he first derivative of -3*c**3 - 9*c**2 + 23*c - 9. Let w(u) be the first derivative of x(u). What is the lowest common multiple of 4 and w(-7)?
108
Let g = 57586 - 8292421/144. Calculate the common denominator of g and -7/144.
144
Let q be (-25 + -4)/((-2)/2). Suppose 0 = -5*y - 2*m + 116, q*m - 42 = -2*y + 26*m. What is the least common multiple of 12 and y?
24
Suppose -3 = -3*f, 4*r + 11*f = 12*f + 139. Find the common denominator of 62/60*21/r and 83/30.
150
Let b = -1493 + 1497. Calculate the least common multiple of b and 154.
308
Let f = -7 - -9. Suppose 0 = -f*c - 3*p + 12, -4*p + 8*p = -2*c + 10. What is the lowest common multiple of 12 and c?
36
Suppose -3*t = 3*v - 15, 2*t - 394 + 372 = 4*v. What is the least common multiple of 7 and t?
7
Let i(w) = 2*w**2 - 2*w - 38. Let l be i(-4). Suppose -j + l*j = -4*b + 18, -5*j + 3*b = -21. What is the lowest common multiple of 46 and j?
138
Let u(o) = 98*o + 105*o + 32 - 201*o. Calculate the smallest common multiple of u(-14) and 44.
44
Let i = -7141 + 150013/21. Calculate the common denominator of 28/687 and i.
4809
Suppose 13*n - 70 = -2*d + 15*n, 3*d + n - 85 = 0. What is the least common multiple of 120 and d?
120
Let g = 1/116326 + 6455993/11632600. What is the common denominator of 61/680 and g?
3400
Let v(b) = 3*b**2 - 4. Let l be 1 - 5 - (1 + -7). Suppose 8 - 62 = -5*m - 3*i, 3*i = m - 18. What is the lowest common multiple of m and v(l)?
24
Suppose -367 = 16*w - 415. Calculate the lowest common multiple of w and 1047.
1047
Let o = 378 - 372. Calculate the common denominator of -119/24 and o/(-5)*(5 - 70/90).
120
What is the common denominator of 1859/1080 - 2 - (-6)/18*1 and -11/324?
3240
Let m = 2159 - 1763. What is the least common multiple of 42 and m?
2772
Suppose 0 = -0*i + 4*i + 248. Suppose z + 251*n - 246*n = -86, 2*n - 565 = 5*z. Calculate the common denominator of 52/27 and (z/74)/(((-36)/i)/2).
54
Calculate the common denominator of ((-49 - -47)/((-4)/126))/20 and 41/6.
60
Let m(u) = -12*u**3 + 3*u - 26. Let c be m(7). What is the common denominator of (-194)/(-12) + (-1 - -1) and (-4)/(-12) - c/390?
30
Let s = 8 - 9. Suppose 5*z - 5*m + 8 - 38 = 0, 14 = 3*z - 5*m. Calculate the lowest common multiple of (3 + s - 4)/(-1) and z.
8
Let x(f) = -f**2 - 51*f - 184. Calculate the least common multiple of ((-12)/20)/((13/(-60))/13) and x(-47).
36
Let b(x) = -x**3 + 12*x**2 + 10*x + 12. Let t be b(13). What is the common denominator of (-6)/t + 393/540 + -2 and (3/42*94)/1?
140
Suppose k + 2*l = 5125, k + 6*l - 5121 = 3*l. Let d = -82173/16 + k. What is the common denominator of d and 57/14?
112
Let h = 18 - 12. Let c = -16349 - -16361. What is the smallest common multiple of c and h?
12
Suppose -2*h + 748 = 740. Suppose 58 = -h*g + 74. What is the least common multiple of g and 682?
1364
Let o = -36130 + 36720. Calculate the lowest common multiple of o and 94.
27730
Let r = -2/18217 + -2532019/1311624. What is the common denominator of -17/27 and r?
216
Calculate the common denominator of 93/536 and 1*(29997/176)/27.
1072
Suppose 21*y = 31*y. Suppose 5*o + n - 8 - 49 = y, 5*n = -5*o + 45. Calculate the smallest common multiple of o and 39.
156
Let h(u) = -21*u + 1282. Suppose -o = -61 - 29. Suppose a - o = -4*a. Calculate the least common multiple of a and h(60).
198
Let t(y) = y**3 - 3*y**2 - 2*y + 2. Let i = -800 - -843. Calculate the lowest common multiple of t(4) and i.
430
Let b(g) = -8 + 31 + 2*g + 11 - 7. Let x be b(-13). What is the common denominator of -3 + 13/(-8) + -1 + x and 53/64?
64
Find the common denominator of 10/9 and 1919/114 + 3 + (-12 - 0).
18
Let u = 2065 + -1111. Calculate the lowest common multiple of 742 and u.
6678
Let l(i) = 14*i**2 - i**3 - 56*i - 4*i**2 + 11*i**2 + 28 - 8*i. Calculate the smallest common multiple of 104 and l(17).
1248
Suppose 20*h = 623465 - 623545. Let f = -1/15381 + 91723/102540. What is the common denominator of f and h?
180
Suppose 0 = -18*g + 41 + 31. Suppose -4*d + 49 = 4*n + 189, -g*d - 80 = 2*n. Find the common denominator of n and 31/4.
