rivative of -c**5/60 + c**4/6 + 17*c**3/6 - 7*c**2. Let b be g(-5). Calculate the common denominator of 30/7 and b - -26 - -20*1/(-9).
63
Let o = -26833/4 - -2334647/348. What is the common denominator of o and -19/24?
696
Suppose 2396 - 18866 = -82*f - 101*f. Calculate the smallest common multiple of 3470 and f.
31230
What is the common denominator of -47/627 and 32/(-3472)*(2 + -2*(-219)/(-198))?
19437
Suppose 0 = -f + 3*f - 144. Let h(g) = 4*g + 52. Let x be h(-11). Calculate the lowest common multiple of f and -1 - -6 - (2 - x).
792
Let k = -549216/7 + 78606. Let l = -142 + k. What is the common denominator of l and 1 - (1 - (-68)/(-9))?
63
Let g(q) = -3*q**3 + 2*q - 1. Let t be g(-2). Let h = t - 14. Calculate the smallest common multiple of 3 and h.
15
Let z be (-39273)/9 - ((-5)/3 + 2). Let x = -139631/32 - z. Let k = -1314/29 - -26755/522. Calculate the common denominator of x and k.
288
Let f(a) = a**3 - a**2 - 2*a + 32. Let q be f(0). Let d = q - 50. Let r(j) = j**2 + 17*j + 2. Calculate the lowest common multiple of 14 and r(d).
140
Let h = 5559 + -5495. Calculate the least common multiple of h and 292.
4672
Let p = -112/97 - -36515/44814. Calculate the common denominator of p and -103/105.
2310
Let t(i) = -i**3 - 38*i**2 - 50*i - 474. Suppose -5*n - 80 - 1 = -4*o, -o + 39 = 5*n. Calculate the lowest common multiple of t(-37) and o.
168
Suppose -22 = 17*y - 15*y. Find the common denominator of ((0 - 5)*y)/(-54) and -7/22.
594
Suppose 0*r + 110 = 5*r. What is the least common multiple of (132/(-15))/((-2416)/200 + 12) and r?
110
Let x = 4818 + -10469517/2173. What is the common denominator of x and -51/410?
21730
Suppose 10 + 79 = 91*f - 93. What is the lowest common multiple of f and 272?
272
Let z be (-148)/(-111) + -241*245521/234. Let k = z + 252865. Find the common denominator of k and -31/90.
1170
Suppose -3*j - d + 35 = 0, 6 = j - 3*d - 9. Let f be (-2 - -5) + -2 + -3. Find the common denominator of 149/6 and (-2 - -83)/(j*f/(-3)).
24
Suppose -160*h = -107*h - 98580. What is the smallest common multiple of h and 27?
16740
Let j = 7084 + -7072. Calculate the lowest common multiple of j and 459.
1836
Let u(n) = n**3 + 15*n**2 + 13*n. Let t be u(-14). Suppose t*f = 10*f + 216. What is the least common multiple of 3 and f?
54
Calculate the common denominator of ((-111)/14)/((-136630)/7357) and ((-66)/15)/(8/45).
260
Let t = -132037 - -36706203/278. What is the common denominator of 32/7 and t?
1946
Suppose 3*i = -20 - 13. Let l = i + 67. What is the lowest common multiple of 1 - -15*16/48 and l?
168
Let y = 1002/91 + -17761/1456. Let i be 10/(-8)*6/445. Let s = i - -319/445. What is the common denominator of y and s?
80
Let r = 13003/10 - 5187/4. What is the common denominator of 3/400 and r?
400
Let k be -2 - -1 - (-5)/(60/624). Suppose 3004 = 2*x - 0*x. Find the common denominator of (-159)/k + 3 + x/1496 and 63/40.
440
Let t(f) = 36*f**3 + f**2 + 4*f + 2. Let o be t(-1). Let r = -25 - o. Let u = 0 - -54. What is the lowest common multiple of r and u?
108
Let u = -4/1351 - 63473/8106. What is the common denominator of 47/656 and u?
1968
Suppose 17*l = -50731 - 1187. Let t = l + 171043/56. Find the common denominator of t and 79/80.
560
Let x = -257 - -263. Calculate the common denominator of -37/36 and (142/(-27) - -2) + x.
108
Suppose -24 = -5*a - 9. What is the common denominator of (-516)/(-32) + 6/(-16) and -2*(-30)/35 + a?
28
Calculate the common denominator of ((-454381)/(-552))/43 - 19 and 20/23.
552
Suppose -13*n - 8*n = -32*n + 7139. What is the lowest common multiple of 826 and n?
9086
Let s be 8/430*(-2120)/(-272). Let z = -3477/2924 + s. Find the common denominator of 119/36 and z.
612
Suppose 3*s = 0, -4*s - 3 = -2*d + 13. Let k = 21 - d. Let n = k - 11. What is the lowest common multiple of 9 and n?
18
Suppose -945 = -8*v - v. Calculate the common denominator of (18/24)/(v/(-250)) and 61/188.
1316
Suppose 3*w + 757 = 16*y + 187, -5*y + 182 = w. Calculate the least common multiple of 1444 and y.
12996
Suppose 0 = -4*w - 3*p + 2888, 59*p - 2872 = -4*w + 54*p. What is the lowest common multiple of 140 and w?
3640
Calculate the common denominator of 30/9*((-193227)/721056 + (-4)/(-14)) and 49/2368.
