40
Suppose -4*g - c - 4 = 17, 3 = 2*g + 5*c. Calculate the common denominator of (10/g)/((-2)/25) and 41/9.
18
Let h = 13 + 30. Find the common denominator of h and -103/24.
24
Let t be ((-6)/22)/(5157/(-18)). Let m = 86137/4202 + t. Calculate the common denominator of m and ((-14)/3)/(6/(-4)).
18
Suppose 46 = -2*c - 5*s + s, -5*c + 5*s = 130. Let g be (-10)/c - (-2928)/(-70). Let j = g - -347/7. Find the common denominator of j and -22/9.
63
Suppose 21 = -5*h + 2*w, 5*h + 2*w + 0*w + 9 = 0. Calculate the lowest common multiple of h/(-2) + (-3)/(-6) and 17.
34
Let x(f) = 3*f + 2. Let p be x(6). Let s = 67 - 37. Suppose s = 5*r - p. What is the smallest common multiple of r and 2?
10
Calculate the lowest common multiple of 6 and -4 + (-60)/(-5) - 3.
30
Suppose -2*x = 2*x - 60. What is the lowest common multiple of 18 and x?
90
Let j = -20/49 + -4811/98. What is the common denominator of j and 95/36?
36
Let d = -4431 - -48689/11. Find the common denominator of 5/8 and d.
88
Suppose -54 - 36 = -3*w. Let l(t) = -t**2 + 10*t + 3. Let i be l(9). Calculate the lowest common multiple of i/w - 108/(-5) and 10.
110
Let k(u) = u**3 + 3*u**2 + u + 3. Let v be k(-4). Let l = -5 - v. Calculate the least common multiple of l and 4.
12
Let q(o) = 4. Let r(u) = u + 4. Let f(c) = -2*q(c) + 3*r(c). What is the lowest common multiple of 2 and f(6)?
22
Suppose 3*m + 6*r = 3*r + 24, -m = -4*r - 3. What is the least common multiple of m and 3?
21
Let l be -3 - ((2 - -9) + 0). Let c = -3 - l. Let v(a) = -a**2 - 6*a + 7. What is the least common multiple of v(-6) and c?
77
Suppose 6 = -3*w, -w + 60 + 37 = 3*v. Suppose 12 = m - 0*q + q, 5*m - v = 4*q. Calculate the smallest common multiple of (6/12)/(3/30) and m.
45
Let r be 2 + -3 + (-20)/(-4). What is the common denominator of (-2)/42*(-51)/(-2) and r/22 - 4487/(-308)?
28
Let h = 15308 - 183589/12. Calculate the common denominator of h and -2 + 4 + 97/2.
12
Suppose -3*x + 601 = s, 2*x - 5*s - 528 = -116. Suppose -4*r = -x + 73. Calculate the least common multiple of r and 6.
96
Find the common denominator of 350/(-45) - (-2)/(-4) and 63/16.
144
Let a(s) = s**3 + 15*s**2 - s + 7. Calculate the least common multiple of 22 and a(-15).
22
Suppose 36 - 4 = 4*k. What is the least common multiple of k and 86?
344
Suppose 0 = 3*o + 4*c - 6, o = -3*o + 2*c + 8. Let i(q) = -5 - 2*q**o + 2*q + 4*q**2 - q**2. Calculate the smallest common multiple of 8 and i(-4).
24
Suppose -5*c = -f + 1, 5*f + 2*c = 125 - 12. Calculate the least common multiple of f and 30.
210
What is the common denominator of 40/9 and 224/(-360) - 2/(-5)?
9
Let d = 12 + 3. Find the common denominator of -41/16 and ((-35)/25)/((-54)/d).
144
Let r(a) = a**2 + 9*a + 12. Let m be r(-9). Calculate the common denominator of 37/6 and 4/m + 59/(-9).
18
Suppose 0 = -0*o - o + 7. Let f = -185 + 203. Calculate the lowest common multiple of o and f.
126
Let a = 9597/8 + -1196. Suppose -i - 2*b + 22 = 0, -82 = -3*i - 0*b - 2*b. Find the common denominator of a and i.
8
Let y(d) = d**2 + 7*d + 8. Let x(u) = -u + 6. What is the least common multiple of y(-7) and x(-4)?
40
Let o = 241/3 + -79. Let l(p) = -p**2 + 2*p + 2. Let u be l(-2). What is the common denominator of 32/(-2)*u/15 and o?
15
Let n = 17/2 - 29/6. Find the common denominator of n and (-332)/24 - (1 + -5).
6
Let r(x) = x**3 - 4*x**2 - 4*x - 5. Let l be (-2)/3 + 51/9. Let t be r(l). Suppose t = 5*c - 17 - 13. Calculate the least common multiple of 12 and c.
12
Let m = -40/3 - -403/30. Find the common denominator of -69/4 and m.
20
Suppose -5*y = 21 - 81. Suppose 0 = -6*k + 5*k + 4. Calculate the lowest common multiple of y and k.
12
Let s(a) = 1165*a**2 + 2*a + 1. Let y be s(-1). Let b = -3445/3 + y. What is the common denominator of b and 31/2?
6
Let x = -3171/28652 + 7/377. Let m = 3831/76 - x. Let u = -523 + 2673/5. Calculate the common denominator of u and m.
10
Let y(f) = f**2 + f + 3. Let m be y(0). Suppose 5*j - m*k - 25 = -6, -4*j + 3*k = -17. Find the common denominator of j + (-1 - 120/14) and 14.
7
Let v(q) = q**3 - 9*q**2 - 7*q - 26. What is the least common multiple of v(10) and 8?
