6/300 + i**5/75 + i**4/60 - 2*i**3/15 + 11*i**2 - 3. Factor j(x).
-2*(x - 2)*(x - 1)*(x + 1)/5
Let x(i) be the third derivative of -5*i**8/336 + i**7/21 + 3*i**6/4 + 8*i**5/3 + 115*i**4/24 + 5*i**3 - 61*i**2. Factor x(r).
-5*(r - 6)*(r + 1)**4
Let o(y) = y**3 + y**2. Let u(h) = h**5 + h**4 + 2*h**3 + 2*h**2. Let l(d) = 12*o(d) - 4*u(d). Factor l(k).
-4*k**2*(k - 1)*(k + 1)**2
Let d be (4/664)/(6/8). Let o = 508/1245 - d. Solve 6/5*n**2 + 2/5*n**3 + 6/5*n + o = 0 for n.
-1
Let a(j) be the second derivative of -j**7/840 + j**5/120 - j**3/3 + 3*j. Let l(r) be the second derivative of a(r). Solve l(u) = 0 for u.
-1, 0, 1
What is r in -7/3*r - 2/3*r**3 + 1/3*r**5 - 8/3*r**2 - 2/3 + 2/3*r**4 = 0?
-1, 2
Let n = -7 - -21. Let x be (-1)/(-4) + n/8. Let f(l) = 2*l**2 - 7*l - 1. Let k(u) = 2*u**2 - 6*u. Let p(c) = x*f(c) - 3*k(c). Determine g, given that p(g) = 0.
1
Let q(f) be the second derivative of -5*f**4/16 - 17*f**3/24 - f**2/4 + 9*f + 1. Factor q(p).
-(p + 1)*(15*p + 2)/4
Suppose -5*s + 11 - 1 = 0. Let z(j) be the second derivative of 1/42*j**4 + 0 + j + 1/7*j**s - 2/21*j**3. Determine d, given that z(d) = 0.
1
Suppose 0 = -g - 8 + 10. Let -39*o**3 - 12*o**g - 23*o**4 + 21*o**5 + 3*o**3 + 50*o**4 = 0. Calculate o.
-2, -2/7, 0, 1
Let h(k) = 6*k**2 + k. Let z(w) = 3*w**2. Suppose -l = 2*m - 6*l - 9, -18 = 4*m + 2*l. Let y(c) = m*h(c) + 5*z(c). Factor y(i).
-3*i*(i + 1)
Let u(b) be the second derivative of -b**4/36 + b**3/18 + 35*b - 2. Factor u(m).
-m*(m - 1)/3
Suppose 3*n = -5*o - 43, 2*n = -4*o - 2*n - 28. Let u be o/(-3) - 4/(-12). Find s such that 0 - 4/9*s**u - 2/9*s**3 + 0*s**2 - 2/9*s**5 + 0*s = 0.
-1, 0
Let b = -19 + 21. Let k(u) be the second derivative of -1/21*u**3 + 0 + 0*u**2 + 1/42*u**4 - b*u. Find c such that k(c) = 0.
0, 1
Factor 8*o**4 - o**2 - 7*o**3 + 4*o - 3*o**3 - 13*o**2.
2*o*(o - 2)*(o + 1)*(4*o - 1)
Let m(t) = 27*t**5 - 92*t**4 + 142*t**3 - 74*t**2 + 11*t. Let d(q) = 9*q**5 - 31*q**4 + 47*q**3 - 25*q**2 + 4*q. Let x(g) = 7*d(g) - 2*m(g). Factor x(c).
3*c*(c - 1)**3*(3*c - 2)
Let l be 2*7/(-6) - (3 - 6). Let y(w) be the first derivative of 0*w**2 + l*w - 2/9*w**3 + 1. Suppose y(t) = 0. Calculate t.
-1, 1
Let h(m) = 2*m**3 + 4*m**2 + 13*m - 11. Let i(v) = 2*v**3 - v**3 - 8*v**2 + 10*v**2 - 6 + 7*v. Let d(x) = 6*h(x) - 11*i(x). Determine r so that d(r) = 0.
-1, 0
Find m such that 0*m + 14/3*m**4 + 0 + 6*m**3 + 4/3*m**2 = 0.
-1, -2/7, 0
Let t(f) = f**2 - 8*f - 7. Let v be t(9). Let c(p) be the first derivative of -v - 1/2*p + 1/6*p**3 + 0*p**2. What is h in c(h) = 0?
-1, 1
Let r(z) = -z**3 + z - 1. Let u(v) = 16*v**3 + 10*v**2 - 8*v + 12. Let f(t) = 12*r(t) + u(t). Factor f(o).
2*o*(o + 2)*(2*o + 1)
Let z(p) be the second derivative of -p**9/3024 - p**3/6 - p. Let b(s) be the second derivative of z(s). Factor b(n).
