Let s = 92/147 - -2/49. Factor 4/3 + 2*a - s*a**3 + 0*a**2.
-2*(a - 2)*(a + 1)**2/3
Let n(u) be the first derivative of 9*u**5/20 - u**4/4 - u**3 - 4*u - 5. Let g(b) be the first derivative of n(b). Solve g(o) = 0 for o.
-2/3, 0, 1
Solve 3*r**2 - r**2 - 2*r**3 + r - 3*r**2 + 1 + r**3 = 0 for r.
-1, 1
Let p be 40/(-90)*(-2)/8. Let j(c) be the first derivative of -p*c**4 - 2/45*c**5 + 2/9*c + 2/9*c**2 + 0*c**3 - 2. Determine u, given that j(u) = 0.
-1, 1
Find r such that 6*r + 72*r**2 - 3 - 38*r**2 - 37*r**2 = 0.
1
Factor -5*a**3 + 3*a**2 + 8*a**3 + 39*a - 3 - 42*a.
3*(a - 1)*(a + 1)**2
Suppose -z + 2*z + 11 = 5*b, b + 3*z = -1. Solve -3 + 5*j + 2*j**2 + 2*j - 5*j**b - j = 0 for j.
1
Suppose 15*j - 5*j = 0. Let o(m) be the third derivative of m**2 + 1/30*m**5 + 1/3*m**3 + j*m - 1/6*m**4 + 0. Factor o(x).
2*(x - 1)**2
Solve 0 - 3/2*b**2 + 9/8*b + 3/8*b**3 = 0.
0, 1, 3
Suppose 0 - 2/9*j**2 - 2/9*j = 0. What is j?
-1, 0
Let g = -164 + 1969/12. Let c(f) be the second derivative of -2*f + 1/40*f**5 + 0 - 1/20*f**6 + 0*f**2 + 1/8*f**4 - g*f**3. Let c(k) = 0. What is k?
-1, 0, 1/3, 1
Let c = 444 + -444. Factor 1/2*i**2 + c + 1/2*i.
i*(i + 1)/2
Let k(g) = -g**2 + g. Let o(n) = 5*n**3 + 10*n**2 - 25*n + 10. Let y(p) = 20*k(p) + o(p). What is t in y(t) = 0?
-1, 1, 2
Let f(l) be the third derivative of -l**6/1080 - l**5/60 - l**4/8 - 2*l**3/3 + 8*l**2. Let j(c) be the first derivative of f(c). Factor j(x).
-(x + 3)**2/3
Factor 2/3*c + 0 + 1/3*c**2.
c*(c + 2)/3
Let m(t) = 2*t**4 + 2*t**3 + 4*t**2 - 4. Let h(b) = 5*b**4 + 5*b**3 + 11*b**2 - 11. Let p(w) = 4*h(w) - 11*m(w). Factor p(q).
-2*q**3*(q + 1)
Let p(h) be the first derivative of h**7/105 + h**6/20 + 9*h**2/2 + 1. Let a(t) be the second derivative of p(t). Solve a(j) = 0 for j.
-3, 0
Let m = 2 - -2. Suppose 0 = c + 4*q - q + 4, -3*c = m*q + 2. Factor 0*z + 1 - z - z + z**c.
(z - 1)**2
Find c, given that -4/9*c - 2/9*c**3 - 2/3*c**2 + 0 = 0.
-2, -1, 0
Suppose p - 1 = -u, -3*u + 2*p - p = -23. Let c(v) be the second derivative of 0*v**4 - 1/10*v**5 + 0*v**3 + 1/15*v**u + 0*v**2 + 0 + v. Factor c(g).
2*g**3*(g - 1)
Let q be 0 - (-5 + 0/(-1)). Find o such that -o**3 - 2*o**5 + 0*o**q + o**4 - 4*o**4 = 0.
-1, -1/2, 0
Factor 1/3*c**3 + 0*c - c**2 + 0.
c**2*(c - 3)/3
Let s(b) be the third derivative of -1/240*b**6 + 0*b - 4*b**2 + 1/40*b**5 - 1/6*b**3 + 1/48*b**4 - 1/420*b**7 + 0. Factor s(f).
-(f - 1)**2*(f + 1)*(f + 2)/2
Let w = -8 - -11. Let -a**5 - a**5 - a**w - 2*a**3 + 5*a**3 = 0. What is a?
-1, 0, 1
Suppose 5*n - 2*n = 0. Factor 4/3*v**2 + n + 2/3*v**4 + 0*v + 2*v**3.
2*v**2*(v + 1)*(v + 2)/3
Let u = -139 - -559/4. Let o(y) be the first derivative of 2 - u*y**2 + 1/4*y**4 + y - 1/2*y**3. Find s, given that o(s) = 0.
