 Let c = w + -87/67. Calculate the common denominator of c and b.
66
Let u = -3413/90 + 425/9. Calculate the common denominator of (31/(-4))/((-7)/(42/5)) and u.
10
Let c = 1609 + -856. Calculate the common denominator of ((-2)/(-24))/(3 + c/(-250)) and 79/18.
18
Calculate the common denominator of (-158 + 0)*4/312 and 133/90.
1170
Suppose 131 + 49 = 10*m. Calculate the lowest common multiple of 60 and m.
180
Suppose -4*n - x + 81 = 4*x, -3 = -2*n + 5*x. Let t(k) = -k**3 + 15*k**2 - 15*k + 8. Let p be t(n). What is the common denominator of 21/8 and 998/44 + p/33?
8
Suppose 31*h + 200*h + 815 = 2201. Let n be (-8)/6 - 2/(-6). Let a(o) = -8*o**3 + 1. Calculate the least common multiple of h and a(n).
18
Let y be -5*2/(-1 + -1). Find the common denominator of 42/20 - (-1)/(10/y) and 103/12.
60
Let g = -85658 - -1542911/18. Let m = -129931/9 - -14409. Let p = m + g. Find the common denominator of p and 41/7.
14
Suppose 7*d = -133 + 385. What is the lowest common multiple of ((-6)/2)/((-12)/112) and d?
252
Suppose 14 = 3*t + 8*o - 4*o, -2*o - 26 = -4*t. What is the smallest common multiple of 1 and t?
6
Let w = -365488/21 + 17408. Find the common denominator of w and 19/72.
504
Let w be 20/((-12)/3) - -11. Suppose 3*o + p = 19, w*p - 3*p + 27 = 5*o. What is the smallest common multiple of o and (-8)/3*(-3)/2?
12
Let a = -1157/5 + 704/3. Let f = 16252 + -438860/27. Find the common denominator of a and f.
135
Let a = -585 + 1723/3. Find the common denominator of a and ((-1043)/63)/((-30)/(-9)).
30
Let o(d) = 7*d**3 - 18*d + 17. Let u be o(13). Let c = 212385/14 - u. Calculate the common denominator of c and 77/20.
140
Let t be (-3)/(((-42)/4)/(-7)). What is the least common multiple of 6 and 5/t*120/(-75)?
12
Calculate the common denominator of -21/8 and (1/(-2))/(34400/(-2300)).
688
Let a(r) = r. Let n be a(-3). Let z be 3*(2/3 - n). Let t = -8 + z. Calculate the lowest common multiple of 7 and t.
21
Let j(s) = -5*s + 199. What is the lowest common multiple of 147 and j(23)?
588
Suppose -808 = b - 3*b. Let h be (54/(-3))/((-3)/b). Let g = h + -43655/18. Calculate the common denominator of 15/14 and g.
126
Calculate the lowest common multiple of 12 and -34*(10 - (-8 - -21)).
204
Let s(x) = -x**3 + 11*x**2 - 6*x - 30. Let c = -9 + 19. What is the lowest common multiple of s(c) and 11?
110
Let n = 86 - 78. What is the least common multiple of n and 280?
280
Suppose -i - 4*i - 3*k - 78 = 0, 2*k = -4*i - 64. Let f be -6*3*8/i. Suppose -s - f = -5*s. What is the least common multiple of 4 and s?
4
Suppose 5*c = 10*c - 10. Suppose 0 = -c*d - 5*s + 4, 3 = 4*d - 4*s - 5. Calculate the least common multiple of 10 and d.
10
Suppose 19*l - 5*n = 22*l - 53, 2*l + 4*n - 38 = 0. Let o = 35227/10 + -3519. Find the common denominator of o and l.
10
Let h(b) = 6*b**2 + 2*b - 10. Calculate the common denominator of 1/7 and h(2).
7
Let r(u) = -2*u + 32. Let v be r(11). What is the smallest common multiple of 4 and -2 + -2 - (1 - v)?
20
Let f(x) = -x**3 + 14*x**2 + 18*x - 9. What is the least common multiple of f(15) and 390?
2340
Let t(w) = 2*w**3 - 41*w**2 + 29*w - 157. Calculate the common denominator of t(20) and 170/16 - (-1 - -2).
8
Suppose -16 = z - 5*z. Suppose 0 = -4*w - 5*c + 4 - 208, 152 = -3*w - z*c. Let f = -40 - w. Calculate the smallest common multiple of 10 and f.
80
Let l = 6 - 4. Suppose p + 5 = l. What is the common denominator of ((-1431)/60)/(-9) + p and -69/2?
20
Let f(v) be the second derivative of -v**4/6 - 13*v**3/6 - v**2/2 + 6*v. Let x be f(-6). Suppose -t = -5 - x. Calculate the least common multiple of 10 and t.
10
Let h = 65 - 49. What is the least common multiple of h and 20?
80
Calculate the common denominator of (-285)/(-320) - 2/(-8) and -33/32.
64
Let n = -40 + 42. What is the common denominator of (n/(-66))/(5 + (-1063)/213) and -137/12?
132
Suppose 5*i - 2*i - 3 = 2*b, 0 = b. Let d(a) = -52*a**3 - 1. Let c be d(i). Let z = c - -3. Find the common denominator of -32/5 and z.
5
Calculate the common denominator of 39/40 and 2/12 + (-7943)/(-5640).
40
Suppose 5*i + 200 = -3*i. Calculate the smallest common multiple of (-10 + 9)/(i/12 - -2) and 24.
