
Let l(x) = 14*x + 12. Let c(a) = -9*a - 8. Let v(f) = 8*c(f) + 5*l(f). What is the smallest common multiple of v(-7) and 1?
10
Suppose 2*g + 7*m - 97 = 4*m, -g + 66 = -2*m. Calculate the least common multiple of 12 and g.
168
What is the smallest common multiple of 6 and (-32)/(-24)*15/2?
30
Let l = -4485 - -40291/9. Find the common denominator of (2/(-20))/((-4)/95) and l.
72
Let h(p) = -p**3 - 3*p**2 - 4. Let z be h(-4). Suppose 4*w = 3*w + z. What is the smallest common multiple of 2 and w?
12
Suppose 2*o - 26 = -z - z, -5*o = z + 7. Calculate the smallest common multiple of z and 22.
198
Let c = 117 + -81. Suppose -a - a + c = 0. What is the least common multiple of a and 4/(-4) - 9/(-3)?
18
Suppose -32 = m + 2*c + 3*c, 0 = 2*m + 2*c + 24. What is the lowest common multiple of -40*(m/5 + 1) and 6?
48
Let m = -25 - -39. Find the common denominator of -37/4 and (-1781)/(-1456) + (-4)/m.
16
Suppose 4*o + 3*f + 7 = 0, -6*o + o + 3*f = 2. Find the common denominator of o + 62/28 + -1 and -17/10.
70
Let p(c) = c**2 - 4*c - 15. Suppose -2 - 10 = -z. What is the smallest common multiple of p(7) and z?
12
Let r = 1556/5 + -321. What is the common denominator of -1*(0 + 142/6) and r?
15
Calculate the common denominator of 231/30*(0/5 + -1) and 10/7.
70
Suppose 3*q + 5*w - 61 = q, -3*w - 25 = -q. Let v = q + -20. What is the smallest common multiple of v and 20?
40
Suppose -a + 794 = -459. Let n = a - 4927/4. What is the common denominator of n and 59/10?
20
Let j = -5/22 - -163/88. Calculate the common denominator of -40/9 and j.
72
Let g = 20 - 16. Calculate the least common multiple of g and 10.
20
Let w(r) = -4*r - 3. Let t be w(-3). Let c = t + -5. Suppose 0 = n - c*n + 18. What is the smallest common multiple of n and 6?
6
Let r(y) be the first derivative of -y**2 + 2*y - 1. Calculate the least common multiple of r(0) and 3.
6
Let o(q) be the first derivative of q**2 - 4*q + 1. What is the smallest common multiple of 18 and o(7)?
90
What is the common denominator of (1 + 2)/(22/6) and -6/7?
77
Let w(b) = b**2 - 4*b - 2. Let u be 4/(-22) - 285/(-55). What is the smallest common multiple of w(u) and 3?
3
Suppose -2*q = 4*u - 20, -q + 4*q = 4*u - 10. What is the lowest common multiple of q and 6?
6
Let h(c) = 3*c - 1. Let o(q) = q**3 - 8*q**2 - 9*q - 1. Let r be o(9). What is the least common multiple of r/(2/16*-1) and h(4)?
88
Suppose -2 = -2*o + 5*r, 0 = -3*r + 5*r - 4. What is the smallest common multiple of 11 and o?
66
Let f = 25 + 18. Suppose 3*y - f = 11. Suppose 0*m = 3*m - 42. What is the lowest common multiple of m and y?
126
Calculate the lowest common multiple of 416 and 291/18 + -1 + 15/18.
416
Calculate the common denominator of -99/10 and 4/(-1) + (-101)/12.
60
Suppose d = -1 + 5. Suppose 2*y = 0, -2*g + 2*y - 5 = 3. Let c = d - g. Calculate the smallest common multiple of 4 and c.
8
Let s(n) = 2*n**2 - 2*n - 1. Let l be s(2). Let i(p) = 3*p**2 - p - 2. What is the lowest common multiple of 18 and i(l)?
198
Suppose -4*m + 38 = 2*n - 4*n, -m - 7 = 5*n. What is the smallest common multiple of m and ((-3)/2 - -3)*4?
24
Let p = 5/68 - -91/612. What is the common denominator of -59/4 and p?
36
Let g be (-1)/(-49)*2/(-2). Let t = -2557/441 - g. Let b = 1241/154 + 5/22. Calculate the common denominator of b and t.
63
Let j = -719882/303723 - 2/11249. What is the common denominator of -59/3 and j?
27
Suppose -2*u = 3*u - 2*b - 80, -4*u + 82 = 2*b. Suppose 3*d = d - 2. What is the least common multiple of u and 18 - d - (-3 + 2)?
180
Suppose 0*o - 2*o = -x - 35, 3*o - 3*x = 48. Suppose v + o = 5*g, 3*g - 9 = -v + 4. What is the lowest common multiple of 2 - (-2 + v - -2) and 10?
10
Suppose 0*u + 10 = -5*u, -5*z + u = -47. Calculate the smallest common multiple of 12 and z.
36
Let t(p) = -2*p + 2. What is the lowest common multiple of t(-2) and (-4)/(-8) - 6/(-4)?
6
What is the common denominator of 63/2 and (-2)/9 - (-2 - 6344/1008)?
14
Suppose 0 = -2*x - 0 - 2. Let r = x + 11. Let i(v) = -v - 4. Calculate the least common multiple of r and i(-8).
