5*g + 8/5*g**4 - 8/5*g**2 - 2/5*g**5 - 4/5*g**3 + 0 = 0 for g.
-1, 0, 1, 3
Let u(y) be the second derivative of -y**5/30 - y**4/12 + 2*y**3/3 + y**2 - 4*y. Let p(f) be the first derivative of u(f). Factor p(m).
-2*(m - 1)*(m + 2)
Let m be (1/1)/(-2 - -1). Let k be 6 + 2 + (0 - m). Solve -k*t - 2*t**2 - t**2 + 2*t**2 + 12*t - 2 = 0 for t.
1, 2
Let p(l) be the first derivative of -l**7/126 - l**6/45 - l**5/60 + l - 1. Let x(f) be the first derivative of p(f). Factor x(t).
-t**3*(t + 1)**2/3
Factor 1/6*u**2 + 1/6 - 1/3*u.
(u - 1)**2/6
Suppose h = 3*y - h - 3, 18 = 4*y + 2*h. Let z = 6 - 4. Factor -3*m + m + 6*m**y - m**z - 3*m**2.
2*m*(m - 1)*(3*m + 1)
Let x(a) be the first derivative of 2*a**6 - 4*a**5/5 - 3*a**4 + 4*a**3/3 - 9. Suppose x(n) = 0. Calculate n.
-1, 0, 1/3, 1
Let j(y) be the first derivative of y**7/420 + y**6/80 + y**5/60 + 4*y**2 + 3. Let w(k) be the second derivative of j(k). Factor w(q).
q**2*(q + 1)*(q + 2)/2
Let i(g) = 2*g**5 - g**4 - g**3 + 3*g**2. Let t(p) = p**5 + p**4 - p**3 + p**2 + p. Let o(k) = -i(k) + t(k). Factor o(d).
-d*(d - 1)**3*(d + 1)
Let v be 3*((-4)/3)/(-2). Factor -3*u + 1 + 0 - 3*u**2 - 3*u**4 + u**5 + 2*u**3 + 5*u**v + 0*u**2.
(u - 1)**4*(u + 1)
Let v(h) = 4*h**2 - 57*h - 1. Let x(l) = l + 1. Let j(s) = -v(s) - x(s). Factor j(c).
-4*c*(c - 14)
Factor -d**3 - 4*d**2 + 0*d**2 + 3*d**3.
2*d**2*(d - 2)
Let z(q) = 9*q**3 - 215*q**2 + 1080*q + 1288. Let i(m) = 3*m**3 - 72*m**2 + 360*m + 429. Let d(f) = 8*i(f) - 3*z(f). Factor d(o).
-3*(o - 12)**2*(o + 1)
Determine n, given that -2/13*n + 4/13*n**2 - 2/13 = 0.
-1/2, 1
Suppose -4*j - 7 + 25 = -2*u, -3 = j + 2*u. Factor 0*s**j + 0*s + 0 - 2/5*s**2 + 2/5*s**4.
2*s**2*(s - 1)*(s + 1)/5
Solve -540 + 5/2*r**4 + 85/2*r**3 + 225*r**2 + 270*r = 0.
-6, 1
Let c = 4 + -3. Let o = c + 2. Solve 2*u + 4*u**o - 6*u**2 + 1 + 0 - u**2 = 0 for u.
-1/4, 1
Let a = -231 + 6931/30. Let f(z) be the second derivative of a*z**5 + 0*z**2 + 0 - 2/9*z**3 - z + 1/18*z**4. Factor f(o).
2*o*(o - 1)*(o + 2)/3
Let x(f) = -6*f**2 - 2. Let k(r) = -12*r**2 + r - 5. Let y be 3/9 + 2/(-6). Let w be (-3)/1*(y + 3). Let b(j) = w*x(j) + 4*k(j). Find a, given that b(a) = 0.
-1, 1/3
Let t(s) be the second derivative of -s**7/7 + 7*s**6/10 - 27*s**5/20 + 5*s**4/4 - s**3/2 + 9*s. Suppose t(m) = 0. Calculate m.
0, 1/2, 1
Suppose 3*d - 6 - 6 = 0. Suppose -3*h - 2*g + 11 = 0, 4 = d*h - 4*g - 4. Let 3*o**3 - 7*o**h + 2*o**3 + 2*o**4 = 0. What is o?
0, 1
Let t = 102 - 98. Suppose 0 + 10/3*f**3 - 2*f**5 - 4/3*f - 2/3*f**t + 2/3*f**2 = 0. Calculate f.
-1, 0, 2/3, 1
Let v(d) be the first derivative of -3*d**5/20 + 3*d**3/4 - 3*d**2/4 + 3. Factor v(j).
-3*j*(j - 1)**2*(j + 2)/4
What is m in 9/4*m**2 - 1/4*m**3 - 27/4*m + 27/4 = 0?
