(-6)/39 + (-195937)/(-62790)?
180
Let h = -1586 + 1394. Suppose 0 = -5*q + 4*a + 37, 2*q + 5*a = -3*q + 55. Calculate the common denominator of 4 - -1*h/q and -71/9.
9
Calculate the least common multiple of 30 and ((-40)/(-12))/(-4*(-11)/9306).
1410
Let p(v) = -2*v**3 + 44*v**2 + 95*v + 72. What is the lowest common multiple of 1452 and p(24)?
5808
Calculate the common denominator of 120/(-144)*30/(-183) and -11/24.
1464
Let g(u) = 2*u**2 + 14*u + 1. Let j = 53 + -52. Let s be -9*(j - 0) - (3 + -5). Calculate the smallest common multiple of g(s) and 5.
5
Let l be ((-8)/(-140))/((1398/30)/1). Let m = -10246/4893 - l. Calculate the common denominator of -91/48 and m.
336
Suppose -43*v = -47*v - 16, -3*u - 4*v + 3899 = 0. What is the common denominator of 11194/u - (-12)/(-15) and 73/144?
144
Suppose -14*o + 27*o - 234 = 0. Let z(m) be the third derivative of -m**5/60 - m**4/6 + m**3/6 - m**2. Calculate the smallest common multiple of z(-3) and o.
36
Let c(n) = n + n - 16 - n - 2*n. Let p be c(6). What is the common denominator of 61/4 and (p/165)/((-3)/160)?
36
Let q(m) = 34*m - 576. Calculate the least common multiple of 40 and q(20).
520
What is the least common multiple of (-6)/(-120)*8 + (-11784)/(-15) and 3?
786
Suppose -4*m - 6*m = 20. Suppose 0 = -0*g + 4*g - 36. What is the smallest common multiple of g and (10/4)/((-1)/m)?
45
Suppose 0 = -8*s + 232 + 256. Calculate the common denominator of (-3)/(-336)*7*s/(-4) and -125/72.
576
Suppose 0 = 4*c - 40*z + 38*z - 1412, -2*c + 5*z + 690 = 0. What is the smallest common multiple of c and 426?
2130
Suppose 15*g = 19*g + 2*u - 66, -69 = -4*g - u. Let n(d) = d**2 - 16*d - 114. What is the lowest common multiple of g and n(-6)?
18
Let g(b) = -b**3 - 19*b**2 + 7*b - 116. Calculate the least common multiple of g(-20) and 72.
144
Let j be 2 + (-2 + 3)*288 + -5. Let c = j - 271. Calculate the lowest common multiple of c and 38.
266
Let m(y) = 3*y**3 - 24*y**2 + 10*y - 20. Let p be m(8). Calculate the common denominator of 17/75 and (-8 + 482/p)*149.
150
Let i(r) = r. Let p be i(-4). Calculate the smallest common multiple of 6/p*(-32)/6 and ((-1092)/1456)/((-1)/12).
72
Let d be (-3)/9 - (8 + 13362/36). Let y = d - -364. What is the common denominator of y and -67/45?
90
What is the least common multiple of (25/(-20))/(235/(-14664)) and 3081?
6162
Let j be (-305502)/62744*14/1365. Let r = j - -17/2015. What is the common denominator of r and -18/7?
3542
What is the common denominator of 107/410 and (-2733)/(-4920) - (120/50 - 2)?
1640
What is the common denominator of (-90)/(-18600)*(-2068)/126 - 2/(-10) and 56/9?
3906
Let s(k) = 2*k - 216. What is the smallest common multiple of 4 and s(110)?
4
Let d(p) be the second derivative of p**3/2 - 10*p**2 + 82*p. Suppose 0 = -5*x + 13 + 7. What is the least common multiple of d(12) and x?
16
Suppose -5*i = 105 - 405. Find the common denominator of (295/i)/(-1) + (-2)/(-3) and -67/20.
20
Find the common denominator of -25/15574 and (-41)/9 + (1/(-6))/((-175)/(-1575)).
140166
Let t = 3163975 + -9953865257/3146. Calculate the common denominator of 83/726 and t.
9438
Suppose 3*r - 23 = -4*z - 0*z, -5*r = -5*z - 15. Suppose -3*a - z*u = -13, -10 = -2*a - 5*u + 6. Calculate the smallest common multiple of 12 and a + 15/12*4.
24
Let s(x) = 16*x**2 - 10*x - 10. Let n be s(-1). Suppose -n*c + 380 = 3*c. What is the least common multiple of c and 60?
60
Suppose -4*j + 4 = 5*h - 29, -4*h + j = -18. What is the least common multiple of (-78)/(-117)*(23 - 2) - 9 and h?
5
Let j(g) = 5*g + 16. Let y be j(-3). What is the lowest common multiple of (y/(-6))/((-6)/36) and 9?
9
Let l(w) = -21*w - 9. Let f(t) = t**3 - 6*t**2 + 7*t - 11. Let a be f(5). Calculate the smallest common multiple of 2 and l(a).
12
Suppose z - 6*t = -t - 7, -z + 9 = 3*t. Suppose -352*l - j = -357*l + 47, -4*l + j = -39. Calculate the least common multiple of l and z.
24
Suppose -49*k - 365 = -44*k. Suppose -4*p - 460 = -8*p. Let m = p + k. Calculate the least common multiple of m and 10.
210
Let b = 1359/1480 - 304/185. What is the common denominator of b and -81/544?
