et s = -1063/31 - -578613/16864. Calculate the common denominator of s and 61/40.
2720
What is the common denominator of -115/18 and (3/4)/(2709/4074)?
774
What is the lowest common multiple of 52 and ((-370)/(-34) - 24/(-204)) + -1?
260
Let p = 130 - 121. What is the lowest common multiple of 25 and p?
225
Suppose -757*o + 758*o - 207 = 0. Calculate the smallest common multiple of o and 92.
828
Suppose -3*w = -3*u + 30, 4*w + 8 + 67 = -3*u. Find the common denominator of -27/16 and (95/w)/(80/(-12) + 0).
80
Let z(s) be the second derivative of s**4/12 - 2*s**3 + 7*s**2/2 + 6*s. Suppose 2 + 30 = 4*g. Calculate the least common multiple of g and z(12).
56
Let d be ((-2)/2)/(-2 + (-34)/(-18)). Suppose -d*u = -12*u + 84. What is the lowest common multiple of u and 5?
140
What is the common denominator of 17/8 and 1338/(-264) + 6 + -1?
88
Let k(c) = -c**2 + 8*c. Suppose z + 3 = 9. Calculate the lowest common multiple of k(z) and 24/10*15/2.
36
Suppose 41 = k - 2*i, 2*k + 10*i - 9*i = 67. What is the smallest common multiple of 15 and k?
105
Let o = -2/7760545 - -132138799737/85365995. Let a = o - 1549. Find the common denominator of 13 and a.
11
What is the smallest common multiple of 1/(10/(-8))*-10 and (-2)/(84/(-206)) - 140/(-1470)?
40
Let a = 185/33 - -27/22. Let o(w) = w**2 + 13*w + 20. Let r be o(-11). Calculate the common denominator of a and (-7)/63*((-41)/r)/1.
18
Calculate the common denominator of (-147)/56*(-1)/(-9)*3 and -19/108.
216
Let j(q) = -q**2 - 4*q - 5. Let s be j(-5). Let a be (-128)/60*(2 - s). Let d = a + 26. What is the common denominator of 5/7 and d?
35
Let v(i) = i + 70. Let n be v(-16). Suppose 84 - n = 3*m. What is the least common multiple of m and 27?
270
Suppose -w - 66 = -5*o - 286, -4*o = -4*w + 928. Let a = -629/3 + w. What is the common denominator of a and 11/4?
12
Let s = -1315 - -1766. What is the smallest common multiple of s and 164?
1804
Let r(k) = k**3 + 9*k**2 + 16*k + 44. Let g be r(-18). Let l = 104264/33 + g. Calculate the common denominator of l and 38/3.
33
Let n(k) = 2*k**2 + 6*k. Let z = -149 + -79. Let c = z + 332. Calculate the lowest common multiple of c and n(-5).
520
Let o = 6863/510 + -59/51. Let m = 535/68 - -236/17. Calculate the common denominator of o and m.
20
Suppose -b + 5*b - 12 = 0. Suppose -5*z - 15 = 5*d, -z = 2*d + 3*z + 14. What is the least common multiple of d and b?
3
Let n = 57031/18 - 3173. Let p = 1889/10551384 - -1/6856. Let z = p - 103123/30780. Calculate the common denominator of n and z.
180
Suppose 17 = -3*p + 59. Let z(t) = t - 10. Let l be z(10). Suppose v = -l*u - u + 17, 14 = 2*v - 2*u. Calculate the smallest common multiple of p and v.
84
Let i = 28379/11 + -999513/385. Let d = -2293/10 + 437/2. Let c = i - d. What is the common denominator of 31/3 and c?
21
Let x = -18/151 - -13849/906. What is the common denominator of x and -2/15?
30
Find the common denominator of 39/38 and ((-1495)/(-207))/((-1)/3).
114
Let y = -66 - 9. Find the common denominator of 38/33 and (5/y*-8)/(36/(-190)).
297
What is the common denominator of 2571/756 + (-2)/((-2)/(-3)) and 37/308?
2772
Calculate the common denominator of (2/60)/(((-24)/(-460))/(-3)) and 79/84.
84
Let y = -156/89 + 7927/2136. What is the common denominator of y and 77/20?
120
Suppose 5*s - 3*x - 461 = 92, 3*s + 5*x - 325 = 0. Find the common denominator of (315/s + -3)*-3 and -101/4.
44
Let r = 3923/60 + -364/5. Let q = -20 - -19. Calculate the common denominator of q - (57/(-6) + 1) and r.
12
Let o = 1844716415/42 + -43919066. Let n = -5519/2 + o. Let p = n - 517/84. What is the common denominator of p and -79/16?
16
Let z(o) = -o**3 - 3*o**2 + o - 4. Calculate the least common multiple of z(-4) and 11.
88
Let z be (108/(-30) - -8) + 4/(-10). Find the common denominator of (522/(-21))/(z/(-7)) and 53/16.
16
Calculate the common denominator of -23/290 and 4 - (-107)/(-16) - (-5 - 0).
2320
Let c = 15173/2320 - 309/58. What is the common denominator of c and -3/40?
80
Suppose -2*u - 2 = 0, 7*z + 4*u - 5636 = 3*z. Suppose -z = 3*l + 11658. Let m = l - -191595/44. What is the common denominator of -35/2 and m?
44
Let t = 14 + -12. Suppose -3*j = -d + 21, -6*d + t*d + 149 = j. What is the lowest common multiple of d and 12?
