Calculate the common denominator of 47/4 and f.
44
Let t = -967/52 - 121/26. What is the common denominator of ((-1)/(-14))/(54/8001) and t?
12
Suppose -5*i + 4*i - 1805 = 0. Let o = i + 17991/10. Calculate the common denominator of -21/16 and o.
80
Suppose -40*s - s = -5904. Calculate the lowest common multiple of 45 and s.
720
Let x = -13053/10 - -17281/20. Let a = x + 447. Calculate the common denominator of -97/18 and a.
36
Let o be 4/8*16/2. Suppose o*s = 9 + 3. Suppose u + 17 = s*h, 0 = h + h - 4*u - 28. Calculate the least common multiple of h and 6.
12
Let w(h) = 2*h + 10. Let k be w(-8). Let r be 611/(-24) - k/8. Let t = r - -243/8. What is the common denominator of t and -54/7?
21
Suppose 0 = -3*n - 2*n + 15. Suppose -n*f + 11 + 22 = -5*z, 4*f - 44 = -4*z. Calculate the smallest common multiple of 2 and f.
22
Let j = -431/144 - -14/9. Find the common denominator of j and 9/176.
176
Let s be (-3 - (-6 + 3)) + 2095. What is the common denominator of -2*145/420 - (-2)/6 and (-4)/(-18) - s/2340?
364
Suppose -q + 140 = 2*x, -5*x - q + 175 = -181. Calculate the lowest common multiple of (3 + 1/2)*48/84 and x.
72
Let k(b) = -b**3 + 7*b**2 - 7*b + 8. Let w be k(6). Let m(f) = -f**2 + 4*f - 2. Calculate the least common multiple of 0 + 8 + 0 + -1 and m(w).
14
Let i = 365 + -363. What is the lowest common multiple of i and 5?
10
Suppose -2*u + 124 = 5*l - l, 0 = -3*l + 4*u + 115. Let k = 315 - 1281/4. What is the common denominator of k and (-6)/(-9) + 134/l?
44
Let z(l) = 906*l**2 - 2*l - 1. Let k be z(-1). Let g = k - 19945/22. Find the common denominator of 43/4 and g.
44
Calculate the common denominator of 28/305 and ((-567)/60)/9*42/14.
1220
Let i(c) = -c**3 + 13*c**2 + 29*c + 29. Calculate the lowest common multiple of i(15) and 112.
112
Let h(b) = -b**2 - 36*b - 288. Calculate the least common multiple of h(-14) and ((-4)/(-10))/(2/80).
80
Suppose 5 = -5*i - 2*p, 2*i + 0*p + 21 = 3*p. What is the lowest common multiple of 24 and (i/6)/(2/(-16))?
24
Suppose 0 = -23*d + 30*d - 84. Let q(g) = -6*g - 1. Let f be q(-1). Suppose 3*p - 9 = -3*i, -2*i - 13 = -p + f. What is the smallest common multiple of d and p?
24
Calculate the lowest common multiple of 187 and (-2)/(-8) - (22 + (-4428)/16).
2805
Let l(w) = w**2 - 7*w - 25. Let u be l(-10). Let v = u - 133. What is the smallest common multiple of v and 22?
132
Let y = -12114019459 - -134998632724357/11144. Let f = -3/1393 + y. What is the common denominator of f and 35/24?
24
Let w(k) = -k**3 + 15*k**2 + 36*k + 61. What is the least common multiple of 1 and w(17)?
95
Suppose -24*p - 12 = -20*p. Calculate the least common multiple of 36 and 48/264 + (1182/(-11))/p.
36
Suppose -4*u - 4*z + z + 25 = 0, -5*z + 15 = 4*u. Suppose -2*s + 6 = 4*d, 15*d = 17*d + 4*s + 12. What is the lowest common multiple of d and u?
20
Let r = -50729/40 - -1271. Find the common denominator of r and (-100)/15 + 2/8.
120
Let t be 2 - (-32)/(-12) - (-732949)/(-66). Let k = 11104 + t. Find the common denominator of (-6)/15 - 123/(-70) and k.
154
Let s(x) = -x**2 + 4*x - 4. Let i be s(3). What is the least common multiple of (2/5)/((-3)/(-15)) and (21 - (0 + i)) + -2?
20
Suppose 0 = -4*g + 4 + 4. What is the common denominator of (-755)/(-60)*(g + -4) and (2/10)/((-8)/(-1010))?
12
Find the common denominator of -133/30 and 598/(-210) - (-12)/9.
210
Suppose -w = 2*w. Suppose -4*o + 24 = 4*i - w*o, -3*i + 18 = -o. Suppose 3*z = i*z - 12. What is the smallest common multiple of 4 and z?
4
Suppose 3*l - 1 + 4 = 3*m, 5*m - 2 = 4*l. What is the common denominator of 125/24 and (-55)/18 - (-2 + 1 + m)?
72
Let r = -1521 + 1548. What is the least common multiple of 90 and r?
270
Let q = -3 - -7. Suppose 1 = p + 3. Calculate the smallest common multiple of q and 9 - -1*p/(6/9).
12
Let w be (-7)/(-14)*226/(-60) - -2. Let x = 2723/60 + w. Find the common denominator of x and 34/7.
14
Let u(s) = s**3 + 8*s**2 - 4*s + 4. Suppose -6 = 2*c + 10. What is the least common multiple of u(c) and 1612/156 + (0 - 2/6)?
