v.
-1, 0, 1
Let x(c) be the third derivative of -c**7/7560 - c**6/1080 - c**4/8 + c**2. Let i(n) be the second derivative of x(n). Factor i(g).
-g*(g + 2)/3
Factor 0*k + 0 + 0*k**2 + 3/5*k**5 + 6/5*k**4 + 3/5*k**3.
3*k**3*(k + 1)**2/5
Let h(z) = -52*z**2 - 27*z + 25. Let q(s) = -8 + 3*s + s + 5*s + 17*s**2. Let m(l) = 2*h(l) + 7*q(l). Suppose m(w) = 0. Calculate w.
-1, 2/5
Let t be (3 + -3 - 4)*(-4)/8. Let j(p) be the second derivative of 0 + 0*p**t + 0*p**3 + 0*p**6 + 0*p**4 + 0*p**5 + 1/147*p**7 - p. Let j(i) = 0. What is i?
0
Let c(g) be the third derivative of g**8/6720 - g**7/1680 - 2*g**5/15 - 10*g**2. Let y(q) be the third derivative of c(q). Factor y(v).
3*v*(v - 1)
Let l(k) = -k**2 - k + 1. Suppose 0 = -3*s - 12 + 3. Let j(r) = -r**3 + 9*r**2 + 8*r - 9. Let d(c) = s*j(c) - 21*l(c). Determine x, given that d(x) = 0.
-1, 1, 2
Suppose 8 = -48*q + 50*q. Let t(d) be the second derivative of -d - 35/3*d**q - 8*d**2 + 49/10*d**5 + 0 - 52/3*d**3. Factor t(f).
2*(f - 2)*(7*f + 2)**2
Let l(k) = k**3 + 13*k**2 - 51*k - 46. Let y be l(-16). Factor 3/4*p + 1/4*p**y + 1/2.
(p + 1)*(p + 2)/4
Let v(u) = -u**2 + 2*u - 7. Let i be v(4). Let z = -13 - i. Factor l**4 + 5/3*l - 5/3*l**3 - 2/3 - 1/3*l**z.
(l - 1)**2*(l + 1)*(3*l - 2)/3
Let a(w) = 8*w**2 + 6*w + 6. Let h(q) = -15*q**2 - 11*q - 11. Let c(b) = -11*a(b) - 6*h(b). Factor c(s).
2*s**2
Let y = 12 + -8. Suppose -3*b - 3*a - 2 = a, 5*b - 2 = -y*a. Factor -5*i**2 - 3*i**3 + 0*i**2 + 6*i**b + i**2 + i**5.
i**2*(i - 1)**2*(i + 2)
Let y(x) be the second derivative of -1/8*x**4 + 0*x**3 - 4*x + 0*x**2 + 0. Factor y(v).
-3*v**2/2
Suppose 5*m = -3 + 13. Solve 1/2 - w - 1/2*w**4 + w**3 + 0*w**m = 0 for w.
-1, 1
Let o = 22 - 20. Factor -4/3 + o*u + 4/3*u**2.
2*(u + 2)*(2*u - 1)/3
Let m(f) = 5*f**2 - 3*f + 2. Let y(w) = -9*w**2 + 6*w - 4. Let u = -4 + 8. Let t(a) = u*y(a) + 7*m(a). Factor t(i).
-(i - 2)*(i - 1)
Let o(z) be the first derivative of 0*z + 2/15*z**3 - 1/5*z**2 + 3. What is l in o(l) = 0?
0, 1
Let o(c) be the third derivative of -c**7/6300 + c**6/900 - c**4/24 - c**2. Let t(g) be the second derivative of o(g). Factor t(r).
-2*r*(r - 2)/5
Let x(m) be the first derivative of -m**5/20 + m**3/6 + 3*m + 2. Let p(d) be the first derivative of x(d). Factor p(o).
-o*(o - 1)*(o + 1)
Let h(n) be the second derivative of 1/15*n**6 - 1/20*n**5 + 3*n + 0 + 0*n**3 - 1/6*n**4 + 0*n**2 + 1/42*n**7. Factor h(f).
f**2*(f - 1)*(f + 1)*(f + 2)
Suppose 58 = 28*c + c. Factor 2/7*v**3 + 8/7*v**4 + 0*v**c + 6/7*v**5 + 0*v + 0.
2*v**3*(v + 1)*(3*v + 1)/7
Suppose h - 5*h + 16 = 0. Determine f, given that 4*f**h + 1/2*f**2 + 0 + 0*f + 7/4*f**5 + 11/4*f**3 = 0.
-1, -2/7, 0
Let f(o) be the first derivative of 1/4*o**3 - 9/8*o**2 - 1 + 3/2*o. Factor f(x).
