) and 2?
6
Let w(a) = -a**3 + a**2 + 4*a + 4. Let l be w(-2). What is the lowest common multiple of 21 and 4/8*-16*(-12)/l?
84
Find the common denominator of -47/156 and 36/(-14)*((-8)/36 + (-5792)/1152).
156
Let q = 3072 + -2898. What is the least common multiple of q and 319?
1914
Let d(o) = o**2 + 18*o + 47. What is the lowest common multiple of 138 and d(-17)?
690
Find the common denominator of -113/1458 and (-10 - 1884/(-192))*(-536)/18.
2916
Suppose 8*z - z = 0. What is the lowest common multiple of 10 and 51 + (z - (3 + -7))?
110
Let c(f) = 242*f**2 + 18*f + 18. Let i be c(-1). Find the common denominator of (-4 - i/33)/(-47 + -1) and -67/16.
144
Suppose 12 = 3*f, 4*y + 2*f - 1340 = -408. Calculate the least common multiple of 198 and y.
1386
Let u be -4 + -57847 - 0/3. Let n = u - -635931/11. Let f = 7863/220 + n. Calculate the common denominator of -23/12 and f.
60
Let a = -2/248231 + -20106455/31773568. Calculate the common denominator of a and 103/560.
4480
Let b = -213563/2040 + 1777/17. What is the common denominator of b and -109/510?
2040
Suppose -11207 = 16*f - 11783. Calculate the least common multiple of (-21)/(-6) - 2/4 and f.
36
Let s = 157 - 56. Let b = -98 + s. Suppose r - 10 = -1. What is the lowest common multiple of b and r?
9
Let h(j) = 4*j**2 - 85*j + 318. Calculate the lowest common multiple of h(4) and 70.
210
Suppose p + 40 = -3*g, -3*p = 3*g - 2*g + 16. Let y = g + 61. What is the least common multiple of 12 and y?
48
Let a = 2366 - 1380. What is the smallest common multiple of a and 5?
4930
Let k = -1/131050 + -3995711/172199700. What is the common denominator of -43/84 and k?
18396
What is the common denominator of (-103*7/336)/((-6)/8) and 5/(-40*4)*(-154)/(-3)?
144
Suppose 0*u = -42*u + 2622 - 102. What is the least common multiple of 935 and u?
11220
Let c = 1121847/8 - 140232. What is the common denominator of c and (-14)/(-6)*6/20?
40
What is the common denominator of (13495/4500 - 3)*((-7)/1 + 233) and 31/1800?
1800
Let m(l) = l**3 + 35*l**2 - 6*l - 190. Let t(v) = -v**3 - 8*v**2 - 12*v - 17. What is the least common multiple of m(-35) and t(-7)?
180
Suppose -209*c + 349 + 947 = -200*c. Calculate the lowest common multiple of 272 and c.
2448
Calculate the common denominator of (-3298)/(-34580) + (-354)/3363 and -41/210.
2730
What is the common denominator of (-14894)/1632 - ((-29)/(-58))/((-6)/108) and 5/16?
816
Let u be 10/(-175)*5 + 1502/14. Suppose -u = -18*n + 109. What is the smallest common multiple of n and 15?
60
Let v = -96179/755760 - 6/3149. Calculate the common denominator of v and -29/624.
3120
Let x(l) = -42*l + 306. What is the lowest common multiple of 12 and x(7)?
12
Let a = -2931 + 3691. Calculate the lowest common multiple of 608 and a.
3040
Let a be -6 - (-16 + 7 + -1). Suppose a*s = v - 72, -6*v + v + 330 = -5*s. Calculate the lowest common multiple of 20 and v.
320
Let n(u) = 5*u - 6. Let a be n(18). Suppose 0 = 3*k + t + 278, -3*k = -2*k - 4*t + a. Let g = k + 108. What is the smallest common multiple of 10 and g?
80
Suppose -25795 + 40251 = 13*m. Calculate the smallest common multiple of 20 and m.
5560
Let t = 1016/5 - 1757/10. Suppose 142*n - 9300 = 146*n. Calculate the common denominator of 0/2 + 2 - n/(-350) and t.
14
What is the common denominator of 37/5 and (-2)/(-10) - ((-1342)/(-4200) + (-334)/(-5845))?
300
Let a be (2109/(-185))/(74/(-111335)). Let o = a + -17152. Calculate the common denominator of o and 826/(-60) + 4/(-10).
222
Let w be 8/((-32)/60)*1. Let k = 22801/24066 + -4/1337. Find the common denominator of k and (-436)/192 - ((-80)/w)/(-4).
144
Suppose 3*u - 7 = 11. Let w = -20 + u. What is the common denominator of 64/9 and (-1)/(w/(-6)) - (-51)/42?
126
Let n = 1546 - 926. What is the common denominator of 22/9 and 27/(-36) - n/16?
18
Let b be 6*1/2 - (-285)/5. Suppose 5*s + s - b = 0. Suppose -2*v = -3*v + 4. What is the least common multiple of v and s?
20
Let g(p) = 2*p**3 - 9*p**2 - 2*p + 10. Let l = 46370 + -46354. What is the least common multiple of l and g(8)?
3536
Let m = 25003 + -14876. What is the lowest common multiple of 3 and m?
