+ x*h - 2/9*h**3 = 0. Calculate h.
0
Let i = -44 - -142/3. Find q such that i*q + 20/3*q**2 + 20/3*q**3 + 2/3 + 2/3*q**5 + 10/3*q**4 = 0.
-1
Let q(b) be the third derivative of -b**8/40320 - b**7/5040 - b**6/1440 - b**5/60 + 3*b**2. Let v(f) be the third derivative of q(f). Factor v(t).
-(t + 1)**2/2
Let f(y) be the third derivative of 0 + 0*y**3 + 2*y**2 - 1/210*y**7 + 0*y**5 + 1/6*y**4 + 0*y - 1/40*y**6. Factor f(w).
-w*(w - 1)*(w + 2)**2
Factor 6*z**3 + 3/2 - 21/2*z**2 + 3*z.
3*(z - 1)**2*(4*z + 1)/2
Let k(c) = 7*c**2 - 2*c - 3. Let y(j) = -8*j**2 + j + 4. Let q(u) = 7*k(u) + 6*y(u). Let h be q(8). Factor -z**h + z**4 + 5*z - 5*z.
z**3*(z - 1)
Let p(r) be the second derivative of 0 + 1/5*r**5 + 0*r**3 + 0*r**2 + r - 1/5*r**6 + 1/6*r**4. Solve p(y) = 0.
-1/3, 0, 1
Suppose -18/5 - 2/5*u**2 - 4*u = 0. What is u?
-9, -1
Let p be ((-35)/28)/((-2)/24). Let u be (-6)/(-9)*p/2. Factor -f + f - 3*f - f**3 + u*f - f**2.
-f*(f - 1)*(f + 2)
Let b(r) be the first derivative of -r**6/60 + r**5/50 + 3*r**4/40 - r**3/30 - r**2/10 - 14. What is o in b(o) = 0?
-1, 0, 1, 2
What is l in 6/5*l**2 - 4/5 + 2/5*l = 0?
-1, 2/3
Let o(x) be the first derivative of -2*x**2 - 3. Let p be o(-1). Suppose 2*n - 2*n**p + 3*n**5 - n + 2*n**2 - 4*n**5 = 0. What is n?
-1, 0, 1
Let v(w) = w**4 - w**2 - w. Let l(s) = 2*s**4 + 15*s**3 - 78*s**2 + 122*s. Let f(j) = -2*l(j) + 6*v(j). Factor f(y).
2*y*(y - 5)**3
Let r(f) be the first derivative of -f**4 - 16*f**3 - 96*f**2 - 256*f - 5. Factor r(y).
-4*(y + 4)**3
Suppose -h = 3*i + 2*h - 15, -2*i + 4*h + 28 = 0. Let j = i - 2. Let j*p**3 - 14/3*p**4 - 4/3*p**2 + 0*p + 0 = 0. Calculate p.
0, 2/7, 1
Suppose -2 = 2*c, m + 1 = 5*c - 66. Let r be (3/9)/((-15)/m). Solve r + 8/5*k + 2/5*k**2 = 0.
-2
Let z(t) be the first derivative of 0*t - 1/7*t**2 + 4/21*t**3 - 1/14*t**4 - 4. Suppose z(v) = 0. Calculate v.
0, 1
Let p(l) = -l - 1. Let w be p(-3). Let s be (2/(-2))/((-1)/w). Factor -2*c**3 - 5*c + 4 - c + c - 5*c + 8*c**s.
-2*(c - 2)*(c - 1)**2
Let x(r) be the first derivative of -7/12*r**6 - 5 + 0*r**2 + 0*r - 1/16*r**4 - 1/6*r**3 + 17/20*r**5. Let x(y) = 0. What is y?
-2/7, 0, 1/2, 1
Factor 3/4*j**2 - 3/4*j + 3/4*j**3 - 3/4.
3*(j - 1)*(j + 1)**2/4
Let x(l) be the first derivative of 0*l - 3 - 1/15*l**5 - 1/9*l**3 - 1/6*l**4 + 0*l**2. Factor x(h).
-h**2*(h + 1)**2/3
Suppose -26/7*k**3 + 13/7*k**4 + 0 + 5/7*k**5 + 8/7*k**2 + 0*k = 0. Calculate k.
-4, 0, 2/5, 1
Let z = -27 - -27. Let l be (-7)/(-6) - 4/8. Let -1/3*y**4 + z*y + 0 + l*y**3 + 0*y**2 = 0. What is y?
0, 2
Factor -2*b**5 + 18*b**3 + b**5 + b**2 - 17*b**3 - b**4.
-b**2*(b - 1)*(b + 1)**2
Let o(s) be the second derivative of 7*s**7/24 + 7*s**6/40 - 3*s**5/10 + s**4/12 + 15*s. Factor o(v).
v**2*(v + 1)*(7*v - 2)**2/4
Let r(v) be the third derivative of v**6/8 + 3*v**5/5 + v**4/2 + 46*v**2. Determine m so that r(m) = 0.
