3*f**t + 1/24*f**4. Factor u(j).
-j*(j - 1)*(j + 2)/2
Let f(h) be the third derivative of -h**10/120960 + h**8/26880 - h**4/4 - h**2. Let b(w) be the second derivative of f(w). Solve b(p) = 0.
-1, 0, 1
Solve 0*v + 1/4*v**3 + 1/2*v**2 + 0 - 1/4*v**4 = 0.
-1, 0, 2
Let h(g) = g**5 - 9*g**3 + 2*g**2. Let a(d) = 5*d**5 - d**4 - 46*d**3 + 9*d**2. Let y(b) = -2*a(b) + 11*h(b). Factor y(s).
s**2*(s - 1)**2*(s + 4)
Suppose 2/17*u**4 - 6/17*u**2 + 10/17*u - 2/17*u**3 - 4/17 = 0. Calculate u.
-2, 1
Let -8*y**3 - 6*y**4 + 10/3*y**2 + 8*y + 8/3 = 0. What is y?
-1, -2/3, 1
Suppose m - 4*m - 3*v - 33 = 0, 2*v = 4*m + 68. Let p be (-2)/(-3)*(0 - m). Determine n, given that n**5 - 3*n**4 + 5*n**3 - 4*n**2 - p*n**5 + 3*n**2 = 0.
-1, 0, 1/3
Let g(h) be the second derivative of -h**7/1260 + h**4/12 + 3*h. Let u(s) be the third derivative of g(s). Find o such that u(o) = 0.
0
Determine i so that -131 - i**3 + 131 + i = 0.
-1, 0, 1
Let k(m) be the first derivative of -m**7/126 + m**5/60 - 2*m - 3. Let r(i) be the first derivative of k(i). Factor r(q).
-q**3*(q - 1)*(q + 1)/3
Let m(x) be the third derivative of 0*x + 1/300*x**5 + 0 + 1/15*x**3 - 2*x**2 - 1/40*x**4. Factor m(g).
(g - 2)*(g - 1)/5
Let 1/6*q**2 - 5/6*q + 1 = 0. Calculate q.
2, 3
Let o(v) be the third derivative of v**2 + 0*v**3 + 0 + 1/300*v**6 + 0*v + 1/350*v**7 - 1/60*v**4 - 1/100*v**5. Find x, given that o(x) = 0.
-1, -2/3, 0, 1
Solve 4/7*z**4 - 4/7*z**3 - 8/7*z**2 + 0 + 0*z = 0 for z.
-1, 0, 2
What is b in -15*b**2 + 5*b**4 + 6 - 12*b**3 + 4 + 7*b**3 + 5*b = 0?
-1, 1, 2
Let a(b) be the first derivative of 0*b**2 + 0*b - 1/24*b**4 - 1/3*b**3 - 1/360*b**6 + 2 + 1/60*b**5. Let r(w) be the third derivative of a(w). Factor r(o).
-(o - 1)**2
Let k(t) be the first derivative of -t**3/21 + 3*t**2/7 + t - 43. Factor k(o).
-(o - 7)*(o + 1)/7
Let r(m) = -2*m + 1 - 2 - 5 - 6*m**3 + 16*m**2. Let f(x) = 6*x**3 - 16*x**2 + 3*x + 5. Let j(b) = 6*f(b) + 5*r(b). Factor j(n).
2*n*(n - 2)*(3*n - 2)
Let q be (-6)/(-10) - (-1 + -3)/20. Suppose 2/5*a**4 + 2/5*a**2 + 0 - q*a**3 + 0*a = 0. What is a?
0, 1
Let m = -569 + 571. Suppose -m - 5*w - 3/4*w**3 - 7/2*w**2 = 0. Calculate w.
-2, -2/3
Determine s, given that 0*s - 1/2*s**4 + 0 - 1/2*s**2 + s**3 = 0.
0, 1
Let j = 11 - 10. Suppose -r = -4 + j. Solve 55/4*g**2 + 1 - 59/4*g**4 - 7/4*g**r + 35/4*g**5 - 7*g = 0 for g.
-1, 2/7, 2/5, 1
Suppose -8 + 6 = -c. Let q(a) be the third derivative of 0 + 0*a + 0*a**3 + 0*a**4 - 1/90*a**5 - a**c - 1/36*a**6 - 4/315*a**7. Factor q(i).
-2*i**2*(i + 1)*(4*i + 1)/3
Let t(a) be the third derivative of a**8/80640 - a**7/10080 + a**6/2880 - a**5/20 + a**2. Let s(v) be the third derivative of t(v). Factor s(p).
(p - 1)**2/4
Suppose -5*z + 7 + 3 = 0. Let x(o) be the first derivative of 1/6*o**3 - 1 + 0*o + 1/8*o**4 + 0*o**z. Find g, given that x(g) = 0.
