35/(-5)) + 9/3 and 51.
1479
Let d be -3 - (18/8 - 3/(-4)). Calculate the common denominator of 143/36 and (-2 - 3/d)*145/210.
252
Suppose -3*s + 8*s = 15. Let l(f) = -f**2 + 12*f - 1. Calculate the lowest common multiple of (-6)/(-27)*s*15 and l(11).
10
Let d(h) = -h - 9*h - 5 + 4*h**2 - 5*h**2 + 3. Let w(x) = x**2 - 3*x - 1. Calculate the least common multiple of d(-9) and w(5).
63
Suppose -3*u - 1377 = 3*x, 3*u = -x - u - 444. Find the common denominator of 25/4 and x/(-24)*(-2)/12.
36
Suppose 8*x + 9 - 137 = 0. Calculate the lowest common multiple of 46 and x.
368
Let c(u) = -u**3 + 45*u**2 - 42*u + 172. What is the lowest common multiple of 100 and c(44)?
1300
Let t = 62 + -48. Calculate the least common multiple of 15 and 7/(t/44) - 1.
105
Suppose -2*c + 135 = -0*g + 3*g, 3*c + g - 185 = 0. Calculate the lowest common multiple of c and 96.
480
Let b = -5 - -13. Let f = -7 - -10. Calculate the smallest common multiple of f and (4/b)/(2/36).
9
Let p = -25370999129/3443914200 - -1754/748677. Let l = -6/575 + p. Calculate the common denominator of 23/44 and l.
88
Let f(w) = w**3 - w**2 - 2*w - 2. Let n be f(0). What is the smallest common multiple of 1/(n/(-44)) + -4 and 18?
18
Suppose -272 + 92 = -10*m. Suppose 2*r - 5*r + 18 = 0. Calculate the common denominator of 46/9 and 33/m + r/(-3).
18
Let k(n) = 2*n + 21. Suppose -q + b = -b + 7, 4*q = -3*b - 28. Calculate the lowest common multiple of k(q) and 10.
70
Let w = -5100/77 - -975026/14721. Let x = w + 1873793/231330. What is the common denominator of x and 51/14?
70
Let c = -343 + 373. What is the smallest common multiple of 15 and c?
30
Let c be 7940 + -3 + (4 - 3). Let t = c + -79443/10. What is the common denominator of t and -32/7?
70
Suppose 12*f + 48 = 9*f. What is the lowest common multiple of (3/(-2))/((-2)/4) and 4/f*-4*7?
21
Suppose -s - 164 = -2*n + 55, 5*n + 837 = -4*s. Find the common denominator of 51/2 and (s/(-27) + 3)*(-6)/16.
12
Suppose -4*q = y - 22, 0 = 5*y + 5*q - 0*q - 35. Let d = 117 - 115. What is the least common multiple of y and d?
2
Let i be 11142152/(-1754720) + 6/4. Let a = -2/10967 + i. Find the common denominator of 113/18 and a.
180
Suppose 0 = -7*a - 189 - 28. What is the common denominator of a/((-2570)/(-50) + 4/(-10)) and -53/27?
459
Suppose 3*k = -3, -i - 3 + 7 = k. Suppose -67 = -4*j + c, j + j - i*c - 11 = 0. Calculate the least common multiple of j and 21.
126
Let f(b) = 4*b**2 - 10*b - 24. What is the lowest common multiple of (1/1)/((-6)/(-108)) and f(-3)?
126
Let g(n) be the first derivative of -n**3/3 + 4*n**2 + 17*n - 12. Calculate the smallest common multiple of g(9) and 44.
88
Let i = -7223609/156 + 46305. Calculate the common denominator of 109/390 and i.
780
Suppose 2*f - 4*f + 4*d - 16 = 0, 4*f + d = 13. Suppose 4 = 2*x + n, -x + 2*x = -5*n + f. Let c = 4 - -1. What is the lowest common multiple of x and c?
10
Let h = 136/99 - -2/11. Let p = -3495 + 13163/4. Let u = -3991/20 - p. What is the common denominator of h and u?
90
Let h(l) = -l**3 - 26*l**2 + 7*l + 24. Let b be h(-20). What is the lowest common multiple of 4 and (-8)/(-36) + b/(-18)?
140
Let w(x) = x**3 + 4*x**2 + 6*x + 6. Let a be (6/(-9))/(5/15). What is the smallest common multiple of 20 and w(a)?
20
Let q(w) be the third derivative of w**5/12 - w**4/6 - w**3/2 + 4*w**2. What is the least common multiple of q(-1) and 14?
42
Let z(g) = g**2 + 10*g - 42. Let b(l) = -2*l**3 + 2*l + 2. What is the smallest common multiple of z(-14) and b(-2)?
14
Let x(g) = -3*g - 15. Let u be x(-6). What is the common denominator of (2/4)/((-10)/385) and (u/(-66))/(4/296)?
44
Suppose -y = -5*l, l = -2*y - 2*l - 26. Let n be ((-4)/y)/(3/1785). Find the common denominator of n/(-20)*1/(-1) and 45/4.
20
Let r = -58439/60 - -2932/3. Find the common denominator of r and (210/25)/(16/(-15)).
40
What is the common denominator of -71/14 and (-399)/(-738) - 14/(-21)?
574
Let m be (-16)/104 + 46180/26. Suppose -507 = -3*a - m. What is the common denominator of 2/(-12)*a/(-6) and -33?
4
Let o(j) = -2*j**2 + 2*j - 2. Let q be (8/(-10))/(2/(-5)). Find the common denominator of -2 + q + 31/6 and o(3).
