denominator of (-2)/3*(985/40 + 5) and -93/14.
28
Let d be (28/(-10))/(287/(-420)). Let g = d + 1/410. What is the common denominator of g and 121/12?
60
Let j = -13 - -5. Let k = -304205/18 - -16905. What is the common denominator of k and (-39)/28 + 2/j?
126
Let l be -1*(-1 - -2 - 1). Suppose -6*p + p + 10 = l. Calculate the least common multiple of 10 and p.
10
Suppose 0 = -4*a + 36 - 4. Suppose 4*d - a = 2*d + 2*z, 4*d - 2*z = 12. Let c = d - -4. What is the lowest common multiple of c and 8?
24
Let z(d) be the third derivative of d**5/60 + d**4/8 - 4*d**3/3 - 7*d**2. Calculate the least common multiple of 4 and z(-6).
20
Suppose 4*q - 56 = -c, c + 3*q - 45 = 8. What is the least common multiple of c and 44?
44
Let h be 2/(16272/(-27934)) - 0. Let k = -5/452 + h. Let d = 3/1240 + 3025/248. What is the common denominator of d and k?
45
Let u be (-13 - -1) + (-2)/2. Find the common denominator of u/(-7) - (-1 - -1) and -21/8.
56
Suppose p + 4 - 11 = 4*y, 0 = -4*p - 3*y + 47. Calculate the least common multiple of p and ((-1)/(-2))/((-3)/(-18)).
33
Let q(k) = -4*k - 2. Let r be q(5). Find the common denominator of (r/12)/((-1)/(-2)) and -38/11.
33
Let j(k) = -2*k**3 - 7*k**2 - 7*k - 6 + 3*k**3 + k. Let t(v) = -9*v - 1. Let u be t(-1). Calculate the lowest common multiple of j(u) and 6.
30
Calculate the common denominator of 3/14 and (62/(-27))/((-4)/(-6) + -2).
126
Suppose -j = 4*f - 58, 0 = -5*f + 4*j + 60 + 2. Calculate the smallest common multiple of 284 and f.
1988
Suppose -14*f + 35 = -9*f. What is the smallest common multiple of f and 5?
35
Suppose 0*a = -2*a + 3*o + 7, 3*o - 7 = -5*a. What is the least common multiple of a and 30?
30
Suppose 0 = -2*j + 6*j - 28. What is the least common multiple of j and 9?
63
Suppose 9 = -4*s + 5*z, -1 + 24 = 2*s + 3*z. What is the lowest common multiple of s and 1 + -2 + -1 + 5?
12
Suppose 5*r - 7 = 3. What is the smallest common multiple of 22 and r?
22
Let c(x) = 17*x**3 + x**2. Let g = 18 + -16. Calculate the smallest common multiple of c(1) and g.
18
Let c be 4/(-3)*6/(-4). Suppose 3*x = -3*v - 0*x + 78, x + c = 0. What is the common denominator of (12/14)/(10/v) and -57/5?
5
Let o = 12 - -23. What is the least common multiple of (-8)/(-10) - (-252)/o and 1?
8
Find the common denominator of (-93)/(-24) - (3 - 3) and -87/10.
40
Let y = 8 + -4. Let k(r) = r**2 - 6*r. Let z be k(y). What is the lowest common multiple of (-66)/4*z/12 and 8?
88
Suppose -11 = -3*y - 0*w - 5*w, 3*w - 3 = -3*y. Let v = -123/8 + 577/24. What is the common denominator of y*(-30)/(-22) - 0 and v?
33
Let o = -625/2 - -269. Calculate the common denominator of o and (-284)/(-36)*3/4.
12
Suppose 5*r - 72329 = 826. Let q = -2618942/179 + r. Let y = q + 6767/895. Calculate the common denominator of 38/3 and y.
15
Let m = -8 - -14. Suppose 42 + 138 = 5*j. Suppose 0*r = -2*r + j. What is the smallest common multiple of m and r?
18
Suppose 0 = -2*y + 3*a + 8, y = a + 4*a + 11. Calculate the smallest common multiple of 5 and y.
5
Suppose -d = -z + 2, -5*z - 2*d + 6*d + 15 = 0. Calculate the common denominator of 109/22 and (609/(-30))/z - 1.
110
Let n(c) = -3*c - 4. Let x be n(-3). Suppose 3*u = 16 + x. Let l(k) = -k + 1. Calculate the least common multiple of l(-5) and u.
42
Let y(l) = -2*l**3 + l**2 - 1. Let d be (0 + 2 - 2)/2. Suppose d*r + 24 = 3*r. What is the smallest common multiple of y(-1) and r?
8
Let f = 20341 - 366265/18. What is the common denominator of -97/38 and f?
342
Suppose -5*d + 29 = -21. Suppose -2*x - d = -7*x. Suppose -x*b + 2 = -0*b. What is the least common multiple of b and 1?
1
Let j(u) = -u**3 - 3*u**2 + u - 5. Calculate the least common multiple of 0 + 237/21 + (-4)/14 and j(-4).
77
Suppose -4*p + 76 = 4*w, 5*p - 29 - 30 = -3*w. Calculate the lowest common multiple of w and 9.
18
Let i(v) = -v + 4. Calculate the smallest common multiple of i(-3) and (-12 - -2)*2/(-4).
35
Calculate the common denominator of ((-16)/360)/((-8)/1430) and -1 + 14*(-5)/16.
72
Suppose -4*k - 1 + 0 = -o, 2*o + 3*k = -20. Let g = 12254/4715 - -1/943. What is the common denominator of g and o/21 + -1 + -23?
