0*w + 8. Factor -x**2 - 2*x**3 + 6*x**w - 3*x**2.
-2*x**2*(x - 1)
Let q = 5195/42 + -495/4. Let l = 4/21 - q. Factor 0*k + l - 1/4*k**2.
-(k - 1)*(k + 1)/4
Let y(u) be the second derivative of -u**9/20160 + 3*u**8/8960 - u**7/1120 + u**6/960 - u**4/3 + 4*u. Let v(m) be the third derivative of y(m). Factor v(o).
-3*o*(o - 1)**3/4
Solve 2*o**3 + 37*o**2 - 2*o**3 + 24*o**4 - 10*o**5 - 61*o**2 + 2*o**3 + 8*o = 0 for o.
-1, 0, 2/5, 1, 2
Solve -6/5 - 9/5*p - 3/5*p**2 = 0.
-2, -1
Let b be (0 + 0)*(-4)/8. Let n(i) = i**3 + 6*i**2 - 8*i - 4. Let m be n(-7). Factor -m*s**5 + 4*s**5 + b*s**3 - s**3.
s**3*(s - 1)*(s + 1)
Let f be (7/3 - 3)*12/(-56). Let h(c) be the second derivative of -5/42*c**4 - f*c**3 + 0 + 2*c + 2/7*c**2. Find t, given that h(t) = 0.
-1, 2/5
Let t = 7 - 5. Determine p so that -6 - 2 - 2*p**t + 9*p - p = 0.
2
Let o = 8 + -2. Let h be 0*(-4 - (3 - o)). Factor 2/5*y + 2/5*y**2 + h.
2*y*(y + 1)/5
Let q(l) be the first derivative of l**5/15 - l**4/6 - 15. Suppose q(c) = 0. What is c?
0, 2
Let a(h) be the second derivative of 0 + 7/30*h**4 - 8/75*h**6 - h + 1/50*h**5 + 1/5*h**2 + 4/105*h**7 - 1/3*h**3. Let a(p) = 0. Calculate p.
-1, 1/2, 1
Let q be (-5 - -2)/(-6)*6. Let m = -1 - -1. Find o, given that -o**3 - q*o + 1 - o**2 + m + 4*o**2 = 0.
1
Factor -6*g**2 + 0*g + 5*g - 5*g + 27*g**3.
3*g**2*(9*g - 2)
Let r be 3/12*-3 - (-125)/60. Let -1/3*a**5 - 2*a**3 - 1/3*a + 4/3*a**2 + r*a**4 + 0 = 0. What is a?
0, 1
Let x(j) be the second derivative of 1/15*j**5 + 0*j**2 - 3*j + 0 + 1/18*j**4 + 0*j**3. Factor x(y).
2*y**2*(2*y + 1)/3
Let m(t) be the second derivative of -t**5/30 - t**4/12 - 5*t**2/2 + t. Let h(x) be the first derivative of m(x). Factor h(a).
-2*a*(a + 1)
Let v(i) be the third derivative of -3*i**2 - 1/4*i**5 - 1/15*i**6 + 8/105*i**7 + 0 + 0*i - 1/6*i**3 + 1/3*i**4. Let v(j) = 0. What is j?
-1, 1/4, 1
Let p be 0 + (-5 - (-242)/48). Let c(n) be the third derivative of 0 - 1/180*n**5 - p*n**4 - 3*n**2 - 1/9*n**3 + 0*n. Determine j so that c(j) = 0.
-2, -1
Let r = -45 - -47. Let m(g) be the first derivative of 1 - 2/3*g**3 - 5/7*g**r + 4/7*g. Factor m(n).
-2*(n + 1)*(7*n - 2)/7
Let u(v) be the second derivative of -5*v**6/6 + 27*v**5/4 - 75*v**4/4 + 145*v**3/6 - 15*v**2 - 8*v. Solve u(p) = 0 for p.
2/5, 1, 3
Let a(z) be the first derivative of -7*z**4/18 + 38*z**3/27 - 8*z**2/9 - 8*z/9 - 27. Let a(v) = 0. Calculate v.
-2/7, 1, 2
Let p be 6/(-4)*(-8)/(-6). Let t be (16/(-2))/(1*p). What is d in 0*d - 2/3*d**t + 0 + 2/3*d**2 + d**5 - d**3 = 0?
-1, 0, 2/3, 1
Let y(i) be the third derivative of i**6/200 - 3*i**5/100 + 3*i**4/40 - i**3/10 + 19*i**2. Let y(u) = 0. Calculate u.
1
Let t(z) = 16*z**2 - 20*z + 12. Let m(x) = -x**2 + x - 1. Let i(y) = -12*m(y) - t(y). Solve i(h) = 0 for h.
