ve 1/8*z**3 + 1/8*z**2 + 0*z + 0 = 0 for z.
-1, 0
Let l(c) be the second derivative of -2*c**7/63 - c**6/90 + c**5/15 + c**4/36 - 2*c. Suppose l(q) = 0. What is q?
-1, -1/4, 0, 1
Let u(v) be the second derivative of v**5/240 - v**3/24 - 3*v**2/2 - 3*v. Let g(a) be the first derivative of u(a). Factor g(p).
(p - 1)*(p + 1)/4
Let p(h) be the second derivative of h**5/30 - h**4/18 - h**3/9 + h**2/3 + 3*h. Solve p(x) = 0 for x.
-1, 1
Let o = -3/88 + -1/11. Let y = o - -5/8. Solve 1/2*t**2 - y*t**4 - 3/2*t**5 + 5/2*t**3 - t + 0 = 0 for t.
-1, 0, 2/3, 1
Let i(x) be the second derivative of 0*x**2 - 1/105*x**7 + 3*x - 1/10*x**5 + 0 + 4/75*x**6 + 1/15*x**4 + 0*x**3. Factor i(s).
-2*s**2*(s - 2)*(s - 1)**2/5
Let b = 6 - 5. Suppose 2*s = -t + 1 + b, -1 = -2*t - s. Solve -1/3*o**3 + o**2 + t - 2/3*o = 0 for o.
0, 1, 2
Suppose 4*m = 4*l + 20, -2 = -5*l + 4*m - 22. Let z(j) be the first derivative of j**2 - 2/3*j**3 + l*j + 1. Let z(s) = 0. Calculate s.
0, 1
Let t be 12*3/(-9)*-1. Let 3/2*s**3 - 1/2*s**t - s**2 + 0*s + 0 = 0. Calculate s.
0, 1, 2
Let c(m) be the second derivative of m**7/14 + m**6/5 + 3*m**5/20 + 3*m. Factor c(g).
3*g**3*(g + 1)**2
Let l(m) be the third derivative of -1/24*m**4 + 1/120*m**5 - 1/6*m**3 + 0*m - 2*m**2 + 0 - 1/1440*m**6. Let c(k) be the first derivative of l(k). Factor c(a).
-(a - 2)**2/4
Let c(j) be the second derivative of -j**4/20 + 7*j**3/5 - 147*j**2/10 - 26*j. Solve c(n) = 0 for n.
7
Let b be (6 + -4)/(1/2). Suppose 0*s = -3*a - s + b, 4*s = -2*a + 16. Suppose 0*i + 1/3*i**3 + 1/3*i**2 + a = 0. What is i?
-1, 0
Let g(u) be the second derivative of u**8/336 + u**7/210 - u**6/120 - u**5/60 - u**2 - 5*u. Let y(a) be the first derivative of g(a). Factor y(h).
h**2*(h - 1)*(h + 1)**2
Let u(g) = -24*g**5 - 5*g**4 + 20*g**3 + 5*g**2 - 4*g - 4. Let o(z) = -z**5 - z - 1. Let v(k) = -4*o(k) + u(k). Determine a so that v(a) = 0.
-1, -1/4, 0, 1
Let t(w) be the first derivative of -w**6/3 - 2*w**5/5 + w**4/2 + 2*w**3/3 + 4. Factor t(h).
-2*h**2*(h - 1)*(h + 1)**2
Let h(z) = -11*z**2 - 8*z + 3. Let l(n) = 5*n**2 + 4*n - 2. Let w(d) = -6*h(d) - 15*l(d). Let w(p) = 0. What is p?
-2, 2/3
Let p(b) be the second derivative of 7*b**6/15 - 11*b**5/15 + 23*b**4/48 - b**3/6 + 3*b**2 - b. Let z(i) be the first derivative of p(i). Factor z(g).
(4*g - 1)**2*(7*g - 2)/2
Let l(v) be the third derivative of 1/15*v**5 + 0*v + 1/30*v**6 + 0 + 0*v**3 + 2*v**2 + 0*v**4. Factor l(x).
4*x**2*(x + 1)
Let c be -3*(-2 + 3/3). Factor -8*b**2 + 47*b**4 + 9*b**3 - 17*b**4 + 2*b**5 + 6*b**5 + 15*b**c.
2*b**2*(b + 2)**2*(4*b - 1)
Let z(j) be the first derivative of j**6/240 - j**5/40 + j**4/16 + j**3/3 - 1. Let h(x) be the third derivative of z(x). Determine b, given that h(b) = 0.
1
Factor 2*m**2 + 2/3*m**3 - 2 - 2/3*m.
2*(m - 1)*(m + 1)*(m + 3)/3
Determine r, given that 0 + 1/2*r**2 - 1/2*r**4 + 1/6*r**3 + 1/6*r**5 - 1/3*r = 0.
