-5993/1712. Calculate the common denominator of p and -1/116.
464
Let i(n) = -3*n**3 - 3*n**2. Let z be i(-2). Suppose 3*p - 5*p = -z. Suppose -10*w = 17*w - 38*w + 198. What is the smallest common multiple of p and w?
18
Let y = -14 - -46. What is the common denominator of (4/y)/((-40)/395) and -61/22?
704
Let y be 2 - -2 - 400/25. Calculate the least common multiple of 4/y + (-322)/(-21) and 45.
45
Let g be ((-272)/5784)/(41/(-96)). Let s = 644734251/98810 + g. Let y = s - 6520. Calculate the common denominator of -89/8 and y.
40
Let s(d) = 3*d**3 + 17*d**2 - 7*d + 1. Suppose 0 = -v - 3, -1 = w + 5*v + 10. Suppose g = -w*g + 45. Calculate the lowest common multiple of g and s(-6).
63
Suppose 0 = -2*i - 41 - 1. Let j = -268150/3 + 89358. Find the common denominator of j and i/(-6)*(-4)/(-22).
33
What is the common denominator of -113/550 and (112/7000)/((-88)/(-290))?
550
Let y = -6768 + 6811. Calculate the least common multiple of 84 and y.
3612
Suppose k - 3 = -2*k. Suppose -9*a + 112 = 5*a. Suppose a*l - 47 = 25. Calculate the least common multiple of l and k.
9
What is the common denominator of (-1030)/(-1653) + 1576/(-2364) and -47/290?
5510
Calculate the least common multiple of (20/(-24)*3)/(5/(-24)) and 310.
1860
Calculate the lowest common multiple of 297 and (-58212)/(-735)*(-20)/(-6).
2376
Suppose -n = 2*c - 42, -134 = 6*n - 9*n - 2*c. Let f = n + -38. What is the smallest common multiple of 14 and f/20*5 - -2?
28
Find the common denominator of -67/387 and ((-996)/36)/(-86*(-22)/(-4)).
4257
Let j(p) = 68*p - 1380 - 11*p + 3*p + 1388. Let m be j(-1). Calculate the common denominator of -4 - (-675)/m*4/(-12) and -17/5.
260
What is the lowest common multiple of -432*24/(-18) - -12 and 24?
1176
Let f(h) be the second derivative of -31*h**3/6 + 3*h**2/2 - h. Let v be f(1). Calculate the common denominator of (v/(-18))/(2/6) and -29/20.
60
Let j = 310 - 306. Calculate the least common multiple of j and 102.
204
Let l = 25 + -11. Suppose 10*r - 108 = 9*r. Calculate the least common multiple of r and l.
756
Let m be (5 - 4)*(2 - 0). Suppose -c + m*z - 124 = 4*c, -c = z + 22. Let i(n) = -n - 20. Calculate the least common multiple of i(c) and 26.
52
Let s be (-472)/(-5)*(-1615)/(-92582). Let n = 3/778 - s. Find the common denominator of n and -103/10.
70
Suppose -2*z - 3*z = i - 37, -3*z - 9 = -2*i. Calculate the smallest common multiple of (-3598)/126 + 19 + (-12)/27 - -55 and i.
180
Suppose -4*k + 4044 = 4*q, 5*k + q + 841 - 5916 = 0. Calculate the lowest common multiple of k and 8.
1016
Suppose -2398 = 4*f - 718. Find the common denominator of (-47)/5*((-290)/20 - -14) and (-7)/(f/99) + 1.
20
Find the common denominator of (-2)/2 - 91/(-18) and (-113)/(843/5 + ((-1197)/(-105) - 12)).
504
Suppose 81*r = 127*r - 68 - 208. What is the lowest common multiple of r and (-182 - -2)*(-3)/6?
90
Let t = 17529/1610 + 2/161. Let v = -41 - -89. What is the common denominator of (-2)/v*-3*(-130)/45 and t?
180
Suppose 2*f - 66 = 116. Suppose 4*g = 93 + f. What is the least common multiple of g and 20?
460
Let j be ((-13)/(-7))/(121/(-92)). Let q be ((-8)/(-6) - 0) + 2868/(-2178). Let c = j - q. What is the common denominator of c and 49/108?
756
Suppose -4*j - 457 + 469 = 0. Let k(y) = y + 6. Let l be k(0). Suppose l*g - 66 = j*g. Calculate the least common multiple of 90 and g.
990
Let l(v) = -6*v**3 - 8*v**2 - 8*v + 8. Calculate the least common multiple of l(-2) and 295.
2360
Suppose -3*v - 167 = -26. Suppose 0 = 7*b - 8*b - 1. Find the common denominator of v and 24/36 + b + 0.
3
Let w = 40614431/1971 - 20606. What is the common denominator of -47/12 and w?
7884
Let i(p) = p**3 + 3*p**2 - 2*p. Let k be (-6)/(-10) - (-336)/40. Suppose -n - 13 = -2*v + k, -3*n = -6. What is the smallest common multiple of i(-3) and v?
12
Suppose 7*c - 111 = 36. Suppose -3*l = 25*s - c*s - 475, 4*s - 16 = 0. What is the least common multiple of l and 7?
1071
Let h = 26177/666 - 1148/37. Calculate the common denominator of h and 364/6592*208/52.
3708
Let m be (-3)/6 - 18*3/(-12). Calculate the common denominator of ((-98)/(-24))/(45/(-30)) and 203/(-126) - 1*(m - 2).
