et b(g) be the third derivative of g**5/30 + 11*g**4/24 - 11*g**3/2 - 6*g**2 - 4*g. Calculate the lowest common multiple of b(4) and 11.
473
Suppose -4*h - r - 2508 = 5776, -4*h = 2*r + 8280. Let g = -92/15 - -871/120. What is the common denominator of 9 - (1 + h/(-192)) and g?
24
Let w = -271 - -103. Let m = -2164/29 - -39829/580. Calculate the common denominator of -2*(-9)/w - 1 and m.
140
Let w(y) = -y**2 + 57*y + 253. Calculate the smallest common multiple of w(61) and 113.
1017
Let j(n) = n**3 - 10*n**2 + 21*n + 17. Let w be j(10). Calculate the common denominator of -58/9 and w/(-99) - ((-9)/(-11) + -1).
9
Let o(c) = c**2 - 105*c + 525. What is the least common multiple of o(100) and 5?
25
Suppose -9 = -2*t - y + 2*y, -24 = -4*t + 4*y. Suppose w = t*w + 4*b - 44, -2*w + 5*b + 35 = 0. What is the smallest common multiple of w and 4?
20
What is the least common multiple of 210 and (2 - 0 - -4)*(6 + -4)?
420
Let p = -5459653/80 - -68247. Calculate the common denominator of p and (-99)/150 + 80/(-100).
400
Let b = 49493/145112 + -19/1649. What is the common denominator of (-201)/2*(-4)/(-7680)*16 and b?
880
Let g = -1/7900 - -22121/7900. What is the common denominator of g and -25/747?
3735
Find the common denominator of -44/195 and 8/(-44) - (-5 + 173874/34320).
1560
Let c = 178 - 254. Find the common denominator of 0 + (-788)/(-1914) + c/418 and 101/6.
174
What is the smallest common multiple of 2*(2 - 1*-6) and ((17/(-21))/((-1)/6))/(605/8470)?
272
Suppose -a + 167557 = 4*r, -5*r - 18*a + 209425 = -21*a. What is the common denominator of 16/(r/297) - (-1)/(-7) and -23/10?
170
Find the common denominator of -39/8 and (12 - (-1286265)/(-107190))*213.
9528
Let d be (-1)/((-1)/(-10)*2). Let q(m) = -m - 3. What is the lowest common multiple of q(d) and (92/10 + -9)/(((-35)/75)/(-7))?
6
Suppose -308 = -2*o + 22. What is the smallest common multiple of 2880/o + (-6)/(-11) and 316?
2844
Let a be 12109 + 1/((-5)/20). Suppose 6*s = -3*s - a. Let g = s - -4102/3. Find the common denominator of g and 8/25.
75
Let r be -301*(-3 - 135/(-63)). Let d = 294 - r. What is the lowest common multiple of 56 and d?
504
Calculate the common denominator of 47/627 and ((-1656)/1026 + (2 - -1))/((-4)/3).
2508
Let k(b) = -1090704*b**2 + 3*b + 3. Let r be k(-7). Let o = -71669083522/1341 - r. Let c = -24/149 + o. Find the common denominator of -48 and c.
9
Suppose 35*z + 26*z - 540 = 16*z. What is the least common multiple of (-6 - -2)*27/(-2) and z?
108
Calculate the common denominator of 2/12 + (-160)/150 and (1586/90 - 26/117)/((-16)/(-20)).
20
Let g be 8/12 - 122/3. Suppose -51 + 24 = -27*z. What is the common denominator of 103/22 and (z/(6/12))/(g/(-62))?
110
Let g = 4 - 3. Calculate the least common multiple of g + 1 - -10 - 1 and (-392)/(-112)*6/7 + 3.
66
Let y = -283 + 273. Calculate the least common multiple of (0/1)/(y - -9) + 184 and 64.
1472
Let q be (-6)/(-8) - 930/1848. Let m = 2735/462 + q. Find the common denominator of 236/(-16) + -1 + 3 and m.
12
Let t = -26732/11 + 11307944/4653. Let i = 8374/2961 - t. What is the common denominator of i and -64/33?
231
Suppose 147*c - 165755 - 26521 = 0. What is the least common multiple of c and 24?
2616
Suppose -4*q + 2*g = -490, -5*g = 4*q - 14 - 441. Calculate the smallest common multiple of 236 and q.
7080
Suppose 553 = 43*a - 49. What is the lowest common multiple of 528 and a?
3696
Let h be (1 - (1 + -5))/1 - -445. Suppose 29*z - 38*z = -h. Calculate the smallest common multiple of 20 and z.
100
Let q be 3/(-46275)*(-5 + 5807193/388). Let v = q - 1/59849. Find the common denominator of 21/50 and v.
100
Let t(f) = -65*f**2 + 14*f - 56. Let u be t(5). Let g = -47131/6616 + -1/827. What is the common denominator of g and u/(-54) - (-16)/(-2)?
24
Suppose 66 + 45 = f + 5*n, 5*f + 5*n = 495. Let r = -1355 - -1387. What is the least common multiple of r and f?
96
Let n(m) = 2*m**3 - 6*m**2 - m + 7. Let i be n(5). Find the common denominator of i/(-640) - (-1)/(-2 + -3) and -85/108.
1728
Let t(l) = 2*l**2 + 2*l + 4. Suppose -31*n - 64 = -33*n. Suppose -n = -3*x + x. What is the least common multiple of t(-2) and x?
