58 - 372. Let j(v) = 8*v**3 + 2*v**2 - 2*v. What is the lowest common multiple of c and j(1)?
344
Let z be (8 + 131271/(-16408))*1/6. Let w = z - 151183/70320. Find the common denominator of w and -19/68.
340
Let n be 4/(50 - 2)*(-3)/(-317). Let y = 1745/1902 - n. What is the common denominator of y and ((-53)/20 - -1) + 0?
60
Let k = 1532 + -1571. Find the common denominator of -91/16 and k.
16
Calculate the lowest common multiple of 12/(-18) - (10682/21)/(-7) and 108.
216
Calculate the smallest common multiple of (-1448)/(-1)*16/((-416)/(-39)) and 4.
2172
Calculate the smallest common multiple of 6 and 4*(-1509)/(-48) + 5*4/80.
126
Let k = -46415/2 - -14458217/623. What is the common denominator of k and 35/18?
11214
Let q = 4459467 - 16500027783/3700. Find the common denominator of -33/740 and q.
3700
Let s(d) = 2*d**2 - 60*d + 292. What is the lowest common multiple of 105 and s(32)?
420
Let g(j) = -39*j - 80. Let w be g(-2). Calculate the smallest common multiple of 45 and w/(-3) - (-1247)/87.
45
Let w(a) = 52*a - 10. Suppose -20*t = -3*m + 167, 148*t + 46 = 2*m + 144*t. Calculate the smallest common multiple of w(4) and m.
198
Let w = -387364131/992 + 390488. Calculate the common denominator of w and 13/868.
6944
Suppose 222*j - 304 = 221*j. Calculate the common denominator of -46/11 and -5 + j/(-140) - (-6)/(-15).
77
Let l be (-176)/(-64) + 6/(-8). Suppose -4*w + 3*c + 5252 = 0, c = -w + l*c + 1314. What is the common denominator of (w/(-60))/((-1)/(-1)) and -55/14?
42
Suppose 1607 = 5*x + 5*u - 253, -3*x = -5*u - 1116. Find the common denominator of 7/45 and (-3038)/x*(-2)/(-84).
180
Let y be (-1)/(-3)*11*3. Let h(b) = 17*b - 422. Let k be h(25). Suppose -j = k - y. Calculate the smallest common multiple of 7 and j.
56
Let k(s) = -2*s**3 + s**2 - 1. Let j be k(-1). Suppose -4*o = 2*u - 2, 2*u - 8 = -3*o + j*o. What is the common denominator of 71/6 and (-8)/o + 351/(-60)?
60
Let n = 558 + -2321/4. Calculate the common denominator of (-1470)/(-686)*105/24 and n.
8
Let z(r) = r. Let p(t) = 56*t + 14. Let q(b) = -p(b) + 70*z(b). Let h = -569 - -6252/11. What is the common denominator of q(3) and h?
11
Suppose 76*y - 154*y - 5296 = -86*y. Calculate the smallest common multiple of y and 14.
4634
Let k = -7074 + 1294559/183. Calculate the common denominator of k and 2 + (-20)/((-2400)/770).
732
Let q = 2647/147730 - -1/935. What is the common denominator of q and -125/1896?
1896
Let b = -25815 + 1290813/50. Let p = b - -1539/350. Let i = p - 90/7. Find the common denominator of i and 3/4.
20
Let m(n) = 21*n + 217. Let x(w) = -4*w - 43. Let b(d) = -2*m(d) - 11*x(d). What is the lowest common multiple of 28 and b(-14)?
308
What is the common denominator of 137/222 and (1 - (-371)/(-370))*14868/4543?
12210
Let s = -904 - -1675. Suppose 5*l + 3*t = s, -l + 5*t = 4*l - 795. Let h = l + -145. What is the smallest common multiple of h and 48?
528
Let i = -1366 + 733. Let w = -615 - i. What is the least common multiple of 2 and w?
18
Calculate the common denominator of (-2 - 0)/((-64)/(-186)) and 370/120*-3 - (-5 - -6).
16
Let y = 1 - 2. Let b = 551 + -537. Calculate the smallest common multiple of b and 354/12 - y/2.
210
Let m(g) = 3*g - 91. Let x be (-1 + 0 + 2)/(7/217). Let j be m(x). What is the common denominator of 22/21 and -3 + (j/9)/((-9)/(-783))?
21
Let g = 130079751/26095820 - -3017/17282. Let k = g + -33/302. Find the common denominator of 3/26 and k.
260
Let q be (158 - -1) + (0 - 1). Let t be (-6)/(-51) - (-2573)/527. Suppose 0 = t*f - 117 - q. What is the smallest common multiple of f and 2?
110
Suppose -3*h + 57*o = 60*o - 261, -2*o - 330 = -4*h. Calculate the least common multiple of 72 and 8*(-3)/h*-7.
72
What is the common denominator of (-485)/220 + (-9)/(99/2)*-3 and -32/209?
836
Suppose 5*u - 2*o - o - 23511 = 0, 5*o - 28153 = -6*u. What is the least common multiple of 2088 and u?
18792
Suppose -3*c - 6*o = -o - 209, -2*c = -5*o - 131. Calculate the common denominator of ((-4)/6)/(c/(-12) + -5) and -75/22.
176
Let y be ((-129)/(-3) - 0)/(-1) - 0. Let z = y + 71. Suppose -23*l + z*l = 10. What is the smallest common multiple of 98 and l?
