4/4 + 5*t**3/9 + t**2/2 - 4*t/3 + 21. Factor z(c).
-(c - 1)**2*(c + 1)*(c + 4)/3
Factor -2/3*r - 1/6*r**4 + 2/3*r**3 - 1/2*r**2 + 2/3.
-(r - 2)**2*(r - 1)*(r + 1)/6
Let v(o) be the first derivative of o**8/2520 - o**7/1890 - o**6/1620 + o**3 - 2. Let k(h) be the third derivative of v(h). Solve k(y) = 0.
-1/3, 0, 1
Let f(c) be the first derivative of -c**5/90 + c**4/54 + c**3/27 - c**2/9 + 3*c - 2. Let x(p) be the first derivative of f(p). Let x(z) = 0. Calculate z.
-1, 1
Find h such that 2/5*h**2 + 6/5*h + 0 = 0.
-3, 0
Let j(w) = -w + 1. Let a be j(2). Let s = 1 - a. Let -3*i**2 + 5*i**2 + 2*i + 2*i - s*i**3 = 0. Calculate i.
-1, 0, 2
Suppose z + y = 3, -3*z + 4*y + 0 = -16. Let j(u) be the second derivative of 1/70*u**5 + u - 1/21*u**3 + 0 + 0*u**2 + 0*u**z. Solve j(s) = 0 for s.
-1, 0, 1
Suppose 2*n + 4*o = -2, -3 = -2*n - o + 1. Let -12 + 5 + 2 + s**n - 5*s**2 + 1 + 8*s = 0. Calculate s.
1, 2
Let d = -2/33901 - -779783/1017030. Let v = d - 1/10. Factor 4/3*m + 2/3 + v*m**2.
2*(m + 1)**2/3
Suppose 4*t + o - 2*o - 36 = 0, -9 = -t - 4*o. Suppose -11 + t = -d. Factor 2/7*v**5 + 4/7*v**d - 6/7*v**4 + 4/7*v**3 - 6/7*v + 2/7.
2*(v - 1)**4*(v + 1)/7
Let v(a) be the second derivative of -25*a**7/42 - 23*a**6/6 - 5*a**5 + 40*a**4/3 + 80*a**3/3 - 40*a**2 - 14*a. Solve v(n) = 0.
-2, 2/5, 1
Find a such that -a**3 - 3/2*a - 9/4*a**2 - 1/4 = 0.
-1, -1/4
Let k = 90 - 90. Solve k + 1/2*z + 1/2*z**2 = 0 for z.
-1, 0
Let h(w) be the second derivative of -5*w + 0 + 0*w**3 + 1/48*w**4 + 0*w**2. What is b in h(b) = 0?
0
Suppose 5*d = -4*r - 7, 0 = 3*r + 3*d + 3. Factor 2 - 3*i**2 - 3*i + 2*i**r + 0 + 2*i**2.
(i - 2)*(i - 1)
Let a = -211 + 1061/5. Factor 2/5*v**4 - 4/5*v + 0*v**3 + 0 - a*v**2.
2*v*(v - 2)*(v + 1)**2/5
Let v(y) be the third derivative of -y**5/15 + y**4/3 + y**2. Factor v(w).
-4*w*(w - 2)
Determine t so that 0*t**5 + t**5 - 2*t**4 + 3*t**3 + t**2 + 5*t**4 = 0.
-1, 0
Let b be (-1)/(36/(-8) - (-5 + 1)). Suppose -4*p + 20 = 4*x, 5*p - x - 1 = 2*x. Let 2/3*z**2 - p*z**3 + 0*z + 0 - 2/3*z**5 + b*z**4 = 0. What is z?
0, 1
Let j = -9 - 1. Let i be (8/(-90))/(4/j). Factor 0*c**2 + i*c**5 + 0*c + 4/9*c**3 - 2/3*c**4 + 0.
2*c**3*(c - 2)*(c - 1)/9
Let x = 34/7 - 142/35. Suppose -2*p - 4/5 + x*p**2 + 2*p**3 = 0. Calculate p.
-1, -2/5, 1
Suppose -4*w = 5*h - 39, 0 = -4*w + 2*h + 6 + 12. Let c be 3/4 + w/(-8). Factor -8 - 24*j + 4*j**2 - 14*j**2 + c.
-2*(j + 2)*(5*j + 2)
Let f(k) = -10*k + 150. Let w be f(15). Factor 0 + 0*g - 2/5*g**4 + 4/5*g**3 + w*g**2.
-2*g**3*(g - 2)/5
Let f(i) be the first derivative of -6 - 6/25*i**5 + 1/10*i**6 + 2/5*i**3 - 3/10*i**2 + 0*i + 0*i**4. Suppose f(t) = 0. Calculate t.
