 - 5*y**2 - 2. Let w be m(-5). What is the common denominator of 41/12 and w - -5 - (-808)/(-64)?
24
Let v = 26 - 61/3. Let y = -1179 + 1527/2. Let u = -393 - y. What is the common denominator of v and u?
6
Let o = 11763/644 - 5/322. Find the common denominator of 34/374 + (-2114)/748 and o.
68
Let v(d) = -d**2 + 15*d - 12. Let o be v(14). Suppose 0 = -o*m - m + 123. Calculate the least common multiple of m and 10.
410
Calculate the common denominator of (-39)/(-26) - 4/(288/213) and 55/96.
96
Let m(i) = -2*i**2 + 30*i - 21. Calculate the least common multiple of m(14) and 33.
231
Let y(b) = b**2 + 5*b - 15. Calculate the common denominator of -1/21 and y(4).
21
Let s = 127181/22568 - -370/403. Let u = -181/14 + s. Calculate the common denominator of u and 2/(-4)*204/(-44).
88
What is the common denominator of 73/12 and (1 - 6/8)/((-187)/629)?
132
Let y(w) = -w + 5. Let z be y(7). Suppose 0 = -4*a + 7*a - 5*s - 50, -3*a - s = -62. Calculate the smallest common multiple of a and (-41)/z + 15/10 + -2.
20
Let g = 9 + -23. Let s(d) = 8*d**2 + d - 2. Let q be s(-2). Let y = g + q. Calculate the lowest common multiple of y and 4.
28
Suppose 48 = 5*w - 42. Suppose -4*y = 5*r - 58, 4*r - 25 = -2*y + 7. Calculate the lowest common multiple of y and w.
36
Let j(t) = -4*t**3 - 3*t**2 - 4*t - 4. Let u be j(-4). Suppose 0 = -4*h + 2*h + u. Suppose 3*i - h = -2*i. What is the least common multiple of 2 and i?
22
Let w = -1043 - -1047. Suppose 0 = 2*t + 3*t. Calculate the smallest common multiple of 1 - (t - -2 - 7) and w.
12
Suppose 741 = 4*h - 3*w, 0 = -h + 3*w + 4 + 170. What is the lowest common multiple of h and 6?
378
Let g(k) = -k**3 + 15*k**2 + 13*k + 11. Let a be g(16). Let t = 17 + a. Let y = t + 23. Calculate the lowest common multiple of y and 5.
15
What is the common denominator of -53/2 and (-14 - (-531)/36)/(146/60)?
146
Suppose -907 = -5*d - x, -x = -2*d + 3*x + 376. Find the common denominator of (-99)/(-20) + 2 - 2 and d*(3/(-60) + 0).
20
Let t(b) = -2*b**3 - 19*b**2 + 2*b + 1. Let a be t(-9). What is the smallest common multiple of a/(-6) + -3*4/36 and 4?
16
Let j(r) = -6*r**3 - r**2 + 23*r - 5. Calculate the smallest common multiple of 3 and j(-5).
1815
Suppose -37*p + 639 + 101 = 0. Calculate the smallest common multiple of 22 and p.
220
Suppose 483 = 10*d - 157. Calculate the least common multiple of 10 and d.
320
What is the common denominator of 19/8 and 1030/(-40) + 4 + (-1 - -1)?
8
Suppose 10*o - 7*o = 570. What is the least common multiple of o and 95?
190
Suppose -5*p - 130 = -5*y, -4*p - 2*y - 137 + 9 = 0. Let k = -16 - p. What is the least common multiple of k and 30?
210
Let p(t) = -t**2 + 19*t + 77. What is the least common multiple of 15 and p(21)?
105
Suppose 0 = -32*v + 97*v - 1040. Calculate the smallest common multiple of v and 16.
16
Suppose -5*d - 25 = 5*i, 0 = -2*i - i - 12. Find the common denominator of -107/10 and -3 + d + 476/40.
10
Let w = 13119 + -13093. Suppose -2*p - 2*p + 44 = 0. What is the smallest common multiple of p and w?
286
Calculate the common denominator of 43/8 and -8 + 0 + (-3672)/(-351).
104
Calculate the least common multiple of (-788)/(-22) + (-8)/(-484)*11 and 12.
36
Suppose 107*x - 105*x - 36 = 0. What is the lowest common multiple of 6 and x?
18
Let r(i) = -i**2 - 2*i - 4. Let b(q) = -2*q. Let a be b(3). Let t be r(a). Find the common denominator of 131/6 and ((-66)/5)/(t/(-15)).
42
Let q = 64 + 38. Suppose t + 0 = -3, -q = -4*p + 2*t. Let m = p - 12. What is the lowest common multiple of m and 16?
48
Let f be ((-10)/25)/((-1)/5). Suppose n - 4*g = -f, -7*n + 3*n + 26 = g. Find the common denominator of 2024/(-297)*n/(-8) and 25/9.
9
Suppose y = -0*y + 28. Let f(h) = -h**3 + 14*h**2 - 29*h + 78. What is the smallest common multiple of y and f(12)?
252
Suppose -233 = 3*o + 5*n - 1581, -5*o + 2200 = -n. What is the smallest common multiple of o and 9?
441
Suppose 2*o - 22*q = -23*q + 24, 0 = 4*q - 16. Calculate the lowest common multiple of 182 and o.
910
Let x be (-9)/15 - (-2763)/5. Suppose -7*p + 3*p = -x. What is the smallest common multiple of 12 and p?
