
Let l = -15 - -9. Let k = 15 + l. Suppose 0*t = -3*x - 4*t + 47, -3*x + 2 = -5*t. What is the least common multiple of k and x?
9
Let s(z) = -z - 2. Let g(y) = 2*y + 4. Let b be g(-6). Let u = 9 + -5. Calculate the smallest common multiple of u and s(b).
12
Suppose 0 = -5*q + 4*g + 6804, q - g = -q + 2724. Calculate the smallest common multiple of q/77 - (-4)/14 and 20.
180
Suppose 46 = 3*h + 16. What is the smallest common multiple of 12*(15/12 - (-2)/(-8)) and h?
60
Suppose 7*j - 16 - 61 = 0. Calculate the lowest common multiple of j and 44.
44
Let a = 5 + 18. What is the common denominator of a and 125/6?
6
Suppose b - 3*h = 2*h - 20, 3*b + 10 = 5*h. Suppose b*n - 3*n - 18 = 0. What is the lowest common multiple of 8 and n?
72
Let s = 52/3 + -971/42. Find the common denominator of s and (-1)/2 + 4/(-10).
70
Let g = 17263/6 + -2896. Find the common denominator of -1 + 2/((-84)/(-171)) and g.
42
Let i be (-1)/(-1) - 0 - -2. Suppose 0 = i*k + 14 - 50. What is the lowest common multiple of k and 14?
84
Suppose -6 = -v + 16. Suppose 72 = 5*h + n, 4*n + 46 = 4*h - n. What is the smallest common multiple of h and v?
154
Let c(g) = g**3 + 10*g**2 - 11*g + 4. Calculate the lowest common multiple of 28 and c(-11).
28
Calculate the common denominator of ((-9)/8)/((-40)/(-32)) and -37.
10
Let z = 40 + -18. Let y = 4 - 0. Suppose y*m - 27 = 5. What is the least common multiple of z and m?
88
What is the common denominator of 57/8 - (-6 + 5) and 97/2?
8
Let y(d) = -5*d - 4. Suppose -9 = -7*t + 10*t. Calculate the lowest common multiple of y(t) and 11.
11
Let z = -15029173/7010152 + 427/5881. Let i = 34/13 + -5170/1937. Let l = i + z. Find the common denominator of l and 85/2.
8
Let v(q) = -q**2 - 5*q + 7. Let o be 1/2*36/(-3). What is the least common multiple of v(o) and 3?
3
Suppose -60 = -5*z - h, 3*z - 5*h + 36 = 4*z. Calculate the least common multiple of (6/(-5))/(2/(-5)) and z.
33
Let a(g) = -g**2 - 3*g + 2. Suppose -42 + 12 = 5*y + 3*m, -5*y + 5*m = -10. Calculate the lowest common multiple of a(y) and 2.
2
Suppose -f + 40 = 3*f. Let w(p) = -p**2 + 5*p - 1. Suppose 0*o = 2*o - 8. Calculate the smallest common multiple of f and w(o).
30
Let q = 103061/18 - 5732. Calculate the common denominator of -38 and q.
18
Suppose -7*i - 56 = -3*i. Let u = i + 22. Calculate the smallest common multiple of u and 6.
24
Let h = -44 + 69. Let x = h - 11. Calculate the smallest common multiple of 22 and x.
154
What is the common denominator of ((-89)/3)/((-24)/9) and (-10)/(-44)*(-23)/5?
88
Let g = 6/17 + -64/85. What is the common denominator of -87/4 and g?
20
Suppose -8 - 14 = 2*f. Calculate the common denominator of (-114)/(-15)*5/f and 51/11.
11
Let f(x) = x**3 - 11*x**2 - x + 10. Let v be f(11). Let s(l) = l**2 - l - 1. Calculate the least common multiple of s(v) and (-3)/(8/(-6) + 1).
9
Suppose 0 = t + 1 - 7. Suppose i = 4 + 2. Calculate the least common multiple of i and (-112)/(-6) - t/9.
18
Let u(o) = -8*o - o**2 - o**2 - 8 + o**2. Let x be u(-6). Suppose -19 = -x*r + 17. Calculate the smallest common multiple of 3 and r.
9
Let w = 676 + -2074/3. What is the common denominator of 77/8 and w?
24
What is the common denominator of (-3 + -70)/(-15*(3 + -2)) and 13/48?
240
Let a(s) = -s**2 - 7*s + 1. Suppose w - 17 = 2*q, 4*q + 44 = 3*w + w. What is the lowest common multiple of a(q) and 3?
21
Let v = -83/63 + -46/7. What is the common denominator of v and (1925/(-30))/(-5) - 3?
18
Suppose -y - 30 = -5*h, -3*y + 10 = 3*h - 2*y. Calculate the least common multiple of h and 10.
10
Suppose 4 = 4*k, -255 = 5*v + k - 36. Calculate the common denominator of -27/22 and v/(-10)*200/(-224).
154
What is the common denominator of (-74)/(-24) + (-3)/12 and 101/4?
12
Suppose 0 = -4*j - 2*y + 557 + 195, 4*y = 5*j - 940. Calculate the smallest common multiple of j and 14.
1316
Let y be (1/(-2))/((-1)/2). What is the lowest common multiple of (1 + 1)*4 - y and 1?
7
Let f be 3/(-4) + (-42)/8. Let a be (2/f)/((-3)/18). Suppose 0 = -4*m + a*m + 20. Calculate the least common multiple of m and 2.
10
Calculate the common denominator of (25/(-2))/5 + 1/4 and -83/16.
