
Let y(q) be the second derivative of 7*q**4/6 - q**3/6 + q**2/2 - 12*q. What is the lowest common multiple of 18 and y(1)?
126
Let z = 16917299 - 287744392/17. Let s = 8839 + z. Let q(w) = 4*w**2 - 4*w - 1. Calculate the common denominator of s and q(3).
17
Calculate the common denominator of -121/102 and 6/(-15) + 2652/1080.
306
Find the common denominator of -31/54 and (7 + 830/(-75))*2/(-4).
270
Calculate the least common multiple of 2 and (-46)/(-253) - 2370/(-33).
72
Calculate the common denominator of -41/3 and 32/42*(-2 + 81/12).
21
Let c = 835/1248 + -7/96. What is the common denominator of c and 89/78?
156
Suppose -3*c = -5*i - 10 - 177, -5*i = 2*c - 133. What is the smallest common multiple of c and 88?
704
Find the common denominator of -3/424 and (-2)/8 + 0 + (-3045)/(-540).
3816
Let s = 236 - 158. What is the common denominator of (4/3)/(2*45/s) and 56/3?
45
Let x(j) = -j**3 - 3*j**2 - 7*j - 8. Let d be x(-4). Suppose -6*y = -8*y + d. Calculate the smallest common multiple of 6 and y.
18
Calculate the common denominator of 83/176 and 7/((30492/55)/(-14)).
1584
Suppose 76 = 4*g + 4*y, g - 39 = -4*y - y. Suppose g + 0 = -2*s. What is the common denominator of 43/16 and 606/20*s/21?
80
Let p be (9/(-5))/((-1)/5). Let c be (p - 3) + -2 + -32. What is the common denominator of -52/11 and (22/c)/((-5)/(-12))?
385
Suppose -5*s = 2*f - 331, 2*s - 50 = -4*f + 92. What is the lowest common multiple of 143 and s?
715
Let o = -1005875/42 + 23947. What is the common denominator of -82/33 and o?
462
Let z(v) = v**2 + v + 1. Let y(t) = -t + 5. Let a be y(5). Calculate the least common multiple of 6 and z(a).
6
Suppose -2*h = -3*w - 20, -2*w + 5*w + h + 8 = 0. Let q be -2 - (-7 + (w - -8)). Let v = 19 - q. Calculate the smallest common multiple of v and 2.
18
Let z = 1/1767666576 - -76657512557071/19502665333008. Let x be (-3)/((-3009)/(-979)) - -1. Let a = z + x. Find the common denominator of 37/2 and a.
22
Let f be 1*(-4 - (-4 + 1)). Calculate the common denominator of -1/8 and f/(-3) + 476/264.
88
Let n(f) = 8*f**2 - f - 1. Let z = 90 + -78. Suppose -11*y - 20 = -z*y. What is the least common multiple of y and n(-1)?
40
Find the common denominator of 73/16 and 1*(-2)/2*679/(-970).
80
Let t(w) = -2*w**2 + 3*w + 3. Let g be t(-1). Calculate the common denominator of (-315)/297 - (g/(-12))/1 and (-9)/6*142/(-6).
22
Let w(i) = -3*i - 18. Let s(r) = -r**3 + 2*r**2 + 4*r + 1. Let f be 4/(-10) - 34/(-10). Calculate the smallest common multiple of w(-14) and s(f).
24
Calculate the common denominator of 652/(-7020) - (-16)/52 and -19/45.
135
Let l be -5 + 4 - (0 + 0 - 2). Suppose 5 = 5*z + 5*o, 3*o - l = -2*z - 2. What is the smallest common multiple of 1 and z?
4
Find the common denominator of 41/30 and (25/4)/(185/(-20)*-3).
1110
Let f = 25753 + -55081/2. Let l = 1650 + f. Let g = -457/4 - l. Find the common denominator of g and -65/22.
44
Let m = 78 + -73. Suppose -3*l + 5*y - 6 = 0, m*l - 5*y = 3*l - 9. What is the lowest common multiple of l and 1?
3
Let c(y) = y**2 + 42*y - 255. What is the smallest common multiple of c(-51) and 136?
408
Let j = -9503/80 - -608/5. Let m = 83030 + -3985277/48. Let q = j - m. Find the common denominator of -151/18 and q.
36
Let r = -55 - -51. What is the least common multiple of 7 and (-5)/(r/4*(1 - 0))?
35
Suppose 116*r - 180 = 112*r. Suppose b = 4, 4*b - r = -5*y + 46. Calculate the smallest common multiple of 9 and y.
45
Suppose 5*z - 20 = 0, 2712 = -4*b - 2*z + 7*z. Let s = -6741/10 - b. Let x = 203087/79002 - -5/1463. Find the common denominator of s and x.
270
Suppose 2 = d, d = -3*q - 4*d + 136. Suppose -95*y + 877 = -263. Calculate the smallest common multiple of y and q.
84
Suppose 2*n - 5*v = 56, 2*n - 102 = -3*n + 3*v. Suppose -4*h - 11 = -3*a, 0 - n = -4*a + 2*h. Calculate the lowest common multiple of a and 14.
70
Suppose 9 = -2*i + 5*i. Suppose i*f + 3356 - 578 = 0. What is the common denominator of -16/7 and (-9)/(-21) - f/28?
14
Suppose -24*m = -57*m + 330. Let z = 26 + -8. Calculate the lowest common multiple of m and z.
90
Suppose -3*v + 10 = -2. Suppose -3*p - 4*i = -1, 4*i + 4 = -v*p - 0. Find the common denominator of -10 and (-54)/70 + p/(-25).
