t x(f) = 12*f**3 - f**2 - f + 1. Let p be x(1). Suppose -96 = -h + 47. Calculate the lowest common multiple of 1976/h + 2/p and 32.
224
Let n be ((9 - 4) + -4)*-1. Let j be (4 - 4/n) + -1. Suppose -j*z = -6*z - 6. Calculate the smallest common multiple of z and 6.
6
Let z = -50 + 88. Suppose 13*q + 60 = 16*q. What is the smallest common multiple of z and q?
380
Let o = 28711/15090 + -4/1509. Let n = 85617533/12 - 7130641. Let b = n - 4164. What is the common denominator of b and o?
60
Let l = -7 + 1. What is the common denominator of -51/7 and (-813)/72 + (-4)/l?
56
Let w = 45 - 33. Find the common denominator of (-97)/w*1/2 and -131/12.
24
Let a = 187 + -185. Suppose 5*k = k - a*u + 86, 5*u = -5*k + 115. Let s = -21 + 37. What is the least common multiple of k and s?
80
Let d = 831 - 828. What is the lowest common multiple of 33 and d?
33
Suppose 4*z = 3*z + 3, 3*g - 39 = 5*z. Let j(c) = -47*c - 225. Calculate the least common multiple of j(-5) and g.
90
Let p(c) = -c**3 + 7*c**2 + 6. Let f(k) = k - 1. Let g be f(-8). Let v be -3*3/g + 6. What is the lowest common multiple of 3 and p(v)?
6
Suppose 0 = 10*x - 11*x - 28. Calculate the common denominator of 53/14 and ((-1359)/(-48))/(63/x).
84
Let t = 4847/6 + -795. Let j be (-2)/(2/3) - -4. What is the common denominator of t and (69/6)/(2 - j)?
6
Let o = -1 - -5. Let a be (12/(-14))/((-1)/7). Suppose 5*h - 10 = 2*h - 4*p, 4*p = -h + a. What is the lowest common multiple of h and o?
4
Let b = -4941/2150 - 2/1075. Find the common denominator of b and -2 + 4 + -2 - 6477/(-612).
60
Suppose -50*o + 11520 = 10*o. Calculate the lowest common multiple of o and 5.
960
What is the smallest common multiple of 40*((-12)/(-8) + 6) and 175?
2100
Let h be 3*-1*-4*(-5)/20. Calculate the least common multiple of 22 and (-2)/(2 + h) - -4.
66
Let w = 6515/28 - 909/4. Let d = -2573/2 - -1317. What is the common denominator of d and w?
14
Let g be (-1)/2 + (-36)/(-24). Suppose -4*j = -8, 3*p + 3*j = 7*j + 10. Let z = p - g. What is the least common multiple of z and 6?
30
Suppose v - 186 = -4*d - 4*v, -5*d - 2*v = -241. Suppose 4*m - 3 = -11. Calculate the common denominator of m + 230/(-12)*1 and d.
6
Let v(o) = -9*o**2 + 2*o + 3. Let x be v(3). Find the common denominator of (-153)/x*(-7 + 1) and ((-43)/30 - (-3)/9) + 3.
20
Find the common denominator of (3 + (-38)/12)*3 - 6 and -93/10.
10
Let d = -393 - -1092. Let u = d - 1491/2. What is the common denominator of u and 24?
2
Let y be (6/(-4))/((-6)/180). Let z = -70 + y. Find the common denominator of 6/(-16)*z/3 and 43/20.
40
Find the common denominator of (-3)/36*402/(-8) and 182/24 + (40/60)/(-2).
16
Suppose 12*h + 134 + 34 = 0. What is the common denominator of (h - -7) + -1*3/(-12) and -17/16?
16
Suppose 17*f - 8*f = 126. Let t = 96 + -42. What is the lowest common multiple of f and t?
378
Find the common denominator of 50/59 and (-1 - 45/(-30))*254/(-42).
2478
Let p(g) = -g**3 - 16*g**2 + 17*g + 33. What is the lowest common multiple of p(-17) and 33?
33
Let k = -299/9 + 7388/225. Calculate the common denominator of -54/65 and k.
975
Let b = 77 + -34. What is the common denominator of 127/18 and b/22 + 1 - 4/22?
198
Suppose -y + 252 = 4*m, -3*m + 166 = -0*m - 5*y. Let o(q) = q**3 + 7*q**2 + 5*q - 9. What is the lowest common multiple of m and o(-5)?
496
Suppose 5*f + 2*i + 709 = 2835, -4*f + 5*i = -1681. Find the common denominator of -137/18 and 0 - 1 - f/(-144).
18
Suppose 45056 = 37*w - 39*w. Let v = w - -495713/22. Calculate the common denominator of 97/8 and v.
88
Suppose m + 7 = k, -4*k - m = -82 + 39. What is the lowest common multiple of k and 25?
50
Let d(j) = 1589*j + 1. Let n be d(2). Let k = -12627/4 + n. Calculate the common denominator of 31/14 and k.
28
Suppose d - n = 37, 24*d + 2*n = 19*d + 164. What is the lowest common multiple of d and 204?
204
What is the common denominator of -103/780 and 8015/(-630) - (-1 + -5)?
2340
Let o be ((-252)/(-45))/(2/10). Suppose -4*s = 4*r - o, -2*r = -2*s - 14 - 12. Suppose 0 = -u - 4*u + r. What is the lowest common multiple of u and 14?
14
Let m = -42874 - -6173741/144. Calculate the common denominator of m and 67/4.
