p(f) = 7*f**2 - 12*f - 30. What is the lowest common multiple of p(-2) and 2?
22
Let j be (162 - -2)/(-1) - -2. Let k = -519 - j. What is the common denominator of -115/12 and 3*(1 - k/(-198))?
132
Let r be ((-901)/(-3))/((-21)/9). Let w = r + 123. What is the common denominator of -47/11 and w?
77
Suppose 0 = -r - 3*d + 13, 3*r + d - 11 - 4 = 0. Suppose z + 2*i = -z - 8, -2*i - 6 = r*z. Let l = z + 2. Calculate the lowest common multiple of 4 and l.
12
Let g = -88 + 85. Find the common denominator of (-744)/(-144) + g/1 and 59/128.
384
Let v(n) = 12*n**3 - n**2 + 1. Let d be v(-1). Let j be d/42 + 86/7. Find the common denominator of j/32 + -1*1 and -18/11.
88
Find the common denominator of 2/40*-6*29/12 and 93/34.
680
Let n be (-708)/(-90) - 6/(-45). Calculate the least common multiple of n/((-4)/2) + 6 and 5.
10
Let r = -110/619 + -24611/32188. Find the common denominator of 1/39 and r.
156
Let n(j) = -j**3 + 14*j**2 - 15*j + 39. What is the smallest common multiple of 12 and n(12)?
588
Let f = -92 + 96. Calculate the common denominator of 41/24 and ((-228)/(-27))/f - 6/(-6).
72
Calculate the common denominator of -61/48 and 309/(-45) + 6/(60/2).
48
Find the common denominator of (42/35)/(104/110) and 28/3.
78
Let s = -851/18 + 251387/5310. Let p = -3/51162592 - 54740774893/15092964640. Let z = s + p. What is the common denominator of -45/16 and z?
16
Let i = -166249/33 - -5036. Calculate the common denominator of i and 79/297.
297
Calculate the least common multiple of 500 and 12/(-26) - (-10982)/247.
5500
Suppose 18 + 17 = 2*c - 5*y, 5*c - 5*y - 50 = 0. Calculate the common denominator of (c/(-25))/(14/(-445)) + 1 and -99/16.
112
Calculate the lowest common multiple of 40 and (14 - -1*1)*552/414.
40
Let z be (16/(-20))/(1/(-5)). Suppose 2*q - 2*a + z = 0, 0 = 4*q - 5*a + 8 + 4. What is the common denominator of -23/12 and 31/2 - q/2?
12
Let y = -14270/188221 + 5/1562. Calculate the common denominator of y and -89/2.
482
Let q = 538663723/18 + -29935630. Let f = q - -9871. What is the common denominator of f and 195/18 - ((-4)/(-3))/2?
18
Suppose -3*g - 4*c + 198 = 0, -g = 2*g + 5*c - 198. Suppose -2*b - r + g = 2, 3*r = 2*b - 48. Let p = b - 20. What is the lowest common multiple of p and 6?
30
Let g = -8 - -13. What is the least common multiple of g and 620?
620
Let q = 124 + -355. Find the common denominator of q/(-4)*(-9)/(-135) and -59/2.
20
Let z(s) = 2*s**2 + 7*s - 10. Let l be z(-11). Let h = l - 148. Let c(r) = -3*r - 6. What is the smallest common multiple of h and c(-4)?
42
Let r = 32/97 + 5935/5238. Calculate the common denominator of r and 55/4.
108
Let d = -13 + 25. Let p = -199 + 281. Calculate the lowest common multiple of d and p.
492
Suppose -4*v + 149 = -5*w, 2*w = -2*v - 2*w + 68. Calculate the smallest common multiple of v and 340.
3060
Suppose -16*o = -8*o - 52616. Let k = 72291/11 - o. Find the common denominator of k and 35/22.
22
Suppose -g = -2*g + 709. Let k = 362 - g. Let x = -5509/16 - k. Find the common denominator of x and 17/8.
16
Let z = 12 - 11. Let w be (z/(-2))/((-1)/34). Let p = -5 + w. What is the smallest common multiple of p and 6?
12
Let a be 2/(-7) - 0 - (-215238)/203. Let q = -8519/8 + a. Find the common denominator of q and 83/48.
48
Let w = -555 - -558. Let c be ((-26)/(-6))/(4/132). Suppose 0 = 3*d + 2*f + c, -w*d + 2*d - 2*f = 53. What is the common denominator of d and -35/9?
9
Suppose 0 = -2*l + 2*a - 10, -44 = 5*l + 3*a + 5. Let g be (12/l)/(1/(-12)). Suppose g - 5 = q. What is the lowest common multiple of 9 and q?
117
Let n = 2254/9 - 252. Calculate the common denominator of -67/75 and n.
225
Let j = 1770 + -10541/6. Find the common denominator of j and -97/142.
426
Suppose 185 = z + 4*r, 3*z + 4*r = 709 - 186. Calculate the smallest common multiple of 6 and z.
1014
Let d be 22756/20 - (-2)/10. Let c = d + -20489/18. Calculate the common denominator of 22 and c.
18
Suppose -75*q + 80*q - 20 = 0. Suppose 79*x = 82*x - 42. Calculate the smallest common multiple of x and q.
28
Suppose 0 = 3*d + 2*k - 34, -2*k + 0*k + 24 = 2*d. Let f(j) = -j - 5. What is the lowest common multiple of d and f(-13)?
