*4 + 4 - 64*r + 56*r + 3*r**4 + 8*r**3.
-4*(r - 1)**3*(r + 1)
Let y(v) be the second derivative of -v**6/60 + 3*v**4/8 - v**3/3 - 3*v**2 - 58*v. Factor y(q).
-(q - 2)**2*(q + 1)*(q + 3)/2
Let y(n) = -n**3 + 5*n**2 + 2*n - 8. Let a be y(5). Factor 2/5*g**a + 18/5 + 12/5*g.
2*(g + 3)**2/5
Determine f so that -25/3 - 10/3*f - 1/3*f**2 = 0.
-5
Factor 0*l**3 + 4/5*l**2 - 2/5 + 0*l - 2/5*l**4.
-2*(l - 1)**2*(l + 1)**2/5
Let t = -13 - -7. Let l(v) = v**2 + 2*v + 10. Suppose -5 = -3*k - 5*y, y + 41 = 5*k + 14. Let g(w) = w**2 + w + 9. Let q(n) = k*l(n) + t*g(n). Factor q(s).
-(s - 2)**2
Let r(q) = -3*q**2 + 8*q + 11. Suppose 0 = -4*i + 18 + 14. Let h(a) = -5*a**2 + 12*a + 17. Let b(v) = i*r(v) - 5*h(v). Factor b(d).
(d + 1)*(d + 3)
Let i(w) = w**2 - 8*w. Let m(v) = -v**2 + 9*v. Let x(z) = -6*i(z) - 5*m(z). Solve x(g) = 0 for g.
0, 3
Let r(i) be the first derivative of -3*i**4/4 - 3*i**3 - 9*i**2/2 - 3*i + 10. What is f in r(f) = 0?
-1
Let o(g) be the second derivative of g**7/70 - g**6/10 - g**5/10 + 3*g**4/2 + 9*g**3/2 - 4*g**2 - 6*g. Let r(z) be the first derivative of o(z). Factor r(f).
3*(f - 3)**2*(f + 1)**2
Factor 2*b - b**3 + 3/2*b**2 - 1/2*b**4 - 2.
-(b - 1)**2*(b + 2)**2/2
Let a = -38 - -41. Let b(l) be the third derivative of 0 - 1/210*l**5 + 0*l**a + 0*l + l**2 + 0*l**4 + 1/420*l**6. Let b(j) = 0. Calculate j.
0, 1
Suppose p + 15 = 5*i - 7, -2*p + 26 = 4*i. Suppose p*w - 12 = 6. Factor w*c + 3*c**2 + 0*c - 6*c**2.
-3*c*(c - 2)
Let s(r) be the first derivative of r**4/16 + r**3/6 - r**2/2 - 2*r - 12. Factor s(v).
(v - 2)*(v + 2)**2/4
Suppose 22 = 4*o + o - 4*i, -2*o - 5*i - 11 = 0. Suppose -2*k**o - k**2 + k**2 + 3*k**2 + k = 0. What is k?
-1, 0
Let a(h) = h**3 - 3*h**2 - 9*h - 5. Let j be a(5). Determine s so that 3/2*s**2 + 3/4*s**3 - 3/4*s - 3/2*s**4 + j = 0.
-1, 0, 1/2, 1
Let j(l) be the first derivative of -l**5/100 + l**4/40 + 7*l**2/2 - 4. Let n(v) be the second derivative of j(v). Factor n(f).
-3*f*(f - 1)/5
Let o(l) be the first derivative of -7*l**5/80 - 5*l**4/32 + l**3/4 - 3*l**2/2 - 2. Let r(j) be the second derivative of o(j). Suppose r(x) = 0. What is x?
-1, 2/7
Let i be (-2 - -5 - 9) + 0. Let w = i - -10. Find z, given that -2*z**3 + 2*z**3 + 2*z**3 + z**w + z**4 = 0.
-1, 0
Let q(l) be the third derivative of -l**9/75600 - l**8/33600 + l**7/12600 + l**6/3600 + l**4/6 + l**2. Let a(d) be the second derivative of q(d). Factor a(z).
-z*(z - 1)*(z + 1)**2/5
Let b be (30 - 24)/((-4)/(-2)) + 1. Solve d - 3/4*d**b - 5/2*d**3 - 7/4*d**2 + 1 = 0 for d.
-2, -1, 2/3
Let m(u) be the second derivative of 1/10*u**5 - 1/3*u**4 - 1/3*u**3 + 2*u**2 + 0 + 3*u. Suppose m(p) = 0. What is p?
-1, 1, 2
Suppose 4*b - 463 = -3*z + 157, -3*z = -4*b + 596. Let w = -1062/7 + b. Factor 10/7*c**2 + 16/7*c + 8/7 + w*c**3.