-n**5
Let q = 14 + -12. Let b(c) be the first derivative of 0*c + 2/3*c**3 + 6/5*c**5 + 0*c**2 - 3/2*c**4 + q - 1/3*c**6. Let b(j) = 0. What is j?
0, 1
Let i(k) = 2*k**2 + 17*k + 25. Let h be i(-7). Let z(j) be the first derivative of 0*j**3 - 1/20*j**h + 1/10*j**2 + 1 + 0*j. Factor z(l).
-l*(l - 1)*(l + 1)/5
Let n be (1 + -1 - -2)/(-2). Let t(m) = -m**3 + m**2 - m - 1. Let q be t(n). Factor 0 - 1/3*a**4 - 1/3*a**3 + 1/3*a + 1/3*a**q.
-a*(a - 1)*(a + 1)**2/3
Determine j so that 6/5*j**4 - 8/5*j**2 + 0*j**3 + 2/5*j**5 + 0 + 0*j = 0.
-2, 0, 1
Suppose -p - 3*o = -2*o - 7, 3*o = 3*p + 3. Let q(j) = 23*j**2 - 3*j + 5. Let y(s) = 11*s**2 - s + 3. Let t(d) = p*q(d) - 5*y(d). Find k, given that t(k) = 0.
0, 2/7
Factor -j - 4/3*j**2 + 4/3*j**4 + 0 + 2/3*j**3 + 1/3*j**5.
j*(j - 1)*(j + 1)**2*(j + 3)/3
Suppose -4*u + 2*p = -0*p - 86, 0 = 2*u + 2*p - 28. Let k = u - 16. Find y such that 28/3*y - 38/3*y**2 - 8/3*y**4 + 25/3*y**k + 1/3*y**5 - 8/3 = 0.
1, 2
Let i(w) be the second derivative of -w**6/195 + 7*w**5/130 - 5*w**4/26 + w**3/3 - 4*w**2/13 + 27*w. Suppose i(y) = 0. Calculate y.
1, 4
Factor -13*j - 12 + 54*j - 20*j - 6*j**2 - 3*j**3.
-3*(j - 1)**2*(j + 4)
Let s be (-1)/((5/1)/85). Let k = 20 + s. Determine h so that 0*h + 0 + 1/3*h**k - 2/3*h**2 = 0.
0, 2
Let s(d) be the second derivative of d**5/4 - 5*d**3/2 - 5*d**2 + 2*d. Suppose s(y) = 0. What is y?
-1, 2
Let s(x) = 3*x**2 + 2*x - 9. Let o(j) = -j**2 + j + 1. Let c(w) = -20*o(w) - 5*s(w). Factor c(a).
5*(a - 5)*(a - 1)
Let l be (2 - 1)/((6/3)/6). Factor -1/3*a**4 + 0 + a**2 - 2/3*a + 0*a**l.
-a*(a - 1)**2*(a + 2)/3
Let j(n) = 6*n**5 - n**4 + 5*n**3 - 2*n**2 - 11*n + 3. Let a(s) = s**5 - s**2 - s + 1. Let t(f) = -14*a(f) + 2*j(f). Determine z so that t(z) = 0.
-2, -1, 1, 2
Suppose -57 = -2*v - 7. Factor -3*d**3 + v*d**5 - 6*d**4 + 2*d**3 - 28*d**5 - 2*d**3.
-3*d**3*(d + 1)**2
Let d(g) = -3*g**3 + 3*g + 4*g**2 - 1 + g - g**3. Let m(p) = 8*p**3 - 8*p**2 - 8*p + 1. Let t(u) = -7*d(u) - 3*m(u). Factor t(o).
4*(o - 1)**2*(o + 1)
Solve -4*w - 13 + w + 26 + w**2 - 11 = 0 for w.
1, 2
Let l(p) be the third derivative of -5*p**8/1008 + p**7/126 + p**6/36 - 5*p**2. Factor l(g).
-5*g**3*(g - 2)*(g + 1)/3
What is h in 6/5 - 8/5*h + 2/5*h**2 = 0?
1, 3
Factor 20/3*u + 1/3*u**2 + 100/3.
(u + 10)**2/3
Let h(i) be the second derivative of -i**5/10 - i**4/4 - i**3/6 + 60*i. Let h(y) = 0. Calculate y.
-1, -1/2, 0
Let a = 21 + -19. Let h(y) be the first derivative of -1 - 2/3*y**3 + 0*y + y**a. What is v in h(v) = 0?
0, 1
Find r such that -1/2 - 15/4*r**2 + 17/4*r = 0.
2/15, 1
Let r(k) be the first derivative of -k**5/10 + k**4/21 + k**3/3 - 2*k**2/7 - 3*k - 2. Let h(c) be the first derivative of r(c). Find t such that h(t) = 0.
