
Let f = 22/25 - -847/600. What is the common denominator of 33/124 and f?
744
Let u = 7 + -8. What is the common denominator of (-568)/48*4/6 and 232/(-20) + u + 1?
45
Let h be (-6)/10 - 111/(-35). Let k = 613/56 - h. Calculate the common denominator of k and -27/22.
88
Let s = -9305 - -251192/27. What is the common denominator of 4 + (1/(-3) - (-60)/32) and s?
216
Calculate the common denominator of -4 - -4 - (621/(-312) + 1) and -91/12.
312
Find the common denominator of (-146)/(-480) + (4 - 16/5) and 31/2.
48
Let i(h) = h**2 - 7*h + 6. Let y be i(5). Let x be -1*3/(8359 + y). Let d = -236721/11140 + x. Find the common denominator of d and -25/18.
36
Suppose -7*w + 8 = -9*w. Let u(n) = -5*n - 9. What is the smallest common multiple of 11 and u(w)?
11
Let p be 8841/(-12) - (6/(-8))/(-3). Let i = -400598 - -4398495/11. Let q = p - i. Calculate the common denominator of q and 31.
11
Let p = 2/8865 + -523081/203895. Let w = 1619/138 + p. Let a = 2/16649 - 1182135/466172. Find the common denominator of w and a.
84
Suppose 0 = -8*u - 2965 + 3037. Let j be (0/((-2)/1))/(-1). Suppose 2*q - 2 = -j*q. Calculate the least common multiple of q and u.
9
Let w = -19 + 11. Let l = -2 - w. What is the smallest common multiple of (-29 - -28)/(27/(-42)) - 4/(-9) and l?
6
Suppose -3*r + 4*s + 14 = 0, 2*s = -4 - 6. Let a = r - -20. Calculate the lowest common multiple of a and (-4)/18 - (-148)/18.
72
Suppose 2*l - 4*k - 28 = 0, k + 17 = 3*l - 0*k. Suppose -2*y + 3*u = 69, -1 = l*u - 3*u. Calculate the least common multiple of 16 and 6/(-15) - y/15.
16
Suppose 31*k = 47*k - 960. Calculate the smallest common multiple of 100 and k.
300
Suppose 7 = 4*n - 21. What is the smallest common multiple of 3 and 2/14 + 69/n?
30
Let c(v) = v**3 - 14*v**2 - 4*v + 22. Let x be c(14). Calculate the common denominator of -9/2 and (-1550)/84 - x/119.
6
Let j = -237/14 - -17. Calculate the common denominator of 41/2 and j.
14
Suppose -11 + 7 = 4*g, d = 5*g - 18. Let c = -18 - -13. Find the common denominator of (2/8)/(c/435) and d.
4
Let b = 9/3535 - 1195699/63630. Let z = b + 107/5. What is the common denominator of z and (225/(-24))/((-42)/8)?
126
Let k = -33010951/457 + 72234. Find the common denominator of 5/11 and k.
5027
Let p = 4 + 11. Suppose p = 5*r + 5. Suppose r*t + 11 = 71. What is the lowest common multiple of 4 and t?
60
Suppose -4*c = 2*b + 227 - 343, 0 = 5*c - 5*b - 160. Calculate the least common multiple of c and -1*(-2)/(-4)*-60.
30
Suppose 0 = 6*w - 22526 - 11938. Suppose -8*d = -12*d + w. Let q = 2935/2 - d. Calculate the common denominator of -51/10 and q.
10
Suppose -2*x = -504 + 180. Calculate the lowest common multiple of 6 and x.
162
Let b(m) = 2*m + 4 + 9 - 19 + 10. Let o be b(0). Suppose o*n = -n + 10. Calculate the least common multiple of n and 16.
16
Let m = 5597/3 - 1842. Let t = -3 - -48. Find the common denominator of t and m.
3
Let i be (-7148)/7154 - (-4 - -3). Let v = i + 346939/35770. Calculate the common denominator of v and 115/12.
60
Suppose -2*l = 2*l. Suppose l = 2*h - 2 - 2. Find the common denominator of 4/h - (-90)/(-21) and 73/3.
21
Suppose -72 = -2*z - 4*z. Suppose z*l = 6*l + 72. What is the lowest common multiple of l and 6?
12
Let k = -1120 + 1424. Calculate the lowest common multiple of k and 8.
304
Let l(h) = h**3 + 5*h**2 - h. Let g be l(-5). Suppose g*m - 57 = -3*o - 21, -5*m + 48 = 4*o. What is the common denominator of 0 + 0 - 183/o and -51/4?
4
Let x = -12 - -33. Suppose 0 = -3*l - 2*v + 59, l + 1 - x = -v. Suppose -12 = -j - 4. What is the smallest common multiple of j and l?
152
Let l be 3 + (-3)/3 + 1. Suppose 7 = l*i - 20. What is the least common multiple of i and 9?
9
Let k = -5361 + 3005. Let a = k - -23679/10. Let f = 583 - 9309/16. Calculate the common denominator of a and f.
80
Let j(d) = d**2 + 12*d - 7. Let u(f) = -f. Let m(y) = -j(y) - 2*u(y). What is the least common multiple of 3 and m(-10)?
21
Let z(a) = 2*a**2 + 68*a + 44. Calculate the smallest common multiple of z(-34) and 400.
4400
Suppose -5 = 24*o - 245. What is the smallest common multiple of 114 and o?
