et q(v) be the first derivative of 15*v**4/4 - 3*v**3 + 8. Solve q(a) = 0.
0, 3/5
Let h(r) be the second derivative of -r**5/4 - 25*r**4/12 - 35*r**3/6 - 15*r**2/2 - 26*r. Determine f so that h(f) = 0.
-3, -1
Let k be (3/6)/(34/272). Factor 3/2*f**5 + 3/2 - 3*f**2 - 3*f**3 + 3/2*f + 3/2*f**k.
3*(f - 1)**2*(f + 1)**3/2
Let y(h) = -h**2 + 5*h + 16. Let g be y(12). Let b be 6/33 - g/110. Factor 2/5*u - b*u**2 + 0 + 2/5*u**3.
2*u*(u - 1)**2/5
Let d(k) be the second derivative of -k**7/1680 - k**6/144 - k**5/80 + k**4/12 - k. Let r(b) be the third derivative of d(b). Factor r(h).
-(h + 3)*(3*h + 1)/2
Let p(u) be the third derivative of -1/60*u**4 + 1/30*u**3 + 1/300*u**5 + 0 + 0*u + 3*u**2. Find y such that p(y) = 0.
1
Suppose 25 = 5*u, 4*u = -2*s + 3*u + 13. Let p be (-4)/(s/(0 + -2)). Factor -d - p*d**2 + 4*d - d.
-2*d*(d - 1)
Let y(f) be the first derivative of f**5/40 + 3*f**4/16 + f**3/24 - 3*f**2/2 + 2*f - 12. Suppose y(w) = 0. Calculate w.
-4, 1
Solve 7*y**3 - 4*y**3 + 8*y - 5*y**3 = 0.
-2, 0, 2
Let u be (-10)/(-50) + 28/10. Determine r so that 3 + 5 + r**2 - 1 - u + 4*r = 0.
-2
Let t(d) = -5*d**2 - 30*d. Let g(h) = -2*h**2 - h. Let p(q) = -5*g(q) + t(q). Factor p(j).
5*j*(j - 5)
Let k(w) be the first derivative of -5*w**4/2 - 5*w**3/3 + 20*w**2 + 20*w - 7. Solve k(z) = 0 for z.
-2, -1/2, 2
Suppose -5*c = 2*b - 30 + 2, -5*b = -2*c - 12. What is d in -6*d**2 + 3*d**b - d**4 + 4*d**2 = 0?
-1, 0, 1
Let l be 54/8*112/140. Let -27/5*q**2 - l*q - 6/5 = 0. Calculate q.
-2/3, -1/3
Factor -2/9*p**5 + 0 + 0*p + 0*p**2 - 2/3*p**3 + 8/9*p**4.
-2*p**3*(p - 3)*(p - 1)/9
Suppose 7*q = 173 - 159. Find u, given that 0 - 9/8*u**5 + 3/8*u**4 - 1/2*u**q + u**3 + 0*u = 0.
-1, 0, 2/3
Suppose -4*y = -8*y + 4. Find l such that -y + 3/2*l + l**2 = 0.
-2, 1/2
Let -4/5*v**2 + 32/5*v - 64/5 = 0. Calculate v.
4
Let c be 2/8*-3*-16. Let 11*j**2 + 0*j**4 + j**4 - c*j**2 = 0. Calculate j.
-1, 0, 1
Let o(v) be the second derivative of v**4/12 - v**2/2 - 20*v. Determine a, given that o(a) = 0.
-1, 1
Let j(z) be the third derivative of -z**9/15120 - z**8/10080 - z**4/12 - z**2. Let f(s) be the second derivative of j(s). Factor f(i).
-i**3*(3*i + 2)/3
Let h be (-1)/(-2)*(9 + -5). Let s = 2/17 + 9/68. Solve 0 - s*w + 1/4*w**h = 0 for w.
0, 1
Determine w, given that 2*w**5 + 6*w**3 - 3*w**3 - 10*w**4 + w**5 + 4*w**4 = 0.
0, 1
Let b(i) = 2*i**2 + 2*i - 14. Let x(t) = -1. Let j(s) = b(s) - 2*x(s). Factor j(v).
2*(v - 2)*(v + 3)
Let j = -1870 - -7285/4. Let u = 49 + j. Let u*a**2 + 0*a + 0 = 0. Calculate a.
0
Let o be 12/34*(-49)/3. Let h = o + 788/119. Determine n, given that 2/7 + 6/7*n + 2/7*n**3 + h*n**2 = 0.
-1
Let d(x) = -3*x**3 + 3*x**2 - 5*x + 1. Let k = -2 + 1. Let h(p) = -p**3 - p. Let l(u) = k*d(u) + 2*h(u). Factor l(o).
(o - 1)**3
Let a(h) be the first derivative of -2*h**5/45 + 14*h**3/27 + 2*h**2/3 - 15. Find q such that a(q) = 0.
