2. Let q(s) = -s**3 - s. What is the least common multiple of q(-2) and b?
290
Suppose 0 = 2*t - 5 - 1. Let p be (-7)/(-28)*(1 + t). Calculate the common denominator of -1*p - 117/(-33) and -65/6.
66
Let f = -2/207 + -12209/414. Let w be (-3)/5 + (-326)/190. Let q = w + -293/456. What is the common denominator of q and f?
24
Let t be 9/7 + -1 - (-968)/(-154). What is the common denominator of (221/(-4) - 11/44)/t and 3/10*(-61)/3?
20
Suppose 1279*q - 1270*q - 990 = 0. Calculate the lowest common multiple of 15 and q.
330
Find the common denominator of 39/368 and 1473/(-420) - 3/42*2.
1840
Let f(z) be the second derivative of -z**5/20 + z**4/3 + 2*z**3/3 - 4*z**2 - 7*z. Calculate the lowest common multiple of f(4) and 6.
24
Let p = -14824/3 + 459700/93. Calculate the common denominator of ((-76)/(-30))/((-2)/3) and p.
155
Let m = -538361/24 - -22436. Calculate the common denominator of m and -105/88.
264
Let t = -31 - -51. Let h be t/(-6)*18/(-12). Find the common denominator of (-2)/h + (-2)/(-8) and -133/6.
60
Suppose -2*k - 3*k = 50. Calculate the smallest common multiple of 4/k - (-5)/(75/336) and 5.
110
Let s(p) = -3*p**2 - 3*p**3 + 9*p**2 + 3*p - 9 + 2*p**3. What is the smallest common multiple of s(6) and 5?
45
Suppose -25*t = -4*t - 63. What is the smallest common multiple of 145 and t?
435
Let q = 9 - 9. Suppose -4*a + 2*r - r + 7 = 0, -2*a + r + 1 = q. Suppose -a*s + 45 = 2*s. Calculate the lowest common multiple of s and 10.
90
Let g(o) = -o**3 + 6*o**2 - 5*o - 2. Let r = 6 - 2. Suppose 5*q - 16 = r. Calculate the smallest common multiple of g(q) and 1.
10
Let j be (1621/(-7))/(10/(-7)). Let x = -53023/330 + j. Find the common denominator of x and 76/21.
231
Calculate the least common multiple of 63/12*-1*(-48)/18 and 18.
126
Let m(a) = 4*a + 24. What is the lowest common multiple of 30 and m(6)?
240
Let i be 3 + (5 + -3 - -35). What is the common denominator of 2/5 + 119/i and 453/(-10) - 1/5?
8
Let b(j) = -5 - j - 2*j + 8*j - 3*j. Let n(t) = 1. Let v(k) = b(k) + 2*n(k). What is the least common multiple of v(4) and 9?
45
Suppose -3*g - 2*g = -1780. Find the common denominator of (-1)/(32/g) - 0 and ((-2)/6)/(1/76).
24
Suppose -3*h - 93 = -f, -3*f - 20*h = -21*h - 319. What is the least common multiple of 8 and f?
216
Let v be (125028/3776)/(-9) - -4. Let z = v + 147/59. Calculate the common denominator of ((-218)/(-10))/(14/(-5)) and z.
112
Let u(r) = 96*r**2 + 6*r - 3. Calculate the smallest common multiple of 27 and u(1).
297
Let i(v) = 2*v - 3. Let o be i(2). What is the least common multiple of (-6)/2 - 23/(-1) and o + -1 - (-5 + -3)?
40
Let q be 0 + 8 - (1 + 2). What is the common denominator of q/70*(-37)/2 and 63/8?
56
What is the common denominator of -21/5 and 438/560 + (-15)/(-40)?
70
What is the common denominator of -63/10 and (188/54)/((-24)/36)?
90
Suppose 5*j - 17 = 3. Let w = -73 - -79. What is the smallest common multiple of w and j?
12
Let k(n) = n**3 + 11*n**2 - 32*n - 115. Calculate the smallest common multiple of 4 and k(-12).
500
Suppose -18*l + 1218 + 348 = 0. What is the lowest common multiple of l and 7?
609
Let u = -4/2429 - -184640/21861. What is the common denominator of u and 37/208?
1872
Let d = -277/15 + -1/30. Let c be (1497/9)/(56/12). Let q = c - 36. What is the common denominator of d and q?
14
Suppose 5*c + 4*y + 168 = 0, -2*c - 40 - 38 = -2*y. Find the common denominator of 1/15*(-370)/c and 80/33.
594
Calculate the common denominator of -27 and (-25 - -25) + 0 + (-102)/224.
112
Let r(f) = -f**2 - 13*f - 16. Let q be r(-11). Let k(g) = -g + 11. What is the lowest common multiple of k(q) and 2?
10
Let j(p) = -p**3 + 14*p**2 + 52*p - 15. Let h(s) = 2*s + 2. Let f be h(2). Suppose -f*u + 48 = -2*u. Calculate the least common multiple of j(17) and u.
12
Find the common denominator of (-190)/475 + 133/80 and 31/16.
80
Let a(h) = -h**3 + 3*h**2 + 8*h - 7. What is the smallest common multiple of a(4) and 9?
9
Let i = 206 + -196. Calculate the least common multiple of 58 and i.
290
Let l = 1572/515 + -1/412. Calculate the common denominator of 7/1650 and l.
