. Factor h(f).
-2*f*(f - 2)*(f - 1)/13
Let n(h) be the first derivative of -h**6/2 - 21*h**5/5 - 57*h**4/4 - 25*h**3 - 24*h**2 - 12*h - 3. Factor n(v).
-3*(v + 1)**3*(v + 2)**2
What is i in 44*i**2 - 16*i**2 - 14*i**2 - 19*i**2 + 10*i = 0?
0, 2
Suppose -3*u - 2*u - q = -28, -5*q + 5 = -2*u. Let y = u - 3. Factor 6*b - 1 + 7*b**y + b**2 - 1.
2*(b + 1)*(4*b - 1)
Let w = -5116/5 - -1024. Factor -u - w*u**3 - 11/5*u**2 + 2/5.
-(u + 1)*(u + 2)*(4*u - 1)/5
Let q = 3 - 1. Let k(v) be the third derivative of 0*v + 0 - 2/3*v**3 - 1/4*v**4 - 1/30*v**5 - 2*v**q. Suppose k(n) = 0. Calculate n.
-2, -1
Let o = 360 + -1064/3. Factor -72*l**2 - o - 27*l**4 - 72*l**3 - 32*l.
-(3*l + 2)**4/3
Let l be (-5)/(-10) - 2/4. Let i(o) be the third derivative of 1/24*o**4 - 1/60*o**5 + 0 + 0*o + l*o**3 - 2*o**2. Let i(p) = 0. Calculate p.
0, 1
Let z(h) be the first derivative of -h**6/21 + 12*h**5/35 - h**4 + 32*h**3/21 - 9*h**2/7 + 4*h/7 - 1. Find y such that z(y) = 0.
1, 2
Let r = 4/5 + -3/10. Let s(p) be the first derivative of r*p**4 - 4*p - 2/5*p**5 - 1 + 2*p**3 - p**2. Determine o, given that s(o) = 0.
-1, 1, 2
Let b(v) = -21*v**3 + 34*v**2 + 36*v + 8. Let q(y) = -22*y**3 + 33*y**2 + 36*y + 8. Let o(d) = 3*b(d) - 4*q(d). Solve o(f) = 0 for f.
-2/5, 2
Let d(g) be the second derivative of 1/50*g**5 + 1/75*g**6 + 0*g**2 - 1/30*g**4 + 0 - 1/15*g**3 - 7*g. Find w such that d(w) = 0.
-1, 0, 1
Let z(x) be the third derivative of x**6/200 - x**5/100 - 2*x**4/5 - 2*x**3 + 2*x**2. Factor z(t).
3*(t - 5)*(t + 2)**2/5
Let n be (1/3)/((-13)/(-156)). What is o in -n*o**2 + 3*o - o**2 + 8*o**2 = 0?
-1, 0
Factor -6*s + s**2 + 11*s - 6*s.
s*(s - 1)
Let j(v) be the first derivative of -16*v**5/5 + 7*v**4 - 8*v**3/3 - 2*v**2 + 11. Solve j(h) = 0.
-1/4, 0, 1
Let s(t) be the second derivative of t**7/63 - t**6/27 - 8*t**5/45 + 2*t**4/9 - 34*t. Determine n, given that s(n) = 0.
-2, 0, 2/3, 3
Suppose -6*w + w = -10. Factor -w - 14*n - 35*n**3 - 69/2*n**2 - 25/2*n**4.
-(n + 1)**2*(5*n + 2)**2/2
Let o(r) be the first derivative of -r**6/12 + 2*r**5/5 - 5*r**4/8 + r**3/3 + 8. Factor o(y).
-y**2*(y - 2)*(y - 1)**2/2
Let x(s) be the third derivative of s**5/15 - s**4/6 + s**3/2 - 2*s**2. Let j(i) = -9*i**2 + 9*i - 7. Let r(y) = 3*j(y) + 7*x(y). What is w in r(w) = 0?
0, 1
Let u(r) be the first derivative of r**7/280 - 3*r**5/40 - r**4/4 - 8*r**3/3 - 3. Let j(g) be the third derivative of u(g). Factor j(h).
3*(h - 2)*(h + 1)**2
Suppose 5*r + 2*s - 9 = 0, r - 9 = -0*r + 2*s. Factor 5*y**4 + 15*y**5 + 25*y**4 + 6*y**2 + 27*y**r + 6*y**4.
3*y**2*(y + 1)**2*(5*y + 2)
Let k(s) be the first derivative of -16*s**6/15 - 144*s**5/25 - 81*s**4/10 - 56*s**3/15 - 3*s**2/5 + 12. Solve k(p) = 0.
-3, -1, -1/4, 0
Let m be (-1)/(-5) - 1/((-10)/18). Factor -1/3*f**5 + 0 - 1/3*f**m + 0*f + 1/3*f**4 + 1/3*f**3.
