common multiple of p and 16.
80
Let q(v) = -v**2 + 7*v. Let z be q(6). Let f(l) = l**2 - 2*l - 11. Let h be f(z). Suppose -h - 19 = -2*p. What is the smallest common multiple of 2 and p?
16
Let o(i) be the second derivative of -4*i**3/3 - 69*i**2/2 + 7*i - 1. What is the smallest common multiple of 8 and o(-10)?
88
Let g(l) = -153*l**3 - l**2 + l + 1. Calculate the least common multiple of g(-1) and 12.
456
Let m = 28511 + -1197359/42. Calculate the common denominator of -127/606 and m.
4242
Let o be (-2)/6 + (-1822)/84. Let w = 109/6 + o. Calculate the common denominator of ((-2)/18)/(2/(-57)) and w.
42
Let i = 18887 - 509875/27. Find the common denominator of i and -28/93.
837
Let l(n) = 2*n**2 - 6*n - 9. Suppose -3*s = -5*t + 82, t - s + 6*s = -6. Suppose -2*j - t = -4*j. Calculate the common denominator of l(j) and -17/6.
6
Let a = 181687/18 + -10099. Let o be 3 + (-12891)/3432 - -1. Let s = 24/1001 + o. What is the common denominator of s and a?
504
What is the common denominator of -57/10 and ((-77)/25 + 3)*170/32?
40
What is the common denominator of ((-2)/92)/((-7)/(-518)) and -39/5?
115
Suppose 30 = -4*k + 90. Suppose -5*g = -k*g + 130. Calculate the lowest common multiple of 7 and g.
91
Let v = 10195/4 - 6159/2. Let h = -1144 + 1681. Let l = h + v. What is the common denominator of 23/10 and l?
20
What is the common denominator of 43/38 and (164/(-20) - -3)/((-96)/(-150))?
152
Let r = -30305/9 - -3362. Find the common denominator of r and -65/147.
441
Let j(x) = 2*x**3 - 28*x**2 + 25*x + 20. Calculate the least common multiple of j(13) and 580.
4060
Let l be 1169/294 + 2/12. Let o = -219/14 + l. Calculate the common denominator of 5/7 and o.
14
Let d = 12 - 14. Let r be (1/(-2))/(d/(-8)). Find the common denominator of r - (1 - (-77)/(-12)) and 29/16.
48
Suppose 3*w - 2*y - 65 = -y, -3*y + 69 = 3*w. Let m be -5*(0 + (2 - 3)). Suppose 2*a - m = -1. Calculate the lowest common multiple of w and a.
22
Suppose 0 = 2*m - 9*j + 7*j - 28, 2*m - 4*j - 30 = 0. Calculate the smallest common multiple of m and 65.
65
Let b = -3148 - -31529/10. Let h be 4/(-26) - 16452/(-111501). Let p = h + -119089/5718. Find the common denominator of b and p.
30
Suppose 10*g + 1652 = 17*g. What is the lowest common multiple of 10 and g?
1180
Let q = -1205/3 - -11837/30. Let v = -4860 - -29249/6. What is the common denominator of q and v?
30
Let a(y) = y - 11. Let u be a(10). Let f = u + 5. Calculate the smallest common multiple of 7 and f/(-6) - 51/(-9).
35
Let t(n) = -2*n**2 + 2*n + 1. Let x be t(0). Suppose 5*v - x = 3*h - 7, 0 = -5*v. What is the lowest common multiple of 15 and h?
30
Suppose 4*v + 154 + 1094 = 2*j, 4*v + 1878 = 3*j. Suppose -3*c - 2*c = -j. What is the common denominator of -99/20 and (-2)/7 - 2463/c?
60
Let x = 34 - 29. Suppose -x*c + 112 - 32 = 0. What is the lowest common multiple of c and 20?
80
Let z be 1/(-824)*(-191937)/81. Let a = z + -2/2781. Let j = 573/2 + -248. Find the common denominator of j and a.
8
Let o = 434539/22 - 19748. Suppose 2*s - 5*h + 772 = 0, 0 = -4*s + 3*s - 3*h - 408. Find the common denominator of 1978/s - (-2)/9 and o.
22
Let f be (0 - -1) + 3082/(-10). Let c = f + 21289/70. Find the common denominator of 97/14 and c.
14
Let a = -791 - -871. What is the smallest common multiple of 80 and a?
80
Let d = 406 + -3259/8. What is the common denominator of d and 2/(-4) - (-99)/(-24)?
8
Suppose k + 14 = t + 71, k - 3*t - 51 = 0. Calculate the smallest common multiple of 72 and k.
360
Let q = 10720 - 15463. Find the common denominator of 47/2 and q/270 - (-6)/15.
6
Let h be 32/(-84) + (-2)/3. Let r = h - -403/84. Calculate the common denominator of (-92)/(-80) + -4 - 3 and r.
20
Suppose -1295 = 10*n - 175. What is the common denominator of 53*(-1)/n + 6/(-21) and -1 + -1 - 92/(-88)?
176
Let m = -779 - -783. Calculate the lowest common multiple of m and 32.
32
Suppose 12*y = 44*y - 384. Calculate the lowest common multiple of y and 12.
12
Let d(f) = 25*f + 4. Let g be d(5). Suppose -g = 3*z - 471. What is the common denominator of 3/60*z + -1 and -16?