-1, 0, 1
Let 3/4*s**2 - 3/4*s**3 + 0 - 3/4*s**4 + 3/4*s = 0. Calculate s.
-1, 0, 1
Suppose 0 = 4*g - 4 - 4. Let m(c) = 2*c**2 + g*c - 4*c + 2 + 0*c - 14*c**3 + 8*c**4. Let t(y) = y**4 + y**2 + y - 1. Let a(x) = m(x) + 2*t(x). Factor a(v).
2*v**2*(v - 1)*(5*v - 2)
Let h = 3/26 - -5/13. Let o(c) be the first derivative of -1 + h*c**4 + 0*c + 2/3*c**3 + 0*c**2. Factor o(v).
2*v**2*(v + 1)
Let f(q) = 21*q + 340. Let r be f(-16). Factor 1/2*j**2 + 1/2*j**3 - 1/4*j**r - 1/4 - 1/4*j**5 - 1/4*j.
-(j - 1)**2*(j + 1)**3/4
Let m(o) be the second derivative of o**7/42 + 4*o**6/45 + o**5/30 - o**4/3 - 13*o**3/18 - 2*o**2/3 + o. Factor m(g).
(g + 1)**4*(3*g - 4)/3
Suppose -o**3 + 0*o**2 + 3/4*o - 1/4 = 0. What is o?
-1, 1/2
Let m(t) be the second derivative of 4*t + 1/36*t**3 + 0*t**2 + 0 + 1/72*t**4. Let m(q) = 0. What is q?
-1, 0
Let r(g) be the third derivative of -g**9/20160 + g**8/20160 + g**7/1680 - g**6/720 + g**5/20 + g**2. Let p(u) be the third derivative of r(u). Factor p(d).
-(d - 1)*(d + 1)*(3*d - 1)
Let v(x) = -x**3 - 2*x**2 + x. Let r(y) be the first derivative of y**4 + 7*y**3/3 - 2*y**2 - 4. Let o(a) = -6*r(a) - 21*v(a). Determine f so that o(f) = 0.
-1, 0, 1
Let b(y) be the third derivative of 0 + 3*y**2 + 0*y**3 + 1/96*y**4 + 1/240*y**5 + 0*y. Factor b(n).
n*(n + 1)/4
Let x(u) be the first derivative of 1/4*u + 0*u**3 + 1/8*u**4 + 3 - 1/4*u**2 - 1/20*u**5. Factor x(k).
-(k - 1)**3*(k + 1)/4
Factor n**3 - 18 + 18 - n**5.
-n**3*(n - 1)*(n + 1)
Let b(r) = 7*r**2 + 4*r - 11. Let c(w) = 36*w**2 + 20*w - 56. Let s(f) = 16*b(f) - 3*c(f). Determine t, given that s(t) = 0.
-2, 1
Let a be (4 - (-268)/(-60)) + 8/10. Factor 0 + 1/3*o**3 - 2/3*o**4 + a*o**5 + 0*o**2 + 0*o.
o**3*(o - 1)**2/3
Factor 2499 - 5*v**2 + 20*v - 2499.
-5*v*(v - 4)
Suppose 5*x = -3*a, 5*a = -0*x - 5*x. Let r(n) be the second derivative of -2*n + 1/12*n**4 - n**2 + a - 1/6*n**3. Determine i, given that r(i) = 0.
-1, 2
Let c be 2 + 0 - (-40)/(-32). Let 3/4*y - c*y**3 - 3/2*y**2 + 3/2 = 0. Calculate y.
-2, -1, 1
Suppose -3*h = -0*h - 9. Factor 3*j**2 - 2 - 5*j**2 + j**2 + 3*j**4 + 5*j**h - 5*j.
(j - 1)*(j + 1)**2*(3*j + 2)
Let d(f) be the second derivative of -f**7/1260 + f**5/180 + f**3 + f. Let p(w) be the second derivative of d(w). Solve p(r) = 0.
-1, 0, 1
Factor -a**5 - 4*a**3 - 2*a**2 + 2*a**4 + 3*a**5 + 4*a**3 - 2*a**3.
2*a**2*(a - 1)*(a + 1)**2
Let i = 1025 - 2049/2. Factor -1/2*g - i*g**2 + 0.
-g*(g + 1)/2
Suppose w - 3*w = 3*l - 6, 3*w + 4*l = 9. Let t(y) be the third derivative of 1/120*y**6 + 2*y**2 + 0*y + 0 - 1/24*y**4 - 1/30*y**5 + 1/3*y**w. Factor t(a).
(a - 2)*(a - 1)*(a + 1)
Let j(y) be the second derivative of -y**6/900 + y**5/100 - y**4/30 + y**3 - 2*y. Let b(q) be the second derivative of j(q). Factor b(a).
