. Calculate the common denominator of 39/10 and (-94)/18 + w - 2.
90
Calculate the common denominator of 127/168 and (30/(-9))/(256/(-120)).
336
Suppose 862 = -3*u - 293. Find the common denominator of -11/30 and u/75 + 5 - 706/(-120).
60
Let m = -256 + 261. Calculate the least common multiple of -3*(2 - 3) + 1 and m.
20
Suppose 2*j - 5*r - 39 = 0, 0 = -2*j - 0*j - 2*r + 18. Let o = -97/33 - -14/11. Find the common denominator of o and (-6)/j + (-3)/(-5).
30
Let w(g) = g**2 + 6*g + 6. Let t be w(-6). Suppose -10*d + 51 = -5*d + 2*y, d - 5*y = -t. Calculate the common denominator of 3 + -5*12/d and 38/7.
21
Suppose -2 = 3*w - w, 2*v - 5*w = 19. Suppose -4*u = -v*u + 6. What is the least common multiple of 8 and u?
8
Let x = -2 - -6. Suppose a = -0*b + b + 14, -x*a - b + 46 = 0. Suppose -t + 85 = 5*p + 4*t, -2*t - 2 = 0. What is the lowest common multiple of p and a?
36
Calculate the smallest common multiple of 91 and ((-23 - -2)*2)/(-1).
546
Let g be (2/(-6))/(2/(-102)). What is the common denominator of (-1410)/(-252) + 12/(576/40) and g/(1/(-2) + 0)?
7
Let b be (5 + 1)*(-26)/(-39). Suppose -5*z = 3*r + 10, -b*z - 5*r = -2*z - 15. Find the common denominator of z/15 + 849/252 and 101/8.
56
Let y = -2 + 1. What is the common denominator of 3 + (y - (-2)/44) and -37/14?
154
Let v = 14 - 14. Let t be ((-9)/(-108))/(v - 1). Let c = -4/3 - t. Calculate the common denominator of -19/6 and c.
12
Let f(c) = c**3 + 27*c**2 - 93*c - 85. Calculate the lowest common multiple of 165 and f(-30).
165
Suppose 4*n = 5*n + 23. Let o = -55 - n. Calculate the common denominator of -67/8 and (-158)/o - 0/(-1).
16
Suppose 0*y + 2*y - 180 = 0. Suppose -v - 2*x + 18 = 0, -3*x = 7*v - 2*v - y. Calculate the least common multiple of v and 8.
72
Let l be (3/(-5))/(5/(-2575)). What is the common denominator of (-15)/(-20)*l/27 and 1122/(-440) - 2*1?
60
Calculate the common denominator of 17/45 and 20/120*755/75.
90
What is the least common multiple of 60 and -11 - -28 - (2 - -1)*1?
420
Let g be 15/(-2)*(-1278790)/280. Let a = 34255 - g. Find the common denominator of 43/22 and a.
616
Suppose d = 5, -5*b + 4*d + 85 = -0*d. Let u = -19 + b. What is the lowest common multiple of 10 and u?
10
Suppose 9*t = 3*t - 6. Calculate the least common multiple of (-45)/t - (-8 + 6) and 5.
235
Let o(q) = -q - 9. Let i be o(-13). Suppose 2*h + 3*h + 31 = 3*u, -i*u + 43 = -5*h. Calculate the common denominator of 15/22 and (0 - -3) + (-166)/u.
66
Let c(y) = -2*y - 11. What is the smallest common multiple of ((-6)/(-12))/(1*(-1)/(-2)) and c(-9)?
7
Let x = -3603920710823/162726564 + 7/7748884. Let b = 68306/3 + x. Let q = b - 629. What is the common denominator of -89/4 and q?
28
What is the common denominator of (13/4)/13*13 and 13/498?
996
Let g(o) = 5*o**2 + o - 2. Let c be g(1). Suppose -c*w - w = 0. Calculate the common denominator of 3 + (-123)/12 + w and 149/36.
36
Suppose b = 23 + 64. Suppose -11*t + 1 + b = 0. Calculate the least common multiple of 28 and t.
56
Calculate the common denominator of ((-3)/(-351))/(6/(-342)) and -53/102.
1326
Let g(a) = -a**3 - 9*a**2 + 18*a + 38. Let s = 31 + -17. What is the smallest common multiple of g(-11) and s?
574
Let v = -296 - -176. Find the common denominator of 4 - -3*244/v and -27/10.
10
Suppose -8 = 8*g + 32. What is the common denominator of g/(-200)*-138*(-6)/27 and 59/6?
30
Let c be (-2)/(-1) + (-1690)/(-13). Calculate the common denominator of 6/(-72)*c/(-8) and -59/9.
72
Let a be 4 + -3 + (-120)/185. Let v = -153840045/26080708 - 6/176221. Let q = v - a. Find the common denominator of q and 59/8.
8
Let x = 9 + -1. Let f(d) = 2*d. Let c be f(x). What is the common denominator of ((-3)/c)/((-2)/12) and 89/40?
40
Suppose -4*w - m + 164 = -4*m, 20 = 5*m. What is the least common multiple of 2 + 12*(32/(-12) - -4) and ((-9)/(-3))/(6/w)?
198
Let d = 251 + -549/2. Let z be (4/6)/(44/(-31647)). Let i = 4851/10 + z. Calculate the common denominator of d and i.
10
Let d(s) be the second derivative of s**4/12 + 2*s**3/3 - 3*s**2 - 39*s. What is the lowest common multiple of d(3) and 55?
165
Suppose 0 = -4*m + 10*m - 162. Let o = m + -22. Suppose -s + 5*h = 2*s - 4, 0 = -o*h - 25. What is the common denominator of s and -85/14?