-2, -1, 0, 3
Let w(f) be the third derivative of -f**8/126 - 2*f**7/105 + f**6/18 + 13*f**5/45 + f**4/2 + 4*f**3/9 - 12*f**2. Suppose w(z) = 0. What is z?
-1, -1/2, 2
Let r(q) be the third derivative of -q**6/60 - q**5/15 - 5*q**4/48 - q**3/12 - 19*q**2. Factor r(d).
-(d + 1)*(2*d + 1)**2/2
Suppose 11 + 9 = 5*g. Let -x**2 + 1/2*x**5 + 0 + 0*x - 3/2*x**3 + 0*x**g = 0. What is x?
-1, 0, 2
Let z(x) be the first derivative of 3/2*x**4 - 16/3*x**3 + 0*x - 1 + 4*x**2. Let z(m) = 0. What is m?
0, 2/3, 2
Let q(z) be the second derivative of 0*z**2 + 0 + 0*z**3 - 2/5*z**6 + 2/3*z**4 - 3*z - z**5. Let q(l) = 0. What is l?
-2, 0, 1/3
Let n be (-30)/(-6 - 0) - 1. Factor -u + 3*u**2 - 15/2*u**n - 25/4*u**5 + 0 + 11/4*u**3.
-u*(u + 1)**2*(5*u - 2)**2/4
Let 8/3*y + 28*y**3 - 6*y**4 - 50/3*y**2 + 0 = 0. What is y?
0, 1/3, 4
Suppose 0*u = -2*j + u + 12, -2*u - 20 = -3*j. Determine s so that -3*s**j + 0 + 5/4*s**5 - 1/2*s**2 + 0*s + 9/4*s**3 = 0.
0, 2/5, 1
Let j(v) = -v**2 + v + 2. Let k(u) = u**2 - 2*u - 3. Let c(g) = 5*j(g) + 4*k(g). Solve c(r) = 0.
-2, -1
Let i(p) = -22*p**3 + 40*p**2 - 50*p + 20. Let u(t) = 16*t**2 + 11 - 4*t - 9*t**3 - 3 - 16*t. Let c(s) = 5*i(s) - 12*u(s). Factor c(b).
-2*(b - 2)*(b - 1)**2
Factor 2/9*q**3 - 128/9 + 160/9*q - 34/9*q**2.
2*(q - 8)**2*(q - 1)/9
Let d = -9 + 9. Let o(r) be the first derivative of d*r + 1 + 1/8*r**2 - 1/12*r**3. Factor o(b).
-b*(b - 1)/4
Let k(v) = v**2 + 1 - 4*v - 1 - 2. Let c(u) = -2*u**2 + 4*u + 2. Let x = 2 - 6. Let b(m) = x*k(m) - 3*c(m). What is l in b(l) = 0?
-1
Let c(v) be the second derivative of 4*v**2 + 1/21*v**7 + 3*v + 0 + 7/10*v**5 - 8/3*v**3 + 1/6*v**4 - 1/3*v**6. What is n in c(n) = 0?
-1, 1, 2
Let k(h) be the second derivative of 27*h**5/40 - 3*h**4/4 - 5*h**3 - 6*h**2 - 7*h. Factor k(w).
3*(w - 2)*(3*w + 2)**2/2
Let f(v) = v - 4 + 5 - 3*v**2 + 5 + 1. Let y(z) = -z**2 + 3. Let a(s) = -2*s**2 - s + 1. Let w be a(1). Let o(h) = w*f(h) + 5*y(h). Factor o(p).
(p - 1)**2
Let c(z) be the second derivative of -z**6/345 + z**5/230 + z**4/138 - z**3/69 + 12*z. Factor c(m).
-2*m*(m - 1)**2*(m + 1)/23
Let p = -433/4 + 109. Let u = -14 + 16. Let -1/2 - 1/2*d**3 + p*d**u + 3/4*d = 0. What is d?
-1, 1/2, 2
Let v(c) = -c**3 - 2*c**2 - 2*c + 2. Let k be v(0). Let g(y) be the first derivative of 2*y**3 - 3/2*y**k + 3 - 3/4*y**4 + 0*y. Factor g(t).
-3*t*(t - 1)**2
Let f = 1 + 1. Factor x + 4*x - x - f*x**2.
-2*x*(x - 2)
Factor -41*i**4 - 6*i**3 + 7*i - 4*i**2 - 16 + 17*i + 43*i**4.
2*(i - 2)**2*(i - 1)*(i + 2)
Let g = -38/121 + 4062/605. Factor -g*w**3 + 8/5*w**2 + 0 + 42/5*w**4 + 0*w - 18/5*w**5.
-2*w**2*(w - 1)*(3*w - 2)**2/5
Let q(b) be the third derivative of b**6/240 + b**5/80 - b**4/48 + 11*b**2. Suppose q(o) = 0. Calculate o.