98
Suppose -m + 25 - 29 = 0, 45 = -n - m. Find the common denominator of n/(-36) + (-41)/(-123) and 121/18.
36
Let j be (2 - 0)*5/((-60)/(-6)). Suppose -5*m = 2*m + 28. Calculate the smallest common multiple of ((-20)/m*1)/(j/3) and 9.
45
Let a = 574 - 566. Let i(l) = l**3 - 8*l**2 + 4*l - 12. Calculate the smallest common multiple of 5 and i(a).
20
Let z(u) = 35*u**3 + 4*u**2 + 3*u + 1. Let k be z(-1). Calculate the common denominator of (k/110)/((-6)/(-166)) - -3 and 69/26.
130
Let d = -3 - -12. Suppose 8*o - 15 = d. Suppose -o*q + k + 21 = 0, 3*q + 3*k = q + 25. What is the smallest common multiple of 114 and q?
456
Let p be ((-810)/75)/18 + (-3)/(-5). Calculate the common denominator of -83/24 and 167/(-1683) + p + 10/(-55).
1224
What is the lowest common multiple of 5 and 125174/22 - (-495)/1815?
5690
Let h = 69 + -44. Let m = 33 - h. Suppose -3*f + 12*f = 18. What is the smallest common multiple of m and f?
8
What is the common denominator of 41/102 and 68679/7956 + (-10 - 0)?
204
Suppose 240*a + 371 + 847 = 327*a. Let m = 14 - 8. Calculate the least common multiple of m and a.
42
Let l(d) be the second derivative of 8*d**3 + 7*d**2 - 18*d. Let r be l(6). Let q = r - 645/2. What is the common denominator of -103/18 and q?
18
Suppose -7*f - 450 = 23*f. What is the smallest common multiple of 45/(-18)*((-72)/f)/(-2) and 78?
78
Suppose -3*x + 3744 = 13*x. Let y = -180 + x. What is the least common multiple of y and 27?
54
Let a be 50 + (2/4)/(5/10). Suppose -a*t + 57*t = 324. What is the least common multiple of 90 and t?
270
Let g be (-2 + 2)*((-15)/(-9))/5. Let h be (g + 2)/((-7)/(-672)*4). Find the common denominator of 23/12 and ((-14)/54)/(4/h).
36
Let k = -6 - -46. What is the lowest common multiple of k and 36/(-14)*(6 + 6 + (-1196)/39)?
240
Suppose -38*b + 19488 = -45*b. Let o = -16817/6 - b. What is the common denominator of -79/20 and o?
60
Suppose 149 = 3*u + 143. Calculate the lowest common multiple of 10/(-4) + 27914/68 and u.
408
Suppose 2 = 5*b - 2*k - 1, 3*k + 14 = -2*b. Let c(w) = 10*w**2 + w + 1. Let i = 1264 - 1250. What is the lowest common multiple of i and c(b)?
70
Let b = -8/229 + -12009/3664. What is the common denominator of 127/6 and b?
48
Let r be 2*3/((-3)/(87/(-2))). Let s = -83 + r. Suppose s*l - 9*l + 930 = 0. What is the smallest common multiple of l and 2?
186
Suppose 0 = -20*v - 174 - 115 + 49. Let z(d) = 3*d**2 + d - 4. Let b be z(-3). What is the common denominator of 4 + v*b/162 and -29/9?
27
Let c(y) = -y + 22. What is the smallest common multiple of ((-705)/(-9) + -45)*(-66)/(-4) and c(0)?
550
Let x = -82 - -146. Let w = 88 - x. What is the smallest common multiple of 12 and w?
24
Let v = -44612967/4286 + 10409. Find the common denominator of 107/20 and v.
42860
Let g = 314 - 140. Let r = 134066 + -134058. Calculate the smallest common multiple of g and r.
696
Let v = 2 - 0. What is the smallest common multiple of (3 - 4)/(4*6/(-48)) and v?
2
Suppose -9*o - 10*o = -3*o - 320. What is the smallest common multiple of 640 and o?
640
Suppose 11*m - 232 = -133. Suppose 13 = 2*t + 3*q, -5*q + 9*q - m = -t. What is the smallest common multiple of t and 8?
40
Let q(d) = d - 21. Let z be q(25). Suppose 0 = z*m + 5*t - 32 - 48, -m + 20 = 3*t. What is the lowest common multiple of 96 and m?
480
Find the common denominator of -11 + (8904/3136)/(61/237) and 85/4.
3416
Find the common denominator of (-20)/210*25*(-63)/28 and ((-10)/64)/((-2)/72).
56
Let z = 390/19 + -733/57. Let l = 954 + -20021/21. Calculate the common denominator of l and z.
21
Suppose -35*r + 186 = -36*r. Calculate the smallest common multiple of 6 and r/(-15) - 4/10.
12
Let u = -1623/2 + 788. Suppose -10 = -8*f - 82. What is the common denominator of ((-4)/((-192)/f))/(120/(-1504)) and u?
20
What is the lowest common multiple of 80/6*9/3 and (24/(-26))/(8*41/(-4264))?
120
Let l(d) = 18*d**2 + 88*d + 3. What is the smallest common multiple of l(-5) and 104?
104
Suppose -1 + 7 = 3*x. Suppose 0 = -0*n - 2*n - x. Find the common denominator of 2/(-18)*n*150/4 and -23/26.
78
Find the common denomi