42.
462
Let p(t) = 4*t + 6. Let a be p(11). Suppose -o + a + 6 = -3*i, 3*o + 2*i - 146 = 0. Calculate the smallest common multiple of 6 and o.
150
Let o = -38735/6324 - -22/527. Find the common denominator of o and (1/7)/((-108)/(-5838)).
36
Let y = 9 - 2. Let o = y + -1. Calculate the smallest common multiple of o and 6.
6
Let n = -29 - -41. Let l be -1 - (1/(-4) - (-123)/(-4)). Suppose 2*u - 3*k = l + 18, u + 3*k - 6 = 0. Calculate the smallest common multiple of u and n.
36
Suppose 40 + 40 = 5*p. Find the common denominator of 65/8 and ((-2)/p)/(11/(-412)).
88
Let z = -40 + -20. Let o = z + 2561/43. Find the common denominator of o and 65/8.
344
Let p = -267595104/13 - -992777459711/48230. Let r = p + -1/742. Calculate the common denominator of r and -83/30.
30
Suppose -y + 5*z - 2 = 0, 2*z + 2*z - 4 = 0. Calculate the least common multiple of ((-20)/14)/((-2)/14) and (-1)/y - (-12)/9.
10
Suppose -5*v - 3*m = -8*v + 177, 2*v + m = 121. Calculate the smallest common multiple of v and 80.
240
Suppose 4*w - 99 + 7 = 0. Let i = w - 3. Calculate the smallest common multiple of i and ((-6)/4)/((-3)/28).
140
Let n = -7 - -11. Suppose 2*k + 2*k = 16. Suppose -l + k*l + n*h - 2 = 0, 0 = 2*l + 2*h - 4. What is the least common multiple of l and 5?
30
Let v = -104101/53306 + -4/2423. What is the common denominator of v and ((-4)/(-6))/((-44)/(-303))?
22
Let t = -199432 - -1997043/10. Let k = t - 273. Calculate the common denominator of 3/34 and k.
170
Suppose -c - 11 = -4*c + 4*y, -18 = c + 3*y. Let d(l) = -l + 18. Calculate the least common multiple of d(8) and 1 + -1 + 3 - c.
30
Suppose 5*r - 36 = -3*b, -3*r + 2*b - b = -16. Let q = -203303/16 - -12701. Find the common denominator of q and -2 + (-254)/(-6)*1/r.
144
Let n be 2*(-1 + (-65)/2). Calculate the common denominator of n/13 + 4 + -3 and 48.
13
Suppose 0 = -2*o + r + 29, 5*o - 4 = -3*r + 63. Let q = -6 + o. What is the smallest common multiple of q and 18?
72
Let w = -1113 + 1203. What is the lowest common multiple of w and 270?
270
Let m = 11/27 - -17/54. Let n = -27/121 - -7543/726. Calculate the common denominator of n and m.
18
Let l = 715 + -2173/3. What is the common denominator of l and -121/18?
18
Let c be 3/62*(200 - -18). Let v = c - 6401/310. Find the common denominator of v and -103/62.
310
Suppose 27*o - 2352 = 6*o. What is the least common multiple of o and 1?
112
Let k = 9 + -15. Calculate the least common multiple of ((-40)/(-12) - 4)*k and 18.
36
Let s = -75 + 79. Calculate the common denominator of ((-6)/s - -2)/((-5)/(-445)) and 41/50.
50
Let h(a) = -3*a**2 - a - 1. Let c be h(-1). Let o be 3/1*(c + 4). Find the common denominator of 238/(-12) + o + -2 and 24.
6
Suppose 0 = q + 4*b - 32, -2*q - 11*b = -12*b - 37. Calculate the smallest common multiple of q and 38.
380
Let q = -1234 - 5054. Let o = -75511/12 - q. What is the common denominator of o and (-52 - (-1 + 2))/12?
12
Let v(l) = l - 6. Let k be v(6). Suppose k = -q - 4 + 13. Calculate the least common multiple of q and 1.
9
Let m = -108113/20 + 5403. What is the common denominator of m and 45/8?
40
Let w be (-8)/(-6) + 15/9. Let q = w + 19. Let j = 70 + -64. Calculate the least common multiple of j and q.
66
Let u = 15 + 4. Suppose -p - 2*w + u = 4, 2*p = 5*w - 6. Calculate the lowest common multiple of 10 and p.
70
Let k(f) = -2*f**3 - f**2 - 3*f - 2. Let r be k(-1). Let g = 1 + 1. Calculate the least common multiple of 9 + (-2 - ((-2)/r)/1) and g.
8
Let f = -596542079662/117 - -30533651857/6. Let i = 9708304 + f. Let k = i + -441/13. Find the common denominator of k and -57/4.
36
Suppose -5*w - 28*r + 25 = -26*r, 2 = 4*w - 2*r. Calculate the lowest common multiple of 25 and w.
75
Let s(d) = 10*d - 41. Let t(p) = 3*p + 5. What is the least common multiple of s(5) and t(4)?
153
Suppose s = 12 + 4. Let b(i) be the first derivative of i**4/4 + 8*i**3/3 - 2*i**2 - 18*i - 17. Calculate the least common multiple of b(-8) and s.
112
Let k(v) = v**2 + 5*v - 7. Let d = -2 + 9. What is the least common multiple of k(-7) and d?
7
Let l = -271/18 - -8651/576. Calculate the common denominator of 67/30 and l.
