t z = 135/4 + -34. Calculate the common denominator of z and -41/18.
36
Let j be ((-16)/12)/(1/6). Let g = j + 29. What is the common denominator of g and 59/6?
6
Let p = -2/99 - -1652/99. Suppose -3*x - 8 = -2. What is the common denominator of p and 18/(-4) - -1 - x?
6
Let g(x) be the first derivative of x**2/2 + 5*x - 1. Let l be g(-5). Calculate the common denominator of -23/2 and 83/(-20) + l + -1.
20
Suppose 6*c - 10 = 44. What is the lowest common multiple of c and 6?
18
Let i(p) = 4*p - 2. Let g(o) = -o**3 - 4*o**2 - 5*o - 4. Let d be g(-3). What is the smallest common multiple of 2 and i(d)?
6
Let v = 22 + -16. What is the common denominator of 4/2 + 140/(-22) and v*((-21)/(-48) + 0)?
88
Let k be 42/5 + 4/(-10). Suppose 0 = -5*n + k + 7. Let u = n - 2. Calculate the least common multiple of 11 and u.
11
Suppose 0 = -0*m - m. Suppose m*w - w = -18. Suppose 2*y - 12 = -y. Calculate the smallest common multiple of y and w.
36
Let a = 499 - 3997/8. Calculate the common denominator of 29/98 and a.
392
Suppose -604 + 2539 = 5*b. Let k = -3490/9 + b. What is the common denominator of k and 13/3?
9
Let n(t) = -t**2 - 5*t - 2. Calculate the smallest common multiple of 28 and n(-4).
28
Let b = -14 + 25. What is the lowest common multiple of 4/14 - 225/(-21) and b?
11
Let c = 326/11 + -1653/22. Let z = 496 - 351. Let s = 279/2 - z. Find the common denominator of s and c.
2
Suppose 34 = 3*u - 2*j, 3*u + 14 = 4*u - 2*j. Calculate the smallest common multiple of 16 and u.
80
Let q(g) = -g**3 - 7*g**2 - 5*g + 4. Let n be q(-6). What is the common denominator of 47/3 and (-183)/9*n/(-4)?
6
Let w = -73/111 - -1861/148. Calculate the common denominator of 101/20 and w.
60
Let a(r) = 577*r - 8. Let u be a(6). Let s = u + -20771/6. Find the common denominator of s and 97/2.
6
Suppose 0 = -5*v - 23 - 2. Let i be 0 + -2 - (0 - 13). Let d = i + v. What is the lowest common multiple of d and 1?
6
Let f be (-1)/(-2) - (-42)/12. Suppose 2*t = -2*v + f, -2*v = 3*t - 0*t - 10. Calculate the smallest common multiple of t and 2.
6
Let y(x) = -x**2 - 5*x - 1. What is the smallest common multiple of 2*(-9)/6*-1 and y(-2)?
15
Let t(d) = 2*d**3 + d**2 - 5*d + 2. What is the lowest common multiple of 22 and t(2)?
132
Let u(q) = q**3 + 3*q**2 - q - 1. Let b(w) = -w - 7. Let d be b(-5). Calculate the smallest common multiple of 4 and u(d).
20
Let k = -4 + 7. Let x(b) = -2*b - 2 + k - 5. Calculate the lowest common multiple of x(-3) and 5.
10
Let q(b) = -b**2 + 6*b - 4. Let g(d) = d**2 + d + 1. Suppose -2*m + 0*n = n + 2, 2*m + 4*n = -2. What is the smallest common multiple of g(m) and q(5)?
1
Let m(x) = -x**3 + 7*x**2 + 12. Calculate the lowest common multiple of m(7) and 7.
84
Let p = -18 - -10. What is the smallest common multiple of (-1)/((-4)/p*-1) and 2?
2
Suppose -d - z - 52 = -6*d, -4*z - 8 = 0. Calculate the lowest common multiple of 8 and d.
40
Suppose 3*w = -4*v - 28, 5*v + 24 = -3*w + 2*w. Calculate the common denominator of (0 + 22/80)*w and (-50)/(-18) - (-2)/(-4).
90
What is the lowest common multiple of 42/9*12/8 and 5?
35
Find the common denominator of (-5)/10*(3/111 + -1) and -51/11.
407
Let r be (2/(-3))/((-1)/3). Let b = r + -1. What is the smallest common multiple of 11 and b?
11
Let a = 398 - -817/2. Let f = -770 + a. Find the common denominator of 55/12 and f.
12
Let v = 12 - 10. What is the smallest common multiple of v and 18?
18
Let n = -728543645 - -22299263933921/30608. Let j = -4/1913 - n. What is the common denominator of -37/2 and j?
16
Suppose -4*t - 33 = c, 2*t = -c + 5*t + 2. Let h be c/(-5) + 4/10. Suppose i - h*i = -24. What is the smallest common multiple of 14 and i?
84
Calculate the common denominator of (-2)/(-28) + 72/24 and -67/4.
28
Let h = -10181 + 112127/11. Let s = h - 1083/44. Let j = 17/10 - 543/40. Find the common denominator of j and s.
8
Suppose 0 = -2*c + 7 + 29. Suppose 0*b = -3*b. What is the lowest common multiple of c and 3 - (1 + (b - 0))?
18
What is the least common multiple of 15 and (-5)/(-3)*2/4*36?
30
Let d = -8 + 14. Let y = d + -6. Let o = 6 - y. What is the smallest common multiple of 8 and o?
