- 2*n, 3*n + 11 = -4. Suppose -56*a + 52*a + m = 0. Calculate the least common multiple of 284 and a.
852
Let c(v) = -v**2 + 7*v - 1. Suppose j = 4*m + 6*j, -5*m - 2*j + 17 = 0. Let t be c(m). Let r = -3 + t. What is the least common multiple of r and 2?
6
Let m = 654 - 529. What is the lowest common multiple of m and 150?
750
Let n(b) = -4*b**2 + 40*b + 11. Let u = 14 - 7. Calculate the least common multiple of n(10) and u.
77
Let r = -1141/2 + 591. What is the common denominator of -10/583 and r?
1166
What is the smallest common multiple of -2 + 2 + -3 + (32 - -104) and 70?
1330
Let c(q) = 7*q + 6*q**3 - 7*q**3 - 5 - q**3 + q**3 - 3*q**2. What is the least common multiple of 15 and c(-5)?
30
Let a = 8 - 4. What is the common denominator of ((279/(-30))/(-3))/((-8)/5) and a/(-10)*198/8?
80
Let r(s) = 2*s**2 + 5*s + 1. Let m be r(-3). Suppose 0 = u - 2 - m. What is the least common multiple of 123/6 + u/(-12) and 10?
20
Suppose -4*x = -h - 374, 4 = h + 6. Let g be ((-3)/138)/(x/(-6)). Let u = 54899/1426 + g. Find the common denominator of -3/11 and u.
22
Let s = 117 - -133. What is the common denominator of 79/44 and (-3)/15*s/24?
132
Let p(i) = i + 6. Let q be p(8). Calculate the common denominator of ((-8)/9)/((-10)/(-195)) and (1 - -1) + (-78)/q.
21
Let m(g) = -10*g - 425. Calculate the least common multiple of 121 and m(-59).
1815
Calculate the smallest common multiple of 18 and (7 - 12)/((-5)/18).
18
Let a = -110 - -122. Let l(b) = -6*b**3 + b. Let j be l(-1). Suppose u + 40 = j*u. What is the least common multiple of a and u?
60
Let d = 230 - 212. What is the least common multiple of 90 and d?
90
Let x be (-4)/8*-8 - 0. Suppose 4*k - 24 = 4*p, 3*k - 13 = -6*p + x*p. Find the common denominator of -29/2 and (-35)/(-63)*(-58)/k.
18
Let q(r) = -5 + 0 - 1 + 2 - r. Let u be q(-13). Suppose -u*a = -5*a - 16. What is the smallest common multiple of 30 and a?
60
Let a = -2495/364 + -36/91. Let x = 80327/10 - 8021. What is the common denominator of x and a?
20
Calculate the common denominator of (-16)/16 + 179/76 and -29/28.
532
Let n(c) = c**2 - 5*c + 4. Let k be n(4). Suppose k = 8*z - 3*z - 80. What is the least common multiple of z and 18?
144
Let l = 42436753/611 + -138909/2. Calculate the common denominator of l and -151/18.
10998
Let j be ((-10)/3)/((-2)/(-30)). Let h be (-144)/4*j/(-8). Let w = 1087/5 + h. Find the common denominator of 38/9 and w.
45
Let l be -2 + 6 + (-2)/(-2). Suppose 0 = l*g - 19 + 9. Suppose -g*y + 12 = -0*y. Calculate the lowest common multiple of y and 5.
30
Suppose -4*i - 24 = -4, -10 = -5*a - i. Find the common denominator of -145/6 and (2 - 7/a)/((-8)/(-131)).
24
Suppose 1 = c + r - 7, -2*c = 3*r - 19. What is the lowest common multiple of c/(-10) + (-12)/(-8) and 4?
4
Suppose 5*f - 408 = 997. Suppose -3*q + 5*p + 274 = 0, -q + 4*q + 2*p - f = 0. Calculate the smallest common multiple of 9 and (-1)/3 - q/(-9).
90
Let k = -3064/1785 + 158/105. Let f = k - 1162/935. Find the common denominator of (-130)/16 + 1 - 1 and f.
88
Let j be (88/300)/((-1)/(-6)). Let h = j + -1901/100. Find the common denominator of 31/36 and h.
36
Suppose 0 = -3*p - 2*k - 158, -4*p - 175 = -3*k + 64. Let t = -23 - p. Calculate the least common multiple of t and 9.
99
Suppose -22 = -6*r + 2. Calculate the lowest common multiple of 2*-1 + 2 + 18 and r.
36
Let z be 31298/(-60)*(60/(-32) - -2). Let i = 149873 + -2249149/15. Let c = z - i. What is the common denominator of 43/22 and c?
176
Let i(q) = -3*q**3 + 43*q**2 + 83*q - 40. Calculate the smallest common multiple of i(16) and 3 + -4 + 17/1.
16
Find the common denominator of 11/14 and (-9)/((-3240)/1310) + -1.
252
Suppose 0 = 2*r - 5*d - 7 - 3, -3*r = 4*d + 31. Calculate the common denominator of 121/30 and 5/r - -1*31/12.
60
Suppose 3*j - 15 = -0*j. Suppose -4*s + 37 = j*z, 2*s - 31 = -2*s + z. Let c(m) = -68*m**2 + 268*m + 27. Calculate the smallest common multiple of s and c(4).
88
Let y = 1/7103 - -319583/369356. Find the common denominator of y and -117/14.
364
Let x = 1/4134 - 155033/33072. Let f = -2/1103 - -20965/4412. Calculate the common denominator of f and x.
