t p(h) = -h**3 + 14*h**2 - 14*h + 1. Suppose 2*t - 13 = 13. Let m be p(t). Let j = 24 + m. Calculate the least common multiple of j and 10.
60
Calculate the common denominator of (-40)/40 + 572/510 and -26/15.
255
What is the common denominator of ((-3850)/99)/(-7) - (-1)/6 and 89/10?
90
Let t = 318 - 290. What is the smallest common multiple of 9 and t?
252
Let s = 36985/1134 - 463/14. What is the common denominator of 13/33 and s?
891
Suppose 2*n - r = -1, -4*n = r + 7 - 20. What is the lowest common multiple of n and 22?
22
Find the common denominator of (-18)/(-48) + (-89)/56 and 29/1130.
7910
Let z = -2887464/15851 - -78388956491/430386352. Let x = 3/1697 - z. What is the common denominator of -25/6 and x?
528
Let o = -2/9 + -857/72. Calculate the common denominator of 9/20 and o.
40
Let u(n) be the first derivative of n**4/4 - 7*n**3/3 + n**2/2 + 15*n + 5. What is the smallest common multiple of u(7) and 18?
198
Let d be -4*4/(-16) + -1. Suppose d = -0*w + w + k - 3, -15 = -3*w - 5*k. Suppose w = -0*s - 2*s + 28. Calculate the least common multiple of s and 12.
84
Let p = -23762 - -1164396/49. Calculate the common denominator of p and -10.
49
Let h = 708 + -11231/16. Let r = -568325935/2065232 + -6/129077. Let w = r - -2163/8. Find the common denominator of w and h.
16
Suppose -2*q = 0, 6 - 54 = -4*x - 3*q. Let s(w) = 7*w**2 + 2*w - 6. What is the smallest common multiple of x and s(-4)?
588
Let h = -73991/33858 - -1/891. What is the common denominator of h and -19/64?
1216
Let u = -259368/96367 - -6/3323. Let n = -1527/406 - u. Find the common denominator of -97/38 and n.
266
Suppose -432 = -9*t - 7*t. Suppose 6 + 46 = 4*l - 4*i, 0 = -4*i - 16. Calculate the lowest common multiple of t and l.
27
Let a = 1513 + -1093. Calculate the lowest common multiple of 120 and a.
840
Let y = 6312 + -170371/27. What is the common denominator of y and 52/33?
297
Find the common denominator of -111/56 and ((-4)/130)/(96/(-765)).
1456
Let j = 172 - 148. Let d(r) = r**3 + 6*r**2 + 3*r + 2. What is the least common multiple of d(-5) and j?
24
Suppose x + 2326 = 2584. What is the smallest common multiple of 20 and x?
2580
Let g = 2561 + -2276. What is the least common multiple of 57 and g?
285
Let k = 551/41 - 19979/1148. Find the common denominator of k and 51/7.
28
Let o(b) = 5*b**3 - 2*b**2 + b. Let h be o(1). Suppose h*p - 19 = -3. What is the common denominator of -26/11 and 2/(-10)*(-43 + p)?
55
Let l = 14 - 7. Let a(i) = i**2 + 6*i + 5. Let k be a(-5). Suppose -y - l = 3*p, -3*p + 1 = 2*y - k. Calculate the least common multiple of 10 and y.
40
Let b = -33 - -80. Suppose -48*k + 20 = -b*k. What is the least common multiple of k and 12?
60
Let p = -516287041/16 + 32285670. Let x = p + -17736. Calculate the common denominator of x and -59/6.
48
Let b = -700976/47 - -14915. Find the common denominator of -99/10 and b.
470
Let g be 3 + ((-32)/(-176) - 14084/22). Calculate the common denominator of -19/12 and 27/(-297) - g/(-132).
12
Suppose 5*t = 10*t + 60. Calculate the common denominator of -17/2 and (-420)/(-90)*(-7)/t.
18
Let f = -54001/12 - -4488. Calculate the common denominator of f and 29/164.
492
Suppose 5 = -11*v + 49. Suppose 2*p - 18 = -3*t + 3, -p + 21 = 5*t. What is the lowest common multiple of p and v?
12
Find the common denominator of 29/3 and 526/406 - (432/(-84))/12.
87
What is the common denominator of -92/225 and (2 - 15301/1375) + 9?
1125
Let u = 8958305/144 - 62210. Find the common denominator of 53/10 and u.
720
Suppose 128 - 50 = 39*y. Let v(f) = -8*f**2 - 3*f - f**3 + 2*f**2 + 8 - 4. What is the least common multiple of y and v(-6)?
22
Let d = -555 + 579. What is the smallest common multiple of d and 252?
504
Suppose 5*c = -0*c - 405. Let j be 2*(2 - c/(-6)). Let g = j + 23. What is the common denominator of 3/4 and g?
4
Let g = -122 + 126. Calculate the least common multiple of g and (-1)/(-3) - 22/(-6).
4
Let n(q) = 7*q**2 - 141*q + 406. Suppose 0*m - 3*m + 18 = 0. What is the lowest common multiple of m and n(3)?
138
Suppose -72*h = -61*h - 88. What is the lowest common multiple of 32 and h?
32
Suppose 26*o = 37*o - 2673. What is the lowest common multiple of 21 and o?
1701
Let y = 1353408082 + -6144472653241/4540. Let l = y + 1/908. Calculate the common denominator of l and -11/10.
