+ 4/9*b + 2/3*b**3 - k*b**5 + 0 - 10/9*b**2 = 0. Calculate b.
-2, 0, 1
Let q(w) be the third derivative of w**5/140 + w**4/4 + 12*w**3/7 - w**2 - 1. Factor q(y).
3*(y + 2)*(y + 12)/7
Let q(c) be the first derivative of 50/3*c**3 + 20*c + 2/5*c**5 - 9/2*c**4 + 24 - 27*c**2. Factor q(g).
2*(g - 5)*(g - 2)*(g - 1)**2
Let t(n) be the second derivative of n**6/10 - 11*n**4/4 - 9*n**3 - 12*n**2 - 258*n. Factor t(o).
3*(o - 4)*(o + 1)**2*(o + 2)
Factor 0 - 2/3*j**5 + 52/3*j**3 - 112*j**2 - 294*j + 16/3*j**4.
-2*j*(j - 7)**2*(j + 3)**2/3
Suppose 3*h = 5*h + 7*h. Let f be (h - (-21)/2) + -6. Factor 0*y - 3/2*y**5 + 0 - 3*y**3 + 0*y**2 - f*y**4.
-3*y**3*(y + 1)*(y + 2)/2
Let n(r) be the third derivative of 1/42*r**7 + 6*r**2 + 0*r + 0*r**3 + 0 - 1/24*r**6 + 0*r**5 + 0*r**4. Let n(l) = 0. Calculate l.
0, 1
Let b be 14 + -14 + (5 - 0). Suppose 2*s = 13 - b. Factor 4 - 8*y - 8*y**3 + s*y**2 + 26*y**3 - 28*y**2 + 10*y.
2*(y - 1)*(3*y - 2)*(3*y + 1)
Let s(l) = -l**2 + l + 1. Suppose -5*g = -30 + 5. Suppose -g*w = -2*w - 24. Let o(y) = -14*y**3 + 10*y**2 + 4*y + 8. Let v(f) = w*s(f) - o(f). Factor v(p).
2*p*(p - 1)*(7*p - 2)
Let l(t) = 5*t**2 + 5*t - 13. Let m(k) = 7*k**2 + 4*k - 12. Let c(u) = 4*l(u) - 3*m(u). Find a, given that c(a) = 0.
4
Solve -4 + 2 + 7*p - 10 - 44*p**2 + 10*p + 39*p = 0.
3/11, 1
Let x be 1*(7 - (427/49 - 2)). Factor -2/7*a**2 - x*a + 4/7.
-2*(a - 1)*(a + 2)/7
Let i(g) be the third derivative of -5*g**8/336 - g**7/42 + g**6/12 + 39*g**2. Factor i(x).
-5*x**3*(x - 1)*(x + 2)
Let b(d) be the first derivative of 0*d - 2/5*d**5 - 5/4*d**4 + 2/3*d**3 + 2 + 5/6*d**6 + 0*d**2. Factor b(c).
c**2*(c - 1)*(c + 1)*(5*c - 2)
Let j(f) be the third derivative of -11*f**2 + 4/5*f**5 + 5/3*f**4 + 1/60*f**7 + 0*f + 4/3*f**3 + 0 + 11/60*f**6. Find i, given that j(i) = 0.
-2, -2/7
Suppose 0 = 4*c - 26 + 6. Suppose -c*d = -7*d + 46. Factor 8 + 6*b + 4*b - d*b**2 + 18*b**2 + 7.
-5*(b - 3)*(b + 1)
Suppose 5*v + 2*l - 113 = 0, -3*v - l - 4*l + 83 = 0. Suppose 4*r = -1 + v. Factor 6*b**4 - 3*b**5 - 2*b**4 + b**r.
-2*b**4*(b - 2)
Let s(n) be the third derivative of -n**5/45 + n**4/24 + n**3/18 - 2*n**2 + 41*n. Suppose s(j) = 0. Calculate j.
-1/4, 1
Let l(y) = 7*y**4 - 7*y**3 + 2*y**2 - 2. Let r(g) = -8*g**4 + 8*g**3 - 3*g**2 + 3. Let z(o) = -3*l(o) - 2*r(o). Factor z(k).
-5*k**3*(k - 1)
Let y be (-5)/(-10)*-3 - 163/(-108). Let w(z) be the third derivative of 0*z + 0*z**3 - 1/135*z**5 + 0 + 5*z**2 - y*z**4 - 1/540*z**6. Solve w(k) = 0.
-1, 0
Find q such that 1/2*q**2 - 4*q - 10 = 0.
-2, 10
Factor 32*y**3 - 79*y**3 + y**4 - 2*y + y**2 + 20*y**3 + 4*y**2 + 23*y**3.
y*(y - 2)*(y - 1)**2
Let o be 34/3 - 15 - 2*-2. Suppose p = 6*p - 10. Let 0 - o*l**p + 1/3*l = 0. What is l?
