= 0.
0, 1/3
Let x = -6 + 9. Factor -i**2 + 0*i**3 + 2*i + 3*i**3 - i**3 - x*i**3.
-i*(i - 1)*(i + 2)
Let g(h) be the third derivative of h**9/10080 - h**8/5040 - h**7/840 + h**6/180 - h**5/20 - 4*h**2. Let l(j) be the third derivative of g(j). Factor l(q).
2*(q - 1)*(q + 1)*(3*q - 2)
Let y(f) be the third derivative of f**5/75 + f**4/10 + 4*f**3/15 + f**2. Let y(r) = 0. What is r?
-2, -1
Let i(u) be the first derivative of -2*u**6 - 51*u**5/5 - 21*u**4 - 22*u**3 - 12*u**2 - 3*u + 2. Factor i(s).
-3*(s + 1)**4*(4*s + 1)
Let b(d) = 10*d + 5. Let f(w) = -w**3 + 11*w + 6. Let q(n) = -4*b(n) + 5*f(n). Solve q(c) = 0.
-1, 2
Let f(v) be the third derivative of v**6/120 + v**4/24 + v**3 - v**2. Let o be f(0). Factor 0*p + 2 + 2*p**2 + o - 8*p.
2*(p - 2)**2
Let t(l) be the first derivative of 2*l**3/3 - 5*l**2/3 + 4*l/3 - 2. Factor t(p).
2*(p - 1)*(3*p - 2)/3
Factor -1/6*w + 0*w**2 + 1/3*w**3 - 1/6*w**5 + 0*w**4 + 0.
-w*(w - 1)**2*(w + 1)**2/6
Let z(n) be the first derivative of -n**6/45 + 2*n**5/15 - 2*n**4/9 + 2*n - 2. Let f(u) be the first derivative of z(u). Factor f(v).
-2*v**2*(v - 2)**2/3
Let g = -19/8 + 165/56. Factor 0 - g*u + 2/7*u**2.
2*u*(u - 2)/7
Let m(o) be the first derivative of o**7/21 - o**5/5 + o**3/3 - 5*o - 3. Let r(y) be the first derivative of m(y). Suppose r(c) = 0. Calculate c.
-1, 0, 1
Suppose -4*m - 4*t + 8 = 0, 2*t = 5*m + 3 - 13. Determine s, given that -2/3*s + 0 - 4/3*s**m - 2/3*s**3 = 0.
-1, 0
Let y(r) be the third derivative of -r**7/105 - r**6/30 + r**5/30 + r**4/6 + 7*r**2 + 1. Factor y(z).
-2*z*(z - 1)*(z + 1)*(z + 2)
Solve 2/11*s**2 - 2/11*s**3 + 0*s + 0 = 0 for s.
0, 1
Let x(r) be the first derivative of r**6/42 + 4*r**5/35 + r**4/7 - 2*r**3/21 - 5*r**2/14 - 2*r/7 - 14. Determine o so that x(o) = 0.
-2, -1, 1
Suppose 7*d + 1 = 29. Let l(i) be the first derivative of 0*i - 4/15*i**3 + 3 + 1/5*i**2 + 1/10*i**d. Determine s so that l(s) = 0.
0, 1
Let p(a) = 2*a**3 - 5*a**2 - 4*a - 3. Let f(n) = -n**3 + n**2 + n + 1. Suppose 0 = -0*y + y - 3. Let t(i) = y*f(i) + p(i). Find m such that t(m) = 0.
-1, 0
Let n(z) = -2*z**5 - 3*z**4 + 7*z**3 - 2*z**2. Let o(h) = h**5 + h**4 - 3*h**3 + h**2. Let c(b) = -2*n(b) - 5*o(b). Let c(a) = 0. What is a?
-1, 0, 1
Suppose -2*m + 3*d - 8 = -7*m, -3*d = 2*m - 5. Let r be 0 + -1 - m - -4. Factor -2*c**3 - r*c**2 - 4*c + 2*c**5 + 2*c**4 + 4*c.
2*c**2*(c - 1)*(c + 1)**2
Let a be 6 - (-1)/((-3)/12). Let w be 0 - ((-32)/12 + a). Find y such that 0*y**2 - w*y**5 + 0*y - 2/3*y**3 + 0 - 4/3*y**4 = 0.
-1, 0
Let -23*z**3 + 14*z**4 - 25*z**3 - 12 + 6*z**4 - 12*z**2 - 4*z**4 + 40*z = 0. What is z?
-1, 1/2, 3
Suppose -22 = -4*g + 2*d, 6 = 2*d - 4*d. Let c be ((-1)/(-3))/((-6)/(-54)). Factor g*z**2 - 1 + 3*z**3 + 3*z**5 - 5*z**3 - c*z**4 - z**5.
