 d**2 + d**4 - 8*d**5 + 2*d**4 - 3*d**3 + 7*d**l = 0.
0, 1
Let g = -115 - -119. Factor -2*d**2 - 8/3 - g*d - 1/3*d**3.
-(d + 2)**3/3
Let -32/7 - 16/7*p - 2/7*p**2 = 0. Calculate p.
-4
Let q(s) be the third derivative of 0 + 3/40*s**5 - 2*s**2 + 0*s - 3/16*s**4 - 1/80*s**6 + 1/4*s**3. Factor q(k).
-3*(k - 1)**3/2
Factor 8*c**3 - c**4 - 3*c**4 + 3*c**4 + 5*c**4 - 12*c**2.
4*c**2*(c - 1)*(c + 3)
Find a such that 4/9*a + 2/9*a**2 + 0 = 0.
-2, 0
Let v(a) = -3*a**3 - 8*a**2 + 11*a. Let o = -3 + -4. Let l(x) = -2*x**3 - 8*x**2 + 10*x. Let s(j) = o*l(j) + 6*v(j). Let s(n) = 0. Calculate n.
0, 1
Let p be (-3 + (-14)/(-6))*-6. Suppose -3*l = -l - p. What is r in 3*r**2 + 3*r - 4*r**2 - l + 0 = 0?
1, 2
Factor 433*m**2 + 6 - 397*m**2 + m**3 + 15*m**3 - 34*m.
2*(m + 3)*(2*m - 1)*(4*m - 1)
Let m(z) be the first derivative of 2*z**3/3 - 12*z**2 - 26*z + 37. Factor m(p).
2*(p - 13)*(p + 1)
Find h such that 19*h**2 - 12*h - 1 - 3 - 28*h**2 = 0.
-2/3
Let q(v) be the third derivative of -v**8/42 - 17*v**7/105 - 7*v**6/15 - 11*v**5/15 - 2*v**4/3 - v**3/3 + 21*v**2. Factor q(j).
-2*(j + 1)**4*(4*j + 1)
Solve -245*c - 320*c**2 - 5*c**3 + 450*c**2 - 600*c = 0 for c.
0, 13
Factor -27/5*x + 12/5*x**4 + 0 + 69/5*x**3 + 18*x**2.
3*x*(x + 3)**2*(4*x - 1)/5
Suppose 0 = -4*t + 20, 3*r + 4*t = 2*r + 22. What is f in f + 0*f + 6*f**2 - 5*f**r + 5 - f**3 - 6 = 0?
-1, 1
Let k = 80 - 76. Let t(u) be the second derivative of 0 + 1/2*u**k - 3/10*u**5 + 0*u**2 - 1/3*u**3 - 3*u + 1/15*u**6. Factor t(s).
2*s*(s - 1)**3
Let g(o) be the second derivative of -o**7/21 + 2*o**6/105 + 3*o**5/10 - 10*o**4/21 + 4*o**3/21 - 20*o. Let g(r) = 0. What is r?
-2, 0, 2/7, 1
Factor -32/3 + 2/3*d**4 - 8*d**2 - 2/3*d**3 + 56/3*d.
2*(d - 2)**2*(d - 1)*(d + 4)/3
Factor 0 - 1/4*l**2 + 0*l + 1/4*l**3.
l**2*(l - 1)/4
Let g be -2*((-3)/2 - 0). Suppose 32/7*l**2 - 50/7*l**4 + 10/7*l**g + 0 + 8/7*l = 0. Calculate l.
-2/5, 0, 1
Let y = -2 - -6. Let m be ((-2)/4)/(2 - y). Factor 1/4*h**3 + 0 + 1/4*h**4 - m*h**2 - 1/4*h.
h*(h - 1)*(h + 1)**2/4
Let q(h) be the third derivative of h**6/600 - h**5/300 - h**4/20 + 31*h**2. Factor q(u).
u*(u - 3)*(u + 2)/5
Let u(i) = -i**3 - 3*i**2 - 5*i - 6. Let k be u(-2). Find m, given that 2/3*m + 0*m**4 - 4/3*m**3 + 0 + 2/3*m**5 + k*m**2 = 0.
-1, 0, 1
Let u(v) = v + 9. Let q = -2 - 5. Let d be u(q). Factor 0*f**d + 1 - 3 + 3*f - f**2.
-(f - 2)*(f - 1)
Let c be 9/2*(-6)/9. Let t be 5 + c - (-2 + 2). What is f in -4/7*f + 2*f**t + 0 = 0?
0, 2/7
Suppose -42 = 3*y + 3. Let f(p) = -3*p**3 - 15*p**2 + 15*p. Let z(c) = c**2 - c. Let n(h) = y*z(h) - f(h). Factor n(v).
3*v**3
Let y(i) be the second derivative of i**5/70 - i**3/21 - 15*i. Solve y(r) = 0.
