 3*v. Let n be (1 - 0)/((-3)/12). Calculate the common denominator of ((-6)/n)/(b/(-1216)) and -137/30.
30
Suppose 8*c + 37 - 125 = 0. What is the smallest common multiple of 23 and c?
253
Let u(m) = -m**3 + 11*m**2 - 17*m + 15. Let c be u(10). Let g = c + 50. What is the lowest common multiple of 5 and -1 - (-2*2 + (-4 - g))?
10
Let o(w) be the second derivative of 9*w**3 + w**2/2 - 80*w. What is the smallest common multiple of o(0) and 111?
111
Let j = 3907 + -3903. What is the lowest common multiple of j and (28/5)/(2/10)?
28
Let t be 9/(-15) - 3783/(-11880). Let j = -6/8245 - 823906/816255. Let k = j + t. Calculate the common denominator of -41/39 and k.
312
Let y = -1/8210 - -8375/6568. What is the common denominator of y and 79/220?
440
Suppose -i = -2*s + 6*s - 11, -4*i + 77 = 5*s. Suppose 19*n - 56 = i*n. What is the common denominator of n and -17/60?
60
Suppose -i = -5*i + s + 460, -2*i = 3*s - 216. Suppose -5*b + 20 = 0, 0 = -5*f - 3*b + 73 + i. Let m = f - 15. What is the smallest common multiple of 36 and m?
180
Let i = -162/71 - -15941/3408. Calculate the common denominator of i and 91/2202.
17616
Let l = 5735 - 5729. Calculate the smallest common multiple of l and 16.
48
Let s(f) = -3*f**3 + 4*f + 3. Let r be s(-2). Let g = 22 - r. What is the lowest common multiple of g and 5/(60/(-18))*-2?
3
Calculate the least common multiple of (-97 - 12 - 15)*-1 and 76.
2356
Let l be 124/3*6/(-2). Calculate the least common multiple of (56/(-98))/(24/(-1092)) and l/(-7) - 4/(-14).
234
Suppose -2*b + 15405 = -r, -2*b - 17*r + 11*r = -15426. What is the lowest common multiple of 40 and b?
38520
Calculate the smallest common multiple of 270 and 3 - (-3)/(17 + -8)*57.
2970
Let o = 7984521211/4110612 + 4/342551. Let q = -1941 + o. Find the common denominator of q and 3*1*46/(-27).
36
What is the common denominator of -7/1168 and (-245)/(-13140)*-8 + (-2)/(-9)?
3504
Let s = 2225 - 2218. What is the smallest common multiple of 2 + 19/1 - -3 and s?
168
Suppose d + 5*b - 9*b = 16, -96 = -3*d - 4*b. Calculate the lowest common multiple of 8/(-140)*-5 + 440/d and 4.
16
Let g = 135929/59878 + -2/2303. Find the common denominator of 119/234 and g.
234
Let m = -84 + 127. Let p = m + -34. Let f(s) = s**3 + s**2 - 2*s + 1. Calculate the least common multiple of f(2) and p.
9
Find the common denominator of 67/405 and (-3662)/(-23100) + (-14)/294.
44550
Let q(p) = 2*p**3 - 3*p**2 - p + 1. Let i be q(2). Let k be 0 + i + (-113)/(-3). Let f = k - 376/9. Calculate the common denominator of f and 95/6.
18
Let f be -5 - 482 - (-2 - -10). Find the common denominator of (638/f)/(1/(-3)) and -71/50.
150
Find the common denominator of 53/440 and (8/10)/2 + 25399/(-1815) + 14.
1320
Suppose 5*h + 517 = -2*s, 5*h = 28*s - 33*s - 505. Find the common denominator of ((-10)/h*-1)/2*-58 and -139/6.
42
Let d(k) = 403*k - 123. Let w be d(-3). What is the common denominator of w/(-320) - 5 - -2 and -107/18?
720
Suppose 2*l + 5*r - 49 = 0, 2*l + r - 2 - 43 = 0. What is the least common multiple of 108 and l?
1188
Let z = 20097/10 - 2006. Suppose 0 = 473*c - 481*c + 31344. Let q = c - 86211/22. Find the common denominator of z and q.
110
Let n = -6734683/87 + 77409. Let c = n + 4754/957. Find the common denominator of 552/32*(-4)/(-6) and c.
22
What is the common denominator of -55/336 and (-67)/(-134) - (-86)/42?
336
Let s = -5367252305/4077 - -1316471. Calculate the common denominator of s and 25/21.
28539
Let z(s) = -6*s + 3. Suppose 4*y + 12 = -5*j, 7*y - 2*y + 15 = 5*j. What is the least common multiple of z(-3) and (y/5)/(30/(-450))?
63
Let f = 10060 - 6951462/691. Calculate the common denominator of 23/10 and f.
6910
Let b be 627420/1188 - 2/(-22). Let g = b + -1049/2. Calculate the common denominator of g and (-9)/4 - (-2)/6.
36
Suppose 34*o = 27*o - 164619. Let z = 705361/30 + o. Calculate the common denominator of 28/25 and z.
150
Let l(a) = -15*a + 5. Let g be l(1). Let b be -2 - 14/(-5) - 2/g. What is the least common multiple of (-1*b/4)/((-4)/176) and 5?
55
Let v be (17/34)/((-4413)/(-2)). Let s = v + 189725/150042. Calculate the common denominator of 1 - 5 - (0 + (-575)/20) and s.
