-j**2 - 12*j - 9. Let w be n(-12). Let o(c) = -c - 2. Let i be o(w). Find the common denominator of 1/32 and (0 - 11)*i/126.
288
Let i(y) = 3*y**2 - 3. Let o(a) = a**3 - 8*a**2 - 15*a + 16. Let n be o(10). Suppose 50*b - n = 48*b. What is the smallest common multiple of i(3) and b?
264
Let p = -127527/22 + 5793. What is the common denominator of 163/180 and p?
1980
Let f = -270 + 2731/10. What is the common denominator of f and (-935768)/417123 + 22/(-14) + 2?
270
Let x = -31141 - -35894. Calculate the smallest common multiple of x and 392.
38024
Let m = -2832 - -34007/12. Let u = -56 - -44. What is the common denominator of (-106)/(-8)*2*(-6)/u and m?
12
Let v = 321428629 - 530999930961/1652. Let j = v - 75613073/817740. Let g = 3/385 - j. Calculate the common denominator of g and 5/9.
9
Suppose 7698 = 112*i - 1710. What is the lowest common multiple of 525 and i?
2100
Suppose -3*p + 5691 = -s, 21*s - 1887 = -p + 18*s. Calculate the least common multiple of 12 and p.
1896
Suppose 3*k = p + 98, -2*k + 9 = 2*p - 59. Let x = -97976 + 97988. What is the least common multiple of k and x?
132
Let s(i) = 23*i**2 + 2*i - 2. Calculate the smallest common multiple of 16/2*43/((-4816)/(-196)) and s(-2).
602
Let x = 422/299 + -14745/29302. What is the common denominator of x and 143/1218?
8526
Let k be (-20)/35 + 117/7. Let x = -102/7 + k. Let j = -20/7 + x. What is the common denominator of 49/27 and j?
189
Let y be 1194/(-9) + 6/9. What is the common denominator of -161/66 and 10/5*47/y?
66
Let l be ((2 - 3)/5)/(12/1501233). Let s = -1086149/80 - l. Let q = s - 11438. Find the common denominator of 97/22 and q.
176
Find the common denominator of -3 + 548/168 + 6/(-12) and (1/(-7))/((-48)/708).
84
Let c = 417/55 + -55063/6820. What is the common denominator of -52/279 and c?
1116
Suppose 5*z - 9*z + 7 = -37. Calculate the lowest common multiple of 469 and z.
5159
Suppose -172*v = j - 177*v - 351, j - 2*v - 360 = 0. Calculate the least common multiple of 84 and j.
5124
Let j(v) = 3*v**2 - 16*v - 23. Let c(f) = -f**2. Let u(d) = -4*c(d) - j(d). What is the smallest common multiple of u(-17) and 32?
160
Let q be -1*(2 - 3)*3. Let j be -5*((-52)/(-20) + -3) + q. Suppose 7 = -l - j*w, -4*l + l - w = -7. What is the smallest common multiple of 4 and l?
12
Calculate the common denominator of (-4123)/(-1960) + 3/9*-6 and -89/460.
6440
Let d be 2/(-378608)*(-183334684)/195. Let j = 4/23663 + d. Calculate the common denominator of j and -41/81.
810
Let b = -2627 - -2807. Calculate the least common multiple of 72 and b.
360
Let a(u) = 2*u**3 - 3*u**2 + 141*u - 1016. What is the least common multiple of 136 and a(7)?
2040
Find the common denominator of (-446)/1440 - (3185/(-117) - -27) and (-231)/(-48) - 1 - -2.
80
Suppose 0 = 5*o - 6*o - 116. Let g be 1/(-2) + o/8. Find the common denominator of 30/g*46/44 and -87/4.
44
Let d(c) = c**3 + 146. Suppose 0 = -24*o + 189 + 3. Calculate the least common multiple of o and d(0).
584
Let y be (-22)/30*-11 + 28/(-4). Let b = -1234759/57165 - 1/11433. Let p = y - b. Find the common denominator of p and 34/11.
33
Suppose 16*c = 3*n + 19*c - 57, 3*n - 54 = -2*c. Calculate the lowest common multiple of 6968 and n.
13936
Let i = -7182 + 71751/10. What is the common denominator of -71/346 and i?
1730
Calculate the common denominator of 52/261 and 5 - ((-5)/((-1680)/(-7)))/(24/(-5854)).
16704
Let n = -69233 - -6092579/88. Calculate the common denominator of n and (66/(-64))/((-24)/(-20)).
704
What is the common denominator of (-56 - (-6 + 11))/(0/(-2) + -1308) and 18/109?
1308
Let r(y) = 2*y**3 - 26*y**2 + 24*y + 13. Calculate the smallest common multiple of r(13) and 75.
975
Let m = -43685/11044 + 1/1004. Calculate the common denominator of m and 43/296.
3256
Let m(f) be the first derivative of 85*f**2/2 - 58*f + 50. Calculate the least common multiple of 36 and m(2).
1008
Let l be (-2598400)/866144 - (-4 - -1). Let p = l - -1651059/757876. Calculate the common denominator of 57/44 and p.
308
Suppose 6734*c + 235 = 6781*c. What is the smallest common multiple of 566 and c?
2830
Let d = -9 - 69. Let w = d + 76. Find the common denominator of 61/10 and (477/(-216))/(1/w).
