ple of a(y) and 3?
3
Let x(d) = 2*d**2 + 8*d + 1. Let q be x(4). Suppose 0 = 5*t + 4*b - q, -3*t + 12 = -2*b - b. What is the least common multiple of t and 2?
18
Let h(o) = 20*o**2 - 7. Let x(g) = 10*g**2 - 4. Let k(z) = 3*h(z) - 5*x(z). Calculate the smallest common multiple of 4 and k(-1).
36
Let f = 41/81 + 2777/648. Find the common denominator of f and 99/40.
120
Let l(g) = 2*g**3 - 2*g**2 - 3*g - 10. Let o be l(4). Suppose 2*m - 10 - o = -2*i, 5*i + 126 = 3*m. Calculate the smallest common multiple of m and 10.
210
Let o = 395 + -247. Calculate the least common multiple of o and 12.
444
Let u = -56 - -23. Let q = u - -114. What is the least common multiple of q/18 + 1/(-2) and 3?
12
Suppose -p - 16 = 3*p. Calculate the lowest common multiple of (p/3)/((10/(-15))/2) and 6.
12
Let f(j) = 29*j - 34. What is the least common multiple of f(2) and 204?
408
Calculate the common denominator of -53/6 and (-112)/315*(-3 + (-3)/12).
90
Let f = 125 - 117. Suppose 0 = -6*l + 2*l + 12. What is the least common multiple of l and f?
24
Let q(o) be the second derivative of o**3/6 + 11*o**2/2 - 8*o. Let h(k) = 2*k**2 + 8*k + 7. What is the smallest common multiple of h(-4) and q(0)?
77
Suppose 5*f + d - 30 = 0, 2*f + d = -2*d + 25. What is the least common multiple of f and 45?
45
Let z be -2 + (-3 - 84554/(-16912)). Let t = -418587/42280 - z. Let p = 4018/351 - 415/27. Calculate the common denominator of p and t.
130
Let i be (-1115204)/168*1 + (-2)/(-7). Let q = i - -6656. Calculate the common denominator of q and ((-23)/(-8))/(-2 - -4).
48
Let d(k) = k**3 - 12*k**2 + 11*k + 1. Let w be d(11). Find the common denominator of (651/168)/(2/(-4) + w) and ((-87)/(-12))/((-2)/(-6)).
4
Suppose -k + 2 = k. Let v = -439 + 454. Calculate the smallest common multiple of v and k.
15
Suppose 5427 = -2*r + 29*r. Calculate the lowest common multiple of 72 and r.
4824
Let p = 1096 + -1069. What is the lowest common multiple of p and 279?
837
Let n = 9 + 18. Let s = n - -1. What is the least common multiple of 10 and s?
140
Suppose 2*p + 3*p = -945. Let t be (1226/24)/(465/p). Let b = t + 2/155. Find the common denominator of b and 49/4.
4
Suppose 4*q - 49 = -5*t, 4*t + 4 = 2*q + 2*q. Let d = 516 + -290. Calculate the smallest common multiple of d and q.
678
Let v = -1585/6 - -270. Let g = 1/3320 - -14107/9960. Find the common denominator of v and g.
12
Calculate the common denominator of 73/80 and (26/(-208))/((-90)/488).
720
Let o = 29 + -7. Suppose 0 = -b + 1 + 1. Suppose 0 = -x + b*x - o. Calculate the lowest common multiple of 4 and x.
44
Let f = -1602169/42 + 38145. Calculate the common denominator of f and -46/5.
210
Let y be 1/(-526)*((-486278)/(-15))/(-13). Let m = 2/263 - y. Find the common denominator of -77/12 and m.
60
Let t = 0 + 4. Suppose -134 = -4*y - 3*z - 2*z, 0 = -3*y - 4*z + 100. Suppose -t*p + 36 = -y. Calculate the lowest common multiple of p and 20.
180
Let u = -250526/5 + 37436. Let d = u - -12572. Let p = -1447/10 - d. Find the common denominator of p and -23/4.
4
Let i = 15 + -8. What is the lowest common multiple of 376/(-48)*(-7 - -1) and i?
329
Let h = 4 + 1. Suppose -4*s + 12 = h*v - 18, -3*s = v - 17. Suppose 4*t + 2*c = 56, -2*t - 44 = -6*t + c. What is the smallest common multiple of v and t?
12
Let w(l) = -l**3 - 4*l**2 + 2*l + 3. Suppose 4*f - 34 - 6 = 0. Calculate the lowest common multiple of f and w(-5).
90
Let d = 0 + 2. Let b = 983/272 + 95/136. Find the common denominator of 5/d*1/10 and b.
16
Suppose 3*s + 0*s + 12 = 0, -3*s = u + 3. Suppose 3*r + 17 = 2*r. Let i = -7 - r. Calculate the lowest common multiple of u and i.
90
Let g be 1*(4/(-14) + 19422/63). Find the common denominator of -3 + 6 + g/(-40) and ((-2)/(-16))/(1/(-69)).
40
Suppose -2*j - 3 = -j. Calculate the common denominator of -59/2 and (-15)/j - 465/40.
8
Calculate the lowest common multiple of 24 and (90/(-20) - -6)*36.
216
Suppose 7*d - 10*d + 90 = 0. What is the common denominator of 59/2 and (-38)/(-6)*d/(-100)?
10
Suppose 2*c + 2 = 9*f - 7*f, 4*f = c + 7. Find the common denominator of -61/51 and (92/6 - c)/(48/(-18)).
