common multiple of 8 and (-53)/(-7) + 28/v.
56
Let k(j) = j**2 + 8*j + 3. Let m(v) = -3*v**2 - 15*v - 5. Let d(y) = 5*k(y) + 2*m(y). What is the lowest common multiple of 9 and d(10)?
45
Calculate the common denominator of ((5/(-1))/(-40))/((-39)/486) and 41/2.
52
Let j be 7*((-114)/21 + 2). What is the common denominator of (j/(-60))/(0 - 8/(-485)) and -91/30?
60
Let o = -18179/8 - -2274. Find the common denominator of o and 95/232.
232
Let d = -1663769/4508 + 8500/23. Calculate the common denominator of d and 39/8.
392
Let l(v) = -16*v + 506. Suppose 0 = c + 1, -4*k + 4*c + 6 = -62. What is the smallest common multiple of l(31) and k?
80
Let j = -140 + 2935/21. Let z = 1583/14 - 113. Let s = z + j. Find the common denominator of 151/12 and s.
12
Let o = 3916 + -54799/14. Let d = -494 - -5935/12. Calculate the common denominator of d and o.
84
Let d = -2251 - -67559/30. Find the common denominator of d and -5/54.
270
Let z = -2141 + 47085/22. Let f = -13637300 - -30820298771/2260. Let g = f - -1/113. What is the common denominator of z and g?
220
Calculate the least common multiple of 210 and 9 + -2 + 126 + (-9 - 4).
840
Let m = -98629269/55 - -3586695/2. Let k = m + -994/11. Let r = -47705/22 - -2168. Find the common denominator of k and r.
110
Suppose 6*m + 20 = 10*m. Let x be (-1546)/m*20/4. Let u = -12331/8 - x. Find the common denominator of -4/9 and u.
72
Suppose 3*o = -0*o + 18. Let h(z) = 9*z - 9. Let t be h(o). Suppose 5*p = 5*q - t, -5*q + 4*p = 5 - 53. Calculate the least common multiple of 6 and q.
12
Suppose 0 = -3*z - 9*g + 5*g - 25, -g + 2 = -2*z. Let v be z + (8 + -3)*1. What is the common denominator of -43/14 and (5 - 2)*v/(-44)?
154
Let y be (-3)/(((-4)/12)/(-1)). What is the common denominator of 933/72 - (-3)/y and 29?
8
Suppose -h - 315 = 115. Find the common denominator of 99/((28/16)/((-1)/8)) and h/(-84) + (-5)/15.
14
Find the common denominator of (-794)/550 + 72/60 and -41.
275
Let v be (-2442835)/(-30) + (-1)/(-3). Let g = 1394513/18 - v. Let y = 3951 + g. Find the common denominator of -1/27 and y.
27
Find the common denominator of (-3 - 318/(-4))*1/(-6) and -35/16.
16
Suppose -70 = -w + h, -4*w + 5*w - 80 = -4*h. What is the least common multiple of w and 64?
576
Let n = -17361 + 694527/40. Calculate the common denominator of n and -27/176.
880
Let k = 10851 - 488377/45. What is the common denominator of -3/35 and k?
315
Let c be 2*(-12)/(-8) + (-2416)/28. Let b = c - -84. Find the common denominator of 27/2 and b.
14
Suppose 0 = 4*c + 28 + 40. Let u = c - -18. Calculate the least common multiple of 36 and (11/(44/24))/u.
36
Suppose 0 = -21*p + 52*p - 14074. What is the lowest common multiple of 10 and p?
2270
Let p = 49383/4168 - -14/521. Let v(r) = -2*r**3 + 2*r + 3. Let n be v(3). Find the common denominator of p and ((-29)/12)/(5/n).
8
Suppose -12*j - 565 = -721. Calculate the least common multiple of 14 and j.
182
Let m(v) = -v**3 + 3*v**2 + 3*v. What is the smallest common multiple of m(3) and 92?
828
Let h = -18 + 10. Let g(k) = 6*k**2 - 13*k - 12. Let v be g(h). Let c = 3755/8 - v. What is the common denominator of c and -29/4?
8
Let w = -60677/48 - -3809/3. Let k be 4047*((-15)/9 + -1). Let i = k + 151149/14. What is the common denominator of i and w?
112
Let l = 10 - 9. Let a be 3 + l - 0 - -3. Let o(c) = -c**2 + 8*c + 3. Calculate the least common multiple of 15 and o(a).
30
What is the lowest common multiple of (2 + (2 - 5))*-7 and 2/(-8)*(-26 + 11 + -13)?
7
Suppose -x + 6*x - 10 = 0. Let r be (-4413)/(-75)*15/x. Let k = r - 2172/5. What is the common denominator of 9/20 and k?
20
Let q(l) = l**2 - 15*l + 82. What is the smallest common multiple of 20 and q(10)?
160
Let m(a) = -2*a**2 + a + 5. Let l be -4*(3 + -4) - 4. Let r be m(l). Suppose o - 2*t - 9 = -1, -r = -t. Calculate the lowest common multiple of 2 and o.
18
Suppose 4*s - 9 - 11 = 0. Suppose q + 0*q + 105 = 5*x, s*q = -x - 5. Suppose -5*z + 34 = -36. Calculate the lowest common multiple of z and x.
140
Let r = 412189300/7 + -1689976321177/28700. Let m = r + 285/41. Let h = -1/25 + m. Calculate the common denominator of 89/18 and h.
36
Suppose 0 = -p + 4*p + 21. What is the smallest common multiple of (-5)/((-175)/130) + (-2)/p and 6?
