850 + p. What is the common denominator of d and h?
10
Suppose 34*b = 31*b + 111. Calculate the lowest common multiple of b and 11.
407
Let h = 12 + -4. Suppose 3*m - 20 = -0*a - a, 0 = 3*m - 3*a. Suppose -2*k = m*k - 28. Calculate the least common multiple of h and k.
8
Let y = -219013/2684 - -3856/61. Let k = -91/22 - y. Find the common denominator of 245/(-24) - (-1)/3 and k.
8
Let m = 320 - 280. What is the lowest common multiple of 10 and m?
40
Let z = -11 + 16. Suppose -7*t = -2*t - z*n + 270, 2*n = 5*t + 267. Let s = t - -211/4. What is the common denominator of -65/12 and s?
12
Let s = 6865 - 274563/40. Let o = -424455/32 - -13262. Calculate the common denominator of o and s.
160
Suppose -39 = 2*c - 17. Let i = 5 - c. What is the smallest common multiple of 6 and i?
48
Let m = -1879/42 + 3116665/231. Let u = m + -13443. What is the common denominator of 65/8 and u?
88
Suppose -34*w = -40*w + 2316. Calculate the least common multiple of 20 and w.
3860
Let w(t) = 84*t**2 - 11*t - 13. Let d be w(-4). Calculate the smallest common multiple of (24/10 + -2)/(11/d) and 30.
150
Let n = 15113/5 - 3033. Let r(l) = 28*l - 1. Let o be r(5). Let t = 698/5 - o. What is the common denominator of n and t?
5
Suppose -12*o + 8*o + 3*j = -111, -5*j = -3*o + 75. What is the lowest common multiple of o and 6?
30
Let v(d) = 6*d**3 - 2*d**2 + 3*d - 1. Calculate the lowest common multiple of 9 and v(1).
18
Let p(h) = -2*h + 16. Let w be p(11). Let s(n) = 2*n**2 + n + 1. What is the smallest common multiple of s(-3) and 4/(-5)*165/w?
176
What is the common denominator of -37/2 and (-3)/2400*-154*2?
200
Suppose 0 = 5*r + 3*n + 228 + 3, 143 = -3*r - 4*n. Calculate the common denominator of -111/20 and (6/100)/(6/r).
20
Let d = 119/8 - -245/8. What is the common denominator of 1450/(-2415) - 1/(2 - 5) and d?
322
What is the common denominator of -6 + 3 + (-1930)/(-400) and -67/35?
280
Let n be (2/(-6))/(17/(-255)). Suppose n*k = 8*k + 39. What is the common denominator of 68/3 and k?
3
Suppose 0 = -677*w + 682*w - 1155. What is the lowest common multiple of w and 99?
693
Let k = 0 - -3. Let t = -2 + 4. Let p = 3 + t. What is the lowest common multiple of p and k?
15
Suppose t - 4 = -2*s + 6*t, -5*s - 52 = 3*t. Find the common denominator of (10/s)/(120/(-135)) and -111/20.
160
Let r = 57/433 - 46743/29444. What is the common denominator of r and 101/16?
272
Let c = 1408 + -29492/21. Find the common denominator of -37/93 and c.
651
Let c(j) = -4*j - 13. Let r be c(8). What is the common denominator of -43/14 and 381/r - 3/15?
42
Suppose -h + m = 2*h - 49164, -2*m - 65550 = -4*h. Let y = 33587/2 - h. Let i = -1571/4 + y. What is the common denominator of 20 and i?
4
Let i = -190/63 - -28/9. Let h = i + 5/21. Find the common denominator of h and -65/27.
27
Let q be (-16*1)/(165/(-125)) - -5. Let p = -11543715/13 - -7618752619/8580. Let y = q + p. Find the common denominator of y and 121/18.
180
Calculate the common denominator of 71/87 and 860/1204*(-26)/145.
609
Let p be 34*((-18)/(-4) - 4). Suppose -19*v + 16 = -p*v. Suppose f = 3*f - v. What is the lowest common multiple of 8 and f?
8
Let u be (78028/(-23460) - -3)*21. Let d = -18/391 - u. What is the common denominator of -56/11 and d?
55
Let t = -1045 - -1057. Suppose -3*b - 45 = -k, k - 3*b - 75 = -k. What is the smallest common multiple of k and t?
60
Let s = -3154661/241 + 13090. Calculate the common denominator of 47/6 and s.
1446
Find the common denominator of -59/3 and (420/150)/(-1 + (-13)/(-25)).
6
Suppose 4*k + 4*r = 1096, -2*k + r + 4 + 553 = 0. Find the common denominator of 1/15 and (-4)/(-18) - 6/432*k.
120
Let s(h) = -2*h**2 - 13*h + 7. Suppose -3*p - 6 = -3*f, 0 = 2*p - 4*p + 5*f + 5. What is the smallest common multiple of s(p) and 10?
110
Let k(y) = -y**3 + y**2 + 8. What is the smallest common multiple of k(0) and 44?
88
Let m(n) = 2*n**3 - 6*n + 4. Let r be m(4). Suppose i - v = 2*v + 8, 2*v = -5*i + r. What is the lowest common multiple of 10 and i?
20
Let j(o) = 4*o**2 - 13*o - 15. What is the lowest common multiple of j(7) and 10?
90
Suppose -3*i - 27 = -5*o, -4*i - 10 = -2*o - 2*i. Calculate the smallest common multiple of 213 and o.