408
What is the common denominator of (3/(-54))/((-3)/(-116)) and 976/330 + -2 + (-20)/100?
297
Suppose -d + 5 = 0, -19*d + 112 = 3*n - 23*d. What is the smallest common multiple of n and 28?
308
Suppose -3*g - 3*a = a + 6546, 3*g + 6555 = -a. Let y = -23848 + 64924/3. Let p = y - g. Find the common denominator of p and -7.
3
Suppose -4*w + 6*w - 6 = 0. Suppose -4*c + j + 112 + 23 = 0, 5*j = w*c - 80. Calculate the lowest common multiple of 900/c - 4/(-14) and 2.
26
Let x be (44/12)/((-2)/6). Let s = x - -8. Calculate the lowest common multiple of 3 + 0 + s + 1 and 18.
18
Let p = 3 - -100. Suppose -5*y = -p + 48. What is the smallest common multiple of (20/6)/(4/12) and y?
110
Let l(j) = -13*j + 678. Calculate the least common multiple of ((-2)/1 - 0) + 20 and l(52).
18
What is the common denominator of 265/(-5)*(-7)/6650*-5 and 93/266?
1330
Let z = 668 - 662. Let s(q) = q**2 - 3*q + 3. What is the least common multiple of s(3) and z?
6
Let u be (3 - 0 - -7)/2. Suppose h + 4 = -0*d + u*d, -5*h - 4*d = -38. What is the lowest common multiple of h and 3?
6
Suppose 1303 = -z - 4*r + 6*r, 4*z + 5227 = 5*r. Let w = z + 6537/5. Let v = -5871/875 + -72/125. What is the common denominator of w and v?
35
Let n = -718 - -734. What is the smallest common multiple of 6 and n?
48
Let x be (852/(-10))/(2/40). Calculate the common denominator of (6/9)/((-128)/x) and 2/(-2)*(-98)/16.
8
Find the common denominator of -17/4 and (1410/(-520))/((-5)/((-10)/(-6))).
52
Suppose 3*g + 2*i - 7 = 0, 2*i = 5*g - 3*g + 12. Let z(u) = 14*u**2 - 2. Calculate the lowest common multiple of 24 and z(g).
24
Find the common denominator of 29/25 and 96/15 - 4/6.
75
Let r(t) = 4*t + 36. What is the lowest common multiple of r(-6) and 36?
36
Suppose -9*d - u = -14*d + 1890, 0 = 3*d - 3*u - 1134. What is the least common multiple of d and 22?
4158
Let k(w) = -w - 18. Let x be k(-18). Let u(m) = 14 + 2 + m**3 + m + 2*m**2 - m**2. What is the lowest common multiple of 20 and u(x)?
80
Let g be 1/(-1) + 627/12. Let n be (-8)/(-6) - (-722)/12. Let y = g - n. Find the common denominator of y and -2.
4
What is the smallest common multiple of 7/(4 - (-3)/(-1)) and (18/(-21))/((-6)/21)?
21
Suppose 3606 + 2514 = 9*k. Let c be k/847 + (-24)/42. Let v = -5427/968 + c. What is the common denominator of v and -51/7?
56
Let c be (0 - (-197266)/23)/(-2). Let j = c - -4290. Find the common denominator of j and -41/8.
184
Let m be (-4665461)/1230810 + (-48)/(-80). Let h = 1/11722 + m. What is the common denominator of h and -89/15?
105
Let t(u) = 7*u**2 + 4*u. Let j be t(3). Let f be ((-1)/3)/((-5)/j). Suppose -210 - 30 = -f*h. What is the common denominator of 93/8 and h?
8
Suppose 0 = -2*o + 3*q + 336, -q = -2*o - 2*o + 672. What is the lowest common multiple of 126 and o?
504
Let j = -249699 - -38952899/156. Calculate the common denominator of j and 5/16.
624
Suppose -10 = 2*v + 14. Let a be (v - -11)/((-2)/4). What is the common denominator of ((-3)/(-50))/(a/(-105)) and -53/22?
220
Let y be (4/(-342185))/((-36)/90). Let v = 8144063/2053110 - y. What is the common denominator of v and 131/24?
120
Let c = -65 - -91. What is the common denominator of 55/2*(-18)/10 and 68/(-5)*c/416?
20
Let s(n) = n**3 + 5*n**2 + 27*n - 28. Calculate the least common multiple of s(6) and 4.
1060
Let u = -76869/32 - -2401. Calculate the common denominator of u and (4/(-40))/(4/(-145)).
32
Let m = -20/247 + 6595/5187. Find the common denominator of m and 41/47.
987
Suppose 0 = -11*m + 9*m + 52. Let r = m - 23. What is the lowest common multiple of r and 24?
24
Let y(i) = i + 8. Suppose -91 = -h + 3*h - 5*l, -3*h - 99 = 5*l. Let v = h - -48. Calculate the least common multiple of y(-7) and v.
10
Suppose 5*u = -11 - 159. Let m = 47 + u. Let h = m + -6. What is the lowest common multiple of 9 and h?
63
Let p(g) = -57*g + 6. Let f be p(6). What is the common denominator of -41/18 and ((-2)/6 - 0) + 2168/f?
126
Let l = -1/5640 + -29591/107160. Let o be (75835/(-44200))/((-1)/6). Let f = 5/884 + o. Find the common denominator of l and f.
380
Suppose -3*o + 61 = o + f, 3*f = -2*o + 23. What is the lowest common multip