78 + w. What is the common denominator of (-32)/(-176) + (-551)/66 and x?
48
Let q = -31 + 45. Let p(b) be the second derivative of -b**3/6 + 15*b**2/2 + 28*b. Calculate the lowest common multiple of p(7) and q.
56
Let x = 1 + 3. Suppose 13*m + 1254 - 1592 = 0. Calculate the least common multiple of m and x.
52
Let v = 140 - 1667. Let b = -28990/19 - v. Find the common denominator of b and 27/4.
76
Let q = 529 + -165. Suppose 0 = -3*d - 3*k - 99, -2*k = -7*d + 2*d - 144. What is the common denominator of -117/20 and (9/(-24))/(d/q)?
20
Let z = 4796/157 + -2729653/89804. Find the common denominator of z and -5/39.
1716
Calculate the smallest common multiple of 18 and -14 + 7 + 36 + -5.
72
Let t be 2/(-3)*-4*3. Suppose -3*r - 30 = -t*r. Let g(a) = a**3 - a**2 + 2*a + 9. Calculate the least common multiple of r and g(0).
18
Let q = 76 - -29. Let s = 123 - q. What is the least common multiple of s and -2*3/((-6)/10)?
90
Calculate the lowest common multiple of 24 and ((-3)/(15/(-2)))/((-8)/(-560)).
168
Let v = -263 - -305. What is the smallest common multiple of v and 28?
84
Suppose 3*p - 179 = 4*x, -126 = -4*p + 2*p + x. What is the smallest common multiple of p and 11?
715
Let r = 1200 - -503. Calculate the smallest common multiple of r and 5.
8515
Let w(h) = -h**3 - 20*h**2 + 16*h - 69. Let i = 14 - 35. What is the lowest common multiple of 9 and w(i)?
36
Suppose -2*b = -4*x + x + 17, -2*x + 2 = b. What is the smallest common multiple of 189 and x?
189
Let b = 2 - -1. Suppose -4*v + b*v = -8. What is the lowest common multiple of 108/8 + 2*(-3)/(-12) and v?
56
Let i = -136 - -150. Calculate the least common multiple of i and 528.
3696
Calculate the common denominator of (-1944)/(-924)*35/20 and (-43)/7 - (-2)/4.
154
Suppose 0 = 3*w + 2*w - 60. Let o = -19 + 27. Calculate the common denominator of -50 and 39 - (w/(-3) + o).
1
Let b(d) = 3*d - 34. Let m be b(6). Calculate the lowest common multiple of ((-12)/m)/((-7)/(-28)) and 18.
18
Let r = 1734 - 17387/10. Let w = -205795/264 + 8622/11. Calculate the common denominator of w and r.
120
Suppose 2*s + 2*s - 16 = 0. Suppose -34 = -s*c + 38. What is the smallest common multiple of c and 12?
36
Let t = -503 - -555. What is the lowest common multiple of t and 8?
104
Let w = 377709/50 + -7556. Calculate the common denominator of w and 39/4.
100
Let d = 25 + 56. Calculate the smallest common multiple of d and 42.
1134
Let f = -244809/614224 + 27/2953. Calculate the common denominator of f and 29/11.
2288
Let o = 3667 + -54941/15. Calculate the common denominator of -71/40 and o.
120
Suppose 5*y - 5*x = -30, 3*y - 2*x = -11 - 5. Calculate the lowest common multiple of 3*(4/3 + 2) and -4 - (-28 + (-16)/y).
20
Suppose 0 = 2*a + 3*a - k + 13, -2*a - k = 1. Let w = a - -12. What is the least common multiple of 1 and w?
10
What is the common denominator of (-4)/((-80)/111)*24/18 and 51/(-117) + 2/(-6)?
65
What is the common denominator of -28/43 and 10 - (-355)/(-35) - 136/(-21)?
129
Let k = -73 + 170. Find the common denominator of ((4 - -1) + -23)*(-4)/(-42) and 1 + k/2 - 1.
14
Let j be (-1202)/4 - 1*3/(-6). Let f = 1101 - 2261/2. What is the common denominator of 6/11*j/(-45) and f?
22
Let s be -2933 - 6 - 8/2. Let h = 14658/5 + s. What is the common denominator of 99/2 and h?
10
Let n(h) = h**3 + 2*h**2 - 3*h - 1. Let z be n(-3). What is the common denominator of 0 + (-51)/30 + z and 4/66*(1 + 446/(-8))?
110
Let j(b) = -b**2 + 29*b + 60. Let k be j(31). Let y(g) = -g**3 - g**2 - 4*g - 4. What is the lowest common multiple of y(k) and 14?
56
Let g be (0 + 98/(-16))*(-427 - -1). Let s = g + -2633. Find the common denominator of -7/16 and s.
16
Let t = 1248 + -2571/2. Find the common denominator of -2/101 and t.
202
Let o(l) = -l**2 - 11*l - 6. Suppose 14 + 26 = -4*j + 3*m, 0 = 5*m. Let k(c) = c**3 - 6*c**2 + 7*c - 2. What is the lowest common multiple of o(j) and k(5)?
8
Suppose -h - 2 = -0, 0 = -4*x - 5*h - 2. Let t = 1 + x. Suppose t*i + 3*g = 15, 2*i + 3 - 5 = -4*g. What is the smallest common multiple of i and 4?
36
Let y(f) = 2*f**2 + 30*f - 24. Let j be y(-16). What is the least common multiple of 7 and 226/j - (-12)/16?
