en that 0 - 6/5*b**3 + 0*b**2 - i*b**4 + 8/5*b = 0.
-2, 0, 1
Let s(g) be the first derivative of -g**5/150 - g**4/30 - g**3/15 - g**2 - 3. Let p(b) be the second derivative of s(b). Factor p(c).
-2*(c + 1)**2/5
Factor 8/5 + 0*f - 2/5*f**2.
-2*(f - 2)*(f + 2)/5
Let x(k) be the first derivative of -k**3/9 - 2*k**2/3 - 4*k/3 + 2. Factor x(y).
-(y + 2)**2/3
Let o(h) be the first derivative of 1/18*h**3 - 2*h + 1/3*h**2 - 1/36*h**4 + 3. Let n(k) be the first derivative of o(k). Factor n(i).
-(i - 2)*(i + 1)/3
Let g(l) be the third derivative of -l**6/120 + l**5/10 - 3*l**4/8 + l**3 - 6*l**2. Let w be g(4). Factor -1/3*y - 1/3*y**4 + 1/3*y**3 + 1/3*y**w + 0.
-y*(y - 1)**2*(y + 1)/3
Let n(l) be the third derivative of 5*l**8/336 + l**7/42 - l**6/12 - l**5/6 + 5*l**4/24 + 5*l**3/6 + 17*l**2. Factor n(x).
5*(x - 1)**2*(x + 1)**3
Factor 49/3*s**4 + 28/3*s**3 - 28/3*s - 4/3 - 15*s**2.
(s - 1)*(s + 1)*(7*s + 2)**2/3
Let n(w) be the first derivative of -1/20*w**4 + 3/10*w**2 + 0*w**3 + 2 + 2/5*w. Let n(c) = 0. Calculate c.
-1, 2
Let y be 1*(21/(-6) - -4). Factor y*h**3 - 1/2*h + 0*h**2 + 0.
h*(h - 1)*(h + 1)/2
Let 10/3*t**3 + 8/3*t**4 + 0*t + 0 + 4/3*t**2 + 2/3*t**5 = 0. Calculate t.
-2, -1, 0
Suppose 0 = -2*q + 3*i - 6, 2*q - 1 = i + 1. Find k such that 2*k**5 - k**2 - q*k**5 + 5*k**4 + k**3 - 4*k**4 = 0.
-1, 0, 1
Factor -3*s**4 + 46*s**2 - 10*s**2 + 22*s**3 - 19*s**3.
-3*s**2*(s - 4)*(s + 3)
Let b be (0 - 1)*0/(-1). Let w(r) be the second derivative of b*r**2 + 0 + 0*r**4 + 1/18*r**3 - r + 1/126*r**7 + 0*r**6 - 1/30*r**5. What is y in w(y) = 0?
-1, 0, 1
Let n(x) be the third derivative of -x**6/60 + x**4/12 - 10*x**2. Factor n(d).
-2*d*(d - 1)*(d + 1)
Let d(z) be the first derivative of 7*z**5/25 + 33*z**4/20 + 46*z**3/15 + 6*z**2/5 - 8*z/5 + 8. Find f, given that d(f) = 0.
-2, -1, 2/7
Let b(z) be the third derivative of 3*z**2 + 1/6*z**3 + 0 + 1/24*z**4 + 0*z + 1/240*z**5. Factor b(c).
(c + 2)**2/4
Let l(n) be the second derivative of n**10/15120 + n**9/7560 - n**4/12 + 4*n. Let i(d) be the third derivative of l(d). Factor i(t).
2*t**4*(t + 1)
Let y(p) = 8*p**4 + 4*p**3 + 4*p**2 + 8*p. Let d(i) = 15*i**4 + 9*i**3 + 9*i**2 + 15*i. Let x(s) = 5*d(s) - 9*y(s). Factor x(n).
3*n*(n + 1)**3
Let b be (-4)/6 - (-42)/9. Find h, given that 0*h + 1/3 - 2/3*h**2 + 0*h**3 + 1/3*h**b = 0.
-1, 1
Let o(n) = 2*n**5 + 15*n**4 + 20*n**3 + 20*n**2 + 10*n - 3. Let w(k) = -k**4 + 1. Let s(p) = o(p) + 5*w(p). Factor s(j).
2*(j + 1)**5
Let n = -351/28 - -51/4. Let b = n - -2/7. Solve 0 - 1/2*k**2 + b*k = 0 for k.
0, 1
Let p be (-165)/(-45) + 7/(-3). Factor -p*r**2 + 2/3*r + 4/3 - 2/3*r**3.
-2*(r - 1)*(r + 1)*(r + 2)/3
Let v(f) be the first derivative of 4*f**3/3 + 28. Factor v(d).
4*d**2
Let 2/9*j - 1/9*j**2 - 1/9 = 0. What is j?
