common denominator of (-358)/60 + (6 - a) and -13/12.
60
Let g(o) = -o**3 + o**2 + 2*o - 2. Let m be g(1). Suppose b - 120 = -5*t, -120 = -m*t - 5*t + 2*b. Calculate the least common multiple of 32 and t.
96
Calculate the common denominator of (-222)/4*2/180 and (12 + 1062/(-63))/(40/7).
60
Let s(f) = 2*f**3 - 6*f**2 - 34*f + 148. What is the least common multiple of 15 and s(8)?
2580
Let y = -5 - -16. Suppose 39*l - 150 = -19*l + 198. Calculate the smallest common multiple of l and y.
66
Suppose 3*s = -2*g + 21, 3*s + s - 4 = 0. Let h be (-297)/45 + (-2 - (-26)/10). What is the smallest common multiple of (-21)/h*-2*18/(-21) and g?
18
Suppose 2*j - w = 46, -104 = -4*j + 3*w + 2*w. Suppose j*q - 17*q + 16 = 0. What is the common denominator of (2192/(-192))/((-2)/q) and -151/6?
6
Let z = -19 - -187. Suppose z = -g + 15*g. Calculate the lowest common multiple of g and (-4 - -1)*28/(-6).
84
Find the common denominator of ((-16)/(-10))/(360/204 - -28) and -44/805.
8855
Calculate the common denominator of (-5)/20*(-393)/(-9) and 31/4.
12
Let q(a) = -2*a - 2. Let z(l) = 2*l**2 - 17*l + 2. Let g(w) = -q(w) - z(w). What is the smallest common multiple of 15 and g(9)?
45
Calculate the common denominator of 1/(24/(-134)) - 2 and ((-3)/(-86))/((-85)/357) - (-6)/10.
516
Let d = -1 + -1. Calculate the common denominator of 101/2 and 3 - (1 - d) - 95/(-6).
6
Let o(i) = 84*i**2 - 108*i - 318. Calculate the lowest common multiple of o(-3) and 4.
1524
Suppose 174 = 5*s - 211. Calculate the lowest common multiple of (-18298)/(-28)*6/51 + 4/34 and s.
77
Let p = -1/316 + 8221/1580. Suppose -9*l - 546 - 327 = 0. Let a = l - -1647/17. What is the common denominator of p and a?
85
Let x(r) = 245*r**2 - 7*r - 6. Calculate the smallest common multiple of x(1) and 1102.
4408
Let u(f) = -2*f**2 - 6 - 7*f + 7*f - f**3 - 2*f + 2*f**3. Let a be u(3). What is the least common multiple of (2 + 1)/(a*(-2)/30) and 3?
15
Let k = -89/15 + 2819/240. Calculate the common denominator of -81/220 and k.
880
Let h = 976662/49 + -19931. What is the common denominator of h and -87/140?
980
Calculate the common denominator of 14375/48800 - 5/20 and 131/2928.
5856
Let o = 35 + -63. Let x be ((-40)/7)/(o/98). Suppose -x = -4*y + 12. Calculate the least common multiple of 8 and y.
8
Suppose -1129*n + 920*n = -708510. Calculate the lowest common multiple of n and 15.
3390
Suppose 0 = -7*w - 6345 - 4785. Let t = w + 22273/14. Calculate the common denominator of -9/91 and t.
182
Let o(g) be the first derivative of -g**4/2 - 6*g**3 - 8*g**2 + 18*g + 18. What is the smallest common multiple of o(-8) and 164?
1476
Let l = -3975 + 11996/3. Let z = -68601/23 + 2982. Calculate the common denominator of l and z.
69
Let o = 32684 - 28598568/875. Find the common denominator of 3/5 and o.
875
Let g = 486 + -129. Let h = g + -297. Calculate the least common multiple of h and 50.
300
Suppose -133*y - 25*y - 29*y = -1870. What is the least common multiple of 252 and y?
1260
Let q be (-7954595)/(-418) - (-4 + 0). Let t = 19036 - q. Find the common denominator of -65/14 and t.
266
Let v(f) = 2*f**2 + 28*f - 27. Let j be v(1). Calculate the lowest common multiple of -3*20/(-15) - j and 1.
1
Suppose -4*f - 15007 = -5*d, -d + 2*f + 1713 = -1286. What is the lowest common multiple of 30 and d?
30030
Let j be (16/(-186))/(8/324). Let t = 2357/62 - j. Let r = -47 + t. What is the common denominator of r and -79/12?
12
Find the common denominator of 109/426 and (-598519)/54315 + 21 + -10.
6390
Let n(x) = -x**2 - 6*x - 15. Let v be (-15)/(90/(-8))*9/(-2). Let i be n(v). What is the common denominator of 37/22 and (-4)/6 + -87*i/108?
132
Let z(g) = -g**3 + g**2 + 30*g + 18. Calculate the lowest common multiple of z(0) and 3514.
31626
Suppose -1376 = -16*w + 8*w. Let n = -171 + w. Calculate the lowest common multiple of 13 and n.
13
Suppose 5*t + 610 = 7*t. What is the common denominator of (1/(-4))/(20/808) and 2 - (t/(-60) - -2)?
60
Let c = 2041709/253458 + 2/14081. Let b(s) = 4*s**2 - 13*s - 106. Find the common denominator of c and b(8).
18
Let m = -10373 + 67601. What is the lowest common multiple of m and 6?