-1, 0
Let t(z) = -z**3 - 5*z**2 - 2*z - 7. Let i be t(-5). Factor -3*g**i + 4*g**4 - 2*g**4 - 2*g**2 + 3*g**3.
2*g**2*(g - 1)*(g + 1)
Let z(t) be the first derivative of 9*t**5/10 + 15*t**4/4 + 2*t**3/3 - 7*t**2/2 + 3*t/2 - 39. Factor z(r).
(r + 1)*(r + 3)*(3*r - 1)**2/2
Let a(t) be the third derivative of -t**8/168 + t**7/105 + t**6/60 - t**5/30 + 6*t**2. Let a(i) = 0. Calculate i.
-1, 0, 1
Factor 0 + 1/4*m**4 + 1/4*m**3 - 1/4*m - 1/4*m**2.
m*(m - 1)*(m + 1)**2/4
Suppose -2*i = i - 15. Let c = i - 3. Factor -l**2 + 0*l**3 + l**3 - 2*l**3 + c*l**3.
l**2*(l - 1)
Factor -2/5*z**2 + 4/5*z - 2/5.
-2*(z - 1)**2/5
Let r(k) be the second derivative of 5*k**4/12 + 25*k**3/3 + 125*k**2/2 + 23*k. Determine z, given that r(z) = 0.
-5
Let r(a) = 2*a**2 + 16*a + 10. Let k(w) = -6*w**2 - 49*w - 29. Let h(o) = 4*k(o) + 14*r(o). Determine g, given that h(g) = 0.
-6, -1
Let g(j) be the third derivative of j**8/168 + 2*j**7/105 - j**5/15 - j**4/12 + 6*j**2. Solve g(f) = 0.
-1, 0, 1
Let s be (4 - (4 - 0)) + 4. Factor 0 - 2/3*d**2 - 2/9*d**s - 2/3*d**3 - 2/9*d.
-2*d*(d + 1)**3/9
Let l(y) be the first derivative of -y**6/1980 - y**5/220 - y**4/66 - y**3 + 2. Let i(a) be the third derivative of l(a). Find j such that i(j) = 0.
-2, -1
Let g(c) = 8*c**3 - 55*c**2 + 172*c - 122. Let p(y) = 15*y**3 - 110*y**2 + 345*y - 245. Let r(d) = 5*g(d) - 3*p(d). Find x such that r(x) = 0.
1, 5
Let r(v) be the second derivative of v**7/210 - 2*v**6/75 + v**5/25 - v. Factor r(i).
i**3*(i - 2)**2/5
Let m = -18 - -26. Let s be (-11)/(-4) - (-2)/m. Suppose -3*w**s + 2*w**4 - 3*w**2 + w + 1 + 2*w**3 + 0*w = 0. Calculate w.
-1, -1/2, 1
Let p(x) be the third derivative of x**9/15120 - x**7/1260 + x**5/12 + 10*x**2. Let u(k) be the third derivative of p(k). Solve u(s) = 0.
-1, 0, 1
Let r(l) = 7*l**2 - 44*l + 37. Let f(d) = 50*d**2 - 310*d + 260. Let t(o) = -2*f(o) + 15*r(o). Factor t(n).
5*(n - 7)*(n - 1)
Let h(a) be the third derivative of -a**7/2100 + a**5/300 - a**3/2 - 4*a**2. Let b(n) be the first derivative of h(n). Determine q, given that b(q) = 0.
-1, 0, 1
Let u = 83/903 - -1/301. Let s(k) be the first derivative of u*k**3 + 0*k - 1/7*k**2 - 1. Determine q so that s(q) = 0.
0, 1
Suppose 0 = 68*z - 56*z. Factor z*y - 2/3*y**2 + 0 + 2/9*y**3.
2*y**2*(y - 3)/9
Let w(j) = 3*j**4 - 12*j**3 + 18*j**2 - 6*j - 3. Let p(g) = -3*g**4 + 12*g**3 - 19*g**2 + 6*g + 4. Let a(i) = -3*p(i) - 4*w(i). Solve a(l) = 0.
0, 1, 2
Let f be 2 + -2 + -1 + 5/5. Let h(w) be the first derivative of 2/3*w**3 - 3/4*w**4 - 1/12*w**6 + 3 - 1/4*w**2 + 2/5*w**5 + f*w. Let h(k) = 0. What is k?
0, 1
Suppose 12*h**3 - 12*h - 5*h**3 + 3*h**2 - 4*h**3 - 12 = 0. What is h?
-2, -1, 2
Let l(g) = -40. Let w(x) = x**2 - 60. Let y(a) = 7*l(a) - 5*w(a). What is n in y(n) = 0?
