90. What is the least common multiple of 8 and r/(-45) + (-10)/(-75) + -1?
24
Suppose -13*m - 14*m + 1080 = 0. What is the lowest common multiple of 40 and m?
40
Let n = 1457 + -1149. What is the lowest common multiple of 63 and n?
2772
Let g(p) = -p**3 + 9*p**2 + 22*p - 48. What is the least common multiple of 44 and g(8)?
2112
Suppose 4*k - s = 335, -9*k + s + 419 = -4*k. Calculate the lowest common multiple of 12 and k.
84
Let r(h) = -2*h - 55. Let x be r(-36). Suppose m - 3*m - 22 = 0. Let d = m + x. What is the lowest common multiple of d and 6?
6
Let d be 1/(-5) + (-317757)/(-360) + -3. Let z = -879 + d. Find the common denominator of -99/8 and z.
24
Let g be ((-2)/(-24))/(-6 - 4904683/(-817444)). Let o = 3586 - g. What is the common denominator of 13/9 and o?
171
What is the common denominator of -71/9 and 4/(-264)*80 - (1 + -2)?
99
What is the common denominator of (-2)/(-8) - 627/(-36) and 1 + (-452)/154 + (-429)/1001?
33
Suppose 0 = -4*u + 2*u + 4. Suppose 257 = 29*z - 265. Calculate the least common multiple of u and z.
18
Let n = -37793 + 753099/20. Let g = 688/5 + n. What is the common denominator of 97/10 and g?
20
Let q(n) be the first derivative of 14*n**3/3 - 36. Suppose -3*x - 5*p = 7, 9*x = 4*x - 5*p - 5. Calculate the least common multiple of 18 and q(x).
126
Suppose -2*u + 2102 = -2*d, -4*d + 7*d + 4*u + 3188 = 0. Let o be ((-18)/8)/(2/d). Let b = o + -7091/6. Find the common denominator of -24/7 and b.
42
Let f = -568724995/104 + 5468577. Let z = f - 810/13. Calculate the common denominator of z and 83/2.
8
What is the least common multiple of 412 and (-88)/(-66)*(-18)/(-4)?
1236
Let v(f) = -6*f - 8. Suppose 3*a - 19 - 17 = 0. Let n be v(a). Calculate the common denominator of -87/22 and 9*(0 + 28/n).
220
Suppose 5*w = -3*v - 98 + 1951, -4*w + 1479 = -v. What is the smallest common multiple of w and 22?
4070
Let b = 4711 - 113141/24. Let w = 9/2290 + 60063/12595. What is the common denominator of b and w?
264
Let w be 5269/(-280) + (-80)/(-100). Let t = 191/14 + w. Calculate the common denominator of 21 and t.
8
What is the common denominator of (155/4123)/((-3)/(-12)) and -13/70?
1330
Let t(s) be the second derivative of s**4/6 - s**3/6 - 12*s. Suppose 2*j = -0*k + 4*k + 18, 2*k - 5*j = -29. What is the lowest common multiple of t(k) and 4?
20
Let l = -4272419497/1283510 + -24/128351. Let i = -3334 - l. Let k = -2858 + 22957/8. Calculate the common denominator of i and k.
40
Let z = 23391444979/1448152626 + 1/5815874. Let c = 15/83 + z. Find the common denominator of (-24)/(-5)*3/12 and c.
15
Suppose -g - 2*p = 6, g - p = -0*g + 3. Find the common denominator of -29/10 and 2/(-4) + g + 564/48.
20
Let r(t) = t**2 + 6*t - 4. Let i be r(-9). Let l = i - 20. What is the lowest common multiple of 4 and l?
12
Suppose 8*m + m = 0. Suppose 31 = z + 3*g, -5*z - 3*g + 95 = -m*z. What is the lowest common multiple of 30 and z?
240
Let p = -35 - 0. Find the common denominator of -97/42 and (46 + 0)/((-252)/p).
126
Let h(b) = 3*b + 4. Let x = -5 + 9. Suppose 14 = -v + x*j, -5*v + 6 = -j - 19. What is the lowest common multiple of 18 and h(v)?
198
Let b be (9/15 + -1)*-45. Let p = b + -15. Suppose 4*d + h - 35 = 0, -h - 12 = -3*d + p*h. What is the lowest common multiple of 4 and d?
8
Find the common denominator of 161/180 and -1*((-3196)/1275 - (-2)/3).
900
Let z = -2 + 4. What is the common denominator of 15/(-1100)*-24 + (-8)/(-20) and 38/8 - z/(-1)?
44
Let q = -1/326 + -8797/1630. Let d be (-18)/(1*45/12). Let b = d - q. What is the common denominator of b and 87/4?
20
Let z be (-4)/(-3) - (-27)/(-81). What is the common denominator of (-13 + 0)*z/8 and (-62)/(-20)*5/8?
16
Let s(k) = 2*k**3 - k**2 - 4*k + 12. Let c be s(-5). Find the common denominator of 7/16 and 0 - (c/(-30) + -2).
80
Let w(l) = -l**3 - 4*l**2 + 8*l - 2. Let n be w(-7). Suppose 4*k + n = -51. What is the common denominator of 51/4 + 2/8 and k?
1
Let s(h) = -h**2 - 12*h - 4. Let z(x) = -2*x - 22. Let i be z(-6). Calculate the lowest common multiple of 8 and s(i).
