common denominator of -63/10 and (q/(-128)*11)/(510/(-1224)).
80
Let o(w) = -88*w + 837. What is the smallest common multiple of o(9) and 230?
2070
Suppose -5*t = -5*t - 12*t. Suppose t = 9*f - 18*f + 504. Calculate the smallest common multiple of f and 70.
280
Suppose u = -2*c - 11, -3 = -2*c + u - 4. Suppose -5*t + 56 = -34. Calculate the lowest common multiple of t and (-1)/(c/12 + 0).
36
Let q(s) = -4*s**3 + 61*s**2 + s - 23. What is the lowest common multiple of q(15) and 992?
6944
Suppose -100*d - 16*d - 85*d = -92862. What is the least common multiple of d and 1?
462
Suppose 0 = -4*d - 16, 11*d = 2*j + 8*d - 98. Calculate the least common multiple of 30 and j.
1290
What is the common denominator of 51/14*16/18 and (-93)/((4/(504/(-162)))/((-4)/14))?
21
Let p = -43584 + 610121/14. Calculate the common denominator of -31/37182 and p.
260274
Suppose 6*t - 36 = 4 - 10. Calculate the lowest common multiple of 500 and t.
500
Let b = -29467 - -30769. Calculate the smallest common multiple of b and 2232.
15624
Calculate the smallest common multiple of (18/36*7)/((-3)/(-684)) and 624.
82992
Let x(q) = -5*q - 12. Let s be x(-8). Let d = 4/23 - 13/207. What is the common denominator of d and (-97)/(-28) + 7/s?
63
Let b(f) = -27*f + 78. Let t be b(3). Let g(w) = -w**3 + 5*w + 4. What is the smallest common multiple of g(t) and 246?
1968
Let m = -1198205712/1475 + 4061709/5. Let w = -51/59 + m. Calculate the common denominator of w and 63/50.
50
Let y = 9/6997 + -30087127/20991. Suppose 6*f = 7*f - 1419. Let o = f + y. Calculate the common denominator of -36/5 and o.
15
Let g = -10314 - -10876. Calculate the least common multiple of g and 48.
13488
Let s = 226 - 156. Suppose 24 = 3*w - 0*w. Calculate the lowest common multiple of (-5)/(s/4) - 720/(-70) and w.
40
Let s(k) = -6*k + 34. Let n be s(5). Suppose 0 = -2*z - 4*x - 6, -n*x + 2 = -2*z + 28. Calculate the smallest common multiple of 33 and z.
165
Let z(f) = -85*f + 103. Let l be z(4). What is the common denominator of 71/2 and (-9)/126 + l/(-35)?
10
Suppose 5*i + 2*y = -122, -2*y - 31 = 4*i + 67. Let j be (-12)/(-7)*3/(i/(-28)). Calculate the lowest common multiple of ((4/j)/(-1))/((-4)/288) and 12.
48
Let o(r) = 35*r - 271. Let j be (-9 - -16 - 19)/((-6)/4). What is the lowest common multiple of -3*3*4/(-6) and o(j)?
18
Let u be (0 - 5)*(-1)/(-1). Let v(m) = m**2 + 3*m - 6. Let j be v(u). Suppose j*i + 1 = 21. Calculate the least common multiple of i and 7.
35
Suppose 0 = 13*j - 11*j - 628. Suppose -4*m - 74 = -j. What is the common denominator of 178*((-8)/(-12) - 37/m) and 43/2?
10
Suppose -1261 + 3445 = -13*l. Let z = -92 - l. Calculate the lowest common multiple of z and 4.
76
Let t = -1/475068 + 2159401/475068. What is the common denominator of (-17)/(-16)*(-1)/(-7) and t?
1232
Let q be 518/182 - 2/(-13). Let z(w) = 4*w**2 - 1. Let g be z(1). Suppose q*j + g*y - 3 = 0, -5*j + y + 12 = -y. What is the least common multiple of j and 4?
4
Let g = 246/119 - 91/17. Let z = 13733 - 1400881/102. Calculate the common denominator of z and g.
714
Let i(f) = -2*f**2 - 12*f - 19. Let g be i(-9). Let d = 375 + g. Find the common denominator of d/(-44) + 4 - -4 and -19/14.
154
Suppose 45 - 53 = -2*z. What is the common denominator of -1/22 and (z/30)/((-36)/1515)?
198
Let q = -45 - -29. Let z = 416/21 + -1425/77. Find the common denominator of z and (1/36)/(q/(-1164)).
528
Let z = 83988841/342 - 245581. What is the common denominator of z and 47/1254?
3762
Find the common denominator of (100/(-150))/((-3)/(-171)*92) and -179/150.
3450
Suppose 3*p = -2*u + 1, 5*u = 9*p - 12*p + 7. Suppose 0 = u*q, k + 2*q = -4*k + 25. What is the smallest common multiple of (-4)/12 + 62/6 and k?
10
Suppose 29*x + 54*x - 1440 = -7*x. What is the smallest common multiple of x and 1272?
2544
Find the common denominator of -23 + -4 + 24 - 4967/(-1680) and -61/200.
8400
Suppose 118336 = 126*n - 6908. What is the least common multiple of n and 10?
4970
Let o be (-252)/282*(-1188)/63. Let s = o + -760475/45026. Calculate the common denominator of 7/16 and s.
7664
Let m(c) = -c**3 + c + 12. Let l be 0*(28/8)/7. Calculate the lowest common multiple of (-1044)/(-203)*14*4/16 and m(l).
