on multiple of d and 9.
198
What is the common denominator of -6 + ((-2149)/168 - -10) + 7 + -1 and -87/118?
1416
Let p(z) = -2*z**3 + 16*z**2 - 12*z - 7. Let w be p(7). Suppose w*n = 9*n - 6. Calculate the smallest common multiple of n and 1.
3
What is the common denominator of -1/1376 and (7 - 15 - 4) + (-2009)/(-172)?
1376
Suppose 7 = 3*a + 4*a. Suppose -b = a - 2, 238 = -5*y - 2*b. Calculate the common denominator of -131/18 and (-9)/y*200/(-4).
72
Let s(n) be the second derivative of 101*n**3/6 - 29*n**2/2 - 320*n. Calculate the least common multiple of s(1) and 162.
648
Suppose 0 = -2*c + 3*s + 310, 3*c - 90 - 375 = 4*s. What is the lowest common multiple of c and 130?
4030
Let i = 215047/3510 + -4128/65. Find the common denominator of i and 89/432.
432
Let p = -4384 - -5328. What is the smallest common multiple of p and 16?
944
Let n(w) = w**3 + 7*w + 6 + 0 - 2*w**2 - 5 - 5*w**2. Calculate the smallest common multiple of n(6) and 58/10 + 26/130.
42
Suppose 5*a + 15 = 6*a + x, 0 = 4*x + 8. Let p = a - 147/8. Calculate the common denominator of p and 7/328.
328
Let r(b) = 117*b**2 + 29*b + 54. What is the least common multiple of 20 and r(-3)?
1020
Let q = -2834/11 + 16865/66. Find the common denominator of q and (-6)/8 - (-146)/144.
792
Let o(u) = 67*u - 588. Let b be o(13). Let p be 4606/(-16) - (-1)/4. Let c = p + b. What is the common denominator of c and -47/4?
8
Let i = -37813/3 - -26015119/2064. Calculate the common denominator of -101/80 and i.
3440
Suppose -189*v = -29429 + 5993. What is the least common multiple of 248 and v?
248
Let u = 877 - 878. Let w(n) = 67*n + 70. Calculate the lowest common multiple of w(u) and 83.
249
Let q be (-7 - -4)/((-6)/(-4388) - 0). Let v = q + 5130. Let h = -26480/9 + v. Calculate the common denominator of h and 73/33.
99
Let s be -60*(4 + 1212/195). Let i = -142033/234 - s. What is the common denominator of i and (1 - 2) + 142/(-12)?
18
Let n = 20157/15799 + -75/61. What is the common denominator of -50/259 and n?
259
Suppose 138 = 10*m - 162. Suppose 0 = -4*y - 20*z + 15*z + 65, -5*y = -z - 74. Calculate the smallest common multiple of y and m.
30
Let l(m) = m**3 + 8*m**2 - 3*m - 12. Let q(p) = 101*p - 691. Calculate the lowest common multiple of l(-8) and q(13).
3732
Suppose -4*m + 2*n = -582 - 856, 5*n = 5. Let b = 16597 + -16576. What is the least common multiple of b and m?
2520
Suppose -12*u = 3935 + 4381. Calculate the common denominator of 4/(-7) + 5456/u and ((-27)/(-16))/((-9)/(-6)).
72
Calculate the common denominator of (-1005)/72 + 10/16 and -58/45.
45
Let c be 5 + -7 + 1 - (7 - 3). Let t(u) = -u**3 - 5*u**2 + 4*u + 22. Calculate the smallest common multiple of 182 and t(c).
182
Let n = -2911421/52 - -55987. What is the common denominator of n and -47/234?
468
Let q be 4*7/(-35)*-3*5. Suppose 9*r = q*r + 29142. Let s = 116681/12 + r. Find the common denominator of 47/16 and s.
48
Let i = -34133/2100 - -2/525. Calculate the common denominator of i and -10 + -6 + 10 + (-4)/(-5).
20
Let c(l) = 565*l - 2580. Calculate the smallest common multiple of c(24) and 12.
10980
Suppose -2*i - 100 + 20 = 0. Suppose -5*y + 20 = -0*y. Calculate the least common multiple of (i/(-6))/(8/12) and y.
20
Let u = -40/471 + 16379/32028. Calculate the common denominator of u and ((-15)/4 - -3)/(4680/(-1278) - -4).
544
Calculate the common denominator of ((-39259)/(-286))/(-43)*1 and 25/5088.
66144
Let r = 20240/3477 - 308/61. Let c = -4297/1596 - r. Find the common denominator of 13/8 and c.
56
Let z be (-2)/(-694)*554 + (-2 - 0). Let t = 16091/22902 - z. What is the common denominator of -127/36 and t?
396
Let z be 2/(-3)*((-271)/(-184) + -1). Let s = z - 1009/46. Calculate the common denominator of s and -29/438.
876
Suppose 22*z = 17*z + 75. Suppose 89 = z*w - 286. What is the lowest common multiple of w and 30?
150
Suppose 2*k - 4*q = 20, -q + 6*q - 5 = -5*k. What is the lowest common multiple of k and 38?
76
What is the common denominator of ((-30)/(-675))/((-36)/790*8/3) and -23/2448?
7344
Calculate the common denominator of 101/444 and (1/(-26))/(23 - (-26686)/(-1166)).
5772
Let g be (-110)/(-1)*4/(-10). Let n = 42 + g. Let k(w) = -3*w - 5. Calculate the common denominator of -27/10 and k(n).
