 3*y**5/5 + 5*y**4/2 - 9*y**3/2 + 3*y**2 + y. Solve k(g) = 0 for g.
-1, 2/5, 1
Let u(h) be the first derivative of -4*h**3 - 12*h**2 + 44*h - 6. Let r(t) = 8*t**2 + 16*t - 29. Let l(g) = 8*r(g) + 5*u(g). Solve l(b) = 0 for b.
-3, 1
Let g(i) = -i**3 + 23*i**2 + 25*i - 22. Let d be g(24). Solve -4/9*o**d - 2/9*o + 2/9*o**5 + 0*o**3 + 0 + 4/9*o**4 = 0 for o.
-1, 0, 1
Let l(i) = 24*i - 8. Let t(c) = -c**2 - 50*c + 15. Let p(a) = -9*l(a) - 4*t(a). Factor p(s).
4*(s - 3)*(s - 1)
Solve 0 + 8/7*v + 16/7*v**2 + 2/7*v**4 + 10/7*v**3 = 0 for v.
-2, -1, 0
What is k in 0*k + 0*k**2 + 0 - 9/7*k**4 + 3/7*k**5 + 6/7*k**3 = 0?
0, 1, 2
Let d(f) be the third derivative of f**8/5040 - f**7/5040 + f**5/20 - 3*f**2. Let j(c) be the third derivative of d(c). Let j(k) = 0. Calculate k.
0, 1/4
Suppose 5*q**4 + 3*q**4 - 8*q**5 + 4*q**4 + 0*q**4 + 8*q**3 = 0. Calculate q.
-1/2, 0, 2
Let p(t) = t**2 + 2*t - 3. Let g(o) = o**2 + o - 2. Let w(b) = -3*g(b) + 2*p(b). Factor w(m).
-m*(m - 1)
Let g(o) be the second derivative of o**6/45 - o**5/15 - o**4/18 + 2*o**3/9 + o. Factor g(d).
2*d*(d - 2)*(d - 1)*(d + 1)/3
Let f = 17 + -11. Let h be -3 - -1*20/f. Let -2/3*y**2 + 0 + 1/3*y + h*y**3 = 0. Calculate y.
0, 1
Let j(x) be the second derivative of 0 + 0*x**3 - 3*x - 1/60*x**4 + 1/10*x**2. Find a such that j(a) = 0.
-1, 1
Let n be 10/2 + (-1127)/230. Let z(o) be the first derivative of 0*o**3 + 1 + 1/24*o**6 + 0*o**2 + 1/16*o**4 - n*o**5 + 0*o. Determine x so that z(x) = 0.
0, 1
Let j(n) be the third derivative of n**7/210 - n**6/360 - n**5/90 - 7*n**2. Factor j(f).
f**2*(f - 1)*(3*f + 2)/3
Let c = -16/7 - -101/35. Let i = c + -4/15. Let -2*a - i*a**2 - 3 = 0. What is a?
-3
Let q(k) be the third derivative of -1/60*k**5 + 0*k + 0 - 5*k**2 + 0*k**4 + 0*k**3 - 1/360*k**6. Factor q(z).
-z**2*(z + 3)/3
Let l(j) be the first derivative of 1/2*j**4 + j**6 - 2/3*j**3 + 1 + 0*j + 2*j**5 + 0*j**2. Factor l(i).
2*i**2*(i + 1)**2*(3*i - 1)
Let o(s) be the third derivative of s**8/1680 + s**7/350 + s**6/200 + s**5/300 - 3*s**2. Factor o(l).
l**2*(l + 1)**3/5
Let g(u) be the first derivative of -2 + 0*u + 1/3*u**2 + 1/9*u**3. Suppose g(x) = 0. What is x?
-2, 0
Let f(b) = 25*b**5 + 35*b**4 + 14*b**3 + 4*b**2 + 4*b. Let z(k) = 25*k**5 + 35*k**4 + 15*k**3 + 5*k**2 + 5*k. Let u(j) = -5*f(j) + 4*z(j). Factor u(q).
-5*q**3*(q + 1)*(5*q + 2)
Let h(p) be the third derivative of p**8/112 + 2*p**7/35 + 3*p**6/20 + p**5/5 + p**4/8 + 7*p**2. Solve h(a) = 0.
-1, 0
Let c(k) be the first derivative of k**7/560 + k**6/160 + k**5/160 + 7*k**2/2 - 2. Let f(z) be the second derivative of c(z). Factor f(h).
3*h**2*(h + 1)**2/8
Let g = 100/423 + -2/141. Factor 0 + g*r**4 + 0*r + 4/9*r**2 - 2/3*r**3.
2*r**2*(r - 2)*(r - 1)/9
Let j(l) be the second derivative of -l**6/135 - l**5/45 + 2*l**3/27 + l**2/9 + 26*l. What is a in j(a) = 0?
