 2/29379 + 2262151/470064. What is the common denominator of l and (1179/180 - -4) + -5?
80
Let u = 109 + -101. Suppose -11*b + 15 = -u*b. Calculate the smallest common multiple of 6 and b.
30
Suppose -11 - 121 = 4*s. Let j = 63 + s. What is the least common multiple of j and 9?
90
Let k = 4173 + -75157/18. Find the common denominator of 51/14 and k.
126
Suppose -5*p = -2*t + 3*t + 24490, -2*p - 3*t - 9783 = 0. Find the common denominator of (-2)/(-4) - (-38)/9 and p/(-322) + 4/14.
18
Let y be ((-5)/2)/((45/(-10))/(-9)). Let v = -6 + 6. What is the least common multiple of (-4 - y)*9 + v and 2?
18
Calculate the smallest common multiple of 4/(-6) + (-1)/((-15)/2815) and 153.
1683
Let o = -44 + 199. Let j = o + -834/5. What is the common denominator of -36/7 and j?
35
Let i = 7335 + -3567. Let k = -30209/8 + i. Calculate the common denominator of k and 2/5 + 86/(-15).
24
Suppose 3*h - 3*g + 2*g = 15590, 0 = h - 2*g - 5195. Let b = h - 62503/12. What is the common denominator of -11/6 and b?
12
Let n = -82/159 + -6923/1272. Calculate the common denominator of -23/36 and n.
72
Let f = -177 - -187. Calculate the lowest common multiple of f and 70.
70
Let s = -5 + 27. Suppose 79*o - 78*o - s = 0. What is the least common multiple of 66 and o?
66
Let v = 41647/26464 - 2/2481. What is the common denominator of v and 33/8?
96
Let j = 12 - 7. Let z(g) = j + 2*g**2 + 2*g - 4*g - 2*g**3 - 2*g + 3*g**3. Calculate the lowest common multiple of 5 and z(2).
65
Let x be 54/(-9)*(-2)/(-6). Let v be x - (-66 + -2)/4. Let z = v - 1. What is the smallest common multiple of z and 12?
84
Suppose q - 5*w + 15 = 0, 1 + 6 = 3*q - 2*w. Let v(t) = t - 2. What is the least common multiple of v(q) and 4?
12
Let y(s) = 593*s + 109. Calculate the lowest common multiple of 22 and y(1).
7722
Let x be (4/2 + 19)*-58. Let j be (-2441)/4*2 - 4/32. Let h = j - x. What is the common denominator of h and -28/3?
24
Let j be ((-3)/(-6))/((-1)/110). What is the common denominator of 1/(25/j) + 2 and 15?
5
Find the common denominator of -80/21 and (-23010)/(-7560) - (-8)/(-36).
84
What is the common denominator of (2/(-28))/(1400/520) and -5/2?
490
What is the common denominator of 678/459 + 1/(27/(-6)) and 29/8 - -3*(-3 + 2)?
408
Let x(m) = m**3 + 8*m**2 - 12*m - 3. What is the lowest common multiple of x(3) and 2?
60
Calculate the smallest common multiple of 48 and 66/(-55)*20/(-2).
48
Let z = -38641/75900 - -88/575. What is the common denominator of -109/18 and z?
396
Let l = -6/87671 - 39625294/29194443. Let s = -5/37 - l. What is the common denominator of (-3)/6 + 13/(-6) and s?
9
Suppose r - 43 = -4*f, -f + 5*r - 6 = -1. What is the least common multiple of f and 196?
980
Suppose 3 = a + 8. Let x = a - -4. What is the common denominator of 81/10 and 44 - x - 11/(-22)?
10
Find the common denominator of 87/(-12)*8/(-10) and 43/15.
15
Let r(m) = -64*m**3 + 3*m**2 - m + 2. Let b be r(2). Let s be 0 - 3/((-120)/19858). Let u = s + b. Calculate the common denominator of u and 39/14.
140
Suppose -s + w = -21, 13*s - 3*w = 15*s - 22. What is the smallest common multiple of 5 and s?
85
Let g = -2859586119/68 + 42063325. Let s = g + -10589. Calculate the common denominator of 67/12 and s.
204
Let r be ((-78)/36)/((-4)/2817). Let o = r - 4595/3. Find the common denominator of 71/18 and o.
72
Let k be 26/(3 + (-4 - -2)). Let j be (k/(-56))/((-1008)/(-98)). Let x = j - 99/32. Find the common denominator of -85/8 and x.
72
Let g be ((-56310)/168)/(1/(-2)). Let z be (-18978)/28 + 1 + 2/7. Let f = z + g. Calculate the common denominator of 15/2 and f.
14
Let d(o) = -7*o - 3. Let a be d(-1). What is the common denominator of -91/20 and (18/(-80))/(a/(-16))?
20
Let k = 4 - -2. Suppose -4*f + 52 = -4*m, -2*f - 2*m + k = -8. Suppose 4*i - 23 = -7. What is the least common multiple of i and f?
20
What is the common denominator of 3/21*(-555)/(-30) and (-2)/14*74/2?
14
Suppose -3*i = -10288 + 1333. Suppose 4*n - 5*n = i. Let b = 20861/7 + n. Find the common denominator of b and -5.
7
Let b(w) = 256*w + 16. What is the least common multiple of 33 and b(2)?
528
What is the common denominator of ((-2)/44)/(3/(-243)) and ((5/15)/(66/(-63)))/(-1)?