7
Let w(m) = m**3 + 5*m**2 - 8*m - 12. Let x be w(-6). Calculate the common denominator of 2 + ((-37)/(-2) - x) and 31/2.
2
Let k be -3 - (3 - (-285)/(-33)). Let m = 739/66 + k. What is the common denominator of 44/80*((-2)/(-2))/1 and m?
60
Let j(l) = 5*l - 11. Let u be j(7). Let n = u + -21. Suppose 4*v = n*m + 59, 2*m + 13 = 5*v - 52. Calculate the lowest common multiple of v and 10.
110
Find the common denominator of -1/20 and (906/(-972))/(((-80)/6)/(-5)).
2160
Suppose 4*k - 3*x - 28 = 0, 3*k - 7*k = -5*x - 36. Suppose -3*u - k + 28 = 0. What is the least common multiple of u and 2?
8
Suppose 6*h + 10 = h. Let g be -2*(0 + 2)/h. Suppose -g*o + 18 = o. Calculate the smallest common multiple of 5 and o.
30
Let q = -144 - -71. Let b = -70 - q. Calculate the common denominator of b and 58/15.
15
Let u(l) = l**2 - 15*l - 80. Let b be u(20). Calculate the common denominator of 2 - 2*(-7)/(-17) and b/(-7) + (12/28)/(-3).
17
Let w(i) = 4*i**3 + 3*i**2 + i + 2. Let m be w(-2). Let n = 29 + m. Calculate the smallest common multiple of n and 7.
63
What is the least common multiple of 1/(9/(-2)) + 15134/63 and 15?
240
Let q be 4 - 2/(6/21). Let c be -2 - ((-6)/q - 8). Suppose -c*x + 1 = -7. Calculate the least common multiple of x and 12.
12
Let v(b) be the second derivative of -b**3/6 + 6*b**2 + 13*b. Let y = 5 + 7. What is the least common multiple of y and v(8)?
12
Let l(v) = v + 5. Let u be l(7). Find the common denominator of -27/4 and (-2)/(u/65)*-2.
12
Let t(j) = 93*j + 2. What is the least common multiple of t(2) and 280/28 + (-3 - 1)*-1?
1316
Suppose -180 = 80*k - 86*k. Calculate the common denominator of (-2)/(-5) + 1 + -1 and 52/k + -2*(-2)/6.
5
Let w = -435 + 445. What is the smallest common multiple of 248 and w?
1240
Let p(c) = -23*c**2 + 2*c - 1. Let q be p(1). Let i = -17 - q. Suppose 8 = -i*h + 6*h. What is the smallest common multiple of 8 and h?
8
Let i = 459 - 869/2. Calculate the common denominator of i and 99/62.
62
Suppose -5*n - 10 = -0*n. Let w(v) = 6*v - 2. Let k(q) = -1. Let d(u) = n*k(u) + w(u). What is the lowest common multiple of d(2) and 6?
12
Let q = 2245/140987 + 2625931531/3383688. Let z = q - 8606/11. What is the common denominator of -10/27 and z?
216
Suppose 3*l = -5*l + 72. Let v be (-117)/15 + (-12)/(-15). What is the smallest common multiple of l and (v - -16)*(-1 + 2)?
9
Suppose -84*h = -69*h - 315. What is the least common multiple of 6 and h?
42
Let w be (231164/(-12))/((-16)/(-3)). Let f = -3610 - w. What is the common denominator of -111/14 and f?
112
Suppose 5*g - 15 - 210 = 0. Suppose -44*l - 29 = -g*l. What is the least common multiple of l and 3?
87
Let m be 6*(15/(-2))/(-5). Suppose m = 3*h, -c - h + 12 = -0*c. Suppose 1 = 2*o - c. What is the lowest common multiple of 6 and o?
30
Let d = -4/7475 - 725027/89700. Calculate the common denominator of d and ((-51)/(-18) - -1) + -1.
12
What is the common denominator of 5/48 and 8555/(-25984) + (-18)/42?
384
Let r(o) = o**2 + 4*o - 13. Let p be 8 - (-2 - (-2 + -3)). Suppose p*i + 3*u - 43 = 0, 5*i - 3*u - 38 = -u. Calculate the least common multiple of r(-7) and i.
8
Let a(o) = o**2 + 2*o - 10. Let l be (0/2 - 4)*(-117)/(-78). Let q = -19 + 35. Calculate the lowest common multiple of q and a(l).
112
What is the common denominator of (204/9 - 5)/(22/(-6)) and 962/455*(-14)/6?
165
Suppose 0 = -23*c - 56342 - 40005. Let h be 106/(-48)*(-7590)/(-4). Let l = h - c. What is the common denominator of 27/16 and l?
16
Find the common denominator of 909/6*6/(-198) and 375/3690*(33/(-5) + 2).
2706
Let o be (-1)/((-462)/(-1341)) - -1 - -1. Let m = o - -6/7. Calculate the common denominator of 69/10 and m.
110
Suppose -6 = -q - 1. Suppose 2*m + 42 = c, q*c - c + 2*m = 128. Find the common denominator of c/(-20) - 2/1 and -29/20.
20
Suppose 4*i - 5*o + 7087 - 529 = 0, 5*i + 8216 = -3*o. Calculate the common denominator of i/140 - -4*18/168 and ((-2)/(-4))/(4/(-166)).
20
What is the common denominator of ((429/(-456))/(-13))/(6/(-72)) and 11/5?
190
Let j = -73 - -107. Calcu