1 - 260/23. Find the common denominator of x and (2/(-10))/(2 - (-33)/(-16)).
35
Let x(p) = 9*p + 54. What is the lowest common multiple of x(-5) and 9?
9
Let s = -1967 - -7815/4. What is the common denominator of 5 - ((-126)/(-20) + 1) and s?
20
Let r = -649409/4847248 + 2/43279. What is the common denominator of 5/63 and r?
1008
Calculate the smallest common multiple of (4 + -44)/(0 - 4/6) and 132.
660
Let w(v) = v - 7. Let h be w(9). Suppose o = -h*o. Suppose 5*j + 3*d - 88 = o, 0 = 3*d + 20 - 8. What is the least common multiple of j and 8?
40
Let h = -15 - -18. Suppose -2*x + h*q = -6, x - q - 3 = 2*q. What is the common denominator of x*(-3 + 392/108) and 37/10?
90
Let p = 12 + 10. Let f = 31/2 + p. What is the common denominator of f and 14/3?
6
Let y = -146 + 274. What is the least common multiple of 12 and y?
384
Let o = 4680 - 37519/8. What is the common denominator of -5/42 and o?
168
Suppose -304 = -72*r + 68*r. Calculate the smallest common multiple of r and 209.
836
Let y be 278/(-12) + 0 + -1. Let g = 401/21 + y. What is the common denominator of (-472)/126*(-15)/(-40) and g?
42
Calculate the common denominator of 50 and -7 + (-2116)/(-120) + -6.
30
Suppose 5*y = -2*m + 20, -3 = -y + 3*m + 1. What is the smallest common multiple of y and 10?
20
Let b = 167 + -161. Calculate the least common multiple of b and 4.
12
Let c = 2/13421 + 926029/134210. What is the common denominator of c and -193/1530?
1530
Let r(j) = -5*j**2 - 7*j - 14. Let z(n) = 4*n**2 + 6*n + 13. Let h(k) = 3*r(k) + 4*z(k). What is the lowest common multiple of 12 and h(-4)?
84
Calculate the least common multiple of (-2862)/(-24) + 10 - (-10)/(-8) and 28.
896
Let o be (-39)/78 + -1 + (-65462)/(-43636). Let g = 861783/152726 + o. Find the common denominator of g and 57/2.
14
Find the common denominator of (4/(-14))/((-1020)/(-2023)) and -47/6.
30
Let n = -11089/24620 - -1/2462. Suppose -9*d + 18 = -10*d. Calculate the common denominator of 333/(-10)*(-6)/d and n.
20
Let y = 15237791/118 - 129133. Find the common denominator of y and -105/22.
1298
What is the common denominator of -4 + 7 + -6 + (-255)/(-108) and 1/72?
72
Let d be (2 - -15)*(0 + -167). Let m be d/(-2) - (-21)/28. Let z = m + -1413. Calculate the common denominator of 9/14 and z.
28
Find the common denominator of 24/61 and 752/(-658) + (-368)/21.
183
Let f be 49751/(-397880) + 5/40. Let h = f + -706229/198940. Calculate the common denominator of 91/4 and h.
20
Let x = -14735/12 + 1231. Let v be 4/12 - (-2990)/12. Let s = 201 - v. Calculate the common denominator of x and s.
12
Let i be -43 + 1/(1 - 2). What is the smallest common multiple of (-2)/7 + i/(-7) and (135/75)/(-9) - (-182)/10?
18
Let p = 43/5 + -17/2. Find the common denominator of ((-6)/4)/(120/(-232)) and p.
10
What is the least common multiple of (35/(-15))/(6/(-54)) and 4?
84
Let u be (46 + -1)/(2/(-2)). Find the common denominator of 140/36 - (-2)/9 and (-46)/(-30) - (-9)/u.
9
What is the common denominator of (-4)/10*(-225)/33 and 455/45 - (-7)/((-42)/18)?
99
Let g be (4/54)/(59632/29796 - 2). Let c = g + -237/5. Find the common denominator of c and (2/10)/(6/339).
90
Suppose -91*c = -81*c - 3980. What is the smallest common multiple of 18 and c?
3582
Let p = -14 + 24. Suppose 10 = 3*i + 4. Suppose -5*b - 1 = -v + 3*v, i*b = -v + 1. What is the least common multiple of p and v?
70
Let v = 252 - 234. What is the least common multiple of v and -2 + (-14)/((-2)/2)?
36
Let o = 6103/60 + -1441/15. Find the common denominator of 79/212 and o.
1060
Let h(m) be the first derivative of m**3/3 - 5*m**2/2 + m - 18. What is the lowest common multiple of h(7) and 1?
15
Let v(i) = -3*i - 13. Let g be v(-8). Let h = 13 - g. Suppose -3*b = -41 - 1. What is the smallest common multiple of b and h?
14
Suppose 0 = -2*x - 0*x + 26. Suppose x*o = 12*o + 18. Calculate the lowest common multiple of o and (-2 + (-9)/(-2))*8.
180
Let p(g) = g**3 - 8*g**2 + 3*g + 6. Let i be p(6). Let a = 58 + i. Suppose -u = 4*u - 100. What is the least common multiple of u and a?
20
Suppose 413 + 432 = -13*w. Let q = -20075/8 + 2515. What is the common denominator of ((-10)/44)/((-5)/w) and q?