-2, 0, 1/2
Let q = 0 - -4. Factor -s + 7*s**q + 3*s**2 - 21*s**4 + 10*s**4.
-s*(s + 1)*(2*s - 1)**2
Let s(p) be the second derivative of 10*p**7/21 - 8*p**6/5 + 9*p**5/5 - 2*p**4/3 - 12*p. What is y in s(y) = 0?
0, 2/5, 1
Let v(a) = -a**5 + a**4 - a. Let k(r) = -2*r**5 + 2*r**4 - 4*r**3 + 4*r**2 - 6*r. Let s(y) = -k(y) + 6*v(y). Factor s(n).
-4*n**2*(n - 1)**2*(n + 1)
Let q(d) be the second derivative of d**6/135 - 2*d**5/15 + d**4 - 4*d**3 + 9*d**2 - 8*d. Let q(p) = 0. Calculate p.
3
Let o(i) = -9*i**4 + 17*i**3 + 9*i**2 - i + 8. Let x(a) = -3*a**4 + 6*a**3 + 3*a**2 + 3. Let f = 3 - 11. Let k(c) = f*x(c) + 3*o(c). Factor k(h).
-3*h*(h - 1)**2*(h + 1)
Let m(r) = 76*r**3 - r + 1. Let f be m(1). Let b be f/24 + 2/(-12). Factor 0 - 2/5*u**b - u**4 + u**2 + 2/5*u.
-u*(u - 1)*(u + 1)*(5*u + 2)/5
Let z(k) be the second derivative of -k**5/40 - k**4/32 + k**3/12 + 3*k**2/16 - 22*k. Factor z(o).
-(o - 1)*(o + 1)*(4*o + 3)/8
Let h(a) = a**3 - 3*a**2 - 2*a - 5. Let t be h(5). Suppose 5*g + 3*f = 212, -4*f + 18 = 2. Solve -10*o**2 - t*o**2 - 5*o**2 - g*o - 8 = 0 for o.
-2/5
Let o(z) = -z**2 - 2*z - 3. Let m(f) = -6*f**2 - 11*f - 16. Let a = 2 - 1. Let n be 1 + -3 + 1 - a. Let u(r) = n*m(r) + 11*o(r). Factor u(p).
(p - 1)*(p + 1)
Let a(b) be the third derivative of -b**7/42 - b**6/6 + 3*b**5/2 - 25*b**4/6 + 35*b**3/6 - 8*b**2. Factor a(z).
-5*(z - 1)**3*(z + 7)
Suppose -j = -2*i - 3*j, 2*i - 12 = 4*j. Suppose 4 + 20*b**3 + 6*b**4 + 3 + 24*b**2 - 3 - i + 12*b = 0. Calculate b.
-1, -1/3
Suppose -2 = l - 14. Let s be (l - 2)*4/70. Solve 2/7*i**2 + s - 6/7*i = 0.
1, 2
Let w = -19 - -22. Determine v so that 21*v**2 - w*v**3 - 10*v**2 - 24*v + 12 + 4*v**2 = 0.
1, 2
Suppose 8*o - 13*o + 4*h = -20, 4*o - 25 = 5*h. Suppose -1/3*w**3 + o*w**2 + 2/3 + w = 0. What is w?
-1, 2
Factor 39*n**2 + 2*n**3 + 3*n**4 - 18*n - 18*n + 3 + 9 - 20*n**3.
3*(n - 2)**2*(n - 1)**2
Let z(r) = 2*r**2 - 31*r - 18. Let a be z(16). Let w be (a/(-18))/(1/3). Find g such that -1/3*g**2 - w + 2/3*g = 0.
1
Suppose -5*p + 5 = -5. Suppose -b - 4*i = p*b - 18, 2*i = 4*b - 2. Factor -3*a**3 + a**4 + a**3 + b*a - a**2 + 0*a**3.
a*(a - 2)*(a - 1)*(a + 1)
Suppose 11 - 35 = -4*i. Find h, given that h**3 - h**3 - 4*h + i + 4*h**2 + 4*h**3 - 10 = 0.
-1, 1
Factor -y - 3*y**3 - 3*y**2 + 3*y + 4*y + 0*y.
-3*y*(y - 1)*(y + 2)
Let s(p) be the third derivative of -2*p**2 + 0 - 1/33*p**3 + 0*p - 1/132*p**4 + 1/330*p**5 + 1/660*p**6. What is k in s(k) = 0?
-1, 1
Let s = 1856 - 5504/3. Let y = s - 21. Factor 1/3*g + g**4 + 0 - g**2 - y*g**3.
g*(g - 1)*(g + 1)*(3*g - 1)/3
Let g be (-2)/((-2)/3) - 9. Let f(a) = 9*a**2 - 9*a - 6. Let h(p) = p**2