.
640
Let i(k) = -3*k**3 + k**2 - 6*k + 4. Find the common denominator of i(2) and 388/288 + (-4)/18.
8
Let b(s) = 16*s**3 - 5*s - 27*s**3 - 15 - s**2 + 10*s**3 - 2*s**2. Calculate the smallest common multiple of 12 and b(-4).
84
Let w(p) = p**2 - 7*p + 10. Suppose 6 = -3*h + 21. Calculate the least common multiple of w(0) and h.
10
Let x be (16807/8)/((-3)/(-4)). Suppose 3*y + 1 = -2, -3*y - 11115 = -4*w. Let c = w - x. Find the common denominator of -30 and c.
6
Let w = -192 - -197. Let a be 1/3 - 2/6. What is the lowest common multiple of (-2 - (6 + a))*-1 and w?
40
Let g(h) = -h + 1. Suppose -22 = -6*v + 2*v + 3*l, v - 8 = 2*l. Let o be g(v). What is the smallest common multiple of 4 and -2 - (9/o - 7)?
8
Suppose -4*u - i = -237, -4*u + 5*u + 5*i - 83 = 0. What is the lowest common multiple of u and 11?
638
Suppose 2*d + 2*f + f - 25 = 0, 5*d = -f + 95. Let j = -6 + 2. Let g(y) = -2*y + 4. Calculate the least common multiple of g(j) and d.
60
Let p = 29059/100 + -9/100. Let n = p + -306. What is the common denominator of 43/10 and n?
10
Let h(p) = -4*p. Suppose -5*k = q - 6 - 6, 0 = 5*q - 3*k + 24. Calculate the lowest common multiple of (-3)/9*1 - 19/q and h(-4).
48
Suppose 4*v - 39 = 5*u, -v + 3*v = -u + 9. Suppose -3*d + 57 = 72. Find the common denominator of 97/14 and 1/d*(-69)/v.
70
Let x be ((9 + -6)/(-9))/((-25)/(-260121)). Let b = x - -3469. Find the common denominator of -43/5 and b.
25
Let z(q) = -23*q - 193. Let l(h) = h**2 - 1. What is the lowest common multiple of z(-9) and l(-5)?
168
Let n = 1940/7 - 281. Suppose 12*y - 2134 = 10*y. Let g = 7456/7 - y. Find the common denominator of g and n.
7
Let h be (2/(-65))/((-72)/41087745). Let r = h - 17558. Find the common denominator of 55/8 and r.
104
Let m(c) be the third derivative of -3/2*c**3 + 4*c**2 - 1/60*c**5 + 0 + 0*c + 1/2*c**4. What is the least common multiple of 16 and m(11)?
16
Suppose 2*u + 3 - 5 = 0. Suppose 7*r - 4*r - 5*k - 90 = 0, -2*r + 4*k = -64. Calculate the smallest common multiple of r and 5*(19/5 - u).
140
Let z be 1/((-2)/4 + (-27)/(-42)). Calculate the common denominator of -7/12 and 90/16 + z/(-7).
24
Let h = 234 - 170. What is the least common multiple of h and 128?
128
Let a(p) = p**2 - 13*p - 274. Calculate the smallest common multiple of a(-12) and 126/10 + (-21)/35.
156
Calculate the common denominator of 7/9*(-96)/(-232) and 109/36.
1044
Calculate the common denominator of (-9)/(-12)*(-124)/66 and 159/18*6/32.
352
Suppose 0 = 37*a - 1610 - 9120. What is the lowest common multiple of 8 and a?
1160
Let z = 5/372 + -12311/2604. Calculate the common denominator of (-246)/(-54)*((-18)/(-4) + (-18)/12) and z.
21
Let d be -1 + ((-6325)/10)/(-5). Let g = -100 + d. What is the common denominator of 13/2 and g?
2
Calculate the common denominator of 4 - ((-1378)/(-1560) - (-6)/1) and -41/120.
120
Let s = -105 - -121. Calculate the common denominator of (2/s)/((-15)/(-357)) and 103/44.
440
Let r(w) = -w**2 + 5*w + 1. Let h be r(5). Suppose p - h = -0*p. Calculate the least common multiple of p and 0 + -3 - (2 - 12).
7
Calculate the smallest common multiple of ((-1680)/(-525))/(1 - 29/30) and 32.
96
Let r = -3381373 - -54134665/16. Suppose 2*l + 4072 = -2*v - 14, -5*l + 10245 = -5*v. Let m = r + v. Calculate the common denominator of 9/22 and m.
176
Suppose -l = -3*o + 11, -4*o = -3*l - 7 - 1. Suppose 0 = -o*z + 5 + 10. What is the least common multiple of z and 6?
6
Suppose 55 + 15 = 5*p. What is the least common multiple of 16 and p?
112
Calculate the common denominator of (-2)/(-30)*-109*30/(-48) and -20/3.
24
Let x = 551/96 + -11/96. Let i = 4629/71296 + 3/557. Calculate the common denominator of i and x.
128
Let i(b) = -b**3 - 8*b**2 + b + 2. Let d be i(-8). Calculate the common denominator of (-17*(-12)/(-8))/3 and 1 - d/20*-37.
10
Find the common denominator of -139/6 and ((-3969)/910 - -4) + 0.
390
Let h = 9386/5 + -1871. Suppose -k - 2*z = k, -12 = -4*z. Find the common denominator of (-31)/10 - k/(-6) and h.
5
What is the least common multiple of 110 and (-32)/16 + (-21)/(-3)?
