 + 0 + 1/6*z**3 + h*z**6 - 1/60*z**5 - 1/24*z**4. Solve f(y) = 0.
-1, 1
Let z be (2/(-3))/((-2)/4). Let u(c) be the first derivative of z*c**4 - 2/9*c**3 + 0*c**2 + 0*c - 1 - 32/15*c**5. Determine f so that u(f) = 0.
0, 1/4
Let h(t) be the second derivative of -t**4/24 - t**3/2 - 9*t**2/4 + 4*t + 6. Factor h(x).
-(x + 3)**2/2
Let b = -19 - -21. Let w(d) be the third derivative of 0*d - 1/30*d**6 - 1/30*d**5 + 0 + 0*d**4 + 0*d**3 - 1/105*d**7 + 2*d**b. Factor w(p).
-2*p**2*(p + 1)**2
Let p(b) be the third derivative of 1/30*b**5 + 0*b + 1/6*b**4 + 3*b**2 + 0 + 0*b**3. Factor p(x).
2*x*(x + 2)
Let d(y) be the second derivative of -1/2*y**4 + 5*y + 3/10*y**5 + 0 - 7/3*y**3 + 2/15*y**6 - 3*y**2. Let d(k) = 0. What is k?
-1, 3/2
Factor 9/2*b**2 - 3/2*b - 3.
3*(b - 1)*(3*b + 2)/2
Let n be 0/((-2)/(-2))*-1. Suppose -a - 2*a = n. Find q such that 4/5*q**4 + 0*q - 4/5*q**2 + a + 14/5*q**5 - 14/5*q**3 = 0.
-1, -2/7, 0, 1
Let s(m) be the first derivative of 1/2*m**2 + 0*m - 2 - 1/3*m**3. Factor s(a).
-a*(a - 1)
Solve -61*f**3 + 18*f**3 - 7*f**3 + 125*f**4 + 5*f**2 = 0 for f.
0, 1/5
Let p(x) = -3*x**2 - 6*x - 18. Let f(b) = -b + 1. Let t(q) = 6*f(q) + p(q). Let t(i) = 0. Calculate i.
-2
Let u(a) be the first derivative of -11*a**4/4 - 20*a**3/3 - 7*a**2/2 + 2*a - 17. Factor u(v).
-(v + 1)**2*(11*v - 2)
Let b = 9/11 + -1/55. Factor b*i**4 + 0*i**2 + 2/5*i**3 + 0 + 2/5*i**5 + 0*i.
2*i**3*(i + 1)**2/5
Suppose 2*k = n - 16, 2*n = 4*k - k + 32. Suppose 3*m = -m + n. Factor -8*x**m - 29*x**2 - 25*x**3 - 10*x - x**5 - 5*x - 9*x**2 - 8 - 13*x.
-(x + 1)**2*(x + 2)**3
Let b(l) be the second derivative of -3*l + 0 + 1/18*l**4 - 1/3*l**3 + 0*l**2. Suppose b(q) = 0. Calculate q.
0, 3
Let w(m) = -11*m + 5. Let p be w(-5). Suppose u - p = -3*u. Suppose -4*v**3 - 2*v**3 - v**2 - u*v**2 - 8*v = 0. What is v?
-2, -2/3, 0
Let s(o) be the third derivative of 0 + 1/840*o**7 + 0*o**3 + 0*o**4 + 0*o**5 + 1/480*o**6 + 0*o - 2*o**2. Solve s(f) = 0 for f.
-1, 0
Let f(l) = -l + 2. Let p be f(0). Let s be (24/294)/((-2)/(-7)). Factor 0 + 2/7*a**p - s*a.
2*a*(a - 1)/7
Suppose 4*g = y + 8, -y = -4*g - 2*y + 8. Determine i so that -2*i**2 + g*i**2 + 2*i - i**3 - i**2 = 0.
-2, 0, 1
Determine u so that -74/7*u**2 - 18/7*u**4 - 40/7*u - 60/7*u**3 - 8/7 = 0.
-1, -2/3
Let n(a) be the first derivative of -2*a**5/45 + 8*a**3/9 + 16*a**2/9 - 11. Suppose n(s) = 0. Calculate s.
-2, 0, 4
Let h = 1/2 - 1/3. Suppose 0*r - 1/3*r**4 + 0 + 1/6*r**3 + h*r**5 + 0*r**2 = 0. Calculate r.
0, 1
Let k = 2354 + -6998/3. Let r = 22 - k. Factor -r*b - 4/3 + 2/3*b**2.
2*(b - 2)*(b + 1)/3
Let t(s) be the second derivative of 1/18*s**4 + s + 1/30*s**5 - 1/9*s**3 - 1/3*s**2 + 0. Find w, given that t(w) = 0.
-1, 1
Let y(j) be the first derivative of j**4/16 - j**3/4 - j**2/8 + 3*j/4 + 17. Find p, given that y(p) = 0.