6
Let i(o) = 5*o - 15. Let s be i(5). Let d(u) = -u**2 + 13*u - 20. Calculate the lowest common multiple of d(s) and 4.
20
Let g = 291 - 859/3. Let k = -664/539 - -194/49. Find the common denominator of k and g.
33
Let j(q) = q**3 + 31*q**2 + 24*q - 76. Calculate the least common multiple of j(-30) and 65.
520
Let x = -29 + 33. Suppose 22 = a + 194. Find the common denominator of 51/7 and a/72 - 6/x.
63
Let m be (-3 - 1 - -4)/(1 - 3). Suppose -x + 15 + 0 = m. What is the lowest common multiple of x and 30?
30
Calculate the least common multiple of 102 and -3 + (8 - 10) - -32.
918
Suppose p - w = -14, -2*p - 4*w = 4 - 0. Calculate the common denominator of 107/20 and (79/p + -3)/2.
20
Let h(g) = 2*g**2 + 6*g + 2. Let p be h(-2). Calculate the lowest common multiple of 2 and 710/50 - p/(-10).
14
Let w = -96187/454770 + 2/5053. What is the common denominator of 82/15 and w?
90
Let h be ((-510824)/144)/(4/(-2)). Let i = -7075/4 + h. Find the common denominator of i and 9/15 + 1*(-379)/(-60).
36
Let u be 6/((12/(-256))/1). Let y = u + 773/6. What is the common denominator of y and -37/18?
18
Let o(q) = q + 2. Let k be o(4). Suppose -k = -2*a + 2. What is the common denominator of (-15)/((336/3)/a) and 149/12?
84
Suppose 3*o = -2*v + 224 + 126, -5*o = -3*v - 558. Let q = -77 + o. Calculate the least common multiple of q and 4.
148
Let q be (-1498)/(-42) - 1/(-3). Suppose b = 2*s - 11 - 6, 4*b + q = 4*s. Calculate the least common multiple of 1 and s.
8
Suppose 782 = 7*m + 208. What is the smallest common multiple of m and (-3 - -13)/(0 + 2)?
410
Suppose -7*p = -2*p + 2070. Calculate the common denominator of (-9114)/(-1080) - 38/760 and (1/(-3))/(68/p).
306
Let k be 15*5*3/9. What is the least common multiple of k*((-12)/(-15) - 0) and (1 - 27/21) + (-100)/(-7)?
140
Let u(d) = -21*d**2 - 2*d - 3. Suppose 2*h = -0*h - 4. Let f(k) = k**2 + 1. Let n(z) = h*f(z) - u(z). Calculate the least common multiple of n(-1) and 10.
90
Suppose -2*k + 35 = 3*m, -3*m = -m + 6. Calculate the least common multiple of 11 and k.
22
Let q(r) = 0*r + 2 - 5*r + r**3 - 4*r**2 - 4*r**2 + 12*r**2. Suppose 0 = 3*h - 3 + 18. What is the least common multiple of q(h) and 1?
2
Suppose -x = -4*x + 6. What is the smallest common multiple of ((-45)/(-20))/(9/96) and x?
24
Let w = 44 - 27. Suppose -25 = 12*t - w*t. What is the least common multiple of t and 9?
45
Let y(o) = o**3 - 5*o**2 + 2*o - 1. Let g be y(6). Suppose 2*l + 11 = g. Suppose 10*v - 70 - 110 = 0. Calculate the least common multiple of v and l.
18
Let t be (1/15)/((-5)/6). Let i = 29/50 + t. What is the common denominator of (-3)/3 + 21/8 and i?
8
Let b be 196/(-6) + (-2)/(-3). Suppose -4*m = 3*m + 49. Find the common denominator of -1 + m/((-126)/b) and -31.
9
Let l = -8 - -11. Suppose 2*y = 5*k - l*y, 24 = 4*k + 4*y. Suppose 50 = k*s + 4*m, 0 = s - 4*m - 4 + 14. Calculate the least common multiple of 6 and s.
30
Suppose 8*d - 13 - 35 = 0. Let s = 16 - d. Let b(u) = u + 1. What is the least common multiple of s and b(7)?
40
Suppose 3*j = p + j - 12, 5*p - 5*j - 80 = 0. What is the common denominator of 5/(-2)*p/135 and -127/6?
54
Let m(q) = 2*q**3 - 2*q**2 - 2*q + 1. Let c be m(2). Suppose 4*g - c*g = 1. Calculate the lowest common multiple of 10 and (-4 + g)*(-4)/10.
10
Suppose -2*n - 4*k = -6*k - 584, 15 = 3*k. What is the lowest common multiple of 243 and n?
2673
Let k(l) = -8*l**3 + 7*l**2 - 10*l - 28. What is the lowest common multiple of 36 and k(-2)?
252
Find the common denominator of 40/77 and (-1)/(6/4) + 82/105.
385
Let p = 594 - 504. Calculate the smallest common multiple of p and 65.
1170
Let z(i) = i**3 - 6*i**2 - 2*i. What is the lowest common multiple of 15 and z(7)?
105
Let l = 111089/24 - 4632. Find the common denominator of l and -19/56.
168
Suppose 0 = 2*y - 4500 - 4470. Let c = y + -98717/22. Find the common denominator of -33/8 and c.
88
Let i be (-69666)/(-240) - 4/(-32). Let b = -4393/15 + i. Calculate the common denominator of -13/15 and b.
15
Let k = -5630/693 - -78/77. Find the common denominator of 113/24 and k.
72
Let b(q) = -7*q - 2. Let u be b(-2). Su