2*(c + 1)*(c + 2)**2/7
Suppose 0 = -2*f - 3*t + 16, -2*f + 12*t - 16 = 7*t. Factor -3 + 3/2*l**4 + 3/2*l**f - 9/2*l**3 + 9/2*l.
3*(l - 2)*(l - 1)**2*(l + 1)/2
Let p(d) = -d**3 + d**2 - d + 1. Let j be p(1). Let r(u) = u**3 + 5*u**2 + 3*u + 1. Let n be r(-4). Factor 0*y + j - 6/7*y**3 - 6/7*y**4 - 2/7*y**2 - 2/7*y**n.
-2*y**2*(y + 1)**3/7
What is r in -35*r - 10 - 20*r**2 - 7 - 5 + 7 = 0?
-1, -3/4
Let a(q) be the third derivative of -q**7/945 + q**6/270 - q**5/270 + 5*q**2. Let a(d) = 0. What is d?
0, 1
Let q(v) be the first derivative of -1 + 8/15*v**5 + 8/9*v**3 + 0*v + 1/3*v**2 + 1/9*v**6 + v**4. Factor q(m).
2*m*(m + 1)**4/3
Let u(x) be the third derivative of -x**8/112 + 3*x**6/40 - x**5/10 - 18*x**2. Factor u(t).
-3*t**2*(t - 1)**2*(t + 2)
Let p(v) be the first derivative of -3*v**5/5 - 3*v**4/4 + v**3 + 3*v**2/2 - 6. Determine n, given that p(n) = 0.
-1, 0, 1
Let k be 4/18 + 33/(-27). Let z be (-2)/4 + k/(-2). Solve 6/7*f**2 + z + 4/7*f = 0.
-2/3, 0
What is c in -2/9*c**3 - 16/9 + 8/9*c + 4/9*c**2 = 0?
-2, 2
Suppose 4*c + 1 = 13. Let t be -1*1*(2 + -6). Factor -f**5 + f**4 - 4*f**2 + 3*f - 6*f**c - 4*f - 5*f**t.
-f*(f + 1)**4
Let y(i) be the first derivative of 0*i**5 + 0*i - 1/72*i**4 - 1/3*i**3 + 1/1080*i**6 - 2 + 0*i**2. Let h(d) be the third derivative of y(d). Factor h(j).
(j - 1)*(j + 1)/3
Let q(g) = -g**2 - 11*g - 6. Let k be q(-9). Let r be -1*(-5)/(15/k). Factor 4*t**2 - 4*t**5 + 2*t + 2*t**5 + 2*t**4 - 6*t**r.
-2*t*(t - 1)*(t + 1)**3
What is x in 0 - 3/2*x + 9/2*x**2 + 3/2*x**4 - 9/2*x**3 = 0?
0, 1
Let d(k) be the first derivative of -k**6/24 + k**5/5 - k**4/4 - k**3/6 + 5*k**2/8 - k/2 - 36. Factor d(b).
-(b - 2)*(b - 1)**3*(b + 1)/4
Let t(k) be the third derivative of k**5/330 - k**4/33 + 4*k**3/33 + 10*k**2. Factor t(b).
2*(b - 2)**2/11
Suppose g = -0*g + 24. Suppose 0*r + 4*r - g = 0. Solve -3*x**4 - 12*x**3 + r*x + 6*x**5 + 4*x**2 + x**4 - 2 + 0 = 0.
-1, 1/3, 1
Let l be (-27)/3 - -3*1. Let a(p) = -p + 1. Let v be a(l). Factor -12*i + 4 - 2*i**3 + 1 + 3*i**2 + v*i**3 - 1.
(i - 1)*(i + 2)*(5*i - 2)
Let m(g) be the first derivative of g**6/80 - g**5/40 - g**4/16 + g**3/4 + g**2/2 - 3. Let a(i) be the second derivative of m(i). Factor a(s).
3*(s - 1)**2*(s + 1)/2
Suppose 0 = 5*g - s - 24 + 5, 2*g + 3*s = -6. Factor 2*m**4 - m**2 - g*m**4 - 3*m**3 + 2 + 0*m + 3*m.
-(m - 1)*(m + 1)**2*(m + 2)
Let c(m) be the first derivative of -m**4 - 4*m**3 - 19. Factor c(r).
-4*r**2*(r + 3)
Let p be 1/(-1 + 2)*1. Let m(n) be the first derivative of 4/5*n - p + 1/10*n**4 + n**2 + 8/15*n**3. Factor m(z).
2*(z + 1)**2*(z + 2)/5
Suppose 0 = 3*i - i - 6, -3*m + 5*i - 6 = 0. Find b, given that -3*b**m - 2*b**2 + b**2 + b**2 + 3*b = 0.
-1, 0, 1
Let y(t) be the third derivative of t**7/105 + t**6/15 + t**5/6 + t**4/6 - 3*t**2. What is o in y(o) = 0?