10
Suppose 2*k = 4*k - 6, -10 = 5*r - 5*k. Let h = 20 - -16. Suppose 32*p + 32 = h*p. What is the lowest common multiple of p and r?
8
Let n = 58539/2636 + 28/659. What is the common denominator of n and 63/22?
44
Suppose -d + 350 = 41*u - 38*u, 0 = 5*u + 4*d - 581. What is the smallest common multiple of 390 and u?
1170
Let f = 1402783/16800 + -8351/100. Find the common denominator of 53/42 and f.
3360
Find the common denominator of 3/568 and (-5249)/(-174) - 30 - -1817*2/(-21300).
14200
Suppose -4*p - 617 = 159. What is the common denominator of -109/434 and 2 + p/(-32) + -65 + 62?
3472
Let x = 91 - 96. Calculate the common denominator of -47/70 and (-2)/((-1467)/(-267) + x).
770
Suppose 4*m + 30 = -c + 3*c, 0 = -4*m - 20. Suppose 36*a - 29*a - 3668 = 0. Let j = a + -516. What is the least common multiple of c and j?
40
Calculate the common denominator of 1 + -2 + 2728/3520 - -1 and -31/672.
3360
What is the common denominator of 53/20 and ((-1752)/(-880))/(378/35)?
1980
Let g be 10 - 25/5 - 0. Calculate the common denominator of (112/828)/14*(1 + g) and -85/36.
828
Let j = 6652 + -6020. What is the least common multiple of j and 64?
5056
Suppose -a = 2*x - 8, -2*x + 8 = 5*a + 16. Find the common denominator of (462/(-54))/((-10)/x) and 41/381.
1905
Suppose 7*x - i - 36 = 2*x, -2*i + 32 = 3*x. Suppose 9*g + 162 = -0*g. Let z(p) = -p**2 - 18*p + 6. Calculate the least common multiple of z(g) and x.
24
Suppose 3*s - 44*p = -47*p + 420, -3*p + 12 = 0. Suppose -3*o + s = 5*o. Calculate the lowest common multiple of 9 and o.
153
Suppose -2*n + 4*h - 42 = -0*n, -n + 3*h = 20. Let y be (n/((-161)/(-420)))/((-1)/2). Suppose y = 3*q + 3*q. Calculate the least common multiple of 20 and q.
20
Let p = -137 + 485. Calculate the lowest common multiple of p and 34.
5916
Let k = -1937276/68462685 + -4/34735. What is the common denominator of 55/81 and k?
5913
Suppose -3*p - 5*t + 24 = 0, 4*p = 8*p + 4*t - 24. Let a = 7391/2692 + 3/673. What is the common denominator of a and ((-6)/(-8))/(p/182)?
4
Let j = 3/3052 - 28249/18312. Calculate the common denominator of (2546/335)/(2 - (-82)/10) and j.
408
Suppose -278*j + 2574 = -272*j. What is the smallest common multiple of j and 5?
2145
Let y be 2*(-4 + (-93974)/(-23492)). Let p = -21919706/36793 - -5170774192291/8643411560. Let i = y - p. Find the common denominator of i and 39/16.
80
Let h(u) = 4*u**3 + 5*u**2 + 172*u - 534. What is the smallest common multiple of h(3) and 45?
135
Let c(u) = -u**3 + 41*u**2 - 2*u + 78. Let b be c(41). What is the smallest common multiple of b*(-15 + 9 + (5 - 1)) and 80?
80
Suppose -5*u = 3*a - 54, -2*a + 4*u + 36 = -u. Suppose g = -4*g - 690. Let l = -114 - g. What is the smallest common multiple of l and a?
72
Find the common denominator of (-9 + 13)*2/((-72)/46) and (-278)/4*29/957.
198
Let o be (-6*(-18)/81)/(4/3). Suppose -h = -3*x + 22, 3*x + o - 26 = 4*h. What is the least common multiple of x and 62?
434
What is the lowest common multiple of 36 and (0 - 2)/(-1)*(-42900)/(-260)?
1980
Find the common denominator of (135/75)/(-4*8/140) and 47/1896.
1896
Suppose -5*a - 95 = 5*d - 10*a, 86 = -5*d + 2*a. Find the common denominator of 6*(-5)/16 - -2 and 3/d*(-1180)/45.
24
Let l = -3213/10 + 12729/40. What is the common denominator of 57/32 and l?
160
Let g = -144491/100 - -1444. Calculate the common denominator of g and 113/30.
300
Let l = 191629/36 - 5322. Let z = 208544/3 + -2019053/30. Let g = z + -2206. Find the common denominator of g and l.
180
Suppose 5*k - 66 = -i, 61 = 2*k - 4*i + 17. Let y(p) = -6*p - 12. Let m be y(-5). What is the least common multiple of (-4)/(-4)*m + 2 and k?
140
Let q(j) = -17*j**2 + 12*j - 10. Let n(d) = 33*d**2 - 24*d + 21. Let b(w) = -6*n(w) - 13*q(w). What is the least common multiple of b(2) and 18?
72
Suppose -4*k = -6*k + 14. Let d(h) = k*h**2 + 6*h**2 - 14*h**2 - 8 + 7*h. Calculate the least common multiple of 7 and d(5).
14
Suppose -u + 5*y - 6 = 0, 0 + 2 = y. Calculate the common denominator of (-