e 0 = -4*x - 81 + 9. Let y(p) = -p. Let l(j) = x*y(j) + 2*n(j). What is the smallest common multiple of 10 and l(-7)?
10
Let w = -2/2762493 - 295576631/13978214580. Find the common denominator of w and 89/690.
15180
Let f be ((-150369)/(-15))/(4 + -26 + 1). Let u = 477 + f. What is the common denominator of (-3 - 52/(-88))*-2 and u?
1155
Let q = -3626/25 + 144. Let a = 79/525 - q. Calculate the common denominator of a and (4/(-38))/(62016/(-932824)).
84
Let z(y) = 34*y - 4. Let a = 118 + -116. Let i be z(a). Suppose 4*x - 2*j + i = 8*x, -3*x - j + 50 = 0. Calculate the lowest common multiple of x and 16.
144
Suppose -u - 3*u + 1128 = 0. Calculate the lowest common multiple of u and 45 - (-1 - -69 - 35).
564
Suppose 14*a - 118 = 12*a - 3*h, -4*h + 16 = 0. Let n = 15 - 8. Calculate the lowest common multiple of n and a.
371
Suppose -16 = 2*l + 12. Let q(m) = -4 - 5 + 15167*m + 3 + m**2 - 15154*m. What is the least common multiple of 9 and q(l)?
72
Suppose 4*f - 31 = -3*z, -11 = -5*z + 4*z - 2*f. Let j = 1278 - 117. Let w = -1151 + j. What is the least common multiple of w and z?
90
Let q be (-3 - 6) + 297899/41580. Let y = -436/547 - -148090/162459. Let z = y - q. What is the common denominator of z and -5/16?
80
Let n(z) = -114*z + 57*z + z**3 + 8*z**2 + 57*z + 8. Let b be n(-8). Calculate the lowest common multiple of 12/b*(-200)/(-15) and 1.
20
Let a = -31453 - -8366549/266. What is the common denominator of -95/336 and a?
6384
Suppose 265*c - 11956 = 69*c. What is the smallest common multiple of 183 and c?
183
Let u be 7076/(-560) - 3/((-84)/8). Let x = u + 3643/180. Find the common denominator of -53/7 and x.
63
Let h be (-16)/48*(-2 - 65344). Let f = h + -4770211/219. Calculate the common denominator of 48/11 and f.
2409
Let d = -7 - -13. Let w(z) = -z**3 + 6*z**2 + 7*z - 2. Suppose 0 = -190*b + 4579 - 565 + 546. What is the lowest common multiple of b and w(d)?
120
Suppose 22*p - 8*p = -3920. What is the common denominator of (-6)/14 + 1214*2/p and 37/45?
90
Let i be (-148)/16 + 6/(-8). What is the common denominator of (i/(-4))/(-1 + 66/42) and 1/112?
112
Suppose -57*o - 18027 + 66438 + 120879 = 0. What is the lowest common multiple of o and 90?
2970
Let c be (-3)/(-9)*(-945)/(-3). Let q = 109 - c. Suppose 0*b = -3*b + 60. What is the least common multiple of b and q?
20
Suppose 0 = -4*d - 3*s + 60, 0*d + 44 = 4*d - s. Let g = 51 + -24. Let c = 35 - g. What is the smallest common multiple of c and d?
24
Let p = 820/60290959 - -1225915904883911/13866920570. Let c = p - 88406. Find the common denominator of -43/18 and c.
2070
Let v = -692/21 + 3541/168. Calculate the common denominator of v and 89/480.
480
Let v be 26 - ((-51)/(-34))/((-1)/(-2)). Suppose -v*c + 44 = -c. What is the lowest common multiple of c and 80?
80
Let d(m) = 896*m - 83274. Suppose -3*s + 80 = 5*h, 48 = h + 2*h - 3*s. What is the lowest common multiple of d(93) and h?
432
Let h(m) = -2*m**2 - 106*m + 116. Let c be h(-54). Suppose -1 = -t + 3*r, -13*r + 9*r - c = -3*t. Calculate the lowest common multiple of t and 2/7 - 708/(-21).
68
Let b(n) = -3*n**3 + 20*n**2 + 10*n - 19. Suppose -3 = -3*a + 2*a, -2*m = 5*a - 13. What is the least common multiple of b(7) and m + 3 + 3 + -3?
2
Suppose 9*r - 9 = 3*s + 14*r, -4*s + r = 12. Find the common denominator of 7/87 and s*177/(-27) + -6.
87
Calculate the common denominator of 73/20 and -118*(-1)/24*8/20.
60
Let w = 49 + -19. Suppose -2*k = v - w, v + 34 = 2*v + 3*k. Let j = 2382 + -2370. Calculate the lowest common multiple of v and j.
132
Suppose y + 235 = 2*z, 6*z + 5*y + 50 = 779. Calculate the smallest common multiple of z and 4.
476
Calculate the common denominator of 41/10 and 3/414*-118 - 10/(-115).
690
Let k = 248 - 226. Suppose -216 = -0*r - 4*r. Calculate the lowest common multiple of k and (28/12 - 2)*r.
198
Let v = -53 + 53. Let f be 5/(15/18) + (4 - v). What is the common denominator of 1/f*322/28 and -23/16?
80
Suppose r + 3*o = 2 + 13, 6 = 2*o. Let v(j) = -2*j**2 + 206*j - 970. What is the least common multiple of v(98) and r?
