f = h + 2*h - 6. Calculate the smallest common multiple of 9 and h.
18
Let v = 90 - 48. Find the common denominator of 492/(-105) + (30/21)/5 and v.
5
Suppose o + 1 = 3. Suppose k - 12 = -j, o*j - 5 = 5*k - 65. What is the least common multiple of 6 and k?
12
What is the lowest common multiple of 23 + 0 + (-3)/3 and 16?
176
Let s = -13 + 33. Suppose 4*a + s = 0, 5*l - 3*a - 20 = -6*a. Calculate the common denominator of -33 and 2/l + (-237)/(-77).
11
Suppose -r = -3, -o + 4*r = 8*r - 77. Suppose 4*c - o - 3 = n, -84 = -4*c + 5*n. Suppose 0 = -2*m + 6 - 2. What is the least common multiple of m and c?
16
Let y = 0 + 4. Calculate the least common multiple of 28 and 38/3 - y/6.
84
Suppose 2*f - 4 = 4*f. Calculate the common denominator of 27/8 and 2/(-10)*(-74)/f.
40
What is the common denominator of -75/28 and 30/18 - (-69)/18?
28
Suppose -4*l = f - 8, f - 6*f = l - 78. Let z = f + 11. Suppose -2*k - z - 35 = -4*n, -4*k - 12 = 0. What is the least common multiple of n and 6?
42
Let k be 6/(-15) - (-4)/10. Let l = -288 + k. Let j = 541/2 + l. What is the common denominator of j and -31/8?
8
Let r(q) = -q**2 + 10*q + 13. Let j be r(11). Suppose 3*n - 23 = -4*i, j*n = -2*i - 3*n + 15. What is the smallest common multiple of 10 and i?
10
Let k = -1076 + 10803/10. Find the common denominator of 3/(-9)*(-2 + 53/16) and k.
80
Let x(l) = l**2 + 14*l - 36. Calculate the lowest common multiple of x(-17) and 9.
45
Let o = -1851996858647/3180 - -582388970. Let f = o + 8/795. Find the common denominator of f and -63/10.
20
What is the smallest common multiple of 54 and (-21)/(-6) + 9/(-6)?
54
Let q(g) = -g**3 + 15*g**2 + 18*g - 29. What is the lowest common multiple of 15 and q(16)?
15
Let l = 172858145/248 + -697007. Let g = 38/31 + l. Find the common denominator of -22 and g.
8
Let l be (-9)/(-6)*(-4670)/(-12). Let p = l + -25871/44. What is the common denominator of -5/14 and p?
154
Let o = -567633/20 + 28376. What is the common denominator of (-2)/(-5) + (-1032)/80 and o?
20
Calculate the common denominator of 139/12 and 259/(-24) + 1 - 4/12.
24
Suppose 8 - 64 = -8*r. Let a = 2 + -1. Calculate the smallest common multiple of a and r.
7
Find the common denominator of (-6)/4*(-2)/6 and 2814/63*(-1)/(-6).
18
Let k = 2831303/363650 - 2/25975. Let c = 3900 - 323696/83. Let v = c - -3877/498. What is the common denominator of v and k?
42
Let p = -4849/15 - -5931/10. Let y = p + -271. What is the common denominator of y and 1161/(-60) + (-4)/10?
12
Let t = -43/6 + 5/2. What is the common denominator of 25/7 and t?
21
Let c be 244/11 - (-10)/(-55). Let o be 6/(-4) + c/4. Suppose -o*a - a = -45. What is the lowest common multiple of a and 9?
9
Calculate the lowest common multiple of 20 and (-228)/(-14) - 7/(98/4).
80
Suppose 3*j = 3*x + x + 312, 0 = -3*x - 4*j - 209. Let h be ((-5)/x)/(4/(-311586)). Let g = h + 5200. Calculate the common denominator of -38/11 and g.
110
Let n = 2946/11 - 14713/88. Let l = -102 + n. What is the common denominator of l and 12/11?
88
Suppose 19 - 4 = 4*h + 5*w, 0 = -h + 2*w + 20. Suppose -70 = -3*r + 74. Calculate the smallest common multiple of r/9*(-6)/(-4) and h.
40
Let l be 222/605 - 10/25. Let t = 2557/484 + l. Calculate the common denominator of -5/6 and t.
12
Let o = 14075/12 - 1170. Calculate the common denominator of 55/6 and o.
12
Let p = -51 - -75. What is the lowest common multiple of 24 and p?
24
Let l(k) = -k**2 + 14*k - 21. Let i(y) = -y**3 - 6*y**2 - y + 2. What is the smallest common multiple of i(-6) and l(11)?
24
Suppose 4*w - 43 = -11. What is the common denominator of 49/12 and (-6)/w*(-477)/(-135)?
60
Let c(f) = 6*f - 2. Let m be c(5). Calculate the common denominator of 278/m + (-2)/1 and 0 + (-146)/36 + 1.
126
Suppose -c = 26 - 76. What is the common denominator of -103/20 and c/44 + (-1 - 0)?
220
Suppose 3*o + 0*o = 23916. Let a = -207349/26 + o. Calculate the common denominator of a and 91/18.
234
Let b = 988/75 + 33/50. Calculate the common denominator of 109/18 and b.
18
Let c(y) = y**3 + 9*y**2 - 11*y. Let g be c(-10). Let w = -3/248 + -851/124. Find the common denominator of w and (-1*159/(-3))/g.
