e d + c - 23 = 0. Suppose 0 = 2*s + s - 30. Calculate the lowest common multiple of d and s.
20
Let v = 110 - 72. Let j be (-2)/(-4) + (-86)/(-4). Let u = v - j. What is the lowest common multiple of u and 12?
48
What is the least common multiple of 14/1 + -3 + (8 - 1) and 66?
198
Let c be (-32)/(-18) - (-2)/9. Suppose -c*a - 2*z + 30 = 0, 3*a - z - 3*z - 10 = 0. Calculate the common denominator of (-4)/a - 371/10 and -67/22.
22
Let s = -1 - -6. Calculate the common denominator of 35/4 and (-2)/(-3) + (s - -17).
12
Let t(s) = -11*s**2 + 24*s - 4. Let f(h) = 7*h**2 - 16*h + 3. Let z(p) = -8*f(p) - 5*t(p). Let o = 9 + -7. Calculate the least common multiple of o and z(6).
8
Let r be -3*2/(-2) + -2. What is the common denominator of -49/2 and (-63)/28*(r + 4)?
4
Suppose 0 = 4*b - 2*b - 4. Suppose 8 = 4*z - b*z. Suppose -3*h + z*h = 7. Calculate the least common multiple of 1 and h.
7
Let i be -2 + 2 + -3 + 2. Calculate the common denominator of 19/8 and ((171/(-6))/i)/(-12).
8
Suppose -s + 624 + 1283 = 0. Let w = s - 11471/6. What is the common denominator of (0 + 1)*95/2 and w?
6
Let v be 3/5 - 714/(-10). Let f be (1*6)/((-4)/v). Find the common denominator of -26/5 and (-4)/18 - (-4458)/f.
10
Let f(z) = -z**3 + 4*z**2 + 2*z - 4. Calculate the least common multiple of 3 and f(4).
12
Suppose y - 5*j = 27, y - j = -2*y + 11. Suppose 5*n + 4*x = 122, 6 = y*x - 0. Calculate the smallest common multiple of n and 18.
198
Suppose 2*d - 34 = -5*w, 0*w + d + 16 = 3*w. Calculate the smallest common multiple of 7 and w.
42
Let m = -44450721 + 262925996386/5915. Let a = m - 3/2366. Calculate the common denominator of 95/16 and a.
80
What is the common denominator of ((-2)/((-192)/27))/((-12)/232) and -127/18?
144
Suppose -5*p + 80 = 5*a, 4*p = -3*a + a + 38. Let y = -8 + a. Calculate the smallest common multiple of 4 and y.
20
Let l(j) = 13*j**2 + 2*j + 1. Suppose 4*y - 2*n + 5 = 19, 4*y - 3*n - 13 = 0. Suppose -3 = y*p + 1. Calculate the least common multiple of 6 and l(p).
12
Suppose -2*a + 2 - 1 = -3*f, -a + 5*f = 17. Suppose 5*w = 5*t, -3*w + 24 = -0*w + 3*t. What is the least common multiple of a and 16/10 - w/(-10)?
8
What is the common denominator of (6/(-4))/(60/(-118)) and 35/8?
40
Let t = -5 + 13. What is the smallest common multiple of 14 and t?
56
Let r(q) = -48417*q**3 + 3*q**2 + q. Let v be r(-2). Let k = -76694309/198 + v. Let b = k - 79/33. What is the common denominator of b and -67/10?
90
Let n = -230 - -248. Suppose -50 = -5*v + 40. What is the lowest common multiple of n and v?
18
Suppose 0*w = 5*w - 15340. Let u = w - 36947/12. Find the common denominator of u and -131/6.
12
Let i = 2405/4 + -582. Find the common denominator of -37/3 and i.
12
What is the common denominator of -9/14 and 2 - (532/88 + 0)?
154
Suppose 0 = -8*t + 5*t + 15. Suppose 0 = -0*f - 5*f - 2*u + 10, -4*u - 8 = 3*f. Calculate the least common multiple of f and t.
20
Let m = -6 + 6. Let y be -1941*(-3)/6 - m. Let z = y - 1018. Find the common denominator of z and -5/4.
4
Suppose 29 = 3*r - 1. Let b be (r/(-6))/((-3)/9). Suppose 0 = i - 4*i - 5*s + 40, b*s + 100 = 4*i. What is the least common multiple of i and 16?
80
Let g(t) = 0 - 2 + 21*t + 4. Let i be g(-8). Find the common denominator of -97/4 and 0 - i/(-28)*-1.
28
Let d = 3 + 1. Suppose 2*n = 2*b + 18, 3*b - 25 = -3*n + d*b. Calculate the smallest common multiple of 9 and n.
72
Let b = 18 + -4. Let s(d) = -2*d**3 + 2*d**2 - d + 2. Let q be s(2). Let v = q + 18. Calculate the least common multiple of b and v.
70
Suppose -c - 2809286 = 3*d, -3*c + 2*c - 2*d - 2809290 = 0. Let l = c + 33832427/12. Let v = -10077 + l. What is the common denominator of -71/8 and v?
24
Suppose -6*m + m = -60. Suppose 0 = 2*l - 5*l + 42. Calculate the least common multiple of l and m.
84
Let t = -5177/66 + 641/11. Let u = 802 - 17639/22. What is the common denominator of u and t?
66
Suppose -1 = 4*t - 2*p - 3, -5*p - 17 = -4*t. Let m = t - -4. Suppose 48 = -31*x + 34*x. Calculate the least common multiple of m and x.
