r of -23/21 and 6894/6104 + (-3212)/(-154) + -22.
9156
Suppose v + 3*a + 30 = 0, 10*a + 150 = -5*v + 6*a. Find the common denominator of v and 27/88.
88
Let x = 867569/10 - 86759. Let d = 4034 + -1508713/374. Let i = 5892/187 - d. What is the common denominator of i and x?
10
Let j be 150/2 + (-186)/(-31). What is the common denominator of 160/j*(0 - (-6)/15) and 29/33?
891
Suppose 3*a - 2*x = 879, 13*x - 293 = -a + 8*x. Let v = 305 - a. Suppose -4*c - 18 = 2, 0 = q + 5*c + 21. Calculate the smallest common multiple of v and q.
12
Let a(f) = 446*f**2 + 326*f - 660. Calculate the smallest common multiple of a(2) and 27.
15984
Suppose 5*h - 54*y = -53*y + 61, -3*h + 2*y + 38 = 0. Let s(a) = 2*a + 16. Let n be s(-9). Calculate the smallest common multiple of h and 2 + (0 + n)*-3.
24
Let w(t) = t**3 + 42*t**2 - 4*t - 48. Let r be w(-42). Calculate the common denominator of -61/24 and 16/(-16) - (-476)/r.
120
Let b = 5744513/47298920 - -1/377385. Calculate the common denominator of -23/12 and b.
1128
Let y = 103019908/635 + -162236. What is the common denominator of y and 45/254?
1270
Suppose 4*g - 2*l = 18, -2*g + 5*l + 27 = -g. Suppose w + 2*o - 6 = -g*o, 0 = -4*o - 12. What is the common denominator of -74/33 and 105/w*16/(-10)?
33
Let t = -1/12823 + 436015/423159. Find the common denominator of t and (-34)/(-9) + -2 - 1160/(-870).
99
Let n = 21197 - 4218194/199. Let o = n + -7316/7761. What is the common denominator of -95/8 and o?
312
Let g(b) = b**3 - 6*b**2 - 14*b - 14. Let k = -54 - -62. Let h(a) = -a**2 + 9*a + 1. Calculate the smallest common multiple of g(k) and h(8).
18
Let s(n) = 41*n**3 + n**2. Suppose 0 = 4*c - 10*c + 6. What is the least common multiple of 14 and s(c)?
42
Suppose -2*w - 664 - 416 = 0. Calculate the common denominator of 3738/w - (-8 + 1) and -81/40.
360
Let v = 15010/11 - 2721/2. Calculate the common denominator of 3/848 and v.
9328
Let k = -49 + 44. Let m be k/((-300)/8)*99. Let c = m + 31/20. What is the common denominator of -41/9 and c?
36
Let u be 38/10 - 1/(-5). Let b(x) be the first derivative of x**4/4 - 5*x**3/3 + 4*x**2 - 4*x + 67. Calculate the smallest common multiple of b(u) and 24.
24
Let u = 34 - 30. Suppose u*d - 582 = 3*w, 0 = -w + 3*w - 4. Let v = d + -247/2. Calculate the common denominator of -31/11 and v.
22
Suppose 10*h + 6 - 26 = 0. What is the common denominator of (107/(-132))/(h/(-12)*3) and -59/66?
66
Let h = 12 - 27. What is the common denominator of 30349/16182 + 4/58 and 28/h - (-1)/(-2)?
90
Let w(o) = o**3 - 6*o**2 - 5*o - 10. Let d be w(7). Calculate the common denominator of (-32)/(-80)*950/72 and 428/168 - d/(-6).
126
Calculate the least common multiple of ((900/(-24))/(-15)*-9)/(3/(-4)) and 1625.
9750
Let d(k) = k**2 + 32*k - 52. Let h be (-1300)/39 - 2/(-3)*-1. Calculate the smallest common multiple of d(h) and 106.
848
Let r = 2/19681 - 2105911/432982. Find the common denominator of r and -101/236.
2596
Suppose 7*q - 5*q = 16. Suppose -15 = -q*x + 177. What is the smallest common multiple of x and 33?
264
Suppose -525*a + 527*a + 2*s = 6, 0 = 5*s + 45. Let o = 66 + -10. Calculate the least common multiple of a and o.
168
Suppose -70*o + 210 = -27*o - 28*o. Calculate the lowest common multiple of 1700 and o.
11900
Suppose 4*q - 4*w = 56, -5*q - 3*w + 77 + 33 = 0. Suppose -330 = -q*p - 102. What is the least common multiple of p and (9*2)/(-3 - -4)?
36
Suppose 341*x - 345*x - l = -1184, -5*x + 4*l = -1459. What is the lowest common multiple of x and 354?
1770
Suppose -4*s + 3*q + 282 = 0, 2*s = -s + 4*q + 208. What is the lowest common multiple of (-616)/(-34) + 10*(-11)/935 and s?
72
Let k be (7 - 12) + -3 - 340. What is the common denominator of -65/16 and (3/k)/(1/194)?
464
Calculate the common denominator of -57*(8 + (-76239)/(-19062)*-2) and 61/2824.
2824
Let z be -1 + 31*6/132. Let m = 304/77 + z. Calculate the common denominator of m and -32.
14
What is the common denominator of 31790/748*(399/195 - 2) and -37/208?
208
Find the common denominator of -7/2340 and (-88)/704 - 1356/(-2912).
16380
Let h(x) = -x**3 + 23*x**2 + 23*x - 21. Let f be h(24). Calculate the common denominator of (-5)/55*(-3)/(f/87) and 43/15.
