
Suppose 8*w - 282 = 70. Calculate the smallest common multiple of 24 and w.
264
Let t = -8421/5 - -1695. Let i(b) = b**3 - 11*b**2 + 3*b - 12. Let z be i(8). Calculate the common denominator of (-15)/(-14)*z/(-25) and t.
35
Suppose -3*p - 11 = 4*k - 2*p, -p = 3*k + 9. Calculate the least common multiple of 14 and 13 - (8 + k)*(-1)/2.
112
Suppose 2*r = 6, 0 = 2*c - 6*c + 2*r + 18. Let w(y) = -y**2 + y + 3. Let k be w(3). Let j = -2 - k. Calculate the smallest common multiple of c and j.
6
Calculate the common denominator of 27/19 and ((-2)/(-1))/(((-448)/(-680))/(-14)).
38
Let t = -2167 + 2311. Calculate the least common multiple of t and 540.
2160
Let h = 697/6116 - -120/139. Find the common denominator of 59/154 and h.
308
Let w = -1413392/111 + 12733. Find the common denominator of 53/12 and w.
444
Let p = 17548 - 5843479/333. Calculate the common denominator of 145/24 and p.
2664
Let z = 21 + -16. Suppose -5*k + 10 + z = 0. What is the smallest common multiple of k and 46?
138
What is the lowest common multiple of 11 and -2 + -3 - (-16 - 8)?
209
Let o(j) = -j**2 - 32*j + 70. Calculate the lowest common multiple of 1716 and o(-34).
1716
Calculate the lowest common multiple of 12 and (-50)/(-20)*(-144)/(-20).
36
Suppose 8*r - 13 + 5 = 0. Calculate the smallest common multiple of (39*4/3)/(2 - r) and (-2)/(-2) + 1 + 20.
572
Suppose -1 = 5*h - 4*h. Calculate the least common multiple of 64/12*-3*h and 50.
400
Let v = 1/2189 + -85403/70048. Find the common denominator of 89/20 and v.
160
Let k = -108 - -54. Let v = 57 + k. Calculate the lowest common multiple of v and 9.
9
Let f = -26 - -25. Let x be 35*(-1 + 22 + f). Find the common denominator of (-1)/(-3) - x/(-96) and -121/10.
40
Let f be 64/20 + 1/(-5). Suppose 3*w - 15 + f = 0. Suppose -w*t + 42 = -14. Calculate the lowest common multiple of t and 16.
112
Calculate the common denominator of -7/275 and 4/(-26) + (5 - (-48054)/(-8580)).
550
What is the common denominator of (-8)/(960/(-3710))*8/84 and -7/146?
1314
Suppose -5*y + 52 = -z + 5*z, -5*z + 2*y + 98 = 0. Calculate the smallest common multiple of z and 512/32 - -2*2.
180
Let o(i) = 3*i - 27. Let z be o(9). Suppose 4*w - 15 - 21 = z. What is the lowest common multiple of 1 and w?
9
Suppose 3*a + 4*v + 137620 = 696555, -a - v + 186313 = 0. Let b = a - 1133579/6. Let z = b + 2592. What is the common denominator of z and 35/18?
18
Let t = 9 - 3. Let w(j) = -2*j**3 - 10*j**2 + 97*j - 26. What is the smallest common multiple of t and w(-10)?
12
Let r = 527 - 4720/9. Let m = 1176200/79 - 14889. Calculate the common denominator of r and m.
711
Suppose 3*c + 2*h = 108, -c + 187 = 4*c + h. Suppose 0*y - 4*y = -48. Calculate the least common multiple of y and c.
228
Let l = 14/94253 + -1559039041/1131036. Suppose 0 = 7*v + 8197 + 1463. Let s = l - v. Calculate the common denominator of 63/2 and s.
12
Let w(d) = -3*d**3 - d**2 + 3*d + 3. Let q be w(-3). Let k = q - 38. Calculate the lowest common multiple of 22 and k.
308
Let i(l) = l**2 - 5*l + 2. Let w be i(3). Calculate the least common multiple of 2 and (-1)/(-3 - 10/w).
2
Let l = 0 - 1. Let c(y) = -3*y - 3. Let z be c(-2). Calculate the common denominator of (-13)/20 + l + z and -51/4.
20
Find the common denominator of 107/7*63/(-2700) and -47/45.
900
Suppose -3*w = 2*l - 25 - 37, 0 = 2*w - 3*l - 24. What is the least common multiple of 590 and w?
5310
Find the common denominator of (-1 - -4)*(-155)/(-4290) and 107/20.
2860
Let u = -75 + 80. What is the least common multiple of 375 and u?
375
Let s be (-2)/5*(-35)/14. Let n be (-3 - -6) + 34*s. Suppose 43 = 4*f - n. What is the smallest common multiple of f and 10?
20
Let n = -41 - -75. Let u(x) = -2*x**2 + 2*x - 1. Let i be u(-3). Let a = i + 41. Calculate the smallest common multiple of a and n.
272
Let z be (-94811)/(68/2*-2007). Let f = -77378 - -293339996/3791. Let d = z + f. Calculate the common denominator of d and 23/14.
126
Let r be ((-50)/(-30))/(2/6). Let f(a) = -13*a + 32. Calculate the common denominator of f(r) and 29/3.
3
Let b = -1335160188 - -20632230450419/15453. Let r = 1/1717 - b. What is the common denominator of 45/70*6 + -4 + 612/21 and r?