-2, -1, 0
Let n(c) be the first derivative of 3*c**4/4 - 6*c**3 + 18*c**2 - 24*c - 9. Solve n(u) = 0.
2
Let r be (-3)/12 - 18/(-8). Let o(b) = b**2 + 2*b - 1. Let x(z) = -3*z**2 - 7*z + 3. Let d(n) = r*x(n) + 7*o(n). Factor d(l).
(l - 1)*(l + 1)
Solve 1/5*r**3 + 0 + 0*r**2 + 0*r - 1/5*r**4 = 0.
0, 1
Let d(s) be the second derivative of s**5/15 - s**4/6 + 7*s**2/2 - 6*s. Let w(k) be the first derivative of d(k). Factor w(q).
4*q*(q - 1)
Let v(d) be the third derivative of 3*d**7/175 - d**6/10 + 14*d**5/75 - 2*d**4/15 - 5*d**2. Factor v(g).
2*g*(g - 2)*(3*g - 2)**2/5
Let i(y) = -y**2 + 11*y - 10. Let d be i(10). Suppose -3*f - 12 = -2*n - 0, d = 3*f + 12. Determine o so that n*o - 1/4*o**2 + 0 = 0.
0
Let i(w) be the third derivative of -w**11/554400 + w**9/100800 - w**5/20 + w**2. Let b(z) be the third derivative of i(z). Suppose b(l) = 0. Calculate l.
-1, 0, 1
Let p = -3 - -2. Let a be 9/2 + p/2. Find y such that y**5 - 5*y**4 + 3*y**a + y**2 + y**4 - y**3 = 0.
-1, 0, 1
Let q = 54 + -48. Let g(u) be the first derivative of -1 - 8/5*u**5 - 1/3*u**q - 8/3*u**3 - u**2 - 3*u**4 + 0*u. Factor g(s).
-2*s*(s + 1)**4
Let a = 222 - 217. Factor 1/2*m**2 - 2*m**3 + 7/4*m**4 - 1/2*m**a + 1/2*m - 1/4.
-(m - 1)**4*(2*m + 1)/4
Factor 0 + 2/7*b**4 + 2/7*b**2 + 4/7*b**3 + 0*b.
2*b**2*(b + 1)**2/7
Factor -16/9*t**3 - 64/9*t + 2/9*t**4 + 32/9 + 16/3*t**2.
2*(t - 2)**4/9
Let d = -1/455 - -2278/1365. Solve 3*o**4 - 3*o**2 - d*o**3 + 7/3*o**5 - 2/3*o + 0 = 0 for o.
-1, -2/7, 0, 1
What is i in 15/4*i**3 + 3/4*i**5 - 3/2*i**2 - 3*i**4 + 0 + 0*i = 0?
0, 1, 2
Find b, given that -7/4*b**2 - 25*b - 7 = 0.
-14, -2/7
Let n(f) = -f**3 - f**2 + 2. Let q(k) = 3*k**3 - 15*k**2 - 18*k - 2. Let l(x) = n(x) + q(x). Factor l(b).
2*b*(b - 9)*(b + 1)
Factor -w**2 + 1/2*w**4 + 0*w + 0*w**3 + 1/2.
(w - 1)**2*(w + 1)**2/2
Let r(i) = 6*i - 16. Let n(h) = 7*h - 16. Let f(z) = 5*n(z) - 6*r(z). Let d be f(13). Solve -2/3*t - 2/3*t**2 + 2/3 + 2/3*t**d = 0 for t.
-1, 1
Let d = 110198819/246 - 447962. Let h = d + -1/82. Factor -2/3*n**3 - h*n + 0 + 4/3*n**2.
-2*n*(n - 1)**2/3
Let z(m) be the first derivative of -9*m**6/8 + 9*m**5/20 + 3*m**4/16 - m**3/12 - 2. Factor z(s).
-s**2*(3*s - 1)**2*(3*s + 1)/4
Suppose 4*z = 3*z + 4. Suppose -6 = -2*f + z. Factor -v**f - 4*v**2 + 2*v**4 + 3*v**5 - 2*v + 2*v**4.
2*v*(v - 1)*(v + 1)**3
Suppose 2*a = 3*a + s - 1, -6 = 3*s. Suppose 0 = -d - a*w + 14, 16 = 2*w + 2*w. Find v such that 1/4*v - 1/2*v**4 + 0*v**3 + 1/2*v**d - 1/4*v**5 + 0 = 0.
-1, 0, 1
Let t = -315 - -318. Determine i so that -1/6*i - 1/6*i**2 + 1/6*i**4 + 0 + 1/6*i**t = 0.
-1, 0, 1
Let l(j) be the second derivative of 5*j - 7/6*j**4 + 0 - 1/3*j**