165
Let m(y) be the first derivative of -13*y**2/2 - 6*y - 3. Let k = -502 - -500. Calculate the least common multiple of m(k) and 12.
60
Let p(o) = -o**3 - 2*o**2 + 3*o - 20. Let b be p(-4). Calculate the least common multiple of b + 24/6 + (165 - -1) and 11.
1870
Suppose 0 = -81*c + 74*c + 28. Suppose -5*p + 5*h + 140 = 0, p - c*h = -5*h + 20. Calculate the smallest common multiple of p and 165.
1320
Let b be ((-9)/(-15))/(4/20). Let j = 8 + b. Suppose -4*x = -3*x - j. What is the least common multiple of x and 5?
55
Let u be 6 - 0 - (4 - 2). Suppose 0 = u*v + 7 - 23. Calculate the smallest common multiple of v and (-10)/(-8)*((-3550)/(-125) - 26).
12
Let x(d) = 5*d - 48. Let b be x(10). Suppose -5*i + b*w + 37 = 0, -7*i + 38 = -2*i - 3*w. Calculate the lowest common multiple of i and 152.
1064
Let m be 1/(-6)*(-427318248518)/(-3717). Let q = -19160534 - m. Let b = -2/177 + q. Find the common denominator of 34/21 and b.
189
Suppose 5*n + 5*f = 6*f + 3, 5*n - 3*f = 9. Suppose -4*r = n, -10*g + 12 = -7*g - 3*r. What is the lowest common multiple of 96 and g?
96
Suppose 2*h - 5 = -3. Calculate the common denominator of (h + (-92)/(-24))/((-32)/24) and 1/((-2)/10) - -1.
8
Let l = 4/12797 - -1138741/614256. What is the common denominator of 113/1056 and l?
1056
Let c = 964 + -5731/6. Suppose -2*w + 11183 + 11316 = 3*b, -56195 = -5*w + 3*b. Let t = w + -112301/10. Calculate the common denominator of t and c.
30
Suppose 2*p + 4*r - 16 = 0, 28 = 5*p - 0*p - 2*r. What is the lowest common multiple of p and 12 - 6*27/18?
6
Suppose -c = 2, -5*c + 10*c = -2*m + 96. Suppose -21*b - 320 = -m*b. What is the smallest common multiple of 102 and b?
510
Let p = -1925 - -63551/33. What is the common denominator of -40/213 and p?
2343
Let c = -91081/192768 - -94/753. Find the common denominator of c and -69/704.
2816
Let w = -167729/176 - -953. Calculate the common denominator of 155/66 and w.
528
Suppose -17*r + 336 = -11*r. Calculate the lowest common multiple of r and 0 - -8 - (-10)/5.
280
Let s = 73 + -39. Suppose u - s = -12. Find the common denominator of 32/9 and (u + 0)/((-296)/(-10)).
666
Let f(t) = -t**2 - 8*t + 13. Let v be f(-6). Let z = -4 + v. Calculate the least common multiple of z and 18.
126
Let t(r) = 7*r**2 + 108*r + 49. What is the smallest common multiple of t(-15) and 1146?
2292
Suppose c - 3 = 2*c, 11 = 2*z + c. Let n = 9 - z. Calculate the least common multiple of (9 + 3)*3/n and 6.
18
Let p = -5579 - -78203/14. Calculate the common denominator of p and 6/15 + 5 + 77/(-5).
14
Calculate the common denominator of (-920)/(-462) - 784/336 and -41/33.
231
Let t = -40 + 34. Let u be 16/t*(-33)/2. Calculate the common denominator of 15/8 and (40 + 1)*2/u.
88
Let z be (-56410)/(-24) + (-1)/3. Suppose -11*t - 2329 = -12*t + 5*p, 5*p - 9441 = -4*t. Let w = z - t. What is the common denominator of 35/8 and w?
24
Let n = 336 + -324. Find the common denominator of 12/(-8)*146/n and 67/154.
308
Let l(d) = 113*d**2 - 37*d - 138 - 63*d**2 - 49*d**2. Calculate the lowest common multiple of l(41) and 6.
78
Suppose -3*a + 2112 = -5*u + 10*u, -2*a - 832 = -2*u. Suppose 0 = -102*h + 122*h - u. Calculate the lowest common multiple of 75 and h.
525
Let g = -10191 - -10313. What is the least common multiple of 306 and g?
18666
Let k(h) = h**3 - 20*h**2 - 86*h + 2221. Suppose 113 = 3*d - 37. Calculate the least common multiple of k(18) and d.
50
Calculate the common denominator of (11/22)/((-2)/9)*(-31)/228 and -2/9.
2736
Suppose -9*n = 12*n - 13566. Calculate the lowest common multiple of 342 and n.
5814
Let k be ((-81)/(-12 + 3))/((-9)/6). What is the least common multiple of 2835/20 - (k/(-8) + -1) and 7?
994
Let s = 5 - 12. Let r = 21 + s. Calculate the least common multiple of (-12)/40*-4*140/12 and r.
14
Let b(z) = 4*z**3 - 2*z**2 + z. Let v be b(1). Suppose v*m - 3 = -4*j, j + 4 + 2 = -3*m. Let h = 506 + -495. Calculate the smallest common multiple of j and h.
33
Suppose -25*p = -37*p + 240. Let g = -40 + 67. Let r = 47 - g. Calculate the lowest common multiple of r and p.