Let u(d) be the first derivative of -d**2/2 - 2. Let i be (3 + (-2)/1)*-4. What is the least common multiple of u(i) and 10?
20
Suppose 4*a - 5 = 83. Calculate the least common multiple of a and 4/1 - (2 + 0).
22
Let h be 7/3 - (-2)/3. What is the smallest common multiple of 7 and 1/(h/132*4)?
77
Calculate the common denominator of -21/8 and 115/(-1 + -4) + 3/6.
8
Suppose z - 12 - 10 = 0. Let n be (-1 - -86) + 2/(-2). Suppose -i + 23 = c, 0 = -5*c + 4*i + n + 4. Calculate the least common multiple of c and z.
220
Let x(y) = 7*y**3 + y**2 - y - 1. Let n be x(-1). Let u = -2 - n. What is the smallest common multiple of 18 and u?
36
Let m(z) = 3*z + 2. Let k be m(-2). Calculate the common denominator of 53/4 and 1 + (-138)/k + 1.
4
Let y be -3*4/(-18)*3. Suppose 0 = -y*m + 5 + 3. What is the least common multiple of m and 7?
28
Let g be 3*((-8558)/8562 + 1). Let d be (-5)/(-4281)*505110/40. Let q = d + g. What is the common denominator of q and 57/2?
4
Suppose 0 = -g + 3*g - 10. Suppose g*b = b + 28. What is the least common multiple of 5 and b?
35
Let s be (9/6)/(15/20). Suppose -9 = -h + t + 10, -s*t = -4*h + 74. What is the least common multiple of h and 10?
90
Find the common denominator of 99/26 and (-1 + -1)*-1 + 106/44.
286
Suppose 17 = -6*n + 113. What is the common denominator of n and 2*-1 + 87/24?
8
Let y(v) = -v + 12. Let c be y(10). Let g = -1 + c. Calculate the least common multiple of g and 1.
1
Let q(r) = 5*r - 30. Suppose -2*n = -6*n + 88. Calculate the lowest common multiple of q(8) and n.
110
Let a = -1 + 4. Let u be (-1)/((-3)/18) - 1. Suppose -5*z - i + 7 + 17 = 0, u*i = -3*z + 10. What is the lowest common multiple of a and z?
15
Let v = -34 + 23. What is the least common multiple of 4 - v - 9/3 and 11 - (-1 - -2) - 0?
60
Let f = 131 + -17. Suppose -6*k = -3*k - f. Suppose 4*j - 20 = 0, -v + 2*j = 3*v - k. What is the least common multiple of v and 8?
24
Suppose -3*q - 4*a = -20, -7 + 22 = 5*q + 3*a. Suppose -3*v + 12 + 12 = q. Calculate the least common multiple of 1 and v.
8
What is the least common multiple of 9 and (-58)/(-6) + (-35)/(-15) + -2?
90
Suppose -g + 3*g = -18233462. Let o = g - -2844427171/312. Let s = o - -147/104. Find the common denominator of 121/12 and s.
12
Suppose -5*h + 26 = -0*k + 2*k, 0 = -k + 3*h + 2. Calculate the lowest common multiple of 2 and k.
8
Let x(p) = p - 1. Calculate the lowest common multiple of 5 and x(9).
40
Let p = -8053/2 - -64375/16. Calculate the common denominator of p and (-98)/40 - (-4)/10.
80
Let s = -755/872 + -1/109. What is the common denominator of s and -22?
8
Find the common denominator of 8/12 - -131*(-4)/(-96) and 87/16.
16
Suppose 0 = -3*a - a + 4, -a = -m + 11. Let o = m + -4. Let l = -16 - -34. Calculate the smallest common multiple of o and l.
72
Suppose 6*y - 36 = 3*y. Let v(b) = b**3 + b**2 + b. Let z be v(-1). Let r = 3 + z. Calculate the lowest common multiple of r and y.
12
Let b be (34/84)/(-4 + 3). Let c = b + 113/63. Calculate the common denominator of c and 13/18.
18
Let q = -213 + 219. Suppose -4*w + 2*w - 4*i = -8, -i - 19 = -3*w. What is the smallest common multiple of q and w?
6
Let u(z) = -z**3 - 10*z**2 - 11*z - 8. Let y = -28 + 19. What is the least common multiple of u(y) and 22?
110
Let o(z) = z + 3. Let a be o(-3). Suppose a*n + 80 = 5*n. What is the lowest common multiple of n and 16?
16
Let f = -12 + 15. What is the smallest common multiple of 11 and f?
33
Let r(a) = -a**2 + 5*a + 2. Let p(s) = s**2 + 2*s + 2. Let n be p(-3). What is the least common multiple of 16 and r(n)?
16
Suppose 0 = 3*t - 2*t - 8. Suppose -5*f + 20 = -20. What is the least common multiple of t and f?
8
Let s = 22 + -18. Calculate the least common multiple of s and 18.
36
Let z = 2/7405 + -229571/59240. What is the common denominator of -5/9 and z?
72
Let a = 70 - 58. Calculate the least common multiple of a and 8.
24
Suppose 11*r = 5*r + 78. Calculate the least common multiple of r and 10.
130
Let h = -176/3 + 1567/24. Let m = -133487666/8173 - 2177/1486. Let r = 16337 + m. Find the common denominator of r and h.
88
Let m = 8 - 2. Suppose -m*r + r + 25 = 0. Let x(b) = -b + 19. What is the least common multiple of r and x(16)?