20
Let j = 3751/4 - 933. Let f = 32646591/5 - 10708068939/1640. Let t = 3/820 + f. Calculate the common denominator of t and j.
8
Let n = 7 + 1. Let p be (-54)/(-4) - (-30)/20. Suppose 3*b = 3*i + 6, -5*i = -2*i - p. What is the least common multiple of n and b?
56
Suppose 5*s - 34 = 6. Let x = 13 - s. Calculate the smallest common multiple of x and 1.
5
Suppose -5735 = u - 0*p - 2*p, u + 3*p + 5745 = 0. Let m = 126285/22 + u. Find the common denominator of m and -7/4.
44
Suppose -3 - 1 = s. Let q = -3 - s. What is the least common multiple of (-3 - (0 - 4))*q and 8?
8
Let p = -7/548 + -4723/274. Let c = -1/20246347 - -47639656525/41181069798. Let z = -24/113 + c. Find the common denominator of p and z.
36
Suppose j - 2*j + 28 = -u, 0 = 4*u + 4. What is the smallest common multiple of j and 30?
270
Suppose 3*p = n + 14, -6*n = p - n - 10. Calculate the least common multiple of 11 and p.
55
Suppose -3*c + 175 = 2*c. Find the common denominator of 2 + 0 - c/(-16) and 43/10.
80
Suppose -4*n - 4*z = -13 - 7, -n - 5*z = -17. Let g = n + -1. Suppose -5 = -v + 2. Calculate the smallest common multiple of v and g.
7
Find the common denominator of 25/3 and ((-1)/(-12))/(15/545).
36
Find the common denominator of (-41 - -27)*2/(-22) and -89/8.
88
Let t = 2 + 3. Suppose -3*z - 64 = -11*z. What is the smallest common multiple of t and z?
40
Suppose 4*h = 3*h. Suppose h = -5*x + 36 + 19. Calculate the lowest common multiple of 1 and x.
11
Let j = -9 - -18. What is the smallest common multiple of 10 and j?
90
Let n = -13869/70 + 1452/7. What is the common denominator of 49/12 and n?
60
Suppose 3*s + 2 - 8 = 0. Calculate the lowest common multiple of 10 and s.
10
Let w = 6474 + -77621/12. Let u = -23939 + 430781/18. Find the common denominator of w and u.
36
Calculate the smallest common multiple of 6 and ((-22)/(-6))/((-2)/(-12)).
66
Calculate the common denominator of 406/(-16)*(-33)/(-77) and 19/11.
88
Let i be -2 + 0 + (-4)/4. What is the smallest common multiple of 2 + i*3/(-3) and 6?
30
Suppose -75 = -4*n + 3*r, 3*n - 3*r = 2*n + 21. Let i = 4 + n. What is the lowest common multiple of -2*-2*(-21)/(-6) and i?
154
What is the common denominator of 49/14*(-5)/(-7) and -58/7?
14
Suppose 5*g = g + 16. Calculate the smallest common multiple of g and 2.
4
Let g = -35 - -21. Let o = 41 + g. Let f = o + -15. Calculate the least common multiple of 10 and f.
60
Find the common denominator of 13/2 and ((-21)/28)/((-6)/164).
2
Let l be (-2)/(-8) + 12158/(-24). Let z = 9077/18 + l. Let o = 3791/6 - 657. What is the common denominator of z and o?
18
Let w(t) = -t**2 + 12*t - 25. Calculate the common denominator of 21/11 and w(10).
11
Suppose 0 = -k + 7. Let i = k + -4. Suppose -3*p = i*f - 12, 15 = 5*p + 3*f - 5. Calculate the least common multiple of p and 10.
20
Let s = 434/27 - 2617/216. Calculate the common denominator of 49/27 and s.
216
Calculate the common denominator of 83/174 and (303/4)/((-63)/14).
174
Let g(z) = z + 6. What is the smallest common multiple of g(0) and (-3)/3*(-1 - 3)?
12
Let n be 7/(-28) + 17429/(-36756). Let s = -2/1021 - n. Calculate the common denominator of s and 117/14.
126
Suppose -12 - 38 = -2*v. What is the common denominator of -43/10 and (-12)/9 + 1 - v?
30
Suppose 14*d + 30 = 492. What is the lowest common multiple of 27 and d?
297
Calculate the common denominator of (-44)/16 + 0 + -1 and (-17)/5 + (-12)/(-48).
20
Let g = 659 + -300. What is the common denominator of g/30 + 2/(-3) and 15/2?
10
Find the common denominator of -77/10 and 2/5 - (-1269)/(-1260).
140
Let n be 3/2 - 37/(-2). Let c be 0 + -2 - (-241637)/n. Let t = -12077 + c. What is the common denominator of -99/20 and t?
20
Let m(a) = -5*a**3 - a**2 + a + 1. What is the lowest common multiple of m(-1) and (16/12)/((-2)/(-15))?
20
Let m = 2 + -1. What is the common denominator of 13/20 and 0 - (-66)/(-40) - m?
20
Let f = -494867/20 + 24749. Find the common denominator of 83/6 and f.
60
Suppose -8 = 3*q + 4*n - 0, n = -3*q - 11. Let k(u) = u**3 + 5*u**2 + u - 3. Calculate the least common multiple of (q/14)/(3/(-21)) and k(-4).
18
Suppose 2*j = -3*t - 0*t - 11, -j - 5*t - 23 = 0. Calculate the common denominator of (-