6
What is the common denominator of 45 and (1/22)/((-942)/474 - -2)?
22
Suppose 50 = -h + 6*h. Calculate the least common multiple of h and 4.
20
Let k be 1/2*-2 - 19. Calculate the common denominator of (-117)/k + (-1)/2 and ((-7)/6)/(1/(-19)).
60
Suppose -28*p + 12 = -26*p. What is the smallest common multiple of p and 11?
66
Let d = -2 + 0. Let b = d - -4. Suppose 0 = -y + b. Calculate the smallest common multiple of 5 and y.
10
Suppose 5*d - 199 = -64. Let s be (-276)/d + 2/9. Calculate the common denominator of 51/8 and (11/s*-2)/2.
40
Let u = -3286 + 23048/7. Calculate the common denominator of 22/9 and u.
63
Suppose 2*m - 30 = -m. Let c = 48 - 28. Calculate the lowest common multiple of c and m.
20
Let o = -39 + 55. Calculate the least common multiple of 10 and o.
80
Let y = -4192 - 1450. Let s = y - -56369/10. What is the common denominator of s and 4/6 - 10/(-21)?
70
Let j = 1/1115 + 31217/3345. Let n(v) = v**3 + 5*v**2 + 3*v. Let a = 6 + -11. What is the common denominator of n(a) and j?
3
Let f = -33 - -241. Let c = f + -1651/8. What is the common denominator of c and -59/10?
40
Calculate the common denominator of 53/12 and 4/6 + (-3025)/(-66).
12
Let y = 3010 - 30167/10. Calculate the common denominator of 2/(-32) + (8 - (-5 - -11)) and y.
80
Let p(m) = -m**2 - 2*m - 1. Let w be p(-1). Let z(k) = -k**2 - k + 4. What is the least common multiple of 288/21 + 2/7 and z(w)?
28
Find the common denominator of (-9)/12*(-17)/(-9) and 43/20.
60
Let o(a) = -5*a**2 - a + 2. Let l be o(-2). Find the common denominator of 8/(-2) - 106/l and -17/18.
72
Let m = -24/1495 + -2/1495. Let g = m - 216/805. Find the common denominator of g and -13/8.
56
Suppose 12 = 3*n - 5*f, -24 = -4*n - 2*f + 6*f. Suppose -2*c = n - 13. Calculate the lowest common multiple of 10 and c.
10
Suppose 5*c - i - 2*i + 1 = 0, 0 = 5*i + 15. Calculate the common denominator of (-24)/5 - c/(-4) and 25/7.
70
Suppose -4*l - 4*d = -0*d + 8, -5*l + 20 = -d. Let t = 9 + 2. What is the smallest common multiple of l and t?
33
Let y = -24763/1170 + -1/585. Let s be (-2 + 2)/2 + 0. What is the common denominator of (-41)/(s + 5 + 2) and y?
42
Let a(h) = -3*h - 1. Let q be a(-1). Suppose 4*n - 18 = q. Suppose 0 = b + o - 5, 2*b - 6*b = -2*o - 2. What is the smallest common multiple of b and n?
10
Suppose -2*q + 3*q - 4*y + 8 = 0, -17 = -5*q + y. Suppose 4*z - 69 + 0 = -3*c, q*z - 5*c = 77. What is the smallest common multiple of z and 6?
18
Let j = -2 - -12. Calculate the lowest common multiple of j and 10.
10
Suppose -3*a = -a - 12. Suppose -3*g + 2*c + 13 = -39, -g + 23 = 5*c. Calculate the lowest common multiple of a and g.
18
Suppose -2*x - 3*g = 2*g + 73, 53 = -2*x - g. What is the common denominator of 8/9 and ((-20)/9)/(x/(-36))?
9
Let k(w) = -w**2 - 5*w - 2. Let d be k(-5). What is the common denominator of 0 - (82/12 + -1) and d/25*(-1335)/(-12)?
30
Let x = 111 + -225. What is the lowest common multiple of 12/(-66) + x/(-22) and 4?
20
Suppose 2*n - g + 16 = 0, -4*n - 3*g = 13 + 19. Suppose 3*q - 5*q - 74 = 0. Find the common denominator of q and (-2)/n + 199/(-4).
2
Let i = -3033/7 - -438. Calculate the common denominator of i and 1.
7
Let x(n) = n**3 + 7*n**2 + 8*n - 2. What is the smallest common multiple of 88 and x(-5)?
88
Let u(l) = l**2 + 5*l + 6. Let c be u(-4). Suppose 3*r - 5*q + 34 = 0, 0 = -c*r - 0*r + 3*q - 22. Find the common denominator of r and -7/11.
11
Let k be (3 + -5)*2/(-4). Suppose -5*q - k = -26. Let y(w) = 6*w. Calculate the lowest common multiple of q and y(1).
30
Let x = -1 + 11. Calculate the least common multiple of 1/(1 + 6/(-8)) and x.
20
Let j(k) = -3*k - 2. Let x be j(-2). Suppose -6*t = -5*t - x. Suppose t = -o + 2, o = 5*d - 27. What is the lowest common multiple of 4 and d?
20
Suppose 0 = c + 2. Let q(u) = 11*u**2 + 11*u + 10. Let t be q(10). Calculate the common denominator of (c/(-5))/((-16)/t) and 117/14.
14
Suppose 128*s + 17 = 129*s. Calculate the lowest common multiple of s and 1/4 - (-6)/8.