12
Let f be 17/(-2) - 114/(-76). Let l = 2075 - 22866/11. Calculate the common denominator of l and -1 - (6 - (f + 6)).
11
Suppose m + 3 = 6*b - 3*b, b + 3*m + 9 = 0. Let t = 7 - b. Calculate the smallest common multiple of 3 and t - 2*(-1)/2.
24
Let z(m) = -3*m - 46. Calculate the least common multiple of 40 and z(-17).
40
Suppose -23*s = -66*s + 43. Calculate the lowest common multiple of 1657 and s.
1657
Let d = -1320557227/20 + 66012863. Let l = -14995 - d. Calculate the common denominator of 71/8 and l.
40
Suppose -48*o - 229 = -997. Calculate the smallest common multiple of o and 706.
5648
Suppose -11*n = -2*n + 837. Let o = 2111/36 - 440/9. Find the common denominator of (-4)/(-20) + n/(-30) and o.
20
Let g = 5 + -4. Let f = 180 + -175. Calculate the smallest common multiple of f and g.
5
Let z be (4 + -2)*((-260961)/44)/3. Let f = z + 3953. What is the common denominator of -13/60 and f?
660
Let r be (218/(-12))/(-1) - 35/210. Let c be (-2 - -2)*2/4. Let f = r - c. Find the common denominator of f and 34.
1
Let g(x) = x - 1. Let c be g(1). Let r = 177 + -174. What is the smallest common multiple of (r - c)*(4 + 1) and 4?
60
Let k(c) = -5*c**2 + 28*c - 11. Calculate the smallest common multiple of 258 and k(5).
516
Let s(i) = i - 2. Let y be s(3). Calculate the common denominator of ((-76)/(-6))/((-40)/18) + -3 and 39/(-36)*(y + 0).
60
Suppose 12*p + 19*p = 620. Calculate the lowest common multiple of 66 and p.
660
Let a(r) = -r**2 + 6*r - 4. Let g be a(2). Suppose k + g*s - 9 = 6, 0 = -k - 2*s + 9. What is the common denominator of k/(-11)*25/15 and 15/11?
11
Suppose 5 + 22 = -9*j. Calculate the common denominator of -38/5 and 7*(11/10 - 2) - j.
10
Let t(x) = 9*x**2 - 2*x - 6. Let z be t(3). Find the common denominator of -15/14 and z/(-12) - (-3 + (-52)/(-20)).
140
Let p(m) = m**2 - 4*m + 4*m**2 + 6 + 14*m - 3*m**2. Suppose -10 = -4*b + 6. What is the lowest common multiple of b and p(-5)?
12
Let x = 34 - 30. Suppose 4*w - 18 = -3*i, x*i + 2*w + 10 - 24 = 0. Calculate the smallest common multiple of 3 and i.
6
Suppose -13*u + 105 = -8*u. Suppose 5 = -4*n + t, 3*n - 4*t + 20 = -0*t. What is the lowest common multiple of u - 2 - (-3 + n) and 14?
154
Let w be 88/11 - 4/(-2). Find the common denominator of -33/4 and (-2)/w - (-1686)/180.
12
Let d(p) = -17*p**3 + p**2 - 2*p - 2. Suppose -2*g = 1 + 1. Calculate the smallest common multiple of 22 and d(g).
198
Suppose -n - 1 = 2, 4*f - n = 15. Suppose f*l - 11 = -2. What is the smallest common multiple of 20 and (12 - l)/(15/10)?
60
Calculate the common denominator of -11/70 and ((-48)/9*12)/(-77).
770
Suppose -5*i + 2624 + 436 = 0. Find the common denominator of ((-138)/27)/(8/6) and 2/8 + i/(-80).
30
Let o(t) = 2*t + 9. Let u be o(9). What is the common denominator of (41/(-60))/(4/36) and -5 + 4 + u/(-16)?
80
Let f be (-18)/22 - 4/22. Let p be (f - 10/(-6))*-177. Let x = p + 965/8. Find the common denominator of x and 14/11.
88
Suppose -3*a = k - 47, -46*k - 5*a = -48*k + 83. Calculate the smallest common multiple of k and 330.
660
Let p(v) = -v**3 + 9*v**2 - 7*v - 6. Suppose 16 = 2*z + 5*j, 3*j - 6 = -2*z + 10. What is the lowest common multiple of 8 and p(z)?
8
Let r(q) = q**3 + 33*q**2 + 91*q + 42. What is the least common multiple of r(-30) and 250?
1500
Let b(i) = -i**3 - 11*i**2 - 6*i + 42. Calculate the smallest common multiple of 16 and b(-10).
16
Calculate the common denominator of (-1)/(-4)*7*(-2060)/(-700) and -7/314.
3140
Let b = 294 + -285. What is the smallest common multiple of b and 348?
1044
Suppose -52 = -4*a - 2*p, 4*p = 2*a - 30 + 14. What is the lowest common multiple of a and 2470?
14820
Let f be (8/(-6))/((-14)/(-21)). What is the lowest common multiple of 11 + ((-2)/(-1) - 3) and f*(-4 - 12/(-8))?
10
Find the common denominator of ((-9)/12)/((-45)/(-384) - 0) and -12/775.
775
Suppose 4*g + 7 = 83. Suppose 0*p - 2*j + g = 3*p, 0 = 5*p - j - 36. Let o(x) = x**3 - 7*x**2 + 6*x + 3. Calculate the least common multiple of p and o(6)