30
Suppose -2*o - 4*m + 6904 = 0, -3*m - 3603 = -o - 156. Calculate the lowest common multiple of 300 and o.
6900
Calculate the common denominator of -14 - -6 - (-2)/((-10960)/(-43942)) and -34/7.
19180
Let o = 12443/57760 - -6/1805. Calculate the common denominator of -3 + (55/(-8))/(-5) and o.
32
Suppose 0 = 150*n - 159*n - 102 + 408. Let p = 83 + -45. What is the least common multiple of p and n?
646
Suppose -3*o = -5*d - 174, 0 = -5*d - 4*o + 67 - 255. Find the common denominator of 51/20 and (129/430)/(d/(-770)).
60
Let g = -2276 - -2308. Calculate the least common multiple of g and 1.
32
Let z = 1065 + -523. Let k = -37355631/69190 + -5/6919. Let y = z + k. Find the common denominator of y and 15.
10
Let p be (-3)/(15/20) - -12. What is the common denominator of -47/59 and (213/81)/(p + (-75)/9)?
531
Let q(h) be the first derivative of 1/4*h**4 - 11*h - 4*h**3 + 15/2*h**2 + 25. What is the least common multiple of q(11) and 18?
198
Let l be 1654/(-8) - (-43)/(-172). Find the common denominator of -73/40 and l/1380*(0 + (-70)/12).
40
Suppose -9 = -6*s + 9. Suppose -4*p - 3*v + 19 = -148, 101 = 2*p + 5*v. Let t = p + -31. Calculate the smallest common multiple of s and t.
21
Suppose -25*o + 23*o = -8. What is the lowest common multiple of o and 3338?
6676
Suppose -2*f - 1 = 3*s - 173, s = -4*f + 64. What is the smallest common multiple of 1022 and s?
4088
Suppose -3*q + d = -28, 22 + 10 = 4*q + 4*d. Suppose -q*u = 22*u - 682. What is the lowest common multiple of 12 and u?
132
Let y = 132788/15 - 8858. What is the common denominator of y and 29/210?
210
Let k = 479/84 + -129/28. Let y = -89/2964 + -3/52. What is the common denominator of k and y?
399
Suppose z = 6*z - 180. Suppose -160*s - 85*s = -4410. Calculate the smallest common multiple of z and s.
36
Let o(t) = t**3 - 6*t**2 - 6*t + 10. Let w(x) = -x**2 + 1. Let l(z) = o(z) - 3*w(z). Let r = -350 + 359. Calculate the least common multiple of l(5) and r.
27
Let p = 7842 - 439175/56. What is the common denominator of (-538)/(-210) + -33*(-57)/(-627) and p?
840
Suppose -2*a - 143 = 5*l - 208, -1 = -l + 2*a. Calculate the least common multiple of l and 9.
99
Let j(f) = -7 + 6 - 23 - f - 4. Let z be j(16). Calculate the common denominator of 23/8 and -8*(2 - (-86)/z).
88
Suppose 2649 + 592 = 7*s. Suppose -431 + s = 4*h. What is the smallest common multiple of 32 and h?
32
Calculate the common denominator of 558/28*(-2)/(-15)*1/58 and 13/10.
2030
Let j be -3 + (-2)/(((-4)/14)/1). Let n be (j/192)/(75/369). Let d = n - 1/25. Calculate the common denominator of 51/20 and d.
80
Suppose -2151 = -3*j + 5*y - 276, 5*j = -5*y + 3165. Find the common denominator of 43/90 and ((-14)/j)/(6/15).
90
Suppose 13*b = -3*b + 6848. Let h be -3 - b/1*138/120. Let z = 22484/45 + h. Find the common denominator of 83/24 and z.
72
Let l = -15 - -17. Let z be 22106/56 - (-2 + l + 0). Let r = z + -7653/20. Find the common denominator of -51/10 and r.
10
Let q = -15260 - -15830. What is the lowest common multiple of q and 9?
1710
Let i = 13 + -2. Calculate the least common multiple of i and (-2048)/(-68) + (-1)/(-51)*-6.
330
Suppose 8*z = -4 + 60. Calculate the common denominator of 93/50 and ((-106)/(-150))/(z*(-14)/(-147)).
50
Suppose 7*l + 3*l = -570. Let s be (-19)/l - (-356623)/96. Let j = s - 3717. Calculate the common denominator of j and 89/40.
160
Let z = 89/4 - 10. Calculate the common denominator of 43/620 and z.
620
Let m = 14799643/420 + -35237. What is the common denominator of m and -43/756?
3780
Suppose -149 + 9 = -7*r. Let u(z) = -z**2 + 11*z - 4. Let d be u(8). Suppose o + d - 70 = 0. Calculate the smallest common multiple of o and r.
100
Let i = 181212 - 306880. Let o = 15080341/120 + i. What is the common denominator of 3/8 and o?
120
Let g = 5421/5840 - 248/219. Find the common denominator of -107/100 and g.
1200
Let p(q) = q**3 + 3*q**2 - 8*q - 37. Let f be p(-4). Calculate the common denominator of -69/100 and (f/28*278)/9.
300
Let y = 345 + -399. Find the common denominator of 4/(-2) + y/(-25) and 163/30.
150
Let p = -2612706/7025 + 63069833407/1559550. Let g = -40069 + p. Find the common denominator of g and 7/8.
888
Let v(r) = -r