 + m*n**3 + 3*n = 0. Calculate n.
-1, 0, 1
Let u(c) = c**2 + 10*c + 11. Let n be (-158)/18 + (-2)/9. Let q be u(n). Factor o**5 - 3*o - 3*o**4 - o**2 + 2*o**3 + 4*o**q - o**2 + 1.
(o - 1)**4*(o + 1)
Let u(z) = -z**2 + 6*z - 5. Let k(f) = 2*f**2 - 7*f + 5. Let x(m) = 4*k(m) + 3*u(m). Factor x(q).
5*(q - 1)**2
Let u(r) = r + 3*r - 4*r - 2*r**2 + 4*r + 3. Let j(g) = -3*g**2 + 5*g + 4. Let h(s) = s**2 + 5*s + 3. Let l be h(-2). Let k(f) = l*j(f) + 4*u(f). Factor k(y).
y*(y + 1)
Suppose 0 = -2*h + 5*t - 6, 0 = -5*h + 4*t + 2 - 17. Let z be 5 + -4 - (-1)/h. Factor -4/3*r - 2/3 - z*r**2.
-2*(r + 1)**2/3
Let h(f) be the first derivative of -f**7/280 + f**5/40 - 2*f**3/3 + 4. Let x(m) be the third derivative of h(m). Factor x(c).
-3*c*(c - 1)*(c + 1)
Suppose i - 3*t = 2*t + 2, 3*i = 4*t - 16. Let j be 5/(-2)*i/10. What is p in -3*p**3 - p**3 + j*p**3 + 2*p**5 = 0?
-1, 0, 1
Solve 5*c**3 - 4 + 4 - 6*c + c = 0.
-1, 0, 1
Let r(j) be the second derivative of -j**6/10 - 3*j**5/5 - 3*j**4/4 + 2*j**3 + 6*j**2 + 2*j. Factor r(c).
-3*(c - 1)*(c + 1)*(c + 2)**2
Let m = -2/59 - -69/295. Let a(d) be the third derivative of d**4 + 1/60*d**6 + 8/3*d**3 + 0*d + d**2 + m*d**5 + 0. Solve a(j) = 0 for j.
-2
Let h(d) = -8*d**3 + 6*d**2 + 12*d - 10. Let f(q) = -15*q**3 + 11*q**2 + 23*q - 19. Let a(p) = -6*f(p) + 11*h(p). Factor a(s).
2*(s - 1)**2*(s + 2)
Solve 4/7 + 2/7*w - 2/7*w**2 = 0.
-1, 2
Let s(p) be the first derivative of 2/9*p**2 - 2/3*p + 2/27*p**3 + 6. Find q, given that s(q) = 0.
-3, 1
Let f = 49 + -47. Let 2/5*w - 2/5 - 2/5*w**3 + 2/5*w**f = 0. Calculate w.
-1, 1
Let w(k) be the second derivative of -k**5/140 + k**4/28 - k**3/21 - 7*k. Solve w(z) = 0 for z.
0, 1, 2
Let o(w) = w**2 + w - 1. Let t(s) = -3*s - 1. Let r be t(-1). Let c be o(r). Let n**2 - 1 + c*n**3 + 4*n - 5*n - 4*n**3 = 0. What is n?
-1, 1
Let w(f) = -4*f + 1. Let b be w(-1). Suppose -2*q - 18 = -5*q - 4*c, -b*c = -2*q - 11. Let q*m**3 - 5*m + 3*m + 2*m**2 - 3 + 1 = 0. Calculate m.
-1, 1
Let q(a) be the third derivative of -a**8/84 + 4*a**7/105 - 2*a**5/15 + a**4/6 + 14*a**2. Find p, given that q(p) = 0.
-1, 0, 1
Let k(m) = -m**3 + m**2 + 1. Let i(l) = -4*l**2 - 2. Let y be (2*1)/(-7 + 5). Let z(q) = y*i(q) - 2*k(q). Factor z(b).
2*b**2*(b + 1)
Let t(i) = 25*i**2 + 10*i - 15. Let n(m) = -37*m**2 - 15*m + 22. Let k(s) = 5*n(s) + 8*t(s). Factor k(g).
5*(g + 1)*(3*g - 2)
Let d(i) be the first derivative of i**7/630 - i**5/60 + i**4/36 + 3*i**2/2 + 4. Let u(r) be the second derivative of d(r). Factor u(v).
v*(v - 1)**2*(v + 2)/3
Let w(g) be the third derivative of g**5/180 - g**4/36 - g**3/6 - 16*g**2. Find o such that w(o) = 0.
-1, 3
Let l(c) be the second derivative of 0 - 3/20*c**5 - 1/10*c**6 - 1/12*c**4 + 0*c**3 + 0*c**2 - 1/42*c**7 - 2*c. Factor l(f).