-f**2*(f - 1)**2*(f + 1)/3
Let d = -16 + 8. Let a(l) = l**3 + 7*l**2 - 9*l - 5. Let p be a(d). Factor -2*t**4 + 0 - 6/7*t**2 + 4/7*t - 24/7*t**p.
-2*t*(t + 1)**2*(7*t - 2)/7
Let s(m) be the second derivative of -m**7/112 - m**6/16 - 3*m**5/20 - m**4/8 + 17*m. Solve s(x) = 0 for x.
-2, -1, 0
Suppose -6*i = -2*i + 12, -p = 4*i + 10. Suppose -3*h - p + 11 = 0. Factor 1/4*o**4 + 0 + 1/4*o + 3/4*o**2 + 3/4*o**h.
o*(o + 1)**3/4
Suppose -5*b - 15 = -5*l + 30, 3*b = -3*l - 45. Let v(t) = -3*t**2 - 3*t + 2. Let h(p) = p**2. Let y(a) = b*h(a) - 3*v(a). Factor y(k).
-3*(k - 2)*(k - 1)
Let w(t) = -t**2 + 8*t - 7. Let p be w(7). Let x be 4/(-6)*(p + -3). Factor 0 + 1/2*j**3 + 1/2*j + j**x.
j*(j + 1)**2/2
Let s be (-150)/(-126) - ((-21)/(-9))/7. Let -2/7 - 1/7*j + s*j**2 = 0. Calculate j.
-1/2, 2/3
Let c(j) be the second derivative of -j**6/80 - 3*j**5/80 - j**4/32 + 26*j. Factor c(t).
-3*t**2*(t + 1)**2/8
Let x(j) = j**3 + j**2 + 2*j + 2. Let l(y) = -y**2 - y. Let q(d) = -3*l(d) + x(d). Suppose q(f) = 0. Calculate f.
-2, -1
Find a such that 6/7*a**2 + 4/7 + 10/7*a = 0.
-1, -2/3
Let r(h) be the first derivative of -2*h**3/15 + 4*h**2/5 - 8*h/5 - 24. Factor r(p).
-2*(p - 2)**2/5
Determine f so that 8*f - 8 + 9*f**2 + 4*f + 11*f**2 - 24*f**2 = 0.
1, 2
Let p(x) = -x**2 + 4*x + 2. Let f be p(4). Let s be (1 + f + -1)/1. Factor 0 - 2/3*c**4 + 2/3*c + 2*c**3 - 2*c**s.
-2*c*(c - 1)**3/3
Suppose 21 + 14 = 5*v. Let r be v + -2 + 1 + -1. Solve -4*y**2 + y**3 + 5*y**2 - y**r + 3*y**4 - 4*y**4 = 0.
-1, 0, 1
Let m = -3 + 3. Suppose -z - 3 = -2*z. Factor -3/2*b - 1 + m*b**2 + 1/2*b**z.
(b - 2)*(b + 1)**2/2
Let h(t) = -3*t**2 + 2. Let d(k) = -k. Let i(p) = -10*d(p) + 2*h(p). Solve i(v) = 0.
-1/3, 2
Let f(a) be the third derivative of -a**9/181440 + a**8/20160 - a**7/5040 + a**6/2160 + a**5/30 + 3*a**2. Let m(v) be the third derivative of f(v). Factor m(z).
-(z - 1)**3/3
Let y(t) = 6*t**3 - 8*t**2 + 4*t - 5. Suppose -13*b - 36 = -10*b. Let s(x) = x**3 - x - 1. Let f(v) = b*s(v) + 4*y(v). Solve f(q) = 0 for q.
2/3, 1
Let g(w) be the third derivative of 5*w**8/672 + w**7/12 + 19*w**6/48 + 25*w**5/24 + 5*w**4/3 + 5*w**3/3 + 7*w**2. Find d such that g(d) = 0.
-2, -1
Let h(a) be the second derivative of -a**6/120 - 3*a**5/40 - a**4/4 - 2*a**3/3 + 3*a. Let p(k) be the second derivative of h(k). Let p(o) = 0. Calculate o.
-2, -1
Let v be 4*(-3 - 15/(-3)). Suppose 0 = 5*t - v*t + 6. Factor 1/2 - 1/2*d**3 + 3/2*d**t - 3/2*d.
-(d - 1)**3/2
Let c(p) = -p**2 + 8*p. Let q be c(8). Suppose q*m = -m + 2. Find t such that -2 + m*t**2 - 3*t + 3*t = 0.
-1, 1
Suppose 2*s + 14 = 5*j, 5*s - 27 = -4*j + j. Let o be 24/(-45)*(-6)/8. Let o*t**2 - 2/5*t + 0 - 2/5*t**j + 2/5*t**3 = 0. What is t?
