t) = 18*v(t) - w(t). Determine i, given that r(i) = 0.
-2, 0
Let n(f) be the second derivative of 3/40*f**5 + 0*f**2 - 1/60*f**6 + 1/12*f**3 - 1/8*f**4 + 0 - 8*f. Factor n(t).
-t*(t - 1)**3/2
Let q(x) be the first derivative of 1/3*x**3 + 0*x**2 - 1/6*x**4 + x + 2. Let g(n) be the first derivative of q(n). Factor g(z).
-2*z*(z - 1)
Let h be 1 + 0 + -2 + 5. Factor -8/3*g + 2*g**3 + 0 + 6*g**h - 16/3*g**2.
2*g*(g - 1)*(3*g + 2)**2/3
Let z(o) be the third derivative of 3*o**2 + 1/40*o**4 + 0 + 0*o - 1/300*o**5 - 1/15*o**3. Let z(r) = 0. Calculate r.
1, 2
Let c(f) = f**2 + 2. Let k(n) = 8*n**2 + 17*n + 12. Let l(z) = -12*c(z) + 3*k(z). Find v, given that l(v) = 0.
-4, -1/4
Let u(c) be the first derivative of 4*c**5/25 + c**4/5 - 4*c**3/15 - 2*c**2/5 + 4. Factor u(s).
4*s*(s - 1)*(s + 1)**2/5
Factor 2/5*l + 0 + 2/15*l**2.
2*l*(l + 3)/15
Let c(t) be the third derivative of t**7/4200 - t**5/600 + t**3/6 - 2*t**2. Let v(w) be the first derivative of c(w). Solve v(n) = 0.
-1, 0, 1
Let p(l) = 5*l**3 + 2 + l**2 - l**3 + 4*l - 2. Let g(w) = -w**3 - w**2 - w. Let b(n) = -3*g(n) - p(n). Factor b(j).
-j*(j - 1)**2
Let p(r) be the first derivative of r**6/15 - 2*r**5/5 + r**4 - 4*r**3/3 + r**2 + 4*r - 1. Let a(j) be the first derivative of p(j). Factor a(b).
2*(b - 1)**4
Let c(b) = -4*b**3 - b**2 + 24*b + 3. Let f(m) = -m**2 - 1. Let y(r) = c(r) + 3*f(r). Suppose y(g) = 0. Calculate g.
-3, 0, 2
Suppose 3*a - 3 - 3 = 0. Factor 8*x**5 + 6*x**3 - 18*x**4 + 6*x**3 + 2 - 2*x**2 - a.
2*x**2*(x - 1)**2*(4*x - 1)
Let h = 984579/28 - 128319/7. Let k = h + -16676. Factor -k*x**4 - 250*x**3 - 4 - 150*x**2 - 40*x.
-(5*x + 2)**4/4
Let y(a) be the first derivative of -3*a**3 - 6*a**2 + 2*a + 6. Let u(h) = h**2 + 1. Let v(l) = -2*u(l) - y(l). Suppose v(s) = 0. What is s?
-2, 2/7
Suppose -6*z = -7*z - 3*z. Let 5/3*b**4 - 5/3*b**2 - 2/3*b + z + 2/3*b**3 = 0. What is b?
-1, -2/5, 0, 1
Suppose -24 = 7*o - 13*o. Factor -1/7*a**o - 2/7 - 9/7*a**2 - 5/7*a**3 - a.
-(a + 1)**3*(a + 2)/7
Let p(c) = -c**3 + 6*c**2 - 3*c + 7. Let r be p(5). Suppose 20*n - 12 = r*n. What is j in -1/5*j**3 + 0*j + 0 - 1/5*j**n + 0*j**2 = 0?
-1, 0
Let q(u) be the second derivative of u**10/10080 - u**8/1120 + u**6/240 - u**4/4 - u. Let s(r) be the third derivative of q(r). Find o such that s(o) = 0.
-1, 0, 1
Let -t - 3*t**2 - 2*t**2 - 2*t**3 + 4*t**3 + 4*t**2 = 0. Calculate t.
-1/2, 0, 1
Let r = 17 + -25. Let j be (-38)/(-14) + r/(-28). Factor -2*l**4 - 3*l**3 + 3*l**3 + 2*l**j.
-2*l**3*(l - 1)
Find w such that -116/3*w**2 - 80/3*w**3 - 4/3 - 40/3*w = 0.
-1, -1/4, -1/5
Let n = 858 - 4286/5. Factor 0 + 2/5*p**2 + n*p.
2*p*(p + 2)/5
Let u = -2/229 - -237/916. Find x such that -1/4*x**2 + u + 1/4*x - 1/4*x**3 = 0.
-1, 1
Let -4/5 + 2*t**2 - 2*t**3 + 2*t - 6/5*t**4 = 0. Calculate t.
