 -1/44 and m.
176
Let b(i) = i**3 + 11*i**2 - 22*i - 68. What is the smallest common multiple of b(-12) and 11?
572
Suppose 36 = -2*n - m, 0 = 2*n + 3*n - m + 83. Let s = n - -59. Let a(f) = f**2 + 14*f + 7. What is the least common multiple of s and a(-15)?
462
Let b = 119008081/24 + -4959783. Let y = b - -1112. Find the common denominator of y and -83/20.
120
Let j = -4 - -8. Suppose -j*w - 24 = -0*w. Let u = w + 8. What is the least common multiple of 6 and u?
6
Let n(g) = -g**2 + 10*g - 7. Suppose 3*w - 37 = -4. Let p = -3 + w. Calculate the smallest common multiple of n(9) and p.
8
Let n = 3/496 + 27749/4464. Calculate the common denominator of n and (-3)/(189/77) + 3.
9
Suppose 5*j - 2*v + 894 = 0, -3*j = -v + 610 - 74. Let d = j + 3559/20. Find the common denominator of d and 15/(-48) + (-1)/2.
80
Let u = 20 + -15. Suppose 3*x - 40 = -4*t + 18, -u*t - 4*x + 72 = 0. Calculate the lowest common multiple of t and 6.
48
Suppose 5*d = 5*t - 0 + 55, 0 = -3*d + 4*t + 34. What is the smallest common multiple of d and (((-432)/(-15))/4)/((-32)/(-80))?
90
Let w be 7/5 + 2/(-5). Find the common denominator of -6 - ((-462)/(-40) - (-5 + (-261)/(-45))) and (w/12)/(3/226).
36
Suppose -2*l = l - 3. Suppose 20 = 8*z - 4*z. Suppose 3*f - 3*n = -0*n + 24, z*n = -25. Calculate the smallest common multiple of l and f.
3
Calculate the lowest common multiple of ((-16)/(-84)*27)/(1/91) and 12.
468
Let b(i) = -108*i - 211. Let l = 17 - 10. What is the smallest common multiple of l and b(-2)?
35
Suppose 0 = -3*r - 1 + 52. Let u = r + -11. What is the smallest common multiple of 23 and u?
138
Let v = -1154 - -1194. What is the smallest common multiple of 8 and v?
40
Let k(n) = n + 2. Let b be k(0). What is the common denominator of b/(2/(-68)*-9) and (-31)/5 + 0/2?
45
Suppose -5*p = 3*v - 16, 2*v + 3*p - 8*p = 19. Suppose 2*y + 58 = -n + 5*n, 3*n - 40 = 5*y. Let o = n + 4. What is the lowest common multiple of o and v?
133
Find the common denominator of -62/21 and -15*51/(-1134) + 6/(-12).
63
Let z(k) = -16*k + 18. Calculate the least common multiple of 110 and z(-7).
1430
Let t(s) = -s**2 - s + 74. Suppose -3*l - 24 = -5*l. Calculate the smallest common multiple of t(-8) and l.
36
Suppose -9*b = -203 - 697. Calculate the least common multiple of b and 220.
1100
Suppose -n + 575 = 3*h, -2*h = 2*n - n - 383. Suppose 66 = -6*p + h. Let i(r) = -r**3 + r + 9. What is the least common multiple of i(0) and p?
63
Let x(s) = -s**3 - 6*s**2 - 5*s - 8. Let v(z) be the first derivative of 5*z**3 - z**2/2 + 1. What is the smallest common multiple of x(-6) and v(1)?
154
Let g = 35 + -44. Calculate the common denominator of (g/60)/(16/1080) and 77/8.
8
Find the common denominator of 3*1/15 - (-4994)/(-10945) and -57/7.
1393
Let r be ((-1)/2)/(2/(-188)). Suppose -5*b - 3*k + r = 0, -5*b + 31 = k - 2*k. What is the lowest common multiple of b and 11?
77
Find the common denominator of ((16/6)/4)/((-49)/(-119)) and 149/54.
378
Let v(p) = -p + 15. Let x be v(12). Suppose -2*d + 10 = k, -x*k = 2*k - 2*d - 98. What is the lowest common multiple of 21 and k?
126
Let m = 23 + -27. Calculate the common denominator of (-3)/m - (-86)/(-32) and 59/10.
80
Suppose 0 = 21*r - 2*r - 3762. Calculate the smallest common multiple of 126 and r.
1386
Suppose 0*y = -3*y + 3. Let v = 445/2 + -205. What is the common denominator of 91/18 - (-3)/y and v?
18
Let x = -8 + 19. Let v = -48 + 53. What is the least common multiple of v and x?
55
Let k(f) = -5*f**2 - 2*f + 2. Let w be k(2). Let c = 42 + w. Let h(o) = -o**2 - 99*o + 650. Calculate the smallest common multiple of h(-105) and c.
20
Let d = 1289091/141272 - -2/17659. Let z = 1017/170 - 49/17. Find the common denominator of z and d.
40
Let a be -1 + (-15896)/11 - (0 + -3). Let q = -1442 - a. Find the common denominator of (-18)/4 - (-2)/(-5) and q.
110
Let c = -23 + 19. What is the common denominator of 48/(-15) - c/6 and 77/12?
60
Let b be 75/(-10)*(-4)/(-6). Find the common denominator of (14/112)/(b/4) and -137/6.
30
Suppose -3*s - 9 + 15 = 0. Suppose 4*x + s*y = 18, -5*x + 4*y - 5 = y. What is the smallest common multiple of x and 16?
