 -12*k - 6*k**2 - 11*k**2 - 2 + 2*k**3 + 21*k. What is the smallest common multiple of d(9) and 45?
1440
Let p be 199377/(-702)*(1 - -1). Let a = p - -568. What is the common denominator of -101/12 and a?
156
Find the common denominator of 5 - (32157/2430)/(7/3) and -1/174.
6090
Let z(l) = 5*l**3 - 51*l**2 - 36*l - 48. What is the least common multiple of z(11) and 225?
1800
Suppose 2*r - 28 = -5*x, 4*r + 0*x + 4*x = 44. Let y = -640/3 - -234. Find the common denominator of (12132/256)/r + -5 and y.
192
Let n(p) = p**2. Suppose 4*c - 9*c = 10, -369 = 3*r + 3*c. Let m = -110 - r. Calculate the smallest common multiple of m and n(-1).
11
Let r = 1293/10292 - -19/372. Find the common denominator of r and 43/141.
11703
Let q(h) be the second derivative of 0*h**2 - 1/2*h**3 + 0 - 34*h. What is the smallest common multiple of 18 and q(-2)?
18
Let d = -8238 + 8618. Calculate the lowest common multiple of d and 114.
1140
Let d = -1148273/7000659 - 24/21023. Find the common denominator of -59/63 and d.
2331
Suppose 1200*c + 1779 = 3*a + 1201*c, -1743 = -3*a + 5*c. Calculate the least common multiple of a and 63.
12411
Let h be 0/16*(-1 + 0). Suppose -2*a = -2*q - h - 8, -a - q + 12 = 0. Calculate the least common multiple of (4/12)/(9/108) and a.
8
Let l = 303077/2 + -2820761/18. Let m = l - -5176. Find the common denominator of m and -7/3.
9
Suppose -5*h + 0*h + 20 = -4*n, -16 = 5*n - 4*h. Let t(z) = z**2 - 1220*z - 7351. Calculate the lowest common multiple of 1 - (n + 1) - -3 and t(-6).
15
Suppose 3*p - 247*p = -336720. What is the lowest common multiple of 2070 and p?
4140
Suppose -2*k + 4*j - 686 = 0, -3*j + 1023 = -3*k - 0*k. Let o be ((-5470)/(-12))/((-40)/30). Let p = o - k. Find the common denominator of 35/3 and p.
24
Let t(q) = 2*q - 13. Let y be t(8). Find the common denominator of y/(12/16) - (-30)/4 and 1 - 3 - 56/6.
6
Let k = -481357/20 - -24069. Let b = -8681/154 + 407/7. What is the common denominator of b and k?
220
Let k(f) = 4*f**2 + 3*f - 1. Let v be k(2). Let p = 53/40 + -1251/280. Find the common denominator of (-10)/(-4)*v/195 and p.
182
Calculate the common denominator of 127068/6336 + -9 + -11 and -101/6.
528
Let t = -7/94 - -149/423. Calculate the common denominator of (((-14)/49)/(-5 + -1))/1 and t.
126
Let l(q) = 10*q**2 + q - 2. Let k be l(-2). Suppose -12*o = 6*o + k. Calculate the common denominator of o/6 - 170/288 and -41/6.
144
Suppose 2 = 3*w - 61. What is the common denominator of (-2)/2 + w/30*-1 and -19/2?
10
Let x = 19510667819/135240 - 3318106/23. Let r = x - -68/147. Let h = 450193 - 12605429/28. Find the common denominator of r and h.
280
Find the common denominator of 17/888 and (876528/(-3663))/12 - -20.
9768
Let j(x) = 134*x + 5. Suppose 106*f = 104*f - 2. Let k be j(f). Let t = k + 139. What is the smallest common multiple of t and 5?
10
Let l(v) = 55*v**3 - v**2 - v + 1. Let q be l(1). What is the common denominator of (-3)/q*(-354)/(-9) and -5 + 10602/(-1512) - 28/49?
108
Let a(z) = -86*z + 448. What is the least common multiple of 222 and a(5)?
666
Let g = 138248308 + -333040200874/2409. Let o = g - -1/1606. Let r = 431/266 + 9/38. Find the common denominator of o and r.
42
Let a = 69 - 57. Suppose a*w - 88 = 20*w. What is the common denominator of -45/8 and (-2)/w + (-16397)/(-2926)?
56
Let f = -140197/14 + 10012. Find the common denominator of f and -113/108.
756
Let r = -61 - -91. Suppose 27*f = r*f - 66. Calculate the smallest common multiple of 22 and f.
22
Let i = 104 - 347. Calculate the common denominator of (i/18)/(69/6) and -13/4.
92
Let r(i) = -i**2 - 7*i - 3. Let t = 558 + -555. Calculate the least common multiple of t and r(-5).
21
Suppose 8*q - 2*q = 18. Suppose -g - 12 = q*g. What is the smallest common multiple of 11 and 0/2 - (g - 3)?
66
Let t = 133/5 - 27. Let d = 10/3 - 68/15. What is the common denominator of t and d?
5
Suppose -3*h - 16 = -7*h. Suppose 0 = -f + h*f - 9. Suppose 0 = 5*g + 50, 356*m - 3*g = 359*m + 21. What is the lowest common multiple of m and f?
3
Let l(h) = -h**3 - 19*h**2 - 270*h - 50. Calculate the lowest common multiple of 77 and l(-10).
