 6*k + 6. Let p(i) = 11*i**2 + 17*i - 18. Let a = -23 + 26. Let j(g) = a*p(g) + 8*t(g). What is the least common multiple of 3 and j(-5)?
12
Suppose -11*g + 609 - 235 = 0. Calculate the lowest common multiple of g and 2.
34
Let k(y) be the third derivative of y**5/60 - 7*y**4/24 - 3*y**3/2 + 3*y**2. Let j be k(7). Let p = j - -20. Calculate the smallest common multiple of p and 9.
99
Let r = 1219 + -1189. Calculate the least common multiple of r and 0/(0 + -1) - -3.
30
Let o = 6/2459 + 164543/86065. Calculate the common denominator of o and -89/40.
280
Let o = 290 + -291. Let b = 115 + -577/5. Let a = b + o. What is the common denominator of 63/2 and a?
10
Suppose 5*p - 2*v - 3*v + 55 = 0, p - 4*v = -26. Let z(q) = -q**3 - 5*q**2 + 13*q + 6. Let s be z(-6). What is the common denominator of -79/8 and 20/s*(p + 1)?
72
Let b = 2085/869 + -99/158. Find the common denominator of b and (1 - 1) + 177/12.
44
Suppose 0 = -3*x + u - 2, -x + 2 + 0 = -u. Let k = -28 - -22. Let p = x - k. Calculate the lowest common multiple of 4 and p.
4
Let d = 407 - 374. What is the lowest common multiple of 114 and d?
1254
Suppose 28 = 6*a - 38. Suppose 3*b = -b - c + 43, -5*c + a = 3*b. What is the lowest common multiple of 22 and b?
132
Suppose -2*d + j + 80 = 0, 2*d = 5*j + 84 - 4. Calculate the lowest common multiple of 180 and d.
360
Let p(l) = 77*l - 5. Let b be p(11). Let f = b + -3311/4. What is the common denominator of 47/10 and f?
20
Calculate the common denominator of 4233/850*(115/30 - 4) and -127/600.
600
Let b = -6 - -9. Let i be 2 + 6337 + -3 - b. Let p = 139301/22 - i. Find the common denominator of p and -97/16.
176
Suppose -15*m + 14*m + 31 = 0. Suppose m = 4*p + 23. Calculate the smallest common multiple of p and 10.
10
Let j = 23 + -11. Suppose 2*w - 5*f = -17, -2*w - f + 3*f = 2. What is the least common multiple of j and w?
12
Let n be (-4)/(-12) - 7/3. Let i = 7 - n. What is the least common multiple of (-153)/(-27) - (-2)/(-3) and i?
45
Let b be 0 - (1 - 17/1). Suppose 4*a - 3*a - 4*f = -2, 0 = 4*f - b. Let p(z) = 4*z + 2. What is the smallest common multiple of p(1) and a?
42
Let y = 9605661/275 - 890877/50. Let w = -17115 + y. Find the common denominator of -77/20 and w.
220
Let j = 424449/124430 + -1542/541. Find the common denominator of j and -101/8.
920
Suppose -7*l + 3*l = -4*v + 28, 3*l - 21 = -4*v. Calculate the smallest common multiple of v and 236.
708
Let v be (145502/15)/(192/80). Let b = -4045 + v. Find the common denominator of (-5*2)/(16/3) and b.
72
Let h = 45 - 42. What is the common denominator of (2/(-10))/(h/141) and (-76)/(-44) + -1*1?
55
Suppose -2 - 152 = -7*l. What is the lowest common multiple of l and 108?
1188
Suppose -3*c + 56 + 28 = 0. Let i = 59681/10 - 5975. Find the common denominator of i and ((-2)/c)/(2/162).
70
What is the least common multiple of 180 and 60/36 + (-61)/(-3)?
1980
Find the common denominator of 6 - ((-1671)/2106 + 7) and -37/14.
4914
Let p(a) be the third derivative of 3*a**4/8 - 8*a**3/3 - 5*a**2. Calculate the smallest common multiple of p(2) and 6.
6
Suppose -315 = -4*d + 421. What is the lowest common multiple of 2 and d?
184
Let a be -1 + 9/3 + 301/(-80). Let j = 27/10 + a. Let p = 12/137 + 5247/1096. Calculate the common denominator of p and j.
16
Suppose -z - 5*j = -9, j = -5*z + 6*j + 15. Let c = z + 0. Suppose -17 - 47 = -5*b + c*l, 2*l + 40 = 3*b. What is the lowest common multiple of b and 20?
80
What is the common denominator of 58/45 and 1/(16275/(-577)) - 14/(-175)?
9765
Let d = -14 + 42. What is the smallest common multiple of d and -2 + (15 - 12/(-4))?
112
Let x(w) = w**2 - 1. Let y be x(2). Let p(i) = i. Let a be p(y). Suppose v = a*v - 20. Calculate the lowest common multiple of 8 and v.
40
Let d = 44/133 - 1437/266. Find the common denominator of -79/142 and d.
994
Let o(h) = h**3 - 4*h**2 + 4*h - 18. What is the smallest common multiple of o(5) and 54?
54
Let n be -2 - (-4 + 2 + -3). Suppose 4 = -n*y + 16. Calculate the least common multiple of y and 4.
4
Let j be 7 + -36 + 1 + -5. Let s = 41 + j. What is the smallest common multiple of s and 4?