-1, 0, 1
Factor -2*h**3 - h**3 + h**2 + h**4 + h**3.
h**2*(h - 1)**2
Let t(o) be the second derivative of -o**5/50 - o**4/30 + o**3/15 + o**2/5 - o + 48. Let t(f) = 0. Calculate f.
-1, 1
Let l(n) be the first derivative of 1/3*n**2 - 2 + 0*n**3 - n - 1/18*n**4. Let i(p) be the first derivative of l(p). Find t such that i(t) = 0.
-1, 1
Let v(w) = -w**2 - 9*w - 8. Let r be v(-7). Suppose -r*i = -2 - 10. Factor -2/7*s**3 + 2/7 - 2/7*s**i + 2/7*s.
-2*(s - 1)*(s + 1)**2/7
Let t(s) = -3*s**2 + 10*s - 15. Let o(i) = 7*i**2 - 21*i + 32. Let n(g) = -4*o(g) - 9*t(g). Suppose n(k) = 0. Calculate k.
-7, 1
Let q(v) be the third derivative of v**7/525 - v**6/150 + v**4/30 - v**3/15 + 3*v**2. Factor q(g).
2*(g - 1)**3*(g + 1)/5
Factor -4/3*w**3 - 2 + 14/3*w - 20/9*w**2 + 2/3*w**4 + 2/9*w**5.
2*(w - 1)**3*(w + 3)**2/9
Suppose -4*x = -2*v, -2*x + x + 10 = 2*v. Let s(h) be the second derivative of 0*h**2 - 1/24*h**3 + 0 + 2*h - 1/48*h**v. Find q, given that s(q) = 0.
-1, 0
Let v be 289/119 + 6/(-14). Suppose -v*q + 9 = -w, -2*q + 3*w = -7 - 12. Factor 0 + 35/2*y**3 - 12*y**2 + q*y.
y*(5*y - 2)*(7*y - 2)/2
Let j be -2*((-2)/(-5))/(52/(-260)). Factor 0 + 0*y - 2/9*y**5 + 2/9*y**j + 0*y**2 + 0*y**3.
-2*y**4*(y - 1)/9
Suppose x = -v + 3, -2*x + 15 = 7*v - 2*v. Suppose -3*o - o = x. Factor o - 2/9*q**3 - 2/9*q**2 + 0*q.
-2*q**2*(q + 1)/9
Let o be (-52)/(-10) + -11 + 7. Let f = -131 - -661/5. Let 2/5 + f*m + 2/5*m**3 + o*m**2 = 0. Calculate m.
-1
Let p(g) be the first derivative of -g**5/15 + g**4/6 + g**3/9 - g**2/3 - 4. Solve p(r) = 0 for r.
-1, 0, 1, 2
Let s(m) be the first derivative of -14*m**5/15 - 2*m**4 + 8*m**3/9 - 10. Solve s(u) = 0 for u.
-2, 0, 2/7
Suppose -8*a + 3*a + 10 = 0. Let m be a/(-12) - (-66)/180. Factor 0*k - m*k**3 - 3/5*k**2 + 4/5.
-(k - 1)*(k + 2)**2/5
Factor -3*i**5 - 12*i**3 - 12*i**4 - 3*i - 12*i**2 - 6*i**3 + 0*i**5.
-3*i*(i + 1)**4
Let r(q) be the third derivative of -6*q**2 + 0*q + 3/140*q**5 - 1/280*q**6 - 1/28*q**4 + 0 + 0*q**3. Factor r(t).
-3*t*(t - 2)*(t - 1)/7
Let c(m) be the first derivative of m**6/18 + m**5/5 + m**4/6 - 2*m**3/9 - m**2/2 - m/3 - 14. Factor c(k).
(k - 1)*(k + 1)**4/3
Let a(o) be the second derivative of -1/6*o**4 - 2/3*o**3 + 5*o + 0 - o**2. Factor a(d).
-2*(d + 1)**2
Let u(f) be the third derivative of 0*f**3 + 0 + 0*f**4 + 0*f**5 + 0*f - 1/420*f**7 - 1/120*f**6 + 1/672*f**8 + 4*f**2. Suppose u(l) = 0. What is l?
-1, 0, 2
Let v(w) be the third derivative of -w**7/315 - w**6/30 - w**5/90 + 2*w**4/3 - 16*w**3/9 + 75*w**2. Determine t so that v(t) = 0.
-4, 1
Solve 6*x**4 + 30*x**3 + 8 - 11*x**4 + 3 - 40*x**2 - 30*x + 34 = 0 for x.
-1, 1, 3
Let r(z) be the first derivative of -3 + 0*z**5 - 1/4*z**2 + 0*z + 1/4*z**4 + 0*z**3 - 1/12*z**6. Factor r(i).
-i*(i - 1)**2*(i + 1)**2/2
Find c, given that -24*c**2 + 2*c - 10*c**5 - 44*c**3 + 16 + 4*c**5 - 28*c**4 - 12 = 0.
