 - 3/(-7).
84
Suppose 2*d - 6*d + 32 = 0. Let m(w) = -w**3 + 8*w**2 + 4*w - 8. Let q be m(d). Suppose -g + q = g. What is the least common multiple of 20 and g?
60
Let b = -7559/356 + -3/178. What is the common denominator of b and -57/20?
20
Let w(n) = n + 11 - 8 + 0*n. Let d be w(-4). Let y(s) = 11*s**2 + s. Calculate the least common multiple of 12 and y(d).
60
What is the common denominator of 17/48 and (-3 + 1 - -5) + (-94)/(-12)?
48
Let z be -14*(7 + -4)/(-3). Suppose -15*l + 6 = -z*l. Calculate the smallest common multiple of 2 and l.
6
Let a = 3 - 0. Suppose 9 = -3*f, 0 = 3*g + f - 6 + a. Calculate the least common multiple of 7/((-49)/(-142)) + (-4)/14 and g.
20
Let i(k) = k**3 + 7*k**2 - k - 5. Let g be i(-7). Suppose p = -u - 85, 5*u - 136 = -g*p - 576. Find the common denominator of 717/u + 2/(-6) and -35/4.
20
Let w = 6698 - 3529. Let j = -6477/2 + w. Let h = j + 475/8. What is the common denominator of h and -59/7?
56
Let n(s) = -s - 3. Let w be (-4)/24*2*39. Suppose 16 = 3*l - 8. What is the least common multiple of l and n(w)?
40
Let x be (-6)/((10/(-28))/5). Suppose x = -0*u + 4*u. Let n = -13 + u. What is the lowest common multiple of n and 18?
72
Let l(w) = 1 + w**3 + w**3 + 2*w**3 + w - 5*w**3. Let u be l(-1). Suppose 15 + u = 2*t. What is the lowest common multiple of t and 2?
8
Let d = 124 + -225. Let z = 705/7 + d. Find the common denominator of 46 and z.
7
Let z be 12*-1*(3 + -34). Calculate the common denominator of 1/(-2)*z/(-66) and 1/2 - 174/(-44).
11
Let b(x) = -x**3 - 7*x**2 - 7*x - 1. Let l be b(-6). Let z = l + -2. Calculate the lowest common multiple of 2 and z.
6
Let h(q) = q + 5*q**2 + 0*q**2 + 1 + 4*q**3 - 5*q**3. Calculate the lowest common multiple of h(3) and 16.
176
Suppose -4*o - 17 + 49 = q, 2*o = 4*q - 92. Let s be -1 + (525/q)/5. Let y = -13/56 + s. What is the common denominator of -13/2 and y?
14
Suppose 3*y + 1 = -11. Let z = 6 - y. Calculate the lowest common multiple of z and 6.
30
Let x(m) = -5*m - 8. Let z be 0/1 + 120/(-2). What is the lowest common multiple of x(-6) and ((-10)/25)/(2/z)?
132
Find the common denominator of -5/12 and (1 - 6)/((-3)/(42/4)).
12
Let k = 0 + 1. Let z(u) = 15*u**2 + 9*u - 2. Let c(g) = 7*g**2 + 4*g - 1. Let h(i) = 7*c(i) - 3*z(i). Calculate the smallest common multiple of h(k) and 7.
28
Let w be 2/(-8) - (-36)/16. Suppose -6*d + 12 = -w*d. Calculate the lowest common multiple of 6 and d.
6
Let p(b) = -b + 8. What is the lowest common multiple of p(0) and 5?
40
Suppose 12 = 5*b - 13. Suppose 3*r = -2*o - o + 12, r = -b*o. Let l = 9 - r. Calculate the smallest common multiple of 5 and l.
20
Let n(x) = 5*x**2 + 8*x + 1 + 8 + 2 - 6*x**2. Let c be n(9). Suppose c*f - 5 = f. What is the smallest common multiple of 9 and f?
45
Let s(x) be the third derivative of -x**6/120 + x**5/10 - x**4/4 + x**3 + 2*x**2. What is the least common multiple of 2 and s(5)?
2
Let t = 9941/252 + -281/7. What is the common denominator of -73/12 and t?
36
Let h = 1/17879581 + 2663074192031/250314134. Let s = -10646 + h. Calculate the common denominator of -31/16 and s.
112
Let q = -14967/20 - -1507/2. Calculate the common denominator of q and -81/38.
380
Let o = -21084 + 864552/41. Let j = o + -1859/410. Calculate the common denominator of 71/10 and j.
10
Let o be ((-1)/(-26))/((-3)/6). Let r = -19/78 - o. What is the common denominator of r and ((-2)/5)/(12/(-45))?
6
Let h(d) = 11*d - 2. Calculate the least common multiple of h(2) and 18.
180
Let c = -32645/21464 + 1003099795/124212168. Let o = -1/1286 - c. Find the common denominator of 3 and o.
9
Suppose -5*f = 3*x - 97, -x + 38 = 2*f + x. Calculate the smallest common multiple of f and ((-13)/((-39)/(-6)))/((-2)/8).
40
Let z = -119 + 205. What is the least common multiple of 8 and z?
344
Let y = -2371 + 4837/2. Let t = -291791/84469 - 1/7679. What is the common denominator of y and t?
22
Suppose 0*k = 5*l + 5*k - 95, -5*l + 71 = -3*k. Calculate the least common multiple of l and 6.
48
Suppose 5*l = 4*v + 71, -3*l + 4*v = -l - 38. Suppose n + 25 = 2*k, -k + n + l = -0*k. What is the least common multiple of k and (24/(-10))/((-9)/30)?
