/304. Let p = o - 86/19. What is the common denominator of -101/160 and p?
160
Let j be (-29 - -25)*((-6)/(-4) + -2). Let i(a) = a**2 + 2*a - 2. Calculate the lowest common multiple of i(j) and 27.
54
Let g be (-184910)/30*21/15008. Let y be ((-4)/4288)/(4/(-2)). Let j = g - y. What is the common denominator of j and 73/20?
40
Let s be (-36)/(-20)*(13/3 - 1). What is the common denominator of 117/20 and s/2*(-2190)/8100?
180
Let h = 12664 + -177223/14. Let f = -8 + -8. Calculate the common denominator of h and (-3 + 3235/220)*f/(-40).
154
Let k(j) = -j**2 + 11*j - 28. Suppose 2*c + 8 = 4*h - 2, 3*c - 25 = -2*h. What is the least common multiple of 45 and k(h)?
90
Suppose 12*a - 100 = 8*a. Suppose -a*c = -2*c - 1518. Calculate the lowest common multiple of 12 and c.
132
Let v = 416 + -496. Find the common denominator of -37/10 and 42/(-235)*200/v.
470
Let t(q) = -q**3 + 20*q**2 + 43*q + 6. Let y be t(22). What is the least common multiple of (y/20)/((-3)/210) and 10?
280
Let a(s) = -15*s + 90. Let r be a(5). Let k = r - 9. What is the smallest common multiple of k and 4?
12
Let j(n) = 9*n**2 - 46*n + 145. What is the smallest common multiple of j(5) and 120?
840
What is the least common multiple of 44 and 1344/(-14)*(3 - 22)?
20064
Let m = -1/2 + 9/14. Suppose 5*t - 51 = -2786. Let z = t + 6012/11. Calculate the common denominator of z and m.
77
Let q be (2/(-234))/(142/12). Let u = -307339/27690 + q. Let k = 36/1625 + -148523/29250. Calculate the common denominator of u and k.
90
Let v = 68373/20 + -3414. Calculate the common denominator of -31/52 and v.
260
Let l = 29573 - 1182923/40. Calculate the common denominator of l and -65/1208.
6040
Let s = 924 - 2731/3. Let w be 938/(-1155) - (-4)/6. Let o = -4159/990 - w. Find the common denominator of o and s.
18
Let x = -14 - -16. Suppose 0 = x*n + 4*s - 7 - 9, -5*n + 33 = 3*s. Let u(z) = z**2 - 2*z - 7. What is the smallest common multiple of n and u(5)?
24
Let b be (-78)/(-104) + (-20323)/44. Let k = b - -461. Calculate the common denominator of k and -43/184.
2024
Let b = -4/2115 - 20281/86715. Find the common denominator of b and -53/225.
9225
Let u be 112/(-63) + 2 + 302/18. Let t(b) = 14*b - 2*b**2 - 34*b - 11 + u*b + 24*b. What is the least common multiple of 8 and t(9)?
16
Suppose 0 = 4*x - i - 19, -2*x - 3*i + 0*i = -13. Suppose x*o - 200 = -5*k, k - 3*k - 5*o = -68. What is the common denominator of 43/22 and 1/(-24)*2222/k?
528
Let i(f) = -3*f**2 - 175*f + 35. What is the lowest common multiple of i(-56) and 21?
1281
Calculate the common denominator of (-710830)/(-66340) + (-22)/2 and -9/1498.
1498
Calculate the smallest common multiple of (3146/154 + -21)/(2/(-742)) and 68.
3604
Suppose 1162*n - 1178*n + 32 = 0. Suppose -40 = -5*t - 0*t. What is the least common multiple of n and t?
8
What is the lowest common multiple of 11 and (-3)/(-18)*(-75 - -17)*-18?
1914
Let t(i) = i**2 - 6*i - 6. Let d be t(7). Let y = 25289/6 + -4213. Calculate the common denominator of y and -1 + d - 365/310.
186
What is the common denominator of 1*137/(-360) - (-30)/90 and 31/90?
360
Let b = -1365853416 + 109270501721/80. Let x = b + -27855. Calculate the common denominator of x and -21/5.
80
Let g(w) = -4*w**3 + 8*w**2 + 14*w - 6. What is the smallest common multiple of 1280 and g(-2)?
3840
Let a = -158 + 161. Find the common denominator of 39/7 and (1/a)/((-11)/((-5313)/266)).
266
Let p(u) = u**3 - 6*u**2 - 136*u + 20. What is the lowest common multiple of p(16) and 202?
404
Let y(i) = -4*i**3 + 57*i**2 - 190*i + 35. Calculate the least common multiple of 522 and y(7).
3654
Let h = 7265 - 7230. Suppose -4*r + 150 = r. Calculate the smallest common multiple of h and r.
210
Calculate the common denominator of 6405/882*21/30 and -109/7228.
21684
Find the common denominator of 1016/4*(429/(-144) - -3) and (-442)/132 + 3 - (-4)/(-6).
264
Suppose 5*k - f = -105 + 4191, -k = -5*f - 846. Calculate the lowest common multiple of k and 816.
816
Suppose 2*m = -59 + 89. Suppose -4*g = -3*f - 119, -m = -6*f + 9*f. Calculate the smallest common multiple of g and 65.