110
Suppose 0 = 3*d + 3*a - 180, d - 2*a - 3*a - 48 = 0. What is the lowest common multiple of d and 16?
464
Let x(k) = k**2 + 4*k - 24. Calculate the least common multiple of 12 and x(-8).
24
Let x = 264489/16 + -16536. Let p = 234119/30 + -7806. What is the common denominator of x and p?
240
Suppose -3*x + 27 = -3*l, -9*x - 4*l - 3 = -2*x. Let r(d) = -5*d - 1. Calculate the lowest common multiple of r(-5) and x.
24
Suppose 7*y - 4*y = 0. Suppose y = -4*t + 4860 - 760. Let b = t - 20493/20. What is the common denominator of -93/14 and b?
140
Suppose 0*f - 2*f + 3*z = -28, 2*f - 28 = 4*z. What is the least common multiple of 14 and f?
14
Let o = 43477/89640 + 1/5976. What is the common denominator of o and -57/20?
540
Suppose 2*i - 130 = 6*t, 92*i = 91*i - 3*t + 23. Let d(f) = 2*f - 2. What is the lowest common multiple of d(3) and i?
44
Suppose 0 = -5*r + 217 - 52. What is the lowest common multiple of r and 12?
132
Let i(n) = -n**3 - 9*n**2 + 13*n - 6. Let s be i(-10). Let f be (-35)/(-6) + (-6)/s. Let z = f - 5. Calculate the lowest common multiple of 1 and z.
1
Suppose 229 = 13*c - 603. What is the smallest common multiple of 2 and c?
64
Let i(v) = -10*v**2 - 1. Suppose 3*m + 8 - 23 = 0. Calculate the common denominator of m/(-20) - (-1 - 324/(-176)) and i(-1).
11
Let y = 155 - 149. What is the least common multiple of 6 and y?
6
Let n = 90 + -70. Suppose -t + 80 = 2*c, -15*c + n*c + 4*t = 200. Calculate the least common multiple of c and 12.
120
Let o = -11348956 - -272428439/24. Let v = 2233 - o. Find the common denominator of v and 45/8.
24
Let x(r) = r**3 - 13*r**2 + 8*r - 90. What is the least common multiple of x(13) and 105?
210
Let v = 410 + -356. What is the smallest common multiple of 3 and v?
54
Let i = -478 + 758. Calculate the smallest common multiple of i and 308.
3080
Suppose -8*o + o = -21. Suppose -3*g = -3*d + 4*d - 11, -2*d = -2*g - 6. Calculate the lowest common multiple of o/9 + (-44)/(-3) + 1 and g.
16
Suppose -3*y = -t + 4*t + 162, 222 = -4*t - 2*y. Let v = t - -71. What is the smallest common multiple of v and 36?
252
Let o(d) = d**3 - 4*d**2 + 11*d - 6. Let h be o(7). Calculate the common denominator of 2/((-24)/h) + -1 and ((-4)/(-14))/((-11)/(-77)).
6
Suppose -11536 = -66*c + 11036. Calculate the least common multiple of 76 and c.
684
Find the common denominator of (-670)/84 + (-3)/(-21) and 3/2 - 1485/432.
48
Let t = -370 + 374. Calculate the least common multiple of t and 250.
500
Let z(p) = 13*p + 390. Calculate the lowest common multiple of 130 and z(-29).
130
Suppose b - 3*p + 2 = 11, b - 4*p = 13. What is the common denominator of -14/9 and (1/b)/(66/154)?
9
Let i be 2 - (8 - (-2 + 2)). Let o = 45667/8 + -5716. Calculate the common denominator of o and (i/(-28))/((-6)/(-8)).
56
Let a(y) = -49*y + 70. What is the lowest common multiple of a(1) and 114?
798
Let j = -32 + 29. Suppose -5*g + 1186 = -2*i + 5*i, -4*i = -8. Find the common denominator of j - (-1 - g/(-8)) and -89/22.
22
Let u = 29 - -30. Let d = u + -39. Suppose -2*q = -0*q - 28. Calculate the smallest common multiple of d and q.
140
Find the common denominator of (-518)/(-72) - (-26 - -33) and -47/18.
36
Let l = 0 - -16. Let d(a) = -a**2 + 2*a + 4. Let j be d(3). Let p(b) = 31*b - 1. What is the lowest common multiple of l and p(j)?
240
Let u = 74 - 91. Let b(j) = -j**2 - 18*j + 16. Calculate the smallest common multiple of b(u) and 21.
231
Let p(t) = 2*t + 19. Let s be p(-5). What is the common denominator of 38/3*s/(-15) and 7?
5
Let x(j) = -17*j - 56. What is the least common multiple of 2 and x(-6)?
46
Suppose 437 = -3*v - 139. Let f = 779/4 + v. What is the common denominator of f and 47/16?
16
Let u(p) = -p**3 - 7*p**2 + p + 16. Let r be ((4 - 7) + 2)/(2/14). What is the lowest common multiple of u(r) and 12?
36
Let t be 6/27 - 2912582/144. Let m = t + 20232. Calculate the common denominator of m and -40/21.
168
Let t be -22 + 3 + (-7)/(-3)*-3. Let w(r) = r + 35. Suppose -g - 2 + 5 = 0. Calculate the lowest common multiple of g and w(t).
9
Let y(u) = 62*u**2. Let b be y(1). Calculate the common denominator of (b/6 - 2)/(4 - 1) and 19/9.
9
Suppose 5*f - 21 = -3*h, 0*h = 