 t(n) = -5*n**3 - 6*n**2 + 8*n - 13. Let l(d) = 6*i(d) + t(d). Calculate the least common multiple of 44 and l(7).
44
Let h = 103656 + -14097123/136. Calculate the common denominator of h and -5/64.
1088
Let j(h) = -2*h**3 - 67*h**2 - 33*h + 44. What is the lowest common multiple of j(-33) and 24?
264
Let f(j) = j**2 + 4*j - 2. Let u(s) = s**3 + 12*s**2 - 12*s + 7. Let i be u(-13). Calculate the lowest common multiple of f(i) and 9.
90
Suppose 5*i - 2*p + 12 = 122, -5*p - 88 = -4*i. Suppose 3*o - 15 = -2*o + 5*u, -4*o - 4*u + 36 = 0. Calculate the lowest common multiple of i and o.
66
Let i = 4609/3 - 1556. Let t = -8/33 + 791/132. Find the common denominator of t and i.
12
What is the smallest common multiple of 6 and (-12)/(-6*7/56)?
48
Let l = 125 - 92. Calculate the least common multiple of l and 144.
1584
Suppose 4*j + 1628 = 3*b, -j = -15*b + 12*b + 407. Calculate the common denominator of 2/(-20) + j/220 and 89/126.
1260
Let y = 70/737 + -44249/23584. Calculate the common denominator of 35/2 and y.
32
Let r = 2181 + -2019. What is the least common multiple of 135 and r?
810
Let b = 158 + -111. Suppose 93 - b = 2*m. Calculate the smallest common multiple of 7 and m.
161
Suppose 5*q + 26 = -2*t, 0*q = 4*t + 5*q + 32. Let v = 4 + t. Let g = 2 + v. Calculate the least common multiple of g and 11.
33
Let k = 47 - 29. Suppose p = -2*f + 4, -2*f = -4*p - 2 + k. Suppose 0 = -v + 3*v - 16. Calculate the lowest common multiple of v and p.
8
Let b(f) = -f**3 - 26*f**2 + 24*f - 71. Calculate the smallest common multiple of 23 and b(-27).
230
Let f(u) = -121*u + 169. What is the smallest common multiple of f(1) and 3?
48
Let b = 648055/2814 + -3219/14. Find the common denominator of b and 6.
201
Calculate the common denominator of (1 - -3) + 60/(-72) and 121/24.
24
What is the smallest common multiple of 200 and (-11)/(88/(-112)) + -10?
200
Let i = -9415/2172 + 1/724. Find the common denominator of i and 15/62.
186
Let j = -3 - -6. Let y(k) = 2*k + 12. Let u be y(-4). Suppose -u*f = 0, f + 11 = g - 3*f. What is the lowest common multiple of g and j?
33
Let p(v) = 5*v - 2. Calculate the smallest common multiple of 8 + 4/8*-8 and p(2).
8
What is the common denominator of (6468/(-144))/(-7) - (-1 + 0) and 8/7?
84
Let l = -25 + 29. What is the common denominator of 67/102 and (5 - l) + (-71)/4?
204
Let k(m) = -m. Let i(j) = j + 7. Let g(r) = -i(r) - 3*k(r). Let t be g(6). Calculate the lowest common multiple of 1/t - (-14)/5 and 6.
6
Suppose -o - 51 = -4*h, -h - 3*o = -2*o - 19. Calculate the least common multiple of (12/14)/(2/h) and ((-32)/20)/(-4)*(1 - -49).
60
Let n = -13207/6 + 2223. Let l = -7/9 + -95/9. What is the common denominator of n and l?
6
Let x = -3241/744 - 60/31. Find the common denominator of -28/33 and x.
264
Let a(z) = 8 + z + 2*z - 2 - 23. Calculate the least common multiple of 40 and a(15).
280
Suppose -7*g - 216 = -25*g. What is the smallest common multiple of g and 18?
36
Let l = -20 - -11. Suppose 0 = -262*x + 265*x - 51. Let p = x + l. Calculate the lowest common multiple of p and 8.
8
Let q = 3864 - 1858. Let g be 1*48003*5/120. Let w = g - q. What is the common denominator of -22 and w?
8
Suppose 14*i = 10*i + 8. Let w(h) = -20 + 0*h**i + h**2 + 2*h - h. Calculate the lowest common multiple of 4 and w(6).
44
Let s = -19967/15 - -1328. What is the common denominator of (5 + 0)*(-42)/(-147) and s?
105
Let c be (3/(-5))/((-201)/2). Let x = 15392/3015 + c. What is the common denominator of x and ((-8)/(-24))/((-2)/15)?
18
Let r = -3671/6 - -596. Find the common denominator of 34/15 and r.
30
Let m = 142 - 139. Find the common denominator of m - ((-5)/12 - (6 - 7)) and -43/3.
12
Let y = 154/19 - 1885/38. Let n = -22349/30 + 2201/3. What is the common denominator of y and n?
10
Let x(w) = w**3 - w**2 - w + 2. Let m be x(0). Suppose -66 = -4*h - m*h. Calculate the least common multiple of 5 and h.
55
Let g(l) = l**3 - 4*l**2 + 3*l. Let u be g(3). Let v(r) = -2*r - 2. Let k be v(u). Calculate the least common multiple of 3/k*(-16)/12 and 1.
2
Let o = -129393/20 + 6467. Calculate the common denominator of -67/2 and o.
