t j(l) = l**3 - 9*l**2 - 3*l - 1. Let q be j(7). Calculate the common denominator of 25/q*11/5 and k.
120
Let q(p) = -97*p**3 - 3*p**2 - 3*p - 1. Let t be q(-2). Let z = t - 12283/16. Let b = -7354 - -88321/12. What is the common denominator of z and b?
48
Let n = 7393/7 + -1058. What is the common denominator of n and 6*((-5)/4 - -1)?
14
Let p = 189 + -109. Suppose 2*i - 16 = i + 4*o, -4*o = 5*i - p. Calculate the least common multiple of i and 14.
112
Let u be (-1 - -6)*2/2. Suppose -3*v - 4*t = 1, -3*v = -u*t + 2 - 10. Calculate the common denominator of 101*v/(-16) + 0 and 79/16.
16
Let u = -162633/28592 - -1/1787. What is the common denominator of (-181)/(-18) - (-12)/(-54) and u?
48
Let k = -2408 - -50528/21. What is the common denominator of k and 55/504?
504
Let h(p) be the third derivative of -p**6/120 - p**5/12 + p**4/8 - p**3/2 - 11*p**2. Calculate the least common multiple of 15 and h(-6).
15
Let w = 1291/18 + -73. What is the common denominator of w and -37/142?
1278
Let s = 20 + -11. Suppose 2*p + p - 12 = 0. Let q(u) = u**3 - 5*u**2 + 5*u. What is the smallest common multiple of s and q(p)?
36
Let f(h) = 33*h + 425. What is the least common multiple of (6 - 6) + (-4)/(-2) and f(-12)?
58
Let c = 92 + -66. Let a be (6/30*0)/2. Suppose 18*o - 205 - 155 = a. Calculate the lowest common multiple of o and c.
260
Let a = -1400 - -11127/8. What is the common denominator of a and -29/36?
72
Calculate the smallest common multiple of 28 and 105 - (-12 + -7 + 12).
112
Suppose 2*z - b + 3*b - 26 = 0, 3*b - 75 = -5*z. What is the smallest common multiple of 27 and z?
54
Let n(k) = -k**3 - 11*k**2 - 10*k + 4. Let d be n(-10). Suppose -o - 2*o + 35 = d*v, 0 = o - v. What is the least common multiple of o and 4/6 - (-31)/3?
55
Let f(n) = -n**3 + 11*n**2 - 7*n - 8. Suppose 3*l - 34 = -4*p + 18, 0 = -5*l + 20. What is the smallest common multiple of f(10) and p?
110
Let p = 2193/2 + -1145. Let t = -761/77 - -66/7. Calculate the common denominator of p and t.
22
Let a = 80 - 74. What is the least common multiple of a and 388?
1164
What is the least common multiple of 160/26 + 92/(-598) and 1?
6
Let k = -43729070265/4573856 + 166/142933. Let t = 9562 + k. Find the common denominator of -35/44 and t.
352
Let c be 1/(-3) - (-6087)/18207. Let m = c + 11847/2023. What is the common denominator of 3/(9/6) - (-87)/33 and m?
77
Let a(i) = 3*i**3 - 4*i**2 + 4*i - 3. Let y(u) = u**2 + u. Let f be y(-2). Let k be a(f). Let m = 19 - k. What is the smallest common multiple of 14 and m?
42
Let i = -1202 + 2298. Calculate the lowest common multiple of 22 and i.
12056
Suppose 0*c = 4*p - c - 52, 20 = 2*p - 2*c. What is the smallest common multiple of p and (-10)/(1 - (0 - -3) - -1)?
70
Let m(q) = q**3 - 10*q**2 + 8*q + 9. Let x be m(9). Let n = 15458/6445 - -2/1289. Calculate the common denominator of (0 - x - -12)*(-110)/(-1408) and n.
80
Suppose 158*z = 135*z + 322. What is the least common multiple of 24 and z?
168
Find the common denominator of ((-81)/18)/((-60)/(-64)) and 13/20*12/(-2).
10
Find the common denominator of -9/2 and 2/(-3) + 1179/1080.
40
Let t be (-1 + 0)*(0 + -356). Find the common denominator of (-2 + 0)/((-272)/t) and 56/(-35) + 2 + (-146)/20.
170
Find the common denominator of 6*(-2547)/(-1296) + -13 and -83/48.
48
Let y(i) = -2*i + 37. What is the least common multiple of 22 - ((-1 - 1) + 3) and y(11)?
105
Let h = -10 - -26. Let t = 15 - 6. Suppose -t*u + 6*u = -54. Calculate the lowest common multiple of u and h.
144
Let h = -93 - 581. Let d = h + 9449/14. Find the common denominator of d and -65/18.
126
Let g(r) = -3*r - 10. Suppose -a - 5*a + 60 = 0. What is the lowest common multiple of g(-6) and a?
40
Let g = 66 - 5. Suppose -3*x - d - 4*d = -g, -65 = -5*x - d. Suppose t = 5*n - 29, x = n - t + 3. What is the lowest common multiple of n and 10?
10
Find the common denominator of 91/10 and (-18)/(-12) - (-127)/(-10).
10
Let q = 1 - -36. Suppose 3*l - 217 = 6*r - r, q = -r - l. What is the common denominator of r and 77/6?
6
Let j(u) = -u**3 + u**2 - u - 4. Let o = 16 + -18. Calculate the smallest common multiple of j(o) and 2.