0, 2
Let b be (-6)/(-4) - (-30)/(-20). Let i(y) be the second derivative of b - 1/6*y**3 - 1/4*y**4 + y**2 - 2*y. Factor i(q).
-(q + 1)*(3*q - 2)
Let h(c) be the second derivative of c**4/6 - 2*c**3/3 - 3*c**2 + 9*c. Factor h(l).
2*(l - 3)*(l + 1)
Suppose 3*x - x - 8 = 0. Suppose c + 5*t = -x*c, -5*c + 21 = -2*t. Factor 1/4*m**2 - 1/4*m + 1/4*m**c - 1/4.
(m - 1)*(m + 1)**2/4
Let o(g) be the first derivative of g**7/210 - 2*g**6/45 + g**5/6 - g**4/3 + 5*g**3/3 + 7. Let h(w) be the third derivative of o(w). Factor h(v).
4*(v - 2)*(v - 1)**2
Let f(v) = v**2 - 8*v + 6. Let j be f(7). Let l(s) = 2*s**2 + 4*s - 2. Let b(g) = g**3 + g. Let k(y) = j*l(y) + 2*b(y). Factor k(c).
2*(c - 1)**2*(c + 1)
Let p(a) be the third derivative of a**7/42 + 5*a**6/24 + 3*a**5/4 + 35*a**4/24 + 5*a**3/3 + 7*a**2. Factor p(t).
5*(t + 1)**3*(t + 2)
Let f be (8/16)/(3/(-30)). Let l be (3/f)/((-96)/400). Solve -l*j**3 + 1 + 5/2*j - j**2 = 0 for j.
-1, -2/5, 1
Suppose 0 = -2*l - 2*h - 6, 0 = 5*l - l - h - 13. What is x in -x**3 + 1 - 4*x - 3 - x + 6*x + l*x**2 = 0?
-1, 1, 2
Solve -2/7*n**2 + 2/7*n**3 - 4/7*n + 0 = 0.
-1, 0, 2
Suppose -3*l + 2*g = -2 + 4, -l + g - 1 = 0. Determine i, given that -1/3*i**2 + 4/3 + l*i = 0.
-2, 2
Let k(o) be the second derivative of -o**4/48 + o**2/8 + 3*o. Factor k(n).
-(n - 1)*(n + 1)/4
Let h(p) be the second derivative of p**7/42 - p**6/15 + 2*p. Determine t, given that h(t) = 0.
0, 2
Let p = -2/53 - -112/159. Suppose -2*l - 6 = 0, u + u - 2*l - 10 = 0. Let p - a - 2/3*a**u = 0. What is a?
-2, 1/2
Let q(u) be the first derivative of -u**8/168 - 4*u**7/105 - u**6/12 - u**5/15 + 2*u**2 + 6. Let f(d) be the second derivative of q(d). Factor f(o).
-2*o**2*(o + 1)**2*(o + 2)
Let r(x) be the first derivative of -2*x**3 + 11*x**2 + 8*x - 32. Factor r(v).
-2*(v - 4)*(3*v + 1)
Let u(l) be the first derivative of l**3/3 + 5*l**2 + 25*l + 10. Factor u(k).
(k + 5)**2
Let q(j) = j**3 + 13*j**2 + 10*j - 14. Let u be q(-12). Suppose 0*g + u = 2*g. Factor -1/3*s**g + 0 - 1/3*s**3 + 0*s**2 - 2/3*s**4 + 0*s.
-s**3*(s + 1)**2/3
Suppose 2*u + p + 10 = 5*p, 5*p = 4*u + 5. Suppose 4 = -3*b + u*b. Solve -4/3 - 1/3*m**b + 4/3*m = 0 for m.
2
Solve -14 - 4*p - 2/7*p**2 = 0 for p.
-7
Suppose 0*s - 3*s - 480 = 0. Let m be (2/5)/((-4)/s). Suppose -2*b**4 + 6 + 14*b**3 + 2*b**2 - m*b + 2 - 9*b**4 + 2*b**5 + b**4 = 0. What is b?
-1, 1, 2
Let a(j) be the third derivative of j**6/108 + 2*j**5/45 + j**4/27 + 9*j**2. Solve a(d) = 0.
-2, -2/5, 0
Factor -12 + 20/3*y**2 + 4/3*y**3 + 4*y.
4*(y - 1)*(y + 3)**2/3
Let -9 + 11 - u**3 + 2*u**3 + 4*u**2 + 5*u = 0. Calculate u.
-2, -1
Let f(r) be the third derivative of r**5/15 + r**3/2 + 3*r**2. Let j(g) = 2*g**2 + 2. Let o(t) = -4*f(t) + 7*j(t). Factor o(q).
