 derivative of -24/11*h**2 + 7*h - 21/11*h**4 + 0 + 9/55*h**6 + 27/110*h**5 + 100/33*h**3. Determine l, given that s(l) = 0.
-3, 2/3
Let q = 105 + -209/2. Let s(v) = -v**3 + 5*v**2 + 6*v. Let u be s(6). Factor -1/2*d**3 - q*d**5 + 0 + d**4 + u*d**2 + 0*d.
-d**3*(d - 1)**2/2
Let x(u) be the first derivative of -4*u**5/5 + 7*u**4 - 56*u**3/3 + 16*u**2 - 41. Find m, given that x(m) = 0.
0, 1, 2, 4
Let v(a) be the third derivative of 3*a**6/40 + a**5/2 - 23*a**4/8 + 5*a**3 + 86*a**2. Let v(o) = 0. Calculate o.
-5, 2/3, 1
Let s(b) = 4*b + 36. Let l = -11 + 8. Let y(a) = a**2 - 5*a - 35. Let v(w) = l*s(w) - 4*y(w). Factor v(p).
-4*(p - 4)*(p + 2)
Let u(o) be the second derivative of -2*o**6/15 + o**5 + 7*o**4/3 - 10*o**3/3 - 12*o**2 - 236*o. Let u(y) = 0. Calculate y.
-1, 1, 6
Let f(d) be the first derivative of 5*d**4/4 + 40*d**3/3 + 35*d**2/2 + 28. Factor f(q).
5*q*(q + 1)*(q + 7)
Let g(o) be the third derivative of -o**8/6720 - o**7/630 + o**6/720 + o**5/30 + 11*o**4/8 - 44*o**2. Let b(a) be the second derivative of g(a). Factor b(u).
-(u - 1)*(u + 1)*(u + 4)
Let g(d) = -7*d + 7. Let x(i) = -13*i + 13. Let l(w) = 11*g(w) - 6*x(w). Let u(y) = 5*y**2 + 57*y + 183. Let f(t) = 3*l(t) + u(t). Factor f(j).
5*(j + 6)**2
Let v(o) be the third derivative of -o**11/221760 + o**10/33600 + 4*o**5/15 + 18*o**2. Let j(l) be the third derivative of v(l). Let j(c) = 0. Calculate c.
0, 3
Let a(u) be the second derivative of -u**7/1120 - u**6/160 - 3*u**5/160 - u**4/32 + 3*u**3/2 - 16*u. Let c(n) be the second derivative of a(n). Factor c(b).
-3*(b + 1)**3/4
Let q(x) be the second derivative of x**5/40 - 11*x**4/24 + 2*x**3/3 + 5*x**2 - 575*x. Let q(a) = 0. What is a?
-1, 2, 10
Let q(w) be the first derivative of -w**7/21 - w**6/15 + 4*w - 13. Let u(x) be the first derivative of q(x). Factor u(g).
-2*g**4*(g + 1)
Let b be 0 + (2 - 4/(-4)). Factor -18*f + f**2 + 16*f + 0*f**3 - 6*f**3 + 7*f**b.
f*(f - 1)*(f + 2)
Let k(d) be the first derivative of -1/2*d**2 + 0*d - 15 + 5/6*d**3 + 1/10*d**5 - 1/2*d**4. Let k(j) = 0. What is j?
0, 1, 2
Let u(w) be the second derivative of -w**7/2520 + w**6/720 + w**5/60 - 2*w**4/3 - 12*w. Let h(l) be the third derivative of u(l). Factor h(v).
-(v - 2)*(v + 1)
Factor -2/15*z**3 + 0 - 8/3*z + 8/5*z**2.
-2*z*(z - 10)*(z - 2)/15
Let r(b) be the first derivative of -b**6/6 + 2*b**5/5 + 3*b**4/4 + 127. Let r(d) = 0. What is d?
-1, 0, 3
Let y(d) = 4*d**3 + 5*d**2 + 2*d + 4. Let j be y(0). Find r, given that 6 + j*r + 2/3*r**2 = 0.
-3
Let n be 3/(15/(-2) + 9). What is h in -2/9*h**n - 2/3*h - 4/9 = 0?
-2, -1
Factor -5/6*d**4 - 1/6*d**5 + 0 + 2/3*d**2 + 4/3*d - d**3.
-d*(d - 1)*(d + 2)**3/6
Factor -1/3*x**3 + 0 + 2*x**2 + 0*x.
-x**2*(x - 6)/3
Suppose -3*p = -2*i + 1, 2*i - 2*p + 10 = 6*i. Let q(y) be the first derivative of 1/11*y**i + 1/22*y**4 + 1 + 0*y + 4/33*y**3. Factor q(x).
