(-45)).
114
Let m = 13 + -17. Let g(l) be the second derivative of -l**5/20 - l**4/3 - l**3/6 + 3*l**2/2 + 21*l. What is the least common multiple of g(m) and 43?
301
Let r = -317 - -461. What is the lowest common multiple of r and 33?
1584
Suppose -5*h + 42 = -3*h. Let k be (-6)/h + (-58)/(-7). What is the common denominator of 17 and (301/(-28))/(6/k)?
3
Let y = 267256783/1067 - 250475. Calculate the common denominator of y and -21.
1067
Let f be ((-12)/18)/(1/(-33)). Suppose -5 + 1 = 4*r, -2*r + f = 4*m. Calculate the least common multiple of 22 and m.
66
Let h be (-2)/((-4)/7)*120/(-210). Let t = -7 + 27. What is the lowest common multiple of t and h/8 - 405/(-20)?
20
Suppose -19*u - 1638 = -26*u. Let f = 96 + -371/4. What is the common denominator of (141/u)/(-2 + (-14)/(-6)) and f?
52
Let l = 1212/328427 + -1/803. Let c = l - -29854/1227. Calculate the common denominator of c and 39.
3
Suppose -4*h + 2 = a, -5*h + 8*h = -12. Let k(q) = -12*q - 3. Let m be k(-2). Let l = m - 11. Calculate the lowest common multiple of a and l.
90
Find the common denominator of -95/4 and (-6 - 367/(-34)) + -4.
68
Suppose -5*y + 37 + 48 = -3*b, 4*b = -y - 6. What is the lowest common multiple of y and 808?
5656
Let c(y) = -y**2 + 9*y - 8. Suppose -3*b + 16 = x - 12, -5*x = -5. Let l be c(b). Let i(n) = -n - 4. What is the least common multiple of 5 and i(l)?
20
Suppose -2*q = -2*h - 6*q - 206, 4*q = -5*h - 491. Find the common denominator of 315/(-16)*38/h and 41/7.
56
Let d(k) = k**3 + 5*k**2 + 3*k - 1. Let f be d(-4). Suppose 0 = f*x + x - 40. What is the least common multiple of (3 + -23)*5/(-20) and x?
10
Let k(p) = -p**3 + 12*p**2 + 7*p + 19. Let y be k(13). Calculate the common denominator of -69/8 and (y - 10)*(-2)/4.
8
Let b = -497/4 + 120. Find the common denominator of b and 13/33.
132
Let i = 10356/223 + -12843251/276074. Find the common denominator of 63/8 and i.
4952
Let a = -66 - -67. What is the lowest common multiple of (1 - 12/20)*25/a and 16?
80
Let g = 133517/48 + -2780. Find the common denominator of 133/6 and g.
48
Let f be (-85 + -7)*(-2)/(-71). Let q = 16331/6603 + f. Let t = -8977/372 + q. Calculate the common denominator of 6/7 and t.
28
Suppose -2*a + 4 = -12. Suppose -4*n + 101 = -195. Suppose 86 = 5*d - n. What is the lowest common multiple of a and d?
32
Let y be (-1)/(0 - 1) - (0 + -2). Suppose -z - y*z + 232 = 0. What is the lowest common multiple of 2 and z?
58
Let m be (-73446)/(2/(-1 + 0)). Let w = 1982965/54 - m. Calculate the common denominator of w and -93/20.
540
Let a = -11173/2 - -201173/36. Find the common denominator of -7/32 and a.
288
Let z(b) = 6*b - 1. Suppose 3*y + 104 - 136 = 4*p, -p + 11 = 4*y. What is the smallest common multiple of y and z(1)?
20
Let s = 2/2641 + -200722/7923. What is the common denominator of s and 47/3?
3
Suppose 504 = 12*a - 504. What is the least common multiple of 96 and a?
672
Let l be (-7491)/9 + (-10)/15. Let f = 8373/10 + l. What is the common denominator of f and -73/75?
150
Let u(a) = 5*a**2 + 2*a + 1. Suppose -10*r + 8 = -6*r. What is the least common multiple of r and u(-1)?
4
Let v = 2435 + -2259. What is the smallest common multiple of v and 208?
2288
Suppose -2*o + 1839 = -v + 9, 5*v - 3674 = -4*o. Calculate the lowest common multiple of 10 and o.
4580
Let t = -19 + 22. Suppose -5*l = -t*d - 126, -2*d - 18 = -2*l + 34. Suppose l = 5*r - 6. Calculate the lowest common multiple of r and 2.
6
Suppose 0 = 13*a - 266 - 358. What is the lowest common multiple of 8 and a?
48
Let v(q) = -q + 1. Let h be v(-4). Suppose -i - 7 = 2*r, h*i - 3*r + 16 = -19. What is the common denominator of 59/6 and i?
6
Suppose 377 = -3*s + 4*h, 0 = -6*s + 4*s + 2*h - 250. Suppose 1 = 2*n - 5. Find the common denominator of 2*(s/30 + n) and 73/6.
30
Let v = 2189/126 + -5/126. Find the common denominator of v and -32/175.
525
Let a(i) = 81*i + 25. Let g be a(-11). Calculate the common denominator of g/532 + (-10)/(-35) and -93/4.
76
Let w be (-94)/(-6) + 2 + 5/15. Let s = 49 - w. Calculate the lowest common multiple of 1 and s.
