). What is the common denominator of 3*r/9 - 0 and -31/24?
24
Let x = 116 + -118. Find the common denominator of -9*(110/424 + x/8) and 6/48*(-70)/(-3).
636
Let i = 129 + -132. What is the common denominator of (-26)/(-27) - (-1)/i*3 and 121/6?
54
Suppose 28*q - 86 = 138. Calculate the lowest common multiple of 2 and q.
8
Let y = -11353/2 + 5635. Let t(m) = m**2 - 5*m - 6. What is the common denominator of y and t(9)?
2
Suppose 2*k = 3*h - 8, -3*h = -k - 7 - 3. What is the common denominator of -79/28 and ((-9)/5 + k)/((-44)/5)?
308
Suppose 5*b + 4470 = 5*x, -3*b = -4*x + 1096 + 2485. What is the lowest common multiple of 87 and x?
2697
Suppose 12 = 68*d - 62*d. Suppose -42 = -d*q - 30. Calculate the least common multiple of q and 28.
84
Let j = -1857 + 1869. Calculate the least common multiple of j and 210.
420
Suppose 5*b - 14 = 2*m - 3, -3*m + 21 = 5*b. Let x be ((-3)/3 - 0)*0. Suppose -m*v - 14 + 44 = x. What is the smallest common multiple of v and 18?
90
Let k = 947183/440286 + 3/13342. Let u = -16 - -15. Find the common denominator of (-37)/(-24) + 2 - u and k.
264
Let n be (-6)/32*-4 + (-4761843788)/12720. Let w = -374358 - n. Calculate the common denominator of w and 7/8.
6360
Let v = -179245/24 - -7471. Find the common denominator of 154/8*(-1)/(-4) and v.
48
Let f(r) = -6*r + 5. Let v be f(7). Let j be 3 + -5 + 46 + 1. Let x = j + v. Calculate the least common multiple of x and 16.
16
Let y = -73 + 913/12. Find the common denominator of y and -67/21.
84
Suppose b - 5 = 13. Let y be 0/(1*-4 + (6 - 4)). Suppose 2*x - 2*h - 22 = -y*x, 4*x + 4*h = 28. What is the least common multiple of x and b?
18
Suppose -3406*s - 296 = -3443*s. Calculate the smallest common multiple of 1740 and s.
3480
Let d be 1*((-10)/3)/5*-3. Let g(f) = 2*f**2 + 37*f + 38. Calculate the least common multiple of (-15)/25 + (23/5 - d) and g(-18).
20
Suppose -4*v - 29 = k, v - 5 - 8 = 2*k. What is the smallest common multiple of ((-9)/(-1) - (-7 - k))*1 and 7?
7
Let l = 7817 + -195391/25. Calculate the common denominator of l and ((-754)/91)/(-18 - -28).
175
Let v = 26585 + -15280. Suppose 0 = 7*m - 0*m - v. What is the smallest common multiple of 16 and m/38 - (-1)/(-2)?
336
Let q(z) = 3*z**3 + 4*z - 3. Let x be (-3)/(0 - 2/(-1) - 5). Let i be q(x). What is the lowest common multiple of 12 and (-9)/(18/i) - -2*7?
12
Let d = 43209/1474 - 325/11. What is the common denominator of -87/10 and d?
670
Let l = -363168373/7692 + 188855/4. Find the common denominator of 83/75 and l.
48075
What is the common denominator of 71/2970 and (13*(-24)/(-18) - -3)*4/180?
2970
Let k = -147707/690 - 1659/46. Let h = -287 - -537. Let s = k + h. What is the common denominator of -10/9 and s?
45
Let y be (-5)/(-40) - (-3068)/32. Let d = y + -293/2. Let w = 1/254 - -7107/1270. What is the common denominator of w and d?
10
Let v = 16347047/140 + -116764. What is the common denominator of v and 29/25?
700
What is the common denominator of -19/2 and 1556/(-248) + (-8 + 1 - -12)?
62
Let m(d) = 25*d**3 + d**2 - 7*d + 13. Let r be m(3). Let b = -562 + r. What is the least common multiple of b and 27?
1026
Let d be (-6)/33 - (-501)/33. Let n = 16 - d. What is the least common multiple of (-1599)/(-91) + (-9)/(-21) and n?
18
What is the common denominator of 23/2 and 3/(-2)*8/20 - 35170/(-49200)?
984
Suppose 1477 = -4*y + 5*h + 4116, 5*y = -2*h + 3340. Calculate the least common multiple of y and 370.
3330
Suppose 559260 = 274*p - 40*p. What is the smallest common multiple of p and 4?
4780
Let d(i) = -26*i + 4961*i**2 - 6 + 4980*i**2 + i**3 - 9945*i**2. Suppose 6 = -3*r + 30. Calculate the common denominator of 85/26 and d(r).
26
Let j be (-17264)/(-40) + (-6)/10. Suppose -4*y = -k - j, 2*y = -6*k + 2*k + 202. What is the common denominator of 6 + -2 + -6 + y/(-6) and 47/10?
30
Let z(p) = p**3 - 6*p**2 + 7*p + 2. Let r be z(5). Suppose -i + 2 = -r. What is the smallest common multiple of i and (-32)/192*-36*(7 - 1)?
252
Let y(g) = 2*g + 2. Let j be 10/(70/63) + (-1 - 3). Calculate the smallest common multiple of 6 and y(j).
12
Let f = -20890/33 - -8858009/13992. Calculate the common denominator of -115/1908 and f.