-1, 1
Let s(z) be the second derivative of -z**5/30 + z**4/3 - 4*z**3/3 + z**2 + 2*z. Let o(g) be the first derivative of s(g). Solve o(x) = 0.
2
Let z(w) be the third derivative of -w**4/8 - 19*w**3/6 - 14*w**2. Let x be z(-7). Factor 0 + 0*b**4 + 0*b**x - 2/3*b**3 + 1/3*b + 1/3*b**5.
b*(b - 1)**2*(b + 1)**2/3
Let p be -3 + (-85)/(-4) + 1. Let c = 749/36 - p. Factor 0 + 10/9*v**4 + 0*v**2 + 0*v + c*v**5 - 4/9*v**3.
2*v**3*(v + 1)*(7*v - 2)/9
Let c(h) be the third derivative of -h**5/510 + h**4/102 + 8*h**3/51 + 33*h**2. Find l such that c(l) = 0.
-2, 4
Let f(n) be the third derivative of n**5/30 + 7*n**4/36 - 2*n**3/3 + 12*n**2. Factor f(i).
2*(i + 3)*(3*i - 2)/3
Let h(s) = -6*s**3 + 5*s**2 + s. Let m(g) = g + 8*g**2 - 2*g**2 + 3*g**3 - 8*g**3 - 2*g**3. Let d(j) = -6*h(j) + 5*m(j). Let d(k) = 0. What is k?
-1, 0, 1
Factor 5*q**2 - 15*q + 17*q - 3*q**2 - 3 - 1.
2*(q - 1)*(q + 2)
Let u(o) be the first derivative of 3*o**4/8 - 3*o**3 + 9*o**2 - 12*o - 1. Factor u(m).
3*(m - 2)**3/2
Let f(a) = 4*a**2 + 41*a + 12. Let t be f(-10). Factor 0 - 2/7*s**t - 4/7*s.
-2*s*(s + 2)/7
Let z = 12 - 8. Suppose 4*n = -b + 15 - 1, -4*b = 4*n - 8. Factor -2*a**3 + 3*a**n + 4*a**4 - a**3 - 3*a**5 - a**z.
-3*a**3*(a - 1)**2
Let d = -4 + 3. Let i be d + 8/3 + -1. Factor 2/3*m**2 + i*m + 0.
2*m*(m + 1)/3
Let w be (-102)/(-4) - 6/2. Let q = w + -22. Determine n so that 1/2*n**3 + 0*n + 0 + q*n**2 = 0.
-1, 0
Solve 5/4*d - 1/4*d**3 - 1/4*d**2 - 3/4 = 0.
-3, 1
Let z(h) be the second derivative of 10*h**7/21 - 16*h**6/15 - 4*h**5/5 + 10*h**4/3 - 2*h**3/3 - 4*h**2 + 24*h. Factor z(l).
4*(l - 1)**3*(l + 1)*(5*l + 2)
Factor -32/3*q**2 + 4/3*q**3 + 200/3 + 20/3*q.
4*(q - 5)**2*(q + 2)/3
Let g(o) = 2*o**3 - 50*o**2 - 3*o + 77. Let u be g(25). Factor -4/5*v + 4/5*v**u - 8/5.
4*(v - 2)*(v + 1)/5
Suppose 27*f**5 + 57*f**3 + 60*f**2 - 72*f + 77*f**4 - 12 - 159*f**2 - 65*f**4 + 87*f**4 = 0. Calculate f.
-2, -1/3, 1
Factor -3*i**5 + 6*i**3 - 6*i**4 + 8*i**4 + i**5 - 2*i**3.
-2*i**3*(i - 2)*(i + 1)
Suppose -3*g + 0*g + 333 = 0. Let u = -549/5 + g. Suppose 0*z - 2/5*z**2 + 6/5*z**3 + 2/5*z**5 - u*z**4 + 0 = 0. What is z?
0, 1
Suppose 4*u + 12 = 2*s + s, -4 = -3*u - s. Let v(q) be the second derivative of -1/24*q**4 + q + 0 - 1/6*q**3 + u*q**2. Factor v(y).
-y*(y + 2)/2
Suppose -3*r = 4*d + 16, d + 3*r = 2*d + 4. Let n be ((d/5)/(-2))/1. Factor n*j**2 - 6/5*j + 4/5.
2*(j - 2)*(j - 1)/5
Let g(h) be the second derivative of 1/28*h**7 + 3/20*h**6 + 1/8*h**4 + 9/40*h**5 + 0*h**2 - h + 0 + 0*h**3. What is s in g(s) = 0?
-1, 0
Suppose -46*y + 48*y - 8 = 0. Factor -y*d**4 - 48/7*d**2 - 6/7*d**5 - 22/7*d - 52/7*d**3 - 4/7.
