he first derivative of k*u**2 + 0*u - 1/12*u**4 + 0*u**3 - 1. Factor m(h).
-h*(h - 1)*(h + 1)/3
Let l(y) = y**4 + y**3 + 2*y**2 + y + 1. Let c(o) = -20*o**4 + 20*o**3 - 20*o**2 - 5*o - 5. Let f(r) = c(r) + 5*l(r). Factor f(h).
-5*h**2*(h - 1)*(3*h - 2)
Factor 1/5 - 1/5*a + 1/5*a**3 - 1/5*a**2.
(a - 1)**2*(a + 1)/5
Let k = -13 + 13. Determine h, given that k*h + 2/9*h**4 - 2/9*h**2 + 2/9*h**5 - 2/9*h**3 + 0 = 0.
-1, 0, 1
Let s(q) = -q + 4. Let r be s(-3). Suppose -3*v = -2 - r. Factor 1/2*h**2 + 9/2 + v*h.
(h + 3)**2/2
Suppose 4*u + u + 16 = 2*x, -3*u = 5*x - 9. Suppose 0 = -3*g - 2*z + 21, -3*g - 5*z = -6*g. Factor 0*m**4 + 1/5*m**g + 0*m**2 + 0*m + 0 + 0*m**x.
m**5/5
Let t = 7 - 8. Let g be (1 - t)*(-5)/(-20). Factor 1/2*c**3 - g*c + 0 + 1/2*c**4 - 1/2*c**2.
c*(c - 1)*(c + 1)**2/2
Let q(h) be the second derivative of -1/16*h**4 + 3/8*h**2 + 0 + 6*h + 0*h**3. Solve q(z) = 0 for z.
-1, 1
Suppose o + o - 8 = 0. Let h be (o/15)/((-24)/(-20)). Factor 0*f + 4/9*f**4 + 0*f**2 + 2/9*f**5 + 0 + h*f**3.
2*f**3*(f + 1)**2/9
Suppose -4*h + 4*h**3 - 4*h**2 - 1 + 0*h**2 + 5 = 0. What is h?
-1, 1
Suppose -3*k = -2*k. Suppose -q - v - 2 = -11, 4*v - 20 = k. Find y, given that -4*y - 13*y**3 - 2*y**2 - 25*y**q - 14*y**5 + 4*y = 0.
-1, -1/2, -2/7, 0
Let z be 135/10*2/(-3). Let i be (-7)/28 + z/(-4). Suppose -16/9*t**4 - 4/9 + 10/9*t**5 + 20/9*t**i - 8/9*t**3 - 2/9*t = 0. Calculate t.
-1, -2/5, 1
Factor -20/3*g - 16/3*g**2 - 4/3.
-4*(g + 1)*(4*g + 1)/3
Let o(r) be the second derivative of 0 - 3*r - 1/24*r**4 + 1/80*r**5 + 0*r**2 + 1/24*r**3. Suppose o(l) = 0. What is l?
0, 1
Let b(l) be the second derivative of -5*l**4/12 - 10*l**3/3 + 2*l + 7. Find c, given that b(c) = 0.
-4, 0
Let z(f) = 50*f**3 - 935*f**2 + 1580*f - 765. Let q(i) = 3*i**3 - 55*i**2 + 93*i - 45. Let l(u) = -35*q(u) + 2*z(u). Find y such that l(y) = 0.
1, 9
Suppose 3*l + l - 17 = -s, -5*l + s = -10. Suppose -l*t = t - 20. Solve 4*n**2 - t*n**2 + 3*n**2 + 4*n = 0 for n.
-2, 0
Let r(f) be the first derivative of -f**4/22 - 4*f**3/11 - 12*f**2/11 - 16*f/11 + 8. Let r(g) = 0. What is g?
-2
Let j(o) be the second derivative of 1/10*o**6 + 0 + 0*o**2 + 3/7*o**7 - 3/4*o**5 + 0*o**3 - 1/2*o**4 + 4*o. Suppose j(y) = 0. Calculate y.
-2/3, -1/2, 0, 1
Let b be (290/58)/(1 + 0). Find g such that 0*g + 1/7*g**b + 0 - 1/7*g**3 + 0*g**4 + 0*g**2 = 0.
-1, 0, 1
Let o(w) be the third derivative of -1/8*w**4 + 10*w**2 + 1/70*w**7 + 0*w + 0 + 1/40*w**6 - 3/20*w**5 + w**3. Factor o(v).
3*(v - 1)**2*(v + 1)*(v + 2)
Let j(h) be the first derivative of -16*h**3 + 9*h**2/2 - 14. Suppose j(d) = 0. What is d?
0, 3/16
Let w(t) = -t**2 - 6*t - 2. Let c be w(-5). Determine x, given that 7*x - 5*x**3 + 2*x**3 - 7*x**2 + 5*x**c - 2 = 0.
