21. What is the least common multiple of t and f(-4)?
18
Let b be (-21204)/(-15) - (-9)/(-15). Suppose s = -0*k + 4*k + b, 720 = -2*k - 4*s. Calculate the common denominator of 109/6 and (-3)/20*k/9.
30
Suppose -4*r - 2*i + 7*i + 50 = 0, 0 = -3*r + i + 32. Calculate the lowest common multiple of 25 and r*(-1)/4*-6.
75
Let l = 8 + -4. Suppose -4*r + 32 = 4*n - 2*r, 0 = 2*r + l. What is the common denominator of 548/24 - 3 - -1 and n?
6
Suppose -3*b + 774 = 15*b. What is the least common multiple of 13 and b?
559
Let a = -103941/10 - -10405. Let p = -309482/26843 - 2/26843. Let j = p + 1865/119. What is the common denominator of j and a?
70
Suppose 51 = 2*r + 3*b, 4*b + 99 = 3*r + b. What is the smallest common multiple of r and 2?
30
Suppose -251 - 118 = -41*f. Calculate the lowest common multiple of 9 and f.
9
Let x(p) = -p**2 - 4*p - 2. Let j be x(-3). Find the common denominator of (j/(-4))/((-6)/(-220)) and 1 + (-13)/2*5.
6
What is the common denominator of 453*6/(-756) - (-2)/(-7) and 107/22?
462
Suppose -79*i - 28 = -83*i. What is the least common multiple of i and 28?
28
Let i = -2/2251 - -11549/330897. What is the common denominator of -48/5 and i?
735
Let x be 2506/18 - (-7)/21*1. Let g = 13714/99 - x. What is the common denominator of -40/3 and g?
33
Let u(s) = -s**3 + 4*s**2 + 5*s + 14. Let m be u(6). Calculate the common denominator of (0 - -5*m/(-36)) + 3 and 67/8.
72
Let b = 42022/103 + -408. Let w = 3815/206 + b. Find the common denominator of w and -27/10.
10
What is the least common multiple of (-240)/(-42)*(-2 + 9) and 60?
120
Suppose 6*a + 899 + 5707 = 0. Find the common denominator of 4/30 + a/45 and -2/15.
15
What is the smallest common multiple of 47/4 - (-6)/(-8) and 121?
121
Let z(u) = -148*u - 7984. Let y = -8 - -20. Calculate the least common multiple of z(-54) and y.
24
Suppose n - 204 = -64. Calculate the smallest common multiple of 28 and n.
140
What is the least common multiple of (-95)/(-57) + (-980)/(-6) and 45?
495
Suppose 11165 = 24*n - 17*n. Calculate the smallest common multiple of n and 5.
1595
Let f(v) = -v**2 - 10*v + 15. Let m be f(-11). Suppose 112 = m*o + 16. Suppose 6*p - 2*p - o = 0. What is the least common multiple of 14 and p?
42
Let n = -1565/216 - -47/54. Find the common denominator of -87/2 and n.
8
Let j = -4395469/60 - -73260. Calculate the common denominator of j and -49/36.
180
Let j be (1 + -4)*-1 + -6. Let q be 24/4 + j + -1. Suppose -6*f + q*k = -f - 62, f = -3*k + 26. Calculate the smallest common multiple of f and 6.
42
Let n(c) = 3*c**3 - 7*c**2 - 5*c. Let s be n(3). Suppose z = -s*z + 448. Calculate the lowest common multiple of z and 10.
560
What is the common denominator of (328/(-480) - 5) + (-14)/(-6) and -127/216?
1080
Find the common denominator of (14/(-78))/(220/1815) and -73/6.
156
Let p(s) = -145952*s + 10. Let m be p(16). Let o = 23271999/10 + m. Let f = o + 8029. What is the common denominator of f and -31/8?
40
Let r(z) = 4*z + 14. What is the smallest common multiple of r(-2) and 66?
66
Let k = -187 + 276. Suppose 4*c - k = 5*q - 10, -5*c = -q - 83. Calculate the least common multiple of c and 6.
48
Let m be (4/3 - 0)*-3. Let u = m + 6. Let p = 40 - 24. What is the smallest common multiple of u and p?
16
Let c(r) = -r**2 - 6*r + 5. Let a be c(-6). Suppose -5 = -5*z + j, 2*z - a*j + 11 = -10. Calculate the least common multiple of z and 14.
14
Let q(t) = t**3 - 15*t**2 + 7*t + 122. Suppose b - 3*m = -m + 24, 2*b = 5*m + 51. What is the least common multiple of b and q(14)?
72
Let b(k) = -4*k**2 - 49*k + 7. Let y(m) = 3*m**2 + 33*m - 5. Let a(u) = -5*b(u) - 7*y(u). Calculate the least common multiple of (80/(-4))/(-2)*2 and a(10).
40
Let f be (-8)/20 - (-84)/135. Let s = -67/18 + f. Let y = s + -13/3. Calculate the common denominator of 13/18 and y.
18
Suppose -2*b - 1 = -29. What is the lowest common multiple of 428 and b?
2996
Let s(w) = w**3 + 4*w**2 + w - 3. Let r = 5815 + -5788. What is the least common multiple of r and s(-3)?
27
Let f(w) = -1. Let s(b) = -b + 6. Let j(d) = 3*f(d) - s(d). Suppose 3*r + 36 = -11*p + 14*p, 30 = p + 5*r. What is the smallest common multiple of 10 and j(p)?
