r) = 0.
0, 1
Let j = 13 - 9. Let d(b) = -b - 1. Let g be d(-3). Factor 0*q**j - q**5 + 0*q**4 + q - g*q**2 + 2*q**4.
-q*(q - 1)**3*(q + 1)
Solve 0 + 2/13*w + 2/13*w**2 = 0.
-1, 0
Let a(v) = 5*v**5 + v**4 + 2*v**3 - 6*v**2 - 11*v - 7. Let g(y) = -y**5 + y**4 + y**3 + y**2 + y + 1. Let s(w) = a(w) + 4*g(w). Factor s(f).
(f - 1)*(f + 1)**3*(f + 3)
Let g = 11 + -3. Let r be (-7)/2 - (g + -12). Factor 1/2*c**3 - r*c + c**2 - 1.
(c - 1)*(c + 1)*(c + 2)/2
Let q(s) = 20*s - 20. Let i(g) = g**2 - 21*g + 20. Let m(f) = 5*i(f) + 4*q(f). Let m(r) = 0. Calculate r.
1, 4
Factor -1/4*z**4 - 1/4*z + 1/4*z**3 + 1/4*z**2 + 0.
-z*(z - 1)**2*(z + 1)/4
Let s(a) be the second derivative of a**5/60 - a**4/12 + a**3/6 + 3*a**2/2 - a. Let x(r) be the first derivative of s(r). Factor x(y).
(y - 1)**2
Let f(c) be the third derivative of c**5/630 - c**4/252 - 2*c**3/63 + 3*c**2. Factor f(i).
2*(i - 2)*(i + 1)/21
Suppose -2*b + 4*r + 8 = 0, -3 - 5 = 4*r. Suppose 0 = -2*s - s + 4*z, -3*s + z = b. Factor -1/4*u**3 + 0*u + 0 + s*u**2.
-u**3/4
Let f be (-34)/85 - 52/(-30). Factor -2/3 + f*r**3 - 2/3*r**4 - 2/3*r + 4/3*r**2 - 2/3*r**5.
-2*(r - 1)**2*(r + 1)**3/3
Let y(x) be the first derivative of -7 - 3/5*x**4 + 8/5*x**2 + 0*x + 16/15*x**3. Factor y(b).
-4*b*(b - 2)*(3*b + 2)/5
Factor 7*f - 23/4*f**2 - 3 - 1/4*f**4 + 2*f**3.
-(f - 3)*(f - 2)**2*(f - 1)/4
Let k(t) be the first derivative of 9*t**7/70 + 3*t**6/20 - 2*t**5/5 - 3*t**4/4 - t**3/2 - 3*t**2/2 - 2. Let y(h) be the second derivative of k(h). Factor y(u).
3*(u - 1)*(u + 1)*(3*u + 1)**2
Let g(o) = o + 5. Let a be g(-5). Factor 2*p + p + p**2 + a*p**2 - 2*p.
p*(p + 1)
Suppose 3*u - 30 = -3*u. Let b(i) be the first derivative of -1/2*i**4 - i**2 + 1/2*i + i**3 + 2 + 1/10*i**u. Factor b(n).
(n - 1)**4/2
Let z(n) be the first derivative of -n**8/560 + n**7/210 + n**6/300 - 5*n**2/2 + 5. Let s(j) be the second derivative of z(j). Factor s(x).
-x**3*(x - 2)*(3*x + 1)/5
Suppose 0*f + 5*f = 20. Solve -n**5 - 2 + n - 2*n**2 + 2 + 2*n**f = 0.
-1, 0, 1
Let a(c) be the second derivative of -5*c**4/2 - 17*c**3/3 - 2*c**2 - 19*c. Let a(m) = 0. Calculate m.
-1, -2/15
Let z(w) be the third derivative of -w**7/70 - w**6/40 + w**5/20 + w**4/8 - 15*w**2. Factor z(d).
-3*d*(d - 1)*(d + 1)**2
Suppose 33*v - 34*v + 2 = 0. Let 2/5*i**4 - 6/5*i**3 + 2/5*i**v - 4/5 + 6/5*i = 0. Calculate i.
-1, 1, 2
Let c(p) be the third derivative of -p**8/20160 + p**7/5040 + 7*p**5/60 + 7*p**2. Let o(y) be the third derivative of c(y). Factor o(x).
-x*(x - 1)
Let o = -20 + 30. Let q = 10 - o. Find d such that 6*d**5 + 7/2*d - 17/2*d**3 + q*d**2 + 2*d**4 - 1 = 0.
-1, 1/2, 2/3
Let a(i) = 4*i**4 - 8*i**3 - 25*i**2 - 13*i + 3. Let w(x) = -12*x**4 + 24*x**3 + 76*x**2 + 40*x - 8. Let j(v) = 8*a(v) + 3*w(v). Determine q so that j(q) = 0.
