 + 8/9*q = 0.
1
Let v(a) be the first derivative of -a**6/2 - 9*a**5/5 - 3*a**4/2 + 2*a**3 + 9*a**2/2 + 3*a - 4. What is b in v(b) = 0?
-1, 1
Let c(s) = s**5 + s**3 - s - 1. Let l(w) = -5*w**5 + 7*w**4 - 23*w**3 + 25*w**2 - 12*w + 8. Let n(r) = -4*c(r) - l(r). Factor n(p).
(p - 2)**2*(p - 1)**3
Let m(f) = -4 - 6*f + 5*f**2 + 13*f - 12*f. Let x(h) = -h**2 + h + 1. Let k(t) = m(t) + 4*x(t). Factor k(y).
y*(y - 1)
Let m(d) be the second derivative of d**6/90 - d**5/90 + 4*d. Let m(h) = 0. Calculate h.
0, 2/3
Factor 24*z**2 + 4 + 4*z**4 + 0 + 8*z - 8*z**3 + 8*z + 24*z**3.
4*(z + 1)**4
Suppose -9*k + 5*k + 20 = 0. Suppose 0 = -k*l - 0*l. Factor 2/3*q**5 - 2/3*q**3 + 0*q + 0*q**2 + 0 + l*q**4.
2*q**3*(q - 1)*(q + 1)/3
Let p(j) be the first derivative of 14*j**5/5 - 5*j**4/2 - 4*j**3/3 + 5. Factor p(o).
2*o**2*(o - 1)*(7*o + 2)
Factor -2*t + 1 - t**2 + 3 - t**2 + 0*t**2.
-2*(t - 1)*(t + 2)
Let l(t) = 5*t**3 + 4*t**2 + 5*t + 6. Let c(y) = -9*y**3 - 7*y**2 - 9*y - 11. Let v(j) = -6*c(j) - 11*l(j). Factor v(s).
-s*(s + 1)**2
Factor -48/5*q**4 - 99/5*q**2 - 24*q**3 - 6*q - 3/5.
-3*(q + 1)**2*(4*q + 1)**2/5
Let w be (-40)/(-16) - 1/(-2). Factor -t + 4*t**w - 2*t**2 + 2*t**2 + 3*t**2.
t*(t + 1)*(4*t - 1)
Let f(x) be the first derivative of -x**5/15 + x**4/6 + 4*x**2 + 1. Let a(y) be the second derivative of f(y). Determine t so that a(t) = 0.
0, 1
Let a be (-15)/25 - (-4)/(-10). Let k(m) = m**3 + m + 1. Let t(u) = -7*u**3 - 2*u**2 - 5*u - 4. Let y(j) = a*t(j) - 6*k(j). Determine h, given that y(h) = 0.
-2, -1, 1
Let l be 4/(-6) - (-14)/3. Let s be (l + -2)*(-5)/(-2). Factor -3*f**4 + f**2 - 2 - f**4 + s*f**4 - 3*f**3 + 3*f.
(f - 2)*(f - 1)**2*(f + 1)
Let n(o) be the second derivative of -5/4*o**4 + 9/20*o**5 - 1/14*o**7 + 1/10*o**6 + 0*o**2 + o**3 - o + 0. Factor n(j).
-3*j*(j - 1)**3*(j + 2)
Let f(y) = y**2 + 2*y + 2. Let b be f(-2). Suppose 2*k = -k + 3. Let -2*r**5 + b*r**3 + 1 - k = 0. Calculate r.
-1, 0, 1
Let u = 65 + -63. Factor -2/5*w**u - 2/5 - 4/5*w.
-2*(w + 1)**2/5
Let x(d) be the third derivative of d**8/504 - d**7/105 + 2*d**5/45 - 10*d**2. Factor x(l).
2*l**2*(l - 2)**2*(l + 1)/3
Let s(u) = -u**3 + 7*u**2 + 2*u - 2. Let q be s(7). Let j be (4/(-12))/((-14)/q). Factor 2/7*t - j - 2/7*t**3 + 2/7*t**2.
-2*(t - 1)**2*(t + 1)/7
Let g(z) be the first derivative of 3*z**5/25 + 3*z**4/10 + z**3/5 + 11. Factor g(x).
3*x**2*(x + 1)**2/5
Let u(g) be the second derivative of g**5/10 + g**4/6 - g**3/3 - g**2 + 13*g. Determine z, given that u(z) = 0.
-1, 1
Suppose -8 - 11*z**3 + 0*z**5 + 3*z**5 - 6*z**2 + 14 - z**3 + 9*z = 0. Calculate z.
-1, 1, 2
Let m(l) = l**4 + 8*l**3 + 7*l**2. Let y(w) = 4*w**3 + 4*w**2. Let v(d) = -3*m(d) + 5*y(d). Factor v(c).
