 3. Let q(c) = -5*p(c) + 4*t(c). Factor q(n).
n*(2*n - 1)
Let i be (-3 + 1)*1/(-1). Suppose 3*b = b + i. Let x(l) = l**4 + l + 1. Let f(v) = 6*v**4 + 2*v**3 - 2*v**2 + 2*v + 2. Let u(r) = b*f(r) - 2*x(r). Factor u(d).
2*d**2*(d + 1)*(2*d - 1)
Factor 2/9 + 10/9*f + 8/9*f**2.
2*(f + 1)*(4*f + 1)/9
Let k(m) be the second derivative of -m**4/3 - 8*m**3/3 - 6*m**2 - 7*m. Factor k(a).
-4*(a + 1)*(a + 3)
Let d be ((-30)/(-5))/(2 - 0). Let u(y) be the second derivative of 1/10*y**5 + 0*y**d - 1/30*y**6 - 1/12*y**4 + 0*y**2 + 0 + y. Let u(q) = 0. Calculate q.
0, 1
Let g(z) be the second derivative of -z**8/336 - z**7/105 + z**5/30 + z**4/24 + z**2 - 3*z. Let v(b) be the first derivative of g(b). Solve v(y) = 0 for y.
-1, 0, 1
Let u(w) be the third derivative of 9*w**6/40 - 3*w**5/2 + 7*w**4/2 - 4*w**3 + 7*w**2. Factor u(f).
3*(f - 2)*(3*f - 2)**2
Let d(v) = 3*v**3 + 3*v**2 - 10*v + 4. Let w(p) = p - 1. Let t(n) = -d(n) - 4*w(n). Factor t(i).
-3*i*(i - 1)*(i + 2)
Suppose -3*c = -2*c. Let a(o) be the second derivative of 1/10*o**6 - 1/4*o**5 + 1/6*o**3 - o + 1/12*o**4 + 0 + c*o**2. Let a(q) = 0. Calculate q.
-1/3, 0, 1
Let j(n) be the third derivative of n**5/120 + n**4/24 + n**3/12 + 23*n**2. Factor j(u).
(u + 1)**2/2
Let n(b) be the third derivative of -b**8/560 + 23*b**7/525 - 101*b**6/300 + 3*b**5/5 + 77*b**4/120 - 49*b**3/15 + b**2 - 4. Determine m, given that n(m) = 0.
-2/3, 1, 7
Let w(y) be the second derivative of -1/15*y**6 + 0*y**2 + 0*y**4 - 1/63*y**7 + 2*y + 0 - 1/15*y**5 + 0*y**3. Factor w(l).
-2*l**3*(l + 1)*(l + 2)/3
Find c, given that -103*c**4 - 5*c**4 + 396*c**3 - 23 + 208*c + 9 - 18 - 456*c**2 = 0.
1/3, 2/3, 2
Let s(v) be the first derivative of 2*v**7/105 - v**6/15 + v**4/3 - 2*v**3/3 + 5*v**2 - 9. Let a(h) be the second derivative of s(h). Factor a(f).
4*(f - 1)**3*(f + 1)
Let d be (1 + -2)/(0 - (-5)/(-15)). Let j = 9/25 + 473/75. Factor 2/3*g**5 + 10/3*g + 2/3 + 10/3*g**4 + 20/3*g**2 + j*g**d.
2*(g + 1)**5/3
Suppose 2/3*a**2 + 0 - 4/3*a = 0. What is a?
0, 2
Let k be 30/20*(-2 + (-7)/(-3)). Let c = 3363/1924 + 1/481. Factor c*n**2 + n**3 - 1/4 + k*n.
(n + 1)**2*(4*n - 1)/4
Suppose -j = 3*j - 20. Factor -2*k**2 + 2*k**4 - 5*k**2 + j*k**2.
2*k**2*(k - 1)*(k + 1)
Let t(h) be the second derivative of h**4/42 - 10*h**3/21 + 25*h**2/7 - 10*h. Factor t(l).
