n multiple of a and 12.
180
Let m(a) = a**2 + 25*a - 56. Calculate the smallest common multiple of m(-28) and 9.
252
Let w = 1116591707/80648 + 15/80648. Let h = w - 893087/36. Let n = h - -10966. Calculate the common denominator of n and 38/9.
18
Let y = -929 + 16715/18. Find the common denominator of -67/44 and y.
396
Suppose -3*g = 4*q + 9, -16 = -2*g + g + 5*q. Let s(a) = 5*a**2 - a + 2. Suppose -3*r + 5 = -10. Calculate the smallest common multiple of s(g) and r.
30
Let d(h) be the first derivative of 2*h**2 + 8*h + 2. Calculate the lowest common multiple of 11 and d(0).
88
Let q be -1*(-102 + 0) - -2. Find the common denominator of (-2)/q*81*2 and (-7)/(-168)*(6360/160)/((-2)/(-8)).
104
What is the common denominator of 9/8 and ((-146)/108)/(7 - (-22)/(-3))?
72
Calculate the common denominator of -45/119 and (-274)/35 + (-40)/(-5).
595
Let f(v) be the second derivative of -v**4/12 + 5*v**3/6 + 9*v**2/2 + 9*v. Suppose 0 = -4*t + 2*t + 10. Calculate the lowest common multiple of 4 and f(t).
36
Let t(i) = -5*i - 70. Let l be t(-13). What is the smallest common multiple of 26 and 11*(4 + l)*-1?
286
Let z = 9637/1784 - 6/223. Let x = -77/50 - -141/25. Find the common denominator of x and z.
40
Suppose -5*q = j + 3*j - 861, 0 = -4*q - 2*j + 684. Suppose 3*t - 5*p = q, -3*t + p + 126 = -23. Calculate the lowest common multiple of t and 6.
48
Let x = -170 + 218. What is the smallest common multiple of 22 and x?
528
Let q(l) = l + 1. Suppose 15*b - 18*b = -72. What is the smallest common multiple of q(5) and b?
24
Let p = 10364/15 + -694. What is the common denominator of -38/9 and p?
45
Let p = 46886/11 + -4261. Calculate the common denominator of p and (-554)/90 - (-6)/(-15).
99
Suppose 2*j - b + 6*b = -28, 0 = 3*j - 3*b + 21. Let x(a) = -a + 2. What is the smallest common multiple of 7 and x(j)?
77
Let s(q) = -3*q**2 + 2*q**2 + 8 - q + 2*q**2. Let m be s(7). Suppose 5*v + 5*k = m, 0 = -2*k - 2*k + 12. Calculate the lowest common multiple of 10 and v.
70
What is the smallest common multiple of 8 and 256 + (7 - -2) + -9?
256
Let n(u) be the second derivative of -u**4/12 + 5*u**2 + u. Let s(o) = 6*o + 72. Let i be s(-12). Calculate the smallest common multiple of n(i) and 12.
60
What is the common denominator of 15*2/168 - (4 - 1) and 41/4?
28
Suppose 0 = 13*w - 11*w + 2. Calculate the least common multiple of 8 and w/(-3)*-2*-15.
40
Suppose 4*z = -z + 20. Suppose -3*c + c = z. Find the common denominator of c and (34/10)/(4/(-10)).
2
Suppose 0*f = -14*f - 14. What is the smallest common multiple of 30 and 16 - (5 + f + -9)?
210
What is the common denominator of 95/66 and (-174)/406 + (-271)/1638?
2574
Calculate the common denominator of -1/24 and 3/(-15) - 2735/(-300).
24
Let w(k) = k + 21. Let j be w(16). Suppose -5*m + 48 + j = 0. What is the lowest common multiple of m and 12?
204
Let z = -756752979/20 + 37829689. Let a = -7962 - z. Calculate the common denominator of a and 23/2.
20
Let k = 4197 + -7695. Let b = 111915/32 + k. Calculate the common denominator of -13/6 and b.
96
Let j = -16 - -14. Let c be j/(0 + (-2)/(-184)). Calculate the common denominator of -29/4 and (c/(-12))/(8/10).
12
Let v(i) = -2*i**3 - 22*i**2 - 25*i + 40. Calculate the least common multiple of v(-10) and 75.
450
Let o be 5/((-30)/1)*(-508)/18. Let y = o - 44/9. What is the common denominator of -139/30 and y?
270
Let b = -34679219/6012 - -17305/3. Let m = 18500335099 - 444896058525377/24048. Let h = m - b. Calculate the common denominator of -37/20 and h.
80
Calculate the common denominator of -59/40 and 8883/(-2940) - (-7)/4.
280
Let s = -53 - -74. Let f(d) = 4*d + 38. What is the least common multiple of s and f(-8)?
42
Let a = -24493/2635 + -5/1054. Let m be 0 - -2 - 131847/(-207240). Let x = m + 1/6280. Calculate the common denominator of a and x.
110
Suppose -3*d + 2*p - 35 = -1, p - 23 = 2*d. Find the common denominator of (-1)/3 - 745/150 and ((-103)/5)/(d/10).
30
Let n be (4/6)/(32/34032). Let o = n + -462. Let r = -2721/11 + o. What is the common denominator of r and -19/10?
110
Suppose 0 = 5*r + 115 - 10. Let u = r + 25. Suppose 28 = 2*p + 5*n, n = 4*p - 0*n - 12. What is the least common multiple of u and p?
