c**2 + 13*c + 9. Let b = -49 + 36. Let q be g(b). Let y = 7 + q. Calculate the least common multiple of 8 and y.
16
Let i = 58 - 35. Let m = 53 - i. What is the smallest common multiple of 15 and m?
30
Let l be (100/(-20))/(5/(-36)). Let s = -204 - 92. What is the common denominator of s/l + (-4)/(-6) and 145/6?
18
Suppose 4*z = 4*s + 356, -40*s + 266 = 3*z - 44*s. Calculate the lowest common multiple of 105 and z.
630
Let t(v) = -67*v**3 - 2*v**2 + 1. Let p be t(-1). Suppose p = -5*x + 8*x. Calculate the least common multiple of x and 16.
176
Suppose -20*v + 8*v + 216 = 0. What is the smallest common multiple of 6 and v?
18
Let f = -2 + 4. Find the common denominator of f + (-286)/48 - 8/4 and -64/15.
120
Let a = -1118 - -7853/7. Calculate the common denominator of a and -113/532.
532
Suppose 392 = 5*t - 118. Let f = 120 - t. What is the smallest common multiple of 9 and f?
18
Let y(i) = -2*i**3 + 2*i**2 - 21*i - 40. Calculate the smallest common multiple of 649 and y(-6).
6490
Suppose 2*n = 2*x + 26, 5*n - x = -2*x + 59. Suppose -16*r + 32 = -n*r. Calculate the lowest common multiple of r and 4.
8
Suppose -3*w + 36 = -24. Let t(u) = 3*u**2 - 15 - 22*u - 4*u**2 + 9*u - 13. What is the least common multiple of t(-8) and w?
60
Let b = 22747/9 + -2530. Calculate the common denominator of b and 5/18.
18
Suppose 89 - 677 = -14*f. What is the smallest common multiple of f and 30?
210
What is the common denominator of 39/10 and ((-12)/(-30))/(((-36)/(-365))/(-1))?
90
Let h be (1 - -8)*(-5 - -4). Let a = -9 - h. Suppose -2*o + o - 3*c = -14, a = o - 3*c + 10. What is the smallest common multiple of o and 10?
10
Let u(q) = q**2 + 5*q - 3. Let x = 37 + -58. Let w = x - -22. What is the lowest common multiple of w and u(-6)?
3
Suppose 28*q - 3248 = -30*q. What is the least common multiple of 49 and q?
392
Suppose -3*i - 2*i + 10 = 0, p + 5*i - 15 = 0. Calculate the common denominator of (-2)/14*45248/(-384) and (-2)/p + (-138)/55.
66
Suppose 5*t = 4*n + 1632, 0 = 52*n - 48*n + 12. What is the smallest common multiple of t and 108?
324
Suppose 8*v = 12*v - 16. Suppose -v*c = c. Suppose -4*q - q - 3*y + 50 = c, -q - 4*y + 27 = 0. What is the least common multiple of q and 9?
63
Let j = -38 + 23. Suppose 23*v - 18*v = 3*w - 435, 3*w = -3*v - 285. What is the least common multiple of 2 and v/(-12)*(-36)/j?
18
Let m(z) = z. Suppose 3*w - w + 5*q - 22 = 0, 5*q = 20. What is the lowest common multiple of m(w) and 8?
8
Let p be (0 + 1)/((-3)/(-6)). Suppose a + p*a = 27. Calculate the least common multiple of 3 - (3/(-6) + 2/4) and a.
9
Suppose 26 + 0 = 4*w - 5*h, -12 = -w + 4*h. Suppose -w*f - 61 = -157. What is the lowest common multiple of f and 12?
24
Let b = -178040/17 - -10476. Find the common denominator of -19/11 and b.
187
Calculate the smallest common multiple of 22 and (4*35/28 - 6)*-22.
22
Let y = 4723 + -75645/16. Calculate the common denominator of -21/22 and y.
176
Let y = 12 - 3. Suppose 6*o + 64 - 130 = 0. What is the smallest common multiple of y and o?
99
Let t(y) = -3*y + 4. Let d be t(3). Find the common denominator of -29/12 and (d - -8) + -1 - (-46)/(-36).
36
Suppose 44*a - 37*a - 56 = 0. What is the lowest common multiple of a and 9?
72
Let n(i) be the first derivative of -2*i**3/3 - 4*i**2 - 4*i - 2. Let b be n(-5). Find the common denominator of 97/16 and (b/24)/((-14)/(-21)).
16
Let l = 55918 - 3914377/70. Find the common denominator of l and 149/30.
210
Let j = -4112/11 - -371. Calculate the common denominator of j and 26/(-2) - (-1)/2.
22
Let b be (-36880)/48 - 1/(-3). Let g = -3796/5 - b. Find the common denominator of g and 47/43.
215
Let i(m) = 2*m - 6. Let y be i(5). Suppose -26*r + 384 + 292 = 0. What is the smallest common multiple of (y/12)/(2/12) and r?
26
Suppose -2*i + 16 = -3*p + 52, 2*p = i + 25. What is the smallest common multiple of 860 and p?
6020
Let d(h) be the third derivative of h**5/60 - h**4/12 - h**3/6 + h**2. Let x be d(-1). Calculate the least common multiple of 120/18 - x/3 and 2.
6
Suppose 5*j + 237 = 3*a + 6*j, 0 = -4*a - 3*j + 311. What is the smallest common multiple of a and 80?
