80
Let j(v) be the first derivative of v**4/4 - 2*v**3 + 5*v**2/2 + 3*v + 1. Let p be -10*(5/(-2) + 2). What is the smallest common multiple of j(p) and 6?
6
Let o = 1050/31 - 45193/1240. Calculate the common denominator of o and 2/32*25276/(-923).
520
Suppose -j - 533 = -i - 2*j, -4*i - 5*j + 2133 = 0. Let h = -3152868/11 - -286092. Let v = h + i. Find the common denominator of v and 53/14.
154
Suppose 4 = 4*y - 3*w, 0 = y + 2*y + 2*w + 14. Find the common denominator of -2*(-65)/(-90) - (-2)/6 and (y/(-6))/(12/378).
18
Let k = 36 + -20. Let a(g) = 4*g - 62. What is the smallest common multiple of 10 and a(k)?
10
Find the common denominator of -7 - 765/(-310) - (-6 + 0) and -97/74.
2294
Let n = -9 - -15. Let i(f) = f - 8. Suppose 0 = 9*t - 79 - 29. Calculate the smallest common multiple of n and i(t).
12
What is the lowest common multiple of 3*(-4)/10 - (-992)/10 and 8?
392
Suppose 0 = 5*f + 91 + 149. Find the common denominator of (-2)/(-8) + (-9)/(-8) and (-16)/f - (-217)/78.
104
Let w(n) = n**3 + 3*n**2 - 3*n + 2. What is the least common multiple of w(2) and -12*(-7)/56 - (-65)/10?
16
Let k = 58 - 36. Suppose 0*p = -2*p - 64. Let u = -16 - p. Calculate the least common multiple of u and k.
176
What is the smallest common multiple of 30 and (108/16)/((-9)/(-24))?
90
Let j = 14490557/30 + -482921. Let x = j - 275/3. Find the common denominator of 13/14 and x.
70
Let v be 16/12*1363729/48. Let u(m) = -m + 37884. Let q be u(0). Let f = q - v. Calculate the common denominator of f and -109/10.
180
Let z = 39565/7272 + 3/808. Calculate the common denominator of z and (6/8)/((-9)/(-40)).
9
Let g = 394603/204876 + -1/7588. Calculate the common denominator of 56/27 and g.
27
Let p(l) = 2*l**3 - 7*l**2 - 3*l + 10. What is the least common multiple of 186 and p(4)?
1302
Suppose 5*m - 24 = m. Suppose -8 + 5 = -x. Suppose 21 = w + 3*h, 4*w - x*h - 44 = -7*h. Calculate the smallest common multiple of m and w.
6
What is the common denominator of 2 + -6 - (-38617)/10120 and -79/400?
4400
Let p = -175605/25844 + 991/142. Calculate the common denominator of 87/28 and p.
364
Let f = -518 - -749. Calculate the smallest common multiple of 2 and f.
462
Suppose 194 = 2*i - 0*p - 4*p, -7*i + 744 = -p. What is the lowest common multiple of 6 and i?
642
Calculate the common denominator of -43/128 and 2619/546 + 0 - (-16)/(-104).
896
Let a(k) = -65*k + 41. What is the least common multiple of a(-5) and 21?
2562
Suppose 4*h + 146 - 38 = 0. Let y be 36/h*3/(-2). Suppose -y*i - 41 = -3*i. Find the common denominator of 74/9 and i.
9
Suppose -8*m = 101 - 981. Suppose 9*p - m = 25. Calculate the smallest common multiple of p and 33.
165
Let c(l) = 2*l**2 + 5*l - 4. Let s = -276 - -404. Let z = -112 + s. Calculate the lowest common multiple of z and c(-4).
16
Let f(v) = v**2 - v - 4. What is the lowest common multiple of (-8)/32*(60/(-3) + 8) and f(4)?
24
Suppose -549 = 58*s - 61*s. What is the lowest common multiple of s and 15?
915
Let a(t) = -394*t - 9. Let z be a(14). Let v = z - -55303/10. Calculate the common denominator of 103/12 and v.
60
Suppose -699 = 3*d + 3*s, -5*d + 3*s - 197 = 992. Calculate the common denominator of (-1 - (-15)/10)*(-81)/6 and (9/(-48))/((-6)/d).
8
Let c be 2/(-4) - (-77)/(-22). Find the common denominator of (-2964)/864 + (-2 - c) and -47.
72
Let y be ((-20)/(-14))/2*(-6)/255. Let m = -365/476 - y. Find the common denominator of m and -13/6.
12
Suppose -60 = 13*s - 8. Let z(a) = -a**3 + a + 11. Let o be z(0). Let f = o + s. What is the least common multiple of 7 and f?
7
Let k = -1570165/64 + 24533. Calculate the common denominator of 127/12 and k.
192
Let h(l) = -l**3 + 21*l**2 - 49*l - 26. What is the lowest common multiple of 24 and h(18)?
192
Let f be (-1 - -2)*(-10534)/(-4). Let m = f - 2702. Let b = -73 - m. Find the common denominator of b and -109/12.
12
Let r be 28/(-6) + (-2)/(-3). Let y = 1 - r. Let n = 17 + y. What is the lowest common multiple of n and 16?
176
Let q be 10/4*(155/25 + -7). Let m = 27293/20 - 1365. Calculate the common denominator of m and (-35)/(-175)*(-23)/q.
