e -28 - 22 = -5*c. Let x(z) = 6*z**3 + 5*z**2 - 4*z - 5. Let l be x(3). Let r = 204 - l. What is the smallest common multiple of r and c?
70
Let m = -86 + 341. Calculate the least common multiple of m and 315.
5355
Let g(o) = o**2 - 3*o - 1. Suppose 4*s - 5*z = -0*z - 2533, -3*s - 2*z = 1871. Let q = s + 680. What is the least common multiple of g(4) and q?
159
What is the common denominator of (-155999)/143920 + 24/(-28)*2/4 and 29/64?
320
Let k(j) = -j**3 + j**2 - j. Let b be k(1). Calculate the common denominator of (-3)/(-26) - (b - (5 - 2)) and 31/6.
78
Let x(k) = -k**3 - 4*k - k**2 - 6*k**2 + k**2 - 40 - 10*k**2. Let d be x(-16). Calculate the least common multiple of 30/7*112/d and 94.
940
Suppose 6*g = 2*g + 72. Calculate the common denominator of 889/322 - (-1 + 8/2) and -3 + 121/g + 0.
414
Let h(g) = 21*g**2 + 12*g - 1. Suppose 0 = 3*s + 15, -4*s - 38 + 21 = -3*b. Let y(k) = -k**2 + 3*k + 1. Calculate the lowest common multiple of y(3) and h(b).
8
Let g = -165174 + 68381935/414. What is the common denominator of g and -5/99?
4554
Let c = 1380472 - 5350709549/3876. Calculate the common denominator of c and -58/7.
27132
Let h(z) = -z**3 + 13*z**2 - 2*z + 49. Let d be h(14). Find the common denominator of -21*((-868)/d + -5) and -117/40.
200
Let l = 141 - 291. What is the common denominator of ((-6)/(-28)*775/l)/1 and 77/64?
448
Suppose 2*g = 4*y + 584, -2*g = 2*y + y - 549. Suppose -14*t + 10*t + 56 = -4*q, 30 = 3*t + 3*q. What is the lowest common multiple of t and g?
564
What is the common denominator of -11 + -1 - ((-782895)/(-1170))/(-67) and -163/3432?
3432
Suppose -6*y = -18 - 6. Suppose -y*f = -2*u + 144, 5*u = 4*f - 9*f + 315. Calculate the least common multiple of u and (3 - 96/33) + (-348)/(-44).
264
Let u(n) = -n**3 - 31*n**2 + 4*n - 32. Let r be u(-31). What is the common denominator of 5/6 and (-273)/117 + (-487)/r?
156
Let z be (-3)/(12/(-5))*420/97. Let l = 81449/14744 - z. Calculate the common denominator of -125/6 and l.
456
Let o be 14*(-25)/(-10) + 0. Suppose -3*n - 2*n + o = 0. What is the least common multiple of -1*(-6)/(-5 + n) and 64?
192
Let z = 189 - 172. Suppose 0 = -z*b + 71 + 65. What is the lowest common multiple of b and 44?
88
Let l(u) = 2*u - 89. Let f be l(26). What is the lowest common multiple of 1 and 20/(-70) + f/(-7)?
5
Let t(l) = 373*l - 4990. What is the smallest common multiple of t(14) and 1160?
1160
Suppose 47*d - 2343 = -f + 44*d, 5*f = 4*d + 11639. What is the smallest common multiple of f and 7?
2331
Suppose 0 = 2*v - 0 - 4. Suppose 0 = v*r - 12 - 6. Let p(a) = -a**3 + 8*a**2 + 13*a - 5. What is the common denominator of p(r) and -35?
1
Let y = 120/37 - 14447/5698. What is the common denominator of -38/121 and y?
1694
Suppose 2*u + 16 = 6*u, 5*u - 18 = 2*v. Let r be v/((-1)/((-2)/1)). Suppose 0 = 2*w - r - 6. What is the lowest common multiple of 5 and w?
20
Suppose v = u + 5, -3*u = v + v - 15. Let m(w) = 8*w - 52. Let r be m(7). Suppose 20 = -r*k + 32. What is the least common multiple of v and k?
6
What is the common denominator of ((-13)/4)/(((-6)/7)/((-320)/1551480)) and 39/7?
116361
What is the common denominator of (6/(-7))/2 - (664305/(-8190))/67 and 37/257?
20046
Suppose 0 = -25*s + 368 + 1982. What is the lowest common multiple of (-2)/(-8) + (-78)/(-8) and s - (-6)/(-12)*0?
470
Find the common denominator of (-8)/12 + (-850)/(-384) and 61100/4512 - ((-48)/(-4) - -1).
192
Let n = -8651/6 - -1456. Let q = 66624 - 733474/11. Let l = q - -5270/99. Calculate the common denominator of l and n.
18
Let q be 3938/55*(-458)/8. Let g = q - -4092. Find the common denominator of g and 5/35 - (-561)/(-56).
40
Suppose -198*r - 24 = -201*r. What is the smallest common multiple of 55/(-440) - (-177)/r and -2 + (-10)/4*-4?
88
Let j = -378563/1831575 - -1/48842. Find the common denominator of -86/75 and j.
150
Let r(a) = a + 27. Let g be (1*-1)/(((-35)/40)/(-7)). Let b = -1 + g. Calculate the smallest common multiple of r(b) and 18.
18
Let u(m) = -4*m**3 + m**2 + m. Let s be u(-1). Suppose -9 = 2*x - 15. Let l = s - x. Calculate the lowest common multiple of 10 and l.
