 be the second derivative of 0 - 1/2*i**2 - u*i - 1/3*i**3 - 1/12*i**4. Let h(d) = 0. What is d?
-1
Let d(f) be the second derivative of -2*f + 0 + f**3 + 1/14*f**7 + 0*f**2 + 27/20*f**5 - 7/4*f**4 - 1/2*f**6. Factor d(a).
3*a*(a - 2)*(a - 1)**3
Let q(j) be the first derivative of -2*j**3/27 + 16*j**2/3 - 128*j - 14. Factor q(p).
-2*(p - 24)**2/9
Let k(f) be the first derivative of 14 - 2/39*f**3 + 0*f**2 - 3/26*f**4 + 0*f. Find y, given that k(y) = 0.
-1/3, 0
Let q(i) be the second derivative of -i**6/40 - i**5/6 - 7*i**4/18 - 4*i**3/9 + 5*i**2 + 10*i. Let w(m) be the first derivative of q(m). Factor w(t).
-(t + 2)*(3*t + 2)**2/3
Let d(s) be the first derivative of 7/9*s**3 - 7/18*s**4 - 5 + 3*s - 2/3*s**2 + 1/15*s**5. Let m(x) be the first derivative of d(x). Factor m(h).
2*(h - 2)*(h - 1)*(2*h - 1)/3
Let x(o) be the second derivative of -1/36*o**4 + 0 + 0*o**3 - 1/60*o**5 - 2*o + 0*o**2. Factor x(m).
-m**2*(m + 1)/3
Let 1/2*o**3 - o - 1/2*o**2 + 0 = 0. Calculate o.
-1, 0, 2
Suppose 12*u + 17 = w + 7*u, 2*u + 6 = 0. Factor -6/5*b**3 + 3/5*b + 0 + 0*b**w + 3/5*b**5 + 0*b**4.
3*b*(b - 1)**2*(b + 1)**2/5
Let n = 223/5 + -8027/180. Let y(u) be the third derivative of 1/360*u**6 + 0*u - 1/72*u**4 - 1/18*u**3 + 0 + 3*u**2 + n*u**5. Let y(o) = 0. What is o?
-1, 1
Let c(y) = 7*y**4 - 12*y**3 + 5*y**2. Let w(z) = 36*z**4 - 61*z**3 + 25*z**2. Let a(u) = -11*c(u) + 2*w(u). Find h such that a(h) = 0.
0, 1
Let b(l) be the second derivative of 0*l**2 + 0 - 9*l - 2/195*l**6 + 0*l**4 + 0*l**5 + 0*l**3 + 1/273*l**7. Determine o so that b(o) = 0.
0, 2
Let s(w) = 5*w**2 - 20*w - 4. Let u(h) = 5*h**2 - 20*h - 5. Let r(p) = -5*s(p) + 4*u(p). Solve r(v) = 0.
0, 4
Let f(x) = -3*x**3 + 2*x**2 - 13*x - 14. Let h(c) = c**3 - c**2 + 1. Let d(p) = -f(p) - 4*h(p). Suppose d(v) = 0. What is v?
-2, -1, 5
Let l(r) = -16*r**5 - 10*r**4 - 36*r**3 - 8*r**2 + 22*r + 8. Let b(f) = -2*f**5 - f**4 - 2*f**3 + f. Let k(c) = 10*b(c) - l(c). Factor k(n).
-4*(n - 2)*(n - 1)*(n + 1)**3
Suppose 5*z - 13*z + 40 = 0. Suppose z*d - 3*d - 9 = -n, -5*d + 30 = 5*n. Factor -1/6*w**5 - 5/6*w**4 - w**d + 1/2 + 1/3*w**2 + 7/6*w.
-(w - 1)*(w + 1)**3*(w + 3)/6
Find q, given that -30*q - 81*q + 5*q**4 - 105*q**2 + 24*q + 24*q + 35*q**3 - 72*q = 0.
-9, -1, 0, 3
Let f be (-4496)/(-832) + (-6)/117*3. Let b(p) be the first derivative of -5/2*p**3 - 3*p + f*p**2 - 7. Let b(q) = 0. What is q?
2/5, 1
Let b(l) = 7*l - 38. Let i be b(6). Find h, given that -4*h**2 - 4*h - 6*h**2 - 872*h**i + 870*h**4 - 8*h**3 = 0.
-2, -1, 0
Let u(h) be the first derivative of -5*h**6/6 + 5*h**5 - 15*h**4/2 + 116. Factor u(j).
-5*j**3*(j - 3)*(j - 2)
Let j(v) be the third derivative of 5*v**8/288 - 17*v**7/105 + 16*v**6/45 + 11*v**5/20 - 27*v**4/16 + 3*v**3/2 - 20*v**2. Find o such that j(o) = 0.
