**2 + 39*h - 22. Let c be j(19). Find the common denominator of 9/3 - c/540*-1047 and 121/12.
60
Let q = 27728/9933 + -14/473. Calculate the common denominator of ((-59)/(-33))/(-13 - -12) and q.
231
Let c(l) = -468*l**3 + 4*l**2 + 218*l + 638. What is the lowest common multiple of 8 and c(-3)?
12656
Let h(n) be the first derivative of -1/2*n**2 + 19*n - 19. Calculate the smallest common multiple of h(9) and 17.
170
Suppose 3*y = 5*p - 1643, 4*y - 29*p + 2181 = -32*p. Find the common denominator of ((-34)/12)/(10 - y/(-56)) and 7/39.
39
Let a(c) = -c**3 - 13*c**2 - 11*c - 12. Let q be a(-12). Let s(n) = -7*n - 7. Let r be s(5). Let i = q - r. Calculate the smallest common multiple of i and 22.
198
Let m(q) = q**3 + 5*q**2 - 32*q - 123. What is the least common multiple of m(-7) and 12?
12
Let d(c) = c**2 + 4*c + 35. What is the lowest common multiple of d(-5) and 920?
920
Let h = 3/12149 - -299084/18794503. Find the common denominator of 151/2380 and h.
30940
Suppose 7497 = -3108*i + 3159*i. Calculate the smallest common multiple of 273 and i.
1911
Suppose 166*h - 169*h - 99 = 0. Let l = 49 + h. Suppose -11*n = -l*n + 180. What is the smallest common multiple of 8 and n?
72
Calculate the least common multiple of 856 and (-19 + -3 + 23)/((2 - -1)/96).
3424
Suppose 6*x + x = 28. Let g(k) = -20*k - 10 + 8*k + 16*k. What is the least common multiple of g(3) and x?
4
Let m(p) = 7*p - 3 + 2*p**3 - p**3 - 5*p**2 - 7. Let q be m(4). What is the common denominator of (-6)/(36/249) - (0 - q) and -91/30?
30
Suppose 30*a = 81*a - 2448. Let w = -68 - -148. Calculate the smallest common multiple of a and w.
240
Let w(j) = 18*j + 5. Let q be w(-3). What is the common denominator of (-305)/(-42) - (-21)/q and -4 - 146/24 - -6?
12
Calculate the common denominator of 5/48 and ((-4)/(-80))/((-94120)/(-30225)).
17376
Suppose 4*h = -5*a + 571, 3*a + 3*h = 157 + 188. Find the common denominator of (-6)/(288/a)*-2 and -14/27.
216
Let r(k) = -k**3 - 13*k**2 - 17*k + 21. Let j be r(-12). Suppose 0 = -14*i - 53 + j. Let s = 40 - 24. What is the least common multiple of i and s?
16
Let r(t) = -t**3 + 11*t**2 - 14*t + 16. Let g be r(9). Suppose -3*b = -7*b + g. Calculate the smallest common multiple of 4 and (-1 - 4) + b/1.
8
Let j(g) = -2*g - 44. Let z(u) = -43. Let p(c) = 2*j(c) - 3*z(c). Calculate the least common multiple of 11 and p(10).
11
Let w = 26322788/17 + -1331906339/850. Let g = w - -18551. Find the common denominator of -2/75 and g.
150
Suppose 56078 + 33697 = 128*o + 43*o. What is the least common multiple of 805 and o?
12075
Calculate the common denominator of 113/230 and (-15)/(-4) + -4 + (-179)/(-84).
4830
Let l(f) = 237*f - 123. What is the lowest common multiple of l(4) and 231?
5775
Let s(b) = -b**3 - 2*b**2 + 13*b + 2. What is the least common multiple of 20 and s(-5)?
60
Let n(s) be the second derivative of 11*s**3/3 + 11*s**2/2 - 36*s. What is the smallest common multiple of n(2) and 15?
165
Let q be (-36)/14*(6 - (1 + -2)). Find the common denominator of 93/16 and -10*(-9)/q - 335/(-46).
368
Let u be (31/(-4154))/((-10)/(-4)). Let w be (1 + 0)*(-18455)/10050. Let c = w - u. What is the common denominator of 57/5 and c?
30
Let b = -5517866993455/2464272489954 + 247/35042198. Let c = -7/2131 + b. Find the common denominator of c and -80/33.
33
Suppose 67 = 4*d + 47. Suppose -2*g - 4*y = -6*y + 30, -4*y = 4*g + 100. What is the common denominator of 1/d + 249/g and 145/6?
12
Suppose -2*p + 45707 = -5*f, 5727 + 3416 = -f + 2*p. Let c be 1 - 0 - 182694/20. Let z = c - f. Find the common denominator of z and 51/29.
290
Let a(s) be the second derivative of -41*s**3/3 + 22*s**2 - 7*s. Let z be a(6). Let k = z + 2202/5. Find the common denominator of k and -31/2.
10
Let y be ((-2)/4 + 1)*(-4454)/(-1). Let x = y - 22289/10. What is the common denominator of 65/14 and x?
70
Let y(x) = 3*x**2 + 15*x + 2. Let z be y(-4). Find the common denominator of ((-2211)/(-440))/(12/z) and 16/11.
176
Let p = 21617414/51 + -423884. Let k = -6485/306 - p. Find the common denominator of k and -127/96.
