ate g.
-1, 3
Let s(p) be the third derivative of p**8/1440 - p**7/1260 - p**5/20 - 3*p**2. Let n(o) be the third derivative of s(o). Factor n(t).
2*t*(7*t - 2)
Let j(q) be the second derivative of 1/15*q**4 + 0*q**2 - 4*q + 0 + 1/15*q**3. Determine v so that j(v) = 0.
-1/2, 0
Let q(z) be the second derivative of -z**4/72 + z**3/9 - z**2/4 + 54*z. Suppose q(p) = 0. Calculate p.
1, 3
Let d = 9 + -6. Suppose -6 = -t - 3, 0 = -2*c - d*t + 17. Find m such that -m - 9*m**3 + 12*m**2 + 0 + 0 + c*m - 6 = 0.
-2/3, 1
Factor -2*m**2 - 6*m**2 - 24*m**3 + 0*m**2 + 28*m**3.
4*m**2*(m - 2)
What is v in 26/5*v**4 + 0 + 4/5*v**2 - 22/5*v**3 + 0*v - 8/5*v**5 = 0?
0, 1/4, 1, 2
Let x(o) be the first derivative of -o**6/720 - o**5/120 - o**3/3 - 4. Let b(d) be the third derivative of x(d). Let b(g) = 0. What is g?
-2, 0
Let i(q) be the first derivative of -2*q**3/33 + 2*q/11 + 4. Suppose i(u) = 0. Calculate u.
-1, 1
Let l(x) be the second derivative of -x**7/84 - x**6/12 - 3*x**5/20 + x**4/6 + 2*x**3/3 + 4*x. Factor l(q).
-q*(q - 1)*(q + 2)**3/2
Let y(i) be the first derivative of -2/3*i**3 + i**2 - 4 + 0*i + 1/8*i**4. Factor y(t).
t*(t - 2)**2/2
Solve -3*z - 2*z**4 - 1/3*z**5 - 14/3*z**3 - 2/3 - 16/3*z**2 = 0 for z.
-2, -1
Let d be (-9)/36 + (-446)/(-920). Let i = 10/23 - d. Factor -1/5*r**2 + 2/5*r - i.
-(r - 1)**2/5
Let h = 8 + -5. Suppose 15*l - 10*l = 15. Find o such that o**3 + 0*o + 2*o - h*o**l = 0.
-1, 0, 1
Let o(h) = -6*h**2 - 2*h - 5. Suppose 3*b + 36 = 4*n, -n + 5*b - 5 = -14. Let r = -4 + n. Let a(p) = -p**2 - 1. Let j(m) = r*a(m) - o(m). Factor j(q).
q*(q + 2)
Let a(n) = -3*n**4 + 4*n**3 - n**2 - 2. Let v(y) = -6*y**4 + 7*y**3 - y**2 - 5. Let d(q) = 5*a(q) - 2*v(q). Factor d(h).
-3*h**2*(h - 1)**2
Suppose -10 = 5*w + 20. Let g be (2 - (-16)/w) + 2. Find n such that -g + 11/3*n**2 - n**3 - 8/3*n = 0.
-1/3, 2
Let p(u) be the first derivative of 1/8*u**4 + 0*u + 4 + 0*u**2 + 1/3*u**3. Let p(m) = 0. What is m?
-2, 0
Let m = 1 + 3. Suppose 0 = -r + m*r. Factor 2/7*d - 10/7*d**2 + r + 8/7*d**3.
2*d*(d - 1)*(4*d - 1)/7
Let r = 313/252 + -17/14. Let x(j) be the third derivative of 2*j**2 - 1/315*j**7 + 0 + 1/90*j**5 - r*j**4 + 0*j + 0*j**3 + 1/180*j**6. Factor x(b).
-2*b*(b - 1)**2*(b + 1)/3
Let g(z) be the third derivative of 2*z**6/15 + z**5/15 + z**2. Factor g(y).
4*y**2*(4*y + 1)
Let b(r) be the first derivative of r**8/5880 - r**7/1470 + r**6/1260 + 7*r**3/3 - 4. Let l(d) be the third derivative of b(d). Determine v so that l(v) = 0.
0, 1
Let t(l) be the third derivative of l**7/1785 - 2*l**5/255 + 4*l**2. Factor t(v).
2*v**2*(v - 2)*(v + 2)/17
Let c(p) be the first derivative of -3 + p**3 + 1/4*p**4 + 3/2*p**2 + p. Let c(t) = 0. What is t?
-1
Let p(a) be the third derivative of 0 - 1/480*a**6 + 0*a - 1/80*a**5 + 0*a**3 - 1/48*a**4 - 5*a**2. Solve p(c) = 0.
