70
Let i(a) = a**3 + 4*a**2 - 2*a. Calculate the smallest common multiple of 27 and i(-3).
135
Let h = -66/107 - -5903/1070. Find the common denominator of 7/6 and h.
30
Let g be 1*127 - 3/9. Let f = 665/6 - g. Calculate the common denominator of -45/22 and f.
66
Let g be -4*(7/2 + -1). Find the common denominator of -19/42 and ((-58)/g)/((-140)/50).
42
Let j = -14 - -26. Calculate the smallest common multiple of j and 48.
48
Let j = 48 + -34. What is the smallest common multiple of 86 and j?
602
Let o be (-4)/14 + 610/(-70). Let d(v) = -v**2 - 10*v - 7. Let t be d(o). Let u = 9 - t. What is the smallest common multiple of 7 and u?
7
Let w = 47505/11 - 4323. Find the common denominator of w and (3 + -125)*(-1)/(-24)*-2.
66
Let k = -12/151 + -5805/1057. Calculate the common denominator of 59/15 and k.
105
Let f(i) be the first derivative of i**3/3 + i**2/2 - 3*i + 10. Calculate the lowest common multiple of f(-3) and 3.
3
Let l be (-4)/8 + 2/(-4). Let a be -1 + l + 6/1. Calculate the common denominator of -97/18 and a/20*10/32.
144
Suppose 3*s + s = -3*a + 9, 0 = s. Let d be (5/3)/(a/9). What is the common denominator of ((-109)/d)/((-44)/(-10)) and 89/2?
22
Let k be 12/(-6)*(-19)/(-2). Let m = -8 - k. What is the lowest common multiple of 10 and m?
110
Suppose 2*l + 2*w = -l, -2*l + 7 = -w. Let q = l + 8. What is the lowest common multiple of q and 12?
60
Calculate the common denominator of (-22)/8*(-374)/(-85) and 97/8.
40
Calculate the lowest common multiple of ((-10)/5)/((-2)/17) and 9.
153
Suppose 3*p = 2*s - 2, 0 = -5*s - p + 11 + 11. Suppose 3*d + s*u - 16 = -0*d, 2*d - 8 = -4*u. Calculate the smallest common multiple of 14 and d.
56
Let k = -26 - -48. Calculate the smallest common multiple of 4 and k.
44
Let u be (1 + 0)/(3/6). Suppose -u*q = q - 60. What is the smallest common multiple of 30 and q?
60
Suppose -15 - 57 = -6*x. Calculate the lowest common multiple of x and 16.
48
Let v(p) = p**2 + 15*p - 14. Suppose 0 = -3*t - 4*o - 55, 2*t - 7*t - 80 = -5*o. Calculate the smallest common multiple of 2 and v(t).
20
Let u = -1201/300 + 184/75. Suppose -2*y = -6, -y - 21 = -5*h + 16. Find the common denominator of ((-59)/(-8))/(2/h) and u.
20
Let b = -21284 - -596047/28. Calculate the common denominator of b and 83/12.
84
Suppose -340 = -5*i - 1510. Let f = 414 + i. Suppose -d + 6*d = -f. Find the common denominator of 91/8 and d.
8
Let q = -7759/20 + 1533/4. What is the common denominator of q and 73/26?
130
Suppose -50 = -3*j + 5*o, -3*j + o + 66 = 4*o. Let w = 69 + -47. Calculate the lowest common multiple of j and w.
220
Let q = -985 + 15755/16. Let w = 4/10337 - -1023283/206740. What is the common denominator of q and w?
80
Let o(n) = 20*n**2 + 1. Let j be o(-1). Suppose -3*w + j = -5*p + 1, 0 = -2*p - 8. Find the common denominator of -21/11 and w - 0 - (-285)/12.
44
Let u be 72/(-7) - 8/(-28). Calculate the common denominator of 15/22 and ((-2)/u)/((-16)/620).
44
Suppose 2*g + 4*s = 0, 0*g + 4*s + 10 = -g. What is the smallest common multiple of g and 135/20 + 12/(-16)?
30
Suppose -7*o = -2*o - 15. Calculate the lowest common multiple of o and 33.
33
Let f = -5 - -7. Calculate the least common multiple of 13 - (-1)/f*2 and 4.
28
Let a(r) = -r**3 - r**2 - 2*r - 2. Let f = 5 - 8. Suppose 0 = -15*o + 8*o + 98. Calculate the lowest common multiple of a(f) and o.
154
Let t = -7/482 + -4909/2169. What is the common denominator of (-42)/9*14/8 and t?
18
Calculate the common denominator of -1 + (-56)/3 - 2 and 242/15*(-63)/84.
30
Let n(b) = -3*b**2 + 5*b - 2. Let i(p) = -4*p**2 + 5*p - 1. Let l(f) = 4*i(f) - 5*n(f). What is the lowest common multiple of 2 and l(-5)?
6
Suppose -2*i = 28 - 238. Let b = -140077/12 - -11680. What is the common denominator of i/48 - (-1 + 0) and b?
48
Let p(d) = 2*d**2 - 3*d + 1. What is the smallest common multiple of p(2) and 7 + 0*(-3)/6?
21
Let m = 5 - 7. What is the least common multiple of 36/8*(4 + m) and 7?
63
Let g = 83/45 - 7/5. Let v = 4 - 9. Find the common denominator of v and g.
9
Let o(w) = -4 + 3 + 105*w**2 + 1 + 4*w - 9. Let j be o(-9). Let a = -67587/8 + j. Calculate the common denominator of 5/6 and a.
