3*d**2 + 0*d**5 - 1/1785*d**7 + 1/51*d**3 + 0*d. Factor k(i).
-2*(i - 1)*(i + 1)**3/17
Let u(p) be the first derivative of p**6/33 + 4*p**5/55 - 3*p**4/22 - 16*p**3/33 - 4*p**2/11 + 27. Let u(h) = 0. Calculate h.
-2, -1, 0, 2
Let s = 498 - 494. Factor -5/3*z**s + 2/3*z**3 + 0 - 4*z**5 + 0*z + 0*z**2.
-z**3*(3*z + 2)*(4*z - 1)/3
Let s(k) = -1 + 0 + k + 10. Let f be s(-6). Let 3*m**2 - 2*m**4 - m - 2*m**3 + f*m - m**2 = 0. Calculate m.
-1, 0, 1
Let k = -2 - -2. Factor -2 + 7*l - 3*l - 2*l**2 + k*l + 0*l**2.
-2*(l - 1)**2
Let l(i) be the first derivative of i**4/4 - 14*i**3/3 - 31*i**2/2 - 16*i - 42. Factor l(q).
(q - 16)*(q + 1)**2
Let x(y) be the third derivative of 1/504*y**8 - 1/18*y**5 + 0 - 1/60*y**6 - 1/18*y**4 + 0*y + 0*y**3 + 3*y**2 + 1/315*y**7. Determine a so that x(a) = 0.
-1, 0, 2
Let i(s) be the first derivative of 21*s**2 - 18*s - 1. Let o be i(9). Solve 450*b**4 + 80/3*b - 32/3 - 189*b**5 + 80*b**2 - o*b**3 = 0 for b.
-2/7, 2/3
Let k(h) = 5*h**2 - h. Let n be k(-1). Factor 10*j - 12*j - n*j + 4*j**2 - 12.
4*(j - 3)*(j + 1)
Let f(b) be the first derivative of -b**4/7 + 4*b**3/21 + 9. Factor f(i).
-4*i**2*(i - 1)/7
Let j(y) be the third derivative of -y**6/600 + y**5/20 - 5*y**4/8 + 25*y**3/6 - 4*y**2. Solve j(r) = 0.
5
Let h(g) be the first derivative of -5*g**3/3 + 5*g**2/2 + 10*g + 11. Factor h(d).
-5*(d - 2)*(d + 1)
Let 3*p + p - 7*p + 4*p**3 - 8*p**2 - 9*p = 0. Calculate p.
-1, 0, 3
Let h(z) be the second derivative of z**5/210 - z**4/42 + z**3/21 + 5*z**2/2 + z. Let b(d) be the first derivative of h(d). Determine a so that b(a) = 0.
1
Let x(o) be the first derivative of o**4/4 - 5*o**3/3 + 4*o**2 - 4*o - 6. Factor x(t).
(t - 2)**2*(t - 1)
Find o, given that 144/7*o**2 + 96/7 + 264/7*o - 54/7*o**3 = 0.
-2/3, 4
Let j(x) = x**3 - x**2 - 2. Let r be j(2). Let 3/2*u**r - 3/2 + 15/4*u**3 - 15/4*u = 0. What is u?
-1, -2/5, 1
Suppose -5*z = 3*g + 2*g - 15, 4*g - 12 = 2*z. Let n(t) be the third derivative of z*t**3 + 0 - 1/48*t**4 - 3*t**2 + 1/120*t**5 + 0*t. Factor n(l).
l*(l - 1)/2
Let m(d) be the first derivative of d**7/7 - 2*d**6/15 - 3*d**5/10 + d**4/3 + 5*d - 5. Let i(h) be the first derivative of m(h). Find q such that i(q) = 0.
-1, 0, 2/3, 1
Let l(z) be the third derivative of -z**5/120 - z**4/24 + z**3/4 + 6*z**2. Factor l(n).
-(n - 1)*(n + 3)/2
Suppose 3*z = -0*z. Suppose z = l - 5*l + 16. Determine s so that 4/5*s**3 - 4/5*s**2 + 2/5*s**5 + 6/5*s**l - 6/5*s - 2/5 = 0.
-1, 1
Let p(n) = 4*n**2 - 10*n - 8. Let i(g) = 7*g**2 - 19*g - 15. Let d(u) = -6*i(u) + 11*p(u). Factor d(j).
2*(j + 1)**2
Suppose 20 = -2*z + 7*z. Let w be ((-2)/z)/((-15)/12). Solve 0*t + w - 2/5*t**2 = 0.
-1, 1
Suppose -4*b + 1 = 5*i - 10*i, -2 = -2*i + b. Let r = 1 + -1. Factor r + 0*z + 1/3*z**i + 2/3*z**2.
z**2*(z + 2)/3
Let x(p) = p**3 - 11*p**2 + 2*p + 4. Let z(b) = -b**3 - b**2 + 1. Let w = 4 + -3. Let v(h) = w*x(h) - 4*z(h). Solve v(n) = 0.
