 = 587/12 + -907/20. What is the common denominator of d and ((-427)/(-425) - 1)*(-53580)/(-564)?
510
Let y(u) = 3*u**2 - 33*u - 30. Let q be y(12). Calculate the common denominator of -131/78 and ((-178)/780)/(q/(-108)*6).
390
Let r(n) = n - 1. Let u(j) = -j**2 + 20*j - 15. Let c(x) = -6*r(x) + u(x). Calculate the lowest common multiple of c(13) and 6/63 + (-2)/6*(-1565)/35.
60
Suppose 0*y - y - 3*v + 50 = 0, 4*y = -5*v + 165. Suppose 7 - 34 = -j. Let f = y - j. What is the common denominator of f and -57/10?
10
Suppose r - 3*k - 2 = 0, 5*k + 10 = r + 8. Suppose -r*j - 1024 = -18*j. Calculate the lowest common multiple of 22 and j.
704
Let i = -4230 + 4231. Calculate the smallest common multiple of i and 4033.
4033
Let x = 78408 + -5880592/75. Calculate the common denominator of x and 1/1 - (-11)/(-105).
525
Let m = -6965/181146888 + -3/27053. Find the common denominator of 33/10 and m.
33480
Let t = -8707/930 - -136/93. Find the common denominator of 25/93 and t.
930
Let g = 81475253/444 + -183503. Find the common denominator of 49/296 and g.
888
Find the common denominator of (6/86)/((-2)/(-23)) and 62/(-279)*(-6)/(-5)*75.
86
Suppose 21*s + 30 = 26*s. Let t be 24/s + -64 + 0. Let k = -92 - t. Calculate the common denominator of -52/3 and k.
3
Suppose 12*r - 14*r + g + 103 = 0, -3*r + 4*g + 152 = 0. Suppose -v = -5*t + r, -3*v + 35 - 4 = 2*t. Calculate the smallest common multiple of t and 52.
572
Calculate the common denominator of 1860/(-2425) + ((-56)/20 - -4) and 17/38.
3686
Let u = -10004/3 + 2941055/882. Find the common denominator of 3/1078 and u.
9702
Suppose -5*d = 34826 - 5486. Let m = -58633/10 - d. Calculate the common denominator of m and (-106)/(6/21 + 5080/(-140)).
90
Suppose 3*w + 3*t - t = 358, 4*w + t - 484 = 0. Let k(b) = -3*b**3 + 35*b**2 + 23*b - 118. What is the least common multiple of w and k(12)?
854
Let c = -12793/5976 - -75/664. Find the common denominator of ((946/((-99)/9))/4)/22 and c.
396
Let c(g) be the third derivative of g**5/30 - g**4/4 + 2*g**3/3 + g**2. Calculate the least common multiple of c(4) and 21/((126 - 127)/(1*-1)).
84
Let i = -376015/18 - -20882. Let r = 4901/5 - 13374819/13645. Let h = 117355/10916 - r. What is the common denominator of h and i?
36
Let i(s) = s**3 + 9*s**2 + 10. Suppose 12*o + 84 = -24. Calculate the smallest common multiple of i(o) and 11.
110
Let s = -17621/192 + 1467/16. Find the common denominator of s and 97/640.
1920
Let p(n) = -n**3 - 43*n**2 + 55*n + 486. Calculate the smallest common multiple of 706 and p(-44).
706
Let q be (-3)/9 - 374/(-51). Suppose h = -3*o + 6, o = 2*h - q*h + 58. What is the least common multiple of 9 and h?
36
Let q = -34334 - -35018. What is the least common multiple of q and 8?
1368
Let r be 6/(-54) - (-535)/(-45). Calculate the common denominator of ((-28)/r + 1)*14/36 and 73/42.
378
Let i(c) = -c + 1. Let x(n) = -12*n + 32. Let j(s) = -20*i(s) + 2*x(s). Find the common denominator of j(8) and 30/11.
11
Find the common denominator of (-6)/21 + (-1646748)/(-3704736) and 1 - 1 - 21/(-4).
296
Let a(s) = -6*s - 43. Let m(d) = -2*d**2 + 14*d - 22. Let h be m(6). Calculate the smallest common multiple of 8 and a(h).
136
Let m(g) = 572*g - 3548. Calculate the lowest common multiple of m(11) and 392.
2744
Let h(v) = -v**3 - 10*v**2 + 12*v + 8. Let s be h(-12). Suppose -9*c + 505 = -s. What is the lowest common multiple of c and 9?
657
Let c = -29/2227 + -1244545/26724. Let l = 76/3 + c. Calculate the common denominator of l and -73/6.
12
Let o(g) = 8*g**2 + g - 3. Let z be -2 + -3 + 4 + -2. Let v be o(z). Suppose 15*a = 12*a + v. What is the smallest common multiple of 18 and a?
198
Let n(z) = 5*z - 186. Let f be n(-13). Let m = f + 305. What is the smallest common multiple of 36 and m?
108
Suppose -46 = -t - t. Suppose 3*d + d - 4*k = 12, -k + 22 = 4*d. Suppose j - d*a = -t, 28 = j + 3*j + 4*a. Calculate the lowest common multiple of j and 8.
8
Suppose 23 = 4*t - 2*w + 5*w, 1 = w. Suppose t*v + 294 = -v. Calculate the common denominator of (v/2)/1 - (33 - 30) and 145/36.
36
Let p = 3/139 + 43/4448. Let b = 6258 + -4376. Find the common denominator of (-2)/(-336)*b + (-2)/7 and p.
