48
Let t(g) = -g**2 + 6*g - 2. Let b(r) = r**3 - r**2 - 57*r + 20. Calculate the smallest common multiple of t(5) and b(-7).
27
Let o = 2 + -6. Let t(m) = -m**3 - 5*m**2 - 4*m + 5. What is the lowest common multiple of t(o) and 14?
70
Calculate the common denominator of 1 + (3/(-28))/((-72)/(-1216)) and 97/60.
420
Let u = 514 + -481. What is the lowest common multiple of 44 and u?
132
Let j = 18 - 13. Suppose 2*p + j*a + 3 = 6*p, p + 4*a - 27 = 0. Let r = 3 + p. What is the smallest common multiple of r and 22?
110
Let q = -3425/2 - -1667. Calculate the common denominator of (-4)/(-14) - 164/672 and q.
24
Suppose 188 + 32 = -4*t. Calculate the common denominator of t/130 - (2 + 1) and 6 + (119/175)/((-8)/(-20)).
130
What is the common denominator of -137/72 and (-291)/(-54) - (-3)/6?
72
Find the common denominator of 59/9 and (-4069)/468 - 30/(-3).
36
Let v(d) = 313*d + 4739. Let x = -24 - -40. Calculate the smallest common multiple of x and v(-15).
176
Let p = 764 + -1376. Let y be 4/14 - p/63. Calculate the common denominator of (158/(-40))/(8/y) and 61/16.
16
Suppose 5*x - 2*u = 23, -5*x + 19 = -u - 0*u. Suppose -x*r + 20 = r. Suppose 0 = 5*s - 41 + 6. Calculate the least common multiple of s and r.
35
Let c = -2314925/6 - -386759. Let q = -925 + c. Find the common denominator of (54/(-4) + 1)/(-2) and q.
12
Let r be -4*1/2*-1. Let t = -107 + 187. Suppose r*p - t = -2*p. What is the least common multiple of 16 and p?
80
Let s = -7181658 + 4177761. Let t = s + 27067987/9. Let b = t + -3664. Find the common denominator of -4/3 and b.
9
Let v = -4 - -9. Suppose 0 = -4*h - 3*j + 153, 0*j + 87 = 2*h + v*j. Calculate the lowest common multiple of h and 8.
72
Let i = -54 + 39. Let s = 39 + i. Calculate the least common multiple of s and 22.
264
Let l = 204521/20118 - -2/3353. What is the common denominator of 33/10 and l?
30
Let b(x) = -1. Let k(n) = n**2 + 7*n - 38. Let o(l) = 5*b(l) - k(l). Calculate the common denominator of o(-10) and 149/30.
30
Let z = 3 + -2. Suppose 0 = 9*i - 13*i + 8. What is the common denominator of 15/4 and (30 - z)*(-3)/i?
4
Let c = 2162/3 + -738. What is the common denominator of c and 46/33?
33
Find the common denominator of -3/28 and 17876/(-3936)*(-4)/22*1.
924
Calculate the common denominator of (7 - 2) + -39*(-6)/(-60) and 85/16.
80
Suppose -a = -5*f + 35, 2*a - 3*f + 8*f + 10 = 0. Let x = 76163/18681 - 2/18681. What is the common denominator of (-3)/15 + a/(-6) and x?
130
Let x(v) = v**2 + 18. Let r(a) = -9 - 11 - 2 - 6*a + 2. What is the least common multiple of r(-6) and x(0)?
144
Let r(b) = 7*b**3 + 15*b**2 - b + 3. Let u(g) = -g**3 - g**2 - 1. Let f(p) = r(p) + 6*u(p). Calculate the least common multiple of f(-9) and 9.
18
Suppose -4*m = -3*m + 5*m. Suppose 5*o - 3*z + 2 = m, -o + 6 = -2*o + 2*z. What is the lowest common multiple of 22 and o?
22
Let b = 67370 + -4177029/62. What is the common denominator of 3/2*50/12 and b?
124
Calculate the lowest common multiple of 0 - -13 - (2 - 3) and 208/(-40) + 5 - 102/(-10).
70
Let o(b) = b**2 - 1. Let n be o(-1). Suppose -54 = -d - n*d. Calculate the least common multiple of d and 2.
54
Let m = 1261/275 - 76/25. Find the common denominator of m and 13/9.
99
Suppose 7 + 0 = 7*g. Find the common denominator of 3*g/(-81)*-28 and -83/54.
54
Let q be (15 - 8)/((-1)/(-1)). Let p(s) = s**3 - 6*s**2 - 6*s - 6. Let f be p(q). What is the common denominator of -139/6 and 111/(-5)*f/(-2)?
30
Let o = -908503/89 + 10208. Calculate the common denominator of -85/12 and o.
1068
Suppose -4*t + 4*z - 181 - 1211 = 0, -5*t - z = 1710. Let g = 1055/3 + t. Let r = -4/445 + 16048/3115. Calculate the common denominator of g and r.
21
Let g = 17726050/196881 - 2611/29. Let c = 264763/54312 - g. Find the common denominator of 83/15 and c.
120
Let z be (-531)/36*478/5. Let r = -1408 - z. What is the common denominator of r and 87/4?
20
Let t = 4097/540 + -1/270. Calculate the common denominator of (-735)/(-24)*4*2/(-20) and t.
12
Suppose -10*v = 1 - 71. What is the lowest common multiple of v and (6/3)/((-6)/(-93))?
