d (-4 - ((-67)/7 - -5)) + (-81)/(-3570).
13260
Let j(q) = -37*q**3 + 5*q**2 + 6*q**2 - 9*q**2 - 2 - q. Let m = 97 - 98. Find the common denominator of -97/12 and j(m).
12
Let z be ((-6092)/(-5))/(24/420). Let a = 1087469/51 - z. What is the common denominator of a and (-30)/(-20)*(-53)/6?
204
Calculate the smallest common multiple of (-1)/8 + (-81498)/(-2256) and 16.
144
Let d be ((-2)/4 + (-32)/(-4))*2. Suppose 0 = -9*b + 4*b + d. Suppose 2*y = f + 56, 141 = y + 4*y - b*f. Calculate the lowest common multiple of y and 27.
27
Let w = 2215066 + -4496583891/2030. Calculate the common denominator of -37/1015 and w.
2030
Let s = 1589/115 + -442/23. What is the common denominator of s and -32/7?
35
Calculate the least common multiple of (-5)/(-80)*6 + 41410/80 and 5180.
5180
Suppose 4*c - 200 = 5*a, 3*c + a - 5*a - 151 = 0. Let h(t) = -194*t - 48288. Calculate the least common multiple of (-2)/4 - c/(-2) and h(-249).
198
Calculate the smallest common multiple of (27036/(-450) + 4/50 - -5)*-10 and 3450.
37950
Suppose 6*v - 5*y - 20 = v, v + 4*y + 11 = 0. Let g = 3 + v. Suppose g*p = 73 + 47. What is the lowest common multiple of 18 and p?
90
Let i = 304375/65816 - -3/8227. Find the common denominator of i and -15/809.
6472
Suppose 170*q - 178*q = -120. Let l(a) = -a**3 + 16*a**2 - 12*a - 9. Calculate the least common multiple of l(q) and 84.
252
Calculate the smallest common multiple of (-3)/5 - 216/10*-1 and 1104.
7728
Suppose 4*f + 131 + 37 = 0. Let s = 41 + f. What is the smallest common multiple of (-7 - s)/(2/(-3)) and 11?
99
Let v(k) = 5*k**3 - 2*k**2 + 3*k - 5. Let w be v(2). Calculate the common denominator of (-420)/255 + -1 + 3 and (-32)/w + (-2)/3.
187
Let y be 2048/(-11506) + (36/(-33))/(-6). Let f = 68773/67990 - y. Let g = 1814/21 - 871/14. Calculate the common denominator of g and f.
390
Let s be (-260)/(-50) + (-1)/5. Suppose 2 = -7*t - s. Find the common denominator of -47/9 and 3/t*16/(-128).
72
Let i = 9738839 - 428211009/44. Let o = 6770 - i. What is the common denominator of o and -83/64?
704
What is the common denominator of (-1037)/(-528) - (64/11 - (-48)/(-8)) and -38/423?
6768
Let i(n) = 5*n + 0*n - 7*n + 16 + 3*n. What is the smallest common multiple of i(-8) and 10?
40
Let o = 2368 + -2364. What is the smallest common multiple of o and 87?
348
Let f = -21499359577547152/217645 + 98781775724. Let s = 10/2291 + f. What is the common denominator of s and 49/55?
1045
Let b = -22193/208 + 853/8. What is the common denominator of b and -121/390?
3120
Let x be (-12)/(-6) + -2 + -6. Let p be (3/6)/(1/x*-1). Suppose 6*m = p*m + 78. What is the lowest common multiple of m and 6?
78
Let a be ((-8)/6)/(-4) - (-2596)/(-12). Calculate the lowest common multiple of (a/45 - -6)/((-4)/(-30)) and 33.
99
Let w(g) = -7*g**3 - 9*g**2 - 83*g - 150. Let k(y) = -9*y - 6. Calculate the smallest common multiple of w(-2) and k(-4).
180
Suppose 3*x = -x + 8, 4*k = 3*x + 18. Suppose 3*p = 3*z, k = 2*z - 3*p + 4*p. Calculate the least common multiple of z and 11.
22
Let p(s) = 6*s**2 - 5*s + 4. Let k be p(1). Suppose -5*z - 262 = 2*c - k*c, 0 = 5*z + 10. Calculate the smallest common multiple of c and 14.
84
Let r(t) = t**3 - 6*t**2 + t - 119. Calculate the smallest common multiple of 1919 and r(9).
13433
Let r = 260/287 + -150412/173635. Calculate the common denominator of r and 139/1540.
16940
Let a(c) = -2*c**2 + 4*c + 6. Suppose 4*l = 4, -3*n + 6*n - 11 = 4*l. Let w be a(n). What is the least common multiple of (-1 - -1) + (-12 - w) and 6?
12
Let v = -10975/2 - -5452. What is the common denominator of v and -13/940?
940
Let t = -236384 - -1662961448/7035. Let j = t - 298087/239190. Calculate the common denominator of j and -113/20.
1020
Let j be ((-95121)/(-730))/(-13) - 6/10. Let m = j + 9/73. Find the common denominator of 53/30 and m.
30
Let b be (-15)/(-9)*(-696)/(-4). Suppose -1140 = -5*v + v - 3*p, 0 = -v - 2*p + b. Calculate the smallest common multiple of v and 12.
564
Suppose -19*y = -20*y. Suppose -8*v + 12*v - 160 = y. What is the least common multiple of v and 32?