-1, 2/5, 3/7, 3
Let t(l) be the second derivative of l**7/21 + 2*l**6/5 - 4*l**5/5 - l**4 + 7*l**3/3 - 33*l - 2. Solve t(w) = 0.
-7, -1, 0, 1
Suppose -v - 15 = -6*v. Factor 12*y**2 - 397*y + y**3 + 381*y - 3*y**v.
-2*y*(y - 4)*(y - 2)
Suppose 17*s + 48 = 150. Let v be (10/s - 2)*(-63)/14. Solve 1/2*a**2 + v*a + 1 = 0 for a.
-2, -1
Suppose 38*t = 34*t + 48. Factor 12*b**2 + 40*b**2 - 108 + 20*b**2 - t*b**4 - 54*b + 2*b**5 + 4*b**3.
2*(b - 3)**3*(b + 1)*(b + 2)
Factor -3*s + 42/5 - 3/5*s**3 - 24/5*s**2.
-3*(s - 1)*(s + 2)*(s + 7)/5
Let a = 1291 - 1291. Factor 2/13*t**4 + a*t + 2/13*t**2 + 0 + 4/13*t**3.
2*t**2*(t + 1)**2/13
Solve 13/4*f**4 + 3/4*f**2 + 0*f - 3/4*f**5 - 13/4*f**3 + 0 = 0.
0, 1/3, 1, 3
Let l(y) = y**2 - y. Let w(x) = 7*x**2 - 18*x + 6. Let d(g) = -4*l(g) + w(g). Let n(a) = 6*a**2 - 27*a + 12. Let q(t) = -9*d(t) + 5*n(t). Factor q(u).
3*(u - 2)*(u - 1)
Let j(p) be the third derivative of p**8/84 + 2*p**7/21 + 7*p**6/30 - p**5/15 - 4*p**4/3 - 8*p**3/3 - 237*p**2 + 2. Let j(y) = 0. What is y?
-2, -1, 1
Let q be (1 - -3) + (-4)/7*7. Factor -9/4*i**5 + 21/4*i**4 + i**2 + 0*i - 4*i**3 + q.
-i**2*(i - 1)*(3*i - 2)**2/4
Let t(o) be the third derivative of 7*o**6/1200 + o**5/300 - 7*o**4/240 - o**3/30 + 25*o**2 - 3*o. Let t(b) = 0. Calculate b.
-1, -2/7, 1
Let w(o) = 2*o**2 + 5*o + 5. Suppose -5*r - 10 = -4*s, 2*r = 3*r - 5*s + 2. Let x be w(r). Find d, given that 0 + 1/7*d + 2/7*d**2 + 1/7*d**x = 0.
-1, 0
Factor -12/5*c**3 + 54/5*c**2 + 21/5 - 3/5*c**4 - 12*c.
-3*(c - 1)**3*(c + 7)/5
Let g(u) be the first derivative of u**8/560 - u**7/140 + 3*u**3 - 11. Let p(k) be the third derivative of g(k). Suppose p(z) = 0. Calculate z.
0, 2
Let w(g) = 4*g**3 - g**2 + g. Let d be w(1). Find h such that 5*h**2 - 10*h**d + 8*h**2 - 18 + 11*h**4 + 3*h - 7*h**3 = 0.
-1, 2, 3
Let k = 3677/5 + -731. Let c be ((-2)/5)/((-4)/20). Factor -k*v + 6/5 - 8/5*v**c.
-2*(v + 3)*(4*v - 1)/5
Let q(i) = -i**2 + 16*i + 22. Let v be q(17). What is y in 15*y**4 - 15*y**3 - 13*y**2 + 10*y**2 + 8*y**2 - 5*y**v = 0?
0, 1
Let -32*s**4 - 28 - 4*s**5 + 64*s**2 + 3*s**3 + 5*s**3 + 1 - 5 + 0*s - 4*s = 0. What is s?
-8, -1, 1
Let l(p) be the second derivative of -7*p**6/180 + 19*p**5/90 - 2*p**4/9 - 4*p**3/9 - 8*p**2 - 2*p. Let y(c) be the first derivative of l(c). Factor y(q).
-2*(q - 2)*(q - 1)*(7*q + 2)/3
Suppose 5*m + 42 = 8*m. Suppose -m + 2 = -4*x. What is q in -2/11*q**2 + 0*q**x + 0*q + 0 + 2/11*q**4 = 0?
-1, 0, 1
Let 2/11*r**5 + 0 - 14/11*r**3 - 10/11*r**4 + 12/11*r + 10/11*r**2 = 0. Calculate r.
-1, 0, 1, 6
Let g(o) be the first derivative of o**4/2 + 2*o**3/3 - 2*o**2 + 45. Solve g(p) = 0.