10
Let g = -4635/22 - -234436/1111. Calculate the common denominator of g and -30/11.
2222
Let j(u) = -5*u**3 + u**2 + 1. Let l be j(2). Let c = 53 + l. Calculate the smallest common multiple of c and 18.
18
What is the common denominator of 97/6 and (69/(-10))/((24/5)/3)?
48
Suppose 0 = 16*b - 1222 - 794. Calculate the lowest common multiple of b and 14.
126
Let o(i) = 8*i - 2. Let t = 19 - 17. Calculate the lowest common multiple of o(t) and 8.
56
Let a be 38436/22*(-1 - 39/4). Let g = a + 18786. Calculate the common denominator of g and -75/22.
22
Let l(n) = n**3 - 3*n**2 - 6*n. What is the least common multiple of 65 and l(5)?
260
Suppose 3*w - 5 - 1 = -3*u, 0 = 2*w + 4*u. What is the smallest common multiple of 4*(-1)/1*-4 and w?
16
Let p = -311 + 381. Calculate the smallest common multiple of p and 49.
490
Let d = 76/13 + -6271/1066. Calculate the common denominator of 53/2 and d.
82
Let v = -51 - -76. Let i be 15/v - (-2)/5. Find the common denominator of 93/4 and (i - -2) + 255/(-24).
8
Find the common denominator of 1/6*(-92)/(-8)*10/(-15) and 6*-2*10/272.
306
Suppose w - 3*w = 5*i + 61, w + 33 = -3*i. What is the smallest common multiple of (-1568)/(-72) + (-4)/w and 1?
22
Suppose -3*r - 5*l - 28 = -0*r, -4*r + 5*l + 21 = 0. Calculate the common denominator of ((-14)/11 - 1)*r/(-2) and -97/4.
44
Suppose 2*p + 985 + 5265 = 0. Let l = 46822/15 + p. What is the common denominator of -34/33 and l?
165
Let w = -1715/93 + -69/31. Find the common denominator of 13/50 and w.
150
Suppose 3*u - 6*u = -12. Suppose 72 = -u*t + a, -6*t + 2*a = -2*t + 72. Let w = 26 + t. What is the least common multiple of 8 and w?
8
Let b = 119/5 + -661/20. Suppose 2*h = 19 + 101. Find the common denominator of b and (-2)/3*(-81)/h.
20
Calculate the common denominator of 1/90 and 196/(-264) - (-25)/10.
990
Let z = -1311/70 - -663/28. Let l = -9 - -11. Calculate the common denominator of 0 - ((-15)/54 + l) and z.
180
Let s = -375 + 4607/12. Let f = 3012 + -11969/4. Find the common denominator of f and s.
12
Suppose -2*a - 4 + 18 = q, 5*a = -q + 29. Suppose 2*l - 10 = -3*k + 11, -5*l + 3*k + 63 = 0. What is the lowest common multiple of q and l?
12
Let g = -7 - -9. Suppose -5*m + 85 = -7*c + 2*c, -g*c = m - 32. What is the smallest common multiple of 16 and m?
176
Let o = 2187/4 + -155341/284. Let v = o - -6419/1704. Find the common denominator of -37/2 and v.
24
Let l(b) = -b**2 + 14*b + 34. Let p be l(16). Suppose 0 + 10 = p*o. Calculate the lowest common multiple of o and 91.
455
What is the common denominator of -4 + 244/(-40) + -1 - -6 and -11/107?
1070
Let z = 1005 - 10041/10. What is the common denominator of z and -85/12?
60
Suppose 13*r - 1041 = -989. What is the lowest common multiple of ((-28)/(-35))/((-1)/(-5)) and r?
4
Suppose 2*a - g + 20 = 2*g, 2*g + 12 = -5*a. Calculate the common denominator of 77/12 and -25*a/(-36) + -5.
36
Let z be (56/16)/((-21)/(-12)). Calculate the lowest common multiple of 8 and 1/(z/(-8)) - -13.
72
Let q(f) = -f**3 + 5*f**2 + 3*f + 7. Suppose 4*a - 100 = -0*a. Suppose -4*w = w - a. Calculate the lowest common multiple of q(w) and 4.
44
Let y = 102 + -93. Calculate the smallest common multiple of 12 and y.
36
What is the lowest common multiple of (8/(-2))/4*-40 and 40?
40
Let s be -2 + 31*-2 + 3. Let z = -46 - s. Calculate the smallest common multiple of 21 and z.
105
Suppose -23*o = -50*o + 1134. What is the smallest common multiple of o and 48?
336
Let w = -368 - -627. Suppose -8*i = -117 - w. Calculate the common denominator of -1 - (42/8 - -1) and i.
4
Let n(g) = -13*g + 7. Let u(z) = 6*z - 4. Let a(m) = 3*n(m) + 7*u(m). Let o be a(5). Find the common denominator of 74/3 and 25/o - -2 - -2.
24
Let x = -69 - -63. Calculate the smallest common multiple of 20 and (x/(-4))/(3/44).
220
Let q(x) = -x**2 - 12*x. What is the lowest common multiple of 10 and q(-11)?
110
Suppose -4*z + 42 = -z. Let s = -98 - -106. What is the lowest common multiple of z and s?
56
Let a be (95/(-6))/((-3)/(-282)). Let n = -1476 - a. What is the common denominator of 25/6 and n?
6
Suppose -9*m + 10*m - 98 = 0. Let n