 -14. Factor 0*s**3 + 2/11*s + 0 - 2/11*s**5 + 4/11*s**2 - 4/11*s**u.
-2*s*(s - 1)*(s + 1)**3/11
Factor -2/7*r + 1/7*r**2 + 1/7.
(r - 1)**2/7
Let v(k) be the third derivative of k**6/40 + k**5/10 - 22*k**2. Factor v(u).
3*u**2*(u + 2)
Suppose 3*z - 12 = 3*f, -5*f + 6 - 16 = -3*z. Solve 4/9*o**3 - 4/9*o**2 - 2/9*o**z + 2/9 - 2/9*o + 2/9*o**4 = 0.
-1, 1
Factor 0 - 1/5*z**2 - 3/5*z.
-z*(z + 3)/5
Let f(g) be the second derivative of g**7/273 - g**6/195 + g. Factor f(b).
2*b**4*(b - 1)/13
Let n(g) be the third derivative of 1/120*g**6 + 1/50*g**5 - 4/15*g**3 + 0 + 3*g**2 + 0*g + 1/1050*g**7 - 1/30*g**4. Factor n(s).
(s - 1)*(s + 2)**3/5
Solve 27*t**2 - 33*t**2 + 6 - 1 - 2*t**3 + 3 = 0 for t.
-2, 1
Find j, given that 6*j**2 - 10 + 3*j**5 + 10 - 6*j**4 - 3*j = 0.
-1, 0, 1
Let z(g) be the third derivative of 1/480*g**6 - 2*g**2 + 0*g**3 + 0*g**5 + 0*g - 1/210*g**7 + 1/448*g**8 + 0 + 0*g**4. Solve z(u) = 0 for u.
0, 1/3, 1
Let z = -580 - -2902/5. Suppose 4/5*p - 2/5 - z*p**2 = 0. Calculate p.
1
Let s = -25 + 16. Let c be ((-3)/s)/(1/9). Determine d so that -11/3*d + 2/3 + c*d**2 = 0.
2/9, 1
Solve -1/5*y**2 + 2/5*y + 3/5 = 0 for y.
-1, 3
Determine n so that -4/3*n**5 + 14/3*n**4 - 10/3*n**3 - 10/3*n**2 - 4/3 + 14/3*n = 0.
-1, 1/2, 1, 2
Let v(t) = 2*t**3 - 10*t**2 + 8*t - 6. Let w(h) = 1. Let x(l) = -v(l) - 6*w(l). Factor x(y).
-2*y*(y - 4)*(y - 1)
Let g(c) = c**2 - 12*c - 25. Let z be g(14). Let m = -3 + 7/2. Factor 1/2*n - 2*n**4 + z*n**3 + 0 + m*n**5 - 2*n**2.
n*(n - 1)**4/2
Suppose 5*k - 6*k + 5 = 0. Let y(h) be the second derivative of 1/20*h**k + 0 + 0*h**2 + 1/12*h**4 + 3*h + 0*h**3. Find r, given that y(r) = 0.
-1, 0
Let y(r) be the third derivative of -r**9/60480 - r**8/6720 - r**7/2520 - 7*r**4/24 - r**2. Let j(o) be the second derivative of y(o). Factor j(u).
-u**2*(u + 2)**2/4
Let t = 26/9 - 214/99. Factor -t - 2/11*c**2 - 8/11*c.
-2*(c + 2)**2/11
Let t(i) = 6*i**5 + 6*i**4 + 5*i**2 - 5. Let v(d) = d**5 - d**3 + d**2 - 1. Let a(c) = 4*t(c) - 20*v(c). Suppose a(r) = 0. Calculate r.
-5, -1, 0
Let s(r) be the third derivative of -r**8/60480 - r**7/5040 + r**5/15 - r**2. Let x(i) be the third derivative of s(i). Suppose x(q) = 0. What is q?
-3, 0
Let h(l) = l**4 + 9*l**3 - 5*l**2 - l. Let o(u) = -10*u**4 - 100*u**3 + 55*u**2 + 10*u. Let s(j) = 45*h(j) + 4*o(j). Factor s(w).
5*w*(w - 1)*(w + 1)**2
Let m(g) be the second derivative of 0 + 2*g - 2*g**3 - 2/5*g**5 - g**2 - 3/2*g**4. Find n, given that m(n) = 0.
-1, -1/4
Let z(l) be the third derivative of l**7/1365 + l**6/130 + l**5/30 + l**4/13 + 4*l**3/39 - 12*l**2. Factor z(i).
2*(i + 1)**2*(i + 2)**2/13
Let z(g) be the third derivative of -g**7/8820 + g**6/1260 - g**4/24 - 3*g**2. Let u(v) be the second derivative of z(v). Factor u(y).
