?
6
Suppose -6*l + l = -100. Let y = 16 - l. Find the common denominator of 3/38 and (101/y)/(66/12).
418
Let y = 1516 + -10569/7. Find the common denominator of 93/8 and y.
56
Suppose -v = -2, -5*w + v = -3*v + 1733. Find the common denominator of 1 + 0 + w/(-50) and -11/14.
70
Suppose 9653 = 3*c + 674. Let f = -32887/11 + c. What is the common denominator of f and -57/35?
385
Calculate the least common multiple of 187 and 3/7 + (16020/21)/5.
1683
Let o(p) = -12*p + 12. Let j be o(5). Let l be (2 - -1)/(j/71811). Let c = -4490 - l. Find the common denominator of c and 5/8.
16
Suppose -4*x + 20 = -0*x. Suppose x*v - 8 = 12. Suppose -2*r + v*d = -22, d + 19 = 4*r - 2*d. Calculate the least common multiple of 8 and r.
8
Suppose 23 = 7*s + 51. Find the common denominator of ((-182)/(-4))/((-36)/s) and -49/32.
288
What is the smallest common multiple of 15 and (-9)/(-3)*(-4 + 6 + -1)?
15
Let i(o) = 4*o - 66. Let m = 4 + 13. Calculate the lowest common multiple of 20 and i(m).
20
Let a = -583/35 - -117/14. Find the common denominator of (-82)/18 + 7/(-21) and a.
90
Let u = 4 - 3. Let x be u - -4*9/(-4). Calculate the common denominator of (-101)/5*(-4)/x and 97/22.
110
Let w be -11033 + -1 - (5 - 7). Let i be (9/16)/((-42)/w). Let r = 152 - i. What is the common denominator of -75/14 and r?
28
Suppose -o - 13 = -5*h, 0 = -4*o - 2*h - h + 40. Let p = 3 - o. Calculate the common denominator of p - 4/(24/255) and -5/12.
12
Find the common denominator of 0 + (2 - (-1)/(48/172)) and 41/16.
48
Let r(o) = o**3 + 25*o**2 - 87*o - 54. Calculate the least common multiple of 30 and r(-28).
30
Let i = 313 - 2186/7. Calculate the common denominator of i and 1 + ((-5)/35)/((-3)/(-171)).
7
Suppose 2*y + c + 7 = -2*c, 5*c + 9 = -4*y. Let j = -370 + 263. Let g = 113 + j. What is the least common multiple of g and y?
12
Suppose -j - 5 - 3 = -o, 5*o = 4*j + 40. Let k = o - 6. What is the smallest common multiple of k and 4?
4
Let a(y) = 11*y**3 + 2*y**2 + 24*y - 71. Calculate the smallest common multiple of 10 and a(5).
7370
Calculate the common denominator of 14100/1269*3/304 and 47/114.
228
Suppose -3*c + 21 = -33. What is the least common multiple of 0*(-1)/2 + (51 - 11) and c?
360
Let a(s) = -s**3 - 39*s**2 - 5*s - 177. Calculate the smallest common multiple of 160 and a(-39).
1440
Let q(l) = l**3 + 16*l**2 + 14*l + 52. Let i be q(-16). Let s = i - -511/3. Find the common denominator of 125/24 and s.
24
What is the common denominator of (-114)/4*10/12 and ((-2)/16)/((-20)/(-430))?
16
Calculate the common denominator of -67/160 and (-6 - 988/(-80)) + (-1)/5.
160
Let f = -5021 + 40115/8. Calculate the common denominator of ((-2)/23)/(8/(-186)) and f.
184
Let c = -100407614031/1820 + 55169021. Let x = c + 332/91. What is the common denominator of x and -45/4?
20
Let f(k) = k + 1. Let p be f(3). Let n = -83 + 87. Suppose y - 49 = -p*x, -n*y + 33 - 2 = x. What is the smallest common multiple of x and 11?
11
Let v(w) = -w**2 - 13*w + 10. Let q be v(-13). Suppose -5*i = -4*i - q. What is the lowest common multiple of 22 and i?
110
Let u(j) be the first derivative of -1/3*j**3 + 1 + 15*j + 6*j**2. Calculate the smallest common multiple of u(13) and 20.
20
What is the common denominator of 15/16 and (-4)/1*(62/14 + -3)?
112
Suppose -14*v + 540 = 16*v. What is the lowest common multiple of 48 and v?
144
Let j(c) = -c**3 + c**2 + 3*c + 2. Let u be j(-2). Let v be (u/10)/((-4)/(-30)). Suppose -12 = -v*w + 24. What is the smallest common multiple of w and 30?
30
Let m = -2 - -13. Let q = 502/39 - 40589/3120. Calculate the common denominator of q and (-10)/36*m - -1.
720
Let r be 8/48 - 170/804. Let u = r + -3947/134. Calculate the common denominator of u and 40/11.
22
Suppose -9*y + 18 = -8*y. What is the lowest common multiple of y and 280?
2520
Let d = 1067/335 - -1/67. Find the common denominator of d and 97/20.
20
What is the common denominator of (-333)/42 + 2/4 and (-1976)/(-11180) + (-9)/(-30)?
602
Let r = 455/7057 + -364532975/56456. Let x = -6467 - r. What is the common denominator of (10/(-12))/(-5)*-53 and x?
24
Suppose 4*l + q + 16 = -3*q, -5*l - 6 = -2*q. Let o = 56 + -53. What is the smallest common multiple of (o/(-6))/(l/200) and 12?
