0
Let c = 8 + -12. Let n be ((-10)/c)/(4/1340). Let q = n - 858. Find the common denominator of 59/4 and q.
4
Let t = 186 - 144. What is the least common multiple of 12 and t?
84
What is the least common multiple of (-84)/(-3) - (-1 - -1) and (-63)/(-18)*200/35?
140
Calculate the common denominator of 4/(-24)*(21/(-92) + 3) and 19/136.
3128
Suppose 0 = 4*h + 16, 3*j - 2*h - 28 = 34. Let x = -23564 + 23574. What is the lowest common multiple of j and x?
90
Let b(s) = 4*s**2 + 7*s + 10. Calculate the lowest common multiple of b(-2) and 104.
312
What is the common denominator of 14/99 and 553/88 + 30/(-5)?
792
Let f = -2847 + 8512/3. Calculate the common denominator of ((-4)/(-10))/((-22)/20) and f.
33
Let w(m) = -m**2 - m - 8. Let p be w(-4). Calculate the common denominator of 6/(-6) + (-7)/p and -65/28.
140
Let x(r) = 2*r**2 - 10*r + 20. Calculate the lowest common multiple of x(4) and 6.
12
Suppose -j = 2*i - 3, 5*j + 0*j = -2*i - 1. Suppose 7*p - 5 = 6*p. Suppose -p*o + o + 5 = -3*g, 4*o + 5*g = 13. What is the least common multiple of i and o?
2
Let i = -252 + 266. Calculate the lowest common multiple of i and 38.
266
Suppose -20 = 6*p - p. Let f be p/(12/(-69)) - -1. Suppose -2*c - 2*c + f = 0. What is the least common multiple of 8 and c?
24
Let p(g) = 14*g + 21. Let z(c) = -7*c - 10. Suppose -8*x - 25 = -3*x. Let b(i) = x*z(i) - 3*p(i). Calculate the lowest common multiple of b(-3) and 9.
72
Suppose 4 = -h, -3*k + h + 74 = 13. Let u = k - 8. Calculate the lowest common multiple of u and (-1)/(3/27*-1).
99
Let i(q) = q**2 + 5*q + 3. Let w be i(-4). What is the common denominator of (-2)/(-6) - (-15)/(-54) and 203/(-20) + 3 - w?
180
Suppose -632 = -19*l + 204. Calculate the lowest common multiple of l and 20.
220
Let q = 14 + -9. Suppose 0*x = -q*x - 25, -26 = c + 2*x. Let m = c + 38. Calculate the smallest common multiple of 8 and m.
88
Let v = -761 + 7727/10. Let y be ((-2)/4)/((-185)/(-1010)). Let l = 1421/740 - y. Calculate the common denominator of l and v.
20
Find the common denominator of 43/14 and 6 - (3695/350 + -6).
70
Suppose 2*q - 68 = -2*q. Let v = q + -7. Suppose 0 = -49*l + 19*l + 240. Calculate the smallest common multiple of v and l.
40
Let p = -3909 + 58666/15. What is the common denominator of p and -59/6?
30
Let m be ((-6)/9)/((-14)/6111). Suppose r - 87 = -3*u - 0*u, -3*r - 3*u = -m. Find the common denominator of 98/105*r/(-8) and 38/17.
170
Let v(h) = -2*h**2 + 7*h + 2. What is the lowest common multiple of v(3) and 2?
10
Let o be -2*(0 - 4)/2. Suppose 0 = -o*q - t + 53, 4*q + 2*t - 38 - 20 = 0. Suppose -8*i = -59 - 101. Calculate the smallest common multiple of i and q.
60
Calculate the common denominator of (578/(-408))/((-45)/42) and 97/10.
90
Let c(z) = -z + 1. Let q(k) = 5*k. Let j be 0 - 0 - (-7 - -6). Let u(s) = j*q(s) + 4*c(s). What is the smallest common multiple of u(12) and 12?
48
Let k = 1260 - 12569/10. Let x = -2453 + 44177/18. Find the common denominator of x and k.
90
Let a(h) = -14*h**2 + 4*h + 4. Let t be a(-3). Let x = t + 297/2. Let k = -3/2197 + 239539/48334. What is the common denominator of k and x?
22
Let w(a) = 33*a - 10. Let m be (-24)/18*18/(-4). Let g be w(m). Calculate the common denominator of g/64*2 - 3 and -33/16.
16
Suppose -2*i - 2 = 4*p, 0 = -2*p - 3*i + i + 2. Let v(j) = j**3 + 16. Calculate the lowest common multiple of v(0) and ((-6)/p + 20/(-8))*12.
48
Let y(h) = -h**3 + 5*h**2 + 8*h + 8. Let w be 4/(-14) + (-468)/(-21). Suppose 14 = 6*a - w. What is the lowest common multiple of y(a) and 22?
220
Find the common denominator of 67/4 and 28/(-21) + (-4 - (-6144)/1125).
500
Let j = 275 - 274. Suppose 4*w + a - 28 = 0, -35 = -5*w - 4*a + a. What is the least common multiple of j and w?
7
Let a = -121 + 130. Suppose 2*r = 7 + a. Let s = -2 + 4. What is the lowest common multiple of r and s?
8
Suppose 9*o = -59 + 1211. Calculate the lowest common multiple of 48 and o.
384
Calculate the common denominator of 137/12 and (-741)/26*(-2)/(-6).
12
Let n be 2/8 - (-28)/16. Let i(j) = -66*j. Let h be i(-1). What is the common denominator of (6/h)/(n/106) and 71/6?