1
Factor 0 + 2/3*j**3 + 2/3*j**2 + 0*j.
2*j**2*(j + 1)/3
Let r be 35/10 - 3/2. Factor -6*l**2 + 6*l + 2*l**2 + l**r.
-3*l*(l - 2)
Find q such that 0*q - 6*q - 10 + 4*q + 2*q**3 + 10*q**2 = 0.
-5, -1, 1
Let q(c) = -c**2 - 7*c - 4. Let x be q(-7). Let v = 7 + x. Determine w so that 0*w**v - 4 - 5*w**3 + 7*w**2 + 2*w**3 = 0.
-2/3, 1, 2
Let m(q) be the first derivative of q**5/10 + q**4/2 + 5*q**3/6 + q**2/2 - 14. Factor m(g).
g*(g + 1)**2*(g + 2)/2
Let f(i) be the second derivative of -i**6/15 + i**5/2 - i**4 - 4*i**3/3 + 8*i**2 - 3*i. Factor f(a).
-2*(a - 2)**3*(a + 1)
Let b be 2/(-3) + 8/8. Let c(m) be the second derivative of -2*m - 1/12*m**4 + 0*m**2 + 0 - b*m**3. Find d such that c(d) = 0.
-2, 0
Suppose 0 = -8*b + 9*b + 1. Let y be ((-6)/(-4))/b*-2. Suppose n**y + 1/3*n**2 + 0 + 1/3*n**5 + n**4 + 0*n = 0. What is n?
-1, 0
Let v(w) be the third derivative of w**8/224 - 3*w**6/80 + w**5/20 - 8*w**2. Factor v(f).
3*f**2*(f - 1)**2*(f + 2)/2
Let b be -1 + ((-36)/(-2))/(-2). Let z(q) = -q**2 - 10*q. Let a be z(b). Determine s so that 5*s**3 - 9*s**4 + 1 + a*s**2 - 6*s + 8*s**2 + s**3 = 0.
-1, 1/3, 1
Factor 4*k**2 + 2*k**3 + 100 - 100.
2*k**2*(k + 2)
Suppose -2*a + 33 = -0*p + 3*p, -a = -p - 4. Suppose -4*q = 1 - a. Let -q + 2*f**3 + 2*f + 4*f**2 + 2 = 0. Calculate f.
-1, 0
Let f = -81/4 - -477/20. Let a be 6/7*(-42)/(-9). Determine j, given that -2*j**2 - 4/5*j + 2*j**a + 0 - 14/5*j**5 + f*j**3 = 0.
-1, -2/7, 0, 1
Let g(x) = -x**2 + 2*x + 10. Let q be g(4). Let f(j) be the first derivative of 8/9*j + 50/27*j**3 - 20/9*j**q - 1. Find a such that f(a) = 0.
2/5
Find l, given that -2/9*l**4 + 0 + 0*l + 2/9*l**2 + 0*l**3 = 0.
-1, 0, 1
Let y be (-52)/(-18) - 12/(-108). Suppose 0 = -5*r + 3*w + 19 + 15, 0 = -2*w - 6. Factor 3/4*x**y + 0 - 3/4*x**4 + 3/4*x**2 - 3/4*x**r + 0*x.
-3*x**2*(x - 1)*(x + 1)**2/4
Let j be (-15)/9 + 1 + 2. Suppose -2/3*b**3 + 0 - j*b**2 - 2/3*b = 0. Calculate b.
-1, 0
Let g be 10/(-12) + (-18)/(-60)*5. Factor g - 4/3*l + 2/3*l**2.
2*(l - 1)**2/3
Let u(l) be the second derivative of l**4/36 - l**2/6 - 2*l. Factor u(w).
(w - 1)*(w + 1)/3
Let b = -517 + 1553/3. Factor 8/3*h**3 + 0 + b*h**4 + 8/3*h**2 + 0*h.
2*h**2*(h + 2)**2/3
Let j(d) be the first derivative of -d**6/60 - 3*d**5/40 + d**3/3 + 2*d - 7. Let s(p) be the first derivative of j(p). Determine l so that s(l) = 0.
-2, 0, 1
Find c, given that -72*c**2 - 45/2*c**3 - 9 - 105/2*c + 6*c**4 = 0.
-1, -1/4, 6
Solve 2/13*b**3 - 2/13*b**5 + 4/13*b**2 + 0 - 4/13*b**4 + 0*b = 0.
-2, -1, 0, 1
Let b(f) be the second derivative of 5*f**6/12 - f**5/8 - 11*f**4/4 - 11*f**3/3 - 2*f**2 - 3*f. Find j, given that b(j) = 0.
