Let o(b) = 15*b**2 - 43*b + 44. What is the least common multiple of 126 and o(11)?
1386
Suppose -h + 2554 = -2*f, 5*f - 8 = -3. What is the smallest common multiple of 66 and h?
28116
What is the common denominator of -99/28 and (-49 - -46) + 337/72?
504
Let t = 46247/8 - 5793. Calculate the common denominator of 79/64 and t.
64
Suppose 2*s = -4*c + 34, -22*s + 26*s - 13 = 3*c. Calculate the lowest common multiple of 488 and s.
3416
Let n be ((-15)/195)/((-27)/21). Let t = -9889/936 - n. Find the common denominator of -5/24 and t.
24
Let r be 2/(-3) - (-385)/33*1. Let c(w) = -w**3 + 12*w**2 - 7*w - 8. What is the least common multiple of c(r) and 24?
72
Let u be (-12)/(-21) + (-4 - 190/(-35)). Suppose 0 = u*q - 27 - 9. Calculate the least common multiple of 27 and q.
54
Let z = -383540/43 - -82715081/9288. Let x = z - -110/27. Calculate the common denominator of -17/140 and x.
280
Let m(a) = a**2 - 11*a + 30. Let o be m(6). Suppose 4*c - 9*c + 20 = o. Suppose -c*h + 12 = -2*h. Calculate the least common multiple of h and 13.
78
Suppose -16*v + 16128 = 14*v + 34*v. What is the smallest common multiple of v and 144?
1008
Let f = 629038894500/70783 - 8886864. Let n = f - 372035388/353915. Let s = -1047 - n. What is the common denominator of s and 5/3?
15
Let j = 1619/649040 - 3/4880. Let c = 6934757/249774 - 9133/313. Let t = j - c. Calculate the common denominator of 37/220 and t.
660
Let n = -207 - -266. Let s(z) = -2*z**2 + 5*z + 3. Let c be s(-4). Let p = c + n. Calculate the least common multiple of p and 4.
20
Let n be (1 + -3)/(((-6)/520)/3). Find the common denominator of 107/52 and 3 + 90/(-25) - (-477)/n.
104
Let a be (-10)/(-3) + (-1)/((-6)/4). Suppose a*i - 2*v - 140 = 0, 4*v - 44 = -i + 9*v. What is the smallest common multiple of i and 18?
306
Let o(v) = 2*v + 8. Let j be o(8). Suppose 16*n + 720 = j*n. Let d = 102 - n. Calculate the smallest common multiple of d and 8.
24
What is the common denominator of 2/12*37*198/(-110) and 705/144 + 6/(-18)?
80
Suppose -2*z - 296 = -312. Let d(t) = 2*t + 24. Calculate the lowest common multiple of d(-7) and z.
40
Suppose -251 = -5*f + 19. Let r(y) = 3*y + 30. What is the lowest common multiple of f and r(-9)?
54
What is the least common multiple of -3117*22/(-165) + 6/15 and 40?
2080
Let w = -915 + 922. What is the lowest common multiple of w and 8?
56
Let o be 1*4 + 9 + 9 + -1. Calculate the common denominator of -109/26 and (-2)/o*3 + 270/(-770).
286
Let t = 9754 - 8146. Calculate the least common multiple of 72 and t.
4824
Let r be 6/(-18) + (-54035)/(-15). Let q = 32354/9 - r. Find the common denominator of q and 4/3*(-2 - 282/(-88)).
99
What is the smallest common multiple of 290 and (10 - (7 - 3)) + (-6 - -2) - -38?
1160
Let x(l) = -l**2 + 11*l - 22. Let u be x(11). Let n = -2 - u. Find the common denominator of 15/19 and (425/n)/(6/(-4)).
114
Let j = -3679717/129527930 - 1/85610. What is the common denominator of j and -39/119?
10591
Let y(v) = 2*v**3 + 4*v**2 - 10*v + 21. Suppose -58*o + 70*o = 36. What is the lowest common multiple of 36 and y(o)?
324
Let m = -71179/8 + 8894. Calculate the common denominator of m and 93/17068.
34136
Let h(n) = n**3 + 2*n**2 - 5*n - 3. Let o be ((-65)/(-15) - 1/(-6))*2. Suppose -60 = -o*d + 30. Calculate the smallest common multiple of d and h(-3).
30
Let j be (2 - 577277/(-2))/(-24). Let c = -12022 - j. What is the common denominator of (-1)/(-20)*-106*(-1)/1 and c?
80
Let n(g) be the second derivative of g**5/5 - 5*g**4/12 + 8*g**2 - 3*g + 17. What is the least common multiple of n(4) and 24?
192
Suppose -17*y + 11*y = -12. Suppose -y*x + 13 + 19 = 4*c, 49 = 4*x + 3*c. What is the smallest common multiple of x and ((-4)/18)/(9/(-81))?
10
Suppose -6*g = 15 - 69. Suppose -g*a + 3*a = -156. What is the lowest common multiple of 8 and a?
104
Let d = 927595/101656 - -2/12707. Let l be (64/48)/(10/(-6) + 2). Find the common denominator of d and 131/(-15) + 3 - l/(-10).
24
Let h be (-1)/(-18)*-4 + (-190)/(-45). Suppose -5*k + 5*g = -15, 3*k + h*g + 14 = 6*k. What is the common denominator of (-14)/40*2 - (k + 2) and 119/48?
