*3 + 20*z**2 - 22*z - 14. Let j be b(-21). Suppose -21 - 14 = -j*i. What is the smallest common multiple of i and 3?
15
Suppose 5*j = 14*c - 13*c + 330, -4*c = 2*j - 110. Calculate the least common multiple of 78 and j.
390
Let p = -90 - -37. Let v = -209/4 - p. Calculate the common denominator of v and 57/46.
92
Suppose -70 = -5*d + 5*q, -4*q = 14*d - 17*d + 46. What is the lowest common multiple of d and 20?
20
Suppose 5*t = 2*f + t - 22, 5*f - 22 = -t. Suppose 4*u = f*v + 255, -u + 4*v - 3 = -75. Find the common denominator of 11/20 and (58/48)/((-9)/u).
180
Let q(w) = -38*w + 29. Calculate the least common multiple of q(-3) and 143.
143
Let o(w) be the first derivative of 1/4*w**4 + 7 + w**2 + 2*w**3 - w. What is the least common multiple of 20 and o(-5)?
140
Let o(n) = -n**3 + n**2 + 10*n - 1. Calculate the lowest common multiple of 100 and o(-3).
100
Suppose 0 = -3*l - 4*b + 344, 4*b = 4*l + 2*b - 444. What is the lowest common multiple of 49 and l?
784
Calculate the common denominator of 145/42 and 1*((-4000)/(-165))/10.
462
Let l(n) = n - 6. Suppose -2*j + 12 = -2. Suppose 27 = 10*b - 13. What is the least common multiple of b and l(j)?
4
Suppose 15 = -t - 16. Suppose 32*s = 28*s + r + 7, 1 = 2*s - r. Let u = s - t. Calculate the least common multiple of u and 2.
34
What is the common denominator of -145/36 and (-1265)/(-1089) + 1*(-2)/4?
396
Let f = -1427/6 - -3787/3. Let k = 990 - f. Suppose 18 = 3*d - 36. Calculate the common denominator of d and k.
2
Let w(t) = t**3 + 4*t**2 - 4*t - 6. Let o be w(-4). Let r = 1 + o. What is the smallest common multiple of (-6)/9*21/(-2) and r?
77
Let s = -16 + 13. Let n be (s - -2)/(2/(-24)). What is the common denominator of 17/22 and (-1)/n*(-3 - -4)?
132
What is the common denominator of 103/10 and (-10)/(-5) - 4 - 92/(-8)?
10
Suppose -3*c = -a - 29, -a + 1 + 24 = 3*c. Let o = 26 + -31. Let d = o + c. Calculate the smallest common multiple of d and 6.
12
Let c(s) = 10*s + 8. Let j be c(-5). Let d = 3 - 7. Calculate the common denominator of -14/5 and (j/45)/(d/(-6)).
5
Suppose 5*n = -5*x + 100, 8*n = 3*n - 3*x + 90. Calculate the least common multiple of 50 and n.
150
Suppose 5*s = 3*o - 237 + 27, 3*s + 4*o = -155. What is the common denominator of 2*3/20*s/6 and -17/6?
12
Let a = 11697/10 + -1159. Find the common denominator of a and (-2)/(-8)*(175/(-40) - 3).
160
Let p be (-6)/(-2) - (-23)/(-1). Let w = p + 64. Suppose -w = -5*f - 4*s + 2*s, -16 = -3*f + 4*s. Calculate the lowest common multiple of f and 4.
8
Let h(p) = p**3 - 4*p**2 - 5*p + 1. Let x(a) = a**2 - 2*a + 5. Let q be x(2). What is the least common multiple of h(q) and (-4)/10*(-8 + -2)?
4
Calculate the lowest common multiple of 40 and 106/(-8)*-8 + -6.
200
Let h = -13 - -19. Let a = h - 4. Let w = 20 + -10. Calculate the lowest common multiple of w and a.
10
Let u = -17 - -20. Let t be 1/3 + 59/u. Calculate the common denominator of ((-4)/t)/((-24)/730) and 3/14.
84
Let z = -2709 + 8183/3. Let h be 2/(-7) + 84146/9968. Let f = h + -25/89. Calculate the common denominator of f and z.
24
Let f = -634361141/20 + 31724353. Let x = 7881 + -14174. Let t = f + x. What is the common denominator of 57/16 and t?
80
Let x = 14 + -202. Calculate the common denominator of (-1)/(-4) - (-153)/20 and ((-3)/8)/(12/x).
40
Calculate the lowest common multiple of 50 and (-1)/(-8) + 25155/360.
350
Let o = 4/829 + -65571/16580. Calculate the common denominator of -73/108 and o.
540
Let v be ((-12)/10)/((-16)/40). Suppose -5*k + 70 = 5*t, -5*t - 40 = -4*k - 128. What is the least common multiple of t and (40/(-15) + v)*36?
48
Find the common denominator of (-2 - (-98)/(-24))*(-15)/25 and -1/16.
80
Suppose -l + 4*l + 3*m = 3, 2*l - 8 = 4*m. Calculate the lowest common multiple of 138 and l.
138
Let x(y) = -201*y**2 + y + 2. Let j be x(-1). Calculate the common denominator of -37/16 and (-3 - -6)/(j/65).
80
Let m be (-1)/(-2) - 26/(-4). Let o = m + 3. Suppose -18 = -22*i + 98 + 368. Calculate the smallest common multiple of o and i.