36
Suppose 1 = 2*i + 5, 18 = 2*d - 5*i. Suppose d*a - 8552 = 24592. Let q = -149185/18 + a. What is the common denominator of 137/12 and q?
36
Let y be ((-2)/(-12))/((-12)/253724584). Let m = -3516483 - y. Let x = -7462 + m. Find the common denominator of x and -43.
9
Let p(b) = 2*b**2 + 4*b**2 - b**2. Let m be p(-1). Suppose 4*z - 16 - 40 = -4*u, m*u + 2 = 3*z. Calculate the lowest common multiple of z and 4.
36
Suppose 0 = -3*l - 12 + 6. Let d be l - (-2031)/(-1358)*2. Let t = 13/97 + d. What is the common denominator of t and -81/8?
56
Let l(k) = -k**3 + 6*k**2 - 7*k - 8. Let t be l(4). Calculate the common denominator of t/102*(2 + (-350)/(-8)) and 67/20.
340
Suppose -8*z + 3*z = -c + 142, 2*z + 4*c + 48 = 0. Let y = z - -38. Calculate the least common multiple of y and 12.
60
Suppose -165 = -47*w + 42*w. Calculate the lowest common multiple of w and 3.
33
Suppose 4 + 17 = 7*k. Let m = -2/1461 + 42379/7305. What is the common denominator of ((-62)/48 + 4)*k and m?
40
Suppose -2*y + 23 = 5*t, 4*y + 5 = 3*t + 12. Find the common denominator of (y/70)/(-5 + 856/170) and -28/27.
189
Let g = -18 - -21. Suppose g = -6*p + 33. Suppose 0*t + 20 = 2*t + 4*q, -p*t - 5*q + 40 = 0. Calculate the least common multiple of 9 and t.
18
Let p(h) = -h**3 - 4*h**2 - 2*h + 2. Let t be p(-2). Let f = 16 + t. Let n(y) = -y**3 + 9*y**2 + 3*y - 17. Calculate the smallest common multiple of f and n(9).
70
Let v = -15 - -29. Let d be 16838/1260 - 4/v. Let o = 178/9 - d. Calculate the common denominator of 26/33 and o.
330
Let h = -35 + 35. Suppose j - 2*g = 11, -2*j + h*g + 19 = -g. What is the smallest common multiple of 17 and j?
153
Let g be 2*2*(-6)/(-8). Let f = 160 + -159. Let y = g + f. Calculate the least common multiple of y and 14.
28
Let x = -25443935 - -610970383/24. Let v = 13160 - x. Find the common denominator of -119/6 and v.
24
Let s = -2944621 + 1054175333/358. Let d = s + -1/537. Calculate the common denominator of d and 21/26.
78
Let w = 9207 + -147385/16. Let q(j) = -j**3 + j**2 - j + 2. Let g be q(0). Find the common denominator of w and (-99)/60 + g/(-5).
80
Calculate the common denominator of (65/858)/((-3)/(-27)) and 21/242.
242
Suppose 0 = 5*j + 2*b - 381, 5*j - 16*b = -21*b + 375. What is the lowest common multiple of j and 14?
154
Let g be (0 + 3)*1/3. Calculate the common denominator of 493/(-170) - -2*g and 3/2.
10
Suppose -2*m - 43 = -3. Calculate the least common multiple of (-44)/(-10) - 12/m and 8.
40
Let y = -39 - -39. Suppose x - 3 = -y. Suppose -x*b = 5*n + 16, -2*b + 7 = 2*b + n. Calculate the lowest common multiple of 4 and b.
12
What is the common denominator of 32/15 and (1796/(-24)*4)/102 + 3?
765
Suppose -2*a - 6*p = -p - 70, 4*a = -4*p + 140. Suppose 137 = 2*z - 215. Calculate the smallest common multiple of 6 and 14/a - z/(-10).
18
Let q(f) = f**2 + f + 1. Let z be q(3). Let p = -9 + z. Suppose 0 = 13*a - 8*a - 10. Calculate the least common multiple of a and p.
4
Let j(r) = -3*r - 16 + 0*r - 3*r - 4*r. Let v be j(11). Find the common denominator of 39/11 and (-2)/4 - (-455)/v.
99
Let g = -6/43 - 169/946. Find the common denominator of g and -83/230.
2530
Calculate the common denominator of (-65)/100 + -6 - (-2 + 5 - 6) and (-2)/(-1) - (-284)/(-96).
120
Suppose 38*f - 40*f = -6. What is the lowest common multiple of f and 28?
84
Let u(v) = -v**3 + 24*v**2 + 30*v - 13. Let p(w) = -w**3 - 6*w**2 - 2*w + 4. What is the lowest common multiple of u(25) and p(-6)?
112
Let x(y) = 3*y + 19. Calculate the lowest common multiple of 30 and x(1).
330
Let h = -2844 + -1906. Find the common denominator of 56/25 and (-6485)/h + (-6)/57.
50
Let g(d) = 8*d**3 - 70*d**2 - 14*d. What is the smallest common multiple of g(9) and 30?
180
Let j(k) = -k**3 - 4*k**2 + 7*k - 5. Let g be j(2). Let r be ((-70)/(-4))/((-2)/4). Calculate the smallest common multiple of r/g - (-4)/6 and 10.
30
Let k = 112 + -106. What is the least common multiple of k and (6/(2 - 4))/(-1)?
6
What is the common denominat