0, 2/5, 1
Let m = -223/22 - -11. Let b = -4/11 + m. Factor 0*x - 1/2*x**2 + b.
-(x - 1)*(x + 1)/2
Let x be (-6)/(-2) + (-3 - -1). Let b be x/(-2)*(-2 - -1). Factor 1/4*q + b*q**2 + 0 + 1/4*q**3.
q*(q + 1)**2/4
Let o(d) be the third derivative of -d**8/23520 - d**4/8 + 2*d**2. Let j(q) be the second derivative of o(q). Solve j(c) = 0 for c.
0
Let o(q) be the second derivative of -1/6*q**4 + 5*q + 0*q**2 + 1/6*q**3 + 0 + 1/20*q**5. Factor o(w).
w*(w - 1)**2
Let i(x) = 30*x**2 + 6*x + 3. Let g(b) = b**2 - b + 1. Let m(r) = 9*g(r) - i(r). Factor m(a).
-3*(a + 1)*(7*a - 2)
Suppose 3*t - 5 - 4 = 0. Let b = 1 + t. Factor -q**4 + 2*q**3 - q**b + 2*q**3 - 6*q**3.
-2*q**3*(q + 1)
What is s in 4/5*s**3 - 1/5*s**4 + 2/5*s + 0 - s**2 = 0?
0, 1, 2
Let q(n) = -31*n + 282. Let r be q(9). Let 0 + 34/11*j**4 + 8/11*j**2 + 0*j + 32/11*j**r + 10/11*j**5 = 0. What is j?
-2, -1, -2/5, 0
Suppose -6 = -4*i + 14, 5*q + 4*i + 75 = 0. Let s be ((-38)/q)/((-4)/(-6)). Factor -1/3*y**s + 0 + 0*y + 1/3*y**2.
-y**2*(y - 1)/3
Let k = 12 - 4. Suppose 4*h = -d - 3*d - k, 0 = -5*h - 25. Determine x, given that -4*x**4 + 10*x**5 + 9*x**3 - 9*x**d = 0.
0, 2/5
Let c(k) be the second derivative of -1/27*k**3 - 1/9*k**2 - 2*k + 1/27*k**4 + 0 - 1/135*k**6 + 1/45*k**5 - 1/189*k**7. Find y, given that c(y) = 0.
-1, 1
Let w = 3 - 4. Let i = w + 4. Suppose 0*b**2 - 3*b - b**2 + 2*b + b**i - 2 + 3 = 0. What is b?
-1, 1
Suppose -23*i**3 + 4*i + 25*i**3 - 4*i + 4*i**4 = 0. Calculate i.
-1/2, 0
Let j(x) = -16*x - 61. Let t be j(-4). Factor 10/7*l**4 + 0*l + 8/7*l**5 + 0 + 2/7*l**t + 0*l**2.
2*l**3*(l + 1)*(4*l + 1)/7
Suppose 2*i - 6 = i. Suppose -y + i = -0*y. Let -4*j - 5*j**4 + y*j**2 + 2*j**2 - j**3 + 6*j**3 + 2*j**3 = 0. What is j?
-1, 0, 2/5, 2
Let f = 12 + -2. Suppose -4*a - 2 = -f. Factor 1/3*v**3 + 0*v + 0 - 1/3*v**a.
v**2*(v - 1)/3
Suppose 5*b - 20 = 0, 3*h - 10 = -2*b + b. Suppose h*g**2 - g - 3*g**3 + g - 5*g**2 = 0. What is g?
-1, 0
Let a(p) be the third derivative of -p**11/2661120 + p**10/1209600 + 3*p**5/20 + 4*p**2. Let u(o) be the third derivative of a(o). Factor u(z).
-z**4*(z - 1)/8
Let v(k) = -2*k**2 + 7*k - 6. Let j be v(2). Let r(f) be the second derivative of 1/24*f**4 - 3*f + 1/2*f**2 + 1/4*f**3 + j. Factor r(i).
(i + 1)*(i + 2)/2
Let p(j) be the third derivative of j**7/273 + j**6/390 - j**5/26 + j**4/39 + 4*j**3/39 - 52*j**2. Solve p(h) = 0.
-2, -2/5, 1
Let l(c) be the first derivative of 0*c - 1 + c**2 - 1/60*c**5 - 1/24*c**4 - 1/18*c**3 - 1/360*c**6. Let i(q) be the second derivative of l(q). Factor i(g).
-(g + 1)**3/3
Let w be -2 - 19*3/(-27). Let r(s) be the first derivative of 0*s**2 - 2/9*s**3 + w*s**6 - 1/6*s**4 - 1 + 0*s + 2/15*s**5. Factor r(u).
