and 51?
255
Let s(p) = p**3 - 11*p**2 - 3. Let k be s(11). Suppose -3 - 9 = -2*u. Calculate the least common multiple of u and 5 + k - 8/(-4).
12
Let f = 662/21 + -11791/420. Calculate the common denominator of 7 + ((-246)/36 - -1) and f.
60
Let u(w) = 2*w**2 + 6*w - 14. Let k(c) = -3*c + 12. Let b be k(6). Calculate the lowest common multiple of u(b) and 6.
66
Suppose 4*p - 42 = -c, -4*c + 3*p = -110 + 37. Let h(g) = -g**3 + 2*g**2 - g + 60. Let v be (0 - 0)*(4 - 5). Calculate the least common multiple of h(v) and c.
660
Let h = 154 - 25. Calculate the common denominator of (-2)/9*h/4 and (3/(-36))/(8/(-1616)).
6
Let b(q) = 26*q + 72. Calculate the lowest common multiple of b(0) and 72.
72
Let z be (-10)/(-1) + 3*2/(-6). What is the smallest common multiple of 12 and z/18*(1 - -59)?
60
Let c be 4*4/16 + 725. Find the common denominator of 2 + 26/(-32)*-10 and (-6)/(-9)*c/80.
40
Let c(k) = 2*k - 7. Let i be c(6). Suppose -4*f + 8 = 0, -i*l - 3*f + f = -29. Calculate the least common multiple of l and 3.
15
Suppose 0 = 5*t + 9*t - 126. Calculate the smallest common multiple of 33 and t.
99
Let f(d) = 2*d - 44. Let j be f(21). Calculate the lowest common multiple of 4 and -6*(-1)/(-2) - (-14 - j).
36
Let x = 3847/2196 + -1/549. Calculate the common denominator of x and -3/94.
188
Let r = -9277 + 92679/10. Let y be (-136)/(-6)*(-75)/10. Calculate the common denominator of r and 1 + -3 + y/(-35).
70
Calculate the least common multiple of (-100)/(-8) - -3 - 2/4 and 27.
135
Let w = 27757 + -1443311/52. What is the common denominator of 99/2 and w?
52
Calculate the smallest common multiple of (-4)/(-12)*(21 - 0) and (-95)/(-40) - 6/16.
14
Suppose 111 = 4*r - 69. What is the least common multiple of 10 and r?
90
Suppose -n + 85 = n - 5*y, -y - 50 = -n. Suppose -7*v + 30 = -4*v. Calculate the smallest common multiple of 11/n - 9/(-5) and v.
10
Suppose -s - 8 = -1. Find the common denominator of 3/s*5 + -1 and -13/9.
63
Let k(f) = f**3 - 19*f**2 - 39*f - 9. What is the smallest common multiple of 12 and k(21)?
108
Let h(v) = -v**2 - 7*v - 7. Let q be 8/16 + 14/(-4). Let t be (3/(-6))/(q/(-24)). What is the lowest common multiple of 3 and h(t)?
15
Let q = 17/780 + 757/3120. What is the common denominator of 2 - (-7)/6 - 0 and q?
624
Let g = 4068 + -121967/30. What is the common denominator of g and (-3 + 183/63)*166/4?
210
What is the common denominator of -12/7 and (3 - (-446)/(-94))/2?
329
Let s = -16029032/2919 - -38440/7. Calculate the common denominator of s and -32/7.
2919
Let t(b) = 3*b**2 + 4*b - 3. Let q be t(2). Let j = q - 8. Let u = -219 + 224. What is the lowest common multiple of u and j?
45
Suppose -5*p + 20 = -2*p + 5*f, 4*p - 3*f + 12 = 0. Suppose p*n + 16 = 4*n. Let b = -970 + 980. What is the smallest common multiple of n and b?
20
Let r = -10 + 13. Let o be (r + -2)*33 + -4. Suppose -21 = -v + o. What is the common denominator of -50/11 and v?
11
Let v = 62457/14 - 4467. Find the common denominator of v and 0 + 0 + 170/(-100).
70
Let r(l) = -4*l**2 - 1 + 4*l**2 - 7*l + 13*l - l**2. Suppose -3*g + 6 = -3. What is the smallest common multiple of r(g) and 8?
8
Let m be 34/(-18)*9/21 + 2. Let k = 1163/42 - m. What is the common denominator of -44/13 and k?
26
Let q(d) = d**3 + 8*d**2 - 33*d + 22. Suppose 3*f - 3*w - 2*w - 29 = 0, 0 = -4*f + 5*w + 37. Calculate the smallest common multiple of f and q(-11).
88
Let t be (36/(-48))/(2/37384). Let i = -252415/18 - t. What is the common denominator of 65/18 and i?
18
Suppose 0 = c + 2*c - 12. Suppose -k + c*o + 25 = 0, 4*o - 2 = -22. What is the lowest common multiple of 2 and k?
10
Let h = -1/68250 - -1831397/1501500. Find the common denominator of 53/110 and h.
660
Find the common denominator of 53/9 and (-4)/(-16) - (1 + (-91)/24).
72
Suppose 0 = 4*r + 11 + 121. Let q = 23 - -12. Let y = r + q. Calculate the lowest common multiple of 5 and y.
10
Let q = 651 - 637. Calculate the lowest common multiple of 12 and q.
84
Let j(c) = c**2 - 2*c. Let p = 34 - 34. Suppose p = 2*l - 5*t + t - 10, -3*l + 6 = 3*t. What is the smallest common multiple of l and j(-2)?
