**4 - m*k**2 + 24/7*k**3 = 0. Calculate k.
0, 2/5, 1
Let h(z) be the first derivative of -1/6*z**3 - 1 - 1/4*z**2 + z. Find k, given that h(k) = 0.
-2, 1
Let s be 1/(-1) + 7 + -3. Factor -3*r**4 + 0*r**s + r**2 + 2*r**4 + 0*r**4 - r**3 + r.
-r*(r - 1)*(r + 1)**2
Let j be 6/3 - 0/(-3). Let q = -4 - -7. Solve 2*p**2 - 3*p - j*p**5 + 4*p**q + p - 2*p**2 = 0 for p.
-1, 0, 1
Let b be 4 + ((-2)/1)/1. Let s(x) = -x + 14. Let n be s(12). Factor -p**n + 4*p**b - 2*p**3 - 2*p + p**2.
-2*p*(p - 1)**2
Let g(t) be the first derivative of -3*t**5/5 + 3*t**4/4 + t**3 - 3*t**2/2 + 18. Factor g(l).
-3*l*(l - 1)**2*(l + 1)
Let s(j) be the first derivative of -2*j**5/5 - j**4 + 14*j**3/3 - 4*j**2 - 25. Solve s(h) = 0 for h.
-4, 0, 1
Let i(q) be the first derivative of 3*q**5/5 - 3*q**4/4 - 2*q**3 + 5. Factor i(l).
3*l**2*(l - 2)*(l + 1)
Let u(v) = -5*v**4 - 24*v**2 + 3*v. Let m(b) = -b**4 - 6*b**2 + b. Let y(g) = -26*m(g) + 6*u(g). Factor y(c).
-4*c*(c - 1)**2*(c + 2)
Let 4/5*l**2 - 24/5 - 4/5*l = 0. Calculate l.
-2, 3
Let g(j) be the first derivative of -j**6/60 + j**5/20 - j**4/24 - 5*j + 1. Let h(u) be the first derivative of g(u). Factor h(x).
-x**2*(x - 1)**2/2
Let 1/2*p**2 + 25/2 - 5*p = 0. What is p?
5
Let b(r) be the second derivative of r**6/360 - r**5/180 - r**4/72 + r**3/18 - r**2 + 3*r. Let w(x) be the first derivative of b(x). Factor w(i).
(i - 1)**2*(i + 1)/3
Let u(v) be the first derivative of 4/9*v**6 + 6/5*v**5 - 1 + 0*v**2 + 0*v + 2/9*v**3 + v**4. Factor u(h).
2*h**2*(h + 1)**2*(4*h + 1)/3
Let g(u) be the second derivative of 5*u**7/49 + 26*u**6/105 + 13*u**5/70 + u**4/21 + 4*u. Solve g(a) = 0 for a.
-1, -2/5, -1/3, 0
Let z(s) be the first derivative of -3*s**6/2 - 3*s**5 + 8*s**4 + 8*s**3 - 24*s**2 + 16*s - 29. Find g, given that z(g) = 0.
-2, 2/3, 1
Let v(a) be the third derivative of a**8/100800 - a**7/4200 + a**6/400 - a**5/12 + 6*a**2. Let l(m) be the third derivative of v(m). Factor l(i).
(i - 3)**2/5
Factor -2/7 - 2/7*i**5 - 2/7*i + 4/7*i**2 + 4/7*i**3 - 2/7*i**4.
-2*(i - 1)**2*(i + 1)**3/7
Let w(p) = p**2 + 3*p. Let s(b) = b + 1. Let o(z) = 2*s(z) - w(z). Solve o(k) = 0.
-2, 1
Let f(r) be the second derivative of 2*r**7/15 + 6*r**6/25 + 2*r**5/25 - 3*r. Factor f(i).
4*i**3*(i + 1)*(7*i + 2)/5
Determine v so that 180*v + 40 + 110*v**2 - 150*v**4 - 35*v**5 - 77*v**3 - 51*v**3 - 41*v**3 + 24*v**3 = 0.
-2, -1, -2/7, 1
Let v = -199/3 - -67. Let j be (9/12)/((-3)/(-12)). Find x such that -2/3*x - v + 2/3*x**j + 2/3*x**2 = 0.
-1, 1
Let z(s) be the second derivative of 0 + 1/36*s**4 + 9*s + 0*s**2 - 1/9*s**3. Factor z(q).
q*(q - 2)/3
Let y(q) be the first derivative of -2*q**4/3 + 4*q**3/9 - q**2/12 + 7. Solve y(d) = 0 for d.
0, 1/4
Let j(a) be the third derivative of a**6/360 - a**4/72 - 19*a**2. Suppose j(c) = 0. What is c?