31
Suppose 0 = 7*y - 6*y + 20. Calculate the smallest common multiple of 18 and 6/(-2)*y/(-2 - -6).
90
Let w = -4026/13 + 113131/364. Calculate the common denominator of -11/70 and w.
140
Let t = 19369/4 - 4848. Let a = -4371/4 + 1077. Calculate the common denominator of a and t.
4
Suppose 10*j + 3*j - 572 = 0. What is the lowest common multiple of j and 32?
352
Suppose -3*u + 11*g - 100 = 6*g, 116 = -4*u - 2*g. Let b = 110903/22 - 5036. What is the common denominator of (1 - u)*2/(-12) and b?
66
Let p = 137 - 128. What is the smallest common multiple of p and 15?
45
Suppose 0 = -4*c - 29 - 3. Calculate the common denominator of 113/10 and (-1)/1 + c/(256/180).
40
Suppose -2*s + 18 = 2*l + 2, -s = -4*l + 42. Calculate the lowest common multiple of 20 and l.
20
Let r = -45283/20 + 2261. Suppose -3895 = 13*c - 723. Find the common denominator of r and (-6)/33*1*c/(-16).
220
Let s = 2143886/65095 - 1548/47. Let d = -137123/5540 - s. What is the common denominator of d and (-26)/(-8) - (3 + -2)?
4
Let u = -1676429 - -3213207/2. Let t = u - -67011. Let v = 8500/3 + t. Find the common denominator of v and 31/20.
60
Let x(c) = c**3 + c + 18. Suppose 4*a + a = 0. Let d be x(a). Find the common denominator of -37/12 and (-85)/d - (9 + -7).
36
Let s = -155 + 177. What is the lowest common multiple of 7 and s?
154
Suppose -2*x + 3*j = -j - 476, 238 = x - 5*j. Calculate the least common multiple of x and 6.
714
Let g(n) = 67 - 34 - 44 - 21 + n. Let u = 19117/6 - 3199. Calculate the common denominator of g(18) and u.
6
Let s = 162 + -74. Let n = -1171 + 1191. Calculate the least common multiple of n and s.
440
Let v = -284905/18 + 15833. What is the common denominator of v and (-2 - (-214)/20) + 1?
90
Let m = 54 + -50. Suppose -16 - 48 = -m*q. What is the lowest common multiple of q and 12?
48
Let n = -1/3852 - -49115/7704. Let x = 55714/5 - 11195. Let q = x - -1597/35. Find the common denominator of n and q.
56
Let v = -1892/19 + 121525/1216. Calculate the common denominator of v and 23/128.
128
Let u(k) = k**3 - 4*k + 2. Suppose 5 = r - 5. What is the smallest common multiple of r and u(2)?
10
Let n = -85 - -100. Suppose -2*h - 200 = 3*h. Calculate the smallest common multiple of 6 and 1 - h/n*3.
18
Let r(n) = -n**3 - 13*n**2 + n + 16. Let a be r(-13). Suppose a*s - 16 = 29. What is the lowest common multiple of s and 33?
165
Calculate the common denominator of -137/30 and (152/5)/(-8)*9/66.
330
Let z(g) = -g**3 + 4*g**2 - g + 4. Let r be (-42)/(-2)*(-5)/(-15). Let y be (-9)/6 + r/2. Calculate the lowest common multiple of 8 and z(y).
40
Suppose 2*a + 2*l + 154 = -2*a, -l = -5*a - 196. What is the common denominator of a/(-4)*42/(-35) and -85/2?
10
Let g be 1/7 + 187375/(-55818). Let x = g + -1/3987. Let l = 3/5557 - -572353/33342. Calculate the common denominator of x and l.
42
Find the common denominator of ((-627)/(-22))/(37 - -8) and -127/240.
240
Let f(q) = -q**3 - 7*q**2 - 4*q + 4. Let y be (2/6)/(5/(-45)). What is the common denominator of -54/7 and f(y)?
7
Let f(z) = -z**2 + 4*z + 5. Let h(a) = -a**2 - 10*a + 5. Let p be h(-10). Let i be f(p). Let b = 18 - i. What is the lowest common multiple of b and 2?
18
Let m = 35/12 + -5/3. Let w = 10007/18 - 556. What is the common denominator of w and m?
36
Let s = -22 + 34. Let w be (-204)/(-9544)*(-8002)/s. Let f = 4/1193 + w. Find the common denominator of f and -75/2.
4
Suppose 0 = j - 3*j. Suppose j = -4*f - 51 - 1. Find the common denominator of (-4)/(-66)*(-1653)/38 and f.
11
Let r = -59 + 665. Let b be r*(2 - 48/27). Let j = b - 125. Find the common denominator of j and -97/6.
6
Let n(i) = -i**3 - 10*i**2 - i + 34. Let h be n(-11). Let l = -490/3 + h. Let c = -31 + 94/3. Find the common denominator of c and l.
3
Let u = -1/89563 + -6896007/30809672. What is the common denominator of u and -139/72?
3096
Let x = 13151/16500 - -3/500. Find the common denominator of x and -115/42.
462
Let r(b) = b - 9. Let h be r(20). Suppose 5*u - 2*c - 26 = 0, -u - h = -3*u + c. What is the lowest common multiple of 4 and u?
4
Calculate the common denominator of (-895)/120 - 32/(-8) and 19/64.
192
Let g = -27 - -3. Let t = 25 + g. Suppose 0 = 2*x 