0 and f.
20
Let s = 17 + -9. Let n(b) = -b**2 - 77*b + 1712. What is the smallest common multiple of s and n(18)?
8
Calculate the common denominator of 76/240 + 9/(-6) and -127/60.
60
Suppose 3*l = 2*l + 6. Suppose -3*u + l = -0*u. Calculate the least common multiple of 22 and u.
22
Suppose -5*s = -39 + 19. What is the smallest common multiple of s and 18?
36
What is the smallest common multiple of (44/36 - 1) + 250/9 and 12?
84
Suppose 8 = -6*m + 7*m. Suppose 3*u - 4*v - 17 + 5 = 0, -3*u + 2*v + 18 = 0. Suppose f + u = 14. Calculate the lowest common multiple of m and f.
24
Let g = -1080 - -10773/10. What is the common denominator of g and -47/20?
20
Suppose 4*d - 15*d + 1012 = 0. What is the lowest common multiple of 48 and d?
1104
Let v(h) = -h**3 - 7*h**2 - 7*h - 37. What is the lowest common multiple of v(-7) and 8?
24
Suppose -7 + 5 = 2*l. Let i(v) = -8*v - 4 + 1 + 4. Calculate the least common multiple of i(l) and 10.
90
Let g = -1/1702 - 22115/18722. What is the common denominator of 43/103 and g?
1133
Let s = 4/1203 + 44447/19248. Find the common denominator of s and (-1 + 22/12)/(6/(-126)).
16
Suppose -2*l - 5*y = 40, -3*y = -4*l - 22 - 32. Let r = 14 + l. Find the common denominator of r - (-220)/(-16) - 1 and 3/8.
8
Calculate the smallest common multiple of 110 and 213 + (56/(0 - -4) - 7).
220
Let j = -1844293025/516 - -3574220. Let t be -2 - (322/172)/(-1). Let z = j + t. Calculate the common denominator of z and 53/6.
12
Find the common denominator of -31/166 and (24/(-10) - -2)/((-36)/(-3555)).
166
Suppose -2*o - 2*c = -83 + 7, 3*o + 5*c - 110 = 0. What is the least common multiple of o and 40?
40
Let u = -6544/57 + -33644/171. Let h = 14296/45 + u. Find the common denominator of h and 47/36.
180
Let r = 531/4 - 1039/8. Let k(d) = -d**2 - 8*d + 6. Let y be k(-10). Find the common denominator of (-7)/y*(-79)/(-2) and r.
8
Let y(u) = -u**2 - 19*u - 63. Let n be y(-20). Let a = 99 + n. What is the least common multiple of 16 and a?
16
Let i(o) = -o + 16. Let n = -23 - -9. Let g be i(n). Suppose -3 = y + a, 2*y - 3*a - g + 11 = 0. What is the lowest common multiple of 20 and y?
20
Suppose -5 - 20 = -5*k. Suppose 0 = 3*n - 4*n + 7. Suppose 6*w + 10 = n*w. Calculate the least common multiple of k and w.
10
Suppose 2*q - 1 = q. Let g be (24/15 + q)*-31. Let x = g - -1081/10. Find the common denominator of x and 21/8.
8
Let u = 79 - 41. Let z = -30 + u. Calculate the least common multiple of z and 9.
72
Let t be (12 + 20)/(2*1). What is the common denominator of 37/4 and -12 + t + (-136)/6?
12
Suppose -7*l + 16 = -3*l. Let q(k) = k**2 - 2. Let y = -2 + -1. What is the least common multiple of q(y) and l?
28
Suppose -5*r = 3*i + 70, 3*i - 2*r = -33 - 23. Let h = i - -24. Let c(o) = o**2 + 2*o + 1. Calculate the least common multiple of h and c(-3).
4
Let k = 129877/14 - 9281. Let y(f) = -5*f - 5. Let c be y(-4). Calculate the common denominator of k and c/6*(-65)/(-35).
14
Let t = 465103/27 - 17228. What is the common denominator of -38/21 and t?
189
Suppose -19 = -4*r + 65. What is the smallest common multiple of 249 and r?
1743
Let l be 18/(-27) - 2614/(-6). Let s be (1064/48)/(1/l). Let v = s - 347227/36. What is the common denominator of 19/22 and v?
396
Let k = 312109/63030 - -8/2865. Find the common denominator of 75/88 and k.
88
Suppose -3*r + 12 = -u + 2*u, 4*r + 5*u - 16 = 0. Suppose -l = 2*y - 6*l + 5, 3*l = 2*y + 7. Let k = y + 21. Calculate the lowest common multiple of r and k.
16
What is the common denominator of 74*(7 - (6 + 33/36)) and 6/(-1)*1 + 1?
6
Suppose 6*l + 252 = 414. Calculate the lowest common multiple of 15 and l.
135
Let n = 1042 - 1032. Calculate the least common multiple of n and 82.
410
Let v = -585760 - -6902003/12. Let t = v + 10585. What is the common denominator of -1*((-262)/(-16) - 4) and t?
24
Let y = 1716 + -12065/7. Calculate the common denominator of y and -37/38.
266
Suppose 188 = 10*w - 1352. Calculate the lowest common multiple of 154 and w.
154
Let w = -10 - -5. What is the least common multiple of (0 - -1) + 46 + -41 and 8/(-10)*w/2?
6
Let k = -20 - -18. Let z(y) = -y**2 - 3*y - 2. Let j be z(k). Let u(q) = q**2 - q + 8. What is the lowest common multiple of 6 and u(j)?
