 Factor 0 + 2/5*m**3 + 0*m**2 + 2/5*m**q + 0*m.
2*m**3*(m + 1)/5
Let d(y) = y**2 + y + 1. Let u(s) = 81*s**3 - 115*s**2 + 42*s - 2. Let h(n) = 6*d(n) - 3*u(n). Factor h(c).
-3*(c - 1)*(9*c - 2)**2
Let a be 3 + 52/(-9) - -3. Let p(k) be the first derivative of -a*k**3 - 2/3*k**2 + 2 - 2/3*k. Factor p(s).
-2*(s + 1)**2/3
Let r = -113 + 115. Let m(h) be the second derivative of -3/10*h**5 + h**3 + 0 + 4*h - 3/2*h**r + 0*h**4 + 1/10*h**6. Suppose m(g) = 0. What is g?
-1, 1
Let d(y) = y**3 + 9*y**2 - 11*y. Let j be d(-10). Let o be -3 - 2/j*-17. Suppose -2/5*s**5 + 0*s**2 + 0*s + 0 + o*s**3 + 0*s**4 = 0. What is s?
-1, 0, 1
Let f(o) be the first derivative of -7*o**6/8 - 12*o**5/5 - 3*o**4/4 + 7*o**3/2 + 33*o**2/8 + 3*o/2 - 7. Let f(s) = 0. What is s?
-1, -2/7, 1
Suppose 4*s = v + 12, -s - 33*v = -28*v - 24. Factor 2/3*i**5 + 0*i + 0*i**s - 4/3*i**2 - 2*i**3 + 0.
2*i**2*(i - 2)*(i + 1)**2/3
Let r(h) be the first derivative of -h**3 - 9*h**2/2 + 4. Factor r(a).
-3*a*(a + 3)
Let b be 55/25 - (-1)/(-5). Let u = b + 0. Find a, given that -81*a**u - 4 - 40*a + 0*a**3 + 8*a + 10*a**2 - 28*a**3 = 0.
-2, -2/7, -1/4
Suppose -18 = -0*r - 3*r. Suppose -r*f + 3*f + 12 = 0. Suppose -6/7*p**3 + 6/7*p**f + 0 - 2/7*p**5 + 2/7*p**2 + 0*p = 0. What is p?
0, 1
Suppose -15*s + 32 = -13. Let g(f) be the first derivative of -2/33*f**3 + 1/33*f**6 + 2/55*f**5 + s + 0*f**2 + 0*f - 1/22*f**4. Factor g(a).
2*a**2*(a - 1)*(a + 1)**2/11
Let x(k) be the first derivative of -1/3*k**3 - 2 + 0*k**2 + 0*k - 1/4*k**4. Factor x(o).
-o**2*(o + 1)
Suppose 3*a - 6 = 0, 3*y + y + 4*a - 64 = 0. Suppose -3 + 0*n**3 - 4*n**2 - y*n**2 + 3*n**3 + 9*n + 9*n**2 = 0. Calculate n.
1
Suppose 11 - 1 = -5*n, 2*f + 4*n + 4 = 0. Let q be (f/(-3))/((-21)/14). Let 16/3*s**2 - 44/9*s**3 - 44/9*s**4 + 2/9*s + 14/3*s**5 - q = 0. Calculate s.
-1, -2/7, 1/3, 1
Suppose -13*p - 18 = -16*p. Factor 0*w**2 - 2*w**2 - 4 + p*w + 0*w**2.
-2*(w - 2)*(w - 1)
Let u(z) be the second derivative of -2*z**7/21 - 4*z**6/15 - z**5/5 - 2*z. Let u(r) = 0. What is r?
-1, 0
Let z be (936/135 + (-2)/(-5))/2. Suppose -z*l**4 - 46/3*l**3 - 9 - 30*l**2 - 1/3*l**5 - 27*l = 0. Calculate l.
-3, -1
Factor 3790*a**3 + 8*a**2 + 21*a + 27*a + 32 - 3802*a**3 - 4*a**4.
-4*(a - 2)*(a + 1)*(a + 2)**2
Let l(g) be the third derivative of 1/8*g**4 + 1/60*g**5 + g**2 - 1/40*g**6 - 1/3*g**3 + 1/210*g**7 + 0*g + 0. Factor l(n).
(n - 2)*(n - 1)**2*(n + 1)
Factor -10*f - 6*f**3 - 4*f**2 + 29*f**2 - 40 + f**3.
-5*(f - 4)*(f - 2)*(f + 1)
Let s(h) be the third derivative of h**6/180 + h**5/15 + 7*h**2. Factor s(r).
2*r**2*(r + 6)/3
Let x(t) be the first derivative of -5*t**6/6 + t**5 + 5*t**4/4 - 5*t**3/3 + 19. Factor x(l).