4
Suppose 3*w = 3*p + 9360, 6*p - 4*w = 11*p + 15573. Let z = p + 18599/6. What is the common denominator of z and 44/673?
4038
Let l = -592595/36 + 16462. Find the common denominator of -19/1084 and l.
9756
Suppose -5*f + 87 = 3*r, -2*r - 54 = -4*r - 2*f. Suppose -4*i = -0*i - r. What is the lowest common multiple of 30/(-285) - (-1294)/19 and i?
204
Let s be (10 + (0 - 3))/(17/(-68)). Suppose 0 = 3*a + 4*t + 92, -5*t + 3*t = -3*a - 98. Let n = s - a. Calculate the least common multiple of 22 and n.
44
Let p(k) = 4*k**2 - 35*k + 15. Let n be p(9). Suppose -n = -g - 10. What is the smallest common multiple of g and 348?
2436
Suppose 16*s = -130*s - 2557 + 7667. What is the lowest common multiple of s and 180?
1260
Suppose -946 = 3*j - 3832. Let m = -4745317/12 + 396406. Let d = j - m. Calculate the common denominator of d and -97/108.
108
Let z = -29907859/30 + 2988824/3. Let g = z - -3214/5. Calculate the common denominator of g and 2/11 - 346/88.
12
Let k = 9326 + -9318. Suppose -5*v - 3*i + 229 = 0, 0 = -0*v - 2*v + i + 85. Calculate the smallest common multiple of k and v.
88
Let s = 10295 - 8463. What is the smallest common multiple of s and 2061?
16488
Let j be (2 - 140/18) + (-6)/27. What is the smallest common multiple of 138 and -8 - (-38 + 0/j)?
690
Let y be (-245)/(-9) + 12/(-54). Suppose 0 = -31*l + y*l + 32. Let b(s) = -19*s + 186. Calculate the lowest common multiple of l and b(8).
136
Let u = 298615/26 - 11482. Let y = -659295 + 61973699/94. What is the common denominator of u and y?
1222
Suppose 0*t - 2*d = -5*t + 702, 0 = 2*t - 2*d - 282. Calculate the lowest common multiple of t and 420.
420
Let t(r) = -r**2 + 47*r - 149. Let i be t(38). Let c = -775/4 + i. Let b = -1/2490 + 73457/4980. Find the common denominator of c and b.
4
Let g be -1 + 5 + (2635755/140 - -5). Let f = g - 18838. Let p = f + 1189/308. Find the common denominator of p and 9/58.
638
Let v = -89199 + 13736757/154. What is the common denominator of v and -117/2282?
25102
Let x = 540 - 528. Calculate the common denominator of -57/22 and (-164)/(-32) + x/16.
88
Calculate the common denominator of -47/18 and -7 - (7 + -2 + 177240/(-14704)).
16542
Suppose -15*j + 360 = -25*j. What is the smallest common multiple of ((-32)/j)/(4/18) and 40?
40
Let i = 9258 - 8638. Calculate the lowest common multiple of i and 48.
7440
Let m = -9827 - -9839. Let c = 4 - -4. What is the least common multiple of m and c?
24
Let n = -4553 - -4587. What is the smallest common multiple of 662 and n?
11254
Let m = -18550 - -315065/17. Let j = m - -3241/170. What is the common denominator of 47/10 and j?
10
Let a be (-45070)/80 - (-2)/(-8). Let w = -558 - a. Find the common denominator of w and 7/52.
104
Calculate the least common multiple of -16 - 900/(-56) - 1535/(-70) and 4213.
8426
Let y(j) = -j**2 + 8*j + 4. What is the lowest common multiple of y(8) and -6*(-1130)/40*(-16)/(-12)?
452
What is the least common multiple of 780 and (52/(-130) - (-37)/5) + (12 - 1)?
2340
Let u be (-4 - (-5095)/(-3))*-1. Let r = u - 20519/12. What is the common denominator of r and 59/38?
228
Find the common denominator of ((-2)/(-3))/(3128/1587) and -7 - 4/((-144)/338).
612
Let m = 12611494 + -80650504336/6395. Let l = -42464251/153480 + m. Let d = -835/3 - l. Calculate the common denominator of d and -41/10.
40
Let v = 22058740 - 1985265773/90. Let n = 463/2 - v. What is the common denominator of -41/5 and n?
45
Let q = 5974 + -4273. What is the least common multiple of 567 and q?
1701
Let u = -14016388/735 - -114421/6. Find the common denominator of -51/28 and u.
980
Let a = -404 - -704. Let y = a + -250. What is the lowest common multiple of 110 and y?
550
Suppose -13*q = 2*n - 14*q - 82, -4*n + 140 = -5*q. What is the least common multiple of 1675 and n?
15075
Let d = -2041 + 2363. What is the least common multiple of d and 10?
1610
Let a be -2 - ((11 - 17) + (0 - 4)). Let d be (12/a)/(3 - (-22)/(-8)). What is the common denominator of (-453)/54 + -2 + 30/d and 79/33?
198
Let w be (25395/(-4455))/(38/(-13)). Let r = w - -7/297. What is the common denominator of r and 17/6?
114
What is the lowest common multiple of 516/(-2322) - (-24412)/18 an