-1, 1, 3
Let r = -5 - -11. Let m(c) be the third derivative of -1/60*c**5 + 1/24*c**4 + 0*c + 2*c**2 + 0 - 1/120*c**r + 1/6*c**3. Determine l so that m(l) = 0.
-1, 1
Let j be (-50)/35 + 1 + 48/14. Factor 4/3*z**2 + 0*z**j - 2/3 + 0*z - 2/3*z**4.
-2*(z - 1)**2*(z + 1)**2/3
Let z(d) be the second derivative of -d**6/135 - d**5/9 - 4*d**4/9 - 22*d**3/27 - 7*d**2/9 + 25*d. Factor z(l).
-2*(l + 1)**3*(l + 7)/9
Let c = 6 - 4. Suppose -5*p + 14 = 4. Factor k**2 + 0*k**p - 3*k**c + 2.
-2*(k - 1)*(k + 1)
Solve 0 + 1/3*r**2 + 2/3*r = 0.
-2, 0
Let -6*m**4 + 48*m**3 - 50*m + 15 - 9*m**4 + 2*m**3 = 0. What is m?
-1, 1/3, 1, 3
Let v(q) = -4*q**2 + 27*q - 33. Let l(k) = 4*k**2 - 28*k + 32. Let o = 15 + -11. Let n(d) = o*v(d) + 3*l(d). Find y such that n(y) = 0.
3
Let a(x) = x**3 - 3*x**2 + 2. Let j be a(3). Factor -q**4 + 2*q**3 - q**5 + 2*q - q - 1 - 2*q + 0*q**3 + 2*q**j.
-(q - 1)**2*(q + 1)**3
Let u = -35 - -23. Let c = -10 - u. Factor c*p + 3*p**4 - 2*p**3 - 4*p**4 + 0 + 1.
-(p - 1)*(p + 1)**3
Let f(d) = 24*d**2 - 2*d - 1. Let s be f(-1). Suppose 0*l = -5*l + s. Factor 4*y**l - y**5 - 4*y**3 + 2*y - y**5.
2*y*(y - 1)**2*(y + 1)**2
Let x(h) = -30 + 3*h**4 - 6*h**2 + 9 - 6*h**4 + 18*h**3 + 7*h + 5*h. Let v(c) = -c**3 + c**2 - c + 1. Let y(w) = -15*v(w) - x(w). Let y(t) = 0. What is t?
-1, 1, 2
Let h(o) be the first derivative of -32*o**3/3 + 12*o**2 - 9*o/2 - 13. Suppose h(b) = 0. Calculate b.
3/8
Suppose 5*y = 7 + 3. Solve 3*v**3 + 4*v**2 - 5*v**y - 2*v**3 = 0 for v.
0, 1
Let n = -1367/299 + 114/23. Let d = n - -29/26. What is j in j**2 + 1/2*j**3 - d*j**5 + 0*j - 2*j**4 + 0 = 0?
-1, 0, 2/3
Let f(l) be the first derivative of l**3 + 15*l**2/2 - 18. Factor f(z).
3*z*(z + 5)
Suppose 5*p**2 + 50*p**3 - 4*p - 40*p**3 + p**2 = 0. Calculate p.
-1, 0, 2/5
Suppose -4/5*j**2 - 6/5*j - 2/5 = 0. What is j?
-1, -1/2
Let z(a) be the first derivative of a**4/16 + a**3/6 + 30. What is m in z(m) = 0?
-2, 0
Let x(h) = -h**2 - 13*h - 24. Let f be x(-9). Factor -f*p + 8/5 + 30*p**2 - 25*p**3.
-(5*p - 2)**3/5
Let l(j) = -j**5 - 4*j**4 - j**3 + 36*j**2 - 52*j + 22. Let h(c) = -3*c**5 - 8*c**4 - c**3 + 73*c**2 - 104*c + 43. Let a(t) = 2*h(t) - 5*l(t). Factor a(g).
-(g - 2)**3*(g - 1)*(g + 3)
Let s(g) = 4*g + 4. Let n be s(3). Factor 17 + 5*w**2 - n*w - w**2 - 1.
4*(w - 2)**2
Let k be 2/4*8/(-2). Let s = 4 + k. Let 5 + 2*y**s - 5 = 0. What is y?
0
Let n(o) be the second derivative of 2*o**7/11 + 11*o**6/15 - 3*o**5/110 - 61*o**4/33 + 20*o**3/11 - 8*o**2/11 + 3*o. Determine x, given that n(x) = 0.
-2, 2/7, 1/3, 1/2
Suppose -4*h - 2 = -22. Let s(x) = -4*x**2 - 5*x - 1. Let p(i) = -2*i**2 - 2*i. Let l(n) = h*p(n) - 2*s(n). Factor l(o).