-f**2*(f + 1)**3
Let i(t) be the second derivative of -t**7/315 - t**6/45 - 2*t**5/45 - 7*t**2/2 - 10*t. Let r(o) be the first derivative of i(o). Factor r(n).
-2*n**2*(n + 2)**2/3
Let u(m) be the second derivative of -m**7/126 + m**6/30 + m**5/60 - 7*m**4/36 + 2*m**2/3 - 12*m. Let u(j) = 0. Calculate j.
-1, 1, 2
Suppose -3*z + 4 = -z. Factor -f + 0*f + 1 + f**z + f**3 - 2*f**2.
(f - 1)**2*(f + 1)
Let p(q) be the second derivative of q**5/240 + q**4/16 + 3*q**3/8 - 2*q**2 + 2*q. Let w(t) be the first derivative of p(t). Factor w(l).
(l + 3)**2/4
Let x be ((-2)/16)/(2/(-4)). Let p = 63/220 - 2/55. Factor -p*h - x*h**2 + 0.
-h*(h + 1)/4
Factor 12*t**4 + 2 + 2*t**4 + 18*t**3 - 18*t - 10*t**2 + 0 - 6.
2*(t - 1)*(t + 1)**2*(7*t + 2)
Suppose 2*j = 4*j - 6. Factor 0*g**4 - g**4 - 2*g**4 - 3*g**5 - 3*g**j + 2*g**5 - g**2.
-g**2*(g + 1)**3
Let u(t) = t**3 + 7*t**2 - t - 5. Let h be u(-7). Let s(d) = 2*d - 2. Let j be s(h). Factor -4*l + l**2 + 2*l**3 + 2*l + l**j - 2.
2*(l - 1)*(l + 1)**2
Let b = -28 + 34. Let z(x) be the second derivative of 1/27*x**3 + 0 - 1/90*x**5 - 1/54*x**4 + 1/135*x**b + 2*x + 0*x**2. Factor z(v).
2*v*(v - 1)**2*(v + 1)/9
Let z(o) = 2*o**3 - 5*o**2 + o + 5. Let p(v) = 4*v**3 - 11*v**2 + 3*v + 11. Suppose 2*t + 3 = 9. Let y(g) = t*p(g) - 7*z(g). Let y(s) = 0. Calculate s.
-1, 1
Let r(i) be the third derivative of 0 + 1/100*i**6 + 0*i**3 + 0*i**4 - 3*i**2 + 0*i + 1/350*i**7 + 1/100*i**5. Factor r(k).
3*k**2*(k + 1)**2/5
Let z(d) = d**3 + d**2 - 15*d - 8. Let a be z(-4). Factor 2/3*u**a + 2*u**2 - 2*u**3 - 2/3*u + 0.
2*u*(u - 1)**3/3
Factor -24 + 28*q - 2*q**3 - 2*q + 5*q**3 + 16*q - 21*q**2.
3*(q - 4)*(q - 2)*(q - 1)
Let w = 21 + -18. Let d(o) be the second derivative of 53/20*o**5 - 6/5*o**6 - 19/12*o**4 + 0 + 1/3*o**w + 0*o**2 + o. Factor d(h).
-h*(h - 1)*(4*h - 1)*(9*h - 2)
Let z(l) = -l**3 - 3*l**2 - l + 1. Let y be z(-3). Let h(c) be the first derivative of 0*c + 1/16*c**y + 1/8*c**2 - 1 - 1/6*c**3. Factor h(p).
p*(p - 1)**2/4
Suppose 2*c - 26 = 4*a, 0*c + 3*a + 27 = 4*c. Suppose 2*b**4 + 25*b**5 + b**3 - 22*b**4 + c*b**3 = 0. Calculate b.
0, 2/5
Let w(a) be the third derivative of -1/120*a**6 + 2*a**2 - 1/12*a**3 + 0 + 0*a + 1/24*a**4 + 0*a**5 + 1/420*a**7. Find q, given that w(q) = 0.
-1, 1
Let j(h) be the third derivative of -h**6/30 + h**4/6 + 6*h**2. Factor j(y).
-4*y*(y - 1)*(y + 1)
Let d(f) be the second derivative of -f**5/6 + f**4/9 - 5*f. Factor d(r).
-2*r**2*(5*r - 2)/3
Let z(w) be the third derivative of -2*w**7/105 - w**6/10 - 2*w**5/15 + 8*w**2. Suppose z(y) = 0. What is y?
-2, -1, 0
Factor -1/5*b**3 + 3/5 + 1/5*b**2 + b.
-(b - 3)*(b + 1)**2/5
Let y(d) be the third derivative of 3*d**5/5 - 11*d**4/6 + 4*d**3/3 - 4*d**2. Factor y(u).
4*(u - 1)*(9*u - 2)
What is t in -5/6*t**2 - 4/3*t - 2/3 - 1/6*t**3 = 0?
