 + s**3/30 + 2*s + 1. Let o(v) be the first derivative of d(v). Suppose o(f) = 0. Calculate f.
-1, 0, 1
Let b(z) be the second derivative of -z**4/78 + z**3/39 + 2*z**2/13 - 7*z. Factor b(g).
-2*(g - 2)*(g + 1)/13
Factor -1/4*v**3 - v**2 - 3/4*v + 0.
-v*(v + 1)*(v + 3)/4
Let r(u) be the second derivative of -u**6/270 - u**5/180 + u**4/54 - 31*u. Factor r(s).
-s**2*(s - 1)*(s + 2)/9
Let g(p) = -p**3 + 28. Let i be g(0). Factor -3*y**2 - i + 6*y + 28.
-3*y*(y - 2)
Solve 66*u**2 - 24*u**2 - 22*u**2 - 4*u - 22*u**2 = 0.
-2, 0
Let l = -6 + 10. Suppose 0*b**5 + b**3 + 3*b**5 - l*b**5 = 0. What is b?
-1, 0, 1
Let o be 485/120 + 4*-1. Let a(x) be the second derivative of o*x**4 + 1/12*x**3 + 2*x + 0*x**2 + 0. Factor a(q).
q*(q + 1)/2
Let k(s) be the third derivative of s**6/240 - s**5/60 - 2*s**2. What is h in k(h) = 0?
0, 2
Let l(g) be the first derivative of 3 + 110*g**3 + 20*g**3 - 72*g**2 + 16*g - 22*g**3. Solve l(d) = 0.
2/9
Let a(y) be the first derivative of -44/5*y**2 + 162/25*y**5 + 8/5*y + 314/15*y**3 + 1 - 99/5*y**4. Determine q so that a(q) = 0.
2/9, 1
Let j(m) = -m**2 + 10*m + 13. Let a be j(11). Solve -2/7 + 0*k + 2/7*k**a = 0.
-1, 1
Solve -11/7*c - 6/7 - 3/7*c**2 = 0 for c.
-3, -2/3
Let o(t) be the second derivative of -1/6*t**3 + 0 - 7*t + 1/12*t**4 + 0*t**2. Factor o(f).
f*(f - 1)
Let y(s) be the third derivative of s**7/30 - 3*s**6/40 + s**5/30 + 34*s**2. Determine l so that y(l) = 0.
0, 2/7, 1
Let f(j) = 6*j**3 + 7*j**2 + 13. Let h(y) = -3*y**3 - 3*y**2 - 6. Let p(u) = 6*f(u) + 13*h(u). Factor p(v).
-3*v**2*(v - 1)
Let l be (-70)/28*(-12)/20. Suppose 1/2*u**3 - 1/2 - l*u**2 + 3/2*u = 0. What is u?
1
Factor 0 + 22/7*p**4 - 18/7*p**3 - 8/7*p**5 + 2/7*p + 2/7*p**2.
-2*p*(p - 1)**3*(4*p + 1)/7
Let g be 6/2*4/48. Factor s - 1 - g*s**2.
-(s - 2)**2/4
Let n(j) be the second derivative of -j**6/160 - j**5/40 + j**4/32 + j**3/4 + 3*j**2 - 4*j. Let o(r) be the first derivative of n(r). Factor o(y).
-3*(y - 1)*(y + 1)*(y + 2)/4
Let l be ((-1)/(-2))/((-3)/(-18)). Find b such that -b**l - 5*b**5 + 3*b**4 + b**3 - b**5 = 0.
0, 1/2
Suppose -15 = -5*j, 4*o + 2*j + 0*j - 18 = 0. Factor o*h**2 + h - 5*h + 3*h.
h*(3*h - 1)
Suppose 0 = -4*d + 3*h - 5*h + 6, 3*h - 6 = -5*d. Suppose 0 = -d*b - 2*b + 10. Suppose -6*s**3 - b*s**2 + s**3 + 5*s**2 + 2*s**3 = 0. Calculate s.
0, 1
Let p(m) = -3*m**3 + 3*m**2 + 27*m + 13. Let l(x) = -65*x**3 + 65*x**2 + 595*x + 285. Let r(o) = 2*l(o) - 45*p(o). Suppose r(i) = 0. Calculate i.
-1, 3
Suppose 5 + 15*p**4 - 48*p**4 + 27*p**2 + 12*p + 24*p**5 + 12*p**5 - 38*p**3 - 9 = 0. Calculate p.
-2/3, 1/4, 1
Let j = 8 + -8. Solve -3*l**2 + j*l**2 - 3*l**2 + 3*l**3 + 0*l**2 + 3*l = 0 for l.
0, 1
Let x = 15 + -11. Suppose q + 4*t = x, 2*t - 7*t - 4 = -q. Factor 0*a**3 + 0*a - 2/3 + 4/3*a**2 - 2/3*a**q.
