r of 53/2 and (-54)/7 + 3/1?
14
Calculate the common denominator of 37/44 and (-828)/16*(-7)/21.
44
Let v = 48622151/9846 - 50499/547. Suppose -8246 = 4*a + 11126. Let c = a + v. What is the common denominator of c and -37/10?
90
Let o(a) = -a**3 - 15*a**2 - a - 12. Let y be o(-15). Suppose y*f = -2*f + h + 11, -2*f + 3 = h. Let t = 7 - 5. What is the lowest common multiple of t and f?
2
Let n be (-2 - (-7)/2)*-10. Let p be 14/(-3) + (-3)/9. Calculate the lowest common multiple of 28*(n/6)/p and 20.
140
Let m = -3672257/1092 + -80812/91. Suppose 8*v + 8510 = 6*v. Let h = v - m. Find the common denominator of -25/8 and h.
24
Let j = 17 - 9. Suppose -2*q + 1 = -15. What is the least common multiple of j and q?
8
Let z(u) = -u**2 - 2*u. Let o be z(-3). What is the common denominator of -1 + o/((-54)/(-52)) and -11/10?
90
Suppose 2*m = 2*a - 36, 5*m + 38 = 4*a - 56. Calculate the common denominator of ((-438)/(-8))/((-18)/6 - -6) and m.
4
Let v = 15388 - 184525/12. Calculate the common denominator of v and 11/12.
12
Suppose 0 = 11*n - 14*n + 45. What is the least common multiple of n and 15?
15
Let f(h) = h**2 - 1. Let m = 7 - 4. Suppose -11 = -m*t + 2*t. Calculate the least common multiple of t and f(2).
33
Let y(j) = j**3 - 7*j**2 + 15*j - 13. Let s = -3 + 5. Calculate the lowest common multiple of s and y(5).
12
Suppose -c - 16 = -5*g, 0*c + c - 8 = -3*g. Suppose -g*y + 12 = -0*y. Calculate the lowest common multiple of 10 and y.
20
Let w be 106/14 - 18/(-42). Calculate the common denominator of ((-3)/18)/(w/(-282)) and -49/22.
88
Suppose 0 = 3*x - 11 - 16. Suppose -t + 2*o + 3 = -1, 0 = -5*o. Calculate the least common multiple of 8*2*x/12 and t.
12
Let i(z) = -27*z**3 + z - 1. Let f be i(1). Let p = f - -49. Calculate the lowest common multiple of p and 8.
88
Find the common denominator of (-121)/10 + 2/4 and (-12)/(-9)*18/21.
35
Suppose -822 = 3*k - 2*z + 3*z, -z + 816 = -3*k. Find the common denominator of 1 - (-3 + k/6) and 137/12.
12
Suppose 2*q = -2*q + 64. What is the smallest common multiple of q and 12?
48
Let l(a) = -a**3 - 2*a**2 - 4*a - 3. What is the lowest common multiple of 14 and l(-3)?
126
Let w be (8577/(-12))/((-7382)/71). Let x = w + 2/3691. What is the common denominator of 33/7 and x?
56
Let u = 46 + -30. Let r = -1 + 17. Calculate the smallest common multiple of u and r.
16
Let x(f) = -f + 3. Let k be ((-4)/(-8))/((-2)/32). What is the least common multiple of 3 and x(k)?
33
Let w = 75677/60 - 3775/3. Calculate the common denominator of ((-19)/15)/((-24)/(-100)) and w.
180
Suppose 3*p = 5*b + 2, 4*b - 12 = -2*p + p. What is the lowest common multiple of 8 and p?
8
Let m = 569593/102416 + 6/6401. Find the common denominator of -39/38 and m.
304
Let x(r) = r**3 - 2*r**2 + 2*r - 1. Let v be x(2). Find the common denominator of (-2)/v + (-610)/(-960) and -5/12.
96
Let l = 4593/8 - 577. Find the common denominator of -33/2 and l.
8
Suppose -3*y + 8 = 2. Suppose y*b = -2*b + 12. Find the common denominator of b/12 - 41/(-16) and 59/18.
144
Calculate the common denominator of 31/14 and (-37)/10 + (-12)/8*2.
70
Let f = -14 - -24. Let d be (-18)/(-14) + 4/(-14). Calculate the least common multiple of f and ((-4)/(-4))/(d/2).
10
Let a = 14/8779747611 - 604307101686629/127956041682714. Let q = -4/7287 - a. What is the common denominator of q and -37/2?
18
Let p(a) = a**2 - 7*a - 2. Let m be p(6). Suppose 5*d + 3*o = 37, -2 = 4*d - 2*o - 14. What is the smallest common multiple of d and (-1)/(-4) + (-54)/m?
35
What is the smallest common multiple of 168 and (6 - (-65)/(-15))*6/5?
168
Let c(q) = 15*q**2 - 3*q + 2. What is the lowest common multiple of 6 and c(1)?
42
Suppose -2*a - 3*a - 7630 = 0. Let p be 1*-4149*2/a. Let w = 1/109 - p. Find the common denominator of w and -56/9.
63
Let p = 1055/2 + -517. What is the common denominator of 85/45 - (-5 - -1) and p?
18
Let b = -6 - -9. Suppose 8 = 5*t + b*m, 2*t - 3*m = -2*t + 28. Calculate the smallest common multiple of 1 and t.
4
Let v(c) = -261*c**3 - c**2. Let q be v(-1). Suppose 0 = k + 4*k - q. Let t = -32 + k. What is the least common multiple of t and 20?
