e of n**3/6 - 4*n**2 + 11*n. Let z be r(7). Find the common denominator of -85/4 and (2 + z)/(66/(-219)).
44
Let q(x) be the first derivative of x**4/4 - 8*x**3/3 + 5*x**2 - 7*x + 1. Let n = 11 - 3. Calculate the lowest common multiple of n and q(7).
56
Let z(n) = -5*n - 2. Let u be z(-1). Let q(s) = -s**3 + 2*s**2 + 4*s - 1. Let f be q(u). What is the common denominator of (-74)/(-36) - (2 - f) and 57/2?
18
Let a = 11 - -78. Let c = a + -87. Calculate the smallest common multiple of c and 6.
6
What is the lowest common multiple of (-1)/((-2)/14)*(-1080)/(-378) and 18?
180
Let i(f) = 18*f - 68. Let n = -9 - -17. What is the lowest common multiple of n and i(5)?
88
Let y = -1747 + 1749. What is the least common multiple of y and 269?
538
Suppose -10*u = -40*u + 5940. What is the least common multiple of 36 and u?
396
Let k be -135*((-20)/3)/5. Let o = k - 1129/6. Let h = -2849/2 + 1394. What is the common denominator of o and h?
6
Let d be 45/5*2/6. Suppose 4*k + 0*k = -4*i + 68, -69 = -d*i + 3*k. What is the smallest common multiple of 195/i + (-1)/(-4) and 10?
10
Let k be -1*(3 + 2/2). Let l be (-1606210)/325892 + k/14. Let w = -1/11639 - l. Calculate the common denominator of w and -123/20.
140
Find the common denominator of (-262)/(-9)*(115/(-20) + 5) and (-7)/(16/7 + -2).
6
Let m(q) = q**3 + 5*q**2 - 5*q + 3. Let c be m(-6). Calculate the common denominator of (50/(-26) + 2)/((-18)/837) and 1/c + 145/(-240).
208
Let h be (-6)/(-33) - 3606/(-11). Let v = h + -228. Calculate the common denominator of (v/(-8))/(2*4) and 83/10.
80
Suppose 2*w = 2*x - 12, -4*x + 3*w = 7*w + 8. Suppose 4*t = 3*r + 49, -t + r - 7 = -x*t. Let v = 28 - t. Calculate the least common multiple of v and 12.
36
Let b = 78/35 + -228/35. Find the common denominator of -13/9 and b.
63
Let v be -1 + (-2 - 108) + 1. Let f = -1469/18 + 244/3. Calculate the common denominator of ((-795)/v)/((-6)/2) and f.
198
Let i = -33/10 + 134/5. Calculate the common denominator of ((868/49)/4)/(2*-1) and i.
14
Let m be (-2*2)/(4/(-128)*-2). Let s = -46 - m. What is the lowest common multiple of s and 2/(-7) + (-312)/(-14)?
198
Suppose 0 = 3*k - 4*d - 340, 225 = 15*k - 13*k - d. Calculate the smallest common multiple of 88 and k.
1232
Calculate the common denominator of 145/24 and 16/104 + 6/(19500/2555).
600
Let f be (-616)/(-10)*225/30. Calculate the common denominator of 137/12 and (-2)/12 - 2170/f.
132
Let t(p) be the first derivative of 2*p**2 - 2*p - 7. What is the least common multiple of 20 and t(7)?
260
Let n(j) = 5*j**2 + j - 9. Let o be n(5). What is the smallest common multiple of 39 and (-598)/(-22) - 22/o?
351
Let z = -79/1178 + -26219/127224. Calculate the common denominator of 41/288 and z.
864
Suppose -6*i + 515 + 127 = 0. Suppose -4*w = -f - 203, 5*w - f - i - 146 = 0. What is the smallest common multiple of 4 and w?
100
Let u = 1380 + -15155/11. Suppose -8 = -4*a + 6*z - 3*z, -4*a + 8 = -z. Find the common denominator of a*4/40 - 309/(-30) and u.
22
Suppose 0 = -4*o - s + 44, -3*o + 25 = 3*s - 17. Let a be (0/2)/(2/(-2)). Let t = 1 - a. Calculate the lowest common multiple of o and t.
10
Suppose -14 = -3*u + 16. Calculate the least common multiple of u and (-2)/(9/((-180)/8)) + -4.
10
Let w(j) = -4*j + 2. Suppose 0 = 5*s + 2*r - r - 69, 5*r = 3*s - 47. What is the smallest common multiple of s and w(-2)?
70
What is the lowest common multiple of 10 and -1*(-480)/(100/10)?
240
Let l be (-289680)/75 - 2*3/(-15). Let d = l - -61753/16. Find the common denominator of (-291)/(-10)*(-1)/3 and d.
80
Suppose -48*i = -40*i - 48. What is the smallest common multiple of i and 10?
30
Suppose 2 = -j + 4. Suppose -s + 3 = j. What is the common denominator of 355/(-50) - s*2 and -9/10?
10
Suppose -4*l = l + 4*h + 77, 4*h - 42 = 2*l. Let z = l + 35. Calculate the least common multiple of z and 6.
18
Let q(c) = -2*c**2 + 66*c - 357. Let b(g) = 2*g**2 - 10*g + 9. What is the least common multiple of b(7) and q(26)?
259
Suppose 3*j = -5*k - 1891 + 656, j - 755 = 3*k. Find the common denominator of 9/36 + k/(-8) and -75/94.
94
Let q = 17 + -15. Suppose 0 = 4*y - q*r - 38, -5*y + 2*y = 5*r - 22. Calculate the smallest common multiple of y and 6.