36
Let z = -67 + 77. Let x be 1 + (-8)/z + 22802/(-10). What is the common denominator of x/32*(-1)/(-6) and -151/6?
24
Let b = 16 + -14. Suppose -5*d = 2*m - 55, -3*m + 2*m = -4*d - 60. What is the lowest common multiple of m and b?
40
Let q = 31 + -23. Let y(v) = -17 + 6 - 57 - 23*v. Calculate the least common multiple of y(-4) and q.
24
Suppose -4*k - 480 = -20*k. Suppose -5*s = -15*s + k. Calculate the lowest common multiple of s and 6.
6
Let x = 996/55 - 96/5. What is the common denominator of (-1)/2 - (-77)/(-8) and x?
88
Suppose -10*a = -12*a. Suppose 5*s - 7*s + 6 = a. Calculate the common denominator of 107/6 and 134/(-20)*((-8)/(-4) - s).
30
Let x = 89256 - 13566841/152. Calculate the common denominator of x and (-33)/(-825)*1845/(-12).
760
Let b = 2339253 + -14994611693/6410. Find the common denominator of b and 27/14.
44870
Find the common denominator of (-352)/150 + -14*(-8)/168 and 95/78.
1950
Suppose 0*q + q = 10. Suppose 51 + 38 = n. Suppose 3*m - 3*l - 19 = 20, 5*m + 3*l - n = 0. What is the smallest common multiple of q and m?
80
Let v be 3 + 3 + 7645776/(-189). Let p = 40449 + v. Find the common denominator of p and -67/27.
189
Let i(b) = -b**3 - 8*b**2 + 20*b + 6. Let y be i(-10). Suppose d - y*d - h = -236, -d = 2*h - 40. What is the least common multiple of d and 30?
240
Let o(p) = p**3 + 7*p**2 + 11*p - 11. Let h = 71 - 76. Find the common denominator of o(h) and -81/52.
52
Let b(y) = -y**2 + 9*y - 14. Let n be b(5). Suppose -2 = n*u - 14. Suppose u*o + 36 - 68 = 0. What is the least common multiple of 5 and o?
80
Suppose 0 = -q - 3*q + 4, -5*c + 2*q = -103. Let g = c + -18. Suppose -157 = -g*r + 41. What is the lowest common multiple of 12 and r?
132
Let k = 295879877/6 + -680228109041/13794. Let r = -381/19 - k. Calculate the common denominator of r and 37/209.
2299
Let k be ((-36)/10)/((-21)/70). Let f = 20 - k. Suppose -50 = -4*c + 5*a, -3*c - 9 + 47 = -4*a. Calculate the smallest common multiple of f and c.
40
Let a be (6 - -793) + 3 + -7. Suppose 0 = 39*k - 2511 + a. What is the least common multiple of k and 48?
528
Suppose -d - 22 = -2*d - 4*c, c + 66 = 3*d. Let t = 8 + -11. Calculate the common denominator of -33/14 and t - 81/d*-1.
154
Let v(i) = -i**2 - 8*i - 4. Let k be v(-4). Let o = k + -8. Suppose 0 = -2*u + u - 4*m - 14, 2*m + o = -2*u. What is the least common multiple of 11 and u?
22
Let t = -4316 + 4322. What is the smallest common multiple of t and 7138?
21414
Let z = 141 + -84. Calculate the lowest common multiple of z and ((-2)/(-5))/((-112)/(-8400)).
570
What is the common denominator of -59/4356 and (8/20)/((-36)/(-45)) - 90/(-44)?
4356
Let h = -3899/5598 + -8/311. Calculate the common denominator of (57/38)/((-36)/(-1)) and h.
72
Let u be -5 + 4/(-14) + (-437)/161. What is the smallest common multiple of 27 and 12/(u/3*(-10)/120)?
54
Suppose -12*r = -11*r - 2280. Let o = 8315 + -99845/12. Find the common denominator of r/(-792) - (-2 - 1) and o.
132
Let b(q) = 5*q**3 - 10*q**2 + 14*q - 6. Suppose 6 - 10 = -2*s. Calculate the lowest common multiple of 24 and b(s).
264
Let t = 3402656/95 - 35817. What is the common denominator of t and 46/1995?
1995
Suppose 3*k = -36*k + 100397 + 24910. Calculate the least common multiple of k and 243.
28917
Let h = 4591029/22 - 208684. Let u = 2547/5 - 30889/60. What is the common denominator of h and u?
132
Let t be 12/20 + (28615/(-25) - 2). What is the smallest common multiple of 42 and (-2)/(-8) + -6 + t/(-24)?
42
Suppose 0 = 2*s + 6, -29*s = -5*n - 33*s + 813. Suppose -8*t = -n - 43. Suppose 4*z + 12 = 0, -z = 2*u + 2*z - 3. What is the least common multiple of u and t?
78
Calculate the common denominator of 17/632 and (0 - 12 - -6)*(-17)/(-76).
12008
Suppose -63 = -366*m + 359*m. Calculate the lowest common multiple of m and 18.
18
Let c be 72/(-20)*4/(22028/5). Let i = c + -261762/787501. Calculate the common denominator of 24/91 and i.
1001
Find the common denominator of 1/1359 and (-6)/(864/6)*(-18)/(-3624)*132.
10872
Let k = 303/13 + -2929/182. What is t