-2*(a - 1)**2*(a + 1)**2/3
Suppose 140 = -m + 6*m. Factor -9*v**3 - m*v - 4 - v**3 + 10*v - 24*v**2.
-2*(v + 1)**2*(5*v + 2)
Let 2*r**4 + 0 + 4/9*r - 2*r**2 + 4/9*r**3 - 8/9*r**5 = 0. Calculate r.
-1, 0, 1/4, 1, 2
Suppose 0 = -9*r + 4*r + 25. Factor -3*l**3 + 3*l**r + 2*l**4 + 0*l**4 - 4*l**4 + 5*l**4 - 3*l**2.
3*l**2*(l - 1)*(l + 1)**2
Let z = -54 + 76. Let f be 1/(-3) - z/(-6). Solve -20/3*l**3 - 4/3*l**5 - f*l**2 + 0*l + 1/3 - 5*l**4 = 0.
-1, 1/4
Let q(l) be the second derivative of 5*l**4/12 + 5*l**3/6 - 5*l**2 - 2*l. Factor q(u).
5*(u - 1)*(u + 2)
Let c = -3 + 3. Let t(k) be the second derivative of c - 2/5*k**2 + 2*k + 1/30*k**4 - 1/15*k**3. Factor t(h).
2*(h - 2)*(h + 1)/5
Let r(a) = 2*a**4 + 12*a**3 + 30*a**2 + 10*a. Suppose -2*c + 7*c = 30. Let k(w) = w**2 - w. Let z(f) = c*k(f) - r(f). Factor z(q).
-2*q*(q + 2)**3
Let t(p) be the first derivative of -34/3*p**3 + 21/4*p**4 - 8/3*p - 2 + 26/3*p**2. Determine w so that t(w) = 0.
2/7, 2/3
Let a(n) be the first derivative of -n**7/1050 + n**6/300 - n**4/60 + n**3/30 - n**2/2 + 4. Let z(b) be the second derivative of a(b). Solve z(k) = 0 for k.
-1, 1
Suppose 0 = 5*f + 3 + 12. Let x = 5 + f. Solve 0*t + 3*t**x - t**3 + 1 - 2*t - t = 0 for t.
1
Factor 0*m**2 - 3/5*m - 2/5 + 1/5*m**3.
(m - 2)*(m + 1)**2/5
Let m(o) be the third derivative of 0*o**4 + 0*o + 0*o**3 + 2*o**2 + 0 - 1/150*o**5. Let m(c) = 0. What is c?
0
Factor -1 - 1 + 3 + 5*m**2 + 12*m + 3.
(m + 2)*(5*m + 2)
Let k(i) be the first derivative of 2*i**3/11 - 18*i**2/11 + 54*i/11 + 7. Factor k(u).
6*(u - 3)**2/11
Let i(b) = b**3 - 4*b**2 + 2*b - 6. Let v be i(4). Let o(a) = -4*a**3 + 13*a**2 + 9*a. Let h(d) = d**3 - 3*d**2 - 2*d. Let r(t) = v*o(t) + 9*h(t). Factor r(g).
g**2*(g - 1)
Suppose 0 = 2*h - 5 - 11. Suppose -4*i - j + 2 = -h, 5*j - 6 = 2*i. Let 0 - 10/9*p**i - 2/9*p**4 + 4/9*p + 8/9*p**3 = 0. Calculate p.
0, 1, 2
Let x = -8 - -13. Suppose x*l - 27 = -5*s - 2, 5*s - 13 = -l. Factor 5*a**3 - 8*a**3 + a - 3*a**s + 7*a**2 - 2.
-(a - 1)**2*(3*a + 2)
Let d(k) = 13*k**4 + 15*k**3 - 7. Let v(j) = -6*j**4 - 8*j**3 + 4. Let u be (-2)/(7/5 + -1). Let a = -12 - u. Let o(l) = a*v(l) - 4*d(l). Factor o(m).
-2*m**3*(5*m + 2)
Let v(z) be the second derivative of 3*z**5/20 + z**4/2 + z**3/2 + 18*z. Find y such that v(y) = 0.
-1, 0
Factor 2*m**3 + 15*m - 11*m + 16 + 0*m**3 - 16*m**2 - 6*m**3.
-4*(m - 1)*(m + 1)*(m + 4)
Suppose -12/7*v**3 + 4/7*v**5 - 4/7*v + 0 + 2/7*v**4 - 2*v**2 = 0. Calculate v.
-1, -1/2, 0, 2
Let v be 64/40*1/2. Determine s so that 2/5*s**5 - 2/5*s + 0 - v*s**4 + 4/5*s**2 + 0*s**3 = 0.
-1, 0, 1
Let p = -154 + 156. Factor -3/4*l**p - 1/4 - l.
-(l + 1)*(3*l + 1)/4
Determine h, given that 5 + 3/2*h - 1/2*h**2 = 0.
