 Let r be l(0). Suppose -5*c + 174 - r = 0. Let y(u) = -u - 3. Calculate the least common multiple of c and y(-5).
8
Calculate the common denominator of 29/10 and ((-2)/8)/((-1)/(-5)).
20
Let g be ((-1407249)/54)/((-8)/14). Let o = g + -45599. Find the common denominator of o and -10/3.
24
Let k(r) = 5*r**2 + 16*r - 13. What is the lowest common multiple of k(-4) and 192?
192
Suppose 5*h + 7*y = 164, -22*h + 112 = -18*h - 4*y. What is the lowest common multiple of h and 12?
60
Let l be (3/3)/(7/(-462)). What is the common denominator of (-88)/18 + 44/l and ((-87)/(-30))/(1/(-2))?
45
Let z(k) = -3*k + 13. Let i be z(15). Let h = -23 - i. Suppose -12 = -3*s - s. Calculate the lowest common multiple of h and s.
9
Let s(v) = -2*v**2 - 8*v - 3. Let w be s(-3). Suppose 31 = 2*i - z, i - w*z + 1 = 14. What is the smallest common multiple of 6 and i?
48
Let o(w) = -w**2 + 2. Let i be o(2). Let v = 4 + i. Let b(k) = -10*k + 52. What is the lowest common multiple of b(4) and v?
12
Let t be 0/(1 + -2 + -1). Suppose -z + 1 = -t. Calculate the common denominator of -3/7 and 122*z/20 - -2.
70
Suppose -q = -4*p + 43, q = -4 + 9. Suppose -p = -3*h, h + 44 = 2*u - 0*u. Calculate the smallest common multiple of 5 and u.
120
Let w = -56 - -136. Suppose w = -o + 6*o. What is the least common multiple of o and 4?
16
Suppose 2*g + 170 = 4*h, -5*h - 13*g + 209 = -12*g. What is the lowest common multiple of h and 7?
42
Let o be 27/6*-2*-1. Let l = o + -12. What is the common denominator of -15/14 and (24/(-64))/(l/(-71))?
56
Let v(w) = -7335*w - 2. Let l be v(2). Let g be (-59)/(-177)*(-1761258)/(-40)*1. Let b = g + l. Calculate the common denominator of -65/4 and b.
20
Suppose -134 = -10*f + 16. Suppose 4*r + r = 4*x + 13, 4*x + 10 = 2*r. Find the common denominator of -101/4 and r*12*f/(-16).
4
Let s(f) be the second derivative of f**6/240 - f**4/4 - f. Let h(c) be the third derivative of s(c). Calculate the lowest common multiple of h(6) and 16.
144
Let g = -902 + 918. Calculate the least common multiple of g and 336.
336
Let a = -80 - -91. Calculate the lowest common multiple of 7 and a.
77
What is the common denominator of -22/21 and (-61 - -64) + (-778)/210?
105
Let l = -278 - -285. What is the lowest common multiple of 35 and l?
35
Let v be -114*((-1)/9)/((-1)/(-3)). Let f = -22 + v. What is the common denominator of (-103)/15 - (-2)/10 and f?
3
Let v = -30 + 32. Suppose 5*x = -v*p + 49, 2 = 2*p - 2. What is the least common multiple of x and 2?
18
Let a = -10 + 34. Suppose -19*w + 120 = -14*w + 2*v, 4*w + 4*v = 96. Calculate the lowest common multiple of a and w.
24
Let f be (-3336)/270 - 1/5. Let a = f - -1123/99. What is the common denominator of a and -49/18?
198
Let h = -20 + 11. Let m = 169 - 188. Let a = h - m. What is the least common multiple of 22 and a?
110
Suppose -q + 0*q = 4, -3*j - 5*q + 4 = 0. Let y = -8 - -16. Calculate the lowest common multiple of j and y.
8
Suppose -2*q + 2*d = 18, 3*q - 4*d + 22 = -2*d. Calculate the common denominator of -32 and q/(-16) - 1*(-69)/36.
6
Suppose 2*b - 4*b + 4*y + 8 = 0, 0 = -2*y + 4. Suppose -5*j + 4 = -1. Suppose m = 1 + j. What is the least common multiple of m and b?
8
Let z be 1182/33 + 6/33. Suppose -3*v + 9 = 2*s - 33, -4*s - z = -4*v. Let d = 5 - 3. Calculate the lowest common multiple of d and v.
12
Let b = -2 + 14. Suppose -3*u + 4*z = -18, -3*z - 3 - b = -3*u. Calculate the common denominator of (3 - (-183)/(-22)) + u and -17/14.
154
Calculate the common denominator of (-771)/(-108) - ((-10)/9 - -1) and -49/120.
120
Let t = -2/102723 - -7498939/8217840. What is the common denominator of t and -179/60?
240
Let q be (-2)/(-4)*4*11. Suppose 0 = -4*p + 6 + q. Let n(l) = 3*l - 15. What is the lowest common multiple of n(10) and p?
105
Let w = 11/117 - -10135/468. Find the common denominator of 5/488 and w.
488
Let j = -955 + 959. Let g be ((-4)/(-3))/((-1)/(-3)). Suppose g*b - 24 + 0 = 0. Calculate the least common multiple of b and j.
12
Find the common denominator of -1*76/32*(-3)/(-6) and 3/22.
176
Let x = -2015 - -8117/4. What is the common denominator of x and -23/170?
