1. Let c(g) = h(g) + 2*r(g). What is the lowest common multiple of c(-6) and 9?
9
Let p = -8 - -4. Let d = p + 8. Let n(a) = a**3 + 12*a**2 - 48*a - 23. Calculate the lowest common multiple of n(-15) and d.
44
Let c = 28 + -28. Suppose -4 = 3*x - 5*k - c, -2*x = 3*k - 10. What is the least common multiple of x and 10?
10
What is the common denominator of 59/20 and (-30)/400*5/6?
80
Find the common denominator of 0/(-9) - ((-190)/12)/(-5) and -79/2.
6
Let x(k) = 2*k**2 - 4*k + 5. Let t be x(4). Let d = t + -5. Calculate the lowest common multiple of 20 + -3*(-6)/9 and d.
176
Let w(u) = u**3 - 7*u**2 + 7*u - 4. Let t be w(6). Let v be ((-54)/(t + 0))/1. Find the common denominator of 63/4 and (357/(-4))/(v/2).
36
Find the common denominator of 4 - (-1)/(-2)*105 and 16/7.
14
What is the common denominator of -1/4 and (-615)/50*(2 + -1)?
20
Let o be ((-4)/520)/(3/59). Let w = o + -1/65. Find the common denominator of -35/3 and w.
6
Let s be (7/(-4))/((-2)/8). Calculate the common denominator of 61/16 and (-2)/(-4) - 32/s.
112
Let d be (-21)/2*8/(-4). Calculate the common denominator of -11/5 and (3*-1)/(d/58).
35
Let x be (-3 - 0) + (-1630)/(-578). Let b = -26993/5780 + x. Find the common denominator of 69/16 and b.
80
Calculate the common denominator of -91/44 and -114*(-1)/(-10)*(-5)/(-32).
352
Let q = -184/3 - -6259/102. Calculate the common denominator of q and 43/6.
102
Suppose -4*s - 2*y = 94, -103 = 2*s + s - 5*y. Let u = -18 - s. What is the least common multiple of u and 6?
24
Let s = 2 + -1. What is the least common multiple of s and 1/(-4) - 41/(-4)?
10
Let h = 3 + 3. Calculate the least common multiple of ((-1)/(-2))/((-1)/(-36)) and (-1)/h + (-52)/(-24).
18
Let q = -233/3 + 3797/48. What is the common denominator of 91/4 and q?
16
Let b be (-2283338)/(-3990) + (-6)/(-10). Let x = -132/665 + b. Let u = x + -582. Calculate the common denominator of u and -45/11.
33
Suppose u = -m + 3*m, -4*m - 2*u = -8. Calculate the smallest common multiple of m and 2.
2
Let s = -2668374/11 - -31635829/132. Let f = s - -2904. What is the common denominator of f and 13/16?
48
Let z be 20/(-5) + 1*-10. Let r = 36 + z. What is the lowest common multiple of 22 and r?
22
Suppose q - 3 = 0, 0 = 3*d + 4*q - 63 + 24. Let z = -54 - -62. Calculate the lowest common multiple of z and d.
72
Let u = -5605 + 44931/8. Find the common denominator of u and 51/11.
88
Suppose 0 = -3*a + 3*c + 6 + 6, 3*a = 5*c + 16. Suppose 0 + 4 = 4*b. What is the least common multiple of b and a?
2
Calculate the common denominator of -11/3 and (-177)/(-12)*(-12)/27.
9
Let b = 652 - 1976/3. What is the common denominator of b and 52/75?
75
Let n be -3*(-12)/9*-1. Let w(m) = -m**2 - 9*m - 6. Let k be w(n). Let q = k + -2. Calculate the lowest common multiple of q and 6.
12
Find the common denominator of (-123)/(-21) + -4 + 1 and 13/9.
63
Let l = -49 - -57. Calculate the smallest common multiple of l and 1.
8
Let w(z) = -z**3 - 18*z**2 - 16*z + 23. Calculate the smallest common multiple of 4 and w(-17).
12
Let o be 0/2 + 103492/440. Let r = o + -1164/5. Find the common denominator of r and 81/10.
110
Suppose 4*g = -5*b + 30, b = 3*b - g - 12. Calculate the least common multiple of b and 144/28 + 5 - (-2)/(-14).
30
Let r(x) = -6 + 10 + 2*x + 7*x**2 - 3. Let j(v) = v**3 + v**2 - 1. Let z be j(0). Calculate the lowest common multiple of r(z) and 20.
60
Let p = 1/1920 - 75841/1920. Calculate the common denominator of p and 2 - 162/4 - -1.
2
Let z be (-3218)/(-117)*9/12. Let y = z + -370/13. Find the common denominator of y and 11/10.
30
Suppose -5*q + 39 = -81. Suppose -r + 3*r - q = 0. Calculate the least common multiple of 2 and r.
12
Let a = 2472 + -14939/6. What is the common denominator of 127/36 and a?
36
Let p be (-11 - 3)*367/(-2). Let u = p + -56461/22. Find the common denominator of (-1)/(-3) + (-118)/12 and u.
22
Suppose 5*g + 172 = -68. What is the common denominator of 151/20 - (-12)/g and -37/20?
20
Let x = 76/35 - -209/210. Calculate the common denominator of 29/6*(-4)/2 and x.
6
Let a = 9 + -5. Let c(s) = s**2 - 4*s - 3. Let p be c(5). Suppose i + 2*j = 14 + p, -j = i - 15. What is the smallest common multiple of i and a?
