 r = -3571/60 - p. Find the common denominator of r and ((-26)/(-117))/((8/762)/1).
12
Let w = -683 + -2867. Let f = -1910 - w. Let s = -44242/27 + f. Find the common denominator of s and 76/21.
189
Let x(b) = -7*b**2 + 7*b - 35. Let i be x(6). Let k be (-7626854)/280 - (-5)/(i/14). Let l = k + 27245. Find the common denominator of -7/76 and l.
380
Suppose 5*c + 4*u = -135 - 125, -4*c + 3*u - 177 = 0. Let g = 63 + c. Suppose 291 = 9*q - g. Calculate the smallest common multiple of 7 and q.
238
Find the common denominator of (-4620)/10032 + (-1)/(-3)*(-2 - -2) and 121/318.
12084
Let a be (-9)/3 - 32567/228. Let j = 2592/19 + a. Let k = 92782/15 + -6181. What is the common denominator of j and k?
60
Let v(h) = 41*h**2 - 84*h + 697. Calculate the least common multiple of v(13) and 21.
45738
Let d = 2198 - 46096/21. What is the common denominator of d and 131/192?
1344
What is the common denominator of -89/585 and -4 - (27/(-12))/(18/204)?
1170
Let b = 12/62767 - -9348323/20713110. Calculate the common denominator of b and 105/44.
660
Suppose 12*x - 12 - 24 = 0. Suppose -4*j + 9*j - 44 = -4*h, 4*j = 3*h + 60. What is the least common multiple of j and 22/(3 - 6*x/9)?
132
Suppose 2*j + j = v + 30, 110 = -5*v + 5*j. Let s be (2/(-2))/(v/(-54)). Calculate the least common multiple of 21 and (3/(-6))/((-3)/(27 + s)).
84
Suppose -x + 5*r + 29 = 0, -4*x = -0*r + 2*r - 6. Suppose -x*n + 10 = 2. Let y = n + 61. Calculate the lowest common multiple of 6 and y.
126
Let u = -15089/3 - -5053. Find the common denominator of u and -26/877.
2631
Let o(a) = 10*a**3 - 2*a**2 + 102. What is the least common multiple of o(6) and 21?
15330
Suppose 0 = -z + 2*z - 4. Let m = -1203 - -4835/4. Calculate the common denominator of m and 908/112 + (-1)/z.
28
Let b be 3/2*401588/561. Let i = -1073 + b. Let n = 10804/11 - 984. Find the common denominator of i and n.
187
Let p(q) = -9*q**2 + 5*q - 4. Let b be p(2). Let d = b - 55. Let l = d - -109. What is the smallest common multiple of 12 and l?
24
Let m = 287/5 + -1503/20. Let h(n) = -8*n**3 - 14*n - 48. Let b be h(-7). Let i = 19608/7 - b. What is the common denominator of m and i?
28
Let a = 989 + -969. Suppose 0 = -0*g + 4*g - 48. Calculate the lowest common multiple of 434/70 + ((-4)/a)/1 and g.
12
Find the common denominator of 3/355 and 2/(-71)*((-48)/(-10))/((-1869)/356).
2485
Let y = -1623 + 1629. Calculate the least common multiple of 165 and y.
330
Let z = -1140424685/308 + 3702673. Let k = 1/44 - z. Calculate the common denominator of 55/84 and k.
84
Suppose 16*c + 88 = 20*c. What is the least common multiple of 6 and (-2 - ((-12)/(-8) + -4))*c?
66
Let s(l) = -6*l. Let j be s(-4). Suppose 26*q - 29*q = -j. Suppose 8 = 10*y - q*y. Calculate the lowest common multiple of 20 and y.
20
Suppose 843 + 1284 = 4*s - 3*b, -2*b = 4*s - 2122. What is the least common multiple of s and 45?
2655
Calculate the common denominator of (2 + (-17)/8)/(33810/(-2840) - -12) and -25/4.
108
Let g = 249 - 490. Let y = g - -303. Calculate the least common multiple of y and 5.
310
Suppose -180 = -38*h + 48*h. Let b(o) = -10*o**2 - 4*o - 1. Let f be b(4). What is the common denominator of f/h - (-8)/(-12) and -20/9?
18
What is the common denominator of (1736/(-144) + 12)*-26 and 64/35?
315
Let y = -2200 + 15343/7. Let w = 5046/11 + -917/2. What is the common denominator of y and w?
154
Suppose 11*i - 8 = 9*i. Let r be (3/((-3)/3200))/(-7 - i). Let z = r + -103423/352. Calculate the common denominator of z and 31/36.
288
What is the common denominator of 5 + (98875/572)/(-35) and 109/352?
4576
Let c = -899 + 1011. Calculate the lowest common multiple of 20 and c.
560
Suppose -21*o = -11723 + 2840. Calculate the smallest common multiple of o and 54.
2538
Suppose 8*s = -5*g + 9*s + 685, -2*g + 4*s + 292 = 0. Suppose 132*d + g = 133*d. What is the lowest common multiple of d and 20?
680
Suppose 3*b = 3*a - 177, -3*a + 5*b + 25 + 162 = 0. Let u be ((-50754)/30 + 5)/(a/(-70)). Let g = u + -2186. What is the common denominator of -14/15 and g?
135
What is the common denominator of -11 + 0 + 2853153/257664 and 83/896?
