5*v**3 - 24/5*v**2.
-3*v*(v + 1)*(v + 7)/5
Let s(i) = -13*i**2 + 8*i + 5. Let j(x) = -11*x**2 + 9*x + 4. Let b(u) = 5*j(u) - 4*s(u). Factor b(o).
-o*(3*o - 13)
Let g(w) be the second derivative of -w**7/840 + w**6/120 - w**5/60 - w**3/3 + 11*w. Let i(m) be the second derivative of g(m). Factor i(t).
-t*(t - 2)*(t - 1)
Find g, given that -2/3*g**4 + 10/3*g**2 + 2/3*g**5 + 0 - 2*g**3 - 4/3*g = 0.
-2, 0, 1
Let c(h) be the second derivative of 1/105*h**7 + 1/25*h**5 - 1/5*h**3 - 1/25*h**6 + 1/15*h**4 - 2*h + 1/5*h**2 + 0. Factor c(s).
2*(s - 1)**4*(s + 1)/5
Let z = -42 + 53. Determine y so that 4*y**4 - 27*y**2 + 2*y**5 + 6 + 6 + 12*y + z*y**4 - 21*y**3 + 7*y**5 = 0.
-2, -1, -2/3, 1
Let n(p) be the second derivative of -1/42*p**7 - p**2 + 1/3*p**4 + 0 + 1/10*p**5 - 1/6*p**3 - 6*p - 1/15*p**6. Suppose n(g) = 0. Calculate g.
-2, -1, 1
Factor 23*q**3 + 6*q + 0*q**3 + q**3 + 9*q**4 + 9*q**4 - 6*q**4 + 20*q**2 + 2*q**5.
2*q*(q + 1)**3*(q + 3)
Suppose 8*l - 11*l = 15. Let t(i) = i**2 + 6*i + 7. Let y be t(l). Factor -3/5*a**3 + 0*a + 1/5*a**4 + 2/5*a**y + 0.
a**2*(a - 2)*(a - 1)/5
Factor 2/7*o**2 + 64/7 - 66/7*o.
2*(o - 32)*(o - 1)/7
Suppose 5*k - 8103 = -8083. Find h, given that 64/5 - 8*h**3 - 32*h + 132/5*h**2 + 4/5*h**k = 0.
1, 4
Let z(f) = 2*f**3 - 39*f**2 + 188*f + 9. Let k be z(9). Factor 0 + k*p - 1/8*p**2 + 5/8*p**3.
p**2*(5*p - 1)/8
Let p be 1/(-5)*((-20175)/(-18))/5. Let t = p - -45. Solve -t*l**2 + 0 + 0*l - 1/6*l**4 + 1/3*l**3 = 0 for l.
0, 1
Suppose 5*z - 2 - 13 = 0. Determine f, given that 25*f**3 + 1 - 31*f**z - 3*f**4 - 1 = 0.
-2, 0
Suppose -22*v - 3*v = 0. Let j(t) be the first derivative of -3/4*t**4 + 3/5*t**5 + 1/3*t**3 - 1/6*t**6 + 8 + 0*t**2 + v*t. Suppose j(x) = 0. What is x?
0, 1
Let c be 27/12*39/351. Find b, given that -1/4*b**3 + 0 - c*b**4 + 5/4*b**2 - 3/4*b = 0.
-3, 0, 1
Find h such that 30 + 60*h**3 + 9*h**4 - h**4 - 15*h**4 + 2*h**2 - 24*h**4 - 61*h - h**4 + h**5 = 0.
-1, 1, 30
Suppose 4*g + 10 = -79*m + 77*m, -2*m - 6 = 6*g. Factor 1/3*c**g - 1/3 + 0*c.
(c - 1)*(c + 1)/3
Let g be (-72 - -74) + ((-1)/(-1) - -1). Let n(l) be the first derivative of 7/2*l**3 + 45/4*l**2 + g + 3/8*l**4 + 27/2*l. Solve n(k) = 0 for k.
-3, -1
Let s(a) be the first derivative of -a**4/14 + 26*a**3/21 - 55*a**2/7 + 150*a/7 - 470. Factor s(r).
-2*(r - 5)**2*(r - 3)/7
Let l(m) be the first derivative of -2*m**4 - 6 + 12/5*m**5 + 6*m**2 - 8/3*m**3 - 2/3*m**6 - 4*m. Factor l(i).
-4*(i - 1)**4*(i + 1)
Let t(i) be the first derivative of 4*i**6/21 + 4*i**5/5 + 5*i**4/7 - 20*i**3/21 - 2*i**2 - 8*i/7 - 174. Solve t(s) = 0.
-2, -1, -1/2, 1
Let m = -13806/5 - -2762. Factor -m*f**2 + 2/5 - 2/5*f.