3*(x - 2)*(x - 1)/4
Let r(d) = -d**3 - d**2 - d. Let q(z) = 3*z**3 + 11*z**2 + 4*z + 2. Let k(b) = q(b) + 4*r(b). Let w be k(7). Factor i**w - 2*i + 4 + 4*i + 2*i.
(i + 2)**2
Let y(p) be the third derivative of -1/280*p**6 + 0*p + 0*p**5 - 8*p**2 + 0*p**3 + 0 + 0*p**4. Factor y(c).
-3*c**3/7
Let s(i) be the first derivative of 84*i**5/25 + 41*i**4/5 + 68*i**3/15 - 2*i**2 - 8*i/5 - 6. Find o such that s(o) = 0.
-1, -2/7, 1/3
Let t(l) be the first derivative of l**6/16 - 3*l**5/40 - 3*l**4/32 + l**3/8 + 7. Find b, given that t(b) = 0.
-1, 0, 1
Let j(z) be the second derivative of -z**7/252 + z**6/60 - z**5/60 - z**4/4 + 4*z. Let h(q) be the third derivative of j(q). Find k such that h(k) = 0.
1/5, 1
Factor -4*l + 6*l + 6*l - 3*l - 5*l**2.
-5*l*(l - 1)
Suppose -5*z + 12 = -z. Let 0*d**2 + 6*d**2 + 3*d + 0*d**3 + z*d**3 = 0. Calculate d.
-1, 0
Let w(x) be the second derivative of -x + 0*x**6 + 0*x**4 - 1/21*x**7 + 1/10*x**5 + 0 + 0*x**3 + 0*x**2. Determine u, given that w(u) = 0.
-1, 0, 1
Let x be 25/30*(-268)/(-10). Let t = x + -22. Factor -i**2 + t*i + 2/3.
-(i - 1)*(3*i + 2)/3
Let s(k) = 3*k**5 + 4*k**4 - 3*k**3 - 4. Let v(w) = 6*w**5 + 7*w**4 - 6*w**3 - 7. Let i(f) = 7*s(f) - 4*v(f). Let i(r) = 0. Calculate r.
-1, 0, 1
Let c(n) be the second derivative of -n**6/1440 - n**5/120 - n**4/24 + n**3/3 - 3*n. Let f(s) be the second derivative of c(s). Let f(m) = 0. Calculate m.
-2
Suppose -5 = 2*b - 3. Let l(m) = m**2. Let h(i) = -2*i**2 + 2*i. Let r = 14 - 17. Let w(x) = b*h(x) + r*l(x). Factor w(d).
-d*(d + 2)
Let i(t) = -t**2 + 2. Let k be i(0). Factor -z**2 + 7 - 7 + 2*z - 5*z**k.
-2*z*(3*z - 1)
Solve -9/5*h**2 + 4/5 + 16/5*h = 0.
-2/9, 2
Let s(g) be the first derivative of g**8/1344 - g**7/280 + g**6/160 - g**5/240 - 3*g**2/2 - 3. Let h(d) be the second derivative of s(d). Factor h(r).
r**2*(r - 1)**3/4
Suppose 2*x = 7*x - 15. Factor 4*p**3 - 3*p - 3 + 3*p**2 + 0 + 4*p**x - 5*p**3.
3*(p - 1)*(p + 1)**2
Suppose 0 = 2*v - 3 - 5. Factor -4*n**4 - n**4 + 4*n**v.
-n**4
Let q(i) be the third derivative of i**7/3780 + i**6/1080 + i**4/12 + 2*i**2. Let k(g) be the second derivative of q(g). Suppose k(p) = 0. What is p?
-1, 0
Let l(h) be the third derivative of h**8/112 - h**7/70 - h**6/40 + h**5/20 - 18*h**2. Let l(m) = 0. What is m?
-1, 0, 1
Let p(d) be the third derivative of -d**7/420 + 7*d**6/240 - d**5/8 + 13*d**4/48 - d**3/3 - d**2. Factor p(i).
-(i - 4)*(i - 1)**3/2
Let d(g) be the first derivative of -g**5/40 - g**4/24 + g**3/12 + g**2/4 + 7*g - 7. Let n(q) be the first derivative of d(q). Determine i, given that n(i) = 0.
-1, 1
Let q be 0*(-3)/(-3 + 6). Determine y so that 4*y**2 - 2*y - 2*y + q - 9 + 1 = 0.
-1, 2
Factor 3*q**3 - 31/4*q**2 + 15/4*q - 1/2.
(q - 2)*(3*q - 1)*(4*q - 1)/4
Factor 18*q + 65*q - 3*q**2 - 35*q - 192.
