-211105068621/2750 - r. Let j = n + 68/125. What is the common denominator of -61/18 and j?
198
Let u be -3 - 3 - -3 - (-6021)/33. Let s = 10931/66 - u. What is the common denominator of 85/6 and s?
6
Let p be 1 - (-2 + 105187/(-22)). Let g = -4786 + p. Let t = -5697 - -125299/22. Calculate the common denominator of g and t.
22
Let m(z) = 20*z + 50. Let y(s) = -7*s - 17. Let t(d) = 6*m(d) + 17*y(d). Find the common denominator of t(-4) and 32/5.
5
Let h(p) = -p**3 + 6*p**2 - 2*p + 2. Let o be h(6). Let r = -30/457 + -21179/4570. Calculate the common denominator of ((-318)/30)/(4/o) and r.
10
Let j be 4/(-6)*(-258)/4. Let a = 73 - j. What is the smallest common multiple of a and 16?
240
Suppose 3*m - 13 = -2*y, 4*y + 3*m = -m + 32. Let r(s) = -4*s**2 - 31*s - 20. What is the smallest common multiple of r(-6) and y?
22
Let z = -3691/8 - -468. Find the common denominator of z and -28/17.
136
Calculate the lowest common multiple of (-4)/(-32) - (-2 - 188/32) and 16.
16
Suppose 0 = -48*c + 214 + 266. Calculate the lowest common multiple of 90 and c.
90
Suppose 2*n - 63700 = -11*n. Let g be 23770/16*(-33)/(-10). Let s = n - g. What is the common denominator of s and -119/6?
48
Suppose -2*x + 5 = 2*x + 5*a, 0 = -4*a + 4. Suppose v + 8 = p + 3*v, x = -4*p + 5*v + 19. Calculate the smallest common multiple of 12 and p.
12
Let o(y) = -y**3 - 7*y**2 + y + 10. Let f be o(-7). Suppose a - 4*c = 24, 5*a - f*c = 4*a + 19. What is the lowest common multiple of 3 + a*(-3)/(-6) and 11?
55
Suppose q - 2*q = 22. Let t = q + 29. What is the least common multiple of 41 and t?
287
Let g = -106 + 228. Let m = -298 + g. Calculate the common denominator of (10/m)/5*206 and 87/14.
308
Suppose w - 2*d + 4*d = -3331, -2*w + 3*d - 6676 = 0. Let j = w + 40087/12. What is the common denominator of -63/20 and j?
60
Calculate the common denominator of 43/110 and 311/(-140) - 138/322.
220
Suppose 0 = -k + 4*c + 40, c = -5*k - 3*c + 56. Suppose 0 = 3*v - 3*f + 6*f - 210, -3*v = -3*f - 198. What is the least common multiple of v and k?
272
Let k = 20117/8 - 2526. Calculate the common denominator of k and 2/(-8) - 65/(-36).
72
Let t be 7 + 1/(2 + -1). Let d(k) = k**2 + 12*k - 346. What is the common denominator of 55/t - 0/1 and d(-25)?
8
Suppose -14 = -3*h - 2. Find the common denominator of (-105)/12 + (-3)/h and 1/2 - 10/3.
6
Suppose -6*v + n = -v + 9, -5*v - 5 = -5*n. What is the common denominator of -53/12 and ((-106)/(-3) - v)*3/18?
36
What is the common denominator of (30/(-675))/(16/(-2)) and 43/54?
540
Let y = 831 - 729. Calculate the lowest common multiple of 26 and y.
1326
Suppose -12 = 2*w - 52. Let q = 30 + -8. Calculate the least common multiple of (-2)/5 - (-408)/w and q.
220
Suppose 0 = 72*u + 707 - 2435. Calculate the least common multiple of u and 320.
960
Let v = 244414689/11 + -5273002822093/237314. Let y = -3/1541 + v. Find the common denominator of 12/(-40)*115/18 and y.
84
Let z(b) = -78*b + 132. What is the smallest common multiple of 77 and z(0)?
924
Let j(p) = p + 5. Let d(h) = 2*h**2 + 18*h + 27. Let s be d(-16). Suppose -41 + s = 7*a. What is the least common multiple of a and j(0)?
30
Suppose -5*s + 20 = 0, s + 0*s - 4 = -3*m. Suppose -2*a = -m*a - 20. Let d(t) = t**3 - t**2 - 11*t + 5. Calculate the lowest common multiple of a and d(4).
90
Let a = -153/385 - -25/77. Calculate the common denominator of 167/30 and a.
330
Suppose 0 = 5*s + 3 - 153. Suppose -s + 162 = 2*z. What is the least common multiple of z and 12?
132
Let z = 31 + -29. Suppose -40 = 4*v - 5*v + z*c, -v + c + 40 = 0. What is the lowest common multiple of v and 12?
120
Let t be 4/8 + (-3)/(-2). Let n = 156757/32152 + -2/4019. Calculate the common denominator of 129/60 - t/8 and n.
40
Suppose 5*l = -2*x + 13, -5*l - 3*x + 1 = -4*x. Calculate the smallest common multiple of l and (2/(-6)*3)/(1/(-6)).
6
Suppose 4*v = 7*v + 66. Calculate the least common multiple of ((-1)/2)/(v/528) and 4.
12
Let y be (-3)/1 - 145/5. Let v = y - -97. Suppose v = 4*s + t + 15, 10 = s - t. What is the lowest common multiple of s and 4?