57228
Let z(u) = 6*u**2 - 12*u + 22. Calculate the lowest common multiple of 107 - (-165)/11*1/3 and z(2).
1232
Suppose 4*v = -13 + 93. Suppose -2*z + 40 = -10. Let m(j) = 5*j - 107. What is the smallest common multiple of m(z) and v?
180
Suppose 0 = -43*b + 40*b - 3*j + 696, -8 = j. Suppose w = 2, 2*r - 28 = -3*w + 22. What is the lowest common multiple of b and r?
2640
Let o = -10091465/36 + 1678487/6. Let n = -5822/9 - o. Let k = n + 75. Find the common denominator of 1/12 and k.
12
Let p = 37149 + -3566365/96. What is the common denominator of p and 139/1218?
19488
Let m = -355 + 355. Suppose m = 6*p - 1408 - 692. What is the least common multiple of 18 and p?
3150
Let g(t) = -t**3 - 6*t**2 - t - 1. Suppose -4*p = -3*p - 105. Let u = 99 - p. Calculate the lowest common multiple of g(u) and 4.
20
Calculate the common denominator of 24/(-84) - 13476/2520 and 32/45.
90
Let i = 1585/2 - 759. Calculate the common denominator of (22800/(-4290) - 6/(-11)) + 5 and i.
26
Let q(y) = y**3 - 3*y**2 + 5*y - 7. Let m be q(5). Let p = m - 16. Find the common denominator of ((-106)/15)/(p/39) and -65/22.
110
Suppose -4*x + 5*t = 53 + 29, -3*x = -2*t + 58. What is the least common multiple of 18 and (-12)/x - 3/(-9)*178?
180
What is the common denominator of -149/1848 and ((-80800)/(-8064) - 10)*1086/440?
3696
What is the least common multiple of 666 and (-5031)/(-1161) + 862/6?
1332
Let h = 7/4399 - -258490/6189393. Find the common denominator of 50/7 and h.
1407
Let t = 39 + -23. Suppose 4*r = -80 + 96. Suppose r*b - 82 = -0*h + 5*h, -5*h = 10. What is the least common multiple of b and t?
144
What is the smallest common multiple of 309 and 0 - -9 - ((-180)/(-36) - -3)?
309
Let n(p) = p - 3. Suppose -3*o - 4*d = -36, -3*o = 5*d - 25 - 8. What is the least common multiple of n(11) and 4/((o/20)/2)?
40
Let y be 4/(-22)*(8782/8780 + -1). Let b = -1859237/1738440 - y. What is the common denominator of 83/63 and b?
504
Let m(o) = -o**3 + 150*o**2 - 67*o + 932. Calculate the lowest common multiple of m(149) and 20.
26300
Let m = -1108 - -4469/4. Find the common denominator of 4*(3 + (-1224)/368) and m.
92
Let r = -3/17431 + 2109169/104586. What is the common denominator of (0 - -1) + 154/(-18) and r?
18
Let v = 522123 + -8353913/16. What is the common denominator of v and 2 + 2302/(-2396) - 1?
9584
Let i = -144 + 165. Suppose 0*d - d + i = -4*h, -h + 1 = d. Calculate the least common multiple of d and (-5)/(3/(-6)*1).
10
Suppose j - 2*u - 470 = 0, 4*j - 21*u - 1868 = -16*u. What is the smallest common multiple of 198 and j?
1386
Suppose 12 + 50 = -2*y. Let x = y + 31. Suppose -n + 12 = 5*r, 5*r - 2*n = -x*n + 6. Calculate the least common multiple of r and 2.
2
Let l = 65661/23426 - -75/689. Calculate the common denominator of l and 30/527.
1054
Let h be (-1 - 15/(-4))*157498/66. Let b = 6570 - h. Calculate the common denominator of b and -1 + (111/10 - 0).
60
Let l be 12/(8/(-20)*-5). Let z = l - 1. Suppose 2*a + 3*q = -a - 51, z*a + 115 = 5*q. What is the common denominator of 1/8 and a?
8
Let h = -15675537607307/15204 + 1031014053. Let j = h + -2/1267. Find the common denominator of j and 61/188.
564
Let b(x) = 26*x - 11. Let d be b(-2). Let a = -83 - d. Calculate the common denominator of 11 and 2/(-6)*(-666)/a.
10
Let l = 365/25846 + 13070928851/51692. Let u = l + -1385932693/5481. Let m = u - 1/756. Calculate the common denominator of m and -149/6.
174
Suppose -4*q - 144 = -10*q. Let p = q + -2. What is the lowest common multiple of 8 and p?
88
Let o(t) = t**3 - 18*t**2 - 2*t + 6. Let q be o(18). Let u(a) = -6*a + 6. What is the common denominator of 14/21 - ((-415)/q + -3) and u(-5)?
6
Suppose -151 = -4*i - 31. Suppose 0 = 9*m - 4*m - i. Calculate the smallest common multiple of (m - -3)*(-22)/(-6) and 15.
165
Suppose 5*a - 19*a + 770 = 0. Calculate the common denominator of ((-20)/a)/((-2)/3) and 48/17.
187
Let h(f) = -4*f - 54. Let c be h(30). Let n(r) = -r**3 + 5*r**2 + 8*r - 3. Calculate the lowest common multiple of (-36)/(-270) - c/45 and n(6).
36
Let a(w) = w**2 + 2*w - 19. Let x(c) = -c**3 - 11*c**2 + 24