1/4.
12
Let n = 9 + -1. Calculate the least common multiple of 14 and n.
56
Let d(r) = 1. Let i(b) = b**2 - 4*b - 4. Let m(o) = 6*d(o) + i(o). Let s be m(3). Calculate the common denominator of 19*-10*s/4 and 149/6.
6
Calculate the common denominator of 83*(1/22 + 0) and 178/(-36) + 0/(-2).
198
Let m(v) = v**2 + 7*v - 5. Let f be m(-8). Suppose f*i + 24 = -3*d + 9, -5*i - 4*d = 23. Let k = i + 11. What is the lowest common multiple of k and 3?
24
Suppose -12 = v - 2*v. Suppose 0 = z - 2*z - 4*a - 4, 2*z - 10 = a. Suppose 0 = -q - z*q + 70. What is the least common multiple of v and q?
84
Let n be 76608/(-38309) - (-1 + -1). Let v = 194286/157258445 - n. Let k = 422871/57470 - v. Calculate the common denominator of 113/10 and k.
70
What is the smallest common multiple of 1 + (-4 + 3 - -9) and 11?
99
Let z be (-542320)/24 + (-1)/3. Let o = z + 452053/20. Find the common denominator of 4/14 + (-1593)/(-1260) and o.
20
Let i(a) = -a**3 + 5*a**2 + 6*a. Let b be i(6). Suppose -v - 5 = b, -5*v - 4 - 24 = -t. What is the smallest common multiple of -2 + (-3 - -2 - -5) and t?
6
Suppose -31 = -2*o + x, -2*x + 4 = -5*o + 84. What is the smallest common multiple of o and 12?
36
Let p(u) = 6*u**2 + 3. Let w be p(-8). Let g = w + -3879/10. What is the common denominator of 57/20 and g?
20
Let i(y) be the first derivative of -y**4/4 - 8*y**3/3 - 3*y**2 + 5*y - 3. Let b be i(-7). What is the common denominator of 25/2 and 0 + b + 33/(-21)?
14
Let r be (6/4)/((-1)/4). Let v = r + 24. Suppose -15 + 51 = 9*n. Calculate the lowest common multiple of n and v.
36
Suppose 3*x - 2 = 10. Let q(j) = j + 6 - x + j. Calculate the smallest common multiple of q(2) and 10.
30
What is the common denominator of 10*2/88 + 0 and 87/5*10/(-28)?
154
What is the common denominator of (-2 - -1) + 231/176 and -97/4?
16
Suppose -6 = -2*x + 4*h, -3*x + h + 18 = -2*h. Suppose -x - 31 = -4*u. What is the smallest common multiple of 4 and u?
20
What is the smallest common multiple of (9 - 25/30) + 1/(-6) and 18?
72
Let x = 2425/558 + 4/93. Calculate the common denominator of x and 53/6.
18
Let h = 137603/21 + -6555. What is the common denominator of h and -49/12?
84
Let t(r) = -r - 1. Let n be t(0). Calculate the common denominator of -41/2 and n/(-2) + 438/60.
10
Let p(n) = 3*n - 8. Calculate the smallest common multiple of 8 and p(4).
8
Let y(h) = 6*h - 34. What is the least common multiple of y(9) and (-4)/(-3)*33/2?
220
Let w(q) = q + 1. Let h be w(5). What is the common denominator of 183/(-144) + 2/h and 67/16?
16
Let l(v) = -2*v**3 + 2*v - 1. Suppose t + 15 = -4*y, -y = -2*y - 5. Calculate the smallest common multiple of t and l(-2).
55
Let p = 27404 + -274529/10. Let j be (23658/(-112))/(30/8). Let b = p - j. Calculate the common denominator of -53/5 and b.
35
Let r be (-1)/(1*(-1 + 2)). Let q be (1454/168)/r + -1. Let u = q - -81/7. Find the common denominator of u and 53/16.
48
Let p(z) = -135*z**3 - z + 1. Let t be p(1). Let r = -268857/1718 - 5/859. Let c = r - t. What is the common denominator of 89/2 and c?
2
Suppose 3*z = -2*y - 317, 4*z - y - 120 + 561 = 0. What is the common denominator of 40/3 and 3/6 - z/10?
15
Calculate the common denominator of (-445)/45 + (-6)/54 and 2 - (160/6 + 0).
3
Let i = 39 + -35. Calculate the least common multiple of 75 and i.
300
What is the common denominator of -5/3 and 316/(-66) - 6/(-2)?
33
Let a(h) = 3*h**2 + 2 - 2*h**2 + 3*h + 2. Let d be -3*(-4)/18 - 20/3. What is the least common multiple of 14 and a(d)?
154
Suppose 7*n = 3*x + 4*n, -20 = -4*n. Let l be 0/(-2 - 8/(-2)). Suppose 5*r - x = -l*r. What is the lowest common multiple of 9 and r?
9
Let v be (-2661)/5340 - (-3)/6. Let d = 35161/3560 - v. What is the common denominator of d and 93/16?
16
Let m = -56 + 110. Suppose 0 = f - 3*f - m. Let t = -5 - f. Calculate the least common multiple of 22 and t.
22
What is the lowest common multiple of 6 and 20/(-30) + 88/6?
42
Let k = -525467/24 - -21899. Find the common denominator of k and -59/20.
120
Suppose 4*s - 2 = 6. Suppose s = p - 0*p. What is the least common multiple of 6 and p?
6
What is the common denominator of -29/20 and 35/150 + (-4)/(-6)?
