What is the common denominator of -12/11 and 137/(-21) + q/(-3)?
77
Let n = 48 - 39. Calculate the lowest common multiple of 24 and n.
72
Let k = -92/33 - -56/99. Suppose 286 = 3*o + 1000. What is the common denominator of k and o/(-5)*5/12?
18
Let i = 464 + -6421/14. Find the common denominator of ((-127)/18)/(0 + -1) and i.
126
Let h = -6511/12 + 543. Calculate the common denominator of (-3 - -2) + 103/10 and h.
60
Calculate the common denominator of -27/10 and -13 + 15 + (-246)/20.
10
Let k = 32 - 12. Calculate the least common multiple of k and 14.
140
Let l(n) = 27*n**2 - n + 1. Let c be l(1). Suppose 0 = -4*i - 7 + c. Calculate the lowest common multiple of i and 5.
5
Let s = 11 - -9. Suppose 0 = -2*c - 6 + 26. Calculate the least common multiple of c and s.
20
Suppose 0*z - 90 = -3*z. What is the lowest common multiple of z and 2?
30
Let r = 11 - 7. Let o(g) = 5*g - 2. Calculate the least common multiple of 10 and o(r).
90
Let t = 18 + -6. Let j(y) = y**3 - 7*y**2 - 9*y + 12. Calculate the least common multiple of j(8) and t.
12
Let m(f) be the third derivative of f**4/12 + f**3/6 - 2*f**2. Let i be m(7). Let n = i + -1. Calculate the lowest common multiple of n and 16.
112
Suppose 0 = 3*o + 22 - 64. Suppose 0*s + 3*s - o = -u, s - 2 = 0. What is the smallest common multiple of u and 12?
24
Suppose -2*y - 3 = 2*v - 9, -y + 11 = 5*v. Calculate the least common multiple of 5 and v.
10
Let a(b) = -26*b + 3. Let t = -383/4 - -87. Find the common denominator of t and a(2).
4
Let f = 6 + 6. Let q be 1/(-3)*1*-27. Suppose q*r = 4*r + 60. Calculate the smallest common multiple of f and r.
12
Let j(f) = -f**2 - 6*f - 3. Let p be ((1 - 0)*-2)/(-2). Calculate the lowest common multiple of j(-5) and (-3 + 7)*p/2.
2
Let x = 1 - 2. Let v(m) = -2*m - 1. Calculate the lowest common multiple of -5*(-1 + 2)*-1 and v(x).
5
Let v = -77/25 - -259/50. What is the common denominator of v and -73/12?
60
Suppose 0 = 3*j - 4*g - 16, 0 = 5*j - 0*g + 4*g - 48. Suppose 4*x - 2*p - 32 = 0, j*p - 4*p = 5*x - 40. Calculate the lowest common multiple of 1 and x.
8
Let g(v) = -2*v. Let n(l) = 10*l + 0 + 0*l + 0. Let p(y) = 33*g(y) + 6*n(y). Calculate the least common multiple of p(-3) and 18.
18
Let v be (0 - -2448) + -6 + 5. Let u = v + -1232. Let p = -8545/7 + u. Find the common denominator of p and -83/6.
42
Let z = -58 - 8. Find the common denominator of -31/4 and 0 - -3 - 1177/z.
12
Let b(j) = -j**3 + 4*j**2 - j. Let g be b(4). Find the common denominator of (g + 3)/(8/(-158)) and 93/10.
20
What is the common denominator of -61/8 and (-1354)/240 + (-6)/(-10)?
24
Let r(n) = -n**3 + 3*n**2 - 2*n - 1. Let a be r(2). Let p(k) = -k**3 + 6*k**2 - k - 3. Find the common denominator of (0 - a) + 52/18 and p(5).
9
Suppose -20 = -4*h - 2*j + 4*j, -5*h - 4*j + 38 = 0. Let m = -3 + h. What is the lowest common multiple of m and 5?
15
Suppose -2*k + 27 = k. Calculate the smallest common multiple of k and (-1 + -3)*24/(-16).
18
Let b = 30 - 20. What is the smallest common multiple of 11 and b?
110
Let g = -7 - -9. Calculate the least common multiple of 4 and g.
4
Let b = 109/40 - 8/5. Let p be 715/5*(-6)/(-14). Let q = -4043/63 + p. Calculate the common denominator of q and b.
72
Let n = 57/86 - -3118/129. Calculate the common denominator of n and -1 - (-6)/8 - -10.
12
Let r = 8/989 + -64381/11868. Let z = 10874131/647 - 16807. Let s = -30405/1294 - z. Find the common denominator of r and s.
12
Let u be 17 - 2*(-1 - -2). Let p = u - 10. Calculate the least common multiple of p and 6.
30
Let b = -1156/24043 - 3944447417/480860. Let x = b + 8206. Find the common denominator of -41/6 and x.
60
What is the smallest common multiple of 14 and 16*(-6)/(-8)*9?
756
Let n(l) = -l**3 - 13*l**2 - 14*l - 13. Calculate the lowest common multiple of 1 and n(-12).
11
Find the common denominator of (-316)/(-14)*(-5 - -3)/16 and -65/8.
56
Let v = -2497/10 + 1031/5. Suppose -3198 = 3*y + 222. Let q = y - -12548/11. Calculate the common denominator of q and v.
22
Suppose -5*k - 3*z + 8*z - 170 = 0, -2*z = k + 19. Let b = k - -45. Calculate the least common multiple of b and 14.
