42
Let w = -20 - -67. Let b be 2 - w - (4 - 3)/1. What is the common denominator of b/(-5)*((-33)/(-6) - 6) and 35/4?
20
Let c be 19487/1512 - 21/(-63). Let y = 370/27 - c. What is the common denominator of y and 71/24?
168
Suppose 4*j - 7 = -4*a - 15, -3*a = -2*j + 11. What is the least common multiple of 12 and 2 + (1 - 41)*j/(-2)?
132
Let f(h) = 24*h + 1. What is the least common multiple of (5 - -9)*70/245 and f(1)?
100
Let l be 132448/(-48) + (2/6)/1. Let j = -16499/6 - l. Calculate the common denominator of 10/131 and j.
786
Suppose 0 = -4*r - 4*a - 24, -3*a + 33 - 9 = -4*r. What is the common denominator of -2*(-11)/96*(-21 - r) and 105/(-90)*(-3)/10?
80
Suppose -2*y + 2*r + 60 = 0, 47 = y + r + 7. Suppose -39*d = -26*d - 455. What is the lowest common multiple of y and d?
35
Let z(u) = -u**3 + 2*u**2 - u - 2. Let v be z(-4). Find the common denominator of (-28)/154 - (-629)/132 and ((-1)/6*v)/1.
12
What is the least common multiple of (-2)/(-4) + -15 + (-4308)/(-24) and 54?
2970
Let j = 1668 - 8372/5. What is the common denominator of ((-605)/(-847))/((-8)/42) and j?
20
Let h(t) = 3*t**2 + 3*t + 99. Let y be h(0). Suppose y*c - 30 = 98*c. Let p(b) = 7*b - 9. What is the smallest common multiple of p(6) and c?
330
Suppose -7899 = 4*l + g, 5948 = -3*l + 10*g - 6*g. What is the common denominator of -16/5 and (9512/l - -6) + -1?
1235
Let a = 2554085/56 - 45607. Find the common denominator of -71/364 and a.
728
Suppose 0 = -15*n + 14*n + 14. Let t = -1 - n. Let b = 45 + t. What is the smallest common multiple of b and 20?
60
Let u = 826659/80 + -10332. Find the common denominator of u and 71/1248.
6240
Let j(g) = 17*g**2 - 57*g - 250. What is the least common multiple of 154 and j(-6)?
4928
Suppose 6*h - 3139 = -5*c, -5*h - 498 - 2072 = -4*c. Calculate the smallest common multiple of c and 25.
3175
Suppose -1141*t + 51 = -1138*t. Let h(g) = 2*g**2 - 15*g - 51. What is the least common multiple of h(t) and 10?
1360
Suppose 3*s + 4*w - 922 = 0, -3*w + 1526 = 5*s - 7*w. Suppose -140*h = -134*h - 18. What is the lowest common multiple of s and h?
306
Calculate the common denominator of -62/6695 and (-486)/1053 + (-3036)/(-1170).
20085
Let d = -41513012 - -67126542836/1617. Let b = d - 15/539. What is the common denominator of (4 - (-125)/(-15))/3 and b?
63
Find the common denominator of 980/(-3600)*5 + (-3)/(-2) and -9/268.
2412
Let v be (80 + -719)*1/3. What is the least common multiple of 0 - v/18 - 31/(-186) and 20?
60
Suppose 9 = 2*k - 4*k + t, 4*t + 20 = 0. Let j(y) = y**3 + 4*y**2 - 21*y + 16. Calculate the least common multiple of j(k) and 4/(-14) - 1040/(-14).
592
Let c = 6408/685 - 15/274. What is the common denominator of c and -43/18334?
91670
Let k be ((-4)/6)/((-5)/45*2). Suppose -3*b + 446 = 4*l, -4*b - l + k*l = -580. Find the common denominator of 71/40 and 57/760*(b/(-6) - 0).
40
Calculate the common denominator of 47/100 and (15/18)/(-5) - 34384/(-157920).
4700
Suppose -512*f - 2912 = -520*f. Calculate the least common multiple of f and 84.
1092
What is the lowest common multiple of (-2 - 430/(-8))*(0/(-19) + 4) and 2760?
8280
Let v be (-25)/(-570)*(-16)/30. Let g = v - 4328/171. Find the common denominator of -3 + (150/35 - -3) and g.
21
Let q be -3*(-8 - -7)/(-1 - -2). Suppose -9*c + 216 = -q*c. Suppose -f + 7 - 10 = z, 4*f = -2*z - 4. What is the least common multiple of f and c?
36
Suppose 4*c - 244 = -2*p, 19 = -2*p + 2*c + 233. Suppose 3*a - 28 = -4*s, -5*a + 38 = -48*s + 46*s. Calculate the lowest common multiple of a and p.
112
Let y(r) be the third derivative of -r**5/30 - 7*r**4/8 + 7*r**3/2 + r**2 - 23. Calculate the smallest common multiple of y(-11) and 0 + -3 - (-1 + -5).
30
Suppose -3*z = 23*z - 3250. Suppose -4 = -129*n + z*n. Calculate the lowest common multiple of 45 and n.
45
Suppose -4*b - 90 = 354. Let y = b - -112. Calculate the lowest common multiple of (2/(-4))/(2/(-20)) and y.
5
Let p(i) = -i**2 - 25*i + 22. Let b be p(-21). Calculate the common denominator of (16/24)/((-12)/(-38)) and b/(-30)*15/(-6).
