04 and 5/105*7*(-1 - (-272)/44).
2244
Let s be 15 + -13 + (-142)/(-9). Let a = -989/45 + s. Let n = -2/581 + 6407/4648. Find the common denominator of a and n.
40
Suppose 106*h = 110*h + 16. Calculate the lowest common multiple of (h/10)/(65/(-1300)) and 87.
696
Let s be (2 - 5) + 1 + 26 - -1. Suppose 35*n = s*n + 420. What is the smallest common multiple of n and 8?
168
Let v(s) = -s + 13. Let k be v(17). Let o be k/7 + 20/35. Suppose o = 5*m - m - 40. Calculate the smallest common multiple of m and 4.
20
Let m be ((-66)/2)/(63/7 + -8). Suppose 7*j = 3*j - 108. Let s = j - m. What is the least common multiple of s and 8?
24
Let s = 3943488 + -10694739581/2712. Find the common denominator of s and 37/1017.
8136
Let b = 563 + -543. Suppose 10*i - 8*i - 2*v = b, -4*v = i. What is the least common multiple of 24 and i?
24
Let k(t) = 85*t + 16 + 73*t - 150*t. Calculate the smallest common multiple of 33 and k(1).
264
What is the smallest common multiple of (404/(-303))/(((-8)/6)/4) and 8980?
8980
Let y = -199 + 287. Suppose -y = -3*a + 86. What is the smallest common multiple of 7 and a?
406
Suppose -5*t + 698 = l, -l = t + t - 278. Let a be (-1464)/105*(-20)/(-2). Let d = a + t. What is the common denominator of 11/2 and d?
14
Suppose q = -4*s + 74, 5*q - 33 = 7*s + 175. What is the smallest common multiple of (75/10)/(1/2) and q?
150
Let j = 103 - 79. Let d = 1730 + -1634. What is the least common multiple of j and d?
96
Let o = 966517/10663950 - 247/3091. Find the common denominator of o and -34/1035.
10350
Suppose -8*x + 9*x = r + 3092, -3089 = -x + 2*r. Calculate the least common multiple of x and 6.
18570
Calculate the common denominator of (0 - 67)*((-642)/92 + 6 + 1) and 59/28.
644
Let b be 261/7 - (540/(-70) - -8). Suppose 3*s + 4*n = 23, 0*s + b = 4*s - n. Calculate the lowest common multiple of s and 112.
1008
Find the common denominator of (-3 + 19626/6530)/((-128)/(-288)) and -81/16.
52240
Let l = -3574464496 - -46314336449929/12957. Let u = l + 3/617. Calculate the common denominator of u and 6/99*-3 + 163/(-132).
84
Suppose 18*g = 133*g - 2486 - 3839. Suppose -2*x = 2*v + 31 - 131, -x + 5*v = -80. What is the smallest common multiple of x and g?
55
Suppose -6*p - 99 = -5*z - 9*p, -2*p = -2*z + 30. Calculate the lowest common multiple of 6164 and z.
55476
Let d(w) = 25*w**3 - w**2 - w + 1. Let j = -327834 + 327915. Calculate the least common multiple of j and d(1).
648
What is the common denominator of -69/2 and ((-865)/171 + 2 + 3)*124/48?
1026
Let t = 124 + -117. Suppose -t*o + 0*o = -245. Calculate the least common multiple of 30 and o.
210
Calculate the common denominator of 151/30 and (-8)/(-14) + (-63070)/(-29400).
60
Suppose -836 = -j - 732. What is the smallest common multiple of j and 52?
104
What is the lowest common multiple of 309 and ((-2)/(-4))/((-6365)/266 + 24)?
2163
Let k be (-2*(-6)/10)/(10/(-25)). What is the common denominator of (k - (-98)/36)*(-412)/20 and -31/72?
72
Let u = -182/53 + -179/1908. Calculate the common denominator of u and 10/(-35) + 606/896.
576
Suppose 0*j + 16 = 4*j. What is the common denominator of (-59)/7 + (6 - j) and -36/35?
35
Suppose 2*i = -2*w + 12, 67*w - 69*w + 3*i + 2 = 0. Suppose p = 4*k - 613, -521 - 259 = -5*k + 4*p. What is the least common multiple of k and w?
152
Let g = 5 + 52. Suppose b + 54 = 2*n + 3*b, -2*n + g = b. Let f(v) = v**3 + 3*v**2 - 55*v - 1. Calculate the smallest common multiple of f(-9) and n.
120
Let l(r) = -2*r**3 - 8*r**2 - 22. Calculate the smallest common multiple of l(-16) and 8.
24488
Let v = 4458 - 3858. Calculate the least common multiple of v and 100.
600
Let j = 19 + -5. Suppose 48 = j*k + 2*k. Suppose -8 + 2 = -3*s - k*y, -4 = -4*s - 5*y. What is the smallest common multiple of s and 20?
60
Find the common denominator of (74/(-10))/((-3302)/635) and 17/1*3/(-18).
78
Let k = 130617/10 + -13060. What is the common denominator of k and -29/1544?
7720
Suppose 0 = -7*f - 29 - 6. Let a be 1 + (4197190/(-48))/f. Let b = a - 17484. Find the common denominator of 68/3 and b.
24
Let u(f) = -29*f**2 - 9*f - 2*f**2 + 5 + 0*f. Let v be u(6). Let w = -4609/4 - v. Find the common denominator of 75/14 and w.
