ommon denominator of (170/96)/((-250)/40 - -6) and -4 + (12/75)/((-9)/15).
60
Let x(i) = 7*i - 19. Let q be x(-9). Let f = q + 84. Suppose 26 - 16 = f*t. What is the lowest common multiple of 5 and t?
5
Let b = -180/139 - -49892/37669. Let n = -10433/4607 - b. Calculate the common denominator of n and -4*(1 - (5 + (-12)/9)).
51
Let r(q) = q + 19. Let h be r(0). Let p(s) = -s + 20. Suppose -2*n = -3*n + 5. What is the least common multiple of n and p(h)?
5
Let z = -920309539/48312 + 277/16104. Let n = -19055 - z. Find the common denominator of (-114)/(-9)*3/(-8) and n.
36
Let k be (-5 + 0)*(-10140)/(-100). Let r = k - -11117/22. What is the common denominator of r and -85/8?
88
Suppose q - 195 = -191, q - 14 = -5*o. Calculate the least common multiple of 1358 and o.
1358
Let x = 984/713 + -1290211/953994. Calculate the common denominator of x and -47/1784.
5352
Let s be (-28)/(-56) + (-245117)/(-174)*1. Let x = 4225/3 - s. What is the common denominator of -161/30 and x?
870
Let h be (-11300)/10*(4 + 2*-1). Let c be (1 + 560/(-18))/(h/(-555)). Let m = -59/113 + c. What is the common denominator of 40/27 and m?
108
Suppose 4*r - 5*t = -4240, 3*t = 2*r - r + 1067. Find the common denominator of -49/10 and -5 + (r/(-300) - -3).
60
Suppose -19 + 13 = -39*v + 33. What is the smallest common multiple of v and 408?
408
Let v = 156 - 158. Calculate the smallest common multiple of 13 and ((-3)/(-2))/((-1)/v).
39
Let v = 12715 + -1106221/87. Let a = -1078/1131 - v. Calculate the common denominator of ((-18)/44)/(51/68) and a.
143
Suppose -5*g + 24 = -2*g + 5*m, -3*g = -3*m. Suppose 4*y + 28 = f, -8*y + g*y - 20 = 0. What is the least common multiple of 27 and f?
108
Let j = -12077/8 - -1507. Find the common denominator of 17/13846 and j.
55384
Suppose 0 = -5*o - a + 25 + 29, -5*o + 5*a = -30. Let k be (2/(-73570))/(o/(-75)*-3). Let y = 577517/110355 - k. What is the common denominator of -47/33 and y?
330
Suppose 4*i - 5*r = -125, i + 45 - 16 = -r. Let c = i + 36. Suppose -17 - 3 = -5*b. Calculate the lowest common multiple of c and b.
12
Calculate the common denominator of -31/12 and 2/(-360)*(-134460)/648.
72
Let n = -9 + 17. Suppose 16 = n*a - 7*a. Calculate the least common multiple of (-25 + -3)*(-6)/21 and a.
16
Let q = 208 + -81. Suppose 0 = -q*v + 129*v - 6. What is the lowest common multiple of 93 and v?
93
Let v = 13178 + -11651. What is the smallest common multiple of 54 and v?
27486
Let x = 22 - 49. Let i(t) = -t**2 - 29*t - 30. Calculate the least common multiple of 24 and i(x).
24
Suppose 20*c - 24*c + 3*a = -9108, a = 5*c - 11363. Calculate the smallest common multiple of 5 and c.
11355
Suppose 28*o = 26*o + 10. Suppose -5*q - 2*k = 3*k - 40, -q = -o*k - 8. What is the least common multiple of 40 and q?
40
Let b = 42810 - 38625. What is the lowest common multiple of b and 6?
8370
Calculate the common denominator of (-34)/(287/21*9) and 51/5.
615
Let r(t) = t**3 + 3*t**2 + 2*t + 2. Let k be r(-2). Suppose 29*y - 26*y - 42 = 0. What is the least common multiple of (-4 + 44/8)*k*6 and y?
126
Let m(o) = 6*o**3 - 221*o**2 - 36*o + 187. What is the lowest common multiple of m(37) and 42?
672
Suppose -60 = 9*r - 11*r. Let m(c) = -4 + 3 - r + 5*c. Calculate the smallest common multiple of 4 and m(8).
36
Calculate the least common multiple of 1320/11 - (-1 - 1 - -2 - 0) and 90.
360
Let f(s) = 9*s + 13. Let n be f(-2). Calculate the common denominator of (-52)/2*(-2)/(-22) and 430/(-66)*(-1)/n.
33
Let r(w) = 0*w**3 + 6 + 10*w**3 - 3*w - 16*w**3 + 5*w**3 - 5*w**2. What is the lowest common multiple of r(-4) and 2?
2
Calculate the common denominator of 9 + (-7)/((-109760)/(-140546)) and -19/10.
1120
Let p be (-15)/12*-4 - 1. What is the common denominator of -107/66 and 1170/1210 - (p - 3)?
726
Let t = -1060639/76 + 13956. Let l be 6690/(-36)*394*(-1)/10. Let a = -7304 + l. Find the common denominator of a and t.
228
Let j(g) = g**3 + 26*g**2 + 25*g + 26. Let y be j(-25). Let l = 19 - y. Calculate the lowest common multiple of -4*(l/(-2) + 1)/(-1) and 18.
