he first derivative of u(j). Determine n so that z(n) = 0.
0, 2
Let g(h) be the second derivative of h**5/30 - h**4/6 + 3*h**2/2 + 3*h. Let l(k) be the first derivative of g(k). Let l(s) = 0. Calculate s.
0, 2
Let 25*u**2 + 3*u**5 + 5*u**3 - 7*u**4 + 0*u**5 - 26*u**2 = 0. Calculate u.
0, 1/3, 1
Let i(c) be the second derivative of 4*c**7/147 - 2*c**6/35 + c**5/35 - 2*c. Find x, given that i(x) = 0.
0, 1/2, 1
Suppose 6*g = 3*g. Let j(d) be the third derivative of 0 + g*d + 0*d**4 - 1/1344*d**8 + 0*d**3 + 0*d**5 - d**2 + 1/840*d**7 + 0*d**6. Factor j(k).
-k**4*(k - 1)/4
What is h in 0 + 1/2*h**3 + h**4 + 0*h**2 + 0*h + 1/2*h**5 = 0?
-1, 0
Let o be 4/40 + (-26)/(-140). Solve -4/7*m**2 + 2/7 + o*m = 0.
-1/2, 1
Let d(h) be the first derivative of h**7/350 - h**6/150 - h**5/300 + h**4/60 - 7*h**2/2 + 6. Let b(f) be the second derivative of d(f). Factor b(c).
c*(c - 1)**2*(3*c + 2)/5
Let a(p) be the third derivative of p**5/150 - p**4/15 + 4*p**3/15 - p**2. Determine f, given that a(f) = 0.
2
Let p(q) be the second derivative of -5*q**7/42 + 7*q**6/6 - 19*q**5/4 + 125*q**4/12 - 40*q**3/3 + 10*q**2 + 9*q. Factor p(n).
-5*(n - 2)**2*(n - 1)**3
Let i(o) be the first derivative of -o**6/30 - 3*o**5/25 - 3*o**4/20 - o**3/15 - 3. Determine c, given that i(c) = 0.
-1, 0
Find v such that -4/3*v**2 - 4/3*v + 0 - 1/3*v**5 + v**3 + 2/3*v**4 = 0.
-1, 0, 2
Let g(q) be the first derivative of 2*q**6/3 + 8*q**5/5 - 4*q**4 - 8*q**3/3 + 6*q**2 - 6. What is c in g(c) = 0?
-3, -1, 0, 1
Suppose -3*z + 12 = -3. What is w in -2*w**4 - w**z + 2*w**2 + 2 + w + 0*w**2 - 2 = 0?
-1, 0, 1
Let g = 97 + -97. Factor g*w**3 + 0*w + 0 + 1/3*w**4 + 0*w**2.
w**4/3
Let c = -86 - -89. Factor 2/3*k - 2/3*k**c + 4/3*k**2 - 4/3.
-2*(k - 2)*(k - 1)*(k + 1)/3
Suppose -21*j = -44*j. Suppose 2/3*l**2 + 2*l + j = 0. What is l?
-3, 0
Suppose -85 = -6*i - 1. Let b be (-14)/49*i/(-8). Find d such that 0 - 3/2*d**2 - d - b*d**3 = 0.
-2, -1, 0
Let i = 5 + -3. Factor 3*b**5 + 0*b**5 - i*b**5.
b**5
Let z(i) = i**2 - 8*i. Let h be z(7). Let l = 11 + h. Solve -a**5 + a**2 - 3*a**2 + 2*a**l - 2*a**3 + 3*a**5 = 0 for a.
-1, 0, 1
Let q(i) be the first derivative of i**5/4 + 5*i**4/16 - 5*i**3/12 - 5*i**2/8 + 14. Factor q(w).
5*w*(w - 1)*(w + 1)**2/4
Let 4/13*p**2 + 0 + 0*p + 2/13*p**5 + 8/13*p**4 + 10/13*p**3 = 0. Calculate p.
-2, -1, 0
Suppose -4*n = -8*n - 12. Let q be (n/(-5))/(21/14). Find p such that 0*p**2 + 0 - 4/5*p**4 - q*p**5 - 2/5*p**3 + 0*p = 0.
-1, 0
Let j(z) = -z + 1. Let y(i) = 2*i - 3*i - 4 + i**2 + i - i. Let m(d) = 3*j(d) + 3*y(d). Factor m(k).
3*(k - 3)*(k + 1)
Let t(c) = 24*c**4 + 59*c**3 + 56*c**2 + 11*c. Let d(f) = 132*f**4 + 324*f**3 + 308*f**2 + 60*f. Let y(z) = -5*d(z) + 28*t(z). Solve y(h) = 0 for h.
-1, -2/3, 0
Find f, given that 5 + 0*f - 5/4*f**2 = 0.