16
Let j = -112006/957 - -98683099/646932. Let r = 1/676 - j. What is the common denominator of (-1)/((-2)/9 - 235/1170) and r?
22
Let w(p) = 0 + p + 3*p + 0*p - 2. Calculate the lowest common multiple of 18 and w(2).
18
Let g(f) = -f**2 - 14*f - 18. Let v(j) = -2*j**2 - 29*j - 36. Let o(p) = 9*g(p) - 4*v(p). What is the least common multiple of 7 and o(-6)?
42
Suppose -5*c - 3*m - 16 + 4 = 0, -3*c + m = 10. Let a(r) = -3 + 9 - 8 + 0*r - r. Calculate the least common multiple of 1 and a(c).
1
Suppose -2*v = -q - 12, -2*v - 2*q = -6*q - 18. Suppose 5*z = 4*j + 25, -4*z + 41 = -v*j - z. Calculate the common denominator of 6/4*j/(-25) and 34/7.
35
Let k = 528875/6 - 86486. Let w = 1647 - k. Find the common denominator of w and (78/16 + 0)/(-2).
48
Let l(q) = -14*q - 7. Let k be l(-5). Let w be 4/14 + 45/k. Find the common denominator of 276/16 + 1 - w and 77/10.
20
Calculate the common denominator of (1*6/(-45))/((-60)/135) and 7/45.
90
Let c = -1600 + 11219/7. Find the common denominator of c and 13.
7
Suppose 9*t - 13*t = 116. Let z = t + 37. What is the smallest common multiple of z and (-2*4/2)/(-2)?
8
Let m(u) = 6657*u**2 - 6*u - 10. Let q be m(8). Let t = -18741873/44 + q. Let f = -210/11 + t. Calculate the common denominator of f and 89/28.
28
Let q(s) = s + 15. Let a be q(-11). Suppose 0 = a*b - 3*r - 30, 3*r = b - 2*r - 16. Suppose h = -h + b. Calculate the least common multiple of h and 10.
30
What is the common denominator of (6/15)/((-2780)/(-1250) - 2) and (3/(-2))/(192/(-424))?
112
Suppose -5*r - 4*t - 14 = 53, -2*t - 61 = 5*r. What is the common denominator of (-1 + 14/16)*r and (-16)/4*38/18?
72
Let b(l) = -3 - 5*l + 17 + 4*l. Let g be b(10). What is the lowest common multiple of 10 + (3/3 - g) and 5?
35
Let t be 29/(-4) + (-2)/(-8). Let d = t - -15. Suppose -26*g - 12 = -4*f - 25*g, 2*f - 2*g - 6 = 0. What is the smallest common multiple of d and f?
24
Calculate the smallest common multiple of 2*(-50)/(-20)*7 and 50.
350
Let g = 2/321 + -347/4173. Find the common denominator of g and (134/(-6))/(2 + (-12)/4).
39
Let x(w) = w**3 + 14*w**2 + 10*w - 11. Suppose 3*z + 5*i = -49, 0*i + i = z + 11. Calculate the smallest common multiple of x(z) and 2.
28
Let y(w) = w**3 - 15*w**2 + 51*w - 37. Calculate the least common multiple of 40 and y(11).
40
Let u = 73 - 70. Suppose -5*i - 65 = -2*m, u*i = m - 6*m + 147. What is the lowest common multiple of 9 and m?
90
Suppose -173 = -2*b - b + 4*k, -3*b + 205 = 4*k. What is the least common multiple of 77 and b?
693
Suppose -5*n + 3 = -2. Calculate the common denominator of (-3)/9 - 25/(-2) and (-29)/(-18)*(-15)/n.
6
Let u(n) = -7*n**3 - 3*n**2 + n + 3. Calculate the smallest common multiple of u(-2) and 36.
180
Suppose -795 = 3*m - 8*m + v, 5*m = -2*v + 780. What is the lowest common multiple of m and 18?
1422
Let u(t) = t**3 - 5*t**2 + 2*t + 1. Let s be u(5). Let o be 2/(-7)*(-77)/s. Suppose -o*j - 14 = -3*j. What is the common denominator of 29/2 and j?
2
Let p(l) = -2*l + 27. Let b be p(12). Suppose 5*k - 72 = -v, 2*v - 7 = -b*k + 32. Calculate the lowest common multiple of k and 27.
135
Let o = -69/95 + -1913/4560. Find the common denominator of o and 53/120.
240
Let t(b) = -3*b**3 + b**2 + 3*b. What is the least common multiple of t(-2) and 34?
374
Suppose -193*r = -212*r + 1083. Calculate the smallest common multiple of 24 and r.
456
Suppose -22 = -2*g - p, -3*g - 2*p - p + 33 = 0. Suppose 0 = -2*b - 6 + 20. Suppose -3*f + 23 = -b. Calculate the lowest common multiple of g and f.
110
Suppose -x - x = -26. Suppose 5435*j - 5428*j = 42. What is the lowest common multiple of x and j?
78
Let m be -2*(-4 - (-15)/6). Suppose -15 = -m*s - 0*s. Let i(z) = z - 4. What is the least common multiple of 10 and i(s)?
10
Suppose 2*i + y - 85 = 0, 0 = i - 2*y + 7*y - 65. What is the smallest common multiple of i and 25?
200
Let s(i) be the third derivative of -13/24*i**4 - 1/60*i**5 + 0 - 8/3*i**3 + 0*i + 8*i**2. Calculate the smallest common multiple of s(-11) and 10.
30
Let w be ((-4)/12)/((-4)/36). Suppose -w*f + 0*f - 15 = 0. Let l(m) = m + 7. Calculate the smallest common