12. Let d(r) = 6*j(r) - 5*l(r). What is the lowest common multiple of 35 and d(3)?
420
Let c = 2801/176 + -235/16. Calculate the common denominator of c and 77/8276.
91036
Let r = -296 - -370. Let y(z) = 8*z**3 - z**2 - z + 1. Let h be y(-2). Let c = h + r. What is the smallest common multiple of 11 and c?
99
Suppose 8909 = 2*c + q - 0*q, 0 = 2*c - 3*q - 8897. Let h = c - 44573/10. Suppose 0 = y - 3*a + 22, 2*a + 5 = -3*a. Calculate the common denominator of h and y.
10
Calculate the common denominator of ((-84)/(-254))/(333/148) and -47/21.
2667
Let k be 6/27 - (-8607)/3510. Let y = 40/39 + k. Let q = -8951 - -53563/6. Calculate the common denominator of y and q.
30
Let a = 1/23876 + -465583/23876. Let t = 180385/1034772 + 1/4881. Calculate the common denominator of a and t.
212
Find the common denominator of (-43)/60 - (8/5 - 2) and (-4)/(-18) - 3131/(-558).
60
Let x be (-3)/(-9) - 1836622521/(-1514376). Let f = 1/21033 + x. Let t = 1204 - f. Find the common denominator of -125/126 and t.
504
Let i = -3266 - -486632/149. Let p = i + 3435/596. Calculate the common denominator of p and ((-34)/(-26)*-1)/(-1).
52
Let w = 18/193 - -3647/8492. What is the common denominator of 1/((-720)/(-298)) + 86/(-215) and w?
792
Calculate the smallest common multiple of 10 and (11 - 1)*(7 - -1*(-195)/(-5)).
460
Let i(c) = 28*c + 50. Let f(g) = g + 24. Let v be f(-19). What is the smallest common multiple of 152 and i(v)?
760
Let g be ((-31761)/(-280))/(10/9 - 1). Let l = g - 7138/7. Let s = -180501/20 - -9023. Find the common denominator of l and s.
40
Suppose 2*n - 16 = s, 0 = 5*n - s - 31 - 12. Let u = -40 - -60. Suppose -5*j - u = -7*j. What is the least common multiple of j and n?
90
Suppose 3*i = -3*j + 195, 0*i - 69 = -i - 3*j. Calculate the smallest common multiple of i and (225/2 + 3)*(-112)/(-168).
693
Let p = -663922/45 + 14753. Let y = -484064/15 + 32275. What is the common denominator of p and y?
45
Let x = 9027 - 8988. What is the least common multiple of x and 1302?
16926
Calculate the common denominator of ((-22)/165)/((-8)/235) and 85/6508.
19524
Let f be ((832/1680)/((-4)/(-6)))/(-1). Let x = -1531/1260 - f. Calculate the common denominator of x and (33/28)/3 + 0.
252
Suppose -5*t = -31 + 6. Let v(i) = -i**3 + 5*i**2 - i - 3. Let a(m) = 13*m + 56. Let j be a(-4). Calculate the lowest common multiple of v(j) and t.
45
What is the smallest common multiple of (-708)/(-10) - 6592/(-2060) and 5?
370
Calculate the lowest common multiple of 117 and (-158 - -53)*(-2)/5.
1638
Calculate the common denominator of -9/1460 and (-103)/(-18) - 154/(-924).
13140
Suppose 0 = 3*w, -3*m - 5*w = -6*w - 45. Suppose 0 = m*x - 3*x - 216. What is the least common multiple of 72 and x?
72
Let t = -238539 + 28385914/119. Let f = t - -56/51. Let j = 5/661 + -68143/7932. Calculate the common denominator of j and f.
84
Let p = -666348045525/42869948 - 384/974317. Let k = p + 15545. Calculate the common denominator of 87/68 and k.
748
Let m be (3/(54/71541))/((-2)/(-4)). Let z = m - 262397/33. Calculate the common denominator of 19/6 and z.
66
Suppose -3928 = -38*w - 736. Calculate the lowest common multiple of 474 and w.
6636
Let y(q) = -q**3 - 27*q**2 - 40*q - 62. What is the lowest common multiple of 12 and y(-29)?
8340
What is the smallest common multiple of 420 and (-4392)/610*(-280)/6?
1680
What is the lowest common multiple of 12 and (-14)/(513/4712 - 2/16)?
2604
Suppose -323 + 179 = -2*n - 6*n. What is the smallest common multiple of n and (2/(-1))/2 + 13?
36
Let n be 30 - -2*(-1)/(-1). What is the common denominator of 29541/6192 + (-4)/48 and 180/n - (-2)/(-8)?
16
Suppose 0 = -5*b - n + 135, 3*b - 132 = -b + 4*n. Let o = 174 - 159. Let v(z) = -z**2 + 17*z + 6. Calculate the least common multiple of v(o) and b.
252
Let w(g) = -16*g**2 + 3. Let z be w(3). Let f = z - -155. Calculate the lowest common multiple of f and 20.
140
Let y = 66667/44 - 6079/4. Find the common denominator of y and ((-445)/50 + 5)/((-8)/(-10)).
88
Suppose -3*a = -5*h - 47, -3*a + 8*a - 4*h = 87. Suppose -9*f - a = -91. What is the lowest common multiple of (9 - f)/((-1)/(-30)*2) and 18?