300
Suppose 0 = -4*j + 2*z + 2, 0*z = -j + 2*z - 4. Suppose 4 = 2*k - j. Calculate the lowest common multiple of k and 4.
12
Let i = -3967/9 - -86527/198. Let b = -29 - -37. What is the common denominator of i and 78/b*(-115)/(-138)?
88
Let x(c) = -c**3 + 8*c**2 - 5*c - 9. Let z be x(7). Let r = -468/11 - -971/22. Find the common denominator of r and -1 - ((-125)/(-8))/z.
88
Let m(b) = b - 9. Suppose -25 = -4*k + 159. Let o = k - 34. Calculate the lowest common multiple of 6 and m(o).
6
Suppose -55*i + 48 = -43*i. Calculate the smallest common multiple of i and 6.
12
Let z be 1 - (2/(-2) - 37). Suppose 33 = 4*t - z. What is the least common multiple of (-30)/7*(-84)/18 and t?
180
Let y = -10/401 - -24641/7218. Suppose -s + 0*s = 1. Calculate the common denominator of (-2)/16*(-94 - s) and y.
72
Let l = -8 + 11. Let h = 147 + -143. Suppose 0 = h*r - 16, 0*r - l*r = 2*u - 40. What is the least common multiple of 30 and u?
210
What is the common denominator of 61/144 and ((-2)/(-16))/(((-2187)/(-2412))/9)?
432
Suppose 5*p = 4*g - 205, -2*g + 2*p = 3*g - 235. Let l = g - 27. Let w(i) = i**3 + 4*i**2 - 6*i + 1. What is the smallest common multiple of w(-5) and l?
18
Let y be (1 - -3) + (-8)/8. Let p(l) = -2*l - 3 - 3 + y*l. What is the lowest common multiple of p(10) and 8?
8
Let u = 2621 - 1847. Calculate the least common multiple of u and 6.
774
Calculate the common denominator of 6/45 + 1122/90 and -4 + 2 - 182/(-18).
45
Let w(s) = -29*s + 3. Let h be w(2). Find the common denominator of -2 + 0 + h/(-2) and (-5)/10*(-268)/(-6).
6
Calculate the common denominator of -31/841 and 80/6 - (-2 + 3).
2523
Let z = 102 + -58. Let w = -26 + z. Find the common denominator of 2/9 + (-283)/w and -87/8.
8
Let o be 1/(1 + (-4 - -2)). Let z = o - 9. Calculate the lowest common multiple of 12 and (-3)/6 - 25/z.
12
Suppose -3*a - 715 = 2*t, 4*t + a - 727 = 6*t. Let m = t - -4387/12. What is the common denominator of m and 43/14?
84
Let y = -184965626113/792137355 + 2/3106421. Let f = 1168/5 + y. What is the common denominator of f and 53/18?
306
Let w(a) = 9*a**2 + 2*a + 1. Let i = 170 + -83. Suppose 6*b - i = -9. What is the smallest common multiple of w(-1) and b?
104
Suppose 0 = i - 2*i. Let q = -9 - i. Calculate the common denominator of -53/40 and (110/105)/(4/q).
280
Let g = -13 - -33. Let v(o) = -o**3 + 16*o**2 + 3*o - 36. Calculate the smallest common multiple of g and v(16).
60
Suppose -158 = -2*f - 5*o, -f + 3*f + o - 166 = 0. What is the smallest common multiple of f and 60?
420
Let p(h) = 83*h - 24. What is the least common multiple of 50 and p(3)?
450
Let d(m) = -13*m - 2. Suppose -4*v = 5*k - 4, -2*k + 0 - 2 = v. What is the lowest common multiple of d(-2) and v?
24
Calculate the common denominator of ((-804)/150)/((-44)/5) and 59/77.
770
Suppose -h = -3*h - 1676. Let g be h + 1 + -1 - -4. What is the common denominator of g/28 - 8/(-28) and 2/9?
18
Suppose 12*h = 287 - 11. Calculate the least common multiple of 6 and h.
138
Let q = 4 + -2. Let k = 129 - 125. Suppose 2*j = 3*j - 3, -k*j = q*n - 28. Calculate the lowest common multiple of 16 and n.
16
Let q = -20 + 42. What is the common denominator of q/(48/27*-2) and ((-1)/6)/((-20)/(-438))?
80
Calculate the common denominator of -27/22 and (-1)/3 + -3 + (-291)/(-252).
308
Let t = -354 + 390. Calculate the least common multiple of 10 + -2 + 4 + -2 and t.
180
Let i be (3/(-6))/((-3)/18). Suppose -17 + 23 = i*o. What is the smallest common multiple of 7 and o?
14
Let h = -5141741/7547040 + 2/47169. What is the common denominator of h and -51/2?
160
Let q(f) = 1. Let n be 290/(-3) - (-2)/3. Let m(i) = 16*i + 96. Let r(h) = n*q(h) + m(h). Calculate the common denominator of r(-3) and -51/4.
4
Let y be 4 + 0*5/(-10). What is the common denominator of y/6 - 22/(-132) and -61/98?
294
Let n = -1206/229 - 125419/11450. Let z = 747086/172925 - 2/6917. Let w = n + z. What is the common denominator of -50/9 and w?
90
Suppose 8*d = 7*d - 1. Suppose -r - 4 - 5 = 3*a, -2 = 4*a - 2*r. What is the