-2*(q - 1)*(q + 1)
Suppose -10 = -2*y - 2*k, -2*y + 4*k = -4*y + 16. Let n(q) be the first derivative of 1/3*q**3 - 1/2*q**2 + y + 1/4*q**4 - q. Suppose n(d) = 0. What is d?
-1, 1
Let g(i) be the second derivative of -i**4/48 - 5*i**3/24 + 7*i**2/4 + i. Suppose g(o) = 0. Calculate o.
-7, 2
Let n(j) = j**2 + j - 2. Let p(d) = -8*d**2 + 4. Let g(b) = 35*n(b) + 5*p(b). What is x in g(x) = 0?
2, 5
Find i, given that -9 - 9*i**2 - 9*i**3 + i**4 + 33*i + 2*i**4 - 22 + 13 = 0.
-2, 1, 3
Let k(x) be the first derivative of x**4/2 + 14*x**3/15 - 8*x**2/5 - 8*x/5 + 1. Factor k(t).
2*(t - 1)*(t + 2)*(5*t + 2)/5
Suppose -y + 3*j = 0, 6*y + j = y. Let t(n) = 2*n**3 - n**2 + 1. Let k be t(1). Let y*s**3 - 4*s**3 - 2*s**2 + k*s**3 = 0. Calculate s.
-1, 0
Let w(t) be the first derivative of -t**4/18 + 4*t**3/27 - t**2/9 + 18. Determine o so that w(o) = 0.
0, 1
Let y(p) be the second derivative of -3*p**2 + 0 + 5/8*p**4 - 8*p - 2*p**3. Find b such that y(b) = 0.
-2/5, 2
Suppose 0 = -8*l + 12*l - 8. Factor 1 + 0 + 12*u**2 + 8*u - 7 + l.
4*(u + 1)*(3*u - 1)
Let g(r) be the first derivative of -r**4/18 + 16*r**3/27 - 16*r**2/9 - 32. Let g(y) = 0. Calculate y.
0, 4
Let q(k) = -k**3 - 6*k**2 - 6*k + 10. Let b be q(-4). Factor 3*n**3 + 0 + 1/2*n + 2*n**b + 2*n**4 + 1/2*n**5.
n*(n + 1)**4/2
Let b be 2 + (-12)/5 + 56/90. Factor -2/9*l**3 + 0 + 2/9*l**2 - 2/9*l**4 + b*l.
-2*l*(l - 1)*(l + 1)**2/9
Factor 669*a - 10 - 5*a**3 + a**2 - 21*a**2 - 694*a.
-5*(a + 1)**2*(a + 2)
Suppose 3*g - 22 = -2*s, -3*g + 0*g = 5*s - 37. Suppose -t - 3*p - 7 = 8, -g*t = -4*p - 20. Let -v + 4 + 4*v**2 - 4 + t*v**2 = 0. Calculate v.
0, 1/4
Factor 3/5*t**4 + 9/5*t**2 + 0 + 9/5*t**3 + 3/5*t.
3*t*(t + 1)**3/5
Factor 2/3*o**3 - 1/2*o - 1/3 + 1/3*o**2 + 0*o**4 - 1/6*o**5.
-(o - 2)*(o - 1)*(o + 1)**3/6
Let y(h) be the third derivative of -h**8/6720 + h**6/240 + h**5/15 - h**2. Let r(x) be the third derivative of y(x). Determine f, given that r(f) = 0.
-1, 1
Let k = 10 + -8. Factor 2*i**k + 102*i**4 + 2*i**2 + 2*i**5 - 110*i**4 + 4 + 8*i**3 - 10*i.
2*(i - 2)*(i - 1)**3*(i + 1)
Let d be 31/11 - 2/(-11). Suppose -d*s = -14 + 2. Determine f, given that -5*f + 4*f + 5*f**3 - 4*f**3 + 3*f**s - 3*f**2 = 0.
-1, -1/3, 0, 1
Let x(o) be the first derivative of 3*o**7/280 - o**6/30 + o**5/48 + o**4/48 + 3*o**2/2 - 1. Let v(w) be the second derivative of x(w). Solve v(s) = 0.
-2/9, 0, 1
Let q be (-4)/(-1 + -13 + 4). Let m(f) be the first derivative of 0*f**2 - 2/3*f**3 + q*f**5 - 1/2*f**4 + 1/3*f**6 + 0*f + 2. Factor m(x).
2*x**2*(x - 1)*(x + 1)**2
Let r(b) be the second derivative of b**7/21 + 7*b**6/60 + b**5/20 - b**4/24 + 11*b. Let r(l) = 0. Calculate l.
-1, 0, 1/4
Let h be (-10)/4*(-6)/5. Let b(t) = t**3 + t**2 - 4*t - 1. Let l(s) = -s**3 - s**2 + 3*s + 1