-5*l**2*(l - 1)**2*(l + 1)
Let h(f) be the first derivative of f**4/48 + f**3/12 + f**2/8 - f + 4. Let p(n) be the first derivative of h(n). Factor p(c).
(c + 1)**2/4
Factor 8/5 - 4/5*b**3 + 8/5*b - 6/5*b**2 + 2/5*b**4.
2*(b - 2)**2*(b + 1)**2/5
Let y(q) be the first derivative of -q**4/4 + q**3/3 - 7. Let y(u) = 0. What is u?
0, 1
Let r(t) be the first derivative of -t**6/33 + t**4/11 - t**2/11 - 14. Factor r(b).
-2*b*(b - 1)**2*(b + 1)**2/11
Let f(z) be the first derivative of 2*z**3/3 + z**2 - 25. Find a, given that f(a) = 0.
-1, 0
Let i(h) = -10*h**4 - 4*h**3 + 6*h**2 + 7*h + 7. Let a(z) = 9*z**4 + 4*z**3 - 5*z**2 - 6*z - 6. Let b(y) = -7*a(y) - 6*i(y). Let b(r) = 0. What is r?
-1, -1/3, 0
Factor 3675/4*v + 3*v**4 + 249/4*v**3 - 1029/4 + 1701/4*v**2.
3*(v + 7)**3*(4*v - 1)/4
Let y(x) be the second derivative of -2*x - 1/21*x**3 + 3/35*x**5 + 8/105*x**6 - 1/14*x**4 + 0*x**2 + 0. Find n, given that y(n) = 0.
-1, -1/4, 0, 1/2
Let 0 - 1/5*m**2 - 1/5*m = 0. What is m?
-1, 0
Let y be (-1 - 0)/1*-4. Let h(l) be the second derivative of 2*l - 1/24*l**y + 1/4*l**2 + 0 + 1/40*l**5 - 1/12*l**3. Solve h(v) = 0.
-1, 1
Suppose -39 = 2*r - 5*r. Solve -3*i + 5*i**5 - r*i**4 + 7*i**4 + 6*i**2 - 2*i**5 = 0.
-1, 0, 1
Let -1/5*k**3 + 1/5 + 1/5*k - 1/5*k**2 = 0. Calculate k.
-1, 1
Let m(r) be the third derivative of r**5/60 - r**4/6 + 2*r**3/3 - 20*r**2. Suppose m(z) = 0. Calculate z.
2
Suppose -s - 2*s = -6. Let -4*c + 0 + s*c**2 + 2 + 0 = 0. What is c?
1
Suppose 0 = 4*f - 9 - 3. Let w be f + 1/(4/(-10)). Factor 5/2*m**4 + 5*m**2 + 1/2 + 5/2*m + w*m**5 + 5*m**3.
(m + 1)**5/2
Let w(u) be the first derivative of -u**7/560 - u**6/180 + 11*u**5/720 - u**4/72 - 2*u**3/3 + 10. Let r(z) be the third derivative of w(z). Factor r(s).
-(s + 2)*(3*s - 1)**2/6
Let 8/7 + 2/7*o**2 - 8/7*o = 0. Calculate o.
2
Let p(k) be the second derivative of k**7/70 + k**6/25 + 3*k**5/100 - 2*k. Factor p(h).
3*h**3*(h + 1)**2/5
Suppose 5*q - 35 = 25. Solve 5 - 8*z**2 - 6*z - 17 + q - 2*z**3 = 0 for z.
-3, -1, 0
Find r such that -2/3*r**3 + 8/15*r - 16/15 + 4/5*r**2 + 2/15*r**4 = 0.
-1, 2
Factor 0*a**2 + 1/5*a**3 + 0*a - 1/5*a**4 + 0.
-a**3*(a - 1)/5
Let b(g) = g**3 - 5*g**2 + 6. Let x be b(5). Let l be 27/x + (0 - 3). Factor l*j - 3/2*j**2 + 0.
-3*j*(j - 1)/2
Let n(g) be the third derivative of g**6/120 + g**5/40 - g**3/3 - g**2. Let o(i) be the first derivative of n(i). Suppose o(w) = 0. What is w?
-1, 0
Let z(c) = -2*c + c**2 - 3*c**4 + 3*c - c**3 + 4*c**4. Let w(y) = -9*y**4 + 15*y**3 - 15*y**2 - 3*y. Let r(t) = w(t) + 6*z(t). Factor r(s).
-3*s*(s - 1)**3
Factor 2/3*x**4 + 4/3*x**3 + 0 + 0*x + 2/3*x**2.
2*x**2*(x + 1)**2/3
Factor -8/5*c + 2/5*c**3 + 8/5 - 2/5*c**2.
2*(c - 2)*(c - 1)*(c + 2)/5
Let o(x) be the second derivative of 0*x**2 - 4*x - 1/2*x**3 + 1/1440*x**6 - 1/480*x**5 - 1/48*x**4 + 0. Let t(l) be the second derivative of o(l). Factor t(f).