24
Let j(o) = 4*o - 10. Suppose 0 = 6*a - 3*a - 9. What is the smallest common multiple of j(a) and 8?
8
Let o = -707 - -466. What is the common denominator of 3*(-8)/(-12) - o/(-30) and -77/24?
120
Let b = -1/534 + 15088/1335. Find the common denominator of b and 34/11.
110
Let q = -117124/165 - -7091/10. Calculate the common denominator of -17/20 and q.
660
Let o = 766/23 + -5903/276. Let c be 4/(-6) - (-1 + (-5150)/(-15)). Calculate the common denominator of o and ((-2)/70)/(42/c).
60
Let f be -157 + (2 - 1/(-1)). Let c = f - -54. Calculate the common denominator of -59/18 and -1 + (c/(-48) - 0).
36
Calculate the common denominator of -103/30 and 59/1416*904/6.
90
Let p = -33551/41340 - 7/1378. Find the common denominator of -43/80 and p.
240
Suppose -2*h = 3*h + 5. Let s = 1 - h. Find the common denominator of 143/6 and 12/(-16) + s/4.
12
Let j = -3211/258 - -55/43. What is the common denominator of j and -155/126?
126
What is the common denominator of (-87)/(-18) - ((-17)/(-4) + -5) and -11/6?
12
Let k(g) = 8*g - 4. Let o be k(-7). Let d = -48 - o. Calculate the least common multiple of d and 80.
240
Suppose 6*h - 4*h = 0. Let v = 11 + h. Suppose 0 = 49*u + 47*u - 135 - 441. Calculate the least common multiple of v and u.
66
Suppose -13 = -4*l + 3*l. Suppose 43*x - 16 = 39*x. What is the lowest common multiple of 22 and -4 - (12/x - l)?
66
Let h(g) be the first derivative of -g**2 + 5 + 0*g + 6*g + 20*g. What is the smallest common multiple of h(12) and 6?
6
Calculate the lowest common multiple of 70 and 6/9*(8/(-2) + 25).
70
Let a = 881182049/195 - 4518896. Let p = a + 2/65. Find the common denominator of 5/7 and p.
21
Let d = 53583 + -6429899/120. What is the common denominator of -101/90 and d?
360
Let a(y) = y**2 - 5*y + 8. What is the lowest common multiple of a(2) and 20?
20
Suppose 0*g - g + 221 = 3*t, 217 = 3*t + 5*g. Let p = t + -49. Calculate the common denominator of -41/8 and 1346/180 + (-5)/p.
72
Let q(j) = -j**3 - 7*j**2 - 5*j + 6. Let g be q(-6). Let m be (-1)/((-1)/1 - g). Find the common denominator of 97/6 and 3 + ((-194)/16)/m.
24
Let u(t) = t + 11. Let d be u(-9). Find the common denominator of 28 + (-1 - (-2 + d)) and -119/18.
18
Find the common denominator of (-50)/(-525) + (-563)/840 and 67/100.
200
Let i = -10/539 + 35275/12936. Let f = 1883/4 + -496. What is the common denominator of f and i?
24
Let x be ((-1)/13)/(2/(-30)). Let v = x - -331/130. Calculate the common denominator of v and (-15*6/(-270))/((-55)/(-77)).
30
Let s be 3 - 2*(-3)/(-6). Let u be s/(-7) - (-544)/(-56). What is the smallest common multiple of 12 and (u/(-3))/(1/6)?
60
Let l be 1 + 0 + (61 - 2). What is the common denominator of 2/l*(3 - (-182)/7) and 49/9?
90
Let b = 6088/2241 - 330/83. Let d be ((-3)/486)/(16/2778). Let u = d - b. Find the common denominator of u and 113/14.
112
Suppose -24*d + 4698 = 30*d. What is the smallest common multiple of d and 90?
2610
Suppose 0 = 5*u - 15, -5*r = -8*r + 2*u + 3. Suppose 0 = 5*x - 18 - 22. What is the least common multiple of r and x?
24
Let y = 25623 - 922331/36. What is the common denominator of y and 77/6?
36
Let r = -661 + 11241/17. Let m = r + 312/119. Find the common denominator of m and 53/5.
35
Let a be (-11 - 1)/((-28)/(-154)). Let p be 581301/a + 0 - 0. Let w = p - -8804. Find the common denominator of w and 49/18.
198
Let k be (-4)/10 + (-81)/(-15). Suppose k*o - 32 = o. Calculate the smallest common multiple of (3/(-15))/(5/(-125)) - 1 and o.
8
Let j(p) = p**3 - 12*p**2 - 14*p + 17. Let n be j(13). Suppose -n*k - 10 = -46. What is the smallest common multiple of k and 16?
144
Let r(p) = -p**3 + 12*p**2 + 2*p - 12. Let q be r(12). Calculate the common denominator of (36/(-30))/(q/(-111)) and 93/10.
10
Suppose -2615 = 15*y - 2795. Let z(w) = -w**3 + 4*w**2 + 2*w - 3. What is the lowest common multiple of y and z(3)?
12
Calculate the common denominator of (-1180)/(-60) - (-3 - 0) and (-10)/11*(-6)/15.
33
Calculate the least common multiple of 100 and (-9)/((-5)/2*(-7)/(-35)).
900
Let n = 76 - 112. Let o(s) = -s**3 + 9*s**2 - 4*s + 4. Let d be o(6). What is the common denominator of