-1, 1
Let k(l) be the first derivative of 2*l**3/5 - 3*l**2/10 - 3*l/5 + 15. Factor k(b).
3*(b - 1)*(2*b + 1)/5
Let s(x) = -2*x - 4. Let u be s(-4). Factor 3*m**3 - 3*m - 3/2 + 3/2*m**u + 0*m**2.
3*(m - 1)*(m + 1)**3/2
Let w be -3 + ((-402)/(-155) - -1). Let x = w - 6/31. Factor x*l**2 + 0 + 2/5*l.
2*l*(l + 1)/5
Let r = 10/11 + 14/33. Let v be 69/(-45) + 2 + 1/5. Solve -v*a - 2/3*a**3 + 0 + r*a**2 = 0.
0, 1
Find d such that 0 - 4/7*d**4 - 4/7*d + 4/7*d**3 + 4/7*d**2 = 0.
-1, 0, 1
Suppose 2*r - 7*r + 10 = 0. Let g be (-14)/(-8) + r/8. Factor -a**4 - a**3 + a**2 + 0*a**2 - a**3 - 2*a**g.
-a**2*(a + 1)**2
Suppose -4*h + 4 = -3*h. Let j be (h/(-6))/((-3)/9). Factor 2 + 6*z**2 + j*z**3 - 2*z**3 + 6*z + 2*z**3.
2*(z + 1)**3
Let f be 0*(-2)/4 - -19. Let v(t) = -4 - 6*t**2 + f + 10*t + 1. Let p(u) = u**2 - 2*u - 3. Let d(r) = 22*p(r) + 4*v(r). Factor d(o).
-2*(o + 1)**2
Let k(m) be the first derivative of m**4/6 + 2*m**3/9 - m**2/3 - 2*m/3 + 5. Solve k(a) = 0.
-1, 1
Let i(r) be the third derivative of r**8/26880 - r**7/10080 - r**4/12 - r**2. Let c(z) be the second derivative of i(z). Find s, given that c(s) = 0.
0, 1
Let p(y) = 5*y - 17. Let v be p(4). Let h = -23/5 + 171/35. Find r, given that h*r**5 + 4/7*r**4 + 0*r**v - 2/7*r - 4/7*r**2 + 0 = 0.
-1, 0, 1
Factor -2/11*z**2 - 2/11 + 4/11*z.
-2*(z - 1)**2/11
Let m(j) be the first derivative of 3*j**5/5 - 3*j**4/4 - 11. Factor m(g).
3*g**3*(g - 1)
Factor 2/5*l**5 + 0*l + 4/5*l**4 - 16/5*l**2 + 0 - 8/5*l**3.
2*l**2*(l - 2)*(l + 2)**2/5
Let x(p) be the third derivative of -p**11/498960 + p**10/113400 - p**9/90720 + p**5/20 - p**2. Let s(v) be the third derivative of x(v). Factor s(q).
-2*q**3*(q - 1)**2/3
Let z(a) be the second derivative of a**6/480 + a**5/120 - a**4/32 - 5*a**2/2 - a. Let h(o) be the first derivative of z(o). Solve h(q) = 0 for q.
-3, 0, 1
Let u(v) be the third derivative of 1/6*v**4 - 2/3*v**3 + 2*v**2 + 0*v - 1/60*v**5 + 0. Factor u(z).
-(z - 2)**2
Factor -4*j**3 + 4 - 4*j**2 + 2*j**5 - 3 + 2*j**4 + 2*j - 4 + 5.
2*(j - 1)**2*(j + 1)**3
Let i(t) = t**4 + t. Let s(c) = 8*c**4 - 24*c**3 + 52*c**2 - 44*c + 16. Let m(g) = 3*g - 1. Let u be m(-1). Let z(a) = u*i(a) + s(a). Factor z(k).
4*(k - 2)**2*(k - 1)**2
Suppose -3*k = -k + 5*m - 10, 4*m = 8. Let -2*o**3 + 2/3*o - 4/3*o**2 + k = 0. What is o?
-1, 0, 1/3
Let w(s) be the first derivative of -3 + 1/10*s**5 + 2*s + 0*s**2 - 1/6*s**4 + 0*s**3. Let b(q) be the first derivative of w(q). Let b(o) = 0. What is o?
0, 1
Let t(v) be the second derivative of v**5/20 - v**4/4 - v**3/6 + 3*v**2/2 + v. Let a be t(3). Solve 0*f**4 + a*f**2 + 2/3*f**5 - 2/3*f**3 + 0*f + 0 = 0 for f.
-1, 0, 1
Let o(m) be the second derivative of -m**9/756 - m**8/840 + m**3/3 - 4*m. Let w(p) be the second derivative of o(p). Factor w(f).