-2*y*(y - 2)/7
Let g(t) be the third derivative of 7/36*t**4 + 0*t + 1/90*t**6 + 2/315*t**7 + 0 - t**2 - 4/45*t**5 - 2/9*t**3 - 1/504*t**8. Suppose g(b) = 0. Calculate b.
-2, 1
Let q(l) be the second derivative of -l**9/4536 + l**8/840 - l**7/420 + l**6/540 - 2*l**3/3 + 2*l. Let x(n) be the second derivative of q(n). Solve x(t) = 0.
0, 1
Let a(w) = w**5 - w**3 + w**2 - 1. Let d(p) = 2*p**5 - 3*p**3 + p**2 + p - 1. Let y(k) = -a(k) + d(k). Solve y(h) = 0.
-1, 0, 1
Factor -1/2*q - 3/4*q**2 + 0.
-q*(3*q + 2)/4
Let r(y) = -y**2 - 2*y + 2. Let f(h) = 4*h**2 + 6*h - 7. Let z(s) = -2*f(s) - 7*r(s). What is l in z(l) = 0?
0, 2
Factor -8 - 7 - 20*c + 1383*c**2 - 1388*c**2.
-5*(c + 1)*(c + 3)
Let p(v) be the first derivative of 2*v**6/3 + 28*v**5/25 + 3*v**4/20 - 7*v**3/15 - v**2/5 + 33. Find l such that p(l) = 0.
-1, -1/2, -2/5, 0, 1/2
Let y(s) be the second derivative of s**6/150 + s**5/50 - s**4/20 - 10*s. Determine d, given that y(d) = 0.
-3, 0, 1
Let a(g) be the third derivative of g**8/10080 + g**7/1260 + g**5/12 + 3*g**2. Let d(u) be the third derivative of a(u). Factor d(b).
2*b*(b + 2)
Let f(t) be the third derivative of -1/3*t**4 + 0*t + 0 - 4/3*t**3 - 1/30*t**5 - 3*t**2. Factor f(j).
-2*(j + 2)**2
Let z be 3 - 8/900*336. Let j(f) be the second derivative of 0*f**2 - 1/10*f**4 + 0 - 3*f - 3/50*f**5 - 1/15*f**3 - z*f**6. Determine c, given that j(c) = 0.
-1, 0
Determine n, given that -8/5 - 6/5*n**4 - 2/5*n**5 + 0*n + 14/5*n**2 + 2/5*n**3 = 0.
-2, -1, 1
Let l(d) be the second derivative of 3*d + 1/5*d**6 - 1/2*d**4 + 0 + 0*d**5 + 1/2*d**3 + 0*d**2 - 1/14*d**7. Factor l(q).
-3*q*(q - 1)**3*(q + 1)
Let x(j) be the first derivative of j**4/18 - 14*j**3/27 + 2*j**2/3 + 12. Solve x(w) = 0 for w.
0, 1, 6
Let t(r) = -20*r**2 - 6*r - 18. Let c(q) = -q**2 - q. Let h(s) = -36*c(s) + 2*t(s). Factor h(d).
-4*(d - 3)**2
Let u = 25 - 22. Factor -2/3*a**2 + 8/3*a**u - 4/3*a + 0 + 2*a**4.
2*a*(a + 1)**2*(3*a - 2)/3
Let -1/2*u**3 + u**2 + 0 + 0*u = 0. Calculate u.
0, 2
Let l(s) = -2*s**3 - 3*s**2 - 5. Let a(q) = 2*q - 9. Let u be a(7). Let f(j) = 1 + 0 + 4*j**2 - 3*j**2. Let i(t) = u*f(t) + l(t). Factor i(m).
-2*m**2*(m - 1)
Let t be (-2)/(-12) + 24/48. Determine z, given that -1/3*z**2 - 1/3*z + 0 + t*z**3 = 0.
-1/2, 0, 1
Let c = 5 - 13. Let j = -4 - c. Let j - 4 + 1 - f**2 = 0. What is f?
-1, 1
Factor 2/3*f - 2*f**2 + 2*f**3 + 0 - 2/3*f**4.
-2*f*(f - 1)**3/3
Let w(k) be the second derivative of -k**5/20 + k**4/6 + 5*k**3/6 - 3*k**2 + 7*k. Solve w(i) = 0 for i.
-2, 1, 3
Let x = -872/9 + 4253/36. Let t = -21 + x. Factor k**4 - 1/4*k - t*k**5 - 3/2*k**3 + k**2 + 0.
-k*(k - 1)**4/4
Solve 6*k**2 - 3 - 3/2*k - 3/2*k**5 - 3*k**4 + 3*k**3 = 0.
