 421/20 - (-4)/20. Let v = x + -21. Factor 1/4*g**2 - v + 0*g.
(g - 1)*(g + 1)/4
Let x(f) be the third derivative of -f**7/840 + f**6/240 - f**4/48 + f**3/24 - f**2. Factor x(l).
-(l - 1)**3*(l + 1)/4
Let s = -3058289 + 1458804385/477. Let a = -12/53 + s. Factor -8/9*j - a*j**3 - 2/9 - 4/3*j**2 - 2/9*j**4.
-2*(j + 1)**4/9
Let v be -3 - (2 + -1 + -8). Suppose -4*j - 4*b + 0 = -32, -23 = -j - v*b. Factor -3/5*k**2 + 0 + k**j - 2/5*k.
k*(k - 1)*(5*k + 2)/5
Let a(b) = -21*b**3 - 11*b**2 - 4*b + 5. Let i(j) = 11*j**3 + 5*j**2 + 2*j - 3. Let h(c) = 6*a(c) + 10*i(c). Factor h(v).
-4*v*(2*v + 1)**2
Let b(a) be the first derivative of -2*a**4/9 - 10*a**3/9 - 8*a**2/9 + 2*a/3 - 14. Factor b(t).
-2*(t + 1)*(t + 3)*(4*t - 1)/9
Let j(h) = 5*h**3 - h**2 - 16*h + 20. Let n(z) = 5*z**3 - 2*z**2 - 17*z + 20. Let o(w) = -3*j(w) + 4*n(w). Factor o(l).
5*(l - 2)*(l - 1)*(l + 2)
Let i = 48 + -191/4. Let b(d) be the first derivative of 2 + i*d**4 - 4/3*d**3 + 0*d + 2*d**2. Factor b(n).
n*(n - 2)**2
Let o(l) be the second derivative of 4/15*l**3 + 0 + 2/3*l**4 - l + 0*l**2 - 4/15*l**6 + 21/50*l**5 - 5/21*l**7. Determine h so that o(h) = 0.
-1, -2/5, 0, 1
Let s(x) = x**3 - 11*x**2 + 11*x - 7. Let j(y) = -10*y. Let h be j(-1). Let u be s(h). Factor -2*a + 3*a**2 + 1/2 - 2*a**u + 1/2*a**4.
(a - 1)**4/2
Suppose -4*j = 2*b - 2*j + 2, -4*j = -b - 16. Let z be (4/10)/(b/(-15)). Find v such that 0 - z*v**4 - 9/2*v**3 - 3*v**2 + 0*v = 0.
-2, -1, 0
Suppose -j + h - 4*h = 6, 2*h = 5*j - 21. Suppose 0 = 6*p - 10*p + 12. Factor -2*c**4 - 5*c**p + c**2 - c**5 - 6*c**2 + j*c**2 - 2*c**4.
-c**2*(c + 1)**2*(c + 2)
Let l(c) be the second derivative of -c**4/12 - c**3/6 - 3*c + 5. Find s, given that l(s) = 0.
-1, 0
Factor 0*g + 0*g**2 + 12*g + 29 + g**2 + 7.
(g + 6)**2
Let w(s) = s**2 - 6*s + 13. Let t be w(3). Suppose 1/5*k**2 - 7/5*k**t + 0*k - 4/5*k**5 + 0 - 2/5*k**3 = 0. What is k?
-1, 0, 1/4
Let t(y) be the third derivative of -y**8/6720 + y**7/2520 - 5*y**4/24 + y**2. Let l(d) be the second derivative of t(d). Factor l(n).
-n**2*(n - 1)
Suppose -4 = 4*w, -l - 83 = 2*l - w. Let y = l - -31. Factor 1/4*k**4 - 1/4*k**2 - 1/4*k + 0 + 1/4*k**y.
k*(k - 1)*(k + 1)**2/4
Solve 0 - 4/5*p**3 + 0*p + 2/5*p**2 + 2/5*p**4 = 0.
0, 1
Let v(u) = -6*u**3 + 2*u + 1. Let c be v(-1). Suppose 4*f - c*k = f + 1, 0 = f + 4*k - 6. Factor 0 - 1/3*r**f - 1/3*r.
-r*(r + 1)/3
Let d(i) be the third derivative of -1/240*i**6 - 1/6*i**3 + 0 - 5/48*i**4 + 0*i - 1/30*i**5 - 5*i**2. Factor d(v).
-(v + 1)**2*(v + 2)/2
Let h = 391/2640 - -1/528. Let f(p) be the first derivative of h*p**4 + 3/25*p**5 + 0*p**2 - 1 + 1/30*p**6 + 1/15*p**3 + 0*p. Factor f(v).
v**2*(v + 1)**3/5
Let r be (-4)/3*(126/48 - 3). Factor 1/2*a**2 + 0 - r*a.
a*(a - 1)/2
Suppose -4*s - 1 = -4*d + 11, -21 = -3*d - 3*s. Suppose -d = -2*x + 3. Factor 8*o**4 - x*o**5 - 4*o**2 - 5*o**3 + 0*o**5 + 5*o**2.