28
Suppose -4*n + 2 = -2*h, 296*h - 293*h = 4*n + 9. Calculate the lowest common multiple of h and 235.
2585
Let w = 416 - 308. Suppose 8*g - 2*g - w = 0. Calculate the lowest common multiple of 122 and g.
1098
Suppose 4*r + 240 = -200. Find the common denominator of (3/4)/(480/(-3008) + 0) and 4/10 - (-399)/r.
110
Let b = 1681/5510 + 21/1102. What is the common denominator of 47/145 and b?
145
Let c = -4 + 10. What is the common denominator of (-18)/20*3 - (29 + -28) and (-26)/(-64)*c - 1?
80
Calculate the lowest common multiple of (-4)/(-2)*79*5 and (-55)/(1210/(-12))*22.
4740
Let q = -171/13 - -2879/208. What is the common denominator of q and (-32301)/(-9603)*(-2 + (-18)/(-8))?
176
Let p be 6/6 - (-73129)/(-20). Let g = p - -3653. Find the common denominator of 24/25 and g.
100
Let r = -122 - -218. Let o = 93041/32 - 2908. Find the common denominator of (-3)/60*8/(r/(-1395)) and o.
32
Suppose 0 = 9*i - 16*i + 112. Let y = -313 + 3761/12. Calculate the common denominator of y and (18/i)/(-3)*996/(-81).
36
Let p be 348/(-36) - (-8)/(-24). Find the common denominator of 7/120 and 4/p + (-459)/(-1800).
600
Suppose -2*l + l = -270. Suppose -3*n = -4*v + l, -4*v + 2*v + 146 = 4*n. Calculate the common denominator of v*10/36 + 0 + 2 and 93/188.
564
Let r(p) = p**2 + 4*p + 21. Let j be r(9). Calculate the least common multiple of 6 and (-7 + j/(-6))*(-12)/10.
36
Suppose v = -3*k - 0*v + 506, -4*v = k - 176. What is the common denominator of (-169)/(-18) + 1 + -3 and (-2108)/k - (-2)/(-7)?
18
Let n be (-2)/4*0/4. Suppose -5*x + 196 - 581 = n. What is the smallest common multiple of (-1)/2 - x/14 and 3?
15
Let b = 3089 - 3077. What is the lowest common multiple of 5960 and b?
17880
Let a(s) = 6*s**3 + 7*s**2 - 31*s + 126. What is the least common multiple of 336 and a(6)?
10416
Let c = -3383 + 37249/11. Calculate the common denominator of c and -1262*1/(-78) - (-10)/65.
33
Let l = 253/14 - -94/7. Let q be (3/(-14))/(108/(-3067302)). Let z = q + -6098. What is the common denominator of z and l?
12
Let k(p) be the first derivative of p**3/3 - 3*p**2 + 15*p - 32. Suppose 3*s = 4*s - 14. What is the least common multiple of s and k(5)?
70
Let g(t) = -t**2 - 40*t - 140. Let w(c) = 2*c - 6. Let n be w(4). What is the lowest common multiple of 1/(n*(-2)/(-12)) and g(-36)?
12
Suppose 0 = -l + 3*l - 12. Suppose 0 = -2*i, -5*i - 4 = -3*n + 4*n. Calculate the least common multiple of (9/(9/n) - 5)*-3 and l.
54
Let l(j) = -j**3 - 3*j**2 + j + 4. Let t be l(-3). Find the common denominator of 61/12 and t/7 + 15409/(-798).
12
Let c(m) = -6*m**3 + 9*m**2 + 28*m + 81. Let v be c(-5). Let s = -22003 + 68693/3. Let z = v - s. What is the common denominator of z and -137/18?
18
Let r(g) = 143*g**2 + 83*g - 364. What is the least common multiple of r(5) and 6?
10878
Let t(f) = -91*f + 505. What is the smallest common multiple of t(3) and 2?
232
Let l = -130/4417 + -100115072/22085. Let z = 2220863/490 + l. Calculate the common denominator of z and 129/140.
980
Let x = -11274 - -11370. Calculate the smallest common multiple of 12 and x.
96
Let a be -7*3*(-6)/(-9). Find the common denominator of 7/a*(-41)/(-9) and 7 + -2 - 2009/1764.
36
Let x(s) = 23*s - 30. Let c be x(3). Suppose -55*t + c*t = -256. What is the lowest common multiple of 12 and t?
48
Let t(w) = -w**3 + 19*w**2 + 2*w + 27. Let n(j) = j**2 - 6. Let x be n(5). Let k be t(x). Let l = k + -49. Calculate the lowest common multiple of l and 22.
176
Let d = -7/418 - -13197/26752. Calculate the common denominator of -3/64 and d.
128
Suppose 0 = -804*f + 805*f - 2*p - 27, -4*f = -p - 45. Let u(o) = o**2 - 5*o - 7. Calculate the least common multiple of f and u(7).
63
Let g = -30 - -27. Let y = -2 - g. Calculate the lowest common multiple of y and 207.
207
Let j be (2 - (-125 + 12/(-4))) + -1. Let z = j + -115. Calculate the lowest common multiple of (3 + 3)*2 + -1 and z.
154
Let x = 106/3 + -1621/48. Let s(i) = 61*i + 56. Let l be s(0). Calculate the common denominator of x and 24/(-21) - (-16)/l.
112
Let c = 61424/15 + -12938/