15
Let u = 134797/15 + -8991. Find the common denominator of 20 and u.
15
Let j = -3251/20 - -337/2. Find the common denominator of 150/4 + (-6)/(-3) and j.
20
Let d = -2 - -16. What is the least common multiple of 13 and d?
182
Suppose 2*i = -i + 12. Calculate the smallest common multiple of i and 3.
12
Let q(v) = 1 + v**3 + 1 - v - 4 + 10*v**2. Calculate the least common multiple of 4 and q(-10).
8
Let s(b) = -b**2 + 12*b - 2. What is the smallest common multiple of s(10) and 22?
198
Let r = 816/5 - 9757/60. What is the common denominator of r and 9/14?
84
Let k = 4 - -1. Suppose k*c - 8 = c. What is the smallest common multiple of c and 20?
20
Suppose 5 + 10 = 3*t. Suppose -t*l = -58 - 52. What is the least common multiple of l and 14?
154
Let m = -10092 - -343083/34. Calculate the common denominator of m and 3 + 1/(-4)*-63.
68
Let y = 14 - 16. Let d = 4 + y. What is the smallest common multiple of d and 20?
20
Let n be (1 - 1)/(1 - 2). Let y be 835/28 + n + -1. Let l = -225/14 + y. Find the common denominator of -89/18 and l.
36
Let f(j) = 3*j**2 - 3*j + 2. Let k(a) = 5*a + a**2 + 3*a**2 - 3*a**3 + 4 - a**3 + 3*a**3. Calculate the lowest common multiple of f(2) and k(5).
8
Find the common denominator of ((-77)/24)/(6*3/(-24)) and 71/56.
504
Suppose -5*p - 4 = 4*a - p, a - 2*p + 4 = 0. Let i be a + -1 + (-1662)/8. Let s = i - -7385/36. Calculate the common denominator of -99/16 and s.
144
Let r = -1193/13 + 105. Let o = r - 2539/130. What is the common denominator of -54/11 and o?
110
Let p be (-450017)/(-60) - (-1)/(-5). Let j = p - 7491. Find the common denominator of 6/(-30) - 553/(-90) and j.
36
Let p be 8*(-1 - (-211)/(-2)). Let n = -1763/2 - p. Let h = 159/16 + -10. Calculate the common denominator of h and n.
16
Let a be (-6)/21 + 16/7. Let k(o) = 0*o**2 + 2 + o**a - 1 - 2*o + 2*o**3. Calculate the lowest common multiple of k(1) and 6.
6
Let h(a) = a + 10. Let k be h(-8). Suppose -r = o - 5, 9 = 2*r - k*o + 3. Let j = 0 + r. What is the lowest common multiple of j and 9?
36
Find the common denominator of (-49)/48 + (-5 - (0 - 5)) and 81/10.
240
Let o = -37808/3195 - -1/6390. Suppose 3*n - 23 = -8, 0 = 5*i - 4*n + 850. What is the common denominator of o and (i/(-6))/((-4)/(-6))?
6
Let t be 320/55 + 2/11. Let r(n) = -n + 11 - 9 + 8. What is the least common multiple of r(t) and 6?
12
Let c = 13 + -8. Let i be 3/(18/8)*3. Suppose 5*d - 6 = -i*p, 4*d - c = d - p. Calculate the smallest common multiple of d and 11.
22
Let m be (-1042)/(-16) - (-5)/(-20). Let z = -717/8 + m. Calculate the common denominator of 15/8 and z.
8
Let s be 3/12 + 126/8. Suppose -4*y + 0*y = -s. What is the least common multiple of y and 6?
12
Let a = 52/331 + 35039/6620. What is the common denominator of a and 47/64?
320
Calculate the common denominator of ((-5214)/60)/11 - (-4)/2 and -5/2.
10
Let j = -627/350 + 68/25. Calculate the common denominator of (148/10 - 1)*(-100)/440 and j.
154
Let c = 1819 + -117. Let j = -13591/8 + c. What is the common denominator of 16/5 and j?
40
Let w = -945 - -6604/7. What is the common denominator of w and -21?
7
Suppose 16 = -5*v + v, 40 = 4*m + 2*v. Suppose 3*d - 2 = 13. What is the lowest common multiple of m and (-2)/d*(1 - 11)?
12
Let p be ((-543)/19)/(4 - 3). Let r = p + 2463/152. Calculate the common denominator of r and -33/2.
8
Let h = 1 + -3. Let s = 0 - h. Let k = -3 + 4. Calculate the smallest common multiple of k and s.
2
Suppose -39 + 11 = -4*r. Suppose -5*x = -2*p - 46, p = -0*p - 3. What is the smallest common multiple of x and r?
56
Let v(y) be the first derivative of 3 - 1/3*y**3 - 11/2*y**2 - 10*y. Calculate the lowest common multiple of 2 and v(-9).
8
Let w be 112294/(-4) - 3/(-6). Let d be 2/(-9) + w/9306. Let a = d + 6/517. What is the common denominator of a and -101/8?
88
Let v(q) = q**3 + 9*q**2 - q + 1. Calculate the least common multiple of 2 and v(-9).
10
Suppose 0 = -z - 3 + 75. Suppose 0*v = -4*v + z. Calculate the least common multiple of v and 18.
18
Let p = -303721/3150 + -1437/700. Let k = -94