Calculate n.
0, 2/7
Let a be (-2 - -3)*(-2)/(-4)*2. Let m(c) be the first derivative of -2/15*c**3 + 4/5*c**2 - a - 8/5*c. Solve m(h) = 0 for h.
2
Let x(z) be the second derivative of 3*z**5/20 - z**3/2 - 7*z. Factor x(n).
3*n*(n - 1)*(n + 1)
Let j(l) be the first derivative of -l**3 - 6*l**2 + 15*l - 29. Let j(c) = 0. What is c?
-5, 1
Factor -2/5*i + 1/5*i**2 + 1/5.
(i - 1)**2/5
Let q = 4 - 2. Factor 7 + 2*c**q - 2*c - 7.
2*c*(c - 1)
Let -68/5*k**3 - 8/5 - 4*k**4 - 84/5*k**2 - 44/5*k = 0. Calculate k.
-1, -2/5
Suppose 16 = 2*x - 3*v, -x = 3*v + 15 - 5. Let -6*s + 9/2*s**x - 6 = 0. What is s?
-2/3, 2
Factor -2/5*j**3 - 2/5*j**2 + 1/5 + 1/5*j**5 + 1/5*j**4 + 1/5*j.
(j - 1)**2*(j + 1)**3/5
Let p be (6 + -5)/(4/40). Let t(m) be the first derivative of 3*m**6 + 0*m**2 - 5/2*m**4 - 2 + 6*m**5 - p*m**3 + 8*m. Suppose t(k) = 0. Calculate k.
-1, 2/3
Suppose -a + 2*v - 1 = -9, -4*v - 20 = -4*a. Let q(x) be the first derivative of 2/5*x**3 + 1 - 7/5*x**a + 4/5*x. Let q(n) = 0. Calculate n.
1/3, 2
Find w such that -4*w**3 - 16*w - 10*w**3 - 5*w**3 - 24*w**2 - 4 - 4*w**4 + 3*w**3 = 0.
-1
Let y(l) = -l**3 + l**2. Let w(i) = -i**3 + 16*i**2 - 15*i. Let t(c) = -w(c) + 6*y(c). Factor t(f).
-5*f*(f - 1)*(f + 3)
Suppose 20*l = 4*l + 32. Find c, given that -l*c**4 - 8*c**3 - 21/2*c**2 - 11/2*c - 1 = 0.
-2, -1, -1/2
Determine m so that 32/5 - 86/5*m**3 - 112/5*m + 22/5*m**4 + 146/5*m**2 - 2/5*m**5 = 0.
1, 4
Let w(r) = -14*r**3 - 17*r**2 + 7*r. Let s(g) = 27*g**3 + 33*g**2 - 15*g. Let k(n) = 5*s(n) + 9*w(n). Find h, given that k(h) = 0.
-2, 0, 2/3
Let a(h) be the third derivative of -2/315*h**7 + 0*h**3 - 1/180*h**6 - h**2 + 0*h**5 - 1/504*h**8 + 0*h + 0*h**4 + 0. Find v, given that a(v) = 0.
-1, 0
Let w(i) = 20*i**5 - 8*i**4 - 24*i**3 + 20*i + 8. Let s(r) = 13*r**5 - 5*r**4 - 16*r**3 + 13*r + 5. Let f(d) = 8*s(d) - 5*w(d). Factor f(x).
4*x*(x - 1)**2*(x + 1)**2
Suppose -j = 2*j - 18. Factor -3*u - 3*u**3 + j*u + 14 + 2*u**2 - 16.
-(u - 1)*(u + 1)*(3*u - 2)
Let y be (0 - 7)/((-2)/(-4)). Let z = y + 100/7. Let -2/7*x + z*x**2 + 2/7*x**3 - 2/7 = 0. What is x?
-1, 1
Let t = 15 - 14. Let 1 - d**2 + 5*d + t - 4 - 2*d = 0. Calculate d.
1, 2
Let w(d) = 3*d**3 - d - 2 + 4 + 0*d**2 - 4 - 2*d**2. Let s(o) = 4*o**3 - 2*o**2 - 2*o - 3. Let y(q) = -2*s(q) + 3*w(q). Factor y(j).
j*(j - 1)**2
Let j(o) = 16*o**4 + 2*o**3 - 2*o - 1. Let y(g) = 18*g - 31*g - 3*g**4 + 13*g. Let w(k) = 3*j(k) + 15*y(k). Suppose w(b) = 0. Calculate b.
-1, 1
Suppose -2*k - 4*m = -28, 3*k - m = -1 + 8. Find z, given that -4/5*z**k + 0 + 1/5*z + 2/5*z**3 + 4/5*z**2 - 3/5*z**5 = 0.
-1, -1/3, 0, 1
Let p(q) be the second derivative of 0 - 2*q + 3/2*q**2 + 0*q**3 + 1/10*q**6 + 0*q**5 - 1/2*q**4. Solve p(z) = 0.
