) + (-1034)/240 and (-4)/((-52)/20 + 3) + (5096/240 - 5).
120
Let m(h) = 11*h**2 - 21*h - 230. What is the lowest common multiple of 870 and m(-5)?
4350
Let b(l) = l**2 + 3*l - 2. Let o(p) = p**3 - 10*p**2 - 36*p - 13. Let u be o(12). Let x = -143 - u. What is the lowest common multiple of b(3) and x?
112
Let r be ((-6)/15)/((-2)/20). Suppose 0 = x - 2*x, -r*o - x + 24 = 0. Suppose 0 = 8*m - 126*m + 1062. What is the lowest common multiple of o and m?
18
Suppose 0 = -5*z - 4*l + 641, 5*l - 383 + 1 = -3*z. Suppose -3*a = z - 531. What is the least common multiple of a and 1?
134
Suppose 0 = 23*a - 5855 + 565. Suppose 3*b + 2*w - 116 = 0, 0 = -5*b + 4*w - 22 + a. Calculate the least common multiple of 116 and b.
1160
Calculate the smallest common multiple of (7 - 4 - (-21)/1) + 54/9 and 50.
150
Calculate the common denominator of -58/45 and (-19 + (-220)/(-22))*22/(-240).
360
Let h = 17681 + -17225. What is the lowest common multiple of h and 78?
5928
Let w = -539 - -589. Let z = -5932 + 59377/10. What is the common denominator of 11/w + (-93)/(-310) and z?
50
Suppose -2*m + 447 + 468 = 5*f, 3*f + 5*m - 549 = 0. What is the least common multiple of 854 and f?
2562
Calculate the least common multiple of 13/((-130)/(-1500)) + 0 and 135.
1350
Let p = 254190 - 50837883/200. Find the common denominator of ((4/(-1) - 43)*1)/(-4) and p.
200
Suppose 2*l - 142 = -4*i, 6*i - 334 = -4*l + 8*i. Calculate the lowest common multiple of l and 141.
3807
Let m = -1540240/7 - -29251013/126. Let x = m + -12120. Find the common denominator of x and (-4)/(-108)*((-357)/(-6) + 0).
54
Suppose -96 = 5*p + 64. Let t(v) = 49*v**2. Let n be t(1). Let f = p + n. What is the common denominator of -33/5 and f?
5
Let d(b) = -39*b**3 + 4*b**2 + 58*b + 106. What is the least common multiple of 54 and d(-2)?
2862
Let h(k) = 3*k + 26. Let g be h(-9). Let w = 1 - g. Suppose 4*c + w*c - 198 = 0. Calculate the least common multiple of 24 and c.
264
Let y = 5423 - 5405. Calculate the lowest common multiple of 345 and y.
2070
Let u = 158929 + -138903971/874. Calculate the common denominator of 43/4 and u.
1748
Let v = 11/2229 - 95345/349953. Find the common denominator of 14/5 and v.
785
Suppose 0 = 16*m - 3 + 35. What is the least common multiple of 18 and (-10)/m - (-110)/22?
90
Find the common denominator of -49/99 and 13 + (-28602)/5698 + -8.
3663
Suppose 4*m + 12 = 0, 4*h + 8 = 5*h + 3*m. Suppose 0 = h*l - 156 + 3. What is the lowest common multiple of 2/l - (277/(-9) + 1) and 18?
90
Let y = 255 + -109. What is the common denominator of ((23/(-18))/(-23))/((-1)/y) and 17/10?
90
Let f be -1 + (-7)/(-5) + (-114)/(-15). Suppose -z + 2*h = 4*h + f, -30 = -5*z + 4*h. What is the lowest common multiple of z and 2/3 + 112/3?
38
Let g(a) = 24*a**2 - 6. Let y be g(3). Find the common denominator of -173/30 and (-134)/y - (20/(-6))/(-10).
210
Suppose -2*h + 4 = -3*u - 27, 0 = 2*u + 2*h + 14. Calculate the least common multiple of 18 and (-8 - (-10 - u)) + 61.
54
Suppose -4*v + 3*x = -23, 3*x = -v - 4*v + 49. Let w be 0/(-1 + (2 - 2)). Calculate the least common multiple of (-1*2 - w)*-1 and v.
8
Let w = 5960123/168509724 + -396/21839. Find the common denominator of w and 32/7073.
84876
Find the common denominator of 30/(-2295)*(-4)/32 and 21/10.
3060
Suppose -2*f + 360 = 3*f. Suppose 0 = -3*w - 3*i + f, 5*w - 48 - 66 = -2*i. Suppose -7*r + 50 = -34. Calculate the lowest common multiple of r and w.
132
Let y = -12213 + 14625. Calculate the smallest common multiple of y and 36.
2412
Let b be -16 + -1 + (-1 - 12) + 14. Calculate the common denominator of 73/54 and ((-125)/100 + 14/b)/12.
864
Calculate the common denominator of 6*(-9)/27 + 119/(-30) and (23/7)/((-35)/(-14)*-4).
210
Suppose 10 = 2*u - 0*s + 4*s, -3*u = -5*s - 70. Let p = -7620 + 45823/6. Calculate the common denominator of (-103)/55*u/6 and p.
66
Let r(v) = 123*v**2 - 220*v - 1285. What is the least common multiple of 8 and r(-6)?
35704
Let w(z) be the third derivative of -5*z**4/24 + 11*z**3/3 + 6*z**2. Let o be w(10). Calculate the smallest common multiple of (o/(-10))/((-2)/(-10)) and 14.
