. Let m(k) = 15*k**3 + 55*k**2. Let q(w) = -4*m(w) + 55*n(w). Calculate the lowest common multiple of q(-1) and 6.
30
Suppose 164 = -4*b + 5*j, 4*j + 12 + 70 = -2*b. What is the common denominator of b and ((-2)/(-8))/((-14)/136)?
7
Suppose a - 3*a = 3*n + 2, -a - 4 = 3*n. What is the least common multiple of 5 and a?
10
Suppose 25*v - 272 = 8*v. Calculate the smallest common multiple of 16 and v.
16
Suppose 0 = -4*m + 5 + 7. Calculate the common denominator of (-1841)/105 + 4/(-30) and m/(-4) + 13/28.
21
Let s = 4 - 0. Let j = -3 + s. What is the least common multiple of (-2 - -13*1)*j and 1?
11
Let x = 2/261 - -856/1827. What is the common denominator of -101/18 and x?
126
Calculate the common denominator of 33/10 and 106/(-24) - 8/(-32).
30
Let t be ((-15)/12 + 2)*28. Suppose -2*w = 3*u + 10 - 33, -w - t = -5*u. What is the lowest common multiple of u and 1?
5
Suppose 6*m = m - 85. Find the common denominator of -1/20 and (m/(-10))/((-14)/(-21)).
20
Suppose c = 3*c - 22. Let z = 9 + c. What is the least common multiple of z and 20?
20
Suppose 88 = 2*a + 2*a. Calculate the smallest common multiple of a and 22.
22
Let c be (1/2)/((-1)/(-2)). Let w = c - -3. What is the least common multiple of 6 and w?
12
Let o = 7 - 1. Let z = 4 - 4. Calculate the lowest common multiple of z + 10 + (-3 - -1) and o.
24
Let z(w) be the second derivative of -w**4/12 - 4*w**3/3 + 4*w**2 + 4*w. Let s be z(-6). What is the common denominator of 808/s*(-1)/(-8) and -101/8?
40
Suppose 16 = 2*r + 296. Find the common denominator of (-1 + -3)*r/(-16) and (152/30 - (-20)/(-10))*-3.
5
Let c = 1/747 - -12947/747. Let b = 29/1082 + -1722631/3246. Let a = b - -524. Calculate the common denominator of a and c.
3
Let y = -19977/16 - -1249. Find the common denominator of y and 101/10.
80
What is the common denominator of 5/16 and 4/10 + (-126)/56?
80
Suppose 0 = m - 4*m - k + 26, 0 = 2*m + 4*k - 34. Let r be 1 - 1/(3 + -2). Calculate the lowest common multiple of (-2 - -1) + r + 3 and m.
14
Suppose -10*w + 7*w = -30. Let t(b) = 4*b - 12. What is the least common multiple of t(8) and w?
20
Let w = -189 + 1718/9. Calculate the common denominator of -32/13 and w.
117
Let v = 1322867/5570 + 4/2785. Let k = v + -211. Find the common denominator of k and -38/11.
22
Let b be 942/126 - (1 + -5)*1. Let t be (-10)/924*(-6331)/(-5). Let q = t + b. Find the common denominator of -61/20 and q.
220
Let f = -2 + -1. Let i be f - (-3 + (-98)/53). Let j = 2427/424 - i. What is the common denominator of j and 32/11?
88
Let v = -31 + 34. Calculate the smallest common multiple of 12 and v.
12
Suppose -m = -2*m + 4*q + 28, 3*m + q = 32. Calculate the lowest common multiple of 30 and m.
60
Let c = 17409 + -313279/18. What is the common denominator of -169/60 and c?
180
Suppose 5*f = -0*p + p + 38, f = -2*p - 43. Let c = -20950/6567 - -5/597. What is the common denominator of c and p?
11
Let k be 10*(-1)/(-2) + -1. Suppose 5*z - z - 3*f - 20 = 0, 52 = k*z + 5*f. Suppose 261*x - 266*x = -80. What is the lowest common multiple of x and z?
16
Let h = 6 - 9. What is the common denominator of (-1 - -26)*(-6)/(-8) and 21/8 - (-1 - h)?
8
Let l(x) be the first derivative of 16*x**2 - 2*x - 1. Let d be l(7). Calculate the common denominator of 2/(-10)*d/(-8) and 23/4.
20
Let d be (965/(-7165))/((-18)/(-386)). Let b = 1/1433 - d. Calculate the common denominator of b and -55/8.
72
Let f = 5 + 6. What is the lowest common multiple of f and 10?
110
Let b(g) = g**3 + 7*g**2 - 7*g + 10. Suppose -2*c - 1 = -5*q, -3*q = 6 + 3. Let o be b(c). Let z = o + -1. What is the least common multiple of z and 5?
5
Let b = 16 + -14. Calculate the lowest common multiple of b and 8.
8
Suppose 2*z + 2*m = -4 - 2, z - 3*m = -15. Let p(i) = -i**3 - 6*i**2 - i + 7. What is the least common multiple of p(z) and 2?
26
Let v = 4464 - 200872/45. Find the common denominator of v and 31/8.
360
Let b = -12 + 23. Suppose -2*d = -4 - 0. What is the least common multiple of d/(-6) + 13/3 and b?
44
Let t = -37 - -55. What is the lowest common multiple of 40 and t?
360
Let g be 0 + (1 - 1) + 0. Suppose g = 5*l - 2*l. Let r = 5 + l. What is the lowest common multiple of 9 and r?
