= -4*a + 5*c + 41, -2*a - 3*c = -6*c - 23. What is the least common multiple of 8 and a?
8
Suppose -3*l + 148 = -104. What is the common denominator of 11/5 and l/33*3/(-4)?
55
What is the lowest common multiple of (45/(-6))/(9/(-24)) and 12?
60
What is the smallest common multiple of 0 + 2 + 8 + 20/(-10) and 10?
40
Let s = 1 - -2. Let r = s - 0. Suppose 2*v = -4*m + 10, 3*v + v - r*m - 53 = 0. Calculate the lowest common multiple of 9 and v.
99
Suppose -5*d + 55 = 3*h, -4*d = 6*h - 8*h + 44. Calculate the least common multiple of h and 18.
180
Calculate the lowest common multiple of 32 and -30*-4*(-2)/(-20).
96
Suppose 6*y - 3*y - 36 = 0. Calculate the lowest common multiple of y and 15.
60
Suppose 1 = -4*y + 5. Calculate the least common multiple of y and 16.
16
Let g = -8545870/147 - -58132. Let q = g + -8/49. Let n = -822 - -5718/7. Find the common denominator of q and n.
21
Let o = 66 - 60. What is the lowest common multiple of 27 and o?
54
Suppose -2*t - 6 = -4*t. Suppose -2*j - t*x = 877, -1768 = 3*j - 2*x - 446. Calculate the common denominator of 1/2 and (-1702)/j + 4/22.
20
Let h(g) = -2*g**3 + 2*g - 2. Let i be h(1). Calculate the common denominator of 119/12 and 174/12*i/(-20).
60
Let z be 584/(-2)*(-70)/(-4). Let w be (-1)/4 - z/(-8). Let y = -7591/12 - w. Find the common denominator of -43/22 and y.
132
Let b be -8 + 7 + 1/1. Suppose -4*x - x + 25 = b. Let g(j) = 6*j - 2. Calculate the lowest common multiple of g(2) and x.
10
Let w = 40 - 19. Find the common denominator of (-6)/w*(-1 + -7) and 33/4.
28
Let b = 5/474 + -31010/237. Let o = 142 + b. What is the common denominator of o and -89/18?
18
Let p = 451 + -445. Calculate the least common multiple of 33*1/(-6)*-4 and p.
66
What is the smallest common multiple of 5 and 4/(-14) + (-180)/(-42)?
20
Let j = 1295 - 1270397/981. Let m = 6217/1962 + j. Let c = 18/11 + -16/11. What is the common denominator of c and m?
66
Suppose 0 = -0*q - 3*q + 6. Suppose q*s - 12 = s. Calculate the least common multiple of 2 and s.
12
Let n(b) = b**2 + 8*b + 4. Let f be n(-7). Let o = f + 7. Suppose 0 = -3*g - 2*g + 90. What is the smallest common multiple of g and o?
36
Let y = 2 + -1. Suppose 0 = 4*l + 7 + y. What is the smallest common multiple of (28/6)/(l/(-3)) and 2?
14
Let w = -717/38 + 26321/1254. Find the common denominator of w and 86/21.
231
Suppose 4*f = 3*n - 17, 0 = -0*n - 3*n + 2*f + 13. Calculate the smallest common multiple of n/((18/(-44))/(-3)) and 20.
220
Suppose 6*w - 3*w = 21. Let z(b) = 4*b**3 - 5*b**3 + 2*b + 4 + 7*b**2 - 6 + 4. What is the lowest common multiple of z(w) and 6?
48
Let v(a) = -4*a - 3. Let g be v(-2). Suppose 0*i + 1425 = g*i. Calculate the common denominator of 25/9 and (i/10)/((-12)/(-5)).
72
Suppose h - 4*t = 3, -2*h - 2*h = -5*t - 12. Suppose -3*a = -8*p + 3*p + 10, 4*p - 14 = h*a. Let l = a + 15. Calculate the lowest common multiple of 2 and l.
10
Suppose 54 = -f + 4*f. Suppose -g - 3*u + 0 + f = 0, 0 = -g - 4*u + 22. Calculate the lowest common multiple of 3 and g.
6
Let x(i) = 4*i - 38. Calculate the smallest common multiple of x(11) and 8.
24
Let k(o) be the second derivative of o**5/20 - 5*o**4/12 + 2*o**3/3 - o**2/2 + 2*o. Let m be k(4). What is the common denominator of m/(-10)*4 - 1 and 1?
5
Let j(v) = v - 2. Let w be j(5). What is the common denominator of -43/10 and -6 + w - 31/(-4)?
20
Let u = 2/9597 - -24519/31990. Calculate the common denominator of u and 35/9.
90
Let x be 18/(-1) + (-2 - -4). Suppose 0 = -9*v + 2*v + 56. Calculate the lowest common multiple of v and x/(-1) - (-2 - -2).
16
Suppose -2*j + 34 = 5*l, -2*l + 4*l + 2*j - 16 = 0. Let v(k) be the first derivative of k**2/2 - 2*k - 1. What is the least common multiple of 2 and v(l)?
4
Suppose -c - 4*l = 9, -4 = -2*c + 6*l - 3*l. Let h be (-14)/328*c/2. Let i = h - 16463/2952. What is the common denominator of i and 49/8?
72
Let t(k) = k**3 + 8*k**2 + 4*k - 5. What is the smallest common multiple of 8 and t(-7)?
16
Let y(x) = -x + 3. What is the smallest common multiple of 2 and y(-7)?