2*x*(x + 1)**2/11
Let v(x) = 12*x**4 - 94*x**3 + 188*x**2 - 54*x - 150. Let i = 16 + -15. Let a(u) = u**3 + u + 1. Let j(m) = i*v(m) + 6*a(m). Factor j(w).
4*(w - 3)**2*(w - 2)*(3*w + 2)
Let r(y) be the second derivative of -2*y**2 + 1/15*y**6 - y**3 + 3/10*y**5 + 0 + 15*y + 1/6*y**4. Factor r(k).
2*(k - 1)*(k + 1)**2*(k + 2)
Factor 27 - 48*p + 46/3*p**2 + 16/3*p**3 + 1/3*p**4.
(p - 1)**2*(p + 9)**2/3
Let d(t) be the first derivative of t**5/10 + 5*t**4/8 + t**3/6 - 21*t**2/4 - 9*t + 77. Determine i, given that d(i) = 0.
-3, -1, 2
Suppose 694*j**2 - 248*j - 231*j**2 - 233*j**2 - 232*j**2 = 0. Calculate j.
-124, 0
Let x(w) = w**4 + w**3 - w**2 - w + 1. Let t = 50 + -52. Let a(i) = i**4 - 5*i**3 - i**2 + 5*i - 2. Let l(q) = t*x(q) - a(q). Find k such that l(k) = 0.
-1, 0, 1
Let i(m) be the first derivative of -3*m**5/35 - 9*m**4/4 - 39*m**3/7 - 57*m**2/14 - 54. Find w such that i(w) = 0.
-19, -1, 0
Let m = 161614/7 + -1616457/70. Let x = -1/35 - m. Factor -1/2*g**4 + g**2 + 2*g**3 - x - 6*g.
-(g - 3)**2*(g + 1)**2/2
Let d(k) = -k - 10. Let t be d(-7). Let m(x) = x**2. Let p(s) = s**2 - 5*s**2 + 5*s**2 - 5*s**2 + 2*s. Let w(q) = t*p(q) - 15*m(q). What is g in w(g) = 0?
-2, 0
Let i(p) be the second derivative of p**7/14 + 34*p**6/5 + 3039*p**5/20 - 2413*p**4/2 + 3168*p**3 - 3888*p**2 + 4*p + 46. Suppose i(d) = 0. Calculate d.
-36, 1, 2
Suppose 15*x = 20*x. Let f(z) be the third derivative of -1/60*z**5 - 9*z**2 + 0*z + x + 11/72*z**4 + 2/9*z**3. Find y, given that f(y) = 0.
-1/3, 4
Let f(w) = 2*w**2 - 14*w + 12. Let j be f(6). Let z(s) be the third derivative of j*s**3 - 2/165*s**5 + 0*s - 1/33*s**4 + 0 - 5*s**2 - 1/660*s**6. Factor z(k).
-2*k*(k + 2)**2/11
Let z(p) be the first derivative of 0*p**2 - 1/2*p**4 - 9 + 4/3*p**3 + 0*p. Solve z(i) = 0 for i.
0, 2
Let u be (4/(-6))/((6/(-45))/((-9)/(-180))). Let u*p**3 - 15/4*p + 2 + 3/2*p**2 = 0. What is p?
-8, 1
Let n(d) be the second derivative of d**4/20 - 3*d**3/5 - 24*d**2/5 - 219*d. Solve n(v) = 0.
-2, 8
Let x(h) be the second derivative of 1/15*h**4 + 0*h**2 + 32*h - 3/50*h**5 - 1/30*h**3 + 2/75*h**6 - 1/210*h**7 + 0. Let x(c) = 0. What is c?
0, 1
Let l(h) be the first derivative of 4/3*h**3 + 2 - 1/4*h**4 + 2*h - 5/2*h**2. Solve l(y) = 0.
1, 2
Let p(x) be the first derivative of x**3/3 + 5*x**2/8 + x/4 + 137. Let p(d) = 0. What is d?
-1, -1/4
Let w = 5 + -2. Suppose 3*r + d = 16, 5*d + 28 = 3*r - 0*r. Factor 0*c**3 - 2*c + r*c**w - 1 - 4*c - 2 + 3*c**4.
3*(c - 1)*(c + 1)**3
Let c be (1 - 2) + 0 - -4. Suppose -5*w + 20 = -s, 5*w - 2 - 18 = c*s. Factor 5*h - w*h**3 + 3*h**5 - 5*h + h**5 + 4*h**2 - 4*h**4.