40
Find the common denominator of -26/27 and (-214)/48 - (-14 + 12).
216
Let d = -1 - -1. Let i = 2 - d. What is the smallest common multiple of (-8)/(-3)*12/8 and i?
4
Let u(m) = -m**2 + 11*m - 10. Calculate the least common multiple of u(9) and 10.
40
What is the smallest common multiple of 12 and (-2 - -1 - 35)/(-2)?
36
Suppose -2*n - 714 = -5*b, -194 = -3*b - 3*n + 247. Calculate the smallest common multiple of 6/(-21) + b/14 and 8.
40
Let s(k) = -k**2 + 12*k + 12. Let z be s(12). What is the common denominator of (z/33)/((-4)/(-10)) and 59/9?
99
Suppose -3*v + 1 = q - 9, -28 = -5*q - 4*v. What is the smallest common multiple of 12 and q?
12
Suppose -2*t + 7 = -t. Suppose t*f - 3*f = 28. Let b(l) = l**3 - 6*l**2 - 7*l + 3. What is the least common multiple of f and b(7)?
21
Suppose 2*q = -q - 5*n + 40, q = 2*n + 6. Let u(t) = 5*t - 2. Calculate the lowest common multiple of q and u(3).
130
Let p = -3733/126 + 8/63. Calculate the common denominator of ((-12)/(-15))/(0 - 1) and p.
10
Let g(w) = 3*w + 1. Let d be g(1). Suppose 0*m + 48 = d*m. What is the smallest common multiple of m and 4?
12
Let t be (6 + -4)/((-2)/(-8)). Let b = -3/1478 + -34721/5912. What is the common denominator of b and 3 - -15*10/t?
8
Suppose 2 = 2*w + u, -4*w - 3*u + 8*u = -18. Let d = 95 + -66. Suppose -2*c + d = -5*z, 0*c - z = -w*c + 17. Calculate the smallest common multiple of 1 and c.
7
Let z(c) = -20*c**3 - c - 1. What is the least common multiple of z(-1) and 62?
620
Let v(m) = 3*m**2 + m. Let t be v(-1). Suppose -2*f + t = -0*f. Calculate the smallest common multiple of f and 21.
21
Let t(q) = 6*q**2 + q. Suppose 5*x + 60 = 8*x. What is the lowest common multiple of x and t(-2)?
220
Calculate the smallest common multiple of (-2 + 2)/(-1) + (-66)/(-6) and 2.
22
Let f be 3/(0 + (-1 - -2)). What is the least common multiple of (f + -4)*(-7)/1 and 7?
7
Suppose -4*y + 5*y = 5*u - 1, -4*u + 12 = 2*y. Suppose -y + 0 = -p. Calculate the least common multiple of p and 2.
4
Suppose i = f - 0*i - 4, 0 = f + 2*i - 4. Let l = 6 + -2. What is the least common multiple of l and f?
4
Find the common denominator of -13/10 and 1/6*327/(-3).
30
Let p(v) = 14*v**2 + 2*v - 1. Let d(g) = -13*g**2 - 2*g + 1. Let r(f) = 5*d(f) + 6*p(f). Calculate the smallest common multiple of 2 and r(1).
20
Let q = 4 - -33. Suppose -3*i - q = 26. Calculate the common denominator of i and 30/(-4)*(-23)/5.
2
Let v be (-1047)/(-27) - (-2)/9. Let i = v - 23. What is the least common multiple of 22 and i?
176
Let m = 1023/56 - 134/7. What is the common denominator of m and (1155/(-252))/((-3)/(-4))?
72
Let o(n) = 4*n**3 + n**2 + n. Calculate the lowest common multiple of 2 and o(1).
6
Let a = -335487709/3724 - -90088. Let t = a + -19786/2793. What is the common denominator of (222/16)/((-66)/8) and t?
132
Let z = 14 - 11. Let x(r) = -r - 6. Let w be x(-5). Let j = z + w. What is the least common multiple of j and 5?
10
Let o = -253/2 - -124. What is the common denominator of o and -48?
2
Let l(x) = x**3 + 3*x**2 + 2*x - 1. Let j be l(7). Suppose 5*y = 3*o - j, -o + 5*y = -132 - 39. Let m = 413/2 - o. Find the common denominator of m and -35/8.
8
Let n = -4424/845 + 6/169. What is the common denominator of -17/7 and n?
35
Let b = 8702/7 - 87839/70. Let f(u) = -u**2 - 3*u - 2. Let o be f(3). Calculate the common denominator of (102/o)/(30/25) and b.
20
Let g(f) = 10*f - 4. Calculate the lowest common multiple of 14 and g(1).
42
Suppose 6 = -2*f + 3*h, -6*h + h + 23 = f. Let v be f + (-18133)/16*2. Let p = v + 2276. Calculate the common denominator of p and 21/20.
40
Find the common denominator of 4/(-6) + 1670/120 and 47/16.
16
Suppose 2*q - 7*q = 2*y - 45, 4*y - 83 = -3*q. What is the least common multiple of 8 and y?
40
Suppose -4*u + 0*u = 4, -5*f = -5*u - 492775. Let r = 687482/7 - f. Let y = r + 341. Calculate the common denominator of y and -49/11.
77
Let z(r) = 539*r**3 - r**2 - r + 1. Let n be z(1). Let d be (n/4367)/((-24)/(-642)). Let i = d + 9/397. Find the common denominator of 125/12 and i.
132
Suppose 0 = -z + 11 + 44. Calculate the common denominator