16
Let y = 14 - 0. Let z = -3 + 6. Suppose z*p - x = -6*x + 43, 2*p + x - 31 = 0. Calculate the lowest common multiple of y and p.
112
Suppose -3*t + 1 = -i + t, 3*t - 27 = -3*i. Let u = -14 - -23. What is the least common multiple of i and u?
63
Let q = 14 + -10. Calculate the smallest common multiple of q and 10.
20
Suppose -3 = -u - 0. Suppose 0 = -u*r + 3 + 3. What is the common denominator of r/(-3) + (-203)/(-66) and -89/12?
132
Let g(t) = -t**3 - 8*t**2 - 8*t + 9. Let v be g(-7). Suppose 9*r + v = 13*r. Calculate the least common multiple of r and 8.
8
Suppose 4*z = 5*o + 27, 0 = -5*z + 2*o + 48 - 10. What is the lowest common multiple of z and 8?
8
Let s = 901/78 + 34/13. Calculate the common denominator of 916/126 + (-2)/(-7) and s.
18
Let m be (-2)/9 + (-418)/(-99). Suppose 0 + m = 2*x. Let w = 32 - 16. What is the smallest common multiple of w and x?
16
Let g be ((-7)/21)/(2/(-6)). What is the common denominator of ((-5)/(-120))/(g/190) and -97/10?
60
Let n(y) = -y**2 - 7*y - 6. What is the smallest common multiple of n(-5) and 7?
28
Let t = 14 + -24. Find the common denominator of 4/t - (-3249)/(-540) and -73/16.
48
Calculate the common denominator of -1 - (-2 + (-66)/20) and 2/((-252)/2697) + 3/(-7).
30
Suppose 4*y - 43 = 137. What is the smallest common multiple of 55 and y?
495
Let r = -211/8 + 87/4. Find the common denominator of r and -113/10.
40
Let s = -2 + 10. Let p = -12 + 18. Suppose -5*o - 20 = -p*o. What is the lowest common multiple of o and s?
40
Let o(f) = f**2 - 5*f + 1. Let b be o(7). What is the least common multiple of ((-12)/b)/(6/(-150)) and 12?
60
Let w = -13741/18 - -762. Let r = -13039/7 + 3741/2. Find the common denominator of r and w.
126
Let f(y) = -y**3 + 5*y**2 - 2*y - 2. Suppose 2*x - v = 29 - 0, 5*x = -4*v + 40. Calculate the least common multiple of f(3) and x.
60
Let p be 24/164*1/2. Let h = 278/123 + p. Calculate the common denominator of h and 5/7.
21
What is the least common multiple of (-4)/14 - 308/(-49) and 3?
6
Let r = 2562 + -30793/12. Calculate the common denominator of ((-174)/(-44))/(0 + -3) and r.
132
Suppose -2*p - 5*g = p - 28, 0 = 2*p + 4*g - 22. What is the common denominator of (-6)/(1*p/8) and -73/4?
4
Let s = -2143 + 737. Find the common denominator of 145/12 and (-4)/(-14) - s/(-168).
12
Let d(m) = -m**2 + 20. Calculate the least common multiple of d(0) and 4.
20
What is the lowest common multiple of 1/(-2) + (-15)/(-6) and 20/5 + (-4)/2?
2
Let f = 6 - -11. What is the lowest common multiple of f and 3?
51
Let i = -2314 - -32357/14. Let l be 2/7 - 6/21. What is the common denominator of l + 237/(-42) - -1 and i?
14
Let r(c) = 10*c. Let g be r(7). Suppose -4*t = 3*i - g, 4*t - 3 = t. Suppose -f + 3*f = 12. Calculate the lowest common multiple of i and f.
66
Let c(k) = -k**2 - 5*k + 4. Let w be c(-3). What is the common denominator of (-116)/w*75/(-20) and -59/20?
20
Suppose s = 2*s + 2. Calculate the least common multiple of -5 + 4 - (0 + s) and 22/10 - (-2)/(-10).
2
Let x be ((-25)/2 - 1)*2. Let y be (-2206)/126 + (-6)/x. Let f = y - -1605/56. Find the common denominator of f and 19/8.
8
Let x be 1*3 - (-64966)/(-20). Let z = x - -3240. Calculate the common denominator of 55/16 and z.
80
Let q = 2/10045 - 114517/20090. Calculate the common denominator of q and -79/22.
110
Let r = 89 - 60. Calculate the common denominator of r and 57/10.
10
Suppose -3*r + 31 = 4*t, -t + 0*t + r + 6 = 0. What is the least common multiple of 9 and t?
63
Suppose -52 + 208 = 4*z. What is the least common multiple of 15 and z?
195
Let u = 10212063919/1660138578 + -1/2009853. Let k = u + 88/59. Calculate the common denominator of k and -87/10.
70
Let c = -13749/4 - -3533. Let f = -1261/12 + c. Calculate the common denominator of 54/7 and f.
21
Let d = 12 + -7. Let w(s) be the first derivative of s**4/4 - 4*s**3/3 - s**2 + s - 1. Calculate the smallest common multiple of w(d) and 16.
16
Let z be ((-10)/(-4))/(2/4). Suppose -z*g - p = -11, 2 = p + 6. Suppose y = g*y - 20. Calculate the lowest common multiple of 11 and y.
110
Let l(r) = 5*r**2 + 1. Let t be l(-3). Suppose -3*h = t - 16. What is the lowest common multiple of 7 and (-75)/h*8/10?
42
Let c = 7 - 3. Suppose 5*h + 78 =