(z - 1)**3*(z + 1)*(2*z + 1)
Let j(m) be the second derivative of -m**7/14 + m**6/5 - m**4/2 + m**3/2 - 4*m. Factor j(l).
-3*l*(l - 1)**3*(l + 1)
Let q(x) be the second derivative of -1/12*x**4 + 0*x**2 + 0 - x + 1/6*x**3. Determine j so that q(j) = 0.
0, 1
Let u(x) be the third derivative of x**8/840 - x**6/150 + x**4/60 - 29*x**2. Factor u(r).
2*r*(r - 1)**2*(r + 1)**2/5
Let v be 0 + -5 - 44/(-8). Determine q, given that -v*q**2 - q**3 + 0*q - 1/2*q**4 + 0 = 0.
-1, 0
Let o be ((-2)/(-5))/(5/150). Suppose z = -4*u + 12, -u - 5*z = u + o. Let 1/2*w**2 - 1/2*w**u + 0 - 1/2*w**3 + 1/2*w = 0. What is w?
-1, 0, 1
Let m(t) be the first derivative of -t**6/2 - 6*t**5/5 - 3*t**4/4 - 6. Factor m(v).
-3*v**3*(v + 1)**2
Determine w so that -6/5*w**2 + 4/5*w**3 + 4/5*w - 1/5*w**4 - 1/5 = 0.
1
Let u(r) be the second derivative of 0 + 5/6*r**5 + 44/9*r**3 - 35/9*r**4 - 8/3*r**2 - r. Suppose u(j) = 0. What is j?
2/5, 2
Let g(j) be the third derivative of j**9/6048 + j**8/720 + j**7/252 + j**6/270 - j**3/3 - 2*j**2. Let a(i) be the first derivative of g(i). Factor a(o).
o**2*(o + 2)**2*(3*o + 2)/6
Let j(a) be the third derivative of a**5/360 - a**4/144 - a**3/18 + 5*a**2. Factor j(v).
(v - 2)*(v + 1)/6
Let f = 11 - 7. Suppose 0 = f*l + 3 - 11. Factor -3/2*b - 1/2*b**l - 1.
-(b + 1)*(b + 2)/2
Suppose -2*c = 5*d - 10, -5*d - 5*c = -1 - 9. Factor 0 - 2*k - 2/3*k**3 - 8/3*k**d.
-2*k*(k + 1)*(k + 3)/3
Let x = -1111 + 1113. Suppose -54/7 + 54/7*f - 18/7*f**x + 2/7*f**3 = 0. What is f?
3
Let q(u) be the second derivative of 1/12*u**4 - 1/20*u**5 + 0*u**3 + 0 + 3*u + 1/120*u**6 + 0*u**2. Factor q(z).
z**2*(z - 2)**2/4
Let j(p) be the first derivative of p**5/100 + p**4/30 + p**3/30 - 2*p - 2. Let v(h) be the first derivative of j(h). Factor v(l).
l*(l + 1)**2/5
Let u(j) be the third derivative of j**8/80 - 23*j**7/350 + 27*j**6/200 - 13*j**5/100 + j**4/20 + 2*j**2. Factor u(p).
3*p*(p - 1)**3*(7*p - 2)/5
Let s(h) be the second derivative of h**5/30 - h**4/18 + 31*h. Solve s(m) = 0 for m.
0, 1
Let k(c) = c**3 + c**2 - c + 1. Let a = 6 - 5. Let j be k(a). Solve 2*o**2 + 2 + j*o**3 - 2 = 0.
-1, 0
Let g(m) be the first derivative of 1/3*m**2 + 0*m + 2/9*m**3 + 4. Solve g(b) = 0.
-1, 0
Factor 8/9*o + 0 - 8/9*o**2 + 2/9*o**3.
2*o*(o - 2)**2/9
Let x(h) be the third derivative of h**7/1260 - h**6/120 + h**5/30 - 5*h**4/24 + 3*h**2. Let c(g) be the second derivative of x(g). Factor c(o).
2*(o - 2)*(o - 1)
Let c be (0 + 0 - -2)*(-3)/(-4). Find f, given that -3/4*f**3 + 0 + 3/4*f**4 + 0*f - c*f**2 = 0.
-1, 0, 2
Let f(b) be the second derivative of -b**5/100 + b**4/30 + 6*b. Factor f(w).
-w**2*(w - 2)/5
Let h(c) be the third derivative of c**5/30 + c**4/3 - 8*c**2. Factor h(v).
2*v*(v + 4)
Let w(o) = -6*o**3 + 1. Let l be w(-1). Find c, given that -3 + 4*c**3 + 0*c**3 + c - 10*c - 9*c**2 - l*c**3 = 0.
