est common multiple of 1/(-1 + 3 - 1) and 2/(-46) + 216/207.
1
Suppose -4*l - 3*l = -42. Let m = 75 - 75. What is the smallest common multiple of l and (9/3 - 1) + (19 - m)?
42
Let q be (3/(-6))/((-5)/((-167975)/20)). Let v = 841 + q. What is the common denominator of -77/8 and v?
8
Let c be 136/210 - (1 - 0). Let b be 88/120 + (-8)/10. Let p = c - b. What is the common denominator of p and 39/2?
14
What is the smallest common multiple of 108/(-180) + (-4 - 4666/(-10)) and 525?
11550
Suppose s = 3*s - 4*t, 4*t = 4*s + 12. Let n be (1/9 - 346125/(-5967)) + 2/(-17). Find the common denominator of (n/7)/(s/14) and 35/27.
27
Let k(z) = z**3 - 5*z**2 + 11*z - 64. Let n be k(6). Suppose -23*v - 540 = -n*v. What is the smallest common multiple of 3 and v?
36
Let p = 115228449/20 + -5759445. Let v(k) = 247*k**3 - 2*k**2 + 2*k + 10. Let h be v(-2). Let u = h + p. What is the common denominator of u and 89/8?
40
Calculate the common denominator of -113/220 and 82/(7288160/120)*29*1.
22220
Suppose 61*s + 31*s = -9160 + 41176. What is the least common multiple of s and 60?
1740
Let s be (4 + -1)/(-6) + 1080 + -5. Let f = -17103/16 + s. What is the common denominator of f and 61/32?
32
Let k(o) = o - 7. Let a(d) = -4*d**3 - 5*d**2 + 2*d - 5. Let g be a(-3). Let l = g + -44. What is the lowest common multiple of 29 and k(l)?
29
Let c = 1702743818163/4796 + -355034169. Let s be ((-672)/327 + 2)*(-7)/(-231). Let a = c - s. Find the common denominator of a and 1/2.
4
Let s = -51 - -24. Let g = s - -26. Let r(a) = a**2 - 2*a - 1. What is the lowest common multiple of 11 and r(g)?
22
Let c = -14993 - -15011. Calculate the least common multiple of c and 200.
1800
Let k = -8695863/104 - -83615. Find the common denominator of k and -25/91.
728
Suppose 5 = -k + 25. Calculate the lowest common multiple of k and (-2 + 1)/((-16)/80).
20
Suppose 3*m - 11 = 4*g + 8, 8 = 4*g. Calculate the smallest common multiple of m and 3/((-9)/(-16)) + 6/9.
18
Let j = -2166 - -485. Let i = 44317973/22 - 2012773. Let x = j + i. Find the common denominator of x and 41/10.
110
Suppose 4 = a - 1. Let i(s) be the third derivative of -s**4/24 + 7*s**3/6 - 2*s**2 + 2111*s. Calculate the lowest common multiple of 14 and i(a).
14
Let z = -40483 - -1821808/45. Find the common denominator of (33/12)/(7 - 231/28) and z.
45
Let h = -5253 - -7722. Let f = h - 1387. Calculate the least common multiple of 10 and f.
5410
Let z be (32438325/(-12))/(42/8). Let m = -517684 - z. Let p = -2793 - m. What is the common denominator of -38/33 and p?
231
Let t(d) = d**2 + d - 6. Let l be t(-3). What is the common denominator of 2 + l - (-68)/10 and -1 + 6/(-2) - 1704/(-72)?
15
Suppose 0 = -2*c - 5*k + 126 + 131, -133 = -c + 2*k. What is the least common multiple of 30 and c/9 + 19/((-1026)/(-24))?
30
Let g(z) = 18*z - 6. Let c be (-4 - 3)*(-24)/28. What is the lowest common multiple of g(c) and 10?
510
Let o(q) = -q**3 + 7*q**2 - 65*q + 186. Calculate the lowest common multiple of o(3) and (-3 - (-9)/2)*20.
270
Let x be -2 + 0/7 - (7 + -1). Calculate the smallest common multiple of 30 and x/(-3) - 420/(-45).
60
Suppose 20*f - 16*f - 1320 = 0. Let t(x) = 7*x - 9*x**2 - 2*x**2 - f + x**2 + x**3 + 351. What is the lowest common multiple of t(9) and 20?
60
Suppose 0*v = -v + 12. Let z = 7092119 + -113424523/16. Let s = z - 3080. Find the common denominator of v and s.
16
What is the smallest common multiple of (-2*2 - (-65)/20)/((-11)/8448) and 1728?
1728
Let i(a) = 11*a - 9. Let u be i(4). Let q be 95/u - 8/(-28). Suppose -p + 4*p = -2*r + q, 5*p - 2 = -3*r. What is the smallest common multiple of r and 12?
36
Let h be 69/8*(-45)/(-2430). Let c = 1717/144 + h. What is the common denominator of -13/171 and c?
684
Let h = -1/4 + -9/4. Let t = h + -24. Let l = -127/6 - t. Find the common denominator of -73/9 and l.
9
Let t = 8674 - 8525. Calculate the lowest common multiple of t and 251.
37399
Suppose 0 = 6*n - 201 - 57. Suppose -n = -5*m + 77. Calculate the smallest common multiple of 2 and m.
24
Let n be ((-14)/70 - (-8)/(-10)) + 4. What is the common denominator of 0 + n*(-74)/18 and -2/5?
