econd derivative of 0 + 2/3*l**4 + 1/5*l**5 - 8/3*l**3 - 4*l - 16*l**2. Factor t(f).
4*(f - 2)*(f + 2)**2
Let u(z) be the third derivative of -z**8/2520 + z**7/225 - 19*z**6/900 + z**5/18 - 4*z**4/45 + 4*z**3/45 - z**2. Determine h so that u(h) = 0.
1, 2
Let -3/5*q**3 + 0*q**2 + 6/5 + 9/5*q = 0. Calculate q.
-1, 2
Suppose -m + 15 = 5*k, m = 4*m - 4*k + 12. Suppose 6*x - 20 = x. Determine i, given that m*i + 4/13*i**3 + 0 + 2/13*i**2 + 2/13*i**x = 0.
-1, 0
Find c, given that -2*c**2 - 9*c + 7*c + 16*c = 0.
0, 7
Suppose -3*r = 1 + 2. Let g be r - ((-21)/(-9))/(-1). Factor -7/3*f**4 - g*f + 0 - 5/3*f**3 + 16/3*f**2.
-f*(f - 1)*(f + 2)*(7*f - 2)/3
Let -16/9*j**3 - 44/9*j**2 - 2/9*j**4 - 16/3*j - 2 = 0. Calculate j.
-3, -1
Let m(i) be the second derivative of -5*i**9/3024 + i**8/336 - i**7/630 - i**4/12 - 2*i. Let g(z) be the third derivative of m(z). Factor g(k).
-k**2*(5*k - 2)**2
Let m(w) be the second derivative of -w**7/7560 - w**6/2160 + w**5/180 + w**4/4 - 2*w. Let d(g) be the third derivative of m(g). Factor d(s).
-(s - 1)*(s + 2)/3
Let u(i) be the third derivative of i**8/1344 - i**6/240 + i**4/96 + 2*i**2. Factor u(n).
n*(n - 1)**2*(n + 1)**2/4
Let n(i) be the first derivative of 5*i**4/16 + 5*i**3/6 + 5*i**2/8 + 20. Factor n(v).
5*v*(v + 1)**2/4
Let o(g) = -15*g**4 + 45*g**3 - 3*g**2 - 45*g + 18. Let l(d) = 6*d**4 - 18*d**3 + d**2 + 18*d - 7. Let y(k) = 12*l(k) + 5*o(k). Factor y(q).
-3*(q - 2)*(q - 1)**2*(q + 1)
Let g(f) = f - 1. Let o be g(4). Suppose 0 = 5*d + 4*z - 28, -d - d = o*z - 14. Find y such that 1/5*y + 0 + 8/5*y**3 - y**2 - 4/5*y**d = 0.
0, 1/2, 1
Let k = 1 - 5. Let f be (k/12)/(1/(-6)). Factor 0 + 0*c**f + 2/7*c**3 - 2/7*c.
2*c*(c - 1)*(c + 1)/7
Suppose -2*i - 7 = -3*d - 3, 4*d + 2*i - 10 = 0. Find f, given that 2/7*f**5 + 0*f**d + 0*f + 0 + 2/7*f**4 + 0*f**3 = 0.
-1, 0
Let g(y) = -6*y**3 + 2*y**2. Let w(m) = 7*m**3 - 2*m**2. Let l(j) = -3*g(j) - 2*w(j). Solve l(q) = 0 for q.
0, 1/2
Let y = 7/12 - 1/3. Factor 0*p**2 + 0*p + 0*p**4 + 1/4*p**3 + 0 - y*p**5.
-p**3*(p - 1)*(p + 1)/4
Let v(s) = -7*s - 40. Let o be v(-6). Suppose 2*j + 2/3*j**3 - o*j**2 - 2/3 = 0. What is j?
1
Suppose 0 = -4*w + 3*b + 17, -4*w - 4*b - 2 = 2. Suppose -3/2*y**3 + y**w - y**4 + 0 + 0*y = 0. What is y?
-2, 0, 1/2
Let a(h) be the third derivative of h**7/945 - h**6/180 + h**5/90 - h**4/108 + 11*h**2. Factor a(v).
2*v*(v - 1)**3/9
Suppose 47 = -4*p + 7. Let t = -7 - p. Suppose m**4 + 11 - 11 - t*m**5 + 2*m**3 = 0. What is m?
-2/3, 0, 1
Suppose -1 = 2*o - 11. Suppose -o = -4*s + 3. What is f in -2*f**4 - f**s + f**5 + 3*f**2 + f - 2*f = 0?
-1, 0, 1
Let s = 65 + -649/10. Let l(d) be the first derivative of -1/6*d**3 + 1 - s*d**5 + 5/6*d**6 - 17/8*d**4 + d + 7/4*d**2. What is q in l(q) = 0?
