9 - 4*m**3/13 - m**2/13 + 3*m. Factor k(r).
-2*(r + 1)**2*(5*r + 1)**2/13
Suppose 0 = 3*b - 8*b. Let m(n) be the third derivative of 3/10*n**5 + 4/15*n**3 - 1/12*n**6 - 2/5*n**4 + 2*n**2 + 0*n + b. Let m(z) = 0. Calculate z.
2/5, 1
Let t(g) = -2*g**3 - 2*g**2 + 2. Let o(y) = y**4 - y**3 - y**2 + 1. Let n(s) = 4*o(s) - 2*t(s). Factor n(v).
4*v**4
Let i(x) = 5*x**3 + 10*x**2 - 25*x. Let w(m) = -7*m**3 - 15*m**2 + 38*m. Let c(j) = -8*i(j) - 5*w(j). Solve c(k) = 0 for k.
-2, 0, 1
Let s = -3 - 4. Let z(y) = -6*y**2 - 3*y - 3. Let t(c) = c**3 - 13*c**2 - 7*c - 7. Let k(p) = s*z(p) + 3*t(p). Factor k(n).
3*n**2*(n + 1)
Let r(z) be the second derivative of z**7/210 + z**6/30 + 7*z**5/100 - z**4/60 - 4*z**3/15 - 2*z**2/5 + 24*z. Let r(u) = 0. What is u?
-2, -1, 1
Let g = 58 - 170/3. Let c = 595/3 - 195. Solve g*u**5 - 2/3*u + 0 - c*u**4 + 2*u**3 + 2/3*u**2 = 0.
-1/2, 0, 1
Let m(l) be the second derivative of -3*l - 1/12*l**4 + 0*l**3 + 0*l**2 - 1/10*l**5 + 0 - 1/30*l**6. Suppose m(a) = 0. Calculate a.
-1, 0
Let d(f) be the second derivative of -f**7/399 + f**6/285 - f. Factor d(l).
-2*l**4*(l - 1)/19
Let b = -45 + 49. Let n(q) be the third derivative of 1/60*q**5 - 2*q**2 + 1/24*q**b + 0*q + 0 - 1/3*q**3. Factor n(y).
(y - 1)*(y + 2)
Let f(t) be the second derivative of t**5/5 - t**4/12 - 2*t**3/3 + t**2/2 - 9*t. Factor f(o).
(o - 1)*(o + 1)*(4*o - 1)
Let x(b) be the first derivative of -3*b**5/20 + 3*b**4/8 - b**3/4 + 5. Factor x(y).
-3*y**2*(y - 1)**2/4
Let a be 4/(-1 - (0 + -3)). Factor -a + 5*b**4 - 5*b**4 - 9*b + 9*b**3 - 5*b**2 + 7*b**4.
(b - 1)*(b + 1)**2*(7*b + 2)
Let l(p) be the second derivative of 5*p**7/14 + 2*p**6/3 - p**5/4 - 5*p**4/6 + 8*p - 1. Solve l(q) = 0 for q.
-1, 0, 2/3
Let b(x) be the first derivative of 2/11*x + 1/22*x**4 + 3/11*x**2 + 2/11*x**3 + 4. Factor b(h).
2*(h + 1)**3/11
Let t = 2 + -4. Let i be 44/8 + 6/t. Factor 2*b**3 + 1/4 + 1/4*b - i*b**2.
(b - 1)*(2*b - 1)*(4*b + 1)/4
Let 2*s**4 - 3*s**3 + 3*s**4 - 3*s**5 - 11*s**4 = 0. Calculate s.
-1, 0
Let u be (-3)/6*(-12)/21. Factor -u*d**5 - 2/7*d + 2/7 - 4/7*d**2 + 4/7*d**3 + 2/7*d**4.
-2*(d - 1)**3*(d + 1)**2/7
Let h = 2133/7 + -145107/476. Let m = 2/17 - h. Factor -f**2 + m*f**3 + f + 0.
f*(f - 2)**2/4
Let c(g) be the first derivative of -1/4*g + 0*g**2 + 0*g**4 + 1 - 1/20*g**5 + 1/6*g**3. Find f, given that c(f) = 0.
-1, 1
Suppose 0 = i - 5*i + 12. Let q = i - 5/2. Let 2*d - 3/2*d**4 + q - 2*d**3 + d**2 = 0. Calculate d.
-1, -1/3, 1
Let k(i) be the third derivative of -i**5/12 - 5*i**4/3 - 35*i**3/6 - 23*i**2. Find p such that k(p) = 0.
-7, -1
Suppose -24 + 3*l**3 - 42*l**2 + 25*l + 6*l**3 + 35*l = 0. What is l?
2/3, 2
Let z(n) = -33*n - 95. Let t be z(-3). Suppose 0*a**3 + 0*a + 1/3*a**2 - 1/6*a**t - 1/6 = 0. Calculate a.
