ommon denominator of 7/4 and (-4)/5 + 416/(-180) + -1?
36
Let h be (-2 + 1)/((-1)/(-10)). Calculate the lowest common multiple of 4*4*(-5)/h and 2.
8
Let q be ((-4)/(-6))/((-2)/(-42)). Let z = -10 + q. What is the lowest common multiple of 19 and z?
76
Let j(c) = -c**3 + 9*c**2 + 2*c - 2. Let h be j(9). What is the common denominator of -4 + (h/52 - 0) and -101/2?
26
Let y(c) = -c**3 - 4*c**2 + c + 14. Calculate the least common multiple of 10 and y(-6).
80
Let g = 565/273 - -14/39. Let f = -470 + 25851/55. Let c = 48/385 + f. What is the common denominator of g and c?
7
Let a = 147 + -101. What is the smallest common multiple of 8 and a?
184
Let t(o) be the second derivative of -o**3 + 3*o. Suppose 2*c - 12 = 12. What is the smallest common multiple of t(-2) and c?
12
Suppose 0 = 5*n - 2*r - 84, -2*r - r = -n + 9. What is the lowest common multiple of n and 18?
18
Let z = 55/130029 + -10313683895/780174. Let c = z - -13228. Calculate the common denominator of c and (-26)/(-48)*42/(-4).
144
Let c = 13701/8 + -1709. Find the common denominator of c and -33/16.
16
Suppose 3*w - 3*c = -30, 3*w + 4 = 5*w + 4*c. Let v(z) = -7*z - 6. What is the smallest common multiple of v(w) and 2?
36
Let o = -4 - -11. Suppose -l = -2*f - 1, l = 4*f + 7 - 0. Calculate the common denominator of (l/o)/(18/(-35)) and 9/22.
198
Let s(g) = g**2 + g - 69. Let m be s(0). Let h = 115 + m. Calculate the common denominator of 11/2 and h.
2
Let s = -1 + -2. Find the common denominator of 137/6 and (s/54)/((-3)/426).
18
Suppose 2*w - 1 = 3. Suppose 23*t - 160 = 7*t. Calculate the smallest common multiple of w and t.
10
Let s = 53 + -45. What is the least common multiple of s and 2?
8
Suppose -3*f = -t + 72, t - 220 = -3*t - 5*f. Find the common denominator of (t/25)/(1/(-3)) and 43/4.
20
Let n = -4/35 - 89/140. Let s = n - -25/12. Let d = 4/83 - 3198/913. Calculate the common denominator of s and d.
33
Let x(r) = -9*r. Suppose -5*h = -5*p - 0*h + 80, 2*p - 12 = -2*h. What is the lowest common multiple of x(-1) and p?
99
Let l be ((-4)/(-3))/((-8)/(-36)). What is the common denominator of -51/8 and 146/12 + l/(-24)?
24
Let f(u) be the third derivative of u**5/30 - u**4/24 + 2*u**2. Let w be f(-5). Calculate the common denominator of 14*(w/12)/(-5) and 26/3.
6
Suppose 4*m + 3 + 5 = 0. Let z = -22051/20 + 1104. Calculate the common denominator of z and m - (-201)/(-42) - -2.
140
Calculate the common denominator of -74/27 and (-31)/(-90) + 3*(-2)/15.
54
Suppose 0 = 5*a + 7 - 87. Calculate the lowest common multiple of 2 and a.
16
Suppose 2*p - 90 = 40. Suppose -4*r = -0*r + 172. Let q = r + p. What is the lowest common multiple of q and 16?
176
Suppose 5 = 5*j - 85. Calculate the least common multiple of j and 16.
144
What is the common denominator of 69/(-33) - (-2)/(-2) and 35/3?
33
Let l = 2261/5 - 449. What is the common denominator of (-31)/(-2) - (-1 - 0) and l?
10
Let x(z) = z**3 + z + 14. Suppose 4*h - 68 - 16 = -5*i, 20 = 5*i. What is the smallest common multiple of x(0) and h?
112
Let k(y) = 17*y**2 + 2*y + 1. Let a be k(-1). What is the least common multiple of (4/8)/(2/a) and 1?
4
Suppose 63 = 3*p - u, -2*p - 9 + 52 = -u. Let y = 6 + 14. What is the lowest common multiple of y and p?
20
Let c(o) = o**3 - 2*o**2 - 8*o + 5. What is the lowest common multiple of 3 and c(4)?
15
Let u(x) = 3*x + 3. Let o be u(-3). Let q(p) = p**2 - 2 - 2 + 6*p + 5. What is the smallest common multiple of 3 and q(o)?
3
Let w(u) = -154*u**2 + 2*u - 1. Let x be w(1). Let o = 43 + x. Calculate the common denominator of -17/11 and (2/(-8))/((-4)/o).
88
Let m = 383/11 + -5193/176. Calculate the common denominator of m and 51/8.
16
Suppose -x + 2*x + 3*l = -5, l = -3*x - 7. Calculate the common denominator of (-4 - (x + 1)) + 48 and -57/4.
4
Let x(s) = -s**3 + 16*s**2 + 1. Let c be x(16). Let q = -1360/13 + 25039/234. Calculate the common denominator of q and 2 + (-23)/8 + c.
72
Let t(b) = -b + 4. Let u be t(2). Suppose -u*r + 12 = r. What is the lowest common multiple of ((-8)/(-20))/(1/5) and r?