9
Let v = 12 + -8. Suppose 5*w + 2*h = v*h + 50, 34 = 3*w - 2*h. What is the lowest common multiple of 5 and 2/w + 90/24?
20
Suppose 3*x - 351 = -0*x - 3*r, -5*x - 4*r + 583 = 0. Calculate the lowest common multiple of 6 and x.
690
Suppose 0 = -4*a - 3*w + 30, a - 5*a - 2*w + 28 = 0. Let g = a - -22. Let m = -1678 + 1681. What is the least common multiple of m and g?
84
Let q = -26400 - -633467/24. What is the common denominator of q and (-201)/(-6)*(2 + 160/(-75))?
120
Suppose -11504 + 11240 = -11*r. What is the least common multiple of 60 and r?
120
Let p = -638098013/62341136 - -5/599434. Let y = p + -3/208. What is the common denominator of (46/(-161))/(20/(-145)) and y?
28
Let t(h) = -2*h**2 + 3*h. Let f be t(2). Let i = f - 19. Find the common denominator of (-2)/(-7) - 159/i and -43/3.
21
Suppose -a = 3*a + 12. Find the common denominator of -47/11 and (a/12)/(2/4).
22
Let y(w) = w + 47. Let z be y(-22). Calculate the common denominator of -39/16 and (-2 - -1)*z/12.
48
Let y = -749 - -19533/26. What is the common denominator of y and 19/18?
234
Let z = 417 - 795/2. Let v = z - 83/4. Find the common denominator of (16/(-12))/(128/(-66) - -2) and v.
4
Let g = 1834/83 - 396259/18260. What is the common denominator of -5/24 and g?
1320
Suppose 0 = 3*f - 31 + 1. Let a(o) be the second derivative of -o**4/12 + o**3 + 3*o**2/2 + o. What is the lowest common multiple of f and a(5)?
40
Suppose -16 = 2*v - 4*q, 3*q = v + 2*v + 12. Let c be -3 + (-6 - (-3 + v)). Let r(i) = -2*i - 4. What is the least common multiple of r(c) and 5?
40
Let l = 15091/72 + -1611/8. Let v be (7/(-4))/((-2)/(-24)). Calculate the common denominator of l and v/((0 - 32)/1).
288
Let o be (2/6)/((-75)/(-27)). Let q = 343/150 - o. Let p = q - 41/2. Calculate the common denominator of 65/8 and p.
24
Let z(i) = -59*i + 42. Let y be z(-6). What is the common denominator of 2 + 40/(-18) - (-4675)/y and -137/30?
60
Let w = -82 + 91. Suppose 0 = -2*q - u + w, -3*u - 9 = -0*u. What is the lowest common multiple of q and 50?
150
Let s = -288255/26 + 11085. Calculate the common denominator of -67/28 and s.
364
Let h = 6335/276 + -480/23. What is the common denominator of 5 + 26/22 - 3 and h?
132
Let y = 175 - 7. What is the smallest common multiple of y and 2?
168
Find the common denominator of (10/((-40)/3))/(10/(-168)) and (17/(-3))/(28/(-8)).
105
What is the smallest common multiple of 22/(-3)*90/(-165) and 14?
28
Suppose -2*k - 1 + 4 = 3*r, -4 = -k - r. Let v = k - 5. Calculate the lowest common multiple of -2 + (0 - (-8 + -2)) and v.
8
Let v(d) = -151*d**3 + d**2 - d - 1. Calculate the least common multiple of 171 and v(-1).
1368
Let b = 3137/4 + -84427/108. Find the common denominator of b and 55/39.
351
Find the common denominator of 17/2 and (1/(-993)*-15)/((-3)/(-24)).
662
Suppose -5*c + 26 = 3*t, -5*c + 14 = 4*t - 2*t. Suppose 8*u - 24 = 12*u. Calculate the lowest common multiple of t and (-2)/u - (-144)/54.
12
Suppose -o = -3*o + 60. Let h be (-12812)/54670 + o/50. Let p = -1/497 + h. Calculate the common denominator of p and 68/9.
99
Let j = 2/18137 + -2303423/217644. Let r be 2/(4/(-6)) - -1. Calculate the common denominator of 777/(-30) + r/(-5) and j.
12
Let a = 6 - -8. Let v = -29 - -31. Suppose 25 = 3*i - v. What is the least common multiple of i and a?
126
Let x(c) = 6*c**2 - 12*c - 11. What is the smallest common multiple of 14 and x(-1)?
14
Suppose -96 = 5*t - 9*t. Calculate the least common multiple of t and 27.
216
Let g = -26 - -20. What is the common denominator of (-2 - 10/g)*380/16 and 29/30?
60
What is the common denominator of 1*(-163)/(-240) + (-32)/(-40) and 173/60?
240
Let s = -5468/5 - -1099. Suppose 2*r = -3*f - 120, -3*r + 48 = -f - r. Find the common denominator of s and f.
5
Suppose -2*y = -4*j + j - 6, 4*y - 12 = -4*j. Suppose 3*f - 12 = -y*g + 93, 0 = 4*f - 8. What is the common denominator of -81/22 and (-14)/(-108)*(g + 6)?
198
Suppose 7*y - 5 = 30. Let m(k) be the first derivative of k**3/3 - 5*k**2/2 + 2*k + 2. Calculate the least common multiple of m(y) and 2.
2
Let g(c) = 