-1, 1/2, 2
Let y(f) = 25*f**5 + 29*f**4 + 15*f**3 + 11*f - 11. Let q(w) = -13*w**5 - 15*w**4 - 8*w**3 - 6*w + 6. Let o(g) = -11*q(g) - 6*y(g). Factor o(h).
-h**3*(h + 1)*(7*h + 2)
Let -6/11*j**5 + 14/11*j**4 + 2/11*j**3 + 4/11*j - 14/11*j**2 + 0 = 0. Calculate j.
-1, 0, 1/3, 1, 2
Let d(r) = r**3 + 8*r**2 - 9*r + 4. Let x be d(-9). Let k(q) be the second derivative of 2*q + 1/2*q**2 - 1/12*q**x + 0*q**3 + 0. Determine n so that k(n) = 0.
-1, 1
Suppose -n - 15 = -4*i, -n + 0 = i + 5. Let z be (n/84)/(1/(-3)). Factor 0*j + 0 + z*j**2 + 1/4*j**3.
j**2*(j + 1)/4
Let r = 12 - 9. Suppose -4*w**3 - 4*w**3 - 2*w + 2*w**r + 3*w**5 + 5*w = 0. Calculate w.
-1, 0, 1
Let f(j) = -j**2 + 16*j - 15. Let c be ((-3)/2)/(7/(-70)). Let p be f(c). Determine d so that 0*d - 2/9*d**4 + 2/9*d**3 + 0 + p*d**2 = 0.
0, 1
Let a(t) be the third derivative of -t**5/60 + 3*t**4/20 + 4*t**3/15 + 4*t**2 + 7. What is g in a(g) = 0?
-2/5, 4
Let k(v) = 3*v**2 + 6*v - 5. Let q(s) = s**2 + s - 1. Suppose 0 = -6*x + 9*x + 3. Let t = -4 + 8. Let b(c) = t*q(c) + x*k(c). Factor b(i).
(i - 1)**2
Let i = -372 + 3723/10. Let k(o) be the second derivative of -3/100*o**5 + 12/5*o**2 + 0 + o + i*o**4 - 6/5*o**3. Find g such that k(g) = 0.
2
Suppose 2*y + 5*w = 13 + 5, 4*w - 28 = -5*y. Factor -24/13*b**2 - 6/13 - 2/13*b**y + 20/13*b + 12/13*b**3.
-2*(b - 3)*(b - 1)**3/13
Let h = 90 - 88. Determine m so that -1/6*m**3 - 4/3*m**4 + 1/3*m**h - 5/6*m**5 + 0*m + 0 = 0.
-1, 0, 2/5
Suppose 3*t = -0*t - 6. Let g be (54/15 + t)/2. Determine p, given that 4/5*p + 1/5*p**2 + g = 0.
-2
Suppose a = -2 + 4. Let r(u) be the first derivative of -2/15*u**3 + 1/5*u**4 + 0*u + 0*u**a - 2/25*u**5 + 2. Solve r(c) = 0.
0, 1
Let z(u) be the second derivative of 1/3*u**3 + 0 - 1/20*u**5 + 1/12*u**4 + 0*u**2 + 2*u. Factor z(y).
-y*(y - 2)*(y + 1)
Suppose 3*c + 4*c = 5*c. Factor 1/3*s**3 + c - 2/3*s**2 + 1/3*s.
s*(s - 1)**2/3
Let j be (-21)/126 + (-3)/(-2). Find y, given that -2/3*y**4 + j + 2*y**2 + 10/3*y - 2/3*y**3 = 0.
-1, 2
Let g(f) = f**3 - f**2 - 1. Let l(o) = -o**5 + 4*o**4 - o**3 - 2*o**2 - 4. Let z(s) = 4*g(s) - l(s). Factor z(b).
b**2*(b - 2)*(b - 1)**2
Let c(k) be the first derivative of 3 + 7/16*k**4 - 1/2*k + 11/8*k**2 - 4/3*k**3. Factor c(a).
(a - 1)**2*(7*a - 2)/4
Let y(u) = -25*u**5 + 10*u**4 + 4*u**2 - 4*u. Let c(k) = k**2 - k. Let w(g) = 4*c(g) - y(g). What is p in w(p) = 0?
0, 2/5
Suppose -1 + 9*b**3 + 3*b**4 + 3 - 2 = 0. What is b?
-3, 0
Let w(h) = 2*h - 15. Let z be w(10). Factor 2*g**3 + 0*g - 2*g**4 - 2*g - 2*g**4 - g**2 + z*g**4.
g*(g - 1)*(g + 1)*(g + 2)
Suppose 5*g = 3*v + 6, -2*v + 15 = g + 2*v. Let s(i) be the first derivative of -4*i - 3*i**2 - 2/3*i**g + 1. What is c in s(c) = 0?
-2, -1
Let i(b) be the first derivative of -5 - 6*b**5 + 3/2*b**2 + 3/2*b**6 - 6*b**3 + 0*b + 9*b**4. Factor i(u).