-2, 5
Factor 11*l**2 + 5*l**3 - l**3 - 15*l**2.
4*l**2*(l - 1)
Let r(j) be the second derivative of 1/360*j**6 + 0*j**2 - 1/24*j**4 + 0 - 2/3*j**3 - 3*j + 0*j**5. Let y(g) be the second derivative of r(g). Factor y(n).
(n - 1)*(n + 1)
Let u(v) be the second derivative of 9*v**6/40 + 3*v**5/5 + v**4/2 - v**2 + 5*v. Let k(b) be the first derivative of u(b). Factor k(g).
3*g*(3*g + 2)**2
Suppose u + 38 = -4*c + 3*u, 0 = c + 5*u - 7. Let a = -5 - c. Suppose -4*m**2 + 4 + 2 - a*m + 0*m + m**2 = 0. Calculate m.
-2, 1
Factor 0 - 7*p**2 - 1 + 16*p**2 - 1 + 7*p.
(p + 1)*(9*p - 2)
Let r(m) be the third derivative of -m**5/60 - 7*m**4/24 + 4*m**2. Let x(c) = -6*c**2 - 36*c. Let v(z) = 21*r(z) - 4*x(z). Solve v(a) = 0.
0, 1
Let h(m) be the third derivative of m**9/30240 + m**8/10080 - m**7/2520 - m**6/360 - m**5/20 + m**2. Let u(v) be the third derivative of h(v). Factor u(a).
2*(a - 1)*(a + 1)**2
Factor 2/3*x**3 + 10/3*x**2 + 8/3*x + 0.
2*x*(x + 1)*(x + 4)/3
Let i be -1*(-2)/(-20)*-2. Find d such that i*d**2 + 0 - 1/5*d**4 + 1/5*d**3 - 1/5*d = 0.
-1, 0, 1
Factor 1/3 - 3/2*c + 7/6*c**2.
(c - 1)*(7*c - 2)/6
Let b(n) = -n**3 - 3*n**2. Let t be b(-3). Suppose t = -s + 6 - 3. Factor 15*l**4 + 11*l**2 - 3*l + 11*l**2 - 33*l**s - l**2.
3*l*(l - 1)**2*(5*l - 1)
Suppose -s - 3 + 1 = 0, 3*q + 5*s - 5 = 0. Let y(o) be the first derivative of 1 + 8/25*o**q - 2/5*o - 1/5*o**2 - 11/10*o**4 + 6/5*o**3. Factor y(z).
2*(z - 1)**3*(4*z + 1)/5
Let q(o) = o**3 + 5*o**2 - 4. Let j be q(-5). Let m be 4/2 + 0/j. Factor -2*w + 1/3 + 5/3*w**m.
(w - 1)*(5*w - 1)/3
Let q be 51/7 - (-14)/(-49). Let b be q/(-6)*(-4)/7. Find s, given that 4/3*s + 2*s**4 + 0 - 2*s**2 - b*s**5 - 2/3*s**3 = 0.
-1, 0, 1, 2
Let a = -16 + 9. Let k = -5 - a. Factor -1 - 1/2*v**k - 3/2*v.
-(v + 1)*(v + 2)/2
Suppose -w = w - 8. Let m be (w/(-5))/(-5 + 3). Factor m*j**2 - 4/5*j + 0.
2*j*(j - 2)/5
Let j(h) = -6*h**3 - 11*h**2 - 5*h - 11. Let d be (-2)/(-2) + (-3 - -4). Let t(l) = -l**3 - 2*l**2 - l - 2. Let g(c) = d*j(c) - 11*t(c). Factor g(x).
-x*(x - 1)*(x + 1)
Let n(g) be the first derivative of g**6/18 + 2*g**5/15 - 2*g**3/9 - g**2/6 - 8. Suppose n(t) = 0. What is t?
-1, 0, 1
Let p(c) be the second derivative of 128*c**7/105 + 32*c**6/25 + 12*c**5/25 + c**4/15 + 8*c. Suppose p(n) = 0. What is n?
-1/4, 0
Let o(t) be the third derivative of 0 + 1/8*t**4 + 0*t + t**2 + 0*t**3 - 3/40*t**6 - 1/10*t**5. Solve o(w) = 0 for w.
-1, 0, 1/3
Let q be (2/5)/((-2)/(-10)). Let w = -33/35 + 8/7. Factor 2/5 + 3/5*t + w*t**q.
(t + 1)*(t + 2)/5
Let y(z) be the third derivative of z**5/120 - z**4/6 + 5*z**3/4 + 10*z**2 - 5. Factor y(l).
(l - 5)*(l - 3)/2
Let j = 2 - -3. Factor -2*f - j*f**2 - f**3 + 7*f**4 - f**2 - 2*f**3 + 5*f**5 - f**2.
f*(f - 1)*(f + 1)**2*(5*f + 2)
Let t(o) be th