4?
14160
Let g = 31/12 - 97/4. What is the common denominator of g and 3/(72/202)*(-23 - (6 - 27))?
6
Suppose 5*a = 3 - 13. Let k = 225 + -203. Calculate the lowest common multiple of 7 + 2*1/a and k.
66
Let w be 66/30*4*(-30737)/(-10). Let v = w + -27044. Let m = v + -3578/675. Find the common denominator of m and 37/15.
135
Calculate the common denominator of 3 - -3 - 3 - (-391)/(-184) and -15/146.
584
Let v = -2056469/105825 - -1615/83. What is the common denominator of -29/33 and v?
14025
Calculate the lowest common multiple of -420*(-11 + 666/90) and 48.
3024
Suppose -14 = -3*z + f + 21, 0 = -z + 3*f + 1. Suppose z*q - 326 = 12*q. What is the least common multiple of q and 4?
652
Suppose 0 = 28*a - 922 - 86. What is the least common multiple of a and 2840?
25560
Let u(z) = 603*z - 3578. Let o(v) = 3*v - 5. What is the lowest common multiple of u(6) and o(5)?
40
Let v = 35562 - 1778097/50. Calculate the common denominator of v and 3/(15/(-56)) - 0.
50
Let n(j) = 13*j**3 + 28*j**2 + 15*j + 2. Let a be n(-8). Let l = 373672/75 + a. Calculate the common denominator of 86/21 and l.
525
Calculate the common denominator of 137/78 and -3 + (259/(-37) - (-31586)/3120).
1560
Let u = -15365 - -37609. Calculate the least common multiple of 10 and u.
111220
Let k = 17320 - 15604. Calculate the lowest common multiple of 1430 and k.
8580
Let p = 382/21 + -27/7. Find the common denominator of p and -21/2845.
8535
Suppose t + 11 = 0, 0 = 2*r - 6*t + 2*t - 84. Calculate the smallest common multiple of r and ((-2032)/10)/(-2)*5.
2540
Let f(d) = 431*d - 519. Calculate the lowest common multiple of 1290 and f(3).
3870
Let u be 638/5980 + 2/(-20). Let c = u - -2087/897. What is the common denominator of 9/10 and c?
30
Let q = -269/6 + 31/3. Suppose 3*s + 3*p = -5 - 4, -6 = 2*p. Find the common denominator of (-228)/(-40) - (s - 2) and q.
10
What is the common denominator of 25/2 and 10706/196365*(-2)/16*-10?
1482
Let d = -1062310539/1318 + 806002. What is the common denominator of d and 55/12?
7908
Let w(d) = 6*d - 8. Suppose 3*m - 4*z - 24 = 0, -7 + 2 = m + 3*z. What is the lowest common multiple of m and w(4)?
16
Let i = -5734/33942361 + -20190624492459/2546559576386. Let u = 1/5359 + i. Find the common denominator of -7/18 and u.
126
Suppose 943 + 173 = 31*u. What is the smallest common multiple of (-324)/30*10/(-3) and u?
36
Let t = -29 - -40. Suppose -a + 0 = -12. What is the least common multiple of t/((-231)/6) - (-16)/7 and a?
12
Let b be (-1)/35*(184/(-6))/4. Let r = -727/105 - b. Calculate the common denominator of r and -12/41.
287
Calculate the common denominator of -81/550 and ((-2)/12*(0 + 22))/((-781850)/(-17283)).
10450
Let c(m) = -2*m**3 + 16*m**2 + 31*m + 11. Let y be c(9). Suppose y = j + 29. What is the smallest common multiple of j and 12?
396
Let a = 100/673 + 2516320/4711. Let k = -149817/280 + a. What is the common denominator of k and 1/20?
40
Let v(t) = 2*t + 56. Suppose -245 = 3*l - 623. Let z be 4/6 + 7/(l/(-264)). Calculate the smallest common multiple of 4 and v(z).
28
Let d be 19/(-2) - (-21)/14. What is the lowest common multiple of (-22)/d + -9*(-2)/72 and 66?
66
Suppose 0 = 42*l + 548 + 880. Find the common denominator of 931/3363 + (-2)/(-6) and l.
59
Suppose -30*i + 338 - 98 = 0. Suppose 6*t = 45 + 75. Calculate the least common multiple of i and 9 - (-5)/(t/8).
88
Let f(g) = -16*g**3 + 2*g**2 - 4*g + 3. Let t be f(1). What is the common denominator of -5/6 and ((-2)/(-16))/(t/20)*145?
6
Let s be 5 + (-6 - -8)*(-3)/6. Suppose s*u - 48 = -3*d + 106, -3*d + 184 = -2*u. Calculate the smallest common multiple of 3 and d.
174
Let y = -108329/135 + -16442/27. Let f = 1424 + y. Calculate the common denominator of f and -32/71.
355
Suppose z = 4*u - 34 + 27, 4*z - 8 = 4*u. What is the lowest common multiple of z and 32/3*18/12?
80
Let m(z) = -z**3 + 21*z**2 - 27*z + 11. Let a be m(17). Let t = a + -5753/8. Calculate the common denominator of 87/38 and t.
152
Let l = -284857157/540 - -527513. What is the common denominator of 91/2 and l?
540
Suppose 416 = 16*s - 384. Calculate the smallest common multiple of 314/3 + (-3)/(-9) and s.
