - 3*b - 36 = 0. Calculate the least common multiple of u and v.
16
Find the common denominator of -15/4 and 2 - (-306)/8 - (-27)/108.
4
Let i = -2061 + 49403/24. Find the common denominator of -39/4 and i.
24
Let y be 2/(-8) - 58/(-120). Let n = -8/5 - y. Find the common denominator of (-35 - -1)/((-4)/((-8)/(-22))) and n.
66
Suppose 9 = 2*b - 1. Suppose -4 + 16 = 5*t - 3*z, b*z + 20 = t. Suppose t = 2*s - 14. Calculate the lowest common multiple of 7 and s.
7
Let o be 4/(-3) + 8/6. Suppose o = -8*w + 78 - 6. Suppose 40 = -2*a + 6*a. What is the least common multiple of a and w?
90
Suppose 7*b + 3*z = 2*b + 112, -2*z + 44 = 2*b. What is the smallest common multiple of b and 20?
460
Let l = -2/1921237 - 77796649809/30739792. Let z = 2537 + l. Find the common denominator of 54*(0 + (-9)/(-36)) and z.
16
Calculate the common denominator of (-2 - (-19)/10)/((-18)/(-387)) and 3/16.
80
Suppose 22*k = 13*k - 189. Calculate the smallest common multiple of -14*(k/(-6) + -5) and 9.
63
Suppose -18*g + 0*g = -1584. What is the least common multiple of 8 and g?
88
Let t = 1/13 - 185/208. Find the common denominator of t and 95/2.
16
Let w = -31132/9 - -1369901/396. Find the common denominator of w and -31/11.
132
Let n(p) = -p**2 - 5*p - 2. Let r = 50 - 50. Suppose 5*z + 2*l - l - 41 = r, -2*l - 8 = 0. What is the least common multiple of z and n(-4)?
18
Suppose -963 = 3*t + 657. Find the common denominator of ((-2)/12)/((-3)/(t/(-28))) and -79/58.
406
Let g(u) = u**2 + u - 1. Let a(y) = -55*y - 5 - 10 + 52*y. What is the least common multiple of g(2) and a(-6)?
15
Suppose -4*t - 5*o = -41, 4*t - 38 = -4*o - 2. What is the lowest common multiple of t and (-42)/(1 - -5)*(-20)/14?
20
Suppose -62 = -4*y - 26. Suppose r = -r - j + y, -r - 5*j - 9 = 0. Calculate the smallest common multiple of 7 and r.
42
Find the common denominator of -11/10 and (-5)/3 - (-5992)/(-8400).
50
Let j = -17292 + 2939607/170. What is the common denominator of -19/15 and j?
510
Let k = 1 + 0. Let h be ((-18)/4)/(k/2). Let z = h - -50. What is the smallest common multiple of z and 8?
328
Suppose -178*n + 165*n + 312 = 0. What is the least common multiple of 108 and n?
216
Suppose 4*s - 4*a + 54 + 42 = 0, s = -a - 16. Let j(l) = -3*l**2 + 2*l + 1. Let k be j(-2). Let d = k - s. What is the smallest common multiple of d and 6?
30
Suppose -50*l + 10 = -49*l. What is the lowest common multiple of 41 and l?
410
Let b = 1148005013/19