-2*(d + 1)**4*(3*d + 2)/7
Let w = -5 + 8. Solve 2/5*k**2 + 0*k - 2/5*k**4 + 0 + 2/5*k**5 - 2/5*k**w = 0 for k.
-1, 0, 1
Let r = -1/2512 - -10051/7536. Let s**3 - r*s**2 - 1/3*s + 2/3 = 0. Calculate s.
-2/3, 1
Let h(g) = g + g**2 - 1 + g**2 + 9*g - g**2 - 4*g**3. Let n(j) = -15*j**3 + 5*j**2 + 41*j - 5. Let p(k) = -26*h(k) + 6*n(k). Find c such that p(c) = 0.
-1, -2/7, 1
Let r = -28 + 32. Let a(j) be the second derivative of 0*j**3 + 0*j**2 - 1/36*j**r + 0 - 2*j. Let a(v) = 0. What is v?
0
Factor -y + 90*y**3 - 8*y**2 - 92*y**3 - 5*y.
-2*y*(y + 1)*(y + 3)
Let a(j) be the second derivative of -1/8*j**2 - 1/8*j**3 + j - 1/80*j**5 + 0 - 1/16*j**4. Factor a(m).
-(m + 1)**3/4
Let w(b) be the third derivative of -b**6/600 - b**5/75 - b**4/24 - b**3/15 - 2*b**2. Factor w(j).
-(j + 1)**2*(j + 2)/5
Let u(j) be the second derivative of -j**5/70 - j**4/14 + j**3/21 + 3*j**2/7 + 6*j. Factor u(w).
-2*(w - 1)*(w + 1)*(w + 3)/7
Let b(w) be the first derivative of 21*w**5/20 + 11*w**4/6 - w**3/6 - w**2 + 3*w - 3. Let n(s) be the first derivative of b(s). Solve n(j) = 0.
-1, -1/3, 2/7
Let p(y) be the second derivative of -y**4/18 + y**3/9 - 11*y. Let p(i) = 0. What is i?
0, 1
What is x in 6*x**3 - 193*x**2 + 98*x**2 + 92*x**2 - 3*x**4 = 0?
0, 1
Let a be 3 + 1 - 30/9. Let d(g) be the first derivative of 4/3*g - 1/3*g**3 + 1/15*g**5 - 1/6*g**4 + a*g**2 - 2. Solve d(t) = 0.
-1, 2
Let d be ((-10)/35)/((-3)/21). Factor -18*z**4 - 7*z**5 - d*z**3 + 0*z**5 + 9*z**4.
-z**3*(z + 1)*(7*z + 2)
Suppose 0*y - 96/5*y**3 - 128/5*y**2 + 0 - 2/5*y**5 - 24/5*y**4 = 0. Calculate y.
-4, 0
Let a be (-10)/(-6)*((-63)/5 - -13). Factor -2/3*u**3 + 4/3*u**2 - a*u**4 + 0*u + 0.
-2*u**2*(u - 1)*(u + 2)/3
Solve 1/4*p**5 + 6*p**3 + 8*p**2 + 4*p + 2*p**4 + 0 = 0.
-2, 0
Let l(s) be the third derivative of s**8/23520 + s**7/1470 + s**6/280 + 7*s**4/24 - 8*s**2. Let j(c) be the second derivative of l(c). Factor j(d).
2*d*(d + 3)**2/7
Let z(u) be the second derivative of -5*u**7/42 + u**6/3 - u**5/4 + 21*u. Factor z(t).
-5*t**3*(t - 1)**2
Let x(a) = a - 1. Let p(o) = -5*o**2 - 100*o - 395. Let i(j) = -p(j) - 10*x(j). Factor i(t).
5*(t + 9)**2
Let x(a) be the third derivative of 0 + 0*a - 19/630*a**7 - 1/144*a**8 + 0*a**3 + 1/60*a**6 - 1/9*a**4 + 7/45*a**5 + a**2. Suppose x(q) = 0. Calculate q.
-2, 0, 2/7, 1
Let i(k) be the second derivative of k**7/16 - k**6/10 + k**5/20 - k**3/2 - 2*k. Let r(s) be the second derivative of i(s). Factor r(a).
3*a*(5*a - 2)*(7*a - 2)/2
Let s = 5 + -3. Let x(d) be the second derivative of 1/18*d**4 + 1/60*d**5 + 0 + 1/18*d**3 + 0*d**s + d. Factor x(o).
o*(o + 1)**2/3
Let y be (-1)/(((-6)/3)/6). Let v(d) be the third derivative of 0*d**3 + 0 + 0*d + y*d**2 + 1/24*d**4 + 0*d**5 - 1/120*d**6. Solve v(z) = 0.
-1, 0, 1
Let t(l) be the t