217
What is the least common multiple of 13 + (-1)/(5/(-20)) - 1 and 40?
80
Let o = -15 - -17. Suppose -4*x + 0*x = q - 18, 5*q - 46 = o*x. What is the smallest common multiple of q and 8?
40
Let u be 97 + (-1 + 2 - -2). Calculate the smallest common multiple of (6/5)/(3/u) and 6.
120
Suppose f - 5 = 11. Suppose -3*a = -7*a - 160. What is the lowest common multiple of f and 8/(30/16 + (-5)/a)?
16
Let o = -67/119 + 4136/15589. Calculate the common denominator of o and -71/4.
524
What is the common denominator of (-8)/(-4) - (-8)/(-140) and 4/63?
315
Suppose 4*i + 7*i - 231 = 0. Calculate the least common multiple of 30 and i.
210
Let j(w) = -w**2 - 2*w - 3. Let s = 343 + -644. Calculate the common denominator of j(-2) and (-3)/(-18) + s/(-12).
4
Let c(i) = 12*i + 16. Let d(h) = h**2 - 24*h - 33. Let n(g) = 5*c(g) + 2*d(g). What is the least common multiple of n(-7) and 26?
364
Find the common denominator of (-44395)/(-5100) + -9 - (-1)/(-5) and 47/26.
2652
Let i(u) = -u**3 + 7*u**2 + 4*u + 6. Let r be i(6). Let l = -109/348 + -3/29. Calculate the common denominator of 3 + -3 + r/16 and l.
24
Let v(s) = 14*s**2 + 2*s - 10. What is the smallest common multiple of v(2) and 35?
350
Suppose 3*q + 4*w - 657 = -230, 0 = 2*q - w - 292. What is the lowest common multiple of 7 and 377/q + (-4)/(-10)?
21
Suppose 14*x - 444 = 60. Calculate the lowest common multiple of x and 8.
72
Let p(f) = -4*f + f**3 + 1 + 0 + 2*f. Let d be p(-2). Calculate the lowest common multiple of (-407)/(-44) - d/4 and 14.
70
Let f(v) = v**3 + 9*v**2 + 7*v - 8. Let s be f(-8). Suppose -4*j + 5*j + 5*q - 45 = s, -j = -4*q. What is the least common multiple of 4 and j?
20
Suppose -25*q + 191 = -9. Suppose 30 + 15 = 5*z. Let o = z - 5. What is the least common multiple of o and q?
8
Let s be (-1)/5 + 399/(-5). Let a = s - -88. What is the least common multiple of 44 and a?
88
Let w = -136785/4 - -8207209/240. What is the common denominator of 51/10 and w?
240
Let g = -163673783/60 + 2727958. Let d = 291/5 - g. Calculate the common denominator of 149/6 and d.
12
Let q = -1601/24 - -193/3. Let w = 13 - 12. What is the common denominator of w - (3 + 12/(-20)) and q?
40
Let o = 1742 + -222991/128. Find the common denominator of 5/176 and o.
1408
Let a = 52539/14 + -3748. Let b = -226371/34 - -6656. What is the common denominator of a and b?
238
Suppose -8*g + 136 = 496. Calculate the common denominator of g and 93/64.
64
Let v be 1*(-3 + 0)*-7. Let n be 2/(-1 + -1 - -1). Calculate the smallest common multiple of 6 and 32/(-12)*v/n.
84
What is the least common multiple of (44/(-275)*10)/((-2)/20) and 24?
48
Find the common denominator of 4 and (-2581)/319 + 6*1.
11
Suppose -2*c - 8*c + 20 = 0. Let o(g) = 3*g + 13. What is the smallest common multiple of o(c) and 9?
171
Let t(w) = -7*w**2 + 35*w + 19. Let y(g) = 10*g**2 - 52*g - 29. Let s(a) = 7*t(a) + 5*y(a). Calculate the lowest common multiple of 8 and s(17).
88
Find the common denominator of 3277/87*3/70 and 18/35.
70
Let f(r) = r**2 - 3*r - 3. Let w be f(4). Suppose 0 = b - 3 + w. Suppose 0 = j - 3*j + 10*s + 8, 3*s - 28 = -j. What is the smallest common multiple of j and b?
38
Calculate the lowest common multiple of (168/(-126))/((-2)/30) and 760.
760
Let c = 96 + -6754. Let q = c - -119785/18. What is the common denominator of q and 137/12?
36
Let j(f) = -8*f + 26. Let s be j(4). Suppose y + l = -l + 12, 5*y - 3*l = 21. What is the least common multiple of (-6)/(-12) - 9/s and y?
6
Let o = 389800 - 88874551/228. Calculate the common denominator of o and 75/14.
1596
Let w = -25341848211/176 + 143988147. Let a = w + -4044/11. What is the common denominator of 47/18 and a?
144
Calculate the common denominator of -51/142 and 15/(-6)*(-392)/(-210).
426
Let v be (-28 - 0)*(-2)/8. Suppose -2*z + 0*z = -16. Calculate the smallest common multiple of z and -3*(-3 + v/3).
8
Let v be -2 - (-272215)/330*25. Let k = v - 20621. Calculate the common denominator of k and 61/9.
198
What is the common denominator of (-1173)/(-85)*10/99 and 83/33?
33
Suppose -l - 104 = -2*t - 3*l, -t + 2*l = -61. Suppose t = 3*w + w - n, 2*n + 5 = w. Calculate the lowest common multiple of w and 3.
1