+ t. Let x = -4089/3938 - -15/179. Calculate the common denominator of g and x.
220
Let x(a) = -a**3 + 10*a**2 + 2*a - 6. What is the lowest common multiple of x(10) and 18?
126
Suppose 4*h + f - 19 = 0, 3*h - 2*f - 35 = -7. Let q(x) = 6*x**3 + 4*x**2 - x**3 - 4*x**3 + 2. Calculate the lowest common multiple of h and q(-3).
66
Suppose -5*q - 2*b = -74, -q + 0*b + 18 = 2*b. What is the smallest common multiple of q and 50?
350
Suppose 0 = -4*k + 4*o - 13 - 19, 0 = k + 4*o + 28. Let b be ((-12)/(-10))/(9/870). Find the common denominator of 26 and (b/10)/(k/(-10)).
3
What is the common denominator of 7 + -2 + -2 + (-37)/18 and 91/10?
90
Suppose 675 = 2*k + 3*k. Let u be (-1)/((-138)/k + 1). Let m = u + -26. Find the common denominator of m and 11/2.
2
Let r(s) = -s**2 + 5*s - 4. Let q(k) = -k**2 - 7*k. Let m be q(-6). Let n be r(m). Find the common denominator of (-3)/n*(-2)/6 and 113/6.
30
Let y = -15190100 - -7321633103/482. Let f = -4/723 + y. Let p = f + -257/12. Find the common denominator of p and 63/20.
20
Suppose -5*x = -3 - 2. Let u be 4/6 + 7/3. Suppose 5*n - 3*w - u = 4*n, 5*w - 11 = -n. Calculate the least common multiple of x and n.
6
Let k = 16 + -6. Calculate the lowest common multiple of k and 3.
30
Suppose 4*b - 1 + 5 = p, -3*p + 5*b + 19 = 0. What is the lowest common multiple of p and (40/(-4))/(-4*(-1)/(-4))?
40
Suppose 0 = 5*i + 3*b + 135 - 969, 5*i - 842 = b. Let t = -372 + 1842/5. Find the common denominator of i/(-30) - (-6)/(-10) and t.
5
Suppose 0 = -k + 156 + 126. Let m = 12373/11 - 1126. What is the common denominator of k/55 + (-26)/65 and m?
11
What is the common denominator of (-20)/10 - 14/44 and 65/16?
176
Let g be 1835/6*(-8)/(-50). Let c = 251/6 - g. Find the common denominator of c and -23/12.
60
Let k be 63/48*7978/6. Let h = 1740 - k. What is the common denominator of h and 31/14?
112
Suppose 0 = 5*c - c. Suppose c = -4*u + 3 + 17. Suppose 4*a - 2*d = 2, 3*d = 4*a - 0*a + 3. What is the lowest common multiple of u and a?
15
Suppose -3*n - 2*l + 85 = 0, 3*n + 7*l - 100 = 2*l. Suppose -2*z + 7*z = n. Calculate the smallest common multiple of z and -1 - (-5 + (-2)/(-1)).
10
Let q = 27 - 18. Suppose -51 = 5*t + q. Find the common denominator of 15/t*(-81)/10 and -10/9.
72
Suppose 18*t = 15*t + 30. What is the lowest common multiple of 13 and t?
130
Let v = -52/127 - -11615/762. Suppose 3*i = 2*i - 1515. Calculate the common denominator of 2/7 - i/(-84) and v.
12
Calculate the common denominator of 62/(-32) + (-10 - -11) and 137/18.
144
Let u be 2 + 1 + -5 + 4. Suppose -u*d + 12 = -2*c, 19 = 3*d + 2*c - 24. What is the lowest common multiple of d and 1?
11
Let o be (-52284)/(-128)*2/93. Let z = o - 220/31. What is the common denominator of z and -53/18?
144
Let t be 9428/8*(-1)/22. Let o = 223/4 + t. What is the common denominator of -43/20 and o?
220
Let q be (-138)/(-8) - 6/(-8). Let r = 1930 + -17399/9. What is the common denominator of 2/3 - 570/q and r?
9
Let l = -2433298 + 48702197/20. Let c = -1813 + l. Calculate the common denominator of 79/8 and c.
40
Suppose 3*l - 115 = -43. Suppose l = 2*s + s. Calculate the lowest common multiple of s and (-1 - 2)/((-6)/20).
40
Suppose -3*k + 2*n + 96 = 0, n - 51 = -2*k - 2*n. Calculate the lowest common multiple of 33 and k.
330
Let x = 0 - -7. Calculate the least common multiple of x and 5.
35
Let l = -3/359 - 32645/2872. Find the common denominator of 28/3 and l.
24
Let d = 1 + 1. Suppose -d*p + 4 = -0*p. Suppose 2*c - 26 = i, p*c = -c + 3*i + 42. Calculate the least common multiple of 14 and c.
84
Suppose -2*b = -4*q - 6 + 2, 0 = 4*b + 2*q + 12. Find the common denominator of (6/(-10))/((-2)/(-39)) and b + (153/24 - 1).
40
Suppose 3*r = 17 - 2. Let d = -8 - -19. What is the least common multiple of d and r?
55
Let s = 4261/3270 - 1/327. What is the common denominator of (-32)/30*(-40)/(-6) and s?
90
Suppose 15*r + 29 - 44 = 0. Let p(c) = 3*c - 9. What is the smallest common multiple of r and p(6)?
9
Let h be 2/5 - (-2)/(-5). Calculate the lowest common multiple of (h - -2)*1 - -20 and 10.