3
Let r = 2/275 - -1094/825. Let b(h) be the first derivative of 1 - 2/3*h**4 - r*h**2 + 4/3*h**3 + 2/15*h**5 + 2/3*h. Let b(q) = 0. Calculate q.
1
Let u(g) be the third derivative of g**9/15120 - g**8/2240 + g**7/840 - g**6/720 - g**4/24 + 4*g**2. Let i(q) be the second derivative of u(q). Factor i(w).
w*(w - 1)**3
Factor y**2 + 2*y**2 - y**2 + y**3 - 3*y**4.
-y**2*(y - 1)*(3*y + 2)
Let w = 5 - 2. Factor 6*g + 0*g - w*g**2 + g - 3*g**3 - g.
-3*g*(g - 1)*(g + 2)
Let c(s) be the first derivative of -s**4/4 + 5*s**3/3 + 13*s**2/2 + 7*s - 6. What is o in c(o) = 0?
-1, 7
Let o be (-3 - 1)*(-14)/28. Suppose 4*s - 5*u + 7 = -3, -2*s - o*u + 4 = 0. Solve -8/5*h**4 - 12/5*h**3 - 2/5*h**5 + s - 8/5*h**2 - 2/5*h = 0.
-1, 0
Let d(r) = r**3 - 8*r**2 - r + 10. Let n be d(8). Solve 2*i**4 + 5 + 13*i**3 + 9*i - 3 - n*i**3 + 15*i**2 + i**4 = 0.
-1, -2/3
Let p(d) = 3*d**2 + d + 1. Let v be p(-1). Solve -3*u**v + 2*u**2 + 4*u**3 + 4*u**3 - 4*u**3 = 0.
-2, 0
Let z = 4/593 + 1158/4151. Suppose 2/7*k**2 - 8/7 - z*k**3 + 8/7*k = 0. Calculate k.
-2, 1, 2
Let i(g) be the third derivative of g**6/60 - g**5/120 - g**2. Factor i(l).
l**2*(4*l - 1)/2
Let j(h) = 3*h**2 - 3*h + 2. Let t be j(2). Determine m, given that -3 + 13 - 16*m + t - 2 + 4*m**2 = 0.
2
Let s be 60/22 + 16/88. What is j in 2/11*j**2 + s + 16/11*j = 0?
-4
Let n be (-2 - 28/(-12))*3. Let f(s) be the first derivative of n + 1/10*s**4 + 0*s - 4/15*s**3 + 1/5*s**2. Factor f(x).
2*x*(x - 1)**2/5
Let t(f) be the third derivative of -f**8/20160 + f**7/840 - f**6/80 + 3*f**5/20 - 3*f**2. Let o(c) be the third derivative of t(c). Let o(g) = 0. What is g?
3
Let u(t) be the first derivative of t**8/3360 + t**7/1680 - t**6/720 - t**5/240 - t**3 + 4. Let d(k) be the third derivative of u(k). Factor d(p).
p*(p - 1)*(p + 1)**2/2
Let z be -2 - (-2 + 2) - 126/(-36). Factor -1/2*f**3 + 2 - z*f**2 + 0*f.
-(f - 1)*(f + 2)**2/2
Let p(v) be the second derivative of v**7/84 + v**6/60 - v**5/20 - 3*v. Factor p(t).
t**3*(t - 1)*(t + 2)/2
Let t(k) be the third derivative of -k**8/112 - k**7/70 + 3*k**6/40 + k**5/4 + k**4/4 - 14*k**2. Factor t(l).
-3*l*(l - 2)*(l + 1)**3
Let t(k) be the third derivative of k**8/112 + 2*k**7/35 + 24*k**2. Let t(x) = 0. What is x?
-4, 0
Let o(l) = -l**3 + 2*l**2 + l + 3. Let h be o(3). Let t be 0/(2*h/6). Solve -2 + 5*c**4 + 5*c**3 - 7*c - 3*c**2 + 2*c**3 + t*c = 0.
-1, -2/5, 1
Let f(a) be the third derivative of a**8/20160 + a**7/2520 - a**5/15 + 5*a**2. Let l(g) be the third derivative of f(g). Factor l(w).
w*(w + 2)
Suppose -5*k + 4*j - 44 = 0, 0*j + 4*j = 4*k + 32. Let m be (k/8)/(1/(-2)). Factor 0*y**3 - m*y**3 + y**4 + 2*y**3.
y**3*(y - 1)
Factor 4 + 12 + 2*d**2 + 5*d + 2*d**2 - 21*d.
4*(d - 2)**2
Let q(r) be the second derivative of 0 + 7*r - 1/4*r**4 + 3/2*r**3 - 3*r**2. Determine s so that q(s) = 0.