276
Suppose -2*x - 3*b = 24, 0*x - 2*b - 20 = 2*x. Let o be (-14 + 12)*(-542)/x. Let l = -178 - o. Calculate the common denominator of 3/5 and l.
15
Let v(h) = -47*h**2 + h - 1. Let s be v(1). Let l(m) = -m + 9. Calculate the least common multiple of 1/4 - s/4 and l(-3).
12
Let i = 14 - 12. Let h be (-14)/((-3)/((-6)/2)). Let k = i - h. Calculate the lowest common multiple of k and 8.
16
Let w(m) = m - 1. Let p = 143 + -100. Suppose 3 - p = -5*x. Calculate the smallest common multiple of x and w(10).
72
Let t = -73 + 162. Let y = t + -61. Suppose -k - 2*k = 0, 3*k = -3*w + 54. Calculate the smallest common multiple of y and w.
252
Suppose -308 = 19*p - 26*p. Calculate the least common multiple of p and 520.
5720
Suppose 4*d - 3*d = -2. Let v(z) = -4*z - 5. Suppose 7 = -5*p + 22. Calculate the smallest common multiple of p and v(d).
3
Let a = -19 - -15. Calculate the smallest common multiple of 16 + (-8)/(-2) + -2 and (-7)/(14/a) - -6.
72
Let w = -113 + -4. Let i = 129 + w. What is the smallest common multiple of i and 9?
36
Let r = 9688 - 174317/18. Find the common denominator of r and 63/76.
684
Let b = -1234296615 - -9128857814467/7396. Let n be 2/(-3698) + (3 - 3). Let k = n + b. What is the common denominator of k and 91/10?
20
Calculate the common denominator of 174/63 - 2/(-2) and (-115)/(-12) - (3 + (-6)/3).
84
Let n = -318949/1596 + 2401/12. Let y = -6689/2926 + n. Let a = 4482 - 26761/6. Find the common denominator of a and y.
66
Suppose -i = -5*z + i + 133, -4*z + 113 = 5*i. Let h(y) = y**3 - 7*y**2 + 3*y - 3. What is the lowest common multiple of z and h(7)?
54
Let n = 8550289/78 - 109617. What is the common denominator of 2/45 and n?
1170
Suppose -133*o + 5725 = -128*o. Let j = 5832241553/5109030 - -3/567670. Let u = o - j. What is the common denominator of u and 37/7?
63
Suppose -214 = -3*i + 107. Suppose 3*k - i + 35 = 0. Calculate the smallest common multiple of 10 and k.
120
Suppose 2*z = 5*q + 5*z + 47, 24 = -4*q + z. Let f = 32 + -8. What is the common denominator of ((-2)/(-12))/(q/1064) and f?
3
Let j = -425 + -1410. Let p = 10939/6 + j. Find the common denominator of (3 + -2)/(30/(-305)) and p.
6
Suppose 111*d - 137*d + 234 = 0. Suppose 2*v - 4 = 3*o, -4*o - o = -4*v + 12. What is the least common multiple of v and d?
72
Let k(o) = -o**3 - 3*o**2 + 2. Let a be (-438)/7 + 18/(-42). Let x = a + 64. Calculate the lowest common multiple of x and k(-3).
2
What is the common denominator of (8 - 3) + 9287/(-1924) and -125/234?
468
Let r(c) = 119*c**2 + 8*c + 9. What is the least common multiple of 75 and r(-1)?
600
Suppose 3*b + a + 3*a + 2 = 0, 3*b + 3*a + 3 = 0. Let q = 9 - 5. Find the common denominator of (73/(-3) - b)/q and -17/8.
24
Let q(o) = o**3 + 10*o**2 + 10*o - 3. Let f be q(-8). Suppose -5*x + 29 = 3*g, 5*x + 0*g - f = 5*g. Calculate the lowest common multiple of 1 and x.
7
Suppose 0*a = -5*a + z + 54, 3*z = a - 22. Let u = 20 - a. What is the smallest common multiple of (908 - 910) + 0 + (0 - -6) and u?
20
Suppose -2*m = -k - 34, -2*k - 2*k - 101 = -m. Let g be k/(-60) - 244/10. What is the common denominator of 3 + 4/g*35 and -51/22?
66
Let w = -47416/100122345 - -2/66615. Let t = 82651/31563 - w. What is the common denominator of -79/12 and t?
84
Let z = -9 + 16. What is the smallest common multiple of ((-24)/14)/((-15)/(105/2)) and z?
42
What is the common denominator of 11/((-89760)/(-252))*4 and 37/85?
170
Let q = 60 + -42. Suppose -14 - q = -2*m. What is the smallest common multiple of -44*-1*(-1)/(-2) and m?
176
Let j = 694 - 664. What is the smallest common multiple of j and 9?
90
Suppose -5*c = -5*u + 85, 12 = 2*u + 5*c - 43. Calculate the least common multiple of u and 148.
740
Let x(c) = -16*c**2 - 104*c - 4. What is the smallest common multiple of x(-6) and 22?
44
Let o(i) = i**3 + 13*i**2 + 12*i + 5. Let q be o(-12). Suppose -q*h + 0*h = -20. Suppose -h*x + 0*x = -20. What is the lowest common multiple of x and 11?
55
Let t = 63349/5550 + 9/3700. What is the common denominator of -35/3 and t?
12
Let l(m) = m - 70. Find the common denominator of l(31) and -83/16.
16
Let o = 71/4 - 13/4. Let i = 5