 third derivative of 1/210*d**5 + 4/21*d**3 + 0*d + 7*d**2 - 1/21*d**4 + 0. Factor w(m).
2*(m - 2)**2/7
Let p(n) be the first derivative of -n**3 - 9*n**2/8 + 3*n/4 + 3. Factor p(o).
-3*(o + 1)*(4*o - 1)/4
Let t(r) be the second derivative of 0*r**3 + 0*r**2 + 0 + 1/30*r**4 - r. Factor t(o).
2*o**2/5
Let n(t) be the third derivative of t**8/504 + 8*t**7/315 + t**6/10 - 3*t**4/4 - 4*t**2. Factor n(j).
2*j*(j - 1)*(j + 3)**3/3
Let p(l) be the second derivative of -1/6*l**3 + 1/20*l**5 - l**2 + l + 0 + 1/6*l**4. Find q, given that p(q) = 0.
-2, -1, 1
Let h(g) be the first derivative of -2/25*g**5 + 0*g - 3 + 1/10*g**4 - 1/5*g**2 + 2/15*g**3. Find i such that h(i) = 0.
-1, 0, 1
Let d(s) be the first derivative of -21*s**6 - 6/5*s**5 + 0*s + 2 + 31*s**4 - 8*s**2 + 8*s**3. Let d(j) = 0. Calculate j.
-2/3, 0, 2/7, 1
Let x(u) be the first derivative of u**4 - 4*u**3/3 - 8. Let x(o) = 0. Calculate o.
0, 1
Let q be 0*(-2)/4*1. Suppose q = -3*f + 7*f. Factor 0*c**3 + f*c + 2/5*c**4 - 4/5*c**2 + 2/5.
2*(c - 1)**2*(c + 1)**2/5
Let h(f) = 4*f**3 - 3*f**2 + 8*f - 5. Let w be h(1). Let -28/5*q**2 + 8/5 + w*q = 0. Calculate q.
-2/7, 1
Let o(v) be the first derivative of -v**6/51 - 4*v**5/85 + 10. Determine k so that o(k) = 0.
-2, 0
Let f(a) = -a**2 - 14*a - 22. Let k be f(-12). Find j such that 0*j**k - 4/3*j**3 - 2/3*j**4 + 4/3*j + 2/3 = 0.
-1, 1
Let o(l) be the second derivative of -2*l**3 - 1/10*l**6 - 3/2*l**4 - 3/2*l**2 - 3/5*l**5 - l + 0. Let o(n) = 0. Calculate n.
-1
Let m(b) be the first derivative of 21*b**5/5 - 69*b**4/4 + 20*b**3 - 6*b**2 + 3. Suppose m(g) = 0. What is g?
0, 2/7, 1, 2
Let w(v) be the second derivative of 0*v**3 + 0*v**5 + 0*v**2 + 2/27*v**4 + 0 - 1/189*v**7 - 5*v - 1/45*v**6. What is o in w(o) = 0?
-2, 0, 1
Let u(b) be the first derivative of -2/5*b**3 - 1/5*b**2 - 3/10*b**4 - 2/25*b**5 + 0*b + 2. Factor u(m).
-2*m*(m + 1)**3/5
Let i = 2 + 3. Let z(j) be the second derivative of 0*j**3 + 1/48*j**4 + 0 + 0*j**i + 2*j + 0*j**2 - 1/120*j**6. Solve z(s) = 0 for s.
-1, 0, 1
Let v be -2*(-2)/(-18)*3/(-14). Let q(h) be the second derivative of 3/10*h**5 + 0*h**2 + 0*h**3 - 2*h - 1/6*h**4 + 0 - 1/5*h**6 + v*h**7. Solve q(d) = 0.
0, 1
Let q(h) be the second derivative of -16*h**4/7 - 24*h**3/7 - 27*h**2/14 + 10*h. Suppose q(d) = 0. Calculate d.
-3/8
Let d be -1 + (-4)/(-6)*5. Let l(t) be the second derivative of -8/5*t**5 + 3/5*t**6 - 2/21*t**7 + t**2 - 2*t**3 - 2*t + 0 + d*t**4. Factor l(i).
-2*(i - 1)**4*(2*i - 1)
Let m(x) be the second derivative of 2*x**7/21 + 2*x**6/15 - 2*x**5/5 - 2*x**4/3 + 2*x**3/3 + 2*x**2 + 5*x. Solve m(i) = 0 for i.
-1, 1
Let k(s) be the second derivative of 3*s**5/40 - s**4/6 - s**3/3 - 2*s. Factor k(y).
y*(y - 2)*(3*y + 2)/2
Let g(q) = -11*q - 55. Let y be g(-5). Let l(n) be the third derivative of 1/20*n**4 + 2*n**2 + 0*n + 1/300*n**5 + y + 3/10*n**3. Factor l(v).