18
Let n(c) = -14*c - 43. Let t be n(-3). Find the common denominator of (t - -7) + -9 + 268/78 and 93/2.
78
Suppose 0 = -9*w + 68*w - 338 + 43. Calculate the least common multiple of 855 and w.
855
What is the lowest common multiple of 295/50 - (8 - 243/30) and 271?
1626
Let s = 33 + -29. Suppose 0 = -4*m + 4*p - 0*p - 28, -s*m - 3*p = 21. What is the least common multiple of (-2 - 2 - m) + 25 and 9?
27
Suppose 5*t - 12 = p, 0 = 5*t - 70*p + 72*p - 6. Calculate the lowest common multiple of 664 and t.
664
What is the common denominator of (36 - 33 - (-1)/((-282)/825))*10 and 49/47?
47
What is the lowest common multiple of 2720 and (-171)/(-228) + (-1)/(20/(-20385))?
8160
Suppose -676 = -5*k + 444. What is the smallest common multiple of 992 and k?
6944
Let q(r) = -2*r**3 - r**2. Let b be q(-4). Let j = b - 79. Calculate the smallest common multiple of 26 + 6 + -14 + 6 and j.
264
Let k = 6146 - 61377/10. Find the common denominator of k and 37/55.
110
Let c = -8099 + 647999/80. Calculate the common denominator of 4*(-265)/(-2400) - (1100/66 + -17) and c.
80
Find the common denominator of 19 + -18 - ((-146)/12 + -5) and 127/2172.
2172
Suppose 2*v - 4 = 2*x, 2*v + 7*x - 25 = 2*x. Calculate the smallest common multiple of 4245 and v.
4245
Let f(d) = -d**2 + 16*d + 17. Let z be f(17). Let i be (5/(-3))/((-4)/(-72) + z). Calculate the common denominator of 5/(i/4) + 355/(-360) and -103/6.
72
Let s = 189311/15 - 12616. Let i be 385/(-1524) - (-3)/12. Let l = i + 20200/2667. What is the common denominator of l and s?
105
Let o(f) be the second derivative of 3*f**3 - 31*f**2 + f - 34. Calculate the least common multiple of 2 and o(4).
10
Suppose 0 = -2*q - u - 0*u + 7085, 4*u = 4. Suppose o - 5*d + d = -3543, 5*d = o + q. Let h = 17673/5 + o. Find the common denominator of -3/32 and h.
160
Let g = -12796 - -14524. Calculate the smallest common multiple of g and 6.
1728
Let w(m) = -2*m**3 + 35*m**2 + 41*m - 116. What is the smallest common multiple of w(17) and 2?
870
Suppose -b = -5 - 0. Suppose 21*u - b = 22*u. Calculate the common denominator of 5/24 and 54/(-10) + u/(-20).
120
Suppose 100*u = 79*u + 672. Calculate the least common multiple of u and (-6 - 60/(-18))/((-1)/3).
32
Let h = 7952 + -7760. What is the smallest common multiple of h and 2952?
23616
Let s = -108088823/928 - -116475. Calculate the common denominator of 131/12 and s.
2784
Let p be (-20)/(-4)*(-6)/(-5). Suppose 0 = 36*y - 171 - 81. What is the smallest common multiple of ((-3)/(-6))/(p/72) and y?
42
Let l(d) = -7*d + 9. Let o be l(-4). Let r = -33 + o. Suppose r*k + 0 - 32 = 0. Calculate the smallest common multiple of k and 12.
24
Suppose -u + 316 - 16 = 0. Find the common denominator of -2 + ((-130)/u)/(18/(-165)) and 73/20.
180
Let z = -3197897/6 - -530453. Let p = z - -2548. Find the common denominator of p and (-6 - (-138)/30)*10/15.
30
Let k(o) = -13*o**3 + 5*o**2 - 5*o - 6. Let q be k(3). Let w = 333 + q. What is the lowest common multiple of w and 2?
6
Suppose 2*g - 2802 = -g. Let i be 0 + (-1 - (-928)/g). Let r = i - 2673/20081. Find the common denominator of -63/10 and r.
430
Let s(a) = 6*a - 37. Suppose -13*d - 60 = -18*d. Calculate the smallest common multiple of s(d) and 50.
350
Suppose 2*x + 3496 = -764. Let r = x - -46797/22. Let b = 44/49 - 4743/98. Calculate the common denominator of r and b.
22
Let p = -276/5 - -3758/65. Calculate the common denominator of 3*(-4 + 1130/270) and p.
117
Let i = 11999 - 11559. What is the least common multiple of i and 88?
440
Let b = -1/2873 - -252845/60333. What is the common denominator of 61/3 and b?
21
Let f be (2 + -3)*(10 - 11). Calculate the common denominator of 21148/(-2992) - (-9 + f) and 48/121.
484
Suppose 33*l = -51*l - 33821 + 172757. What is the smallest common multiple of 16 and l?
13232
Suppose 3*p + 5*r - 315 = 0, 0 = -2*p - 6*r + 3*r + 211. What is the common denominator of 71/33 and p/21 - (46/7 + -7)?
33
What is the common denominator of -7 + (-88569)/(-12272) + (-9)/(-144) and 1406/(-132) + 4/(-22)?
354
Let v(n) = 318*n + 393. Calculate the least common multiple of 72 and v(10).
28584
Suppose -8*n = -4*n - 16. Let c = -180 + 186. Calculate the lowest common mu