-c**2*(c + 1)*(3*c + 1)
Let f = 6 - 8. Let w be 0 - -1 - (-4 - f). Solve 2/3 + 2/3*o**2 + 2*o**w - 2*o - 4/3*o**4 = 0.
-1, 1/2, 1
Let y(x) be the third derivative of 0 + 0*x - 4*x**2 - 3/100*x**6 + 0*x**4 - 1/75*x**5 + 0*x**3. What is k in y(k) = 0?
-2/9, 0
Let x(u) be the second derivative of u**5/30 + u**4/6 + u**3/3 + u**2/3 - 4*u. What is d in x(d) = 0?
-1
Let z(u) be the third derivative of -u**8/84 + 2*u**7/105 + u**6/30 - u**5/15 - 5*u**2. Factor z(l).
-4*l**2*(l - 1)**2*(l + 1)
Let l = 19 - 16. Let f(c) be the first derivative of 3/4*c**4 + 3 - l*c - 3/2*c**2 + c**3. Determine t, given that f(t) = 0.
-1, 1
Let z(r) = -r**2 - 4*r + 5. Let o be z(-4). Let m(a) = 2*a - 10. Let k be m(o). Factor 1/2*q**5 - 1/2*q**3 + 1/2*q**4 - 1/2*q**2 + k + 0*q.
q**2*(q - 1)*(q + 1)**2/2
Let c = 113 + -893/8. Let w = -7/8 + c. Find t such that 1/4*t + w*t**2 - 1/2 - 1/4*t**3 = 0.
-1, 1, 2
Solve 1/2*z**3 + 0*z**2 + 1 - 3/2*z = 0 for z.
-2, 1
Let a(h) be the second derivative of 0*h**2 + 0*h**4 - 1/240*h**5 + 1/6*h**3 + 0 - 1/720*h**6 + 2*h. Let x(j) be the second derivative of a(j). Factor x(t).
-t*(t + 1)/2
Suppose t - 15 = -4*t. Solve -t*r**5 + 7*r**2 - 25*r + 28*r - 6*r**4 - r**2 = 0 for r.
-1, 0, 1
Suppose 3 = 3*h + 4*r, -4*r = 2*h + r + 5. Suppose -8 = -h*d + 4*d. Factor 0*j**2 + d*j + 12 + 2*j**2 - 6.
2*(j + 1)*(j + 3)
Suppose -u = -0 - 4. Suppose 0*a = -2*a + u. Factor p**3 + p**a + p**4 - 3*p**3 + 0*p**3.
p**2*(p - 1)**2
Let n(d) be the third derivative of 1/42*d**4 + 0 + 0*d + 4*d**2 - 1/210*d**5 + 0*d**3. Factor n(c).
-2*c*(c - 2)/7
Suppose 0 = 4*f, 3*f - 20 = -4*d - f. Factor 10*z**d + 6*z**5 - 13*z**5 - 18*z**4 + 27*z**3.
3*z**3*(z - 3)**2
Suppose t + 1 + 2 = 4*m, 3*t = m + 2. Suppose -3*g + 8 = -4*r + t, 2*g - 8 = r. Factor -2/5*h**4 + 2/5*h + 2/5*h**r - 2/5*h**3 + 0.
-2*h*(h - 1)*(h + 1)**2/5
Let v be (8/16)/((-1)/(-6)). Let u(l) be the second derivative of -1/12*l**4 + 1/2*l**2 + 0*l**v + l + 0. Factor u(t).
-(t - 1)*(t + 1)
Let g = 2/365 - -582/365. Factor 8/5*d + 2/5*d**2 + g.
2*(d + 2)**2/5
Let d(l) = -l**2 + 2*l - 1. Let f(t) = t + 3. Let q be f(0). Let u be 3*(q/3)/1. Let v(h) = 2*h**2 - 2*h + 2. Let i(m) = u*d(m) + 2*v(m). What is b in i(b) = 0?
-1
Let q(r) = -16*r**5 - 11*r**4 - 3*r**3 - 4*r**2 - 4*r - 4. Let t(c) = c**5 - c**4 + c**2 + c + 1. Let b(j) = q(j) + 4*t(j). Factor b(z).
-3*z**3*(z + 1)*(4*z + 1)
Let d(q) be the second derivative of 3*q + 0*q**2 + 0*q**4 - 1/20*q**5 + 0*q**3 + 1/15*q**6 + 0. Suppose d(n) = 0. What is n?
0, 1/2
Suppose b + 3*y - 2*y - 8 = 0, 3*y = -5*b + 48. Let w be 3 - ((-3)/b + 3). Factor w*m**4 + 0*m + 0 + 0*m**3 - 1/4*m**2.
m**2*(m - 1)*(m + 1)/4
Let u be (-4)/(-8) + 6/4. What is c in 2*c**4 + c**4 - 9*c**u + 3*c + 3*c = 0?