144
Suppose 3*j = j + 966. Let c = j - 4375/9. Let r = 1/4644 - -105263/4644. Find the common denominator of c and r.
9
Suppose i + 12956 = -3*i. Let w = 19375/6 + i. Find the common denominator of (-1 + 2 + 40)/(23 + -13) and w.
30
Let w = -601 - -617. What is the smallest common multiple of w and 40?
80
Let k = -3593397/56 + 64166. Find the common denominator of k and 50/147.
1176
Find the common denominator of (-3928)/(-480) - (-18)/(-30) and -119/114.
228
Suppose 5*q = -4*n - 17, 2*n + 3 = -4*q - 13. Suppose o - n*o + 8 = 0. Suppose 0 = 5009*x - 5040*x + 310. Calculate the lowest common multiple of x and o.
40
Let y(s) = -4*s**2 + s - 1. Let k be y(2). Let d(z) = z**2 + 2*z - 7. Let j be d(3). What is the common denominator of -14/9 and k/(-6) - j/(-12)?
18
Suppose -6*k + 2948 = 44. Find the common denominator of k/24*3/(-6) and 174/(-40) - 3/(-3).
60
Let y be (23 + -4)*(0 + 1). Let c(q) = q**3 - 20*q**2 + 20*q - 9. Calculate the least common multiple of c(y) and 7.
70
Let w = -7207501/7158 - -98/1193. Let v = 1206 + w. Let h = -202 + v. What is the common denominator of 121/6 and h?
6
Let c = -562 - -1007. Let z = c + -645. Calculate the common denominator of z/96*46/10 and -91/18.
36
Let j = -4/21645 + -157259/151515. What is the common denominator of j and 37/87?
3045
Let f be (-1*6)/3 + 0. What is the common denominator of -41/8 and 6/f + (-23)/(-18)?
72
Let i = 1060 - 7451/7. Let j = -53/14 - i. What is the common denominator of 1/(-6)*(-26 + 0 + 5) and j?
14
Let u = -2/7829 + -117317/461911. Find the common denominator of 1/11 and u.
649
Let w = -8108 + 267485/33. What is the common denominator of w and 2/63?
693
Let o be 3 + (2 - 5) + 0. Suppose -2*c - 24 = -3*c - 3*a, o = -4*c - 5*a + 75. What is the common denominator of c - 13 - (-230)/(-16) and 1/10?
40
Suppose 8*m + 108 = 13*m + 3*u, 2*u = -8. What is the smallest common multiple of 338 and m?
4056
Suppose -2*k = 5*c - 0 + 9, 0 = -5*k + c + 45. What is the lowest common multiple of 32 and k?
32
Suppose -3*w + 42 = 5*d - 4*w, 3*d - 32 = 4*w. Find the common denominator of (-16)/((-1 + d)*-7) and -149/6.
294
Let n be (494/(-65))/((-72)/24890). Let s = 2626 - n. What is the common denominator of s and 25/24?
72
Let n = 206226989/74568 - -17/9321. Let u = n + -2770. What is the common denominator of u and -23/8?
8
Suppose 3*r = 5*d + 5021, -4 + 0 = d. Let j = 6739/4 - r. Calculate the common denominator of -37/12 and j.
12
Let y = -8923883 + 10083986939/1130. Let l = y - -6/113. Let q = -13741/10 - -1372. Calculate the common denominator of l and q.
10
Suppose 2*r + 4*a - 20 = 0, -3 = 3*r + a - 6*a. What is the smallest common multiple of 6 and (r/6)/(1/9)?
6
Let i = -480 - -4268/9. Let m = -27 + 24. What is the common denominator of i and (m*(-11)/9)/1?
9
Let p = 1359/10960 + -5/137. Let i = -529/560 + p. Suppose 0 = -4*x + 14 - 78. What is the common denominator of i and x?
7
Suppose 3*s + 15 = 3*b, 3 = b + 5*s - 2. Calculate the common denominator of -11/6 and b + (1675/330)/(-1).
66
Suppose 11*x - 15 = 6*x. Find the common denominator of 41/20 and ((-18)/120)/x*(-158)/1.
20
Let p(c) = -7*c**3 - c**2 - 2*c. What is the smallest common multiple of 8 and p(-1)?
8
Let d be ((-3)/10)/((-3122)/3128 + 1). Let o = d + 157. Find the common denominator of -6/5 and o.
5
Let c(a) = -a**3 + 5*a**2 + 2*a - 6. Let q be c(5). Let k = q - -1. Suppose 30*i - 193 - 497 = 0. Calculate the least common multiple of k and i.
115
Suppose 5*g - 26 = -3*q + 6, -3*q + 8 = -g. Suppose -q*i - 24 = -7*i. Let c = 19 - 5. Calculate the smallest common multiple of i and c.
56
Let b(v) = -v**2 + 10*v - 15. Let i(w) = -3*w - 1. Let j(k) = k - 6. Let m be j(3). What is the least common multiple of b(6) and i(m)?
72
Suppose 2*g - g - 36 = -4*v, 0 = -5*g + 3*v + 111. What is the common denominator of -23/6 and (-4)/g*282/(-4)?
12
Let h(s) = 34*s**2 - 6*s + 6. What is the smallest common multiple of 102 and h(1)?
102
Let t be (-4)/14 - 48/28. Let f be t*10*2/(-8). Suppose f = v, -7 = 3*m + v - 27. What is the least common multiple of 8 and m?
40
Calculate t