20
Let z = -1/80 - 1037/240. Let h = 5671/7 - 817. Calculate the common denominator of h and z.
21
Let k(a) = -5*a + 7. Let c be k(6). Let v = -9 - c. Calculate the smallest common multiple of v and 20.
140
Let a(t) = t**3 + 2*t**2 - 2*t - 2. Let q be a(-2). Let s = q + -5. Calculate the common denominator of -43/4 and 417/144 - 2/s.
16
What is the common denominator of 3/5 and 2/12*(-219)/(-4)?
40
Let u(p) = -p**2 - 8*p + 4. Let y be u(-8). Suppose -5*i + y*s = -0*s - 11, -4*s = 2*i - 10. What is the lowest common multiple of 18 and i?
18
Let s(u) = u**3 - 3*u**2 + u - 2. Let i be s(3). Find the common denominator of i/(-6)*111/(-5) and -7/8.
40
Let j(p) be the third derivative of 3*p**6/40 - p**5/60 + 2*p**2. Calculate the lowest common multiple of j(1) and 6.
24
Suppose 3*v - 2*v + 6 = 0. Find the common denominator of 2/(-3) + 130/24 and v/18 + 290/(-12).
4
Suppose 2*z - 7*z = -160. Suppose -z = 3*q - 2*n, -5*q - 4*n - 24 = -0*q. Calculate the least common multiple of (q/(-10))/(2/10) and 2.
4
Suppose -a = -2*a. Let b be -2 - (a - 54472/2334). Let w = 2/389 - b. What is the common denominator of w and -44/7?
21
Let d = -66 - -82. Calculate the least common multiple of d and 14.
112
Suppose -12 = o + 5*d, 2*o + 0*d = 4*d + 32. Calculate the lowest common multiple of 12 and o.
24
Let t(k) = -4*k - 3. Let n(y) = -y**2 - 4*y + 3. Let q be n(-5). Let v be t(q). What is the lowest common multiple of 15/2 - v/(-10) and 12?
24
Let z = -881 - -8831/10. Let b = -4/71 - -1807/568. Calculate the common denominator of z and b.
40
Let i(p) be the first derivative of -p**3/3 + 4*p**2 + 2*p + 1. Let v(a) be the first derivative of i(a). What is the smallest common multiple of 6 and v(-6)?
60
Let z = 5 + -5. Let b(q) = -q**2 - 5*q - 4. Let n be b(-3). Let m = n - z. Calculate the lowest common multiple of m and 18.
18
Let q(s) = -9*s**2 + 5*s + 1. Let o(b) = -5*b**2 + 2*b. Let a(i) = -7*o(i) + 4*q(i). What is the least common multiple of 9 and a(6)?
36
Suppose 3 = -0*x + 3*x. Suppose 20 = 3*q - 3*t + 5, 0 = -5*q - 5*t + 25. What is the least common multiple of q and x?
5
Let r(v) = -v**3 + v + 3. Let w be r(0). Suppose -q + w = -2, b + 5*q - 30 = 0. Suppose 4*t = -0*t + 8. What is the lowest common multiple of b and t?
10
Let p = 1071/2 - 523. Find the common denominator of p and 24/31.
62
Let u(f) = f**3 - 16*f**2 - 15*f - 22. Let k be -1 + (4 - 3) + -1. What is the lowest common multiple of ((-8)/(-6))/(k/(-3)) and u(17)?
12
Let v be (-2)/((-112)/(-36) - 3). Calculate the common denominator of -1/2 and 172/v - (-9 + 7).
18
Let b = -13 + 21. What is the least common multiple of b and 14?
56
Let x = -589/490 + -44/49. Find the common denominator of -18 and x.
10
Suppose 5*y + 2*p = 20 - 70, -2*p - 10 = 0. Calculate the common denominator of -57/70 and (0 - 19/y) + 4.
280
Let t = -52 - -58. Let x = 22 + -14. Calculate the lowest common multiple of t and x.
24
Let m(b) = 4*b**2 + 4 + b**2 - 4*b**2 - b. Calculate the lowest common multiple of m(4) and 8.
16
Let q be 10027/(-35) + 3/15. Let t = q + 18316/63. Calculate the common denominator of 27/7 and t.
63
Let w(l) = 17*l**2 + 2*l - 1. Suppose -4 = -5*s + s. Let q be w(s). Calculate the common denominator of 109/10 and (-51)/q*(-6)/(-2).
10
Suppose 2*o = -4*a - 0*a, -3*a + 6 = 3*o. Calculate the least common multiple of 10 and o.
20
Let q = 9419/14 - 671. Let g(a) = -a**3 - 5*a**2 - 5*a + 4. Let u be g(-4). Calculate the common denominator of (-6)/u + 147/(-30) and q.
140
Let k(l) = -l**2 + 8*l + 7. Let h be k(9). What is the least common multiple of (h + (1 - -2))*7 and 7?
7
Let n = -45815/1222 - 5/611. What is the common denominator of -65/18 and n?
18
Let b be (-9)/(-762)*12/(-51501). Let t = b - 658447100179/43604180. Let w = -15097 - t. Find the common denominator of w and -109/18.
180
Let o be (-1 - -2)*(-6)/(-3). Suppose 17 - 3 = o*n. What is the smallest common multiple of n and 7?
7
Suppose -4*f = w - 6, 3*w - 2*f - 2 - 2 = 0. Suppose -10 = r - 3*s, -w*r + 0*r = -s + 10. Calculate the common denominator of 285/r*(-5)/(-15) and 61/2.
4
Let x be (1 + 94971/27)/(-2). Let l = x + 1