3*u*(u - 1)**3*(3*u - 1)
Let y = 182 + -357/2. Factor -3*d**5 + 0 - y*d**4 + 0*d - d**3 + 0*d**2.
-d**3*(2*d + 1)*(3*d + 2)/2
Let q(m) be the third derivative of -m**6/270 + 2*m**5/135 + 5*m**4/54 - 4*m**3/9 + 7*m**2 - 3. Factor q(a).
-4*(a - 3)*(a - 1)*(a + 2)/9
Factor -3/4*t**3 + 0*t + 0 + 6*t**4 - 3/2*t**2 - 15/4*t**5.
-3*t**2*(t - 1)**2*(5*t + 2)/4
Factor -16*g**2 + 2*g**2 - 24*g - 41 + 49.
-2*(g + 2)*(7*g - 2)
Suppose -5*g - 5 = 5*v, -v + 2*g = -0 - 11. Suppose 0 = -o + 3*n + 31, -4*o + v*o + n + 27 = 0. Solve 0*c**2 + 0*c**3 + 4*c**2 - 25*c**4 + 4*c**3 - o*c**5 = 0.
-1, -2/5, 0, 2/5
Let b = -13 - -13. Let l be -2*(-1)/(-6)*b. Factor -2/5*k**2 + l*k + 0.
-2*k**2/5
Let p(t) = -8*t**3 + 8*t**2 - 2*t. Let s(i) = -i**3 - i. Let v be (-1)/(-2) - 21/2. Let g(u) = v*s(u) + p(u). Suppose g(d) = 0. What is d?
-2, 0
Let g(s) be the third derivative of s**9/5040 - s**8/2240 - s**4/24 + s**2. Let p(o) be the second derivative of g(o). Determine u, given that p(u) = 0.
0, 1
Factor -6/5*v + 2/5 - 6/5*v**4 + 4/5*v**2 + 4/5*v**3 + 2/5*v**5.
2*(v - 1)**4*(v + 1)/5
Let t be 4*(-1 + 3/2). Factor 0*c**2 + 5 - t - 3*c + 3 - 3*c**2.
-3*(c - 1)*(c + 2)
Solve -4/9*l + 2/9*l**2 + 2/9 = 0.
1
Let c(a) be the second derivative of -a**6/225 + 2*a**5/25 - 3*a**4/5 + 12*a**3/5 - 27*a**2/5 - 4*a. Find m such that c(m) = 0.
3
Let q = -19 + 21. Factor -1/2*g**q - 1/2*g + 0.
-g*(g + 1)/2
Let i(o) be the third derivative of 3*o**8/224 - o**7/28 + 7*o**6/240 - o**5/120 - 2*o**2. What is a in i(a) = 0?
0, 1/3, 1
Let r(h) be the second derivative of 0 - 8/9*h**3 + 21/5*h**6 - 27/5*h**5 - 9/7*h**7 + 10/3*h**4 + 0*h**2 - 4*h. Solve r(b) = 0.
0, 1/3, 2/3
Let s(b) = -b**3 + 5*b**2 + 7*b - 3. Let g be s(6). Let -3/2*x**2 - 1/2*x**4 - 1/2*x + 0 - 3/2*x**g = 0. Calculate x.
-1, 0
Let w(t) = -t**3 - 2*t**2 - 4*t - 3. Suppose -3*z + 5 - 11 = 0. Let h be w(z). Factor -3*u**3 + h*u**2 - 4 - u**2 - 14*u + 17*u**3.
2*(u - 1)*(u + 1)*(7*u + 2)
Let x(g) = -g**3 - g**2 - 1. Let h(j) = 2*j**3 + 2*j**2 + 3. Let b(t) = h(t) + 3*x(t). Factor b(z).
-z**2*(z + 1)
Suppose 0*h + 0*h**2 - 1/2*h**3 + 0 = 0. What is h?
0
Let s(l) = 4*l**4 + l**3 + 2*l**2 + 2*l. Let c(x) = -3*x**4 - 2*x**3 - 3*x**2 - 2*x. Let w(u) = -3*c(u) - 2*s(u). Factor w(o).
o*(o + 1)**2*(o + 2)
Let b(o) = -o**5 + o**4 - o**3 - o**2. Let x(t) = 4*t**5 - 14*t**4 + 12*t**3 - 6*t**2. Let y = -2 + 3. Let h(g) = y*x(g) - 2*b(g). Solve h(m) = 0 for m.
0, 2/3, 1
Suppose -2 = 2*l, 2 = 3*p + 5*l - 5. Factor 0 - p*h - 2*h**2 + 0 + 6*h.
-2*h*(h - 1)
Let w(n) be the second derivative of n**7/2520 - n**6/720 + n**4/6 - n. Let c(f) be the third derivative of w(f). Solve c(x) = 0.
0, 1
Let a(l) be the first derivative of 21*l**4/20 - 23*l**3/5 