90
Find the common denominator of -65/4 and (-1)/2 - (-374)/572 - 1389/6409.
1972
Let y be (-1 - (-3)/2)*(2 + -2). Let m(t) be the second derivative of t**5/20 + t**4/12 + 33*t**2/2 - 9*t. What is the least common multiple of m(y) and 30?
330
Suppose 0 = -6*n + 103 - 79. What is the common denominator of n + (3 - 3) + 25/45 and 43/18?
18
Let r = 7030 - 6370. What is the smallest common multiple of 120 and r?
1320
Let h(j) = 4*j**2 + 4*j + 4. Let q be h(-1). Let i be q*((-288)/(-1240) - 2/10). Let n = -1331/496 - i. Find the common denominator of n and -3/4.
16
What is the common denominator of 7/108 and 138/(-5292)*-7 + (-3)/9?
756
Suppose 2*g = -5*f - 2*g + 36537, -36547 = -5*f + g. Let x = -4870 + f. Let c = 48831/20 - x. Find the common denominator of c and -61/10.
20
Suppose n + 15 = 2*r, 2*r = 7*n - 5*n + 30. What is the lowest common multiple of (n + -3)/(2*(-5)/25) and 45?
45
Let r = -21937 + 21958. Calculate the least common multiple of 49 and r.
147
Let s(p) = -20*p**3 - 101*p**2 - 8*p - 5. Let y = -3 + 7. Calculate the least common multiple of s(-5) and (-16)/(-12)*6/y.
10
What is the smallest common multiple of 234 and 3 + 759/15 + (-16)/10?
468
Calculate the common denominator of ((-2676)/(-184) + -9)*13/3003 and 51/1288.
14168
Let j be 0/((3/4)/(33/88)). Suppose j = 2*f + 8, -6*t + t = 2*f - 27. What is the smallest common multiple of 54 and t?
378
Let a be (-115)/((-111)/27 + 4). Let g be 0 + 2/13 + a/117. Calculate the least common multiple of (-4 - (-102)/27) + 299/g and 21.
231
What is the least common multiple of (221 - 5861)*(-3)/(30/4) and 16?
2256
Suppose -264*l - 18 = -265*l - 4*i, 3*i = -4*l + 59. Calculate the least common multiple of l and (-5)/(-4)*(-32)/(-1).
280
Let u be (14/(-11981))/((-1500858968724)/500286311482 + 3). Let r = -29/14161542 - u. Let g = -17053 - r. Find the common denominator of -83/4 and g.
116
Let a(x) = 3*x**2 - 26*x + 46. Calculate the smallest common multiple of a(2) and 648.
648
Let o = 2181699 - 98195731/45. Let t = 2174/5 + o. Let q = -2/391 + 4309/1564. What is the common denominator of q and t?
36
Suppose -101*d = -98*d - 483. What is the lowest common multiple of 98 and d?
2254
Let k = -302322 - -474645449/1570. What is the common denominator of k and 28/15?
4710
Let r be ((-3)/3)/((-8)/8). Calculate the common denominator of (((-51)/(-15))/r)/((-24)/20) and -73/9.
18
What is the common denominator of (-168)/720*1028/(-56) - (-1)/(-3) and -95/314?
3140
Suppose -2243*h = -2246*h - 5*d - 2, -8 = 2*h + 5*d. Calculate the smallest common multiple of 6942 and h.
6942
Let y = -760135771607/2148 - -353880704. Let j = -8/179 + y. What is the common denominator of j and -4*(2 + (-980)/432)?
108
Suppose -y - y + 5*w + 97 = 0, -67 = -2*y - 5*w. Suppose -y = -5*h - 9*k + 11*k, 4*h - 2*k - 32 = 0. Calculate the lowest common multiple of 6 and h.
18
Suppose 857086 - 255086 = 148*d - 23*d. What is the lowest common multiple of 6880 and d?
48160
Let r(o) = -o**3 + 2*o**2 + o - 1. Let q be r(2). Let h be (-62)/4 + q + 16/(-32). What is the common denominator of -1*2/5 + (-166)/h and -79/21?
21
Let d = -18638 - -18647. Let u(r) = 315*r**2 - r. What is the smallest common multiple of d and u(1)?
2826
Let m = -8805 + 8817. Calculate the lowest common multiple of (-16)/(-20)*(-90)/(-3) and m.
24
Let h = -5225/1248 + 127/32. Find the common denominator of -151/936 and h.
936
Find the common denominator of 1*-1 - (2074/1224 + 1) and -49/2024.
18216
Let x = 31137/10 + -3122. Let o = 223571955793/2211 - 101118030. Let r = 1/402 - o. What is the common denominator of r and x?
110
Suppose 0 = -2*o + 5*x - 21, 0*o + 3*o - 2*x + 4 = 0. Let p = -5 - o. Let g = 3 - p. What is the smallest common multiple of 1 and g?
10
Let w(s) = s**2 - 4*s + 1. Let m be w(4). Let p = -29/6 + 23/3. Calculate the common denominator of (m/(-4))/(6/412) and p.
6
Calculate the least common multiple of ((-2)/(-10) + 15979/(-95))*-1 and 83.
13944
Let h = -18289 + 18509. Calculate the least common multiple of h and 120.
1320
Suppose -40203 = 95*m - 12178. Let i be (-242)/(-21)*51/(-2). Let d = m - i. 