1/2, 1, 2
Suppose 2*y + 3*y = 20. Let f(v) be the first derivative of -y*v**2 + 2*v + 0*v**2 + 2*v**2 - 1 - 2*v**3. Factor f(l).
-2*(l + 1)*(3*l - 1)
Suppose -26 = -4*f + 2*n + 3*n, 2*n = -f. Let p(j) be the second derivative of 0 - 1/3*j**f - 4/9*j**3 - 1/45*j**6 - 3*j - 2/15*j**5 - 1/3*j**2. Factor p(c).
-2*(c + 1)**4/3
Let o(k) be the second derivative of k**4/6 - k**3/3 + 3*k. Solve o(u) = 0.
0, 1
Let w(d) = d**3 + 8*d**2 - 8*d + 9. Let a be w(-9). Suppose -4*r = -a - 8. Factor -8*l**4 - 3*l**5 + 3*l**2 + 6*l**2 - 15*l**3 - r*l + 19*l**4.
-l*(l - 1)**3*(3*l - 2)
Let z(w) be the second derivative of -w**4/60 + 4*w**3/15 - 8*w**2/5 - 17*w. Determine o so that z(o) = 0.
4
Suppose 0*o = 2*o + 6, 5*l - 4*o + 48 = 0. Let a = l + 18. Factor -6*x**3 + 4*x**5 - 5*x**5 - x**5 - 2*x**2 - a*x**4.
-2*x**2*(x + 1)**3
Suppose -7*q = -4*q. Let t(h) be the first derivative of q*h + 0*h**2 + 0*h**4 + 2 - 1/5*h**5 + 1/3*h**3. Solve t(d) = 0 for d.
-1, 0, 1
Suppose 0 = -4*y + 3*y + 2. Suppose -y*v = -0*v + 3*h - 7, -h = 5*v - 11. Let -n**5 - 2*n**2 + 4*n**3 + 1 - 2*n + n + n**4 - v*n**3 = 0. Calculate n.
-1, 1
Let j = -116 + 118. Find z such that 0 - 1/2*z**j + 1/2*z = 0.
0, 1
Let w(t) be the second derivative of 0 + 0*t**2 + 1/14*t**3 + 10*t + 1/28*t**4. Determine p so that w(p) = 0.
-1, 0
Let v = 73 - 70. Let k(j) be the first derivative of 1 + 12*j**2 + v*j**4 + 8*j + 26/3*j**3 + 2/5*j**5. Solve k(s) = 0 for s.
-2, -1
Let r(x) = 3*x + 2. Suppose 0 = -u - 5*m - 15, -3*m = 6 + 6. Suppose -2*d = k, 0 = -5*d + 4*k - 8 - u. Let z(p) = p**2. Let v(o) = d*z(o) - r(o). Factor v(y).
-(y + 1)*(y + 2)
Let w be 0 + 24/(-7) + 4. Factor -2/7*c**2 - 2/7 + w*c.
-2*(c - 1)**2/7
Suppose -4*s + 3*x + 6 = 0, 0*x + 3*x = -6. Factor s*c - 3*c + 8*c**2 - 3*c - 2.
2*(c - 1)*(4*c + 1)
Determine z, given that 3*z**3 - 5*z + 3*z - 4*z**3 + z**2 + 2*z**2 = 0.
0, 1, 2
Let g be 2/6 - (3 + -5)/6. Determine u so that 2/3*u**2 + 0*u - g*u**3 + 0 = 0.
0, 1
Let s(a) be the first derivative of a**5/90 - a**4/36 + a**2 + 1. Let n(o) be the second derivative of s(o). Solve n(u) = 0.
0, 1
Let h(z) be the first derivative of z**9/1512 - z**7/210 + z**5/60 - z**3 - 4. Let w(t) be the third derivative of h(t). Factor w(m).
2*m*(m - 1)**2*(m + 1)**2
Let j be 14/(-21) - 4/(-6). Let q(s) be the first derivative of 0*s + 3/16*s**4 + 1/12*s**3 - 1 + j*s**2. Factor q(g).
g**2*(3*g + 1)/4
Suppose -l + 2 = -0. Factor 4*o**2 - o**2 + 2*o - 2*o**l + 1.
(o + 1)**2
Let o be (-1323)/(-12)*(-8)/(-3). Let p be (o/(-44))/(3/(-4)). Factor p*w**4 - 42/11*w**3 - 8/11*w - 48/11*w**2 + 0.
2*w*(w - 1)*(7*w + 2)**2/11
Suppose 2/17*n**3 + 0 - 6/17*n**2 + 4/17*n = 0. What is n?