56
Let n = 1321/2 - 628. Calculate the common denominator of n and 47/10.
10
Let k = -8 - -16. Let i be 0 + -1 - (0 - 2). Let z = i + k. What is the lowest common multiple of 1 and z?
9
Let j = 185028 + -1683076/9. Let z = j - -1983. What is the common denominator of 23/8 and z?
72
What is the common denominator of (-2)/(-8) - 440/32 and 7/10?
10
Let k(f) be the second derivative of f**4/12 - 7*f**3/6 + f**2 + f. Let g be k(7). Suppose 10 = -g*s + 3*s. Calculate the least common multiple of s and 18.
90
Calculate the common denominator of -2 - 87/16 - -2 and 450/80 + 2/8.
16
What is the least common multiple of 39 and 1 + (-10)/12 + (-35)/(-6)?
78
Let v(l) = l**2 + 7*l + 9. Let n be v(-7). Let b(a) = -n - 1 - 6*a + a + 3*a. What is the smallest common multiple of b(-7) and 18?
36
Let r be 310/752*(-532)/(-20). Let n = 17/188 - r. Find the common denominator of n and 63/4.
8
Calculate the common denominator of 1/10 and (138*(-2)/(-16))/(-3).
20
Let c(d) be the first derivative of 2*d**3/3 + 9*d**2/2 + 4*d + 1. What is the lowest common multiple of c(-6) and (8/10)/(3/60)?
176
Let p = -4 - -7. Suppose 1068 = -5*a + p*a - 5*g, -4*g = 0. Let k = -2111/4 - a. Calculate the common denominator of -61/5 and k.
20
Let i(y) = 9*y. Let f be i(2). Calculate the common denominator of 27/4 and ((-15)/10)/(f/(-38)).
12
Let a be 28*(140/(-16))/7. Calculate the common denominator of (-4)/(-10) + 309/a and -33/10.
70
Suppose 0*p + 9 = -p. Let z be (-19)/180*p/(-6). Let i = 1/24 - z. Calculate the common denominator of 3 and i.
5
Let r be (2 + 0)/((-2)/7). Let p be (9201/(-378))/(r/3). Let z = p - -330/49. What is the common denominator of z and 113/20?
60
Suppose 0 = 5*m - f - 14, -m - 9*f = -4*f + 18. What is the least common multiple of m and 4?
4
Calculate the common denominator of -31/20 and (-24)/(-12) - (-54)/8.
20
Suppose -8*a = -4*a. Let x(q) = -2*q**2 + 3*q**2 + a*q**2 - q. What is the lowest common multiple of 6 and x(2)?
6
Let b(u) = -1031*u - 12. Let g be b(-9). Let v = 203833/22 - g. Calculate the common denominator of v and 33/14.
154
Let a = -41 - -58. Suppose -4*d - a = 3*x - 45, -4*x - 6 = d. What is the lowest common multiple of 4 and d?
20
What is the common denominator of (0 - 2) + (-750)/(-72) and -75/34?
204
What is the least common multiple of 6 - (-5)/((-20)/(-16)) and 12?
60
Let g be (3 + -3)/(3 - 5). Find the common denominator of 55/14 and -2 + g + 55/(-6).
42
Calculate the common denominator of 190/(-14)*(-35)/10 and 53/16.
16
Let f = 135089/33380 + 5/1669. Let d be (-2258)/(-12)*(-6)/(-10). Let r = d + -467/5. What is the common denominator of f and r?
20
Let x(u) = u**3 + 15*u**2 - 2*u - 20. Calculate the lowest common multiple of 10 and x(-15).
10
Suppose -3*i = -4*b + 4, -7 = -b - 3*i + 9. Calculate the least common multiple of b and 10.
20
Suppose 72 = -3*m - 39. Find the common denominator of -28/9 and 0 - (-1)/5*m.
45
Suppose 3*f + 0*f - 6 = 0. What is the smallest common multiple of (7 - -3) + (-4)/f and 10?
40
Let i be 2/(-6) - (-25)/(-15). What is the common denominator of (-1580)/(-448) - i/7 and (0 - 39/3)/16?
16
Let o(h) = -8*h - 1. Let b be o(-2). Calculate the least common multiple of 3/b - 218/(-10) and 20.
220
Suppose 0 = 2*o, -2*z = -z + 3*o - 41. Let f = -25 + z. What is the least common multiple of f and (-2 + 2 - 1)*-2?
16
Let n = 56 - 34. Let m(u) = -2*u**2 + 24*u - 2. What is the least common multiple of n and m(11)?
220
Let p = 94 + -50. What is the common denominator of -7/2 and (-1)/2*(-28)/p?
22
Suppose 3*c - k + 3161 = -2*k, 4*k - 4188 = 4*c. Calculate the common denominator of -1/10 and (-2)/6 - c/(-48).
20
What is the common denominator of 81/50 and 2/11 - (-4108)/880?
100
Let n be 1759675/(-120)*(-4)/(-10). Let k = n + 5859. Calculate the common denominator of -85/2 and k.
12
Suppose 0 = i - 3*i + 24. What is the lowest common multiple of -2*1/(2/(-14)) and i?
84
Let f = -227 + 79. What is the least common multiple of 3*f/(-12) - 1 and 14?
252
Let w = -794/9 - -5315/63. Let d = 429 - 205. Let s = 413/2 - d. Find the common denominator of s and w.
14
Let o(t) = -t**