+ i. Find the common denominator of (((-145)/18)/1)/(1*(-30)/45) and g.
48
Let s(a) = -3*a - 21. Calculate the least common multiple of s(-12) and 10.
30
Suppose 3*g = 18 + 9. Let u = g - 13. Calculate the smallest common multiple of 20 and 24 + u + (4 - 2).
220
Find the common denominator of (86/(-6))/(8/(-12)) + -7 and 103/992.
992
Calculate the lowest common multiple of 9 and (-81)/(-2) - 408/272.
117
Suppose -5*r + 2*t = -0*t - 8, -r + 3*t - 1 = 0. What is the common denominator of -2 + 85/(-24) + r/4 and 19/18?
72
Let q = 4 - -8. Let d = -6 + q. Calculate the least common multiple of (-30)/(-9) - (-4)/d and 6.
12
What is the smallest common multiple of 12/21 + (-10168)/(-434) and 123?
984
Suppose 17 = 2*g - l, 25 = 3*g - l - 0. Calculate the least common multiple of 270 and g.
1080
Suppose -2*f + 3*l = -5, -3*f - 3*l + 19 = 4. Let h(u) = -18*u + 388. What is the lowest common multiple of h(15) and f?
236
Let r = 55278/23 + -2402. Let z = r - 59/621. What is the common denominator of z and -10/33?
297
What is the smallest common multiple of 12 and 23*(-8)/((-20)/5)?
276
Let n(a) = -4*a**2 - 74*a + 44. What is the lowest common multiple of 22 and n(-19)?
66
Let o(u) = -u**3 + 3*u**2 - u - 7. Let z(j) = -5*j**3 + 14*j**2 - 6*j - 34. Let a(b) = -11*o(b) + 2*z(b). Calculate the smallest common multiple of a(5) and 6.
12
Let i = 14/1809 + 93157/39798. Calculate the common denominator of -77/48 and i.
528
Suppose -4*u = -2*g + 562, 9*u - 7*u - 1144 = -4*g. What is the smallest common multiple of g and 45?
855
Let w = -2342 - -14119/6. Calculate the common denominator of w and -39/10.
30
Suppose 3*c + 104600 = -2*c. Let w be 14/16*(-294944)/c. Let y = w + -19/523. Calculate the common denominator of 99/8 and y.
40
Let t = 1386 + -5513/4. Let n(x) = x**3 + 17*x**2 + 31*x + 13. Let z be n(-15). Calculate the common denominator of t and -2 + (-1 - (z - 46/22)).
44
Let b = -5 + 2. Let p = b - -5. Calculate the least common multiple of p and 2/(-16) - 5670/(-560).
10
Let b(f) = -5*f + 42. Let s be b(8). What is the common denominator of -7/4 and -62*13/(-120) + s/(-15)?
12
Suppose 0 = 322*c - 325*c + 156. What is the least common multiple of 16 and c?
208
Suppose z = 3*d + 11, z - 5*d - 12 = 5. Suppose -15 = -z*w + 2*r + 7, 0 = 4*w + 4*r - 28. What is the smallest common multiple of w and 9?
9
Let z = -5143/1208 - -20/151. Let h = -126955/18 - -7056. Calculate the common denominator of z and h.
72
Suppose -4*d + 7*v + 32 = 3*v, -31 = -2*d + 5*v. What is the lowest common multiple of 6 and d?
6
Suppose -130 = -7*b - 18. Suppose 0 = 3*u + 5*h - 30, -h - h + b = 2*u. Suppose -m = u, 4*m = -c - 24 + 6. What is the smallest common multiple of c and 20?
20
Suppose -t = 4*j - 9, -j - 2*t = 4*j - 15. What is the least common multiple of 4 and j?
4
Let m be 2/((-32)/(-72052)) - 0/(-4). Let c = m - 4526. What is the common denominator of 107/20 and c?
20
Let p(z) = 4*z + 13. Let b be p(-5). Let k(g) = g + 10. Let c be k(b). Suppose -m + 8 = -c. Calculate the least common multiple of m and 18.
198
Let r = 3177/5 - 123788/195. Let d = r + 27/13. Calculate the common denominator of -49/2 and d.
6
Suppose 5*o + r + 16 = 0, 0 = -4*o - 0*r + r - 11. Find the common denominator of o - (303/(-42) - -4) and 85/6.
42
Suppose t = 5*y, 0 = 2*t - 4*t + 3*y + 28. Suppose -3*z + 33 + 3 = 2*x, -2*z + 24 = -3*x. What is the least common multiple of z and t?
60
Let a(p) = -14*p**2 - 2*p - 1. Let g be a(-1). Let m = -12 - g. Calculate the common denominator of (-415)/(-14)*m/5 and -59/22.
154
Let k = 92/79 + -4765/632. Let w = 36413/10 - 3637. Calculate the common denominator of k and w.
40
Suppose -7*n + 4*n = -153. Suppose -r + 3*p = 2*r - n, -29 = -2*r - 3*p. Suppose 60 = 185*i - 180*i. Calculate the smallest common multiple of r and i.
48
Let s(o) = -o**3 + 8*o**2 - 13*o + 7. Calculate the least common multiple of s(5) and 10.
170
Calculate the common denominator of 2 - 10/(800/133) and 63/40.
80
Let f(t) = -1 - 3*t + 7*t**3 - 4*t**3 + 5*t**2 - 4*t**3. Let k be f(4). Calculate the least common multiple of -1*(-16 + k + 3) and 9.