-1, 0, 1
Let u(v) be the third derivative of -v**8/50400 - v**7/3150 - v**6/600 - v**5/15 - 7*v**2. Let b(s) be the third derivative of u(s). Factor b(m).
-2*(m + 1)*(m + 3)/5
Let y = -5 + 12. Suppose 4*j = y*j. Let j - 4/3*o - 2/3*o**2 = 0. What is o?
-2, 0
Let d be (-4)/(-10) - (-3)/30. Factor 1/2*r**3 + 1/2*r**4 - d*r**2 - 1/2*r + 0.
r*(r - 1)*(r + 1)**2/2
Suppose -5*a = -2*a + 6. Let j be a + (-5)/((-5)/2). Factor -l**3 + 6 - 5 + 3*l**2 + j*l**2 - 3*l.
-(l - 1)**3
Let b(l) be the first derivative of 2*l**5/35 + l**4/14 - 2*l**3/21 - l**2/7 + 13. Suppose b(x) = 0. What is x?
-1, 0, 1
Suppose -15 = -5*d + 4*u - 3*u, -u = d + 3. Let i be (-2)/4 + 1/d. Factor i*v**2 - 1/2*v**4 + 1/2 + v**3 - v.
-(v - 1)**3*(v + 1)/2
Let v(s) be the third derivative of -1/420*s**7 + 0*s**4 + 4*s**2 - 1/12*s**3 + 0*s + 1/60*s**5 + 0*s**6 + 0. Find t such that v(t) = 0.
-1, 1
Let a = 9 + -3. Let 4*l**2 - 6*l - 2 - 2 - a*l**2 = 0. What is l?
-2, -1
Suppose 0 = -4*i - g + 11, 4*g - 6*g = 10. Let p(d) be the second derivative of 1/6*d**i + d + 0 - 2/3*d**3 + 0*d**2. Let p(b) = 0. What is b?
0, 2
Let l(g) be the second derivative of -g**6/240 + 11*g**5/80 - 7*g**4/4 + 245*g**3/24 - 343*g**2/16 - 5*g. Determine y so that l(y) = 0.
1, 7
Let i(m) = m**5 + m**4 - m**2 - m + 1. Let l(y) = y**5 + 22*y**4 - 42*y**3 + 44*y**2 - 31*y + 10. Let w(d) = 4*i(d) - l(d). Suppose w(h) = 0. Calculate h.
1, 2
Let d(q) be the second derivative of q**5/40 - q**4/24 - q**3/12 + q**2/4 - 2*q. What is i in d(i) = 0?
-1, 1
Let n = 131/48 + -1/16. Solve -5/3*r**2 + n*r - 4/3 + 1/3*r**3 = 0 for r.
1, 2
Let u(k) be the second derivative of -2*k**7/105 + 8*k**6/75 - 3*k**5/25 - 22*k. Let u(q) = 0. What is q?
0, 1, 3
Let f(m) = 9*m**2 - 11*m + 2. Let h(w) = -w**2 + w - 1. Let p(o) = -f(o) - 5*h(o). Let u(g) = g**2 - 2*g - 1. Let k(a) = 4*p(a) + 14*u(a). Factor k(n).
-2*(n + 1)**2
What is k in -1/4*k - 3/4*k**2 + 1/4*k**3 + 0 + 3/4*k**4 = 0?
-1, -1/3, 0, 1
Let d(y) = 190*y**4 - 675*y**3 + 810*y**2 + 485*y - 1080. Let i(c) = -7*c**4 + 25*c**3 - 30*c**2 - 18*c + 40. Let t(u) = -2*d(u) - 55*i(u). Factor t(o).
5*(o - 2)**3*(o + 1)
Let t(f) = -f**2 - 2*f + 3. Let z be t(1). Let -2/9*l**2 - 2/9*l**4 - 4/9*l**3 + z + 0*l = 0. What is l?
-1, 0
Let q(w) be the third derivative of -w**6/24 - w**5/6 + 5*w**4/24 + 5*w**3/3 + 8*w**2. Find f, given that q(f) = 0.
-2, -1, 1
Let h(p) be the second derivative of -p**7/140 + p**6/80 + p**5/20 - 2*p**2 + 5*p. Let z(s) be the first derivative of h(s). Determine v, given that z(v) = 0.
-1, 0, 2
Factor 8/5*i**4 - 2*i**3 - 4/5*i**2 + 0 + 6/5*i.
2*i*(i - 1)**2*(4*i + 3)/5
Suppose 3/4*f**3 - 3/4*f**2 - 3/2*f + 0 = 0. What is f?
-1, 0, 2
Let n(l) be the second derivative of 0*l**6 + 3*l + 0*l**2 - 3/70*l**5 + 0*l**3 - 1/21*l**4 + 1/147*l**7 + 0. Factor n(b).
