e k - 1 = 1. What is the least common multiple of k and 2?
2
Calculate the smallest common multiple of 10 and (-3)/(-6) + (-2)/((-8)/26).
70
Let s = -341 + 352. Suppose -35 = -5*p + a - 6*a, -a = -5. What is the smallest common multiple of s and p?
22
Suppose -2*z = -5*h + 311, -2*h + 0*z = -2*z - 122. Let d = h + -26. Suppose 3*o = d - 1. What is the least common multiple of o and 22?
132
Let n(k) = k**2 - 4*k - 1. Let s be n(5). Suppose 2*p = s*p + 24. What is the common denominator of -77/6 and (-61)/(-8)*p/(-27)?
18
Let c = 41719/24 + -1739. What is the common denominator of -4/33 and c?
264
Suppose -2*q = 0, -q - 3 - 17 = -2*h. What is the lowest common multiple of h and 14?
70
Let k be 24/27*(-2857)/4. Let a = -42653/63 - k. Let v = a + 2893/63. Calculate the common denominator of 115/6 and v.
18
Let m(d) = d**3 + 10*d**2 - 2*d - 8. Suppose 4*h + 1 + 7 = 0, -o + 3*h - 4 = 0. Calculate the smallest common multiple of m(o) and 4.
12
Let k(a) = -a**2 - 9*a. What is the lowest common multiple of 10 and k(-8)?
40
Calculate the smallest common multiple of 1/1*(-185)/(-5) and 3.
111
Let u be (-2 - 4/(-2))/(-1). Suppose 3*n = x + x - 16, -x - 5*n + 8 = u. What is the least common multiple of x and 22?
88
Let d = -2 - -3. Let v = -1 + d. Suppose v = 3*o - 3 - 3. What is the smallest common multiple of o and 8?
8
Let k = -26 + 14. Let o be (-2)/(-11) - k/(-66). Suppose o = -5*d + 2*z + z + 23, -d + 3 = z. Calculate the lowest common multiple of d and 2.
4
Find the common denominator of 2 - -1 - ((-215)/(-120) + -3) and 47/15.
120
Let d = -1112874/11 - -340549201/3366. Let b = d - 88/17. Calculate the common denominator of b and -107/6.
18
Let x = -27359/18 + 1519. What is the common denominator of 621/(-154) - (-14)/(-49) and x?
198
Let k(w) = w**2 - w - 20. Let d be k(0). Calculate the common denominator of 194/d - (1 - -1) and -1 + 1 + 94/(-36).
90
Let q = 26 - 14. Let s = q - 4. Let x = 42 - 28. Calculate the lowest common multiple of x and s.
56
Suppose 4*y + 2*k - 118 + 30 = 0, -3*y + 3*k = -48. Let f(n) = -2*n**2 + 6*n + 8. Let z be f(6). Let r = z - -50. What is the least common multiple of r and y?
220
Suppose 8494 = -v - v. Let y = v - -68015/16. Let p = 467/12 + -99/4. Find the common denominator of p and y.
48
Let h(p) = -5*p**2 - p + 2. Let t(n) = 6*n**2 - 1. Let u(m) = -3*h(m) - 2*t(m). Calculate the smallest common multiple of u(-3) and 10.
70
Suppose 5*r = -i + 4*i + 143, -80 = -3*r - 4*i. What is the common denominator of (-126)/44 - (-1 + 1) and 62/r - (-3 - -1)?
154
Let l(m) = -4*m**2 - 11*m - 12. Let a = 3 + -1. Let w(d) = -d**2 - 3*d - 3. Let g(y) = a*l(y) - 9*w(y). What is the lowest common multiple of 10 and g(-5)?
30
Let f = 12/1055 - 58169/12660. What is the common denominator of f and -29/12?
12
Let u be (5/(-10))/((-1)/(-4)). Calculate the common denominator of -47/14 and (38/(-12))/(u/10).
42
Let a = 34259/5390 - -3/2695. Calculate the common denominator of 67/10 and a.
70
Let u = -826/3 - -278. Find the common denominator of u and 52/9.
9
Let t(z) = -8*z**2 + z + 3. Let c be t(3). Let v = c - -379/6. What is the common denominator of v and 2/(-4) + (-1802)/476?
42
Suppose -9 = -5*u + 2*u. Suppose 3*v - 3 = -u*j, 6*v = 2*j + 2*v + 16. Calculate the common denominator of (42/(-8) - 1)/j and -79/2.
8
Let d = 683/916 + 1/229. Calculate the common denominator of -46/11 and d.
44
Let i = 22 - 8. Calculate the least common multiple of ((-5)/(-5))/(1/3) and i.
42
Let s = -5189/670 - 64/67. Calculate the common denominator of s and 58/7.
70
Let d(l) = -3*l**3 - l**2 - l + 1. Let s be d(1). What is the common denominator of ((-2)/102)/(s/(-18)) and -17/18?
306
Suppose 10*b - 163 = 5*b + j, 2*j = 5*b - 166. Calculate the smallest common multiple of b and 10.
160
Let c = 6/547 - -7081/2735. What is the common denominator of c and -50/11?
55
Let n = -4 + 7. Suppose 4*m = -n*g - 259 - 104, -2*m - 201 = -5*g. Let h = 835/9 + m. Calculate the common denominator of -21 and h.
9
Suppose 590 - 190 = 5*r. Suppose -x - r = -6*x. Calculate the least common multiple of 2/3 - (-102)/9 and x.
48
Let w = -11 + 17. Find the common denominator of 69/8 and (-4)/10 + 21/w.