4
What is the common denominator of (-97)/(-12) - (6 + 0) and 67/66?
132
Let k(t) = -t - 1. What is the lowest common multiple of 476 and k(-9)?
952
Suppose 4*m + 646 = 5*c, -2*c + 4*m + 158 = -98. Calculate the least common multiple of c and 30.
390
Let q = 21605 + -777665/36. Calculate the common denominator of q and 49/6.
36
Suppose 3*z - 171 = -0*z. Let v = -49 + z. Calculate the lowest common multiple of 52 and v.
104
Let x = -270 + 288. Calculate the smallest common multiple of 36 and x.
36
Calculate the common denominator of 15/50 - (-8 - (-7848)/1360) and -97/40.
680
Let u(f) = f**3 + 13*f**2 + 9*f + 13. Let s be u(-12). Calculate the lowest common multiple of 30 and -2*s/(-4) + 7/(-14).
120
Let y = -4/2489 + -106947/49780. Calculate the common denominator of 145/12 and y.
60
Let c = 45899944/677 - 67799. Let o = -69521/6770 - c. Calculate the common denominator of (-83)/(-44) - (-1)/(-4) and o.
110
Let o = -137/4 + 861/20. Calculate the common denominator of o and (-1099)/(-1884)*316/(-14).
30
Let q = -41 + 39. Find the common denominator of 37/12 and (-118)/10*q*30/144.
12
Let p = 2/10769 + -915389/129228. Let g = 50/17 - 473/51. Find the common denominator of g and p.
12
Let x(c) = -44 - 43 - 59 + c + 159. Calculate the smallest common multiple of x(3) and 34.
272
Suppose 3*n = u + n + 48, -3*u - 3*n - 126 = 0. Suppose 2*w + 5 - 57 = 0. What is the smallest common multiple of (u/(-11))/(1/4) and w?
208
Suppose 5*q = 12 + 38. Let v(n) = 2*n - 14. Let a be v(q). Find the common denominator of (-190)/(-66)*a/(-4) and 127/6.
66
Let j = 1479149/978 + -3025/2. What is the common denominator of j and -11/21?
3423
Let t be -4 + 215625/(-17604) + 2. Let r = t + -2/1467. Find the common denominator of r and 73/4.
4
Suppose 0 = 3*c - 27. Suppose -x + 42 = 2*a + a, 21 = a - 2*x. Let r(g) = g - 6. Calculate the least common multiple of c and r(a).
9
Let w be (-4)/(-10) + (-4396)/105. Let j = -1517/30 - w. Calculate the common denominator of j and -52/7.
70
Suppose -2*d = -4*z - 4 + 2, -2*z + 5 = d. Suppose 7*g + 43 = 190. Suppose -5*c = 5*b - 70, -2*b - 3 = c - g. What is the lowest common multiple of d and c?
30
Let y = -273318/11 + 1560619/55. Let a = -3539 + y. Calculate the common denominator of 83/16 and a.
80
What is the lowest common multiple of 4/(-14)*21*8/(-6) and 8?
8
Suppose -29 = -5*l + 6. Let r = 6 - l. What is the smallest common multiple of (14/21)/(r/(-18)) and 62?
372
Suppose 9*t - 12 = 8*t. Let m(u) = 4*u**2 - 3*u - 5*u**2 + 2 - 6 + t*u. What is the lowest common multiple of m(4) and 6?
48
Suppose -2*g + 55 = -5. What is the smallest common multiple of g and 198?
990
Let v(q) = -678*q**2 + 2*q + 2. Let w be v(-2). Let z be 1/(-2)*w + -3. Let j = z - 14929/11. What is the common denominator of j and -31/4?
44
Suppose m - 45 = -5*t, -t - 61*m + 9 = -59*m. Suppose -8 = -q + 4. Calculate the least common multiple of q and t.
36
Suppose v - 3*v = -2*r - 26, -3*v + 2*r = -35. Suppose v = 4*a - a, -3*u = a - 27. Suppose -6 = 3*b - 42. Calculate the lowest common multiple of u and b.
24
Let f be 10/(-3) + 4/(-6). Let b = 7 + f. What is the least common multiple of 24 and b?
24
What is the common denominator of -103/48 and -10*(-9)/(2592/22)?
144
Suppose 6*f = 4*f + 4. Suppose -467 = 6*p - 17. What is the lowest common multiple of (-1)/(11/p) + (-4)/(-22) and f?
14
Let y(k) = k**3 + 8*k**2 + 4*k - 8. Let v be y(-6). Suppose r = 5*r - v. Suppose -3*g = -1 - 5, z + 4*g = r. What is the least common multiple of 16 and z?
16
Let y be 150/(-20)*(-2)/3. Let q = -83 + y. Find the common denominator of 83/10 and q/27*(-5)/20.
90
Let w = -172939/42 - -16467/4. Find the common denominator of w and 71/138.
1932
Suppose 0 = -2*p - 4*n - 64 + 314, -4*p = 3*n - 525. Calculate the lowest common multiple of 45 and p.
135
Let i = -453 - -538. Calculate the lowest common multiple of 40 and i.
680
Let k(d) = d**3 + 8*d**2 + 13*d + 45. What is the lowest common multiple of k(-7) and 2/(-5) - 51/(-15)?
3
Let t(m) = -m**2 - 22*m + 30. Calculate the least comm