-2, 2
Factor 2/7*i**2 + 6/7 - 2/7*i**3 + 10/7*i.
-2*(i - 3)*(i + 1)**2/7
Let g(l) be the first derivative of 2/5*l**5 - l**2 + 1/2*l**4 - 3 - 2*l**3 + 4*l. Factor g(o).
2*(o - 1)**2*(o + 1)*(o + 2)
Let b(s) be the first derivative of -2 + 0*s**3 + 1/40*s**5 + s + 1/24*s**4 + 0*s**2. Let p(d) be the first derivative of b(d). Factor p(z).
z**2*(z + 1)/2
Let z(g) = -g**3 + g**2 - 1. Let r(x) = -4*x**4 - 4*x**3 - 4*x**2 + 2. Let i(a) = -2*r(a) - 4*z(a). Suppose i(d) = 0. Calculate d.
-1, -1/2, 0
Let v(j) be the third derivative of j**5/210 + 2*j**4/21 + 16*j**3/21 - 14*j**2. Determine n so that v(n) = 0.
-4
Let x(l) be the second derivative of 0*l**2 - 2/3*l**3 - 3/5*l**5 + 0 + 4/3*l**4 + 7*l. Solve x(o) = 0.
0, 1/3, 1
Suppose -32/3*y**3 - 14/3*y**2 - 8*y**4 + 0 - 2/3*y = 0. What is y?
-1/2, -1/3, 0
Suppose 0 = 5*u + 20, h - u - 3*u = 22. Let w(b) = -17*b**3 + b**2 + 4*b + 7. Let f(l) = -16*l**3 + 4*l + 6. Let o(k) = h*w(k) - 7*f(k). Factor o(j).
2*j*(j + 1)*(5*j - 2)
What is a in 4*a**3 - 9*a**4 + 9*a**5 - 4*a**3 - 3*a**3 + 3*a**5 = 0?
-1/4, 0, 1
Let z(c) be the first derivative of c**6/3 + 2*c**5/5 - 32. Factor z(n).
2*n**4*(n + 1)
Let r(v) = -40*v**3 - 35*v**2 + 10*v. Let m(p) = 41*p**3 + 35*p**2 - 10*p. Let f(q) = 5*m(q) + 4*r(q). What is z in f(z) = 0?
-1, 0, 2/9
Let d(h) = h**2 + 1. Let q(u) = -u**2 + 3*u - 4. Let m(y) = -4*d(y) - q(y). Suppose m(c) = 0. Calculate c.
-1, 0
Suppose f + 2 - 6 = 0. Suppose -3*a**4 - 23*a**3 + 2*a**3 + 12*a + 18*a**f - 24*a**2 = 0. Calculate a.
-1, 0, 2/5, 2
Let z(r) = r + 1. Let n(h) = -7*h + 6. Let g(a) = n(a) + 6*z(a). Let o be g(9). Factor 4*w**3 - w + 3*w**3 + 0*w**o + 6*w**4.
w*(w + 1)*(2*w + 1)*(3*w - 1)
Let o(h) be the second derivative of -h**4 + 4*h + 0*h**2 + 4/3*h**3 + 1/5*h**5 + 0. Let o(t) = 0. Calculate t.
0, 1, 2
Let d(q) = 3*q**4 - 3*q**3 + 11*q**2 + 3*q - 7. Let k(z) = -z**4 + z**3 - 5*z**2 - z + 3. Let g(p) = 6*d(p) + 14*k(p). Factor g(s).
4*s*(s - 1)**2*(s + 1)
Let c be (-4 - -3)/(50/(-10)). Factor 1/5*b**4 + 3/5*b**2 - c*b + 0 - 3/5*b**3.
b*(b - 1)**3/5
Let f(g) be the second derivative of -g**4/6 - 7*g**3/3 - 6*g**2 - 17*g. Factor f(n).
-2*(n + 1)*(n + 6)
Let d = -305737/5365 + 1660/29. Let l = -2/37 + d. Factor 0 - l*g + 3/5*g**2.
g*(3*g - 1)/5
Suppose -10*c + 15*c - 90 = 0. Let p = c + -18. Factor p - 1/2*z**3 - 1/2*z**4 + 1/2*z + 1/2*z**2.
-z*(z - 1)*(z + 1)**2/2
Let c(o) be the third derivative of -o**7/70 - o**6/20 + 3*o**5/20 + 4*o**2. Let c(i) = 0. Calculate i.
-3, 0, 1
Let d(h) be the first derivative of -4*h**5/45 - 5*h**4/18 - 8*h**3/27 - h**2/9 - 6. Factor d(u).
-2*u*(u + 1)**2*(2*u + 1)/9
Factor -2/9*p**4 + 2/9*p**3 + 0*p + 0 + 4/9*p**2.