24
Suppose 4*c - 7*c = -42. Let u(p) = 2*p**2 + p + 3. Calculate the lowest common multiple of u(-3) and c.
126
Let o = 268407/36392 - 2/4549. Let s(p) = -p**2 + 5*p + 3. Let t be s(5). Find the common denominator of 1/(54/21) - t and o.
72
Calculate the common denominator of 27/4 and (426/(-126) + -3)*(-9)/24.
28
Suppose 4*g - 62 = -2*x, -4*g = -x - 26 - 39. Calculate the lowest common multiple of g and 4.
16
Let s = 26332861/35060 + 1350/1753. Let f = 752 - s. What is the common denominator of 141/4*2/(-3) and f?
20
Suppose 0 = -3*d - 1 + 7, -2*j = -5*d + 6. Calculate the lowest common multiple of j and 2.
2
Let u = 18 - 34. Let b be (10/4 + 0)*u. Find the common denominator of (123/b)/((-6)/5) and -31/16.
16
Let r = -19 - -13. Calculate the least common multiple of 3 and (-62)/r - 16/(-24).
33
Suppose -5*b = -25 - 25. Calculate the least common multiple of 7 and b.
70
Let w(y) = -y**2 + 7*y + 9. Let i be w(8). Find the common denominator of (-279)/(-90) - (i - 0) and 75/4.
20
Let o = -16 + 26. What is the smallest common multiple of o and 14?
70
Let u be (1 - 3)*(-2)/4. Suppose 2*w = u + 1. Let r = 15 + -6. Calculate the smallest common multiple of r and w.
9
Let d(u) = -8*u**3 + 2*u**2 - 2*u - 1. Let s be d(2). What is the common denominator of -87/2 and (-6)/12 - s/(-4)?
4
Find the common denominator of -25/4 and (6 + (-44)/14)*(-16)/10.
28
Suppose -5 = 5*q, 3*n + q - 236 + 66 = 0. What is the common denominator of 69/14 and 1/(60/n) - -3?
140
Let m = -3044/539 - -255/98. Suppose -2*p + p - 24704 = 0. Let i = -543383/22 - p. Calculate the common denominator of m and i.
22
Let i be -1 + (3 - (-3)/(-3)). Let m be i/(-3) + 2253/6705. Let t = m - 58863/2980. Calculate the common denominator of 61/6 and t.
12
Let z = -2519/102 - -230/17. Let u = -20 - -14. Find the common denominator of u/9*103/4 and z.
6
Find the common denominator of (2 - 1 - -88)/(-2) and ((-3)/(-24))/((-4)/(-162)).
16
Calculate the common denominator of 97/2 and ((-99)/1 + -4)/(-6).
6
Find the common denominator of 321/9*(-3)/18 and 55/12.
36
Let i(c) = -c + 17. Calculate the lowest common multiple of i(9) and 1*(2 - 3)*-22.
88
Let v(q) = -q**3 + 4*q**2 + 7*q - 7. Calculate the lowest common multiple of v(5) and 1.
3
Let n(s) = 7*s - 3. Let t be n(4). Let o = t + -7. Suppose m = 2*m - o. Calculate the least common multiple of 14 and m.
126
Suppose 0*o = -s + 3*o + 2, -2*s = 4*o - 4. Let y(m) = 5*m**3 + m**2 + m. Let c be y(-1). Let u = c + 10. Calculate the lowest common multiple of s and u.
10
Suppose 3*h - 3*r = -4*r + 12, h - 11 = 2*r. Suppose -n + 2*g + 12 = n, -h*g = 3*n - 58. What is the smallest common multiple of n and 1?
11
Let w = -155344347/14 - -11085020. Let k = w + 10999. Find the common denominator of k and -91/6.
42
Suppose 3*j = 4*j - 9. Suppose 2*c + a = -c, -3*c - 4*a = -j. Calculate the common denominator of -35/4 and -66*((-69)/60 - c).
20
Suppose 7*l - 2*l - 3 = -3*x, -3*l + 3 = 3*x. Let u be 2/(-4) - x/(-2). Find the common denominator of 107/20 and (-178)/16 - (1 + u).
40
Let b = -60053/9 + 6681. Let v be (-2)/4*(-2 + 4). What is the common denominator of b and (-11 - v)*4/28?
63
Let m = -64 - -45. Let z be 6*(1 + m/2). Calculate the common denominator of 54/11 and 12/(-30) + z/(-10).
110
Let j be (-4)/(-10) - (-99)/15. Let t = -33/47 - -3751/188. Find the common denominator of t and (j + -257)*(-2)/(-48).
12
Let w(n) = -n**2 - 8*n + 3. Let y be w(-8). Calculate the least common multiple of y - (-1)/(1/(-1)) and 10.
10
Let o = -28393/778 - 2/389. Find the common denominator of o and -125/6.
6
Let v be 1*3 - (1 - 3). Suppose -5*n + 2*n = -99. Suppose -67 - n = -v*c. Calculate the smallest common multiple of 2 and c.
20
Suppose 5*i - 455 = -0*i. Suppose 0 = -2*f - i + 35. Calculate the common denominator of -35/2 and f.
2
Calculate the common denominator of (-6)/21 + 478/56 and -18.
4
Let i = -8 - -1. Let y = -33/4 - i. Let s = 2/6443 - -650739/12886. Find the common denominator of s and y.
4
Suppose -l = -3*l + 14. Suppose 9*c - 16 = l*c. Calculate the least common multiple of 6 and c.
24
Calculat