ommon multiple of (4 - 2) + 3 + (-23)/(-1) and 38?
532
Suppose -3*q = -7*r + 4*r + 3, 2*r - 5*q + 7 = 0. Suppose 0 = -s - r*j - 7 + 19, -3*j = -s + 12. Calculate the least common multiple of s and 7.
84
Let q(i) = -i**3 + 33*i**2 + 161*i - 16. Calculate the least common multiple of 51 and q(37).
7905
Let s be ((-3)/4 + 2)*4. Suppose -5*q - 40 = -2*q - s*d, 4*d + 49 = -3*q. Calculate the common denominator of -1/20 and (-286)/(-12) + q + 15.
60
Let q be -2 - -10*(-97924)/(-208). Let r = -4705 + q. Calculate the common denominator of 101/22 and r.
286
Let k = -768 + 771. Calculate the smallest common multiple of 226 and k.
678
Let p(v) = -4*v + 27. Let g(w) = 4*w - 27. Let r(y) = -6*g(y) - 5*p(y). Let x be r(9). What is the smallest common multiple of 34 and (-160)/x - 2/(-9)?
306
Find the common denominator of ((-306)/(-30) - 10)*(-82)/(-4) and -109/72.
360
Find the common denominator of 59/285 + (-5)/(-50) and -13/6.
114
Let g(b) = 22*b + 65. What is the least common multiple of 24 and g(4)?
1224
Suppose k - 103 = 4*f, 6*f + 2*k + 118 = 2*f. Let u = f - -36. Suppose 0 = -5*b + 5*y + 30, 4*y + 7 = -4*b - 1. What is the lowest common multiple of b and u?
18
Suppose -45 = h - 11. Let j(i) = 3*i**2 - 2. Let s be j(2). What is the common denominator of (h/(-32))/((-2)/s) and 83/12?
48
Let f = -18281 + 219499/12. Calculate the common denominator of f and 968/(-12)*(-3)/(-36).
36
Let t = 2539/216 - 307/24. What is the common denominator of 56/297 and t?
297
Suppose 0 = -r + 4*r + 9. Let m be -3 - (r + -3) - 4. What is the smallest common multiple of 11 - (m - -2*2) and 7?
56
Suppose -16 - 14 = -4*k + 14. Suppose 3*s - 3 - 24 = 0. Calculate the lowest common multiple of k and s.
99
Let w(c) be the second derivative of 5*c**3/3 - 13*c**2/2 - 6*c. Let z be w(4). Let b = z - 17. What is the common denominator of -11/9 and b?
9
Let n(z) = -21*z**3 - 3*z**2 + z. Let c be n(2). Calculate the lowest common multiple of c/(-14) - (-2)/7 and ((-3)/(-6) - 1)*-12.
78
Suppose 3*d - 8 = d. Suppose -4*a = d - 16. What is the common denominator of -48/5 and (-3 + 11)*1*a?
5
Let n be (-90)/(-4) - (-11)/(-22). Calculate the common denominator of 2439/198 + 4/n and 78/(-5)*9/(-12).
10
Calculate the common denominator of -51/70 and 653/(-273) - ((-4)/(-26))/(-1).
210
Find the common denominator of 9/(-5400)*-1052 - 2/(-12) and 16/55.
275
Let a(n) = -n. Let j be a(-3). Suppose z - g + 5 = 2*z, -j*g = -2*z. Calculate the lowest common multiple of ((-9)/z + 4)*20 and 8.
40
Let i = -47 + 23. Let r = -49 - i. Calculate the common denominator of -7*(-2 - r/12) and 51/4.
12
Suppose 13 - 117 = -j. Suppose 3*g + 168 = -5*z - 8, g + j = -3*z. Calculate the common denominator of z and ((-29)/(-3))/((-4)/10).
6
Suppose -12*j - 1900 = -31*j. What is the lowest common multiple of 25 and j?
100
Let k = -11 + 19. Suppose 2*z - 9 - 23 = 0. What is the lowest common multiple of k and z?
16
Let j(u) = -17*u + 643. Calculate the least common multiple of j(35) and 32.
96
Let j be 0 + (1 + 4/(-6))*12. Calculate the common denominator of 75/52 and 105/j + (-9 - -8).
52
Let i = 3163/10 + -316. Find the common denominator of i and 9/8.
40
Let l(u) = u**2 + 5*u + 8. Let j(h) = -2*h**2 - 11*h - 15. Let q(r) = 3*j(r) + 5*l(r). Calculate the smallest common multiple of q(-5) and 20.
20
Suppose -7*y + y + 24 = 0. Suppose 0 = -y*j + 24 + 40. Suppose 0 = 2*t - 4*t + 16. Calculate the least common multiple of j and t.
16
Let m = 4 - -8. Let a = 2 + 2. Suppose -p - a*j = -11, 3*p - j = j + 5. What is the lowest common multiple of p and m?
12
Let j be 5834/(-8) + -17 + 15. Let f = 752 + j. What is the common denominator of 47/50 and f?
100
Let h = 371965/18 - 20671. What is the common denominator of h and -39/38?
342
Let z = 81869/58400 - -8/1825. Find the common denominator of z and -61/22.
352
Let v(p) = p**3 + 10*p**2 + 8*p - 5. Let l be v(-9). Let s be (l/(-3))/(7/(-315)). What is the common denominator of 16 and 417/s + 4/16?
5
Let g be (-3)/(3 + 20/(-5)). Suppose -7*k = -g*k - 128. What is the least common multiple of k and 20?