68
Let f = -5042961/170 + 29664. What is the common denominator of f and 39/40?
680
Let y = -649 - -1255/2. What is the common denominator of 1/(-18)*-2*((-10857)/440)/47 and y?
120
Suppose x = 2*z - 36, 0 = 60*z - 82*z - 5*x + 524. Let w(g) = -g**2 - 4*g - 3. Let a be w(-3). Calculate the smallest common multiple of z and (a + 1 + 21)/1.
22
Let a = -236797/649632 - 1/13534. What is the common denominator of a and 61/176?
1056
What is the lowest common multiple of 272 and 3 + -2 + 3 - 6/(-1)?
1360
Let h be ((-1470)/1652)/15*12/(-987). Let a = -2/4547031211 - -466475384938555/75653505288618. Let w = h + a. Calculate the common denominator of w and 31/9.
18
Find the common denominator of 109/378 and (-5)/540*-910 - (7 - -3).
378
Let l(v) = 175*v**2 - 18*v - 42. Let i be l(-9). Let p = 143073/10 - i. Calculate the common denominator of 75/344 and p.
1720
Let z = 3409149 + -11045642927/3240. What is the common denominator of -61/2835 and z?
22680
Let v be (-17845340)/(-3426984) + ((-2)/(-11) - 0). Let u = -1/4327 + v. Calculate the common denominator of u and 1/6.
18
Let a = -90 + 93. What is the smallest common multiple of 84 and (a*(-77)/(-99))/(2/18)?
84
Suppose -106*g - 160482 = -66*g - 61*g. Calculate the lowest common multiple of 14 and g.
53494
Suppose -2*q + 1775 = -g, 1775 = 33*g - 34*g + q. Let c = 21245/12 + g. Calculate the common denominator of -43/60 and c.
60
Let u(o) = 45 + o - 3*o**2 + 2*o**2 + 0*o**2. Let r be u(-6). What is the common denominator of 77/(-8) + (1 - r) and 50/7?
56
What is the common denominator of (-120)/16 - (2 + (-112)/63) and -16/8133?
48798
Let r = 4630 - 4462. What is the smallest common multiple of 6 and r?
168
Let g = 2163 - 13111/6. Let t be 3 + ((-10059)/1580 - 0). Let f = t - -104/79. Calculate the common denominator of f and g.
60
Suppose -3*i = -7*i - 4, -18 = -4*f + 2*i. Find the common denominator of 5/f*1192/60 and -2*(-338)/(-72) - -8.
18
Calculate the common denominator of 24/18 - (-2173)/123 and (-18)/30*10/(-1154).
577
Let g(w) = 5*w**2 - 207*w - 451. Calculate the least common multiple of 135 and g(47).
23355
Let r be (1 + 0)/(2/10). Suppose r*k + 2*h - 25 = 0, -11 - 4 = -3*k + 2*h. Calculate the lowest common multiple of 196/(-56) + 5/(20/22) and k.
10
Suppose -36 = 79*i - 85*i. What is the least common multiple of i*(-3 + (-40)/(-15)) + 98 and 9?
288
Let d be (-1442)/(-294) - 4/(-42). Find the common denominator of 65/21 and (-847)/(-330) - (2 - d).
210
What is the least common multiple of 30 and (-1)/((-2)/3*117/14118)?
5430
Let m = -1735/41 - 1666541/861. Let j = m + 1979. Calculate the common denominator of j and 127/42.
42
Let f = -8 - -24. Let z = -65535 + 65557. What is the least common multiple of z and f?
176
Let v = 261 - 257. Let t be (3 - 2)/(1/22). Suppose -3*w + 4*c = -2*w + v, 3*w - t = -5*c. What is the smallest common multiple of 20 and w?
20
What is the common denominator of -85/6112 and 9593/(-4240) + (-7)/(-35)?
6112
Suppose c + 0*c = 5. Let w be (6 - 0)*(25/2 - 12). Suppose w*i - 4*l - 13 = 0, l = -3 + 2. What is the lowest common multiple of c and i?
15
Suppose -2*o = -4*r + 16, 0*r + 8 = 4*r - 4*o. What is the common denominator of 65/8 and (30/560)/(r/92)?
56
Suppose -u - 65 = 5*k, -2*k - 3*k = 2*u + 110. Suppose 2*s - 7 - 37 = 0. What is the lowest common multiple of (72/u)/((-6)/75 + 0) and s?
220
What is the least common multiple of 1832 and ((-2)/(-4) - (-10)/(-4)) + 1907 + -989?
1832
Let r = -43140476951/510 + 84589207. Let w = r + -2/255. Find the common denominator of ((-194)/(-24) - 2) + 3 and w.
12
Let x = 3059/6 + -514. Let d = 70/3 - x. Calculate the common denominator of 219/(-81)*-3*(6 + -5) and d.
18
Let q(s) be the first derivative of s**3 + 10*s + 2. Let l be q(0). Suppose 0 = 8*t - l*t + 8. Calculate the least common multiple of 14 and t.
28
Let t(a) = a**2 - 17*a - 9. Let r be t(12). Let b = 168 + r. Let h = b + -81. Calculate the lowest common multiple of h and 16.
144
Let b = -5 - -8. Suppose -3*j + 9*x - 4 = -10, -2*j - 3*x + 13 = 0. Suppose 2*v = a - b + 38, j*a - 5 = -2*v. What is the 