16
Suppose -6*k = -8*k + 40. Let u(h) = 9*h**2 - 1. Let w be (-12)/((-9)/3) - 3. Calculate the least common multiple of k and u(w).
40
Let t(l) = -20*l**3 + l**2 - 6*l - 7. What is the least common multiple of t(-1) and 535?
2140
Let t = -34662 - -6100493/176. Find the common denominator of t and 1/44.
176
Let q(d) = -11*d - 34. Calculate the lowest common multiple of 16 and q(-8).
432
Let q = -5927/310 - -230/31. Let m = -9115 + 665363/73. Let l = 2693/1314 + m. What is the common denominator of q and l?
90
Let z be 1230/81*(-12)/10. Let a be (-220)/12 + 10/105*7. Let y = z - a. Find the common denominator of y and -49/3.
9
Let w = 15547/6 - 2596. Find the common denominator of (1/((-4)/(-55)))/(-2) and w.
24
Let z = 613 - 611. What is the smallest common multiple of z and 88?
88
Let v = -34481/1794 - -16/299. Calculate the common denominator of v and -26.
6
Let i be -38 + (1 + -1)/2. Let z be -5 - -201*(-6)/(-18)*1. Let q = z + i. What is the least common multiple of q and 2?
24
Calculate the common denominator of 3/(-3)*(-118)/4 and ((-39)/(-442))/(30/(-280)).
34
Let q(z) = z - 5. Let m = 3 + 4. Let n be q(m). Suppose -g = -n*i - i - 14, -g + 10 = i. What is the least common multiple of g and 9?
99
Let i be -4 + 40/(16/4). Suppose 0 = 2*y - i*y + 80. What is the smallest common multiple of y and 2?
20
Suppose 23*j - 2919 = 1014. Calculate the least common multiple of 27 and j.
513
Suppose 7*h = -3*h + 420. Calculate the least common multiple of 154 and h.
462
Let t = 108854/231 + -3288/7. Find the common denominator of t and -44/3.
33
Let a(p) = 35*p**2 + 40*p + 75. What is the lowest common multiple of a(-2) and 57?
2565
Suppose -80 = -213*g + 209*g. Calculate the smallest common multiple of g and 12.
60
Suppose -3*r = 4*f + 66 + 21, 2*r = 3*f - 41. Let z = r + 55. What is the least common multiple of z and 6?
30
Calculate the smallest common multiple of 51 and 0 + (-4485)/(-135) + 6/(-27).
561
Let x be 339 + 4/8*-10. Let j = -2605/8 + x. Calculate the common denominator of j and 31/9.
72
Suppose -180 = 11*p - p. Let u(s) = -335*s**2 + s + 1. Let w be u(-2). Let n = w - -3989/3. Find the common denominator of p and n.
3
Let n be 17*2*(4 + 7/(-2)). Suppose -x + n = 7. What is the least common multiple of x and 20?
20
Let v = 5657/8 - 705. Let h = -2/3745 - -123593/14980. Calculate the common denominator of v and h.
8
Suppose 4*u - 16 = 0, 3*u - 47 = -5*b - 0*u. Let r be (-2)/b + (-20)/28. Calculate the smallest common multiple of 6 and (-5)/(-1 - 1 - r).
30
Suppose 4*l - 7*l + 9 = 0. Suppose 9 - l = b. What is the least common multiple of b and 27?
54
Suppose -19 = -3*o + o - k, -4*o - 4*k = -44. Calculate the smallest common multiple of 26 and o.
104
Suppose -2*l = -0 - 4, -l = -2*o + 8. Suppose -o*q + q + 140 = 0. Suppose -3*a = 2*m - q, -a - a + 60 = 5*m. What is the smallest common multiple of 2 and m?
10
Let v = 5 + -1. Let m(y) = y**2 + 5*y + 2. Suppose -3*c + c + 2*f = 6, -5*f - 39 = 4*c. Calculate the lowest common multiple of v and m(c).
8
Let y = 1/212 - 345/106. Find the common denominator of (1 - (-35)/(-2))/(-57) and y.
76
Let v = 617 + -601. Calculate the lowest common multiple of 28 and v.
112
Let k = 248 - 233. What is the least common multiple of 21 and k?
105
Let l = 2211 - 30931/14. Suppose -k + 2*n - 3 = 2, -3*k + n - 25 = 0. Find the common denominator of l and (k/8)/(42/8).
14
Let h be -18*(-1)/((-2)/(-3)). Find the common denominator of (450/(-81) - 5)*3/2 and (-2)/9 - (-42)/h.
6
Suppose 75 = 3*i + 2*i. Let o = -5 - -14. What is the smallest common multiple of o and i?
45
Suppose -6*w - 27 + 135 = 0. Suppose 0 = -2*d + 6 - 2. Calculate the smallest common multiple of w and d.
18
Suppose 0 = 4*o + o + x + 73, 4*o = -3*x - 54. Calculate the least common multiple of o/90 - (-218)/12 and 9.
18
Let c be 4/1 + (-21761671)/4888104. Let l = -2/47001 - c. Calculate the common denominator of l and -13/14.
728
Let y(k) = -2*k**3 + 27*k**2 - 54*k + 1. Let t(x) = -x**2 + x - 1. Let d be t(1). What is the least common multiple of 23*(2 + d) - 1 and y(11)?
132
Let n be ((-433)/126)/(7/(21/(-5))). Let a = n + -77/15. Calculate the common denominator of -69/2 and a.
14
Let y(u) = u**2 - 3*u