6.
5478
Let i = 51 + 27. Let f = 2181 - 13045/6. Calculate the common denominator of f and (i/(-45))/(8/(-18)).
30
Suppose 0 = -4*b - g + 546, -5*b + 134 + 536 = -5*g. Let n be (458/10)/((-1)/3). Let y = b + n. Calculate the common denominator of y and -17/2.
10
Let q = -568175/1962038 + -1/115414. Let j = 26509/5304 + q. Let z = -7273/1170 + -4/65. Calculate the common denominator of z and j.
72
Let n be 124/(-7)*(-840)/48. Let a = 373 - n. Calculate the smallest common multiple of a and 28.
252
Suppose 4*f - 2*j + 236 = 0, 3*f - 33*j = -34*j - 172. Suppose -3*o = -2*o - 30. Calculate the common denominator of (f/(-14))/(o/(-35)) and -34/33.
66
Let o = -13091527/12558 - -23982/23. Calculate the common denominator of o and -24/49.
3822
Let z(m) = 10*m**3 - 241*m**2 + 29*m + 102. Calculate the smallest common multiple of z(24) and 111.
222
Let o(b) = -8*b**3 - 2*b**2 + 3*b - 4. Let t be o(3). Let x = -185 - t. What is the lowest common multiple of 3 and x?
132
Let x(d) = -2*d**3 + 113*d**2 - 55*d + 70. What is the smallest common multiple of x(56) and 63?
126
Let u(s) = 2*s**2 + 65*s + 92. Let h be u(-28). Find the common denominator of h/(-18) - (-44)/(-198) and 19/9.
9
Calculate the common denominator of 237/790*((-18813)/(-18981) - 1) and 59/21.
73815
Suppose 5*p - 10 = -0. Let x(z) be the third derivative of z**5/30 - 29*z**4/24 - 13*z**3/6 - 2*z**2 - 19. What is the lowest common multiple of x(15) and p?
2
Let i(u) = -47*u + 354. What is the least common multiple of i(7) and 555?
2775
Let w be (-1479)/150 + 50/10. Let o = -9/2 - w. Let d = -2 + -45. What is the common denominator of d and o?
25
Suppose 29 = 3*i - a, -2*a + 14 = 3*i - 18. Suppose 5*m = 2*g + 175, -2*g + 0*g = i. Let z = -26 + 53. Calculate the lowest common multiple of z and m.
297
Suppose 5*u = -s - 355, -u + 2*s - 82 = -0*u. Let d = 77 + u. Suppose -2*r + 3*l = -9, -d*l - 6 - 8 = -3*r. Calculate the smallest common multiple of 31 and r.
93
Let q = 396 - 316. Suppose 41*a - 45*a = -q. What is the lowest common multiple of a and 72?
360
Let v be ((-1)/30)/(56/4810). Let m = -1/84 + v. Find the common denominator of 2449/372 - 12/(-1 - -3) and m.
24
Suppose 2*m = o - 36 - 26, -5*o = 3*m - 284. Calculate the smallest common multiple of o and 16/(-9 + 9 - (-4)/2).
232
Let p(d) = -6*d**2 + 3*d - 2. Let q be (-2)/(-6*1 + 4). Let v be p(q). Calculate the common denominator of 93/8 and (v/(-20))/((-5)/(-162)).
40
Suppose 4*u = 2*p + 8, 5*p + 20 = -u - 3*u. Suppose -2*b = -u - 64. Suppose -24 = 29*a - b*a. Calculate the lowest common multiple of 52 and a.
104
Let o(y) = 2*y**3 - 38*y**2 - 48*y + 436. What is the lowest common multiple of o(21) and 894?
3576
Let s = 5033 - 5026. Calculate the least common multiple of 105 and s.
105
Let l = -6116287/88 + 69504. Find the common denominator of l and -123/220.
440
Let h = -51487/100620 + 472/645. Calculate the common denominator of h and -89/702.
1404
Let c = 58213 - 2445061/42. Calculate the common denominator of c and 598 - 594 - (-191)/(-42).
42
Let q(l) = l**3 + 34*l**2 + 142*l + 16. Calculate the least common multiple of q(-19) and 9.
8199
Let d = 3/10648 + -362257/798600. Let j = -6887794/165 - -41744. Find the common denominator of d and j.
825
Suppose -905*t = -912*t + 2044. Calculate the lowest common multiple of t and 12.
876
Suppose -12*a - 8*a = -5640. What is the lowest common multiple of 141 and a?
282
Let x = 109393/1340785 + 33/2047. Find the common denominator of 40/1179 and x.
5895
Let z = -451814 + 1110107080/2457. Calculate the common denominator of z and -38/297.
27027
Let r(n) = -n**3 - 12*n**2 - 14*n - 9. Suppose -5*q + 5 = 0, 0*h - q = h + 10. Calculate the lowest common multiple of r(h) and 48.
48
Let p = -106643/48 - -2222. Calculate the common denominator of p and -61/18.
144
Suppose -6*w + 20*w = 896. Calculate the smallest common multiple of w and 72.
576
Let q = 1953/10 - 849/5. Calculate the common denominator of -61/218 and q.
218
Let r(p) = p**2 + 43*p + 72. Suppose 0 = -3*k + 2*k + 2*d + 74, k - d = 70. What is the smallest common multiple of k and r(-42)?
