 -45*(-30)/336.
40
Suppose -4*i - 3 + 7 = 0. Let g = -1 - i. Find the common denominator of ((-201)/5)/(-3) + g and -13/2.
10
Let q = -11 + 16. Suppose -30 = -5*y - 4*g, 4*y - q*g + 7 = -10. Calculate the least common multiple of y and 8.
8
Calculate the common denominator of 10/(-25) - (-571)/90 and (-2)/(-6) - (-250)/12.
18
Suppose 5 = d - 2. Suppose 0 = 2*i - d*i + 25. Calculate the lowest common multiple of ((-3)/3)/(2/(-10)) and i.
5
Suppose 3*r + 845 = q, 2*r = q - 4*q - 578. Let m = r - -539/2. Find the common denominator of 17/11 and m.
22
Suppose 0*w = 3*w - 381. Let d = w - 263/2. Calculate the common denominator of -67/20 and d.
20
Let x = -68 + 355. Let j = x + -525/2. What is the common denominator of j and -75/26?
26
Let g be 7/21 + 3482/(-10482). Let t = 4199914345 + -29349001332807/6988. Let r = t + g. Calculate the common denominator of -53/12 and r.
12
Suppose -f + 6*f = -2*r + 8, -5*r + f + 47 = 0. Calculate the common denominator of r and 123/10.
10
Let n(b) = b**2 + 8*b - 10. Let r be n(-9). Calculate the lowest common multiple of 21 + (-4 - r)/3 and 16.
80
What is the common denominator of 1212/(-24)*2/22 and 71/18?
198
Suppose 0 = -3*l - 2*u + 4*u, -4*u = -12. Suppose 2*v = -4*h + 26, -3*h - v + 9 = -2*h. What is the least common multiple of 8 and (l/3)/(h/6)?
8
Let n = 26 + -16. Suppose 43 = 5*g + y, 2*g + 2*y - 31 = -3*y. Calculate the lowest common multiple of n and g.
40
Let h be (-2)/((-1)/(12/8)). Calculate the smallest common multiple of 0 - -20 - h - 1 and 6.
48
Let n(d) = d + d - d**3 + 1 + 2*d**3 - 5*d**2. Let f = -1 - -10. Calculate the smallest common multiple of n(5) and f.
99
Let x = 172 + -1357/8. Let k = -11609/327 - -1/654. Calculate the common denominator of k and x.
8
Suppose -11 = 5*r - 36. Suppose r + 3 = u. Find the common denominator of 13 and 0 + 0 - 6/u.
4
Let s be 3860/(-128)*404/(-10). Let y = s - 1213. What is the common denominator of 115/14 and y?
112
Suppose 218 = -2*u + j + 4*j, -u + j - 112 = 0. Calculate the common denominator of -12 and (-4)/8 - u/8.
4
Let s = 3001/10 - 36707/120. Find the common denominator of 125/18 and s.
72
Let q(b) = b**3 - 3*b**2 - 7*b - 1. Calculate the least common multiple of 42 and q(5).
42
Suppose -12*i + 140 = -2*i. Calculate the smallest common multiple of i and 10.
70
Suppose 5*j - 3*j = 6. Let q(d) = d**3 - 8*d**2 + 7*d + 4. What is the least common multiple of j and q(7)?
12
Let g = -233261/9 - -25881. Let k = g - -1213/18. Find the common denominator of k and -13/4.
4
Find the common denominator of (-4 - (-1735)/310) + 0 and -59/14.
434
Suppose -4*f = -5*t - 103, -5*t - 1 = -6. Calculate the least common multiple of 57 and f.
513
Let c = 20 - 17. Suppose x - 72 = -c*x. What is the least common multiple of x and 16?
144
Suppose d = -2*d + 21. Suppose -12 = 3*y - d*y. Let x(h) = 4*h**2 - 17*h + 27. What is the smallest common multiple of x(2) and y?
9
Suppose -7 = 2*w - 11. Suppose 5*u - 46 = w*l + 36, -u + 22 = l. What is the lowest common multiple of 2 and u?
18
Suppose 3 + 6 = 3*j. Suppose 13 + 17 = j*y. What is the least common multiple of 2 + (-1)/1 - -3 and y?
20
Let d = 13350 + -9271. Let c = -81597/20 + d. Calculate the common denominator of c and (-2462)/(-132) + 6/33.
60
Let u(k) be the second derivative of k**3/3 - 3*k**2 - 2*k. What is the least common multiple of u(7) and -2 - (0 + -4 - 0)?
8
Suppose -f + 70 = 5*u, -u + 28 = u + 2*f. What is the smallest common multiple of u and 4?
28
Suppose 5*a + 95 = -4*d, 76 = 2*a - 6*a + d. Let m = a - 29. What is the common denominator of (6/40)/(2/(-115)) and m?
8
Let a be 8/12 - 4/(-3). Suppose -5*m + 9135 = -a*r, 3*r + 4*m - 963 + 14631 = 0. Let x = 27265/6 + r. What is the common denominator of 91/10 and x?
30
Let r = 708285/1567 - 452. Let p = -101867/18804 + r. Let x = p - 289/12. Calculate the common denominator of x and 111/10.
10
Suppose -3*p + 3*r - 75 = -0*p, -15 = 5*r. Calculate the common denominator of 25/14 and ((-2)/(-35))/(p/(-2975)).
14
Suppose -15 = -n + 18. Calculate the smallest common multiple of 15 and n.