-1, 0, 1
Suppose -8 = -2*f - 2*b, -2*b = 2*f - b - 6. Factor -6*h**2 - h**f - 5*h + 4*h - 11*h + 4.
-(h + 2)*(7*h - 2)
Solve 2/3 + 7/2*n**2 - 7/6*n**4 + 1/3*n**3 - 10/3*n = 0.
-2, 2/7, 1
Let t(a) be the third derivative of a**9/1512 + a**8/420 - a**6/90 - a**5/60 + a**3/3 + 3*a**2. Let q(w) be the first derivative of t(w). Factor q(u).
2*u*(u - 1)*(u + 1)**3
Let z(p) be the second derivative of -p**7/210 - p**6/45 + p**3/6 - 9*p. Let a(o) be the second derivative of z(o). Factor a(c).
-4*c**2*(c + 2)
Let b(x) be the second derivative of 0*x**2 + 0 + 1/14*x**4 - 2/21*x**3 - 8*x. Factor b(m).
2*m*(3*m - 2)/7
Let k(z) = z**5 - z**4 - z**3 - z**2 + 1. Let v(r) = 11*r**5 - 6*r**4 - 16*r**3 - 6*r**2 + 5*r + 6. Let d(q) = -6*k(q) + v(q). Factor d(l).
5*l*(l - 1)**2*(l + 1)**2
Let k(u) be the second derivative of -9/2*u**2 + 0 - u**3 - 5*u - 1/12*u**4. What is y in k(y) = 0?
-3
Let m = 3 - -2. Factor 4*r - 6*r**2 - m*r**3 - 3*r**3 + 10*r**3.
2*r*(r - 2)*(r - 1)
Let c(s) = s**2 + 8*s + 9. Let z be c(-7). Factor z*m - m**3 - 4 + 4*m - m**3.
-2*(m - 1)**2*(m + 2)
Let o(u) be the second derivative of u**6/165 + u**5/11 + u**4/2 + 40*u**3/33 + 16*u**2/11 - u + 1. Determine h, given that o(h) = 0.
-4, -1
Let v be 2/(-30)*(-2)/20. Let x(d) be the second derivative of v*d**6 + 0*d**2 + 0*d**3 - 1/100*d**5 - 1/30*d**4 + d + 0. Factor x(w).
w**2*(w - 2)*(w + 1)/5
Let f = -2 + -2. Let t = -4 - f. Factor 0 + t*g**2 + 0*g - 1/3*g**5 - 1/3*g**3 + 2/3*g**4.
-g**3*(g - 1)**2/3
Let l(p) be the second derivative of p**6/1440 + p**5/80 + 3*p**4/32 + 5*p**3/6 - 8*p. Let b(r) be the second derivative of l(r). Factor b(a).
(a + 3)**2/4
Let k(g) be the third derivative of -g**10/604800 + g**9/120960 - g**8/80640 - g**5/30 - 4*g**2. Let h(v) be the third derivative of k(v). Factor h(r).
-r**2*(r - 1)**2/4
Factor -s + 2 + 2*s**4 - 4*s**2 + 0*s**4 + s.
2*(s - 1)**2*(s + 1)**2
Let k(g) be the third derivative of g**7/189 - g**6/90 + g**5/270 - 7*g**2. Factor k(u).
2*u**2*(u - 1)*(5*u - 1)/9
Factor 9/5*m + 3/5*m**3 - 3*m**2 + 27/5.
3*(m - 3)**2*(m + 1)/5
Factor -14 - 2 + 4*q + 12*q + q**2 - 5*q**2.
-4*(q - 2)**2
Suppose 0 = a - 6*a + 5. Solve -5/2*f - a + 5/2*f**3 + f**2 = 0 for f.
-1, -2/5, 1
Let y be (-244)/36 + (-2)/9. Let r be (y/21)/(1/(-9)). Factor 1/4*w**r - 1/4 - 1/4*w + 1/4*w**2.
(w - 1)*(w + 1)**2/4
What is w in -19 - 4*w**2 + 0*w**2 + 3 - 16*w = 0?
-2
Let l = -548/5 - -110. Let g = 94 + -468/5. Factor -g*z**3 - 4/5*z**2 + l*z + 4/5.
-2*(z - 1)*(z + 1)*(z + 2)/5
Factor -1/2 - 9/10*z - 3/10*z**2 + 1/10*z**3.
(z - 5)*(z + 1)**2/10
Let r(g) = g**3 - 1. Let p be r(1). Let b(u) be the first derivative of 10/3*u**3 + 3 + p*u - 2*u**4 - u**2. Factor b(j).
-2*j*(j - 1)*(4*j - 1)
Let t be (4/(-2))/