3
Suppose g - 55170 = -2*a, -3*g = -a - 4568 + 32167. Calculate the least common multiple of 119 and (-2)/3 - a/(-147).
1309
Let v be 108765/15832 + 42/14. Let g = v + 10/1979. Find the common denominator of g and 9/56.
56
Let g be ((-7)/2)/1*4. Find the common denominator of ((-36)/(-660))/(((-48)/(-40))/(-6)) and g*8/(-22) - 1.
11
Let m = 102 - 70. What is the least common multiple of m and (-2)/(-1)*80/(-140)*(-11 - 3)?
32
Let g = -18 - -12. Find the common denominator of (-2)/2 - ((-195)/50 - 7) and 4/g*(-5)/10.
30
Let x = 336701/161628 + 2/13469. Find the common denominator of x and -59/231.
924
Let k(a) = -a**3 - 5*a**2 + 3*a + 37. Let i be k(7). Find the common denominator of 79/46 and (-150)/(-1000)*i/12.
184
Let u = -29630358293/2565 - -11551797. Let c be (-33)/(-8) + -4 - (-2 - 12282/(-4560)). Let k = u - c. What is the common denominator of k and -23/3?
27
What is the least common multiple of 266 and ((-32)/(-24))/(-2)*(3 + (-115 - 2))?
532
Suppose 96 = 8*u - 0*u. Find the common denominator of ((-3)/66)/(53/(-17) - -3) and ((-43)/(-8))/(42/u).
308
What is the lowest common multiple of (5/5)/((-3)/8)*(-15)/10 and 2474?
4948
Suppose 9*m - 14*m - 2*g = -86, -3*g = -9. Suppose -3*l = -5*w + 2*w - 12, w - 36 = -4*l. What is the least common multiple of m and (-2)/l - (-890)/40?
176
Suppose -720 = 17*c - 2624. What is the smallest common multiple of 140 and c?
560
Suppose 3*a = 3*i + a - 15, 2*i = a + 10. Suppose 45*d + 8 = 47*d - 2*v, 50 = 5*d + i*v. Calculate the least common multiple of d and 347.
2429
Suppose 687*d = 677*d + 40. Calculate the smallest common multiple of d/(-10) - 3959/(-185) and 5.
105
Let d(u) = u**3 + 9*u**2 + 2*u - 5. Let f(g) = 91 + 6*g**3 - 5*g**3 - 61 - 22*g**2 + 20*g. What is the lowest common multiple of d(-8) and f(21)?
387
Let p = 17/26 - -161/52. What is the common denominator of p and 302/(-188) + 3 + (-3)/3?
188
Let a = 6729794/257 + -26186. Let f = -9229/8995 + a. Find the common denominator of 109/50 and f.
350
Let t = -162917237707/12612 + 12917637. What is the common denominator of 27/4 and t?
12612
Let f be (-10)/(-2) + (-457515)/(-243). Let v = f - 1884. Find the common denominator of v and -49.
9
Let y = -422069/82584 + -3/9176. Suppose 5*i = -3*p + 160, -p = 5*i - 102 - 48. Calculate the common denominator of y and i.
9
What is the common denominator of 67/15 and 7/(-399)*(-1001)/(-275)?
1425
Let q(b) = -b**3 + 17*b**2 - 17*b + 28. Suppose 4*r - 35 = 29. What is the lowest common multiple of q(r) and 42?
84
Suppose 785*f + 361 - 2063 = 6933. Let i = -3 - -26. Suppose -a + i = -8. What is the least common multiple of f and a?
341
Let i = -24553 + 1325981/54. Let u = 11916 + -965170/81. Find the common denominator of i and u.
162
Let i = 1/25577833 - 4337514497989/409245328. Let h = 10603 + i. Find the common denominator of h and 7/6.
48
Let m(b) = -b**3 + 26*b**2 + 56*b + 5. Let z be m(28). What is the smallest common multiple of (-45)/z + 4 + 25 and 6?
60
Suppose 29*q - 39974 = -48*q + 50116. What is the smallest common multiple of 4680 and q?
4680
Let x = 107 - 104. Suppose 3*i + 12 = -x. Let d(u) = -u**3 - 3*u**2 + 5*u + 5. Calculate the lowest common multiple of 30 and d(i).
30
What is the lowest common multiple of 47 and 20 - -5*(44/(-32) - (-3)/8)?
705
Let s(x) = 11*x**3 + 7*x. Let c(k) = -k**3 - k. Let w(d) = 3*c(d) + s(d). Calculate the lowest common multiple of 28 and w(2).
504
Let q = -1471/100872 + -4/467. Calculate the common denominator of q and -22/621.
4968
Let g(y) = -y**3 - 15*y**2 - 28*y + 13. Let z be g(-25). Let w = z - 41899/6. Find the common denominator of w and (2/30)/((-4)/(-55)).
12
Let l = -5835 + 4071. Calculate the common denominator of 4/14 - (-4816)/l and 145/6.
18
Suppose 0 = 3*h - 116*v + 112*v - 284, 3*h + 5*v = 266. Calculate the smallest common multiple of h and 27.
2484
Let f = -24629 - -344887/14. What is the common denominator of (-4)/(-10) - (-686)/160 and f?
112
Calculate the smallest common multiple of ((-1)/3)/(8833/12474 + 10/(-14)) and 186.