340
Let u = 18 - 6. Suppose 0*p - 4*p - 2*g + 2 = 0, 4*p - g - 11 = 0. Suppose 5*k - p*k = 42. What is the least common multiple of k and u?
84
Let z = -20 - -29. Let f = 5 + z. Suppose 0*g - g + 4 = 0, -5*k = -2*g - 102. What is the smallest common multiple of f and k?
154
Let t = -4029/28 + 607/4. Suppose -n = -3*n + 8. Calculate the common denominator of t and (-1745)/220 + n/22.
28
Suppose 0 = -5*b - 0 + 10. Suppose -2*z + 15 = -3*h + 4*h, 5*z - 42 = b*h. Calculate the lowest common multiple of z and (1 - -10) + (8 - 8).
88
Suppose 8*o - 792 = -14*o. Calculate the smallest common multiple of o and 15.
180
Let s = -124/7 - -1007/28. What is the common denominator of -93/44 and s?
44
Let w(p) = -p**3 + 27*p**2 - 64*p - 51. What is the lowest common multiple of w(24) and 12?
564
Suppose -1 = 2*a + 5*c, -a - 4*a - 5*c = 10. Calculate the common denominator of 13/20 and a/((-96)/(-86)) - 0.
80
Let r(a) = -a**2 + 8*a - 11. Let v be r(5). Suppose -v*m + 103 = -5*p, 4*m - 2*p = 116 - 22. What is the least common multiple of 12 and m?
132
Let u = 78 + -58. Let f = u + -4. Calculate the lowest common multiple of f and 4.
16
Calculate the common denominator of 81/2 and ((-3)/9)/(26/129) + 3.
26
Let z be ((-2)/3)/((-4)/(-492)) - -2. Let o = z - -98. What is the smallest common multiple of 4 and o?
36
Suppose b - 36 = -15. What is the least common multiple of b and 21 + (18 + -18)*(-2)/6?
21
Let m be 2/6 - (-13)/(-39). Suppose m = -5*k - 3*d + 35, -3*k = -4*d + 5 + 3. Calculate the least common multiple of k and 28.
28
Let k be 5 - 76/(-1) - 3. What is the common denominator of 38/5 and k/(-14) + (-13 - -18)?
35
Let p = 15443/6 + -2566. Suppose z = -j - 0*j - 14, 0 = 2*z + j + 24. What is the common denominator of p and 154/(-20) + (-20)/z?
30
Suppose -2*g + g - 3 = 0. Let d = g + 9. Suppose -t - 4*t = y - 11, -3*y + 33 = -t. What is the lowest common multiple of d and y?
66
Suppose -2933 + 1043 = -9*n. Calculate the common denominator of -69/20 and ((-285)/n)/(24/35).
240
Let q = -1333/595 - -24/17. Calculate the common denominator of q and -54/35.
35
Suppose -119 = -11*o - 31. Let a = 17 + -12. What is the lowest common multiple of a and o?
40
Let j = 13 - 9. Suppose j*u + 3*o = 47, 10*u + o = 5*u + 45. Calculate the lowest common multiple of 44 and u.
88
Let j = -1057/1250560 - 31261644979/14622798080. Let o = 5/2126 + j. What is the common denominator of -19/4 and o?
44
Let y(c) = -24*c**3 - 2*c**2 - c + 2. Calculate the lowest common multiple of y(-1) and 5.
25
Let d = 108 - 158. Find the common denominator of -56/11 and ((-7)/(-5)*d/(-4))/(-3).
66
Suppose 0 = -4*a - 14 - 54. Let f = a - -24. What is the smallest common multiple of 3 and f?
21
Let k(f) = f**3 + f**2 + 14. Let n(t) = 7*t - 60. Calculate the least common multiple of n(10) and k(0).
70
What is the common denominator of (-7031)/(-948) + -2 + (1 - -1) and 91/4?
12
Let s be 8/468*(-3)/25. Let m = s + 24389/6825. Calculate the common denominator of 51/2 and m.
14
Let l(h) = h**3 + 2*h**2 - 3. Suppose 3*s - 373 = -2*u, 5*s + 20 = 4*u - 693. Let y = u + -189. What is the common denominator of l(-4) and y?
1
Calculate the common denominator of (-4563)/25740 - (-3)/(-10) and -25/352.
352
Let s(i) = -i**3 + i**2 + i. Let x(n) = 2*n**3 + 6*n - 2. Let g(a) = 3*s(a) + x(a). What is the least common multiple of 20 and g(4)?
180
Let o(t) = -t**3 - 10*t**2 - 11*t - 10. Calculate the least common multiple of ((-48)/(-72))/(2/84) and o(-9).
56
Let v be (-5)/((-25)/(-20) - 1). Calculate the common denominator of -89*(5/v + 0) and -13/24.
24
Let k = 2649499/80 - 33118. What is the common denominator of k and 59/16?
80
Suppose 2*t - 4 = x, 5*t + 16 = 3*x + 6*t. What is the lowest common multiple of x and 50?
100
Let g(w) = 8*w + 9. Let d(s) = -s - 9. Let p(o) = -2*d(o) - 2*g(o). Let b = 1 + -2. Calculate the least common multiple of 8 and p(b).
56
Let h = 21 + 19. Suppose -7*s + 3*s = -h. Let v(l) = -3*l - 9. Calculate the lowest common multiple of s and v(-6).
90
Let k(q) = 5*q + 16. Let w be k(-5). Calculate the common denominator of -59/9 and (159/w)/(0 + 1).
9
What is the common deno