2720
Suppose -4*s + 2*u - 2 = 0, -3*u - 2*u + 5 = 4*s. Find the common denominator of 89/40 and 6/160 + s/31.
80
Suppose 109743 = 8*y - 5*y. Let m = -4243465/116 + y. Find the common denominator of m and 65/14.
812
Let i = -3528 + 3657. What is the lowest common multiple of i and 989?
2967
Let z(t) = -t**3 - 3*t**2 - 4*t - 2. Let j = 9 + -11. What is the lowest common multiple of (1 + 1 + 10)*2 and z(j)?
24
Let c(m) = 37*m**2 - 48*m + 66. Calculate the lowest common multiple of c(2) and 6.
354
Suppose 0 = y - 2*l - 32, -4*l = 4*y - 95 - 33. Let j = -6 + y. Calculate the lowest common multiple of j and 8/6*(8 - (8 + -6)).
104
Suppose -2*c + 109 = -3*c + 2*i, 115 = -c - 4*i. Let s = c - -112. Find the common denominator of -25/6 and s/((-96)/(-526)) + (-3)/18.
48
Let x = 69 - 55. Let a(r) = r**3 - 14*r**2 + 4. Let k be a(x). Calculate the least common multiple of ((-64)/10)/(k - 22/5) and 40.
80
Suppose k + 109 = v, 7*k - 12*k = 4*v + 509. Let w = 121 + k. What is the smallest common multiple of w and 11?
176
Let x be 5 + (-70)/8 + (-12)/(-16). Let o = 20398/5515 - -3/2206. Calculate the common denominator of o and (70/80)/(x - 519/(-156)).
170
Let v = 252563/42 - 6014. Let l = 3/19463 + 2004437/1634892. What is the common denominator of l and v?
84
Calculate the common denominator of -101/294 and (-121920)/17640 + (-1 - -8).
294
Suppose 5*s - 60 = 2*s. Suppose 4*u = -5*b + 128, 705*b - 708*b - 3*u + 75 = 0. Calculate the lowest common multiple of s and b.
140
Suppose i + 7 - 2 = 0, -5*g + 2*i + 130 = 0. Let v = -4 + g. Let h(o) = o**2 - 28*o - 79. Calculate the lowest common multiple of v and h(31).
140
Let p = -43 + 37. Let n be ((-2)/8*p)/((-1)/10). Calculate the common denominator of (1/52*-3)/(n/(-290)) and -55/14.
182
Suppose 4*d - 2*r + 36 = 0, 0 = 22*d - 18*d - 5*r + 48. What is the common denominator of 1/88 and d + (36765/264)/19?
88
Let x = 129 - 126. Suppose 2*o + 6*q - 10*q = 12, x*o - 5*q - 22 = 0. Suppose -o*v + 8*v = -72. Calculate the lowest common multiple of 12 and v.
12
Let r(n) = 20*n**2 - 526*n + 1044. What is the lowest common multiple of r(2) and 162?
648
Let w = -38 + 70. Suppose 4*q - w = 32. Let k = 4756 - 4712. Calculate the smallest common multiple of k and q.
176
Let p = 32537 + -1366627/42. What is the common denominator of (-12)/(-18) - 115/(-54) and p?
378
Let a = -6 - -4. What is the least common multiple of 23 - ((-5)/(-5)*-6 + 11) and (-63)/a + 3/(-2)?
90
Suppose -3*r + 221 = -5*z, -252 = -10*r + 6*r - 4*z. Calculate the smallest common multiple of r and 107.
7169
What is the common denominator of (-245)/10 + 20 + (-34)/16 and -47/2048?
2048
Let c = -80121197 + 7211039069/90. Let n = 1460 - c. Find the common denominator of n and -23/24.
360
What is the common denominator of ((-2000)/144 - -5)*(-2)/(-5) and -40/9?
9
Let a = -2/184797 + 3203374/20882061. Calculate the common denominator of 103/678 and a.
678
Let v(i) = -698*i - 15914. Let j(x) = x**3 + 8*x**2 - 2*x. What is the least common multiple of j(-6) and v(-23)?
420
Suppose -105*v - 12 = -109*v, 276 = 3*c - 4*v. Calculate the smallest common multiple of c and 2376.
9504
Let n = 13319860 + -29103896251/2185. Let h = -3/12134 + -315139/1395410. Let o = n + h. Calculate the common denominator of -28/3 and o.
57
Let w = -129779/181 + 717. Let b = -891/1267 + w. Calculate the common denominator of b and ((-4)/5)/((-2)/4)*(-7315)/5586.
21
Let k = -434 - -648. Let p(t) = 715*t + 2147. Calculate the smallest common multiple of k and p(-3).
214
Suppose 2*d = 32*d - 30. Let w(j) = 355*j**2 + 7*j - 6. Calculate the lowest common multiple of 14 and w(d).
2492
Let n be (5/((-10)/(-652161)))/(26 + -2). Let j = 13582 - n. Let a = 2/12437 + 335755/273614. Calculate the common denominator of a and j.
176
Suppose -7*y + 4*w = -4*y - 167, 4*y = 5*w + 224. Suppose 3*k = -0*p - p + 6, -2*k = 2*p - 4. What is the smallest common multiple of k and y?
122
Let u = 443633393/33495870 - -47/115503. Let y = 39/29 - u. Let d = -12/377 - 1397/754. Calculate the common denominator of d and y.
130
Suppose 3596 - 12611 = -3*y - 3*w, -6009 = -2*y - w. Let g = y + -90053/30. Cal