 Calculate the least common multiple of 1 and j.
3
Let i(t) = -2*t - 4. Let d(z) = -z - 1. Let o(r) = -3*d(r) + i(r). Find the common denominator of o(-4) and -15/8.
8
Suppose -2*y + 4*y = -10, -k = -5*y - 47. Suppose -4*z + 40 = -0*z. What is the smallest common multiple of k and z?
110
Let k(c) = -c**3 + 5*c**2 - c - 4. Let u = -5 + 9. Let n be k(u). Let i(y) = y**3 - 8*y**2 + 2*y - 10. Calculate the smallest common multiple of 4 and i(n).
12
Let n(z) = 655*z**2 - 4*z - 4. Let v be n(5). Let y = v - 196321/12. What is the common denominator of -65/24 and y?
24
Let u = 485 + -4871/10. Calculate the common denominator of u and (-4)/(-18) - 11271/702.
30
Let h(d) = d - 1. Let f(c) = 2*c + 11. Let s be f(-8). Let x(w) = w**2 - 13*w + 8. Let z(m) = s*h(m) - x(m). What is the least common multiple of z(5) and 18?
36
Let d = -20 - -24. Calculate the lowest common multiple of 4 and d.
4
Let c = -7 + 8. Let l(s) = -7*s - 3 + 4 - s**2 + 2. What is the smallest common multiple of c and l(-7)?
3
Suppose 2*c = -3*c + 105. Let t = -13 + c. Let o = t + 0. What is the least common multiple of o and 6?
24
Let d = 301 + -1245/4. Calculate the common denominator of d and 4/(-110)*(-10)/8.
44
Let k be -1 - (-3 - 0 - 2). Suppose 2*z + 4*p - 2 = -0*z, 2 = 2*z - k*p. What is the common denominator of z/6 + (-6)/144 and 15/8?
8
Let w(b) = 5*b - 6. Let u(h) = -6*h + 7. Let n(l) = -4*u(l) - 5*w(l). What is the lowest common multiple of n(-4) and 7?
42
Let w be 11/(-22)*(-1135)/(-2). Suppose -2*f - 552 = 2*g, 4*f - 2*f + 522 = 4*g. Let o = f - w. Calculate the common denominator of 89/2 and o.
4
Let l(x) = -x**2 - 4*x + 4. What is the smallest common multiple of l(-4) and 18?
36
Let z be 3 - 1/(0 + 1). Let r(t) = t + 3. Let x be r(5). Suppose -z*a + x = -a. Calculate the least common multiple of a and 16.
16
Let c = 12 - 12. Calculate the common denominator of ((-43)/(-7))/(c - -1) and 67/16.
112
Let a(l) = l + 7. Let i(g) = -5*g**2 - g. Let v be i(1). Calculate the least common multiple of a(v) and 6.
6
Let v be (-43408)/5139 + (4 - 2). Let b = v - -4/1713. Calculate the common denominator of 69/2 and b.
18
Let m = 479 + -277. Suppose p + 0*p = -m. Calculate the common denominator of -17/8 and -3*p/108 - 2.
72
Suppose 0*t = t + 4*f - 10, -2*t - 2*f + 2 = 0. Calculate the smallest common multiple of 7 and -7*(2/t)/1.
7
Let x = -1/6244 + 390253/18732. What is the common denominator of x and 93/10?
30
Suppose l + 376 = 3100. What is the common denominator of (-15)/(-2)*(-10)/(-6) and 4/(-6) + l/(-288)?
8
Let d = 13571/8602 - 20/1173. What is the common denominator of 133/18 and d?
198
Suppose 0 = -4*d + 5*g + 12, 2*d + 4*g = 5*g + 6. Suppose d + 6 = n. What is the least common multiple of 10 and n?
90
Let d(x) = 884*x**2 - 2*x - 1. Let b be d(-1). Let y be 4/10 + (-624)/b. Let v = -407/1180 + y. Calculate the common denominator of v and -89/12.
60
Let i(f) = 4*f - f**2 - 5*f + 2*f**2 + 8. Calculate the lowest common multiple of 4 and i(0).
8
Calculate the common denominator of 13/18 and -71*(65/30)/(-13).
18
Let f = -28 - -54. Calculate the lowest common multiple of 14 and f.
182
Suppose 3*l = 6*l + 24. Let t = -8868 - -159491/18. What is the common denominator of (438/(-45))/(l/(-6)) and t?
90
Let d = -6172541 - -2111006449/342. Let i = 52/57 + d. Find the common denominator of i and 79/14.
126
Let u = 1 + -6. Let j(n) = n**3 + 4*n**2 - 7*n - 1. Calculate the least common multiple of j(u) and 10.
90
Let p = 617/22 + 13567/154. Let a = -6749/56 + p. What is the common denominator of a and ((-52)/(-30))/((-24)/(-10))?
72
Suppose -h + 10 = -3*h. Let m = -1 - h. What is the least common multiple of m and 1?
4
Let i(t) = -5*t - 2. Let u = 15 + -11. Let a = 2 - u. What is the least common multiple of 11 and i(a)?
88
Let u be (-974)/(-4) + 2 + -3. Let s = u + -4869/20. What is the common denominator of -149/6 and s?
60
Let s = 12 + 8. What is the lowest common multiple of s and 8?
40
Let p(l) = l**3 + 6*l**2 + 3*l - 5. Let k be p(-5). Suppose -11 - 4 = -k*f. Find the common denominator of (-1)/(((-21)/20)/f) and 48/7.