14
Suppose 0 = 5*u - u - 8. Let q(t) = -4*t**2 - 3*t - 3. Let o(w) = -w**2 - w - 1. Let p(d) = 7*o(d) - 2*q(d). Calculate the least common multiple of p(u) and 9.
9
Let q(g) = g**3 - 2*g**2 - 6*g - 1. Let v = 14 + -10. Let c = 10 - 4. Calculate the lowest common multiple of c and q(v).
42
Suppose 0 = -x + 5*r + 7, -4 + 5 = -x + r. Let b(a) = -2*a**3 - 2*a**2 - 2*a - 4. Let g = 2/109 - 5131/436. What is the common denominator of g and b(x)?
4
Let t be (-3)/9 + 520/(-6). Let w = -169 - t. Calculate the common denominator of 65/8 and (0 - w/40) + 1.
40
Let k be (-18)/(-2)*3/6*66. Calculate the common denominator of 14/6 + -2 - 44/k and 91/12.
108
Calculate the common denominator of 119/78 and 98/(-143)*(-27)/54.
858
Let j = 55 - 52. Suppose 5*d + 107 = 4*p, -3*p - j*d + 85 = -2*d. Calculate the smallest common multiple of p and 8.
56
Suppose 5*v + 7 - 2 = 0. Find the common denominator of (-62)/80*2 + v and 2*(-445)/180*-1.
180
Let l be 4/(-10) - 2/(-5). Suppose 3*u = -l*u + 12. Suppose 12*r + 59 = -11*r + 197. Calculate the least common multiple of r and u.
12
Let w = 2 - 0. Let c = 173 + -163. What is the lowest common multiple of c and 43/w + (-1)/(-2)?
110
Let p = 1837/6 - 304. Let n = -26639/7 + 3814. Find the common denominator of p and n.
42
Let b = 52 + -50. Suppose 0*j = 2*j - 8. Suppose 0 = b*o - j*x - 36, 4*x - 2*x - 102 = -5*o. Calculate the least common multiple of o and 22.
220
Let r = 1275/4 - 306. What is the common denominator of r and 27/28?
28
Let l = 180 - 54. What is the least common multiple of 2 and l?
126
Find the common denominator of 291/4*3/((-18)/4) and ((-185)/(-330))/(2/6).
22
Suppose b - 4*g - 84 = 0, -3*b + b - g + 168 = 0. What is the lowest common multiple of 154 and b?
924
Find the common denominator of 120/714*1*(-8)/15 and 49/15.
1785
Let l = -39073/11590 + 16/3477. What is the common denominator of l and 61/50?
150
Let v = 13 + -100. What is the common denominator of 83/22 and v/150*(-5)/2?
220
Suppose -53 = -7*j + 52. What is the lowest common multiple of 57 and j?
285
Let k be (0 + -4)/(3 + -2). Let b(n) = -n**3 - 6*n**2 - 4. Let j be b(k). What is the common denominator of -61/22 and (-213)/j - (0 - 2)?
132
Let f = 7 - 4. Let c be (10/f)/((-1)/(-15)). Suppose 0 = 3*u + 2*q - c, -5*u + 2*q = 5*q - 85. What is the lowest common multiple of u and 8?
40
Suppose -2840 = -4*u - 4*v, 1422 = 2*u - 15*v + 18*v. What is the smallest common multiple of 4 and u?
708
Let j(k) = -765*k**2 + k - 4. Let q be j(2). Let l = -42893/14 - q. Let f = 116/27 - 1387/216. Calculate the common denominator of f and l.
56
Suppose -5*b - 2*t + 4 + 13 = 0, -3*t = -b. Let u(m) = 2*m**3 - 4*m**2. Calculate the least common multiple of 6 and u(b).
18
Suppose -214 = 4*s + 2*m, -66 = 2*s - s + 3*m. Let z = -23 - s. Calculate the smallest common multiple of z and 3*(-1 + (-19)/(-3)).
112
Let a(v) = -2 + 9 - v - 2 + 6. Let w be a(-5). Find the common denominator of 111/10 and 4/w - (5 - -1).
20
Let z = 10216 + -61447/6. Calculate the common denominator of z and 145/66.
66
Let q = 10 - 4. Suppose 2*f + q = 2*r - 2*f, -f = r - 3. Suppose r*z - 40 = -z. Calculate the smallest common multiple of 20 and z.
20
Let l = -18 - -21. Suppose l*s + 6 = s - f, 4*s + 3*f + 8 = 0. What is the common denominator of (6/64)/(s/(-580)) and 13/10?
40
Let n be 1/(-2) + 9545/6. Suppose -2*b = -165 + 3299. Let g = n + b. What is the common denominator of g and -61/10?
30
Let m = 32 - 25. Suppose -8 - 7 = 2*a - u, -u = 4*a + 15. What is the lowest common multiple of m + 1 + (a - -3) and 6?
6
Suppose -35 - 9 = -2*y. Suppose -r + 1 + 17 = 0. Calculate the lowest common multiple of r and y.
198
Suppose 0 = 3*z - u + 2*u + 7, 4*z = 3*u + 8. Suppose 15 = -x + 5*v, -10*x + 3*v = -11*x + 25. Calculate the smallest common multiple of x and 2 - 0*(2 + z).
10
Calculate the smallest common multiple of ((-948)/(-9))/4 + (-16)/(-24) and 42.
378
Let f be 16 + -2 + -2 + 6. Let a be ((-6)/(-11))/((-116)/(-638)). Suppose -5*u + f = -a*u. Calculate the lea