-1, 1
Factor 5*b**5 + 2 + 4*b - 8*b**3 + 4*b**4 - 8*b**2 - b**5 + 2.
4*(b - 1)**2*(b + 1)**3
Let o(i) = 4*i**2 - 6*i - 3. Let p(f) = f**2 - 2*f. Let d(g) = 3*o(g) - 15*p(g). Solve d(s) = 0 for s.
1, 3
Let i(n) be the third derivative of -n**8/560 + n**7/150 - n**6/120 + n**5/300 - 8*n**2. Let i(s) = 0. Calculate s.
0, 1/3, 1
Let u be (-1)/(-2 + 39/18). Let l(d) = d**4 - d**2 + d. Let m(y) = 6*y**4 - 7*y**3 + 6*y - 2. Let k(v) = u*l(v) + 2*m(v). Find w, given that k(w) = 0.
-2/3, 1
Let z(n) be the third derivative of n**5/12 + 5*n**4/4 + 15*n**3/2 + 23*n**2 + 1. Find h such that z(h) = 0.
-3
Let d(y) be the third derivative of 0*y - 1/30*y**5 + 0 + 0*y**4 - 1/84*y**8 + 0*y**6 - y**2 + 0*y**3 + 1/35*y**7. Find j, given that d(j) = 0.
-1/2, 0, 1
Factor 0*s**2 + 0*s + 0*s**3 - 1/3*s**4 + 0.
-s**4/3
Let b = -26 - -38. Let x be b/(-10)*(-10)/3. Let 0*z**3 - 4*z**2 - 4*z**2 - 2*z**x + 8*z**3 = 0. What is z?
0, 2
Let z(o) be the second derivative of -o**5/10 - 7*o**4/6 - 5*o**3 - 9*o**2 + 3*o. Factor z(b).
-2*(b + 1)*(b + 3)**2
Let q(l) be the third derivative of 3*l**7/70 + l**6/20 - 9*l**5/20 - 3*l**4/2 - 2*l**3 + l**2. Factor q(a).
3*(a - 2)*(a + 1)**2*(3*a + 2)
Let i(c) be the second derivative of c**7/6300 - c**6/2700 - c**5/900 + c**4/180 - 3*c**3/2 - 5*c. Let v(z) be the second derivative of i(z). Factor v(d).
2*(d - 1)**2*(d + 1)/15
Find o such that 7*o**2 - o**5 + 7*o**4 - 5*o**2 + 7*o**2 - 15*o**3 = 0.
0, 1, 3
Let t(x) = -11*x**2 - 7. Let s = 13 - 6. Let w(u) be the second derivative of 5*u**4/12 + 3*u**2/2 - 8*u. Let p(l) = s*w(l) + 3*t(l). Factor p(q).
2*q**2
Factor -6 + 2 - 9*h + 3*h - 4*h**2 - 2*h.
-4*(h + 1)**2
Factor 4 + 0 - 2*q**4 - q**5 - 4 - q**3.
-q**3*(q + 1)**2
Suppose 23 - 13 = 2*h. Factor 1/4*c - 1/2*c**2 + 1/4*c**4 - 1/2*c**3 + 1/4*c**h + 1/4.
(c - 1)**2*(c + 1)**3/4
Let s(x) be the third derivative of -1/12*x**3 + 2*x**2 + 0 + 0*x - 1/48*x**4 - 1/672*x**8 - 1/420*x**7 + 1/60*x**5 + 1/120*x**6. Factor s(b).
-(b - 1)**2*(b + 1)**3/2
Suppose y = -7*y + 3*y. Find l, given that 0 + 0*l + y*l**2 - 2/5*l**3 = 0.
0
Suppose 2/11*m**3 + 2/11*m**2 - 2/11 - 2/11*m = 0. What is m?
-1, 1
Suppose 0 + 4/11*j + 2/11*j**2 = 0. Calculate j.
-2, 0
Let k(a) be the third derivative of 0*a - 3*a**2 + 0*a**3 + 0*a**4 - 1/315*a**7 + 0 + 0*a**5 + 0*a**6. Suppose k(h) = 0. Calculate h.
0
Let -33*k**2 - 14*k**2 - 27*k**3 - 84*k - 43*k**2 - 24 = 0. What is k?
-2, -2/3
Suppose -1/4*c**2 - 1 - 5/4*c = 0. Calculate c.
-4, -1
Let s(d) be the third derivative of 1/315*d**7 + 5*d**2 + 0*d**3 + 0*d**4 - 1/90*d**5 + 0*d + 0 + 0*d**6. Factor s(c).
2*c**2*(c - 1)*(c + 1)/3
Factor 5*m**4 + 12*m**3 + 7/2*m + 11*m**2 + 1/2*m**5 + 0.
m*(m + 1)**3*(m + 7)/2
Let r = -2 - -25. Let c = r + -23. Let 0 - 2/9*f**4 - 2/9*f**5 + c*f + 0*f**2 + 0*f**3 = 0. What is f?