0, 1
Factor 1/5*m**5 + 12/5*m**2 + 0*m + 0*m**4 - 13/5*m**3 + 0.
m**2*(m - 3)*(m - 1)*(m + 4)/5
Let k = 11061 - 143673/13. Factor -20/13*m**3 + 72/13 - k*m + 74/13*m**2 + 2/13*m**4.
2*(m - 3)**2*(m - 2)**2/13
Let q(i) be the third derivative of -7*i**7/135 - 329*i**6/270 - 671*i**5/90 + 329*i**4/27 - 196*i**3/27 - 160*i**2. Factor q(w).
-2*(w + 7)**2*(7*w - 2)**2/9
Let u(q) be the first derivative of 2*q**7/147 - 2*q**6/21 + 8*q**5/35 - 4*q**4/21 + 18*q - 5. Let v(o) be the first derivative of u(o). Factor v(x).
4*x**2*(x - 2)**2*(x - 1)/7
Let -960*d**2 + 1920*d - 1536 - 30*d**4 + 240*d**3 + 3/2*d**5 = 0. Calculate d.
4
Let n(x) be the first derivative of x**6/18 + 3*x**5/5 + 23*x**4/12 + 5*x**3/3 - 486. Factor n(r).
r**2*(r + 1)*(r + 3)*(r + 5)/3
Let h(c) be the first derivative of -1/26*c**4 + 19 + 16/13*c + 4/13*c**3 - 12/13*c**2. Determine g so that h(g) = 0.
2
Let x(k) = 4*k**5 - k**4 - 11*k**3 + 6*k**2 + 10*k - 18. Let w(m) = -3*m**5 + 2*m**4 + 10*m**3 - 8*m**2 - 11*m + 18. Let t(q) = -5*w(q) - 4*x(q). Factor t(u).
-(u - 1)**2*(u + 2)*(u + 3)**2
Solve -129290 - 599710 - 262*t**4 - 680400*t + 11078*t**3 + 2*t**5 - 38546*t**2 - 96184*t**2 = 0 for t.
-2, 45
Let q(p) = -195*p**4 + 80*p**3 + 172*p**2 - 98*p. Let b(o) = -o**4 + 2*o**2. Let m(y) = -5*b(y) - q(y). Find n, given that m(n) = 0.
-1, 0, 7/10
Let c = 62 + -42. Suppose 5*k - 25 = 2*x, 2*k + 2*k - c = -2*x. Factor k*w**2 - 3*w**2 - 5 - 2*w**3 + 0*w**2 + 3 + 2*w.
-2*(w - 1)**2*(w + 1)
Suppose 17*x + 6*x = -10*x - 39*x. Determine z, given that 4/5*z**3 - 16/5 + 12/5*z**2 + x*z = 0.
-2, 1
Let x(s) = 2*s**2 + s - 4. Let z(h) = 10*h**2 + 58*h - 162. Let i(r) = 6*x(r) - z(r). Find l such that i(l) = 0.
3, 23
Suppose 23 = -q + 5*o, 0*o = -5*q - 2*o + 20. Let z be 8/6*21/2. Let -17*x**2 - 2*x**4 - 5*x**2 - 14*x**q - 16 - 40*x - z*x**3 = 0. Calculate x.
-2, -1
Let j(y) = -y**2 - 20*y - 34. Let z be j(-2). Determine o so that 4/3*o**3 - 2048/3 - 32*o**z + 256*o = 0.
8
Let c(d) be the second derivative of -d**8/112 + 2*d**7/35 - d**6/8 + d**5/10 + 14*d**2 - 22*d. Let m(z) be the first derivative of c(z). Solve m(h) = 0 for h.
0, 1, 2
Let j be -183 - (-1 - -1) - 4/2. Let g be 3 - (j/(-60) + (-1)/3). Factor -1/4*q**2 - g*q + 0 + q**5 - 11/4*q**4 + 9/4*q**3.
q*(q - 1)**3*(4*q + 1)/4
Let b be -3 + -2 + (3 - -8). Let t = b + -6. Factor 0*h + 3*h**2 - 9 + t*h - 3.
3*(h - 2)*(h + 2)
Let l(c) be the second derivative of 9*c + 1/5*c**3 + 0 + 9/10*c**2 + 1/60*c**4. Factor l(f).
(f + 3)**2/5
Let y(j) be the second derivative of -1/3*j**3 - 1/18*j**4 - 2/3*j**2 + 0 + 12*j. Solve y(b) = 0.
-2, -1
Let b(w) be the second derivative of 5*w**7/42 + w**6/3 - 3*w**5/4 - 10*w**4/3 - 10*w**3/3 - 37*w + 2. Factor b(a).