66
Let r be 1408/20 - (-4)/(-10). Suppose 6*f - f - r = 0. Calculate the smallest common multiple of 15/(-10)*(-280)/21 and f.
140
Let r(k) = -k**3 - 7*k**2 - 2*k - 9. Let a be r(-7). Suppose x - 1 = -i, -a*i - 28 = -3*x - 3*i. Calculate the smallest common multiple of 24 and x.
24
Suppose l - 5*l = 0. Suppose 6*n - n + 100 = l. Calculate the common denominator of 119/20 and 326/120 + (-4)/n.
60
Let k be -2 + 0 + (3 - 1) + -3. What is the smallest common multiple of 12 and 6*((-12)/k + (-3)/(-1))?
84
Let m(c) = 2*c - 1. Let k be m(2). Suppose 0 = 2*z - k*z + 7. Suppose 0 = 3*y - 4*w - 4, -5*y + 2 = 2*w - 48. Calculate the smallest common multiple of z and y.
56
Suppose 3*d + d = -4*c + 264, -2*d = 4*c - 130. What is the smallest common multiple of (-144)/(-40) - (4 - (-110)/(-25)) and d?
268
Find the common denominator of (-27)/9 - (-7190)/2000 and 79/40.
200
Let o(m) = -m + 2*m**2 - 2*m**3 + 2*m - 3*m**2 - 104 + 3*m**3. Let q be o(0). Calculate the common denominator of 87/2 and 400/234 - (-16)/q.
18
Let o = 135/2 - 544/9. Find the common denominator of -17/46 and o.
414
Suppose -8432 = -t + 2235. Let q = 160088/15 - t. Calculate the common denominator of 28/9 and q.
45
Let n = 2/63 - 307/1071. Calculate the common denominator of ((-4)/120)/(2/224) and n.
255
Let t(a) = a**3 + 8*a**2 - 9*a + 8. Let v(c) = 2*c - 2. Let l be v(1). Suppose l*y + 4*y = -36. Calculate the lowest common multiple of 20 and t(y).
40
Find the common denominator of 27/25 and 1586*(-12)/4620 - -4.
1925
Let j(b) = -b**3 + 5*b**2 + 2*b + 1. Suppose q - 2 = v - 1, 4*q = v + 16. Let a be j(q). Let n = 0 + a. Calculate the least common multiple of 8 and n.
88
Suppose -h = 5 - 11. Suppose 2*l = -l + h. Suppose -72*o + 32 = -64*o. What is the least common multiple of l and o?
4
Let g be ((-2)/88)/(20/(-2787240)). Let x = g + -3168. Calculate the common denominator of 121/18 and x.
198
Suppose 0 = -p + 5*p. Let a(r) = r**2 + r + 4. Calculate the smallest common multiple of 18 and a(p).
36
Let c be ((-15)/10)/((-6)/(-16)). Let g(u) = -8*u - 2. Let w(i) = 7*i + 1. Let t(z) = -5*g(z) - 6*w(z). Calculate the lowest common multiple of 4 and t(c).
12
Let n = -7/95 - 799/760. Find the common denominator of n and (0 + (-8)/(-132))*1539/36.
88
Let p(g) = -2*g**3 - g**2 - g. Let t be p(-3). Let w(k) = -5*k. What is the least common multiple of w(-4) and t/(-2)*8/(-24)?
40
Let r = -404 + 414. What is the least common multiple of r and 105?
210
Let b(i) = 7*i - 61. Calculate the smallest common multiple of b(9) and 2.
2
Let v = 2263 + -316819/140. What is the common denominator of v and 157/84?
420
Suppose -a - 2*a = -12. Suppose y - 13 = 5*x - a, 2*y + 4*x = 4. Suppose -y*s = -2*j - 3 - 9, 3*s + 5*j = -4. What is the smallest common multiple of s and 3?
6
Find the common denominator of -59/208 and 10/(-5) + 1460/936.
1872
Let v = 29948/75 - 1193/3. Calculate the common denominator of v and -42/65.
325
Let v = 553 - 490. Calculate the least common multiple of 63 and v.
63
Let n = 63 + -60. Suppose -5*y = 0, y + 24 = n*g - 0*y. What is the smallest common multiple of g and 23?
184
Suppose 8 = -2*g - 0. Calculate the common denominator of 5 + 68/(-16) + (-51)/(-84) and (158/g)/(-1 - 1).
28
Let l = -7 + 12. Suppose 5 = r - b, 0*b - 45 = -l*r + b. Let o(v) = -2*v**2 - 32*v - 110. Calculate the least common multiple of o(-10) and r.
10
Let o = -21 - -28. Suppose o*f = 92 + 48. Let m(y) = -y**3 - y**2 + y + 4. What is the smallest common multiple of f and m(0)?
20
Let f = -51293/10 + 5140. Let n = -2/249 - 2152/747. Let w = -847/90 + n. What is the common denominator of f and w?
10
Let y(s) = 12*s**3 + s**2 - 2*s + 1. Suppose 2*q = -3*q + 5. Let g be y(q). Suppose -2*v + g = -12. Calculate the lowest common multiple of v and 12.
12
Let k = -2 - -5. Suppose 3*d - 37 - 59 = 0. What is the least common multiple of d and -9*(k - 1)/(-1)?
288
Let i(k) = k**2 - 14*k - 23. Let x = 0 + 8. What is the smallest common multiple of x and i(-2)?
72
Suppose -14*z = 444 - 458. What is the least common multiple of z and ((-80)/25)/((-2)/20)?
32
Let q(j) = j**2 + 3*j - 20. Let d be q(12). Let c =