10
Let a = 3 - 5. What is the smallest common multiple of (15 + a)*1 - 3 and 6?
30
Let g be ((-1)/(-2))/((-2)/(-24)). Suppose g*i - i - 32 = -3*m, 39 = 4*m + 3*i. What is the smallest common multiple of 8 and m?
72
Suppose 0*h + 4 = -h + y, 0 = 5*h + 4*y + 2. Find the common denominator of 97/10 and 1 - -1 - (-53)/h.
10
Let d = 413481/70 + -5907. What is the common denominator of 89/8 and d?
280
Suppose -2*d + 10 + 8 = 4*m, 0 = -4*m + 4. Let i(v) = -v**2 + 6*v + 8. Let c be i(d). Let l = c - -17. Calculate the smallest common multiple of l and 8.
72
What is the smallest common multiple of 3 and 28/14 - (-2 + -1 + -35)?
120
Let b = 8 - 1. Suppose -b = -t - 4. What is the lowest common multiple of 10 and t?
30
Suppose 4*x = -3*i - 2 + 22, 22 = x + 5*i. Suppose -x + 22 = 2*r. Calculate the lowest common multiple of r and 22.
110
Let l = -1037/130 - -209/13. Let f be -79 + (0 - (-2)/10). Let g = f - -1661/20. What is the common denominator of l and g?
20
Let r = 6 + -10. Let p = r - -7. Suppose -p*w + 24 = -12. What is the least common multiple of 22 and w?
132
Suppose 556 = 5*r + 146. Suppose 4*h - r = -b, h = -4*b + 3*h + 292. What is the smallest common multiple of 2 and (-1)/(3 - b/24)?
12
Let c = 152 + 170. Let t = c - 1623/5. Find the common denominator of -11/4 and t.
20
What is the common denominator of ((-114)/(-14))/(4/14) and 101/22?
22
Suppose -2*j - 4*i = -3*i - 7, -5*j - 5*i + 5 = 0. Calculate the least common multiple of j and 6/(-5)*6*(-50)/18.
60
Let m = 12695/14 - 1801/2. Find the common denominator of m and -59/2.
14
What is the common denominator of (-166)/24 - (-1 + 4) and 47/20?
60
Let c be 1 + -1 - 2122/176. Let t = -95/8 - c. Calculate the common denominator of t and -1/6.
66
Suppose 2*x = -25 - 1. Let m = x + 22. Calculate the least common multiple of 4 and m.
36
Suppose -3*r + 39 = -63. What is the least common multiple of r and 5?
170
Let g = -4 + 5. Calculate the least common multiple of g and 9.
9
Let u = 16/274869 - -21938341/4764396. Let h = u + -22/117. Calculate the common denominator of h and -63/4.
12
Suppose -35 - 7 = 3*o. Let s be o/(-6) + 2/(-6). Suppose w - 3*z - 25 = s*z, -4*w + 4*z = -52. What is the lowest common multiple of 4 and w?
20
What is the common denominator of -13*((-1)/6)/((-8)/16) and 37/9?
9
Calculate the lowest common multiple of -12*(-1)/((-9)/(-6)) and 14.
56
Suppose -2*s + 3*k + 6 = 0, 2*s = 5*s + 5*k + 29. Let c = s - -6. Calculate the lowest common multiple of 7 and c.
21
Let m = -43 - -81. What is the lowest common multiple of m and 14?
266
Let x(l) = -l**3 + 4*l**2 + l - 3. Let p = 0 + 14. Calculate the smallest common multiple of x(4) and p.
14
Let o be (2/((-2)/(-1)))/(-1). Let p = -103 - -113. What is the least common multiple of p and -6*o/(3/2)?
20
Suppose -2*t - 228 = -6*t. Let i = -37 + t. Calculate the smallest common multiple of i and 12.
60
Let x = 24 + -64. Calculate the common denominator of 1/1*(-108)/x and 56/5.
10
Let l = -1075 + 4263/4. Find the common denominator of (159/9)/((-2)/3) and l.
4
Let z = -2203168/465 - -4738. Let q = -6971/930 - z. Calculate the common denominator of q and 25/110*83/5.
22
Let s = 735209/8 + -91233. Let m = -667 + s. What is the common denominator of m and (-7)/4*2/2?
8
Let n be ((-30)/(-881))/((-15)/(-10)). Let y = n - 120817/5286. What is the common denominator of (77/(-3))/((-50)/(-15)) and y?
30
Let w = 94 - 618/7. Let x = 6313/7 + -897. Calculate the common denominator of x and w.
7
Let a = -28 - 0. Find the common denominator of a and -34/9.
9
Suppose 2*s - 3*p + 84 = 0, -2*s + 11 = 5*p + 63. Let d = s - -58. What is the smallest common multiple of d and 24?
264
Let s(p) = -p**3 - p**2 + p + 41. Let i be s(0). Suppose 4 + i = 5*k. Suppose 15*w + 0*w = 165. What is the least common multiple of k and w?
99
Let k be (-1467)/156 - 6/4. Let c = -37/13 + k. Calculate the common denominator of c and -35/22.
44
Let i(j) = -j**3 - 2*j**2 + 2*j. What is the least common multiple of 5 and i(-3)?
15
Let h(o) = o. Let u be h(6). Let c be 43 + -3*(-2)/u. What is the common denominator of 51/c + 1/(-4) and 18/5?
55
Let s(h) = -h**2 - 4*h - 2. Calculate the smallest common multiple of s(-2) and 7.
14
What 