2*b**2*(b - 2)*(b + 1)**2/7
Let z(b) = 2*b**3 + b**2 + 2*b + 1. Let d be z(-1). Let k = 4 + d. Factor 2/7*y**k + 0*y + 2/7*y**3 + 0 - 2/7*y**5 - 2/7*y**4.
-2*y**2*(y - 1)*(y + 1)**2/7
Let d(j) be the second derivative of -j**6/1620 - j**5/540 - 2*j**3/3 - j. Let b(p) be the second derivative of d(p). Solve b(n) = 0 for n.
-1, 0
Let v = -7 - -12. Let c = -3 + v. Factor -2/3*y + 0 - 2/3*y**c.
-2*y*(y + 1)/3
Let d(m) be the second derivative of m**6/6 - m**5/4 - 5*m**4/6 - 17*m. What is j in d(j) = 0?
-1, 0, 2
Let v(j) be the third derivative of j**8/1512 - j**7/105 + 13*j**6/270 - 17*j**5/135 + 7*j**4/36 - 5*j**3/27 - 24*j**2. Factor v(s).
2*(s - 5)*(s - 1)**4/9
Let t(w) = 6*w**2 + 9*w + 6. Suppose h - 5*h + 12 = 0. Let r(n) = n**2 + n + 1. Let k(a) = h*r(a) - t(a). Factor k(g).
-3*(g + 1)**2
Suppose 176*q = 178*q - 4. Factor z - 2/7*z**q - 2/7 - 3/7*z**3.
-(z - 1)*(z + 2)*(3*z - 1)/7
Let x be 86/18 + (-4)/(-18). Let -2*m**2 - 2*m**x + m - 6*m - 6*m**3 - 6*m**4 + 5*m = 0. Calculate m.
-1, 0
Suppose 0 = 26*f - 3*f + 6*f. Factor 2/3*q**2 - 2/3*q + f.
2*q*(q - 1)/3
Let i(c) = c**2 - 3*c - 3. Let a be i(4). Let r(n) be the first derivative of 0*n**4 - a - 4/3*n**3 + 2*n + 0*n**2 + 2/5*n**5. Factor r(p).
2*(p - 1)**2*(p + 1)**2
Determine l, given that 772/5*l**3 - 8/5 + 32/5*l**2 + 864/5*l**5 - 52/5*l + 312*l**4 = 0.
-1, -1/2, -1/3, -2/9, 1/4
Let j(k) be the first derivative of 0*k + 1/3*k**3 + 1/20*k**5 + 1/4*k**4 - 1 + 0*k**2. Factor j(r).
r**2*(r + 2)**2/4
Let i = 0 - -2. Suppose -4*j - i = -10. Factor 2*o**3 - j*o**2 + 0*o**3 - 4*o**3.
-2*o**2*(o + 1)
Let x(y) = y**2 + 3*y + 4. Let a be x(-3). Factor -t + t**2 - a*t**2 - 4 - 5*t + t**2.
-2*(t + 1)*(t + 2)
Suppose -6*y**3 + 5*y + 21 - 11 - 3*y**4 - 7 + y = 0. What is y?
-1, 1
Let x be (1/3)/(3/27). Let s be -1 - -2 - 7/21. Let 0*v**2 - 1/3*v**x - s + v = 0. What is v?
-2, 1
Suppose 4*v = -3*u + 20, -4*v - 30 = -5*u - 9*v. Suppose 2*n + 0 = u. Determine l, given that -n*l**2 + l**3 + 0*l**2 + 1 + l**2 - l = 0.
-1, 1
Let w(z) = -z**3 - z**2 - z. Let a(l) = -3*l**3 - 6*l**2 + 9*l - 6. Let p(c) = a(c) - 2*w(c). Suppose p(k) = 0. What is k?
-6, 1
Let -15/8*f**2 + 5/8*f**4 - 2*f + 1/4*f**3 - 1/2 = 0. What is f?
-1, -2/5, 2
Let k be (3/(-18))/((-2)/32). Let 8/3*o + k + 2/3*o**2 = 0. Calculate o.
-2
Let i(m) be the second derivative of -2*m**7/21 + 2*m**6/5 - 3*m**5/5 + m**4/3 - 4*m. Factor i(b).
-4*b**2*(b - 1)**3
Let l = -18 - -28. Suppose l = 6*w - w. Find x such that -w*x**3 + 7 + 0 - 7 - 2*x**2 = 0.
-1, 0
Suppose 0 = -4*m - x + 9, -27 = -m + 5*x - 9. Let b(c) be the second derivative of 0*c**m + 0*c**5 + 0 + 1/75*c**6 + 0*c**2 - 1/30*c**4 - c. Facto