-o**2*(o - 1)*(2*o - 1)**2
Factor 2/5*k + 2/5*k**4 + 0 + 6/5*k**3 + 6/5*k**2.
2*k*(k + 1)**3/5
Let i(s) be the first derivative of s**6/12 + 3*s**5/5 + 13*s**4/8 + 2*s**3 + s**2 - 71. Determine y, given that i(y) = 0.
-2, -1, 0
Let x(z) be the second derivative of -z**7/126 - 3*z. Factor x(n).
-n**5/3
Let h(f) = f**2 + 4*f + 2. Let q be h(-4). Suppose 0 = -i + 3, -5*i + 1 = -q*j - 14. Factor 0*a**2 + 0*a**4 + j - 1/3*a + 2/3*a**3 - 1/3*a**5.
-a*(a - 1)**2*(a + 1)**2/3
Let c = 4 + -1. Let v = 5 - 2. Determine a, given that a + a**2 + 3*a**v + a**2 - 2*a**c = 0.
-1, 0
Suppose -8*i**2 - 16*i**4 - i**5 - 59*i**3 + 39*i**3 - 3*i**5 = 0. What is i?
-2, -1, 0
Let r = 0 - -2. Factor i**3 + 0*i**2 - i**2 - i**r + i.
i*(i - 1)**2
Let s be (-1 - -4)*(7 + (-927)/135). Suppose -7/5*j**5 - 8/5*j**2 + 21/5*j**3 + 0 - s*j**4 - 4/5*j = 0. Calculate j.
-2, -2/7, 0, 1
Let v(l) be the first derivative of -2*l**5/45 - l**4/6 - 2*l**3/27 + l**2/3 + 4*l/9 - 29. What is g in v(g) = 0?
-2, -1, 1
Let z(g) be the second derivative of g**6/30 - 11*g**5/80 + 5*g**4/24 - g**3/8 + 28*g. Factor z(h).
h*(h - 1)**2*(4*h - 3)/4
Suppose 3/5*u**3 - 12/5*u - 12/5 + 3/5*u**2 = 0. Calculate u.
-2, -1, 2
Let f(a) = -4*a**2 + 2*a + 2. Let c be f(-2). Let j be (-45)/c*(-8)/(-10). Let -d + 6 - 6*d**2 - j + d + 2*d = 0. Calculate d.
-2/3, 1
Suppose -l + 15 = 2*l. Let u be 5 + 5/(l/(-2)). Factor 3*h**4 - 8*h**3 + h**2 + 0*h**u + 3*h**2.
h**2*(h - 2)*(3*h - 2)
Let b(v) be the second derivative of v**6/105 - 3*v**5/70 + v**4/42 + v**3/7 - 2*v**2/7 + 11*v. Factor b(q).
2*(q - 2)*(q - 1)**2*(q + 1)/7
Let x(f) = 10*f**3 + 4*f**2 - 11*f + 5. Let u(c) = -51*c**3 - 21*c**2 + 54*c - 24. Let q(l) = -5*u(l) - 24*x(l). Factor q(b).
3*b*(b + 1)*(5*b - 2)
Suppose 3*x + 0*x = 6*x. Let b(z) be the third derivative of -1/60*z**5 + 1/60*z**6 - 5/24*z**4 + x + 3*z**2 + 0*z - 1/3*z**3. Factor b(o).
(o - 2)*(o + 1)*(2*o + 1)
Factor -7*c**2 - c + 6 - 2*c + 4*c**2.
-3*(c - 1)*(c + 2)
Let j be ((-2)/10)/(1*-6). Let r(x) be the second derivative of 0*x**2 - x + j*x**5 + 1/36*x**3 + 0 + 5/72*x**4. Factor r(y).
y*(y + 1)*(4*y + 1)/6
Let y(o) be the third derivative of 2*o**9/945 - o**8/420 + o**7/1260 - o**4/12 + 4*o**2. Let g(i) be the second derivative of y(i). Find v such that g(v) = 0.
0, 1/4
Let m(k) be the second derivative of -3/2*k**3 + 0*k**4 - 3*k - 3*k**2 + 3/20*k**5 + 0. Determine y, given that m(y) = 0.
-1, 2
Suppose -3*x + 5*x - 7 = l, -x + 5*l = -17. Suppose -4*a**4 - x*a - a + 2*a**2 - a + 4*a**3 + 2*a**2 = 0. What is a?
-1, 0, 1
What is l in 0*l**3 + l**3 + l**4 + 5*l**3 + 3 + 21*l**2 + 10*l - 9*l**2 = 0?