24
Let p(t) = 3*t**2 + 5*t + 8. Calculate the smallest common multiple of 6 and p(-3).
60
Suppose 5 = r + 4, 34 = 2*w - 2*r. Let d = 146 - 124. What is the smallest common multiple of w and d?
198
Let z(w) = w**3 + 7*w**2 + 4*w - 4. Let m = -18 - -12. Calculate the smallest common multiple of 20 and z(m).
40
Let t = 60 - 36. Calculate the smallest common multiple of (-14)/(-77) + 20/11 and t.
24
Let d = -5 + 8. Let z = 198 + -707/4. What is the common denominator of z and (d/12)/((-11)/222)?
44
Let y = 41/6 + -163/18. Calculate the common denominator of y and -53/55.
495
Suppose -4*z + 48 = 4*p, -2*z = -5*p + 2 + 9. Let w = -42 + 43. Calculate the smallest common multiple of w and z.
7
Let b = 10 - 13. Let h be (-2)/b*-23757 - -3. Let q = 189899/12 + h. Calculate the common denominator of q and 7/4.
12
Suppose 3*k + 15 = 48. Let j = k + -9. Calculate the lowest common multiple of (-2 + 0)*-1*2 and j.
4
Let p = -14428273/2091 + 49/4182. Let i = p - -6918. Find the common denominator of (6/8)/(6/(-284)) and i.
6
Let a = -127/6 - -20. What is the common denominator of a and 13/18?
18
Let c(p) = 3*p. Let l(b) = -b**2 + 4*b + 3. Let o be l(4). Suppose -i + 10 = i - 3*w, 5*i + o*w = 67. What is the lowest common multiple of c(2) and i?
66
Let u be 4/(3/(-6)*2). What is the common denominator of 31/4 and ((-114)/(-16))/(u/16)?
4
Let g be 1 - (0 - (-1 + 2)). Suppose g = 5*f - 3. Find the common denominator of 1/(-2) - (f + 35) and -3/10.
10
Let r = 6 - 15. Let m(t) = t**2 + 8*t + 2. What is the lowest common multiple of m(r) and ((-4)/(-3))/(4/30)?
110
Suppose -j = -2 - 0. Let g = -433/30 + 68/15. What is the common denominator of g and (j/(-3))/(24/244)?
90
Let b = -2/2981 - -211667/23848. Find the common denominator of -69/20 and b.
40
Suppose 5*y = 4*x - 3566, 0 = 4*y - 4*x + 1086 + 1766. Let f = y - -1337/2. What is the common denominator of f and -47/4?
4
Let t = 8/4443 + 412927/151062. Find the common denominator of t and 34/3.
102
Let r(c) = 37*c - 9. Let t be r(5). What is the common denominator of -41/3 and ((-14)/(-4))/(55/t)?
15
Let r = -85 - -841/10. What is the common denominator of 23/20 + (-1)/5 and r?
20
Let x = 332 + -1317/4. Let s = 1824 - 3553/2. Calculate the common denominator of x and s.
4
Let t be (3 + 0/3)*-1. What is the smallest common multiple of 1 and 1/t - 68/(-6)?
11
Let l = -721/207 - -6/23. Suppose k - 35 = -5*a, -5*k + 35 = -2*a - 5. What is the common denominator of l and 1/(-2)*44/k?
45
Suppose 3*v = 4*v. Suppose 0 = d - 2*k - 14, -3*d - 3*k + v*k + 51 = 0. Calculate the smallest common multiple of d and 16.
16
Suppose 5*w + 10 = -0. Let g = -1 + -32. What is the lowest common multiple of 10 and (6/9)/(w/g)?
110
Suppose 3*z + 2*u + 8 = 0, -3*u = -2*z - u - 12. Let p(a) = 5*a - 4. What is the lowest common multiple of (-5)/(1 + 5/z) and p(4)?
80
Suppose t - r = 4*r + 180, t = -4*r + 180. Suppose 3*z + z - t = 0. Find the common denominator of z and 65/3.
3
Let z = -7 + 9. Suppose -2*i - 3*h - 12 = -33, z*h = 3*i - 12. Find the common denominator of (27/75)/(i/195) and 23/12.
60
Let r(x) = -3*x - 26. What is the least common multiple of 86 and r(-11)?
602
Let o = -1/152 - -889/8056. What is the common denominator of o and -63/2?
106
Find the common denominator of -119/10 and 4946/(-2448) + (-30)/(-255).
360
Suppose 0 = 40*c - 35*c - 120. Calculate the least common multiple of c and 9.
72
Suppose -5*a + 7 + 8 = 0. What is the smallest common multiple of 2 and -14*(-3 - a/(-6))?
70
Let k = -33/397 - 6522/21835. What is the common denominator of -47/15 and k?
165
Let j be -3 - (0/(-1) - -1). Find the common denominator of (-1)/j*-194*1 and -21/4.
4
Suppose -2*l - 3*s = -4*l + 16, -5*l - 2 = 3*s. What is the lowest common multiple of 3/(-6)*-4 - -9 and (-14)/(-1)*1/l?
77
Let b = 9302499/22 - 422916. Let f = 10375/138 - 47/69. Let t = b + f. Find the common denominator of 30/7 and t.
77
Calculate the lowest common multiple of 3 and (0 + 8/12)/(6/81).
9
Suppose 4*i + 56 - 216 = 0. Suppose i = 4*k - 24. What is the lowest common multiple of k and 16?
16
Let m(y) = -8*y. Let d be m(-1). Suppose -d