(v + 3)**2/5
Suppose 12*h**3 + 176*h**2 - 168*h**2 + 4*h**4 - 3*h + 3*h = 0. What is h?
-2, -1, 0
Factor 5*x**5 - 3*x**5 - 3*x**2 + 3*x**4 + 2*x**2.
x**2*(x + 1)**2*(2*x - 1)
Let z(o) = -o**3 - 6*o**2 - 6*o - 2. Let c be z(-5). Let s(f) = -f**3 - 9*f**2 + 10*f + 3. Let r be s(-10). Factor r*k**3 - k - 4*k**c + 2*k - k**4 + k**2.
-k*(k - 1)*(k + 1)**2
Let q be 204/15 + 4/10. Factor 5*d**2 + 20*d - d**3 - 7*d**2 + 5*d**3 - 8 - q*d**2.
4*(d - 2)*(d - 1)**2
Suppose 18*z**2 - 3*z**4 + 3*z + 6*z**3 - 3 - 2*z**4 - 9*z**5 - 10*z**4 = 0. Calculate z.
-1, 1/3, 1
Let v = 31 - 47. Let j be ((-12)/v)/(-3)*-12. Suppose -2/7*q + 2/7 + 2/7*q**j - 2/7*q**2 = 0. What is q?
-1, 1
Let b(j) be the first derivative of j**4/34 - 4*j**3/17 + 9*j**2/17 - 8*j/17 - 11. Factor b(h).
2*(h - 4)*(h - 1)**2/17
Let k be (-2)/(14/(-18) - 4/18). Let s(v) be the first derivative of 3/2*v**4 + 3 - 46/45*v**5 + 7/27*v**6 + 2/9*v**k - 26/27*v**3 + 0*v. Factor s(u).
2*u*(u - 1)**3*(7*u - 2)/9
Let o(x) be the first derivative of 2*x**3/27 - x**2/9 + 8. Determine j, given that o(j) = 0.
0, 1
Let p(d) be the first derivative of d**5/10 + 3*d**4/8 + d**3/2 + d**2/4 + 6. What is i in p(i) = 0?
-1, 0
Let 0*v**3 + 0*v**2 - 3/5*v**5 + 0*v + 3/5*v**4 + 0 = 0. Calculate v.
0, 1
Factor 4/7*m**2 - 16/7 - 12/7*m.
4*(m - 4)*(m + 1)/7
Let g(d) be the third derivative of 9/20*d**5 + 1/10*d**6 + d**2 + 3/4*d**4 + 0 + 0*d + 1/2*d**3. What is z in g(z) = 0?
-1, -1/4
Let g(m) be the second derivative of 2*m**7/21 - 4*m**6/15 + m**5/5 + 9*m. Find o, given that g(o) = 0.
0, 1
Suppose -2*s = 0, -5*v = -2*s + 2 - 17. Determine k so that k + 2*k**v - 3*k**3 + 0*k**3 = 0.
-1, 0, 1
Let d be 0 + 4 + -3 - -2. Factor -g**2 + g + 5*g**d + g**4 + 0*g**4 - 6*g**3.
g*(g - 1)**2*(g + 1)
Let v(x) = x - 3. Let p be v(5). Let n = p + 1. Solve -2/11 + 2/11*r**4 + 4/11*r**n - 4/11*r + 0*r**2 = 0.
-1, 1
Let v = 210 + -7348/35. Let z(q) be the first derivative of 0*q + 2/21*q**3 + 1/14*q**4 - 1/7*q**2 - 3 - v*q**5. Let z(k) = 0. What is k?
-1, 0, 1
Suppose 17 = -5*b - 3. Let p be 39/45 + b/6. Factor -1/5 + p*u**2 + 0*u.
(u - 1)*(u + 1)/5
Suppose 3*b + 14 = i, -3*i + 6*i - 22 = 4*b. Let h(d) be the first derivative of 2*d**i - 4*d - 1/3*d**3 - 2. Factor h(z).
-(z - 2)**2
Suppose -535 = 8*i - 551. Let -4/15 + 2/15*d + 22/15*d**i - 4/3*d**3 = 0. Calculate d.
-2/5, 1/2, 1
Let n(g) be the third derivative of g**7/630 + g**6/180 + g**4/12 - 6*g**2. Let k(y) be the second derivative of n(y). Factor k(x).
4*x*(x + 1)
Let p(v) = -4*v**4 + 44*v**2 - 40*v. Let c(m) = -m**4 + 9*m**2 - 8*m. Let h(g) = -16*c(g) + 3*p(g). Find k, given that h(k) = 0.
