 13*c**2/5 + 4*c/5 - 12. Solve a(b) = 0 for b.
-2, -1, -1/4
Factor -1/2*z**2 + 0 + 0*z.
-z**2/2
Factor 5/3*k - 2/3 + 1/3*k**3 - 4/3*k**2.
(k - 2)*(k - 1)**2/3
Let t = 635 + -631. Solve 0 - 6/13*x**t + 0*x - 2/13*x**2 - 2/13*x**5 - 6/13*x**3 = 0.
-1, 0
Let c(v) be the first derivative of v**7/84 + v**6/15 + v**5/15 - 5*v**3/3 - 4. Let x(n) be the third derivative of c(n). Factor x(t).
2*t*(t + 2)*(5*t + 2)
Let h be 3*(-895)/900 - -3. Let l(g) be the third derivative of 1/6*g**3 - 1/12*g**4 + 0*g + h*g**5 + 4*g**2 + 0. What is j in l(j) = 0?
1
Let t be (1/3)/(((-40)/6)/(-5)). Factor -1/2 - 3/4*u - t*u**2.
-(u + 1)*(u + 2)/4
Let k be 25*(-4)/(-30) + -3. Factor -k - 1/3*i**2 - 2/3*i.
-(i + 1)**2/3
Suppose 169*s**3 + 76*s**3 + 2062*s - 2042*s - 140*s**2 = 0. What is s?
0, 2/7
Let d(h) = -h**3 - 5*h**2 - 3*h. Let m be d(-4). Let z be 76/18 + m/18. Suppose -c**3 + z*c**2 - 4*c**2 = 0. Calculate c.
0
Factor -4*u + 10 + 2/5*u**2.
2*(u - 5)**2/5
Factor 0*z**2 + 4*z**2 - 4*z**3 + 0*z**3.
-4*z**2*(z - 1)
Suppose 3*z - b = 1, 5 = 5*z - 2*b + b. Factor z*y - 9*y - y**2 + 9*y.
-y*(y - 2)
Let r be (2 + -5)/(189/(-12)). Let c(o) be the first derivative of 1/7*o**2 + 0*o + 2 - r*o**3. Factor c(g).
-2*g*(2*g - 1)/7
Suppose 5*u - 12 = f, u - 10 = 5*f + 2. Let r be f + (2 - 4/(-16)). Solve -r*x**2 + 0 + 0*x = 0.
0
Let m(q) be the first derivative of -q**8/840 - q**7/420 + q**6/180 + q**5/60 - 2*q**3/3 - 3. Let s(v) be the third derivative of m(v). Factor s(t).
-2*t*(t - 1)*(t + 1)**2
Let g be ((-11)/(-22))/((-27)/(-12) + -2). Factor 1/2*m**g - m - 3/2.
(m - 3)*(m + 1)/2
Suppose -2*n = -5*n + 33. Let b(r) = 13*r**2 - 2*r. Let u(v) = 7*v**2 - v. Let j(g) = n*u(g) - 6*b(g). Solve j(s) = 0.
0, 1
Factor 1/3 + 0*w - 1/3*w**2.
-(w - 1)*(w + 1)/3
Let n(t) = 2*t**2 - 19*t + 13. Let j be n(9). Factor -2/3 - 2/3*k**j - 2/3*k - 2/3*k**5 + 4/3*k**2 + 4/3*k**3.
-2*(k - 1)**2*(k + 1)**3/3
Let k(s) be the third derivative of s**6/360 - s**5/60 + 5*s**3/6 - 3*s**2. Let j(t) be the first derivative of k(t). Factor j(z).
z*(z - 2)
Suppose -10*f = -13*f. Let u(q) be the first derivative of -2*q + 4*q**3 + f*q**2 - 1 - 4*q**4 + 6/5*q**5. Factor u(s).
2*(s - 1)**3*(3*s + 1)
Let k be -1 - ((-15)/(-4))/(-3). Factor k*b**2 + 0 + 0*b.
b**2/4
Let i(g) be the second derivative of -1/10*g**5 + 0 + 6*g + 0*g**2 + g**4 - 3*g**3. Factor i(k).
-2*k*(k - 3)**2
Factor 0*x**2 - 36 - 3*x**2 - 18*x**2 - 48*x - 3*x**3.
-3*(x + 2)**2*(x + 3)
Let p(f) = -3*f**2 + 9*f - 3. Let n(w) = 3*w**2 - 10*w + 2. Let z(x) = -3*n(x) - 2*p(x). Factor z(h).
-3*h*(h - 4)
Let x be 560/(-350)*(-10)/8. Find w such that 1/2 + 1/2*w**3 - 1/2*w**x - 1/2*w = 0.
-1, 1
Let l(b) = 4*b**3 - 11*b**2 - 17*b + 27. Let z(c) = 4*c**3 - 10*c**2 - 18*c + 26. Let t(x) = -2*l(x) + 3*z(x). Factor t(a).