30381
Let f be 34/(-85) - (-290079)/(-40). Let a = f + 7262. What is the common denominator of a and 41/148?
296
Find the common denominator of 3/298 and 11 + 1*2086/(-224).
2384
Suppose 4*c = 5*h - 89, -2*h + h = 2*c - 29. Let x = -58978 - -58983. Calculate the smallest common multiple of x and h.
105
Suppose -5*u + 770 + 700 = 0. Calculate the lowest common multiple of 294 and u.
294
Suppose -5*y - 4*l = -545, 7*l = 5*y + 12*l - 550. Suppose -y + 21 = -6*t. Calculate the least common multiple of t and 154.
154
Let d be -1 - 10*4/(-8). Suppose d = -5*y + 19. Suppose -5*z = 13*z - 126. What is the smallest common multiple of z and y?
21
Let p = -546 - -1613/3. Calculate the common denominator of p and (-14)/518 - 60312/2664.
3
Let b be 3*(225 - 2) + 30/5. Let l = b + -603. What is the smallest common multiple of l and 120?
360
Let m be (-421797)/25470 + (-8)/20. Let v be 18*((-281)/283 - -1). Let z = m + v. What is the common denominator of z and 121/6?
6
Suppose 1 + 11 = 4*b. Suppose 0 = -4*g - 4*j + 108, 20*g - 3*j + 55 = 22*g. What is the least common multiple of 1 - (-7 - (b + -2)) and g?
234
Suppose -27*j + 29*j + 2*x - 5130 = 0, -2*j + 5179 = -5*x. Calculate the smallest common multiple of 8 and j.
5144
Let v = 18071575/78798 + -5275/23. Calculate the common denominator of v and 91/2.
3426
Suppose -18 = -3*s + 2*k, 3*k - k + 14 = 2*s. Suppose -2*t + 54 = -s*h, -2*t + 48 = 4*h - 5*h. Let l = t - 19. What is the lowest common multiple of l and 4?
4
Let r = -2/8043 + 10327234/88473. Let i = -20115/176 + r. Calculate the common denominator of i and -19/524.
2096
Let f be 9680/96*6/(-28). Let d = f + 4183/168. What is the common denominator of d and -17/80?
240
Suppose 4 = 2*g, -5*g = 2*w - w - 42. What is the smallest common multiple of 4 and w + 12/(-9)*3?
28
Let v = 24 + -23. Let r be ((-35)/(-10) - 1)*(v - 19). Let z = r + 47. What is the smallest common multiple of z and 18?
18
What is the common denominator of -2 - ((-11)/((-616)/175))/(14/(-24)) and 29/84?
84
Suppose -3*i + 48 = 21*i. Suppose 0 = -i*q + 41 - 5. Suppose 0 = -z + 3*g - 10, -3*g + 12 = -4*z + 2*g. What is the lowest common multiple of q and z?
18
Let a = 2524709341/5692 - 443554. Calculate the common denominator of a and -41/10.
28460
Suppose 4*s + 5*v = 269, -2*s - 7*v + 130 = -3*v. Let q = s - 427/6. Find the common denominator of (-1161)/180 + 2*2 and q.
60
Let i = -3971 - -5089. What is the lowest common multiple of i and 6?
3354
Let u = 1392/55 + 11329/110. Let b = u + -686/5. What is the common denominator of 1 - 159/(-40)*2/(-9) and b?
60
Suppose 33*h - 53*h = -120. Calculate the smallest common multiple of h and 4 - (14/(-5))/((-6)/(-30)).
18
Suppose -15 = -v + b, -5*v - 265*b + 263*b = -54. What is the lowest common multiple of 1372 and v?
4116
Let q(x) = x**2 + 3*x - 4. Let r(f) = 10*f + 348. Suppose 0 = -3*s + 9, -24*s + 26*s = -5*o - 159. Calculate the least common multiple of r(o) and q(4).
72
Let a(s) = s**3 + 32*s**2 + 191*s - 32. Let u be a(-24). What is the common denominator of -2 - 5295/(-3591) - u/28 and 139/6?
342
Suppose -5*f = 4*n - 7, -3*n + 10 - 2 = f. Let l be -110*(n + 8 + -3). Calculate the common denominator of 25/7 and (-6)/9 - l/(-75).
35
Suppose -259 = 3*l - 5*o - 865, -3*l + 4*o = -600. What is the lowest common multiple of l and 192?
192
Let r be ((-6)/402)/(125602/(-6)). Let x = r - 14680550823/925686740. Let l = 164/11 + x. What is the common denominator of l and -5/2?
20
Suppose -23*l = 22*l - 810. Calculate the smallest common multiple of 678 and l.
2034
Calculate the common denominator of (-2 + (-325)/52)*32/(-7002) and 58/15.
5835
Let x be (-25)/(-675)*(7899 - 0). Let t = 21331/72 - x. What is the common denominator of t and 16/21?
168
Let p = 1380551 + -6864099597/4972. What is the common denominator of 133/4068 and p?
44748
Suppose 40*r = 848 + 1597 + 4995. Calculate the least common multiple of 310 and r.
930
Let m(q) be the second derivative of q**3/6 + 15*q**2 + 82*q - 2. Let f = -7 + 10. Calculate the lowest common multiple of f and m(-24).
6
What is the common denominator of -44/6507 and (-1210)/12*((-