 -2*a**3 - 2*a**2 + 1. Calculate the lowest common multiple of l and d(v).
9
Let m(o) = -o**2 + 6*o - 2. Let u be 35/14*(-12)/15. Let z = 4 - u. What is the least common multiple of z and m(4)?
6
Let l = -1926 + 15459/8. Calculate the common denominator of ((-4)/30)/(8/(-110)) and l.
24
Let x be (-1)/(-6)*42/9. Let y = x + -10/9. What is the common denominator of -47 and y?
3
Calculate the common denominator of (-2)/3 - (-9 + 6158/672) and 51/14.
112
Let k(m) be the first derivative of 2 + 2*m**2 + 7/3*m**3 + 1/4*m**4 - 8*m. Calculate the smallest common multiple of 7 and k(-6).
28
Suppose -7*g + 12 = -3*g. Suppose -g*q - q + 10 = -3*i, -4*q + 12 = -2*i. Suppose 0 = 24*p - 57 - 327. Calculate the least common multiple of p and i.
16
Let f = 499811/1708860 + -167/570. Let a = -3999/16454605 - 2021760377381/1085279927380. Let c = a + f. Find the common denominator of c and 23/2.
22
Let a be 2/12*3 - 44358/(-40). Let s = a + -1109. Find the common denominator of -107/36 and s.
180
Suppose 0 = -2*j + j, -f - 5*j + 10 = 0. Suppose -x - 15 = -5*i, f*x - 33 = -2*i + 5*x. What is the least common multiple of (2 - 0)*2/4 and i?
4
Let y = 678 - 2057/3. Let k = 167551/14 + -11960. Calculate the common denominator of y and k.
42
Let h(v) = 36 + v - 4 + 16 - 5*v. Calculate the smallest common multiple of h(8) and 14.
112
What is the smallest common multiple of (-48 + 44)/(-2 + 1) and 10?
20
Let r(u) = -4*u - 14. Calculate the smallest common multiple of 3 and r(-10).
78
Suppose 0 = -0*s + 4*s. Let g = 10 - s. Suppose 5*d - 2*a = 15, -158*a + 154*a = 0. What is the smallest common multiple of g and d?
30
Let f = 6499 - 155921/24. Calculate the common denominator of 143/504 and f.
504
Let y(k) = 6*k**2 + 5*k - 7. Let z be y(5). Let l = 338 - z. Find the common denominator of l/(-44) + (10 - 7) and -99/20.
220
Suppose -4*k + 0*k = 32. Let a be (-2)/k - 114/(-24). Suppose 0*s + s = -a*r - 1, -4*r + 37 = 5*s. Calculate the common denominator of s and 37/6.
6
Calculate the lowest common multiple of (-4)/16 + 148/16 and 1.
9
Let c = 17137/28 - 614. What is the common denominator of c and -19/49?
196
Let n(u) = u**2 + 3. Let g be n(-3). Suppose -2*b = 3*o - o - g, 3*o = -4*b + 29. Suppose -50 = -3*v - b. Calculate the common denominator of v and -93/2.
2
Let l be 24028*-4*(-2)/16. Let k = l + -228194/19. Let q = k + 933/190. Find the common denominator of q and -39/8.
40
Let c = -642 + 657. Calculate the smallest common multiple of 6 and c.
30
What is the common denominator of -17/14 and ((-650)/(-105))/((-56)/(-98))?
42
Suppose -5 + 15 = 2*i. Suppose 28 = 2*p + i*p. What is the lowest common multiple of p and 28?
28
Suppose i - 20 = -h + 7, -i + 5*h = 3. Calculate the smallest common multiple of i and ((-18)/(-8))/((-6)/(1 + (8 - 41))).
132
Let b be 3*(-5)/360*-686. Let j = 18/29 - -410/87. Let v = j - b. Calculate the common denominator of 37/6 and v.
12
Let x = -103 - -115. Suppose -3*j + 9 = 3*c, 3*c = 2*j - 0*j - 6. Let p(t) = t**2 - t + 18. What is the smallest common multiple of x and p(c)?
36
Let d(h) = 15*h + 2. Let f be d(-1). Let b = f + 19. What is the lowest common multiple of b and 33?
66
Suppose -42 = -5*v + 2*y + 56, -3*v + 64 = 4*y. Calculate the common denominator of ((-1)/v)/((-88)/(-20)) and -9/14.
616
Let t = 129 + 797. Let q = t - 4569/5. What is the common denominator of q and (17/(-6))/(8/40)?
30
Let v be 4/(-14) - 76317/210. Let g = 363 + v. Calculate the common denominator of g and 39/8.
40
Suppose -3*n + 3*t + 105 = 0, -2*n - 3*t + 70 = -25. What is the least common multiple of 8 and n?
40
Let s = -39 + 57. What is the least common multiple of s and 18?
18
Suppose -p + 6*p = 65. Suppose -16 = p*u - 15*u. Calculate the lowest common multiple of 4 and u.
8
Let q = 54/167 - 11773/58617. Find the common denominator of 1/312 and q.
2808
Calculate the common denominator of 2/7 and -8 - ((-963)/(-37))/(-3).
259
Let p(i) = i + 8. Let l be p(-5). Suppose l*t + 42 = -0*t. Let s = t - -19. What is the least common multiple of s and 7?
35
Let t = 29/70 + 1473/35. Calculate the common denominator of (-3588)/(-286) + 3*-3 and t.
22
Let w(l) = 57*l**2 - 3*l + 4. Let t be w(1). Let g = -52 + t. Calculate the lowest common multiple of g and 4.
