 the common denominator of (-75)/(-25) + ((-230919)/(-6120))/(-13) and -70/9.
6120
Let x = -93978837/569 - -165165. Let y = x - 34586/18777. Calculate the common denominator of -55/102 and y.
1122
Let a(x) = x**3 - 4*x**2 - x + 5. Let j be a(4). Calculate the least common multiple of j/(-4*3/(-84)) and 12.
84
Let r = 96/1985 + -531908/589545. Let t = -13/135 - r. Calculate the common denominator of t and 26/11.
33
Let p = 14072/9 - 1571. What is the common denominator of 26/(-2) + 3530/180 and p?
18
Let f(i) = 5*i**2 + 176*i + 363. What is the least common multiple of f(-35) and 48?
1968
Let i(d) = -4*d**2 + 14*d - 40. Let g(u) = -5*u**2 + 14*u - 40. Let f(k) = 3*g(k) - 4*i(k). What is the smallest common multiple of f(0) and 36?
360
Let v(x) be the third derivative of x**6/120 + x**5/2 + 55*x**4/24 + 22*x**3/3 - 5*x**2 + 9*x. What is the smallest common multiple of v(-28) and 128?
1152
Let z be (4 - -1) + 20682/(-12). Let k = z + 1759. Suppose -5*a + 60 = 5*h, 2*h + 5 = 7*h. Calculate the common denominator of k and a.
2
Let z be ((-36)/(-48))/((-6)/(-248)). Find the common denominator of (-1 - 0)*z*(-13)/897 and -85/21.
483
Let b be 7/14*(4 + 4 + -2). Suppose -b*n + 5*n + 2 = 0. Calculate the common denominator of (-4 + 438/112)*n and -81/16.
112
Let g = 187 - 175. Calculate the least common multiple of g and 24/32 + (-186)/(-8).
24
Let d(q) = -q**3 - 10*q**2 - 8*q + 3. Let f be d(-9). Let k be 3/(9/f)*-5. Suppose -137 - 3 = -k*s. Calculate the lowest common multiple of s and 12.
84
Suppose 9*x - 458 = 8*x. Suppose 0 = -4*n + 3*p - 930, -6*n = -4*n + 2*p + x. Find the common denominator of -44/25 and (324/n)/((-2)/(-7)).
275
Suppose 5 = 154*j - 155*j, f = 5*j + 310. Calculate the least common multiple of 1995 and f.
1995
Let s be 1 + 8 + -1 + -3. Find the common denominator of -91/36 and 2871/432 - s - 1*2.
144
Let s = -3/5374 - -204365/274074. Let z = -161270 - -1872989779/11614. Let p = z - 159688/52263. Find the common denominator of s and p.
306
Suppose 0 = 4*m - 5*k + 54, -k = 4*m + 42. Let f = m + 31. Let o(p) = p + 12. Calculate the least common multiple of f and o(-4).
40
What is the common denominator of -243*3/(-20700)*1535/6 + -9 and 143/2208?
11040
Let m = -111/208 + 24/13. Let n = -8142 - -162801/20. Calculate the common denominator of n and m.
80
Suppose 232 = 20*v - 18*v. Let m = -106 + v. What is the least common multiple of m and 9?
90
Calculate the common denominator of (18/(-117) + 38/(-260))/((-50)/(-420)) and 42/305.
1525
Suppose -2*z - 1 = -3*z. Calculate the common denominator of (-3211)/342 - -6*z and 7/50.
450
Suppose -3*g - 21 = -302*r + 298*r, -3*r + 20 = 2*g. Calculate the least common multiple of r and 32.
96
Let b(z) be the first derivative of -2*z**3/3 + 29*z**2/2 + 57*z - 47. What is the least common multiple of 90 and b(16)?
90
Let y = -271/39 - 57/13. Let k(d) = d**3 - 19*d**2 - 43*d. Suppose -5*u = 4*h - 59, -4*h - 3*u + 104 = -7*u. What is the common denominator of y and k(h)?
3
What is the least common multiple of 21 and 9274/11 - 95/1045?
5901
Let p(w) be the second derivative of w**3/6 - 2*w**2 - 2*w - 2. What is the lowest common multiple of 548 and p(7)?
1644
Suppose 5*p = 4*i + 198, p - 3*p + 93 = 3*i. Let c(f) = -f**3 - 99*f**2 + 411*f - 68. Calculate the least common multiple of c(-103) and p.
210
Let o = 89627/34 - 2637. Find the common denominator of ((-292)/(-20))/(3/5 - 1) and o.
34
Suppose -4*g = -3*g - 3837. Let b = g + -15435/4. Find the common denominator of (43/(19995/(-2759)))/(32/10) and b.
48
Let p = -340 - -781. Find the common denominator of (-4)/(-1 - -2)*343/p and -37/48.
144
Suppose -2*p = -3*m - 2290 - 2937, -3*m = -p + 2606. Let x = 15803/6 - p. Find the common denominator of x and 19/6.
6
Let k = 168767627/1369 - 123278. Find the common denominator of k and 47/28.
38332
Suppose 4*l - 1 = 3*q + 3, -2*q = 3*l - 3. Let o = 238343/45 - 5296. Calculate the common denominator of o and (155/(-50) - -4) + q.
90
Suppose -56*x - 2*x + 4872 = 0. Calculate the smallest common multiple of 3 + -4 - (2 - 648/6) and x.
420
Suppose 0 = -7*u + 83 + 106. Suppose u*c - 23*c - 160 = 0. Calculate the lowest common multiple of c and 1/(1/((-10)/(-1))).
