-4*d - 2. Let g be (-4)/10 + 22/5. Suppose -5*c = -g*s - 72, -d*s + 0*s - 33 = -2*c. What is the lowest common multiple of c and 22?
132
Find the common denominator of -3/28 and 1/((-24)/9)*2020/90.
84
Let j(u) = u - 6*u**3 - 3*u**2 + 1 + 3*u**2. Let v(g) = g**2 + g. What is the least common multiple of v(4) and j(-1)?
60
Let i = -7084 + 262149/37. What is the common denominator of i and 63/2?
74
Suppose 4*i = 3*i + 2*z + 20, 0 = -4*i - 3*z + 69. What is the lowest common multiple of (-18)/30 + i/5 and 7?
21
Let p = 2 - -6. Let n = 8 - -6. Calculate the lowest common multiple of n and p.
56
Let j = -124714 - -1622046/13. Let b = 3167/78 - j. Let p = 64/13 + -297/26. Find the common denominator of p and b.
6
Let u be (1 - 5) + 2 + -14. Let s(i) = i**2 - i + 2. Let r be s(0). Calculate the lowest common multiple of 4 and (u/12)/(r/(-3)).
4
Calculate the common denominator of 31/22 and -3*465/24*(-1)/10.
176
What is the common denominator of -45/44 and (-645)/(-240) + -3 + 0?
176
Let b(w) = 981*w - 3. Let y be b(2). Let f = 1928776/5 + -383787. Let o = f - y. What is the common denominator of -71/6 and o?
30
Calculate the lowest common multiple of (36/16)/3 + 1/4 and 8.
8
Let t = 797/154 + -34/7. Let q = 24447 - 50109/2. Let h = -3079/5 - q. What is the common denominator of t and h?
110
Suppose 8 = 2*y - 0. Suppose -y*k + 30 = -18. What is the least common multiple of 20 and k?
60
Suppose 0 = -5*p - 2*o + 2, -p - 2*o + 0 + 2 = 0. Suppose -a + 2 = -p*a. Find the common denominator of -1 + (-258)/(-44) - a and 39/4.
44
Let q = 8 - 7. Calculate the smallest common multiple of 69 and q.
69
Let t = 4363/120 - 273/8. What is the common denominator of t and -35/8?
120
Let z = 1356971/91482 + 2/15247. Find the common denominator of -101/22 and z.
66
Let h be (672/62)/((-14)/(-35)). Let j = h - 11537/372. What is the common denominator of 131/6 and j?
12
Calculate the common denominator of 2 + (-410)/(-72)*15/100 and 45/22.
528
Suppose 3*y - 5 = 7. Calculate the common denominator of 29/10 and 6/21*50/y.
70
Suppose 5*m - 4 = 3*p + 12, -p - 6 = -2*m. Suppose -h = 0, -h + 2*h = m*a. Find the common denominator of -57*(a + (-2)/10) and 55/4.
20
Let r = -100 + 163. Let u(j) = -j**2 + 1. Calculate the smallest common multiple of u(0) and 2/(-9) + 581/r.
9
Suppose -5*p + u + 756 = 0, p - 37 = -4*u + 110. Let k = p - 108. Let d = k + -93. Find the common denominator of -16/5 and d.
5
Let k(u) = u**3 - 6*u**2 - 2*u + 8. Let l be k(6). Let y(w) = -3*w - 4. What is the smallest common multiple of 14 and y(l)?
56
Let i = 379/187 - 36/17. Find the common denominator of i and -5/11.
11
Suppose 1 = -4*z - 27. Let q be -2 + 0 + 2 + 11. Let l = z + q. Calculate the smallest common multiple of 8 and l.
8
Suppose 15 = 2*p + p. Suppose -5*i - 27 = -4*y, 10*y = p*y + 5*i + 35. What is the least common multiple of 2 and y?
8
Let v(a) = 2*a**2 + 5*a + 2. Let l be v(-3). Suppose -3*i + l + 1 = 0. What is the smallest common multiple of i and (-2)/(-3)*12*1?
8
Let t = -117/20 - 29/20. What is the common denominator of t and 59/12?
60
Suppose 0 = 2*z + 119 - 137. What is the lowest common multiple of z and (-1 + 12/9)*27?
9
Suppose -u = -2*h + u + 18, -7 = 2*h + 3*u. Suppose -h*j = o - 4*o + 124, 0 = 2*j + 2. Find the common denominator of ((-106)/21)/(2/(-3)) and o.
7
Suppose 3*z = -5*u + 7*z + 24, 0 = 3*u - 4*z - 16. Calculate the lowest common multiple of 20 and u.
20
Let f(d) be the third derivative of d**5/30 - 5*d**4/12 + 4*d**3/3 + 5*d**2. What is the least common multiple of f(6) and 14?
140
Let h = 4 - 0. Suppose h*d - 18 = 2. What is the smallest common multiple of d and 8?
40
Let m = 84 - 139. Calculate the common denominator of 53/10 and (m/(-3))/(-1) - 3.
30
Suppose 52 = 2*g - 4*v, -6*g - 4*v + 68 = -2*g. Let l = 0 - -22. Calculate the lowest common multiple of g and l.
220
Let r(w) = w**3 - 6*w**2 + 8*w - 5. Suppose o - 10 = -o. What is the smallest common multiple of 11 and r(o)?
110
What is the common denominator of -22 and (-153)/27*(-4)/3?
9
What is the common denominator of 7/28 - 62/32 and 119/12?
48
Let t(b) = 389*b + 2 + 3*b - 5. Let f be t(4). Let o = f - 3061/2. Calculate the common denominator of -143/12 and o.