2*u**2*(u - 1)*(u + 1)**2/3
Let o = 2165/4 - 541. Factor 0*q + 1/4*q**5 + 0 - o*q**4 + 1/4*q**2 - 1/4*q**3.
q**2*(q - 1)**2*(q + 1)/4
Let b(q) be the second derivative of -9*q**5/20 - q**4/2 + 3*q**3/2 + 3*q**2 + 28*q. Find o such that b(o) = 0.
-1, -2/3, 1
Let q be (-8)/(-30) - (-12)/36. What is b in 0*b + q*b**2 + 0 = 0?
0
Let r be (-1 - -4) + (-6)/(-4) + -4. Factor r*z**2 + 0 + 1/2*z.
z*(z + 1)/2
Let j(n) be the third derivative of -n**6/900 - n**5/150 + 4*n**3/45 + 11*n**2. Determine i, given that j(i) = 0.
-2, 1
Let b(y) be the second derivative of -y**7/5040 + y**6/720 - y**5/240 + 2*y**4/3 + 2*y. Let o(u) be the third derivative of b(u). Factor o(x).
-(x - 1)**2/2
Factor -2/3 + 2*b**2 - 4/3*b.
2*(b - 1)*(3*b + 1)/3
Suppose -2 = -2*o, k + 8*o = 5*o + 7. Suppose -2*i - 9*i**4 - 3*i**4 - 8*i**3 - 22*i**3 + 16*i**2 - 4*i**k + 32*i**5 = 0. Calculate i.
-1, 0, 1/4, 1
Let h(z) be the third derivative of 0*z - z**2 + 0 + 1/6*z**3 + 1/60*z**5 + 1/12*z**4. Factor h(u).
(u + 1)**2
Let d(p) = -15*p**2 + 142*p - 8. Let g(m) = 5*m**2 - 47*m + 3. Let x(y) = 3*d(y) + 8*g(y). Suppose x(r) = 0. What is r?
0, 10
Solve -2/5*h**4 - 2/5 + 0*h**3 + 4/5*h**2 + 0*h = 0.
-1, 1
Let c(i) be the first derivative of i**3/9 - 7*i**2/12 - 2*i/3 - 47. Suppose c(s) = 0. What is s?
-1/2, 4
Suppose -5*z - 3*k = -35, -6*k = -3*z - k - 13. Let d(u) be the first derivative of 5/4*u**2 + 3/8*u**z - 1/2*u - 7/6*u**3 + 1. Determine i so that d(i) = 0.
1/3, 1
Suppose 17*g**3 + 2 + 17*g**2 - 30*g**3 - 20*g + 9*g**3 + 2 = 0. Calculate g.
1/4, 2
Suppose 0 + 15*v + 6*v**2 + 3/5*v**3 = 0. Calculate v.
-5, 0
Let x(b) be the third derivative of 1/1050*b**7 - 1/120*b**4 + 0*b**3 + 0 + 1/600*b**6 - 5*b**2 - 1/300*b**5 + 0*b. Suppose x(z) = 0. What is z?
-1, 0, 1
Let z(b) = 5*b**3 - 13*b**2 + 13*b - 8. Let w(g) = -4*g**3 + 12*g**2 - 14*g + 8. Let t(r) = 3*w(r) + 2*z(r). Determine c, given that t(c) = 0.
1, 2
Let l(m) be the third derivative of 1/4*m**4 + 0 - 2/15*m**3 - 14/75*m**5 + 4*m**2 + 0*m. Factor l(w).
-2*(4*w - 1)*(7*w - 2)/5
Let o = 1823 + -437519/240. Let z(d) be the third derivative of -2*d**2 - o*d**6 + 0 + 0*d**3 - 1/60*d**5 + 0*d - 1/48*d**4. Solve z(v) = 0.
-1, 0
Let o = 346/15 - 23. Let g(m) be the second derivative of 0 - 1/5*m**5 + 1/6*m**4 - m + 0*m**3 + 0*m**2 + o*m**6. Factor g(k).
2*k**2*(k - 1)**2
Factor -1/4*o**2 - 1/2*o + 3/4.
-(o - 1)*(o + 3)/4
Let r be ((-15)/10)/((-8)/4). Let 3/4*p**2 + 1/4 + r*p + 1/4*p**3 = 0. Calculate p.
-1
Let t(f) = -7*f**3 - 2*f**2 - f. Let r be t(-1). Suppose -r*l = -3 - 9. Factor 0 - 2/5*p**4 + 0*p + 2/5*p**l + 0*p**3.
-2*p**2*(p - 1)*(p + 1)/5
Solve -9/7*o + 6/7 + 0*o**2 + 