 d(c) = -c**3 + 2*c**2 + 5*c - 3. Let g be d(3). Let k be (-4677)/(-27) + (-12)/54. Suppose -g*z = 41 - k. Calculate the lowest common multiple of 14 and z.
308
Suppose -d + 4*d = 6081. Let p = -103 - d. Calculate the common denominator of -49/5 and (-2)/(-5) + p/200.
20
Let z = 100733/18 + -5591. Calculate the common denominator of -57/724 and z.
6516
Let p be (28/(-56))/(23/52*2). Let n = p + 857/92. What is the common denominator of 44 and n?
4
Let m(y) = y**2 + 5*y - 69. What is the smallest common multiple of 75 and m(13)?
825
Suppose 0 = -3*n - 2*x + 40, -9 = -n - x + 3. Suppose -n*a + 7*a = -270. Calculate the lowest common multiple of a and 21.
210
Let o = -1228181/56 - -21931. Let d = -12/1483 + 40137/11864. Find the common denominator of d and o.
56
Find the common denominator of 105/88 and (2 - 96/44)*-4.
88
Let b be -82 - -5*7/((-140)/8). Calculate the least common multiple of (-44)/(-14) + 12/b and 57.
57
Find the common denominator of (-4)/12*(-3)/((-408)/(-188)) and 5/8.
408
Suppose -8 = -19*r + 17*r. What is the lowest common multiple of 40 and r?
40
Suppose 9*x - 14*x - 15 = 0. Let a = 6 - x. Calculate the smallest common multiple of a and 4.
36
Let b be (28/(3 - 2))/(-1). Calculate the common denominator of (213/b)/3 - 12/(-12) and 23/4.
28
What is the common denominator of -61/10 and 7 + (4 + -15)*2/10?
10
Let q(w) = -3*w - 1. Let f(v) = -3*v**2 - v - 1. Let n be f(-1). Let t be q(n). Suppose 0*k + k - t = 0. What is the least common multiple of k and 2?
8
Let t = -225 - -231. What is the smallest common multiple of 44 and t?
132
Suppose -4*v + 87 = -v. Let c = 51 - v. Suppose -3*w + 58 = -q + 3*q, -w + 10 = -4*q. Calculate the lowest common multiple of w and c.
198
Calculate the common denominator of 5/138 and (-1749)/110*(-2)/(-3).
690
Let t = 592 - 502. What is the least common multiple of t and 54?
270
Let h = 749 + -635. What is the lowest common multiple of 78 and h?
1482
Let p = 33/4 + -199/20. What is the common denominator of -95/6 and p?
30
Let k = 231 + -2459. What is the common denominator of ((-2)/8)/((-9)/(-64)) and (8/18)/2 + k/(-180)?
45
Let h(n) be the third derivative of -n**4/24 + 9*n**3/2 - n**2. What is the least common multiple of h(9) and 20?
180
What is the common denominator of 26/(-2) - 418/44 and ((-16)/14)/(2/3)?
14
Find the common denominator of (((-80)/(-36))/(-10))/(12/(-127)) and 97/30.
270
Let o = -4 - -10. Suppose -g + 6 = -t, 4*t + 10 = -5*g + 40. Calculate the smallest common multiple of o and g.
6
Let n(p) be the third derivative of -p**5/20 - 7*p**4/24 - p**3 + 2*p**2. Let c = 46/49 + -709/196. What is the common denominator of n(-4) and c?
28
Calculate the common denominator of (1/(-33))/((-28)/(-1246)) and -31/60.
660
Suppose -3*a + f + 70 = 0, -3*a - 3*f = -2*f - 74. Calculate the common denominator of 87/4 and 212/a + -3*1.
12
Suppose 0 = -b + 5*k + 27, 0*b + b + k = 15. What is the common denominator of 83/4 and b/44 + 2/(-8)?
44
Suppose 0 = -25*i + 206 + 194. Let t = 0 + 0. Suppose -2*r + 3*r - 4 = t. What is the least common multiple of r and i?
16
Let h(r) = 14*r - 156. Let j(w) = 21*w - 235. Let m(c) = -8*h(c) + 5*j(c). What is the least common multiple of m(7) and 2?
24
Let p(l) = 2*l**2 - 9*l + 18. Let q = -3 - -11. What is the lowest common multiple of q and p(4)?
56
Let j = -11095/204 - 19/68. Let s = 1085/18 + j. Find the common denominator of (2296/288 + -8)*(-1 - 225) and s.
18
Suppose 12*u + 449 = 1241. Calculate the lowest common multiple of u and 99.
198
Suppose f + 0*f + 5*n - 17 = 0, 5*f + 5*n - 25 = 0. Suppose f*o - 20 = o. Calculate the lowest common multiple of o and (-4 - -12)*15/6.
20
Let n(a) = 3*a**2 - 2*a**2 - 1 + 4. Let u be n(-3). Calculate the common denominator of 85/22 and 423/u*(-12)/126.
154
Suppose 4*x = -5*q + 40, -8 = -5*q + 2*x + 2. Suppose 0 = w - q*v + 2*v - 33, -20 = 4*v. Let z = -16 - -22. What is the least common multiple of w and z?
138
Let t be 2/(-3) - (-19579)/29382. Let f = 474979/97940 - t. Find the common denominator of f and -33/10.
20
Let l = 44 + -20. Suppose -2*s + 130 = 24*s. Calculate the least common multiple of s and l.
