56
Let y(v) be the first derivative of -1/2*v**2 + 1/4*v**4 + v**3 + 0*v - 1. Calculate the lowest common multiple of y(-3) and 11.
33
Let d(c) = -c**2 - 5*c + 16. Let f = -25 + 20. Calculate the smallest common multiple of d(f) and 10.
80
Suppose -l = -2*l - 4*r + 9, -2*l + 4*r = 6. Let n = l + 4. Suppose 0 = -n*x + 98 + 2. What is the smallest common multiple of x and 20?
20
What is the common denominator of -57/22 and ((-14)/6 + -1)/(1620/1485)?
198
Let d = -10 - -12. Suppose 0 = -d*v - 5 + 15. Suppose 0 = 4*b - 3*x - 59, -6*x = -2*x + 20. Calculate the least common multiple of b and v.
55
Let p = -339807/40 - -42456/5. Let a = p + 10539/40. Let y = a + -212. Find the common denominator of y and -67/16.
16
Let n = 9712691 + -52798189583/5436. Let a = n + -35/151. Calculate the common denominator of a and -71/22.
396
Let u(g) = -16*g. Let y be u(-10). Let d be 272758/y + (-5)/(-25). Let p = 1709 - d. Calculate the common denominator of p and 131/6.
48
Let g = -6 + 20. What is the smallest common multiple of g and ((-56)/(-98))/((-2)/(-77))?
154
Suppose -1 + 19 = -i. Calculate the least common multiple of (1*2)/(i + 20) and 2.
2
Let a(k) = -2*k - 5. Let q = -10 - -7. Let h be a(q). Find the common denominator of (104 - 5)*h/(-10) and -22/9.
90
Suppose 0 = -v + 2*v. Suppose 0 = -l + x - 1, x = -5*l - v*l - 17. What is the common denominator of (-2)/20*38 + l and 71/6?
30
Let f be 10/(-35) + (-124995)/(-441378). Let h = f - 1/93. Let y = -3075/1808 - h. What is the common denominator of y and -103/12?
48
Let n(f) = -6*f**2 - f. Let v(m) = 5*m**2 + m. Let p(r) = 3*n(r) + 4*v(r). Let l be p(-2). What is the common denominator of -119/10 and 4/l - (-151)/(-18)?
90
Let o(g) = -g**2 - 7*g + 17. Suppose 28 = -3*w - 4*k, 4*k - 2 = w + 2. What is the lowest common multiple of o(w) and (-33)/(-4) - (-4)/(-16)?
72
Let a = 12 - 22. Calculate the common denominator of (5 + -22)*1*-1 and 8/((-28)/a + -3).
1
Let u = -885 + 7089/8. Suppose -3*a - 440 = -7*a. Find the common denominator of u and 3/(-3)*5/a.
88
Let m = -13 - -21. Calculate the smallest common multiple of m and 7/(-2)*-24*2/3.
56
Suppose 19 = -m + 3*c - 2, 0 = -m + c - 21. Let o = m - -12. What is the common denominator of -103/6 and o + 6 - 57/(-8)?
24
Let d = -12826 - -12834. Calculate the lowest common multiple of d and 2/4 + 263/2.
264
Let g(x) = 37*x. Let l(h) = 2*h**2 + 27*h + 15. Let a be l(-13). What is the least common multiple of g(a) and 20?
740
Suppose 4*v = 6*v, -2*g + 5*v + 8 = 0. Suppose h - 4 = 2*h. Calculate the smallest common multiple of g and (8/(-12))/(h/42).
28
Calculate the common denominator of 3/(-7) - 3/(-5040)*-3032 and -62/27.
270
Suppose 5*s - 67 = 4*d, -s - 23 = -2*s - 4*d. Suppose 5*w = 4*w + s. What is the least common multiple of 21 and w?
105
Let k be 1/(-5) + 209461/(-45). Suppose -4*d + 8*d = 18592. Let o = d + k. Find the common denominator of -16/5 and o.
45
Suppose -3*x + 6*x + 5*m + 32 = 0, 78 = -5*x + 4*m. Let g be 10/(-1088)*x/(-21). Let s = g - -7859/816. Find the common denominator of -87/8 and s.
8
Calculate the common denominator of -43/51 and (7 - (-178)/(-66)) + -3.
561
Suppose -4*w - 18 = -w. Let x be w*((-657)/24 - -2). Let n = x - 150. What is the common denominator of n and 34/5?
20
Suppose -2*l + l = 1, 5*o + 2*l = 728. Calculate the common denominator of o/(-20) + 8 + -10 and 37/16.
80
Let m(i) = -5*i - 1. Let r be m(2). Let f = r + 21. What is the common denominator of (-84)/f - 3/(-2) and 69/4?
20
Let s(z) = -z**2 + 5*z - 1. Let w be s(4). Find the common denominator of (1/2)/((-3)/28) and 2/(w/(-87)*2).
3
Let m(k) be the first derivative of -k**3/3 - 5*k**2/2 + 10*k + 21. Calculate the smallest common multiple of 46 and m(-5).
230
Calculate the common denominator of 53/4 and (-16)/(-24) + 43/6.
12
Calculate the common denominator of -1*139*(-3)/18 and (-1 - (-36)/30)*(-90)/(-16).
24
Let q be 219/6 - 2/(-4). Let y = q + -26. Suppose -y*o + 20 = -9*o. What is the least common multiple of 12 and o?
60
Calculate the lowest common multiple of 288/30 - 6/(-15) and -3 - 45/(-5 + 0).
