etermine t, given that -16*t**3 + 5*t**2 + 6*t**3 - 9 + 9*t**3 - 3*t = 0.
-1, 3
Let y(p) be the third derivative of -p**8/504 - 2*p**7/315 + p**6/60 + 2*p**5/45 - p**4/9 - 6*p**2. Factor y(l).
-2*l*(l - 1)**2*(l + 2)**2/3
Determine a so that 2*a - 4*a**2 + 3 - 7 + 5*a**2 + a**2 = 0.
-2, 1
Let w(b) be the first derivative of 2*b**3/9 - 4*b**2/3 - 15. Let w(v) = 0. Calculate v.
0, 4
Let b(f) be the second derivative of -f**6/20 + 9*f**5/20 + 7*f**4/8 + 42*f. Suppose b(k) = 0. Calculate k.
-1, 0, 7
Find x, given that -10 + 11*x - 4*x**3 - 3*x**4 - 6*x - x**3 + 15*x**2 - 2*x**4 = 0.
-2, -1, 1
Let k(y) be the first derivative of -y**5/30 - y**2 + 1. Let l(m) be the second derivative of k(m). Solve l(c) = 0 for c.
0
Let k(l) be the second derivative of 1/15*l**3 + 0 + 1/10*l**2 + 1/60*l**4 - 2*l. Factor k(f).
(f + 1)**2/5
Let z(s) be the first derivative of -s**5/45 - s**4/6 - 13*s**3/27 - 2*s**2/3 - 4*s/9 - 21. Determine g so that z(g) = 0.
-2, -1
Let b(f) be the third derivative of -4*f**7/945 + f**6/135 - f**5/180 + f**4/24 - 4*f**2. Let a(o) be the second derivative of b(o). Factor a(t).
-2*(4*t - 1)**2/3
Let o(z) = -z. Let a be o(6). Let l = a - -33/5. Solve l*q**4 + 9/5*q**3 + 3/5*q + 9/5*q**2 + 0 = 0.
-1, 0
Let j(t) = t**2 - t - 1. Let k be j(-1). Determine g, given that k - g - 1/2*g**3 - 7/4*g**2 = 0.
-2, 1/2
Let h = 563 - 563. Factor 0*k + 1/5*k**3 - 2/5*k**5 + h + 1/5*k**4 + 0*k**2.
-k**3*(k - 1)*(2*k + 1)/5
Suppose i = -4*i + 10. Suppose -p**2 + p**2 - 3*p**2 - 3*p + p**3 + 3 + i*p = 0. What is p?
-1, 1, 3
Let f(y) = -y - 2. Let l be f(-5). Let p(q) be the second derivative of 1/20*q**4 + 0 + 0*q**l + 0*q**2 + 2*q. Determine r, given that p(r) = 0.
0
Let h(r) = 4*r - 10. Let a be h(7). Suppose -5*j + c - 1 + 14 = 0, -3*j + 4*c = -a. Suppose 0*b + b**j + 4*b - 4*b - b = 0. Calculate b.
0, 1
Let m = 172/453 - 7/151. Factor -1/3*f**2 - m*f + 0.
-f*(f + 1)/3
Let b = 99 + -99. Let y(v) be the second derivative of 1/21*v**3 + 2*v + 9/70*v**5 + 4/105*v**6 + 1/7*v**4 + b*v**2 + 0. Factor y(z).
2*z*(z + 1)**2*(4*z + 1)/7
Let p be (3/27*-3 - 0)*0. Find z, given that p + 3*z + 13*z**2 + 25/3*z**4 + 55/3*z**3 = 0.
-1, -3/5, 0
Factor 0*q - 1/5*q**3 - 1/5*q**2 + 0.
-q**2*(q + 1)/5
Let u(y) be the first derivative of 3*y**5/100 - y**3/10 - 7*y - 4. Let i(p) be the first derivative of u(p). Determine z so that i(z) = 0.
-1, 0, 1
Let u = 19 + -17. Let g(v) be the third derivative of 1/90*v**5 + 1/72*v**4 + v**u + 0*v**3 + 0*v + 0 + 1/360*v**6. Let g(b) = 0. Calculate b.
-1, 0
Let t(k) be the third derivative of k**7/70 - k**6/4 + 9*k**5/5 - 7*k**4 + 16*k**3 + 16*k**2. Factor t(g).
3*(g - 4)*(g - 2)**3
Let s = 75432087/168644 + -5/24092. Let u = s + -445. Factor 0*n - 8/7*n**2 - 2/7*n**5 - u*n**3 + 0 - 10/7*n**4.
-2*n**2*(n + 1)*(n + 2)**2/7
Let g(w) be the second derivative of -w**6/40 - 3*w**5/80 + w**4/16 + w**3/8 - 12*w. What is o in g(o) = 0?