-2*f**4*(2*f + 1)
Let a(f) be the first derivative of 5*f**4/2 - 2*f**3 - 12*f**2 - 8*f + 12. Find p such that a(p) = 0.
-1, -2/5, 2
Let c(z) be the second derivative of -z**5/50 - z**4/6 - 8*z**3/15 - 4*z**2/5 + 17*z. Let c(p) = 0. Calculate p.
-2, -1
Let w = -95 - -191/2. Let -1/2*l - 1/2*l**2 + 1/2 + w*l**3 = 0. What is l?
-1, 1
Let v(y) be the second derivative of 4*y - 57/20*y**5 + 0*y**2 + 2*y**3 + y**4 - y**6 + 0. Determine k so that v(k) = 0.
-2, -2/5, 0, 1/2
Let n = 2 - 0. Suppose 27 = 3*c + 5*p, -5*c - 4 + 12 = -4*p. Factor 2*x**5 - 2 - 2*x**4 - c*x**3 + x**n + 3*x**2 + x**5 - x**5 + 2*x.
2*(x - 1)**3*(x + 1)**2
Let i(v) = 2*v**2 + 5*v - 10. Let l(d) = -5*d**2 - 10*d + 20. Let u(n) = -5*i(n) - 3*l(n). Suppose u(z) = 0. What is z?
-2, 1
Let g(l) = l**3 + 49*l**2 + 157*l + 162. Let y(i) = 3*i**3 + 171*i**2 + 549*i + 567. Let w(q) = -18*g(q) + 5*y(q). Suppose w(h) = 0. Calculate h.
-3
Let j be (12/8)/((-2)/(-4)). Factor -47*a**j - 39*a**3 - 12 + 23*a**3 + 87*a**2 - 12*a.
-3*(a - 1)*(3*a - 2)*(7*a + 2)
Let w = 18/43 + 46/301. Solve -2/7*n**5 - 4/7*n**2 + 2/7*n + 0*n**3 + w*n**4 + 0 = 0 for n.
-1, 0, 1
Let j(i) be the first derivative of i**5/10 + i**4 + 8*i**3/3 + 5. Solve j(k) = 0.
-4, 0
Let a(z) be the third derivative of -z**7/735 + z**6/210 - z**5/210 + 4*z**2. Factor a(s).
-2*s**2*(s - 1)**2/7
Factor -9*n**2 - 2 - 9*n**3 - 2*n**3 - n**4 + 6*n**3 - 7*n.
-(n + 1)**3*(n + 2)
Let w(c) be the first derivative of c**6/15 - 2*c**4/5 + 4*c**3/15 + 3*c**2/5 - 4*c/5 - 9. Factor w(i).
2*(i - 1)**3*(i + 1)*(i + 2)/5
Let a = -20 - -62/3. Factor 1/3*i**3 + 0 - 1/3*i**2 - a*i.
i*(i - 2)*(i + 1)/3
Let g(h) be the third derivative of -5*h**6/24 - h**5/3 - h**4/6 + 4*h**2. Find b such that g(b) = 0.
-2/5, 0
Let d be (-2)/8 + 0 + 114/168. Let i(r) be the first derivative of -2 - 12/7*r + d*r**4 - 6/7*r**2 + 3/7*r**3 + 3/35*r**5. What is q in i(q) = 0?
-2, -1, 1
Factor 3*m**2 + 9*m**3 + 0*m**3 - 8*m**3 - 4.
(m - 1)*(m + 2)**2
Let r be (-110)/(-15) + 1 - 5. Factor -2/3 + 2*p**3 - 14/3*p**2 + r*p.
2*(p - 1)**2*(3*p - 1)/3
Suppose -8 = -h + 5*h, 0 = i - 2*h - 6. Factor -8/9*d**i - 2/9 + 10/9*d.
-2*(d - 1)*(4*d - 1)/9
Let v(y) be the third derivative of y**6/600 - y**5/60 + 47*y**2. Factor v(t).
t**2*(t - 5)/5
Let r(d) be the third derivative of d**6/140 - d**5/42 + d**4/84 + d**3/21 - 6*d**2. Determine a so that r(a) = 0.
-1/3, 1
Suppose -9*p + 5*p = 5*m - 15, -m - 16 = -3*p. Factor -2/5*f**2 - 2/5*f**3 + 0*f + 0 + 2/5*f**4 + 2/5*f**p.
2*f**2*(f - 1)*(f + 1)**2/5
Suppose 5 = -4*x + 5*g - 0, 2*x + 5*g = 5. Suppose -1/3*s**3 + x*s - s**2 + 0 = 0. Calculate s.
-3, 0
Solve 2/7*f**5 + 2/7*f**4 + 0 + 0*f**3 + 0*f + 0*f**2 = 0 for f.
-1, 0
Factor j**2 - 4*j + 2*j + j**2.