19250
Calculate the common denominator of 6/60*-2 + 4573/4590 and 55/72.
216
Let o(i) = 5*i**2 + 16*i + 4. Let c = -123 + 120. Let q be o(c). Calculate the common denominator of -41/6 and (-14)/48*(-76)/q.
6
Let q = -339 - -345. Suppose 2*r = -2*r + 512. Calculate the least common multiple of q and r.
384
Let v = -7147 - -21457/3. Find the common denominator of ((-4)/(-10))/(4/(-135)) and v.
6
Suppose -353558 = -375*r - 99683. Calculate the lowest common multiple of r and 677.
677
Let k be (-12)/(-54) - (-32)/18. Let z be 2504/(-264)*2271/k. Let r = -10768 - z. What is the common denominator of -83/242 and r?
242
Let k = 4/1495 + 103139/5980. Find the common denominator of k and -55/939.
3756
Let u be (126/12*-4)/(-2). Find the common denominator of ((-427)/u)/(88/(-6)) and -17/44.
44
Let y be ((-4)/96)/(2353/(-437866)). Let q = -2/543 + y. Let n = -163/8 + 679/40. Find the common denominator of q and n.
20
Let n(a) = -1014*a - 43600. Let s = 23 - 10. Calculate the lowest common multiple of s and n(-43).
26
Suppose -963 = -51*c + 1700 + 1876. Calculate the lowest common multiple of 129 and c.
11481
Let a = 199625/47664 - 2/2979. What is the common denominator of 51/130 and a?
1040
Let m(f) = f**3 - 9*f**2 + 15*f + 15. Suppose 3*g - 14 = 7. Suppose -5*w - 5*d = -25, -4*w + 2 + 13 = 5*d. Calculate the lowest common multiple of w and m(g).
110
Suppose -h + 7*h + 864 = 0. Let r be h/60 - 2/(-5). What is the least common multiple of 4 and (-2 - -12)*(-5 + 4)*r?
20
Let i = -1 + -1. Let a = 45119/95 - 8792/19. Calculate the common denominator of a and (2/(-11))/(1 + i).
55
Let q = -11567 + 12347. Calculate the least common multiple of q and 300.
3900
Let u be (36/16)/(12/(-128)). Suppose -97 = -4*v - 14*h + 15*h, 77 = 3*v - 5*h. Calculate the smallest common multiple of v and (-5*u/(-32))/((-3)/16).
120
Calculate the common denominator of 40/93 and ((-44)/18)/((140/210)/(2/(-31))).
93
What is the common denominator of 109/340 and 1 + -7 + (-3340)/(-450) + (-18)/(-27)?
3060
Let a(k) = -k**3 - 2*k**2 - 6*k - 2. Suppose -16*n + 32 = -24*n. What is the smallest common multiple of 27 and a(n)?
54
Let c be ((-4)/132)/(1 + 19698/(-19692)). Let y = c + -7652/77. What is the common denominator of 173/42 and y?
462
Let u = 17833 - 1373195/77. What is the common denominator of u and 12/245?
2695
Let j(d) = 8*d. Let c = 2484 - 2424. Calculate the smallest common multiple of j(3) and c.
120
Let f(u) = -u**3 + 22*u**2 + 26*u - 51. Let i = -324 + 347. What is the smallest common multiple of 72 and f(i)?
72
Suppose 0 = 17*q - 15*q + 12. Find the common denominator of 2610/(-252) + (-15)/q and 99/292.
2044
Calculate the common denominator of 250/(-136) - 6/(-24) and -7*26/91*(-40)/14.
119
Let r = 70 + -72. Let n be (r - -2) + -1 + 10 + -5. Suppose v = -5*u - 0*v + 14, -n*v = -4*u - 8. What is the lowest common multiple of u and 184?
184
Let f = -7449093822522293/138520 - -53776305389. Let k = 2/3463 - f. Calculate the common denominator of -29/5 and k.
40
Suppose -5*l + 875 = 5*k, 3*l - 169 = 2*l - 3*k. Calculate the least common multiple of l and 4.
356
Let w = 12664 + -126741/10. Calculate the common denominator of w and (0 + (-4)/(-18))/(2384/348).
4470
Let v = -1892 - -2448. Calculate the lowest common multiple of v and 10.
2780
Let c(i) = i**2 - 24 + 71*i - 12 - 78*i. Let r(n) = -n**3 + 5*n**2 + 2*n - 4. What is the least common multiple of r(3) and c(-5)?
120
Calculate the common denominator of 21/655 and (3/3537)/((-60)/480).
5895
Let y = 409 - 405. What is the lowest common multiple of y and 1576?
1576
Let d be ((-23066)/76)/(11/(-8)). Let p = d - 435/2. Let q = 904 - 9107/10. What is the common denominator of q and p?
110
Find the common denominator of 110/(-66) + 3560/2208 and 89/14.
644
Let z be 3 + (-1 - (2 + -1)). Find the common denominator of 8/80*(-78)/z and (88/10)/(54/(-10)).
135
Suppose -5*f + 60 = 5*u, -3*u = 5*f - 7 - 51. Let o = -775 + 811. Suppose 19 = 5*d - o. What is the lowest common multiple of f and d?
11
Let u = -262 - -42. What is the common denominator of 2/11 - 697/u and (43/(-22) + 2)/(-12 - (-19 - -8))?
220
Let l