21
What is the lowest common multiple of 25 and ((-2)/(-4))/((-43)/(-1118))?
325
Let a = -4 - -8. Suppose -8 = a*k - 3*c, 2*k = -3*k + 2*c - 10. What is the least common multiple of (-3)/(3/k) - -2 and 11?
44
Let c be (-3*268/(-6))/(4 + -3). Calculate the common denominator of (c/(-96))/((-9)/18) and -29/15.
120
Let d be 1/(400/(-132) - -3). Let w = d + 53. Suppose b + o = 45, 5*b + o - 5*o = 252. Calculate the least common multiple of w and b.
240
Let a = -424 - -2144/5. Let t = 6205 + -49559/8. What is the common denominator of t and a?
40
Let x = -11506873 - -7272341363/632. Let f = 30/79 + x. What is the common denominator of f and 103/26?
104
Let a(s) = s**3 + 11*s**2 - 14*s - 18. Let k(r) = -5*r + 8. Let u be k(4). What is the lowest common multiple of a(u) and 10?
30
Let z be 82/(-6) - 2/6. Let r = 26/23 + -1/184. Find the common denominator of (-1)/(-2) - (-79)/z and r.
56
Let u = 3439/2340 - -1/390. Calculate the common denominator of u and -25/12.
36
Let w(v) be the third derivative of v**4/4 - v**3/3 + 5*v**2. What is the least common multiple of 5/((1 - 2)/(-1)) and w(2)?
10
Suppose -3*r - 7 = -103. Calculate the least common multiple of r and 32.
32
Suppose -8*b - 132 = -12*b. Suppose -5*g + 30 + 0 = 0. What is the smallest common multiple of b and g?
66
Let v(t) = t**2 + 6*t - 4. Let y be v(-10). What is the common denominator of -107/20 and ((-5)/((-5)/17))/(y/(-14))?
180
Let z(o) = o**2 - 4*o + 5. Let m be z(2). What is the common denominator of 57/2 and (-408)/(-900) - (m - (-14)/(-12))?
50
Let m(k) be the second derivative of k**5/20 + 3*k**4/4 + 7*k**2/2 + 4*k. Let c be m(-9). What is the smallest common multiple of 18 and (c - 1)/(0 + 1)?
18
Let f be 4 + (4 - 6)*1/(-2). Suppose -f*d + d = -2*b + 28, 0 = -2*b - 5*d - 8. Calculate the lowest common multiple of (-12)/(-7) + 2/7 and b.
6
Let g = 15 + 38. Calculate the common denominator of (-1*(-1)/(-6))/(50/(-735)) and g/(-5)*5/(-2).
20
What is the smallest common multiple of 10 and 2*(-2)/7*(-1071)/102?
30
Let j be ((-177363)/(-990))/(2/(-35)). Let m = j - -12525/4. Find the common denominator of m and (-9)/6*142/36.
132
Let b = 119 + -118. Find the common denominator of ((89/b)/(-1))/(1798/(-29)) and -3/16.
496
Let c(v) = 5*v + 149. Let u = 24 + -17. Let j = u + -4. Calculate the least common multiple of j and c(-29).
12
Let g = -221017483250183/30688062718530 - 683508/56174995. Let q = g - 2/39021. Calculate the common denominator of q and (182/4)/(4/(-2)).
28
Suppose -3*g - g + 144 = 0. Let j = -16803 - -302579/18. What is the common denominator of j and 2/(-3) + 327/g?
36
Find the common denominator of 95/24 and (92 + -3)/(37 + -15).
264
Suppose 4*a - 2*a - 2 = 0, -5*a + 5 = 5*u. Suppose 2*x + 4 + 11 = 5*r, -2*r - 5*x + 6 = u. Calculate the smallest common multiple of r and 67.
201
Suppose 0 = -11*b + 2521 + 5663. Let v = b - 2260/3. Find the common denominator of 33/10 and v.
30
Let k = 74 + -89. Let r = k - -33. What is the least common multiple of 3 and r?
18
Let p = 7 - 10. Let x(l) = -l**3 + l**2 + l + 12. What is the lowest common multiple of x(0) and (p + 0)*22/(-3)?
132
Suppose -9*d + 10928 = -7*d. Let m = d + -65617/12. Find the common denominator of (3/24)/(1/(-87)) and m.
24
Let s(t) = -21*t - 1. Let y be (-1)/(-5) + (-48)/15 + 0. Let b(r) = -r + 17. What is the smallest common multiple of b(y) and s(-1)?
20
Let o = -27751/798 - -606/19. What is the common denominator of o and -67/9?
126
Suppose 0 = 4*i - 72 - 52. Let b = 32 - i. Calculate the smallest common multiple of b and 18.
18
Let m be ((-8)/(-35))/(2/2745). Let k = m + -313. What is the common denominator of -77/16 and k?
112
Let a(n) = -2*n - 27. Let h be a(-22). Suppose -r + h - 5 = 0. Calculate the least common multiple of r and 2.
12
Let x = -2712451157 - -32044897991891/11814. Let c = x - 1/5907. Find the common denominator of ((-207)/14)/(-3) - 0 and c.
154
Let n = -84 + 129. What is the common denominator of ((-3)/1 + 4)/((-4)/(-25)) and (-80)/n + (-2)/2?
36
Let f = -1701 + 3183. Let n be 13715/f - (-3 - 0). Let c = n - 8/19. What is the common denominator of c and 65/4?
