ve of y**4/12 + y**2/2 + 2. Let v(k) be the second derivative of q(k). Calculate the smallest common multiple of v(2) and 12.
12
Let r(k) = k + 4. Let q(m) = -2*m - 8. Let x(n) = 4*q(n) + 7*r(n). What is the smallest common multiple of -6 + 4 - 12/(-1) and x(-5)?
10
Calculate the common denominator of -58/9 and 13/(-26) + (-34)/3.
18
Let s = -159577/1515 + 316/3. Let a = s + 2827/505. What is the common denominator of a and 5/4?
20
Let u be (-1)/4*31 - 2. Let d = u - -69/4. Let p = 813/85 + -98/17. Find the common denominator of p and d.
10
Let m = -87 + 102. What is the least common multiple of 27 and m?
135
Let d = 120593/58 - 2080. Calculate the common denominator of 47/6 and d.
174
Suppose 5*y - 2*y - 60 = 0. Suppose 7*u - 204 = -10*u. Calculate the lowest common multiple of u and y.
60
Let x = -2/27876563 - -174155025997/55753126. Let d = x + -3122. Calculate the common denominator of d and (25/21)/((-4)/6).
154
Let r be (1 - 3) + 18670/11. Let t = 1699 - r. Let h = 3637/6 - 583. Calculate the common denominator of h and t.
66
Suppose -5*m = 4*o + 60, -13 - 10 = 3*m + 5*o. Let l = m - -24. Calculate the least common multiple of l and 9.
72
Let x(f) = 7*f - 7. Suppose 3*r = 7*r - 32. What is the lowest common multiple of r and x(3)?
56
Let v = -1216 + 9799/8. What is the common denominator of v and 73/12?
24
Let c(k) = k**2 + 6*k + 4. Let g(a) = a - 4. Let x(f) = -f + 3. Let n(o) = -3*g(o) - 4*x(o). What is the lowest common multiple of c(-6) and n(6)?
12
Let h be -1 + 4/(12/(-27)). Let v = 6 + h. What is the common denominator of v/18*657/24 and -97/10?
60
Let s(g) = 6*g - 2. Let j(p) = -4*p - 39. What is the lowest common multiple of j(-11) and s(2)?
10
Let i = 32063/1210 + 1/605. Find the common denominator of (31/(-60))/((-2)/6) and i.
20
Suppose -10 = -5*z + 4*a, -2*a = 2*z + 1 + 13. What is the smallest common multiple of 20 and (1/(2/(-8)))/z?
20
Let k(j) = -j + 1. Let p be k(3). Suppose -3*l + 31 = -z, 2*z = 2*l - 24 + 6. Calculate the smallest common multiple of l and 6/3*p/(-4).
11
Let g = -2 + 17. Suppose g = -3*v, 2*v = 4*f - 3*v - 65. Calculate the lowest common multiple of f and 11.
110
Let x = -621/2 + 5479/18. Calculate the common denominator of -1/3 and x.
9
Suppose 0 = -0*p + 5*p - 110. What is the smallest common multiple of 6 + 2 - (2 + 0) and p?
66
Suppose -4*u + 8*u = 88. Suppose 3*q = 8 + 40. What is the smallest common multiple of q and u?
176
Let s be (6/9)/((-8)/(-84)). Let q = s + 2. Suppose 31 = 2*g - q. What is the least common multiple of g and 10?
20
Suppose 0 = -2*f - 3*f - 15, 1 = -2*q - 3*f. Let a(b) = -b + 10. Calculate the smallest common multiple of q and a(0).
20
Let p = -4 - -16. Find the common denominator of (-111)/p + 0 + -1 and (-1)/(-4) - 87/(-16).
16
Let d = 1263012 - -927282. Let q = d + -792890737/362. Let g = q + 3/905. Find the common denominator of g and -26/11.
110
Suppose 3*b = 8*b - 45. Suppose 5*t - 35 = l, t + 14 - 5 = -3*l. Calculate the smallest common multiple of t and b.
18
Calculate the common denominator of (-301)/(-35)*(-10)/(-12) and -9/5.
30
Let d(a) = 7*a**3 + 1. Let c be d(1). Suppose -5*i + c = -3*i. What is the smallest common multiple of i and 8?
8
Let g = -52 + 78. Let p = g + -20. What is the smallest common multiple of p and 6?
6
Suppose -6*b = -b - 70. Let c(l) = -3*l - 12. What is the lowest common multiple of c(-6) and b?
42
What is the common denominator of 35/9 and 1/1 + 74/16?
72
Let s = 1 + 6. Let u(f) = 13*f**2 + 1. Let m be u(1). Calculate the common denominator of 9/14 and ((-30)/m)/((-8)/s).
56
Suppose 2*p = -3*p - 50. Let l = p + 6. Let r = 2 - l. What is the smallest common multiple of r and 4?
12
Let o = 391789/5 - 2249219/30. Let z = o + -3376. Find the common denominator of -51/7 and z.
42
Let n = -110835/14 + 7924. Find the common denominator of -79/14 and n.
14
Let w = -1 - -24. Suppose 0 + 2 = 2*g, -4*u + w = -g. What is the lowest common multiple of 22 and u?
66
Suppose 5*s + 8 + 206 = 3*o, -3*o - 94 = 2*s. Find the common denominator of 16/5 and 0 + -1 + s/(-40).
10
Suppose 0 = -2*b - t + 4, b + t - 7 = -4*b. Calculate the smallest common multiple of b and 3.