-1, 1
Suppose 2*t - 2 = 2. Let o be 2 + 0 - t/(-2). Determine j, given that 27*j**2 + 14*j**o + 1 + 9*j + 8*j**3 + 5*j**3 = 0.
-1/3
What is i in -10*i + 17*i**2 + 4*i**3 - 569 + 564 - 6*i = 0?
-5, -1/4, 1
Let v(w) be the first derivative of -w**6/42 + w**5/35 + w**4/28 - w**3/21 - 5. Suppose v(f) = 0. Calculate f.
-1, 0, 1
Let x be -3 + 76/24 + 2/6. Let g(m) be the first derivative of -2*m**2 - 19/6*m**3 - 2 - 3/2*m**4 - x*m. Factor g(z).
-(z + 1)*(3*z + 1)*(4*z + 1)/2
Let j be (-1 - 2)*(-5)/15. Let a = 3 + j. Factor 5*w**4 - 8*w**2 + 40*w**3 - 32*w**a - 23*w**4.
-2*w**2*(5*w - 2)**2
Let d(z) = -z + 6. Let l be d(5). Let u(h) = -h. Let n(m) = -3*m**2 + 11*m - 6. Let r(o) = l*n(o) + 2*u(o). Factor r(i).
-3*(i - 2)*(i - 1)
Let a(p) be the third derivative of 8*p**7/105 - 3*p**6/10 - 2*p**5/15 + 3*p**4/2 - 4*p**3/3 - 44*p**2. Solve a(k) = 0 for k.
-1, 1/4, 1, 2
Let d(f) = -3*f**4 - 2*f**3 + 3*f**2 - 4*f + 6. Let k(l) = l - 1. Let a(z) = d(z) + 6*k(z). Factor a(r).
-r*(r - 1)*(r + 1)*(3*r + 2)
Let n be ((-12)/8)/(-3)*6. Let g(a) be the first derivative of -a + 1/4*a**4 + 1/3*a**n - 1/2*a**2 + 2. Find l such that g(l) = 0.
-1, 1
Let m(l) be the second derivative of -l**4/30 + 2*l**3/5 - 8*l**2/5 + 26*l. Factor m(n).
-2*(n - 4)*(n - 2)/5
Let y = -1/10 + 13/30. What is h in h + y + 1/3*h**3 + h**2 = 0?
-1
Factor 0*j**4 + j**4 + 2*j**2 - 2*j**4 + j**3.
-j**2*(j - 2)*(j + 1)
Let g(t) = -t**3 - 2*t**2 - 5*t - 4. Let w(o) = -2*o**3 - 5*o**2 - 11*o - 8. Let m(d) = 5*g(d) - 3*w(d). Factor m(p).
(p + 1)*(p + 2)**2
Let p be 14/(-21) + (-20)/(-3). Let l(r) be the second derivative of -1/70*r**5 + 0*r**3 + 2/105*r**p + 2*r - 1/42*r**4 + 0*r**2 + 0. Factor l(d).
2*d**2*(d - 1)*(2*d + 1)/7
Let g be (15/(0 + 3))/1. Let c(f) be the first derivative of -2 + 3/14*f**4 + 0*f + 6/35*f**g + 1/21*f**6 + 2/21*f**3 + 0*f**2. Let c(r) = 0. Calculate r.
-1, 0
Let f(c) = -c + 13. Let u be f(8). Factor 4*o**4 + 0*o**u + 2*o**5 + 19*o**3 - 17*o**3.
2*o**3*(o + 1)**2
What is a in -4*a**2 - 8*a**3 + 0*a**4 + 20*a**5 - 4*a**4 - a**4 - 21*a**5 = 0?
-2, -1, 0
Let d be (1 + (2 - 4))*-3. Suppose 2/5*q**2 - 1/5*q**5 + 2/5*q**d - 1/5*q**4 - 1/5*q - 1/5 = 0. What is q?
-1, 1
Let w(i) be the third derivative of 3*i**8/28 + 47*i**7/70 - i**6/8 - i**5/5 + 16*i**2. Find k, given that w(k) = 0.
-4, -1/4, 0, 1/3
Let d(h) be the second derivative of h**7/21 + 4*h**6/15 + 2*h**5/5 - h**4/3 - 5*h**3/3 - 2*h**2 + 22*h. Factor d(m).
2*(m - 1)*(m + 1)**3*(m + 2)
Let g(z) = 8*z**2 + 25*z + 70. Let i(n) = 7*n**2 + 26*n + 71. Let r(f) = -4*g(f) + 5*i(f). Factor r(q).
3*(q + 5)**2
Let q = 12 + -12. Suppose -r = -5*x + 20 - q, -5*x = -2*r - 15. Find w such that -2 - 4*w**4 + 17/4*w**3 + 17/2*w**2 - 7/4*w**5 - x*w = 0.