15
Let s(c) = -c**3 + 8*c**2 + 2*c - 4. Let f be s(4). Let l = -46 + f. What is the smallest common multiple of 6 and l?
66
Let j(k) = k**2 - 3*k - 5. Let w be j(6). What is the common denominator of (-2)/w - (-1724)/(-624) and -97/8?
24
Suppose -2*s - 11 = -3*x, 0 = -3*s + s + 2*x - 6. Suppose 3*v - 58 = -2*l, 0*v - 4*v = -3*l - 66. Calculate the smallest common multiple of v and s.
18
Let t be 708*((-16)/(-3) - 2). Let b be (-3)/6*2*t. Let x = b - -25910/11. Find the common denominator of 123/10 and x.
110
Let c(j) = j**2 + 2*j + 2. What is the lowest common multiple of c(0) and 16?
16
What is the lowest common multiple of 2 and 0/(-1) + 3 + 2?
10
Suppose 4*k - 8 = -g - k, -2*k = 2*g - 48. Calculate the common denominator of (2/5)/(g/(-511)) and 9/22.
110
Let g = 157 + -153. Calculate the smallest common multiple of g and 9.
36
Let m = -7/8 - -9/8. Find the common denominator of -25/16 and m.
16
Let p be (-3)/2 - 3/(-6). Calculate the common denominator of 117/14 and p - (356/48 - -2).
84
Let x = 9273/4 + -2299. What is the common denominator of -49/12 and x?
12
Let g = 26 - 15. Let f = -3 + 5. What is the least common multiple of g and f?
22
Let w = 282/7 + -228/7. Find the common denominator of -53/10 and w.
70
Suppose 0 = -r + 4*m - 23, -r + m + m - 13 = 0. Let i = -5 - r. What is the smallest common multiple of 6 and 3*i/(-12)*2?
6
Suppose -n + 224 = 3*n. Let m = 136 - n. Calculate the common denominator of ((-6)/m)/((-3)/(-82)) and 37/22.
220
Calculate the common denominator of -97/2 and (15/54 - -1) + -2.
18
Let o = 13787925 + -192947235/14. Let c = o + -5976. Find the common denominator of c and -55/16.
112
Let g(j) be the third derivative of -j**4/12 - 2*j**3/3 + 8*j**2. Calculate the smallest common multiple of g(-11) and 16.
144
Let u(o) = 2*o**2 - o - 1. Let y = -136 - -142. What is the least common multiple of u(-3) and y?
60
Let p(o) = -o**3 + 3*o**2 + 3*o. Let i be p(-2). Let b = 34 + -14. Let u = b - i. Calculate the smallest common multiple of 20 and u.
60
Let g(s) = s**3 + 5*s**2 - 7*s + 8. Suppose -3*v - 30 = 2*v. Calculate the lowest common multiple of g(v) and 28/7*(-14)/(-4).
14
Suppose -6*h + 5 = 2*b - 3*h, -3*b + 5*h = 21. What is the common denominator of ((-11)/4)/(5/b) and 10/(-8)*24/(-20)?
10
Suppose 2*p + 0 = -5*z + 94, 8 = z - 5*p. What is the smallest common multiple of 14 and z?
126
Calculate the common denominator of 8/15 and 5*1/(-3)*132/(-270).
135
Suppose 4*c - 10 = 6. Let t be 1 - ((2 - c) + 0). Suppose -b - 2 = -t*b - 2*v, -19 = -4*b + v. What is the lowest common multiple of 18 and b?
36
Let y(o) = -4*o - 22. What is the least common multiple of y(-8) and 7?
70
What is the least common multiple of 7 and 2/(-7) - (-360)/35?
70
Let b(t) = t**2 - 5*t - 4. Let j(i) = 5*i**2 - 2*i - 1. Let x be j(-1). Let q be b(x). Suppose -q*s + s = -20. What is the least common multiple of 6 and s?
60
What is the smallest common multiple of 11 and 5 + 0/(2 + -3)?
55
Calculate the least common multiple of 11 and 0 - 4 - (0 + -15).
11
What is the common denominator of 1/4*(-22)/8 and -13/22?
176
Suppose 4*t - 5834 = 3*q, -2*q - 2*t - 3884 = -6*t. Let a be 0 + 2/q*16. Let n = 20833/1950 - a. What is the common denominator of n and -14/9?
90
What is the smallest common multiple of 33 and 1*33 - (9 - 9)?
33
Let b = 5 - -1. Find the common denominator of (73/6)/((-9)/b) and 10/7.
63
Let j = 746/451 + 126/41. What is the common denominator of j and ((-69)/(-8))/(3 + (-12)/2)?
88
Let i = -49 + 50. What is the smallest common multiple of i and 14?
14
Suppose 2*f = -f + 3*w + 3, 0 = f + 5*w - 19. Let v = f + 4. Suppose t - 5*z - 1 = 0, -6*t + t = 5*z - 5. What is the lowest common multiple of t and v?
8
Suppose -15*n = -18*n - 9. Find the common denominator of 3/10 and 0 + 35*n/54.
90
Let c = 814 - 796. Let w(g) be the second derivative of 23*g**3/6 - g**2/2 + g. Calculate the least common multiple of w(1) and c.
198
Let x = 4 + -7. Find the common denominator of x + (-186)/(-16) + -1 and -7/11.
88
Suppose 0 = -2*x + 8. Calculate the least common multiple of 36 and x.
36
Let w = 10 - 5. Calculate the least commo