5*a*(a - 2)*(a + 1)**2*(a + 2)
Let c be -11 + 6 + (2 - 1) + 4. Let p be (c - 4/(-20))*2. Determine a so that 0 + 0*a + p*a**2 = 0.
0
Let n(k) be the third derivative of -1/30*k**5 - 1/180*k**6 + 5/36*k**4 + 1/315*k**7 - 2/9*k**3 + 0*k - 2*k**2 + 0. Factor n(x).
2*(x - 1)**3*(x + 2)/3
Let x(q) be the third derivative of -q**7/8400 + q**6/720 - q**5/150 + q**4/60 + 5*q**3/2 - 16*q**2. Let d(t) be the first derivative of x(t). Factor d(m).
-(m - 2)**2*(m - 1)/10
Let p(m) be the first derivative of m**6/180 - m**4/36 + m**2/12 + 9*m + 8. Let k(t) be the first derivative of p(t). Solve k(n) = 0.
-1, 1
Let x(g) = 10*g**3 + 8*g**2 + 4. Let o(d) = 6 - 15*d**3 + 0 - 5 + 16*d**3 + d**2. Let i(n) = -4*o(n) + x(n). Find q such that i(q) = 0.
-2/3, 0
Let v(p) be the first derivative of p**4/4 - p**3 - 9*p**2/2 - 18*p - 6. Let g(c) be the first derivative of v(c). Let g(y) = 0. Calculate y.
-1, 3
Let z(g) = 8*g**2 + 26*g - 106. Let q(p) = 3*p**2 + 8*p - 35. Let w(b) = -11*q(b) + 4*z(b). Factor w(s).
-(s - 13)*(s - 3)
Let c(g) be the first derivative of g**4 + 176*g**3/3 + 168*g**2 + 376. Factor c(s).
4*s*(s + 2)*(s + 42)
Suppose -39*p + 22 = -56. Let a(x) be the first derivative of -1/2*x - 1/12*x**3 + 3 - 3/8*x**p. Suppose a(c) = 0. Calculate c.
-2, -1
Let u(r) be the first derivative of 9*r**5/20 - 11*r**4/16 - 4*r**3/3 + r**2/2 + 108. Solve u(d) = 0.
-1, 0, 2/9, 2
Find d, given that 0 + 1/11*d**5 - 2/11*d - 5/11*d**2 + 1/11*d**4 - 3/11*d**3 = 0.
-1, 0, 2
Let l(a) be the second derivative of a**6/120 + 13*a**5/80 - 31*a**4/48 - 13*a**3/24 + 15*a**2/4 + 21*a - 4. Let l(o) = 0. Calculate o.
-15, -1, 1, 2
Suppose -5*y = 2*i + 17, i - 2*y = -i + 18. Suppose 0 = -q + i. Factor -24*s**q + s**3 + 12*s**4 + 11*s**4.
-s**3*(s - 1)
Let g(z) be the first derivative of -z**4 - 32*z**3/3 - 26*z**2 - 24*z + 55. Find w such that g(w) = 0.
-6, -1
Let h(a) be the third derivative of -3/280*a**8 + 0 + 9*a**2 + 0*a**4 - 4/15*a**3 - 1/35*a**7 + 1/60*a**6 + 1/10*a**5 + 0*a. Factor h(f).
-2*(f + 1)**3*(3*f - 2)**2/5
Let u(k) = -7*k**3 - 2*k**2 - k + 2. Let c be u(1). Let z be ((-6)/c)/(1/4). Solve -4/3 + 0*q**2 + 2/3*q**z - 2*q = 0.
-1, 2
Suppose 5*r = -2*c + 4, -2*r + c + 9 = r. Let o(q) = q**2 - q - 4. Let h be o(3). Suppose 5*m - 3*m**h + 2*m + 7*m**r + m = 0. Calculate m.
-2, 0
Suppose -17*k - 197 = -248. Let r(l) be the third derivative of -8/15*l**k + 9*l**2 + 0 + 1/15*l**4 + 0*l - 1/300*l**5. Solve r(t) = 0 for t.
4
Suppose -d = h + 1, 5*h - 2 + 7 = 4*d. Suppose 0 = -d*r + 4*r - 8. Find j, given that 17*j**4 + j**r - 6*j**4 - 8*j**4 + 2*j**2 - 6*j**3 = 0.
0, 1
Factor -720/11*v**2 + 162/11*v**3 - 32/11 + 296/11*v.
2*(v - 4)*(9*v - 2)**2/11
Suppose -7 = 5*s + 18. Let o be (s/(-6))/((-2)/(-12)). Let h**o - 2/3*h - 1/3*h**3 - 5/3*h**4 + 5/3*h**2 + 0 = 0. What is h?
-1, 0, 2/3, 1
Let