22
What is the common denominator of ((-6)/27 - 5808/(-540)) + -6 and -77/180?
180
Let k(f) = f**2 + 8*f + 16. Let x be k(-7). Calculate the common denominator of 17/24 and ((-15)/40)/(1/((-137)/x)).
24
Suppose 5*l + 28 = -42. Let x = l + 16. Calculate the lowest common multiple of x and 18.
18
Let l = -253 + 38. What is the common denominator of -64/9 and (-2)/(-9) + l/63?
63
Let x = 22 + -8. Let z be -1 + 6 - 2/2. Suppose -26 = -y - 5*c, z*y - 5*c - 6 = -2. Calculate the lowest common multiple of x and y.
42
Let x be ((0 + 39)/3)/((-1)/237). Let y = -12261/4 - x. What is the common denominator of -49/6 and y?
12
Let m(k) be the second derivative of k**3/3 + 6*k**2 - 6*k. Calculate the least common multiple of 20 and m(0).
60
Let p = 221 + -200. What is the least common multiple of p and 33?
231
Suppose s = -d - 6 + 4, -10 = s + 3*d. Suppose -c + 108 = 9*m - 4*m, 4 = -2*c. What is the least common multiple of m and s?
22
Let g = 871879033/22 - 39609495. Suppose -106866 = -5*f + 10*q - 9*q, -3*q - 42736 = -2*f. Let k = g - f. Find the common denominator of k and 25/16.
176
Suppose 5*c - 22 = 6*d, -4*c + d = -3*c - 5. Let q = -5 + 9. What is the lowest common multiple of 44/(q + -2) - 0 and c?
88
What is the common denominator of -22/129 and (-292)/24*2 + 1?
129
Suppose -15*t + 50 = -11*t - 2*s, -4*t + s = -45. Calculate the lowest common multiple of 11 and t.
110
Suppose 0 = 3*c - 17*c - 84. Find the common denominator of 292/77 - c*(-16)/(-168) and 63/8.
88
Let x = -1/49 + -2201/196. Let q(t) = -8*t - 4. What is the common denominator of x and q(-4)?
4
Let k(p) = p**3 - 7*p**2 + 2*p + 6. Let w be k(7). Let b(r) = r**2 - 7*r - 2. Calculate the least common multiple of (-8)/w - (-246)/15 and b(8).
48
Suppose 2*h = -8 + 16. What is the least common multiple of 27 and 30/(h + -2) + 0/(-2)?
135
What is the common denominator of 87/4 and 610/220 - (1 - -2 - 3)?
44
Suppose 1 = 2*i - 3*i. Calculate the common denominator of i - 1 - 109/(-10) and 4/11.
110
Let w = -227 - -231. Let f = 20 - 14. Calculate the lowest common multiple of f and w.
12
What is the common denominator of -85/21 and (-16)/((-6720)/(-1045)) - -1*2?
84
Let j(x) = -10*x**3 - x + 1. Let g be j(1). Let t = 3179/56 + -413/8. Calculate the common denominator of (g - 1)*6/(-10) and t.
35
Let h(m) = -m**2 - 5*m + 6. Let i be h(-7). Calculate the least common multiple of ((-20)/25)/(i/420) and 9.
126
Let i = 3941 + -35512/9. Calculate the common denominator of -75/214 and i.
1926
Let b be (60/100)/((-2)/(-10)). Suppose 0 = b*v + v - 8. Suppose -m - 4*i + 28 = 0, -4*m + i + 36 - 9 = 0. Calculate the least common multiple of m and v.
8
Suppose -2 + 41 = -13*h. What is the common denominator of 178/64 - (1 - 13)/h and 21/22?
352
Suppose 0 = -4*d - 5*m + 93, 0 = -d - 0*d + m + 30. Suppose -4*n - 4*v - 8 = -32, -4*n - 5*v + d = 0. Calculate the least common multiple of 18 and n.
18
Let u(n) be the first derivative of n**3/3 - n**2 - 5*n - 1. Suppose -11*k = -19*k - 24. What is the lowest common multiple of 2 and u(k)?
10
Let i = -1704 - -32380/19. What is the common denominator of 65/6 and i?
114
Calculate the common denominator of (-20850)/400*2/72 and 109/44.
1056
Let k = -4171/4 - -1025. Find the common denominator of 51/2 and k.
4
Let j(a) = 2*a**2 + a - 6. Let i be j(6). Suppose 4*n = -3*x + 62, -x + 2*x = -5*n + i. Calculate the least common multiple of 6 - -1 - (0 + 1) and n.
42
Find the common denominator of 6/(-10) - (-713)/1610 and 9/8.
280
What is the lowest common multiple of 18 and 426/10 - (148/(-20) - -8)?
126
Let o(q) = 2*q**3 + 15*q**2 - 10*q + 2. Let d be o(-8). Find the common denominator of (-3 + -1 + 2)/d*64 and 17/8.
72
Let v(p) = -7 - 3*p**3 - 3*p - 7*p**2 + 5*p**3 - p**3 + 3*p**2. What is the lowest common multiple of v(5) and 10 + (-1)/(2/(-2))?
33
Let t be (-217465)/(-78) + 2/(-3). Let b = t + -2787. Find the common denominator of b and 95/2.
26
Calculate the common denominator of 35/4 and (-7)/5 + (-3 - 27/(-8)).
40
Find the common denominator of -61/30 and 5 + ((-649)/(-33) - (-3)/