16
Let q(w) = -w**2 + 4*w - 3. Let c be q(4). Let m = c + 0. What is the lowest common multiple of 4 and ((-14)/(-3))/(m/(-9))?
28
Let f(p) = -p + 5. What is the least common multiple of 8 and f(-2)?
56
Let h = -6 - -7. Let u = -3 + h. Calculate the common denominator of (-19)/(-14)*(u - -1) and -67/10.
70
Find the common denominator of 368/(-12)*(-5)/16 and -31/18.
36
Let j = 5709/4 + -1438. What is the common denominator of j and (-70)/(-18)*20/14?
36
Let z be 1 + -2*(-2)/4. Suppose -4*o + 40 - 2 = s, -z*o + 26 = -3*s. What is the lowest common multiple of o and 4?
20
Find the common denominator of -25/4 and (-130)/16 - 0/(-2).
8
What is the common denominator of 14/56 - (-83)/(-36) and -53/10?
90
Suppose -2*z + 28 = 2*z. Suppose -29 = 5*c + 1. Calculate the lowest common multiple of z and ((-84)/c)/(4/2).
7
Let m = 9910 - 559. Let p = -93429/10 + m. What is the common denominator of p and 53/6?
30
Suppose -2*j = 2*j. Suppose -4*u + 16 + 8 = j. What is the lowest common multiple of u and 10?
30
Let v = 1 - -1. Calculate the smallest common multiple of v and 3 - 24/(4/(-1)).
18
Let m(z) = -z**3 + 6*z**2 + 7*z + 6. Suppose -p + 14 = p. Let j(y) = y**2 - 2*y. What is the lowest common multiple of m(p) and j(-2)?
24
Let v(j) = j**3 - 21*j**2 + 23*j + 22. Let t be v(19). Let q be 5266/20 - 0/(-1). Let h = t + q. Calculate the common denominator of h and -55/9.
90
Let b = -30 + 32. Suppose -q - 103 = -4*k, -k - 3*q + 28 = -q. Calculate the least common multiple of b and k.
26
Let o = 3651 - 182663/50. What is the common denominator of o and -47/18?
450
Let o(l) = 2*l**2 + 4*l - 6. Let j be o(4). Suppose -4*a = 3*x - j, -3*a = -2*x - x + 63. What is the lowest common multiple of x and 18?
18
Let u = 697/28 - 177/14. Find the common denominator of 71/16 and u.
16
Let t(h) = 8*h**2 - h - 6. Let k(l) = 15*l**2 - 2*l - 11. Let d(v) = 6*k(v) - 11*t(v). Calculate the lowest common multiple of d(-1) and 7.
21
Suppose -4*a + 7 = -9. Suppose -152 + 42 = -5*p + 3*m, 0 = 5*p - 4*m - 110. Calculate the lowest common multiple of p and a.
44
Let w(o) = -13*o - 1. Let y be w(-2). Suppose -10 = -5*s + y. What is the least common multiple of s and 1?
7
What is the least common multiple of ((-24)/14)/(26/(-455)) and 6?
30
Calculate the smallest common multiple of 10 and (-20)/10*(-5)/2.
10
Let y = 5 + -2. Suppose 21 = -y*v + 6*v. Suppose 3*g - v - 2 = 0. Calculate the lowest common multiple of 11 and g.
33
Suppose 0 = -2*y + 3*y - 5*n, -9 = 3*n. Let l be (475 - 1)*y/10. Let j = l + 2761/4. Find the common denominator of j and -57/10.
20
Find the common denominator of -25/2 and 727/(-30) + (-4)/(-10).
6
Let y = -46 - -81. Let m = y + -17. Calculate the smallest common multiple of m and 4.
36
What is the common denominator of 37/4 and 516/270*15/12?
36
Suppose 2*v - 4*n + 17 = -v, -5 = -v - 4*n. Let j(p) = p**3 + 3*p**2 - 4*p - 3. Suppose -30 = -0*g - 5*g. What is the least common multiple of g and j(v)?
18
Let a = 4659/460 + 14/115. Let j = -30819/6290 - 1/3145. Calculate the common denominator of a and j.
20
Let r = -2259 - -7101. Let p = r + -106493/22. Find the common denominator of 0 - (39/(-36) + 4) and p.
132
Let x(v) = -10*v**3 + v**2 + 2*v + 1. Calculate the least common multiple of 4 and x(-1).
20
Suppose -3*c - 3*k + 21 = -24, k - 63 = -5*c. What is the least common multiple of c and 8?
24
Find the common denominator of ((-31)/93)/(1/28) and 52/15.
15
Suppose -3 = 4*b - 2*v - 5, -2*b = 4*v + 14. What is the smallest common multiple of (-40)/5*b/1 and (-40)/(-4) + -1 + -1?
8
Suppose -z - 8*z = -18. What is the least common multiple of 2 and z?
2
Let m(h) = 2*h**2 + 2*h - 4. Calculate the lowest common multiple of 1 and m(2).
8
Let a be 5*(-2 + 72/20). Let n(o) = 9*o**2 + o - 1. What is the common denominator of (-2)/a*2222/(-33) and n(2)?
6
Suppose -3*y + 4*y + 5 = 0. Let k = 2 - 1. Let r = k - y. Calculate the least common multiple of 11 and r.
66
Let l = -13489 + 364144/27. What is the common denominator of 64/15 and l?
135
Find the common denominator of 11/98 and (-606)/(-28)*(-35)/(-30).
196
Suppose 3*l + 13 = -14. What is 