-2, -1, 1/3
Let j(y) = -6*y**2 - 5*y + 8. Let s(a) = a**2 + a - 1. Let n be -5 - -1 - 2/(-1). Let w(f) = n*j(f) - 14*s(f). Factor w(b).
-2*(b + 1)**2
Suppose 3*k - 5*h + 4*h = 8, -3*k = -4*h - 14. Suppose 3*a - 5*m - 11 = 0, 5*m - 3 = -2*a - k*a. Factor -3*p**4 + p**2 + 2*p**2 + 0*p**4 - 2*p + a*p**3.
-p*(p - 1)*(p + 1)*(3*p - 2)
Let b(z) be the first derivative of -z**5/50 - z**4/10 - 2*z**3/15 - 2*z - 1. Let q(f) be the first derivative of b(f). Factor q(c).
-2*c*(c + 1)*(c + 2)/5
Let z(v) be the first derivative of -v**3/3 - 3*v**2/2 - 2*v - 5. Solve z(s) = 0.
-2, -1
Let q(u) = u - 1. Let o be (-27)/9 - (-1 + -1). Let c(n) = -n**2 + 4*n - 3. Let d(r) = o*c(r) + 5*q(r). Factor d(m).
(m - 1)*(m + 2)
Let v(t) be the third derivative of t**6/300 + t**5/75 + t**4/60 + 3*t**2. Find n, given that v(n) = 0.
-1, 0
Solve 27/5*o - 6/5*o**2 - 27/5*o**3 + 12/5*o**4 - 6/5 = 0.
-1, 1/4, 1, 2
Suppose 0 = -t + 2*t - 3. Suppose -4 = -t*s + 2. Find q, given that -q**4 + q**4 - 1 - q**4 + 2*q**s = 0.
-1, 1
Factor -30*c + 25*c**4 - 13*c**3 - 60*c**2 + 10*c - 2*c**3.
5*c*(c - 2)*(c + 1)*(5*c + 2)
Let h be ((-15)/(-10))/((-3)/(-10)). Let w(r) be the second derivative of 0*r**3 + 7/48*r**4 + 0 - 3/80*r**h + 3*r - 1/2*r**2. Find v such that w(v) = 0.
-2/3, 1, 2
Determine h, given that 2/7 + 18/7*h**2 - 12/7*h = 0.
1/3
Let w(f) = -19*f + 21*f**2 + 22*f**2 - 30*f**2 + 21. Let x(p) = -32*p**2 + 48*p - 52. Let n(v) = -12*w(v) - 5*x(v). Factor n(t).
4*(t - 2)*(t - 1)
Let u(t) = -3*t**2 - 3*t + 35. Let f(n) = -n**2 - 1. Let p(l) = 6*f(l) + u(l). Let x(b) = 4*b**2 + 2*b - 14. Let a(s) = 6*p(s) + 13*x(s). Factor a(c).
-2*(c - 2)**2
Let a be ((-4)/(-12))/(1/6). Find t such that -t**3 - 3*t**4 + t + 0*t**3 + 3*t**2 - 4*t + 2*t + a*t**5 = 0.
-1, 0, 1/2, 1
Let b(r) be the first derivative of -2*r**3/39 - 5*r**2/13 - 8*r/13 + 12. Solve b(i) = 0.
-4, -1
Suppose 8*u - 18*u = 0. Let -1/2*f**2 - 1/2*f + 3/2*f**3 + u + 1/2*f**4 - f**5 = 0. Calculate f.
-1, -1/2, 0, 1
Let o(b) be the third derivative of -b**6/100 - b**5/15 - b**4/60 + 2*b**3/5 + 6*b**2. Factor o(t).
-2*(t + 1)*(t + 3)*(3*t - 2)/5
Factor 169/10 + 13/5*c + 1/10*c**2.
(c + 13)**2/10
Let z = -570 + 2853/5. Suppose -3/5*u + 6/5 - z*u**2 = 0. Calculate u.
-2, 1
Let a(x) be the first derivative of 3*x**6/14 + 34*x**5/35 + 23*x**4/14 + 8*x**3/7 + x**2/14 - 2*x/7 - 1. Solve a(s) = 0 for s.
-1, 2/9
Let 1/3*p**5 + 0*p - 4/3*p**2 + 0*p**3 + 0 + p**4 = 0. What is p?
-2, 0, 1
Let r(m) = -5*m - 10. Let h be r(-3). Let v(k) be the first derivative of -1/2*k**4 + 1/5*k**h - 1 + k**2 + 0*k**3 - k. What is o in v(o) = 0?
-1, 1
Determine i so that -15*i**4 - 3 + 20*i**3 + 7*i**2 + 15*i + 3*i**5 + 10*i**3 - 37*i**2 = 0.
1
Let w be (4/6)/(1/