40
What is the common denominator of 31/(-4495)*136/(-36) and 127/1160?
10440
Suppose 51*c = 48*c + 6. Suppose -c*t + 3*j = 105, 73 + 26 = -2*t + j. Let k = -39 - t. What is the least common multiple of 63 and k?
63
Suppose -3*d = -25 - 5. Suppose -2*g + 0*g + y = -d, 0 = -3*g - 3*y + 15. Suppose -7*v - g = -47. Calculate the least common multiple of v and 7.
42
Let z = -26 + 50. Suppose -3*r = r - z. Calculate the lowest common multiple of r and (-1)/((-6)/28)*3.
42
Let m = -16154/61 - -10019933/37820. Find the common denominator of -119/1550 and m.
3100
Let w(u) be the first derivative of 32*u**3/3 + 3*u**2/2 + 4*u + 38. Calculate the least common multiple of 11 and w(-1).
33
Let i(m) = 2*m**3 + 74*m**2 - 79*m - 92. Calculate the lowest common multiple of 4466 and i(-38).
4466
Suppose 0 = 56*o - 95*o + 6084. What is the smallest common multiple of o and 24?
312
Let w = -18514 - -647944/35. What is the common denominator of w and -125/1666?
8330
Suppose 6*f - 4*g = 2*f + 4424, 5*g + 4429 = 4*f. Let q = -2251/2 + f. Calculate the common denominator of 29/136 and q.
136
Suppose -c - c + 45 = -v, 2*v = 2*c - 80. Find the common denominator of (-5)/v + 820/(-126)*-3 and -4/149.
447
Let l = -3888 + 244946/63. Find the common denominator of -23/49 and l.
441
Calculate the lowest common multiple of (-6664)/(-20) + (-102)/510 and 444.
1332
Let y = -146/433 - -53001/232954. What is the common denominator of y and -59/4?
1076
Let a = 40 - 48. What is the lowest common multiple of ((-2)/a)/((-10)/(-120)) and (-2)/(-3) + (-174)/(-9) + -2?
18
Suppose -2 - 4 = -5*z - 3*u, -z - 2 = -u. What is the common denominator of z + (0 - -1) - 2929/(-696) and -49/27?
216
Let y be -2*(1 - (-3)/3)/(-2). Suppose 2*a = -v + 27, v - y*a + 4 - 23 = 0. Suppose 4 = x, x - v = -3*i + 14. Calculate the smallest common multiple of 2 and i.
22
Let q(l) = 24*l**2 + 119*l + 4. Calculate the lowest common multiple of 307 and q(-5).
2763
Let w(c) = 30 + 3*c + 3*c - 15*c - c**2 + 0*c**2. Calculate the least common multiple of 12 and w(-9).
60
Let l(d) = d**3 + 8*d**2 + 15*d + 6. Let t(q) = -q**2 - 2*q - 1. Let w be t(-3). Let m be l(w). Find the common denominator of (26/(-30))/(8/250*m) and -45/32.
96
Let t(n) = 4*n**3 - 4*n**2 + n + 2. Let d = 51 - 50. Let h be t(d). Calculate the common denominator of -97/26 and 5/(-10) + (1035/42)/h.
182
Let u(c) = 10*c - 4. Let b(z) = z**3 - 11*z**2 - 10*z - 19. Let t be b(12). Let f be u(t). Let k = -43 + f. Calculate the lowest common multiple of k and 10.
30
Suppose 0 = l - 42 - 30. Let a be -23 + 13 - (-416)/(-8). Let m = l + a. Calculate the smallest common multiple of m and 4.
20
Suppose -b + 6 = -3*i - 0*b, 4*i + 21 = -3*b. Find the common denominator of 7/28 - 262/24 and (-13)/i*30/18.
9
Let x = -3335 + 5181. What is the smallest common multiple of x and 14?
12922
Let a(l) = l**3 + 3*l + 14 - 16*l**2 - 3*l**2 - 2*l + 0*l + 3. What is the least common multiple of a(19) and 3/1*4 + -2?
180
Let o(r) = 17*r**2 - 13*r - 56. Let x(n) = -49*n**2 + 36*n + 167. Let c(q) = -17*o(q) - 6*x(q). Calculate the smallest common multiple of 15 and c(4).
150
Let y be (6 + (-236)/40)*(-193)/(-2). Let u = -63/10 + y. Find the common denominator of u and ((-9)/30)/((-36)/1065).
40
Find the common denominator of -13/470 and (-28 + 29)*(44/(-15) + -2).
1410
Let v = -8 - -14. Let k = 255 - 252. Suppose 5*f + 5*i - 81 - 59 = 0, -80 = -k*f - 5*i. Calculate the smallest common multiple of f and v.
30
What is the lowest common multiple of 221 and 115/690 - (-815)/6?
1768
Let d = 12947 + -349519/27. Calculate the common denominator of d and -77/144.
432
Suppose 0 = 5*a + 3*i + 3 - 0, -3*i - 3 = -5*a. What is the lowest common multiple of 10 and 25 - a/(5 + 0)?
50
Let z = -618385/17 - -36378. Calculate the common denominator of 23/1409 and z.
23953
Suppose -20*g = -6*g + 532. Suppose -5*f = -f + o - 100, -36 = -f - 3*o. Find the common denominator of g/(-60)*(-42)/f*-4 and 3/10.
30
Let s = -932/11 + 21191/264. Suppose 3*z = -2*i + 5*i + 549, -i - 183 = 3*z. Calculate the c