45
Suppose 4*a - 2*p - 7 = 17, 5*p = 4*a - 30. Suppose 2*k + 3*c = 33, 0 = k - 2*c + 1 - 0. Calculate the lowest common multiple of k and a.
45
Let u(d) = 3*d - 4*d + 3*d**2 - 1 - 11*d**2 + 3. Calculate the common denominator of u(-2) and 19/9.
9
Suppose -3*v + 27 = -0*v. Calculate the lowest common multiple of 1 and v.
9
Let n be -1*(-7*1 + -2). Suppose 3*m - 2*q - 14 = 0, 0 = 5*m + q - 10 - n. Suppose m*l = 94 - 6. What is the smallest common multiple of 4 and l?
44
Suppose -2*d = -4*o, 20 = d + 4*d - 5*o. What is the smallest common multiple of 16 and d?
16
Let q = 98 - 68. Calculate the lowest common multiple of q and 12.
60
Let i = 1660 - 59749/36. Let a = 347/36 - i. What is the common denominator of -23/2 and a?
6
Let j = 1417 + -747. Let n = j + -2643/4. Find the common denominator of n and 43/16.
16
Calculate the common denominator of -61/8 and (2*53/12)/(-2).
24
Suppose 0 = 5*b - 10 - 5, -2*s - 2*b + 10 = 0. Let f = s - -6. What is the least common multiple of 3/3 - (-1 - -1) and f?
8
Calculate the common denominator of -71/22 and (65/(-2))/(5 - -3).
176
Suppose -a + 5*n + 5 = -0*n, 5*n - 10 = -2*a. Let m = a + -4. Calculate the least common multiple of m and 6.
6
Let b(r) be the third derivative of 17*r**6/120 + r**5/30 - r**4/24 + r**2. Let u(f) = f + 15. What is the smallest common multiple of b(1) and u(-9)?
18
Suppose 3*a = -a - 4*v + 264, -3*a = 4*v - 203. Suppose 3*r + 25 = s, a = 3*s - r + 10. Calculate the lowest common multiple of s and 10.
80
Suppose -6*h + h = 2*b + 19, -15 = 3*h. Suppose 2*j = -2*j. Let u = b + j. Calculate the lowest common multiple of u and 7.
21
Suppose -23 - 33 = -4*k. Calculate the least common multiple of k and 14.
14
What is the lowest common multiple of 4 and 6/(-10) - (-441)/35?
12
Let f = -132 + 91. What is the common denominator of 3/4 and f/3 - (1 + 1)?
12
Let q = 721/108 + 17/108. Find the common denominator of q and 117/14.
42
Suppose 9 = 69*u - 68*u. Calculate the lowest common multiple of u and 27.
27
Calculate the common denominator of 7/35 + (-934)/(-180) and 2 - (0 - (-83)/(-18)).
18
Suppose -2*i + 2*y - 12 = y, -18 = 3*i - 3*y. Find the common denominator of 2 - 0 - 81/i and -87/10.
10
Suppose -u - 9 + 27 = 0. Calculate the lowest common multiple of u and 15.
90
Suppose 3*c = 4*c - 8. What is the smallest common multiple of c and 22?
88
Suppose -15154 = 2*o + 2*r, 2*r + 15153 = -2*o - r. Let d be (-23)/o*-2003 - -1. Let x = d - -10/421. What is the common denominator of 87/16 and x?
144
Suppose -5*x = -0*x + 2*b - 46, 0 = -2*x + b + 13. What is the lowest common multiple of x and 18?
72
Let y(g) = -18*g + 16. Let u be y(-15). Calculate the common denominator of 2/1 - 377/u and 66/16*(-2)/6.
88
Let q(k) = -k**3 + 26*k**2 + 7. What is the smallest common multiple of q(26) and 2 - (1*-2)/2?
21
Let v(h) = -147*h - 1. Let a be v(3). Let q = 760 + a. Find the common denominator of 91/2 and q/(-112) + 2/(-7).
8
Let l = 455917/36 - 12661. What is the common denominator of l and -59/18?
36
Calculate the common denominator of 4/(-40)*237/6 and -61/18.
180
Let b(v) = -2*v - 9. Let s be b(-6). Suppose 4*a + 3*y - 11 - 2 = 0, -s*a - 4*y + 15 = 0. What is the smallest common multiple of a and 7?
7
Let h(l) = -5*l - 9. What is the least common multiple of 20 and h(-5)?
80
Let c = -2/417 + -2347/3336. What is the common denominator of 9/16 and c?
48
Let f = 676/10009 + 1348996251/100090. Let a = -13466 + f. Calculate the common denominator of 57/8 and a.
40
Let w(g) = -g**3 - 4*g**2 + 2. Let p = 13 - 7. What is the smallest common multiple of p and w(-4)?
6
Let o(x) = x**2 - 18*x + 21. What is the smallest common multiple of 3 and o(17)?
12
Let v be 2 + 2/2*-2. Suppose v = -m - 336 - 109. Let s = -873/2 - m. Find the common denominator of -89/8 and s.
8
Let o = -7 - -13. Calculate the smallest common multiple of o and 5*1*(-42)/(-15).
42
Let x(q) = q**2 + q + 2. Let p be x(-2). Suppose 0 = 2*n - n - p. Suppose n*z - 43 = -15. Calculate the least common multiple of z and 6.
42
Let m be 3/(-2)*(-304)/24. Suppose -5*j = 3*g