-1, 0, 1
Suppose 3*n + 5*w = 16, -n + 5*w - 2 = 6. Determine z, given that z**2 + 2*z**n + 26*z - 1 - 28*z = 0.
-1/3, 1
Let j(q) = -q + 18. Let l be j(15). Let s(o) be the first derivative of -2/9*o**l + 1/3*o**2 + 1 + 0*o. Factor s(d).
-2*d*(d - 1)/3
Let v(a) = 4*a + 8*a - 1 - 2*a**3 - 4 + 3*a**2. Let l(j) = j**3 + j**2 - j + 1. Let u(p) = -6*l(p) - v(p). Determine g so that u(g) = 0.
-1, -1/4
Let c(y) be the third derivative of 0*y - 1/6*y**3 + 0 + 0*y**4 + 1/60*y**5 - 6*y**2. Factor c(o).
(o - 1)*(o + 1)
Let a(v) be the third derivative of v**9/1008 - v**7/280 + v**3 + 9*v**2. Let z(u) be the first derivative of a(u). Factor z(m).
3*m**3*(m - 1)*(m + 1)
Suppose -4*f + t + 10 = 0, -3*f = -4*f - t. Factor -4*c + c**f - 6*c**2 + 7*c**2 - 6.
2*(c - 3)*(c + 1)
Find o, given that 5*o**2 - 15*o - 31*o**4 - 33*o**4 + 59*o**4 + 15*o**3 = 0.
-1, 0, 1, 3
Let g = 378 - 1120/3. Determine l, given that 14/3*l - 4/3*l**2 + 4/3 - g*l**3 = 0.
-1, -2/7, 1
Suppose r - 5*r = -12. Factor -m**4 + 2*m**2 + 4*m**4 + 3*m**r - 2*m**2.
3*m**3*(m + 1)
Let r be (1 + 5)*4/8. Let x be (2 - 2)/(-1 - 1). Determine h, given that 14/3*h**2 + 10/3*h**r + 4/3*h + x = 0.
-1, -2/5, 0
Let s = 7/40 + 13/40. Let n be 16/6 - 8/12. Determine u, given that s*u**3 - 3*u**n + 6*u - 4 = 0.
2
Let g(r) = -3*r**5 - 35*r**4 - 94*r**3 - 125*r**2 - 53*r - 5. Let y(u) = u**4 - u**3 + u**2 + u + 1. Let z(m) = g(m) + 5*y(m). Determine n, given that z(n) = 0.
-4, -1, 0
Let x be 3/(30/34) - 200/500. Factor -4/13*z**x + 2/13*z**5 + 2/13*z**4 - 4/13*z**2 + 2/13*z + 2/13.
2*(z - 1)**2*(z + 1)**3/13
Let b(x) be the second derivative of 0*x**4 + 0*x**2 - 3/40*x**5 - 3*x + 0 + 1/4*x**3. Factor b(j).
-3*j*(j - 1)*(j + 1)/2
Let z(j) = j**2 + 5*j - 4. Let a be z(-7). Let c be 4*(-1)/a*-4. Factor -2/5*y**2 - c + 8/5*y.
-2*(y - 2)**2/5
Let g(o) = -5*o**4 - 12*o**3 + 24*o**2 - 20*o - 1. Let t(x) = 3*x**4 + 6*x**3 - 12*x**2 + 10*x + 1. Let r(s) = -4*g(s) - 7*t(s). Suppose r(l) = 0. Calculate l.
1, 3
Let l = 687 - 4807/7. Factor -l*g**3 + 4/7 + 0*g**2 + 6/7*g.
-2*(g - 2)*(g + 1)**2/7
Let f(t) be the first derivative of -4*t + 6*t**3 + 5 + 8*t**3 - 5*t**2 + 4*t**2. Factor f(a).
2*(3*a - 1)*(7*a + 2)
Let y(f) be the third derivative of f**5/15 - f**2. Factor y(d).
4*d**2
Let t = 18 - 15. Let k(y) be the first derivative of 0*y**4 + 2/33*y**t + 2 + 0*y**2 - 2/55*y**5 + 0*y. What is b in k(b) = 0?
-1, 0, 1
Let f(y) = -y**2 + y - 1. Let j(t) = -10*t - 1 + 5 - 8*t - 12*t**2. Let l(u) = -u**3 + 6*u**2 - u. Let d be l(6). Let c(p) = d*f(p) - j(p). Factor c(r).
2*(3*r + 1)**2
Let l = -25/63 + 13/21. Factor l*o**2 + 0 + 4/9*o.
2*o*(o + 2)/9
Let q be 10/(-2 - (-1 + -3)). Let l(p) be the third derivative of 0*p**4 + 0 + 2/735*p**7 - 1/105*p**q + 0*p**3 + 0*p - 2*p**2 - 1/140*p**6. Factor l(i).