80
Suppose -2*s + 17 = 3*d, 2*s + 7 = 4*d - 11. What is the least common multiple of 18 and s?
18
Suppose -3*n = 5*k + 6, 6*k = -n + 2*k - 9. Find the common denominator of n - ((-17)/(-24) - (-24)/(-16)) and -29/22.
264
Let m = -68 - -67. What is the common denominator of m*(-1 - -44)*11/99 and 47/10?
90
Suppose -4*i - i + 3*d = -63, -2*d = -4*i + 50. Let l be -3 - ((-1)/1 - 0). Calculate the smallest common multiple of 2/4*14 + l and i.
60
Let n = 23 + 22. What is the lowest common multiple of -6*(-3)/n - (-326)/10 and 63?
693
Let y(g) = -g**3 + g**2 - g - 222. Let z be y(0). Let b = -1205/6 - z. Calculate the common denominator of (-6)/21 - 85/14 and b.
42
Suppose 0 = -5*g + 5*p + 235, 7*g - 5*g + 4*p - 100 = 0. Calculate the lowest common multiple of 4 and g.
48
Let l be 25/9 + ((-260)/(-36) - 7). Suppose l*y - 5*f - 17 = 0, 5*y + 4*f - 21 = 5*f. What is the least common multiple of 8 and y?
8
Let m be 4/10*(-11133)/18. Let z be 1 + 4792/20 - 3. Let c = m + z. What is the common denominator of c and -43/6?
30
Let u(y) = -181*y + 9. Let w be u(7). Let b be -2*26582/42 - (-266)/2793. Let t = w - b. Find the common denominator of -9/4 and t.
28
Let g(z) = z**3 + 1. Let m be g(-1). Suppose 2*c - 40 + 4 = m. Let y(t) = 7*t**2 + 22*t - 16. Calculate the least common multiple of c and y(-4).
72
Let a = 4 - 1. Let g be 40510/95830 - a/7. Let c = 83589/13690 + g. Find the common denominator of c and -73/4.
20
What is the lowest common multiple of (-246)/(-41) + 142*9 and 6?
1284
Let d = -9179/4 + 2310. Suppose 0 = 4*y - 5*u - 262, 2*y - 3*u = 5*y - 183. What is the common denominator of (-158)/4*7/y and d?
36
Suppose 154 = 3*f - g, -12*f - 4*g = -11*f - 73. What is the lowest common multiple of f and 583?
583
Let p = 9656 - 36277591/3757. Let j = -379477/75140 + p. What is the common denominator of j and 0 + 0 - ((-39)/(-20) - 3)?
20
Let w = 93 - 80. What is the lowest common multiple of (-1 + (-4)/(-2))/(w/65) and 44?
220
Let t = -350 - -398. What is the lowest common multiple of 20 and t?
240
Suppose 14 = 4*t - 2. Let v = -3 + t. Calculate the smallest common multiple of v and ((-2)/4)/(-5 - (-203)/42).
3
Let x(b) = -b**2 + 48*b - 44. What is the smallest common multiple of x(47) and 57?
57
Suppose -7*j + 12*j - 3*t = 62, -2*t = 2*j - 12. Calculate the smallest common multiple of 20 and j.
20
Let g = -10831/22 - -492. What is the common denominator of -13/38 and g?
418
Let j be (138845/410)/(-7) + 2 + 0. Let p = j + -5/41. What is the common denominator of -87/4 and p?
4
Suppose -3*u = -10*u + 252. Suppose 10*b + u = 14*b. What is the smallest common multiple of b and 9?
9
Find the common denominator of 119/12 and (32/60)/(2 - 150/72).
60
Let b = -11 - -17. Suppose r = b*r - 205. Calculate the common denominator of 121/18 and r/(-10) + 4/2.
90
Suppose 3 = 2*h - 1. Suppose 25 = 4*q + 3*l, 2*q + h*l + 5 = -3*l. Calculate the common denominator of -39/2 and -3 - (837/q)/9.
10
What is the common denominator of -40/63 and (23/4)/(765/34)?
630
Let b = 19 - 8. Let z = 8 - b. What is the common denominator of 21/2 and (-13)/33*(0 + z)?
22
Let q = -20 - -7. Let x be q + (0 - 4/2). Calculate the smallest common multiple of 20 and 1 - x - 0/(-1).
80
Let p be (-2319)/(-2)*(-8)/(-6). Let d = 11331/32 + 342725/288. Let u = d - p. Calculate the common denominator of u and 83/8.
72
Let p = 1/67 - 73/402. What is the common denominator of (-22)/(-6)*(-6)/(-72) and p?
36
Suppose -12*q - 523 = -5*x - 9*q, x - 4*q - 108 = 0. Calculate the lowest common multiple of x and 1/((3/4)/3).
104
Let i = 1180 - 3733/3. Let j = 85 + i. What is the common denominator of (-2234)/(-156) - (32/52)/4 and j?
6
Suppose -60*s + 56*s + 560 = 0. Calculate the smallest common multiple of s and 80.
560
Let n = 21872392/9 - 2427505. Let h = n + -2765. Find the common denominator of 729/120 + (-8)/(-10) and h.
72
Let w be ((-10)/(-4) - 2)*-2579. Let i = w + 1254. What is the common denominator of -13/20 and i?
20
What is the common denominator of 10/5*(-23)/8 and ((-6)/(-3))/(6 - 924/142)?
36
Let c = -88228/15 + 5878. Find the common denominator of (-16)/22*(-1)/(-2) and