-2*(a - 2)*(a - 1)/5
Let r(a) = 11*a - 30. Let y be r(3). Let n(h) be the second derivative of -1/30*h**4 - 2/5*h**2 - 2*h + 0 - 1/5*h**y. Determine m, given that n(m) = 0.
-2, -1
Find b, given that 6 - 6*b + 15*b + 41*b**2 - 38*b**2 = 0.
-2, -1
Let l(o) = 2*o - 20. Let u be l(11). Let 2/7*y**3 + 4/7*y**u + 0 + 2/7*y = 0. What is y?
-1, 0
Let s be (9/(-60))/(4/48). Let m = s + 37/15. Solve -m - 2/3*c**2 - 4/3*c = 0.
-1
Let l(q) be the second derivative of -q**5/150 + q**2/2 + 4*q. Let o(z) be the first derivative of l(z). Determine i so that o(i) = 0.
0
Let p(o) = -2*o**3 + 7*o**2 - 5*o + 3. Let i(y) = 2*y**3 - 6*y**2 + 4*y - 2. Let z be 1/(3 + (-16)/6). Let s(t) = z*i(t) + 2*p(t). Let s(u) = 0. What is u?
0, 1
Let z(y) be the third derivative of -y**7/70 - 3*y**6/40 - y**5/10 + 3*y**2. Factor z(h).
-3*h**2*(h + 1)*(h + 2)
Let i(b) be the third derivative of 0 - 1/70*b**7 + 0*b + 0*b**4 - 9*b**2 + 1/4*b**5 + 0*b**6 - 2*b**3. Determine z so that i(z) = 0.
-2, -1, 1, 2
Factor 2/9*u**2 + 2/9 + 4/9*u.
2*(u + 1)**2/9
Let f(s) = -21*s**2 + 30*s - 11. Let l(q) = 4*q**2 - 6*q + 2. Let r(w) = 4*f(w) + 22*l(w). Factor r(g).
4*g*(g - 3)
Find z such that 0 + 3/5*z**5 + 0*z + 9/5*z**3 + 0*z**2 - 12/5*z**4 = 0.
0, 1, 3
Suppose 6 = 2*a, -3*b + 21 - 6 = 2*a. Let h(k) be the first derivative of 1/15*k**6 - 1/5*k**4 - 4/15*k**b + 2/25*k**5 + 2 + 2/5*k + 1/5*k**2. Factor h(n).
2*(n - 1)**2*(n + 1)**3/5
Let t be 21/14*(-2)/1 - -6. Let s(u) be the first derivative of 0*u - 1/15*u**5 + 0*u**t + 1/12*u**4 + 2 + 0*u**2. Solve s(a) = 0.
0, 1
Let l(m) be the first derivative of -m**3/9 + m**2/2 - 2*m/3 + 4. Factor l(x).
-(x - 2)*(x - 1)/3
Let m(v) be the third derivative of -v**6/300 + v**5/150 + 9*v**2. Factor m(i).
-2*i**2*(i - 1)/5
Let s(q) be the second derivative of q**4/12 + 2*q**3/3 + 2*q**2 + 3*q. Determine k, given that s(k) = 0.
-2
Let j be (-5 - -12)/(21/6). Factor -3/7*g**j + 0 - 2/7*g.
-g*(3*g + 2)/7
Let g(c) = -c**2 - 10*c + 2. Let q be g(-10). Factor -4*m**2 + 0*m - 6*m**3 + q*m + 8*m**3.
2*m*(m - 1)**2
Let g(y) be the third derivative of 1/240*y**6 + 0*y + 0*y**3 + 1/48*y**4 - 1/60*y**5 + 0 - 5*y**2. Factor g(m).
m*(m - 1)**2/2
Let h(p) be the third derivative of 0*p + 0*p**4 + 0 + 0*p**3 + 5*p**2 - 1/40*p**6 - 1/140*p**7 - 1/40*p**5. Factor h(d).
-3*d**2*(d + 1)**2/2
Factor 4*h**5 + 0*h**5 + 4*h - 8*h**3 + 0*h.
4*h*(h - 1)**2*(h + 1)**2
Suppose 2*p = p + 3. Suppose i - 52 = -p*i. Let 13*a**2 - 4*a - i*a**2 + 2 - 2*a**4 + 4*a**3 = 0. What is a?
-1, 1
Let y(k) be the first derivative of -k**4/16 + k**2/8 - 4. Suppose y(o) = 0. Calculate o.
-1, 0, 1
Let h(x) be the third derivative of -x**2 + 0 - 2/35*x**7 + 0*x + 1/8*x**6 + 0*x**4 + 1/112*x**8 + 0*x**3 - 1/10*x**5. Let h(d) = 0. Calculate d.
0, 1, 2
Let a(p) = p + 2. Let w be a(0). Suppose j + 2*q - 6*q - 22 = 0, -5*q = 25. Find x s