12
Let a = -2863/3120 - -57/130. Find the common denominator of 73/54 and a.
432
Let w(h) be the second derivative of h**3/6 + 4*h**2 + 3*h. Let x be w(-6). Suppose 0 = 2*u + x*u - 80. Calculate the least common multiple of 10 and u.
20
Let d be -10*-2094*(-1)/4. Calculate the common denominator of 2/(2020/d) - -5 and -53/20.
2020
Let f = -4 - -7. Calculate the lowest common multiple of 4/(-18) + ((-584)/(-36) - 12) and f.
12
Suppose 0 = 4*z - 3*a + 2*a - 117, 3*z + a - 93 = 0. What is the lowest common multiple of 78 and z?
390
Suppose 3*o + 19*k = 15*k + 990, 4*o + 2*k - 1330 = 0. What is the lowest common multiple of 8 and o?
1336
Suppose -5*w - 203 - 299 = 2*q, 4*w = 3*q - 397. What is the lowest common multiple of w/(-125)*(26 + 2/(-2)) and 24?
120
Suppose -14 = 2*h - 30. Let y be 2*(-2)/8*0. Suppose o - 5 = y, 0 = 3*s - 3*o - 15 - 12. What is the smallest common multiple of s and h?
56
Let h be (1 + 21/(-19))*-3. Let q = 867/38 - h. What is the common denominator of q and -33/14?
14
Let c = 51 + -29. Suppose 3*w - 22 = 4*r, 15 + 13 = 4*w - 5*r. Suppose -j = w - c. Calculate the smallest common multiple of j and 18.
180
Let i = -1052868/649 + 2506/59. Let t = 1578 + i. Find the common denominator of t and 41/9.
99
Let j(n) = n**2 - 4*n + 21. What is the least common multiple of 48 and j(9)?
528
Let q = 13991/28 - 501. Let u be 6 - 6 - (1 - -1). Find the common denominator of q and u/12*4*-37.
84
Let c(n) = -2*n + 1. Let w(l) = -l**2 - 10*l - 7. Let t be w(-9). Let v be c(t). Find the common denominator of 33/16 and (-2)/(v + (-301)/(-107)).
80
Let a be 191/(-140)*(-1 - 0). Let t = a + 87/20. Find the common denominator of t and (-3)/(-45)*11*9.
35
Let v(i) = -i**3 - 13*i**2 - 23*i + 9. Let z be v(-11). Suppose 2*o + 4*k + z = 5*o, 0 = 5*o + 4*k - 76. Calculate the smallest common multiple of 36 and o.
36
Suppose 46 = 39*l - 71. What is the least common multiple of 3 and l?
3
Let o be (1 + -2)*-4*1 - 0. Calculate the common denominator of 33/(-440)*o/6 + 4 and 71/70.
140
Let o(s) = -5412*s - 10. Let r be o(1). Let q = 368649/68 + r. Find the common denominator of 53/8 and q.
136
Let z = -19/732 + -16901/2196. Calculate the common denominator of ((-15)/(-24))/((-27)/348) and z.
18
Let l = -543 + 765. Suppose l + 66 = 3*n. Suppose 0 = 4*t + f - n, -4*f + 24 = 2*t - t. What is the lowest common multiple of 18 and t?
72
Let j(g) = g**2 - 8*g - 5. Let x be j(9). Let l = x + -38. Let s = l + 52. Calculate the least common multiple of 10 and s.
90
Let u(r) = -7*r - 62. Calculate the lowest common multiple of 4 and u(-11).
60
Calculate the common denominator of (2/7 - 16/42) + (-9944)/(-2541) and (1 - 0)/(3/(-24)).
11
Let w = -1568 - -1588. Let u be (12/10)/((-2)/(-5)). Let o(m) = 7*m - 3. Calculate the smallest common multiple of o(u) and w.
180
Let o be (2/(-1 - -2) - 1)*-9. Suppose -3*g + 5*j - 80 = 2*g, 0 = -4*g - 2*j - 94. Let b = o - g. What is the lowest common multiple of 14 and b?
84
Suppose 0 = -3646*f + 3636*f + 140. Suppose -23 = -5*w + g + 2*g, w = 5*g + 9. What is the least common multiple of f and w?
28
Suppose -2*i = -54 - 6. Let m(g) = g**3 - 6*g**2 - g + 8. Calculate the smallest common multiple of i and m(6).
30
Suppose 7*t + 160 - 391 = 0. What is the lowest common multiple of 66 and t?
66
Let j = -11 - -15. Suppose -8*w + j*w = 4*b + 16, -5*w = -3*b - 12. Suppose k + 1 - 3 = w. Calculate the lowest common multiple of k and 8.
8
Let d(i) = -4*i**2 - 11*i + 5. Let o(z) = -2*z**2 - 5*z + 2. Let a(f) = 6*d(f) - 14*o(f). Let q = 24 + -12. What is the least common multiple of q and a(-2)?
60
Suppose -16*n + 21*n = 430. What is the smallest common multiple of 7 and 1/(-3) + n/6?
14
Let a be (-14)/(-4) - (-1)/2. Calculate the common denominator of 264/90*6/a and 103/10.
10
Let n = -78734 - -259271059/3293. Let k = 2/10198162907 + -5003983584431741/201495302716506. Let l = k - n. Find the common denominator of -89/15 and l.
30
Suppose 0 = 2*r - 2 - 4. Suppose -r*g = -3*z + g + 18, -5*g + 45 = 3*z. Supp