570
Let k be 19/(15561/(-162))*(-89)/2. Let d = -6084 - -79238/13. Let h = d - k. Calculate the common denominator of h and 32/11.
77
Let s(a) = 3*a + 26. Let b be s(-7). Suppose -b*m + 25 = 0, m - 131 = 4*f + 58. Calculate the common denominator of f and 43/15.
15
Let f = -4641 - -46411/10. What is the common denominator of -1 + 10/(-16)*26 and f?
20
Let r(b) = 67*b**2 + b - 2. What is the smallest common multiple of 78 and r(1)?
858
Suppose 3*i = -2*i. Suppose -f + 14 = -i*f. Calculate the least common multiple of f and 12.
84
Let d = -207 + 403. What is the least common multiple of 4 and d?
196
Suppose 3*k - 5*b - 32 = 0, -4 = 2*k - 0*k + 3*b. Suppose 0 = 7*n - 2*n - 50. Calculate the lowest common multiple of n and k.
20
Let d = 70 + -62. Suppose 12 = 2*c - d. Calculate the lowest common multiple of 20 and c.
20
Let m = -817691/54 + 15140. What is the common denominator of 53/102 and m?
918
Suppose 8*g + 262 = -1346. Let o = g - -477/2. Calculate the common denominator of -91/8 and o.
8
Let j be 10/(-30) + -2*(-118)/(-12). Calculate the common denominator of -101/2 and (-15)/j*(-194)/3.
2
Suppose 8*u + 2 = 7*u. Let k(w) = -6*w - 2. Suppose -24 = -2*q - 0*q. What is the smallest common multiple of k(u) and q?
60
Let d = 42 + -34. What is the lowest common multiple of 28 and (33 + -8)*d/5?
280
Find the common denominator of (-10 - -13)/(11/17) and -28/5.
55
Let r(i) = -i - 1. Let p be r(2). Let j(u) = -u**2 - 4*u - 4. Let g be j(p). Find the common denominator of (22*1/4)/g and -7/24.
24
Let p = -4743/4 + 1196. Let c be (-2)/(1*(-4)/16). What is the common denominator of p and ((-2)/c)/(4/552)?
4
Suppose 145 = 8*j - 3*j. Let d = -20 + 25. Calculate the common denominator of (-100)/(-48)*46/d and j.
6
Let f(a) = -a**3 - 46*a**2 - 50*a - 210. Calculate the smallest common multiple of f(-45) and 471.
2355
Suppose 11*b - 295 - 35 = 0. Suppose 0 = f + 3*f - 60. Calculate the least common multiple of b and f.
30
Suppose 1 - 11 = 3*t + 5*p, t - 5*p = 10. Suppose -l = -t*l - 28. What is the lowest common multiple of l and 20?
140
Suppose 0 = x + 5*m - 2, 3*x - 4*m + m = 78. What is the common denominator of -3*x*1/(-21) and 10/8*((-1)/2 - 2)?
56
Suppose -z - 9 = -2*g, -3*z + 23 = 4*g - 0*z. Suppose -j + 6*j - 20 = 0, j = -g*r + 194. What is the least common multiple of r and 7?
266
Suppose -8*q - 11 + 51 = 0. What is the least common multiple of q and 14?
70
Suppose 7*t - 180 = t. Calculate the lowest common multiple of 60 and t.
60
Let o = -1332 - -13309/10. Let n = -26/53 + 7985/15953. Let v = n + -3928/1505. Calculate the common denominator of v and o.
10
Let l be (-2 + 2)/((4/1)/(-4)). Let q(g) = -g**3 - g**2 - 4*g + 14. What is the smallest common multiple of q(l) and 22?
154
Let x = 1/244375 + 77466812/15395625. Let m = 80/9 - x. Find the common denominator of ((-9)/(-54))/(2/(-206)) and m.
42
Let g = 36 + -16. Suppose 2*u + 1 = -5, 0 = -3*z - 5*u - 21. What is the least common multiple of z/(-8) - (-75)/g and 1?
4
Suppose -2*m + 5*u + 32 = 0, 3 = -2*m + u + 35. What is the smallest common multiple of m and 23 - (1 - -1 - 12/(-4))?
144
Let o(a) = a**2 - a - 9. Let z be o(-4). Let y(x) be the second derivative of -x**3/6 + 15*x**2/2 + 7*x. Calculate the smallest common multiple of y(z) and 10.
20
Suppose 0 = -0*s + 5*s + 110. Suppose 8 = 4*j - 0, 4*j = -2*g - 1152. Let p = g + 2305/4. What is the common denominator of p and s?
4
Suppose -4*v - v + t + 60 = 0, -5*v = -4*t - 60. Calculate the lowest common multiple of v and 18.
36
Let x = -349/18 + -100/9. Calculate the common denominator of x and 1/(8/(-59))*(-56)/(-98).
14
Let i = 647 - 1347. Let b = 115 + -107. What is the common denominator of 3 - (i/b)/7 and 11/2?
2
Let w = -105611/34260 - 2/2855. Calculate the common denominator of 0 + ((-146)/(-36))/(-1) and w.
36
Let q(o) = o**3 + 7*o**2 + 6*o - 1. Let r be q(-6). Let l = 9 + r. Find the common denominator of (2/(-56))/(l/(-400)) and 79/18.
126
Let v = 27 + -11. What is the lowest common multiple of 10 and (0 - (-8)/(-6))/(v/(-240))?
20
Let r be 3/4 + 1390/(-1864). Let z = r + -15151/1398. Calculate the common denominator of z and -83/6.
6