160
Let l = 26185751/10 - 2613200. Let z = 6490 + -11872. Let r = l + z. Find the common denominator of 103/10 and r.
10
Suppose -3*s + 4 = j - 3, 3*j = -3*s - 3. Let f be 0/(3 + -5 + 1). Suppose -19*x + 3*x + 32 = f. What is the lowest common multiple of s and x?
4
Suppose 5*x - 54 - 1 = 0. Suppose 25*s - x = 14*s. Calculate the lowest common multiple of 141 and s.
141
Let m = 1873 + -591. Let g = -418 + m. Let i = g - 3511/4. What is the common denominator of 21/2 and i?
4
Let y = -113/98 - -4187/784. Let k = 35/153 + -5903/612. What is the common denominator of y and k?
48
Let l = -92/549 - -28009/10980. Calculate the common denominator of 55/12 and l.
60
Let f = -19959 - 10562. Let o = 2319561/76 + f. Find the common denominator of o and 89/22.
836
Let k(x) = -x**3 - 5*x**2 + 4*x - 2. Let l be k(-6). Let w(b) = -10*b. Let h be w(8). What is the common denominator of (l/(-15))/(h/402) and 47/22?
220
Let f(j) = -j**3 + 15*j**2 + 8*j - 39. Calculate the least common multiple of 81 and f(15).
81
Let w = 18655/1884 - -7/471. Suppose -26817 = -4*b - o, -b - 3*o + 13421 = b. Let c = b - 147417/22. Find the common denominator of c and w.
132
What is the least common multiple of (3 + -2 - (-9 - -7))*5 and 90?
90
Let b = -547 + 587. Calculate the least common multiple of 45 and b.
360
Let y(c) = 2*c**2 - 35*c + 5. Let x be y(17). What is the common denominator of -2 + -1 - ((-206)/x - 4) and ((-4)/(-22))/(2/19)?
66
Suppose -4 = 2*c - 3*c. Suppose -19 = -c*g + 13. Calculate the least common multiple of g and 2.
8
Let y = 7 - -49. Calculate the smallest common multiple of y and 7.
56
Suppose -2*r + r + 5*i + 1 = 0, -r - 5*i = -1. Suppose -q + 0*q - y + r = 0, -5*y - 20 = 0. What is the least common multiple of q and 8?
40
Let w = -175 + 212. What is the least common multiple of w and 7?
259
Find the common denominator of -9/2 and 1062/(-224) - -2 - (46 + -49).
112
Let r = 1693/2 + -834. Let b = 1055/3 - 11668/33. Calculate the common denominator of b and r.
22
Let h = 4015/4 - 1020. Let x be (-2)/4 - (-572)/8. Find the common denominator of h and (x/5)/((-6)/(-15)).
4
Let q = 2041/6 + -341. Let p(x) be the third derivative of -x**5/60 + x**4/4 + 2*x**3 + 5*x**2. Calculate the common denominator of p(11) and q.
6
Let c = 5089/4 + -1291. Let i = 43/10 + 233/40. Find the common denominator of i and c.
8
Let i(m) = m + 9. Suppose 4*y + 19 - 7 = 0. What is the least common multiple of i(y) and 4?
12
Let b = -1 + 1. Let n = 237 - 234. Suppose b = n*a - 24 - 0. Calculate the lowest common multiple of a and 12.
24
Let f = -463805/56 - -8282. Find the common denominator of -97/6 and f.
168
Suppose 0 = 3*o + 5*h + 1, 2 = -3*o + 4*h - 8. Let r(w) = -w**3 - 2*w**2 - 3*w - 2. Calculate the smallest common multiple of 9 and r(o).
36
Suppose 0 = 2*w - 2*h - 24, -w + 3*h - 6*h - 8 = 0. Find the common denominator of -9/17 and w + -10 - (53/2 + 3).
34
Let w = -28 - -53. What is the common denominator of w/2*49/(-140) and 137/12?
24
Let j(a) = -a**3 + 4*a**2 + 15*a - 5. What is the smallest common multiple of j(6) and 9?
117
Let t = 400366493/654 + -612181. What is the common denominator of -101/8 and t?
2616
Let b(l) = 3*l**3 + l**2 + 2*l - 2. Let y be b(1). What is the lowest common multiple of 6 and y/(-12) + -2*33/(-9)?
42
Let m = 455472 + -142107419/312. Find the common denominator of m and 89/78.
312
Let v(y) = y**2 - 1. Let d(c) = c**3 - 11*c**2 - c + 13. Let s(m) = -d(m) - 6*v(m). Let l be s(5). Find the common denominator of 63/20 and 354/(-84) + (l - 1).
140
Suppose -v + 4*a - 19 = -0*v, 3*a - 24 = 4*v. Let m(f) = f**3 + 3*f**2 - 3*f + 2. What is the smallest common multiple of m(v) and -1 + 0 + 15/3?
44
Let t be 0 + (-737)/(-18) + -2. Let y = t + -6299/180. Calculate the common denominator of 7/1 + (-4)/16 and y.
20
Let v(o) be the third derivative of -o**4/24 + 2*o**2. Suppose -1 = 5*m - 4*y - 7, 4*m - 2*y = 6. Calculate the lowest common multiple of v(-6) and m.
6
Let r = 19706 - 1596221/81. What is the common denominator of r and -50/9?
81
Let k(j) = j + 11. Let l be k(-11). Let g = l - -2. Let u(f) = 2*f**2 - 4. Calculate the smallest common multiple of g and u(-2).
4
Calculate the