42
Let g = -1146397/86 + 13330. Find the common denominator of 21/8 and g.
344
Let o = 579607/36 + -16102. What is the common denominator of 9/44 and o?
396
Let g = -1/18575 - -53291681/111450. Suppose 3*n - 6*n = 1431. Let p = g + n. Calculate the common denominator of p and -19.
6
Let h = 2533 - 50691/20. What is the common denominator of h and 3/90*249/(-2)?
20
Suppose 13*m - 30 = 10*m. Calculate the least common multiple of m and 1.
10
Let c(w) = 2*w + 2. What is the smallest common multiple of c(8) and 15?
90
Let a = 10414/7 + -1491. Let s = 335 - 1719/5. What is the common denominator of a and s?
35
Let p(y) be the third derivative of -y**6/120 - y**5/20 + y**4/3 + 2*y**3/3 - 3*y**2. Calculate the smallest common multiple of 10 and p(-5).
70
Let k = -1491797/4614 - 21/1538. Let y be 2/9 - 11135/36. Let x = k - y. Calculate the common denominator of 97/6 and x.
12
Suppose 0 = -x - 3*x - 40. Let u be (x/3)/(6/(-9)). Suppose u*f = 7*p - 2*p - 20, 1 = 2*p + 5*f. What is the lowest common multiple of p and 3?
3
Let z = 57 + 31. Suppose -2*x - z = 38. What is the common denominator of ((-14)/x)/(4/149) and 73/18?
18
Let m = -2 - -3. Let d = -6453/640 + -1/1920. Find the common denominator of m - ((-3)/(-4) + 0) and d.
12
Let f(n) = -2*n + 7 + n + 4*n. Suppose 29 = 2*c + 17. What is the common denominator of 22/9 and f(c)?
9
Let b(s) = 36*s + 3*s + 6 - 1 + 145*s. Let t be b(6). Let i = t - 12230/11. Calculate the common denominator of -113/10 and i.
110
Suppose -3*c - 6*r + r - 36 = 0, 0 = 3*c + r + 24. What is the least common multiple of 1 + (3 - 0 - c) and 4?
44
Suppose -8 = i - 23. Calculate the least common multiple of i and 40.
120
Let s = -2762 - -44111/16. Calculate the common denominator of 81/22 and s.
176
Let k = -27 - -47. Calculate the lowest common multiple of 18 and k.
180
Let c(n) be the second derivative of -n**3/6 - n**2/2 + 2*n. Let h = 1 + -7. What is the least common multiple of 8 and c(h)?
40
What is the smallest common multiple of ((-2)/(-3))/((-1)/(-15)) and (42/(-35))/((-6)/40 - 0)?
40
Let l(b) = -b**2 - 6*b - 1. Suppose -z + 19 = -4*r, -2*z = r + 3*r - 2. What is the lowest common multiple of l(-4) and z?
7
Let g be 53/(-1 - 46/(-50)). Let u = 688 + g. Calculate the common denominator of -29/18 and u.
18
Let m = 18 - -4. Suppose 5*g - 5*l - 46 + 11 = 0, 4*g = 3*l + 33. Calculate the least common multiple of m and g.
132
Let d(a) = a + 10. Let n be d(-10). Suppose 2*o + j + n*j = -320, -2*j + 150 = -o. Calculate the common denominator of 1 + o/16 + -2 and 51/8.
8
Let p = 1003731666899/107 - 833167548223685017/88817490. Let u = 18/9223 + p. Let j = -422/9 - u. Calculate the common denominator of j and 87/10.
10
Suppose 0*w - 12 = -w. Suppose 2 = -k + 12. Calculate the smallest common multiple of k and w.
60
Let r = -3223 + 51545/16. Calculate the common denominator of -9/10 and r.
80
Suppose 3*g = 7*g - 20584. Let n = 32953275617/6408083 - 6/582553. Let a = g - n. What is the common denominator of a and -7/4?
44
Calculate the common denominator of 7/6 and ((-40)/12)/5 - 374/(-48).
24
Let h(s) = -3*s - 23. Let w be h(-10). Let y = -1 + w. Calculate the smallest common multiple of 2 and y.
6
Calculate the common denominator of (-1250)/(-70)*14/12 and 81/16.
48
Let z = -287 - -409. Let y = 3/41 + -469/246. Find the common denominator of -2 - z*1/(-36) and y.
18
Let n = 1 + 3. Suppose 2*z = -n*y - 14 + 4, -2*z - 2*y = 0. Calculate the lowest common multiple of z and 6.
30
Suppose -o - 3*p = -25, 2*o - p - 87 = -2*o. Let g = 46 - o. Find the common denominator of 26/g*(-84)/20 and 91/16.
80
Let s be (2/8)/(5/(-20)). Calculate the smallest common multiple of 5 and -2 + 0 + (5 - s).
20
Let a = 67 + -57. Calculate the lowest common multiple of a and 14.
70
Let f = -9683 + 6695. Let a = f + 700. Let j = a - -13795/6. Calculate the common denominator of j and -93/10.
30
Let w = 79 - 75. What is the lowest common multiple of 18 and w?
36
Let j be (-22)/(-5) + (-2)/5. Suppose j*g - 3 = g. Calculate the lowest common multiple of 6 and g.
6
Suppose 2*x - 5 = -3*x. Let z = 15 - 11. Suppose -z*c = -2*l + 4, 3*c - 6 = -3*l + c. What is the lowest common multiple of x and l?
