 x(z) = z**3 + 3*z**2 - z - 3. Let t be x(n). Suppose 3*m - 18 = 4*g + 4, 4*m + g - 42 = t. What is the lowest common multiple of 4 and m?
20
Suppose 3*p = 1 - 10. Let a = p - -10. What is the least common multiple of 4 and a?
28
Let o(b) be the second derivative of -b**4/12 + 3*b**3/2 - 7*b**2/2 + b. Calculate the smallest common multiple of o(7) and 8.
56
Let t(b) = -2*b + b + 0 - 3. What is the least common multiple of t(-5) and 46?
46
Let a(t) = 14*t**3 - 2*t**2 + 2*t - 1. Let v be a(1). Let w = v + 18. Let u = -949/44 + 87/4. Find the common denominator of w and u.
11
Calculate the common denominator of -19/21 and ((-12)/8*19)/(1 - 10).
42
Let x = 351/35 - -4/7. Find the common denominator of x and 71/3.
15
Calculate the common denominator of -49/16 and -2 + 7/((-14)/45).
16
Let r = 2 - 5. Let q = r - -1. Calculate the common denominator of 47/4 and (10 - q)*(-32)/132.
44
Let c be 35 + -5 + 4 + -4. Let k = c - 18. What is the lowest common multiple of k and 16?
48
What is the least common multiple of 2 and (1 + -4)/((-6)/32)?
16
Let j = -4042 + -172. Let o be -1 + 101468/(-24) - -2. Let r = o - j. Find the common denominator of -25/6 and r.
6
Calculate the common denominator of -3 + 4/((-56)/(-3)) and 5/(-12)*(-305)/(-25).
84
Let l = 218/63 + -5/21. Let d(s) be the second derivative of -s**4/6 + 2*s**3/3 - s**2/2 - 5*s. Find the common denominator of l and d(6).
9
Let g(y) = -2*y. Let h(i) = 15*i**2 - 1. Calculate the smallest common multiple of h(-1) and g(-2).
28
Suppose 4*m - 21 = -5. Suppose f + 9 = -m*o + 35, -4*f + 56 = 4*o. What is the lowest common multiple of f and 3?
30
Let f(c) = -c**3 - 16*c**2 + 17*c + 22. Let u = -7 + 5. What is the lowest common multiple of 22 - 0/(0 - u) and f(-17)?
22
Suppose 20 - 12 = 4*r. What is the least common multiple of 7 and r?
14
Suppose 4*z + 15 = -5*x, 28 = 2*x + x - 5*z. Calculate the lowest common multiple of 2 and x.
2
Calculate the least common multiple of 4 and 1 + 2 - (-2 - 1)*1.
12
Calculate the common denominator of 98*(0 + 5/(-120)) and -67/3.
12
Suppose 23 - 7 = 4*y. Suppose 0 = 4*t + 4*z - 5*z - 19, 10 = 5*t - y*z. What is the least common multiple of t and 8?
24
Let n = 8 - 5. Let k(t) = t**3 - 6*t**2 + 6*t - 4. Calculate the least common multiple of k(5) and n.
3
Let o = 6/1421 - 140703/5684. What is the common denominator of 46/4 + 2/(-8) and o?
4
Let g(s) = 6*s**2 + s. Let x be g(-1). Suppose -4*y = -3*d - 2*y + 52, -d = x*y + 11. What is the common denominator of 7/20 and 4/d + 575/(-70)?
140
Calculate the common denominator of 13/4 and 9*4/(240/(-78)).
20
Let y = 12 + 30. Let n = -4284 - -25769/6. Calculate the common denominator of n and y/(-22)*1/6.
66
Let p(w) = w**2 - 7*w + 21. What is the smallest common multiple of p(6) and 24?
120
What is the smallest common multiple of 1*(-5 - -2) - -15 and 6?
12
Suppose 0 = -3*q + 32 - 2. Suppose 2*i - 2 = 3*o, o + i + 2*i = 14. Calculate the smallest common multiple of o and q.
10
Let t(p) be the third derivative of -p**5/60 - 7*p**4/24 + p**3 + 2*p**2. Let a be t(-7). What is the lowest common multiple of (-3)/(0 - a/28) and 14?
14
Let k be (50/(-40))/((-2)/16). Let q = k + -5. Calculate the least common multiple of 7 and q.
35
Let c = 5/8494 + 543361/433194. Find the common denominator of 23 and c.
51
Let j(v) = -v**2 - 215. Let w be j(0). Let t be (w/(-5))/((-4)/(-1)). Let o = 37/4 - t. What is the common denominator of o and -33/10?
10
Let o = 3 + 0. Calculate the lowest common multiple of 4 and o.
12
Let w be 2/(-3)*(0 + -3). Suppose -g = -0*g - 1, w*v = 2*g - 9780. Let x = v - -78305/16. Find the common denominator of -77/20 and x.
80
Let p(b) = b**3 - 5*b**2 + 7*b - 6. Suppose 2*j - 4 = l + 4, -20 = -5*j + 2*l. What is the lowest common multiple of p(j) and 3?
6
What is the common denominator of -5/48 and 4869/(-1188) + (-4)/(-22)?
48
Suppose 6*d = -3*n + 4*d + 167, -5*n = -3*d - 310. Let p = n + -184/3. Let s = 2963/10 + -306. Find the common denominator of p and s.
30
Let c = -2/24311 - -2017853/486220. Let k = 15/1418 - 10291919/7090. Let s = -130309/90 - k. Find the common denominator of c and s.