14
Let j be (1071/(-594))/((-1)/(-5787) + 0). Let m = -10431 - j. Let g = 17/5 + -161/40. Find the common denominator of g and m.
88
Let i(w) = w**2 - 3*w + 25. Let d be i(8). Suppose 3*n + d = -55. Calculate the common denominator of 10 and (27/(-12))/((-115)/n).
23
Let v = 1148 + -125. Calculate the smallest common multiple of 8 and v.
8184
Let p = 709/3 - 7447/30. Let l = 4843079/90 - 53813. Calculate the common denominator of l and p.
90
What is the least common multiple of (-5)/((-168)/(-207) + (1 - (-11)/(-6))) and 40?
920
Calculate the common denominator of 6 + ((-13758)/1404 - (-6)/81*3) and 37/1326.
1326
Let x(o) = 27*o**3 - 3*o**2 - 4*o - 1. Let z be x(-3). Calculate the common denominator of -85/18 and (z/(-45) - 3)/((-4)/3).
18
What is the common denominator of 0/2 + 424/(-144)*(-4)/8 and 40/699?
8388
Let w = 327329/20 - 16362. Find the common denominator of w and -89/29638.
296380
Suppose 5*y - 125820 = -0*y. Let f = 503399/20 - y. Find the common denominator of (((-7384)/(-16))/(-13))/3 and f.
60
Suppose 2*f + 5*n = -9, -5*f - 5*n + 19 = 4. Suppose -f*z + 20 = -4*z. Suppose -z*c = -61 - 9. What is the least common multiple of 98 and c?
98
Let w be (2/(-4))/((-13)/(-78)). Calculate the common denominator of -4/3 and (w/(-12))/((-14)/(-456)).
21
Let y = 25 + 7. Let i be 656/y*(24/22)/(-2). Let t = i - -3109/220. Calculate the common denominator of t and 87/2.
20
Suppose 7*j - 24*j + 2142 = -0*j. What is the smallest common multiple of j and 198?
1386
Let j = 642 + -638. Calculate the common denominator of (109/1)/(14 - (j - -16)) and 95/112.
336
Suppose 15 = 3*m, 50 = 4*o + m - 159. Let w = -8848 - -8857. What is the smallest common multiple of w and o?
153
Suppose -2 = 2*q - 54. Let g = 19753 - 19745. Calculate the smallest common multiple of q and g.
104
Suppose 2*i - 2*h = -6*h + 6838, -i = -h - 3446. What is the smallest common multiple of 1473 and i?
10311
Let j = -5448 - -6768. What is the smallest common multiple of j and 1?
1320
Suppose 0 = 170*u - 48*u - 4392. What is the smallest common multiple of 27 and u?
108
Suppose -105 = 3*j - 5*b - 832, 3*b + 15 = 0. Calculate the smallest common multiple of j and 96.
3744
What is the common denominator of 69/81 - (-2)/(-3) and (2 - 194/126)*(15 - 736/48)?
189
Suppose 196*g - 186*g = 80. What is the common denominator of 2/((g/15)/(1736/(-700))) and -11/76?
380
Let j be (-21)/2*10/(-5). Suppose 1232 = -j*q + 49*q. Calculate the lowest common multiple of q and 76.
836
Suppose y = 4*k - 13, 5*y + k - 345 = -263. What is the smallest common multiple of 250 and y?
750
Let q = -76/435 - -7/870. What is the common denominator of 23/9 and q?
18
Suppose 5*g + 2*r = 6*r + 66, 3*g = -5*r + 10. Let y be (-315)/60*16/6. Let z(h) = h**2 + 15*h + 26. Calculate the lowest common multiple of g and z(y).
60
Let i be 1*(-97)/(-4) + (-18)/72. Suppose -8*w = -9*w + i. Calculate the lowest common multiple of w and 32.
96
Let l = 42/2491 - -220982/485745. Find the common denominator of l and 73/132.
8580
Let k(y) = 5*y**2 + 8*y + 9. Let h = -91 + 87. What is the least common multiple of 12 and k(h)?
228
Let v = -5925 + 5965. What is the smallest common multiple of v and 10?
40
Calculate the common denominator of 100/(-20) + 7 + 502/(-360)*1 and -91/45.
180
Let w(k) = 17*k - 3. Let q = 64 - 61. Let a be w(q). What is the common denominator of -62/9 and (-2)/a - (-28)/7?
72
Suppose -154*f + 151*f - 4*u + 533 = 0, -3*f - 3*u = -537. Calculate the smallest common multiple of 21 and f.
1281
What is the common denominator of 78/(-208)*88/(-2142) and -95/756?
12852
Let f(p) = p**3 + 15*p**2 + 15*p + 10. Let m be f(-14). Let b be (5 - 1)/(4/((-16)/m)). Find the common denominator of ((-10)/20)/(b/69) and 25/11.
88
Let z(m) = -128*m - 490. Calculate the smallest common multiple of z(-5) and 28.
2100
Suppose f - 203 = -g, 3*f + 411 = -114*g + 116*g. Calculate the least common multiple of g and 192.
3264
Find the common denominator of (((-5)/15)/((-136)/(-5784)) + 6)/(-70) and -25/357.
3570
Calculate the common denominator of (-3)/15 + 1058/6540 and -47/1199.
7194
Suppose 0 = -4*r + 1549 + 851. Let t = 448