16
What is the common denominator of 8/44 + 1407/308 + 2 and 89*(59/12 - 5)?
12
Let i = 2386201/87 - 27428. Find the common denominator of i and 59/1680.
48720
Suppose 100 = 4*t - 5*g, -t - 4*g + 0*g + 46 = 0. Let y be (-8)/(0 + 3/9). What is the least common multiple of y/(10/(-35) - 12/7) and t?
60
Let v = -42 - -47. Suppose -j = 4*j + v. Calculate the least common multiple of -7 - -22 - j/1 and 14.
112
Let r = -860294914/1443 + 596185. What is the common denominator of r and 47/11?
15873
Let w = -7389/28 + 1005191/3808. Find the common denominator of -29/1224 and w.
4896
Let i = -1185 + 11941/10. Let b(a) = 86*a + 110. Let n be b(20). What is the common denominator of i and n/(-1625) - ((-96)/52 - -2)?
50
Suppose -2*c + 20 = -7*c, -5*d = 2*c - 872227. Let z = d - 362500875/2078. Let v = z + -111119/12468. Calculate the common denominator of 89/24 and v.
24
Let x = 23959/20 - 1198. Let z = -7654575/16 + 478576. Let d = z + -165. What is the common denominator of d and x?
80
Let h(p) = 11*p**2 - 5*p + 2. Suppose 5*n + 3 = -4*j, 3*j = 8*n - 12*n - 2. What is the lowest common multiple of h(n) and 24?
24
Suppose -44*g = -0*g - 440. What is the common denominator of (12/g)/(-3) + (-14040)/2275 and (-4)/10 + (-71)/20?
140
Suppose 13241 = 82*k - 182329. What is the least common multiple of 33 and k?
26235
Let h(l) = l**3 + 30*l**2 + 83*l + 72. Suppose -8 + 0 = 4*r. What is the smallest common multiple of h(-27) and 15 - (r - -4) - -3?
144
Let p be ((-10)/(-15))/(-4 + 33450/8361). Let x = p + -912. What is the least common multiple of x and 7?
119
Let z = 11453/21 + -547. Let a = z - -13/7. What is the common denominator of 71/54 and a?
378
Let h be (3 - 19/5)*1942/8. Let f = 204 + h. Find the common denominator of f and 121/364.
1820
Let v = 33937/24338 + -648/283. Find the common denominator of 47/706 and v.
30358
Let h = -1658 - -1379. Let n = -4 - -6. Calculate the common denominator of -27/4 and (n + (0 - 3))*h/66.
44
Calculate the common denominator of (516/(-60))/((-264)/(-55)) + (-5)/2 and 67/420.
840
Let v be (1/(-21))/(5 + (-17178)/3437). Let g = v + 12361/420. Find the common denominator of g and -11/4.
20
Suppose 18 = -2*w + 36. Suppose w*d - 126 = 6*d. Calculate the lowest common multiple of d and 18.
126
Let j = -3384 - -3381. Let f(l) = -4 - 3*l**2 + 0*l**2 + 2*l**2 - 6*l. Calculate the common denominator of -73/30 and f(j).
30
Let n = -128 + 128. What is the common denominator of 39/(-16) + (-3)/(-12) + n and (-439)/(-42) + 10/(-35)?
48
Let a = -11110/3 + 944506/255. Find the common denominator of a and 41/4454.
22270
Let u = -24 + 40. What is the smallest common multiple of -1 + 1 + (132 - 123) and u?
144
Let f = 423560/63 + -6724. Calculate the common denominator of 50/217 and f.
1953
Suppose 0 = 8*b + 15 - 87. Let o(k) = 5*k - 27. What is the least common multiple of 22 and o(b)?
198
Let v(d) = d**2 + d + 1. Suppose 4*h = g + 19, 0*g + 2*h - 11 = g. Let f be v(g). What is the least common multiple of (f + -4 - 9)*2/(-6) and 4?
4
What is the common denominator of -55/36 and 9/24219*-2731 - (20/(-5) + 3)?
10764
Let s(m) = 3*m**2 - 20*m - 6. Let c be 5/90*-3 + (-1)/(-6). Suppose -3 = -2*i - 13, c = -3*f - 2*i + 11. Calculate the least common multiple of 4 and s(f).
4
Let o = 1071/4 + -2131/8. Let u(j) = j**3 - 2*j**2 - 6*j - 1. Let t be u(-5). Find the common denominator of t/(-80) + 3/(-15) and o.
8
Let x be (5870/(-4))/(29/(-174)). Let v = x - 528287/60. Calculate the common denominator of v and -41/84.
420
What is the smallest common multiple of 10/(15851/1320 - 12) and 720?
3600
Let h be (-3 + 1 - -1)*(-2)/1. Suppose -3*x = -2*x - h. Suppose 6*i - x*i + 60 = 4*s, 2*s = -3*i + 25. What is the lowest common multiple of 8 and s?
56
Suppose -2*s + 4*m + 672 = 0, -3*s - 253*m = -249*m - 998. What is the smallest common multiple of s and 2?
334
Let k(p) = p**3 + 26*p**2 - 28*p - 3. Suppose -352 = -20*h + 4*h. Calculate the smallest common multiple of k(-27) and h.
264
Suppose -3*s - s + j - 196 = 0, -3*s - j = 140. Let y = -44 - s. What is the least common multiple of 4 and 1*(y + 33/(-12)