8
Suppose -102*i - 1680 = -114*i. What is the least common multiple of 42 and i?
420
Let x = -197 + 1374/7. Find the common denominator of x and 41/9.
63
Let l(i) = -35*i - 24. What is the smallest common multiple of l(-3) and 15?
405
Let o = 835 + -805. What is the least common multiple of 3/(6/10) + 1 and o?
30
Let x(s) = -6*s + 27. Let z be x(7). Calculate the common denominator of -35/2 and ((-6)/z)/(70/(-1975)*-2).
14
Suppose 2*f - 8 + 4 = 0. Suppose -f*o = b + o + 8, -5*o - 16 = b. What is the least common multiple of 11 and b?
44
Let g(v) = -35*v. Let q be g(2). Calculate the common denominator of 65/14*14/q and -125/18.
126
What is the common denominator of 31/((-10013)/(-34)) - 5266/(-1596) and -17/30?
210
Find the common denominator of -29/9 and 3/2 + (5149/(-186))/19.
279
Calculate the common denominator of 1593/(-132) - 42/231 and 3/(-7)*(-111)/18.
28
Suppose 4*v + l = v - 39, 5*l - 1 = -v. Suppose 386*d - 379*d - 28 = 0. Calculate the least common multiple of d and (v/(-5))/((-4)/(-20)).
28
Let i = 1887/790 + -7/79. Let n be ((-20)/360)/((-1)/181149). Let m = n + -10086. Calculate the common denominator of i and m.
30
Let x = 84 + -196. Let c = x - -118. Calculate the least common multiple of 28 and c.
84
Suppose 0 = -4*q - 2*w + 72, 7 + 13 = q + w. Suppose -16*r + 20*r - q = 0. Calculate the smallest common multiple of r and 62.
124
Let m(r) = -r**3 + 5*r**2 + r + 7. Let h be m(5). Suppose 6*n + h = 7*n. What is the lowest common multiple of n and 2/6 - 69/(-9)?
24
Let b = -186 + 189. What is the least common multiple of b and 34?
102
Suppose 0*g - 132 = -6*g. Let d = -93 + 131. Calculate the lowest common multiple of d and g.
418
Let o = -23/2470 + 5751/17290. Calculate the common denominator of 59/114 and o.
798
Find the common denominator of (3 + -2)/(32/11) and 31/(16740/1143) + (-12)/10.
96
Let p(h) = h - 3. Suppose -17*c - 21 = 2*f - 22*c, -5*c + 25 = 0. Calculate the smallest common multiple of f and p(21).
18
Let i = -1/61 - -811/8540. Calculate the common denominator of -25/252 and i.
1260
Let l(k) = 143*k**3 + k**2 - 5*k + 1. Let a be l(2). Let f = a + -329169/289. Let v = 12419/1156 + f. Find the common denominator of 97/12 and v.
12
Let q(c) = -2*c**2 - 12*c - 12. Let o be q(-7). Let h = 28 + o. Suppose -h*l + 18 + 2 = 0. What is the lowest common multiple of 3 and l?
30
Let x = 0 + 4. Suppose -622 = -x*g + 1650. Let c = -2173/4 + g. Calculate the common denominator of c and -57/20.
20
Suppose -5*m + 0*m = -45. Suppose -4*i + m = 3*g, i - 5*g + 3 = 11. Suppose -i*z + 18 = x, z + 3*x - 10 = 4*x. What is the lowest common multiple of 9 and z?
63
Let d = -23183689/192 - -120748. Find the common denominator of d and 47/4.
192
Let a = -56986837/15 - -3806198. Let u = a + -7079. Find the common denominator of u and -41/24.
120
Let k = 4291 - 42813/10. Let r = 7739/1520 + 21/95. What is the common denominator of r and k?
80
Suppose 5*o - 114 = -14. Suppose -5*i - 39 = -w, 6*i + 44 = i - 4*w. Let u = o + i. Calculate the lowest common multiple of u and 14.
84
Let a = 278 - 401. Let k be (-2)/(-14) - a/21. What is the lowest common multiple of 4 and (-56)/(-21) - 4/k?
4
Let z = 54853/9 - 6083. Let c = -11 + z. Calculate the common denominator of -27/8 and c.
72
Suppose -4*d - o + 48 = -2*o, 4 = -o. Suppose 0 = -3*f + 4*f - 10. What is the smallest common multiple of d and f?
110
Let v = 885817/80 + -11073. Find the common denominator of 67/60 and v.
240
Calculate the common denominator of -3/22 and (-10 - 38/(-5))*(-20)/66.
22
Let o(v) = v**2 - 14*v + 58. Calculate the smallest common multiple of 176 and o(6).
880
Let d = -97 - -157. Let s = -135749/12 + 11325. Calculate the common denominator of s and 50/(-8)*8/d.
12
Let i = 198556/21 + -9457. Let a = -1 - -6. Calculate the common denominator of i and 4/(((-90)/23)/a).
63
Suppose -7*c + 180 = 3*c. Suppose 4*w - 16 = -0*w. Calculate the least common multiple of w and c.
36
Let t(o) = -o**3 + 11. Let u = 1 + -1. Calculate the least common multiple of t(u) and 200/(-60)*(-2)/4*3.
55
Suppose -5*b + 0*u + 465 = 5*u, -4*b = u - 363. What is the lowest common multip