-2, 0, 1
Suppose 17 = -s + 4*n, -5*n = -n - 20. Solve -y + s*y**3 - 27 - 6*y**2 - 6*y**2 + 46*y - 9*y**2 = 0 for y.
1, 3
Let l(u) = 6*u**2 - 4*u + 4. Let j(x) = -7*x**2 + 3*x - 5. Let n = -26 - -29. Let y be (10/n)/(4/(-6)). Let d(s) = y*l(s) - 4*j(s). Let d(o) = 0. Calculate o.
0, 4
Let x(b) be the second derivative of b**5/50 - b**3/5 + 2*b**2/5 - 3*b - 24. Factor x(r).
2*(r - 1)**2*(r + 2)/5
Let y(u) be the third derivative of 3/70*u**7 + 1/12*u**4 + 0*u + 40*u**2 + 0 - 3/20*u**5 + 0*u**3 - 1/60*u**6. Factor y(b).
b*(b - 1)*(b + 1)*(9*b - 2)
Factor -105*l + l**4 + 219 + 222 + 187*l + 20*l**3 + 142*l**2 - 16*l + 354*l.
(l + 3)**2*(l + 7)**2
Let r(b) = -5*b + 69. Let v be r(13). Suppose -z - 5 = -u + v, -z - 19 = -3*u. Factor 8*l**2 + 2/3*l**u + 4*l**4 + 26/3*l**3 + 8/3*l + 0.
2*l*(l + 1)**2*(l + 2)**2/3
Let -8/9 - 2/9*b**2 + 8/9*b = 0. What is b?
2
Let m(c) = -2*c**3 + 54*c**2 + 138*c + 128. Let g(a) = a**3 - a**2 + a. Let b(f) = 6*g(f) + m(f). Factor b(z).
4*(z + 2)**2*(z + 8)
Let k(a) = 16*a**2 + 162*a. Let f(h) = 5*h**2 + 54*h. Let s(r) = -7*f(r) + 2*k(r). Factor s(p).
-3*p*(p + 18)
Let y(r) be the second derivative of -r**5/5 + 5*r**4/3 - 14*r**3/3 + 6*r**2 - 68*r. Find h such that y(h) = 0.
1, 3
Let a(c) be the third derivative of 2*c**6/15 - 17*c**5/15 + 8*c**4/3 - 2*c**3 + 55*c**2. Factor a(x).
4*(x - 3)*(x - 1)*(4*x - 1)
Let u(z) = -6*z - z**2 + 13*z + 13 - z**3 - 3*z**2 + 0*z**2. Let p be u(-5). Solve -3/4*c**2 + 0 + 1/2*c + 1/4*c**p = 0.
0, 1, 2
Let s(a) be the third derivative of a**5/45 + 41*a**4/18 + 80*a**3/9 + 487*a**2. Determine i so that s(i) = 0.
-40, -1
Let l = -78 - -111. Factor -72*d + 3*d**2 + 30*d + l*d + 6.
3*(d - 2)*(d - 1)
Let j(o) be the third derivative of -o**5/100 + o**4/40 - 6*o**2 + 1. Factor j(y).
-3*y*(y - 1)/5
Let w(h) be the third derivative of h**8/4032 + h**7/336 - h**6/36 - 3*h**5/20 + 10*h**2. Let n(o) be the third derivative of w(o). Find l such that n(l) = 0.
-4, 1
Let v = 68 + -66. Let g(j) be the first derivative of 1/3*j**3 + j**2 + v + j. Factor g(s).
(s + 1)**2
Solve -43*s + 1 - 1 - 5*s**2 + 38*s = 0 for s.
-1, 0
Let c = 60/119 - -6/17. Let i = -2174 - -15221/7. Find a, given that 9/7*a**2 - i*a**3 - 3/7*a**4 + 3/7*a - c = 0.
-2, -1, 1
Let i(m) be the third derivative of -m**8/4200 - 4*m**7/2625 + m**6/125 - m**5/375 - 11*m**4/300 + 2*m**3/25 - 50*m**2 - 1. Let i(l) = 0. Calculate l.
-6, -1, 1
Suppose 21*f = 9 + 54. Factor -6/7*t - 2/7 - 2/7*t**f - 6/7*t**2.
-2*(t + 1)**3/7
Let p = 462 - 460. Let q(w) be the first derivative of 0*w + 4 - w**p + 1/3*w**3. Find a such that q(a) = 0.
0, 2
Factor -53/3*b**3 + 0 - 28/3*b**4 - 26/3*b**2 + 0*b - 1/3*b**5.
-b**2*(b + 1)**2*(b + 26)/3
Let d(j) be the second derivative of -2*j + 1/1980*j**6 - 1/3*j**3 + 0*j**2 + 0*j**4 + 0 - 1/330*j**5. Let h(q) be the second derivative of d(q). Fa