-1, 0
Suppose d - 5*d = -20. Let w(i) = 2*i**3 - i**2 + 2*i - 1. Let a be w(1). Factor -16/3*j - d*j**a - 4/3.
-(3*j + 2)*(5*j + 2)/3
Let y be (-18)/(-8) + 2/(-8). Suppose -y*h + 10 = 4. Let 2*p**3 + 4*p**2 - 3*p**2 + p**4 - 4*p**h = 0. Calculate p.
0, 1
Let g(a) be the second derivative of 0 + 0*a**4 - 1/15*a**6 - 2/3*a**3 + 1/5*a**5 + a**2 + 3*a. Factor g(h).
-2*(h - 1)**3*(h + 1)
Let q(t) be the second derivative of -t**8/4480 + t**7/5040 + t**4/4 + 4*t. Let j(h) be the third derivative of q(h). Find d such that j(d) = 0.
0, 1/3
Factor 140 + 120*j + 5*j**4 - 11*j**3 - 60 + 5*j**2 - 9*j**3 - 10*j**3.
5*(j - 4)**2*(j + 1)**2
Determine b, given that 0*b - 8/7*b**2 + 0 - 90/7*b**4 + 48/7*b**3 + 50/7*b**5 = 0.
0, 2/5, 1
Let i(l) be the first derivative of l**4/7 - 2*l**3/7 + l**2/7 - 10. Factor i(j).
2*j*(j - 1)*(2*j - 1)/7
Factor 5/2*v**2 + 7/8*v**4 + 0 + 23/8*v**3 + 1/2*v.
v*(v + 1)*(v + 2)*(7*v + 2)/8
Let x(s) be the first derivative of -3*s**3/5 + s**2/5 - 11. Factor x(o).
-o*(9*o - 2)/5
Factor 0*c + 0 + 6/11*c**3 + 4/11*c**2.
2*c**2*(3*c + 2)/11
Let r be (-18)/(-7) - (-5 + 7). Find d such that r*d + 2/7*d**2 + 0 = 0.
-2, 0
Let p be 0*(0 + -1)*-1. Factor 0*m**2 + 2/9*m + p - 2/9*m**3.
-2*m*(m - 1)*(m + 1)/9
Determine w, given that -1 + 1 + 33*w**4 - 32*w**4 + w**5 - w**3 - w**2 = 0.
-1, 0, 1
Factor -10/3*n + 4/3*n**2 + 2/3*n**5 + 8/3*n**3 - 8/3*n**4 + 4/3.
2*(n - 2)*(n - 1)**3*(n + 1)/3
Let w(n) = -4*n**4 + 6*n**4 + n**5 - n - 6*n**2 - 2*n**2. Let k be (-34)/(-6) + 2/6. Let x(i) = i**2. Let o(f) = k*x(f) + w(f). Find y, given that o(y) = 0.
-1, 0, 1
Let l(m) be the first derivative of -m**5/30 + m**4/30 - m**2/2 - 2. Let t(k) be the second derivative of l(k). Find c such that t(c) = 0.
0, 2/5
Let v be ((-2)/5)/(15/((-270)/12)). Let z = -4 - -6. What is m in -2/5 - v*m - 1/5*m**z = 0?
-2, -1
Let n(w) be the second derivative of -w**7/21 + 2*w**6/15 - w**4/3 + w**3/3 + 6*w. Factor n(m).
-2*m*(m - 1)**3*(m + 1)
Suppose 0*w + 5*w - 5 = 0. Factor w - 3*g**2 - 3*g - 2 + g**3 + 2*g**3 - 4*g**3.
-(g + 1)**3
Let z be 3 + (-4)/(4*-1). Let m(u) be the first derivative of -2/5*u**3 + 0*u - 1 - 1/5*u**2 - 3/10*u**z - 2/25*u**5. Factor m(o).
-2*o*(o + 1)**3/5
Let g(l) be the second derivative of 0 + 0*l**3 - 1/10*l**5 + 0*l**2 + 5*l + 0*l**4. Factor g(m).
-2*m**3
Let j(t) be the third derivative of -t**6/240 + t**5/30 - t**4/12 + 5*t**2. Factor j(n).
-n*(n - 2)**2/2
Let k be (-3)/1080*(-3)/7. Let j(d) be the third derivative of 2/525*d**7 + 0*d**4 + 0*d**3 + k*d**8 + 0*d**5 + 2*d**2 + 0*d + 0 + 1/300*d**6. Factor j(w).
2*w**3*(w + 1)**2/5
Let f(r) = 3*r**4 - 6*r**3 - 2*r**2 + r + 4. Let s(w) = -5*w**4 + 9*w**3 + 3*w**2 - w - 6. Let z(j) = -8*f(j) - 5*s(j). Factor z(g).
(g - 1)*(g