-1, 0, 1, 2
Let i(c) be the second derivative of -4*c**7/21 + 2*c**6/3 - 3*c**5/5 - c**4/3 + 2*c**3/3 + 27*c. Factor i(l).
-4*l*(l - 1)**3*(2*l + 1)
Suppose 5 + 1 = 3*p. Factor -4 - 6*t - 8*t**3 - 22*t**p - t + 2*t**2 - 9*t.
-4*(t + 1)**2*(2*t + 1)
Let m(k) be the third derivative of k**6/270 - k**5/27 + 2*k**4/27 - 41*k**2 - k. Find r such that m(r) = 0.
0, 1, 4
Let r(n) be the first derivative of n**6/900 - n**5/150 + n**3 + 6. Let w(h) be the third derivative of r(h). Let w(k) = 0. Calculate k.
0, 2
Let h = -39 - -79/2. Let c + 1/2*c**2 + h = 0. What is c?
-1
Let o(j) be the third derivative of j**7/735 - j**6/105 + j**5/42 - j**4/42 - 7*j**2. Factor o(b).
2*b*(b - 2)*(b - 1)**2/7
Factor -91*j + 92*j + 4*j**2 + 3*j**5 - 4*j**3 - 2*j**2 - 2*j**4.
j*(j - 1)**2*(j + 1)*(3*j + 1)
Let 0*b - 1/5*b**5 - 3/5*b**3 - 3/5*b**4 + 0 - 1/5*b**2 = 0. What is b?
-1, 0
Let g = -3384369 - -3096697991/915. Let b = 2/183 + g. Factor b*f**2 - 2/5 + 0*f.
2*(f - 1)*(f + 1)/5
Let h be 15/12 + 18/24. Determine q so that 0 + 0*q - 3/4*q**h = 0.
0
Suppose -o + 5*l = 8 + 10, 4*l - 16 = 0. Solve 3*g + 6*g**4 - 5*g**4 + o*g**4 - 3*g**2 - 3*g**3 + 0*g**3 = 0 for g.
-1, 0, 1
Determine j, given that -3/4 - j - 1/4*j**2 = 0.
-3, -1
Let -1/3*b**4 + 0 - 2/3*b**3 + 2/3*b**5 + 0*b + 1/3*b**2 = 0. Calculate b.
-1, 0, 1/2, 1
Let t be 2*(26/(-4) + 1). Let a be (-14)/21 + t/(-12). Determine k so that a - 1/4*k**2 - 1/4*k**3 + 1/4*k = 0.
-1, 1
Let o be (4/8)/(15/10). Solve -1/3*b**2 + 0 + 1/3*b - 1/3*b**3 + o*b**4 = 0 for b.
-1, 0, 1
Let z = -3 + -11. Let l be (-760)/z + 2/(-7). Factor 3 + 180*q**2 - 110*q - 162*q**3 + 22*q + 13 + l*q**4.
2*(q - 1)*(3*q - 2)**3
Let s = 4 + -1. Let m = 5 - s. What is g in m + 7*g + 0 + 0 + 5*g**2 = 0?
-1, -2/5
Let x(z) be the third derivative of 0*z**3 + 0*z**4 + 0*z + 1/390*z**5 + 0 - 2*z**2. Factor x(f).
2*f**2/13
Let d(w) = 4*w - w**2 - 3*w + 0*w. Let p(c) = -c**3 + c**2 - 2*c. Let f = 3 + -1. Let l(o) = f*d(o) + p(o). Find h such that l(h) = 0.
-1, 0
Factor -2/11*s**3 + 6/11*s + 4/11*s**2 + 0.
-2*s*(s - 3)*(s + 1)/11
Suppose -2*o - 4*o = -36. Let s(p) be the third derivative of 1/96*p**4 + 0*p + 0 - 1/24*p**3 + 1/240*p**5 - 1/480*p**o - 2*p**2. Let s(t) = 0. What is t?
-1, 1
Suppose 0 = -b + 16 - 13. Let j(h) be the second derivative of 3/70*h**5 + 0 + 0*h**2 + 3*h + 1/42*h**4 + 0*h**b. Factor j(v).
2*v**2*(3*v + 1)/7
Suppose -t + 9 = 9. Factor -4/9*k**3 + t*k + 14/9*k**4 + 0 + 0*k**2.
2*k**3*(7*k - 2)/9
Suppose -5*c = -c + 2*c. Solve 0*k + 0 - 2/9*k**4 + c*k**3 + 0*k**2 = 0.
0
Let l(i) = -3*i**2 + 8*i - 5. Let m(j) = 12*j**2 - 18*j + 6. Let x(f) = f - 1. Let u(t) = m(t) - 15*x(t). Let h(k) = 9*l(k) + 2*u(k). Factor h(b).