-2, -1, 1/3, 1
Let g(a) be the second derivative of 0*a**3 - 2/3*a**2 + 0 - 2*a + 1/36*a**4. Determine d, given that g(d) = 0.
-2, 2
Let k(g) be the third derivative of g**6/40 - 5*g**5/24 + 23*g**4/48 - g**3/2 - 3*g**2. Determine t, given that k(t) = 0.
1/2, 2/3, 3
Let w(x) = -10*x**2 - 24*x + 34. Let y(f) = 11*f**2 + 26*f - 33. Let n(d) = 7*w(d) + 6*y(d). Factor n(v).
-4*(v - 2)*(v + 5)
Let d(p) = -23*p**3 - 45*p**2 - 22*p - 4. Let h(v) = 137*v**3 + 270*v**2 + 131*v + 24. Let i(u) = 39*d(u) + 6*h(u). Factor i(x).
-3*(x + 1)*(5*x + 2)**2
Suppose -3*j = -z + 2 - 3, -5*j - 2*z = 2. Find a, given that -6/7*a**3 - 2/7*a**2 + j + 0*a = 0.
-1/3, 0
Let f(c) = 24*c**4 - 9*c**3 - 15*c**2 - 9*c. Let l(h) = 12*h**4 - 4*h**3 - 8*h**2 - 5*h. Let i(s) = -5*f(s) + 9*l(s). Factor i(g).
-3*g**2*(g - 1)*(4*g + 1)
Let i(u) = u**2 - 8*u + 7. Let g be i(7). Let r(h) be the third derivative of 0*h**3 + g*h + 2*h**2 + 0*h**4 + 0 - 1/60*h**5. Factor r(o).
-o**2
Let c(l) be the first derivative of 20*l**3/3 - 8*l**2 - 4*l - 5. What is i in c(i) = 0?
-1/5, 1
Suppose -d + 2 = -3. Factor 4*f + 6 + 2*f**2 + d*f - f + 0*f.
2*(f + 1)*(f + 3)
Suppose 0 = -z - 5*x + 8 - 0, -4*z - 3*x = -15. Let v(t) be the second derivative of -3*t + 1/42*t**4 + 0 + 0*t**2 + 0*t**z. Factor v(f).
2*f**2/7
Let y(u) be the second derivative of 0 - 1/36*u**4 + 1/18*u**3 + u + 0*u**2. Factor y(h).
-h*(h - 1)/3
Suppose -21 = -2*i - 5*v, -v - 3 - 3 = -3*i. Suppose 5*g = i*b + 25, b = 5*g - 0*b - 15. Factor 4*f + 0 + 4 + 2*f**g - 2.
2*(f + 1)**2
Let v(h) be the first derivative of -h**4/24 - 5*h**3/3 - 25*h**2 - 500*h/3 - 26. Factor v(l).
-(l + 10)**3/6
Let l be 0*3*(-2)/18. Determine g so that -g + 3/2*g**2 + l = 0.
0, 2/3
Let y(o) = -5*o**4 - 30*o**3 - 54*o**2 - 34*o. Let z(v) = -v**2 - v. Let b(m) = y(m) + 6*z(m). Find k such that b(k) = 0.
-2, 0
Factor -2975*s**2 + 28*s - 100 + 2974*s**2 - 8*s.
-(s - 10)**2
Let x(q) be the first derivative of q**4/2 - 8*q**3/3 - q**2 + 8*q + 9. Factor x(l).
2*(l - 4)*(l - 1)*(l + 1)
Let h(l) be the first derivative of -2*l**5/85 - l**4/17 - 2*l**3/51 - 6. Solve h(f) = 0 for f.
-1, 0
Let l be ((-49)/(-84))/((-1)/(-154)). Let b = 90 - l. Let 1/2*z**2 - 1/3 - b*z = 0. What is z?
-2/3, 1
Let z = 38 + -38. Let k(a) be the third derivative of z - 3*a**2 + 1/945*a**7 + 1/180*a**6 + 1/108*a**4 + 1/90*a**5 + 0*a**3 + 0*a. Factor k(x).
2*x*(x + 1)**3/9
Let g(c) be the third derivative of c**8/560 + 3*c**7/350 + 3*c**6/200 + c**5/100 - 5*c**2. Let g(r) = 0. Calculate r.
-1, 0
Suppose 4*j = -5 + 17. Suppose p - j*s + 2 = s, 2*p - 5*s + 1 = 0. Determine h, given that 5/2*h**3 + h**p - 7/2*h**4 + 0*h + 0 = 0.
-2/7, 0, 1
Suppose 6 = -3*w + 15. Suppose 0 = a - 3*a - w*q + 19, 7 = a + q. Factor 0 - 2/5*r**4 - 6/5*r**a - 6/5*r**3 - 2/5*r.