20
Suppose -5 = -0*n - n. Suppose 4*v + n*a + 76 = 0, -33 = -5*v - 4*a - 137. Find the common denominator of (46/5)/(v/18) and -121/12.
60
Let w(y) = -y. Let n be w(-2). Suppose s + 8 = n*s. Calculate the least common multiple of (40/(-35))/(6/(-21)) and s.
8
Let q(g) = -g**2 + 21*g + 83. Suppose 0 = -3*u + j + 6, 7*j - 2*j = -15. Calculate the lowest common multiple of u and q(24).
11
Calculate the common denominator of ((-6)/288 + -3)/((-1)/(-2)) and 35/3.
24
Let d = -499/2 + 245. Find the common denominator of -19/6 and d.
6
Let l be (-2)/6 - 133/(-21). Calculate the common denominator of (2 + 19/(-30))*9 and (3/l)/((-18)/134).
90
Let w = 1793966/5 - 60276851/168. Let p = w - -1/120. Let f = 3/223 - 1371/2453. Calculate the common denominator of p and f.
77
Find the common denominator of -79/12 and (-311)/80 + 1/5.
48
Suppose f + 20 = 5*f. What is the smallest common multiple of f and 9?
45
Let y(s) = -19*s**3 + 4*s + 3. What is the smallest common multiple of 8 and y(-1)?
72
Let y be 3 + -2 + (6 - 2). Let s = 11 - y. Calculate the smallest common multiple of (-2)/4*(-36)/s and 2.
6
Calculate the common denominator of (-472)/336 - (-4)/(-6) and 1/14.
14
Let r = -48463/70 - -4882/7. Let j = 834 + -1219. What is the common denominator of j/60*11/(-7) and r?
60
Let c = 10 - -4. Calculate the least common multiple of 14 and c.
14
Let m be 1 + (-2)/(-2)*-86. Calculate the common denominator of 93/2 and 1/(m/73 + 1).
12
Calculate the common denominator of -115/14 and ((-12)/40)/(-2 + 5).
70
Let u(k) = 4*k - 3. Let c be ((-3)/(-3))/(2/10). Calculate the lowest common multiple of u(3) and 1/c - 34/(-5).
63
Let h be (7 + -4)*4/(-6). Let j = h + 2. Find the common denominator of 1/10 and (1*37)/(j + 1).
10
Let v(t) = 36*t - 323. Let s(h) = -5*h - 1. Let l be s(-1). Suppose -3*f - 4*z + 22 = -6*z, -2*f + l*z = -4. What is the smallest common multiple of f and v(9)?
10
Let m(c) = -43*c - 10. Let a be m(-7). Let i be -14*(a/(-21) - -1). Calculate the common denominator of (-4)/18 + (-599)/i and 69/4.
20
Suppose -h + 959 + 1613 = 0. Find the common denominator of -131/6 and h/(-120) - 4/10.
6
Suppose 3*y - 5 = 2*y. Calculate the common denominator of (-1 - (-25)/2)/y and (2/(-1))/(24/58).
30
Let l(p) = -3*p + 2. Let v be l(-6). Let m be v/(-22)*(-8)/10. Let g = m + -109/44. What is the common denominator of g and 39/11?
44
Suppose -3*g - 12 = g, s = -3*g - 1. Calculate the smallest common multiple of 8 and (4/s)/((-3)/(-18)).
24
Calculate the common denominator of -29/2 and 0 - (-1 + 3)/(24/(-582)).
2
Let y = 2 + -4. Let t be (y - -2)*2/4. Suppose -l + 9 = -t*l - 3*i, -3*l = -i - 35. What is the least common multiple of l and 22?
132
Suppose -34*t - 12 = -37*t. What is the smallest common multiple of t and 28?
28
Suppose 1 = 3*f - 2. Let u be (-1)/(-1)*(22 - 0). Let r = -15 + u. What is the smallest common multiple of r and f?
7
Suppose -u - 12 = -3*u. Suppose -4*a = a - 15. Suppose 3*w = -6, -5*d - a*w + 12 = -3*d. Calculate the lowest common multiple of u and d.
18
Find the common denominator of -13/54 and ((-36)/(-160)*5)/(3/4).
54
Suppose -2*l = -j - 62, -j = -5*l + 41 + 21. Let d = j - -1005/16. What is the common denominator of d and 83/18?
144
Suppose 5*m - 4*h = -7*h - 14, -5*m = 5*h + 20. Let t = -1123 + 8883/8. Find the common denominator of t and m + ((-15)/(-6) - -2).
8
Let c = -1072 - -4329/4. Calculate the common denominator of c and -47/6.
12
Let n = -2655 + 10691/4. What is the common denominator of n and -43/11?
44
Suppose 3*q = -2*q. Let p = -4 + q. What is the smallest common multiple of 117/12 + (-1)/p and 14?
70
Suppose v + 2*b = -8, -3*b = 3*v - b + 8. Suppose 0*q - q + 5 = v. Calculate the smallest common multiple of 5 and q.
5
Let u = -92 + 96. Calculate the lowest common multiple of u and 45.
180
Let m = -1013/186 + -5/93. Let z = -26/41 - -3701/82. What is the common denominator of z and m?
2
Let p = 7 - -3. Calculate the common denominator of p/(-4)*261/(-60) and 65/2.
8
Let t(g) = 1 - g**3 + 0*g**3 - g + 3*g - 3*g + 3*g**2. Let y be t(2). Suppose 0 = 2*z + y*z - 30. Ca