330
Calculate the common denominator of -37/1287 and (-9265)/(-57915) + 6*11/(-363).
11583
Let q(s) = -160*s - 308. Let i be q(-2). Let j(d) = d + 4. Let x be j(0). Find the common denominator of -53/6 and (i/x)/12*(-33)/(-2).
24
Suppose 2*b = -3*a + 2616, 8*b - 4*a + 6533 = 13*b. Calculate the common denominator of -93/20 and b/(-4200) + 2/7.
40
Suppose 5*x - 2*o - 2*o + 22 = 0, 0 = 2*x - 5*o + 19. Calculate the smallest common multiple of (-240)/(-75) - (-2 + (-11)/(-5)) and -60*x*5/25.
24
Suppose -9*y - 441 = 12*y. What is the least common multiple of y/((45/4)/(-15)) and 40?
280
Suppose 3*g = -2*g + 3*y + 3309, 3*g + 2*y - 1974 = 0. Calculate the least common multiple of g and 1452.
7260
Let f = -105 - -585. What is the lowest common multiple of f and 40?
480
What is the least common multiple of 130/(-104)*-10*(-8 + 1414/175) and 500 + (-2 - -1) - 2?
497
Let t = 3629 - 6921. Let m = t - -59291/18. Find the common denominator of m and 37/16.
144
Suppose -5*i + 714 = 3*x, 3*i = -5*x - 0*i + 1206. What is the smallest common multiple of x and 246?
19926
Let b = 830615614619729/97065 + -25671939877/3. Let f be ((-1)/((-2)/1))/((-115040)/128). Let n = f + b. Find the common denominator of 67/6 and n.
54
Calculate the least common multiple of 196 and (-198)/27 + 7 + ((-507)/(-9))/1.
392
Let d(g) = -4*g**3 - 3*g**2 + g - 19. Let v be d(-3). Let a = v + -31. Calculate the least common multiple of 84 and a.
84
Suppose -43*n - 86*n + 190256 = 55*n. Calculate the least common multiple of 132 and n.
6204
What is the common denominator of -9/250 and -21*(-70)/56*4/(-50)?
250
Suppose 40 = 8*p + 12*p. Let u(h) = h**2 + 6*h + 9. What is the least common multiple of u(-4) and 12/(-5) + p - 8646/(-165)?
52
Suppose 5*u + 20 = 4*u - k, -2*k = -3*u - 50. Let c be 129876/u + ((-10)/4 - -1). Let f = -7241 - c. Calculate the common denominator of -57/4 and f.
12
Let k(s) = s**3 + 6*s**2 - 10*s - 9. Let l be k(-7). Let f = -32/1493 - -115729/35832. Find the common denominator of (20/63)/(2/l) and f.
168
Let o = -8104 + 13573. Calculate the smallest common multiple of 5 and o.
27345
Calculate the least common multiple of (-52)/(-18) + 52/468 and 507.
507
Suppose -149 = -12*f + 823. Calculate the lowest common multiple of f and 45.
405
Let f = 1499826 + -3487095523/2325. Find the common denominator of 87/40 and f.
18600
What is the common denominator of (2/9)/(-1) + (-78647)/(-4464) + -19 and -23/408?
816
Let k(q) = 22*q**2. Let n be k(-3). Let j = 218 - n. What is the smallest common multiple of 16 and j?
80
Let y = 823899/20 + -41201. Find the common denominator of y and (3/(-15))/((-6)/(-625)).
60
Let n be (-280)/(-21) + 6/9. Find the common denominator of -95/12 and (-7)/n + (-1146)/(-504).
84
Let r = 81 + -672. Calculate the common denominator of 38/27 and r*(-8)/(-792) + 6.
297
Calculate the common denominator of 35/(32 - 25) + 2/(-644)*1585 and -71/207.
2898
Let l = 243 - -2907. What is the smallest common multiple of 675 and l?
9450
Let y(x) = -2*x**2 + 6. Suppose 0 = -7*n + 5*n. Calculate the smallest common multiple of y(n) and 128.
384
Calculate the common denominator of (12/(-248))/((-2344)/464 - (-4 - 1)) and -53/217.
217
Let f = 1270 + -976. What is the smallest common multiple of 294 and f?
294
Suppose -88*z + 92*z - 32 = 5*s, z - 23 = 5*s. What is the smallest common multiple of 1534 and z?
4602
Let o = 5/1084 - -5799/5962. What is the common denominator of o and -45/176?
176
Let v(p) = -p**3 - 33*p**2 + 25*p - 284. What is the least common multiple of v(-34) and 860?
9460
Suppose 12672 = 101*v - 5*v. What is the lowest common multiple of v and 32?
1056
Suppose 3*m - 1775 = 2*c + 937, 2*m - 4*c - 1808 = 0. What is the smallest common multiple of m and 1130?
4520
Let o = -647 - -1295. Calculate the lowest common multiple of o and 432.
1296
Let x be 2/8 - 30679/(-24101). Let j = -8882 - -2780070/313. Let k = j + x. Find the common denominator of -11/24 and k.
168
Let d(s) = -85*s + 1936. What is the smallest common multiple of d(19) and 3?
321
Suppose -480 = -12*f + 8*f. Suppose -4*l - 2*u = f, -l + 2*u - 97 = 2*l. Let z = 47 + l. Calculate the least comm