t o(x) = 5*x**2 - 1. Let p be -1 + 1 - (-1)/(-1). Calculate the smallest common multiple of 1 and o(p).
4
Calculate the common denominator of 37/15 and 3/(-972)*-698 - (-4 - -7).
810
Let p(j) be the second derivative of j**4/12 - j**3/6 + 7*j**2/2 - 43*j. Find the common denominator of 73/34 and p(0).
34
What is the common denominator of 1 - -1 - 101/2 and (-8)/6 + (-702)/(-104)?
12
Suppose -4*b + 181 = -259. What is the common denominator of 3/20 and (-210)/(-176) - (-20)/b?
40
Find the common denominator of (-40)/(-220) - (8875/462)/(-5) and 25/12.
84
What is the least common multiple of 60 and ((-3)/((-18)/(-318)) + 2)/(-1)?
1020
Suppose 3*u + 221 = 734. What is the lowest common multiple of u and 209?
1881
Let j = 17 - 15. Calculate the least common multiple of 1*-3 - (-25)/1 and j.
22
What is the common denominator of 143/36 and (781/33)/(-13 - -1)?
36
Let j be (-4*1*-1)/((-12)/(-6)). What is the common denominator of -7*(-148)/(-96) + j/12 and -51/14?
56
Suppose -12*k + 26 = -46. Calculate the lowest common multiple of 52 and k.
156
Suppose l = 5*n - 17, 3*n - 5*l + 19 = 38. What is the least common multiple of n and 170?
510
Let f be (3/(-6))/(3*4/(-192)). Suppose -f*g + 2*g = -18. What is the least common multiple of 6 and g?
6
Suppose 3*p + 3 = -36. Let c = 18 + p. Let b(q) = q**3 - q**2 + q - 1. Calculate the lowest common multiple of b(3) and c.
20
Suppose -4*z - 62 = -2*a, -3*a = -z - 0*z - 88. Let f = a - 21. Calculate the common denominator of -47/10 and (8/20)/(f/(-30)).
10
Let p = -46 - -67. Let c = -63 + 36. Let v = 38 + c. Calculate the lowest common multiple of v and p.
231
Let n = -2756 - -68874/25. Find the common denominator of -22/5 and n.
25
Suppose -90 - 38 = -16*v. What is the lowest common multiple of 12 and v?
24
Let b = -1732 - -13929/8. Let q = 4870319888713/4182 + -1164591060. Let w = q - -30/697. What is the common denominator of b and w?
24
Let q = -771704/105982415 - -42/5857. Let o = q - 705557/1339030. Find the common denominator of o and -65/18.
666
Let q = -46 + 45. What is the smallest common multiple of q + (-9)/(-6) + 95/10 and 4?
20
Suppose -4*m + 28325 = 4657. Let r = -236613/40 + m. What is the common denominator of 43/32 and r?
160
Let k = 16/261 - 18073/1044. Suppose -2*h = 3*h - 170. Find the common denominator of k and (h/(-6))/(2/4).
12
Let g be -1*4 - -3 - (-39 - -3). Let y(s) = -4*s**3 - 2*s**2 - 3*s - 2. Let c be y(-2). Calculate the common denominator of -44/15 and (-1 + g)*6/c.
105
Let s = -74/193 + 312451/965. Let x(v) = -21*v**2 - 3*v + 6. Let z be x(-4). Let f = z + s. What is the common denominator of -87/8 and f?
40
Let y(p) = 3*p - 14. Let n = -14 + 20. Let q = 8 + -6. What is the lowest common multiple of q and y(n)?
4
Let g be ((-6)/4)/(9/54). Let s(j) = j**2 + 7*j - 10. Let t(x) = 3*x - 1. Calculate the smallest common multiple of t(1) and s(g).
8
Suppose -2*q + 0*q = 20. Let o be (-138)/(-8) - (-2)/(-8). Let g = q + o. Calculate the smallest common multiple of g and 7.
7
Suppose 0 = 2*n - x - 111, 0 = -5*n + 13*x - 14*x + 267. Calculate the least common multiple of 27 and n.
54
Suppose 956 = 5*f + 326. Calculate the least common multiple of 70 and f.
630
Suppose 2*s - 120 = -3*s. Suppose 35*m - 344 + 296 - 582 = 0. Calculate the lowest common multiple of s and m.
72
Suppose 67 + 11 = 2*z. Find the common denominator of (2*(-2)/96)/(z/754) and 23/15.
180
Suppose 0 = 2*k - 4*k - 4, -2*l + k = 0. Let r be -3 - (l + -2) - 1. What is the smallest common multiple of 3*r - (-2 - 3) and 10?
10
Let b(z) = -18*z - 92. Calculate the smallest common multiple of 1 and b(-6).
16
Suppose 0 = -267*n + 272*n - 130. Calculate the least common multiple of 247 and n.
494
Suppose 0 = 3*g - 5*t - 61, 2*g + 5*t = -2 + 1. Let d be (-2)/(-6)*-3*1. Let c = g + d. What is the lowest common multiple of 4 and c?
44
Calculate the common denominator of -1 - 0 - (-291)/(-72) and ((-31666)/(-1561))/(-1 - (-86)/14).
72
Suppose 17*v = 6*v + 220. Find the common denominator of 52/27 and (104/v)/(36/(-33)).
270
Suppose -5*o + 173 = 38. Suppose 0 = 5*l + 2*y - 25 - 41, 5*l = 4*y + 48. What is the smallest common multiple of o and l?