28
Let s(q) = q**2 - q - 4. Let g be s(4). Let r = 26179/4560 - -56/285. Calculate the common denominator of r and (-162)/g + 7/(-14).
16
Suppose 7*w - 64 = 3*w. Let q(o) = o**3 - o**2 + 2. Let r be q(0). Suppose -k = -5*n + 103, -r*k - k = 9. Calculate the least common multiple of n and w.
80
Let g be (-2 - 32/(-10))*55. Suppose 6*x = 3*x + g. What is the lowest common multiple of 8 and x?
88
Suppose -2*m + 4 = 3*c, -4*c - m = -3*m - 10. Calculate the least common multiple of c and 23.
46
Suppose x - 45 - 43 = 0. Suppose x = 5*k - 4*l, 0*l = -k - 4*l + 32. Calculate the lowest common multiple of 22 and k.
220
Let d be (-474)/(-66) - 4/22. Find the common denominator of 51/11 and ((1932/(-8))/d)/5.
110
Calculate the smallest common multiple of 16 and 34 + -2 - -5 - (-1)/(-1).
144
What is the least common multiple of 6 and (-29)/(-4) + -2 + 11/4?
24
Let q = -58489/18 - -3255. Calculate the common denominator of -95/6 and q.
18
Let r = -2/3637 - -549199/21822. Calculate the common denominator of 4/8 + -1 + 37/(-14) and r.
42
Suppose 2*m + 18 - 150 = 4*p, m = 5*p + 66. What is the smallest common multiple of 16 and m?
528
Suppose -4*f + 0*f + 132 = 0. Suppose 0 = -x - 4*k - 7, -k - 62 = 4*x - 2*k. What is the common denominator of 67/2 and x/9*f/(-14)?
14
Calculate the smallest common multiple of -21*(-3)/9 - -1 and 2.
8
Let q = 51107/12925 - -1/2350. Let y = -6629 + 132609/20. What is the common denominator of q and y?
220
Let m(u) be the first derivative of u**4/4 - u**3 + 3*u**2/2 - u - 4. Calculate the lowest common multiple of 10 and m(2).
10
Suppose 0*g - 90 = -5*g. Calculate the lowest common multiple of g and 4.
36
Suppose 0*q = -2*q + 4. Suppose -f + 3*f + 88 = -4*o, 0 = -2*o - 4*f - 32. Find the common denominator of q/3*(-188)/o and 13/9.
9
Let u = -3 - -4. What is the common denominator of 2 + 0 - 29/(-7) and (-46)/(-5) - (u - 3)?
35
Suppose -2*s + 6*s - 5*k = -12, 12 = 2*s + 2*k. Calculate the smallest common multiple of 3 and s.
6
Suppose -5*t + 38 = -62. Suppose m - 2*m + 10 = 2*v, -5*v = -5*m - 10. Calculate the smallest common multiple of m and t.
20
Let f(o) = -222*o**3 + o**2 - o. Let n be f(1). Let u be (n/9)/((-8)/(-30)). Let a = -57 - u. Calculate the common denominator of a and 137/18.
18
Let u = -1251/22 + 11531/220. What is the common denominator of -3/22 and u?
220
Let z be ((-8)/(-6))/4*9. Suppose 0*s + 2*h = -z*s + 30, 2*s + h - 19 = 0. Calculate the smallest common multiple of s and (-65)/(-9) - (-8)/(-36).
56
Let c = -84310 + 844191/10. Let k = -109 + c. Calculate the common denominator of k and (-398)/72 + (-1)/4.
90
Let j = -143687/54 - -5319/2. What is the common denominator of 43/10 and j?
270
Let v = -28 - -229/8. What is the common denominator of v and -54/11?
88
Let u(r) = r**2 - r + 90. Let k be u(0). Suppose -5*h + 0*h = -k. Calculate the lowest common multiple of 4 and h.
36
Let b(o) = -2*o**3 + 2*o + 1. Let r be b(-1). Calculate the common denominator of 99/20 and 17/36 - r/(-4).
180
Suppose c + 13 = 4*d, 6*c = c + 15. Calculate the smallest common multiple of (-1)/2*0 - -8 and d.
8
Let w = 71933/18 - 3995. Find the common denominator of w and (82/14)/(12/14).
18
Let v = -2/2627 - 102409/57794. Let l be 2901/8649 - 2/6. Let y = -77821/9610 - l. Find the common denominator of y and v.
110
Suppose -j = -0*j - 22. Calculate the lowest common multiple of 1*3*220/30 and j.
22
Let p = -14/393 - -18176/2751. Let q(w) = -2*w. Let z be q(1). What is the common denominator of p and z - 46*3/42?
7
Let m be (22/(-24))/((-3)/(-33666)). Let q(n) = n**2 - n - 10310. Let v be q(0). Let p = m - v. Calculate the common denominator of p and 51/22.
66
Let x(u) = u**2 + u. Suppose -3*q = q + 16. Calculate the lowest common multiple of 12 and x(q).
12
Let f = -16 + 20. Suppose 8 + 4 = 4*g. Calculate the lowest common multiple of g and f.
12
Suppose -3*f + 55 = q, 0 = -5*f - q - 0*q + 95. Suppose -5*d + f = 0, d + 17 = r + 3*d. What is the least common multiple of (16 + -1)/(3/2) and r?
90
Find the common denominator of (6 + -11)*1/22 and -