10
Let h be (-6)/(-21) + (-13240)/(-14). Let q = h - 2884/3. Let o = 15286/6903 + 6/767. Find the common denominator of q and o.
9
Let a(f) = 0*f + 4*f + 9 - 5*f. Let w be a(6). Calculate the common denominator of 404/56 - (w + 0) and 63/8.
56
Let g be ((-628)/(-180) - 3)*6. Let t = -83/60 + g. Find the common denominator of t and (-2)/(-1) + 202/(-24).
60
Suppose 2*k = j + 23, -3*j - 81 = -5*k - 26. Calculate the least common multiple of 142 and k.
994
Suppose -6*m + 9*m - 4*g - 286 = 0, 5*m - 466 = 4*g. Calculate the smallest common multiple of m and 5.
90
Suppose 45 = 5*c + 2*d - 19, c - 10 = d. Calculate the smallest common multiple of c and (0 - 0) + -1 + 11.
60
Let a = 29 + -23. Let k be 4*(a + -3)/3. Suppose k*n - 58 = -2. Calculate the lowest common multiple of 16 and n.
112
Let b(c) = c**2 - 3*c. Let x be b(4). Suppose -5*f + 2*s + 228 = 44, -5*s + 134 = x*f. What is the lowest common multiple of f and 6?
36
Let k(r) = 2*r**3 + 14*r**2 + 7*r + 57. Let d = 2 + 6. What is the lowest common multiple of d and k(-7)?
8
Let a = 32 - 29. Suppose -o = -2*o + a. Let l(w) = w + 4. What is the common denominator of l(o) and 67/9?
9
Suppose -204 = -4*q + 5*i, -2*i + 2 = -6. What is the smallest common multiple of 8 and q?
56
Let z(r) = -5*r**3 + 17*r**2 + 5*r + 31. What is the least common multiple of z(4) and 2 + 1 + -2 - -29?
30
What is the common denominator of 423177/(-998844) - (-8)/22 and 49/12?
3948
Suppose -z + k = -6*z + 54, -2*k = 2*z - 28. Let f = -232 + 250. What is the smallest common multiple of z and f?
90
What is the common denominator of 996*(-27)/(-4824) + 1*-5 and -11/10?
670
Suppose -3*o + 7 = -17. Let k = 2462 + -24589/10. Calculate the common denominator of 318/o*1/6 and k.
40
Suppose -4 = z - 0. Let y be (-82)/(-2)*(36/(-6) - -9). What is the common denominator of -125/12 and 1 + z + y/60?
60
Suppose -448 = -26*w - 2*w. Calculate the least common multiple of w and 46.
368
What is the lowest common multiple of -6*44/(-6) + -8 and 2?
36
Suppose 11 + 25 = 2*t. Suppose t - 34 = -4*z. What is the lowest common multiple of z and 22?
44
Let x be (0 - 0) + (4 - (-1 - -3)). Suppose -z + x*w = -14, -z - 2*w = -w - 2. Calculate the smallest common multiple of z and 2.
6
Suppose s = 4*j - 6, -5*s + 15 = -5*j - 15. Suppose 0 = k - w - 16, 4 = -4*w - 4. Calculate the smallest common multiple of k and s.
70
Suppose -20 = -12*t + 17*t, 5*j - 203 = 2*t. Suppose 0 = 3*p + 3*g - 18 - 39, p + 5*g - 35 = 0. What is the lowest common multiple of j and p?
195
Suppose 17 = -m + 5*u, -m - 3*m = u - 16. Suppose -m*p = -3*j + 21, -j - 4*p = p + 5. Let r = -5 - -15. Calculate the least common multiple of r and j.
10
Let o be (11 + -13)/((-4)/30). Let r be ((-9)/(-1))/(o/20). What is the smallest common multiple of 6 and 159/9 + 4/r?
18
Let k = 1591 - 6359/4. Find the common denominator of -29/288 and k.
288
Let o = 84 + -82. What is the common denominator of 53/2*(-2)/(-5) and 2/o - (-3 - (-180)/44)?
55
Let s = -11519 - -6864. Let d = s + 18717/4. What is the common denominator of d and -121/18?
36
Let o = -122377/10 + 12248. Suppose -c = w, -5*c + 12 = -8. Calculate the common denominator of (268/72 + w)*-17 and o.
90
Let d = -534 + 909. Suppose 3*s = 2*s - w + 127, 3*w = 3*s - d. Calculate the common denominator of 103/20 and 55/(-22)*s/(-10).
20
Suppose 2*f = -5*l - 11110, -l = l - 4*f + 4468. Let b = 20087/9 + l. What is the common denominator of b and -71/9?
9
Let u(r) = r**3 - r**2 + 3*r + 8. Calculate the lowest common multiple of 32 and u(0).
32
Suppose 4*f - 3*s + 90 = 184, 0 = -5*s - 10. Calculate the least common multiple of 108 and f.
1188
Suppose 4*p = 5*w + 16, -2*p - 4*w - w + 8 = 0. Let n(i) = i + 2. Calculate the lowest common multiple of n(p) and 19.
114
Suppose -2*x - 2412 = 4*u, -3*u - 2397 = 2*x - 2*u. Let v = x - -5938/5. Calculate the common denominator of (-2)/2 + (-17)/(-9) and v.
45
Let s be 12/20 + (1 - 974/(-10)). Suppose