4*(a - 3)*(a - 1)*(a + 2)
Factor -2/19*y + 8/19*y**4 + 8/19*y**2 - 12/19*y**3 + 0 - 2/19*y**5.
-2*y*(y - 1)**4/19
Let u be -3 - (-2)/4*-4. Let m be u/25 + 1/5. Find r, given that 0*r**4 + m*r**2 + 2/9*r + 0 + 2/9*r**5 - 4/9*r**3 = 0.
-1, 0, 1
Let i(v) be the first derivative of -3*v**4/8 - 2*v**3 - 9*v**2/4 + 17. Factor i(m).
-3*m*(m + 1)*(m + 3)/2
Suppose -3*r - 4 = -2*v - 3*v, -v - 2*r + 6 = 0. Let b(j) be the third derivative of 1/60*j**5 + 0 + 1/60*j**6 + 0*j - v*j**2 + 0*j**4 + 0*j**3. Factor b(f).
f**2*(2*f + 1)
Let n be (-5)/((-150)/(-12))*-2. Determine i, given that 0*i**2 + n*i**4 + 0 + 2*i**5 + 0*i**3 + 0*i = 0.
-2/5, 0
Let v(u) be the third derivative of 0 + 1/60*u**5 + 0*u**3 + 0*u + 1/8*u**6 + 1/48*u**8 + 3*u**2 + 19/210*u**7 - 1/12*u**4. Factor v(a).
a*(a + 1)**3*(7*a - 2)
Find x such that -2*x**2 + 24 + 27*x - 12*x - 7*x = 0.
-2, 6
Let w(c) be the second derivative of c**6/165 + 9*c**5/110 + 16*c. Factor w(k).
2*k**3*(k + 9)/11
Factor -1/2*j + 0 + 3/2*j**2 + 1/2*j**4 - 3/2*j**3.
j*(j - 1)**3/2
Let s(j) be the first derivative of 2*j**5/5 - j**4 - 8*j**3/3 + 2*j**2 + 6*j + 2. Factor s(u).
2*(u - 3)*(u - 1)*(u + 1)**2
Let -4/5*h + 1/5*h**2 + 0 = 0. What is h?
0, 4
Let o(h) be the third derivative of h**5/150 + h**4/10 + 3*h**3/5 + 5*h**2. Factor o(v).
2*(v + 3)**2/5
Let x(y) = 2*y + 5. Let k be x(0). Let l(a) be the third derivative of -a**2 - 1/210*a**k - 1/21*a**3 + 0*a + 1/42*a**4 + 0. Determine o, given that l(o) = 0.
1
Suppose -3*q = -4*q - f, 0 = -2*q + 4*f + 18. Suppose 0 = w - q - 1. Let -w*r - 7*r**4 + 6*r**2 + 0*r + 21*r**4 + 24*r**3 = 0. Calculate r.
-1, 0, 2/7
Let s(b) = 32*b**4 + 144*b**3 + 66*b**2 + 5*b. Let v(g) = g. Let q(w) = -s(w) - 3*v(w). Find u, given that q(u) = 0.
-4, -1/4, 0
Suppose -p = 4*t + 18, 3*p = 21*t - 22*t + 1. Solve 2/7*w**p + 8/7 + 8/7*w = 0 for w.
-2
Factor -5*j**2 - 2*j**3 - 8*j**2 - 2*j + 17*j**2.
-2*j*(j - 1)**2
Let l(q) be the second derivative of q**5/4 + 5*q**4/4 + 5*q**3/3 + q. Suppose l(z) = 0. What is z?
-2, -1, 0
Let u(x) be the first derivative of -x**5/20 - x**4/36 + x**3/9 - x + 8. Let g(q) be the first derivative of u(q). Factor g(a).
-a*(a + 1)*(3*a - 2)/3
Factor 0 + 2/13*s**3 - 6/13*s**4 + 0*s + 4/13*s**2.
-2*s**2*(s - 1)*(3*s + 2)/13
Factor 4/5 - 2/5*v**2 + 2/5*v.
-2*(v - 2)*(v + 1)/5
Let b(n) be the second derivative of -n**8/30240 - n**7/11340 + n**6/3240 + n**5/540 - 5*n**4/12 + 3*n. Let j(i) be the third derivative of b(i). Factor j(p).
-2*(p - 1)*(p + 1)**2/9
Factor -2 - 19*k**2 + 6*k + 6 + 2*k + 7*k**3.
(k - 2)*(k - 1)*(7*k + 2)
Suppose 20 = 4*p - 0*p. Let s(g) = g - 5. Let t be s(p). Factor 2/3*k**4 - 2/3*k + 2/3*k**3 - 2/3*k**2 + t.
