f(y) = 2*y**2 + 8*y + 2. Let a = -46 - -42. Calculate the lowest common multiple of 34 and f(a).
34
Let h(p) = 6*p**2 + 45*p + 45. Calculate the smallest common multiple of h(-1) and 264.
264
Suppose 2*y - 5*v = -2*y + 12, -5*v = 0. Calculate the common denominator of 44 and (0 - 1/(-52))/(y/296).
39
What is the smallest common multiple of 30 and (20/(-5) - 2) + (-3 - -51)?
210
Let r be ((-28)/(-245))/(4/17470). Let f = r - 496. Calculate the common denominator of f and -26/7.
7
Let q be (-1 - (-24)/21) + 884/(-14). Calculate the common denominator of 91/12 and ((-140)/(-16))/(q/24 + 3).
12
Suppose 2*c + b = 48, -2*b - 28 = -2*c + 2*b. Calculate the least common multiple of c and 12.
132
Let g be (4/7)/2*14. Let i be (g/6)/((-66)/(-58333)). Let f = i - 590. What is the common denominator of 9/4 and f?
36
Let o = 1483/990 + -281/55. What is the common denominator of o and 77/93?
558
Suppose 23*l + 819 = 36*l. Calculate the smallest common multiple of 14 and l.
126
Suppose 0 = 2*d - 0*d - 238. Let b = d + -53. Suppose 3*v = -3*h + b, -3*v - 22 = -3*h + 38. Calculate the least common multiple of 1 and h.
21
Suppose 52 = 4*d + 4*j, -11 = -d + 5*j + 32. Suppose -2*i + 3*h = 135, i = -3*i - 5*h - 215. Calculate the lowest common multiple of (2/4)/((-10)/i) and d.
18
Suppose -20*b + 168 = -17*b + 2*u, -3*b - 3*u + 171 = 0. What is the least common multiple of 18 and b?
54
Let w = -45587/40 + 1140. Calculate the common denominator of w and 127/24.
120
Calculate the common denominator of 3*(27/(-24) + 5) and 73/14.
56
Let s(k) = k**2 + k + 22. Let q be s(0). Let b = q - 24. What is the smallest common multiple of 4 and 28/4 - 6/b?
20
Let j = -299/6 - 703/2. Let b be 30210/(-72) + (4 - 2). Let q = j - b. Find the common denominator of q and -49/18.
36
Let w(x) = x**2 - 4*x - 1. Let i be w(-3). Suppose 0 = -n - 3*d + 5, -2*d = -n - 0*d + i. Calculate the smallest common multiple of n and 14.
14
Suppose d - 3*p = -1, 4*d + 2 - 12 = -2*p. Suppose 13*n - 12*n - 6 = 0. Calculate the lowest common multiple of d and n.
6
Calculate the common denominator of -1/60 and ((-4)/50)/((-4)/(-385)).
60
What is the lowest common multiple of 0/(0 + 1) + 4 and 2/1 + 26/(468/162)?
44
Let k(m) = -m**2 - 7*m - 2. Let z(n) = 2*n + 1. Let l be z(-3). Suppose -s + 30 = 4*s. Calculate the least common multiple of s and k(l).
24
Suppose 167*y - 175*y + 112 = 0. Let q(u) = 5*u - 4. Suppose p = -0*p + 4. What is the lowest common multiple of q(p) and y?
112
Let t be 93/18 + -5 - 129/18. Find the common denominator of (10/t)/((-28)/637) and 39/20.
20
Let d(u) = 2*u**2 - 17*u + 3. Suppose -2*j = -10 - 8. Calculate the smallest common multiple of 44 and d(j).
132
Let k(p) = p**2 + 14*p - 1067. What is the lowest common multiple of 65 and k(-41)?
520
Let s = 16961 - 237561/14. Let d = 26773/16 - 1678. What is the common denominator of d and s?
112
Suppose -10 = -g - 3*n, 35 = 4*g + 4*n - 37. Suppose -5*h + 62 = 3*d - 0*h, d + 3*h = 26. What is the smallest common multiple of d and g?
154
Let a = 6092 + -36689/6. What is the common denominator of -101/4 and a?
12
Calculate the least common multiple of (-2)/8 - (-39348)/144 and 15.
1365
Suppose 5*v = -0*v - 15. Suppose -173*d + 7 = -166*d. What is the least common multiple of -1*2/v*3 and d?
2
Let h(i) = -18*i + 96. Calculate the lowest common multiple of 162 and h(5).
162
Let y = -2/1115 + 10051/8920. What is the common denominator of y and -57/80?
80
Suppose 0 = -6*n + 24 - 6. Suppose 2*x + 130 = 4*m, -x + n*x = 6. Calculate the least common multiple of m and 5.
170
Suppose 2*t = -2*w + 4, 5*t - 2 = -2*w + w. Let x(k) = -1 - 7*k + t*k - 7 + 1 - k**2. What is the smallest common multiple of x(-4) and 2?
10
Let p be 29/(-1) - -1 - -1. Let l = p - -29. Suppose -67 = -4*y + d + 8, 5*y + 2*d = 110. What is the lowest common multiple of y and l?
20
Let l = 27518063/276 + -99703. Find the common denominator of l and -65/8.
552
Let m(l) = l**2 - 5*l - 4. Let d be m(6). Let f(t) = 2*t**3 - 23*t**2 - 11*t - 8. What is the least common multiple of f(12) and (-2)/(d/8*-1)?