165
Let b(i) be the second derivative of -i**4/12 - 5*i**3/3 - 2*i**2 + 4*i. What is the smallest common multiple of b(-4) and 6?
60
Let t(k) = -k**2 - 7*k - 8. What is the smallest common multiple of 4 and t(-5)?
4
Suppose 2*o - 3 - 3 = 0. What is the least common multiple of (-8)/(o - -1) - -18 and (-2)/(-8) + 141/12?
48
Let z = -37 + 55. What is the least common multiple of z and 12?
36
Let p = -6238728967/2252330 + 10/225233. Let k = p + 2776. What is the common denominator of k and 1/(-4) - (-812)/144?
90
Let d = -132 + -417. Let i = 233 - d. Let n = -8595/11 + i. Calculate the common denominator of n and 37/5.
55
Let o(w) = 10*w**2 + 2*w. Let s be o(-2). Suppose -q = -3*a - 0*q + 28, -s = -a - 5*q. Calculate the smallest common multiple of a and 4.
44
Let m = -1892 - -6175/2. Let j = m + -1174. Find the common denominator of j and 61/10.
10
Find the common denominator of 71/22 and 13*(2 - (-63)/(-30)).
110
Suppose 5*r + b - 228 = -2*b, -138 = -3*r - 3*b. Let f be ((-8)/10)/(2/r). Let j = f - -34. Calculate the lowest common multiple of j and 18.
144
Let d = 3509 + -56125/16. Find the common denominator of (-2)/10*(2124/(-56) - 1) and d.
112
Let x(z) = -3*z. Let w be x(-4). Let r = w - 8. Calculate the lowest common multiple of 10 and r.
20
What is the common denominator of (-30)/27 - (0 + -2) and -47/13?
117
Let n = 181 + -169. Calculate the lowest common multiple of 42 and n.
84
Let d = 22 + -15. Calculate the lowest common multiple of ((-3)/(-1) - (10 + -5))/(-1) and d.
14
Suppose -2*p + 118 = -82. What is the lowest common multiple of 4 and p?
100
Let v = 46895/6 + -7792. What is the common denominator of 343/(-28)*6/(-7) and v?
6
Let i = -1 - -2. Suppose g + 8 = 3*g. What is the lowest common multiple of i and g?
4
Let a be 2/(-5) - (-15324)/660. Let g = a + -3213/176. Calculate the common denominator of g and -81/4.
16
Let g = 1 + 3. Suppose 5*t - 28 = y, 2*y + 3*y + 14 = g*t. What is the common denominator of -41/7 and t?
7
Suppose k + v = 2*k - 145, -140 = -k - 4*v. Calculate the common denominator of 194*(-2)/k*-2 and 113/12.
36
Suppose 3*z + 10 = -2*k, 5 = 3*k - 7. Let s(o) = o**3 - 6*o**2 - 10*o + 1. Let d be s(7). Find the common denominator of -71/8 and 3 - (z/d)/3.
40
Let i(j) = j**2 - 6*j + 3. Let q be i(6). Suppose q*k + 4 = 16. What is the common denominator of 6 + -5 + (-69)/k and 25/8?
8
Let k(s) = 5*s + 74. Let m(f) = f + 2. What is the least common multiple of m(6) and k(-12)?
56
Let x = -4510320/31031 - -4506/31. Let r = x - -12715/2002. What is the common denominator of 55/18 and r?
126
Let r(l) = 32*l. Let i be r(1). Suppose 4*y = 6*y + i. Find the common denominator of 27/4 and y/24 - 25/9.
36
Suppose -2*v - 4*u = 0, 0 = -3*v - 2*u + 7*u + 33. Suppose 3*k - v - 48 = 0. Calculate the lowest common multiple of 18 and k.
18
Let g = -1088 + 4395/4. Suppose 4 = 2*p - 16. Calculate the common denominator of 86/p - (0 + -2) and g.
20
Let x(t) = t**3 + 9*t**2 + 6*t - 15. Suppose -3 - 5 = -2*y. What is the smallest common multiple of x(-8) and y?
4
Calculate the least common multiple of 4 and 0 + (-1 - -15) - -2.
16
Let z(u) = u**2 - u. Suppose -4*i + 6 = -2*i. What is the smallest common multiple of 14 and z(i)?
42
What is the common denominator of 54/4 + (-6 - -8) and -3/11?
22
Let t be ((-1)/1)/(4/(-72)). Let k be 2/6 - (-18120)/t. Let n = 3094/3 - k. What is the common denominator of n and 91/10?
30
Suppose 0 = m - 3*m + 2910. What is the common denominator of (-1 + 0)*54/32 and (2/(-45))/((-12)/m)?
144
What is the common denominator of (185/(-10))/(-1*3) and 97/10?
30
Suppose -6*r + 4*r + 7463 = q, 0 = -2*r - 3*q + 7469. Let j be ((-12)/r)/((-1)/5). Let h = j - -3237/7460. Find the common denominator of -59/18 and h.
180
Suppose -177 = -3*x - 27. Calculate the common denominator of x and -46/15.
15
What is the least common multiple of 22 and 15/5*(-2 + 44/6)?
176
Suppose f + 35754 = 3*f. Let w = -43244466/2419 + f. Let s = w + 116127/12095. Calculate the common denominator of s and -65/9.
45
Calculate the common denominator of -16 and -1 + (12/(-14) - 3).
7
Let u be 1*1/((-4)/(-7667)). Let r = -1928 + u. What is the common denominator of r and -33/8