12
Let z = 9287/432 - -1/432. Find the common denominator of z and -3/26.
26
Let b be 1 + (-9)/8 - (-1503)/(-72). Let p = 29 + b. Calculate the lowest common multiple of p and 18.
72
Let y be 12/42 - (-710)/14. Suppose -y = 5*l - 141. What is the smallest common multiple of l and 16?
144
Let j = 116373 + -50622214/435. Find the common denominator of j and 71/12.
1740
Let n = 50 - 58. What is the common denominator of (-1 - (4 + n)) + 118/(-8) and 119/12?
12
Suppose 5*u - 225 = -2*z, 2*u + z + 21 = 111. Let i = -903 + 857. What is the common denominator of u and i?
1
Let c = -36/103 + 1833/824. What is the common denominator of -57/44 and c?
88
Suppose -3*r - 5*c + 61 = 0, -5*c = -r + 25 + 22. Calculate the lowest common multiple of 24 and r.
216
Let c be (301649700492/(-6040) - -3)/9. Let r = -27745671/5 - c. Let d = r + -270/151. What is the common denominator of d and -29/10?
30
What is the lowest common multiple of (20/(-6))/(1 + (-40)/36) and 21 - (3/(-1) + 2 + -2)?
120
Let s be (-3)/(-6) - (-273)/(-510). Let o = -71889/595 + s. Let f = o + 2887/28. What is the common denominator of 9/8 and f?
8
Let g = -35 - -69. Let h = -2 + g. What is the least common multiple of 7 and h?
224
Suppose -4*j + 32 = -2*d - 0, 3*j + 4*d = 2. Suppose -3*v = 4*a + 7, -3*a - 11 = 1. Calculate the smallest common multiple of j and v.
6
Let y be (7/(70/(-15)))/((-6)/16). What is the common denominator of -7/22 and ((-4)/234)/(y*(-1)/339)?
858
Suppose 3*i - 55 = -10. What is the lowest common multiple of i and 6?
30
Let v = 349 + -343. What is the smallest common multiple of 6 and v?
6
Let t be 3*1 - (-5 + 3). Suppose 5*u - 46 = -0*u - 3*l, -t*u + 58 = -l. Calculate the lowest common multiple of u and -2 + 33/9 + (-469)/(-21).
264
Let y = -15311/12 + 1273. Let q be 1 + 0 + 406/20548. Let m = q + 12/467. What is the common denominator of y and m?
132
Let c be (-4)/(2/(-3)*(-6)/(-4)). What is the lowest common multiple of -1 - 6/c*-2 and 1?
2
Let g = -171676/19 + 9038. What is the common denominator of g and 137/54?
1026
Let v(d) = 3*d**2 - 11*d + 8. Let f be v(4). Find the common denominator of 3*8/36 - (-22)/f and 0 - (1 + 53/10).
10
Calculate the common denominator of 64/93 and 4 + -8 + (-2)/((-792)/1374).
2046
Let j(h) be the second derivative of -5*h**4/12 - h**2/2 - 3*h. Let a be j(2). What is the common denominator of (-177)/a*(-1)/2 and 9/22?
154
Let s = -176 - -178. What is the smallest common multiple of s and 1128?
1128
Let x be 6/24 + (-11774)/(-10). Let o = 1175 - x. Find the common denominator of o and 7/7 - ((-35)/(-18))/5.
180
Let r be (-1)/(((-27)/(-6))/9). What is the smallest common multiple of 22 and (r/(-6))/(1/18)?
66
Suppose -4 + 12 = 2*j. Suppose -4*w + 12 + j = 0, 3*h = -5*w + 41. Calculate the least common multiple of h and 4.
28
Let o be 2 + -2*(-73)/(-80). Let y = o + -377/40. Let a = 666753/32 - 20839. Calculate the common denominator of y and a.
32
Let v be (327732/7408)/3 - -1. Let f be (12/(-20))/((-1852)/(-10)). Let b = f - v. Find the common denominator of b and 13/5.
20
Suppose 0*b - 4*b = -24. Let n(u) = -u**2 + 11*u - 21. Let k be n(7). Suppose -k*z = -10*z + 72. What is the least common multiple of z and b?
24
Suppose 1 = -3*j - 29. Let a(i) = i**3 + 84*i**2 + 166*i + 165. Calculate the smallest common multiple of a(-82) and (4/j)/((-1)/5).
2
Suppose 13*k = 9*k + 40. Let y(h) = -h**3 - 2*h**2 + h + 2. Calculate the least common multiple of y(-4) and k.
30
Let l be (50/(-6))/(((-12)/5606)/1). Let b = 3894 - l. What is the common denominator of b and 143/18?
18
Let a = -624 - -920. Calculate the least common multiple of a and 10.
1480
Let f = 271 + -107. What is the lowest common multiple of 24 and f?
984
Let w = 10352 + -227809/22. Calculate the common denominator of 270/42 + -7 + (-1081)/(-42) and w.
66
Let n = -64079/14 - -4571. Calculate the common denominator of 37/230 and n.
1610
Let f be 0 - ((-10)/(-2) + -2). Let j be (7/f + 3)*6. Suppose k = -4*c + 21, k = -j*c + 6*k + 15. What is the lowest common multiple of 8 and c?
40
Suppose 4*s - 146 = 114. Let o = s - 59. Calculate the smallest common multiple of 16 and o.
48
Calculate the common denominator 