?
3135
Let x(h) = h**2 + 2*h - 6. Let o = 24 - 5. Suppose -5*z = 0, -4*m - 2*z - 13 - o = 0. What is the least common multiple of 33 and x(m)?
462
Let v(z) = -z**3 + 16*z**2 + 8*z - 64. Let d(t) = -t**3 - 4*t**2 - 4*t - 5. Calculate the least common multiple of v(16) and d(-5).
320
Suppose -3*t + 278 = -4*w, 2*w + 54 = t - 38. Suppose g + 2*r = 11, 0 = -0*g + 5*g - 3*r - t. Let o = 11 - 1. Calculate the smallest common multiple of o and g.
170
Suppose 5*d = 5*m + 7*d - 98, 4*m - 79 = -d. Suppose -13*p + m - 7 = 0. Suppose -6 = -2*r - 4. What is the smallest common multiple of r and p?
1
Let t = -24/16351 + 426727/12230548. Calculate the common denominator of -81/1156 and t.
12716
Let d(m) = -21*m**2 + 6*m - 14. Let f(t) = -7*t**2 + 2*t - 5. Let w(u) = 6*d(u) - 17*f(u). Find the common denominator of w(-1) and 3/4.
4
Let z = -21685/20028 + -1/1669. Suppose 4*h - 47 = -3*v + 67, -190 = -5*v - 4*h. What is the common denominator of v/30*(-14)/8*-10 and z?
12
Suppose 61*k + 3354 - 2441 = 8416. Calculate the lowest common multiple of k and 1107.
1107
Let n be (-1)/(-4) - (-354)/24. Let t be 2329/n + (-4)/(-10). Let c = t + -2941/18. What is the common denominator of c and 157/30?
90
Let u = 34 + -30. Suppose 4*m + 31 = -5*s + 91, u*s + 24 = 4*m. What is the lowest common multiple of 22 and m?
110
What is the common denominator of (-7 + (-2314)/572)*(-2)/(-24) and -45/968?
968
Suppose -28*a + 6*a + 42*a = 17460. Calculate the smallest common multiple of a and 1261.
11349
Let v = 342657/110 + -24747/10. Let f = v + -738553/1155. Find the common denominator of -139/6 and f.
210
Suppose 101198*w - 101187*w = 20394. What is the least common multiple of 2 and w?
1854
Suppose 17*c - 2*j = 20*c + 25, 0 = c - 5*j + 14. What is the lowest common multiple of ((-387)/45 - c)/(1/300) and 12?
120
Let n be 4/(-1) - (-7)/1. Let f = n + 1. Suppose 8*z - 20 - 76 = 0. What is the smallest common multiple of z and f?
12
Let w = 7958 + -7933. Calculate the smallest common multiple of 200 and w.
200
Suppose -4 = 2*p - 0. Let l = 4 + p. Let t = 4700 - 4673. What is the smallest common multiple of t and l?
54
Let u = -174227450309/60 - -2903855362. Let w = u - 64522. Calculate the common denominator of w and 63/40.
120
Let n = 6408 - 3848. Calculate the smallest common multiple of 8192 and n.
40960
Let b(p) = -5*p + 2. Calculate the smallest common multiple of b(-4) and 15*((-930)/45)/(-31).
110
Let s = -22/1407 + -2025/469. Find the common denominator of ((-142)/13)/(1*-6) and s.
39
Let h = 185456265/528836 - 142823/404. Let k = 29/119 + h. Find the common denominator of k and ((-1)/8)/((-4)/62).
176
Let g be (39085/(-15))/((-8)/6). Let b = g + -1968. Find the common denominator of b and -4 + 1 + (-63)/(-22).
44
Suppose 2*b + 1063*d - 1058*d = 2, 0 = -4*b + 4*d + 4. What is the common denominator of b and 46/8325?
8325
Suppose 4*u = 5*j + 34 + 19, 0 = -5*u + j + 61. Calculate the least common multiple of u and ((-6300)/(-24))/25*16/6.
84
Let f = -161 + 160. Find the common denominator of f*5*42/330 and 101/86.
946
Let q = 16644 - 2729599/164. Find the common denominator of 77/10 and q.
820
What is the common denominator of 161/43125*(-102)/8 and -24/125?
2500
Let d be (-5 + 65/(-1))/(0 - 2). Find the common denominator of 26/17 and 31*10/d*3/(-6).
119
Let g = -731 + 8031/11. Suppose 2*l + l + 4 = z, -4*z = 4*l. What is the common denominator of g and (z/9)/((3 + -4)/(-74))?
99
What is the common denominator of (5 + (-5424)/828)*9/42 and -61/230?
1610
What is the common denominator of 481/39 - (-1)/3 and 8/(-12) + 408/792?
33
Let v = 2932 + -6596. Let g be v/394 + 8/2. Let n = g - 1/1970. What is the common denominator of n and 27/2?
10
Let l(m) = -28 + 40*m - 4*m**3 - 6*m**3 + 23*m**2 + 11*m**3 - 6. What is the least common multiple of 16 and l(-21)?
16
Let j = 3065 - 2865. What is the lowest common multiple of 18 and j?
1800
Let x = 63 + -33. What is the least common multiple of x and (29 + -56)/(1*-3)?
90
Find the common denominator of -131/138 and (-526)/7084 + 18/63.