-2*(f + 1)*(2*f - 1)/5
Let i(d) = -d**2 - 67*d - 812. Let u be i(-51). Factor 0 + 0*a + 0*a**3 + 5/3*a**2 - 5/3*a**u.
-5*a**2*(a - 1)*(a + 1)/3
What is m in -224/3*m**2 - 4*m**4 - 64/3 + 92/3*m**3 + 208/3*m = 0?
2/3, 1, 2, 4
Let o(s) = -9*s + 132. Let n be o(14). Let f(t) be the third derivative of 0*t + 1/165*t**5 + 0 + 5*t**2 + 0*t**4 + 1/660*t**n + 0*t**3. Factor f(m).
2*m**2*(m + 2)/11
Determine r so that -1/7*r + 4/7*r**2 + 1/7*r**3 - 4/7 = 0.
-4, -1, 1
Suppose -4*v - 15 + 6 = x, -3*v = 5*x - 40. Factor -10*k**2 + x*k**2 - 4 - k**2 - 2*k**3 + 6*k.
-2*(k - 1)**2*(k + 2)
Let m(q) be the second derivative of 6*q + 1 - 1/54*q**4 + 4/27*q**3 + 4/3*q**2. Factor m(d).
-2*(d - 6)*(d + 2)/9
Factor -1/2*u**2 + 0 + 25/2*u.
-u*(u - 25)/2
Let h(r) = 8*r**2 - r - 18. Let q(l) = -l**2 + l + 5. Let d(i) = 2*h(i) + 6*q(i). Determine n, given that d(n) = 0.
-1, 3/5
Factor -3*f**4 + f**4 + 6*f**2 - 164 + 2 + 46*f**2 - 16*f**2.
-2*(f - 3)**2*(f + 3)**2
Let x(u) = -u**2 - u + 1. Let r be x(-3). Let h be (-12)/10*r/2. Factor 8*j - j - 3*j**4 - 12*j**h + 12 + 5*j - 9*j**2.
-3*(j - 1)*(j + 1)*(j + 2)**2
Let v(u) be the second derivative of u**4/36 + 124*u**3/9 + 7688*u**2/3 - u - 13. Factor v(n).
(n + 124)**2/3
Suppose 0 = -3*q - 3*q. Let o(d) be the third derivative of -1/18*d**4 + 0*d + 1/90*d**5 + q + 5*d**2 + 1/9*d**3. Let o(k) = 0. What is k?
1
Let l(y) be the third derivative of y**6/540 - 49*y**5/270 + 95*y**4/108 - 47*y**3/27 - 89*y**2. Solve l(z) = 0 for z.
1, 47
Let p(j) = -j**3 - 1. Let y(h) = -5*h**3 - 85*h**2 - 5*h + 75. Let b(i) = 10*p(i) - y(i). Factor b(r).
-5*(r - 17)*(r - 1)*(r + 1)
Suppose 13*f + 17*f = 120. Let o(v) be the second derivative of -1/3*v**3 + 0 - 9/10*v**5 + 0*v**2 - f*v - v**4 - 4/15*v**6. Solve o(a) = 0 for a.
-1, -1/4, 0
Let i = -952 + 9521/10. Let d(q) be the second derivative of -1/2*q**2 - 1/30*q**6 + 10*q - 1/6*q**3 + 0 + i*q**5 + 1/6*q**4 - 1/42*q**7. Factor d(g).
-(g - 1)**2*(g + 1)**3
Let n(j) be the third derivative of -j**8/10080 - j**7/420 - j**6/72 - j**5/3 - 15*j**2. Let h(m) be the third derivative of n(m). Factor h(i).
-2*(i + 1)*(i + 5)
Let w(a) = -3*a**4 + 14*a**3 + 2*a**2 - 20*a + 1. Let y(g) = g**4 - 2*g - 1. Let l(c) = -w(c) + 3*y(c). Determine v so that l(v) = 0.
-1, 1/3, 1, 2
Let i(x) be the third derivative of 4*x**7/105 + 3*x**6/20 + x**5/15 - 6*x**2 + 33*x. Factor i(z).
2*z**2*(z + 2)*(4*z + 1)
Find u such that -6 + 11*u + 504*u**2 + u**3 + 515*u**2 - 1025*u**2 = 0.
1, 2, 3
Let h(m) be the third derivative of -m**7/1260 + 13*m**6/1080 + m**5/18 + 17*m**4/24 + 6*m**2. Let a(n) be the second derivative of h(n). Factor a(q).
-2*(q - 5)*(3*q + 2)/3
Let i(q) = -q**3 + 7*q**2 + q + 6. Let v be i(7). Let k = v + -51/4. Factor -1/4*z - k*z**3 + 0 + 1/2*z**2.
-z*(z - 1)**2/4
Let x(g) be the first derivative of -g**6/15 - 2*g**5/5 - g**4/2 - 28*g + 18. Let l(j) be the first derivative of x(j). Solve l(i) = 0 for i.