1050
Let i be ((-9)/1)/(39/(-6864)). Find the common denominator of 1851/i + 18/(-288) and 67/60.
660
Let u = 443779321/730 - 607917. What is the common denominator of u and 71/2044?
10220
Let s = -266705 + 224565541/842. Find the common denominator of 1843/171 + -11 - 190/(-288) and s.
6736
Suppose 0 = -4*j - 0*p - p + 16, -4*p = -4*j + 16. Let i = -67623 - -67651. What is the least common multiple of j and i?
28
Suppose c = -b - 7, -b + 3*b + 4*c + 12 = 0. Calculate the common denominator of (-2940)/(-672) + (-1)/b and 99/2.
2
Let u be (64/(-24))/((-1)/975). Suppose 3*x + x = -u. Calculate the lowest common multiple of 6 and 4/6 + x/(-15).
132
Let s(v) = v**3 + 73*v**2 - 307*v + 194. Suppose f + 2*w = 29 + 6, -58 = -2*f - w. What is the least common multiple of f and s(-77)?
351
Suppose -4*p - 2*i = -166, 0 = -2*p + 3*p - i - 49. Let a(u) = u**3 - 9*u**2 - 184*u + 1410. What is the smallest common multiple of p and a(7)?
264
Suppose 20*s = 5879 + 1. Calculate the lowest common multiple of 168 and s.
1176
Let r = -272 + -11. Let m = 291 + r. Calculate the smallest common multiple of 3 + -2 + (0 - -1) and m.
8
Suppose 4*o = 368 + 112. Let a be (-7)/((-21)/o) + 0. What is the common denominator of 329/60 - (-4)/a and -123/20?
60
Let v(p) = p**2 - 153*p - 10956. What is the lowest common multiple of v(-54) and 261?
19314
Suppose -3*n = -p - 142, 0 = 4*n + n + p - 226. Let h = 29457 + -29449. What is the least common multiple of n and h?
184
Let g(q) = -q**2 + 5*q - 1. Let l = -78 - -82. Calculate the least common multiple of g(l) and (-5)/30 + (-62)/(-12).
15
Let n be (-14070)/(-63)*(-3)/(-22). Let y = 388/11 - n. Let f = 2820 - 22639/8. Calculate the common denominator of y and f.
88
Let g(q) = -2*q**3 + 75*q**2 - 73*q + 1788. What is the lowest common multiple of g(37) and 114?
456
Let f = 213 - 210. Suppose 0 = f*h - 2*b - 6, -8*b + 3*b = 0. What is the smallest common multiple of 13 and h?
26
Suppose -173*n - 28 = -177*n. Suppose -n*g = -18*g + 1144. What is the least common multiple of g and 40?
520
Suppose 32*d - 240*d + 3328 = 0. Suppose 156 = 5*w - 4*p, 2*p + 33 = w + 3*p. What is the smallest common multiple of w and d?
32
Let u = -98 - -245. Suppose -2*h = 4*j - u - 179, 2*j - 328 = -2*h. Let k = h - 491/3. What is the common denominator of 27/8 and k?
24
Suppose 33*m = 51*m + 58*m - 412832. What is the smallest common multiple of 6111 and m?
48888
Suppose -631*f + 669*f - 38912 = 0. What is the smallest common multiple of f and 10?
5120
Let a = -9100/448641 - 44/631. Calculate the common denominator of 40/553 and a.
4977
Let s be (-2)/(5*1/(-2251)). Let c = s + -905. What is the common denominator of c and -1 - (4 + 0 - 196/(-40))?
10
Suppose 7*c - 10*c - 3 = 0. Let q = 984 - 948. What is the least common multiple of q and (-9)/(c*2/6)?
108
Suppose -4*g + 13*i = 18*i - 926, 2*i + 472 = 2*g. What is the lowest common multiple of 522 and g?
6786
Let z = -67/4 - -67/8. What is the common denominator of z and 149/18?
72
Let y be -3 - -3 - (-54 - (-4)/(-4)). Suppose 108*a + y = 113*a. Suppose a*l - 210 = 4*l. Calculate the smallest common multiple of 33 and l.
330
Calculate the common denominator of -9/5 and ((-1)/225)/(546/(-4446)).
525
Let a = 0 + 19. What is the common denominator of -2*(-3)/(-32)*3/9 and -10*a/12 + 1?
48
Let h = -17846 - -749587/42. Calculate the common denominator of 3*(2 + 191/(-99)) and h.
462
Suppose 3760*x = 3783*x - 138. What is the lowest common multiple of (-68)/(-6) - (-8)/12 and x?
12
Let n = -2289 - -27395/12. Let i = 1006783375511/2384002170 + 28/12040415. Let a = i + -4690/11. Find the common denominator of a and n.
36
Suppose 381 + 273 = 2*m. Let t = m + -309. Calculate the least common multiple of 84 and t.
252
Let j = -10042202 - -150555343/15. Let x = 5181 + j. Calculate the common denominator of -34/33 and x.
165
Suppose -4*q + 20 = q. Suppose 0 = q*d + 25 - 97. Let w(r) = r**3 - 13*r**2 + 11*r + 20. What is the least common multiple of d and w(12)?
72
Let x = 3/40 - -431/120. Let f = -384593/163566 + -5/9087. Calculate the common denominator of x and f.
54