8
Suppose 4*j - 16 = 4*p, 9*j - 4*j = 2*p + 14. Calculate the common denominator of 54/(-20) + (-4)/(-10) and ((-19)/(-8))/(-1) - j.
40
Let u(t) = -t**3 - 6*t**2 - t - 2. Let m be u(-6). Suppose -m*r + 18 + 22 = 0. Suppose 0*q - 27 = -3*q. What is the smallest common multiple of q and r?
90
Suppose -l + 2*l = 7. Calculate the lowest common multiple of l and 2.
14
Suppose 2*a = -0*a - 5*x - 24, -2*x - 14 = 3*a. Let y = 124157/12 - 10355. Calculate the common denominator of y and (-3)/(16/13 + a).
60
Let u(x) = x**2 + x + 1. Let a(n) = -20*n**2 + 3*n + 2. Let s(p) = -a(p) + u(p). What is the least common multiple of 18 and s(-1)?
198
Suppose -2*y + 45 = -3*w, -45 - 10 = -2*y + 5*w. What is the smallest common multiple of 10 and y?
30
Let q(k) = 2*k + 26. What is the least common multiple of q(-6) and 10?
70
Calculate the common denominator of 595/(-84) + (-2)/(-6) and 81/8.
8
Let l(s) = 5*s**2 + 2*s. Suppose -w - 2 = 3, 30 = d - 5*w. Suppose d*b - 70 = -0*b. Calculate the smallest common multiple of b and l(-2).
112
Let d(m) = -4*m**2 - 15. Let q(u) = -5*u**2 - 14. Let s(a) = -6*d(a) + 5*q(a). Calculate the lowest common multiple of (-4)/(-6)*24/1 and s(0).
80
Find the common denominator of -83/18 and 1/3 - 220/(-96).
72
Let w(a) = -10*a - 6. Let f be w(-3). Suppose 3*o - 22 = -3*h - o, -2*h = -2*o - f. Let s = -2 - -8. Calculate the lowest common multiple of s and h.
30
Let f = 17 - 7. Suppose -3*w + 3*r + 48 = 0, 2*w - 2*r = -w + 52. What is the least common multiple of w and f?
20
Let c(u) = u**2 + 9*u + 5. Let v = -9 + 12. Calculate the least common multiple of v and c(-9).
15
Let o be ((-12)/8)/((-1)/(-2)). Let v = 6 + o. Let n(h) = 2*h - 1. Calculate the smallest common multiple of n(v) and 11.
55
Find the common denominator of (-189)/60 + 3/(-1) and -19/6.
60
Let n = 1/20697 + 386333/227667. Find the common denominator of n and 43/45.
495
Let q(x) = -2*x**3 - 10*x**2 - 4*x + 6. Let o be q(-8). Let v be (-388)/(-28)*o/18. Let j = v + -2222/7. Calculate the common denominator of -7/2 and j.
18
Let f = -1331/2 + 651. Let d be 3/12 - 2675/(-4). Let y = -5367/8 + d. What is the common denominator of f and y?
8
Let k = -84 - -24. Let w = 10723 + -107139/10. Find the common denominator of 184/k*3/4 and w.
10
What is the common denominator of -61/30 and 6/(-2*(-4)/(-30))?
30
Let i = 51 - 31. Suppose -19 = -5*t + 6. Suppose m = 19 - t. Calculate the lowest common multiple of m and i.
140
Let a(q) = -q**2 - q + 1. Let u be a(-2). Find the common denominator of (6/45)/(u/40) and 43/3.
3
Let s = -3367193773/18645 + 180595. Let h be 5/(-15) - (-1098002)/(-174020). Let m = s + h. What is the common denominator of -71/20 and m?
140
What is the least common multiple of ((-1)/3)/((-2)/24) and 1?
4
Calculate the common denominator of -31/8 and 1014/140 - (138/30 + -5).
56
Let j = 55949/20 + -2796. Find the common denominator of j and -125/12.
60
Let v(b) = b**2 - 8*b + 24. Calculate the lowest common multiple of v(10) and 48.
528
Let k = 23 + -16. Calculate the common denominator of (-198)/(-120)*k/(-3) and -61/12.
60
Let v = -5 - -8. Suppose -2*p = -v*p + 16. Calculate the smallest common multiple of (-4)/(-3*(-3)/(-36)) and p.
16
Let r = 7 - -1. What is the smallest common multiple of r and 5?
40
Suppose 2*r = -2*r - 11684. Let g = -58351/20 - r. Calculate the common denominator of g and 133/18.
180
Let v be -1 - (-2)/(4/(-2)). Let p = -4/1063 + -20109/23386. Calculate the common denominator of 70/(-9) - 1/v and p.
198
Let h = 1422 + -8453/6. What is the common denominator of (-430)/(-55)*2/8 and h?
66
Suppose f - 12 = -3*f. Suppose -4*q + 3*z + 96 = q, 20 = q - z. Suppose -5*c + q = 3*b, 4*b + 0*b - 24 = -f*c. Calculate the lowest common multiple of 20 and b.
60
Let v(i) = 3*i - 7. What is the smallest common multiple of 18 and v(6)?
198
Let j be (-15)/(15/12 - 3). Let u = j + -15/14. Calculate the common denominator of 12/7 and u.
14
Let m = 17 + -25. Let c = 19 + m. What is the smallest common multiple of c and 7?
77
Let l(o) = 6*o**2 + o + 2. Let i be l(3). Suppose -2*q + i = 23. Calculate the lowest common multiple of 2 a