c**3 + 9*c**2 - 5*c - 21. Let i be o(8). Suppose 2*r + 6 = 0, -i*r + 26 = 2*n - 5*r. What is the least common multiple of n and 5?
10
Suppose 12*i - 5 = -5. Suppose n - 2*n = 4*t - 36, 4*t - 12 = i. What is the least common multiple of n and 33?
264
Let f = -82 + 91. Find the common denominator of f/((-189)/206)*(-9)/12 and 17/18.
126
Suppose 0 = 3*c - 2*c + 2. What is the common denominator of (21/c)/1 + 2 and (-2 - (-4955)/210) + (-48)/(-84)?
6
Let g be 133/1953 - (-2 - 16/(-9)). Let w = -453/1240 + g. Calculate the common denominator of -11/12 and w.
120
What is the lowest common multiple of (-30)/(-2) + -5 + 3 + -5 and 456?
456
Suppose -2*s + 49 = -p, 0*s = -5*p + 5*s - 235. Find the common denominator of 35/6 and p/6*(-6)/(-14).
42
Let n(f) be the first derivative of -23*f**2/2 - f + 11. Calculate the smallest common multiple of n(-1) and 20.
220
Suppose 19 = 51*r - 32. What is the least common multiple of ((-3)/(-3) - 1) + 77 and r?
77
Let u = -10490/63 + 2405/14. Find the common denominator of -37/24 and u.
72
Let b = -5 + -13. Let m = b - -20. Suppose -m*g = 3*w - 16, -5*g - 3*w + 3 = -55. Calculate the lowest common multiple of 4 and g.
28
Suppose 2*y - 72 = -4*x - 8, -4*x + 3*y = -84. What is the smallest common multiple of -6 + 5 - 1*-13 and x?
36
Let d(o) = -o**3 - 4*o**2 - 2*o - 6. Let b be d(-4). Suppose 0 = -j + h + 61, b*h - 1 = 3. What is the common denominator of (-98)/(-12) - 14/j and 81/10?
90
Let u = -49 - -47. What is the smallest common multiple of 6 and (u - 48/(-9))*3?
30
Let q(h) = -h**2 - h + 11. Let g be q(-8). Let i be g/1 + -2 + 2. What is the common denominator of 10/11 and (-30)/50 - 317/i?
99
Find the common denominator of 3/(-5)*(1001/(-63) - 3) and 23/228.
228
Suppose 0 = -0*j + 2*j - 6. Calculate the least common multiple of j and 18.
18
Calculate the common denominator of (-11220)/(-110)*2/32 and -99/8.
8
Let y be -6 + 10 + 42 + -2. Calculate the common denominator of 34/17 + (-250)/y and (-40)/(-11) - 2/(-4).
22
Find the common denominator of -101/126 and (-1 - 7) + 6 + 304/105.
630
Let q be (1874076/(-80))/(4 - 1). Let r = q + 7811. Let g = 59/20 + r. Find the common denominator of 27/5 and g.
10
Let u = -164 - -88. Let i = u + 90. Calculate the smallest common multiple of i and 1/(6/(-4))*-24.
112
Suppose 3*i - 16 = 7*i, 5*h = 5*i + 50. Calculate the smallest common multiple of h and 10.
30
Let b(m) be the third derivative of 7*m**4/24 + m**3/6 + 5*m**2. Calculate the common denominator of -40/7 and b(2).
7
Suppose -22*o + 6669 = 311. What is the least common multiple of o and 68?
1156
Suppose -3*v + 4*f = -30, -v + 50 = 4*v - 5*f. What is the least common multiple of ((-24)/v)/((-4)/10) and (-92)/(-3)*9/6?
138
Let j = -198/17 + -733/102. Find the common denominator of -29/20 and j.
60
Suppose 3*a + 15 = 5*a - 5*w, -4*w = 2*a - 24. Suppose -a*y = -351 - 99. What is the smallest common multiple of y and 5?
45
Let w = 28 + -52. Let f = w + 23. Calculate the common denominator of 67/12 and 52/72 - f - 1.
36
Let w = 3955 + -7291. Let n = -601 - w. Let k = n - 76591/28. Calculate the common denominator of k and 19/14.
28
Suppose -8*a = -89 - 7. Calculate the least common multiple of 72 and a.
72
Let t = 391/188 - 13289/3384. Find the common denominator of t and -76/99.
792
Find the common denominator of 9085/(-930) - 22/341 and -79/48.
48
Suppose -3 = m - 5. Let o = 146 - 84. Calculate the smallest common multiple of o and m.
62
Let h(b) = -22*b**2 + 660*b + 24. Suppose -2*l + 85 = 5*q + 3*l, -4*l = -20. Calculate the least common multiple of h(30) and q.
24
Let c = 2086 - 1906. What is the least common multiple of 100 and c?
900
Let v = -1396 + 13937/10. Calculate the common denominator of v and ((195/(-25) - -3) + 5)*(3 - 12).
10
Let f = 5/703 + -1973/178562. Let s = f - -6287/127. Find the common denominator of s and -31/18.
18
Calculate the common denominator of (-1300)/(-130) + 170/(-14) and -79/14.
14
Let q(r) = -r**3 + 4*r**2 + 6*r. Let j(f) = -f**3 + 4*f**2 + 2*f - 3. Let a be j(4). What is the smallest common multiple of q(a) and 1?
5
Let q be (-25557)/(-330) + (-3 - 1). Let x = q - 930/11. Calculate the common denominator of x and (-13)/2 + 0 + 2.