-1, -2/5, 2
Let c(p) be the first derivative of -1/2*p**6 + 0*p**3 + 12/5*p**5 - 9/4*p**4 + 0*p**2 + 5 + 0*p. Factor c(b).
-3*b**3*(b - 3)*(b - 1)
Let q = -1 + 2. Let a(y) = -y**3 - y. Let w(d) = -2*d**2 - d. Let v(u) = q*a(u) - w(u). Factor v(o).
-o**2*(o - 2)
Let m(a) be the second derivative of -a**6/60 + 3*a**5/40 - a**4/8 + a**3/12 + 6*a. Find p, given that m(p) = 0.
0, 1
Let d = 104 + -101. Let b(l) be the second derivative of 0 + 0*l**d - 1/18*l**4 - 2*l + 1/3*l**2. Find t such that b(t) = 0.
-1, 1
Let r(y) be the first derivative of 8/3*y + 2/9*y**3 + 4/3*y**2 + 3. Factor r(b).
2*(b + 2)**2/3
Suppose 0 = 5*y + 15, 2*f - 6 = f + y. Let c = -133 + 267/2. Let 1/6*o**f + 1/2*o - 1/6 - c*o**2 = 0. Calculate o.
1
Suppose 20*w**2 - 8*w**2 + 6 - w**3 - 15*w - 2*w**3 = 0. What is w?
1, 2
Suppose -3*z = -13 + 7. Let p(x) = -12*x**2 - 24*x. Let y(q) = -3*q**2 - 6*q. Let n(t) = z*p(t) - 9*y(t). Factor n(u).
3*u*(u + 2)
Suppose -2*o = 3*w + 2*w - 6, o = 2*w + 3. Let 4*m**2 - 2*m**o - 4*m**2 + 4*m**2 - 3*m**2 = 0. Calculate m.
0, 1/2
Let w(o) = o**2 - 4*o - 3. Let g be w(5). Let i = 4 - g. Let c**3 - 2*c - i*c**2 + c + 2*c = 0. Calculate c.
0, 1
Suppose 5*k - 3 = -0*l + 3*l, 0 = -k - 5*l - 5. Let b(q) be the first derivative of 0*q**2 - 1/2*q**4 - 2 + k*q - 2/3*q**3. Find y such that b(y) = 0.
-1, 0
Let a(r) be the first derivative of -r**6/180 + r**4/12 - 4*r**3/3 + 3. Let u(o) be the third derivative of a(o). Factor u(k).
-2*(k - 1)*(k + 1)
Let f(d) = d**2 - d + 3. Let k be f(0). Let j(u) be the first derivative of 0*u**2 - 2/35*u**5 + 2/21*u**k - 2 + 0*u**4 + 0*u. Find b, given that j(b) = 0.
-1, 0, 1
Let i(v) be the second derivative of 0 + 2/7*v**2 + 0*v**4 - 1/70*v**5 - v + 1/7*v**3. What is y in i(y) = 0?
-1, 2
Let o(g) be the third derivative of -g**5/12 + 5*g**4/24 - 15*g**2. Factor o(m).
-5*m*(m - 1)
Let g(t) = -t**3 + 2*t**2 + 2*t - 2. Suppose b - 2*b + 2 = 0. Let h be g(b). Let 7 + 2*n - 4*n**h - 3 - 4*n**2 - 6*n**3 = 0. Calculate n.
-1, 2/3
Suppose 11 = 2*r - 5*g, 3*g = 5*g - 2. Solve h**4 + 9*h**3 - 3*h + r*h**4 - 3*h**4 = 0.
-1, 0, 1/2
Let d(f) be the second derivative of f**6/6 + 3*f**5/5 + 3*f**4/4 + f**3/3 - 3*f. Determine s, given that d(s) = 0.
-1, -2/5, 0
Factor 0*v**2 + 0*v - 2/3*v**5 - 2/3*v**3 + 0 + 4/3*v**4.
-2*v**3*(v - 1)**2/3
Let q = 27 - 404/15. Let z(t) be the third derivative of q*t**6 + 1/105*t**7 + 1/3*t**4 - 2*t**2 + 1/3*t**3 + 1/5*t**5 + 0 + 0*t. Find v, given that z(v) = 0.
-1
Let j = 21 + -21. Let d(o) be the second derivative of 0 + j*o**2 - 7/40*o**5 + 1/20*o**6 - 1/12*o**3 + 5/24*o**4 + o. Determine v so that d(v) = 0.
0, 1/3, 1
Suppose 0 = 3*d - d. Let z(m) be the third derivative of d*m + m**2 - 1/18*m**3 + 5/72*m**4 - 1/45*m**5 + 0. Find h such that z(h) = 0.
1/4, 1
Let o be (10/(-35))/(((-80)/28)/4). Factor 1/5*j**5 - 3/5*j - 3/5*j**4 + o*j*