2*j*(j - 1)
Suppose -7*x + 25 = -2*x. Suppose 0 = x*b + 20, 3*q + 14 = -0*q - 5*b. Solve 1 - 1 - 2*m**2 + m**q = 0.
0
Let l = 3/5 - 1/10. Let y(j) be the first derivative of -1/2*j**2 - 2 - 1/10*j**5 + 0*j - l*j**4 - 5/6*j**3. Factor y(r).
-r*(r + 1)**2*(r + 2)/2
Let y(h) be the second derivative of -3*h**4/4 - 5*h**3 - 9*h**2/2 + 3*h. Factor y(c).
-3*(c + 3)*(3*c + 1)
Let d be 2/(-20)*(-50)/90. Let p(x) be the second derivative of d*x**3 + 0*x**2 + x + 1/60*x**5 + 0 + 1/18*x**4. Find i, given that p(i) = 0.
-1, 0
Let r(z) = -z**4 + z**3 - z**2. Let u(t) = -t**4. Let v(h) = h**4 - 9*h**2 - 2*h. Let n(x) = -6*u(x) - v(x). Let l(p) = -n(p) - 4*r(p). Factor l(w).
-w*(w + 1)**2*(w + 2)
Let r(v) = -2*v**2 + 14*v - 8. Let y be r(6). Let h(o) be the second derivative of -1/42*o**y - 2*o - 4/21*o**3 + 0 - 4/7*o**2. Factor h(b).
-2*(b + 2)**2/7
Solve 4*h - 1 + 0 + 0 - 1 - 2*h**2 = 0 for h.
1
Let j(t) be the third derivative of -t**7/315 - t**6/180 + t**5/30 + t**4/36 - 2*t**3/9 + 5*t**2. Let j(x) = 0. Calculate x.
-2, -1, 1
Let s(x) = x + 6. Let t be s(-4). Factor 2*i**3 + 10*i - 9*i + 14*i**3 + 4*i**2 + 4*i**t.
i*(4*i + 1)**2
Suppose -z - 19 = -4*u, -u - 5*z = -0*z + 11. Suppose 24*x - 16 + 3*x**4 - 6*x**3 + 9*x**4 - 10*x**4 - u*x**2 = 0. Calculate x.
-2, 1, 2
Let k be (-37)/22 + 12/66. Let i = 11/6 + k. Find p, given that i*p**2 + 0 + 0*p = 0.
0
Let -2*m**4 - 148*m**3 + 0*m**4 + 152*m**3 = 0. Calculate m.
0, 2
Let z = -12 - -14. Find w, given that 5*w**3 + 2*w**z + 0*w**2 - 3*w**3 = 0.
-1, 0
Suppose 0 = -4*t - 5 + 13. Suppose -t*g + g + 2 = 0. Factor -2*c**2 + g*c + 5 - 2 - 1 - 2*c**3.
-2*(c - 1)*(c + 1)**2
Let p(o) be the first derivative of 10*o**3/3 - 12*o**2 + 8*o + 5. Let p(b) = 0. What is b?
2/5, 2
Let t(i) be the second derivative of -i**4/4 + 3*i**3/2 - 11*i. Factor t(a).
-3*a*(a - 3)
Let p(g) be the third derivative of 0*g**3 - 1/630*g**7 + 1/1008*g**8 - 1/360*g**6 + 0*g**4 + 0 + 1/180*g**5 + 0*g + 3*g**2. What is l in p(l) = 0?
-1, 0, 1
Factor -16/5*q**2 - 6/5*q**3 - 4/5 - 14/5*q.
-2*(q + 1)**2*(3*q + 2)/5
Let v(o) be the second derivative of -o**4/30 + 8*o**3/5 - 144*o**2/5 - 19*o. Factor v(f).
-2*(f - 12)**2/5
Let j(t) = -t**3 - 8*t**2 - 6*t - 18. Let x be j(-8). Let y = x - 27. Factor -1/5*w**4 + 3/5*w**y - 3/5*w + 2/5 - 1/5*w**2.
-(w - 2)*(w - 1)**2*(w + 1)/5
Factor -5*i + 15*i**2 + 7*i**4 - i - 6*i**4 - 7*i**3 - 7*i + 4.
(i - 4)*(i - 1)**3
Suppose -2*z = 4, 3*i + 4 = 2*i - 5*z. Suppose 2 - i = -2*t. Factor 0*w**3 + 5*w**3 + w**2 - t*w**3 + w**4 - w**3.
w**2*(w + 1)**2
Let h(u) be the second derivative of -u**7/189 + u**5/30 - u**4/27 + 2*u. What is b in h(b) = 0?
-2, 0, 1
Let j(x) = 5*x**2 + 4*x - 5. Let o be j(-5). Let p be (-55)/o + 3/4. Solve 2/5*b**4 + 0*b**3 + 0 - p*b - 