5643/248160 - -10/517. Find the common denominator of -23/20 and j.
480
Suppose 145 = 5*h - 0*h. Suppose 5*p = -5*j + 235, h = 2*j + p - 63. Calculate the common denominator of -107/48 and 4 - (j/(-48) + 0).
48
Let x(l) = 2*l + 2. Let c be x(3). Let j = 5 - c. Let y = j - -8. What is the smallest common multiple of 10 and y?
10
Calculate the common denominator of 63/20 and 1/4 - (7 - (-104)/160).
20
Let u(h) = -h**3 + 21*h**2 - 28*h. Let y be u(19). Calculate the common denominator of 4/240*2*y/24 and 37/6.
72
Suppose 2*i + 10 - 36 = 0. Suppose -1 = -2*o + i. What is the smallest common multiple of ((-8)/(-10))/(o/70) and 10?
40
Let p = -7799795/8092734 - -2/58643. Calculate the common denominator of -63/92 and p.
276
Suppose 0 = 5*y + 15 - 65. Suppose 31 = -3*k + 4*z - 5*z, -3*z = 3. Let v = 13 + k. Calculate the smallest common multiple of v and y.
30
Suppose -4*f = -3*z - 7*f + 21, 4*z - 22 = 2*f. What is the lowest common multiple of z and 9?
18
Suppose -184 = a + 1477. Let o = a + 11650/7. Find the common denominator of o and ((-174)/(-9))/(5/(-3)).
35
Let w(p) = 2*p**3 + 18*p**2 + 6*p + 16. What is the least common multiple of w(-8) and 12?
96
Find the common denominator of (-7062)/5720 + (-2)/8*-5 and 56/3.
195
What is the common denominator of (-6 - 2180/(-135))*(-9)/12 and 1/116?
1044
Let w = 9 - -3. Suppose 4*i - i = w. Calculate the lowest common multiple of 102/14 - i/14 and 4.
28
Let s(i) = i**3 + 6*i**2 + 4*i + 10. Let n be s(-5). Suppose -3*h = 3*g + n - 81, -4*h + 56 = -4*g. What is the smallest common multiple of 22 and h?
198
Let b(q) = -q**2 + 30*q + 156. What is the least common multiple of 12 and b(33)?
228
Let m(s) = -4*s**2 - 12*s - 9. Let v be m(-18). Let g = v - -5498/5. What is the common denominator of -27/4 and g?
20
Suppose -63*s = -60*s - 237. Calculate the lowest common multiple of s and 9.
711
What is the common denominator of 5/65 - 1880/6188 and -67/21?
357
Let x = -2017/12 - -490/3. Find the common denominator of x and (45/(-30) - -8)*2/(-6).
12
Let y(u) = 10*u - 7*u - 8 + 2*u - 6*u. Let p be y(-11). Suppose -p*b = b - q - 44, 55 = 5*b - 4*q. Calculate the least common multiple of 1 and b.
11
Let h be 2/(-2) + ((-577265)/11450)/13. Let s = h + -5/229. Find the common denominator of 23/9 and s.
90
Suppose 0 = 5*f + 5*g - 20, -g = 3*f - 4 - 4. Let h be (f - 93 - -2) + 0. Find the common denominator of h/(-4) - (-8)/16 and 87/8.
8
Suppose 0 = -2*g - 2*g - 3*y + 435, 0 = -3*g + 3*y + 300. Suppose g = 9*n + 15. Calculate the smallest common multiple of n and 8.
40
Let b be (-6)/(-1)*(-64)/(-48). What is the smallest common multiple of 1*b/(-4) - -34 and 2?
32
What is the common denominator of (1188/483 + -3)*(-7)/10 and 60/161?
1610
Let r be (-13955086)/(-5976) - (-1)/4. Let x = -29092/83 - r. Let g = x - -2682. Find the common denominator of g and 43/12.
36
Suppose 7*m + 24 = 3*m. Calculate the common denominator of (58/m - 4)/9 and -37/2.
54
Let z be (-98)/(-55)*(150/(-174))/(-5). Let d = z - -57/29. Find the common denominator of 97/10 and d.
110
Let i = 16303/912 - 13/304. Let w = -85221/8 - -10650. What is the common denominator of i and w?
24
Let d = -27568 + 1240469/45. Calculate the common denominator of d and 2/215.
1935
Let h(o) = o + 2. Let w be h(-12). Suppose 16 = -2*q - 8. Let i = w - q. Calculate the smallest common multiple of i and 7.
14
Let d(z) = z. Let u(k) = 13*k + 3. Let y(i) = 3*d(i) - u(i). Suppose 0 = 5*g - c + 27, -4*c - 3 = -11. What is the common denominator of 1/2 and y(g)?
2
Suppose g - 1591 = -4*x, 4*x - 78*g = -76*g + 1606. Calculate the lowest common multiple of x and 9.
1197
Let r be (-1706)/(-3)*32/6. Let m(a) = 756*a**2 - 2*a + 5. Let d be m(2). Let o = r - d. What is the common denominator of o and -41/14?
126
Let l(p) = -19*p + 1. Suppose -9*o = -2*o - 56. Let s = 24 - o. Calculate the smallest common multiple of s and l(-1).
80
Let g = -144 + 147. Suppose 5 = 4*k - 3. Suppose -4 = -g*l + k. What is the least common multiple of l and 12?