960
Let u(q) = -q**3 - 6*q**2 + 5. Let w be u(-6). Let c = w + -1. What is the smallest common multiple of -12*(-2 - -1 - 0) and c?
12
Let l(c) = 5*c - 1. Let t be l(-1). Find the common denominator of (-102)/20 + t/(-15) and 6/(-180)*-5*-106.
30
Suppose 58 = 21*b - 152. What is the least common multiple of (-6)/(-4)*(-120)/(-9) and b?
20
Calculate the common denominator of 1547/(-21560) - 2*3/33 and 57/196.
1960
Let y = -253 + 295. Calculate the least common multiple of 10 and y.
210
Suppose 3*b + 30 = 261. What is the least common multiple of b and 56?
616
Let h = -225 - -237. Let f be (2/(-2))/(2/(-6)). Let c = 3 + f. Calculate the least common multiple of h and c.
12
Let t = 97 + -92. Suppose t*i - 14*i = -18. Calculate the lowest common multiple of 3 and i.
6
Suppose 0*x + 3*x - 2*o + 36 = 0, 2*x = -3*o - 24. Find the common denominator of (x/10)/(32/(-220)) and -44.
4
Suppose -4*t = -3*c + 44, -5*c - 2 = t - 37. Suppose c = -y + 14. What is the lowest common multiple of 32 and y?
96
Let j = 1200/43 + -23605/946. Find the common denominator of 27/8 and j.
88
What is the lowest common multiple of (4/(-2))/((-28)/70) - -4 and 29?
261
Suppose 0 = 3*g - 2*g - 2. What is the common denominator of -77/26 and g - 4/144*118?
234
Calculate the least common multiple of 1240 and (-3 - -7 - 2)/((-9)/(-18)).
1240
Suppose -3*p + 4*t = -2*p + 14, 4*p - 2*t = 0. Let m = 2014 + -2008. Calculate the least common multiple of (1 + 5/p)*2 and m.
42
Find the common denominator of 1010/15*9/84 and (-1 - (-54)/(-7))/(-2).
14
Let b = -63797 - -8931619/140. What is the common denominator of b and 99/322?
3220
Let j = -1842587/29392038 - -1/83738. What is the common denominator of 50/27 and j?
351
Let x(j) be the third derivative of j**5/60 - j**4/8 - 13*j**3/6 - 17*j**2. What is the lowest common multiple of 62 and x(6)?
310
Let f = 5290 - 116399/22. Suppose b - 9626 = c, c + 4*c = -b + 9650. Let m = -134741/14 + b. Find the common denominator of m and f.
154
Suppose 5*d - 27 = 2*d. Let o(g) = -g**2 + 11*g. What is the lowest common multiple of 24 and o(d)?
72
Suppose -2 = 2*p - 6. Suppose 0 = 7*x - 29 - 6. Suppose 0 = -b + x, -90 = p*n - 7*n - 4*b. What is the lowest common multiple of n and 8?
56
Let k = 8262/13 + -197131/312. What is the common denominator of -22/69 and k?
552
Let j = -110164/33 - -3339. What is the common denominator of j and (2 + 1)*134/72?
132
Suppose 25*b + 116 = 21*b. Calculate the common denominator of -103/10 and (1 + -1 - -2)*b/4.
10
Suppose 6*b - 10*b + 16 = 0. Let y be -1 + -2 + -6 + 2. Calculate the smallest common multiple of (1/2)/(y/(-14)) and b.
4
Let g be 2/(-15) - (-122)/15. Let l be g/6*(4 - 13). What is the least common multiple of 14 and l/((18/3)/(-3))?
42
Suppose 0*x + 3*c = x - 4, 1 = -4*x - 5*c. Let j(a) = 11*a**2 - 1. Let g be j(1). Let v = g + -8. Calculate the least common multiple of x and v.
2
Let h = 1415 - 2915/2. What is the common denominator of h and 51/14?
14
Suppose -5*s + 2*s = -4*g - 76, g = s - 26. Calculate the common denominator of (-6)/(-30)*330/s and 1*-1 + (-82)/(-8).
28
Suppose 2*g = 5*o - 0 - 4, -7 = -g - 2*o. Suppose 2 = 2*k - 5*a, 2*k + 4*a + g = 5. Calculate the smallest common multiple of 5 and k.
5
Suppose 2*v = -x + 10, 0*v - 2*x = v - 2. Suppose 2*n - 3*b = -2*b + 163, -b + 237 = 3*n. What is the least common multiple of v and n?
240
Let z(m) = m**2 - 10*m - 53. Calculate the lowest common multiple of 8 and z(-4).
24
What is the least common multiple of 8 and 39888/66 + 4/(-11)?
1208
Calculate the common denominator of 53/15 + (-40)/(-120) and 68/3.
15
Let z be 177/(3/3 + 2). Let p be (-2 + 8)*z/(-3). What is the common denominator of 51/4 and p/40 - 6/(-15)?
20
Suppose -r - 1 + 2 = 0. Let o(v) = v**2 + 3*v + 11. Calculate the lowest common multiple of o(0) and r.
11
Suppose 27*m = 28*m - 36. What is the smallest common multiple of 18 and m?
36
Suppose -4*d + 8 = -4. Suppose -2*q = 3*o - 40, o - 28 = -d*q + 6*q. Suppose l + 0 = r + 3, 5*l - 2*r - 24 = 0. What is the least common multiple of l and o?
48
Suppose 8*h = 3*h + 45. What is the least common multiple of (15/10