18
Suppose -2*k + k = h + 274, 823 = -3*k - 2*h. Find the common denominator of (-1)/(-12)*(-3 + k) and -64/3.
6
Let v be 30/12*6/5. What is the common denominator of 2 - v - (171/30 + 0) and 97/4?
20
Suppose 2*r + 11 = -3*u + 40, -5*u = -4*r + 25. Calculate the least common multiple of r and 434.
2170
Suppose 0 = -4*x - 35 + 199. Suppose 4*g - 123 = 5*m - x, 4*g - 68 = -2*m. Let a = -115 - -117. What is the lowest common multiple of a and g?
18
Let p(s) = s + 1. Let u be p(6). Suppose b = -3 + u. What is the lowest common multiple of b and -1 - (0/1 - 2)?
4
Suppose 0*y - y = 7612. Let o = y + 76053/10. Find the common denominator of o and (1 - -4)/(-100) - 4.
20
Let s(l) = l**2 - 9*l - 8. Suppose 11 = 5*r - 34. What is the least common multiple of ((-3)/r)/(1/(-36)) and s(11)?
84
Let w = -757/2 - -10681/28. Let y be 3 + ((-1699)/351 - -2). Let c = y + -18797/5616. Find the common denominator of c and w.
112
Let z be 3*(-6)/9 + 3. Find the common denominator of (z/2)/((-10)/(-410)) and 121/20.
20
Suppose -4*l + 13 = -c, 3*l - 12 = -0*l. Let n be ((-6)/(-2))/(c/5). Calculate the common denominator of 147/2*n/30 and 31/18.
36
Let q be ((-8)/(-6) + 0)*9. Suppose 0*y + q = y. What is the smallest common multiple of y and (-273)/42*(-40)/26?
60
What is the common denominator of ((-31)/4)/(10/60) and 43/21?
42
Let g = 6479/139490 + -24/481. Calculate the common denominator of -91/58 and g.
290
Let j = 11281/2520 - 9/280. Suppose 0 = -3*l - 6, -26 = -3*r - r + 5*l. Calculate the common denominator of j and ((-355)/15)/(r/6).
18
Let x(f) = 4*f - 5. Let h = -9 + 10. What is the least common multiple of x(4) and (-6 - -2) + 6/h?
22
Suppose 4*c + 22 = -5*g + 57, -2*g = 3*c - 21. Suppose -5*h + 2*j + 30 = -25, -3*h + 42 = -g*j. What is the least common multiple of h and 9?
9
Suppose 5*v + 4*j - 81 = 0, -j + 17 = v - 0*j. Let l = v + 25. Let p = 2/3511 + -235249/21066. What is the common denominator of p and l?
6
Suppose -4*w + 1 = -3*w. Let z(q) = q**2 + 9*q - 16. Let s be z(-10). Calculate the least common multiple of 10 and w/3 - 58/s.
10
Let x = 2 - 6. Suppose 17 + 31 = 4*g - 2*v, 5*v = -2*g + 24. Calculate the least common multiple of 18 and (-32)/g*27/x.
18
Let k(v) = v + 3. Let h be k(-7). Let j(o) = o**3 + 3*o**2 - 5*o - 5. Let s be j(h). What is the common denominator of -74/3 and ((-20)/(s + 5))/2?
6
What is the common denominator of -8 - -169*8/112 and -45/112?
112
Suppose -3*i = 9 + 6, 5*r + 35 = 5*i. Calculate the common denominator of 34/(-12) - 9/54 and (-6)/4*9/r.
8
Calculate the lowest common multiple of 77 and 98 + (2/(-8))/(4/(-16)).
693
Let c = -22139/18 + 1227. What is the common denominator of -17/294 and c?
882
Suppose -3*c = -3*p + 3, 3*c - 2*p - 6 = -7. Calculate the least common multiple of 71 and c.
71
Let y = -18 - -21. Suppose 0 = y*n + 3, 3*h - 5*n = 4*h - 3. Suppose 2*s = 5*r + 61, 3*r + 2*r + 25 = 0. Calculate the smallest common multiple of s and h.
72
Let x = -92599/12 + 7728. Calculate the common denominator of x and 55/202.
1212
Let i = 1429664 + -1067958730/747. Let x = -6/83 - i. Suppose 0 = u - 6*u - 135. What is the common denominator of u and x?
9
Let k be (4/(-4))/2*(-6)/1. Suppose k*x - 64 = -5*m, -5*x + 100 = 4*m + m. Calculate the least common multiple of x and 16.
144
Suppose -3*t = -3*u - 27, -43*t + 40*t + 4*u = -28. What is the smallest common multiple of t and 118?
472
Let m = 62 - 44. Suppose -8*f + m = -2*f. What is the least common multiple of f and 11?
33
Let z(w) = -w**3 + 2*w - 1. Let j be z(1). Suppose 2*g = -2*k - 2, j = 3*k - 3*g - 2 + 23. What is the smallest common multiple of k/(-10) + (-342)/(-45) and 1?
8
Let q = 256/15 - 1342/105. Calculate the common denominator of 3 - -1 - (-2535)/(-416) and q.
224
Suppose -16*b = -20*b - 868. Calculate the common denominator of 4/30 + 3*b/245 and -28/3.
21
Calculate the common denominator of -77/100 and (-4)/9*2568/(-640).
300
Let v = -2584 - -2620. Calculate the lowest common multiple of 48 and v.
144
Suppose r = -3*m - 118, 2*m + 3*m - 4*r = -174. Let u = m 