0, 1, 2
Suppose 3*b + 4 = -2*h - 0*b, 2*h = 5*b + 28. Let m be (-2)/(-10) + h/30. Factor 2/3*f + m*f**2 - 1/3*f**3 + 0.
-f*(f - 2)*(f + 1)/3
Let n = 186 - 1300/7. Find r such that -8/7*r**4 - n*r - 2/7*r**5 - 12/7*r**3 + 0 - 8/7*r**2 = 0.
-1, 0
Let r(f) = -f**5 + f**4 + f**3 - f - 1. Let u(p) = -3*p**4 + 7*p**3 - 4*p**2 - 1. Let b(h) = -4*r(h) + 4*u(h). Suppose b(l) = 0. What is l?
0, 1
Let g = -56/11 - -291/55. Determine d so that -4/5 + 0*d + g*d**2 = 0.
-2, 2
Let g(f) be the first derivative of 2*f**5/5 + 3*f**4/2 + 2*f**3 + f**2 + 5. Determine d so that g(d) = 0.
-1, 0
Let f(u) be the second derivative of u**5/10 - 2*u**4/3 + 4*u**3/3 - 4*u. Solve f(l) = 0.
0, 2
Let a(y) be the third derivative of -1/18*y**3 + 0 - 1/360*y**6 - 2*y**2 + 0*y + 1/180*y**5 + 1/72*y**4. Determine i so that a(i) = 0.
-1, 1
Let v(x) be the second derivative of x**5/300 - x**4/120 - x**2 + 2*x. Let u(o) be the first derivative of v(o). Solve u(n) = 0 for n.
0, 1
Let f(q) be the first derivative of -q**6/42 - 3*q**5/35 - q**4/14 + 2*q**3/21 + 3*q**2/14 + q/7 - 1. Factor f(t).
-(t - 1)*(t + 1)**4/7
Let t(u) be the first derivative of -2*u**5/25 + 2*u**3/5 - 2*u**2/5 + 3. Find h, given that t(h) = 0.
-2, 0, 1
Let s = -4/35 - -32/35. Let l be 3*(-2)/60*-4. Factor -2/5*d**4 - l*d + s*d**2 - 2/5 - 2/5*d**5 + 4/5*d**3.
-2*(d - 1)**2*(d + 1)**3/5
Let j(t) = 3*t**3 - 5*t**2 - 8*t - 2. Let x(p) = -9*p**3 + 16*p**2 + 25*p + 7. Let g(y) = -7*j(y) - 2*x(y). Determine n, given that g(n) = 0.
-1, 0, 2
Let o(u) be the second derivative of -u**5/16 + 3*u**4/16 - u**3/8 - u**2/8 - 2*u. Factor o(l).
-(l - 1)**2*(5*l + 1)/4
Suppose -2*c - 3*t - 17 = 0, -4*c - 19 = 2*t + 3. Let u be (2 - 2)*(c - -3). Solve 1/2*i**4 + 0 + 0*i**3 + u*i**2 + 0*i + i**5 = 0 for i.
-1/2, 0
Let s(f) be the first derivative of -f**4/2 + 2*f**3/3 + 2*f**2 - 12. Factor s(o).
-2*o*(o - 2)*(o + 1)
Let k(j) be the first derivative of j**4/16 - j**3/4 + 3*j**2/8 - 3*j - 2. Let f(i) be the first derivative of k(i). Factor f(d).
3*(d - 1)**2/4
Factor -96*o**2 - 14 - 144*o - 2 - 228*o**2.
-4*(9*o + 2)**2
Let j(s) be the first derivative of -s**3/5 - 9*s**2/5 - 27*s/5 - 3. Factor j(u).
-3*(u + 3)**2/5
Let y(j) be the third derivative of j**7/945 - j**6/135 + 2*j**5/135 + 2*j**2. Let y(f) = 0. Calculate f.
0, 2
Let j(s) = -s**3 - 5*s**2 + 6*s - 4. Let u(m) = 2*m**3 + 11*m**2 - 12*m + 9. Let c(v) = 9*j(v) + 4*u(v). Solve c(x) = 0 for x.
-3, 0, 2
Let a(i) be the second derivative of -i**5/120 - 3*i. Factor a(g).
-g**3/6
Let i(o) be the second derivative of -2*o + 0 - o**2 + 1/6*o**4 + 0*o**3. Solve i(p) = 0 for p.
-1, 1
Let w(r) be the first derivative of -r**4/12 + 4*r**3/3 - 8*r**2 + 64*r/3 + 21. Factor w(p).
-(p - 4)**3/3
Factor 8/17*l**4 + 2/17*l + 8/17*l**2 + 0 + 2/17*l**5 + 12/17*l**3.
2*l*(l + 1)**4/17
Let c(w) be the first derivative of w**6/30 + w**5/10 - w**3/3