4
Let l(d) = -d**3 - 5*d**2 + 2. Let m be l(-5). Suppose -m*i - 30 = -5*i. Calculate the smallest common multiple of i and ((-8)/(-6))/((-8)/(-36)).
30
Let m = 875/18 - 1981/36. What is the common denominator of 1/22 and m?
132
Let b(r) = r**3 - 14*r**2 + 12*r + 12. Let s be b(13). Let u be (2 - s/(-1)) + 18. Let c = -13 + u. Calculate the least common multiple of c and 3.
6
Suppose 0 = 4*m - 0 - 12. Let v = 1 + m. What is the smallest common multiple of v and 11?
44
Let s = -3/71066 - -604505167/106599. Let h = s + -5648. Find the common denominator of h and 14/(-24) + 2 - (-2)/6.
12
Let l(x) = x + 6. Let y be l(0). Suppose -4*b + 2 = -y. Calculate the least common multiple of 6 and b.
6
Let c(h) = -13 - 12*h**2 - h**3 + 0*h**3 + 0*h**2 + 2*h**2. Let w be c(-9). Find the common denominator of 16/9 and (w/30)/(2/(-3)).
90
Let q = -79 - -159. What is the lowest common multiple of 22 and q?
880
Find the common denominator of 83/20 and (-4)/(12/7)*(-2)/(-6).
180
Let u = -10/69 - 1921/552. What is the common denominator of u and -9/2?
8
Let w = -18 + 139/4. Let z(b) = -9*b**3 + 6*b**2 + 5*b + 5. Let l be z(-8). Let t = l - 99169/20. Find the common denominator of t and w.
20
Suppose 3*y + 2*y + 3*x = 148, 3*y - 108 = 3*x. Calculate the smallest common multiple of 12 and y.
96
Suppose 22 = 4*k - s, 5*k - 30 = 5*s + 5. Let w = k + -3. Let f = 10 - w. Calculate the smallest common multiple of 3 and f.
24
Let f = 1/266 - 18889/798. Let l = 0 + -5. Calculate the common denominator of f and (1/(-2)*-101)/l.
30
Let m = -59425161101/6741770760 - -1/44353755. Let c be 1*-12*3/(-190). Let o = m + c. Find the common denominator of -99/2 and o.
8
Suppose -2 = -2*y + 5*p, 2*y = 4*y + p - 2. Suppose 0 = -3*t - 0*t + 9. Calculate the least common multiple of t and y.
3
Let c = 178 - 187. What is the common denominator of c and 5/(-8)*22/(-10)?
8
Let v = 5119/6 + -847. Find the common denominator of v and 65/4.
12
Let t = -2948 - -35417/12. What is the common denominator of t and 113/14?
84
Let u = 803 - 14471/18. Let i = 6694663 + -67002217/10. Let v = 5548 + i. Calculate the common denominator of u and v.
90
Suppose -2 = 6*d - 3*d - 5*q, 0 = -2*q + 8. Find the common denominator of (-1)/(-5)*(-615)/d and 19.
2
Suppose -4*c + c - 12 = 0, -a + 4*c = -52. Let n be (6/80)/(a/2016176). Let j = n - 4202. What is the common denominator of j and -23/10?
30
Let k = 7 - 5. What is the least common multiple of 4 and 2*k - 18/6?
4
Let b = 9058/11 - 826. What is the common denominator of 75/34 and b?
374
Let u = -36 - -52. What is the smallest common multiple of 12 and u?
48
Let v = -7951 + 143203/18. Let d = 1635 - 6503/4. Find the common denominator of d and v.
36
Let d = 19 + -15. What is the lowest common multiple of 18 and d?
36
Let u(r) = -3*r**2 - 55*r + 17. Calculate the least common multiple of u(-18) and 45.
315
Let c(k) = 13*k**3 - 3*k**2 - k. Let f be c(-2). Let z = -41337/14 + 2956. Calculate the common denominator of z and f/32 - (0 - 0).
112
Let p(d) = -3*d**2. Let m be p(-2). What is the common denominator of -1 + -1 + (-26)/m and (-1 + 82/4)/(27/12)?
6
Let l = 10549435/72 - 146345. Let h = 1472/9 - l. Calculate the common denominator of h and 35/18.
72
Let t be 2 - 1 - (2 + -135). Let x = 1532 - 3381/2. Let y = x + t. Calculate the common denominator of -89/2 and y.
2
Suppose -2*x + 2*q + 20 = 0, 3*x - 3*q = -5*q + 5. Calculate the smallest common multiple of (-1 - -13) + (4 - 5) and x.
55
Let r be (-3)/6*4*1. Calculate the common denominator of (-1 - r) + 195/(-50) and -85/6.
30
Let x = 23 + -18. Suppose -14 = x*n - 114. Calculate the lowest common multiple of n and 14.
140
Suppose -2*m + 4*m = 6. Let z = m + 3. Find the common denominator of ((-123)/9)/((-22)/z) and -1/7.
77
Let f(n) = -n + 1. What is the lowest common multiple of f(-4) and 1?
5
Let b(k) = -k**2 - 6*k - 5. Let l be b(-4). Let v(d) = 4*d - 4. Calculate the least common multiple of v(l) and 8.
8
Let b be (-2)/(-4) + 3 + 1288977/(-145620). Let p = 133278737/19416 + -54915/8. Let v = p + b. Find the common denominator of -5/22 and v.
220
Let m be 0/((-1)/(4/8)). Let l = -751/8 - -3291/40. Find the common denominator of (0 - m) + 1/11 and l.
55
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