10
Suppose -16*t + 43*t - 2835 = 0. What is the smallest common multiple of 25 and t?
525
Suppose 0 = 5*p - 3*b - 1009, 0*b - 2*b = 3*p - 594. Suppose -4*g - 44 = -15*g. Calculate the least common multiple of 2 and -3*(p/(-15))/g.
10
Let c = -2547459/112 - -22745. Find the common denominator of -49/58 and c.
3248
Let t = 657764221/143880 - 1949/5995. Let n = t - 4573. Find the common denominator of 97/16 and n.
48
Suppose -54*y = -63*y + 306. What is the smallest common multiple of 8 and y?
136
Let d = 20/841 + 29317/75690. Find the common denominator of d and -19/70.
630
Suppose 0*w = -5*f - 5*w - 15, -19 = -2*f + 3*w. What is the lowest common multiple of 123 and f?
246
Suppose 0 = 8*a + 11 - 3. Find the common denominator of 41/8 and ((-98)/(-2674))/(2/10*a).
1528
Suppose 2*p - h = 2, -5*h - 17 = 5*p + 8. Let o be 9*(2 + p - 2). Let n = o - -20. What is the least common multiple of 1 and n?
11
Let i = 77553/8 + -9706. Calculate the common denominator of i and 40/137.
1096
Let j = 1059507/110 + -9632. Find the common denominator of -57/176 and j.
880
Suppose 3 + 5 = 4*t. Let i(p) = t*p - 3 - 3 - 1. Calculate the least common multiple of 7 and i(6).
35
Suppose 8 = 43*s - 42*s. Suppose 12 = 5*r - 2*i, 2*i + 2*i = -4*r + 4. Suppose r*u = -u + 42. What is the lowest common multiple of u and s?
56
Calculate the common denominator of (-1)/(-16)*2*58 and (99/(-6))/((-665)/(-190)).
28
Suppose u + 0 + 6 = d, 3*d = -3*u + 48. Calculate the lowest common multiple of 110 and d.
110
Let i(k) = -k**2 - 10*k + 14. Let c be i(-8). Find the common denominator of -45/7 and c/(-40)*(-76)/18.
42
Let a be 4/18 - 2944/(-36). Let z = 136 - a. Calculate the lowest common multiple of z and 10.
270
Let x(t) = -3*t + 2 + 2*t**2 - 6 - 2*t. Let z = 38 - 34. Calculate the least common multiple of 2 and x(z).
8
Let x = 418/3 - 130. Calculate the common denominator of 2 + 2/(120/206) and x.
30
Let f = 3533/4 + -907. What is the common denominator of (-7 + 0)*(-153)/3978 and f?
52
Suppose -3*v + 28 = -4*x, -v + 27 = -4*x - 9. Let i = 17 + x. What is the smallest common multiple of i and 21/2 + (-10)/(-20)?
77
Suppose 0 = x - 23 - 7. Suppose 2*p - 4*i - 56 = 0, -4*i - 206 + 84 = -5*p. Calculate the least common multiple of p and x.
330
Calculate the common denominator of -123/400 and (-707)/10*9/(-252).
400
Suppose 3*i - 4*i + 2 = 0, -70 = 4*g + 5*i. Find the common denominator of -31/10 and g/50*(-475)/(-4).
10
Let f be (-88054)/56*12/6990. Let u = f + -1/1631. Find the common denominator of 23 and u.
10
Let d = -20122 + 442795/22. Calculate the common denominator of -53/6 and d.
66
Let u be (-2 - -2)/(2 - -1). Suppose -15 = -u*a + 5*a. Find the common denominator of (-61)/a + (-4)/(-8) and 24/7.
42
Let i(w) = 24*w**2 - 5*w + 3. Let o be i(4). Calculate the common denominator of o/(-22) - (-4)/22 and 5*((-224)/(-180))/7.
18
Let m = -241373/78800 - -3/4925. Find the common denominator of -101/514 and m.
4112
Suppose 4*g - r + 116 = 0, g + 2*g - 3*r + 96 = 0. Let s = g + 48. Calculate the least common multiple of 14 and (-78)/(-8) - (-5)/s.
70
Let f(g) = g + 12. What is the least common multiple of f(2) and 590?
4130
Let i = 92 + -88. Let v(g) = g**2 + 6*g + 3. Suppose 0*u - 2*u + 6 = -2*y, 5*y - 4*u + 18 = 0. What is the least common multiple of v(y) and i?
12
Let i be (-561)/2849 - (-1)/14*2. Let a = 641/222 + i. Calculate the common denominator of 49/30 and a.
30
Let i = -3127993/8 + 390457. Let k = i + 544. Let v = -59/4 + 59/2. Find the common denominator of v and k.
8
Let m(n) = 726*n**2 - n - 3. Let c be m(4). Let d = 116207/10 - c. Find the common denominator of 77/12 and d.
60
Suppose -4*b + b + 45 = 0. Let q(f) = f**3 + f**2 + f + 16. Let z be q(0). Suppose -z*u + 17*u - 7 = 0. What is the smallest common multiple of u and b?
105
Let f = -64753/15 + 4314. Calculate the common denominator of 33 and f.
15
What is the common denominator of 151/66 and (4/(-40) + 0)*(-1210)/12?
132
What is the smallest common multiple of 6 and (-4)/36 + 74/18?
12
Let r = 6 + 2. Suppose 9 = -2*o 