180
Let s(n) = 5*n**2 - 12*n - 250. Let a be s(-11). Let t be ((-3)/2)/(6/(-1762)). Let q = a - t. Find the common denominator of 27/10 and q.
10
Let f(m) = 4*m**2 - 3. Let u be f(-3). Suppose 2*v = v + u. Calculate the smallest common multiple of (44/v)/(4/54) and 20.
180
Suppose 3*n = 5 - 44. Suppose 3*h - 4*q + 30 = -26, 5 = q. Let r = h - n. What is the lowest common multiple of r and 2?
2
Let n(l) = -l**3 - 18*l**2 - l + 6. What is the least common multiple of 27 and n(-18)?
216
Suppose -38*n + 48 = -34*n. Let r be (9/6)/((-9)/n). What is the least common multiple of 4 and -4 - 24*(r + 1)?
20
Let f = -260 + 296. Calculate the least common multiple of f and (-5)/(10/4) - -32.
180
Suppose 6*l - l - 5 = 0. What is the common denominator of (-5)/(-44)*l*(-21 - -3) and 51/4?
44
Let t = 26/11 - 751/99. Let o = -2/10679 - 1398937/64074. What is the common denominator of o and t?
18
Let u be (-6)/(-9) + 118/(-6). Let k = u + 24. Suppose -5*h + k - 4 = s, 4*s = -2*h + 40. What is the smallest common multiple of 29 and s?
319
Let k = 3241 - 3239. Let x = 2 + 2. What is the least common multiple of k and (-1 - (-2)/x)*-14?
14
Let l be (0 + 2 - -1)/(5/(-40)). What is the common denominator of 117/14 and (3/(-2))/(l/356) + 1?
28
Let x = 8019 - 264697/33. Let h = -905275/24 - -37726. Find the common denominator of h and x.
264
Let l(t) = t**3 - 11*t**2 + 10*t + 2. Let g = 4 + 14. What is the smallest common multiple of l(10) and g?
18
Let w = 2249 + -2081. What is the least common multiple of 144 and w?
1008
Let g(f) be the third derivative of -f**5/60 - 2*f**4/3 - 7*f**3/6 + 2*f**2. Calculate the smallest common multiple of g(-5) and 6.
48
Let l = 48521/4710 - 4/2355. Find the common denominator of (1 - (-334)/(-16))*30/135 and l.
60
Let k = 4148415/112 - 37039. What is the common denominator of k and 3/8?
112
Suppose 14*w + 0*w = 28. Let r = -14 - -14. Suppose -14 = 2*p - 7*p + 4*d, -2*p - 3*d + 24 = r. Calculate the least common multiple of w and p.
6
Let y = -23 + -26. What is the least common multiple of (-48)/21 + 2 + (-308)/y and 133?
798
Suppose 3*t - m = -125 + 519, -t = -3*m - 142. What is the least common multiple of t and 6?
390
Let g = 48 + -30. What is the lowest common multiple of 24 and g?
72
Suppose 51 = -38*x + 735. What is the lowest common multiple of 110 and x?
990
Suppose -12 = -9*c + 6. Find the common denominator of (-4 - 75)/(-10*c) and -109/14.
140
Suppose -11*r = -r - 50. Suppose -y + 17 = 2*z, 5*z + r*y + 6 = 36. What is the least common multiple of 1 and z?
11
Suppose 25*d - 9*d = 144. What is the lowest common multiple of d and 27?
27
Let l = -4141/1440 + -7/288. Let u = -723/116 + -15/29. Calculate the common denominator of l and u.
20
Suppose 4*v + 5 + 43 = 0. Let t = 11/31 + -1419/155. What is the common denominator of t and v/(-2)*62/8?
10
Let r = 20 + -18. Find the common denominator of -3 and (r/18)/(10/170).
9
Let o = 417/43 + -37823/3612. Find the common denominator of o and -73/48.
336
Suppose 3*l + 51 - 12 = 0. Let y = 16 + l. Suppose m = 4*a - 20, -a - 8 = y*m - 0. Calculate the lowest common multiple of a and 2.
4
Suppose 4*u - 3296 = 8*g - 4*g, 5*g = -3*u + 2448. Suppose u - 53 = -4*m. What is the common denominator of 69/10 and ((-5)/110)/(2/m)?
110
What is the common denominator of 22/3 and -2 - ((-265)/120 - -6)?
24
Let w(f) = -10*f - 24. Let n(i) = -9*i - 23. Let q(l) = 7*n(l) - 6*w(l). Calculate the lowest common multiple of q(-9) and 1.
10
Suppose -3*h + 3*i = -102, -4*h + 0*h + 146 = i. What is the lowest common multiple of h and 36?
36
Let s = 24 + -24. Suppose s = -3*p + 9*p. Suppose -d + 0*d + 6 = p. What is the lowest common multiple of 3 and d?
6
Calculate the common denominator of (4/(-10) + 2)*(-35)/(-22) and 105/232.
2552
Let c(y) = 25*y - 7*y - 13*y - 67. Calculate the lowest common multiple of 9 and c(20).
99
Let d(h) = h + 5. Let j be d(0). Suppose j*y - 9 = 2*y. What is the smallest common multiple of y and 4?
12
Suppose -4*r = -5*p + 87054, 7*r - 2*p + 108826 = 2*r. Let s be r/(-6)*(-3)/(-6). Let g = s + -1825. What is the common denominator of g and 32/5?
30
Suppose 4*l + 4 = 5*z - 4*z, 0 = 5*z + 3*l - 20. Suppose -i = -0*i - 5. Suppose i*b = b + 8. Calculate the small