-1, 2/7, 1
Let f(p) be the second derivative of p**7/105 - 4*p**6/75 + 3*p**5/25 - 2*p**4/15 + p**3/15 + 15*p. Determine a, given that f(a) = 0.
0, 1
Let o(v) be the third derivative of -v**5/210 - v**4/42 - 27*v**2. Factor o(t).
-2*t*(t + 2)/7
Suppose -2*m - 33 = m. Let g(l) be the first derivative of l**2 + 2. Let x(o) = o**2 + 9*o + 1. Let f(c) = m*g(c) + 2*x(c). Determine h, given that f(h) = 0.
1
Solve 8 - 2 + 4*y - 8*y**2 + 6*y**2 = 0.
-1, 3
What is y in 4/7 - 4/7*y - 5/7*y**2 + 3/7*y**3 = 0?
-1, 2/3, 2
Suppose -i = i - 4. Let c = 2 + i. Factor -3*v**2 + 3 - 6*v**2 + 3*v**2 + c*v**3 - 1.
2*(v - 1)**2*(2*v + 1)
Suppose 4*s - 7*s + 9 = 0. Suppose -3 + 18*d - 1 - 54*d**2 + 126*d**4 + 16*d - 28*d**2 + 6*d**s = 0. Calculate d.
-1, 2/7, 1/3
Let p(f) be the first derivative of 2/5*f**5 + 0*f**2 + 0*f + 0*f**3 + 1/2*f**4 + 5. Determine q so that p(q) = 0.
-1, 0
Let 144/5*d - 108/5 - 39/5*d**2 + 3/5*d**3 = 0. Calculate d.
1, 6
Suppose b + 3*b = 4*m - 4, b - 5*m + 13 = 0. Suppose 12 - 11*w**b + 24*w - 21*w**2 + 36*w**4 - 24*w**3 - 16 = 0. Calculate w.
-1, 1/3, 1
Let n be (-3)/(-4) + 17/4. Let h = n - 2. Factor -3*r**3 + 6*r**2 + 0*r**h + 0*r**2.
-3*r**2*(r - 2)
Let p(w) be the second derivative of 3*w**5/10 + 5*w**4/6 + 2*w**3/3 - 11*w. What is g in p(g) = 0?
-1, -2/3, 0
Suppose 2*c - 2*f - 2*f = 0, -5*c + 3*f + 35 = 0. Find t such that 12*t**2 + c*t - 44*t**2 - 12*t**2 - 2*t = 0.
0, 2/11
Let g(j) = 78*j**3 - 66*j**2 - 210*j - 100. Let o(i) = -7*i**3 + 6*i**2 + 19*i + 9. Let v(s) = -6*g(s) - 68*o(s). Factor v(f).
4*(f - 3)*(f + 1)*(2*f + 1)
Let w(h) = -13*h**4 - 4*h**3 + 7*h**2 + 4*h - 6. Let j(g) = 14*g**4 + 5*g**3 - 7*g**2 - 5*g + 7. Let k(u) = 6*j(u) + 7*w(u). Determine m so that k(m) = 0.
-1, 0, 2/7, 1
Let n(g) be the third derivative of g**5/30 - g**3/3 - 7*g**2. Determine d so that n(d) = 0.
-1, 1
Let h(a) be the third derivative of 0*a - 5*a**2 + 0 - 1/30*a**5 + 1/20*a**6 + 0*a**3 + 0*a**4. Factor h(o).
2*o**2*(3*o - 1)
Let s(b) = 2*b - 8. Let y be s(6). Factor -y*h**4 - 2*h**3 + 2*h + 0*h**3 + 5*h**4 - 1 + 0.
(h - 1)**3*(h + 1)
Solve 6*a + 8*a**2 + 14*a**2 - a**3 + 0*a**2 - 17*a**2 = 0 for a.
-1, 0, 6
Let t(p) be the first derivative of p**6/900 + p**5/150 - 7*p**3/3 - 8. Let o(b) be the third derivative of t(b). Determine i so that o(i) = 0.
-2, 0
Let o = -675 - -677. Factor -2/7*d**o - 10/7*d - 8/7.
-2*(d + 1)*(d + 4)/7
Let h(m) = -m**3 - 3*m**2 + 2*m + 1. Let j be h(-3). Let q = 7 + j. Suppose 0*f + 1/3*f**q + 0 = 0. Calculate f.
0
Let v(s) be the first derivative of -3*s**4/4 - 24*s**3 - 288*s**2 - 1536*s + 32. Factor v(y).
-3*(y + 8)**3
Factor 6/13*d**3 + 6/13*d**4 + 0 + 2/13*d**5 + 0*d + 2/13*d**2.
2*d**2*(d + 1)**3/13
Let s = 28 - 22. Factor -s*m**4 - 