1, 2
Let n be (-3)/(0 - 5 - 4). Factor -4/3*p + 4/3 + n*p**4 + 2/3*p**3 - p**2.
(p - 1)**2*(p + 2)**2/3
Suppose 2*c - r - 1 = 5, -2*c = 2*r + 6. Suppose 0 = -5*f + 4*z + 92, z - 1 = -4. Determine n, given that f*n**3 + 11*n + 1 + 6*n + 40*n**2 + c = 0.
-2, -1/4
Suppose -2 = k - 5*r, 0 = 4*k - 5*r - 5 - 2. Suppose 5*q - g - 2*g - 7 = 0, k*q - 2*g - 4 = 0. Factor 20*x**q + 2*x + x - 6*x - 2.
(4*x + 1)*(5*x - 2)
Let s = -114651/68 - -1686. Let f = s + 169/748. What is n in -2/11*n**3 + 0 + 0*n**2 + f*n = 0?
-1, 0, 1
Suppose 3*u + 5*n - 40 = 8*u, -4*u + 8 = 4*n. Let x be 0/(-2 - u) - -2. Factor -o**4 + 2*o**3 - o**x + 2*o**3 - 2*o**3.
-o**2*(o - 1)**2
Let v(y) be the third derivative of -y**7/252 - 17*y**6/360 - y**5/10 + y**4/12 - 5*y**2. Let g(j) be the second derivative of v(j). Factor g(k).
-2*(k + 3)*(5*k + 2)
Let b be 2*-1*2/(-2). Let x = 11 + -9. Suppose -2*u**2 - 2*u**b + 3*u**x = 0. Calculate u.
0
Let k(u) = u**3 - u. Let c(s) = -2*s - 5. Let l be c(-4). Let p(z) = z**3 + z**2 - z - 1. Let x(r) = l*p(r) - 6*k(r). Find i, given that x(i) = 0.
-1, 1
Let l(k) be the third derivative of k**5/60 + k**4/8 + 2*k**2. Let z(b) be the third derivative of b**4/24 - b**2. Let r(f) = l(f) - 2*z(f). Factor r(w).
w*(w + 1)
Solve 5*k**2 - 1/3*k + 7/3*k**4 - 19/3*k**3 - 2/3 = 0 for k.
-2/7, 1
Determine r so that 18 + 18*r + 6*r**2 + 2/3*r**3 = 0.
-3
Let c = 2/713 - -2099/14260. Let s(v) be the third derivative of -1/12*v**4 - v**2 + 0*v + 0*v**3 + 0 - c*v**5. Factor s(o).
-o*(9*o + 2)
Let m be 6/8*4/1. Find f such that 3/2*f**3 + 0 - 9/2*f**2 + m*f = 0.
0, 1, 2
Let g(u) = 3*u**4 + 2*u**3 + 11*u**2 + 8*u. Suppose -8*z + 24 = -11*z. Let v(s) = -2*s**4 - s**3 - 7*s**2 - 5*s. Let f(w) = z*v(w) - 5*g(w). Factor f(q).
q**2*(q - 1)**2
Determine x, given that -4/3 + x + 1/3*x**2 = 0.
-4, 1
Let q = -143631 - -21544729/150. Let y = -2/75 + q. Factor -y - 2*u**2 + 2*u.
-(2*u - 1)**2/2
Let q = 224 - 224. Factor -2/9*v**4 + 0*v**2 - 2/9*v**3 + q + 0*v.
-2*v**3*(v + 1)/9
Let g(n) = 3*n**4 - 2*n**3 - n**2 + 2*n + 2. Let y(z) = 16*z**4 - 10*z**3 - 6*z**2 + 11*z + 11. Let b(h) = -11*g(h) + 2*y(h). Factor b(w).
-w**2*(w - 1)**2
Let m(s) be the third derivative of 0*s - 1/330*s**5 + 2/33*s**3 + 1/132*s**4 + 0 - 2*s**2. Solve m(p) = 0 for p.
-1, 2
Let r(x) = -7*x**2 + 4*x - 4. Let k(s) = 8*s**2 - 4*s + 4. Let o(b) = 6*k(b) + 7*r(b). Find y such that o(y) = 0.
2
Suppose -3*y = 3*v - 9, -5*y + 2*v - 4 = -6*y. Determine p, given that 6*p**4 + p + 2*p**3 - 6*p**2 - y*p - p = 0.
-1, -1/3, 0, 1
Factor 5/9*l**3 + 1/9*l**4 + 0 + 4/9*l + 8/9*l**2.
l*(l + 1)*(l + 2)**2/9
Let o(x) be the second derivative of -x**7/210 - x**6/30 - 9*x**5/100 - 7*x**4/60 - x**3/15 - 6*x. Determine