20*t**2 - 86*t + 32. What is the least common multiple of c(14) and n?
44
Let f = 1372862 + -221031513/161. Let a be 2/(-8)*(-76)/23. Let b = f + a. Find the common denominator of b and -61/16.
112
Suppose 10 + 5 = 4*t + w, -t - 5*w + 18 = 0. Suppose -5 = t*j - 14. Calculate the lowest common multiple of 5 and j.
15
Let y = -22197/8 - -5127883/1848. Calculate the common denominator of -173/84 and y.
924
Let o(k) = 6*k**2 + 2*k - 3. Let w be o(-3). Suppose -5*d - 6*x + w = -x, x + 33 = 5*d. Calculate the lowest common multiple of 11 and d.
77
Suppose -5*o + 6 + 9 = 0. Calculate the common denominator of -151/12 and (3*(-678)/(-36))/(o + 2).
60
Let n(x) = x**3 - 30*x**2 + 58*x - 23. Calculate the smallest common multiple of n(28) and 21.
231
Suppose 29*g - 76*g + 376 = 0. What is the lowest common multiple of g and 92?
184
Let g(j) = 5*j + 39. Let c be g(-7). Suppose -4*v - 2*z = -48, -46 = -3*v - 0*v - c*z. What is the lowest common multiple of v and 34?
170
Let n = -7/7564 - -372239/1732156. What is the common denominator of n and -47/3?
687
Calculate the smallest common multiple of 12 and (-2)/((-1312)/216 + 6).
108
Let t = 2411 + -4867/2. Let q = 783 + -1607/2. Find the common denominator of t and q.
2
Suppose -6*y + 10 + 26 = 0. What is the smallest common multiple of 386 and y?
1158
Suppose -2*c + 34 = -3*k, 6 = -k - c - 2. Let t = 12 + k. Calculate the common denominator of (21/(-4))/(t + 10) and 29/16.
16
Let g(l) = l**2 + 2*l - 16. Let r = -8 - -10. Suppose -3*i - 4*a = 0, 5*i + r*a - 21 + 7 = 0. What is the least common multiple of i and g(-6)?
8
Let u(i) = -i**2 - 17*i + 27. Calculate the least common multiple of u(-18) and 8.
72
Let i = 465839/24 - 19407. Calculate the common denominator of -43/8 and i.
24
Let o(g) = -g**2 + 36*g - 291. Let z = -15 - -21. Calculate the smallest common multiple of o(13) and z.
24
Let l = 69053/24 - 2876. Let g = -1822/3 - -614. Calculate the common denominator of l and g.
24
Let t be (13 - 40)*1/3*2. Find the common denominator of 3/t*-3*278/12 and 73/18.
36
Let j(l) = 11*l**2 + 3*l + 2. Let s be j(-1). Let v = s - 20. Calculate the common denominator of (-45)/(-10)*v/48 and -101/8.
16
What is the common denominator of -69/52 and (10/24)/((-416)/(-4680))?
208
Let q = -760 + 958. What is the smallest common multiple of q and 198?
198
Suppose 0 = 4*n - 191 + 51. Let h = n - 27. Calculate the lowest common multiple of -1 + 4 - (0 - 15) and h.
72
Let m(a) = -4*a - 6. Let j be m(-3). Suppose -3*p - 9 = -2*d + j, -2*d = p - 3. Suppose d*r = -r + 40. What is the least common multiple of 10 and r?
10
Let t = 43889583/35 - 130219554566/103845. Let s = t + -1/5934. What is the common denominator of 41/6*(0 - -1) and s?
42
Let f = 736673/30 + -24550. Find the common denominator of f and -107/120.
120
Let o(f) = -f**3 + 6*f**2 + 2*f + 5. Let l = 32 + -26. Let z be o(l). Let n = 25 - z. Calculate the least common multiple of n and 14.
56
Let s be ((-6)/(-495) + 0)/((-8204)/6294729). Let p = 107/62671235 - -6/19445. Let q = s + p. What is the common denominator of 143/6 and q?
30
Suppose -41*h = -69*h + 16660. Calculate the least common multiple of 3 and h.
1785
Let x(f) = -f**3 + 6*f**2 - 4*f + 3. Suppose -236 = t + 3*t + 4*n, -3*t - 4*n - 182 = 0. Let z = t + 56. Calculate the smallest common multiple of x(5) and z.
8
Let k(u) = 16*u**2 - u + 1. Let a(o) = -16*o**2 + 2*o - 2. Let t(c) = 2*a(c) + 3*k(c). What is the smallest common multiple of t(1) and 20?
80
Calculate the common denominator of -61/88 and 30/(-14)*(-322)/(-736).
176
Let i be -3*4/4 + 3. Suppose i = 4*m + 21 + 35. Calculate the least common multiple of ((-14)/(-5))/(m/(-70)) and 50.
350
Let t be (-7988519)/(-7)*((-118)/60 - -2). Let p = 38044 - t. Calculate the common denominator of p and 22.
30
Let o = 15 - 15. Suppose -4*j + 2*h + 74 = o, 3*j + 5*h = 2*h + 51. What is the smallest common multiple of 3 and j?
18
Suppose -5*u + a + 90 = -4*a, 3*u + 2*a - 39 = 0. What is the common denominator of -3 + (1 - 265/u) and 44/19?
57
Let j(x) = 12*x**2 - 3*x - 5. Let l be j(-2). Let s = l - 45. Calculate the smallest common multiple of s and 2.
4
Let f = -1716 - -82375/48. What is the common denominator of f and -157/42?