1674
Let n = 36947/2670 + -2/445. Find the common denominator of n and (-336)/225 - ((-76)/(-228))/((-5)/6).
150
Suppose -2*z + 60 = z. Let o be (1 - (-3)/2)*352/(-440). Let c = z - o. Calculate the smallest common multiple of 12 and c.
132
Let d = 4759751/5530 - 8607/10. Let s = d + -6028/1659. What is the common denominator of s and -47/70?
210
Let z = 11342 + -476419/42. What is the common denominator of ((40/84)/((-85)/34*1))/(22/(-6)) and z?
462
Let i = 239 + -1229/5. Let t = -10080/5905511 - -2/3187. Let v = -1849/3706 + t. Calculate the common denominator of i and v.
10
Suppose 0 = 2*a - t - 28, 0*a - 2*t = -a + 20. Calculate the lowest common multiple of -2*45/a*-2 and 18.
90
Let v be 26409/4*98/441. Let o = v + -1459. Find the common denominator of o and 82/15.
30
Let w(a) be the third derivative of a**6/120 + a**5/60 - a**4/24 + a**3 - 3*a**2. What is the smallest common multiple of w(0) and 2*2 - (-2 - (-4 - -1))?
6
Find the common denominator of -65/166 and (-31)/(-6)*81/90.
1660
Suppose 91*w - 16314 - 8256 = 0. Calculate the least common multiple of 195 and w.
3510
Suppose -29*y + 31*y + 448 = 0. Let m = y - -649/3. What is the common denominator of -77/12 and m?
12
Suppose 3*a + b + 61 = 0, -3*b - 2 - 1 = 0. Suppose 5*f - 14 = 1. Calculate the smallest common multiple of (-1)/(-1) + (a - -22) and f.
3
Suppose -3*j - 813 = -2*l + 502, -3256 = -5*l - 3*j. Calculate the lowest common multiple of l and 9.
5877
Let q = -4696 - -4701. What is the lowest common multiple of 985 and q?
985
Calculate the least common multiple of ((-280)/10)/(23/(4347/(-14))) and 6.
378
Let h(w) = -4*w**2 - 3*w + 17. Calculate the lowest common multiple of 35 and h(-2).
35
Let k(h) = 21*h**2 + 57*h - 26. What is the smallest common multiple of k(-4) and 2?
82
Let j(h) = 14*h**2 + 3*h + 13. Let s be j(7). Find the common denominator of -21/25 and (-974)/s + (-2)/9.
200
Let d = -1391399/122 - -11405. Calculate the common denominator of d and -87/8.
488
Let i = -2257 + 5951. Calculate the smallest common multiple of i and 10.
18470
Let u = 110 - -54. Suppose 2*g = u - 92. What is the least common multiple of g and 12?
36
Suppose -6*m = 994 - 1834. What is the lowest common multiple of m and 217?
4340
Let x = 6464 - 6458. Let l(n) = 7*n - 16. Calculate the lowest common multiple of x and l(8).
120
Let z = -1/247038128 + 1670842379771/257660767504. Let g = z + -168/149. Calculate the common denominator of g and 89/12.
84
Let r be ((-1)/(2/12))/1. What is the common denominator of ((-3315)/(-26))/(-1 - 11) and (-339)/(-9)*r/(-20)?
40
Let d = -62/229 + -6527/5496. Calculate the common denominator of d and -151/300.
600
What is the common denominator of -105/928 and -19 + (-25784)/(-3712) + 12?
928
Suppose 12*f - 2100 = 5*f. Suppose 7*w - 3*w - 240 = r, 5*w + r = f. What is the smallest common multiple of (-15)/5 - (-3 - w) and 12?
60
Let a be 20/150 + 141394/(-30). Let u = 103647/22 + a. Calculate the common denominator of 1/(-4)*(-490)/(-25) and u.
110
Suppose 7*i - 290 = 193. What is the common denominator of 73/2 and (-40)/48*i/6?
12
Let r(a) = a**3 - 8*a**2 + 4*a - 10. Let i be r(8). Let n be (-8)/(-12)*-3 + i. Calculate the least common multiple of n/(-6)*6/(-4) and 5.
5
Let w(x) = 19*x**2 - 5*x + 4. Let y be w(1). Suppose -12 = 2*h - 6*h. What is the common denominator of (-199)/66 - (66/y - h) and -113/54?
594
Find the common denominator of 10 - ((-9)/(-72) - -13) and 73/2.
8
Let i be (2 - 7) + 3 + -7. Let x = -47063/4998 + -1/3332. Find the common denominator of x and ((-26)/(-24))/(i/(-33)).
36
Suppose 110 = 17*q - 43. What is the least common multiple of 5 and q?
45
Suppose -3*j = -2*p - 30, -37 = -5*j - 7*p + 6*p. Let z(v) be the first derivative of 5*v**2/2 - 33*v + 5. What is the lowest common multiple of z(j) and 11?
77
Let z(f) = 16*f**2 + 14*f**2 - 1 - 10*f**2 - f**2. Let g(l) = 3*l + 20. What is the least common multiple of z(1) and g(-4)?
72
Calculate the smallest common multiple of (((-8)/(-3))/(-1) + 0)*1323/(-98) and 48.
144
Let h = 19618 + -882764/45. Calculate the common denominator of 97/11430 and h.
11430
Let x = -101406 + 101450. Suppose -30 = -3*u + 300. What is the smallest common multiple of x and u?
220