3816
Suppose 5*o = 4*a + 20341, -8*a + 10*a - 8122 = -2*o. Calculate the smallest common multiple of 1626 and o.
8130
Let d(f) = -10*f + 10. Let i(p) = p**3 + 2*p**2 - 11*p + 86. Calculate the least common multiple of d(-8) and i(-6).
360
Let m(q) be the first derivative of -q**4/4 - 20*q**3/3 - 21*q**2/2 + 6*q + 17. Calculate the least common multiple of (17 - 12) + (-5 - -2) and m(-19).
44
Let n be (-60)/3*(-17 - -1). Let k = 643/2 - n. Calculate the common denominator of 73/3 and k.
6
Let a = -5/381 + -1267/9906. What is the common denominator of (4264/18655)/(13/(-30)) and a?
546
Suppose -62*r + 53*r - 486 = 0. Suppose -2*h - 25 = 95. Let l = r - h. Calculate the smallest common multiple of 27 and l.
54
What is the common denominator of -3/11 and (-1695)/(-10050) - 15/(-25)?
1474
Let p(o) be the second derivative of -33*o + 0 - 39/2*o**2 + 3*o**3. What is the smallest common multiple of 3 and p(4)?
33
Let m = -1869 + 2801. Suppose -6*r = m + 2998. Calculate the common denominator of 2*r/360 - (-2)/4 and 111/28.
252
Let v(f) = f - 1. Let w be v(3). Suppose 5*q - q - 34 = -w*j, -12 = -4*q. What is the smallest common multiple of j and (-12 - -1)/(3168/(-576))?
22
Let v = 16166/10283 - 1/1469. Calculate the common denominator of -85/429 and v.
3003
Suppose -4*t - 12*p - 228 = -10*p, 176 = -3*t - 4*p. Find the common denominator of 4/14 - (-9229)/1386 and -3 - ((-156)/t + -2).
126
Let k(m) = 107*m**2 + 937*m - 13. Calculate the lowest common multiple of 169 and k(-9).
2873
Let t = 31319/27 - 1161. What is the common denominator of t and (886305/(-7560) + 117)/(1/10)?
108
Let g = 102679/2 - 326416487/6358. Find the common denominator of 45/289 and g.
3179
Let o = 2555 + -43414/17. Let c be 112/21*1785/(-28). Find the common denominator of ((-70)/(-18))/((c/90)/(-17)) and o.
34
Let f(u) = u**3 - u**2 - 2*u + 11. Let i(s) = -s**2 + s - 1. Let b(c) = f(c) + i(c). Let z be 0*(-2)/4*1. Calculate the smallest common multiple of b(z) and 8.
40
Suppose h = 2*h + 1. Let z be 1*h/(-10)*(-18279)/6. Let o = -304 - z. Calculate the common denominator of -73/24 and o.
120
Let b(w) = -w**3 + 11*w**2 - 9*w + 14. Let i(u) = -u**3 - 9*u**2 - u + 9. Calculate the least common multiple of b(10) and i(-9).
72
Let m = -61736 + 11606327/188. Find the common denominator of m and -81/184.
8648
Let v be (-5)/1 - (-18 - 10). What is the common denominator of 81/4 and ((-3)/6)/(v/(-41))?
92
Let d = -6434 + 6454. Calculate the lowest common multiple of d and 920.
920
Let m = 19795 - 10904. Let a = 71033/8 - m. Calculate the common denominator of 25/8 and a.
8
Let n = -7424/9 - -5766/7. Calculate the common denominator of -173/2520 and n.
2520
Suppose -8*h = -78 + 94. Let r = -9797 - -568261/58. Find the common denominator of r and 1785/(-150)*1/h.
580
Let a = 8 + -2. Let w = 141863 + -141857. Calculate the smallest common multiple of a and w.
6
Suppose 11*c = -13*c + 19265 + 6415. What is the smallest common multiple of c and 2782?
13910
Let p be (-3)/(-5)*(-9 - (-2 - 2)). Let v = 15743/6 + -2614. Find the common denominator of 1*p - (-2303)/1410 and v.
30
Let a = -47 - -49. Let x = -106 - -109. Suppose -3 = 2*p + x*l + 6, 2*l + 10 = 0. What is the lowest common multiple of a and p?
6
What is the lowest common multiple of 83 + ((-12)/66 - (-18)/(-22)) + 2 and 21?
84
Suppose -3691 = 5*d - r, 3*d + 3*r + 628 + 1601 = 0. Let p = d - -2985/4. Calculate the common denominator of p and 158*3/(-192)*2.
16
Suppose -w - p = 3, -5*p - 11 = -3*w + 6*w. What is the common denominator of ((-370)/(-180))/(w/3) and (1455/40*2)/(-9)?
12
Suppose 5*x + 4*b + 371 = 0, 2*b - 104 = 2*x + 48. Let r be 23056/154 - 2/(-7). Calculate the smallest common multiple of r/4*(-5)/(x/12) and 8.
120
Let l(u) = -330*u - 327*u - u**3 + 640*u + 62 + 19*u**2. Calculate the lowest common multiple of l(18) and 50.
400
Let u(z) = -z**2 - 37*z + 28*z - z**2 + 33 - 40*z. What is the smallest common multiple of u(-25) and 96?
96
Let t = 90276751/737173920 - -1/2136736. What is the common denominator of t and -67/8?
2760
Suppose -61*q - 264 = -20. Find t