-2, 0, 1
Let o(j) be the third derivative of 2*j**7/15 - j**6/6 - 2*j**5/15 - 16*j**2. Factor o(v).
4*v**2*(v - 1)*(7*v + 2)
Let b(p) = -p**3 + 3*p**2 + 2*p - 6. Let l be b(3). Factor 0*r - 2/3*r**5 - 4/3*r**4 + 0*r**2 - 2/3*r**3 + l.
-2*r**3*(r + 1)**2/3
Let t(y) be the second derivative of -y**6/720 + 2*y**3/3 + 2*y. Let m(b) be the second derivative of t(b). Factor m(p).
-p**2/2
Let r(y) = -5*y - 9. Let t be r(-4). Let w be 1/(-2) + t/6. Factor w*g**4 + 4/3*g**2 + 1/3*g**5 + 0 + 2*g**3 + 1/3*g.
g*(g + 1)**4/3
Let s(v) be the first derivative of 2*v**3/39 - 2*v**2/13 - 6*v/13 + 25. Factor s(k).
2*(k - 3)*(k + 1)/13
Suppose 0 = i + i + 10. Let h = i - -9. Factor -x**h + x**2 - 1/2*x**5 + 0*x**3 + 1/2*x + 0.
-x*(x - 1)*(x + 1)**3/2
Factor 3*u**3 - 2/3 + 16/3*u**2 + 5/3*u.
(u + 1)**2*(9*u - 2)/3
Let w(s) be the third derivative of -s**8/90720 - s**7/22680 + s**5/60 + 2*s**2. Let k(l) be the third derivative of w(l). Solve k(d) = 0 for d.
-1, 0
Suppose 2/13*h**4 + 0 - 2/13*h**3 + 2/13*h**5 + 0*h - 2/13*h**2 = 0. Calculate h.
-1, 0, 1
Let l(m) be the second derivative of 0*m**3 - 1/90*m**4 + 3*m + 4/15*m**2 + 0. Find y, given that l(y) = 0.
-2, 2
Let t(f) = -f**2 + 11*f - 10. Let p(w) = w**2 - w. Let i(x) = 4*p(x) - t(x). Determine o, given that i(o) = 0.
1, 2
Let t(o) be the second derivative of -o**4/102 - o**3/51 + 10*o. Let t(j) = 0. What is j?
-1, 0
Suppose -37*k + 34*k = 0. Suppose 0 + 1/4*h**4 - 1/4*h**3 + k*h - 1/4*h**2 + 1/4*h**5 = 0. Calculate h.
-1, 0, 1
Let k(c) = -3*c**2 + 15*c - 9. Let w(v) = -v**2 + 5*v - 3. Let p(o) = -2*k(o) + 7*w(o). Let z be p(3). Determine m so that 2*m + 4*m**2 - 2*m**2 - z - 1 = 0.
-2, 1
Let b(l) = l**3 - 5*l**2 + l. Let f(a) be the first derivative of a**4/4 - 2*a**3 + a**2/2 + 1. Let i(d) = 4*b(d) - 3*f(d). Factor i(m).
m*(m - 1)**2
Let l(n) = -n**2 + 10*n - 10. Let o be l(8). Suppose -3*c + o = -0*c. Factor -6/7*p**c - 2/7 + 2/7*p**3 + 6/7*p.
2*(p - 1)**3/7
Let s(l) = -5*l**5 - 8*l**4 - 4*l**3 + 2*l**2 + 3*l + 6. Let b(k) = -k**5 - k**4 + 1. Let y(a) = 6*b(a) - s(a). Factor y(z).
-z*(z - 3)*(z - 1)*(z + 1)**2
Let q(x) = 4*x**4 + 0*x**2 + 5*x**2 - x**5 - 8*x**3 + 3*x + 0*x**5. Let k = 4 - 1. Let n(w) = w**3 - w**2 - w. Let c(g) = k*n(g) + q(g). Factor c(i).
-i**2*(i - 2)*(i - 1)**2
Let t(l) be the first derivative of 12/5*l - 6/5*l**2 + 1/5*l**3 - 1. Suppose t(n) = 0. What is n?
2
Let w(u) be the first derivative of -1/10*u**5 - 1/8*u**4 + 0*u + 1/6*u**3 + 1/4*u**2 - 2. Determine y, given that w(y) = 0.
-1, 0, 1
Let b be (-2)/((-8)/3 - -3). Let c be (b + 6)*(1 + 0). Let 2/7*s**2 + 2/7*s + c = 0. Calculate s.
-1, 0
Let w(b) be the third derivative of -b**6/900 + b**5/450 + b**4/180 - b**3/45 + 13*b**2 + b. Factor w(l).
-2*(l - 1)**2*(l + 1)/15
Let j be (3/(-8))/((-120)/32). Let x(k) be the first derivative o