-2, -2/5, 0
Let j be 5/2 + 2/1. Let g be ((-39)/117)/(-1*3/27). Solve -3/2 + 9/2*d + 3/2*d**g - j*d**2 = 0.
1
Suppose s - 1 = f, -2*f + 36*s - 35*s = -2. Suppose 1/3*i**f + 1/2*i**2 - 1/6 + 0*i = 0. What is i?
-1, 1/2
Let u(g) = -39*g**3 - 146*g**2 - 176*g - 36. Let d(c) = 38*c**3 + 147*c**2 + 177*c + 37. Let x(m) = -4*d(m) - 3*u(m). Let x(s) = 0. What is s?
-2, -2/7
Suppose 2*l - 5*s = -10, -3*l + s - 2 = -0*l. Suppose 4 = -l*a + 2*a. Factor -2/9*j**a + 2/9*j**4 + 2/9*j - 2/9*j**3 + 0.
2*j*(j - 1)**2*(j + 1)/9
Suppose -3*a + 6*a - 45 = 0. Let g be 15/9*21/a. Suppose 2/3 - 4/3*d**2 - g*d + 2/3*d**4 + 14/3*d**3 - 7/3*d**5 = 0. Calculate d.
-1, 2/7, 1
Let -12*t**3 + 13*t - t - 16*t**4 + 22*t**2 - 4 - 2*t**2 = 0. Calculate t.
-1, 1/4, 1
Let o = -2/3035 - -3644/3035. Factor 0*m**2 - 4/5*m**3 - o*m**4 + 0*m - 2/5*m**5 + 0.
-2*m**3*(m + 1)*(m + 2)/5
Let f(j) = j**3 + 15*j**2 + 2. Let w be f(-15). Suppose -4*r = -w*c, -3*c - 2*c + 6 = -4*r. Factor 0*l**c - 4/7 + 6/7*l - 2/7*l**3.
-2*(l - 1)**2*(l + 2)/7
Let a(p) be the first derivative of -3*p + 1/15*p**4 + 1/15*p**3 + 1 + 0*p**2. Let o(h) be the first derivative of a(h). Find d such that o(d) = 0.
-1/2, 0
Suppose -4*n = -3*n. Let o(p) be the third derivative of 0*p + 0 + p**2 + n*p**3 + 0*p**5 - 1/420*p**6 + 1/84*p**4. Suppose o(g) = 0. Calculate g.
-1, 0, 1
Let j be ((-6)/7)/((-21)/98). Let m(c) be the third derivative of 0 - 1/60*c**5 + 0*c + 1/24*c**j + 0*c**3 + 3*c**2. Factor m(a).
-a*(a - 1)
Let p(j) be the third derivative of -j**8/1848 + j**7/77 - 3*j**6/22 + 9*j**5/11 - 135*j**4/44 + 81*j**3/11 - 8*j**2. Find g such that p(g) = 0.
3
Suppose 3 = -4*d - 3*t, -5*d - 4*t = -0 + 4. Let q(z) be the first derivative of -1/12*z**4 - 2 + 0*z**2 + 1/9*z**3 + d*z. Factor q(u).
-u**2*(u - 1)/3
Solve -2/5*m**4 + 0 + 8/5*m + 0*m**2 - 6/5*m**3 = 0 for m.
-2, 0, 1
Let w be ((-2)/((-8)/(-6)))/((-162)/216). Let q(m) be the third derivative of 0 + 0*m + 0*m**5 - 1/4*m**4 - 4*m**w + 2/3*m**3 + 1/60*m**6. Factor q(r).
2*(r - 1)**2*(r + 2)
Let a = 3 + -1. Factor -8*s**2 + 3*s**a + 6*s**2.
s**2
Let n be 1/2 - (-36)/8. Let t(p) be the first derivative of 4 + 0*p**2 - p**4 - 2/3*p**3 - 2/5*p**n + 0*p. Factor t(m).
-2*m**2*(m + 1)**2
Suppose 0 = 9*x - 4*x. Factor x + 0*r - 1/4*r**2.
-r**2/4
Factor 3/5*m - 11/5*m**2 + 0 - 4/5*m**3.
-m*(m + 3)*(4*m - 1)/5
Let d(u) be the second derivative of -2*u + 0 + 1/90*u**5 + 2/9*u**3 - 1/12*u**4 - 3/2*u**2. Let i(m) be the first derivative of d(m). Factor i(o).
2*(o - 2)*(o - 1)/3
Suppose -26 = b - 3. Let l be (-3)/12 - b/28. Factor 2/7*a**2 + 4/7 + l*a**3 - 10/7*a.
