6)/40)/((-48)/o).
8
Let r = 95637/41 + -2332. What is the common denominator of -79/8 and r?
328
Suppose 46 = r + 30. Suppose -v - 22 = -2*q, 6 = 2*q - 4*v - r. Calculate the least common multiple of q and 7.
77
Let i = -170 + 198. What is the lowest common multiple of i and 24?
168
Find the common denominator of (-123)/(-6) + 1/4 and (46/(-7))/(12 - 16).
28
Let g = -3/2068 + 82747/18612. Find the common denominator of g and -13/21.
63
Let k = -92530 + -2123. Let w = k + 2933921/31. Let h = w + 9905/682. What is the common denominator of -35/18 and h?
198
Let o = 4419 + -1556. Let j = o - 5991. What is the common denominator of 2/5 - j/480 and 43/4?
12
Let i(y) = 8*y**2 - 11*y + 4*y - 15*y**3 + 16*y**3. Let a be i(-9). Find the common denominator of ((-2)/a)/((-7)/371) and -15.
9
Suppose 4*s - 3*s - 2 = 0. Let g(d) = 0*d + d - 3 - s + 0*d. What is the lowest common multiple of g(8) and 3?
3
Let y(x) = 4*x - 4. Let q(p) = -13*p - 3. Let n be q(-2). Let w = -15 + n. What is the lowest common multiple of w and y(3)?
8
Suppose -5*l + 4*n - 70 = 0, -3*l + 2*n + 3*n - 29 = 0. Let x be 7/(-21) + 86/l. Let m = -8/3 - x. Calculate the common denominator of m and 67/10.
90
What is the smallest common multiple of 52 and 531/12 - 5/20?
572
Let x = 1527/4 - 384. Calculate the common denominator of 67/(-50) - 4/(-24) and x.
300
Let p(n) = n**3 + 8*n**2 + 4*n - 17. Let i be p(-7). Suppose -4*g - 2*h + 78 = -4*h, i*g = h + 83. What is the lowest common multiple of 24 and g?
264
Let z(o) = -o**3 - 16*o**2 - 15*o + 22. What is the smallest common multiple of (-16)/2*-1*(4 + -3) and z(-15)?
88
Let r = -20/611 + -55401/6110. Calculate the common denominator of 7/614 and r.
3070
Let c = 1809/713 + -68/23. What is the common denominator of c and -13?
31
Let t = -85 + 82. What is the common denominator of -64/15 and 15/t - -1 - 145/35?
105
Let i be 17818*(-4)/(-352)*4. Let q = i + -817. Let x = q + 69/11. Find the common denominator of -13/2 and x.
22
Suppose -4*g - 171 = -459. What is the smallest common multiple of g and 20?
360
Let n(h) = -25*h + 59. Let s be n(9). What is the common denominator of (-6)/33 - s/(-44) and 0/(-3) + (-89)/(-58)?
638
Let u(q) = -q**3 + 11*q**2 + 3*q - 25. Let x(g) = -3*g + 11. Let s be x(0). What is the smallest common multiple of u(s) and 4?
8
Let m(b) = 4*b**3 + b**2 + b + 1. Let x be m(-1). Let d = x + 5. Calculate the smallest common multiple of 8 and d.
8
Suppose 3*d = -2*d + 4*h + 2, -2*h = 4*d - 12. Let t(r) = 5*r**2 - 3*r + 8. Calculate the lowest common multiple of t(d) and 18.
198
Suppose 2*t = 4*q - 60, -4*t - q = 198 - 69. Calculate the common denominator of 118/t - (-16 - -15) and -121/18.
144
Let z = 18511/14 - 1319. Let n be (30/25)/(1/(-5)). Calculate the common denominator of z and (-2)/n - (-68)/(-16).
84
Let a(g) = -g**3 - g**2 + g + 105. Let u be a(0). Suppose -5*j = -d + 67, -2*j = 3*d - 15 + 52. Calculate the common denominator of -1/2 and j/u + (-2)/10.
6
Suppose 2*r - 18 - 6 = 4*p, 2*p = 4*r - 78. Calculate the lowest common multiple of 3/(-2)*110/(-45)*6 and r.
22
Suppose -5*p = 3 + 17, -2*j - p = -4. Let y(h) = h**3 - 3*h**2 - 2*h + 1. Calculate the smallest common multiple of y(j) and 1 + ((-4 - -6) + 2 - 1).
36
Calculate the common denominator of (-171)/(-399) - (-880)/(-126) and -47/9.
9
Suppose 3 + 0 = 3*q. Calculate the lowest common multiple of q and 42.
42
Let x(b) = 4*b**3 + 7*b**2 + 2*b + 8. Let w(f) = 9*f**3 + 15*f**2 + 5*f + 15. Let m(n) = 3*w(n) - 7*x(n). What is the smallest common multiple of m(-5) and 33?
99
Let w = 3569/2289 - -4/327. Find the common denominator of -39/10 and w.
70
Suppose 0 = -3*z - 41 - 61. Let m = z + 38. Calculate the lowest common multiple of 14 and m.
28
Suppose -7*m + 3*m = 4*w, 3*m = 5*w + 40. Let o(c) = -c**3 + 6*c**2 + 2*c - 9. What is the smallest common multiple of 7 and o(m)?
182
Let f(i) = -12*i**2 - 5*i - 8 + i**3 + 0*i**3 + 6*i. Let l be f(12). Calculate the least common multiple of 8 and (l - 3) + 1 - -8.
40
Let h = 4322407/8 + -539396. Let z = h - 915. What is the common denominator of z and 113/6?