8
Let t = 87 - 49. Let s(a) = -2*a**2 - 11*a + 25. What is the smallest common multiple of s(-7) and t?
76
Suppose 652 = 4*q + 196. Let p = -334/3 + q. Let s = 111/4 - 331/20. Calculate the common denominator of p and s.
15
Find the common denominator of (9/(-75))/((-72)/(-1020)) and -143/6.
30
Suppose 3*h + 3*m + 0*m = -9, 3*h - 1 = -m. Let v(w) = w**3 + 6*w**2 - 87*w. Calculate the lowest common multiple of h and v(7).
28
Let d be (11/24)/((-4)/(-3)). Let o = d - 1703/160. Let p = 172 + -454/3. What is the common denominator of o and p?
30
Let i = 1598 + -1588. What is the lowest common multiple of i and 51?
510
Let r be 12/18*(-9)/2. Let q(g) = -g**2 + 3*g + 5. Calculate the least common multiple of q(4) and (r/(-2))/((-6)/(-44)).
11
Let n be 1 + 8 + -1 - 0. Suppose -3*r - q + 15 + n = 0, 38 = 2*r - 5*q. What is the lowest common multiple of r and 8/(-4) + 1 - -6?
45
Let f = 5569 + -44491/8. Let u = 2762 + -842404/305. Let t = u + -12523/915. What is the common denominator of t and f?
24
Let b be (-25)/2*(-26191)/110. Let s = b + -2961. Calculate the common denominator of s and -17/2.
4
Let r = 1853 + -1831. Suppose 3*b + 0*b - 8 = -2*t, 3*b - 2*t = 4. Calculate the smallest common multiple of r and b.
22
Let l = 50 - 85. Calculate the least common multiple of 20/l*(-28)/8 and (6/4)/(3/4).
2
Suppose v = 1 + 11. Let x(r) = r**2 - 5*r - 3. Let b be x(6). Suppose -4*u - 4*n = -16, -b*u + 3*n = -12 - 0. Calculate the smallest common multiple of u and v.
12
Let s = 350 - 344. What is the lowest common multiple of 48 and s?
48
Let p = 20 + -14. Calculate the common denominator of (5 - 75)*(-2)/(-44) and ((-18)/40)/(p/(-5)).
88
Let x be ((-42)/(-9))/(2/(-9)). Let m = x + 23. What is the smallest common multiple of 4 and (-52 - m)/(-3) + 4?
44
Suppose 0 = -4*c + 6 + 70. Suppose -c = -a - 0*a + 5*q, 0 = 4*a + 5*q - 26. Calculate the lowest common multiple of (-2)/6 + 22/3 and a.
63
Let n be 2 + -2 + (-132521)/16. Let t = n + 8277. Find the common denominator of t and 1 + (-132)/48*(-10)/4.
16
Calculate the common denominator of 1/3 - 66/(-16) and 846/94 + 62/(-6).
24
Suppose -98 = -3*c - 4*d, 56 + 68 = 4*c + 2*d. What is the lowest common multiple of c and 50?
150
Suppose -2*w + 131 = -37. Let o be 24/40*(29 - -1). What is the common denominator of (-232)/w*o/8 and -17/8?
56
Let d be -1 - ((-96155)/(-1050) - 2). Let c = 1454/15 + d. What is the common denominator of -16/11 and c?
154
Let h = -17 + 19. Suppose h*s - 46 = 36. Suppose s + 69 = 5*f. Calculate the least common multiple of 10 and f.
110
Let f = -8924893/6 - -1493395. Let d = f + -5930. Find the common denominator of 63/80 and d.
240
Calculate the common denominator of 0 - 4 - 259/(-60) and 121/30.
60
Let p be (-64)/(-12)*(-21)/49*1098. Let o = 607 - -1909. Let j = o + p. What is the common denominator of -61/10 and j?
70
Calculate the common denominator of 4810/624 - (-3)/8 and 47/70.
420
Suppose 11 = -3*a + 32. Suppose b + a = 5. Let i = 8 + b. Calculate the smallest common multiple of i and 14.
42
Let h(b) = -b + 6. Let g be h(7). Let q be 2*(6562/24)/g. Let l = q - -544. Calculate the common denominator of 73/8 and l.
24
Find the common denominator of -143/36 and 5/18*((-434)/(-60) + -9).
108
Let c = 80 + -77. Suppose -37*f + 34*f + c = 0. What is the smallest common multiple of 62 and f?
62
Let x(t) = 2*t + 3. Let k = -10 + 9. Calculate the smallest common multiple of 9 and x(k).
9
Let r(b) be the second derivative of b**3/6 + 2*b**2 + 8*b. Let i be r(-6). Calculate the least common multiple of 13 - 2/(i/(-1)) and 10.
60
Suppose -5*y + 4*y = 0. Suppose y = 13*g - 11*g + 50. Let k = 27 + g. Calculate the smallest common multiple of 22 and k.
22
Let t be ((-64)/4)/4 - -42. Suppose 9*y - 34 = t. Calculate the smallest common multiple of 14 and y.
56
Let t be (15 + -18)*(-34)/(-3). Let j = -18 - t. What is the least common multiple of 4 and j?
16
Let b be (-3 - (2 + 0)) + 5. Suppose -j = -0 - 2, 3*s - 5*j + 1 = b. What is the least common multiple of s and 31?
93
Let c(q) = -q**3 - 5*q**2 + 14*q + 4. Let l(d) = -d**3 + 12*d**2 - 13*d + 15. Let g be l(11). What is the least common multiple of c(g) and 3?
12
Let h = 637 