7*r**2 + 7*r - 6. Let b be n(5). Let c = f - b. What is the common denominator of c and -113/12?
84
Suppose 0 = -a + 5 + 33. Suppose 6 = -4*g - a. Let u(n) = -n**3 - 11*n**2 - n - 7. What is the smallest common multiple of 2 and u(g)?
4
Suppose 0 = -5*c - 3*j + j + 143, 0 = -c + 4*j + 11. Suppose 0 = 4*d - c - 37. Calculate the lowest common multiple of d and 2.
16
Suppose -12 = -33*r + 27*r. Suppose 0 = -2*s + s + 7. Calculate the lowest common multiple of r and s.
14
Let o = 57 - 55. Suppose o*y + w = 8, y - 3*w = w - 14. Calculate the lowest common multiple of 34 and y.
34
Let r = 218969/744 - 883/3. Find the common denominator of r and 52/5.
1240
Suppose -11*f = -2*f - f. Suppose f*x = -4*x + 20. What is the least common multiple of x and 9?
45
Let d(h) = 8*h**2 - 25*h - 8. What is the least common multiple of 78 and d(6)?
390
Let t = -121 - -66. Calculate the common denominator of 22/t + (-662)/720 and 13/28.
504
Let q(z) = 3*z**2 + 14*z - 20. Let g = 2 - 0. What is the lowest common multiple of q(-6) and g?
4
Let i = 254 + -227. Calculate the lowest common multiple of i and 18.
54
Let a = 19 - 15. Suppose 3*g - 79 = 3*y - y, -a*g - 2*y = -110. Calculate the smallest common multiple of g and 15.
135
Let a = -1003/2 + 452. Find the common denominator of a and 99/4.
4
Let h = 10 - 12. Find the common denominator of (-98)/(-8) - 3/(-12) and 4/(-40)*9 - h.
10
Let y = 1821 + -7239/4. Let p = -37/20 - 13/4. What is the common denominator of p and y?
20
Suppose 0 = -5*l + 3*l + 8. Suppose -l*k + 17 = -7. Calculate the lowest common multiple of 14 and k.
42
Let r(n) = -9*n - 21. Let t(v) = v**3 + 5*v**2 + 2*v + 2. Let j be t(-4). Let w = 16 - j. What is the smallest common multiple of w and r(-3)?
6
Suppose 9*t - 4*t = 30. Let v(o) = -2*o**3 + 16*o**2 - 13*o + 2. What is the smallest common multiple of t and v(7)?
18
Let u be 4/8*2*5. Let i = 9 - u. Suppose -16*b = 19*b - 70. What is the lowest common multiple of b and i?
4
Let r be 2879/(-3) - (-19)/38. Let s = -953 - r. Calculate the common denominator of s and -85/8.
24
Suppose 0 = -4*j - 3*b + 54 + 13, -5*j + 79 = -b. Let w(l) = l**3 + 7*l**2 - 3*l - 3. Calculate the smallest common multiple of j and w(-7).
144
Let m(i) = -i**2 + 6*i + 42. Let r be m(-5). Calculate the smallest common multiple of -8*(r/2 + 5) and (0 - 1)/((-3)/36).
12
Let d = -8131/9 + 905. Let y = 22 + -27. Let a = y + -20. What is the common denominator of a and d?
9
Let n be ((-8340398)/(-3376) - 3) + -3. Let l = n - -10366/211. Let c = -2508 + l. Calculate the common denominator of 91/2 and c.
8
Let x = 386357/5920 - 2433/37. Calculate the common denominator of -7/20 and x.
160
Let k = -2 - -20. What is the lowest common multiple of (-34)/(-2) + 20 + -21 and k?
144
Suppose 200 = 19*h + h. Let v(y) = y**3 - 2*y + 1. Let s be v(1). Suppose s*g - 16 = -4*g. Calculate the least common multiple of g and h.
20
Calculate the common denominator of -88/45 and 5 - (525/162)/1.
270
Let p(t) = -t**2 + 434. Let j = -8 - -8. Let f be p(j). Calculate the common denominator of -119/12 and (1 - f/6)/12.
36
Let l = -119107663/100 + 1191061. Let b = -3/25 + l. Find the common denominator of -39/8 and b.
8
Suppose 44 = 7*s - 166. Calculate the lowest common multiple of s and 10.
30
Let m(v) = 7*v**2 + 30*v - 11. Calculate the smallest common multiple of m(-5) and 13.
182
Let k = 5 + 6. Suppose 5*d = 3*z + k + 5, 4*d - 17 = z. Suppose d*x = 55 + 45. What is the least common multiple of x and 16?
80
Let i be -14 + 11 + (-3)/(-1). Find the common denominator of i - (279/(-24) + 2) and -69/4.
8
Suppose 690 = 22*g - 234. Calculate the lowest common multiple of 21 and g.
42
Let i(d) = d**3 + 10*d**2 - 4*d - 28. Let p be i(-10). Let f be (-59)/(-3) - (-3)/9. Suppose -11*g - f = -p*g. What is the least common multiple of g and 18?
180
Let a be (-2)/10 + (-3930)/(-150). Suppose s - 3*h = -4*s + a, s - 2*h = 8. Calculate the smallest common multiple of s and 16.
16
Let j = -523/3 - -1381/8. What is the common denominator of j and -67/12?
24
Let p(g) = 2*g + 1. Let d be p(-2). Let n be 16*-1*3/d. Find the common denominator of 35 and ((-2)/n)/((-2)/268).
