 the common denominator of q and 31/177.
885
Let p = -1575 + 1605. What is the lowest common multiple of p and 435?
870
Suppose 8*t + 39718 = -381202. Let q = -5050901/96 - t. Find the common denominator of 41/96 and q.
96
Let j(k) = 39*k - 18. Let l be j(6). Suppose 8*p - l = -0*p. Suppose -7*d = -10*d + p. What is the least common multiple of d and 41?
369
Let z = -26 - -82. Let b(a) = 17708*a - 88534. What is the smallest common multiple of b(5) and z?
168
Suppose -83 = -k + 208. Let b = k - 255. What is the least common multiple of b and 66?
396
Suppose 99 = 8*i - 5*i. Find the common denominator of 53/i*(-2)/6 and -65/88.
792
Let i = -87/13 + 723/143. Let d = i + 797/198. Find the common denominator of 73/30 and d.
90
Suppose -2*m = s - 2*s + 87, 3*s = 3*m + 255. Suppose -66*y + 65*y + 20 = 5*o, -4*o - 3*y = -5. Calculate the least common multiple of (2 - 1) + (s - o) and 3.
237
Let c = -77 - 224. Let m = c + 343. What is the lowest common multiple of m and 35?
210
Let h be (10071/(-270))/((-12)/(-2110)). Let w = h - -6563. Calculate the common denominator of 83/40 and w.
120
Let l(s) = -s**3 + 11*s**2 - 8*s - 20. Let q be l(9). Suppose 0*c + q = 10*c. Suppose c = -6*f + 109. What is the least common multiple of f and 11?
187
Suppose 4 = c - 12*o + 8*o, 4*o = 2*c. Calculate the lowest common multiple of (-221)/(-65) - c/(-10) and 79.
237
Suppose -15947 = -4*g + 5*u, 105*u - 28 = 109*u. What is the lowest common multiple of 3094 and g?
27846
Let z(d) = d**3 + 4*d**2 - 2*d + 2. Let g be z(-4). Suppose 84 = -4*o + g*o. Calculate the least common multiple of o and 60.
420
Let j(v) = 215*v**2 - 139*v + 21. Calculate the smallest common multiple of 9130 and j(4).
63910
Suppose -220*p = -218*p - 2*j - 2868, -5734 = -4*p + 3*j. What is the lowest common multiple of 96 and p?
17184
Suppose -155 - 2484 = -7*q. Find the common denominator of (q/(-234))/((-3)/(-2)) and 29/21.
189
Calculate the common denominator of 83/876 and (-327)/(-18) - (-200)/60*6/4.
876
Let y = -29946799/447 + 66995. Find the common denominator of 51/7 and y.
3129
Suppose h = -5*s - 4*h - 5, -3*h = -9. Calculate the common denominator of 37/20 and 21/3472*s - (-2)/(-4).
620
Let c = 5 - -3. Let j be (2/16)/(-1) - (-57)/c. Suppose -2*m + 3*x + 4 = -j, 3*m - 16 = 4*x. What is the smallest common multiple of 16 and m?
16
Let y = -1618589/87 - -55903/3. Let g = 22031/696 - y. What is the common denominator of 23/30 and g?
120
Let b = 49595051/280 + -177125. What is the common denominator of b and -71/84?
840
Let j(z) = z**3 + 14*z**2 - 67*z - 17. What is the lowest common multiple of j(-13) and 6?
2046
Suppose -4*g + 33 = -11. Let f(o) = -3*o**2 + 10*o - 14. Let s be f(8). Let b = -117 - s. What is the least common multiple of g and b?
99
Let d = 622 + 2938. What is the least common multiple of 16 and d?
7120
Suppose 0*r = -14*r + 42. Suppose -r*x = -4*y + 148, 4*y - 4*x = 141 + 11. What is the smallest common multiple of 2 and y?
34
Let x = 2909 + -2906. Let c(u) be the third derivative of u**6/40 - u**5/30 + 7*u**4/24 - 5*u**3/3 + u**2. What is the least common multiple of 10 and c(x)?
370
Let r be 0 + 4/10 - 128/20. Let n(w) = w**2 - w. Let i(z) = z**3 - z**2 - 7*z + 14. Let f(m) = r*n(m) + i(m). Calculate the least common multiple of 8 and f(7).
56
Suppose 4*f = 4*l - 44, 3*l + 2 - 53 = -3*f. Let r(i) = 27*i**2 + i + 2. What is the least common multiple of l and r(-2)?
756
Suppose 75*m + 6*m = 1296. Let p(y) be the first derivative of -15*y**2/2 + 2*y - 1. Calculate the least common multiple of p(-2) and m.
32
Suppose -360 = 6*r - 16*r. Suppose -1 - 31 = 2*s. Let v = 28 + s. What is the smallest common multiple of v and r?
36
Let y be (-134082)/12*3*1/60. Let g = 5359/8 + y. Let z = 504/5 - g. What is the common denominator of z and -117/10?
10
Suppose -1028 = n + p, 11*n - 13*n = 3*p + 2052. Find the common denominator of -31/27 and (n/630)/(-2)*5.
189
Let r = -2235/781 - -16/71. Let h = -146 + 148. Find the common denominator of -7 + 66/42 - h/(-1) and r.
77
Suppose -5*d + 2313 = u, 20*u = 21*u + 3*d - 2309. Calculate the lowest common multiple of u and 141.