-3*(b - 1)**2
Let p(r) be the second derivative of r**6/105 - r**5/7 + 25*r**4/42 - 3*r. What is s in p(s) = 0?
0, 5
Let w(v) = 10*v**2 - 30*v - 10. Let n(c) = 59*c**2 - 181*c - 60. Let l(h) = -6*n(h) + 34*w(h). Let l(t) = 0. What is t?
-2/7, 5
Suppose 11 = 3*n - 1, 4*b = -2*n + 24. Let y(q) be the third derivative of q**2 + 0*q**b + 0*q**3 + 1/210*q**7 + 0 + 0*q**6 + 0*q**5 + 0*q. Factor y(c).
c**4
Let d(g) = 3*g**5 + 5*g**4 - 11*g**3 + 5*g**2 + 8*g. Let x(z) = -z**4 + z**3 - z**2 - z. Let t(s) = -d(s) - 5*x(s). Factor t(f).
-3*f*(f - 1)**2*(f + 1)**2
Suppose -4*o = -3*m - 84, o - 6 = 2*m + 50. Let x be (-2)/5*20/m. Factor -2/7*h + 0 + 0*h**2 + x*h**3.
2*h*(h - 1)*(h + 1)/7
Solve 27/8 + 9/2*t**2 - 27/4*t + 1/8*t**4 - 5/4*t**3 = 0.
1, 3
Factor 8/3*k + 2/3*k**2 + 2.
2*(k + 1)*(k + 3)/3
Let t = 7 - 11. Let h(o) = -o**2 - 6*o - 6. Let k be h(t). Factor -5*x**2 - 2*x**3 + 3*x**2 - k*x**3 + 2*x**4 + 4*x.
2*x*(x - 2)*(x - 1)*(x + 1)
Let z(f) be the third derivative of f**8/392 - 2*f**7/735 - f**6/105 + f**5/105 + f**4/84 - 2*f**2 + 25. Find s such that z(s) = 0.
-1, -1/3, 0, 1
Let s(r) be the first derivative of r**8/1120 + r**7/280 + 5*r**3/3 - 6. Let c(d) be the third derivative of s(d). Determine o, given that c(o) = 0.
-2, 0
Let g(v) be the first derivative of -3*v**5/5 - 9*v**4/4 - v**3 + 9*v**2/2 + 6*v - 48. Let g(i) = 0. What is i?
-2, -1, 1
Let t be (-24)/(-352)*-2*-4. Suppose j - 5 = -5*v, 5*v - j = 4*j + 35. Factor 4/11 + t*f + 2/11*f**v.
2*(f + 1)*(f + 2)/11
Let i(p) be the third derivative of p**5/12 - 5*p**4/24 + 27*p**2. Factor i(w).
5*w*(w - 1)
Let u(q) = q**3 + 6*q**2 + 5*q + 4. Let i be u(-4). Factor -i + 5*k**3 + 0*k**2 + 3*k**2 - 3*k**4 + 18 - 2*k**2 - 5*k.
-(k - 1)**2*(k + 1)*(3*k - 2)
Let d = 3 - -6. Determine y, given that y**3 - 2 - 6*y**2 + d*y + y**3 - 3*y = 0.
1
Solve -44*z**3 + 17*z + 7*z - 65*z**2 + 10 - 46*z**3 + 11*z = 0 for z.
-1, -2/9, 1/2
Factor -3*g**2 + 14*g**3 + 2*g + 8*g**2 - 11*g**2 - 10*g**2.
2*g*(g - 1)*(7*g - 1)
Let h = 18 - 11. Let h + 6*m - 11 - 5*m**2 + 15*m**2 = 0. What is m?
-1, 2/5
Let j(u) = 6*u - 2. Let l be j(2). Solve 47*r**3 + 96*r - 5 - 1 - 204*r**2 - 48*r**4 + 129*r**3 - l = 0.
1/2, 2/3, 2
Let o be 10/(-50) - (-21)/5. Suppose 3*r - 13 = -3*q + 2, 18 = 3*r + o*q. Factor 0 + 0*x - 2/5*x**r.
-2*x**2/5
Let w(t) be the second derivative of -t**8/3360 + t**7/1260 + t**6/360 - t**5/60 - t**4/12 + 3*t. Let g(c) be the third derivative of w(c). Factor g(a).
-2*(a - 1)**2*(a + 1)
Let n(v) = -v**3 + 4*v**2 + 3*v - 3. Let j be n(3). Let y = -7 + j. Determine p so that 4*p + 2*p**3 - 2*p**2 + y*p**2 - 2*p**2 - 2*p = 0.
-1, 0
Suppose -2 = -3*o + 7. Let g(k) be the first derivative of