-2, 0, 1
Let u(y) be the second derivative of y**9/15120 + y**8/8400 - y**7/4200 - y**6/1800 - 5*y**3/6 - 6*y. Let q(m) be the second derivative of u(m). Factor q(v).
v**2*(v - 1)*(v + 1)**2/5
Let c(x) be the second derivative of 4*x**6/15 - 9*x**5/10 - x**4/3 + 3*x**3 - 2*x**2 + 7*x. Determine r so that c(r) = 0.
-1, 1/4, 1, 2
Let f(n) = -7*n**4 + 15*n**3 - 9*n**2 - n. Let k(x) = 13*x**4 - 30*x**3 + 19*x**2 + 3*x. Let d(i) = -10*f(i) - 6*k(i). Factor d(c).
-2*c*(c - 2)**2*(4*c + 1)
Let p(g) be the first derivative of 2*g**3/3 + g**2 - 4*g + 4. Factor p(r).
2*(r - 1)*(r + 2)
Let s(v) = -v**2 + 1. Let j = 11 + -6. Let p(z) be the third derivative of -z**5/10 - z**4/24 + 5*z**3/6 - 9*z**2. Let o(q) = j*s(q) - p(q). Factor o(r).
r*(r + 1)
Factor 0*g + 1/6*g**4 + 0*g**2 - 1/3*g**3 + 0.
g**3*(g - 2)/6
Let q(j) be the third derivative of 5*j**8/1176 - 13*j**7/735 + 3*j**6/140 + j**5/210 - j**4/42 + 7*j**2. Factor q(m).
2*m*(m - 1)**3*(5*m + 2)/7
Let o(r) be the third derivative of 0 + 0*r**3 + 1/540*r**6 - 2*r**2 - 1/108*r**4 - 1/270*r**5 + 1/945*r**7 + 0*r. Factor o(z).
2*z*(z - 1)*(z + 1)**2/9
Let q(n) be the third derivative of 8*n**2 + 0*n + 1/21*n**7 + 0 + 0*n**3 + 1/30*n**5 - 1/6*n**4 + 2/15*n**6. What is o in q(o) = 0?
-1, 0, 2/5
Factor 2*m**2 + 15*m**4 - 549*m**3 + 570*m**3 + 4*m**2.
3*m**2*(m + 1)*(5*m + 2)
Suppose -4*v = 4*n - 8, -5*n + 8*n - 4*v - 20 = 0. Determine q so that 4*q - n*q + 2*q**4 + 2*q**5 + q**3 - 2*q**2 - 3*q**3 = 0.
-1, 0, 1
Suppose d - 5 = -3. Suppose 3*q = 5*s + 6, q - 6*s = -d*s + 2. Find l such that 2/3*l + 10/3*l**q + 8/3*l**3 + 0 = 0.
-1, -1/4, 0
Suppose -19*n + 34 + 4 = 0. Determine y so that 1/2*y**5 + 0*y**n + 0*y**4 + 0 + 1/2*y - y**3 = 0.
-1, 0, 1
Let b(o) be the second derivative of -o**6/120 + o**5/20 - 2*o**3/3 - 2*o**2 - 5*o. Let s(t) be the first derivative of b(t). Factor s(r).
-(r - 2)**2*(r + 1)
Let b be (-6 - -4 - -34)*-1. Let s be (-24)/b*2/6. Factor 0*p + 1/4*p**2 - s.
(p - 1)*(p + 1)/4
Let i be ((-48)/(-18))/((-4)/(-6)). Factor 13*n**3 - n**i - 12*n**2 + n**4 - 6*n**4 + n**5 + 2*n + 2*n.
n*(n - 2)**2*(n - 1)**2
Let h(o) be the first derivative of o**6/75 + 3*o**5/50 + o**4/15 + 6*o - 6. Let f(s) be the first derivative of h(s). Factor f(m).
2*m**2*(m + 1)*(m + 2)/5
Suppose -16 = -6*a + 4*a. Factor a*c - 2*c**2 - 3*c - 2 - 4*c + 3*c.
-2*(c - 1)**2
Let j be (-1)/(-3) - 178/(-6). Let g(v) = v**3 - 3*v**2 - 7*v. Let k be g(5). Solve j*z**3 - k*z**2 + 4*z + 4*z**3 - 2*z - 21*z**4 = 0 for z.
0, 2/7, 1/3, 1
Let m(u) be the third derivative of -u**7/70 + 3*u**6/40 - u**5/10 - 2*u**2. Let m(o) = 0. Calculate o.
0, 1, 2
Let n(g) be the second derivative of -g**6/45 - g**5/10 - g**4/6 - g**3/9 - 2*g. Determine t so that n(t) = 0.
-1, 0
Let l(q) be the third deriv