180
Let h = -1 - -5. Suppose 14*d - 30 = 9*d. Calculate the smallest common multiple of 40/6*d/h and 5.
10
Suppose -t = 4*y + 1 - 3, 3*y = -t + 3. What is the least common multiple of 14 and t?
42
Suppose 5*p + 5 = -0*p. Let m = 1 - p. Calculate the lowest common multiple of m and 9.
18
Let k = -4/463 + 24563/2778. Let j = -1/1748 - 6490321/5244. Let w = j - -1219. Calculate the common denominator of k and w.
6
Let m(v) = 5*v**2 + v. Let w be m(-1). Calculate the common denominator of 83/(-8) - (6 - w) and 69/4.
8
Suppose 11 - 3 = 2*i. Let c be (i/(-432))/((-2)/(-28)). Let h = 823/108 - c. What is the common denominator of -101/6 and h?
12
Let p(q) = 2*q**2 + 4*q + 2. Suppose 0*j = 6*j + 18. What is the lowest common multiple of p(j) and 10?
40
Let i = 8/23 - 346/69. Calculate the common denominator of i and -19.
3
Suppose 5*t = -14 - 76. Let f = t + 26. Suppose -3*x - f = -68. What is the smallest common multiple of x and 6?
60
Let q(h) = -h**2 + 11*h - 6. What is the smallest common multiple of 20 and q(8)?
180
Let p be -4*(-3)/(-3)*-2. Suppose p*a = 7*a + 3. Calculate the least common multiple of a and 11.
33
Let m(w) = 2*w + 2. Let a be m(-11). Let p = -14 - a. What is the least common multiple of p and 4?
12
Suppose 4*q = q + 9. Suppose -2*k - 16 = -4*g, 0*k - 4*g - 14 = q*k. Calculate the common denominator of (-6)/8*k - 0 and -33/8.
8
Suppose -4*n + 12 = -f, 5*f - 1 = -5*n - 11. What is the common denominator of -50/7 and (-43)/(-6)*n + 0?
21
Suppose 0 = -3*z, 0 = 2*k + z + 2 - 6. Suppose k*c + 4*m + 6 = -0, m = -5*c + 21. Calculate the lowest common multiple of c and 10.
10
Let m(u) = -u**2 - 11*u - 19. What is the smallest common multiple of m(-8) and 5?
5
Let o = -21612485/156 - -138541. Let j = o - 1/78. What is the common denominator of (94/(-48))/((-10)/15) and j?
48
Let n = 13 - 12. What is the least common multiple of 3 and n?
3
Let o = -175713/16 + 10987. Find the common denominator of o and (4/(-176))/((-2)/148).
176
Let c = -1 + -13. Find the common denominator of (10/(-12))/(9/(-75)) and ((-1)/c)/((-7)/(-77)).
126
Suppose -4*g + 32 = -2*r + 5*r, -4*g = -5*r. Suppose -3*k = -8 - 7. Suppose -k*h + 60 = g*d, 5*d = d - 8. Calculate the smallest common multiple of 4 and h.
28
Let n = -1137934/207 + 102144/23. Let p = -1051 - n. What is the common denominator of 0 and p?
9
Let o(y) = y**2 + 9*y - 24. What is the least common multiple of o(-12) and 20?
60
Suppose -d + 6 - 4 = 0. Suppose -d*z = x - 25, -4*z - 20 = -5*z + x. Let n = -9 + z. Calculate the smallest common multiple of 4 and n.
12
Let k = 8/29 - -1921/290. What is the common denominator of k and 3/15*75/4?
20
Let s = 53 + -33. Calculate the least common multiple of s and 12.
60
Suppose -2*r - c = 0, 3 = r - 0*c - c. Let t(n) = -1. Let z(h) = 2*h**2 + 3*h. Let d(g) = r*z(g) + 3*t(g). What is the smallest common multiple of 22 and d(-3)?
66
What is the lowest common multiple of 1 - (-2)/(-6) - 75/(-9) and 9?
9
Let n = 1871/3534 + -35/62. Let h = 69299867/228 - 303958. Let z = h + n. Calculate the common denominator of 107/6 and z.
12
Suppose x = -2*x + 66. Calculate the smallest common multiple of x and 8.
88
Suppose 6 = 2*s + 2*g, s - 2 - 13 = -4*g. What is the least common multiple of 3 and s/((-1)/(-6)*-2)?
3
Let q(t) = 2*t + 2*t**2 + 0*t**2 + 3 - t**2. Calculate the smallest common multiple of q(-3) and 4.
12
Let o = -3731/6 + 1835/3. Let b = -4676 + 65383/14. What is the common denominator of b and o?
42
Let t = 1087/34 + -110/17. Calculate the common denominator of t and 97/4.
4
Suppose 4*q = g - 2 - 1, 5*g - 5*q = 0. What is the least common multiple of 14 and g + 3*4 - 1?
70
Let h be (-15)/2*(-24)/(-9). Let f = h - -30. What is the least common multiple of f and 22?
110
Let p be 2/9 + 16/9. Let s = p + -1. What is the least common multiple of s and 9?
9
Let t(f) = f**3 - 10*f**2 + 11*f - 12. What is the least common multiple of 20 and t(9)?
60
What is the least common multiple of (3 - 12/6)*3*11 and 18?
198
Let w = -7290 + 87427/12. Let q = 13/4 - w. Calculate the common denominator of -50/3 and q.
3
Let i = -6/1643 - -129881/23002. Let w = 6214 + 