24
Let l(g) = 3*g - 33. Let j be l(10). What is the common denominator of 71/6 and 16/5 + -1*(j - -5)?
30
Suppose -3*f - 12 = -f - 2*s, 2*f - 3*s + 12 = 0. Let o(g) = -g**3 - 3*g**2 - 4*g - 5. Calculate the lowest common multiple of 14/6 - f/9 and o(-3).
21
Let f(j) be the second derivative of -j**3/3 + 21*j**2/2 + 33*j. Calculate the smallest common multiple of f(5) and 11.
11
Let v be 6/162*6 + 2607274/(-180). Let a = 14479 + v. Find the common denominator of a and 73/21.
210
Suppose 0*i = 2*j + 4*i + 54, 0 = 5*i. Let x = 30 + j. Calculate the lowest common multiple of 3 and x.
3
What is the common denominator of (-7130)/1725*-3*1 and 109/84?
420
Let w = -23/51 + 899/561. Calculate the common denominator of w and -137/12.
132
Let z(t) be the third derivative of -t**4/6 + 11*t**2. Suppose 3*u - 1 = -16. Calculate the least common multiple of z(u) and 2.
20
Suppose 4*v - 5*g = 367, -2*g - 3*g - 15 = 0. Suppose 0 = -8*t - 3*t + v. Calculate the smallest common multiple of t and 34.
136
Suppose -w = 2*k - 8 + 2, 0 = -5*k - 25. Suppose 0 = 5*r - 69 - w. Let v = r - 9. Calculate the smallest common multiple of 5 and v.
40
Let c = -15 - -18. Suppose -7 - c = -n. What is the smallest common multiple of n and 3?
30
Calculate the smallest common multiple of (-4)/(64/72)*40/(-18) and 22.
110
Suppose 58 = 5*v + 4*m - 78, 0 = -2*v - 2*m + 56. Calculate the smallest common multiple of v and 40.
120
Let z = -3 - -11. Suppose 4*f = 5*f - z. Let n(b) = -5*b - 3. What is the least common multiple of n(-3) and f?
24
Let l = -10449 - -950848/91. What is the common denominator of 46/119 and l?
1547
Let o be 7 + 0 - 5/((-5)/(-3)). Find the common denominator of -23/7 and 38/3*(o + (-375)/96).
112
Suppose 4*b - 6*b + 292 = 0. Let y(i) = -13*i - 56. Let s be y(-6). Find the common denominator of b/12 + s/33 and -20/7.
42
Let d = -25181 - -3122469/124. What is the common denominator of d and 73/279?
1116
Let x be (-4)/6 + 2156365/1410. Let a = x + -1528. Calculate the common denominator of a and -16/3.
282
Suppose -241 + 37 = -4*m. Calculate the common denominator of -77/6 and -1 + (-1 - m/63).
42
Let j be -1 + (-15)/(-6) - 1570/(-20). Calculate the lowest common multiple of 24 and 12/5*j/6.
96
Let w = 121/261 - 6/145. Find the common denominator of 73/3 and w.
45
Let y = 164 - 156. Calculate the common denominator of -27/4 and -10 + y + 74/(-24).
12
Let x(v) = v - 25. Find the common denominator of 82/(-287) - (-1)/7 and x(0).
7
Suppose 2*c - 6 = 3*t - 0, -5*t = 2*c + 10. Let x = 4 - c. Suppose 29 = -4*a - 3*v + 250, v - 223 = -x*a. Calculate the lowest common multiple of a and 2.
56
Let j = -5 - -15. Suppose 3*c + 2*c = j. Suppose -c*s = -3*a + 2, -a = 3*a + 4*s - 16. What is the smallest common multiple of a and 7?
14
Let k be ((-8)/10)/(44/(-26110)). Let i = -478 + k. What is the common denominator of 30/11 and i?
11
Suppose -4*n = m + 225, 102 = -2*n - 0*n - 4*m. Let y be -38*(-3)/(-3) + 3. Let c = y - n. Calculate the lowest common multiple of c and 2.
22
Let w(l) = 4*l**2 + 2*l - 3. Let b be w(1). Suppose -4*m + 35 = 4*j - b*m, j = m + 15. What is the smallest common multiple of 1 and j?
10
Suppose -2*w - 3*w = -3*i + 395, 25 = 5*i. What is the common denominator of w/3 - 4/((-16)/6) and 17/9?
18
Let w = 7217/9 + -799. Find the common denominator of w and -99/8.
72
Let q = -50 + 80. Calculate the smallest common multiple of q and 6.
30
Let p = 14 - 8. What is the common denominator of ((-340)/(-12))/(4/p) and (196/20)/(8/(-10))?
4
What is the common denominator of 948/33*(363/120 + -3) and 6/121?
1210
Let w be 1*(0 - (0 + 1)). Calculate the common denominator of ((-2)/(-4)*41)/w and (-3)/(-6)*973/42.
12
Let p = -14073/743687 + 18/811. Let w = -22763/49518 - p. What is the common denominator of -22/9 and w?
54
Suppose 56 = -7*f + 266. What is the lowest common multiple of 36 and f?
180
Calculate the common denominator of 89/16 and ((-5)/(-150)*-9)/(64/10).
64
Suppose 4*b - 15 - 137 = 0. Calculate the lowest common multiple of (-6)/27 + (-160)/(-315) - (-770)/49 and b.
304
Let r = 7/310 - 13519/8370. Find the common denominator of r and -34/21.
189
Let u be 3113101*(3 + -1)/(-1