20
Let b = -419 - -3766/9. Find the common denominator of b and -44/669.
2007
Let d = -267 + 134. Let g = d + 170. What is the lowest common multiple of g and 4?
148
Suppose 4*f + 31 = 4*l + f, 2*l - 2*f - 16 = 0. Suppose -l*a + 4*a = 0. Suppose -3*y = -a*y - 18. Calculate the least common multiple of y and 22.
66
Suppose 5*b - 386 = 2*q, -3*q = -0*b - b + 85. What is the smallest common multiple of b and (182/143)/(-14)*(-2 - 9)?
76
Calculate the common denominator of (-2)/(-33)*279/(-4) and 51/(-30) + (9 - 9)/(-6).
110
Calculate the common denominator of 45/14 and 104/(-264)*(-81)/(-18).
154
Let j = 16 - 13. Let i = 1 + 2. Calculate the least common multiple of i and j.
3
Let l = -754/47 + 171571/10434. Find the common denominator of l and -39/10.
1110
Let a(d) = 9*d - 15. Let c(y) = -y + 1. Let o(t) = -a(t) - 5*c(t). What is the lowest common multiple of o(-5) and 9?
90
Find the common denominator of -47/90 and (-75)/(-2)*(9 - 1190/135).
90
Let v = 3/2705 + 8082/29755. Suppose 4*m = 3*r + 122, 0 = -r - 4*m - 12 - 2. What is the common denominator of v and r?
11
Let s be (-10798)/(-6)*6/14. Let g = -2344 - -1581. Let w = g + s. Find the common denominator of w and 77/4.
28
Calculate the common denominator of (336/40 - 8)/((-396)/(-395)) and 71/72.
792
Suppose -6 = 435*m - 436*m. What is the least common multiple of m and 24?
24
Let m be (-94)/(-3) + 2/3. Suppose 3*k - 16 - m = 0. Calculate the least common multiple of -34*(-4)/(-2 - -6) and k.
272
Suppose 5*i = 2*i + 48. Find the common denominator of 6/i*2*190/165 and -49/4.
44
Let x be ((-10)/3)/(10/(-60)). Let j = x - 18. What is the least common multiple of j and (-5*4)/(14 - 15)?
20
Let z = -307/20 + 23/5. Calculate the common denominator of 131/18 and z.
36
What is the common denominator of 19/4 and (-2)/(-3 - -5) + 101/148?
148
Let x be -3 - 1*6/3. Let j(z) = -z + 4. Suppose 0 = -3*k + 3*q + 13 + 23, 0 = 3*k - 2*q - 33. What is the least common multiple of k and j(x)?
9
Let y = -32891/6 - -5505. What is the common denominator of 75/8 and y?
24
What is the smallest common multiple of 2 and (-266)/(-3)*900/210?
380
Let q(l) = 2*l**2 - 4 - 4*l**2 + 3*l + 3*l**2. Let k be q(-4). Suppose -5*t - 3*d = -4*d - 50, 3*t - d - 30 = k. What is the least common multiple of t and 7?
70
Let s(t) = -6*t**2 - 3*t - 10. Let r be s(3). Let q = r - -89. Calculate the lowest common multiple of 14 and q.
112
Let y = -74 - -88. What is the least common multiple of y and 24?
168
Let c = -441 + 513. Calculate the smallest common multiple of 180 and c.
360
Calculate the smallest common multiple of 30/18*13/((-195)/(-36)) and 84.
84
Let a = -11648 - -46103/4. Let x = -2483/20 - a. Find the common denominator of -71/14 and x.
70
Suppose 5*a - 3*n - 419 = -25, a - 5*n - 70 = 0. Let q = a + -10. What is the lowest common multiple of 8 and q?
280
Let j = 209390/81 - 7754/3. Find the common denominator of j and 59/42.
1134
Let f(j) = 9*j**2 - j + 2. Let m be f(7). Calculate the common denominator of 0 - 3/((-216)/m) and 117/14.
126
Let u = 287/83089 + 22442250071/1661780. Let c = -13508 + u. Find the common denominator of c and -33/4.
20
Suppose 2*d - 21 = k + 107, 4*d + k = 256. Calculate the smallest common multiple of d and 64.
64
Let z be ((-168)/(-49))/(2/14). Suppose -4*u + 0 = -z. Calculate the lowest common multiple of u and 5.
30
Let k = -531/330832 - 1/899. Find the common denominator of k and -29/3.
1104
What is the common denominator of (-1478)/(-84) - 72/(-126) and 89/36?
36
Let l = 2 - -2. Let c be (-5)/((-220)/(-1708)) - 2/11. Let g = c + 43. Calculate the lowest common multiple of l and g.
4
Let k(i) = 7*i + 3. Let q be k(1). What is the common denominator of q/55 - 406/176 and 89/12?
24
Find the common denominator of (-42)/3372*-634 - 8 and 31/11.
3091
Suppose 5*n + 5*v = 25, -6*v + 23 = 3*n - v. Calculate the lowest common multiple of -2 - 2*(-15)/10 and (-1 - (1 + n))*-1.
3
Suppose 0 = -4*i - 594 - 606. Let p = i + 2104/7. What is the common denominator of p and -6/5?
35
Let o be 12 - 0/4*1/(-2). Suppose 0 = -o*a - 5 + 65. What is the lowest common multiple of a and 2?
10
Calculate the common denominato