1/630*b**7 + 0*b - 5/18*b**4 + 1/10*b**5 + 0 + 2*b**2. Factor f(y).
(y - 2)**3*(y - 1)/3
Let s(o) be the third derivative of -o**6/1800 + 5*o**3/3 + 5*o**2. Let g(k) be the first derivative of s(k). Factor g(m).
-m**2/5
Let j(k) be the second derivative of -k**6/30 + k**4/6 - k**2/2 + 3*k. Suppose j(l) = 0. Calculate l.
-1, 1
Let z(o) be the first derivative of 1/3*o**3 + 0*o - 2 - 1/8*o**4 + 0*o**2. Find n such that z(n) = 0.
0, 2
Let a(l) be the first derivative of l**7/63 + l**6/45 - l**5/30 - l**4/18 - l + 4. Let k(r) be the first derivative of a(r). Factor k(v).
2*v**2*(v - 1)*(v + 1)**2/3
Let v(p) = p + 1. Let o be v(4). Suppose 0 = 2*f - 1 - o. Find l such that -1/4*l**f + 0 + 1/4*l + 1/4*l**4 - 1/4*l**2 = 0.
-1, 0, 1
Let c(k) be the first derivative of -5 + 1/26*k**4 + 0*k**3 - 1/13*k**2 + 0*k. Factor c(p).
2*p*(p - 1)*(p + 1)/13
Let u(i) = -47*i**2 - 44*i + 3. Let r(l) = 140*l**2 + 132*l - 8. Let q(x) = 5*r(x) + 16*u(x). Factor q(y).
-4*(y + 1)*(13*y - 2)
Let y(m) be the first derivative of -m**6/30 + 3*m**5/25 - m**4/10 - 2*m**3/15 + 3*m**2/10 - m/5 - 6. Factor y(c).
-(c - 1)**4*(c + 1)/5
Let u(q) = -3*q**4 - 2*q. Let c(w) = 14*w**4 - w**3 + 11*w. Let o(j) = -4*c(j) - 22*u(j). Find z such that o(z) = 0.
-2/5, 0
Let 2/3*o + 0 - 2/3*o**2 = 0. Calculate o.
0, 1
Let l(o) = 6*o**5 + 3*o**4 - 5*o**3 - 3*o**2 - o. Let b(c) = -5*c**5 - 2*c**4 + 5*c**3 + 2*c**2. Let i(n) = -4*b(n) - 3*l(n). Let i(m) = 0. What is m?
-1, 0, 1, 3/2
Let f(t) be the second derivative of t + 0 - 1/10*t**5 + 1/6*t**4 + 0*t**3 + 0*t**2. Determine k so that f(k) = 0.
0, 1
Let y(x) be the second derivative of 5*x**7/56 - 19*x**6/20 + 267*x**5/80 - 3*x**4 - 9*x**3/2 + 23*x. Determine w so that y(w) = 0.
-2/5, 0, 2, 3
Let g(m) be the first derivative of m**4/6 - 2*m**3/9 - m**2/3 + 2*m/3 + 1. What is r in g(r) = 0?
-1, 1
Let y(p) be the third derivative of -p**6/120 + p**5/30 - p**4/24 - 7*p**2. Factor y(w).
-w*(w - 1)**2
Let h(j) = -3*j**2 - 60*j - 75. Let t(d) = 2*d. Let q(o) = -h(o) - 15*t(o). Determine l, given that q(l) = 0.
-5
Factor -3*y - 2*y + 4 - 3*y + 6*y**2 - 2*y**2.
4*(y - 1)**2
Let d(n) = -n**3 + 10*n**2 + 12*n - 8. Let r be d(11). Let s(o) be the first derivative of 1/2*o**2 - 3 + 1/6*o**r + 1/2*o. Factor s(g).
(g + 1)**2/2
Let l(c) be the first derivative of -c**7/70 - 3*c**6/40 - 3*c**5/20 - c**4/8 - c**2 - 1. Let a(r) be the second derivative of l(r). Factor a(s).
-3*s*(s + 1)**3
Let f(i) be the second derivative of 2*i + 0 + 1/42*i**4 - 1/21*i**3 - 1/7*i**2 + 1/70*i**5. Solve f(z) = 0.
-1, 1
Let x = -11 + 17. Let a(g) be the second derivative of -1/10*g**5 + 0 + 1/2*g**2 - g - 1/30*g**x + 1/3*g**3 + 0*g**4. Factor a(c).
-(c - 1)*(c + 1)**3
Let w be (0 - (-2)/3)*15/35. Let x(j) = -j**2 + j + 2. Let g be x(0). Determine a, given that 2/7*a**g + 0 - 2/7*a**3 + 2/7*a**5 + 0*a - w*a**4 = 0.