-2*p**2*(p - 2)*(p + 1)/9
Let k be (-38)/(-9) - (-10)/(-45). Factor 2*a**4 + a**2 + 0*a**4 + a**2 - 4*a**k.
-2*a**2*(a - 1)*(a + 1)
Let t(z) be the first derivative of z**4/36 + z**3/27 - 3. Determine y, given that t(y) = 0.
-1, 0
Let x(w) = w**2 + 3. Let r be x(0). Find s such that -4*s**3 + 10*s**2 - 4*s**3 - 5*s + 0*s**r + s + 2*s**4 = 0.
0, 1, 2
Let a(l) be the second derivative of 3*l**5/160 + 3*l**4/32 - 3*l**2/4 - 20*l. Factor a(z).
3*(z - 1)*(z + 2)**2/8
Solve 3*j**3 + j**3 - 8*j**2 + 8*j**3 - 4*j + 0*j = 0 for j.
-1/3, 0, 1
Let y(k) be the third derivative of k**5/150 - k**4/30 + 5*k**2. Suppose y(l) = 0. Calculate l.
0, 2
Let v(r) be the second derivative of r**4/6 - 4*r**3/3 + 3*r**2 + 5*r - 2. Factor v(x).
2*(x - 3)*(x - 1)
Let i(h) be the third derivative of h**6/120 + h**5/10 - h**4/3 - h**3/2 - h**2. Let u be i(-7). Factor 1/3*n**2 + 0 + 0*n + 2/3*n**3 + 1/3*n**u.
n**2*(n + 1)**2/3
Let h(y) be the third derivative of -y**6/36 + 4*y**5/45 - y**4/36 - 2*y**3/9 - 2*y**2. Suppose h(d) = 0. Calculate d.
-2/5, 1
Let o(x) = -15*x**4 + 75*x**3 + 206*x**2 + 94*x - 11. Let y(d) = -3*d**4 + 15*d**3 + 41*d**2 + 19*d - 2. Let l(t) = -2*o(t) + 11*y(t). Factor l(v).
-3*v*(v - 7)*(v + 1)**2
Let w(q) = 7*q**3 - 31*q**2 + 57*q - 33. Let v = 17 - 14. Let d(b) = 20*b**3 - 92*b**2 + 172*b - 100. Let y(r) = v*d(r) - 8*w(r). Factor y(n).
4*(n - 3)**2*(n - 1)
Factor v + 0*v**3 + 0*v**2 + v**2 - 5*v**4 + 4*v**4 - v**3.
-v*(v - 1)*(v + 1)**2
Let z(q) be the first derivative of 0*q - 3 + 1/9*q**3 + 0*q**2. Determine y so that z(y) = 0.
0
Let z = 1072/5 + -214. Let i be (4/(-2))/(-2) + 1. Suppose -6/5*l**i - 2/5*l**3 - 6/5*l - z = 0. Calculate l.
-1
Let p(a) be the second derivative of a**4/6 + 2*a**3/3 + 16*a. Let p(b) = 0. What is b?
-2, 0
Factor -12*i**2 + 3*i - 9*i + 3*i**3 + 15*i + 0*i.
3*i*(i - 3)*(i - 1)
Factor 0 + 1/2*v**2 - 1/2*v**4 + 0*v + 0*v**3.
-v**2*(v - 1)*(v + 1)/2
Suppose 0 - 6 = -2*j. Let x(r) be the second derivative of 0 + 1/9*r**j - 2*r - 1/9*r**2 - 1/27*r**4. Factor x(y).
-2*(y - 1)*(2*y - 1)/9
Let g(k) be the third derivative of k**6/1620 - k**5/540 + k**3/2 + 2*k**2. Let s(i) be the first derivative of g(i). Suppose s(y) = 0. Calculate y.
0, 1
Suppose 13*b - 8*b = 20. Factor 3*n**5 + n**4 - b*n**5 - n**3 + 3*n**3.
-n**3*(n - 2)*(n + 1)
Let i = 128 - 3839/30. Let o(g) be the second derivative of 2*g + i*g**6 + 3/10*g**5 + 2*g**2 + 2*g**3 + 13/12*g**4 + 0. What is t in o(t) = 0?
-2, -1
Factor -1/4*g**5 - 1/4*g**3 + 0*g + 0 - 1/2*g**4 + 0*g**2.
-g**3*(g + 1)**2/4
Let a be (-7 + 282/42)*(-7)/12. Factor -a*v**2 + 0 - 1/6*v**3 + 1/3*v.
-v*(v - 1)*(v + 2)/6
Let l(j) be the third derivative of j**8/84 - j**6/15 + j**4/6 + 7*j**2. Suppose l(f) = 0. What is f?
-1, 0, 1
Let y(v) = -v - 1. Let s = 0 - 7. Let j be y(s). Factor -x