9856
Find the common denominator of 101/28 and 11340/61740*(11/(-12) - (-6)/3).
196
Suppose 0 = -19*y + 16*y - 2*h + 30, 2*h = 2*y - 50. Let v(q) = q + 2. Let j be v(0). Suppose -49 + 1 = -j*b. Calculate the smallest common multiple of b and y.
48
Let f = -40243799/12870 - -40650/13. Find the common denominator of f and -73/144.
7920
Suppose -3*l - l = 16. What is the common denominator of l - (-747)/201 - 0 and (-5 - -3)*(-75)/36?
402
Calculate the smallest common multiple of (-1)/2*-72 + -20 and 0 + 7*(-2)/(-1).
112
What is the common denominator of (-1328)/192 + (-476)/112 and 101/20410?
61230
Calculate the smallest common multiple of 0 + -2 + -1 + 4 and -13*3/((-9)/3) - 5.
8
Suppose -9*s - 5211 = 5*y - 7*s, s = 2. Find the common denominator of -109/36 and (0 - -1)*(-3 - y/196).
252
Find the common denominator of 12 - 19 - 2/((-36)/97) and -25/237.
1422
What is the least common multiple of 144 and ((-3840)/672)/(5/(-42))?
144
Let d(m) = -5*m + 4. Let i be (0 + -3 + 5)/((-2)/(-4)). Suppose -i*z + 85 = 3*f - 4*f, 0 = 5*z + 5*f - 100. Calculate the lowest common multiple of z and d(-4).
168
Let f = 8656613/209 - 41419. Find the common denominator of 29/19 and f.
209
Suppose 1734 = 6*a - 1230. Calculate the least common multiple of 513 and a.
13338
Let z = 135867335/909 - 149469. Calculate the common denominator of 20 and z.
909
Let i = 5681815/1965558 + -2514/883. Find the common denominator of i and 55/4.
4452
Let p(a) = -31*a + 3. Let j be p(0). Find the common denominator of -37/63 and (j - -3)/((-405)/(-12)).
315
Let u(n) = 0 + 2*n - n + 4. Let r(o) = -5*o**2 - 45*o + 10. Calculate the smallest common multiple of u(7) and r(-9).
110
Suppose 4*a - 2*q = 356, a = -4*q + 81 + 17. Calculate the smallest common multiple of a and 171.
1710
Let o(x) = x**3 - 16*x**2 + 56*x - 6. Let u be o(11). Suppose -u*s + 34 = -11. What is the least common multiple of 10 and s?
90
Let q = 15 - 10. Suppose -q*m - 4*l + 46 = 0, m + 3*m - 40 = -4*l. Suppose 9*j - m = 3. Calculate the least common multiple of 7 and j.
7
Let l(f) = -f**3 - 40*f**2 + 2*f + 84. Let a be l(-40). Suppose -3*h - k = -20, -2*h - k - 10 = -a*h. What is the least common multiple of h and 24?
24
Let i = -1733/6 - -6655/12. Let x = i - 287. What is the common denominator of x and 2/(-4)*47/(-7)?
28
Suppose -6*c - 4*t = -9*c + 96, 3*t + 102 = 3*c. Calculate the smallest common multiple of c and 800.
800
Suppose 5*x + 1260 = -1705. Let u = x + 2357/4. Find the common denominator of -87/38 and u.
76
Let c be (-448)/48 - (-4)/3. Let b be c/((4 - -1)*4/(-10)). Find the common denominator of -151/18 and 131/22 + -6 + b.
198
Let f be -44 + 27 - (-8 - (-1 + -1)). Find the common denominator of 2/14 - 717*f/12705 and -34/121.
605
Let y(q) be the first derivative of -5*q**2/2 - 170*q - 27. What is the smallest common multiple of 15 and y(-44)?
150
Let f = 20404 - 20383. Calculate the least common multiple of 10659 and f.
74613
Calculate the least common multiple of (-63)/(3895/(-228) + 17) and 2520.
7560
Suppose 0 = 5*w - c - 7371, -2946 = -65*w + 63*w + c. Calculate the least common multiple of 40 and w.
11800
Let p(a) = 7*a + 214. Let u be p(-32). Calculate the common denominator of u/(-345)*(-296)/32 and 25/2.
138
What is the lowest common multiple of 2*-1 + 10 + 8 and 2758?
22064
Suppose -2*p + 16*p - 1610 = 0. Let i = p - 113. Suppose -6*f = -1 - 17. What is the least common multiple of i and f?
6
Let g(t) = 63*t - 4095. Calculate the smallest common multiple of g(76) and 891.
6237
Let w(a) = 25*a**3 - 96*a**2 + 191*a - 3. Calculate the smallest common multiple of 345 and w(2).
4485
Let v(t) = -3*t**2 + 168*t - 117. Calculate the least common multiple of 56 and v(53).
2520
Let p = 495 + -123. Suppose -4*l + 8*l = p. Let f = l + -79. What is the smallest common multiple of f and 2?
14
Let v = 18521 - 18506. What is the smallest common multiple of v and 7590?
7590
Let p = -6251303/206 + 30346. Find the common denominator of -9/1648 and p.
1648
Calculate the lowest common multiple of (-1)/3*7 - 20746/(-66) and 234.
936
Let i = 92833/69060 - -45/1151. Find the common denominator of (7