/(-1001) - 4/26). Let f = h + n. Calculate the common denominator of f and -23/8.
16
Let p(d) = 4*d**2 - 18*d - 6. Let g be p(6). Suppose 63 = -23*t + g*t. Calculate the least common multiple of t and 9.
9
Let u = -16 - -11. Let d = u + 10. Suppose -2*s - 4*h = -h + 3, -2*s + d*h = -37. What is the least common multiple of 4 and s?
12
Let y(m) = -m**3 - m**2 + 4*m - 6. Let r be y(-4). Suppose s = r - 2. What is the smallest common multiple of s and 57?
456
Let g(k) be the first derivative of -4 + 3*k**3 - k + 6 + 4. What is the lowest common multiple of 12 and g(-1)?
24
Let i = -66/47 + 35489/25239. Let b = -17197/6981 + i. Let k = 3081 + -33861/11. What is the common denominator of k and b?
143
Let a = -2783507/940920 + -2/39205. What is the common denominator of 53/48 and a?
48
Let h = -6 - 0. Calculate the common denominator of -5/33 and h/(-10)*(-188)/18.
165
Let m be (-4)/6 + 27830/(-33). Let k be m/260 - (-2)/(-13). Let p = k + 393/20. Calculate the common denominator of p and 57/8.
8
Let m = -11731/154 - -510/7. Calculate the common denominator of m and -32/5.
110
Calculate the common denominator of (2/2*-7)/(-79 - -81) and 75/26.
26
Let s = -20 + 36. Suppose 3*l + l - s = 0, -l + 3 = -y. Calculate the common denominator of y*(78/32 + 1) and 73/8.
16
Suppose -114 = -3*x + 3*s, -40 = -2*x + 4*s + 40. What is the least common multiple of 4 and x?
36
Let r(c) = c**3 - 12*c**2 - 10*c - 16. Let b be r(13). Let k = 176/9 - b. Find the common denominator of -63/10 and k.
90
Find the common denominator of 64/45 and (-476)/(-198) + (-7 + 6)*2.
495
Suppose w + 4*w = 50. Suppose 8*q + w = 3*q. Let u(v) = 2*v**2 + v. What is the lowest common multiple of u(q) and 7?
42
Let f be (-6)/10 + (-4)/10. Let m = 22/3 + -44/15. Calculate the common denominator of m and f/2 + (-209)/55.
10
Calculate the common denominator of 81/2 and (-9)/44*2 - (-3)/2.
22
What is the common denominator of 7/55 and 27/50 - (5 + 33/(-6))?
275
Let z = -4 + 5. Suppose 5*w - 11 = -z. What is the smallest common multiple of w and (-12)/5*130/(-39)?
8
Let w = 86437/7 + -12513. Let z = 4027124 + -338291207/84. Let q = z - w. What is the common denominator of 59/8 and q?
24
Suppose 2*t + i - 137 - 98 = 0, -2*t + 5*i + 241 = 0. Calculate the common denominator of 51/5 and 6/(-4)*9/((-189)/t).
35
Suppose 3*n - 6 = n - 2*z, -2*n + 14 = -2*z. What is the common denominator of 71/30 and ((7 - n)/8)/(6/(-424))?
30
Let b(y) = -2*y - 11*y - 8*y**2 - y**3 + 0*y**3. Let n(z) = 3*z**2 + 26*z + 10. Let r be n(-8). Calculate the smallest common multiple of 16 and b(r).
48
Find the common denominator of 6/(-8)*18/10 and 54571/15246 + 6/(-7).
180
Let f be (-9)/(-4) - -2 - 4/16. Suppose 2*b + 76 = 4*y, -f*y - b + 3 + 67 = 0. What is the lowest common multiple of y and 22?
198
Suppose -8 + 11 = 3*b. Let k be (-14)/(-63) - 788/(-18). Find the common denominator of 45/2 and (-444)/k*b/(-2).
22
Let a be 634/84*(-5 - (-25)/2). Let p = a + -105/2. Find the common denominator of -61/18 and p.
252
Let w(j) = 36 + j - 15 - 13. What is the smallest common multiple of w(7) and 9?
45
Let g be (-838)/(-12)*-4*(-270)/40. Suppose 4*q = q + 5766. Let p = g - q. What is the common denominator of 113/6 and p?
6
Suppose -5*h - 3*j + 60 + 7 = 0, 19 = h + 2*j. What is the lowest common multiple of h and 66?
66
Suppose -7*t = -6*t - 3. Suppose o - 8 = -t*h, 5*h - 8 = -4*o + 17. Calculate the least common multiple of o and 7.
35
Calculate the common denominator of -13/80 and (-77)/(-840)*68 + -6.
240
Let g = 62768 + -106266228/1693. Let z = 89713/6772 - g. Find the common denominator of 36/11 and z.
44
Let g(f) = 2*f**2 + f + 4. Let n be g(0). Suppose 71 = -0*z + 2*z - x, -176 = -5*z + n*x. Let y = 9 + -5. Calculate the smallest common multiple of z and y.
36
Suppose 88 = g + 2*y, 0*y = -g - 3*y + 92. Calculate the common denominator of 125/24 and 29/8 + 20/g.
24
Suppose -y + 78 = 2*y. Suppose -2*n = -4*g - 8 + y, 5*n = -4*g + 25. Suppose k + 25 = 52 - 16. Calculate the smallest common multiple of g and k.
