e x(-8). What is the least common multiple of 3/((-12)/m) - -23 and 16?
112
Let g(x) = 5*x**3 + x**2 - 3*x + 1. Suppose -3*y + 3*y = 7*y. What is the lowest common multiple of g(1) and ((-15)/(-10))/((-2)/(-4)) - y?
12
Let u be 996432/(-308)*5/(-10). Let o = u - 1617. Find the common denominator of 17/21 and o.
231
Let h be ((-36)/(-21))/((-108)/(-504)). What is the lowest common multiple of 11*(2/h - 77/(-44)) and 10?
110
Let d = 458 + -227. Suppose -d*b + 229*b = -54. What is the least common multiple of b and 48?
432
Calculate the lowest common multiple of 4/(-10) + (-66)/(-15) and -41 + 17 + 310/10.
28
Let n be -1 - (90 + -1*2/2). Let x be (-36)/(-90) - 1184/n. Let j = 101/18 + x. Calculate the common denominator of j and 107/10.
30
Calculate the common denominator of 229/(-616) + (-573)/(-2674) and 113/440.
3080
Suppose 3*i = 6, -4*i - 12 = 5*j - 0*i. Calculate the common denominator of 79/12 and (7436/351 + -10)*(-3)/j.
36
Suppose -2*g - 5*t = -40, g + 17*t = 18*t + 13. Let l(n) = n**2 - 4*n + 9. What is the lowest common multiple of g and l(9)?
270
Suppose -4*q - 37 = -5*w, 0 = -5*q - 5*w - 39 + 4. Suppose -3*p - 175 + 28 = 4*n, -4*n + 4*p = 140. Calculate the lowest common multiple of q/n - (-70)/9 and 2.
8
Let w = -2520 - -10149/4. What is the common denominator of 10/1763 and w?
7052
What is the common denominator of 53/98 and 65/28 - ((-68)/(-16) + -4)?
98
Let y = 9987 - 9978. What is the lowest common multiple of y and 2088?
2088
Let k(a) = -14*a**2 - 10*a**2 + 31*a**2 - a. Let q be k(-1). Find the common denominator of 12/q*381/(-27) and -37/26.
78
Let i(b) = b - 3. Let l be 6/27 - 2608/72. Let q = 45 + l. Calculate the lowest common multiple of i(q) and 7.
42
Let t be (-4)/22 + 1*(-24)/(-11). Let d be (9505/180)/((t + -3)/(-1)). Let y = d + -365/9. Find the common denominator of 8/7 and y.
28
Suppose -51 - 61 = -4*x. What is the least common multiple of x and (-15 + -1)*1*(-5873)/6712?
28
Let g = 8271/5 + -1645. Find the common denominator of (-155)/5 - 29729/(-822) and g.
30
Let g(y) = y**2 - 6*y - 22. Let l(q) = q**2 - 15*q + 12. Let p be l(10). Let i = p + 48. What is the smallest common multiple of 9 and g(i)?
18
Let h = 33365 + -1301233/39. Find the common denominator of h and ((-447)/27)/((-8)/(-6)).
156
Let d(x) = -x**3 - 33*x**2 - 244*x - 28. What is the smallest common multiple of 802 and d(-22)?
6416
Let h be 24/(-6) - 283650/(-70912). Let b = 2836447/1170048 + h. Find the common denominator of -6 - (6 + 56/(-6)) and b.
33
Let o = -13524 - -13531. Let c(t) = t**2 + t - 4. What is the lowest common multiple of o and c(-3)?
14
Suppose 0 = -62*u + 14283 + 12501. Calculate the least common multiple of u and 4.
432
Suppose -2*i - 5*y = 27, -y + 25 = 4*i + 16. Suppose 0 = -4*w + 11 + 13. Suppose w*u - 2*u = 72. What is the smallest common multiple of i and u?
36
Suppose 4 = 2*c + 2*k, -3*c = 3*k + 2*k. Suppose 0 = -3*o - 9 + 24, 0 = c*g + 2*o - 2670. Calculate the lowest common multiple of g and 20.
2660
Suppose 5*n - 2*w - 3343 = 0, n = -4*w + 321 + 352. What is the least common multiple of 2007 and n?
2007
Let z = 12 + -3. What is the lowest common multiple of 11 - (-16)/28*-7 and z?
63
Let t(c) = -2*c**3 + 19*c**2 - 39*c - 12. What is the lowest common multiple of t(6) and 312?
312
Let v be (-4 - -4)*(-3)/6. Suppose 0 = t + 7*g - 2*g - 14, v = -3*t - g + 14. Calculate the smallest common multiple of t and 9.
36
What is the common denominator of 1208/96 + 0 + -2 and (465/40)/3 - 0?
24
Suppose -4*a + 26686 = -k - 4460, 0 = -5*a + k + 38932. Let w = a + -77757/10. Calculate the common denominator of w and 17/145.
290
Let q = 5304 + -5248. What is the least common multiple of q and 14?
56
Suppose -c + 190 = -4*f + 32, 0 = -4*f - 5*c - 146. Calculate the common denominator of (f/(-18))/((-20)/100) and 67/38.
114
Let v(x) = 2*x**2 + 45*x - 508. Calculate the lowest common multiple of 140 and v(32).
20860
Suppose -2*q = -5*q, -3*f + 78 = -4*q. Let d = 28 + f. Let m = d - 36. What is the smallest common multiple of m and 14?