-2, -1, 0
Let l(n) be the second derivative of -n**4/16 + n**3/3 - n**2/2 - 13*n. Determine u, given that l(u) = 0.
2/3, 2
Let n(g) = -2*g + 16. Suppose -5*c + 4 = 24, -3*s - 2*c + 16 = 0. Let h be n(s). Factor 2/7*j**5 + 0*j**4 + 0 + 0*j**3 + 0*j + h*j**2.
2*j**5/7
Let a(z) = 144*z**5 - 160*z**4 - 132*z**3 + 168*z**2 - 16*z - 12. Let n(x) = x**4 + x**3 + x**2 - 1. Let p(c) = -a(c) - 4*n(c). Determine y so that p(y) = 0.
-1, -1/4, 2/3, 1
Let z(n) = 3*n**2 - 5*n + 7. Let h(k) = 4*k**2 - 7*k + 10. Let c be (-23)/3 - 2/(-3). Let j(w) = c*z(w) + 5*h(w). Solve j(o) = 0.
-1, 1
Suppose 5 = -5*b + 3*l + 19, 3*l - 14 = -2*b. Let p(w) be the first derivative of -1 + 8/5*w**5 + 3/2*w**b + 0*w + 4/9*w**3 + 0*w**2 + 5/9*w**6. Factor p(h).
2*h**2*(h + 1)**2*(5*h + 2)/3
Let y = -1 - -41. Suppose -y = -4*s - s. Factor -s*n**3 - 2 + 0*n - 15*n**2 - 8*n + 3*n**2 - 2*n**4.
-2*(n + 1)**4
Let m(n) be the first derivative of -n**6/720 + n**5/120 + n**4/16 - 4*n**3/3 - 2. Let p(c) be the third derivative of m(c). Suppose p(u) = 0. What is u?
-1, 3
Let h = -16/23 + 286/345. Factor -h*f**3 - 8/15*f**2 - 4/15 - 2/3*f.
-2*(f + 1)**2*(f + 2)/15
Let b(z) be the second derivative of -24*z**7/7 - 152*z**6/5 - 101*z**5 - 146*z**4 - 72*z**3 - 16*z**2 - 44*z. Factor b(o).
-4*(o + 2)**3*(6*o + 1)**2
Factor 10/3*l - 1/3*l**2 - 25/3.
-(l - 5)**2/3
Determine r, given that 12/5*r**4 - 3/5*r**5 - 18/5*r**3 + 0 - 3/5*r + 12/5*r**2 = 0.
0, 1
Let h(g) = 9*g**3 - 2*g**2 + 2*g - 2. Let r(z) = -10*z**3 + 2*z**2 - 3*z + 3. Let y(n) = 3*h(n) + 2*r(n). Factor y(c).
c**2*(7*c - 2)
Let o(w) be the second derivative of -w**7/4200 + w**4/3 + 3*w. Let i(x) be the third derivative of o(x). Factor i(g).
-3*g**2/5
Let p(l) be the third derivative of -1/9*l**3 + 1/315*l**7 + 0*l**5 - 2*l**2 + 1/18*l**4 + 0*l + 0 - 1/90*l**6. Determine w, given that p(w) = 0.
-1, 1
Let r(p) be the second derivative of p**5/5 - p**4 + 2*p**3 - 2*p**2 + 5*p. Let r(v) = 0. Calculate v.
1
Suppose -5*t = -5*c - 30 - 15, -5*t = 3*c - 37. Let x = t - 6. Suppose 0 + 2/7*b + 4/7*b**x + 2/7*b**3 = 0. What is b?
-1, 0
Factor -2 + 2*h**3 - h**5 - 4*h**3 + 2*h**3 + 7*h + 2*h**4 - 8*h**2 + 2*h**3.
-(h - 1)**4*(h + 2)
Let i be (-8)/12*5/30. Let k = 7/18 - i. Factor 1/4*a**2 - 1/4*a - k.
(a - 2)*(a + 1)/4
Let j(x) be the third derivative of -x**5/90 + 25*x**4/144 - x**3/6 - 44*x**2. Factor j(b).
-(b - 6)*(4*b - 1)/6
Let w(u) be the third derivative of 0 - 1/105*u**7 + 0*u - 1/30*u**5 - 3*u**2 + 1/30*u**6 + 0*u**4 + 0*u**3. Factor w(j).
-2*j**2*(j - 1)**2
Let p be 1*3*(-4 - -5). Suppose b - p*b = 0. Factor -1/2*c**3 + 0*c**4 + 0*c**2 + b + 1/4*c**5 + 1/4*c.
c*(c - 1)**2*(c + 1)**2/4
Let x(a) = a**3 + 13*a**2 + 2. Let o be 13*(-2)/4*2. Let y be x(o). Find i such that 1/5 + 2/5*i + 0*i**y - 1/5*i**4 - 2/5*i**3 = 0.