24
Let f(w) = -2*w**2 + w - 1. Let p be f(1). Let z be ((-1)/p)/((-6)/180). Let q = z - -27. Calculate the lowest common multiple of 4 and q.
12
Let u = 42 - -120. What is the smallest common multiple of 6 and u?
162
Let y = -142 - -289. Suppose y = -30*b + 27*b. Find the common denominator of b and 21/11.
11
Let y(z) = 44*z**2 - 2*z - 1. Let w be y(-1). Let o be w/(-6)*4/(-5). Calculate the common denominator of 49/8 and o/100*175/10.
40
Let h = -18 - -20. Let s(l) = -l**2 + 7*l - 6. Let x be s(4). Suppose x + h = b. What is the lowest common multiple of b and 14?
56
Let n = 35 - 34. Let w(s) = 21*s + 1. Calculate the smallest common multiple of 10 and w(n).
110
Suppose j = 3*v - v - 37, -5*j = 4*v - 67. Suppose x + 3 = r + 6, 3 = -5*r + x. Suppose 5*h + 10 - 100 = r. Calculate the least common multiple of v and h.
18
Let h = -1922 - -1982. Calculate the lowest common multiple of h and 60.
60
Let i = -5759/1336200 - 1/9825. What is the common denominator of 35/44 and i?
7480
Calculate the least common multiple of 24 and (-131520)/137*4/(-10).
384
Let a(s) = -4*s**3 + s + 1. Suppose -24 = -2*p - 5*m, 4*p + m - 80 = -m. Let q = 21 - p. What is the least common multiple of a(q) and 41?
164
Let g = 782 - 770. Suppose 0 = -5*d - 0*o + 2*o + 17, 8 = 2*o. What is the lowest common multiple of g and d?
60
Let t be (14/4 + -2)*1388/(-78). Let y = t - -361/52. Find the common denominator of 63/8 and y.
8
Suppose -12*l + 17*l = 0. Suppose l*g = -g + 1. Calculate the lowest common multiple of g and 8.
8
Let q = 171119/84 + -14258/7. What is the common denominator of q and 41/76?
1596
Suppose 2*v = -5*x + 206, 0*v - 123 = -3*x - v. Suppose -636 = 118*i - 171*i. Calculate the lowest common multiple of x and i.
120
Suppose 3*g = -3*y + 537, -199 = -y + 5*g - 10*g. Calculate the lowest common multiple of 9 and y.
522
Let h be 1 + ((-2)/(-3))/(8/12). What is the common denominator of 302/48*h*(-32)/16 and -27/7?
42
Suppose -2*o + 3*k = -42 - 19, 0 = -4*o + 2*k + 110. Let h = -2/5097 + 105344/15291. Calculate the common denominator of h and o/(-4)*1 - 2.
18
Let f(t) = t**2 - 8*t - 5. Let s be f(9). Suppose s*p + 359 - 95 = 0. Calculate the common denominator of (-819)/(-26)*8/p and -71/4.
44
Let z be (-3 - 83/(-2))*24. Let p = 1801/2 - z. Find the common denominator of p and 56/6*10/(-8).
6
Suppose 2 = 3*s - 2*s. Calculate the lowest common multiple of (-49 + 10 + -3)*1/(-3) and s.
14
Suppose -39 = 4*f + 21. Calculate the common denominator of 3/(-6) - (-96)/f and 4/56*3/3.
70
Let b(f) = f**3 - 5*f**2 + 4*f. Let g be b(4). Suppose g = 3*v - 3 - 51. Calculate the lowest common multiple of v and 6.
18
Let g = 553327/22 + -25147. Find the common denominator of g and (-2)/7 - 723/140.
220
Let s = -6 + 7. Suppose -42 = 2*m - 8*m. What is the least common multiple of m and s?
7
Suppose 40*q = 36*q + 64. Calculate the smallest common multiple of q and 38.
304
Calculate the least common multiple of (15/(-12))/(3/(-144)) and 42.
420
Let f(q) = q**2 - q - 52. Suppose g + 4*l - 8 = 3, 3*g = -l + 77. Let p = g + -9. What is the smallest common multiple of p and f(-8)?
180
Let r(j) = j**3 + j**2 - 4*j. Let f be r(3). Let u = f + 42. What is the common denominator of 117/u + 3/(-6) and -93/16?
176
Let t be 24/15*10/4. Let z be (t + -6 - 0) + -1958. Calculate the common denominator of 125/18 and z/(-48)*6/(-80).
144
Suppose p - 5*c = 17, 5 + 3 = p - 2*c. What is the smallest common multiple of p and (-18)/(-5)*5/2?
18
Let j = -10 + 74. Calculate the least common multiple of 44 and j.
704
Let z = -1 - -5. Let n(j) = j**3 - 8*j**2 + 8*j + 1. What is the smallest common multiple of z and n(7)?
8
Suppose 3*h + 5*x = -62, h + 30 = 5*x - 2*x. Let o = 32 + h. Calculate the lowest common multiple of o and 20.
40
Suppose -16 = 4*h, 2*p - 5 = h + 11. Suppose 2*a = 4*s + a, 0 = -2*s - 4*a + 18. What is the least common multiple of 8 + s + (-2)/(-2) and p?
30
Let b be 3 - 1/3*0. Let q be b/(3 + (1 - 3)). Suppose -7*c = -q*c - 4. Calculate the lowest common multiple