7
Suppose -12*l = -5*l - 14. Let r(i) be the second derivative of i**4/12 + i**3/3 - 2*i**2 + 2*i. Calculate the lowest common multiple of r(-5) and l.
22
Suppose 0 = 5*b + n, 9 = -b - 4*n - 10. Calculate the lowest common multiple of b and 4.
4
What is the common denominator of 51/8 and (-2)/(-42)*174/(-4)?
56
Suppose -2*j = 2*j - 28. Let n = 43 + -31. Suppose g = 3*g - n. Calculate the smallest common multiple of g and j.
42
Let q(b) = 0*b + 8*b - 9*b. Let a be q(5). Let p(l) = -l**3 - 4*l**2 + 4*l + 5. Calculate the lowest common multiple of 3 and p(a).
30
Let b be ((-5)/30)/(2/(-63)). Let m = 3 - b. What is the common denominator of m and -70/9?
36
Suppose 0 = 4*a - 2 + 6, 0 = 4*r - 5*a - 89. Let s = r - 42. Find the common denominator of -47/2 and s.
2
Find the common denominator of (-15)/(-20) + 278/40 and 11/14.
70
Find the common denominator of 79/4 and ((-26)/7 - -3)/((-4)/11).
28
What is the common denominator of -1/6 and ((-101)/(-9))/((-22)/(-33))?
6
Suppose 3*g - 5*g + 35 = 3*q, 0 = -q + 2*g + 1. Calculate the lowest common multiple of 1/(-2) - (-9)/6 and q.
9
Let q = -1587 + 19111/12. Calculate the common denominator of q and -67/64.
192
Let q(m) = -m**3 + 3*m**2 - 8*m + 8. Let i be q(8). Let k be (i/4884)/((-4)/(-3)). Let z = k - 13/37. Calculate the common denominator of -85/4 and z.
44
Suppose -4*m = -0*m - 32. Suppose 0 = -0*w - 2*w - m. Find the common denominator of -5/9 and ((-4)/w)/((-6)/(-58)).
9
Let n = -46 - -26. Calculate the smallest common multiple of 8 and n*(18/15)/(-3).
8
Let w(o) = o**2 - 2. Let g be w(4). Suppose -4*a + 10 = -g. What is the common denominator of 59/5 and (-43 + a)*1/2?
10
Let w = 61/11 + -997/33. Calculate the common denominator of w and 13/3.
3
Let p(y) = y**2 - 4*y - 6. Let q(z) = 5*z**2 - 2*z - 2. What is the lowest common multiple of p(6) and q(-2)?
66
Suppose -4*k + 2*d + 2*d = 8, 0 = -3*k + 5*d - 16. Suppose -5*c + 2 = -3. Find the common denominator of 17/(-1)*c/k and -18/11.
33
Let f(w) = -3*w**2 - 13*w + 4. Suppose -75 = -3*m + 3*k, 0 = 4*m - 6*m - k + 35. What is the least common multiple of m and f(-3)?
80
Let z(t) = -t - 8. Let o be z(-14). Let n = 0 - -4. Calculate the least common multiple of (32/(-12))/((-4)/o) and n.
4
Suppose m + 2*s = 6, -4*s + 68 = 5*m + 20. Calculate the lowest common multiple of 10 and m.
60
Let f = -17435/8 + 2183. Let b = 296441/14946 - 2/2491. Calculate the common denominator of f and b.
24
Suppose 2*j - 3 = 1. What is the least common multiple of j and 12?
12
Suppose i = -3*g - 2*i + 60, 0 = -4*g - 3*i + 80. Let m = -4 - -5. What is the least common multiple of 10/m + 1 + 1 and g?
60
Let c(n) = n**3 - n**2 + 3*n + 1. Let y be c(-2). Let h = 37 + y. Let m(v) = v**2 + 4*v + 5. Calculate the smallest common multiple of h and m(-5).
20
Let w(j) = -5*j**3 + 3*j**2 - 2*j + 4. Let z be w(6). Let b = z - -7821/8. Find the common denominator of 17/16 and b.
16
Let r = 17950/9 + -2001. What is the common denominator of -2 - 1 - (-146)/20 and r?
90
Suppose 4*j - 6*j + 22 = 0. What is the least common multiple of 2 and j?
22
Let h(a) = a**3 - a**2 + a. Let b be 7 + -3 - (1 - 0). Suppose b*f + 0*f = 12. What is the lowest common multiple of h(2) and f?
12
Suppose -4*q - 4*k + 2048 = -0*k, q + 4*k = 518. What is the common denominator of -143/18 and (q/(-24))/(1/2)?
18
Let r = 10 - -78. Let n = -663/8 + r. Let u = -34/31 - 1117/310. Find the common denominator of u and n.
40
Let x be 2 - (-4)/(17480/(-8738)). Let p = 120167/17480 + x. What is the common denominator of p and -101/18?
72
Let v(j) = j**3 + 8*j**2 + 4*j + 1. Calculate the least common multiple of v(-7) and 12.
132
Suppose -16 = 3*i - 4*i. What is the smallest common multiple of 12 and i?
48
Calculate the lowest common multiple of 3/(-9) + 92/6 and 30.
30
Suppose -25 = 5*j, 3*h + 0*j = -j - 101. Let v = 63 - 1389/22. Calculate the common denominator of 174/h*(-1)/(-3) and v.
176
What is the common denominator of (-65)/(-14) - (4 + -1) and -67/20?
140
Let m = -22 - -25. What is the smallest common multiple of 11 and m?
33
Suppose -3*g + 33 = -5*x - 21, 2*x = -2*g + 36. Calculate the lowest common multiple of ((-96)/g)/(