4*h**2*(h - 1)**2*(h + 1)
Let t(k) = 13*k**5 + 13*k**4 - 20*k**3 + 21*k**2 - 18*k + 9. Let v(w) = 3*w**5 + 3*w**4 - 5*w**3 + 5*w**2 - 4*w + 2. Let q(i) = -2*t(i) + 9*v(i). Factor q(d).
d**2*(d - 1)**2*(d + 3)
Let x be 16 + -17 - 32/(-4). Let r(m) be the first derivative of x - 27/5*m + 9/5*m**2 - 1/5*m**3. Factor r(i).
-3*(i - 3)**2/5
Let s(w) be the third derivative of -w**7/210 - 5*w**2 + w. What is f in s(f) = 0?
0
Factor 1/3*z**2 + 1/3*z**3 - 1/3*z + 0 - 1/3*z**4.
-z*(z - 1)**2*(z + 1)/3
Let b(x) be the second derivative of -x**6/360 + 29*x**5/240 + 31*x**4/72 - 3*x + 9. Solve b(t) = 0 for t.
-2, 0, 31
Let k(n) = -7*n**2 - 19*n + 6. Let a(s) = 10*s**2 + 20*s - 5. Let u(g) = -4*a(g) - 5*k(g). Factor u(t).
-5*(t - 2)*(t - 1)
Let z(o) = o**3 - 10*o**2 + o - 5. Let g be z(10). Suppose -g*u + 115 = h + 4*h, 0 = 5*h + 5. Factor -u - 12*m - 3/2*m**2.
-3*(m + 4)**2/2
Suppose 9/4*j**4 + 147/4*j**3 + 156*j**2 + 48*j + 0 = 0. What is j?
-8, -1/3, 0
Let s(x) be the first derivative of -4*x**3/3 - 16*x**2 - 60*x + 51. Let s(b) = 0. Calculate b.
-5, -3
Suppose -4*h - 13*h + 85 = 0. Let q(a) be the third derivative of 0 + 0*a - 1/3*a**3 - 1/4*a**4 - 1/15*a**h + 3*a**2. Solve q(o) = 0.
-1, -1/2
Let g(f) = 8*f**5 + 37*f**4 - 56*f**3 - 11*f**2 - 11. Let i(n) = 4*n**5 + 18*n**4 - 28*n**3 - 6*n**2 - 6. Let c(q) = 6*g(q) - 11*i(q). Factor c(x).
4*x**3*(x - 1)*(x + 7)
Let c(t) be the first derivative of -t**6/13 - 10*t**5/13 + 41*t**4/13 - 44*t**3/13 + t**2/13 + 22*t/13 + 263. Suppose c(i) = 0. What is i?
-11, -1/3, 1
Let s(j) be the third derivative of 0 - 5/6*j**4 - 5/12*j**5 + 0*j + 5/6*j**3 + 11*j**2. Factor s(x).
-5*(x + 1)*(5*x - 1)
Let n = -5/13014 - -8701/65070. Determine x so that 4/15*x + n*x**2 + 2/15 = 0.
-1
Let d = -30 + 33. Factor -25*k**2 - 35*k + 4 - 4*k**d - 19 - 2*k**3 + k**3.
-5*(k + 1)**2*(k + 3)
Let u = 23 + -21. Factor 490*g**2 - 4*g + u*g**3 - 2*g - 4 - 490*g**2.
2*(g - 2)*(g + 1)**2
Suppose 2*n - 2 = g, 4*g + 5*n - 23 + 5 = 0. Factor -6*r**4 + 2 - 4*r**3 - 6 + g + 5*r**2 + 4*r**5 + 3*r**2.
2*(r - 1)**3*(r + 1)*(2*r + 1)
Let y(h) be the first derivative of 29 - 127/4*h**4 + 4*h**2 + 16*h**5 + 59/3*h**3 - 4*h - 8/3*h**6. Determine o, given that y(o) = 0.
-1/4, 1/4, 1, 2
Let g(h) = 3 + 0*h**3 - 3 + 17*h**2 - h**3. Let o be g(17). Let o - 3/2*f**4 + 6*f + 15/2*f**3 - 12*f**2 = 0. What is f?
0, 1, 2
Suppose 4*g - 1 = 3*p, 5 = -p - 0*p - g. Let b be 1/(-3)*(-6 + p). Factor -11 - 15 + 3*k**b + 26 + 3*k**4.
3*k**3*(k + 1)
Let j = 1954331/187 - 10451. Let i = 356/561 - j. Factor -32/3*g - 8/3 + 8/3*g**3 + i*g**2.
2*(g - 2)*(g + 2)*(4*g + 1)/3
Let 26*a**2 - 16 - 23*a**2 + 27*a + 5 - 19 = 0. What is a?
-10, 1
Let k(z) be the second derivative of 0 + 0*z**2 + 0*z**4 - 1/65*z**5 + 1/195*z**6 - 22*z + 0*z**3. Let k(m) =