4
Let a(x) = x**2 + 4*x + 3. Let m be a(-5). Calculate the common denominator of 93/20 and ((4578/m)/(-7))/9.
60
Suppose -7*x + 188 = -8. Suppose -5*w = 1 + 24, x = 4*j - 4*w. What is the least common multiple of j and 3*(40/6 - 0)?
20
Let o = -1437/26 + 54. Calculate the common denominator of (-735)/(-56) - (0 - -4) and o.
104
Let u = -1718/21 - -256/3. Find the common denominator of u and -65/28.
84
Calculate the common denominator of -58/105 and (-711)/(-120) + 6/30.
840
Let i = -5437391/76 + 71546. Find the common denominator of -119/190 and i.
380
Let g = -213 + 4685/22. Suppose 5*t + 5*i - 5 = 0, -4*t + 5*i - 11 = 4*i. What is the common denominator of t/13 + (-4845)/(-650) and g?
110
Let z(s) = -6*s - 5. Let n be z(-2). Let i = -12 + n. What is the common denominator of -101/6 and (-35)/(-8)*(-2)/i?
12
Let n be ((-8)/10)/(22/12210). What is the common denominator of -9/22 and 3 - (0 - 1 - n/32)?
88
Suppose 5*i = -5*j + 55, 3*i - j - 40 = 3*j. What is the least common multiple of (4 - 2)*-1*-2 and (4/6)/(4/i)?
4
Suppose -5*l - 3 = -23. Suppose -l*k - 5*b - 57 = -k, -5*k + b - 123 = 0. Let j = k - -26. What is the lowest common multiple of j and 2?
2
Let b = 45431/21 - 2160. Calculate the common denominator of b and 21/16.
336
Suppose 0 = 4*b - 27 + 95. Let h = 20 + b. Calculate the least common multiple of h/2 + (-2)/4 and 3.
3
Suppose 53*h - 160 = 13*h. Suppose -7 = -o + 1. Calculate the lowest common multiple of h and o.
8
Let s(t) = 177*t**2 - t + 6. Let b be s(9). Let p = 258085/18 - b. Find the common denominator of -17/30 and p.
90
Suppose 5137 + 1083 = -2*m - 4*h, h = 2*m + 6245. What is the common denominator of (-4)/6*(-828)/m and -21/4?
260
Let a = 61343/16 - 3829. Calculate the common denominator of -1 + (294/(-172))/(-3) and a.
688
Calculate the least common multiple of 2 and 4/10 - (-2006)/85.
24
Let f(g) = -g**2 - 5*g + 25. Let s be f(-9). Let a(w) = 2*w + 31. Calculate the smallest common multiple of a(s) and 30.
90
Let h = -10 + 92. What is the smallest common multiple of h and 5?
410
Suppose 34 - 11 = d + 5*y, 5*d = -4*y + 31. Suppose t + 4*t = g + 19, -d*g = 2*t - 11. Calculate the least common multiple of 20 and t.
20
Let v be (-12)/(-1568)*-2*1*-20. Let r = 9588423917/9324132678 + -2/10571579. Let x = r - v. Find the common denominator of 21/16 and x.
144
Let w = 6859/10 - 681. What is the common denominator of w and 312/36*(-9)/(-4)?
10
Let v = -10 + -7. Let y = -17 - v. Find the common denominator of 65/4 and y + 21/8 + 0.
8
Let n = -6139/5 + 1230. Let a = 33737/13 - 2591. Find the common denominator of a and n.
65
Suppose 0 = -4*s - 3*k + 27, 0 = 3*k + 10 - 1. Suppose -3*n = -6*n + 12. Calculate the lowest common multiple of s and n.
36
Calculate the common denominator of -31/24 and (-446)/1020 - (714/70 - 10).
408
Calculate the lowest common multiple of 45 and (-7)/((-210)/(-96))*-25.
720
Let d be (0 + 6/(-15))*-185. Let x = -68 + d. What is the lowest common multiple of x and (-4)/(-14) - 52/(-14)?
12
Let w(p) be the third derivative of -p**5/60 + p**4/3 - 2*p**3/3 - 4*p**2. Let v be w(3). Suppose -v = -3*k + 10. What is the least common multiple of k and 5?
35
Let t = 135545/12 + -11302. What is the common denominator of -11/6 and t?
12
Suppose 0 = 5*f - f - 5*s - 57, -2*s - 2 = f. Calculate the common denominator of -2*927/990*5/2 and 4/(-10)*226/f.
110
Suppose m - 62 = 5*f + 36, 0 = -2*m + 5*f + 176. Suppose 0 = 5*c + q - 19 + m, c + 9 = -3*q. What is the common denominator of c and 4/(-6) - 358/(-42)?
7
Calculate the common denominator of (-8)/12 - 590/24 and 62/(-20) - (-6 + 224/40).
20
Suppose 0 = -7*w - 26 + 47. Suppose -4*r = -5*l - 9, -w*l + l = -4*r + 18. What is the smallest common multiple of r and 25?
150
Let t = 21125/8 - 2644. What is the common denominator of t and -3/17?
136
Let g(k) = -k**3 + 8*k**2 + 11*k - 2. Let v be g(9). Calculate the common denominator of -39/4 and (-6)/v - (-39)/(-216).
36
Calculate the least common multiple of 90/12 + -2 - (-6)/(-4) and 441.
1764
Let x = -6399798370744225 - -154033457489079544204927/24068486. Let u = x + 624