- 7*t**2 - 3*t + 7. Let f be r(n). Let g = f + -1215/2. Find the common denominator of g and -61/8.
8
Let q = 4 + 2. Suppose -4*j = -q - 114. Suppose 3*a - j = 36. What is the least common multiple of 8 and a?
88
Let f = 806 + -8882/11. Find the common denominator of (50/(-6))/((-2)/(-12)) and f.
11
Let u = -3061/780 + 194/39. Find the common denominator of u and -27/32.
160
Let v = -3 + 6. Let m be (-20)/(-15)*39/4. Suppose v*f - x - m = 0, -3*f - x + 12 = 1. What is the lowest common multiple of 7 and f?
28
Suppose -54 = 110*m - 113*m. What is the smallest common multiple of 15 and m?
90
Calculate the common denominator of (-33)/(-44) - (-2)/(-72) and 11/16.
144
Calculate the common denominator of (-76)/88 - (1 - 3) and 113/10.
110
Let l = -18 - -29. Let j = l - 10. What is the smallest common multiple of j and 2?
2
Find the common denominator of ((-18)/4)/(-1*3) and -3 + 1 - 89/(-20).
20
Let l = -34 + 40. Calculate the least common multiple of 4 and l.
12
Let q = -1/170 - -307/170. Find the common denominator of q and 71/9.
45
Calculate the common denominator of -26*((-1)/12 + 1) and -77/6.
6
Calculate the least common multiple of 22 and (72/(-9))/((-4)/6).
132
Suppose -w - 2*w = 51622563. Let l = -12940058879/752 - w. Let x = 49/47 + l. Calculate the common denominator of -49/2 and x.
16
Let g = 266 + -5799/22. Find the common denominator of g and (1*-7)/((-2)/5).
22
Let g(t) = t**3 - 8*t**2 - t + 3. Let h be g(8). Let p = -1 - h. Calculate the least common multiple of p and 9.
36
Let a = 1842 + -3201. Let u = 1719211 - 17178493/10. Let v = a + u. Calculate the common denominator of v and 3/14.
70
Let d(g) = 2439980*g**2 - 3. Let n be d(-4). Let s = 24594987061/630 - n. Let y = -243/35 - s. Find the common denominator of y and 27/14.
126
Suppose 0 = -w + 4 - 1. Suppose -2*y + 11 = w. What is the smallest common multiple of 1026/(-399)*5/((-30)/28) and y?
12
Let i = -4880 + 78039/16. Let x(k) = -k**3 - 5*k**2 + 8*k + 4. Let w be x(-6). Calculate the common denominator of i and (-2)/(-4)*(-316)/w.
16
Suppose 4*o + x - 116 = 0, -3*o + 136 = 2*o - x. Calculate the smallest common multiple of o and 20.
140
Let v = 50 - 42. What is the least common multiple of v and 9?
72
Let u = 5243/6 + -885. Find the common denominator of u and 31/18.
18
Find the common denominator of -103/26 and (-962)/(-39)*(-1)/(-8).
156
Let s = -4 + 9. Suppose 0 = -5*r + 6*u - 4*u + 22, -7 = -3*r - s*u. Find the common denominator of -7/4 and (r/(-50))/((-4)/185).
20
Suppose 13 = -p + 16. Calculate the lowest common multiple of p and 6.
6
Let i(s) = -s**3 + s**2 + 2*s**3 + 0*s**3 + s - 8*s**2. What is the lowest common multiple of i(7) and 5?
35
Let h = -3 - -5. Let k be h*-1 + 4 - 6. Let m = k + 6. What is the least common multiple of 10 and m?
10
Suppose 9 = 3*q - 3. Suppose 45 = q*o - 43. What is the lowest common multiple of o and -1 - (0 - 0) - -21?
220
Let v(y) = 314*y**3 + y**2 - 2*y - 3. Let t be v(-3). Let s = -18739 - t. Let d = s - -102847/10. Calculate the common denominator of 33/20 and d.
20
Suppose -2*j - 12 = 4*l, 3 = 3*j - j + l. Let z = j - -2. Calculate the least common multiple of z and 22.
66
Let x be 4/22 - (-48800)/(-268158). Let n = x - 889753/268158. Find the common denominator of (-214)/(-24)*(-2 - 0) and n.
66
Suppose 5*k - 44 - 86 = -4*g, k - 42 = -4*g. Let n(c) = 2*c**2 - 9*c. Calculate the lowest common multiple of n(6) and k.
198
Let j(g) = -6*g - 14. Calculate the lowest common multiple of j(-4) and 10.
10
Suppose m + 0 = -2. Find the common denominator of 158*(-1 - m)/(-4) and -2*((-134)/8 + -2).
2
Let d be 859/100 + (10 - 11). Let f = d + 31/100. Find the common denominator of 49/8 and f.
40
Let q be -5*8 + (-1)/1. Calculate the common denominator of (-3 - q)*1/5 and -87/8.
40
Suppose y + 3 - 12 = 0. Let s = 2 + y. Let h = -2 - -6. Calculate the least common multiple of h and s.
44
Suppose 2*y - 6 = 0, -w = -5*y + 6 + 8. Suppose -21 = -q - 4*l, 5*q - 4*l = -8*l + 57. What is the lowest common multiple of q and (-2)/(-4)*w*18?
9
Calculate the least common multiple of 9 and 18/45*(-10)/(-4).