90
Let n = 5 + 0. Suppose 6*z = n*z - 3. Let d = z + 8. Calculate the smallest common multiple of d and 3.
15
Let t = 484 + -434. Calculate the lowest common multiple of t and 80.
400
Calculate the common denominator of 177/(-24)*1/(-7) and -57/4.
56
What is the smallest common multiple of (-1992)/(-5 + -1) - 2 and 14?
2310
Let m be 2 + (-1 + 4)/3. Suppose -16 = m*j + 92. What is the smallest common multiple of (12/j)/((-2)/48) and 10?
40
Suppose 5*z + 3682 = 5012. Calculate the lowest common multiple of z and 14.
266
Let o(k) = -k**3 + k**2 - k + 9. Suppose 3 = 4*s - 9. Suppose h = s, -h = r + 3*h - 12. What is the lowest common multiple of 7 and o(r)?
63
Suppose -o = s - 4*o - 7, 2*o = 0. Let u = -73 - -134. Suppose u = 4*a + 17. What is the lowest common multiple of s and a?
77
Let i = 1105 - 859. What is the lowest common multiple of 9 and i?
738
Suppose 0*m - 4*m = -572. What is the common denominator of 26/m - 177/(-418) and 83/18?
342
Let y = 66 - 61. Suppose 4*s + 5*h + 0 = 60, -y*h = 2*s - 40. Calculate the smallest common multiple of 10 and s.
10
Let i = -1356 + 6742/5. Find the common denominator of -21/76 and i.
380
Suppose -5*k + 0*k = -100. Suppose -v = -6*v + 15. Suppose g - 8 = -v*g. Calculate the least common multiple of k and g.
20
Let j = -1837 - -1847. Calculate the lowest common multiple of j and 1424.
7120
Let u(y) = -13*y**2 + 3*y + 2. Let p be u(-1). Let j = 23 + p. Suppose -4*f = 3*z - 21, -2*z = f - j - 5. What is the lowest common multiple of 2 and z?
14
Let u = -487/7 + 2134/35. Calculate the common denominator of -27/8 and u.
40
Let m = 1348280 + -3071381779/2278. What is the common denominator of -47/10 and m?
11390
Suppose 0 = -2*z - 4*o + 36, 4*z + 22 - 94 = -o. Suppose -6*q + 37 = 4*l - q, 4*q = 4. What is the smallest common multiple of z and l?
72
Let a be 45/(-6) - (-5)/(-10). Let r = -2632/9 - -892/3. Calculate the common denominator of r and (-20)/a*(-106)/10.
18
Let t(u) = -2*u + 16. Let v = -14 - -19. What is the least common multiple of 8 and t(v)?
24
Let u be ((-452)/6)/((-6)/(-18)). Calculate the common denominator of 1 - 3 - (-30)/8 and 2 + u/40 - 2.
20
Suppose -3*x = 3*w - 48, 3*x + 23 = 3*w + x. Suppose -3*q + w + 25 = 0. Let g = 18 + 2. What is the lowest common multiple of g and q?
60
What is the common denominator of 1/(-18)*4779/(-378) and -119/60?
420
Suppose -3*y + 5 = -4. Suppose u + 24 = 5*o, -y*o - o + 23 = 3*u. Suppose 0 = -11*g - 11*g + 132. Calculate the least common multiple of o and g.
30
Let d = -51533889 + 79619848001/1545. Let r = -2/1545 + d. Calculate the common denominator of (4/(-42))/((-1)/36) and r.
35
Let h be (-66)/18 + (-2)/(-3). What is the common denominator of ((-141)/(-9))/((-10)/h) and 137/12?
60
Suppose -3*t - 5*r = -12, 2*r = -0*r. Calculate the least common multiple of t and 9.
36
Let a = -518 - -526. Calculate the least common multiple of 4 and a.
8
Let q = -48907613/12 - -4071823. Let f = q + 3816. Find the common denominator of f and 13/6.
12
Let n = 939/4 + -233. Find the common denominator of (-306)/(-44) - 12/(48/20) and n.
44
Calculate the common denominator of 881/(-70) + 4/14 and (-18 + 6)*(11/28)/(-1).
70
Let o be 2*5 + -1 - (8 + -8). Calculate the smallest common multiple of 75 and ((-1)/3)/((-3)/o).
75
Suppose 3*y = -j - 62, y + 3*j + 29 = j. Let h = y - -89. What is the least common multiple of 18 and h?
630
Suppose -4*v = 13*a - 9*a - 2548, 5*v = a + 3173. Let s = -21/10 - -3438/5. Let i = s - v. Calculate the common denominator of 28/11 and i.
22
Let r be (12/14)/(8/28). Let n be (-2)/(-4) + (-9)/(-6). Suppose 0 = -2*d + d - 5*a + 38, -n*d - r*a = -48. What is the least common multiple of d and 6?
18
Suppose -10*q - 18 = -4*q. Find the common denominator of 2/(-9) + (-10)/(-18) and (-123)/(-120) + q/24.
30
Suppose -l + 0*l - 1428 = 0. Let t = 8489/6 + l. Let w = -13/16 + 245/16. Find the common denominator of t and w.
6
Let a = 82 + -40. Let c = -10 + a. Find the common denominator of -57*4/c + 3 and 36/5.
40
Suppose -80 = -4*m + 4*g, 2*g + 3*g + 20 = 0. Suppose m*v + 14 = 18*v. What is the least common multiple of 3 and v?
21
Let j = -7993 + 159897/20.