60
Let a be -2*((-32923)/(-35772) + (-2)/(-16)). Let c = a - -2/271. Find the common denominator of -61/6 and c.
12
Find the common denominator of 37/2576 and (1287/539)/((-760)/(-266)).
12880
What is the common denominator of ((-50)/(-450))/((-100)/1122) and 107/18?
450
Let q(w) = w + 7. What is the lowest common multiple of q(0) and (78 - 815)*11/(-121)?
469
Let i(m) = 2*m**3 + 104*m**2 + 100*m - 99. Calculate the least common multiple of 1364 and i(-51).
4092
Suppose 5891 - 5611 = 70*b. Calculate the smallest common multiple of b and 9414/21 - 4/14.
448
Let m(d) = -d**3 - 8*d**2 + 17*d + 24. Let x be m(-11). Suppose 206 = r + x. Suppose -r*w + 68 = -4*w. What is the lowest common multiple of 22 and w?
374
Calculate the common denominator of (1918/21)/((-9)/15 - 1793416/40) and -67/14.
470778
Let i be ((-51)/4)/((-150)/(-400)). Let l = -14 - i. What is the smallest common multiple of 3*9 - -1*1 and l?
140
Let j = 2/92565 - -598583/185130. Let w(l) = 998*l - 64. Let q be w(7). Let v = q - 124637/18. Find the common denominator of j and v.
90
Let d = 904 + -455. Let j = d - 442. What is the lowest common multiple of (5/(5/(-62)))/(-2) and j?
217
Let f(w) = -w**3 + 39*w**2 - 3*w + 287. Calculate the lowest common multiple of 102 and f(39).
510
Let g = 9487176 - 237127008/25. Let n = -32381131/15450 + g. Calculate the common denominator of n and -67/4.
1236
Suppose 3*s = -10*f + 7*f, 0 = 4*s - 4*f - 32. Calculate the lowest common multiple of s and 8418.
16836
Let y be (16/(-6))/4 + 429188/643791. Let w = 37125581/32189550 + y. Find the common denominator of -115/18 and w.
450
Let y = -309 - -764. Suppose y = 13*f - 0. What is the lowest common multiple of f and 60?
420
Suppose -5*c + 56 = d, 0 = -5*c + 4*c + 5*d + 6. Suppose -7*g + c*g - 3*h - 25 = 0, -5*h + 1 = 4*g. Calculate the lowest common multiple of 32 and g.
32
Suppose 18*z = -16*z - 168*z + 43632. What is the least common multiple of 1056 and z?
9504
Suppose -74*t = -81*t + 196. Calculate the lowest common multiple of 14 and t.
28
Let m be 109792/128 - 6/8. Let o = m + -5125/6. Find the common denominator of 43 and o.
6
Let g = 36221/520 + -900/13. Let c(y) = -3*y - 1. Let z be c(-3). Find the common denominator of g and ((-66)/z)/((-28)/21).
80
Let o = 2552 - 61253/24. Let w be 230312/96*(-1)/(-2042). Let q = w - -2/15315. Find the common denominator of q and o.
120
Let z = -32514011 + 31115903774/957. Let k = -166/29 - z. What is the common denominator of 31/30 and k?
330
Let z = -393363/136464086 - 1/79018. Find the common denominator of z and 31/1570.
17270
Let x = 49 + -44. Let g be (-9562)/(-24) - (x/(-1))/20. Let w = g + -392. What is the common denominator of 7/9 and w?
9
Let k be (278418/60 - 3) + (1 - 5). Let i be (3 + -2 + 0)/(3/(-13935)). Let a = i + k. Calculate the common denominator of a and -2/3.
30
Suppose -4*k + 34 = -0*x + 5*x, 0 = -3*x - 5*k + 23. What is the smallest common multiple of x and 990?
990
Let n = -581 + 588. Find the common denominator of n/(-56) - 65/680 and 37/10.
340
Let x(q) = q**2 + 6*q + 6. Let y = 52 + -47. Suppose -22 = 6*k - 2*k - 2*m, -17 = 2*k + y*m. What is the least common multiple of 1 and x(k)?
6
Suppose -3*v = 2*b - 725, 3*v - 5*v = 5*b - 1840. Calculate the least common multiple of 5 and b.
370
Let n = 31 + 86. Let q = -108 + n. Suppose 2*c = -5*r + 58, -4*r = -3*c + c - 32. Calculate the least common multiple of r and q.
90
Suppose 504*a - 500*a = -40. What is the common denominator of ((-1605)/(-75))/(12/a) and (-261)/30*(-2)/6?
30
Let y = 148 + -165. What is the common denominator of (y + (-17 - -11))/((-110)/6) and -73/30?
330
Suppose -8 = 4*g - 4*q, 2*g + 2 = 4*q - 12. Suppose 0 = -g*d - 78 - 30. Find the common denominator of d and 84/(-16) + 4 + -9.
4
Suppose -108 = 11*o + 200. Calculate the least common multiple of 274 and ((-9)/(-6))/((-3)/o).
1918
Suppose 3*k + 5*i - 185 = 0, k + i = 16 + 45. Suppose 3*w - 2*s - 61 = 0, 34*w + 5*s - 60 = 33*w. What is the least common multiple of k and w?
300
Let p(t) = t**2 + 58*t + 5. Let g be p(4). Suppose