88
Suppose 0*y + 4*y + 144 = 0. Let f = -22 - y. Calculate the smallest common multiple of f and 2/(-4 - -3 - (-6 + 4)).
14
Let m = -308 - -316. What is the least common multiple of 12/2 + (-1 - -1) and m?
24
Suppose 3*d + y = 113, -2*d = -4*d + 3*y + 57. Calculate the smallest common multiple of 54 and d.
108
Suppose 3*w = 5*q - 2, -5*q = w - 22 - 4. Let p(z) = -2*z + 12. Let d be p(6). Suppose d = 11*v - 112 - 42. Calculate the least common multiple of w and v.
42
Find the common denominator of -89/90 and (-2112)/(-3240) - (3 + -2).
270
Let b(o) = o**2 + 4*o - 4. Let j(z) = -2*z - 33. Let n be j(-17). Suppose n = 4*l - 39. What is the smallest common multiple of l and b(-5)?
10
Let w = -5053/1526 + -5/109. Find the common denominator of w and -67/84.
84
Let f = 20 + -21. Find the common denominator of 9/2 and f/8 + (-243)/40.
10
Suppose -y = -4*i + 32, -i + 3*y - 2 = 1. Let n(c) = -c + 10*c**2 - 4*c + 0*c**3 - 4*c + 10 - c**3. What is the least common multiple of n(i) and 10?
10
Find the common denominator of (-1593)/3388 + (180/35)/9 and 109/220.
2420
Suppose 8*t - 5*t = 0. Find the common denominator of -29/8 and 4 + t + 287/(-30).
120
Suppose -2*v + 78 = -0*v. Let s be (v - 1)*6/12. Let a = s + -10. What is the least common multiple of a and 3?
9
Suppose 0*h = h - 2. Let l be 4 + -8 + (18/(-2) - 3). Calculate the common denominator of h/2 + 70/l and 37/4.
8
Let v be (-509007)/(-70) - 6/(-15). Let p(l) = 605*l + 17. Let a be p(12). Let c = v - a. Calculate the common denominator of c and -97/18.
126
Let c = 122803/14 + -8778. Calculate the common denominator of -61/102 and c.
714
Let y = -624 - -6233/10. Let q = -30/41 - -997/410. Calculate the common denominator of q and y.
10
Suppose -15 = -5*q, 6*q = -3*z + 11*q + 3. Calculate the least common multiple of 12 and z.
12
Suppose -5*g - 5*j = -115, -g + 0*g = 3*j - 25. What is the smallest common multiple of 10 and g?
110
Let w(t) = t**2 + 5*t - 12. Let u be w(-7). Let o(g) = 7*g + 6. Calculate the lowest common multiple of 6 and o(u).
60
Let r be (8 + -10)/(1 - (-54)/(-56)). Let a = r - -64. Calculate the lowest common multiple of a and 4.
8
Let y(d) = 4*d - 88. Calculate the lowest common multiple of y(25) and 2.
12
Find the common denominator of (665/77 + -8)*5*1 and -91/66.
66
What is the lowest common multiple of (-2)/(-8) - 55/(-4) and 792/108 - 16/(-6)?
70
Let p(x) = 152*x**2 + 2*x + 5. Let b be p(-5). Let z = b - -225. Let r = z - 44250/11. Calculate the common denominator of r and 49/2.
22
Let v = 17954 - 2010937/112. What is the common denominator of -105/88 and v?
1232
Calculate the common denominator of ((-40)/(-7 - -5) + 0)/(-81) and -62/189.
567
Let g = 22070 + -175873/8. Let a = -351/4 + g. Find the common denominator of 51/40 and a.
40
Find the common denominator of -10 + (-9)/((-4860)/6201) and -77/12.
60
Let l(w) = 2*w**2 + 3*w + 3. Let d = 10 + -12. Let r be l(d). Suppose -2*i + 16 = r*m + i, -m - i + 4 = 0. Calculate the smallest common multiple of 11 and m.
22
Let w be 492/1480*(-25)/(-120). Let u = -6679/4 - -246715/148. Let x = w + u. Find the common denominator of x and 43/8.
16
Let n = 183196 - 34624124/189. Calculate the common denominator of -74/231 and n.
2079
Let l be -3 + 0 - (-9824)/42. Let r = 231 - l. Find the common denominator of r and -23/33.
231
Let m(n) be the third derivative of 0*n + 1/12*n**4 - 4*n**2 + 0 - 1/3*n**3 + 1/12*n**5. What is the smallest common multiple of m(2) and 16?
176
Suppose -18 = -243*u + 242*u. What is the least common multiple of 117 and u?
234
Suppose -p + 5*x = 14, -2*p - 11 - 22 = -5*x. Let y = 38 + p. Suppose -36 = -5*z + y. What is the lowest common multiple of z and 9?
99
Let o(f) = 40*f + 2. Let l be o(4). Let c(a) = -2*a**2 - 8*a + 4. Let t be c(-6). What is the common denominator of -13/16 and t/(-5) + l/8?
16
Let u be 3/2*32/(-12). What is the common denominator of -77/4 and (3 - (-45)/50) + u?
20
Let v = -45 + 31. Let g = 26 + v. What is the smallest common multiple of ((-63)/(-42))/((-6)/(-16)) and g?
12
Suppose 0 = 27*j - 15*j - 108. What is the lowest c