1518
Let m(y) = 2*y**2 - 13*y + 51. Suppose 9*i = -3*i. Suppose 4*n - 5*h = -i*h + 39, 0 = 3*n - h - 21. What is the smallest common multiple of 8 and m(n)?
360
Let n = 311 + -159. Suppose -157*j + 155*j = n. What is the common denominator of ((-60)/96)/(-2 - 149/j) and -87/14?
42
Let n(b) = b**3 - 19*b**2 + 16*b - 16. Let c be n(18). Find the common denominator of (183/(-180))/(13/c) and -59/35.
105
Let z(a) = -2*a**2 + 15*a + 7. Let r be z(8). What is the smallest common multiple of r*0/(-5) + 18 and 8?
72
Suppose -3*h + 6*h = 3, c = 5*h + 17. Suppose -c*b - 260 = -42*b. Calculate the least common multiple of 6 and b.
78
Let k = 1741903/766992 - 4/15979. Find the common denominator of 109/420 and k.
1680
Let g be (-4 + 7 + -1 + 1)/1. Suppose 0 = 5*t + g*p - 0 + 5, 0 = 4*t + 5*p - 9. Find the common denominator of t/10 + 552/405 and 53/3.
27
Let g(x) = 6*x - 57 + 2*x + 2*x + 6*x + 9*x. Calculate the smallest common multiple of 72 and g(3).
72
Let x = -71/55 + 13887/55. Let s be (-140*28/(-700))/((-1)/45). Let u = s + x. Find the common denominator of -23/14 and u.
70
What is the least common multiple of 630 and 197 + 52/(-56)*-14?
630
Let f = -354/49 - -25352/3577. Let y = -2973/146 + f. Let s(m) = -3*m + 13. What is the common denominator of y and s(-10)?
2
Suppose -2*t - 12 = -3*t. Let b = 53 - 51. Suppose -2*y = -b*w + w - 113, 5*w = 3*y - 159. Calculate the lowest common multiple of t and y.
348
Let r = -10/13529 + 147966833/216464. Let a = 678 - r. Find the common denominator of ((-6)/544)/(31/(-4092)) and a.
272
Let j(m) be the second derivative of m**4/6 + m**3/6 + 5*m**2/2 + 1274*m. Suppose -3*k + 2 - 11 = 0. What is the smallest common multiple of j(k) and 10?
20
Suppose 6*x + 4*x = 1190. Find the common denominator of 12/(-9) - x/98 - -6 and -34/49.
294
Find the common denominator of (-56)/(-12474)*18*(-26)/(-20) and -79/231.
3465
Let i = -665 + 199. Let v be (-6)/33 + i/(-22). Find the common denominator of -63/22 and 141/v*21/144.
528
Let q = -13041/6278 - -144/73. Calculate the common denominator of q and -87/602.
602
Let q(r) = 4*r**2 + 11*r + 11. Let f be q(-3). Suppose f*g - 13*g - 8 = 0. What is the lowest common multiple of g and 20?
40
Let s(k) = -15*k**3 + 2*k**2 - 9 + 10*k**3 - 2*k + 6*k**3. Let u be s(5). Calculate the common denominator of ((-6)/16)/(15/u) and 9/10.
10
Let s be 1/(-6) - 183*(-2661)/(-54). Find the common denominator of (s/(-120))/9 - 3 and -91/4.
20
Let r(h) = 11*h - 51. Let j be 1 + (-5 - -6) + 5. Calculate the lowest common multiple of r(j) and 14.
182
Let y = 14/3329 + -163793/159792. What is the common denominator of y and 89/112?
336
Let f = -17283/3260 - 122/163. Let d be (-818)/506 - (-16)/8. Let h = 13/23 - d. Calculate the common denominator of f and h.
220
Let g = -537 - -1000. Suppose p - 302 = -2*j + 6*p, -g = -3*j + 5*p. Calculate the common denominator of (25/(-35))/((-6)/j) and -83/10.
30
Let o = 4685 - 182704/39. What is the common denominator of ((-2)/10)/((-231)/(-935)) and o?
273
Let w be (33870243/825)/(32/10 - 2). Let k = -34217 + w. What is the common denominator of 68/35 and k?
210
Let w = 3774 + -2582. What is the least common multiple of w and 9?
10728
Let q = 15206/11 + -1354. Let i = q - 1585/33. Let y = 485/6 - 214/3. Find the common denominator of y and i.
6
Let z = 36307/2124 - 1256/59. Let y = -1097 + 2319. Let o = y - 4931/4. What is the common denominator of o and z?
36
Let p = -38272305718063463 - -357459546448445867675839/9339901. Let n = 2/217207 - p. Let q = -148941/1720 + n. Find the common denominator of 89/4 and q.
40
Let a = -1439/14 + 18082/175. Calculate the common denominator of 42/1375 and a.
2750
Let i be -2*365542/(-1020) - (-40)/340. Let w = 2137/3 - i. What is the common denominator of w and 76/3?
15
Let r be (-245)/(-21) - 1/(-3). Suppose -r*s + 14976 = -0*s. Calculate the common denominator of 14/91 + (-1466)/s and -17/36.
144
Let b be ((-198)/12)/((-5)/10). Suppose 2*c - q - b + 11 = 0, 0 = -5*c - 3*q + 44. Let u = -3 - -4. Calculate the least common multiple of u and c.
10
Let f(g) = g**2 - 3*g - 40. Suppose 30*n - 503 - 1387 = 0. Calculate the smallest common multiple of f(-6) and n.
126
Let n(l) = l**2 + 