96
Let u = 4286 + -4278. What is the smallest common multiple of 63 and u?
504
Suppose 0 = -5*y + 12 + 13. Let i be 2 + 7/(y/(-5)). Calculate the common denominator of -65/4 and (1/3)/(i/(-370)).
12
Let k(y) = -y**2 - 2*y + 1. Suppose 8 = 4*w, 3*o + 50 = 8*w - 4*w. Find the common denominator of k(-7) and 8/2 - (o/(-5) - -4).
5
Let u(l) = l**2 - 22*l - 61. Let p be u(24). What is the common denominator of 12/28 - (-349)/(-14) and (p/6 - -3)*84/9?
18
Let q = 13843 - 13682. Calculate the least common multiple of q and 5129.
35903
Let l be 2183/8130 + 2 + (-18)/10. Let y = -1/542 + l. Calculate the common denominator of 271/12 + 2/8 and y.
30
Calculate the common denominator of (96/(-3318))/((-9)/(-126)) and 50/4977.
4977
Let j = 57 + -115. Let v = j + 49. What is the lowest common multiple of 8 and (26/(-36) - 2/v)*-42?
168
Suppose -19 = 31*k - 81. Suppose 6*t - 5*t - 31 = -z, -183 = -5*t + k*z. What is the least common multiple of 45 and t?
315
Suppose -b = 2*b + 6. Let a(p) = -3*p**3 - 2*p**2 + 2*p + 2. Calculate the least common multiple of (-1080)/(-100) - (-12)/(-15) and a(b).
70
Let k(j) = j**3 - 3*j**2 - 5*j + 1. Let z be k(5). Let b be z/(-10) - (-20)/(-50). Calculate the common denominator of 9/8 and (-75)/8 - ((-6)/b - 3).
8
Let w be (-4)/(-120)*20/(-2655). Let n = 315937/31860 - w. Let s = 14765/8 - 222167/120. Calculate the common denominator of n and s.
60
Let b = -2/87 - 1817/2958. Let h = -109027/30 - -3639. Find the common denominator of h and b.
510
Let n(s) = 4*s + 107. Let z be 0/1 - (6 - 6). Suppose z*r - r + 15 = 0. What is the least common multiple of n(-20) and r?
135
Let o = 22237 + -2512759/113. What is the common denominator of -27/226 and o?
226
Calculate the lowest common multiple of 270 and 210*15*30/100.
1890
Let i be (-18)/12*4*(-3)/(-18). What is the common denominator of (15/(-120))/(2 + i) and -43/106?
424
Let a = 1520 + -9187/6. What is the common denominator of a and -2*(-2)/(-5) - 3176/80?
6
Let i = -16 + 24. Calculate the lowest common multiple of i and 0 + (-6)/2 + (-498)/(-6).
80
Let h = -603 - -617. Let j = 171 - 103. What is the smallest common multiple of h and j?
476
Calculate the common denominator of ((-410)/8500)/((-8)/30) and 51/8.
680
Let o(d) = -d**2 - 2*d + 4. Let z be o(-4). Let n = 377 - 357. What is the smallest common multiple of n and ((-12)/z)/((-9)/(-102))?
340
Suppose 192 = 33*m - 303. What is the common denominator of -7 - (-189)/m - 5 and ((-78)/27)/(10/6)?
15
Let v be ((-2214066)/(-66) - 5) + 6/27. Let c = 33541 - v. Find the common denominator of -53/121 and c.
1089
Let x = 6506947/99 - 65726. Find the common denominator of x and -47/1100.
9900
Calculate the lowest common multiple of 0 - 1 - (901702/(-722) - 8/76) and 96.
1248
Let j be 2 + 1 + 1 + -1 + -1. Let l be (12/(-4) + 2)*-1*j. Suppose -l*p - 3*p = 3*t, 4*p - 4*t = 32. Calculate the smallest common multiple of 7 and p.
21
Suppose 2*m = 6, -382*c - 4*m = -379*c - 849. Calculate the smallest common multiple of c and 310.
2790
Let m = -6397/2 - -16038/5. Calculate the common denominator of 47/4*(-1)/(-5) and m.
20
Let q = 3930/7 + -560. Let w = -6475059226 - -49339951231643/7620. Let k = -2/1905 + w. Find the common denominator of q and k.
28
Let d = 313/113 + 1416/1243. Suppose l + 4*r = -3 - 44, 124 = -3*l + 5*r. Find the common denominator of d and (2/(-6))/(4/l).
132
Suppose u - q - 44 = 3*q, 5*u + 2*q = 110. What is the common denominator of (-5)/(-3)*(-9)/u and (4/(-8))/((-27)/(-354))?
72
Let t(j) = j**2 - 12*j + 10. Let k be t(17). Calculate the common denominator of 1084/144 - 10/(-45) and 9/(-6)*k/30.
4
Let r = -7/54254 - -2469817/9765720. What is the common denominator of r and -53/188?
16920
Suppose -4*f = 5*a, 0 = 16*a - 14*a + 5*f. Suppose a = 6*t + 7*t - 65. Calculate the least common multiple of 15 and t.
15
Suppose -4*a = -c - 115, -5*a - 11*c + 7*c = -128. Calculate the smallest common multiple of 182 and a.
364
Let t = -1/10459 - 554295/334688. Find the common denominator of t and 53/1068.
8544
Suppose 6*g + 160 = 14*g. Suppose -g*z = -14