426
Let h = -162 - -166. Suppose -h*f - 17 = -5*w - 0*f, 2 = f. Calculate the least common multiple of w and 11/((-1)/(-1)*1).
55
Suppose 4*j + 5*o = -0*j + 40, 3*j - 31 = -4*o. What is the common denominator of 53/4 and ((-77)/j)/(((-72)/15)/4)?
12
Let n(l) = l**3 + 8*l**2 + l + 12. Let a be n(-6). Let x = a + -77. What is the least common multiple of 2 and x?
2
Calculate the common denominator of -77/464 and ((-15)/20)/(72/1144).
1392
Let w = 22/19 + -764/627. Calculate the common denominator of -5/121 and w.
363
Calculate the least common multiple of 24 and -4*((2 - 15) + (0 - 2)).
120
Suppose -4*i = -5*i + 17. Let d = 11 - i. What is the least common multiple of (-3)/d - 76/(-8) and 28?
140
Let z be (-5 + 3)/(8/(-92)). Let q = z - 18. Calculate the common denominator of 25/14 and (q/50)/((-2)/(-505)).
28
What is the common denominator of 23/4 and (108/9300)/((-16)/(-260))?
620
Let l(r) = -r**3 - 17*r**2 - 11*r + 9. Let m be l(-16). Let h = 79 + m. What is the lowest common multiple of h and 10?
40
Let v = -20551/2664 + 362/37. What is the common denominator of v and 143/12?
72
Let b = -14 + 18. Suppose 3*h - z - z = 10, -3*h = 5*z + b. Suppose -4*n = -5*n + 2. Calculate the smallest common multiple of h and n.
2
Suppose -3*b + 100 = 4*g - 224, 2*g - 2*b - 176 = 0. What is the lowest common multiple of g and ((-14)/(-21))/(2/42)?
84
Suppose 4*w + 5*b = 12, 0 = 5*w - 3*b - 2*b + 30. What is the lowest common multiple of (9/9)/(w/(-4)) and 20?
20
Suppose -3*d + 4*d + 13 = -3*u, -3*d = u + 15. Calculate the common denominator of 43/24 and (-1 - 116/(-45))/(1/u).
120
Suppose -2*h - 3*o + 16 + 17 = 0, 4*o - 19 = -h. What is the lowest common multiple of 16 and h?
240
Suppose 2*i - 5*w + 4 = 0, 2*w - w = 2*i - 4. Find the common denominator of (-305)/(-30) - (-2)/i and 1/4.
12
Let d(m) = 2*m**2 - 13*m + 5. Let z be d(9). Suppose -2*k - 52 = -3*h, 2*h - 4*k - z = -h. Calculate the least common multiple of h and 12.
36
Suppose 0*o = 3*o - 6. Suppose o*g - 11 + 1 = 0. What is the common denominator of 17/18 and 567/(-198)*g/(-3)?
198
Suppose 804 = 5*n - 1601. Let q = 2945/6 - n. Find the common denominator of 31/24 and q.
24
Let f = 1261721/360 + -17528/5. What is the common denominator of f and 79/48?
144
Let l(d) = 11*d - 1. Let t be l(-2). Calculate the common denominator of (t/4)/((-49)/42) and (-4 - -2) + (-298)/(-40).
140
Suppose -18 = d + 9. Let w = d - -41. Calculate the least common multiple of w and 2.
14
Let o be ((-38)/10 + 3)*20. Find the common denominator of (321/15)/(-2 - 0) and (-102)/(-136) - 134/o.
40
Let y = 12055/198 + -586/11. What is the common denominator of 2 + (-86)/(-8)*2 and y?
18
Let w = -2/30215 - -755549/2628705. Calculate the common denominator of w and -38/3.
87
Let s(i) = -2*i + 5*i - i + 22 - 3*i. Calculate the smallest common multiple of (3 + 1)/((-8)/(-20)) and s(10).
60
Suppose -3*r + 2*r = -20. Suppose 0*x = -5*x + r. Suppose 0*q - x*q = -104. What is the least common multiple of q and 16?
208
Let t = -31 - -36. Calculate the least common multiple of 34 and ((8/t)/(-1) + 2)*55.
374
Let a be (-27)/(-2)*(-196)/609. Let q = -1287/116 - a. Calculate the common denominator of 35/58 and q.
116
Let f(a) = -13*a**3 - 5*a**2 - 15*a - 24. What is the least common multiple of 315 and f(-2)?
630
Let d(f) = f**3 - f**2 - 1. Let u(h) = -h**3 - 4*h**2 + 5*h. Let g(a) = 3*d(a) + u(a). What is the least common multiple of g(4) and 12?
132
Suppose 2*y - y - 6569 = 5*x, -4*y + 2624 = -2*x. Find the common denominator of (x/(-126))/((-6)/7) and -113/10.
30
Calculate the common denominator of 9/5 and (17/(-85))/((-114)/(-255)).
190
Let w be 2/4 - (-5)/(-10). Let j(c) = w*c**2 - 6*c + 9*c**2 - 5*c**2. What is the least common multiple of 2 and j(3)?
18
Let y = 87769/112 + -5451/7. What is the common denominator of -119/12 and y?
48
What is the least common multiple of 8 and ((10/2)/(-1) + 4)*-8?
8
Suppose 31 = 4*v - 5*x, 2*x - 7 - 3 = 0. Calculate the common denominator of (-59)/(-63) - (-4)/v - -3 and 41/6.
18
What is the least common multipl