-2, -2/7, 1
Let k(o) be the first derivative of -8*o**5/15 - 2*o**4/3 + 14*o**3/9 - 2*o**2/3 - 19. Find u, given that k(u) = 0.
-2, 0, 1/2
Let x be 2 + (174/(-36) - -3). Let r(l) be the second derivative of x*l**3 - l + 0 + 1/24*l**4 + 1/4*l**2. Determine b so that r(b) = 0.
-1
Factor -1/4 + 0*z**3 + 1/2*z**2 + 0*z - 1/4*z**4.
-(z - 1)**2*(z + 1)**2/4
Let a(j) be the third derivative of 1/24*j**3 + 0*j + 0*j**6 + 4*j**2 - 1/120*j**5 + 0 + 1/840*j**7 + 0*j**4. Find q such that a(q) = 0.
-1, 1
Let w(m) be the first derivative of -5*m**6/6 - 8*m**5/5 + m**4 + 10*m**3/3 + m**2/2 - 2*m - 4. Factor w(z).
-(z - 1)*(z + 1)**3*(5*z - 2)
Let o(y) be the first derivative of y**6/21 - 2*y**4/7 + 4*y**3/21 + 3*y**2/7 - 4*y/7 - 62. What is a in o(a) = 0?
-2, -1, 1
Let s(f) = f**2. Let j(l) be the first derivative of 5*l**3/3 - l + 1. Suppose -8*n = -5*n - 3. Let m(k) = n*j(k) - 4*s(k). Factor m(y).
(y - 1)*(y + 1)
Let c(q) = q**2 - 8*q + 2. Let z be c(8). Factor 2 + 0*r + 3*r - 2*r + 0*r**z - 3*r**2.
-(r - 1)*(3*r + 2)
Let n(y) be the first derivative of -y**5/210 + y**4/14 - 3*y**3/7 - 3*y**2/2 + 2. Let l(f) be the second derivative of n(f). Factor l(z).
-2*(z - 3)**2/7
Let w(f) be the first derivative of 2 - 9*f - 3/2*f**4 + 21/2*f**2 - 10/3*f**3 + 1/6*f**6 + 3/5*f**5. Suppose w(g) = 0. What is g?
-3, 1
Let n(z) be the second derivative of -2*z**2 + 0*z**4 + 1/20*z**5 + 1/40*z**6 + 0 + 0*z**3 + 4*z. Let s(c) be the first derivative of n(c). Factor s(k).
3*k**2*(k + 1)
Suppose -3*h = -4*s + 25 - 2, s - h = 7. Let k be (-28)/(-16) + s/8. Suppose -3*v**2 + 2 + 3*v + 3*v**2 + v + k*v**2 = 0. Calculate v.
-1
Suppose 0 = 4*d - 24. Let j(r) = -r**2 + 6*r + 3. Let s be j(d). Let 5*p**2 - 8*p + s + p**2 - 1 = 0. Calculate p.
1/3, 1
Suppose 3 = p - 0. Factor 12*n**3 + p*n + 11*n**2 + n**2 - 27*n**2.
3*n*(n - 1)*(4*n - 1)
Let k(u) = 3*u**2 + 2*u + 9. Let i(p) = -8*p**2 - 7*p - 26. Let a(g) = 6*i(g) + 17*k(g). Suppose a(r) = 0. Calculate r.
-1/3, 3
Let l(z) be the third derivative of 0 + 0*z + 4/105*z**7 + 0*z**3 + 3*z**2 + 1/30*z**5 + 1/12*z**6 + 0*z**4. Determine o so that l(o) = 0.
-1, -1/4, 0
Let q(x) = x**4 + 2*x**3 - 1. Let k(r) = 3*r**4 + 4*r**3 + r - 3. Let u(v) = 4*k(v) - 10*q(v). Factor u(w).
2*(w - 1)**3*(w + 1)
Let c = 0 + 1/2. Let j be (3 + -2)*0/(-1). What is x in -c*x**3 + 0*x - 1/2*x**4 + 0 + j*x**2 = 0?
-1, 0
Let b(z) = 4*z**2. Let s = -3 + 2. Let o be b(s). Factor -2*x**4 + 0*x**2 - 2*x**2 + o*x**3 + 0*x**4.
-2*x**2*(x - 1)**2
Let m(s) = s**5 - 9*s**4 - 3*s**3 + s**2 - 3. Let y(i) = -2*i**5 + 26*i**4 + 10*i**3 - 2*i**2 + 8. Let g(x) = 8*m(x) + 3*y(x). Let g(z) = 0. What is z?
-1, 0
Let -2/7*p**2 - 8/7 - 8/7*p = 0. What is p?
-2
Suppose 11*t - 8*t + 72 = 0. Let p be 2/(-7) + t/(-35). Solve -2/5*b**4 +