 s = -26 + 37. Let v(a) = -2*a**2 - 3*a + 4. Let f be v(2). What is the smallest common multiple of s and (125/f + 6)*-2?
143
What is the common denominator of (-111)/1110 - (61/(-80))/1 and 93/40?
80
Let k = -501 - -152. Let f be -1 + -1 - k/(-1). What is the common denominator of -93/20 and ((f/(-6))/1)/3?
20
Let q(f) = f**2 - 4*f - 10. Let g = -4 - -6. Suppose g = m + m. Calculate the smallest common multiple of q(7) and m.
11
Let p = -1520863/6930720 - 1/154016. Calculate the common denominator of -89/6 and p.
360
What is the smallest common multiple of 6 and 820/4 + -7 + (3 - 0)?
402
Suppose s - 4*t = 24, 3*s - 3*t - 72 = -4*t. What is the least common multiple of s and 48?
48
Let j = -27 - -42. Suppose -a + j = 4*a. Calculate the least common multiple of 16 and a.
48
What is the common denominator of (-12)/45*1/(34/37) and -94/45?
765
Find the common denominator of 518/56 + ((-69)/(-24) - 3) and (86/24)/((-2)/(-6)).
8
Suppose 4*u = -u + 100. Let z = -16 + u. Calculate the smallest common multiple of z and 18.
36
Suppose y - 9 = -2*t, 5*y - 2*t - 3*t = 15. Suppose -y = -s + 3. Suppose 0 = -f + 4*f - 12. What is the smallest common multiple of f and s?
8
Let i = -43 + 49. Calculate the smallest common multiple of i and 15.
30
Let q = 641833/30 + -21392. What is the common denominator of -71/3 and q?
30
Let c = 313 - 89. Calculate the lowest common multiple of c and 5.
1120
Let q be (0 + (-3)/(-6729))/(-1). Let d = q + -51579/22430. Find the common denominator of d and -20.
10
Suppose -3*j - 23 = -8. Calculate the least common multiple of 10 and (j + 7)/(2/6).
30
Suppose -6*p = -2*b + 790, 0 = 5*p - 10*p + 15. Calculate the least common multiple of b and 2.
404
Let k be ((-1 - -3) + 0)*(1 - 2). What is the least common multiple of (-3)/(-1) + k/((-10)/(-5)) and 7?
14
Suppose 9*u = 5*u, 4*u = 4*o - 16. What is the lowest common multiple of 94 and o?
188
Let g = 14 + -10. Suppose -2*v - 440 = -24*v. Calculate the smallest common multiple of g and v.
20
Let b = 64 - 61. Calculate the common denominator of b - (-35)/20*(-84)/22 and 67/50.
550
Let i(y) = -2*y**2 - y - 6. Let j be i(0). Let b be (-4)/j + (-56)/3. Calculate the common denominator of 39/8 and (-135)/b*(-28)/138.
184
Let j be (-26)/(-4) + (-1)/2. Suppose j*x - 4*x + 160 = 0. Find the common denominator of 17/3 and 1/2 + x/(-48).
6
Let t = -85 + 89. Suppose 4 = 2*r - 3*q - 4, 8 = t*q. What is the least common multiple of 2 and r?
14
Suppose -y + 2*y + 51 = 5*u, 5*u - 163 = 3*y. Let l be 8/(-14)*y/16. Calculate the common denominator of (l/8)/((-5)/65) and 67/6.
12
What is the common denominator of 49/12 and 2 + 4 + (10 - 10557/672)?
672
Suppose 0 = 3*s + 9 - 30. Calculate the smallest common multiple of s and 12.
84
Suppose -3*g + 6 = 2*l + l, -17 = 5*g - 4*l. What is the lowest common multiple of (-126)/(-8) - g/4 and 22/2*(-8)/(-4)?
176
Let j(l) = -54*l**3 - l**2 - l - 1. Let b be j(-1). Let s = b - 47. What is the lowest common multiple of s and 11?
66
Let g = 381/896 + 10434121/2688. Let j = 3873 - g. Calculate the common denominator of j and 11/((3 + -2)/1).
6
Find the common denominator of 606/(-112)*(-11)/33 and -37/32.
224
Suppose -2*h = -3*h - 3981. Let d = 79641/20 + h. What is the common denominator of -63/10 and d?
20
Suppose -38*m + 960 = -8*m. Calculate the least common multiple of m and 320.
320
Let c(y) = y**2 - y - 1. Let g = 1813029321/17794735 + -1/508421. Let x = g + -488/5. What is the common denominator of x and c(-6)?
7
Suppose 0 = -5*c - 5*g + 40, -2*g + 20 = 3*c - 0*c. Calculate the least common multiple of c and (30/4)/((-6)/(-16)).
20
Suppose 403*o = 389*o + 2898. Calculate the least common multiple of o and 63.
1449
Let c be (-2)/12 + 105/90. Let q be c/(5/(-10)) + -19. Let r = q + 23. Calculate the lowest common multiple of 1 and r.
2
Let f(b) = -3*b + 6. Let g(c) = -2*c + 3. Let w(z) = 3*f(z) - 5*g(z). Calculate the smallest common multiple of 11 and w(-1).
22
Let i be (48/(-9))/((-4)/36). Suppose -7*g + 9*g = i. Calculate the smallest common multiple of 20 and g.
120
Let b = 2021 + -18214/9. Let y = 118 - 88. Find the common denominator of 6/9 - 47/y and b.