-2*(o - 1)*(o + 1)
Let f be (1 + -3)*1 - 13. Let h be (20/f)/(4/(-6)). Factor h + 6*g + 2*g**2 + g - 3*g.
2*(g + 1)**2
Let m be (-8 - (-2 - -2))/(-2). Suppose -4*a**3 + 7*a**3 + 4*a**3 + 2*a**2 - 8*a**m - a**3 = 0. Calculate a.
-1/4, 0, 1
Let h(l) = -2*l**2 - 2*l - 2. Let d(x) be the second derivative of -x**4/2 - x**3 - 5*x**2/2 + 8*x. Let g(k) = 6*d(k) - 17*h(k). Solve g(o) = 0.
-2, 1
Let x(f) be the second derivative of f**6/40 + 9*f**5/80 + 3*f**4/16 + f**3/8 - 2*f. Factor x(m).
3*m*(m + 1)**3/4
Let p(n) = -n**3 - 5*n**2 + n + 7. Let d be p(-5). Suppose -1 + 7 = d*b. Factor -4*x**4 - 6*x**3 - b*x**2 + 0*x**4 + x**4.
-3*x**2*(x + 1)**2
Let w(i) = -2*i**3 + i**2 - i + 1. Suppose 2*l - 1 = 1. Let m(o) be the first derivative of o**5/5 + o**2/2 - o + 2. Let p(y) = l*w(y) + m(y). Factor p(c).
c**2*(c - 1)**2
Let y(m) = -3*m**4 + m**2 - 2. Let c = 2 + 0. Let n(h) = -h**4 - h**3 + h - 1. Let q(s) = c*n(s) - y(s). Factor q(j).
j*(j - 2)*(j - 1)*(j + 1)
Let r be -2*4/16*-2. Let m = r + -1. Factor 0 + m*t + 2/11*t**3 + 2/11*t**4 + 0*t**2.
2*t**3*(t + 1)/11
Let m(w) = -w**5 + 8*w**4 + 3. Let l(f) = -8*f**4 - 4. Let r(g) = -3*l(g) - 4*m(g). Factor r(v).
4*v**4*(v - 2)
Let i(r) = 4*r - 20. Let c be i(5). Factor 1/2*s**2 + 0 + c*s**3 + 1/4*s**5 - 1/4*s - 1/2*s**4.
s*(s - 1)**3*(s + 1)/4
Let i(n) be the second derivative of 5*n - 1/6*n**4 - 1/3*n**3 + 0*n**2 + 1/10*n**5 + 0 + 1/15*n**6. What is s in i(s) = 0?
-1, 0, 1
Let a be (2/(-6))/(9/(-6)). Let u(z) be the first derivative of a*z**3 - 2/3*z + 3 + 0*z**2. Suppose u(q) = 0. Calculate q.
-1, 1
Let k(q) = -q**2 + 8*q + 6. Let g be k(8). Solve -32*f**2 + 2 + 14*f**3 + 0 - g - 11*f + 33*f = 0 for f.
2/7, 1
Factor 23*f**3 - 9*f**3 - 11*f**3.
3*f**3
Let j be ((-52)/12)/((-1)/3). Factor 4*h + j + 4 - 2*h**2 - 11.
-2*(h - 3)*(h + 1)
Let m(u) be the second derivative of -8*u**3 - 1/5*u**5 - 16*u**2 + 0 - 6*u - 2*u**4. Suppose m(n) = 0. Calculate n.
-2
Let t(a) = a**2 - 7*a + 8. Let b be t(6). Let f be -1 + (-6)/b + 4. Factor -4/3*g**4 + f + 2/3*g**2 - 2/3*g**3 + 0*g.
-2*g**2*(g + 1)*(2*g - 1)/3
Let q(a) be the first derivative of -28*a**5/5 - 2*a**4 + 28*a**3/3 + 4*a**2 + 15. Factor q(j).
-4*j*(j - 1)*(j + 1)*(7*j + 2)
Factor 1/2*h**3 + 5/2*h**4 + 2*h**5 + 0*h**2 + 0 + 0*h.
h**3*(h + 1)*(4*h + 1)/2
Suppose 9 = 11*m - 8*m. Let x(k) be the first derivative of 4/5*k + 8/15*k**3 - m - k**2 - 1/10*k**4. Factor x(o).
-2*(o - 2)*(o - 1)**2/5
Let q(t) be the second derivative of t**7/168 + t**6/60 - t**5/80 - t**4/24 - 22*t. Solve q(u) = 0 for u.
-2, -1, 0, 1
Let r(i) = -4*i**3 + 4*i**2 - 2*i - 4. Let h(x) be the first derivative of -7*x**4/4 + 7*x**3/3 - 3*x**2/2 - 7*x + 1. Let b(l) = -3*h(l) + 5*r(l). Factor b(q).
(q - 1)**2*(q + 1)
Let r = 7 - 2. Let l(q) be the third derivat