18
Suppose -i + 23 = 3*s, 3*i - 37 = 4*s - 9*s. What is the common denominator of 137/78 and -23 + 21 + s/(-5)?
390
Let o(h) = -26*h + 1. Let z(c) = c**2 - 6*c + 10. Let n be z(4). Suppose -q = -5*x + 14, q = 3 - n. Calculate the smallest common multiple of o(-1) and x.
27
Find the common denominator of (-5)/(-3) + (214 - 215) - (-52)/84 and 1/3 - 262/(-24).
28
Let l = 600762424 + -57670942747/96. Let i = l + -23438. What is the common denominator of -4/33 and i?
1056
Suppose 2*w + 4*r + 5932 = 0, 2*w - r + 8975 = 3023. Let t = w - -35761/12. What is the common denominator of -23/2 and t?
12
Let w(u) = -u**3 - 4*u**2 + 5*u + 1. Let f be w(-5). Let p be ((-9)/(-8) + 0)*(-156)/f. Let v = 192 + p. Calculate the common denominator of -85/8 and v.
8
Suppose 0 = -3*a + 2*n - 111 + 132, 4*a + 4*n - 48 = 0. What is the lowest common multiple of (-12)/16 + 438/8 and a?
54
Let a(r) = -62*r + 1124. What is the smallest common multiple of a(17) and (-1)/(5/(-2) + 2)?
70
Find the common denominator of 43/426 and 4 + (-8533)/852 - (-6 + 8 + -8).
852
What is the common denominator of -83/75 and 6/315*1092/1755?
675
Calculate the lowest common multiple of 252 and 376*(-1 - 51/(-34)).
11844
Let y(x) = -6*x**2 - 10*x + 295. What is the lowest common multiple of y(0) and 177?
885
Let t = -5/12721 - 127175/89047. What is the common denominator of t and 39/160?
1120
Let i = 111583917399/88 - 1267977704. Let j = 21357 - i. Find the common denominator of j and -60/77.
616
Let y(m) be the first derivative of 2*m**2 + 110*m + 122. What is the smallest common multiple of y(-20) and 0 + 3/3 + 8?
90
Let a(q) = -6*q + 1. Let r be a(4). Let h be -9 + 2 - (6/(-5))/((-20)/200). Let i = h - r. Calculate the lowest common multiple of i and 18.
36
Let v = -14546 + 23880. Let u be (-5884781)/(-630) - 1/5. Let r = u - v. Calculate the common denominator of r and -143/18.
18
Suppose 0 = -5*l + 3*i + 65, 0*l - i - 35 = -3*l. Let n = 193 + -168. Calculate the least common multiple of l and n.
50
Let p be 6 - (15/5 + -2). Find the common denominator of (-6)/21 - (-2134)/(-420) and 2/p + 0 + 354/(-360).
60
Suppose -2*p = -10*p - 888. Let d = 309 + p. Find the common denominator of (14/(-119))/((-8)/d) and 1/18.
306
Let l = 629199/220 + -3027/44. Let q = l + -376477/135. Find the common denominator of q and 149/36.
108
Let m = -49216/3195 - -1100/71. Let a = -293/5 - -5999/90. What is the common denominator of m and a?
90
Let i be ((-9)/4)/9*-12. Calculate the common denominator of i + -4 + (-19)/(-10) and 11/16.
80
Let b(y) = -y**2 - 5*y - 4. Let t be b(-3). Suppose 4 = z + t*p, 3*z + 5*p - 6 = 5. Calculate the common denominator of z/11 - ((-5285)/(-330) - -4) and 63/2.
6
Let w be 3*1 - (-251 - (-88)/11). Let p = w + -234. Calculate the smallest common multiple of 216 and p.
216
Let x = 261597 + -547784135/2094. Calculate the common denominator of -103/20 and x.
20940
Let g(w) = -w**3 - 13*w**2 + 8*w - 47. Calculate the least common multiple of g(-14) and 6.
222
Let h(n) = n**3 + 8*n**2 + 6*n - 24. Let k be h(-6). Find the common denominator of 39/10 and (-2397)/(-476) - (-9)/k.
70
Let x = 1753/24 - 73. What is the common denominator of x and 5 + (1/6)/((-5)/(-990)*-28)?
168
What is the common denominator of -107/204 and (688 - 35)/(1 - 307) + 2?
612
Let i(m) = -m**3 + 11*m**2 - 15*m - 13. Let n be i(11). Let s = 180 + n. Calculate the least common multiple of s and 28.
28
Let h = -1125451/4129020 + 8/22939. Find the common denominator of h and -32/225.
900
Let l(y) = -y**2 + 11*y + 4. What is the smallest common multiple of l(9) and ((-2)/(-20)*-4)/((-84)/4620)?
22
Let u = 24 - 21. Suppose -5*i - p = -7 - 18, u*i - 4*p = -8. Suppose 0*b - 10 = -i*b + 2*d, 2*b + 4 = -2*d. Calculate the smallest common multiple of 8 and b.
8
What is the common denominator of -119/18 and ((-558)/(-16368))/(18/(-296))?
198
Suppose 5*l = x + 18, -4*x - 7 = 2*l - 1. Suppose -l*m + 4*m = 4*y - 27, 3*y + 126 = -3*m. Let a = m + 45. What is the lowest common multiple of 27 and a?
54
Suppose 0 = 13*k - 14*k + 31. Let f = k + -23. Suppose f = 4*d - 0. Calculate the lo