110
Let s(j) = -j**3 - 2*j**2 + 8. Let h be s(0). Suppose h*b - 5 = 3*b. What is the common denominator of 7/(-11) + b + 1 and 39?
11
Calculate the common denominator of 5/14 and -28 + 22 - (-3190)/524.
1834
Let q(m) = -21*m**2 + 10*m + 22*m**2 + 12 - 6*m + 9*m. Let d be q(-12). Let c(l) = -l**3 - l + 1. What is the lowest common multiple of 1 and c(d)?
1
Let k = 203143/2293460 + -1/8821. What is the common denominator of -15/104 and k?
520
Suppose 6*v = 4*v + 4*o - 78, 4*v + 4*o + 204 = 0. Let d = -6907/2442 + -2/407. Find the common denominator of v and d.
6
Suppose -3*a = -2*c - 79, 5*a - a = 2*c + 108. What is the least common multiple of (a - -1)*(-1)/(15/(-10)) and 36?
180
Suppose -4*q - 3*w = -51, -q + 5*w = 2*q - 31. Let l be 1 - 9/(-4) - 11/44. What is the least common multiple of (11/1)/(l/6) and q?
132
Let a = -1152 + 8049/7. What is the common denominator of -24/109 and a?
763
Suppose 5*h = 5*u - 2*u - 55, 3*u = -5*h + 5. Calculate the lowest common multiple of u and 24.
120
Let a(o) = -2*o**2 + 15*o - 5. Let n be a(7). Suppose l + 57 = 5*s, 5 - n = l. What is the lowest common multiple of 15 and s?
60
Let x = 896/283 - 194757/70184. Find the common denominator of x and 95/8.
248
Let s = -1397057/2072 - -4720/7. What is the common denominator of -41/18 and s?
2664
Suppose 14*g - 681 = -569. Suppose 4*u - 53 + 17 = 0. Calculate the smallest common multiple of u and g.
72
Suppose -4*m + 40 = -9*m. Calculate the smallest common multiple of (m*(-2)/4*2)/2 and 10.
20
What is the common denominator of -119/130 and (388/78)/(13/(117/(-24)))?
260
Let g be ((-4)/(-1230))/(8/21786). Let u = 10/41 + g. Let l = 295/2 - 992/7. What is the common denominator of u and l?
70
Let o = 366 + -339. Calculate the least common multiple of o and 72.
216
Suppose 2716 - 812 = 8*b. Calculate the smallest common multiple of b and 14.
238
Let b(x) = -12*x**3 + 1. Let p be (-5)/(-2) - 0 - (-3)/(-2). Calculate the common denominator of -11*(-1 + (2 - 2))/p and b(-1).
1
Let o = -30/112067 + -138173091/20620328. Let y = o - -387/23. Let f = 1116/95 - 17/38. Calculate the common denominator of y and f.
40
Suppose 2*g = -g - 2*s - 333, 4*g + 444 = 4*s. Calculate the common denominator of 1/(-5)*-5 + g/16 and 65/22.
176
Let d(g) = -109*g + 10. Calculate the lowest common multiple of d(0) and 158.
790
Let o = -517 - -529. Calculate the least common multiple of o and 88.
264
Suppose -3*h + 464 + 223 = 0. Let d = 3925/7 + -172539/308. What is the common denominator of 5/25 - h/20 and d?
44
Let s = -22 + 24. Suppose 7*d - s*d + 40 = 0. Calculate the common denominator of 44/3 and 110/d*(-12)/18.
6
Calculate the common denominator of 24/77 and (5 - 24/4)/((-63)/71).
693
Suppose -q - 2*q = 2*n + 11, 4*n = 4*q - 12. What is the least common multiple of 2/4 - (63/(-2) + q) and 15?
165
Let b = 28318528 - 27638886627/976. Let z = b - 34/61. What is the common denominator of -99/10 and z?
80
Let t(q) = -9*q - 180. Calculate the smallest common multiple of t(-28) and 288.
288
Let s = 863 - 20729/24. Find the common denominator of s and -39/88.
264
Calculate the common denominator of -88/15 and (4 + 0)/2 + 408/(-90).
15
Calculate the common denominator of 39/5 and (12/464)/((-3)/(-130)).
290
Let l be 280/12 - (-4)/6. Let f be (-5 - -3) + 121707/l. Let r = f - 5059. Find the common denominator of 65/8 and r.
8
Calculate the common denominator of (-326)/56 + -5 - (-24)/42 and 13/10.
20
Let o = -1519/80 - -84/5. What is the common denominator of o and 1/188?
752
Let o = 52 + -10. Calculate the common denominator of -49/3 and o.
3
Let c = 719 + -713. Let r = -5 - -7. Calculate the smallest common multiple of r and c.
6
Let q be ((-6212)/(-28))/(12/266). Let o = -4941 + q. What is the common denominator of o and -29/3?
6
Suppose 32*m + 1358 = 46*m. Calculate the least common multiple of m and 8.
776
Let b be (-6)/(-4)*(-152)/(-57). Find the common denominator of 55/12 and (-15)/b*-2*(-38)/(-6).
12
Let j = -68 + 60. Let z = 13 - j. Calculate the smallest common multiple of 12 and z.
84
Suppose 0*w = 3*w - 1260. Let z = -10021/1494 + 91/83. Find the common denominator of 2097/w - 2/14 and z.
180
Let h be 3*4 + -1*2. Suppose -b = -6*b + h, 2*c + b = 34. Let y(q) = 