3300
Suppose 6 = -3*m + l + 4*l, 8 = -4*m - 2*l. What is the lowest common multiple of 28/(-8)*(-4 - m) and 7?
7
Let b be ((1 + -328270)/1)/(-27130). Let c = -12/121 - -163022/1641365. Let w = c + b. What is the common denominator of w and -23/12?
60
Let l = -17 - 70. Find the common denominator of (-4)/(-48)*l/(-2) and 9/19.
152
Let w(x) = -x**3 + x**2 + 2. Let g be w(0). Suppose -5*d - 13 = b, -5*b + g*b - 5 = -2*d. Calculate the common denominator of 38/44 + b - 0 and -67/16.
176
Let s be 2/4*(2*9)/(-3). Calculate the smallest common multiple of (-1 - (-7 - s))/((-2)/(-6)) and 12.
36
Suppose 0 = m - 4*o + 21, -5*m + 8*o = 3*o + 165. Let x = 49 + m. Calculate the least common multiple of x and 21.
84
Let d(u) = -6*u**2 + 230*u - 71. What is the lowest common multiple of d(38) and 939?
4695
Suppose j = -3*j - 2*b + 32, 3*b - 20 = -2*j. Let v = -14 - -22. Calculate the smallest common multiple of j and v.
56
Let i = 1/16386 - -794707/229404. Calculate the common denominator of i and 40/63.
252
Let h = 1842903/94 - 19605. Let u = 1029 - 8305/8. What is the common denominator of u and h?
376
Suppose 5*g = -4*f - 10, -5*g + 20 = 4*f - 6*f. Suppose g = -3*s - 1. Calculate the common denominator of 1/(11*s/(-18)) and 27/10.
110
Suppose -149 = -5*c + 161. Calculate the least common multiple of c and 20.
620
Let g = 3829/5 - 757. Calculate the common denominator of -39/8 and g.
40
Suppose 0*m = 4*m - 5*g - 80, -2*g = 0. Suppose -28 - m = -4*z. What is the least common multiple of z and 33?
132
Suppose 25 = 5*n, n + 320 = u + 61. Calculate the smallest common multiple of 18 and u.
792
Let k be (-25)/15*3/(-1). Suppose -5*r = 5*w + 10 - k, 3*w = -r - 3. What is the least common multiple of (w - -13) + (6 - 8) and 8?
40
Let i = -5 + 17. Let b(m) = m**2 + 16*m + 35. Let u be b(-13). Let a = i + u. Calculate the least common multiple of a and 2.
8
Suppose 76 - 28 = 6*q. Suppose -q*f = 3*f - 176. What is the lowest common multiple of 10 and f?
80
Let n(x) = x**3 + 5*x**2 - 7*x + 4. Let g be (-17 - -1)*(-2 - 0)/8. Suppose -b + 3*d = 4, b + 0*d = d + g. What is the lowest common multiple of b and n(-6)?
40
Suppose -5*b + 74 = l, 2*b - 3*l - 8 = 25. Let x(a) = -20*a**3 + 1. Calculate the lowest common multiple of x(-1) and b.
105
Suppose 4*x + 12 = -4*t, -4*t + 7*x - 3*x = -12. Let q(o) = -3*o + 22. What is the least common multiple of q(t) and 28?
308
Suppose -109 = -3*p + 11. Suppose h - p = -28. What is the lowest common multiple of 50 and h?
300
What is the common denominator of 25/8 and 6/12*(-107)/(-440)?
880
Suppose -4*d - 1 = -5. Let f(h) = 29*h + 1. Let o be f(d). Suppose 4*u - o - 42 = 0. What is the smallest common multiple of 18 and u?
18
Let l = 497 + -495. Calculate the smallest common multiple of 330 and l.
330
Let z = -669/4 + 309/2. What is the common denominator of 2/12*166/(-4) and z?
12
Let a be -2 + 1 - (-6)/1. Suppose 0*n + 5*n + 10 = 0, -n = -a*z + 52. What is the lowest common multiple of 8 and z?
40
Let a = -240 - -1209/5. What is the common denominator of -59/98 and a?
490
Let a = 10614082/13 + -196466741/234. Let k = -23127 - a. Find the common denominator of k and 83/21.
126
Let l(z) = 4*z. Let b(i) = -i**2 + 7*i - 7. Let k be b(6). Let g be l(k). Calculate the common denominator of 35/9 and 66/g - (6 - 5).
18
Let r be (-274)/(0 - 144/201). Let n = r - 1132/3. Let p = 1963 + -17627/9. What is the common denominator of p and n?
72
Let g(x) = -x**3 - x**2 + x + 6. Suppose -5*c = -4*c. Let u be g(c). Suppose -5 - 1 = -u*q. What is the least common multiple of q and 11?
11
Suppose 24 = -5*f + 94. Let r = 2125/42 - 170/21. Find the common denominator of r and (-2)/(-7) - (-87)/f.
2
Let t(n) = -n + 2. Let v be t(-3). Suppose -4*r = -5*z + 8, -r + 0*r - 17 = -v*z. What is the lowest common multiple of 5 and z?
20
Let x = 15865 + -666401/42. Find the common denominator of -35/48 and x.
336
Calculate the common denominator of ((-191)/8 + -3)*84/210 - -4 and ((-4)/70)/((-2)/290).
28
Let b(i) = -i**2 - 5*i - 2. Calculate the least common multiple of b(-3) and 41.
164
Let q = 196 + 470. Suppose -2*j + 3*k - q = 0, -2*k = -5*j - k - 1678. Find th