9
Let c = -1129807/6 - -188913. Suppose -3*d = d + 2496. Let h = d + c. Calculate the common denominator of -83/10 and h.
30
Let a = 4 + -2. Suppose 0 = 2*j - w - 4, 4*j + w = a*j + 8. Calculate the smallest common multiple of j and 7.
21
Let x be 0 - (0/2 - -2895). Let s be (-1840)/x + (-2)/3. Let h = s + -15115/4246. Calculate the common denominator of h and -31/14.
154
What is the smallest common multiple of 21 and ((-294)/(-63))/((-4)/(-18))?
21
Suppose -3*u + c = -2 - 7, -5*u - c = -7. Suppose u*i + 6 = 30. What is the least common multiple of i and 16?
48
What is the common denominator of -55/12 and (30/(-40))/((-6)/(-268))?
12
Let x(t) = 5*t**3 - t**2 + t - 1. Let g be x(1). Suppose -s = -g*s + 60. What is the smallest common multiple of s and 14?
140
What is the common denominator of -25/13 and (7 - 8)*(-86)/(-14)?
91
Calculate the common denominator of (8/(-48))/((-1)/((-12)/9)) and -1*(-20)/(-18)*6.
9
Let k = 37469/3060 - -4/765. Calculate the common denominator of -23/12 and k.
12
Let f be ((-6)/7)/((-436)/879). Let a = -3/218 + f. What is the common denominator of a and 210/(-4)*2/(-24)?
56
Let d = 13/41 + -5039/246. What is the common denominator of d and 77/4?
12
Suppose -56 = y + 29. Let i = 0 - 1. What is the common denominator of i + 3 + y/6 and -32/3?
6
Suppose 0 = 3*x - 4*x + 14. What is the smallest common multiple of 3 and x?
42
What is the lowest common multiple of 11 and ((-26)/65)/(1/(-20))?
88
Let b = -200123 + 4405523/22. Let k = -128 + b. Calculate the common denominator of (98/(-16))/(-2 - -1) and k.
88
Let g be (-26)/(-4) + (-1)/(-2). Suppose g = s - 29. Suppose -w + 3*w = -c - 2, -3*w - s = -4*c. What is the lowest common multiple of c and 2?
6
Let a = -5 - -9. Let z(n) = 2*n + 4. Calculate the smallest common multiple of z(2) and a.
8
Let u(n) = n**2 - 4*n. Let y be u(7). Let j = y - 18. Calculate the least common multiple of j and 5.
15
Suppose 0 = 4*a + 2*r - 46, -5*a + 50 = -3*r - 35. Calculate the smallest common multiple of 10 and a.
70
Let j(n) = 40*n - 5. What is the least common multiple of 11 and j(1)?
385
Suppose 0*w + 6594 = -3*h - w, -4*h - 8792 = 4*w. Calculate the common denominator of h/(-672) - 1/(-6) and -85/2.
16
Let k = 7 - -15. Let l(n) = -5*n**3 + 2*n**2 + 2*n + 1. Let i be (-2)/(4 - (4 - 2)). What is the least common multiple of l(i) and k?
66
Let y(q) = 7*q - 4*q + 5*q**2 - q**3 - 2*q**2. Suppose 0 = -2*k + 2*w - 10, 6 = -5*k - 2*w + 2. Calculate the least common multiple of 18 and y(k).
126
Suppose -2*q = 3*j - 17, 7*j = 4*q + 4*j - 25. Let u = q + 11. Let k = -2 - -14. Calculate the lowest common multiple of k and u.
36
Let v = 67 + -53. What is the smallest common multiple of v and 8?
56
Suppose -2*x = 5*a + 98, -5*a - x - 58 = -2*a. Let k be (-6*(-4)/6)/(-1). Calculate the least common multiple of (a/k)/(15/40) and 4.
12
Suppose -4*g + 3*n = 7 + 13, -5*n + 22 = -g. What is the common denominator of 88*(g - (-20)/8) and -11/9?
9
What is the common denominator of ((-212)/(-78))/(14/(-21)) and 91/8?
104
Let p = -13 + 18. Suppose -2*r - 2*r + 3*n = -45, -21 = -4*r - 5*n. Calculate the lowest common multiple of p and r.
45
Find the common denominator of 150/(-4) + -2 - -1 and -67/6.
6
Let s(k) = -9*k - 24. What is the least common multiple of 68 and s(-4)?
204
Let w be 340/144 + (-6)/3. Let q = w + 7/4. Calculate the common denominator of q and 41/10.
90
Let k = 5 - 3. Let b(w) = -w**2 - 7*w. Calculate the least common multiple of b(-5) and k.
10
Let g = 16 + -60. Let c be ((-3)/597)/(-1 - g). Let f = c - -521987/85570. What is the common denominator of f and -59/16?
80
Let v = 5083/25 + -131363/275. Let i = 29553/110 + v. Let b = -289259/18 - -16074. Find the common denominator of b and i.
90
Find the common denominator of 2*3*9/4 and (-5)/(-15) - (-223)/(-30).
10
Suppose -4*r + 2*r - 4*z = 4, 5*r - 6 = -2*z. What is the common denominator of 91/2 and r - ((-66)/20 - 1)?
10
Calculate the common denominator of 143/18 and (-57)/418*26/6.
198
Let i(u) = u**3 + 5. Let a be i(0). Suppose -2*z + 42 = 4*n, -3*z = a*n - 4*z - 49. What is the lowest common multiple of 7 and n?
70
Suppose -3*w + 36 = 3*a,