-1, 0, 1
Let z(o) = -2*o**3 + 3*o**2 + 2*o + 3. Let d be (6/4)/((-12)/(-32)). Let p(i) = 0 + d - 3*i**3 + 10*i - 7*i + 4*i**2. Let n(m) = 3*p(m) - 4*z(m). Factor n(t).
-t*(t - 1)*(t + 1)
Factor -108*m**4 - 148*m**2 + 15*m**3 - 27*m**5 - 186*m**3 + 14*m**2 - 8 - 52*m.
-(m + 1)**2*(3*m + 2)**3
Let p(h) be the third derivative of -h**5/60 - h**4/8 + h**3/3 - h**2. Let r be p(-2). Suppose 4*s - r*s + 1 - s**2 = 0. What is s?
-1, 1
Let d be (5/10)/((-10)/(-15)). What is w in -3/4*w - 1/4 - 1/4*w**3 - d*w**2 = 0?
-1
Let n(i) = i**4 + i**3 + i**2 + i + 1. Let l(s) = 9*s**4 + 8*s**3 - 3*s**2 - 6*s + 2. Let t(h) = -l(h) + 6*n(h). Let t(w) = 0. What is w?
-1, -2/3, 2
Let q(c) = -c**3 + 5*c**2 + 3*c - 4. Let k be q(4). Let p = 97/4 - k. Find y, given that -1/2*y - p*y**2 - 1/4 = 0.
-1
Let z be (-1)/(2*5/(-30)). Suppose -2*l - 5*o - 3 = 0, l - o = -3*l + 27. What is b in b**4 - l*b**3 - z*b**2 - 2 + 2 - 4*b**4 = 0?
-1, 0
What is l in -3/7*l**3 - 9/7*l - 3/7 - 9/7*l**2 = 0?
-1
Let x = -15 + 36. Suppose -2*z = -t + 3*z - x, 3*z + 1 = 4*t. Factor 2/7*w + 8/7*w**t + 0 + 12/7*w**3 + 2/7*w**5 + 8/7*w**2.
2*w*(w + 1)**4/7
Let l(q) be the second derivative of -2*q**7/63 + q**6/10 - q**5/10 + q**4/36 + 9*q. Determine o, given that l(o) = 0.
0, 1/4, 1
Let j(n) be the third derivative of n**7/630 + n**6/720 + n**4/8 + n**2. Let b(o) be the second derivative of j(o). Factor b(s).
s*(4*s + 1)
Let w(b) be the second derivative of b**5/4 - 5*b**3/2 + 5*b**2 - 9*b. Factor w(q).
5*(q - 1)**2*(q + 2)
Let t(v) = 5*v**3 - 4*v**2 - 11*v + 10. Let u(f) = -10*f**3 + 9*f**2 + 21*f - 20. Let x(q) = -11*t(q) - 6*u(q). Factor x(m).
5*(m - 2)*(m - 1)*(m + 1)
Let g(z) be the second derivative of -3*z**5/160 - 3*z**4/32 - 15*z. Factor g(c).
-3*c**2*(c + 3)/8
Let b = -35 + 38. Let q(t) be the second derivative of 1/9*t**b - 2*t + 1/6*t**2 + 0 - 2/9*t**4. Factor q(s).
-(2*s - 1)*(4*s + 1)/3
Let v(h) = -375*h**3 + 1615*h**2 - 970*h - 340. Let t(p) = -22*p**3 + 95*p**2 - 57*p - 20. Let b(i) = -35*t(i) + 2*v(i). Factor b(j).
5*(j - 4)*(j - 1)*(4*j + 1)
Let f be (-6)/63*(-6)/1. Let u be (-2)/16*-4*4. Suppose 0 + 2/7*w**u + f*w = 0. Calculate w.
-2, 0
Let i be 6/3 - (0 - (-2 - 0)). Factor 0*l**2 + 4/3*l + i - 1/3*l**4 - l**3.
-l*(l - 1)*(l + 2)**2/3
Let f(q) = -5*q**2 + 21*q + 6. Let k(w) = -w**2 + 4*w + 1. Let h(b) = 2*f(b) - 11*k(b). Solve h(j) = 0 for j.
1
Let v(f) be the first derivative of f**4/10 + 2*f**3/15 - 2*f**2/5 - 15. Solve v(m) = 0 for m.
-2, 0, 1
Determine x, given that 1/4 + 0*x - 1/4*x**2 = 0.
-1, 1
Determine b so that 6/7*b**4 + 0*b + 0 + 8/7*b**2 + 16/7*b**3 = 0.