-1, 1
Let s(h) be the first derivative of -1/6*h**2 - 2/15*h**5 + 2 + 1/3*h**3 - 1/3*h + 1/12*h**4. Solve s(n) = 0 for n.
-1, -1/2, 1
Let i(m) be the third derivative of -m**6/60 + m**5/30 + m**4/3 - 4*m**3/3 + 46*m**2. Factor i(b).
-2*(b - 2)*(b - 1)*(b + 2)
Suppose -5*d + 4 = -5*h - 6, 4*d = 16. Factor -2*s + h*s**5 + 4*s**2 - 5*s**2 - 3*s**2 + 4*s**4.
2*s*(s - 1)*(s + 1)**3
Let p(b) be the third derivative of -b**5/390 + b**4/39 - b**3/13 - 8*b**2. Solve p(r) = 0 for r.
1, 3
Let t(p) be the second derivative of p**7/147 - p**5/35 + p**3/21 - 7*p. Find f such that t(f) = 0.
-1, 0, 1
Let n(y) be the third derivative of 0*y + 0 + 1/18*y**5 + 2/45*y**6 - y**2 + 1/54*y**4 + 0*y**3 - 16/945*y**7. Factor n(g).
-2*g*(g - 2)*(4*g + 1)**2/9
Factor 0*n + 3/2*n**4 + 0 - 9/2*n**2 - 3*n**3.
3*n**2*(n - 3)*(n + 1)/2
Let j(y) = 24*y**2 + 16*y - 8. Let p(n) be the first derivative of -2*n**3 - 2*n**2 + 2*n - 2. Let r(o) = -2*j(o) - 9*p(o). Factor r(c).
2*(c + 1)*(3*c - 1)
Let o(h) = -4*h**5 + 8*h**4 + 3*h**3 - 5*h**2 + 4*h - 3. Let u(k) = 4*k**5 - 8*k**4 - 4*k**3 + 4*k**2 - 4*k + 4. Let z(j) = -4*o(j) - 3*u(j). Factor z(t).
4*t*(t - 1)**3*(t + 1)
Let g(p) be the third derivative of 1/120*p**6 - 1/105*p**7 + 0*p + 0*p**5 + 4*p**2 + 0*p**3 + 1/336*p**8 + 0*p**4 + 0. Determine y so that g(y) = 0.
0, 1
Suppose 0 = -5*o - b + 15, -o + 3*b + 0 + 3 = 0. Let 0*m**2 + 3 + 4 + m**o + 9*m**2 + 20 + 27*m = 0. Calculate m.
-3
Let j = 207 + 99. Let n = j - 2138/7. Factor 0 - 2/7*x**2 - n*x.
-2*x*(x + 2)/7
Let t(j) = -6*j**2 + 3*j + 9. Let z(h) = h**3 - 6*h**2 + 3*h + 10. Let n(y) = 4*t(y) - 3*z(y). Let n(d) = 0. What is d?
-2, -1, 1
Let p(k) be the first derivative of 4*k**5/25 + 4*k**4/5 + 16*k**3/15 + 4. Find y such that p(y) = 0.
-2, 0
Factor -81/5*b**3 + 39/5*b**2 - 21/5*b**5 + 0 - 6/5*b + 69/5*b**4.
-3*b*(b - 1)**3*(7*b - 2)/5
Let h(d) = d**2. Let a = 11 + -5. Let y = a - 8. Let x(o) = -o**3 - 12*o**2. Let c(l) = y*x(l) - 22*h(l). Factor c(n).
2*n**2*(n + 1)
Solve -c**3 + 3*c - 3*c**2 + 24 - 7*c**2 - 14*c**2 - 2*c**3 = 0 for c.
-8, -1, 1
Let r(y) = -7*y**2 + 4*y - 9. Let t(s) = -10*s**2 + 6*s - 13. Let b(k) = -7*r(k) + 5*t(k). Let l(d) = d**2 - 3*d + 3. Let h(c) = 3*b(c) + 2*l(c). Factor h(i).
-i**2
Let h(m) be the second derivative of -5/66*m**4 - 8/33*m**3 - 9*m + 0 - 4/11*m**2 - 1/110*m**5. Factor h(w).
-2*(w + 1)*(w + 2)**2/11
Let j(d) be the second derivative of d**4/24 - 5*d**3/3 + 25*d**2 - 41*d + 2. Solve j(c) = 0.
10
Let g = 1341 + -1336. Suppose 44/7*k**3 + 16/7*k**2 - 6/7*k - 4/7 + 36/7*k**4 + 10/7*k**g = 0. What is k?
-1, 2/5
Let g be 2/(-14) - 259/(-441). Factor -2/9*k + 2/9*k**3 + 4/9 -