-3, -1, 0
Determine i, given that 1/4*i**3 - 3/4*i**2 + 3/4*i**4 + 0 - 1/2*i + 1/4*i**5 = 0.
-2, -1, 0, 1
Let g(f) be the first derivative of f**6/3 + 4*f**5 + 13*f**4/2 - 272*f**3/3 - 460*f**2 - 800*f - 116. What is k in g(k) = 0?
-5, -2, 4
Let v = 2566 + -7697/3. Factor 1/3 - 1/3*q**3 - v*q**2 + 1/3*q.
-(q - 1)*(q + 1)**2/3
Let r(c) = -6*c**2 - 22*c + 9. Let k(p) = -4*p**2 - 15*p + 6. Let t(g) = -7*k(g) + 5*r(g). Let t(q) = 0. Calculate q.
-3, 1/2
Factor 11 - 22 + 6*o**2 + 11 + 2*o**3 - 4*o**3 - 4*o.
-2*o*(o - 2)*(o - 1)
Let i(d) = -d + 12. Let l be i(-8). Find y such that -4*y**3 - 4*y**4 - 12*y**2 + 4*y**3 + 20*y - l*y**3 + 16 = 0.
-4, -1, 1
What is p in -82/7*p**2 - 11/7*p**3 + 72/7 - 1/7*p**5 + 10/7*p**4 + 12/7*p = 0?
-2, -1, 1, 6
Let k(h) be the second derivative of -81*h**5/5 - 123*h**4 + 352*h**3/3 - 40*h**2 - 39*h + 4. Determine b so that k(b) = 0.
-5, 2/9
Let d = -16 + 22. Factor 25*i**3 + 0 + 55*i + 65*i**2 + 21 - d.
5*(i + 1)**2*(5*i + 3)
Let o(c) be the third derivative of 0*c + 0*c**3 - 1/60*c**4 - 1/300*c**6 + 0 + c**2 - 1/75*c**5. Factor o(g).
-2*g*(g + 1)**2/5
Let a be (4 + -3)*-2 + 16 + 1. Find d, given that -70*d + d**4 - a*d**3 - 55*d + 80*d**2 - 6*d**2 + d**2 = 0.
0, 5
Let c be ((-14)/(-21))/((-4)/(-18)). Suppose 2*n = 3*n - c. Find z such that z - 4 + z**2 - z**n + 1 + 2 + 0*z = 0.
-1, 1
Suppose 5*c = 5*z + 15, -3*z + 11*c = 9*c + 4. Let s(h) be the second derivative of h + 1/18*h**4 + 1/90*h**5 + 0 + 0*h**z + 0*h**3. Find t such that s(t) = 0.
-3, 0
Let x(c) = -2*c - 12. Let i be x(-9). Suppose -6*v = -3*v - i. Find d such that -d**5 - 6*d + 47*d**4 - 50*d**4 + 3*d**2 + 9*d**3 - v*d**5 = 0.
-2, -1, 0, 1
Let l(x) be the third derivative of 3*x**8/224 + 2*x**7/35 - 7*x**6/120 - 2*x**5/15 - x**4/16 + 79*x**2. Find k, given that l(k) = 0.
-3, -1/3, 0, 1
Let b(t) be the first derivative of -27/4*t**2 - 17 - 2*t**3 - 3*t. Factor b(s).
-3*(s + 2)*(4*s + 1)/2
Factor -806*g**4 + 2*g**5 + 850*g**4 + 315*g**2 - 116 + 152 - 91*g**2 + 156*g**3 + 146*g.
2*(g + 1)**4*(g + 18)
Let m(p) be the first derivative of 5*p**3/3 - 9*p**2 - 17*p + 46. Let n(t) = 5*t**2 - 19*t - 16. Let a(c) = 4*m(c) - 3*n(c). Find h, given that a(h) = 0.
-1, 4
Let f = -2648 + 2648. Factor 0*r**3 - 3/4*r**2 + 3/4*r**4 + f*r + 0.
3*r**2*(r - 1)*(r + 1)/4
Let t(j) = 5*j**3 - 10*j**2 - 5*j - 5. Let d(l) = -5*l**3 + 12*l**2 + 5*l + 6. Let c(o) = 5*d(o) + 6*t(o). Find b, given that c(b) = 0.
-1, 0, 1
Let f(z) = 7*z**3 + 2*z**2 + 2. Let d(n) = -n - 21. Let u be d(-11). Let k(o) = o**3 - 1. Let l(p) = u*k(p) - 5*f(p). Factor l(q).
-5*q**2*(9*q + 2)
Let d(l) be the second derivative of -1/18*l**4 + 0*l**3 + 0*l**2 - 10*l + 0 - 1/120*l**5. Facto