240
Let w be (-393)/36*-92 + 3/(-9). Let s = 1917/2 - w. Find the common denominator of 111/50 and s.
50
Find the common denominator of -161/180 and 27/(-900)*(-3285)/324.
720
Let a be ((-34)/4)/((-3)/6). Suppose a*q - 8*q = 0. Suppose -4*d + 20 = q, -8*w + 3*d = -3*w - 5. What is the lowest common multiple of w and 4?
4
Let b(w) = -116*w + 4. Suppose -2 + 3 = -3*j + 4*s, 0 = 2*j - 3*s. Let u be b(j). Find the common denominator of -33/20 and (-580)/u + (3 + -7)/(-4).
440
Let i be -3 - 39/(-9) - 45402/(-63). Let g = 729 - i. Calculate the least common multiple of g and 4.
28
Let h be (5 + -16)/(((-1)/(-1))/267). Find the common denominator of -77/57 and h/(-378) - (-2)/7.
342
Let n be (-34)/(-136)*21/139. Let l = 4697/4448 + n. Calculate the common denominator of l and 33/8.
32
Let h(v) = -v**3 + 13*v**2 - 20*v - 18. Let x be h(11). Find the common denominator of x/(-38) - 2725/285 and 115/66.
66
Let p(f) = -2*f**2 - 137*f - 371. What is the lowest common multiple of 28 and p(-65)?
84
What is the common denominator of -93/20 and 4 - 2 - (-15 - 605534/(-35608))?
89020
What is the common denominator of 143/1026 and 5/(15/(-21)) - (-3 - (-269)/(-72))?
4104
Let t be ((-82934)/82910 + 1)*(-17)/(-34). Let s = 1864059/9783380 - t. What is the common denominator of 1/6 - (22 + -5) and s?
708
Suppose -8 = -x + 14. Suppose 0 = -28*l + x*l + 96. What is the smallest common multiple of 4 and l?
16
Let i be (-98)/(-8) - (-6)/(-24). Suppose 54*k - i = 51*k. What is the least common multiple of 6 and k?
12
Let r be -4*(-5)/4 - 2. Let q be (-4)/(2 + (r - 3)). Let i = q + 9. Calculate the smallest common multiple of 11 and i.
77
Let v(t) = t**2 + 2*t - 3. Let z(n) = 3*n**3 - n**2 - n - 1. Let h be z(-1). Calculate the least common multiple of 189 and v(h).
945
Let m = 8565 + -6749. Calculate the smallest common multiple of 454 and m.
1816
Let g(y) = -29*y + 1908. What is the smallest common multiple of 423 and g(63)?
3807
What is the lowest common multiple of -2*(-5151)/42 + (-5)/((-210)/(-12)) and 42?
1470
What is the common denominator of -61/5 and (96/1408)/((-945)/(-254))?
6930
Suppose -4*g + 31 + 1 = 0. Suppose -3*f + 5*u = -g*f + 320, -74 = -f + 4*u. What is the smallest common multiple of 12 and f?
132
Suppose j + 5*s = 75, 2*s + 78 = -13*j + 15*j. Calculate the least common multiple of j and 930.
2790
Let x(o) = -o**3 + 12*o**2 - 17*o - 39. Let s be x(10). Find the common denominator of 121/186 and (s/54)/(1/303).
186
Let d = -1156253056223/160 + 7226524643. Let m = d - -56958. What is the common denominator of m and 109/20?
160
Let q = 129541/495 - 2898/11. What is the common denominator of q and 1/2*(-2)/(-36)?
180
Let r be (177/(-15))/((-888)/40). Let o = 521/296 + r. What is the common denominator of 23/15 and o?
120
Suppose -r - 6 = -3*r. What is the common denominator of (28/105)/(r/35) and (-12)/15*(465/10)/(-3)?
45
Let l = -949/3 - -9583/30. Let k = -69337/24 - -2888. What is the common denominator of l and k?
120
Let p be 32/40*(1 + 16/4). Suppose -10*h - 4*l - 21 = -13*h, 0 = p*h + 3*l - 28. Calculate the lowest common multiple of (8/(-5))/(2/(-10)) and h.
56
Let g = -5823 + 5903. Let d(y) = 6*y - 6. Suppose 10 = -0*o + 4*o + 2*r, -3*r - 13 = -o. Calculate the smallest common multiple of g and d(o).
720
Let c(h) = -56*h - 540. What is the least common multiple of c(-10) and 832?
4160
Let i be (698/12)/(5/(-236)). Suppose -33*h = -36*h + 18, y + 3*h - 2761 = 0. Let t = i + y. Find the common denominator of t and -55/27.
135
Suppose 0*p + p - 2 = 0. Let j = -1299 - -1300. What is the smallest common multiple of p*1*(j + 8) and 16?
144
What is the lowest common multiple of ((-3162)/9)/((-25)/75) + (6 - 0) and 40?
2120
Let m = 106 - 91. Let k be (-2 + 11/4)/((-7)/28). Calculate the lowest common multiple of 30/(k - 0/(-2) - -5) and m.
15
Suppose -4*g - i + 159 = 34, 5*i + 111 = 3*g. Calculate the smallest common multiple of 320 and g.
320
What is the common denominator of -55/27 and (-477883)/(-59787) - (-120)/(-6)*(-2)/(-5)?
25623
Let u(v) be the first derivative of -39*v**2/2 - 5*v - 44. Suppose 5*g - 55 = 55. What is the smallest c