-1, 0, 4
Let n(u) be the first derivative of 2/25*u**5 - 4/5*u**2 + 1 + 2/5*u**4 - 8/5*u + 2/5*u**3. Factor n(v).
2*(v - 1)*(v + 1)*(v + 2)**2/5
Let o(w) be the third derivative of -w**8/90720 - w**7/22680 + w**5/60 - w**2. Let l(x) be the third derivative of o(x). Suppose l(g) = 0. Calculate g.
-1, 0
Suppose 3 = -3*y - 9. Let c(u) = 2*u**5 - 4*u**2 - 6*u. Let x(q) = -q**4 - q. Let p(m) = y*x(m) + c(m). Suppose p(o) = 0. Calculate o.
-1, 0, 1
Let f(q) be the third derivative of q**9/50400 + q**8/25200 - q**7/4200 - q**6/900 - q**5/60 - 5*q**2. Let y(a) be the third derivative of f(a). Factor y(c).
2*(c - 1)*(c + 1)*(3*c + 2)/5
Let 15 + 13*w**2 - 2*w + 20*w**2 - 28*w**2 - 18*w = 0. What is w?
1, 3
Find r, given that 44*r**3 + r**2 - 20*r**4 - 22*r**3 + 59*r**2 - 10 - 27*r**3 - 25*r = 0.
-2, -1/4, 1
Factor 351/4*t**3 + 0 - 30*t**2 - 243/4*t**4 + 3*t.
-3*t*(t - 1)*(9*t - 2)**2/4
Suppose -9*p**4 + 40*p**3 - 31*p**5 + 36*p**5 - 21*p**4 = 0. Calculate p.
0, 2, 4
Factor a**3 - a - 2*a**3 + 2*a**3.
a*(a - 1)*(a + 1)
Let h(l) = 4*l**4 - 7*l**3 - 5*l**2 - l. Let w(d) = d**4. Let x(z) = 3*h(z) - 21*w(z). What is p in x(p) = 0?
-1, -1/3, 0
Let t(r) be the third derivative of -r**7/945 + r**6/270 - r**5/270 - 10*r**2. Find b, given that t(b) = 0.
0, 1
Suppose 0 = 4*w + f - 11, 2*w + 5*f = 7*w - 45. Let c be -5 + 7 - (-2 + w). Factor 3*h - h + 2*h**2 + c*h**2.
2*h*(h + 1)
Let f(b) be the third derivative of b**7/525 - b**6/25 + 8*b**5/25 - 16*b**4/15 + b**2 + 3. Solve f(i) = 0 for i.
0, 4
Let h be (-5)/((-255)/6) + 0/(-15). Factor 0 + 6/17*d**3 + 4/17*d**2 - h*d.
2*d*(d + 1)*(3*d - 1)/17
Let f be 14/2 + (-2 - (-1)/(-1)). Solve 2/7*b**2 - 4/7 + 6/7*b**3 - 6/7*b + 2/7*b**f = 0.
-2, -1, 1
Let y(q) be the first derivative of -q**4/10 + 5. Find r such that y(r) = 0.
0
Let h(u) be the first derivative of u**5/10 - u**3 + 2*u**2 + 2*u + 3. Let g(j) be the first derivative of h(j). Factor g(t).
2*(t - 1)**2*(t + 2)
Let s = 14 + -12. Factor -2*x - x + 7*x + 8*x + 4*x**s.
4*x*(x + 3)
Let q(r) be the second derivative of r**7/200 - 3*r**6/200 - 3*r**5/50 + r**4/10 - 2*r**3/3 + 3*r. Let t(x) be the second derivative of q(x). Factor t(a).
3*(a - 2)*(a + 1)*(7*a - 2)/5
Let g(d) be the third derivative of d**5/270 - d**4/54 + d**3/27 + 3*d**2. Factor g(t).
2*(t - 1)**2/9
Let m(k) be the third derivative of 0*k + 17/480*k**6 + 0 + 1/12*k**3 + 1/168*k**7 + 3*k**2 + 7/80*k**5 + 11/96*k**4. Factor m(l).
(l + 1)**3*(5*l + 2)/4
Let a(c) be the second derivative of 0*c**3 + 0*c**5 - 5*c - 1/30*c**6 - 1/2*c**2 + 0 + 1/6*c**4. Factor a(q).
-(q - 1)**2*(q + 1)**2
Let a = 2/7 - -4/35. Suppose -2*x**2 + 2/5 - a*x - 6/5*x**3 = 0. Calculate x.