-3, -1
Let a(i) be the first derivative of -2*i**6/15 - 2*i - 6. Let k(b) be the first derivative of a(b). Factor k(s).
-4*s**4
Let y be (-4)/24 - 1/(-3). Let u be 1/(42/133) + -3. Factor -u + y*v - 1/6*v**3 + 1/6*v**2.
-(v - 1)**2*(v + 1)/6
Let j(d) = -d**4 - 2*d**3 + 4*d**2 + 4*d + 2. Let p(v) = v**3 - v**2 + v. Let i(l) = j(l) + p(l). Determine a, given that i(a) = 0.
-1, 2
Let -18/11*x**2 + 6/11*x**4 + 14/11*x - 14/11*x**3 + 12/11 = 0. Calculate x.
-1, -2/3, 1, 3
Let r = -249 + 1003/4. Factor -5/4*o**3 - r*o + 9/4*o**2 + 1/4*o**4 + 1/2.
(o - 2)*(o - 1)**3/4
Let k = 8627/16 + -539. Let w(o) be the third derivative of 1/40*o**5 + k*o**4 + o**2 + 0*o + 1/2*o**3 + 0. Factor w(l).
3*(l + 1)*(l + 2)/2
Let z(f) be the third derivative of -1/240*f**6 + 1/60*f**5 + 0*f**4 + 0*f + 0*f**3 + 6*f**2 + 0. Suppose z(r) = 0. What is r?
0, 2
Suppose -3*h + 315 = -0*h + 3*g, -111 = -h + g. Find c, given that -2 + 6*c - h*c**2 + 1 - 98*c**3 - 118*c**3 - 24*c = 0.
-1/6
Let c be (-62)/(-22) + 38/209. Suppose 8*z = c*z + 15. Factor -3/5*f**4 + 1/5 + 2/5*f**2 + 2/5*f**z - 3/5*f + 1/5*f**5.
(f - 1)**4*(f + 1)/5
Let v(u) be the first derivative of -u**5/60 + u + 4. Let d(h) be the first derivative of v(h). Factor d(y).
-y**3/3
Let k(f) be the second derivative of f**9/9072 - f**8/6720 - f**7/3780 - f**4/2 - f. Let p(n) be the third derivative of k(n). What is z in p(z) = 0?
-2/5, 0, 1
Let d(z) = z**3 - 4*z**2 - 3*z - 1. Let m be d(5). Let f be ((-30)/m)/(-5)*3. Suppose 1/4*o**3 - 1/4*o**f + 0 + 0*o = 0. What is o?
0, 1
Let p(y) be the third derivative of -y**8/5040 - y**7/2520 + y**6/1080 + y**5/360 + y**3/3 + 3*y**2. Let l(j) be the first derivative of p(j). Solve l(n) = 0.
-1, 0, 1
Let r(i) be the first derivative of 7*i**4 + 40*i**3 + 58*i**2 + 24*i + 13. Factor r(y).
4*(y + 1)*(y + 3)*(7*y + 2)
Factor l**3 - 2*l**3 + 2 - 2*l - 2*l**2 + 3*l**3.
2*(l - 1)**2*(l + 1)
Let n = -20 + -10. Let b be ((-5)/n)/((-2)/(-32)). Solve -b*x - 2/3*x**2 - 8/3 = 0 for x.
-2
Let r(m) = 1 + 0 - m**2 + 5*m**2. Let g be r(1). Factor 0*z**3 - z**3 + 4*z**4 - g*z**4.
-z**3*(z + 1)
Let p be (-27)/(-15)*(-30)/(-9). Let t(i) = 7*i**5 + i**4 - i**3 - i**2 - 6*i. Let h(a) = a**5 - a. Let c(x) = p*h(x) - t(x). Factor c(v).
-v**2*(v - 1)*(v + 1)**2
Let i(z) = -6*z**3 + 5*z**2 + 14*z + 1. Let j(q) = -19*q**3 + 14*q**2 + 42*q + 2. Let t(p) = 14*i(p) - 4*j(p). Factor t(s).
-2*(s - 3)*(s + 1)*(4*s + 1)
Let n(f) = f + 1. Let m(c) = c**2 - 1. Suppose 0 = -0*i + 2*i + 2. Let l = 2 + -3. Let v(q) = i*n(q) + l*m(q). Suppose v(y) = 0. Calculate y.
-1, 0
Let n = -8 + 10. Factor -8*m**4 + 11*m - 4*m + 6*m**n - 3 - 4*m**5 - 4*m**3 + 5 + m**5.
-(m - 1)*(m + 1)**3*(3*m + 2)
Suppose 0*u - 3*u - 3*y = 12, -3*u + 16 = -4*y. Suppose -k = 5*p, 3*p = -k - u*k. Factor 