-2*r*(r + 1)**3/5
Let j(t) = t + 5. Let k be j(-5). Factor -1/2*h**4 + 0*h + k*h**3 + 0 + 1/2*h**2.
-h**2*(h - 1)*(h + 1)/2
Suppose -44/13*k**2 - 16/13*k**3 - 2*k - 4/13 = 0. What is k?
-2, -1/2, -1/4
Let x be 35/20 - 3/(-12). Find j, given that 1/3 + 0*j - 2/3*j**x + 1/3*j**4 + 0*j**3 = 0.
-1, 1
Let t be 1 + (-3)/4 - (-3)/6. Factor 0*u**2 + 0*u - t*u**4 - 3/4*u**3 + 0.
-3*u**3*(u + 1)/4
Let w(j) be the first derivative of j**6/10 - 3*j**4/20 - 6. What is h in w(h) = 0?
-1, 0, 1
Let t(v) = 2*v**3 + 2*v**2 - 2*v + 4. Let r(o) = -1. Let g(i) = 12*r(i) + 2*t(i). Factor g(s).
4*(s - 1)*(s + 1)**2
Let z be ((-6)/8)/((-2)/8). Let r = z - 0. Solve 4/7 - 2*q**r - 24/7*q**2 - 6/7*q = 0.
-1, 2/7
Find v such that -24*v**4 + 42*v**4 - 2*v**5 + 4*v**2 + 2*v + 0*v - 22*v**4 = 0.
-1, 0, 1
Let s(x) = 7*x**3 + 11*x**2. Let w(g) = 4*g**3 + 6*g**2. Let n(f) = -6*s(f) + 11*w(f). Solve n(r) = 0 for r.
0
Let m(t) be the second derivative of 0 - 1/3*t**4 + 4/3*t**3 - 2*t**2 - 4*t. Factor m(c).
-4*(c - 1)**2
Let m be ((-6)/60)/((-18)/10). Let q(i) be the second derivative of -i + 1/3*i**2 - 2/9*i**3 + 0 + m*i**4. Factor q(h).
2*(h - 1)**2/3
Let z(v) be the first derivative of 2*v**5/25 - v**4/2 + 6*v**3/5 - 7*v**2/5 + 4*v/5 + 15. Let z(a) = 0. What is a?
1, 2
Let v(o) be the third derivative of 5*o**8/672 - o**6/180 + o**3/3 + 3*o**2. Let z(s) be the first derivative of v(s). Factor z(c).
c**2*(5*c - 2)*(5*c + 2)/2
Suppose 0 = 2*g - 23 + 19. Let l be (8/(-70))/(2/(-10)). Solve 10/7*j - l - 8/7*j**g + 2/7*j**3 = 0 for j.
1, 2
Let x(v) = -v - 7. Let p be x(-9). Solve -15*u**2 - 3*u + 12 + 5*u**p + 12*u**3 - 9*u + 9*u**4 - 11*u**2 = 0.
-2, -1, 2/3, 1
Let i be 1 + ((-6)/(-2))/3. Suppose -9 = -p - i*p. Factor -2 - 3*g**2 - 2*g**p + 2*g**4 + 0*g**2 + g**3 + 5*g - g**4.
(g - 1)**3*(g + 2)
Let g(u) = -2*u**2 - 6*u. Let o(z) = z - 1. Let t(n) = g(n) + 4*o(n). Let h(j) = 4*j**2 + 3*j + 9. Let k(c) = 2*h(c) + 5*t(c). Find r, given that k(r) = 0.
-1
Factor 1/2*u**2 - 1/2*u - 1.
(u - 2)*(u + 1)/2
Determine j so that 15*j - 2*j + j - 6*j - 4*j**2 = 0.
0, 2
Suppose -4*c = -7*c - 15, -2*c = 2*w. Let -3/5*l**3 + 0*l + 0 - 1/5*l**2 - 3/5*l**4 - 1/5*l**w = 0. What is l?
-1, 0
Let z(t) be the third derivative of t**8/840 - 2*t**7/525 + t**5/75 - t**4/60 - 5*t**2. Factor z(o).
2*o*(o - 1)**3*(o + 1)/5
Let y(j) be the second derivative of -j**5/4 - 10*j**4/3 - 35*j**3/2 - 45*j**2 + 11*j. Factor y(b).
-5*(b + 2)*(b + 3)**2
Determine l so that -3*l**2 - 5 + 1 - 13*l**2 - 36*l - 4 = 0.
-2, -1/4
Let n(w) = -7*w**2 - 15*w - 2. Let p = -24 + 37. Suppose -2 = y + 4. Let x(i) = -14*i**2 - 31*i - 4. Let b(g) = p*n(g) + y*x(g). Factor b(d).
-(d + 1)*(7*d + 2)
Let k(z) = 10*z**3 - 2*z