108
Let f = 160 - 144. What is the smallest common multiple of f and 18?
144
Calculate the common denominator of 93/8 and ((1309/98)/17)/(4/(-6)).
56
Let o = -838 - -20137/24. Find the common denominator of 45/28 and o.
168
Suppose -11*y + 356 - 92 = 0. What is the lowest common multiple of 3 and y?
24
What is the lowest common multiple of 15 and 45 - (3 + 2)*(4 - 5)?
150
Let r be (-5985)/324 - (-1)/4. Let i = r + 10105/558. What is the common denominator of 737/42 + 2/7 and i?
186
Let l(q) = 16*q**2 + 14*q + 18. Calculate the smallest common multiple of 80 and l(-3).
240
Suppose 0 = 8*c - 9*c + 3. What is the least common multiple of 74/14 - 4/14 and c?
15
Let q = -4359 + 2183795/501. Calculate the common denominator of q and -1/30.
5010
Let q = 4/5 - 61/45. Let a = -53/9 - q. Find the common denominator of a and (-3)/(-9) + -6 + 2.
3
Suppose -39*i + 37*i + 5 = -h, 3*h + 9 = 0. Let u(m) = m + 9. What is the least common multiple of i and u(-4)?
5
Suppose 11 + 14 = -5*k - 5*q, q + 7 = -2*k. What is the common denominator of -1 - k - (140/45 + 5) and 83/4?
36
Suppose -1156 + 71 = -31*y. What is the smallest common multiple of 60 and y?
420
Let z(x) = x**3 + 13*x**2 - 19. Calculate the lowest common multiple of 45 and z(-12).
1125
Let h = -7 + 9. Suppose 4*d - 26 - h = 0. Let x = 0 + 4. What is the smallest common multiple of x and d?
28
Let r be (2/1)/(30/75). Suppose -3*p = -p + 4*v + 4, p + 17 = -r*v. What is the least common multiple of 10 and p?
40
Let n = -1128 - -1169. What is the common denominator of 41/271 and n?
271
Suppose -5*t = -t - 104. Let f be t/3*(-3)/2. Let v(q) = q**2 + 12*q - 5. What is the lowest common multiple of v(f) and 8?
8
Let r(h) = 111*h - 234. Calculate the least common multiple of 3 and r(6).
432
Suppose 2*z - 5*u = 382, 42*u = -5*z + 39*u + 924. What is the smallest common multiple of 1 and z?
186
Let u = 3335/4 - 403639/484. Find the common denominator of u and 68/33.
363
Suppose -5*l + 3*r = -10, 0 = -2*l - 2*r + 5*r - 5. Suppose -3*q + 30 = -l*q. Find the common denominator of ((-255)/8)/(q/(-10)) and 13.
4
Let n(p) = -p**3 + 4*p**2 + 6*p - 1. Let l(s) = 21*s + 298. What is the smallest common multiple of n(5) and l(-14)?
4
Let f = -64 - -76. Suppose -2*u + 12 = -0. Calculate the smallest common multiple of (-5 + 44/f)*-3 and u.
12
Calculate the common denominator of (-18)/(-45) - (332/95)/4 and -21/2.
38
Let v = 139515349/342 - 407940. Calculate the common denominator of -27/190 and v.
1710
Calculate the common denominator of -31/27 and ((116/(-36))/1)/(22/6).
297
Let p(a) = 4*a**2 - a - 8. Let r be p(-8). Suppose 44 + 21 = u - g, 4*u - 2*g - r = 0. Find the common denominator of (-14)/u - (-30)/4 and -73/12.
36
Suppose -3*f + 4*f - 7 = 2*q, -11 = -4*q - 3*f. Find the common denominator of (-194)/28 + (q + 0)/1 and ((-166)/5)/(2*4).
140
Suppose 4*a + 3 = 23. Suppose 0 = -4*i - a*j + 49 + 39, -2*i = 5*j - 44. Calculate the lowest common multiple of 20 and i.
220
Suppose 2*a + 2*d - 343 - 29 = 0, -5*d + 363 = 2*a. Suppose 0 = -5*u + 106 + a. What is the common denominator of (u/(-8))/((-6)/(-8)) and 47?
6
What is the common denominator of -47/52 and 131/(-9) + (2 - (-114)/(-54))?
156
Let q = -16 - 7. Let r = 7 - q. What is the smallest common multiple of 18 and r?
90
Let i be (-648)/66 + (-2)/11. Find the common denominator of ((-438)/75)/(8/10) and ((-36)/i)/(15/(-100)).
10
Let v(w) = -4*w**2 + 12*w + 2. Let x be v(6). What is the common denominator of (x/45)/7*532/(-16) and -23/16?
144
Let v(l) = 2*l**2 + 10*l - 7. What is the lowest common multiple of 15 and v(5)?
465
Let m(p) = -6*p + 71. Suppose -j + 51 = -4*k, 5*j - 3*k - 201 = -k. What is the lowest common multiple of j and m(10)?
429
Let p(f) = f**3 + 2*f**2 - 4*f. Suppose 20 = -2*v - 3*v. Let z be p(v). Let x = z - -20. What is the smallest common multiple of 38 and x?
76
Let z be 2*28 + 3 + -6 + 7. Let u = z + -109. Let m = 921 - 4659/5. Find the common denominator of m and u.
5
Let q(p) = -4*p**2 - 83*p - 10. What is the least common multiple of 150 and q(-20)?
150
Let b = -190/9 - -953/72. 