0 = 5*t + d. Determine f, given that -3*f**5 + 7*f**t + 9*f**3 - f + f**2 + 11*f**4 - f**2 + f**2 = 0.
-1, 0, 1/4
Let m be -8*(-1)/(-8)*4. Let b(u) = -2*u**5 + 6*u**4 - 2*u**3 + 6*u**2 + 4. Let v(z) = z**3 + z**2 + 1. Let q(f) = m*v(f) + b(f). Solve q(k) = 0 for k.
0, 1
Let s(t) be the second derivative of -1/3*t**3 + 0 + 3*t - 1/70*t**5 + 1/140*t**6 + 1/84*t**4 + 0*t**2. Let z(c) be the second derivative of s(c). Factor z(a).
2*(3*a - 1)**2/7
Suppose -2*l + 18 = 4*v, -4*v + 12 = -0*v - 4*l. Let m(i) be the second derivative of 0 - 1/6*i**3 - 1/4*i**2 + 2*i - 1/24*i**v. Let m(h) = 0. Calculate h.
-1
Let a(y) be the third derivative of y**7/14 + y**6/20 - y**5/4 - y**4/4 + 7*y**2. Let a(u) = 0. Calculate u.
-1, -2/5, 0, 1
Let d(r) = -r**2 - 13*r - 7. Let q be d(-12). Let m(j) be the third derivative of 0 + 0*j**3 - 1/420*j**6 + 0*j + 0*j**4 - 1/210*j**q - j**2. Factor m(c).
-2*c**2*(c + 1)/7
Factor 3*i**3 - 11*i + 2*i**4 + 12*i - 3*i - 4*i**2 - 2*i - i**5.
-i*(i - 2)**2*(i + 1)**2
Let x be -23 + 27 + (36/(-5))/3. Factor x*h - 12/5*h**2 - 2/5 + 8/5*h**3 - 2/5*h**4.
-2*(h - 1)**4/5
Let y(n) = 6 + 5 + 3*n**3 + n**3 - 6*n**2 - 4 + 3*n. Let r(u) = -u**3 + u**2 - u - 1. Let l(s) = -6*r(s) - 2*y(s). Solve l(w) = 0 for w.
-1, 2
Let f(r) = r**5 + r**4 - r**3 - r**2. Let d(z) = z**5 + z**4 - z**3 - z**2. Suppose k + 9 = 2*a + 2, -3*a + 5*k = 0. Let p(c) = a*d(c) - 4*f(c). Factor p(j).
j**2*(j - 1)*(j + 1)**2
Let o(j) be the third derivative of j**8/2240 - j**7/420 + j**6/240 + j**4/24 - 3*j**2. Let v(h) be the second derivative of o(h). Let v(x) = 0. What is x?
0, 1
Let d(j) = 16*j**2 - 26*j + 18. Let u(z) = 5*z**2 - 9*z + 6. Let t(b) = 6*d(b) - 21*u(b). Factor t(h).
-3*(h - 3)*(3*h - 2)
Let m = -738/7 - -106. Suppose -16/7*h**3 - 16/7*h**4 + m*h + 0 + 4/7*h**2 = 0. What is h?
-1, -1/2, 0, 1/2
Factor -2*f**2 - 2*f**3 + 2*f**4 - 4*f + 4*f + 2*f + 0*f**2.
2*f*(f - 1)**2*(f + 1)
Let a be 0/(-3)*(-3)/6. Let t(h) be the first derivative of -1/5*h**2 + 1/15*h**3 + a*h + 2. Factor t(p).
p*(p - 2)/5
Suppose 0 = m + 6 - 12. Let a(d) = 9*d**3 - 6*d**2 + 21*d. Let u be 6/9*9/(-6). Let x(t) = t**3 + t**2 + t + 1. Let w(h) = m*x(h) + u*a(h). Factor w(b).
-3*(b - 2)*(b - 1)**2
Let t be ((-3)/2)/(4/32). Let r be -3*t/45*2. What is z in 2/5*z**4 - r*z**3 - 8/5*z + 2/5 + 12/5*z**2 = 0?
1
Suppose 2 + 2 = -4*r - j, 0 = -2*r + 2*j + 8. Determine y so that 1/5*y**2 + r*y + 0 = 0.
0
Factor 2*w - 2*w**3 - 12*w**4 + 8*w**4 + 0*w**4 + 4 - 6*w**2 + 6*w**4.
2*(w - 2)*(w - 1)*(w + 1)**2
Let k be 22/30 - (-1)/(-5). Let r(h) be the first derivative of 1 - k*h**3 - 1/10*h**2 - 1/4*h**4 + 2/5*h. Factor r(s).
-(s + 1)**2*(5*s - 2)/5
Let q(l) be the third derivative of 2*l**2 + 8/45*l**5 + 0*l - 2/9*l**4 + 1/9*l**3 + 0. Factor q(z).