-3*(q - 8)**2
Let b(m) be the third derivative of m**6/780 + m**5/39 + m**4/13 - 24*m**3/13 - 5*m**2 + 2*m. Factor b(l).
2*(l - 2)*(l + 6)**2/13
Factor -28/11*s - 6/11*s**2 - 16/11.
-2*(s + 4)*(3*s + 2)/11
Let b(q) = 5*q**3 - 14*q**2 + 17*q - 6. Let d(o) = -6*o**3 + 15*o**2 - 18*o + 6. Let p(n) = -3*b(n) - 2*d(n). What is r in p(r) = 0?
1, 2
Suppose -3 = 4*v - 79. Let g = 21 - v. Determine w so that 1/6*w**3 - 1/6*w**g + 0*w + 0 = 0.
0, 1
Let q(s) = -5*s**2 + 6*s - 4. Let x(c) be the first derivative of 2*c**3 - 3*c**2 + 4*c - 2. Suppose -2 - 18 = 5*r. Let y(z) = r*q(z) - 3*x(z). Factor y(j).
2*(j - 2)*(j - 1)
Let d be (24/(-54))/(8/(-16)). Determine l so that 0*l**3 + 0 + 2/3*l**4 - 2/9*l**5 - d*l**2 + 0*l = 0.
-1, 0, 2
Let y(s) be the first derivative of -4*s**2 - 4/3*s**3 + 2 - 4*s. Solve y(t) = 0 for t.
-1
Let f(x) = -x**2 + 5*x + 17. Let v(n) = -2*n - 7. Let j be v(-7). Let c be f(j). Factor 0*h**2 + 0 + 1/5*h - 1/5*h**c.
-h*(h - 1)*(h + 1)/5
Suppose 2 = v - 0*v. Let y = 4 - v. Factor 3*o + 2 + 2 + o**2 - y.
(o + 1)*(o + 2)
Let x(j) = j + 2. Let m be x(1). Find t such that -2 - t - 9*t**m - 4*t - 4*t - 24*t**2 + 8 = 0.
-2, -1, 1/3
Let m(z) be the first derivative of z**3 - 4*z + 3 + 0*z**2 + 1/4*z**4. Factor m(j).
(j - 1)*(j + 2)**2
Let y(u) be the first derivative of -1/18*u**4 + 2 + 0*u - 2/27*u**3 + 0*u**2. Find t such that y(t) = 0.
-1, 0
Let a(w) be the third derivative of -w**6/360 - w**5/45 + w**4/72 + 2*w**3/9 - 26*w**2. Factor a(s).
-(s - 1)*(s + 1)*(s + 4)/3
Let s = 171 + -511/3. Factor -5/3*d - 7/3*d**2 + s.
-(d + 1)*(7*d - 2)/3
Let i(u) be the third derivative of u**5/60 - u**4/6 - u**3/3 - u**2. Let h be i(5). Factor 0*c + 2*c**2 - c - h*c.
2*c*(c - 2)
Factor 8/19 + 194/19*n**2 + 72/19*n + 32/19*n**4 + 144/19*n**3.
2*(n + 2)**2*(4*n + 1)**2/19
Let i = -27 + 27. Factor 0*h**2 - 2/11*h**4 + 0*h + 4/11*h**3 + i.
-2*h**3*(h - 2)/11
Let u(x) = -8*x - 44. Let q be u(-6). Factor -1/3 - q*a**2 + 7/3*a.
-(3*a - 1)*(4*a - 1)/3
Let j(v) be the first derivative of 3 + 2/3*v**3 + 0*v + v**2 - 2/5*v**5 - 1/2*v**4. Let j(p) = 0. Calculate p.
-1, 0, 1
Let g = 86 + -169/2. Factor -g + 1/2*m**2 + m.
(m - 1)*(m + 3)/2
Suppose -5*z + 7 - 7 = 0. Determine o, given that z + 1/5*o - 1/5*o**2 = 0.
0, 1
Let b be 8/(-20)*(-5)/3. Let s(i) = i**2 - 13*i - 28. Let k be s(15). What is g in -8/9 + b*g**k + 8/9*g = 0?
-2, 2/3
Let h(n) be the first derivative of -n**6/60 + n**4/24 + 4*n + 4. Let f(u) be the first derivative of h(u). Find l such that f(l) = 0.
-1, 0, 1
Let b(x) be the first derivative of -x**3/6 + x**2/2 - x/2 + 7. Factor b(f).
-(f - 1)**2/2
Factor -8/3*v**4 + 0 + 0*v + 8/3*v**3 + 0*v**2 + 2/3*v**5.
2*v**3*(v - 2)**2/3
Let k(n) be the second deriva