-1, 1/3
Suppose 43*p - 51*p = 0. Factor p*r**4 + 0*r**2 + 1/3*r - 2/3*r**3 + 0 + 1/3*r**5.
r*(r - 1)**2*(r + 1)**2/3
Suppose -2*k + 29 - 25 = 0. Let -6 - 2/3*n**k - 4*n = 0. Calculate n.
-3
Let u(v) be the first derivative of -3*v**6/2 - 4*v**5 - v**4 + 6*v**3 + 13*v**2/2 + 2*v - 11. Factor u(r).
-(r - 1)*(r + 1)**3*(9*r + 2)
Let s(q) be the first derivative of 3*q**4/40 - 11*q**3/30 + 3*q**2/5 - 2*q/5 + 24. Factor s(y).
(y - 2)*(y - 1)*(3*y - 2)/10
Let z be (72/162)/(28/18). Factor z*g**2 + 2/7*g + 0.
2*g*(g + 1)/7
Let f(v) be the first derivative of v**4/14 + 2*v**3/7 + 2*v**2/7 - 2. Factor f(m).
2*m*(m + 1)*(m + 2)/7
Let a(d) be the first derivative of -49*d**4/8 + 119*d**3/6 + 20*d**2 + 6*d + 5. Factor a(j).
-(j - 3)*(7*j + 2)**2/2
Let o(f) be the first derivative of f**5/10 + f**4/4 - f**3/2 - 2*f**2 - 2*f - 2. Solve o(n) = 0.
-2, -1, 2
Let t(s) be the second derivative of -s - 1/45*s**6 + 1/9*s**2 + 1/9*s**3 + 1/27*s**4 - 1/45*s**5 - 1/189*s**7 + 0. Factor t(q).
-2*(q - 1)*(q + 1)**4/9
Let s(m) be the first derivative of -7*m**5/60 + m**4/18 + 7*m**3/18 - m**2/3 - m + 2. Let z(h) be the first derivative of s(h). Factor z(c).
-(c - 1)*(c + 1)*(7*c - 2)/3
Let t(a) be the second derivative of 1/6*a**4 + 1/8*a**2 - 1/20*a**5 + 2*a - 5/24*a**3 + 0. Find u such that t(u) = 0.
1/2, 1
Factor -d + 0*d**2 - 2*d**2 + 3*d**2.
d*(d - 1)
Suppose 34 = -4*x - 22. Let c(o) = -7 - 10*o - o**2 + 2*o**2 + 9*o**2. Let w(v) = -3*v**2 + 3*v + 2. Let z(b) = x*w(b) - 4*c(b). Solve z(m) = 0.
0, 1
Let p(a) be the first derivative of a**7/840 - a**6/120 + a**5/60 - 3*a**2/2 - 3. Let q(g) be the second derivative of p(g). Factor q(v).
v**2*(v - 2)**2/4
Suppose 12 = -6*f + 12*f. Let 0 - 2/13*c**3 + 0*c + 2/13*c**4 + 0*c**f = 0. What is c?
0, 1
Let w(x) be the second derivative of -x**7/147 + 2*x**6/105 + 3*x**5/70 - 4*x**4/21 + 4*x**3/21 - x. Find o such that w(o) = 0.
-2, 0, 1, 2
Suppose 9*o = 4*o. Let x(r) be the third derivative of -1/12*r**4 - 4/5*r**6 + 0*r**3 + o - 2*r**2 + 0*r + 2/5*r**5 + 64/105*r**7. Solve x(d) = 0 for d.
0, 1/4
Let f(z) be the first derivative of z**5/120 - z**3/12 - z**2/6 - 2*z - 4. Let k(u) be the first derivative of f(u). Find x, given that k(x) = 0.
-1, 2
Factor 15/7*r - 9/7*r**2 - 3/7*r**3 + 3/7*r**4 - 6/7.
3*(r - 1)**3*(r + 2)/7
Let y(h) = -h**3 - 5*h**2 - 6*h - 6. Let v be y(-4). Factor 6*m + m - 4 - m**v - 3*m.
-(m - 2)**2
Let k(y) be the first derivative of 6*y**5/35 + 9*y**4/28 + y**3/7 + 10. Let k(s) = 0. Calculate s.
-1, -1/2, 0
Let k(y) be the first derivative of -4*y**5/7 - 4*y**4/7 + 4*y**3/21 + 15. Find h such that k(h) = 0.
-1, 0, 1/5
Let r(j) be the third derivative of 7*j**2 + 0*j**6 + 2/315*j**7 + 0*j**4 + 0 + 0*j - 1/45*j**5 + 0*j**3. Factor r(u).
4*u**2*(u - 1)*(u + 1)/3
Let w(m) be the first derivative o