 19 - 8. Let l(x) = -x**3 + 11*x**2 - 1. Let i be l(j). Calculate the least common multiple of 6 and (-24)/2*(0 + i).
12
Suppose 0 = u - 5, z - u - 25 = -4*z. Suppose 90 = -5*k + 5*o, -5*k - 28 = 5*o + 72. Let d = k + 35. Calculate the lowest common multiple of d and z.
48
Suppose 33 = -3*s + 165. Let v be (4282/8)/(s/872). Let n = -10605 + v. Find the common denominator of -3/20 and n.
220
Let d be 3 - 2209*(-5)/(-3685). Let c = -8113/2211 + d. Find the common denominator of -37/11 and c.
33
Let l = -662345 - -5258557/8. Let k = -5033 - l. Find the common denominator of 89/8 and k.
8
Let t = 1088 - 13067/12. Let z be (176 + 6)/((-2)/4). Find the common denominator of t and z/80 - (-5 + 2).
60
Calculate the common denominator of 89/4 + 109/218 and 47/420.
420
Let i(a) = 11*a**2 + 4*a - 23. Let r be i(9). Let v = r - 1863/2. Find the common denominator of -38/7 and v.
14
Let g = -11141122827 - -178146553934183/15990. Let d = 204/533 + g. What is the common denominator of d and 53/2?
30
What is the least common multiple of 15 and -11 - -6 - (-2 + 8*-9)?
345
Let m be 3 - (2 - (-4 + 8)). Suppose -m*k = -4*k. Suppose s = -k*s + 4. What is the lowest common multiple of s and 16?
16
Suppose 0 = b + 3*p - 51, -33 = -3*b - 2*p + 127. Calculate the smallest common multiple of b and 99.
594
Suppose -2*s + 693 = 3*f - 424, 3*s - f - 1648 = 0. What is the least common multiple of 11 and s?
6061
Let g be 1120035/10 - 9/(-6). Let l = g - 675497/6. Let u = 591 + l. Find the common denominator of 101/8 and u.
24
Calculate the lowest common multiple of 22 and ((-90)/27*6)/((-2)/77).
770
Suppose -24 = -5*o - 104. What is the smallest common multiple of (-72)/o + (-1)/2 and 6?
12
Let c = 2/1557 + -101213/6228. Let y be (23391/120)/(0 - -3). Let p = y - 333/5. Calculate the common denominator of c and p.
8
Let i = -688 - -695. What is the least common multiple of i and 50?
350
Let z = 13/2 + -52/9. What is the common denominator of z and -25/18?
18
Let m be 18/(-24) - 22/(-8). Suppose m*g + 0*g - 14 = 0. Let b(c) = 3*c - 15. Calculate the smallest common multiple of b(g) and 6.
6
Let y = 78 - 79. What is the least common multiple of 9 and (y*9)/((-3)/2)?
18
Let a be ((-1)/60)/(636/(-383550)). Let y = a + -57/424. Let m = 70849/16 + -4422. Calculate the common denominator of y and m.
48
Calculate the lowest common multiple of 82 and (9/6)/((-45)/(-120)).
164
Suppose 0 = -5*y - t + 10, -8 = 4*y - 0*y + 4*t. Suppose 28 = i - y*i. What is the common denominator of -50/11 and 89/(-21) + i/(-21)?
77
Let b be 44/6 + (-5)/15. Let h = 12 - b. Calculate the common denominator of -47 and (-1)/((h/(-43))/(-1)).
5
Let f = -16 - -65/4. What is the common denominator of (9/(-6 - -222))/((-4)/234) and f?
16
Suppose -17*i + 2068 = -2216. Calculate the least common multiple of i and 36.
252
Calculate the least common multiple of 64/7 + (-185)/1295 and 135.
135
Suppose -4*b + 17 = -3*b. Let u = 19 - b. Calculate the common denominator of 1/u - 104/(-6) and -46.
6
Let h = -16674/55 - -1494/5. Let f(j) = j**3 - j + 14. Suppose 0 = 2*m + 4*x - 14 + 2, 3*m - x + 3 = 0. Calculate the common denominator of h and f(m).
11
Let r = 23 + -20. Calculate the lowest common multiple of 1 and r.
3
Let t(d) = d**2 + 4*d + 6. Let n be (2 - (-9)/(-6))*-6. Let f be (3/n)/((-3)/(-12)). What is the lowest common multiple of 2 and t(f)?
6
Let r(j) = -j**3 - 5*j**2 + 8*j + 55. What is the least common multiple of r(-5) and 339?
1695
Suppose -5*c - 5*d = -4*d - 10, 0 = 4*d. Calculate the common denominator of 1 + ((-31)/c)/((-10)/(-4)) and 105/(-4)*(-40)/45.
15
Let d = 183/56 + -37/14. What is the common denominator of 79/172 and d?
344
Let k be 496938/(-22) + (-4)/(-22). Let s = -22547 - k. Let b = s + -3369/88. What is the common denominator of -67/8 and b?
8
Calculate the common denominator of -133/288 and (6/132)/(5/1860*-4).
3168
Suppose 8*v - 12*v + 16 = 0. Calculate the smallest common multiple of -4 + v + (1 - -2) and 4.
12
What is the least common multiple of (-2)/(-4) + 11/2 and 8/(-112) + (-1066)/(-28)?
114
Find the common denominator of 47/557 and 1/((-7)/6) - (-246)/189.