-2, -1, 1
Suppose 5*l - 33 + 3 = 0. Suppose 0*n = 3*n - l. Factor -v**4 - 4*v**2 + 3*v**2 - n*v**3 + 2 - 2.
-v**2*(v + 1)**2
Let x(y) be the third derivative of -y**6/30 - y**5/10 + y**3/3 + 6*y**2. Factor x(h).
-2*(h + 1)**2*(2*h - 1)
Let v(q) be the third derivative of 27*q**8/28 + 114*q**7/35 - 20*q**6/3 - 92*q**5/5 + 48*q**4 - 128*q**3/3 + 18*q**2 - 1. Determine m so that v(m) = 0.
-2, 4/9, 1
Let w(o) be the first derivative of -o**4/4 + 4*o**3/3 - 5*o**2/2 + 2*o - 1. Determine z so that w(z) = 0.
1, 2
Suppose 2*d - 14*d + 5*d**2 + 11*d**2 - 3*d**3 - d**3 = 0. What is d?
0, 1, 3
Let j(b) = -b**2 + b + 1. Let f be j(0). Factor -18*d**2 + 14*d**4 - 6*d - 4*d + 10*d**3 + f + 3.
2*(d - 1)*(d + 1)**2*(7*d - 2)
Let w be 64/(-18) - ((-12)/3 - 0). Factor -2/9*l**2 - 2/9 + w*l.
-2*(l - 1)**2/9
Let o(x) be the second derivative of -9*x**5/100 - 17*x**4/20 - 21*x**3/10 + 27*x**2/10 + 6*x. Factor o(t).
-3*(t + 3)**2*(3*t - 1)/5
Let n(a) be the first derivative of 0*a + 0*a**2 - 3 + a**3 + 3/5*a**5 + 3/2*a**4. Factor n(w).
3*w**2*(w + 1)**2
Suppose 3*k + 4 = 4*k. Let f(n) = -n + 4. Let m be f(k). Factor 9*p**2 - 3*p**3 - 9*p + 3*p**3 + 3 - 3*p**3 + m*p**3.
-3*(p - 1)**3
Let r = -100/3 - -7001/210. Let m(y) be the third derivative of -r*y**5 - 1/735*y**7 - 1/210*y**6 + 0*y**3 + 2*y**2 + 0 + 0*y + 0*y**4. Factor m(u).
-2*u**2*(u + 1)**2/7
Let i = 4491/9815 + 3/755. What is k in i - 4/13*k - 2/13*k**2 = 0?
-3, 1
Let g(u) = -4*u**2 + 9*u. Let n(r) = 4*r**2 - 10*r. Let w(x) = 2*g(x) + 3*n(x). Find j such that w(j) = 0.
0, 3
Suppose v = -2*g - 7, g - 2*v = 3*v + 24. Let j be (0 + g)/1 - -5. Suppose 2*y - 3*y**2 + j*y**2 - 4*y = 0. Calculate y.
0, 2
Let q(h) be the first derivative of -8/17*h + 4/17*h**2 + 4 - 2/51*h**3. Factor q(x).
-2*(x - 2)**2/17
Let h(c) be the second derivative of c**4/15 + c. Factor h(s).
4*s**2/5
Determine m, given that 0*m + 0 - 2/3*m**3 - 1/9*m**4 - m**2 = 0.
-3, 0
Let d(z) = -z + 9. Let s be d(6). What is y in 5*y - y**2 + 6 - 4*y**2 + s*y**2 - y = 0?
-1, 3
Let r = 4/13 - 11/78. Let y(m) be the first derivative of -m - 2 - r*m**3 - 3/4*m**2. Let y(q) = 0. What is q?
-2, -1
Let z = 4319/498 - 1/166. Factor 64/3*h**2 - 76/3*h**3 + 4/3 - 10/3*h**5 - z*h + 44/3*h**4.
-2*(h - 1)**4*(5*h - 2)/3
Let i(h) be the third derivative of -h**8/20160 + h**5/20 + 3*h**2. Let d(c) be the third derivative of i(c). Let d(v) = 0. What is v?
0
Let m(s) be the second derivative of -s**5/50 - s**4/10 - 2*s**3/15 + 44*s. Factor m(n).
-2*n*(n + 1)*(n + 2)/5
Let t(u) = 6*u**3 + 23*u**2 - 11*u - 25. Let o be t(-4). Let -48/5*l**2 + 0 + 21/5*l**4 - 3*l**o - 12/5*l = 0. Calculate l.
-1, -2/7, 0, 2
Factor 0*z + 2/13*z**5 + 0 + 0*z**2 - 6/13*z**4 + 4/13*z**3.
2*z**3*(z - 2)*(z - 1)/13
Let k(d) be the third derivative of -1/2*d**3 + 1/5*d**5 + 0 - 6*d**2 + 0*d - 3