110
Let c = 51 - 29. Calculate the smallest common multiple of c and 20.
220
Suppose -3*x + 124 = x. Suppose -x + 7 = -4*z. What is the least common multiple of z and 5?
30
Suppose -5*p = 2*o - 57, 8*p + 23 = 3*o + 3*p. Calculate the smallest common multiple of 7*(-3 - -1)*-1 and o.
112
Let r be 6/4*4/3. Suppose -2*j - r*v + 32 = 12, -j = 2*v - 14. Calculate the smallest common multiple of 4 and j.
12
What is the common denominator of 93/16 and 0/(-1) + ((-118)/40 - 2)?
80
Suppose -4*o + 4 + 8 = 0. Let v = -7 + 9. What is the smallest common multiple of v and o?
6
Suppose 60*q - 120 = 57*q. What is the common denominator of ((-37)/(-33))/((-2)/(-6)) and q?
11
Let o = 7 + -6. Calculate the common denominator of o - (198/20 + 1) and 2/1 - 39/15.
10
Let y = 9 + -3. Calculate the least common multiple of -12*(-4)/y + 0 and 2.
8
Suppose -x = 1 + 6. Let a = x - -11. Calculate the lowest common multiple of a and 8.
8
Let x(f) = 15*f - 2. Let l be x(2). Suppose 2*k + 2*k - l = 0. Calculate the least common multiple of k and 1.
7
Let p = -6 + 6. Suppose p*l + 27 = 3*l. Calculate the common denominator of 49/4 and 166/8*l/18.
8
Suppose -356 = -2*i - 2*l, i - 5*l - 106 = 72. What is the common denominator of -44 and i/25*55/(-44)?
10
Let s(d) = -d**3 - 14*d**2 - d - 3. What is the lowest common multiple of 7 and s(-14)?
77
Let x = -29 - -47. Suppose 5*f + 5*v = 235, 0*f + 42 = f - 4*v. Let l = f + -28. Calculate the lowest common multiple of x and l.
18
Let m = -4597 - -202349/44. What is the common denominator of m and 75/2?
44
Let v(p) = p**3 - 7*p**2 + 9*p - 14. Calculate the least common multiple of 18 and v(6).
36
Let q(l) = l**2 - 13. Calculate the lowest common multiple of q(-10) and 4.
348
Suppose -3*l - 28 = -118. What is the least common multiple of 24*(4 + 21/(-6)) and l?
60
Let x = 11407/5 + -2289. What is the common denominator of 35/2 and x?
10
Suppose 1 = -2*q + 3. Calculate the least common multiple of q and 10.
10
Suppose 0 = 8*x + 4 - 20. Let u(f) = 7*f**2 - 4. Let p(y) = 209*y**2 - 121. Let s(q) = -4*p(q) + 121*u(q). Calculate the lowest common multiple of s(1) and x.
22
Calculate the least common multiple of (-4)/(4/(-21)) + -1 and 8/5*40/16.
20
Let s = -251/9516 - -2/61. Let r be ((-193)/20)/(234/15). Let i = r - s. Calculate the common denominator of 125/18 and i.
72
Let v be 654/(-954) - 2/(-3). Let z = v + -3227/318. Calculate the common denominator of 42/13 and z.
78
Suppose 2*r - 30800 = -2*r + 5*h, 23077 = 3*r + 2*h. Let k = -76841/10 + r. Calculate the common denominator of 89/2 and k.
10
Let x = -20978/10263 + -24/311. What is the common denominator of 39/4 and x?
132
What is the common denominator of (-2)/11 - 3263/(-4576) and 37/12?
96
Find the common denominator of -53/3 and ((-459)/12)/(9/6).
6
Let u = 6173/5 - 37967/20. Let k = u + 652. What is the common denominator of -4 - (2 + (-925)/110) and k?
44
Let p = -30071/14 - -2145. Let x = -1/854 + 25835/1281. Calculate the common denominator of p and x.
42
Let w(m) = -m**2 + 9*m. Let c(u) = -u + 4. Calculate the smallest common multiple of w(7) and c(-4).
56
Suppose 3*s = 2*s - 28. Suppose 28 = 4*f - 6*f. Calculate the lowest common multiple of (-8)/s + (-66)/f and 4.
20
Let y = 15 - 6. Let m(r) = -r**2 - 6*r - 3. Suppose 2*x = b + 6, b + b - 5*x = -13. What is the least common multiple of m(b) and y?
45
Suppose 0 = -2*k - 4*m + 9 + 7, 5*k - 10 = 5*m. What is the least common multiple of 1 and k?
4
Let z = -408 - -4127/10. Calculate the common denominator of 23/11 and z.
110
Let y(a) be the first derivative of 1/4*a**4 + 1 - 5*a - 10/3*a**3 + 3*a**2. Calculate the common denominator of 31 and y(9).
1
Suppose 3*t + 8 = 56. Suppose -2*u - 7 = -3*y, -3*u - 8 = -2*y - u. Calculate the least common multiple of (t/(-10))/(y/5) and 4.
8
Suppose -3*j = -32 + 2. What is the common denominator of ((-24)/(-140))/((-1)/(-21)) and ((-22)/(-8))/(j/32)?
5
Suppose 165 = 4*j + j. Suppose 21 = 2*g - j. Calculate the lowest common multiple of 7 and g.
189
Suppose 11*l - 7*l = 36. Let k = 17 - l. Calculate the smallest common multiple of 4 and k.
8
Let m(h) = 2*h**2 - 5*h - 5. Let r be m(6). Let d = 57 - r. What is the lowes