12
Let v = 650385 + -10902403749/16763. Let r = v - -2128775/352023. Let m = r + -26/7. What is the common denominator of m and 35/4?
12
Let s = 26 - 17. Suppose 0 = 2*q + 2*u - 8, 69*u = 66*u + 3. What is the least common multiple of s and q?
9
Calculate the smallest common multiple of 774/18 - (1 - -2) and 32.
160
Let w = -25 - -41. Suppose 2*r + w - 64 = 0. Suppose h + 5*d = -9, -9 = h - d + r. What is the common denominator of h and 41/2?
2
Let u be 3/(-3) - (3 - 4). Suppose 2*d = -2*f + 6*f + 1388, u = -3*d - 6. Calculate the common denominator of (-2)/(-72)*f/8 and -43/16.
48
Suppose 0 = -21*b + 105 + 105. Let q(v) = -v**3 - v**2 + 2*v. Let d be q(2). Let a = d + 16. What is the lowest common multiple of a and b?
40
Let q = -4/449 - -5099/17960. Let b = q + 79/40. Calculate the common denominator of 85/8 and b.
8
Suppose 7 = 4*y - 9. Suppose j = f - 18, y*f + 15 = -4*j + 87. Calculate the lowest common multiple of f and 6.
18
Let w = -30 + 20. Find the common denominator of ((-2)/w)/(12/(-610)) and -47/3.
6
Suppose c + 2*l = 2, -3*c + 2*l - 2 = 4*l. Let b be 0 + (-6)/(2/c). Calculate the common denominator of (-19)/3 + (-18)/b and 19/10.
30
Let u(v) = -2*v**2 + 12*v**2 + 15*v**3 - 8 + 8*v**3 - 22*v**3 + 7*v. Calculate the least common multiple of u(-8) and 20.
320
Let m(f) = -f**3 - 3*f**2 - 2*f + 1. Let l be m(-2). Let d = -83 + 50. What is the common denominator of l/d*21/(-2) and -41/16?
176
Let m = -3190717/674 - -4734. Let k = m + -13815/1348. Find the common denominator of -19/10 and k.
20
Let r = 157 + -129. Calculate the lowest common multiple of r and 2.
28
Let j = 65579/6012 + 13/1503. Let o = 161439/27874 - 12/1991. Calculate the common denominator of j and o.
84
Let d be ((-14)/20)/(1/3517). Suppose 36*w - 23*w - 32058 = 0. Let p = d + w. Find the common denominator of p and -127/36.
180
Let n be (-116945)/224450*19 - -3. Let d = -2/4489 + n. Calculate the common denominator of 11/20 and d.
20
Suppose -5*f - 7860 = -4*a, 2*a - f = 3*f + 3930. Calculate the common denominator of -143/6 and (12/240)/(18/a).
24
Suppose -2*m + 24*o - 26*o + 106 = 0, 3*o = 2*m - 81. What is the least common multiple of m and 324?
1296
Let f = 57938 + -3476429/60. Find the common denominator of 137/60 and f.
60
Let y = -383/14 + 11363/378. Find the common denominator of y and -7/87.
783
Suppose 89 = 2*g - 0*g + m, 0 = 3*g - 3*m - 111. Calculate the least common multiple of 77 and g.
462
Let b = 693 - 417. Calculate the least common multiple of b and 21.
1932
Let t(j) = 1285*j - 9. Let v be t(-7). Let z = 53893/6 + v. Let q = 16/15 - 206/165. What is the common denominator of q and z?
66
Let v be (-1 - -1)/(4/(-2)). Suppose v = -11*w + 6*w + 30. Calculate the lowest common multiple of w and 12.
12
Suppose -9*b = -3*f - 5*b + 876, 3*f + 4*b - 852 = 0. What is the least common multiple of 33 and f?
3168
Let q = -10 - -12. What is the common denominator of (45/(-40))/((-15)/28) and q/10 - 209/(-30)?
30
Let r = -8/1989 - -157291/39780. Calculate the common denominator of 97/16 and r.
80
Let q = -9 + 13. Suppose -1 = 3*u + j - 12, 0 = 4*j + q. Suppose -17 = -5*l + 2*n - 5*n, 3*l + 5*n = 7. What is the lowest common multiple of u and l?
4
What is the common denominator of (-7 + 83/12)/(2/236) and -53/9?
18
What is the common denominator of 70/(-55)*-1*(-35)/14 and 52/27?
297
Let i be 0/1 + 2 - 9288/(-96). Let n = -877/8 + i. Find the common denominator of 3/11 and n.
88
What is the least common multiple of ((-6)/8)/(474/(-44240)) and 30?
210
Let v = -22742264/63 + 3263744/9. Let p = v - 4946/3. Find the common denominator of p and 37/33.
231
Let b(s) = s**2 - 24*s + 7. What is the least common multiple of b(24) and 4?
28
Let f be (-3)/(-258)*6/(-28). Let d be (-7)/(-21) + 92798/36120. Let z = f + d. Calculate the common denominator of 55/8 and z.
40
Suppose 13*k - 73 = 356. Suppose 0 = 25*h - k*h + 56. Let n = 20 - 13. Calculate the lowest common multiple of h and n.
7
Let u = -1004879/24 - -41864. What is the common denominator of u and -28/33?
264
Let i = 641 - 551. What is the least common multiple of 80 and i?
720
Find the common de