12
Let d(v) = v + 36. Suppose 7*x = -211 + 1. Calculate the common denominator of x and d(0).
1
Let v(p) = -5*p - 10. What is the smallest common multiple of v(-4) and 18?
90
Let i(y) = 3*y + 2. Let p be i(3). Suppose -z + p = -w + 2, -2*z + 4*w = -12. Calculate the least common multiple of 8 and z.
24
Calculate the common denominator of -7/4 and (-2)/9 + (-1707)/(-756).
28
Let a = 6/397 + -15128/2779. Find the common denominator of a and 25/6.
42
Let p = -3419/4 + 837. Let a = 20 - 28. What is the common denominator of (12/50)/(a/130) and p?
20
Let f be 6/(-16)*1814/219. Let a be (10/(-9))/((-292)/6)*-1. Let y = f - a. What is the common denominator of y and -11/16?
48
Let s = 72563/10 - 7266. Find the common denominator of s and -3 + -2 + 90/14.
70
Let c = 3 - 5. Let d be (1/(-2))/(c/(-12)). What is the common denominator of (-61)/6*d/(-6) and 91/10?
60
Find the common denominator of (6/24)/((-2)/372) and 63/8.
8
Suppose -r + 2*r = 2. Let i = 6 - r. What is the common denominator of 101/4 and (114/14)/(i/14)?
4
Suppose -5 = m, -2*m + 0*m - 165 = -5*d. Let i = d - 15. Calculate the smallest common multiple of i and 11.
176
Let o(t) = t**3 - 2*t**2 - 3*t. Let b be o(-3). Calculate the smallest common multiple of 1 and b/(-28) + (-4)/14.
1
What is the smallest common multiple of 10 and 14/(2/(-4) + 15/6)?
70
Let p(t) = -t**2 - 8*t - 4. Let u be p(-5). Let g(f) = f**3 - 12*f**2 + 12*f - 4. What is the least common multiple of g(u) and 9?
63
Let c = 6053/7 - 863. Find the common denominator of c and (-9)/(-14*(-2)/(-12)).
7
Let q = -38 + 43. Let h = 15 + -11. What is the lowest common multiple of q and h?
20
Suppose 0 = s - 5. Suppose 2*x + 78 = 5*x - 3*z, s*z = 2*x - 55. Calculate the least common multiple of 8 and x.
200
Suppose -2*x = -5*x + 36. Suppose 0*q + 20 = 4*q. Suppose -q*f + f = -64. Calculate the least common multiple of x and f.
48
Suppose 4*s - 40 = -s. Suppose 17 + 9 = 5*p - 2*j, -3*p + 5*j = -27. Let h = s - p. What is the least common multiple of 5 and h?
20
Suppose -p - 2*p = -4*l + 20, 0 = 4*p - l + 5. Suppose -x + 4*g + 26 = p, -3*g - 41 - 28 = -3*x. Calculate the lowest common multiple of x and 10.
110
Let g = 31141/9 - 3455. Let u(o) = o**3 + 6*o**2 - 6*o + 5. Let d be u(-7). What is the common denominator of g and d - -3 - (-108)/(-14)?
63
Let n = -42481/5345 + 58586379/2993200. Let y = 1/2800 - n. Find the common denominator of 43/4 and y.
8
Let a(d) = -5*d - 9. Let x(t) = 6*t + 10. Let s(n) = -7*a(n) - 6*x(n). What is the least common multiple of 10 and s(0)?
30
Let t = 36798 + -25210. Let c = t - 231809/20. Find the common denominator of 57/4 and c.
20
Suppose 0 = 4*q + 5*r - 11 - 12, 3*q - 4*r + 6 = 0. Suppose 0 = -3*k - q + 38. What is the smallest common multiple of 8 and k?
24
Find the common denominator of ((-4)/6)/((-4)/(-9)) and 43/2.
2
Suppose -4*n = -3*n. Let g be n + (-7041)/30*19. Let x = g + 4452. Calculate the common denominator of -51/10 and x.
10
Let k(d) = d - 1. Let w be k(3). Suppose w*s = -9 + 35. Let f = -1 + s. What is the smallest common multiple of f and 22?
132
Let b(j) = j**2 - 6*j - 6. Let t be b(7). Calculate the smallest common multiple of -2 - (-17 - -1 - 0) and (-10 - -7) + t*7.
28
Let p = 10 - 4. Let j(t) = -9*t - 1. Let z be j(-1). Suppose -23 = -3*k + a - p, z = 2*k + a. What is the least common multiple of k and 2?
10
Calculate the least common multiple of 30 and 20/(-25)*(22/(-4) - 2).
30
Let b(a) be the first derivative of a**4/4 - 2*a**3/3 + a**2/2 - 4*a + 2. What is the least common multiple of 12 and b(3)?
24
Let w = -8 - -18. Let u be 4/(-2) - 2*-13. Suppose -2*x - 2*c + u = 2*c, 9 = 3*c. What is the lowest common multiple of x and w?
30
Suppose 2 - 11 = -3*c. Let k(z) = 7*z + 1. Calculate the smallest common multiple of 12 and k(c).
132
Suppose -3 + 1 = -2*z. Suppose 4*u - 3 = -3*g + 1, -5*g + 5*u + 65 = 0. What is the smallest common multiple of g and (-4)/(-4 - (-1 - z))?
8
Let z(a) = 34*a**3 + a**2 + a + 3. Let h be z(4). Let q be (1 - h/198) + -2. Let v = q - 21/44. Find the