288
What is the least common multiple of 702 and ((-48)/(-20))/(28/10010)?
7722
Let d(h) = -39*h - 7. Let q be d(-2). Suppose 51 = 4*j + l, 4*j - 4*l - q - 5 = 0. What is the common denominator of -1 + (-154)/(-4) - (15 - j) and -83/4?
4
Let w be ((-292)/(-8))/(2/50). Let f = w - 11009/12. Calculate the common denominator of -11/12 and f.
12
Let z be (-4)/16 - (-10995)/12. Let v be (0 + z/(-8))*2. Calculate the smallest common multiple of 27 and v/(-11) + 46/11 + -4.
189
Let b(u) = 10*u - 374. Let m = 223 - 73. What is the smallest common multiple of m and b(39)?
1200
Let a be 15 + -21 + 3*-1. What is the least common multiple of 146 + a + (-2)/6*3 and 16?
272
Let z(j) = -j - 5. Let s be z(-10). Suppose s*b = -w + 6, -3*w + 11 + 7 = -2*b. Calculate the smallest common multiple of (14/4)/((-14)/8 - -2) and w.
42
Calculate the common denominator of 85/2 and ((-3104)/(-10670))/(118/(-5)).
1298
Let f = -708 - -1005. Suppose 17 - f = -10*g. What is the smallest common multiple of 12 and g?
84
Let h = -35 + 41. Let k(a) = -3*a - 2*a + h*a + 33 - 3. What is the least common multiple of 18 and k(-15)?
90
Let r = 2369 - 2299. Let a = -192 + 269. What is the least common multiple of a and r?
770
Suppose -528*y - 64320 = -568*y. Calculate the least common multiple of 12 and y.
1608
Let n(f) = -37*f**2 + 6*f - 5. Suppose q - 1 = -4*k, 3*q + 3*k = 1 + 2. Let y be n(q). Find the common denominator of (-834)/120*2/(y/15) and 1/12.
24
Find the common denominator of 1796/(-4386) + (-8)/68 and 19/237.
10191
Let i = 9265322 + -185375777/20. Let v = -3464 - i. What is the common denominator of -11/10 and v?
20
Let s = -359 + 406. Let p(m) = 6*m - 222. What is the smallest common multiple of p(s) and 96?
480
Calculate the lowest common multiple of 156 and 6 - (-16 - (940 + -2)).
12480
Let z(t) = -t**2 + 10*t - 7. Suppose 87 = -186*f + 215*f. Calculate the lowest common multiple of f and z(5).
18
Let l = 21830/390003 - -2/5493. Let h = 6793/852 - l. Find the common denominator of h and -41/60.
60
Let b be (-151)/295*(-498)/88. Let l = b + -231/295. What is the common denominator of 43/28 and l?
308
Let q = 16/363 + 16421/14520. Find the common denominator of q and 121/380.
760
Calculate the smallest common multiple of 3 and ((-330)/(-8))/((-193)/(-3860)).
825
Let v = -427 + 671. Calculate the lowest common multiple of v and -2*(4 + 0)/(-1).
488
Let i = -488587 + 2427317/5. Let j(f) = -127*f**2 - 5*f + 16. Let n be j(-5). Let o = i - n. Find the common denominator of -6/95 and o.
95
Let r(t) = -401*t**3 - 4*t**2 - 4*t - 1. What is the smallest common multiple of r(-1) and 1220?
24400
Let z(y) = -19*y + 1384. Calculate the lowest common multiple of z(70) and 378.
378
Let z be 8/2340*8031/28. Let c be (0 + 5/3)*10/(-875). Let n = z + c. Find the common denominator of n and 23/2.
26
Let p(f) = 60*f + 705. What is the least common multiple of p(-10) and 189?
945
Suppose 4*d - 207 = -3*h, 210 = -3*d + 7*d + 2*h. Calculate the lowest common multiple of 27 and d.
54
Let n be (9/66)/((-8605)/2). Let w = n - 8045333/10790670. Calculate the common denominator of -5/42 and w.
798
Suppose -2*c = -4*i - 12 - 2, -2*i - 22 = -4*c. Suppose -3*j + 328 = 5*j. What is the common denominator of (-6)/(-8)*(c + j/(-21)) and -1/32?
224
Let q = 11727739053/1269256240 + -17/9543280. Let g = q + 8/133. What is the common denominator of 24 and g?
10
Suppose -47*t = -50*t - 12. What is the common denominator of t + 625/60 - -6 and 12/16*-46 - 2?
12
Suppose -21*i + 25*i - 20 = 0. Suppose -i*j = -26 + 11. Find the common denominator of 109/6 and j/15*1300/(-24).
6
Let b = -74 - -128. Suppose -3*o - b = 153. What is the common denominator of 1 + o/(-126)*5 and 53/18?
126
Let b = 17912 - 1289699/72. Find the common denominator of b and 133/288.
288
Let i = -5769 + 9146. Calculate the least common multiple of i and 921.
10131
Let s = -352 - -1249/2. Let l = s - 8167/30. Find the common denominator of l and 52/5.
15
Suppose -2*w - 10 = -24. Suppose -19*n + 17*n + 132 = 0. Suppose 62*c - n*c = -12. What is the smallest common multiple of w and c?
21
Let u(s) = -2*s**2 - 11*s + 61. Let z be u(-9). What is the smallest common mul