-2, -1
Let b(g) be the second derivative of g**7/280 - 3*g**5/40 - g**4/4 - g**3/6 - 5*g. Let h(t) be the second derivative of b(t). Find w, given that h(w) = 0.
-1, 2
Suppose -2*l = -11 + 7. Let q be (l/(-30))/(2/(-12)). Solve q*h**2 - 4/5*h + 0 = 0.
0, 2
Let q(p) be the second derivative of 4/13*p**3 + 8*p - 8/13*p**2 + 1/130*p**5 - 1/13*p**4 + 0. Factor q(n).
2*(n - 2)**3/13
Let j(m) be the third derivative of 1/6*m**3 + 2*m**2 + 0*m + 1/60*m**6 - 1/12*m**4 + 0 - 1/210*m**7 + 0*m**5. Factor j(p).
-(p - 1)**3*(p + 1)
Let s = -27/4 - -7. Suppose -s*v**2 - 1/4 - 1/2*v = 0. What is v?
-1
Let j(y) = -5*y + 6. Let i(f) = -f + 1. Let g(b) = -6*i(b) + j(b). Let r(p) = p**2 + 8*p - 1. Let x(c) = 24*g(c) - 3*r(c). Factor x(w).
-3*(w - 1)*(w + 1)
Let b(m) = m**2 - 10*m + 5. Let k be b(10). Suppose 5*l - k*r = 15 - 5, -2*r = 2*l. Suppose 2*z**2 + 5 - l - 4 + 2*z = 0. What is z?
-1, 0
Let -14/11*k**2 - 16/11*k + 32/11 - 2/11*k**3 = 0. What is k?
-4, 1
Suppose 24 = -3*r - r. Let b be ((-2)/r)/(1/12). Find d, given that -d**4 - 3*d**b + 0*d**4 + 14*d**5 = 0.
0, 2/7
Let p = -17 - -17. Let d(h) be the second derivative of p + 1/24*h**7 + 7/24*h**4 + 3*h - 1/8*h**3 - 1/10*h**6 - 1/4*h**2 - 1/20*h**5. Factor d(t).
(t - 1)**3*(t + 1)*(7*t + 2)/4
Let g(v) be the first derivative of -5*v**4/4 + 5*v**3 - 15*v**2/2 + 5*v - 9. Suppose g(z) = 0. What is z?
1
Suppose -b + 5*w + 9 = b, 4*b + 4*w = 4. Factor -3/5*j**3 + 3/5*j + 0 + 0*j**b.
-3*j*(j - 1)*(j + 1)/5
Let m(b) be the second derivative of 49*b**6/30 - 14*b**5/5 - 11*b**4/4 + 28*b**3/3 - 8*b**2 - 9*b - 1. Solve m(g) = 0.
-1, 4/7, 1
Factor -18*q**3 + 11*q**2 + 2 - 2 - 3*q**4 - 38*q**2.
-3*q**2*(q + 3)**2
Let i(p) be the first derivative of 6*p**2 + 3/5*p**5 + 3*p**3 - 3*p**4 - 12*p - 4. Factor i(g).
3*(g - 2)**2*(g - 1)*(g + 1)
Let a(c) = -c**2 - 8*c - 5. Let o be a(-7). Factor -v**o + 2*v**2 - 3*v**2 + v + v.
-2*v*(v - 1)
Let t = 151/132 + -21/44. Determine n, given that -2/3*n**3 + 2 + 10/3*n + t*n**2 = 0.
-1, 3
Let y(o) be the second derivative of 0*o**2 - 6*o + 0 + 1/12*o**3 + 1/60*o**6 + 1/8*o**4 + 3/40*o**5. Factor y(t).
t*(t + 1)**3/2
Suppose y = 3*l + 1 + 2, 4*y + l - 51 = 0. Let g be y/9*(-15)/(-16). Find w such that -2*w**4 + 1/4 - 1/4*w**3 + 7/4*w**2 + g*w - w**5 = 0.
-1, -1/2, 1
Suppose -2*c + 7 + 1 = 0. Factor 4/11*a**3 + 0 + 2/11*a**2 + 0*a + 2/11*a**c.
2*a**2*(a + 1)**2/11
Let w be (-2)/(-10) + (-217)/(-140). Let c = 9/4 - w. Solve -c*l**2 + 0 + 3/2*l**3 - 3/2*l**4 + 1/2*l**5 + 0*l = 0.
0, 1
Let q = 17 + -3. Let h be q/(-15)*(-48)/56. Let 0 - h*x - 6/5*x**3 - 14/5*x**2 = 0. Calculate x.
-2, -1/3, 0
Factor 9 + 14*p**2 - 30 + 17 + 10*p.
2*(p + 1)*(7*p - 2)
Let v(k) 