2368
Suppose i = 3*z - 14, -4*z + 28 + 4 = -4*i. Let o(m) = -m - 1. Let t be o(z). Calculate the smallest common multiple of (-2)/t*-3*220/(-30) and 10.
110
Let y = -4040009/336 + 12024. Find the common denominator of y and -25/24.
336
Let r = -2/1225 - 82069/3675. Let m = -1807/87 + -26/29. Find the common denominator of r and m.
3
Let w = 460564 - 424179508/921. What is the common denominator of -21 and w?
921
Let o = 78945360860089/6919580 - 15317/345979. Let s = 11413923 - o. Let n = -4946 + s. What is the common denominator of -83/8 and n?
40
Let g = 267589/6 - 44582. Calculate the common denominator of 54/1415 and g.
8490
Let a be ((-10)/75)/(12/(-185415)). Let s = 2078 - a. Calculate the common denominator of s and (-8)/10*5/2 + -47.
6
Suppose 5*g = 3*x - 19, -4*g - 13 = -5. Suppose 3*c - 21 = x*v, -c - 3*v - 13 = -0*c. Let o = -1070 + 1076. Calculate the lowest common multiple of c and o.
6
Let l be (5 + -3)*(-5)/2. Calculate the common denominator of 406/360 + (-2)/l and 49717/4792*2/(-20)*-2.
360
Suppose 2*m - 28 = -2*h, -299*h - 88 = -5*m - 301*h. What is the lowest common multiple of m and 15060?
15060
Let y = 248495/8 + -31140. Let i = -5089/72 - y. What is the common denominator of 58/9 and i?
9
Let k = 11 + -8. Let u(l) = 2*l**3 + 40*l**2 - 9*l - 174. Let v be u(-20). Suppose -k = -v*q + 9. What is the smallest common multiple of q and 12?
12
Suppose 43*p - 137 = -438. Let m(r) = -45*r - 307. Calculate the smallest common multiple of m(p) and 96.
96
Let r = 403 + 39. Let o = 530 - r. Suppose -16 = -5*p - 2*k, -p - 3*p + k = -18. What is the least common multiple of p and o?
88
Let z(c) = -26 + 7*c**2 - c**3 - 132*c + 74*c + 69*c. Let o be z(8). Find the common denominator of -56/15 and (o + 25/2)*(-2 + 4).
15
Let c = -122 + 130. Calculate the common denominator of 770/156 - ((-32)/8 + c) and 68/27.
702
Let h = 600 - -1424. What is the least common multiple of 14 and h?
14168
Let w = -722/3 + 7945/33. Calculate the common denominator of 65/4088 and w.
44968
Let w = 151 - 1962/13. What is the common denominator of w and (-885)/(-590)*((-287)/84)/(3/(-8))?
39
Let n(p) = 593*p**2 - 139*p - 282. Calculate the smallest common multiple of 4 and n(-2).
2368
Let s(q) = -48*q - 144. What is the least common multiple of s(-10) and 56?
336
Let n(j) = -j**3 + 4*j**2 + 10*j - 8. Let t(h) = -4*h - 2. Let v be t(-2). Find the common denominator of n(v) and 4*((-1)/(-5))/(9522/(-870) + 11).
2
Let m(a) = 373*a**3 - 7*a - 6. Let c be m(-1). What is the common denominator of 2 - (-7 - c/8) and -53/4?
4
Suppose -42*d + 816 + 1200 = 0. Calculate the lowest common multiple of 108 and d.
432
What is the common denominator of ((-1)/(-15) + (-4)/(-12))*(-395)/1500 and -91/675?
6750
Let f = -1107 + 1142. Let k = 64 + -1. Calculate the lowest common multiple of f and k.
315
Let b = -43 + 40. Let f be 1557/36 + b/(-4). Let t = -36 + f. Calculate the least common multiple of t and 16.
16
Let w = -2/14297 - 1386773/257346. Let i = -9450 + 113321/12. Calculate the common denominator of w and i.
36
Let g = -152 + 54. Let r = 106 + g. Find the common denominator of 29/r + 23/(-184) and 10/7.
14
Calculate the common denominator of (-2)/(-20)*4960/(-1120) and 57/1990.
13930
Suppose 43*f - 39*f - 1152 = 0. Suppose 12*u = 4*u - f. What is the common denominator of ((-83)/(-10))/((u/(-10))/(-3)) and -81/22?
132
Let c(b) = 8*b**3 + 2*b**2 - 3*b + 3. Let a be c(5). Suppose 11*v - 4228 = -a. Calculate the lowest common multiple of 4 and v.
580
Let k = 18 + -9. Let u(o) = -2*o**2 + 9*o - 3. Let h be u(k). Calculate the common denominator of 25/18 and (-2)/(-6) + (-76)/h.
126
Let h(t) = -5*t + 3. Let d be h(3). Let s be 4/(-6) + d/9. Find the common denominator of s - (-28)/48*26 and 69/16.
48
Let p = 1/8143 + -1132141/2149752. Let o = 2495/846 + -42/47. What is the common denominator of p and o?
792
Suppose y = -0 - 3. Find the common denominator of y - (-4 - (-58)/(-36)) and ((-645)/(-36))/(-5) + (7 - 4).
36
Let o = 20 - 14. Suppose 0 = 8*a - 16 