2*(4*z - 1)**2/3
Let o(t) = -7*t**4 + 4*t**2. Let f(z) = 8*z**4 - 4*z**2. Let k(l) = 3*f(l) + 4*o(l). Let k(x) = 0. What is x?
-1, 0, 1
Let o(p) be the first derivative of -3*p**5/25 + 3*p**4/10 + 11. Find y, given that o(y) = 0.
0, 2
Let l(x) be the third derivative of 0*x**3 + 0 + 7/30*x**6 + 0*x + 1/3*x**4 - 7*x**2 + 3/5*x**5. Solve l(o) = 0.
-1, -2/7, 0
Let a be 10/15 - 13/(-3). Let h = 5 - a. Factor h - 2/5*l + 6/5*l**2.
2*l*(3*l - 1)/5
Let -3*y**2 + 11*y - 27*y - 2*y**2 + 7*y**2 = 0. What is y?
0, 8
Suppose -4*w - 3*j = -20, 3*w = 133*j - 135*j + 14. Factor 0 - 6/5*r**w + 3/5*r + 3/5*r**3.
3*r*(r - 1)**2/5
Determine o, given that 1/2 + 2/3*o + 1/6*o**2 = 0.
-3, -1
Let n = 116751/4916 + 1/1229. Let y = n - 47/2. Factor -3/4*i + y*i**3 + 0*i**2 + 1/2.
(i - 1)**2*(i + 2)/4
Let x(w) be the second derivative of -1/12*w**4 + 0 + 0*w**3 + 2*w**2 + 6*w. Factor x(f).
-(f - 2)*(f + 2)
Factor 0 - 1/6*s**5 + 1/6*s**4 + 0*s + 1/6*s**3 - 1/6*s**2.
-s**2*(s - 1)**2*(s + 1)/6
Let q(g) be the first derivative of g**4/12 - g**3/6 - g**2 - 3*g + 2. Let h(w) be the first derivative of q(w). Find l such that h(l) = 0.
-1, 2
Let q(h) = 4*h + 1. Let c be q(1). Let w(n) = 8*n**2 + 19*n + 1. Let j(f) = -4*f**2 - 9*f. Let z(r) = c*j(r) + 2*w(r). Factor z(i).
-(i + 2)*(4*i - 1)
Let v = 4 + 1. Let i(n) = n**2 - 6*n + 5. Let t be i(v). Factor 0 + 0*o**3 + 0*o**2 - 1/2*o**4 + t*o - 1/2*o**5.
-o**4*(o + 1)/2
Suppose m = -3*m + 5*r - 2, 5*r - 20 = -5*m. Factor -2*h + h**2 - m*h + 5*h.
h*(h + 1)
Let c(l) be the third derivative of 1/60*l**5 - 1/48*l**4 + 0 - 1/12*l**3 + 0*l - 5*l**2 + 1/120*l**6 - 1/672*l**8 - 1/420*l**7. Factor c(o).
-(o - 1)**2*(o + 1)**3/2
Let g(z) be the first derivative of z**3 + 15*z**2/2 + 18*z - 3. Factor g(l).
3*(l + 2)*(l + 3)
Determine r, given that 1/2*r**2 - 7/4*r + 1/4*r**3 + 1 = 0.
-4, 1
Let q(m) be the first derivative of 5 + 2*m**2 + 0*m - 12*m**3 + 15/2*m**6 - 118/5*m**5 + 105/4*m**4. What is u in q(u) = 0?
0, 2/9, 2/5, 1
Let c(f) = f - 1. Let o be c(5). Suppose -2*g = -0*g - o. Factor -6*s**3 - 10*s**3 + s**2 + 10*s**4 + 3*s**2 - 2*s**5 + 4*s**g.
-2*s**2*(s - 2)**2*(s - 1)
Let l(z) = 2*z**3 + z**2. Let b(x) = 6*x**3 + 2*x**2. Let i(p) = -3*b(p) + 8*l(p). Factor i(d).
-2*d**2*(d - 1)
Let o(m) = 40*m**2 + 455*m + 1440. Let l(x) = 5*x**2 + 57*x + 180. Let j(f) = -25*l(f) + 3*o(f). Determine a so that j(a) = 0.
-6
Let k = 184 - 181. Factor -1/4*m**5 - 1/4 + 3/4*m - 1/2*m**k - 1/2*m**2 + 3/4*m**4.
-(m - 1)**4*(m + 1)/4
Factor -9 - 24*b**3 - 40*b - 13 + 23*b**4 - 48*b**2 + 10 - 27*b**4.
-4*(b + 1)**3*(b + 3)
Let n(t) = -t**3 - 5*t**2 - 8*t + 18. Let g(v) = 8*v**3 + 39*v**2 + 64*v - 145. Let b(l) = -6*g(l) - 51*n(l). Find w such that b(w) = 0.