20
Let b(a) = -a + 3. Let s be b(2). Let l be 2*(1 + 1) - (-27 - -41). Find the common denominator of 107*(-1)/l*s and 50/3.
30
Suppose -5*a + 0*a = -v - 49, 0 = -5*v + 5. Calculate the least common multiple of 16/(-4) - 900/(-10) and a.
430
Let m = -15 + 17. Let k be m*177/(-12)*-2. Let n = k + -42. Find the common denominator of n and -95/2.
2
Let x = 32 - 23. Calculate the common denominator of 3 - 10/x*39/4 and 39/7.
42
Let u(p) = -3*p - 5. Let q be u(-3). Suppose -5*y = -8*w + 3*w - 50, -q*w = y. Calculate the smallest common multiple of 9 and y.
72
Let z = 6325 - 4510. Calculate the common denominator of z/80*(-10)/(-45) and -51/28.
168
Suppose 4*x = 7*x - k - 4, -3*x = 4*k + 16. Suppose -3*p + 4*p - 75 = x. Calculate the lowest common multiple of p and 30.
150
Let u be (-6268)/(-4)*42/(-2). Let s be (2/(-3))/((-1)/u). Let c = s + 394765/18. What is the common denominator of 61/6 and c?
18
Let u = 10/571 + -39749/19985. What is the common denominator of u and -39/85?
595
Let i(c) = 5*c**2 - 9*c + 5. What is the lowest common multiple of i(-4) and 1?
121
Let q be (-1 + 3)*(-16404)/8. Let c = q - -49289/12. Calculate the common denominator of c and -50/21.
84
Let q(w) = w - 4. Let l be q(6). Suppose -j = l*j + 21. Find the common denominator of 53/14 and ((-511)/(-16))/j + 2.
112
Let h = 1753 - 1293. What is the smallest common multiple of 7 and h?
3220
Let j be -5 + -8 + (-6)/(-2). Let h = 8551 - 188051/22. Calculate the common denominator of (-6)/j + (-1012)/120 and h.
66
Let a(f) = f**2 + 10*f - 34. What is the least common multiple of 160 and a(-13)?
160
Let q = 10869 + -239071/22. Calculate the common denominator of q and -2 - (2 + 51/2).
22
Calculate the common denominator of 1 - (3 - ((-335)/45 + 5)) and 121/10.
90
Let s(w) = 36*w**3 - 9*w**2 + 12*w + 10. Let g be s(9). Let o = g + -871603/34. Let m = 1567/170 - o. What is the common denominator of m and -25/4?
20
Suppose -5*c + 16*c = -54670. Let o = c + 39831/8. What is the common denominator of (-6)/(-10)*210/(-4) and o?
8
Suppose 2*j - 3 - 3 = 0. Suppose -j*z - 5*m = 7, -z - z + 6 = -2*m. Find the common denominator of (-2)/3 - (-494)/(-24) and z.
4
What is the common denominator of (-16)/12*2385/1200 and -119/108?
540
Let w(s) = s**3 + 4*s**2 - s - 2. Let z = -499 + 501. What is the least common multiple of w(-4) and z?
2
What is the common denominator of 67/6 and ((-1)/11)/(27/(-279))?
66
Calculate the common denominator of 36/49 and (18/(-441))/(0 + (-4)/(-50)).
49
Suppose 4*t - 8 = -3*m, -t = -m + 5*m - 15. Let p be (-1)/(-1) - (-6)/6. Suppose 0 = p*y - 11 - 21. What is the smallest common multiple of y and m?
16
Let l = -104 + 108. Calculate the common denominator of 257/36 - (l - (-68)/(-16)) and 49/6.
18
Let u = -1/1890 - -643/756. Let g be ((-641511)/45510)/3 + -1. Let y = -2/1517 + g. Find the common denominator of u and y.
20
Calculate the smallest common multiple of 22 and 10 + -14 + (-138)/(-3).
462
Let y = -11/488 - 2845/976. Calculate the common denominator of y and -6*(-2)/60*15/(-174).
464
Let x = -144 - -170. What is the lowest common multiple of 8 - (4 + -3 + 0) and x?
182
Let x = -174 + 180. Calculate the smallest common multiple of 510 and x.
510
Let n = 37/4 - 215/44. Let h be (13 - 2)/(92/(-3)). Let j = h - 3929/460. Find the common denominator of j and n.
110
Let t(g) = g**3 - 4*g**2 + 3*g + 3. Let i be t(4). Suppose i - 13 = b. Calculate the least common multiple of b and 68.
68
Let x(w) = -4*w + 22. What is the lowest common multiple of 84 and x(-2)?
420
Let s = 261 + -5679/22. Let i = 349/16 + -259/16. What is the common denominator of s and i?
88
What is the common denominator of -13 + (-30)/(-6) - (-273)/45 and 35/18?
90
Let l = -511/2 - -291. Let a = 14302429/14 + -1019119. Let q = a - 2480. Calculate the common denominator of l and q.
14
Let c(g) = g**3 - 7*g**2 - 6*g - 7. Let z be c(7). Let s be (-116)/14 + (-14)/z. What is the common denominator of (-6)/s*858/(-27) and -83/2?
6
Let b = 5553 - 44501/8. Find the common denominator of b and 1 - 2 - (-304)/(-40).
40
Let y(p) = p**3 - 9*p**2 - p + 11. Let d be y(9). Find th