24
What is the common denominator of (2 - 87)*(3/6 + -1) and 47/12?
12
Calculate the least common multiple of (-33)/4*4*(-16)/4 and 110.
660
Let a = -2227 - -26761/12. Find the common denominator of a and 57/56.
168
Let a = -3538 + 145050/41. Find the common denominator of (4/(-14))/(760/(-25802)) and a.
410
Suppose -b = 4*b + 205. Let h = -40 - b. What is the least common multiple of h and 2?
2
Suppose -3*k - 156 + 42 = 0. Calculate the common denominator of k/4 + 2/6 and (-22)/(-4) - (-1)/3.
6
Let b be 63/12 + (-1)/4. Suppose 0*i - 95 = -b*i. Suppose -4*x = -3*v - 53, -4*x - v = -2*x - i. Calculate the smallest common multiple of x and 4.
44
What is the least common multiple of 81 and (-1776)/(-9) + 2/3?
1782
Let v(t) = 2*t**2 + 2*t + 3. Let r be v(-2). Suppose 0 = -h - 4 + r. Suppose h*p - f = f + 34, -p + 2 = 4*f. Calculate the least common multiple of p and 16.
80
Suppose 8*p - 378 = 2*p. Calculate the least common multiple of p and 56.
504
Let j = 1857 + -1843. What is the least common multiple of 260 and j?
1820
Suppose 0 = 9*n - 4*n - 90. Calculate the lowest common multiple of n and 72.
72
Let d(q) = 9*q**2 + 5*q + 7*q + 4 - 10*q**2. Let i be d(11). What is the common denominator of (295/i)/(5/(-3)) and 48/7?
35
Let t(j) = -2*j + 1522. Let b be t(0). Find the common denominator of b/140 - (-48)/(-84) and (-294)/(-35) - (2 + -5).
10
Let m be ((-21)/(-24))/((-1626)/(-296)). Let c = -2/271 - m. Calculate the common denominator of c and 26/6*21/16.
48
Let u = -18 - -21. Suppose z + c - 25 = -9, 0 = -u*z - 2*c + 44. Calculate the common denominator of (2/z)/(13/(-1313)) and -57/2.
6
Let h be 2 + (-48792 + -4)/4. Let u = -170839/14 - h. Find the common denominator of (-27)/42 + 1 - -2 and u.
14
Let s be (-6 + 7)*0/(-1). Find the common denominator of 93/22 and s + (-178)/44 + 4.
22
Let j(m) = -19*m - 96. Let r be j(-5). Suppose 0 = -3*f + 2*f - 4*z - 16, 3*z = -5*f - 165. Calculate the common denominator of 79/22 and (1 + (-381)/f)/r.
132
Let n(a) = -a**2 + 3. Let d be n(0). Find the common denominator of (1377/252)/(d/2) and 119/20.
140
Let u = -643/4 - -309/2. Let v = -26 - -2. What is the common denominator of u and (-165)/v - (5 + -4)?
8
Let r = 23 + -21. Suppose -r*c + 0 = 4. Calculate the common denominator of c/17 + (-5019)/1122 and -5/22.
22
Let i(r) = r**3 - 2*r**2 - 6*r + 1. Let p be i(4). Suppose k - p = -19. Calculate the common denominator of (-2)/(-5) - 56/k and -12/7.
7
Calculate the common denominator of (0 - 22/(-148))/(64/(-192)) and -69/2.
74
Let c(g) = -29*g + 449. Calculate the least common multiple of c(15) and 222.
1554
Suppose -4*u + 17 = 3*o, -22 = -3*u - u + 2*o. Calculate the common denominator of 65/22 and (-16)/64*(-142)/u.
110
Let j be 1/(44/(-42) + 1). Let l = j - -33. Calculate the smallest common multiple of (8/2)/2 - 0 and l.
12
Suppose -1538 - 298 = -51*j. Calculate the smallest common multiple of j and 200.
1800
Let f(r) = 3*r**3 + r**2 - r - 1. Let u be f(-2). Let k = u - -20. What is the lowest common multiple of k and 8?
8
Let w = 31 - 15. Let m = 24 - w. Suppose 0 = t + 2*h - 6, 2*t + h = 4*h + 12. What is the least common multiple of m and t?
24
Suppose -9 = -p + 42. What is the smallest common multiple of 17 and p?
51
Let h(j) = 29*j**2 + 5*j - 7. Let a be h(2). What is the common denominator of (88/(-154))/((-6)/a) and 3*((-35)/(-27) - 2)?
9
Suppose 12241 - 40016 = 5*f. Find the common denominator of (1*-2)/10*f/(-44) and 7/2.
4
What is the common denominator of (-3 - 32/(-12)) + 1528/(-384) and -89/28?
112
Suppose -5*o - 8 = h, 3*h + 0*o - 5*o + 4 = 0. Let b = -7 + h. Let m = -4 - b. What is the lowest common multiple of m and 10?
30
Suppose 45 = 4*z + 5*f + 14, 2*z + 2*f - 14 = 0. What is the lowest common multiple of (-9)/12 - (-2 - (-117)/(-12)) and z?
44
Find the common denominator of -51/14 and ((-7)/3)/(-7) + 337/(-30).
70
Let b(r) = -10*r**3 + r**2 - 4*r - 1. Let y be b(-3). Suppose y = 4*t + 62. Let v = 27 - t. Calculate the common denominator of -65/4 and v.
4
Let z = 460 - 464. Suppose i - 5*i - 24 = -2*t, 0 = 4*t - i - 27. Let y = 