30
Let o = -2566363/104 - -24676. Find the common denominator of -61/117 and o.
936
Calculate the common denominator of 4508/1560 + (-28)/35 and -113/60.
780
Suppose 0 = 21*x - 174 - 162. What is the lowest common multiple of 440 and x?
880
Let j = -66 - -67. Let n = 8 + 7. What is the smallest common multiple of n and j?
15
Find the common denominator of ((-195)/(-27))/(-13)*23/45 and 4/21.
567
Let g = -2369/1808 + 28/113. Calculate the common denominator of ((-11)/(-616)*21)/((-9)/(-92)) and g.
48
Let r(j) = -10*j - 65. Let d(q) = -3*q - 22. Let h(t) = 7*d(t) - 2*r(t). Let i be h(0). Calculate the lowest common multiple of i/(-42) - (-20)/14 and 2.
2
Let i = 6499727/132 + -49240. Find the common denominator of -67/10 and i.
660
Let j = 3693 - 66353/18. Find the common denominator of j and (-2)/52 + 44/(-12) + 4.
234
Let v be (-12 - (-2 - -5)) + 0/2. Let c(i) = -i**2 - 16*i + 23. Calculate the lowest common multiple of c(v) and 8.
152
Let v = -4681259447927/367360092 + 1/20408894. Let q = v - -12742. Let d = q - 70/9. What is the common denominator of -43/26 and d?
52
Suppose -2*s - 15 - 11 = 0. Let o = 10 + s. What is the smallest common multiple of 4 and 1*o/((-6)/20)?
20
Let i = 34 - 31. Suppose 2*m = 2*x + 38, -i*m - 4*x + 140 = 2*m. Calculate the smallest common multiple of m and 3.
24
What is the least common multiple of (342/27)/((7/(-6))/(-7)) and 16?
304
Suppose 2*q = 3*r - 14, -3*q = -4 - 11. Suppose -73 + 9 = -r*t. What is the smallest common multiple of t and 13?
104
Let j = 21721 + -2020073/93. Find the common denominator of 41/11 and j.
1023
Let b be (-2)/(-9) + (-4144)/(-63). Suppose 5*l - b + 13 = n, 0 = -2*l + 5*n + 35. Calculate the lowest common multiple of 10 and l/(-35) + (-426)/(-21).
20
Suppose 2*f = 285 - 93. What is the smallest common multiple of 8 and f/40*5/2?
24
Let w = -263/111 - 11/37. Let a = -12 + 14. Calculate the common denominator of w and (-1)/a + (-10)/(-25).
30
Let n = 31982/39 + -820. Let p = -1093 + 4351/4. Find the common denominator of n and p.
156
Let p(t) = 5*t - 8. Let n be p(4). Let y be (30/n)/((-10)/(-24)). Calculate the lowest common multiple of (-32)/10*(-15)/y and 9.
72
Suppose -4*h - q = -5, 2*q - 4*q - 2 = 2*h. Let v be 15/(-5)*h/(-3). Calculate the common denominator of (4 - v) + (-38)/46 and 13/4.
92
Find the common denominator of 8/(-44) - 323/(-264) and 35598/13464 - (18/(-33))/2.
24
Suppose -3*f + 20 - 1 = 2*o, 4*o + 7 = 3*f. Let d(y) = y**3 - 7*y**2 + 13*y - 11. What is the least common multiple of d(f) and 11?
44
Let y = -291/50 - -7517/1225. Calculate the common denominator of 27/20 and y.
980
Suppose 0 = b - 5 - 11. Let y = 107 - 91. Suppose 40 = 4*c + y. What is the lowest common multiple of c and b?
48
Let w(u) = -u**3 + 11*u**2 - 2*u + 21. Let a be w(11). Calculate the least common multiple of 10 and (1/1 - -9) + a.
90
What is the common denominator of -89/30 and (-1453)/(-200) - 2*35/10?
600
Let r = -16 - -10. Let f be -8 + r + 2 + 1. Let w = 15 + f. Calculate the lowest common multiple of 10 and w.
20
Suppose 0 = 3*g - 3*f - 42, -4*g + 2*g = 2*f - 20. What is the smallest common multiple of (-2)/14 + ((-355)/(-7))/5 and g?
60
Let s = -13522 + 7004377/518. Let f be 11/33 - 75338/(-6216). Let r = s + f. What is the common denominator of -3/20 and r?
60
Suppose q - 5 = -5*n + 18, 5*q + 2*n = 92. Let o(h) = -h**3 - 17*h**2 - 17*h + 4. What is the least common multiple of o(-16) and q?
180
Let m be (-5 + 3 - -2)/1. Calculate the smallest common multiple of 64*(4/4 + m) and 18.
576
Let o(r) = r**3 + 11*r**2 - 22*r - 17. Let m be o(-14). Calculate the common denominator of (873/m)/((-2)/3) and -19/14.
154
Suppose 0 = -0*c + 5*c - 5. Suppose -5*k + 3*i + 24 = -k, 1 = -5*k - 4*i. What is the smallest common multiple of k and c?
3
Let b = 15 - 12. Let t = 821/2 + -396. Calculate the common denominator of t and (12/8)/(216/(-71) + b).
2
Suppose 7*x - 5*x = 4. Let y = x - 8. What is the common denominator of ((-816)/(-54))/((-4)/y) and -34/7?
21
Let l = -5610 + 50434/9. Let z(v) = v - 1. Let p be z(5). Calculate the common denominator of ((-126)/p)/((-12)/16) and l.
9
Let d(k) = -7*k + 73. Suppose -2*p = -4