112
Let h(i) = -195*i**2 - 2*i - 1. Let c be h(2). Calculate the common denominator of -29/10 and 2/10 + c/550.
110
Suppose 663 + 593 = -4*o. Calculate the common denominator of o/40 + 18/6 and -73/6.
60
Let l be 8/4 - (-48221)/3246. Let g = l - 12/541. Find the common denominator of g and 7/(-14) - 33/(-8).
24
Let c(f) = 3*f**2 + 1. Calculate the least common multiple of c(-1) and 20.
20
Let h be (-1)/2 + (-7)/2. What is the common denominator of 303/(-2)*5/15 and 79/(-22)*(5 + h)?
22
Suppose -3*d = -4*d + 33. What is the least common multiple of d and 12?
132
Suppose -j - 2*u + 14 = -6*u, 3*j - 5*u - 28 = 0. What is the lowest common multiple of j and 3?
6
Find the common denominator of 2/(-12)*237/(-9) and -21/10.
90
Suppose 0 = -9*j + 13*j - 3700. Let y = j + -2801/3. What is the common denominator of 4/3 and y?
3
Let w = -1020 - -9254/9. Calculate the common denominator of 85/8 and w.
72
Suppose 0 = -4*r - 4*s + 4, -5*r - 2*s = -17. Let a = -57 - -58. What is the lowest common multiple of r and a?
5
Calculate the common denominator of 47/12 and ((-1)/(2/(-101)) + 0)/1.
12
Suppose 8*w - 10*w + 4 = 0. Suppose -4*g + 2*t + 102 - 24 = 0, 3 = -g + 5*t. What is the lowest common multiple of w and g?
22
Let s(c) be the second derivative of c**3/3 + 3*c**2/2 - c. What is the smallest common multiple of s(0) and 7?
21
Suppose 8 = -2*t - 4*j, -5*j - 28 = -3*t - 3*j. What is the lowest common multiple of t and 28?
84
Let q = 37 + -9. What is the lowest common multiple of q and 2?
28
What is the common denominator of -8/3 and 34*(-3)/(-16) + 1?
24
Let l = 623/207 + 7/69. Let i = 329 + -1631/5. Calculate the common denominator of i and l.
45
Let z(c) = 26*c**3 - 2*c**2 - 2. What is the least common multiple of 16 and z(2)?
1584
Let i = -12439/580 - -490/29. What is the common denominator of i and 83/16?
80
Suppose 3*z = y + 3*y - 1, y - 13 = 5*z. Let m(n) = -4*n**3 - 2*n**2 + n - 2. Calculate the smallest common multiple of 2 and m(y).
20
Suppose -2*g = -3 - 1. Suppose -g*i + 1 + 1 = 0. Calculate the least common multiple of i and (-6)/4 - 130/(-20).
5
Suppose 0 = 2*b - 4, -x + 4*b - b = -1. Calculate the lowest common multiple of 16 and x.
112
Suppose 2*s + 0*s + 8 = -5*f, -f - 7 = -5*s. Suppose -2*k - 7 + 3 = -5*a, -3*k - 6 = 3*a. Calculate the common denominator of 28 and (-61)/(k/(-2) + s).
2
Let u = 20/27 + 119/54. What is the common denominator of u and -55/12?
36
Let i be (-4)/(-14) + (-46)/14. Let f(v) = -5*v + 3. Suppose 2*l - 6 = -0*l, 2*h - 17 = -3*l. What is the least common multiple of h and f(i)?
36
Let k be (-3566)/60 + 4/(-6). Let g = 239/4 + k. What is the common denominator of g and 79*1/(-5)*(-290)/(-696)?
60
Suppose -46 = -5*f + 94. Suppose -5*y - 3 = -f. Suppose -44 = -y*w + 16. What is the smallest common multiple of 8 and w?
24
Let w = 9 + -5. Suppose 6 = -4*u - 4*d + 2, -41 = -w*u + 5*d. What is the lowest common multiple of 6 and u?
12
Suppose m + 0*m - u = -3, 0 = -m - 5*u + 27. Suppose -3*g - m*g = -5*b - 5, -2 = -b. What is the lowest common multiple of 11 and g?
33
Let m(k) = 73*k + 1. Let z be m(-1). Find the common denominator of (-9)/(-36) - (-562)/z and -47/11.
99
Let u be (1 - -7)*3/6. What is the smallest common multiple of (u - 0)/(-2 - -4) and 6?
6
Let m = 55963/6 + -9306. Find the common denominator of m and ((85/(-30))/(-17))/(12/(-236)).
18
Suppose -8*o + 190 = -3*o. Calculate the smallest common multiple of 18 and o.
342
Let z = -21 + 51. What is the lowest common multiple of 9 and z?
90
Let k(j) = -5*j + 116. Let s(v) = v**3 - v**2 - v + 10. Let g be s(0). What is the lowest common multiple of k(23) and (-30)/9*(-12)/g?
4
Suppose -4 = -y + 1. Suppose 4*w = y*w + 5. Let k = 10 + w. What is the lowest common multiple of 11 and k?
55
Let g = -919/2 + 482. Find the common denominator of g and 23/9.
18
Let p be (-1)/2 + (-12)/(-8). Find the common denominator of -5/7 and (p/4)/((-4)/(-14)).
56
Let n(t) = t**2 + 2*t - 8. What is the least common multiple of n(-6) and 22?
176
Let f be (-1 - 0)*(-20)/(-5). Let w be 12310/7825*(-19)/f. Let k = -54/313 + w. Calculate the common denominator of k a