0 + 56141/122. Let b = 28873/126 - 1592/7. What is the common denominator of j and b?
1098
Let j(l) = -124*l**2 + 16*l + 26. Let f be j(-18). Let a = f + 165647/4. Let o = a + -969. Calculate the common denominator of 51/4 and o.
4
Let x = -16 - 108. What is the common denominator of 12/(-8)*x/(-96) and 2/(-3) - (-1725)/(-180)?
16
What is the common denominator of 1 + 2 + 1407/(-196) + 4 and -65/8?
56
Suppose 0 = -4*v - 8, -2*x + 5*v - 35 + 225 = 0. What is the smallest common multiple of x and 45?
90
Suppose -1 = -l, 236 = 5*m + 2*l - l. Suppose -5*k + 50 = 5. Calculate the lowest common multiple of m and k.
423
Suppose 0 = -y + 5*u - 5, 2*u - 8 = -y + 1. What is the lowest common multiple of y*(3 + (-13)/5) and 18?
18
Let a(j) be the second derivative of -j**3 - 8*j**2 - 6*j. Let u = -2 - -10. Calculate the least common multiple of u and a(-3).
8
Let l(h) = -16*h - 301. Calculate the smallest common multiple of l(-19) and 596.
1788
Suppose -m + 4*s + 12 = -14, 4*m = s + 44. Let q be (34 - 4)/((-2)/m). What is the common denominator of -6 and 1/(-3) + 1435/q?
10
Let h = -171941/6 + 28764. Let v = h + -946/9. Find the common denominator of 29/14 and v.
126
Let m = -80779 - -19710025/244. Calculate the common denominator of m and 37/8.
488
Suppose -10*c = -4*c - 432. Suppose 4*f = 2*f + c. Calculate the smallest common multiple of f and 24.
72
Let x be (60/8)/(3/4). Let j = x - 8. Let l(h) = -h**2 + 15*h - 36. What is the smallest common multiple of j and l(8)?
20
Let v(w) = -w**2 + 7*w + 8. Let d be v(8). Suppose -7*p + 0*p + 42 = d. Let y(l) = 2*l - 1. What is the lowest common multiple of p and y(1)?
6
Let z(g) = g + 166 + 5*g - 223. Calculate the smallest common multiple of 3/(-12) + (-98)/(-8) and z(10).
12
Let s be (-2)/5 - 172692/45. Let i = -38319/10 - s. What is the common denominator of 4/(-5)*(-333)/144 and i?
20
Let q be 24/(-2 + 4 + 0). Let j = -6 + q. What is the lowest common multiple of 18 and j?
18
What is the common denominator of ((-252)/35*1)/(0 + (-70)/25) and 48/7*(-2)/6?
7
Suppose -21 = 3*r + 2*z - z, 4*z + 30 = -3*r. Calculate the smallest common multiple of 13 and -3 + ((-2)/6 - 50/r).
65
Let z = 23 - 19. Suppose 2*o - 4 = 2. Suppose -o*q - 20 = 2*k - 66, 3*k = -2*q + 34. What is the smallest common multiple of q and z?
28
Let o = 1256 - 1028. What is the least common multiple of 6 and o?
228
Let m be (-125)/20 + 7 + (-134)/8. Let z be (3/(-3) - -6) + -1. What is the lowest common multiple of z*(-4)/m - -7 and 37?
296
Let m(y) = -y**3 + 4*y**2 + 3*y - 3. Let k be m(4). Let n(w) = -2*w + 12. Let a be n(k). Let t = 16 + a. What is the least common multiple of 6 and t?
30
Calculate the common denominator of -8/11 and 1/10 - 279/13640.
88
Let i = -1247 + 682. What is the common denominator of ((-4)/(-20))/(18/i) and 97/18?
18
Let m be (-14950)/(-22) + (-2)/(-2). Let i = -680 + m. Let n = 107/6 + -103/3. What is the common denominator of i and n?
22
Suppose -3*n - 160 = -4*j, -95 = 4*n - 3*j + 123. Calculate the common denominator of 2/(-12)*(1 + n) and (-4)/(-12) - (-26)/18.
18
Let s = 1887 - 1865. What is the lowest common multiple of s and 3?
66
Suppose -5*s + 1 = -q + 5, 5*s + 16 = 4*q. What is the lowest common multiple of 16 and q?
16
Let a(z) = 8*z + 48. Let r be a(0). Suppose -115*w + r = -112*w. What is the smallest common multiple of 7 and w?
112
Let w(z) = -z**2 - 5*z + 2. Let v be w(-4). Calculate the smallest common multiple of 3/v - (-34)/4 and 36.
36
Suppose 5*o = -5*t - 170, 0*o - 4*o = -3*t - 109. Find the common denominator of ((-69)/(-10))/((-308)/t - 7) and 69/8.
24
Suppose -283 = 3*c - 19. Calculate the lowest common multiple of (3/(-6))/(4/c) and ((14/1)/7)/((-3)/(-6)).
44
Suppose 2*d + 5*s = -25 + 64, 5*d = 2*s + 54. Let r = d - 12. Calculate the common denominator of (69/(-30) - r) + -1 and -97/8.
40
What is the common denominator of -31/6 and (-4570)/624 - -2 - -5?
312
Suppose 3*z - z = -10. Let c be (4/5)/((-16)/40). Find the common denominator of c/z*(-2275)/(-84) and -87/2.