55
Let p = -42 + 32. Let g = p + 14. Calculate the least common multiple of 52 and g.
52
Suppose -152 = -18*o + 712. What is the lowest common multiple of 66 and o?
528
Let t = 171724/135 - 1272. Let m = t - -229/108. What is the common denominator of m and -109/24?
120
Suppose -5*t = 3*t - 504. Let j = t - 35. What is the lowest common multiple of j and 16?
112
Let r = -171263/18 - -9520. Find the common denominator of -29/9 and r.
18
Suppose w = n + n - 148, 0 = 2*w + 2*n + 302. Let b = -727179/58760 + 3/7345. What is the common denominator of 1*2 - (-1755)/w and b?
40
Let f = -36 - -19. Calculate the common denominator of (-4)/(8/(-59)) - -4 and 175/18 + (f - -14).
18
Suppose -b + f + 5 = 1, 0 = -b + 5*f - 16. Find the common denominator of (3/b)/(21/(-27)) + -3 and (-93)/27 + 4/2.
63
Suppose -i - 4*w + 32 = 0, 2*i - 37 = 5*w + 79. What is the common denominator of 142/(-140) - 2/7 and (-366)/i*(-8)/14?
70
Suppose -406 = -2*w + z, 5*w + z - 3*z = 1016. Suppose 8*v = 6*v - w. Find the common denominator of 29/6 and 6/(-21) + v/(-504).
12
What is the least common multiple of (32/128)/((-2)/(-16)) and 13?
26
Suppose 0 = f + 22 + 16. Let j = -16 - f. Calculate the lowest common multiple of 2 and j.
22
Let f = -1754881/72 + 24374. What is the common denominator of f and 47/128?
1152
Let j = -7043 + 112645/16. Let o = -4137 - -41331/10. Find the common denominator of j and o.
80
Calculate the common denominator of 5/20*(-95)/16 and (14 - (-270)/(-40)) + (-5 - -1).
64
Let n = 1147339/30 + -38249. Find the common denominator of -83/54 and n.
270
Calculate the common denominator of (-15)/(-1 + -2) + 1149/(-180) and -67/36.
180
Let y be ((-3)/2)/(6/(-8)). Find the common denominator of -2 - 2 - (-134)/20 and (-92)/40*(y - 1).
10
Suppose -l = -10*l + 108. Let c(s) = 2*s**3 - 4*s**2 + 2*s - 6. What is the smallest common multiple of c(3) and l?
36
Let j(i) = 6*i**3 - 10*i**2 - 5*i + 8. Let p(v) = 7*v**3 - 10*v**2 - 6*v + 7. Let o(b) = 6*j(b) - 5*p(b). What is the lowest common multiple of 8 and o(10)?
104
Let v = 28/50935 - -1364497547/305610. Let g = 4480 - v. What is the common denominator of g and -43/20?
60
Let y(t) be the second derivative of 2*t**3/3 - 3*t**2 + 4*t. Calculate the lowest common multiple of y(6) and 38.
342
Let z be (2/(-24))/(5 + 464507/(-92902)). Let x = z + 2576. Find the common denominator of 101/6 and x.
18
Let s = -57848/6499 - -930/97. Let m = s + 4481/402. Calculate the common denominator of (-506)/(-140) + 4/14 and m.
30
Suppose 10*r = 7*r. Suppose r = 16*z - 13*z - 144. Calculate the least common multiple of z and 27.
432
Let y = 10853/5 - 2163. Let r = -8029/6 + 1355. Calculate the common denominator of y and r.
30
Let d = -22253 - -13041. Let r = 129021/14 + d. Find the common denominator of -79/22 and r.
154
Suppose -10*n = 33*n - 946. Calculate the lowest common multiple of n and 128.
1408
Let x(s) = -s**3 + s**2 + 2*s + 1. Let t be x(2). Calculate the smallest common multiple of 6 and ((-4)/14)/(t/(-7)).
6
Calculate the common denominator of ((-1380)/196 + 7)*2 and -4/7.
49
Let i = 102 - 71. Calculate the smallest common multiple of 10 and i.
310
Let j = -51 + 64. Suppose -44 = -j*w + 9*w. What is the smallest common multiple of 8 and w?
88
Suppose 0 = -y - 1, 3*y + 288 = 5*u - 0*y. What is the common denominator of 1/2 - 1463/u and -81/16?
48
Let z(m) = -m**3 - 6*m**2 - 3*m - 19. Let x be z(-6). What is the lowest common multiple of 57 and (0 - (1 + x)) + -9 + 12?
57
Let o = 25 - 0. Suppose -5*p = -0*p - o. Calculate the smallest common multiple of 8 + 8/2 + -2 and p.
10
Suppose 3 = -2*o + 23. Calculate the least common multiple of o and 3 + -4 + 48/2.
230
Let p be (152/12)/(1/3). Let b = 0 + p. Calculate the lowest common multiple of b and 10.
190
Suppose 0 = -10*j + 5*j + 10. Suppose -b + 3 = -j*f - 3, 4*b = -5*f + 63. What is the lowest common multiple of 12 and b?
12
Let f = 16859/18 + -944. Calculate the common denominator of f and 67/24.
72
Let s(w) = -39*w**2 + 21*w**2 + 17*w**2 - 12*w - 12. Calculate the least common multiple of s(-8) and 7.
140
Let g = -438311/70 + 6261. Calculate the common denominator of 7/160 and g.
1120
Let c = 56 - 36. Let v = 255 + -139. Calculate the low