-2, -2/3, 0
Let g(p) be the first derivative of -p**7/315 - p**6/90 + p**4/18 + p**3/9 - 5*p**2/2 - 6. Let u(q) be the second derivative of g(q). Factor u(b).
-2*(b - 1)*(b + 1)**3/3
Let j(b) = -8*b - 1. Let d be j(-2). Let k be 0 - (d/6)/(-5). Factor k*i**4 + 0 - 3/2*i**3 - 1/2*i + 3/2*i**2.
i*(i - 1)**3/2
Factor -9 + 48*a - 6 + 24 + 15*a**2.
3*(a + 3)*(5*a + 1)
Let k(f) be the third derivative of -f**6/420 - f**5/35 - 3*f**4/28 - 4*f**3/21 - 8*f**2. Solve k(u) = 0 for u.
-4, -1
Suppose -m = -0*g - 2*g - 6, -2*m + 5*g = -14. Factor -5*z**4 + z**5 + m*z**2 - 2*z**4 + 5*z**4 - z.
z*(z - 1)**3*(z + 1)
Let d(f) be the first derivative of -1/4*f**4 + 1/5*f**5 + 1/2*f**2 + 0*f - 1/3*f**3 - 2. Factor d(h).
h*(h - 1)**2*(h + 1)
Let q be (-18)/(1 - 4/2). Let r = q - 11. Suppose 0*a**2 + 18*a**3 - 1 - r - 16*a + 6*a**2 = 0. Calculate a.
-2/3, 1
Suppose -2 = -5*j + 18. Find o such that o**4 - j*o**4 + 9*o**2 - 3 - 3*o**2 = 0.
-1, 1
Let t be (82/(-4) + 3)*4. Let f = t - -351/5. Factor -3/5*z + f + 3/5*z**2 - 1/5*z**3.
-(z - 1)**3/5
Let h = -15 + 17. Factor 16*a**h - 18 - 4*a**2 - 16 - 12*a + 37.
3*(2*a - 1)**2
Let t(u) be the first derivative of -u**5 - 25*u**4/4 - 5*u**3 + 25*u**2/2 + 20*u + 7. Factor t(d).
-5*(d - 1)*(d + 1)**2*(d + 4)
Let t(b) be the first derivative of b**5/60 - b**4/10 + 2*b**3/15 + b**2/2 - 4. Let s(l) be the second derivative of t(l). Factor s(f).
(f - 2)*(5*f - 2)/5
Let k(y) be the first derivative of -y**7/105 - y**6/20 - y**5/10 - y**4/12 + 3*y**2/2 + 4. Let q(f) be the second derivative of k(f). Factor q(w).
-2*w*(w + 1)**3
Suppose 2/3*c**4 + 1/3*c**5 - 2/3*c**3 + 2/3 + 1/3*c - 4/3*c**2 = 0. What is c?
-2, -1, 1
Let m(g) = g**3 - g - 2. Let s(c) = -5*c**3 + 5*c + 11. Let v(o) = 11*m(o) + 2*s(o). Factor v(u).
u*(u - 1)*(u + 1)
Let z(w) be the third derivative of -1/30*w**5 + 0*w**4 + 0 - 1/105*w**7 + 1/30*w**6 + 0*w**3 + w**2 + 0*w. Let z(x) = 0. Calculate x.
0, 1
Let j(z) = -69*z**3 + z. Let q be j(1). Let s = -202/3 - q. Suppose -8/3 + 0*x + 2*x**2 - s*x**3 = 0. What is x?
-1, 2
Let h be 14/28 + (-1 - 26/(-36)). Factor -2/9*m**2 + 4/9 + h*m.
-2*(m - 2)*(m + 1)/9
Let g(y) be the second derivative of -19*y**5/5 - 40*y**4/3 - 46*y**3/3 - 4*y**2 - 38*y. Let g(v) = 0. Calculate v.
-1, -2/19
Let h(j) be the first derivative of 3 + 1/9*j**3 + 2/3*j - 1/2*j**2. Determine k, given that h(k) = 0.
1, 2
Suppose 2/11*z**2 + 0 + 2/11*z = 0. What is z?
-1, 0
Let h(f) be the first derivative of f**7/70 + f**6/20 - f**4/4 - f**3/2 - 5*f**2/2 + 5. Let b(y) be the second derivative of h(y). Factor b(r).
3*(r - 1)*(r + 1)**3
Let m(o) = -85*o**3 - 2*o**2 - o. Let l be m(-1). Let q be ((-6)/l)/(2/(-160)). Factor -8/7 - 50/7*j**2 - q*j.
-2*(5*j + 2)**2/7
Let k be 1/4*(4 + -186). Let c = k - -47. Factor -3/2 + c*v**2 + 3/4*v - 3/4*v**3.
-3*(v