6
Let g = -122685/25234 - 2/1147. What is the common denominator of g and -63/4?
44
Suppose 5*n + 3*k + 12396 = 0, 6*n - 2*n - 4*k + 9904 = 0. Let d = n - -9833/4. Find the common denominator of d and -5 + 8 + 44/10.
20
Let u = 15 - 106. Let b = -227/3 - u. Calculate the common denominator of -85/24 and b.
24
Let x(u) = 56*u**3 + 2*u**2 - u. Calculate the smallest common multiple of 27 and x(1).
513
Suppose -93*j = -115*j + 198. Calculate the lowest common multiple of 198 and j.
198
Suppose -v + 2*b = 3*b - 11, 67 = 5*v + b. Suppose v*c - 602 = -0*c. What is the smallest common multiple of c and 9?
387
Let g = -193/21 - -90/7. Calculate the common denominator of 38/165 and g.
165
Let w = 28 + -12. Suppose -5 = -2*x - 1. Suppose -3*h = -4*m - 26, x*h + 3 = -3*m + 26. What is the smallest common multiple of h and w?
80
What is the common denominator of 125/288 and -11 + (-3545)/1600*-5?
576
Suppose -12*r = -59*r + 2068. What is the smallest common multiple of r and 60?
660
Find the common denominator of (-33)/12*(4 - (-279)/(-81)) and 59/66.
396
Let t be (-2545)/2370*-3 + 3/(-1). Let z = t + -3532/1501. Find the common denominator of z and -49/4.
76
Let c = 6 - 3. Suppose 0 = -4*a + c*u - 6*u - 4, 3*u = -12. Let r = 1 - -3. What is the lowest common multiple of a and r?
4
Let f = 42/263 - 31717/2630. Find the common denominator of f and -21/122.
610
Let j = 16827339/7 + -2424519. Let u = j - -3184877/154. Let b = u + -375/11. Find the common denominator of 61/8 and b.
8
What is the common denominator of 26/31 and ((-2)/(-10))/((-24)/192)?
155
Let h = -217 + 255. What is the smallest common multiple of h and 16?
304
Let c be (1460/15*3)/2. Find the common denominator of 2 + -5 - c/20 and -119/12.
60
Suppose 0 = 31*g + 1162 - 8757. Calculate the least common multiple of 175 and g.
1225
Suppose 4*z = -2*n + 129 - 29, -5*n + 214 = -2*z. Suppose -5*x = -2*h - 140, 4*x - 39 = 3*h + 73. Calculate the lowest common multiple of n and x.
308
Let n be 619588/(-72) + 1 - -3. Let t = n - -8607. What is the common denominator of t and (-49)/(-10) + (0 - 1)?
90
Suppose 2*h - 51 = 5*o, -5*o = 3*h + 10 - 24. Suppose m = -4*b + 22, 2*m - b + 13 = 3*m. What is the lowest common multiple of h and m?
130
Let u be -3 + 4 - (-427161)/116144. Let t = u + 10/1037. Find the common denominator of t and (-10)/15 - 158/168.
112
Let a = 11329 - 2118516/187. Find the common denominator of a and -15/187.
187
Let k = -133477/32 + 4170. Calculate the common denominator of k and 103/224.
224
Let c = 15 + -19. Calculate the least common multiple of c + (69 - (-3 + 5)) and 9.
63
Let s be (-4)/((-8)/(-2)) - -217. Let p be (s/30)/(2/(-10)). Find the common denominator of 87/4 and (-1)/(-2) + 726/p.
12
Let p = -62 + 73. Calculate the common denominator of (14/4)/(21/p + -2) and (-12)/10*(-62)/(-6).
10
What is the common denominator of 5/((-180)/(-176)) + 1 and (-9)/(-72) - (-65)/24?
18
What is the common denominator of -89/110 and (4/(-18))/(740/16761)?
330
Let k = -1546 + 6099/4. Let x = -4899540 + 1313074569/268. Let w = -15/67 + x. What is the common denominator of w and k?
4
Let v = 1994 - 1898. Calculate the smallest common multiple of 116 and v.
2784
Let u be (-14)/(-70)*1906/132. Let w = -7/33 - u. Calculate the common denominator of 29/4*(-1)/2 and w.
40
Let s be 0 + 1 + (-1237)/100. Let f be (-1066)/(-50) + (-594)/54. Let y = s + f. Find the common denominator of y and 43/18.
180
Let y(j) be the second derivative of j**5/20 - 2*j**4/3 + 13*j**3/6 + 2*j**2 - 20*j. What is the smallest common multiple of 40 and y(6)?
40
Let o(w) = 49*w - 2. Let f be o(3). Suppose -5*p = 2*g - f, 27 = g + p - 50. Suppose 3*s - g = -2*s. Calculate the least common multiple of s and 14.
112
Suppose 5*k = -3*t - 9796, 0*t = -3*k - t - 5880. Let o = -52904/27 - k. Find the common denominator of o and 79/33.
297
Let t = 60 + -63. Let k = 23 + -12. Calculate the smallest common multiple of k and 3 - (t/12 + 15/12).
22
Let r(y) = -y - 3. Let v be r(-6). Let l = 5 + v. Let b = -571 + 573. What is the smallest common multiple of b and l?
8
Let p(m) = -3*m + 24. Let v be p(0). Calculate the common denominator of 10/9*v/5 and -29/4.
12
Let s = -16/5067358649 - -172660113044689/56922653