16
Calculate the common denominator of 22/239 and ((-3)/8)/((-64)/(-3328)).
478
Let l = -723 + 513. What is the common denominator of -93/20 and 4/(-14) + 591/l?
20
Let n be -10*(1 - 10/2). Let k = -66433/4 - -16607. What is the common denominator of (2/n)/((-1)/(-234)) and k?
20
Let s = -52536 - -5096038/97. Calculate the common denominator of 61/9 and s.
873
Suppose k - 29 = -5*g, 22 = 10*k - 9*k - 2*g. Calculate the common denominator of k and -83/88.
88
Let b = -3/19 + -1419/38. Find the common denominator of b and (-91)/(-196)*10/1.
14
Suppose 3*p = 4*p - 1. What is the smallest common multiple of p and (-48)/((-4)/(-1))*-1 + -3?
9
Suppose 0 = 5*y - 3276 + 816. What is the common denominator of y/8*2/(-108) and -57/8?
72
Suppose 0*m = 3*n - 2*m + 5880, m = -3*n - 5880. Let o = -7893/4 - n. Find the common denominator of o and 1 - (-2)/8*-23.
4
Let a be ((-205)/20)/(2/8). Let o = a - -52. Let p(s) = s - 1. Calculate the smallest common multiple of o and p(6).
55
Let h = -93 + 157. Let y = -46 + h. What is the smallest common multiple of 22 and y?
198
Suppose -3*f + 38 = 14. Let m(i) = 2*i**2 + 15*i + 11. Calculate the smallest common multiple of f and m(-7).
8
Let j = 18 - 8. What is the least common multiple of 14/((2 - 0) + -1) and j/2*2/5?
14
Suppose 3*d + 4*q + 84 = 0, 16 = -3*d + 3*q - 47. Calculate the common denominator of 14/(-180) - d/30 and 73/112.
1008
Let s = -355/2 + 183. Suppose 0*g = -2*g + 3*q - 14, -12 = 5*g + 4*q. Calculate the common denominator of -1 + (-85)/g + -2 and s.
4
Suppose 42*y = 38*y + 44. Let q = -6 + 15. Let o = 0 + q. Calculate the least common multiple of y and o.
99
Let w(b) = b**3 - 10*b**2 + 10*b - 8. Let h be w(9). Find the common denominator of (h - -1) + (-267)/81 and -59/30.
270
Let j = -12 - -12. Suppose 0*s - 2*s + 6 = j. Calculate the least common multiple of (-24)/10*(-20)/s and 4.
16
Suppose 8 = 2*s + 2*q, -4 = -s - 0*q + 3*q. What is the smallest common multiple of s and 174?
348
Let p = -900 + 32407/36. Find the common denominator of 49/212 and p.
1908
Let u be (-3)/6 + 1 + (-3)/6. Suppose 4*d - 5*h = 39, -5*h = -u*d + 3*d - 3. Calculate the smallest common multiple of d and 2.
6
Let f(b) = 12*b + 284. What is the smallest common multiple of (-1)/(-3) + 59/3 and f(-22)?
20
Let o = 13 + 11. Find the common denominator of ((-218)/o)/((-2)/4) - -3 and -121/6.
6
Let d(c) = c**2 - 8*c - 8. Suppose 1 = -2*f + 19. Calculate the least common multiple of d(f) and 11.
11
Suppose 535 = -5*o + 5*z, 2*o + 2*z + 212 = 3*z. What is the common denominator of ((-1)/(-2))/(o/1099) and -59/18?
90
Let o(w) = w**3 + 4*w**2 - 14*w - 33. What is the least common multiple of o(-5) and 24?
24
Let n = -27 - -43. What is the least common multiple of 138 and n?
1104
Let u = 1349 + -32369/24. Calculate the common denominator of u and 3/15 + (-9058)/840.
24
Let r(t) = -t**3 + 58*t**2 - 108*t + 109. Calculate the least common multiple of 33 and r(56).
3663
Let l(s) = -46*s - 1. Suppose 367 - 437 = -10*i. What is the least common multiple of i and l(-1)?
315
Suppose 0 = f + 3*i - 15 + 9, i = -4*f + 24. What is the least common multiple of f and 108?
108
Suppose -5*n + c + 5 = -14, 3*n - 16 = -4*c. What is the least common multiple of 2*(1 + (-1 - (-10)/n)) and (0 + -1)/(1/(-7))?
35
Suppose -3*f - 38 = -62. What is the least common multiple of 3 and f?
24
Suppose -289*u + 293*u = 8. Calculate the lowest common multiple of u and 7.
14
Let q = 9589/4 - 2372. What is the common denominator of q and 2/7 + (-40)/(-28)?
28
Let w = -542961/40 - -13571. Calculate the common denominator of w and -77/148.
1480
Suppose -f = -2*y + 7*y - 20, 0 = -3*f - y + 4. Let t(r) = r + 6. Suppose -2*p = -p - 8. Calculate the least common multiple of t(f) and p.
24
Suppose 0 = -5*m + 21 + 4. Suppose 5*w = b + 45, 0*w + w - m = b. What is the smallest common multiple of 183/15 - 1/5 and w?
60
Let s(p) = 36*p - 6. Let j be s(-2). Let o = j + 1247/16. Calculate the common denominator of o and 37/6.
48
Calculate the common denominator of -29 and 166/2241*(-42)/26.
117
Suppose 8*g = 3*g + 20. Suppose -12*s + 5*a = -8*