120
Let b = -131 - -134. Calculate the smallest common multiple of ((-57)/(-38))/(b/20) and 30.
30
Let p = -8140 - -8143. Calculate the least common multiple of 2 - 2 - -4*1 and p.
12
Let a be 2/(-9) - (-12520)/45. Let b = -4693/17 + a. Let i = 7227/3805 + 1/1522. Find the common denominator of i and b.
170
Let d(g) = -15*g**3 - 2*g**2 + 2*g. Let y be d(-3). Let p = y + -737/2. What is the common denominator of (-96)/30 - 0 - (-4 - 0) and p?
10
Let j be (-1)/(1*1/44). Calculate the common denominator of (-2)/j*(2 - -41) and 89/4.
44
Let w = 104 + -155. Let x = w + 57. What is the smallest common multiple of x and 27?
54
Let j = -466 - -476. Calculate the least common multiple of 7 and j.
70
Let r be (18/(-4))/((-37)/74). Let v(j) = j**3 - 9*j**2 - 2*j + 26. What is the smallest common multiple of v(r) and 5?
40
Let k = 783 - 2291/3. Let w = 25 + -18. Let g(v) = -v**3 + 9*v**2 - 8*v - 5. Find the common denominator of k and g(w).
3
Suppose -2*n - 5*i + 47 = 0, -3*i = -3*n + i + 36. Let p = 7545 - 60273/8. What is the common denominator of p and 2/n + (-33)/12?
8
Suppose -4*g = x - 24, -2*x = -0*g - g - 12. What is the lowest common multiple of 188 and x?
376
Let n = -10/52431 - -297634/460920921. Let u = 1485799/263730 - n. What is the common denominator of -25/12 and u?
60
Let l = -15/11 + 145/66. Let y = 2/7431 + -319565/118896. What is the common denominator of y and l?
48
Calculate the lowest common multiple of 6/20 - (-5319)/270 and 158.
1580
Suppose -5*d + 2*d - 18 = 0. Let z = d - -11. Suppose 0 = -2*o - z*u + 19, o - 18 = -2*o - 4*u. What is the smallest common multiple of 11 and o?
22
Let z = -817 + 1048. What is the smallest common multiple of z and 231?
231
Let p = 3 - -1. Let q be p/10 + 1668609/514290. Let d = q - 4/2449. Calculate the common denominator of -81/22 and d.
154
Let k be (2/3)/((-4)/(-108)). Suppose 0 = -18*o + 16*o + k. What is the least common multiple of 11 and o?
99
Suppose w + 4*u - 3 = 2*w, -5*u = -3*w - 9. Calculate the lowest common multiple of 26 + 24/w + 4 and 12.
132
Let t = -98 - -155. Calculate the lowest common multiple of 12 and t.
228
Suppose -2*k - 4252 - 6292 = 0. Let p = k + 31547/6. What is the common denominator of 109/22 and p?
66
Suppose -l + 6 = 2. Suppose -q = l - 22. What is the lowest common multiple of 12 and q?
36
Suppose 31 = -3*a - 4*z, -a + z = a + 6. Let t be 0 - a/((-5)/(-4)). Find the common denominator of 29/2 and (27/(-8))/((-5)/t).
10
Let o = -591 - -228. Let z = o + 3673/10. What is the common denominator of z and (-4)/((-320)/52)*-7?
20
Let a = 144317/378 - 2689/7. Find the common denominator of a and -27/20.
540
Let s = -113/135 + 1/27. What is the common denominator of s and -46/357?
1785
Suppose 2*g = g + 6. Let h = g + 4. Suppose 2*i - i + 3*p = -h, 5*i - 20 = -p. What is the lowest common multiple of i and 10?
10
Let a = -10611/5 + 254339/120. Let b = -104/161 + 19763/1932. Find the common denominator of b and a.
24
Let q = -39925/18018 + 2/1287. Find the common denominator of -41/8 and q.
56
Let z be (3/(-12) - 2)*4. Let d(n) = -n**2 - 12*n - 13. Let t be d(z). Suppose -16 = -5*y + t. What is the lowest common multiple of 20 and y?
60
Suppose -31172 = -12*h + 145396. What is the common denominator of -10/9 and h/4620 + 4/22?
90
Suppose 20*g - 21*g = -138. What is the common denominator of -5 - -2 - g/(-51) and 13/10?
170
Let q(r) = -r**2 + 7*r - 6. Let y be q(4). Let a = y + -21. Let z = a + 16. Calculate the smallest common multiple of 10 and z.
10
Let q = 150 + -94. Find the common denominator of 87/4 and -4 + 7/(q/75).
8
Let i be (1 + 1052)*(2 - (-35)/6). Let b = i - 296881/36. Find the common denominator of 43/8 and b.
72
Let b = 40/357 - -844/357. Find the common denominator of -11/171 and b.
1197
Let i(l) = 12*l**2 + l + 1. Let v be i(-1). Calculate the common denominator of ((-53)/30)/(v/(-30)) and 95/22.
132
Find the common denominator of (-6)/11 + (-18369)/77220 and -101/50.
300
Let t(n) = 2*n**2 + 5*n + 3. Let q be 21/(-9) - 4/6. What is the least common multiple of 8 and t(q)?
24
Let u = -121465/14 + 8683. Let w = -2/1263 - -38