160
Let g(w) = 17*w + 23. What is the smallest common multiple of g(-1) and 40?
120
Calculate the common denominator of (-578)/(-84) - 482/5061 and 103/830.
5810
Let l be (16 + -1)/5 + 89. Let j = l - 122. What is the common denominator of -7/3 and (-15)/6 + 12/j?
30
Let s = 2852/5 + -570. Find the common denominator of -113/486 and s.
2430
Let s = 34045 - 94781279/2784. Let c = s - 38053/13920. Find the common denominator of 2*(-26 + 1287/54) and c.
15
Let o be (-9 + 798/90)*(-244210)/12. Let l = o + -2710. What is the common denominator of -88/465 and l?
1395
Let j(a) = 50*a**3 - a**2 - 3*a + 3. What is the lowest common multiple of -3 + (-14)/(-294) + 1150/105 and j(2)?
3144
Suppose -32*v = 27 + 37. Calculate the common denominator of 63/(-4) - (-1)/4 and -3*v/15 + 37076/(-6240).
24
Let t = -14825 + 296559/20. Let q = -579149/40 + 14481. What is the common denominator of q and t?
40
Suppose 5*o = d + o + 7, -4*o = 2*d - 22. Let h be (4 + -4)/4*1. Suppose h = -2*c + 3*u - 3, 3*c - 4*u = -d + 3. What is the lowest common multiple of c and 30?
30
Suppose 16*q - 17*q + 42 = 0. Let x(d) = 17*d - 163. What is the smallest common multiple of q and x(11)?
168
What is the common denominator of 5 + (139570/(-8260) - (-7 + -5)) and 27/2065?
4130
Let a(g) = 2*g - 10. Let m = -7074 - -7096. Calculate the least common multiple of m and a(12).
154
Calculate the common denominator of -105/1664 and (-1017)/(-60)*(1463/(-66) + 22).
8320
Suppose 6836 = 13*w + 518. Suppose 4*f + 1342 = 5*q, 0 = 4*q - 3*f + w - 1559. Calculate the lowest common multiple of 10 and q.
1330
Let z be 2 - 1/(1/6165439387). Let n = z + 151620485489575/24592. Let j = -4/1537 - n. Calculate the common denominator of -33/16 and j.
16
Suppose 93*o - 51775 = -12157. What is the smallest common multiple of o and 12?
852
Suppose 17*y - 1051 = -201. Suppose 5*k = 20 + y. Suppose 3*w - k = -11. Calculate the least common multiple of 76 and w.
76
Let z(l) = 108*l**2 - 2*l + 2. Let q be z(1). Suppose -3*d = -7*d + q. Let i = -9 + d. Calculate the lowest common multiple of 30 and i.
90
Let h = 8920 + -89099/10. What is the common denominator of h and (-3 + (-550)/(-5))/(9 - 3)?
30
Suppose 0 = -c - 3, 10*l - 459 = 5*l - 2*c. Let v = l + -86. Suppose -6*f - 34 = -v*f. Calculate the common denominator of -63/32 and f.
32
What is the common denominator of (-25)/30*-6 + (-222)/(-30) and 23/559?
2795
Let b(x) = -x**2 + x + 9. Let s be b(-5). What is the common denominator of s/6 + 675/36 and 2 + ((-258)/20)/(-3)?
20
Suppose -3939 = -20*s - 139. What is the lowest common multiple of 285 and s?
570
Let o = -3212122/1385 - -11596/5. What is the common denominator of o and 40/7?
1939
Let w be 6/10 - 6/10. Suppose -d + 637 = 2*t - 5559, -t + 4*d + 3089 = w. Let s = 24701/8 - t. Calculate the common denominator of 79/6 and s.
24
Let g(u) = -u**2 - 14*u - 15. Let r(m) = 2*m**2 - 38*m - 40. Let y be r(20). Calculate the least common multiple of (y + 1)*(-5 - (-98)/7) and g(-11).
18
Let r(q) = -13*q**3 - 22*q**2 + 23*q - 5. Let o(y) = 7*y**3 + 12*y**2 - 12*y + 3. Let d(g) = -11*o(g) - 6*r(g). What is the least common multiple of 4 and d(3)?
12
Suppose -148*r + 149*r + 1 = 0. Calculate the common denominator of 0 + 2 + 62/(-28) and 4 + -1 + 185*r/(-110).
154
Let s = -134/33 - -57587/14190. Let z = s - -8389/1720. Let a = 23501/8 - 2928. Find the common denominator of z and a.
8
Let g = 730 - 17515/24. What is the common denominator of g and ((-1)/((-5)/2680*-8))/9?
72
Let i(w) = 723*w**2 - 87*w - 168. What is the lowest common multiple of 1656 and i(-2)?
11592
Calculate the common denominator of (-7 - (-425390)/62622) + (-3 - (-22)/7) and -53/142.
1278
Let k = -194 + 248. Find the common denominator of -11/6 and (17/(-85))/(k/(-335)).
54
Calculate the lowest common multiple of (1/2)/(155/52700) and 119.
1190
Let x = 2260 + -2180. Calculate the lowest common multiple of x and 840.
1680
Let p = 151056/3094721 + 601678927202/289935126327. Let d = p + -8/2839. Find the common denominator of 62/55 and d.
165
Suppose -157*q - 119 = -88*q - 86*q. Suppose -4 = -2*x - 3*p + 6, -6 = -2*x - p. Suppose -1 = -x*l + l. What is the least common multiple 