3
Let l(u) = 2*u - 10. What is the lowest common multiple of 10 and l(7)?
20
Calculate the least common multiple of 4 and (-9)/(-1)*(-12)/(-9).
12
Suppose -5*d = a + 18, -5*a - d + 2*d = -14. Suppose -4*o + 606 = -z, -4*z + 594 = -5*z - a*o. Find the common denominator of z/60 + (-4)/(-6) and -3/8.
40
Let g = 256 - 5342/21. Calculate the common denominator of g and -89/18.
126
Let l be 4/3*(-270)/4. Let a = -33 - l. Calculate the common denominator of 19/18 and 1*(-3)/48*a.
144
Suppose -3*a = -41 - 25. Let j(v) = 8*v - 4. Suppose q - 6*q + 15 = 0. What is the least common multiple of j(q) and a?
220
Let n = 1978/9 + -287933/1314. Calculate the common denominator of n and 27/16.
1168
Suppose -z + 3*o + 17 = 0, -o - 6 = -1. Suppose -z*b - b - 4*t = -38, -4 = t. What is the lowest common multiple of b and 8?
72
Suppose 20 = 3*r + r. Let i(t) = -4*t. Let y(h) = 7*h - 1. Let d(w) = 5*i(w) + 3*y(w). Calculate the smallest common multiple of 10 and d(r).
10
Let u = 1709/270 - -37/27. Calculate the common denominator of u and -17/14.
70
Let c = -196 - -383/2. Calculate the common denominator of 6 + (-32)/6 + (-226)/12 and c.
6
Let f(h) = h. Let v be f(5). Suppose v*r - 5*q = 40, -4*r + 5*r = -q + 2. Suppose -r*x + 44 = -x. What is the lowest common multiple of 11 and x?
11
Let c(i) = 5*i + 108. Calculate the least common multiple of c(-21) and 69.
69
Calculate the smallest common multiple of 2 and 24*(-2 - (-21)/9).
8
Suppose 0 = -0*y - 2*y + 4. Suppose 0 = -y*c + 2. What is the lowest common multiple of 1 and c?
1
Let w be ((-1)/(-4) - 1)*-8. Let g = w + 1. Let d = 40 + -32. What is the smallest common multiple of d and g?
56
Let b = 36 + -63. Let p = 45 + b. What is the lowest common multiple of p and 18?
18
Calculate the least common multiple of 4 and -1*4*10/(-4).
20
Suppose 0*n - 5 = 5*n. What is the common denominator of (-206)/(-20) + n/1 and 99/8?
40
Let d = 490 + -2951/6. What is the common denominator of (183/189 - 1) + 2/14 and d?
18
Find the common denominator of (-6 - 2) + 3 - (-61)/11 and ((-2)/20)/((-2)/(-43)).
220
Let j = 1143 + -4635/4. Calculate the common denominator of j and 63/2.
4
Let n = -70218076089/14383993780 - 12/7120789. Let k = 62913 + -6354129/101. Let x = n + k. Calculate the common denominator of x and -33/2.
20
Suppose 3*o + o + 4*i = -2500, 3*i + 1249 = -2*o. Let u = o + 5069/8. What is the common denominator of u and (546/(-16))/((-33)/44)?
8
Find the common denominator of 41/16 and -5*(3 + 171/(-50)).
80
Suppose b - 14 = -2*r, -2*b + 5*r - 27 = -10. Suppose o + 9 = 3*l - 2*l, -75 = -5*l - 5*o. What is the common denominator of -11/9 and 0/b + l/14?
63
Let t be 54/45*3*50. Find the common denominator of 69/4 and 1598/t - 12/(-54).
20
Let k = -1603 + 17620/11. What is the common denominator of 1 + 1 - 45/8 and k?
88
Calculate the least common multiple of 4 and (-1)/5 + 462/35 + -3.
20
Let i(t) = -6*t - 2. Let u = 60 + -7. Let h = -31 + u. What is the smallest common multiple of i(-3) and h?
176
Let i = -190781272411/4842 - -39401329. Let y = -30/269 - i. What is the common denominator of y and (-81)/(-6) - (0 + -2)?
18
Let m(r) be the second derivative of -r**4/12 - 3*r**3/2 + r**2 - r. Let x be 51/(-7) + 20/70. Calculate the least common multiple of m(x) and 18.
144
Let x(h) = -h**2 + 7*h + 2. Suppose -3*b + 10 = 2*b, 0 = -3*m - 3*b + 18. Suppose 0*v - m = -v. What is the least common multiple of x(6) and v?
8
Suppose -3*w - 4*q + 47 = 0, 8*w - 3*q - 30 = 3*w. What is the lowest common multiple of 9 and w?
9
Suppose -4 + 1 = -3*s. Suppose -r - s = -3. Calculate the least common multiple of r and 11.
22
Calculate the common denominator of (-4 - 142)*(-1)/(-6) and 113/24.
24
Calculate the common denominator of 654/27*(-6)/(-8) and 43/34.
102
Let u = -4 + 16. Let a = 18 - u. What is the least common multiple of a and 1?
6
Let v = -20306575/12 - -1680017. Let d = v + 12189. What is the common denominator of 29/20 and d?
60
Let r(p) = 22*p**2 - 3*p - 2. Calculate the least common multiple of r(-1) and 2.
46
Let x = 15 + 4. Suppose -3*p - x = -4*r - 4, -4*p + 8 = 4*r.