-1
Let f be 768/54 + (-4)/18. Let k be (-4)/(-6) + (14 - f). Factor -k*b**2 + 2/3 + 0*b.
-2*(b - 1)*(b + 1)/3
Let r(a) = a**4 - a - 1 - 3 + 3*a + 3. Let z(g) = g**4 + g**3 - 1. Suppose -5*v - x - 2 = 6, -2*x - 6 = 0. Let w(p) = v*r(p) + 2*z(p). Solve w(y) = 0.
-1, 1
Let u(q) = q**2 - 11*q + 13. Let m be u(10). Let d(g) be the first derivative of 1/2*g**4 + 1 - 2*g - 2*g**3 + m*g**2. Factor d(w).
2*(w - 1)**3
Factor 4*p**4 + 10*p**3 - 11*p**4 - 5*p**2 + 2*p**4.
-5*p**2*(p - 1)**2
Let m = -993/7 - -233279/1638. Let p = -3/26 + m. Solve 2/3*z - 2/9 - 4/9*z**3 - p*z**2 + 2/3*z**4 - 2/9*z**5 = 0.
-1, 1
Let o(t) be the first derivative of -t**4/5 - 2*t**3/3 + 4*t**2/5 + 6*t/5 + 8. Factor o(r).
-2*(r - 1)*(r + 3)*(2*r + 1)/5
What is x in 7*x**5 + 2*x**4 - x**2 - 6*x**5 - 5*x**4 - 2*x**5 - 3*x**3 = 0?
-1, 0
Let q = 95 - 91. Find a such that 4/9*a**3 - 2/9*a**2 - 2/9*a**q + 0 + 0*a = 0.
0, 1
Let j(c) be the first derivative of 2*c**3/15 - 2*c/5 + 4. Suppose j(m) = 0. Calculate m.
-1, 1
Let h(q) be the second derivative of -q**7/35 + 8*q**6/75 - 7*q**5/50 + q**4/15 + 33*q. Determine k so that h(k) = 0.
0, 2/3, 1
Let s(u) be the second derivative of 0 + 2*u**3 + 2*u + 2*u**2 - 4/3*u**4. Factor s(n).
-4*(n - 1)*(4*n + 1)
Let w = -2 - -5. Suppose 2 + w*h**3 - 2 - h**3 - 2*h**2 = 0. Calculate h.
0, 1
Let v be (3 - 4)*1*-3. Let b be -1*v + (-33)/(-9). Factor 2/3*j**3 + 0*j + b*j**2 + 0.
2*j**2*(j + 1)/3
Factor 0 - 2/9*h**3 + 4/9*h - 2/9*h**2.
-2*h*(h - 1)*(h + 2)/9
Let d(g) = g**2 - 3*g. Let m be d(4). Suppose -7 - 5 = -m*a. Determine x, given that 14*x**a + 19/4*x - 57/4*x**2 - 1/2 - 4*x**4 = 0.
1/4, 1, 2
Let a(l) be the first derivative of 2/9*l**3 + 6 + 1/24*l**4 + 1/4*l**2 + 0*l. Factor a(p).
p*(p + 1)*(p + 3)/6
Let c(d) = d**2 + d + 2. Let g be c(-2). Let -3*v**4 - 3*v**g - 4*v**3 + 0*v**5 + 2*v**5 + 4*v**4 = 0. What is v?
-1, 0, 2
Suppose -2 = 2*g - 10. Suppose -1 = g*m - 9. Let 8 + 0*l - 6*l + 2*l**2 - m*l = 0. Calculate l.
2
Let x(q) be the first derivative of 4/15*q**5 + 0*q**3 + 0*q + 0*q**2 + 5 + 1/9*q**6 + 1/6*q**4. Factor x(h).
2*h**3*(h + 1)**2/3
Let b(p) be the second derivative of p**5/30 - p**4/18 - p**3/9 + p**2/3 + 6*p. Factor b(i).
2*(i - 1)**2*(i + 1)/3
Let l(d) be the third derivative of 2/3*d**3 + 1/60*d**5 - 3*d**2 + 1/6*d**4 + 0 + 0*d. Find t such that l(t) = 0.
-2
Let q(o) be the third derivative of -2*o**7/15 + 5*o**6/12 - o**5/5 - 7*o**4/12 + 2*o**3/3 - o**2. Find z such that q(z) = 0.
-1/2, 2/7, 1
Let f be ((-9)/(-27))/(2/6). Determine q, given that f + 21/4*q**2 - 5*q**3 + 5*q - 25/4*q**4 = 0.
-1, -2/5, 1
Let q(w) = -w**3 + 4*w**2 - 2*w - 2. Let l be q(2). Let z(i) be the first