130
Let o(m) = m**2 + 3*m - 1. Suppose -14*n = -36*n + 198. Calculate the lowest common multiple of o(-5) and (n/(-6))/((-5 - 0)/10).
9
What is the common denominator of (319/(-80) + 3)/((-16)/16) and 57/352?
1760
Let k = -281385/88 - -3198. What is the common denominator of k and -17/1320?
1320
Let k be 6 - 0 - (-14)/7. Suppose 5*q + k*q = 780. Calculate the lowest common multiple of 10 and q.
60
Find the common denominator of 16/95 and (-5452)/22330 - (-9)/(-21).
1045
Let w = -2039 + 2072. Calculate the smallest common multiple of 627 and w.
627
Let i = 52271/6579 + -1/1462. Find the common denominator of i and (1/(-3))/(4/(-31)).
36
Suppose -a - v = -888, -383*a + 3*v = -384*a + 896. What is the lowest common multiple of 91 and a?
6188
Find the common denominator of 113/10 and 3/(-252)*-4*5/(2800/(-2952)).
490
Let s = 20000 + -19988. What is the least common multiple of s and 86?
516
Let g(v) = v**3 - 9*v**2 + 65*v - 730. Calculate the lowest common multiple of g(10) and 5450.
10900
Let b = 27851 + -222723/8. Calculate the common denominator of b and ((-78)/(-236))/(6/(-8)).
472
Suppose -252*i - 208*i + 642 = -139*i. What is the lowest common multiple of 5096 and i?
5096
Let x(u) = u**3 - 20*u**2 - 6*u - 48. Let q be x(20). Calculate the common denominator of 109*(1179/q - -7) and 11/80.
560
Let p(i) = -1 + 9 - 6*i + 3*i - 4*i. What is the lowest common multiple of (-154)/28*(-5 + 1) and p(-2)?
22
Suppose -y + 3*g + 94 = 7*g, -2*y - g + 209 = 0. Suppose 2*w = y + 44. What is the lowest common multiple of 6 and w?
150
Let z = -3407441/135 + 25240. Let k = -10/27 + 709/675. Find the common denominator of k and z.
675
Suppose 16*w - 11*w = f - 720, -4*w + 3048 = 4*f. What is the lowest common multiple of 906 and f?
4530
Calculate the lowest common multiple of 1120 and 7 - 33*21/(-18)*2.
3360
Let x be (-139140)/69555 - (-4)/2. Let b = x - 542509/46370. What is the common denominator of -1*2 + (-228)/88 and b?
110
What is the lowest common multiple of ((-318)/2)/((-416)/384 - -1) and 54?
5724
Suppose 25 - 775 = -3*t. Suppose 73*l - t = 68*l. Let f = l + -39. Calculate the smallest common multiple of 3 and f.
33
Let p(h) = h**3 + 26*h**2 - 41*h + 468. Calculate the lowest common multiple of 384 and p(-28).
384
Let g = -467603/100 - -4677. Let a = 48/371 - -34381/6678. What is the common denominator of a and g?
900
Let p = -18578522/147 - -126385. What is the common denominator of 155/42 and p?
294
Let m(d) = 4*d - 10. Let p be m(3). Calculate the common denominator of (-32)/36*-5 - p and 29/96.
288
Suppose 0 = 9*f - 147 - 150. Suppose 0 = -17*p + 14*p + 81. What is the least common multiple of p and f?
297
Let r(x) = x**3 - 2*x**2 - 7*x + 4. Let o be r(5). Let m be 2/(4/o*-2). Calculate the common denominator of (-74)/11 - (m + 7) and 63/8.
88
Suppose -2*x - 3*i = 5, 4*x - 4*i - 16 = 2*x. Suppose x*s - s + 2 = 0. Calculate the smallest common multiple of 12 and (17 + (1 - s))/2.
60
Let m = -102256 - -46015223/450. Calculate the common denominator of 47/285 and m.
8550
Suppose -6 = -6*j + 4*j. What is the lowest common multiple of (31 - 7)/(-1 - -2) and (-3*(2 - j) - 1) + 12?
168
Suppose -4*c + 25*q + 2540 = 20*q, 5*c = 2*q + 3158. What is the least common multiple of c and 490?
4410
Let y = 83045 + -50740464/611. What is the common denominator of y and -31/235?
3055
Let d = -27971/5 - -13482427/2410. Find the common denominator of 63/10 and d.
2410
Let j = -737 - -2245/3. Let r be ((-3)/(9/8))/((-4)/(-30)). What is the common denominator of j and (-1)/(-18)*(-996)/r?
30
Let m = -50636/34545 + -2/2303. Let c = 110527/20 - 5525. What is the common denominator of m and c?
60
Suppose -4*i = -140 + 52. Let d be ((-3)/2)/((-2)/4). Suppose d*j - 30 = 2*j. Calculate the least common multiple of j and i.
330
Suppose -13 = 3*f - 25, 2*f + 344 = i. What is the lowest common multiple of 608 and i?
6688
Let w be (-2664)/(-60)*(-2320)/24. What is the common denominator of ((-3)/(-80))/(29/w) and (-41)/(-42) + (-2)/(-3)?
140
Suppose 0 = o - 6*o - 2110. Let b = 429 + o. Calculate the lowest common multiple of b and 25.
175
Suppose 40 = -3*s + 22. Let g be 140/30 + 4/s. Cal