10
Let w(j) = -j**2 + 4*j + 7. Suppose -8*l = -58 - 70. What is the least common multiple of l and w(5)?
16
Let f(z) = z - 47. Let s be f(6). Let j = -37 - s. Let b = -16 + 26. Calculate the smallest common multiple of j and b.
20
Let c = 1111 + -2231/2. What is the common denominator of c and 99/656?
656
Suppose 3*n + 5*n = 128. Calculate the least common multiple of n and 68.
272
Let g be -3 - (-58 + -2)/5. Let x be (-3)/g - (-96)/18. What is the lowest common multiple of 30 and ((-14)/6)/(x/(-30))?
210
What is the lowest common multiple of (-95)/57 - (-401)/3 and 20?
660
Suppose -n = -4*n + 15. Suppose -2*u - a + 81 = 3*u, -3*u + n*a + 71 = 0. Suppose -17 = -2*d + u. What is the common denominator of d and -45/17?
17
Suppose 127545 = -j - 544555. Let l = j + 65864811/98. Let u = -13/392 + l. What is the common denominator of u and -83/14?
56
Let k = -49/32 - -479/480. What is the common denominator of k and -22/75?
75
Suppose -10*f + 5*f + 40850 = 0. Let j be 6/5*f/8. Let r = 19701/16 - j. Calculate the common denominator of r and 5/18.
144
Let u(d) = d**2 - 7*d + 8. Let k be u(5). Calculate the smallest common multiple of 1*(-296)/k*(-2)/(-4) and 22.
814
Let c = -1/1507 + 5344/1507. Suppose 3*x - 11*x + 408 = 0. Find the common denominator of c and ((-15)/3 + x)*10/24.
66
Let o(n) = n**3 - 6*n**2 + n - 6. Let b be o(6). Suppose -3*s + 29 - 5 = b. What is the common denominator of (-2)/s + (-328)/32 and 69/20?
20
Let t(r) = r - 12. Let q be t(16). Suppose 0 = j + 3*m + 2*m - 21, q*m = 3*j - 44. Calculate the smallest common multiple of 44 and j.
176
What is the common denominator of 23/28 and ((-110)/50)/((24/90)/(-1))?
28
Let i = 24 - -10. Suppose 0 = 3*p + i - 1. Let c = p + 13. Calculate the lowest common multiple of 9 and c.
18
Let z = 1383 - 1361. Calculate the smallest common multiple of z and 112.
1232
Let d = -109 + 132. What is the common denominator of d and (-250)/12*(1 + 0)?
6
Let d(f) = -4*f - 2 + f**2 + 2*f + f**3 - 3*f**2 - 3*f. Let h be d(4). Suppose g - 14 + h = 0. What is the lowest common multiple of g and 4?
4
Let f be (-4)/(-26) + (-4152)/(-52). Let b be (-42)/(-35)*f/(-3). Let o = -10 - b. What is the lowest common multiple of o and 20?
220
Let y = -221521/20 + 11072. Calculate the common denominator of y and -163/240.
240
Let x = 41 + -56. Calculate the common denominator of x/(-90)*(-54)/(-10) and -101/6.
30
Let h be (2 - 1 - 2)*-3. Let v be (-7 - -7)/((-4 + 3)*2). Suppose h*y = -v + 21. What is the smallest common multiple of y and 10?
70
Let c be 4/(-6)*(-18)/4. Suppose 95 = -13*z + 173. Calculate the smallest common multiple of z and c/12 + (-31)/(-4).
24
Let s = 15 - 24. What is the common denominator of 74/(-10)*(-5)/4 and ((-100)/(-24))/(s/(-12))?
36
Suppose -14*h + 790 = -1394. Calculate the least common multiple of 104 and h.
312
Let r = 29 - 20. Let f be -1 + 5 + (r - -2). Calculate the smallest common multiple of (-6)/f - (-860)/25 and 16.
272
Suppose -6*w - w = -112. What is the lowest common multiple of 20 and w?
80
Let i(y) = y**3 - 15*y**2 - 89*y + 15. What is the least common multiple of i(20) and 25?
1175
Let d be (1622 + 3 - -3)*-8. Let j = d - -23877. Let w = -108433/10 + j. Find the common denominator of w and -58/9.
90
Let x = -39 - -60. Let z = -5 + x. Calculate the smallest common multiple of 10 and z.
80
Let x be (-50)/224 + 2/7. Let s = -12857/4 + 359861/112. Let a = s + x. What is the common denominator of -107/18 and a?
126
Let q = -524 + 548. Suppose -60 = 4*a - 236. Calculate the smallest common multiple of q and a.
264
Let k(s) = -2*s**2 - 11*s - 1. Let l(t) = 3*t**2 + 12*t + 1. Let x(h) = 6*k(h) + 5*l(h). Calculate the least common multiple of 4 and x(-5).
104
Suppose t + 3*t = -2*d + 2, 0 = 2*t - 3*d + 11. Find the common denominator of -15/16 and (-740)/520 + t/4.
208
Let n = -2945/1176 - 69/98. What is the common denominator of 13/8 and n?
24
Suppose -s - 77 - 12 = -5*t, 3*t - 31 = -5*s. Let z = t - -3. Suppose -2*o = -5*p - 7, 2*o + 4*p + 15 = 67. Calculate the smallest common multiple of o and z.
80
Let j(z) = z - 13. Let b be j(10). Let i = 71 + -63. What is the smallest common multiple of (b + 7)*(-15)/(-