2*k*(k - 1)*(k + 1)**2/3
Suppose -2*j = -n - 5, 0 = -3*n - 0*n - 3*j + 21. Determine z, given that 2/7*z**4 + 8/7*z**n + 0 + 4/7*z + 10/7*z**2 = 0.
-2, -1, 0
Let w(r) be the first derivative of 1/20*r**5 + 1 + 1/12*r**3 - 3/16*r**4 + 0*r**2 + r. Let z(q) be the first derivative of w(q). Factor z(a).
a*(a - 2)*(4*a - 1)/4
Let a(c) be the first derivative of -1 - 1/12*c**3 + 0*c + 0*c**2 + 0*c**4 + 1/20*c**5. Factor a(k).
k**2*(k - 1)*(k + 1)/4
Let w be 380/(-800) + 1/2. Let o(z) be the third derivative of 0*z**3 - 3/140*z**7 - 3*z**2 + 0 - w*z**5 + 1/224*z**8 + 0*z + 3/80*z**6 + 0*z**4. Factor o(k).
3*k**2*(k - 1)**3/2
Let t(x) be the third derivative of -x**8/84 + 6*x**7/35 - 4*x**6/5 + 16*x**5/15 - 10*x**2. Factor t(d).
-4*d**2*(d - 4)**2*(d - 1)
Let c be (-26)/(-12) - (-2)/(-12). Let o(u) = -3*u**4 + 9*u**2 - 4*u + 2. Let d(q) = 6*q**4 - 18*q**2 + 7*q - 5. Let k(v) = c*d(v) + 5*o(v). Factor k(b).
-3*b*(b - 1)**2*(b + 2)
Let q be 30/36*(-5)/((-75)/6). Solve q*v**2 + 1/3 + 2/3*v = 0 for v.
-1
Let v(a) be the third derivative of -1/4*a**4 + 0 + 1/168*a**8 + 1/3*a**3 + 1/30*a**6 - 1/35*a**7 + 1/15*a**5 + 3*a**2 + 0*a. Suppose v(s) = 0. Calculate s.
-1, 1
Suppose 3*h + 27 + 2 = 4*j, j - h - 8 = 0. Let y(o) be the second derivative of 1/18*o**3 + 0*o**2 + 2*o - 1/60*o**j + 0*o**4 + 0. Find f such that y(f) = 0.
-1, 0, 1
Let m(l) = -65*l**3 + 330*l**2 - 285*l + 155. Let g(u) = -3*u**3 + 15*u**2 - 13*u + 7. Let y(j) = -45*g(j) + 2*m(j). Let y(h) = 0. What is h?
1
Let o(a) be the second derivative of -a**7/21 + 3*a**5/10 - a**4/3 - 16*a. Factor o(k).
-2*k**2*(k - 1)**2*(k + 2)
What is m in 0*m**2 + 0*m + 1/5*m**4 + 0 + 3/10*m**3 - 1/10*m**5 = 0?
-1, 0, 3
Suppose 0 = -2*b - 2*o - 2 + 18, -b - 16 = -5*o. Suppose 0 = -3*x + b*x - 2. Solve 0*p - 15*p**x - 1 + 1 - 6*p = 0 for p.
-2/5, 0
Let i be -1 - (-3 - 118/(-60)). Let d(s) be the third derivative of 0*s - i*s**5 + 1/3*s**3 + 7/24*s**4 + s**2 - 7/120*s**6 + 0. Factor d(q).
-(q - 1)*(q + 1)*(7*q + 2)
Let d(v) be the second derivative of 3*v**2 - 7/2*v**3 + 0 - 2*v + 2*v**4 - 9/20*v**5. Factor d(f).
-3*(f - 1)**2*(3*f - 2)
Let 6*l**2 - 5*l**2 - l**4 - 3*l**3 + 3*l**2 + 0*l**2 = 0. What is l?
-4, 0, 1
Let o be -2 + (3 - -2)*1. Let -9*z**o - 2*z**2 - 5*z**2 - 3*z**4 - 2*z**2 - 3*z = 0. Calculate z.
-1, 0
Let y = -34 + 511/15. Let o(v) be the second derivative of 2*v**2 - y*v**6 + 1/2*v**4 - 1/10*v**5 + 2*v + 5/3*v**3 + 0. Determine p, given that o(p) = 0.
-1, 2
Let l(n) be the first derivative of -4 - 3/4*n**2 + 1/2*n**3 - 3/10*n**5 + 0*n + 3/8*n**4. Determine s so that l(s) = 0.
-1, 0, 1
Let s(u) = 7*u**2 + 11*u + 4. Let m = 2 - 0. Let y(i) = -12*i**2 - i**m - 13*i - 19*i - 12 - 7*i**2. Let c(w) = -14*s(w) - 5*y(w). Find d such that c(d) = 0.
-2, -1
Suppose t + 0 = -4*h + 6, 2*t - 3*h - 1 = 0. Fact