2
Let w(j) = j**2 + 4*j + 1. Let f = 10 - 5. Suppose 0 = -f*m + 4*q + 92, 2*m - 71 = 4*q - 27. What is the least common multiple of m and w(-5)?
48
Suppose -w + 40 = 9*w. What is the least common multiple of 2 and w?
4
Find the common denominator of 79/8 and (-235)/15*3/4.
8
Let g be (-3)/(-9) - 4/(-6). Let h be (-3 - 2)*(0 - g). Find the common denominator of 2/h + (-451)/40 and -19/14.
56
Calculate the common denominator of -37/30 and (-2)/((-4)/(-2)) - (-884)/(-39).
30
Let b = -27 + 37. Calculate the smallest common multiple of b and 8.
40
Let t be (-2)/(-3) - (-30)/9. Suppose 0 = 5*p - p - t. Calculate the least common multiple of 10 and p.
10
Let h be ((-152)/(-6))/(14/21). Calculate the common denominator of 71/2 and (h/24)/(2/(-3)).
8
Suppose 3*f - 1 = 2*f. Let i = f + 5. Calculate the lowest common multiple of 2 and i.
6
Let w(g) = g + 1. Calculate the lowest common multiple of w(9) and 4.
20
Let t = 22 - 61. Let z = t - -73. Suppose 2*l + 3*l - z = 4*b, 0 = -3*l + 6. Find the common denominator of b and 27.
1
Let l(d) = d**3 + 4*d**2 - 9*d - 12. Calculate the least common multiple of 18 and l(-5).
72
Let z be (-4)/12 - (-8)/(-3). Let c(u) = -2*u**2 - 3*u - 1. Let v be c(z). What is the common denominator of 91/v*6/6 and -145/6?
30
Let n(x) = x**3 - 5*x**2 + 7. Calculate the smallest common multiple of n(5) and 12.
84
Suppose 3*j - 3 = -21. Let l = 0 - j. What is the smallest common multiple of 1 and l?
6
Suppose -3*z - 50 = 31. Let t = 65 + -41. What is the common denominator of 93/8 and (z/t)/(10/52)?
40
Suppose 5*w - 9572272 = 17364053. Let u be 0 - (w/(-66))/5. Let r = u + -16329. Find the common denominator of r and 41/12.
132
Let w = 101833 - 85539731/840. Let j = 18779/9240 - w. Find the common denominator of j and -53/4.
44
Let r = -15885 + 285833/18. Find the common denominator of r and -95/22.
198
Let t = -3031695032/19383 + 156410. Let q = t - -962701/116298. Let p = -34069/6 + 5701. Find the common denominator of p and q.
18
Suppose -19*n + 99 = -16*n. What is the smallest common multiple of 24 and n?
264
Suppose 3*z = -o + 7, -31 = z - 5*o - 12. Let q be (4/z)/(1/2). Let p = 15 - q. What is the least common multiple of 3 and p?
21
Let h = -2557/6 + 425. What is the common denominator of -48/7 and h?
42
Let g(h) = h. Let c = 0 + 3. Let t be g(c). What is the smallest common multiple of 3 - ((-6)/t)/2 and 7?
28
Let d be 4/6*12/4. Suppose -2*r + 22 - 8 = -c, -d*r - 4*c + 24 = 0. Calculate the lowest common multiple of r and 4.
8
Let w = -425 + 1222/3. Calculate the common denominator of -64/3 and w.
3
Suppose -4 = v + 5*r, -4*v - 3*r = -4 + 3. Suppose -v = i, 3*k - 2*i = k + 20. Let y = -6 - -10. Calculate the lowest common multiple of y and k.
36
Calculate the common denominator of 51/32 and (-31)/36 - (-30)/45.
288
Suppose -3*d - 34 + 7 = 0. Let w(k) = -k**3 - 10*k**2 - 10*k + 2. Let o(v) = -v**3 - 5*v**2 - 4*v + 3. What is the least common multiple of w(d) and o(-4)?
33
Let h(a) = 2 - a**2 + 12*a - a + 0*a**2. Calculate the smallest common multiple of 8 and h(11).
8
Let x = -34346/7 + 4915. Suppose -24 = 2*j + 16. Find the common denominator of (116/(-10))/(36/j) and x.
63
Calculate the smallest common multiple of 20 and 10 - 1/(45/12 + -4).
140
Let f(g) = -g + 3. Let o be f(3). What is the common denominator of o - 1/((-60)/303) and -7/4?
20
Let t = -13/30 + 269/240. What is the common denominator of 75/22 and t?
176
Let f(x) = x**3 + 3*x**2 - 4*x + 2. Let p be f(-4). Suppose -3*r - 88 = -o - 3*o, 4*o - p*r = 88. Calculate the smallest common multiple of 28 and o.
308
What is the least common multiple of 4 and (16/(-10))/((-5)/((-225)/(-6)))?
12
What is the lowest common multiple of (-3)/(-6) - 12/(-8) and 16?
16
Suppose 0*f = -f + 14. Calculate the smallest common multiple of f and (-2)/(0 + (-2)/2).
14
Calculate the common denominator of (-53)/6 + 0 + 2 and 3 - ((-15)/(-8))/5.
24
Suppose 5*i - 4*u = 31, -2*i + 3*u + 2 + 9 = 0. What is the lowest common multiple of -1*(1 - -1 - 5) and i?
21
Suppose 3*i + 3 = -3. Let b(u) = -2*u**2 - 2*u + 2