2*(a - 1)*(a + 2)*(2*a - 1)/7
Factor 12/5*d - 1/5*d**3 + 23/10*d**2 - 72/5 - 1/10*d**4.
-(d - 3)**2*(d + 4)**2/10
Let l(c) = 3*c**5 + 6*c**4 + 18*c**3 + 15. Let a(w) = w**2 - 1. Let h(p) = -p**3 - p**2. Let t(d) = -a(d) - h(d). Let r(j) = l(j) - 15*t(j). Factor r(y).
3*y**3*(y + 1)**2
Let j(s) be the third derivative of s**9/241920 + s**8/80640 - s**5/20 + 2*s**2. Let d(g) be the third derivative of j(g). Factor d(c).
c**2*(c + 1)/4
Let g(z) be the third derivative of -1/132*z**4 + 1/330*z**5 - 4*z**2 + 0*z + 0 + 0*z**3. Factor g(h).
2*h*(h - 1)/11
Let w(n) be the second derivative of -n**4/12 + n**3/2 + 5*n**2 - 29*n. Suppose w(t) = 0. Calculate t.
-2, 5
Let c(k) = 3 - 10*k + 2*k + 4*k**2 + 3. Let l(x) = 2*x - 7*x**2 - 8 + 4*x - 3 + 9*x. Let q(r) = -11*c(r) - 6*l(r). Determine z, given that q(z) = 0.
-1, 0
Let k be 1/(-1) + 31/30. Let j(x) be the third derivative of 0*x**4 + 1/3*x**3 + 0 + 0*x - x**2 - k*x**5. Factor j(c).
-2*(c - 1)*(c + 1)
Let q(a) be the first derivative of a**4/4 + a**2/2 + 2*a + 1. Let x be q(0). Find s, given that -28 + 28 - x*s**2 = 0.
0
Let j(m) be the first derivative of m**7/42 - m**6/15 + m**4/6 - m**3/6 - m + 1. Let c(x) be the first derivative of j(x). Find z, given that c(z) = 0.
-1, 0, 1
Suppose 16 + 17 = 11*q. Factor 0 + 0*l**4 + 0*l**2 - 2/3*l**q + 1/3*l**5 + 1/3*l.
l*(l - 1)**2*(l + 1)**2/3
Determine c, given that 0 + 0*c**2 + 4/7*c**3 - 2/7*c**4 + 0*c - 2/7*c**5 = 0.
-2, 0, 1
Suppose 4*n - 8 + 0 = 0. Find w such that 2*w**3 + 4*w**2 - 2*w + 2*w + 2*w**n = 0.
-3, 0
Suppose 2*w - 6 = -w. Let j be w*-1 + 96/40. Factor 0*x**2 - j*x**4 + 2/5 - 4/5*x**3 + 4/5*x.
-2*(x - 1)*(x + 1)**3/5
Let m(v) = v + 5. Let o be m(-3). Let c(g) = -g**2. Let d(z) be the second derivative of z**4/4 + 3*z. Let a(r) = o*d(r) + 4*c(r). Factor a(q).
2*q**2
Let w(r) = -r**3 + 16*r**2 - 29*r + 16. Let q be w(14). Solve 12/7 + 24/7*u + 9/7*u**q = 0.
-2, -2/3
Let c(b) = 2*b + 3. Let m(w) = -w - 2. Let f(k) = -3*c(k) - 4*m(k). Let l be f(-2). Factor 0*r**3 - l*r**3 - 4*r**2 - r - 3*r + 3*r.
-r*(r + 1)*(3*r + 1)
Let w = -307 + 311. Factor 0*o + 0*o**2 + 0 - 1/5*o**5 + 0*o**3 - 2/5*o**w.
-o**4*(o + 2)/5
Solve 0*c + 0 - 2/15*c**4 - 4/15*c**3 - 2/15*c**2 = 0.
-1, 0
Let h(w) be the first derivative of -1/2*w**2 - 1/3*w**3 + 0*w - 1. Let v(q) = 3*q**2 + q. Let f(r) = 4*h(r) + 2*v(r). Factor f(c).
2*c*(c - 1)
Let c(u) = -4*u**2 - 8*u + 12. Let j(d) = 1. Let b(g) = -c(g) + 12*j(g). Suppose b(p) = 0. What is p?
-2, 0
Let d(f) be the third derivative of f**6/6 - 2*f**5/15 - 5*f**4/6 + 4*f**3/3 - 6*f**2. Factor d(h).
4*(h - 1)*(h + 1)*(5*h - 2)
Find w such that 92*w**2 + 0*w**4 + 24*w**3 + 63*w + 2*w**4 + 29*w + 28*w + 50 = 0.
-5, -1
Suppose 0 = 3*s + 2 - 5. Suppose 2*l - s = 3. Determine x so that -8*x**2 - 49*x**3 - 4 + 6*x**l - 19*x**2 + 24*x