2*i**2*(i - 2)*(2*i + 1)/7
Factor -2*u**2 + u**2 - 2*u**3 + 2*u**3 + u**4.
u**2*(u - 1)*(u + 1)
Let b = -26 - -27. Suppose 9 = 4*z + b. Suppose -1/3*k**4 - 8/3*k**3 - 8*k**z - 16/3 - 32/3*k = 0. Calculate k.
-2
Let h = -29005/252 - -1625/14. Let n = h + -2/9. Determine l, given that -3/4*l**2 + n*l - 1/4 + 1/4*l**3 = 0.
1
Let x(w) = 9*w**3 - 9*w**2 - 6*w + 4. Let h(o) = -8*o**3 + 8*o**2 + 7*o - 3. Let q(z) = -4*h(z) - 3*x(z). Factor q(a).
5*a*(a - 2)*(a + 1)
Factor 6*a + 33/5*a**2 + 12/5*a**3 + 9/5.
3*(a + 1)**2*(4*a + 3)/5
Suppose 14 = 4*m - 10. Solve q**2 + 6 + 9 - 6 - m*q = 0 for q.
3
Let i = 6 + 2. Let -i - 2*l**3 + 4*l + 4*l - l + 2*l**2 + l = 0. Calculate l.
-2, 1, 2
Let h(w) be the third derivative of w**6/40 - w**5/20 - 5*w**4/8 - 3*w**3/2 + 12*w**2. Determine y so that h(y) = 0.
-1, 3
Let w(r) = -r**3 - 9*r**2 + 3. Let j be w(-9). Suppose 0 = j*b + 2 - 14. Let 6*n + 0*n - b - 2*n - n**2 = 0. What is n?
2
Let d = -2 + 3. Let t be (d - 0)*(2 - -5). Factor -2*v + 4*v + 2*v**2 - t*v**2 - 2*v**3 + 5*v**4.
v*(v - 1)*(v + 1)*(5*v - 2)
Let i = -464 - -3251/7. Suppose -i*d**4 - 3/7*d**3 + 6/7*d**2 + 0*d + 0 = 0. Calculate d.
-2, 0, 1
Let i be -2*(-3)/(-12)*-6. Factor 6*n + 28*n**i + 64*n**2 + 7*n + 3*n.
4*n*(n + 2)*(7*n + 2)
Let u be 7/((-28)/(-8))*-3. Let q be 6/(-10)*4/u. Factor 2/5*g**4 - 2/5*g**2 + 0*g + 2/5*g**5 + 0 - q*g**3.
2*g**2*(g - 1)*(g + 1)**2/5
Suppose -m + k - 1 = 0, 19 = 5*m + 4*k - 12. Factor -m*f**2 + 4*f**4 + f**4 - 3*f**3 - 2*f**4 + 3*f.
3*f*(f - 1)**2*(f + 1)
Let c(l) be the third derivative of -l**7/1575 + 7*l**5/450 + l**4/30 - 19*l**2. Find h, given that c(h) = 0.
-2, -1, 0, 3
Let 6*j + 0 + 20*j**2 - 46/3*j**3 + 8/3*j**4 = 0. Calculate j.
-1/4, 0, 3
Solve 3*z**3 - 9*z**2 - 30*z + 89 - 174 + 85 = 0.
-2, 0, 5
Let r(s) be the first derivative of s**6/135 + s**5/90 - s**4/54 - s**3/27 - 2*s - 1. Let f(c) be the first derivative of r(c). Factor f(n).
2*n*(n - 1)*(n + 1)**2/9
Let m(f) be the second derivative of -7*f**4/24 - 19*f**3/12 + 3*f**2/2 + 6*f. Factor m(d).
-(d + 3)*(7*d - 2)/2
Let c(u) = -3*u**4 + 21*u**3 - 27*u**2 - 24*u + 15. Let b(j) = j**4 - 10*j**3 + 13*j**2 + 12*j - 8. Let l(f) = 9*b(f) + 4*c(f). Find z such that l(z) = 0.
-2, 1
Let x(w) be the third derivative of w**2 + 1/24*w**4 + 0*w**5 - 1/120*w**6 + 0*w + 0 + 0*w**3. Let x(q) = 0. What is q?
-1, 0, 1
Let k = 32/75 - -6/25. Find x such that 0 + 0*x**2 + 0*x - k*x**4 - 4/3*x**3 = 0.
-2, 0
Factor 2/7*x**3 - 2/7*x + 0 + 0*x**2.
2*x*(x - 1)*(x + 1)/7
Let m(z) be the second derivative of 4*z + 1/24*z**4 + 1/6*z**3 +