-1, -1/2, -2/5, 1
Let c(d) be the third derivative of -1/3*d**3 + 5/6*d**4 + 0 + 0*d - 5/6*d**5 + 9*d**2. Suppose c(y) = 0. Calculate y.
1/5
Let x(j) = -9*j**2 + j - 15. Let h be (-9)/1*2/3. Let v(u) = 8*u**2 - 2*u + 14. Let z = -4 + -3. Let n(s) = h*x(s) + z*v(s). Suppose n(d) = 0. Calculate d.
2
Let b = 9 - 4. Suppose -4*n - 3*h = -9, 5*n + b*h + 0*h = 10. Suppose -j**5 - 2/3 - 22/3*j**n + 1/3*j + 4*j**2 + 14/3*j**4 = 0. What is j?
-1/3, 1, 2
Let a(q) be the third derivative of 5*q**6/24 - q**5/2 + 3*q**4/8 + 13*q**2. Factor a(l).
l*(5*l - 3)**2
Suppose 3*y = 4*y + 80. Let l = y + 129. Let l*q**2 + 3 - 2 + 28*q + 3 = 0. What is q?
-2/7
Let d = -157 + 44. Let l = -335/3 - d. Suppose l*x - 2/3 - 2/3*x**2 = 0. What is x?
1
Let y be (-2 + 2/1)/(1 - 3). Let r(f) be the second derivative of 0*f**2 + y - 1/18*f**6 + 2*f - 1/5*f**5 - 1/9*f**3 - 1/4*f**4. Suppose r(j) = 0. Calculate j.
-1, -2/5, 0
Suppose -17 = 3*r - 20. What is o in o**2 - 1/2*o - r + 1/2*o**3 = 0?
-2, -1, 1
Let s(v) = -v - 1. Let w be s(0). Let d = w + 4. Factor 6*a**d - a**4 + 0*a**3 + 12*a - 4 - 15*a**2 + 2*a**2.
-(a - 2)**2*(a - 1)**2
Factor -11*p - 1 - 6*p + 27*p - 2*p**3 + p**5 - p**4 + 2*p**2 - 9*p.
(p - 1)**3*(p + 1)**2
Let 3/2 + 3/2*d**2 + 3*d = 0. Calculate d.
-1
Let f be -5*3/(-9) + -3. Let h = f - -11/6. Factor i + h*i**4 - 1/2 - i**3 + 0*i**2.
(i - 1)**3*(i + 1)/2
Let o(g) be the first derivative of g**3/18 - 20. Suppose o(k) = 0. What is k?
0
Let i = 132 - 394/3. Factor i*t**3 - 2/3*t**2 - 4/3*t + 0.
2*t*(t - 2)*(t + 1)/3
Let j(w) be the first derivative of w**6/720 - w**3 - 3. Let s(v) be the third derivative of j(v). Factor s(u).
u**2/2
Factor 0*v**2 + 1/2*v - 1/2*v**3 + 0.
-v*(v - 1)*(v + 1)/2
Let d(o) be the second derivative of 1/35*o**5 - 1/21*o**3 + 0*o**2 - 6*o + 1/42*o**4 + 0. Factor d(h).
2*h*(h + 1)*(2*h - 1)/7
Let m(y) be the first derivative of 9*y**5/10 + 2*y**4 - 11*y**3/3 + 2*y**2 + 2*y + 6. Let q(a) be the first derivative of m(a). Suppose q(o) = 0. What is o?
-2, 1/3
Let n(s) = -7*s + 44. Let v be n(6). Factor 0*c**v - 2/5*c**4 + 2/5 - 4/5*c + 4/5*c**3.
-2*(c - 1)**3*(c + 1)/5
Let x = -40 - -40. Let k(m) be the first derivative of -2*m + x*m**4 + 4/3*m**3 - 2/5*m**5 + 0*m**2 + 1. Determine s, given that k(s) = 0.
-1, 1
Let n(u) = -1 + 4*u - 4*u + u**2. Let j(a) be the second derivative of a**4/12 - a**3/6 - a**2 + a. Let x(c) = -2*j(c) + 3*n(c). Factor x(z).
(z + 1)**2
Let r = -12 - -7. Let w be (-2)/(-1) - (r + 7). Factor 1/2*c**2 + w*c**3 + 0 + 1/4*c**5 - 1/4*c - 1/2*c**4.
c*(c - 1)**3*(c + 1)/4
Find c, given that 2/9*c + 0 + 10/9*c**2 = 0.
-1/5, 0
Let p = -4 - -7. Suppose -y - p*y - 36 = 0. Let n(r) = -4*r**3 - 3*r**2 + r + 9. Let i(c) = 2*c**3 + 2*c**2 - 4. Let x(o) = y*i(o) - 4*n(o). Factor x(t).