-2, 2
Suppose 3*n = 5*y - 10, 2*y + n - 10 = y. Find x, given that 27 - 6*x**2 + 5*x + 13*x + 14*x**2 - y*x**2 = 0.
-3
Suppose 4*h - 14 + 2 = 0. Suppose 0 = -4*p + 11 - h. Solve -1 - 5 + s**4 + 4*s**3 + p + 3*s**2 - 4*s + 0 = 0 for s.
-2, -1, 1
Let y(b) be the third derivative of 0 + 1/60*b**6 + 1/3*b**3 - 1/30*b**5 + 0*b - 1/12*b**4 + 3*b**2. Factor y(c).
2*(c - 1)**2*(c + 1)
Let x(v) be the third derivative of v**5/300 - v**4/20 + 3*v**3/10 + 6*v**2. What is h in x(h) = 0?
3
Suppose 3/2*v**2 + 1/2*v**3 + 1/2*v**5 - 3/2*v**4 - v + 0 = 0. Calculate v.
-1, 0, 1, 2
Let t = 11/4 - 5/2. Factor 0*r**2 + 1/4*r**3 + 0 - t*r.
r*(r - 1)*(r + 1)/4
Let j(v) = 6*v**2 - 4*v + 4. Let c(f) = 5*f**2 + 2*f + 1. Let q be c(-1). Let i(x) = 7*x**2 - 3*x + 3. Let o(r) = q*i(r) - 5*j(r). Factor o(s).
-2*(s - 2)**2
Find g such that -7*g + 4 + 6*g + 2*g**3 - g - 4*g = 0.
-2, 1
Suppose -a = 2*a. Let t(x) be the second derivative of -1/70*x**5 - 1/42*x**4 + 1/105*x**6 - 2*x + a + 0*x**2 + 1/21*x**3. Factor t(h).
2*h*(h - 1)**2*(h + 1)/7
Let p(m) be the second derivative of 0*m**3 - 5*m + 1/189*m**7 + 0*m**4 + 0*m**2 + 0 + 0*m**6 - 1/90*m**5. Solve p(d) = 0 for d.
-1, 0, 1
Let w be 16/(3 - (4 + -3)). What is f in -3*f**2 - 16*f - w*f**3 + 18*f + 5*f**5 + 3*f**4 + f**3 = 0?
-1, 0, 2/5, 1
Factor -4*g**5 - 11*g**2 + 4*g**3 + 11*g**2.
-4*g**3*(g - 1)*(g + 1)
Let x(s) = -3*s**3 - 19*s**2 + s + 2. Let b = -3 + 6. Suppose 0 = w + b*w - 56. Let g(k) = 10*k**3 + 56*k**2 - 2*k - 6. Let q(r) = w*x(r) + 5*g(r). Factor q(c).
2*(c + 1)**2*(4*c - 1)
Let y(w) = -2*w - 1. Let p be y(-3). Find t such that 4*t**5 - 6*t**5 + t**5 + 3*t**p = 0.
0
Suppose v + 4*h + 8 = -v, h = -5*v + 7. Solve 0 + 4/5*f + 8/5*f**3 - 2/5*f**4 - v*f**2 = 0.
0, 1, 2
Let m(f) be the second derivative of f**4/6 + 4*f**3 + 36*f**2 + 8*f. Factor m(h).
2*(h + 6)**2
Let j be (-424)/689*(2/(-8) - 0). Find w such that 0 + 4/13*w**2 + j*w + 2/13*w**3 = 0.
-1, 0
Let x(f) = f + 1. Let w be x(2). Solve 2*j**2 - 42*j + 0*j**3 + 43*j + j**w = 0.
-1, 0
Let j be (-3)/(-1) - 33/11. Factor -1/2*o + j - 1/4*o**2 + 2*o**3 - 5/4*o**4.
-o*(o - 1)**2*(5*o + 2)/4
Suppose -9 = -3*t - 4*y, -32*y = -5*t - 35*y + 15. Factor -2/3*s**4 + 0*s**t + 0*s + 4/3*s**2 - 2/3.
-2*(s - 1)**2*(s + 1)**2/3
Let a(o) = o**5 + o**4 + o**3 + o**2 - o + 1. Let h(i) = -2*i**5 - 4*i**4 + 2*i**2 + i - 1. Let w(n) = a(n) + h(n). Let w(r) = 0. Calculate r.
-3, -1, 0, 1
Suppose -3*p + 2 = -4*p - a, 0 = -5*p - 2*a - 4. Suppose -3*l + 3 + 3 = 0. Determine y so that 3*y**l - 5*y**2 + p*y**4 + 2*y**4 = 0.
-1, 0, 1
Determine n so that -2/9*n - 2/9*n**3 - 4/9*n**2 + 0 = 0.
-1, 0
Suppose 0 = 2*c + 1 - 5. Let v(s) be the first deri