17
Calculate the common denominator of 10/100*(-89 - 0) and -43/10.
10
What is the smallest common multiple of 10 and 219/15 + -2 + 28/20?
70
Suppose 4*j - 28 = s, -2*j + 3*j + 4 = 3*s. Let h(v) = -v**3 + 9*v**2 - 9*v + 7. Let n be h(j). Let d = n - -6. What is the lowest common multiple of d and 8?
40
Let v be 1 - (92/(-4) + 0). Find the common denominator of (-26)/39 + (-374)/v and -12/5.
20
Let d be 4/(-14) - 393/(-1400). Let u = d - -21/200. What is the common denominator of (6/(-8))/(90/(-1130)) and u?
60
Let r = 1361/109 - -515965/981. Let p = 539 - r. Let x = -2141 - -19291/9. Find the common denominator of x and p.
9
Let n = 11 + -9. What is the smallest common multiple of 7 and n?
14
Find the common denominator of ((-52)/(-132))/((-2)/18) and 67/6.
66
Suppose 2*d + 5 = -3*d, b + d = 8. Calculate the least common multiple of 6 and b.
18
Suppose 3*j - 59 = -11. What is the lowest common multiple of j and (104/130)/(2/55)?
176
Let q = 19 - 8. Calculate the smallest common multiple of q and 9.
99
Suppose 5*i + 55 = 5*m - 0*m, 0 = 4*m + 4*i - 36. What is the smallest common multiple of 14 and m?
70
Suppose -27 = -l - 2*l. Calculate the common denominator of ((-129)/(-18))/((-1)/3) and l/48*(-178)/3.
8
Let g = -1581/10 - -809/5. Calculate the common denominator of g and 5/(-20) - 126/8 - -4.
10
Let a = -794965/12 - -79911. Let t = a - 13674. What is the common denominator of t and -29/14?
84
Calculate the common denominator of (-5)/15*(-1)/(-8)*101 and -46/33.
264
Let b(u) = u**3 + 11*u**2 + 8*u. Let w be b(-9). Suppose d + 64 = 3*r, -2*d + w = 4*r - d. Calculate the smallest common multiple of r and 2/7 + 770/49.
176
Let p = 85/32 - 2989/288. What is the common denominator of -63/20 and p?
180
Suppose 6*i - i - 4*d - 188 = 0, -3*i - 3*d = -102. What is the common denominator of -70/3 and (9/i)/((-9)/160)?
9
Suppose -3*a - a - 16 = 5*u, 3*u = -2*a - 10. Calculate the least common multiple of (-3)/((-21)/12 + a) and 18.
36
Let t(l) = l**3 + 3*l**2 + 2*l + 3. Let s be t(-2). Let c = s - 4. What is the common denominator of -6*(-2)/80 - c and 81/14?
140
Let t = 20 - 6. Calculate the lowest common multiple of 6 and t.
42
Calculate the lowest common multiple of ((-120)/7)/(-2) + (-99)/(-231) and 4.
36
Let f = 18682 + 15001. Let l be f/770 - 4/10. Let s = l + -498/11. Calculate the common denominator of s and -43/16.
112
Let m = -3633/5 + 265364/365. Find the common denominator of 7/2 and m.
146
Let m be 5/(-10) + 22391/6632. Let p = -1/829 + m. Find the common denominator of p and 137/6.
24
Let n(z) = -z**2 - 13*z - 13. Let y be n(-12). Calculate the least common multiple of 8 and (1 - 0) + 8 + y.
8
Let v(f) = -45034*f**2 - 2*f + 2. Let q be v(-2). Let l be (-4)/112*(q + 0). Let m = l - 6425. Find the common denominator of m and 99/2.
14
Suppose 4*p + 4*f + 22100 = 0, 5982 = -5*p - 2*f - 21652. Let x = p - -77353/14. What is the common denominator of x and -77/16?
112
Let q = 2978 + -23759/8. What is the common denominator of q and -61/6?
24
Suppose i + 0 = -1, -3*k = -i - 31. What is the lowest common multiple of k and 116?
580
Suppose -13 = 2*t - 55. Let v = 60 - t. Calculate the common denominator of (0 - 1)/((-9)/v) and 3/2.
6
Let u(q) = -q**3 - 13*q**2 - 14*q - 18. What is the least common multiple of 3 and u(-12)?
6
Suppose -6*d = -2*d - 88. Suppose 2*r - 30 = -2*r - 3*g, -2*r = g - 14. Calculate the least common multiple of r and d.
66
Let p = -23252629/3058 - 44631/139. Let c = 7923 + p. Let t = 25/193 + -22109/2316. What is the common denominator of c and t?
132
Let t = -4758/1111 - -1/101. Find the common denominator of 7 and t.
11
Let k = 34852/23 - 325228/253. Let r = k + -233. Find the common denominator of r and 21/5.
55
Let m(a) be the second derivative of a**3/6 - a**2 - 4*a. What is the lowest common multiple of 16 and m(6)?
16
Let p = 98698/35 + -2821. Calculate the common denominator of p and 123/10.
70
Suppose 0 = 3*s - 4*s + 13. Suppose -a = -s + 5. Let c(j) = -9*j**3 + 2*j**2 + j. Calculate the least common multiple of c(-1) and a.
40
Let o(f) = 3*f**2 + 3*f + 4. Calculate the least common multiple of 20 and o(-2).
20
Let p(f) = -6*f - 2. What is the smallest common multiple of 10 and p(-3)?
80
Calculate the lowest common mul