12
Suppose 2541 = -f - 2523. Let u be (-133314)/f*(-1)/(-6). Let c = 8/633 - u. What is the common denominator of c and -43/10?
40
Let f(l) = l**2 + 24. Let g be f(0). Suppose 5*p - 2*p = g. Find the common denominator of 32/7 and (3/p)/((-18)/200).
42
Suppose 451 = 12*r + 91. What is the lowest common multiple of r and 54?
270
Let w be (1800/105)/((-4)/154). Find the common denominator of (-2)/10 - 3492/w and -85/8.
88
Suppose -y - 4*q + 60 = 0, -y + 3*y - 120 = 2*q. Let f be (-15)/(-6)*41397/y. Let v = -1721 + f. What is the common denominator of 12 and v?
8
Suppose 5*p - 2*g = 3*p - 6, -p - 4*g - 3 = 0. Let y(i) = i + 6. Let w be y(p). Let k = w - -3. Calculate the lowest common multiple of k and 18.
18
Calculate the common denominator of -117/20 and (-4)/(-34)*781/308.
2380
Let t = -8088 + 566071/70. Find the common denominator of 41/2 and t.
70
Let s = -561 + 8943/16. Calculate the common denominator of s and 95/4.
16
Suppose -4*z - i = -67, -5*i - 61 = -41*z + 39*z. Let v(t) = t**2 - 5*t. Calculate the smallest common multiple of v(7) and z.
126
Let y(h) = -10*h + 90. Let z be y(9). Suppose 29*x - 35*x + 30 = z. What is the smallest common multiple of x and ((-2)/5)/((-1)/25)?
10
Let z(w) = 4*w**2 - 42*w + 88. Calculate the least common multiple of 16 and z(17).
4240
What is the common denominator of (333/(-54))/(75/27) and -56/45?
450
Suppose 4*c - 5*f = 386 + 278, c - 5*f = 151. Calculate the least common multiple of c and 133.
1197
Let s = -887709/28 + 31684. Let b = 81/4 + s. What is the common denominator of b and -103/22?
154
Let c = 61333/6 - 10197. Let o = -12/233 + -11182/9087. Calculate the common denominator of c and o.
78
Let x be ((-4)/(-3))/((-21244)/(-3036) + -7). What is the common denominator of x/(-69)*((-79)/36 - -2) and -79/16?
432
Let p = -71 + 75. What is the common denominator of ((-95)/(-170))/(p/4) and 21/10?
170
Let g(h) = h**2 - 3*h - 1. Let y be g(5). Find the common denominator of (-5)/((-50)/21) - -1 and 274/120 + 6/y.
20
Let o(q) = q**3 + 8*q**2 - 3*q - 20. Let z be o(-9). Let j = 78 + z. What is the smallest common multiple of 40 and j?
40
Let b = -5130313/24 - -213793. Let r = -357/8 + b. What is the common denominator of r and 9/20?
60
Suppose -1464 = -m - 2*b, -5*m - 2*b + 5*b = -7268. Find the common denominator of -61/10 and 3160/m - 2/7.
130
Let o = -31 + 67. What is the smallest common multiple of 24 and o?
72
Suppose -6*v + 158 + 406 = 0. Let p = 3130/9 - 353. Find the common denominator of p and 8/96*v/(-1).
18
Suppose -4*c - 50 = 250. Let a be -2*4/8 + c. What is the least common multiple of 16 and a/(-57) + 4/6?
16
Let d(o) = o**2 - 4*o + 1. Let n be ((-11)/(-2))/((-1)/(-2)). Suppose -4*w - 4*q = n - 51, 3*q = w + 10. Calculate the smallest common multiple of 7 and d(w).
42
Let x(q) = 46*q**2 + 2*q + 1. What is the common denominator of (-3)/12 - 142/(-88) and x(-1)?
11
Let m(b) be the third derivative of b**6/120 + b**5/15 + b**4/8 + b**2. What is the least common multiple of m(-2) and 6?
6
Suppose 31*r - 2904 = 1746. What is the smallest common multiple of r and 20?
300
Let c(d) = -2*d**3 - 59*d**2 - 31*d + 5. What is the lowest common multiple of c(-29) and 234?
1638
Let p be 439/((-154)/(-8) + (-21)/(-28)). Let x be (51/15)/(4/25). Let y = p - x. Find the common denominator of 51/7 and y.
70
Let t = -1833 - -1863. Calculate the least common multiple of t and 507.
5070
Suppose 0 = -5*y + 16 + 14. What is the least common multiple of y and 20 + 32/12*3/4?
66
Let h = -27 + 45. Let p = -20/3 + -77/6. Find the common denominator of p and ((-27)/(-2))/(12/h).
4
Find the common denominator of 388/(-32) - 2*6/(-4) and (6/36)/(20/(-198)).
40
Let i = -994345496/11617 - -85594. Let r = 1359149/232340 + i. What is the common denominator of r and -3/110?
220
Let r = -908 - -968. Calculate the smallest common multiple of r and 40.
120
Let p = 74 - 66. Calculate the common denominator of -10/9 and (270/p)/9*(-8)/29.
261
Let v = -3760885/48 + 78349. Find the common denominator of v and -82/75.
1200
Suppose 3*q - 2*q = -6*q. Suppose -3*m - 9 = q, 2*m + 17 = 2*r - 1. Let p(w) = -w**2 - 7*w - 6. What is the lowest common multiple of r and p(-5)?
12
Let q be 112/144 + 2/9. What is the common denominator of