336
Let g(i) = -i**2 - 1 + 0 + 3*i - 3 + 2*i. Let m be g(6). Calculate the common denominator of m - -8 - 39/(-8) and -11/7.
56
Let v(u) = u**3 - 8*u**2 + 12*u - 30. Let y be v(7). Suppose g - y*h = -3, 11 = 4*g + 3*h - 23. Calculate the lowest common multiple of 8 and g.
56
Let u = 7520095/533 + -14109. Let j = u + 27191/2132. What is the common denominator of 2/(-10) - 528/135 and j?
36
Let m = 161/622255 + 33408207962/157430515. Let s = -4687/46 + m. Let t = s - 746/11. Calculate the common denominator of 53/20 and t.
20
Let y = -799/117 + 67/9. What is the common denominator of y and 7*(19/2 - 3)?
26
Let o = -28/109 + 7019/2289. What is the common denominator of ((-268)/120)/(-1) + -1 and o?
210
Suppose 0 = -2*o - 3*o - 2*c + 1394, -2*o = -2*c - 552. What is the common denominator of -76/15 and (o/48)/(4/8)?
60
Let w(g) = g - 3. Calculate the smallest common multiple of (-2)/(-4)*(-8)/4*-1 and w(10).
7
Let c(y) = 2*y**3 + 4*y**2 - 36*y + 138. Calculate the smallest common multiple of 7 and c(4).
1302
Suppose 4*c + 24 = 4*n, -2*n + 6*n = 2*c + 14. Calculate the common denominator of 1 - 1 - 275/45*n and 24/11.
99
Let u = 1 - 9. Let h = -8 + 1. Let q = h - u. Calculate the least common multiple of q and 2.
2
Suppose -i = -0*i - 69. Suppose -i = -3*n - 2*c, -3*c + 3 + 112 = 5*n. Let l = n - 11. What is the lowest common multiple of 14 and l?
84
Let i(x) = 2*x**2 + 6*x. Let z be i(-6). Let c = z + -33. Calculate the smallest common multiple of 3 and c.
3
Let i(n) = -10*n - 11. Let w be i(-9). Suppose -8*x + w = 15. Suppose -3 + x = r. What is the smallest common multiple of 5 and r?
5
Let w(v) = v**3 - 40*v**2 + 39*v + 81. What is the smallest common multiple of 108 and w(39)?
324
Let y = 6 - -9. Calculate the common denominator of (3 - 530/y)*(-3)/(-8) and 71/9.
72
Let q(o) = -514*o - 2. Calculate the least common multiple of q(-1) and 6.
1536
Let s = 43 + -27. What is the smallest common multiple of s and 44?
176
Let o(n) = 8*n**2 + 21*n + 72. Calculate the least common multiple of 2 and o(-6).
234
Let d = -109 - -196. Suppose 0 = -b - 2*b + d. Let y = b + -21. What is the least common multiple of 3 and y?
24
Let q be 3 + 11 + 3 + -2. Let d = 17 - q. Suppose 2*z - 31 = 3*x, -3*x = 2*z - d + 1. What is the least common multiple of z and 14?
56
Let s(u) = 2*u**3 - 5*u**2 + u - 4. Let w be s(4). Suppose 3*x - q = 46, 4*x - w = 4*q - 0*q. Let g = 5 + x. What is the smallest common multiple of 2 and g?
22
Let f = -697/5 - -18377/130. What is the common denominator of 17/152 and f?
1976
Calculate the common denominator of (-371)/102 - -5 - 2 and 25/3.
102
What is the lowest common multiple of ((-10)/(-6))/(5/6) and 285/30 - ((-6)/4)/(-3)?
18
Suppose 4 = 2*i, 4*g = -2*i + 4*i + 16. Suppose -2*u - 13 = 5*d, d = -g*u + 2*d + 35. Calculate the least common multiple of 21 and u.
42
Suppose c - 5*b = -18, c - b + 3 = b. Suppose 3*g + 11 = -2*j + c*j, -2*j = -8. What is the lowest common multiple of g and 2?
6
Let u = -15979/3860 - 195/193. Suppose 0 = -y + 3 - 5. What is the common denominator of u and (-1)/y*(-1107)/297?
220
Let u be (-8)/10*150/12. Let l be (u/(-4))/((-4)/(-8)). Suppose l = i - 1. What is the smallest common multiple of 2 and i?
6
Let g = 8602/513 - 282/19. Let n = 3146/545 + 3/109. Find the common denominator of g and n.
135
Suppose 3*k - 69 = 12. Let i = -5 + k. Suppose 0*w = -g + w + 12, 2*w = 5*g - 48. Calculate the lowest common multiple of g and i.
88
Let y = 92319/594160 - 432/1061. Calculate the common denominator of 75/32 and y.
1120
Let d(g) = 3*g**3 + 11*g**2 - 4*g - 21. Let v be d(12). Let h = -80335/12 + v. Let i = 2357/198 + -74/9. Calculate the common denominator of i and h.
132
Suppose -9 - 13 = -4*k - 2*g, 5*k - 2*g - 14 = 0. Suppose 0 = -0*r - 2*r. Find the common denominator of (-1)/3 - ((-77)/(-6) - k) and r.
6
What is the common denominator of ((-174)/120)/((-20)/15 - -3) and -31/5?
100
Let g be ((-15)/(-2))/(-1)*28/(-42). Suppose g*i + 10 = -d + 10*i, -5*d = 3*i - 62. Calculate the lowest common multiple