15
Let v = -81917/4089 - -954/47. Find the common denominator of v and -35/459.
13311
Suppose -4*p = -4086 + 90. Calculate the lowest common multiple of p and 18.
1998
Let w = 4/3581 + 426115/21486. Suppose 4*k + 222 = 2*i + 3*i, 2*i + k - 94 = 0. Calculate the common denominator of w and (i/(-30))/(26/(-65)).
6
Let u be 0 - 25/(8 + -3). Let l be 2 - 2 - (-9 + 3 + u). Suppose 18*t - 273 = l*t. Calculate the least common multiple of t and 30.
390
Suppose -10*l = -10 - 2230. Let r = l - 181. Find the common denominator of 17/7 and r.
7
Let y(v) = v - 15. Let b be y(10). What is the least common multiple of (b - -20) + -11 - -1*1 and 55?
55
Let d(c) = 5*c + 42. Let i(n) = -11*n - 83. Let t(f) = 5*d(f) + 2*i(f). Let b be (-34 - -32)/(6/39). What is the lowest common multiple of t(b) and 41?
205
Let m(s) = -2*s**2 + 11*s - 4. Let a be m(5). Let o be (-9)/(-9)*(8 + a). Suppose 6 = o*f - 129. Calculate the smallest common multiple of 9 and f.
45
Let q(c) = c**3 + 4*c**2 - 14*c + 8. Let z be q(-6). Let s be 4/z*0 - (34 + -1). Let i = s + 36. What is the least common multiple of 2 and i?
6
Let f = 3921944851631368651/465969298623355860 - -12/1524509241305. Let z = f - 2/25471. What is the common denominator of z and -85/4?
12
Suppose 0 = -p - 35*i + 30*i + 2132, -5*p = -4*i - 10863. Calculate the smallest common multiple of p and 788.
8668
Let l = 5769 + -449993/78. Calculate the common denominator of l and -95/273.
546
What is the common denominator of (224/33)/8*(-60)/(-14) and -38/569?
6259
Let q(m) = -3*m**2 + 7*m + 35. Let r(l) = 4*l**2 - 6*l - 36. Let s(a) = 6*q(a) + 5*r(a). Calculate the least common multiple of 2 and s(-4).
14
Let u be -21 - (-2 - -5) - -3. Let v = u - -16. Let i(r) = -r**3 - 6*r**2 - 7*r - 4. Calculate the smallest common multiple of i(v) and 11.
66
Let l = 1235 + -9943/8. Let r = 8662903/132 - 65631. Let a = 1/33 + r. Calculate the common denominator of l and a.
24
Let y = -150 - -187. Suppose -1 + y = 6*p. Calculate the least common multiple of p and 7.
42
Suppose -27488 + 139223 = 117*c. Calculate the lowest common multiple of 15 and c.
2865
Let p = 4944 + -4930. Calculate the least common multiple of p and 204.
1428
Suppose -555*u - 98072 = -601*u. What is the least common multiple of 91 and u?
14924
What is the common denominator of -5 + 6 + (-121)/72 and (-5033)/420 - -17 - (2 + 24/(-10))?
72
Let u(a) = -4*a**3 - 46*a**2 + 39*a + 25. What is the lowest common multiple of 196 and u(-13)?
3724
Let n be (-117 + 3)/((-6)/3*1). Suppose -n*x + 60*x = 6. Suppose -4 = -w - 4*q - 2, 62 = 4*w - x*q. Calculate the lowest common multiple of w and 160.
1120
Let g = 177 + -2125/12. Let j = -103 - -97. Calculate the common denominator of g and 398/(-40) - -3*(-8)/j.
60
Let x = -1632663 + 27766940/17. Suppose 28*i + 2*i = 20550. Let v = x - i. Find the common denominator of v and -11.
17
Let p(h) = -135*h**2 - 13*h - 15. Let x be p(-1). Let w = x + 1097/8. What is the common denominator of w and 91/36?
72
Let k be (804/(-66) - -12) + (-4)/(-22). Suppose 26*a - 1839 + 383 = k. Calculate the smallest common multiple of 32 and a.
224
What is the common denominator of 3/(30/4)*-2 + 95485/158200 and 10/147?
1176
Find the common denominator of 27/1360 and 9/(4590/(-4395)) + (-24)/(-6 + 3).
1360
Let v = 129 - 107. Suppose n - 35 = -5*m + 6*n, 4*m - n = v. Calculate the smallest common multiple of 15 and m.
15
Let u(y) = -y**3 + 7*y**2 + 26*y - 33. What is the smallest common multiple of 33 and u(5)?
1617
Let q(p) = p**2 - 3*p - 4. Let v be q(4). Suppose x + 3 - 1 = v. Let g = x - -14. What is the least common multiple of 27 and g?
108
What is the common denominator of 44/1935 and (544/476)/(66/(-119))?
21285
Suppose 0 = -3*b - 11*b + 210. Suppose -18*c + y + b = -17*c, 2*c - 33 = -y. What is the lowest common multiple of 6 and c?
48
Suppose -6 + 6 = b. Suppose -12*w + 11*w + 12049 = b. Let f = 614549/51 - w. Calculate the common denominator of f and 3/8.
408
Calculate the smallest common multiple of (-14)/(-168) + (-28315)/(-60) and 6.
1416
Let h be (0 - 2 - -1)*(-1 + 33). What is the least common multiple of (h/7 + 2)/((-3