126
Let o = 2323/5 - 83783/180. Let a = 6639/10 - 358921/540. Find the common denominator of o and a.
108
Let f(s) = s - 7. Let h be f(5). Let y be h/(-4) - 42/12. Calculate the least common multiple of 6 and ((-38)/10 - -2)/(y/10).
6
Suppose 235*p = 439*p - 10200. Calculate the smallest common multiple of p and 50.
50
Let s(z) = z**3 + 56*z**2 - 29*z + 1383. Calculate the least common multiple of 8 and s(-56).
24056
Suppose 24*q + 34040 = 19*q. Let z = q - -68171/10. Let v = 1325/36 + -2033/54. Find the common denominator of z and v.
540
Suppose q = 7 + 4. Let i = -10411 - -10417. What is the least common multiple of i and q?
66
Let z = -2497 + 49871/20. Calculate the common denominator of z and -3/3820.
3820
Let g(q) = q - 11. Let b(v) = -2*v**2 + 20*v - 3. Let o be b(9). What is the least common multiple of g(o) and 148/5 + 2/5?
60
Let j(x) = x**2 - 17*x + 63. Let k be (-1)/11 - 900/(-220). Suppose 4*o = 2*d - 24, -d + 18 = -0*d - 4*o. Calculate the lowest common multiple of j(k) and d.
66
Find the common denominator of (-3)/((-36)/10) - (-304)/(-387) and 57/860.
7740
Let t = -19824461/3 + 278237389/42. Let m = t + -16539. Calculate the common denominator of m and 115/12.
84
Let h be ((-12)/9)/((-40)/12270). Find the common denominator of h/140 - (-6 - (-234)/42) and 43/30.
60
Let o be ((-151774)/35)/(128/380). Let f = 12879 + o. Let t = 8195/8 + -1016. Find the common denominator of f and t.
16
Let t(w) = -2573*w + 24. Let n be t(6). Let i = n + 24980. Let v = -114923/12 + i. What is the common denominator of 71/22 and v?
132
What is the smallest common multiple of (-119637)/(-14) + (-5)/(19 + -9) and 35?
59815
Let k(f) = -3*f + 17. Let m be k(8). Calculate the lowest common multiple of 51 and 6/(1*m/(-7)).
102
Let d = -7520777777/6892 + 1091233. Find the common denominator of d and 1/6.
20676
Suppose -5*g = -4*y + 77240, -2*g + 6*g = -2*y + 38594. Let j = -926711/48 + y. Find the common denominator of j and -11/40.
240
Find the common denominator of 119/3180 and (501/(-42084))/(318/(-7)).
19080
Let w = -3911/1656 + 54/23. Calculate the common denominator of w and 5/126.
504
Let u(r) = -1633*r - 37463. Let b = -9 + 39. What is the least common multiple of u(-23) and b?
480
Suppose -19*l + 20*l = 4. Suppose -l*x - 28 = 2*p, 0 = p + x + 3*x + 24. Let z = p + 14. What is the lowest common multiple of z and 10?
10
Suppose 7*h = 3*h + 132. Suppose -25*q = -32*q + 266. Suppose -3*p + 5*m = -55, -2*p = m - 5*m - q. What is the lowest common multiple of h and p?
165
Let i be (-5387)/(26*5/(-60)). Let q = 2483 - i. Find the common denominator of q and 0 + 1 - 207/(-230).
130
Suppose 17*u + 98*u - 1150 = 0. Let s = 46 + -30. What is the smallest common multiple of -3 + s + (-1 - 2) and u?
10
Find the common denominator of 191/870 and (-2108)/(-248)*2/3.
870
Suppose -3*t - 244 = -5*g, -3*g + 0*t - t = -152. Suppose -o + 1 = 5*b, -127*o - 3*b = -132*o + 33. What is the lowest common multiple of g and o?
150
Suppose 60*f = 49*f + 9660 + 6554. Calculate the smallest common multiple of f and 6.
4422
Let x = 95 - -205. What is the common denominator of -65/54 and x/2160*(-34)/15?
54
Let u = -16665 - -1166657/70. Find the common denominator of 248/(-35) + 1/(-5) and u.
70
Let j(o) = 15*o - 62. Calculate the smallest common multiple of j(12) and 44.
2596
Suppose -108*q + 10749 - 9885 = 0. Calculate the lowest common multiple of 1568 and q.
1568
Let q = 102933/10 - 10284. What is the common denominator of -16/2841 and q?
28410
Let q = -9609 + 10316. What is the least common multiple of 505 and q?
3535
Let y(g) = -g - 11. Let v be y(-7). Find the common denominator of v/7*481/52 and -76/9.
63
Let x(d) = d**3 + 67*d**2 + 202*d - 738. Calculate the smallest common multiple of 1742 and x(-63).
31356
What is the lowest common multiple of 7/(-6)*(306 + 3)*420/(-147) and 1133?
11330
Suppose -66 = -3*r + 2*k, r + 5*k - 3*k = 30. Suppose 0 = r*u - 19*u - 20. Calculate the lowest common multiple of (-1)/((-147)/48 - -3) and u.
16
Suppose -2 - 63 = -5*k. Suppose -i - k - 3 = -4*b, 5*b - 20 = -4*i. Find the common denominator of -71/2 and (-810)/40 - (0 + i)/(-3).
4
Let s = -218745/16 + 13666. Suppose 0 = -47*v + 51*v + 980. What i