10
Let r = 321 + -317. What is the common denominator of 11/93 and (5/r)/((-864)/1792)?
837
Let i(m) = m**2 + 12*m + 15. Let r be i(-12). Let u be r/2 + (-1)/2. Suppose -4*k - 4 = 0, -4*k + 5 + u = 4*x. Calculate the least common multiple of 12 and x.
12
Let f = -780 - -782. Suppose 2*n + 276 = 2*u - 96, -f*n + 756 = 4*u. Calculate the least common multiple of u and 2.
188
Suppose 0 = -11*f + 24200 - 341. Let n = f - 15212/7. Find the common denominator of -101/4 and n.
28
Let f be (4 - (9 - 11))*(-2)/(-12). Let k = -11 + 17. Calculate the smallest common multiple of 54*f*(-3 - (-33)/9) and k.
36
Let c = 26537/1368 - 334/19. Find the common denominator of c and -85/1032.
3096
Suppose 24 = -7*n + 10*n + 3*b, -b + 20 = 5*n. What is the least common multiple of 42 and (-132)/(-10)*(44/n - 13)?
462
Suppose 8*t = 30950 - 29366. What is the smallest common multiple of t and 198?
198
Let p(m) = m**2 + 5*m - 104. Suppose -18*n + 166 = -32. What is the lowest common multiple of p(n) and 64?
576
Let n = -33 - -37. Suppose -n*s - 21 = -s. Let x(c) = -c**2 - 11*c - 10. Calculate the lowest common multiple of x(s) and 20.
180
Let u = -568963298/10527 - -54048. Let i = -182462/31581 + u. Calculate the common denominator of i and -52/27.
27
Let r = -16358/297 + 1864/33. Calculate the common denominator of 5/492 and r.
4428
Suppose 5*t = -4*b + 684, 3*t - 404 = -21*b + 17*b. Calculate the lowest common multiple of 124 and t.
4340
Let b(t) be the first derivative of -t**3/3 - 21*t**2/2 - 34*t - 206. What is the least common multiple of 26 and b(-19)?
52
Suppose 143*d - 768 = 127*d. What is the least common multiple of 258 and d?
2064
Suppose -4*f + 4*g - 68 = -9*f, -5*f + 77 = g. Suppose -133 = -11*k + 10. Calculate the smallest common multiple of f and k.
208
Let t be 123918/23580 + (-3)/5 + 1. Let d = t + 3/262. Calculate the common denominator of d and 1/11.
33
Suppose -32*i + 18*i + 56 = 0. Suppose -10*l = -14*l + 5*u + 384, -4*l + 384 = i*u. What is the lowest common multiple of 44 and l?
1056
Let z = 166959 - 1648429/10. Let q = z - 2120. Calculate the common denominator of q and 53/44.
220
Let i = -239816/1185 + 184/237. Let p(u) = 196*u. Let g be p(-1). Let w = g - i. What is the common denominator of w and -37/6?
30
Suppose -5*b - 6 = -8*b. Suppose -2*u + b*k = 6*k, -k = 4*u - 14. Suppose -u = -z - 0. Calculate the smallest common multiple of 2 and z.
4
Let t = -369 - -24349/66. Find the common denominator of t and 125/84.
924
Suppose -806*r = -788*r - 14112. Calculate the least common multiple of r and 224.
1568
Calculate the common denominator of -149/132 and (-352)/528 + (-481)/(-726).
1452
Let a = 10283 - 10227. What is the lowest common multiple of 44 and a?
616
Suppose 3*s - 3*v = 524 + 181, -5*v = 5*s - 1135. What is the smallest common multiple of s and 63?
693
Let f be -15 + -1 - (-1 - (-1 - 4)). Suppose y = 3 + 8. What is the least common multiple of y and (12/f*-5)/(-2)*-2?
33
Suppose 0 = -5*a - 2*m + 167 + 35, 0 = 4*m - 4. What is the least common multiple of 23 and a?
920
Let v(z) = 2*z**3 + 32*z**2 + 44*z + 122. What is the smallest common multiple of 116 and v(-14)?
580
Suppose 0 = -3*k - 3*d + 4*d + 244, 0 = -k + d + 84. What is the least common multiple of k and (12/14)/((-21)/(-294))?
240
Suppose 5*k - 4*q - 25 = 0, 0 = k + 3*k - 5*q - 20. Suppose -a + 5 = 5*v + 19, -v = k*a - 26. Calculate the least common multiple of (2/a)/((-3)/(-144)) and 14.
112
Let z = 174 + -267. Let r = 95 + z. Suppose 5*o = 5*n + 75, 0 = o + 3*n + r*n - 33. What is the least common multiple of o and 62?
558
Let q = 1902133916971/5207164424 + -7124674/19547. Let t = q + 6/4757. What is the common denominator of t and -139/24?
168
Let k(z) = -z**3 - 20*z**2 - 11*z + 15. Let b be k(-19). Let a = 143 + b. Calculate the lowest common multiple of a and 105.
210
Suppose -q + z = 5, -2*z - z = 0. Calculate the common denominator of -81/16 and q/24 - (-16 - -15).
48
Let v = 298414/5 + -242312513/4060. Find the common denominator of v and 95/6.
2436
Let u be (-1)/(2 - (-459)/(-222))*-35. Let n = -138 - u. Find the common denominator of n/12*(-12)/32 and