203
What is the common denominator of -35/114 and (-46)/(-3)*74/8436?
342
Let x(r) = r**3 - 2*r**2 - 3*r + 2. Let p = -1438 - -1449. What is the lowest common multiple of p and x(3)?
22
Suppose -260*m + 266*m = 192. Calculate the smallest common multiple of 64 and m.
64
Suppose v = 5*k + 35, -2*v + 3*k = -7*v + 35. Calculate the least common multiple of v and 55.
110
Let b(c) = 163*c - 8. Let u be b(6). Let i = -11783/12 + u. What is the common denominator of 14/11 and i?
132
Let q = -721/5 - -150. Find the common denominator of -29/6 and q.
30
Suppose -893 = -4*l + 171. Suppose -6*n = r - 4*n + l, n = 0. Find the common denominator of 8/2 + r/12 and 8/7.
42
What is the least common multiple of ((-143)/91 + 3)*14 and 60?
60
Let t = -377 - -41467/110. Calculate the common denominator of t and -23/99.
990
Let t = 1/99 + 2473/198. Let n be (1759/5)/(4/6). Let y = 534 - n. Find the common denominator of y and t.
10
Calculate the common denominator of (-832)/(-2640) - (-1 - 1/(-3)) and 51/70.
770
Let s = -512/69 + -90/23. Find the common denominator of 1/(-2) - 848/(-48) and s.
6
Suppose -4*p + 5 = -n + 4, 0 = 3*p + n + 8. What is the lowest common multiple of 6 and 2/4*-2 + 10 - p?
30
Suppose 5*b + 2*m = -25115, -4*b + 4*m = -0*b + 20064. Let s = -115505/23 - b. What is the common denominator of -13/3 and s?
69
Let w(p) = -p**2 - 4*p + 7. Let a be w(-4). Calculate the smallest common multiple of 16 and 9/(-3) - -9*a.
240
Let t(o) = o**3 - 5*o**2 - 8*o - 10. Let u be t(7). Suppose -8*n + 4*n = -u. What is the smallest common multiple of 4 and n?
8
Let j(p) = -9*p - 3. Let u be j(-4). Suppose 35*r - u*r - 40 = 0. Calculate the common denominator of -1*r/(-14) + -3 and -7.
7
Suppose 31 + 17 = -3*n. Let z = 43 + n. Calculate the least common multiple of z and 12.
108
Let j = 1271/3 - 1705/4. What is the common denominator of j and (-33)/5*3/4?
60
Suppose -3459 = -31*z - 359. Calculate the lowest common multiple of 370 and z.
3700
Let g be (-2)/13 + ((-4014)/39)/(-6). Suppose -r - 7 = -g. What is the least common multiple of r and 12?
60
Let k be ((-4)/(-5))/(4/100). Suppose 0 = -j - 15 + k. Suppose j*c + 1 = 31. Calculate the least common multiple of 4 and c.
12
What is the lowest common multiple of 154 and 715/91 + (-6)/(-42)?
616
Let y(h) = -h**2 + h + 3. Let i = -16 - -24. Suppose -i*o = -10*o + 18. Calculate the smallest common multiple of y(0) and o.
9
Let s(h) = h**3 - 21*h**2 - 42*h - 70. Find the common denominator of 93/10 and s(23).
10
What is the common denominator of (-392)/(-105) - -5 - 4 and 23/9?
45
Suppose -4*v - 2125 = 1847. Let w = 2936/3 + v. What is the common denominator of 61/10 and w?
30
Suppose 3*a + 36 = 3*q, q + 4*q - 3*a - 50 = 0. Suppose -q*r + 11*r = 0. Suppose r = 5*o - 0*o - 30. What is the smallest common multiple of o and 6?
6
Let u = -12184/7 + 1733. Suppose 2*j = -0*j - 2. Calculate the common denominator of j/18*(3 + 65) and u.
63
Let i(m) = m**2 + 17*m + 5. Let k be i(-17). Let p(b) = 2*b. Let o be p(k). Suppose o*x = 12*x - 4. Calculate the lowest common multiple of x and 26.
26
Let l = -3/97339 + -10414643/20441190. What is the common denominator of 173/90 and l?
630
Let i(r) = r**3 - 13*r**2 + 21*r + 12. Suppose 0 = -0*l - 2*l + 10. What is the smallest common multiple of l and i(11)?
5
What is the common denominator of 952/126*3/(-16) and -53/700?
2100
Let k = 426 - 138. Calculate the common denominator of -41/2 and (-6)/27 + 4/(k/(-146)).
4
Suppose 0*s = -s + 9. What is the lowest common multiple of 10 and (-4 + 0)/(s/(-7) - -1)?
70
Let l be 1/234*-37993 + 1. Let s = 37/78 + l. Let q = 165 + s. What is the common denominator of -36 and q?
9
Let i be 6/24 - 78/(-8). Let p = i + 23. What is the smallest common multiple of p and 6?
66
Let q = 58 - 53. Let g(m) = 3*m - 1. Calculate the smallest common multiple of 66 and g(q).
462
Suppose 0 = -5*k + 4*j + 28 + 4, -k + 3*j + 13 = 0. Let y(r) = -2 - 8 - 5 + k*r + 2. Calculate the least common multiple of y(6) and 7.
77
Let w = 42 + -22. Suppose 2*q + 85 = 5*a - 3*q, 4*a + 2*q = 50. What is the least com