5013
Let o = -9667/4 + 2395. Calculate the common denominator of o and 43/5.
20
Let z = -1703 + 34183/20. What is the common denominator of z and -47/2?
20
Let w be (-232)/145*(-90)/(-4). Let a = w + 42. Calculate the lowest common multiple of a and 2.
6
Let x be -1*2/2540*2. Let w = 10157/1905 - x. Let s = -2111/44 + 201/4. What is the common denominator of w and s?
33
Calculate the common denominator of (11 - (-710)/(-60))*17 and (-2067)/270 + 4/(-10).
18
Let s = -1407/2 - -29569/42. Calculate the common denominator of (3 + -1)/(12/22) and s.
21
Find the common denominator of 704/(-24) - (-4 - 0) and 5/24.
24
Let h be 399/(-2) - (-10)/(-20). Find the common denominator of 1*-1 - (-930)/h and (1/44)/((-2)/(-4)).
220
Suppose 0 = b - 167 - 19. Calculate the common denominator of 151/18 and (2/b)/((-8340)/1386 - -6).
1116
Let s = 2/511 - -4579/5110. Find the common denominator of ((8 + 1)/9)/(-7) and s.
70
Calculate the least common multiple of (-63)/(-6)*(2 - 22/(-3)) and ((-36)/15)/(4/(-30)).
882
Let y = -56453/18898 - 50/859. Let g be 7605/(-12) + 1 + 2. Let m = 638 + g. Calculate the common denominator of y and m.
44
Let s = 52/17 + -495/34. Let y be 16/(-56) + 273492/35630. Let f = -5/509 - y. What is the common denominator of s and f?
10
Let a = -410 - -426. Calculate the smallest common multiple of 12 and a.
48
Let m = 35 + -75. Calculate the common denominator of 29/14 and (53/(-10))/(m/50).
56
Let u(i) = i**3 + 50*i**2 - 2*i - 88. What is the least common multiple of u(-50) and 2?
12
Let u = -349 - -207. Let y = -266 - u. Calculate the common denominator of 43/12 and 1 + (y/48 - 1).
12
Let z = -315601 + 1911947/6. Let x = z + -3064. Let h = 56 - 45/2. Find the common denominator of x and h.
6
Suppose -5*b = -1577 + 1382. Let w(v) = v**2 - 3*v + 5. Calculate the lowest common multiple of b and w(-4).
429
Let t = 3/151 + 5581/302. What is the common denominator of t and 47/10?
10
Let f = -10808 - -216249/20. What is the common denominator of f and -21/17?
340
Suppose -33*r + 35*r = 76. Calculate the least common multiple of 10 and r.
190
Let w(y) = -2*y**3 + 3*y**2 + y + 12. Calculate the lowest common multiple of w(0) and 138.
276
What is the common denominator of (129/(-6))/(3 + (0 - 0)) and -28/39?
78
Calculate the common denominator of 9395/11550 + (-8)/120 and 107/14.
154
Suppose -2*i = 5*x - 58, -11*i + 6*i = -5*x + 65. What is the lowest common multiple of x and ((-6)/(-4))/((-6)/(-32))?
24
Suppose -3*z = -l + 21, -z = -5 + 10. What is the least common multiple of l and 1?
6
Let v = -3 - -8. Suppose -4*o + 2*j = -12, -4*j = -3*o + v*o - 16. Calculate the least common multiple of o and 16.
16
Find the common denominator of (67/(-9))/(-1 - -9) and -5 - 3/48*-103.
144
Let z = 8912241/46 - 193762. Let q = z + 72/23. Calculate the common denominator of q and -26/7.
14
Suppose 5*i + 41 = -94. Let o(a) = a**3 - a**2 + 2. Let z be o(3). What is the common denominator of 578/33 - z/110 and i?
3
Suppose 2*v = -2*v + 16. Suppose -3*q - q = v. Calculate the least common multiple of q/2*(-2 + -38) and 6.
60
Let d be 6/(-4) + 5705/(-10). Calculate the common denominator of 310/(-15)*(-18)/(-32) and (-15 + 3)/(-4) - d/(-72).
72
What is the common denominator of -145/24 and (-169)/520 - 3/45?
120
Let r(m) = m**3 + 6*m**2 - 5. What is the smallest common multiple of 264 and r(-4)?
2376
Find the common denominator of -113/12 and -2 + (-80)/(-44) - 2.
132
Suppose -3*m + 72 = 4*f, -3*m = -5*f - m + 113. What is the common denominator of ((-28)/f)/((-2)/72) and 23/13?
13
Let k(u) be the first derivative of -u**3/3 - 5*u**2/2 + 4*u - 6. Let v be k(-6). What is the common denominator of (-32)/(-22) - (-1)/v and -111/20?
220
Let m(q) = q**2 + q - 4. Let g be m(-4). Suppose 3*f - 2 = -2*o, 0 = -2*o - 6*f + f - 2. What is the common denominator of 27/11 and 103/g*o/3?
66
Suppose 2*a + 60 = 5*a. Let n = 117 + -79. Suppose 2*g + 3*q - 34 = 0, g + g = -5*q + n. What is the lowest common multiple of a and g?
140
Suppose -4*t + 8 = -8*t. What is the common denominator of 6 + t + 106/(-36) and 3/4?
36
Let b = 24 + -36. Let x be 318/b + (-2)/