40
Suppose 3*k = 3*w - 5*w + 3, -5*k + 2 = 3*w. Calculate the common denominator of -25/6 and ((-445)/15)/(30/w).
30
Let s be ((-111)/54 + 2)*-686. Let t = s - 1075/36. What is the common denominator of (129/108)/((-1)/(-2)) and t?
36
Find the common denominator of (-85)/153*(-114)/(-45) and 35/36.
108
Let y = -4542 + 149857/33. Calculate the common denominator of -145/12 and y.
132
Let r(k) = k**3 - 7*k**2 + k + 6. Let z be r(6). Find the common denominator of 2/z - (-6)/36 and 29/4.
12
Let r be (-35)/21 + (-2)/6. What is the least common multiple of ((-34)/(-6) - 3)*(-3)/r and 1?
4
Let c = -30 + 50. Let g = -13 + c. Calculate the smallest common multiple of g and 9.
63
Let w = 22 + -19. Suppose 7*a - w*a = -4, 431 = 3*d + a. Find the common denominator of (-21)/d*(0 + 3) and 41/18.
144
Let k = 0 - -12. Let l be 29/3 + k/(-18). What is the lowest common multiple of 8 and 4/3*l - -2?
56
Suppose -18 = -3*z + 5*y, -4*z + 2*y = 3*y - 24. What is the lowest common multiple of 266 and z?
798
Let z = 54/437 + -20902/13547. Calculate the common denominator of z and -9/11.
341
Let f be 5/4 + (-2)/8. Suppose 1 = -2*n - 1. Let l = f - n. Calculate the least common multiple of 5 and l.
10
Let s be 3 + 2 + 0 + -1. Suppose 258*w + 6 = 252*w. Let y = s - w. Calculate the smallest common multiple of y and 6.
30
Suppose 37 = 3*c + 4*z, -2*z + 5 = -3. What is the least common multiple of 77 and c?
77
Let d(g) = -12*g - 238. What is the smallest common multiple of d(-20) and 706?
706
Let l(z) = z**3 + 11*z**2 + 13*z + 3. Let q be l(-11). Let b = -81 - q. Find the common denominator of (11 - 10) + b/(-10) and -89/6.
30
Let f = -344 + 366. Calculate the least common multiple of f and 14.
154
Let b be 2 - 0/(3 + 0). Suppose -8 = -3*o + b*o. Suppose -f = 17 - 21. What is the lowest common multiple of f and o?
8
Let x = 104 - 111. What is the common denominator of 4 - 220/(x - -2) and -57/4?
4
Calculate the common denominator of 53*(33/(-72))/(-11) - 2 and -143/48.
48
Let v = -564 - -1099/2. Let g(t) = -t**2 - 3*t - 1. Let a be g(-1). Calculate the common denominator of (-1)/((-53)/71 + a) and v.
18
Find the common denominator of 76/39 and (-6)/20*12/27*-8.
195
Let i(x) = x**3 + 12*x + 3. What is the smallest common multiple of 11 and i(3)?
66
Let b = 12 - 2. Let h(i) = -2*i - 21. Let t be h(-9). Let p(a) = -a**2 - 2*a + 4. What is the lowest common multiple of p(t) and b?
10
Let a be (-182)/49 + (-1 - 10/(-14)). Calculate the least common multiple of 22 and a/(((-4)/(-24))/(4/(-12))).
88
Suppose -r = -4*l - 53, 2*r + 5*l - 76 = 7*l. Calculate the lowest common multiple of 153 and r.
1683
Let d = 21535/8216 + 4/1027. Let k = d - 7/24. Calculate the common denominator of k and 18/(-20)*(2 + -11).
30
What is the common denominator of -11/84 and ((-82)/(-168))/(-1*(-2)/8)?
84
Let q be 3/(-1*(-2 + 1)). Suppose 2*i = 4*y, i = -q*y + 14 - 4. Suppose y*n + 8 = 7*x - 3*x, 0 = -5*x + 5*n. What is the least common multiple of 2 and x?
4
Let l(y) = -y + 34. Find the common denominator of 49/34 and l(1).
34
Let k = 16 + -22. Calculate the common denominator of 15/315*(-1043)/k and (-2)/6 + (-249)/90.
90
Let r(o) = o**2 + 41*o + 6. Let w be r(-18). Find the common denominator of -3 - 0 - 1290/w and -93/22.
748
Calculate the least common multiple of -5*-3*42/15 and 4.
84
Let k(i) = i**3 + 18*i**2 + 18*i - 4. Let b be k(-17). Find the common denominator of 172/b + (-5)/(-15) and 16/7.
7
Let f(y) = 53*y. Let k be f(1). Suppose -4*x - k = -5*j - x, 0 = -4*j - 4*x + 68. Let l = -2 + j. What is the lowest common multiple of 9 and l?
99
What is the common denominator of -5/36 and 6864/(-640) + (-3)/(-5)?
72
Let w(h) = -3*h**2 - 28*h + 11. Let b = 6 - 15. What is the smallest common multiple of 8 and w(b)?
40
Let q(r) = 2*r - 21. Let w be q(6). Find the common denominator of (-3)/(-6)*213/w and 85/8.
24
Calculate the common denominator of -93/8 and (-2 - (-39)/(-6))*(-25)/2435.
3896
Suppose 0*q + 2 = 2*q, -5*v + 20 = -5*q. Suppose -5*j - 5 = t + 1, -v*t + 3*j + 26 = 0. What is the smallest common multiple of 10 and t?
20
Let o(f) = -f**2