(f - 2)*(f + 1)/4
Let y(m) be the second derivative of 2*m**6/15 + 6*m**5/5 + 3*m**4 + 8*m. Determine o so that y(o) = 0.
-3, 0
Let y be 2/(92/12 - 5). Let w(m) be the first derivative of 1/8*m**4 + 1/2*m + y*m**2 - 3 + 1/2*m**3. Solve w(n) = 0 for n.
-1
Let t(g) be the third derivative of -3*g**2 + 1/20*g**6 + 0*g + 0*g**3 + 0*g**4 + 1/70*g**7 + 0*g**5 + 0. Factor t(f).
3*f**3*(f + 2)
Let p(o) be the first derivative of 0*o - 2/15*o**3 - 1/5*o**2 - 3. Let p(q) = 0. Calculate q.
-1, 0
Let f(u) be the third derivative of u**7/42 + u**6/12 - u**5/12 - 5*u**4/12 - 2*u**2. What is y in f(y) = 0?
-2, -1, 0, 1
Let s(u) be the second derivative of u**7/15120 - u**6/4320 + u**4/4 - 6*u. Let o(p) be the third derivative of s(p). Factor o(c).
c*(c - 1)/6
Suppose 0 = -n + 4*g - 14, -n - 5*g + 4 = -0*n. Let l be (-3)/n*(-4)/(-6). Determine j, given that 0 - 1/3*j + l*j**3 - 2/3*j**4 + 2/3*j**2 = 0.
-1, 0, 1/2, 1
Suppose -6 - 30 = 4*g. Let j = g + 9. Let 2/3*v - 2/3*v**2 + j = 0. Calculate v.
0, 1
Let y = 91/75 - 27/25. What is r in y*r + 4/15 - 2/15*r**3 - 4/15*r**2 = 0?
-2, -1, 1
Let i = -1259/5 + 253. Suppose 5*c + 0*j = -5*j + 20, -8 = -c - 5*j. Factor 0 - i*k**c + 0*k - 4/5*k**2.
-2*k**2*(3*k + 2)/5
Let j(p) be the second derivative of -1/18*p**4 + 0 + 1/27*p**6 - 7/90*p**5 + p - 2/9*p**2 + 7/27*p**3. Let j(y) = 0. What is y?
-1, 2/5, 1
Let g = 8 - 3. Suppose 0 = -v - 5*p - 8, g*v + 4*p - 3*p = 8. Let 1 - 7*l + l - 3 - 2*l**2 + v*l = 0. What is l?
-1
Factor 0*g**2 - 2/3*g + 2/3*g**3 - 1/3*g**4 + 1/3.
-(g - 1)**3*(g + 1)/3
Let s(p) = 2*p**3 + 10*p**2 - 18*p + 14. Let u(w) = w**3 + 3*w**2 - 6*w + 5. Let g(m) = -3*s(m) + 8*u(m). Solve g(t) = 0 for t.
1
Let g(v) = 4*v**2 + 8*v + 4. Let f be g(-2). Find x such that 3/5*x**5 - 6/5*x**2 - 4/5*x**3 + 1/5*x + 4/5*x**f + 2/5 = 0.
-1, 2/3, 1
Let v(m) = -m**3 + 4*m**2 + 4*m + 7. Let o be v(5). Solve -5*n**2 + 2*n**2 + 7*n**2 - 2*n**o = 0 for n.
0
Suppose -22*i = -32*i. Factor i - 4/5*x**2 + 0*x.
-4*x**2/5
Factor 0 - 1/5*p**2 + 3/5*p.
-p*(p - 3)/5
Let c(t) be the first derivative of -t**8/2520 - t**7/1260 + t**6/540 + t**5/180 - 2*t**3/3 - 3. Let u(m) be the third derivative of c(m). Solve u(x) = 0 for x.
-1, 0, 1
Let w be 464/(-12) - 2/(-6). Let k = w - -39. Factor -5/3*h + 4/3*h**4 + 4/3*h**3 + 1/3*h**5 - 2/3*h**2 - k.
(h - 1)*(h + 1)**3*(h + 2)/3
Find z, given that -1/4*z + 1/2 - 3/4*z**2 = 0.
-1, 2/3
Suppose -7*o + 3*o - 4 = 0. Let x be 1/(o*6/(-4)). Factor -x*c - 4/9 - 2/9*c**2.
-2*(c + 1)*(c + 2)/9
Let w(f) = f**2 + 19*f + 1. Let r be w(-19). Let h be (0 - 1)/(-1) + 2. Factor -4*a**2 + 7/2*a + 3/2*a**h - r.
(a - 1)**2*(3*a - 2)/2
Let q be -1 - 0 - (1 + -4). Suppose 4*w = q*w. Find p, giv