90
What is the lowest common multiple of 10 and 210 + (2 - 5) + 5?
1060
Let q = 635 + -631. What is the least common multiple of 160 and q?
160
Suppose 116 - 452 = -56*w. Calculate the smallest common multiple of w and 36.
36
Suppose l - 10 = -4*l. Suppose 0 = 4*b + 3*k - 47, b + l*k + k - 23 = 0. Suppose -10 - 6 = -p. What is the lowest common multiple of p and b?
16
Let n = 13 + -12. Calculate the smallest common multiple of (-72)/(-15) + 7/35 and n.
5
Let p = 804 - 3972/5. Find the common denominator of -14/3 and p.
15
Suppose -3*w = -w + p - 7, -19 = -5*w - 2*p. Calculate the smallest common multiple of 4 and w.
20
Suppose 0 = -767*q + 770*q - 594. Calculate the least common multiple of 2 and q.
198
Suppose -5*b = -2*u - 145, -2*b = 2*u - 19 - 39. What is the lowest common multiple of ((-7)/2 + 3)*-12 and b?
174
Let q = 346085755390471/19470 + -17775334128. Let f = q + -28/885. What is the common denominator of (-3 - 318/(-20))/(-9) and f?
330
Let p = -2157964/765 + 14104/5. Calculate the common denominator of p and 133/12.
3060
Let l = -913 + 22055/24. Find the common denominator of -80/21 and l.
168
Let s = -94/31 + -208/279. Find the common denominator of -67/33 and s.
99
What is the common denominator of ((-3)/15)/(2*(-4)/260) and 9/71?
142
Let v(g) = -g**2 + 6*g - 9. Let o be v(6). Let b = 15 + o. Let h = 70 + -52. Calculate the lowest common multiple of h and b.
18
Let f = 383871847/107675505 + -2/1709135. Let q = -93/35 - f. Calculate the common denominator of (-9)/12 + 354/(-56) and q.
126
Let g = 2945/42 + -383/6. Find the common denominator of g and -52/753.
5271
Suppose x + 0*x = -4*q + 14, -x - q + 14 = 0. Suppose 15*l - 3 = x*l. Calculate the least common multiple of 2/6 + 32/3 and l.
33
Let j be (-5 - -1)*(-4159)/(-1). Let d = 332651/20 + j. Let r = -2/505 + -93/2020. Find the common denominator of r and d.
20
Let p = -33/344 + -13079/1720. Calculate the common denominator of p and 2 - (-1)/((-48)/57).
80
Suppose 3*s - 5*v + 220 = 0, s - 4*v + 27 = -51. Calculate the smallest common multiple of 2 and (84/s)/(-1 + (-47)/(-50)).
20
Let v = 27 - 18. Suppose 0 = 10*f - 175 + 115. Calculate the smallest common multiple of v and f.
18
Let b = -396911/18 + 22043. Let d = -141334339/3522 - -40129. Let j = d - 9294/587. Calculate the common denominator of j and b.
18
Suppose -l + 6 = 3. Suppose 2*u - 20 = -l*u. Suppose 4*q - 28 = 28. What is the smallest common multiple of q and u?
28
Let g = -5/22685229 + 314893675829/54807513264. Let r = g - -29/151. Calculate the common denominator of r and (10/(-125))/((-193)/(-205) - 1).
240
Suppose -g + 5*l + 15 = 0, 4*g - l + 13 = 7*g. Suppose 3 = g*m - 17. Suppose n - m*r - 25 = 0, n + 2*r + 0 = 1. What is the least common multiple of 9 and n?
9
Suppose -647*d + 656*d - 333 = 0. Calculate the smallest common multiple of 34 and d.
1258
Let m be (-6)/15*(-1)/126. Let r = -449/126 - m. Find the common denominator of -1/6 and r.
30
Suppose -62 = -4*z + 5*g, -z + 6*g = 11*g - 28. Calculate the lowest common multiple of 4 and z.
36
Let j = -30419/277650 + 58/617. Find the common denominator of j and -143/108.
2700
Suppose -20 = -5*y, -4*y = -v + 1 - 0. Let a be 2/v - 111378/(-89352). Let p = a + 16/73. What is the common denominator of 85/18 and p?
36
Suppose 5*r = 4*l + 24 + 21, -l + 2*r = 9. Let b = 6 + l. Calculate the common denominator of (74/(-66))/(b/27) and -6/7.
77
Let p = -621/2 + 2812/9. What is the common denominator of p and 113/30?
90
Find the common denominator of 39/((-45)/(-12)*2) and (-116)/(-3)*6/(-12).
15
Let k = -62707/6 - -10427. Calculate the common denominator of (4736/333)/((-42)/9) and k.
42
Let z(d) = d**3 + d + 4. Suppose -5*p + 20 = 0, -146*r + 143*r - 4*p + 40 = 0. Calculate the smallest common multiple of r and z(0).
8
Suppose -3*n - 48*z - 4 = -53*z, -6 = -5*n + 2*z. Suppose -3*h - p + 19 = 0, 28 = 5*h + p - 3*p. Calculate the smallest common multiple of n and h.
6
Let l = -13 + 18. Suppose 31 = l*m - 4*q - 1, q + 38 = 5*m. Calculate the lowest common multiple of 20/28 + (-6)/(-21) and m.
8
Let a = -11 + 19. Calculate t