-2*t*(t + 1)*(t + 2)
Let d(x) be the third derivative of x**5/300 - 2*x**3/15 - 20*x**2. Factor d(h).
(h - 2)*(h + 2)/5
Let i(s) be the third derivative of -s**6/40 - s**5/20 + 5*s**4/8 - 3*s**3/2 + 11*s**2. Factor i(p).
-3*(p - 1)**2*(p + 3)
Let g = 552 + -552. Factor 4/7*p + 4/7*p**2 + g.
4*p*(p + 1)/7
Let z(a) be the first derivative of -3*a**5/70 + a**4/42 + 2*a**3/21 - 5*a - 5. Let i(r) be the first derivative of z(r). Find l, given that i(l) = 0.
-2/3, 0, 1
Let f = -12/233 - -1064/2563. Factor -4/11*p**2 + 0 + 0*p**3 + 2/11*p + f*p**4 - 2/11*p**5.
-2*p*(p - 1)**3*(p + 1)/11
Let x(g) be the third derivative of -g**7/210 - g**6/20 - 13*g**5/60 - g**4/2 - 2*g**3/3 + 11*g**2. Determine s so that x(s) = 0.
-2, -1
Suppose -3/8*m**2 - 3/4 - 9/8*m = 0. What is m?
-2, -1
Let i(a) be the first derivative of -7 + 9/2*a**2 - 2*a**3 + 0*a + 1/4*a**4. Suppose i(n) = 0. What is n?
0, 3
Let h(g) be the first derivative of g**7/280 - g**6/120 - g**5/8 - 3*g**4/8 - 4*g**3/3 + 5. Let q(w) be the third derivative of h(w). Factor q(n).
3*(n - 3)*(n + 1)**2
Let y(z) be the first derivative of -z**7/42 - z**6/15 - z**5/20 + 2*z + 2. Let r(t) be the first derivative of y(t). Suppose r(s) = 0. Calculate s.
-1, 0
Let w be (-48)/40 - 2/(-10). Let z be 3*(-2)/(-14) - w. Suppose -2/7 - 10/7*y**2 + 12/7*y**4 - z*y + 10/7*y**3 = 0. What is y?
-1, -1/2, -1/3, 1
Let a(b) be the third derivative of -b**7/3780 + b**6/540 - b**5/180 + b**4/8 + b**2. Let c(j) be the second derivative of a(j). Suppose c(i) = 0. What is i?
1
Factor 10*v**3 + 3*v - v**3 - 6*v**2 - 6*v**3.
3*v*(v - 1)**2
Let m(x) = -2*x**5 - 6*x**4 - 9*x**3 + 4*x**2 + 11*x + 7. Let i(h) = h**3 - h - 1. Let f(o) = 5*i(o) + m(o). Factor f(w).
-2*(w - 1)*(w + 1)**4
Let n(p) = -3*p**3 - 3*p**2 + 3*p + 3. Let d(q) = -7*q**3 - 7*q**2 + 7*q + 7. Let m(i) = -4*d(i) + 9*n(i). Factor m(o).
(o - 1)*(o + 1)**2
Let z(h) be the third derivative of -h**10/75600 - h**9/15120 + h**7/1260 + h**6/360 - h**5/12 + 4*h**2. Let g(p) be the third derivative of z(p). Factor g(y).
-2*(y - 1)*(y + 1)**3
Let n(j) = j**2 - 8*j - 7. Let f be n(9). Let s be -3 + (13/f - 3). Factor -s*t**2 - 1/2 + t.
-(t - 1)**2/2
Suppose 0*z + z - 2 = 0. Factor w**2 + 1 - 6*w**z + 4*w**2.
-(w - 1)*(w + 1)
Let -4*d**4 - 7*d - 11*d + 16*d**3 + 2*d + 5*d**2 - d**2 = 0. Calculate d.
-1, 0, 1, 4
Suppose 9 = -3*b, 4*b + 7 = 3*g - 17. Suppose -2*w - 2 = 5*s, g*s = 5*w + 2*s - 24. Factor 5*f - w*f + 0*f - f**3.
-f*(f - 1)*(f + 1)
Let d(w) = -w - 1. Let m(u) = -2*u**2 + 8*u + 4. Let k(l) = -4*d(l) - m(l). Factor k(t).
2*t*(t - 2)
Let 9*m**2 - m - 2*m - m + 10*m**3 - 3*m**2 = 0. What is m?
-1, 0, 2/5
Suppose -b + 0*b - 48 = 0. Let c = b + 201/4. Factor -c*v**4 + 0 + 1/2*v**2 + 7/4*v**3 + 0*v.
-v**2