-4, 1
Solve -20*c + 42*c**5 + 7*c**2 - 6*c**5 + 56*c**3 - 8 + 24*c**5 + 41*c**2 - 136*c**4 = 0 for c.
-2/5, -1/3, 1
Let t(p) be the first derivative of 1 - 1/15*p**5 + 0*p**3 + 0*p + 0*p**2 + 1/12*p**4. Solve t(i) = 0.
0, 1
Let b(t) be the third derivative of 3*t**2 + 0*t + 1/3*t**3 + 0 - 1/1800*t**6 + 0*t**5 + 1/120*t**4. Let j(w) be the first derivative of b(w). Factor j(k).
-(k - 1)*(k + 1)/5
Let o = 0 - -2/7. Factor -o*z**3 + 0 + 2/7*z**4 + 0*z**2 + 0*z.
2*z**3*(z - 1)/7
Suppose 19*j = 16*j + 9. Let i(p) be the third derivative of -1/16*p**4 + 0 + 0*p - 1/240*p**5 - 3/8*p**3 - j*p**2. Determine c so that i(c) = 0.
-3
Let u(m) be the third derivative of m**5/210 + m**4/14 - m**3/3 - 8*m**2. Let u(v) = 0. What is v?
-7, 1
Let p = 38 - 32. Let z be (48/(-30))/(p/(-15)). Find s, given that 2*s**2 + 8/3 - 1/3*s**3 - z*s = 0.
2
Let t be (6/4)/(3/4). Suppose 0 = t*z - 0*z. Factor 0*n**2 - 1/4*n**3 + z + 0*n.
-n**3/4
Let w be (-8)/(3/(3/(-2))). Determine o, given that 36*o**3 + w + 3 - 33*o**2 - 6*o - 4 = 0.
-1/3, 1/4, 1
Let h(k) be the second derivative of k**4/30 + k**3/15 - 6*k. Solve h(g) = 0 for g.
-1, 0
Let l(a) be the first derivative of 4 - 1/6*a + 1/6*a**2 + 7/18*a**3 + 1/6*a**4. Factor l(h).
(h + 1)**2*(4*h - 1)/6
Suppose y - 2*y - 4*s = -12, -2*y + 4*s - 12 = 0. Solve -5*n**5 + 8*n**4 + y*n**5 + 2*n**5 - 11*n**4 = 0 for n.
-1, 0
Let y(i) = -5*i**2 - 2*i**2 + 2*i + 0 + 0 - 4. Let s(k) = -15*k**2 + 5*k - 8. Let x(r) = 6*s(r) - 13*y(r). Factor x(f).
(f + 2)**2
Factor 0 - 5/4*v**2 + 1/2*v - 3/4*v**3.
-v*(v + 2)*(3*v - 1)/4
Let n(u) be the third derivative of -2*u**7/105 - u**6/30 + u**5/15 + u**4/6 + 28*u**2. Factor n(v).
-4*v*(v - 1)*(v + 1)**2
Suppose -8*d + 13*d - 10 = 0. What is p in -203*p**3 + 21*p + 5 + 206*p**3 + 4 + 15*p**d = 0?
-3, -1
Suppose -92 = -2*f + 2*o, 0 = o + 2*o + 3. Factor -f*m - 2*m**2 - m**5 + 2*m**5 + 44*m + 2*m**4.
m*(m - 1)*(m + 1)**3
Let i be 21*-28*1/(-18). Let m = i + -32. Factor 2/3*b + m*b**5 - 4/3*b**2 + 2/3 + 2/3*b**4 - 4/3*b**3.
2*(b - 1)**2*(b + 1)**3/3
Determine z so that z**3 + 3*z**2 + 5*z**2 - 8*z**2 = 0.
0
Let b(s) be the second derivative of -11/10*s**5 + 0*s**2 - 1/5*s**6 - 4*s + 0 - 2*s**4 - 4/3*s**3. Factor b(c).
-2*c*(c + 1)*(c + 2)*(3*c + 2)
Let d be 51/14 + -2 - 14/98. Let -4*a - d - 5/2*a**2 = 0. What is a?
-1, -3/5
Solve -11*b**3 - 4*b + 0*b**2 + 18*b**3 + 2*b**4 + 4*b**2 + 8*b**3 - 5*b**5 = 0 for b.
-1, 0, 2/5, 2
Let v(h) be the first derivative of -h**4/12 + 2*h**3/3 - 2*h**2 - 4*h + 1. Let u(x) be the first derivative of v(x). What is b in u(b) = 0?
2
Suppose 4/3*b + 2/3 + 2/3*b**2 = 0. Calculate b.
-1
Let f(s) = -s**2 - 6*s - 4. Let k be f(-4). Let v be (k/1)/(2 - -4). Factor -2/3*t + 0 - v*t**2.
-2*t*(t + 1)/3
Solve 0*o**4 + 6*o**4 - o**2 - 5*o**4 = 0 for o