18
Find the common denominator of -19 - 1820042/(-95082) - ((-4)/(-26) + 0) and -49/1590.
36570
Let t = -11/12877 - -2820833/901390. Let z = 6883/2030 - t. Calculate the common denominator of z and -123/20.
580
Let q(b) = 5344*b + 122932. What is the smallest common multiple of 0 - 3/((-3)/155) and q(-23)?
620
Let g be 24/(-15) - (-2)/(-5). Calculate the lowest common multiple of (3/g + 1)/(1/(-60)) and 36.
180
Let b(p) = p**3 - 7*p**2 - 9*p + 15. Let q be b(8). Let h be (-2)/(14/(-6)*2/q). Calculate the least common multiple of 24 and (-1)/(h/(-93)) - 1.
120
Let b(k) = 6*k**2 - 3*k - 9. Let c be b(-5). Calculate the lowest common multiple of 44 and c/30*5 - -2.
308
Let j = 560/17 + -4867/204. Let u(v) = -v**2 + 6*v + 9. Let p be u(7). Calculate the common denominator of j and (13375/10)/5*p/30.
12
Find the common denominator of 58/341 and (-46331)/2598 - (4/22 + (-106)/(-22)).
2046
Let n be (11092/(-1929))/(17334/17337 - 1). Let z = -33230 + n. Let f = 25057/19290 - z. What is the common denominator of -7/4 and f?
20
Suppose 23*l - 4278 = -23*l. Suppose -91*o - 90 = -l*o. What is the least common multiple of o and 75?
225
Suppose -3687*u + 11264 = -3623*u. What is the lowest common multiple of 803 and u?
12848
Let p = 12 + -4. Suppose 0*s - 29 = -3*q - s, -4*s - 12 = -4*q. What is the lowest common multiple of p and q*(3/12 - -2)?
72
Let k(h) = -554*h + 2858. Calculate the smallest common multiple of k(5) and 352.
352
Let h = -109 + 158. Let i(c) = -c**3 + 74*c**2 + 459*c - 7. Calculate the least common multiple of h and i(-6).
833
Let p = -18273 - -2046595/112. What is the common denominator of -69/40 and p?
560
Suppose 0 = 419*v - 417*v + x - 1022, 2566 = 5*v - 3*x. Calculate the lowest common multiple of v and 64.
512
What is the least common multiple of 1144 and (-1 - 61/5)*8180/(-1227)?
1144
Let c = -6022 + 48221/8. Calculate the common denominator of -16/73 and c.
584
Calculate the common denominator of 10/(-6)*((-8)/(-3) + 96057/(-35748)) and 59/8.
2648
Let x be -22 + 20 - (-6707)/26796565*14859. Let f = x + -2/301085. Let z = f + -10803/1780. Calculate the common denominator of z and 133/48.
240
Let j = 4394857/284 + -15475. Find the common denominator of j and 7/9.
2556
Suppose -g + 41 = 3*g + u, 20 = 5*g - 5*u. Calculate the least common multiple of ((-1274)/(-28) - 17)/((-6)/(-20)) and g.
855
Let y(n) = -967*n - 8. Let b be y(6). Let t = -69811/12 - b. What is the common denominator of (1364 + -1363)/(43/801 - (-2)/(-9)) and t?
60
Let w(k) = -25*k + 3 + 4*k**3 - 9*k**2 - 5*k**3 + 14*k. Let z be w(-8). Let h = 3 + z. Calculate the least common multiple of 15 and h.
30
Suppose 4*a - 33 = -w, 60 - 101 = -4*w - 3*a. What is the smallest common multiple of w and 14?
70
Suppose -5*q = -0*q - l - 32, 2*l = 6. Let v(s) = -11*s - 20. Let b be v(-6). Suppose -b = -5*f - 11. What is the lowest common multiple of f and q?
7
What is the common denominator of 97/280 and -632 + 640 + 1 + (-389)/30?
840
Let x(y) = -10*y**2 - 396*y - 42. Calculate the lowest common multiple of x(-39) and 240.
960
Suppose -188 = -2*c + d, 4*c - 386 = -2*d - 42. Calculate the smallest common multiple of 154 and c.
6930
Let c = 883075215/1712 + -515815. Find the common denominator of c and -89/214.
1712
Let m(n) = 40*n**3 + 10*n - 39*n**3 + n - 7 + 4*n + 11*n**2. Let k be m(-7). Calculate the common denominator of (-1)/2*k/30 and 13/3.
15
What is the common denominator of 665/(-100)*(-73)/511 and -97/3258?
32580
Find the common denominator of 65/108 and 1846/(-1512) - (156/(-91))/6.
108
Suppose -7*x - 9441 = 18300. Let u = x - -47681/12. Calculate the common denominator of -70/3 and u.
12
Suppose 0 = 5*s - 3*u - 147, -s + 0*u + 34 = 4*u. Let m = -1573 - -2266. Let j = m - 673. What is the least common multiple of j and s?
60
Let a(b) = 7*b**3 - 324*b**2 + 105*b + 2. What is the least common multiple of 120 and a(46)?
600
Let m(u) = 12*u**2 - 5*u + 7. Let f be m(2). Suppose 3*x - 4 = -2*g + f, -6 = -2*x. Calculate the least common multiple of 4*1*7/2 and g.
140
Let a be 714/20*(868/(-105) + 8). Let s = -4833/400 - a. What is the common denominator of -123/40 and s?
80
Let l = 4293 + -1125. Calculate the common denominator o