6909
Let r(v) = -2*v + 27. Let i(f) = 2*f**2 + 6*f - 24. Let a be i(-6). What is the lowest common multiple of r(a) and 34?
102
Let v be -1*(0 + 5) - (-9219)/21. Let q = 437 - v. Calculate the lowest common multiple of 87 and q.
87
Let s be (-2 - -5) + 9 + (-2 - 1). Let g be s - ((-30)/8 - (-15)/20). Calculate the common denominator of -31/18 and (1/9)/(g/846).
18
Find the common denominator of 367/564 - 175/(-140)*(-3)/15 and 79/15.
1410
Let t = 10/10751 - -1128535/344032. Let b = t - -847/288. What is the common denominator of -36/35 and b?
315
Let x = -1/16769 - -821699/301842. Let o = 656326205/34221 + -149535/1037. Let v = 19033 - o. What is the common denominator of x and v?
198
Let d be (-14606*2/560 - -2) + -3. Let m = d - -1041/20. What is the common denominator of m and 77/8?
280
Let u(b) = -b**2 + 376*b + 2695. Let d = 8 + -4. What is the lowest common multiple of (-60)/d*(-2)/3 and u(-7)?
70
Let o = 68088 - 23149941/340. What is the common denominator of o and -46/221?
4420
Suppose 0 = 3*d - 13 + 1. Suppose 2*i + d = 18. Suppose -i*v + 72 = -5*v. What is the smallest common multiple of v and 4?
36
Let g be 5872751/772618 + -3 + -3. Let z = g - -14/5017. Let k = z - -15/22. Calculate the common denominator of k and -17/137.
959
Suppose 2*p - 136 = -4*i, 3*i + 160 = 7*i - 4*p. Let a = 1529 + -1496. Let x = i - a. Calculate the least common multiple of x and 9.
9
Let l = -172209/40 + 4306. What is the common denominator of -86/2295 and l?
18360
Let g(l) = -2*l**3 + 37*l**2 - 39*l + 202. Calculate the least common multiple of 780 and g(16).
8580
Suppose -33 = -4*b + 5*x, 0 = -b - x - 3*x + 3. Let v(h) = -h**3 + 9*h**2 - 9*h - 29. Calculate the lowest common multiple of 4 and v(b).
12
Let l = -9/12535 - -716097/2231230. What is the common denominator of l and 1310/(-136) - (8883/799 + -11)?
356
Suppose -5*l = -134*r + 137*r - 35, l - 5*r + 49 = 0. Suppose 4*j - 5*j + 1 = 0. Let n = j - 0. Calculate the least common multiple of l and n.
1
Suppose 0 = -f - 155 + 1527. Calculate the lowest common multiple of 4 and f.
1372
Let a be ((-21)/(-4))/(54/(-1872)). Let t = a - -326. What is the least common multiple of t and 20?
720
Let f(l) = -2*l**3 + 16*l**2 + l - 22. Calculate the smallest common multiple of f(-4) and 1969.
3938
What is the common denominator of 77/1360 and 16/(-2) - -1 - ((-2068114)/68816 + 23)?
14960
Let d = -865887/28 + 30928. Find the common denominator of 26/49 and d.
196
Let z(t) = -t**3 + 10*t**2 - 10*t + 23. Let n be z(9). Let v(d) = 5*d**2 - 3*d - 21 - 12*d + 3*d - 4*d**2. What is the lowest common multiple of v(n) and 8?
56
Let m = 19541/15 + -1297. Let f = 417/10 + -9983/240. Find the common denominator of f and m.
240
Let r = 11/1858 - 84715/29728. Calculate the common denominator of 4/(-6) + (-417)/(-45) and r.
160
Suppose -271*q - 12384 = -262*q. Let k = q + 4183/3. What is the common denominator of k and -64/99?
99
Let u = -557587/164 + 3400. Let s = u - 854/41. Calculate the common denominator of s and (-4)/6*412/32.
12
Let s(g) = -2*g**2 + 308*g - 2835. Let t = -17 + 57. Calculate the lowest common multiple of t and s(10).
360
Let s(f) = 3*f + 44. Let m be s(-16). What is the common denominator of -39/16 and m/(-66)*(-4776)/(-64) + -3?
176
Suppose 241*x + 480 = 225*x. What is the common denominator of ((-2)/(32/x))/((-9)/76) and 113/12?
12
Let a = -219 + 243. Calculate the least common multiple of 208 and a/(9*(-3)/(-18)).
208
Let d(a) = 1491*a + 10. Let v be d(9). Let h = v - 846047/63. What is the common denominator of 29/14 and h?
126
Suppose 10*l - 462 = 4*l. Suppose -3*o - l = 4*o. What is the least common multiple of (o/(-33))/(2/180) and 33?
330
Suppose 75 = -l + 2565. Let y = l - 112073/45. Find the common denominator of y and 19/50.
450
Let p = 1271 + -679. Calculate the smallest common multiple of 740 and p.
2960
Let o(q) = -133*q - 15. Let n be o(-4). Let x = -215 + n. Find the common denominator of ((-11)/330)/(2/x) and 47/5.
30
Let h(k) = -187 - 2*k**2 + 7469*k + k**2 - 54 - 7434*k. Calculate the smallest common multiple of 29 and h(25).
261
Let a = -32421/10 + 3241. What