30
Let g(t) = t**3 + 5*t**2 - 14*t - 37. Suppose 7*z = 3*z + 4. Calculate the lowest common multiple of z and g(-6).
11
Let s = 3226 - 90317/28. Let q = 7641811/308 - 49623/2. Let d = q - s. Calculate the common denominator of -20/7 and d.
77
Let t = -29/2 - -205/6. Calculate the common denominator of t and 1/37*-47*1.
111
Let h(d) = 4*d**3 + 44*d**2 - 17*d + 3. What is the least common multiple of 38 and h(-11)?
190
Let a(l) = l**3 + 2*l**2 - 2*l. Let k be (4 - 33/6)*4. Let d be 5/((-10)/k) + -1. Calculate the smallest common multiple of a(d) and 2.
12
Let u = 8 - -9. Let t = u + -23. What is the common denominator of ((-3)/t - -3) + 1 and -107/20?
20
Let y(t) = t**2 + 38*t + 56. What is the lowest common multiple of y(-42) and 160?
1120
Suppose 0 = 2*x + 5*y - 85, -24*y = 2*x - 20*y - 90. What is the least common multiple of x and 11?
55
Let l = 6061 + -169691/28. Find the common denominator of -13/306 and l.
4284
Let c = 44 - 41. What is the common denominator of (-48)/30*2/c and 101/42?
210
Find the common denominator of ((-994)/(-42))/((-4)/(-6)) and -46/11.
22
Calculate the lowest common multiple of 6/(1 - 7/(-14)) and 68.
68
Let l be (-49)/(-28) - (-1)/4. Calculate the common denominator of -1 - (0 + (-10)/11) and (l - 0)*(-427)/(-42).
33
Let x(z) = z**2 + 14*z + 15. Suppose 0 = 11*w + 90 + 75. Calculate the lowest common multiple of x(w) and 18.
90
Let g(t) = -3*t**2 + 12 - 5*t + 0*t**2 + 3*t + t**3. What is the smallest common multiple of g(0) and 24?
24
Let u = 20 + -10. Let z(w) be the third derivative of w**4/12 - 5*w**3/3 + 5*w**2. What is the smallest common multiple of z(11) and u?
60
Suppose 10*n - 36 = 6*n. What is the lowest common multiple of 10 and 2 - -7 - (-6 + n)?
30
Let f be ((-36)/(-20) - 2) + 348/(-10). Let x = -13 - f. Calculate the lowest common multiple of x and 80.
880
Suppose -5*b - b = -84. Calculate the smallest common multiple of b and 42.
42
Let g = 19849/7520 + 48/235. Find the common denominator of g and -101/10.
160
Let i(c) = 2*c. Let h be i(1). Suppose -f + 42 = -h*f. What is the common denominator of (2 + f/22)*-6 and -12?
11
Suppose -3*b - 3*p = 0, 0 = -4*b - p + 3*p + 12. Suppose b*w = 60 + 68. Calculate the smallest common multiple of w and (-4)/(-14) + 608/28.
704
Let p = 1180/13 - 10461/130. Calculate the common denominator of (-104)/14 + (-14)/49 and p.
70
Let z(p) = 13*p - 9 - 6 + 7. What is the least common multiple of z(1) and 7?
35
Let i = 420753983/3586608 - 2/224163. Let a be (-942)/(-8) + (-2)/(-8). Let b = a - i. Find the common denominator of b and 101/14.
112
Calculate the smallest common multiple of 8 and 23968/535 + 2/10.
360
Let l = 20543/9 + -2285. Let q = 191635/1122 - 2842/17. Let u = q + 72/11. Find the common denominator of u and l.
18
Let f(x) = 4*x**2 - 29*x - 43. Let b be f(-20). Let u = b + -19177/9. Find the common denominator of u and 21/8.
72
Let u = -71 + 73. Let z be 4/(-14) + 58/7. Let x = z - u. Calculate the smallest common multiple of x and 6.
6
Let h = 501 - 496. Suppose -q + 5*q = x + 44, 2*q + 4*x - 22 = 0. What is the least common multiple of q and h?
55
Let w(h) = h**2 + 6*h + 1. Let q be w(-3). Calculate the common denominator of ((-66)/(-8))/(7 + q) and 45/8.
8
Let h be -2*(-4)/16*0. Suppose -5*x - x - 6 = h. Let g(k) = -4*k - 3. What is the smallest common multiple of g(x) and 9?
9
Let p = -467 - -481. What is the lowest common multiple of 42 and p?
42
Let f = 1475 - 17807/12. Find the common denominator of 137/6 and f.
12
Suppose 780*n + 24 = 783*n. What is the lowest common multiple of 15 and n?
120
Let r = -150655/18 + 8367. Find the common denominator of 31/54 and r.
54
Let k = 5704 + -2736. Let u = k - 29709/10. Find the common denominator of -25/2 and u.
10
Let a be 4/(-14) - 605/(-2135). Let x = a + -2127/3416. Calculate the common denominator of x and 42.
8
Let b(n) = 15*n**2 - 7*n + 9. Let j be b(6). What is the common denominator of (j/(-48) - -4) + 4 and -51/4?
16
Let s = -53 - -32. Find the common denominator of 13/9 and (80 + 3)*-1*(-1)/s.
63
Let p = 40 - 29. Calculate the smallest 