40
Let x(c) = -c**3 - 10*c**2 - 14*c - 7. What is the smallest common multiple of 1 and x(-9)?
38
Let y(x) = x**3 + 4*x**2 - 4*x + 7. Let a be y(-5). Calculate the common denominator of (-1 - 72)*a/4 and ((-8)/(-20))/((-88)/(-1030)).
22
Let c(n) be the second derivative of 5*n**4/6 + n**3/3 + n**2/2 + n. Let l be c(-1). Calculate the lowest common multiple of ((-14)/(-3))/(6/l) and 10.
70
What is the lowest common multiple of 5 and (-7)/((-14)/60) - -1?
155
Let f = 29 + -9. Let j be 1/((0 - -1)/(-24)). Let v = 44 + j. What is the lowest common multiple of f and v?
20
Suppose 2*b + 3*r - 55 = 4*r, -45 = -2*b - r. Suppose -3*y = 2*y - b. Suppose -h - 8 = -y*h. Calculate the lowest common multiple of 22 and h.
22
Let x(w) = -2*w + 4. Let y be (0/2)/(14/7). Let f = 4 - -6. What is the lowest common multiple of x(y) and f?
20
Suppose 1 - 21 = -2*r. Suppose -2*h + 0*h = 8, 0 = -3*v - 4*h - r. Calculate the least common multiple of 5 and 111/18 - v/12.
30
Suppose -10*i + 5*i - 20 = 0. Let d(z) be the second derivative of z**4/6 + 7*z**3/6 + 2*z**2 - z. What is the lowest common multiple of 8 and d(i)?
8
Let g = 13634/5 - 19083/10. Let a = g + -797. Calculate the common denominator of -19/4 and a.
4
Let l = -62 - -89. What is the common denominator of l and (-39)/(-9)*(-6)/(-4)?
2
Suppose 6*w - 2*w = 80. Suppose 4*o = 13 + 27. Calculate the smallest common multiple of o and w.
20
Suppose -5 = -2*z - 3*j, -2 - 1 = 3*j. Calculate the least common multiple of z and 14.
28
Let v = -2856/47 + 44593/846. Let w = -1591271/357580 + 2/17879. Calculate the common denominator of w and v.
180
Let n be 3630/(-75)*(-3470)/(-56). Let d = n + 3004. What is the common denominator of d and 13/7?
14
Suppose 0 = -2*h + 3*m - 9 - 7, 5*m = -3*h - 5. Let v = 13 - h. Calculate the least common multiple of 6 and v.
18
Let h be -1 + 163/(-5) + 1. Let j = h - -337/10. Calculate the common denominator of j and -133/12.
60
Let h = -22 - -16. Let n = h - -12. Suppose 16 = f + 2*b - n, f - 3*b = 17. Calculate the least common multiple of f and 20.
20
Let w = -5 + -1. Calculate the smallest common multiple of 7 and 10/(-5)*w/3.
28
Suppose 4*d - 9 = -r, -2*r + 14 = 5*d - d. Let k = 20 + -14. Let v = k - 1. Calculate the lowest common multiple of v and d.
5
Let b be ((-1)/(-6))/(2/238). Let z = 8 - b. Calculate the common denominator of 126/32 - (-1 + 2) and z.
48
Let s = 2867 - 31501/11. Find the common denominator of s and -7/3.
33
Let q = -40579 + 3083921/76. What is the common denominator of q and 23?
76
Let b be (-1)/(-3) - (-103)/(-3). Calculate the lowest common multiple of 6/9 - b/3 and 4.
12
Let l(u) = u - 3. Let s(g) = g - 2. Let j(o) = -3*l(o) + 4*s(o). Calculate the lowest common multiple of j(8) and 8.
72
Suppose -h - 4*j + 18 = 0, -72 = -5*h - 0*j - 2*j. Let r = h + -12. What is the smallest common multiple of (-24)/(-14)*(2 - -5) and r?
12
What is the common denominator of -55/6 and ((-7)/(-24))/((-951)/(-156) + -6)?
30
Suppose 7*m = 5*m + 32. What is the smallest common multiple of m and 16?
16
What is the lowest common multiple of 4 and 2/(-3)*(-72)/12?
4
Let a = 27 + -17. What is the least common multiple of 2 and a?
10
Let n(g) = -g**2 - 6*g. Let s = -11 - -18. Suppose s*r = 4*r + 24. Calculate the smallest common multiple of n(-4) and r.
8
Suppose 4*x = 7 + 1. What is the common denominator of 2/(-8) + 350/(-72) and (-141)/(-24) + x/2?
72
Let q = 1881 + -569. Let a = q + -23545/18. Calculate the common denominator of 47/2 and a.
18
Suppose -b + q + 3 = 0, 4*q = -4*b - 0*q + 20. Suppose -3*d - 56 = -3*r + d, 0 = -3*d + 12. What is the lowest common multiple of r/(-2)*(-2)/b and 2?
6
What is the least common multiple of 1*-1 + (-15)/(-5) and 12?
12
Let a be (-33)/3*4/(-2). Suppose 0 = 3*f + a - 106. What is the lowest common multiple of 2 and f?
28
Let p(g) = -g**3 - 12*g**2 - g + 4. What is the lowest common multiple of 16 and p(-12)?
16
Let j = 10797/2324 + -1/332. Find the common denominator of j and 17/128.
896
Let b(q) = q**2 + 7*q - 8. Let o = -7 - -19. What is the smallest common multiple of 