2*(l - 5)**2/7
Let f = 9 - 5. Factor 3*a**3 - 3*a + f*a**2 + 1 - 2*a**2 + 0*a**2 - 3.
(a - 1)*(a + 1)*(3*a + 2)
Let p(s) = 4*s**2 - 8*s + 4. Let u = -44 + 18. Let t(v) = -v**2 + 2*v - 1. Let g(z) = u*t(z) - 6*p(z). Factor g(x).
2*(x - 1)**2
Suppose 0 = -3*k - 11*y + 8*y - 9, -5*y = -k + 27. Factor 49/4*t**3 - 6*t - 1 - 21/4*t**k.
(t - 1)*(7*t + 2)**2/4
Let m(l) be the first derivative of 2*l**3/3 + 4*l**2 - 3. Let v(z) = -2*z**2 - 7*z. Let a(u) = -5*m(u) - 6*v(u). Factor a(s).
2*s*(s + 1)
Let u(k) = k**2 - 6*k + 5. Let n be u(7). Let p be ((-1)/(-2))/(3/n). Let 2*m**2 - 4*m**3 + 4*m + m**3 - p - m = 0. Calculate m.
-1, 2/3, 1
Let q(w) be the first derivative of 1/5*w + 13/10*w**2 - 1 + 56/15*w**3 + 4*w**4. Factor q(v).
(4*v + 1)**2*(5*v + 1)/5
Let r = -274 - -824/3. Factor 0 + r*n - 8/3*n**2.
-2*n*(4*n - 1)/3
Let f(n) be the second derivative of n**4/30 - 2*n**3/3 + 5*n**2 - 14*n. Factor f(c).
2*(c - 5)**2/5
Let x(r) be the second derivative of r**4/4 - 3*r**3/2 - 6*r**2 - 8*r. Suppose x(l) = 0. Calculate l.
-1, 4
Let m(p) be the third derivative of -p**6/240 - p**5/60 + 8*p**2. Factor m(u).
-u**2*(u + 2)/2
Suppose -4*s + 2*k + 16 = -6, -5*s + 45 = k. Let f be ((-18)/(-5))/(s/20). Factor -2*b**2 + 2*b**4 - b**2 + b**2 - 2*b**3 + 11*b**5 - f*b**5.
2*b**2*(b - 1)*(b + 1)**2
Let r = -119/4 + 30. Let j(z) be the first derivative of r*z**3 + 1/20*z**5 - 1/8*z**2 - 3 - 3/16*z**4 + 0*z. Find x such that j(x) = 0.
0, 1
Let k(u) = u**2 - 3*u - 2. Let i be k(5). Suppose -i = -3*g - 2. Solve -z - 1/2 - 1/2*z**g = 0 for z.
-1
Let c(a) be the first derivative of -7*a**3/9 + 2*a**2 + 4*a/3 + 4. Find f such that c(f) = 0.
-2/7, 2
Factor 4*f**2 - 3*f**4 - 10 + 10 - f**4.
-4*f**2*(f - 1)*(f + 1)
Let -2 + 149*v**2 - 1 - 1 - 145*v**2 = 0. What is v?
-1, 1
Suppose -q = -0*q - 2. Suppose -2*o + 2*y - 1 + 17 = 0, 2*y = -3*o + 4. Find g such that -4*g**q - 1/2*g**o + 0 - 5/2*g**3 - 2*g = 0.
-2, -1, 0
Let w(f) be the third derivative of -f**7/70 - f**6/12 - 7*f**5/45 - f**4/9 - 2*f**2. Solve w(v) = 0 for v.
-2, -2/3, 0
Let v be (40/10)/((-12)/(-2)). Determine s, given that 5/3*s + 2/3 + v*s**2 = 0.
-2, -1/2
Factor 2 - 3*t**4 + 33*t**5 - 34*t**5 - 3*t**3 - t**2 - 2.
-t**2*(t + 1)**3
Let y(c) be the third derivative of -c**7/1155 + c**5/165 - c**3/33 - 6*c**2. Solve y(k) = 0 for k.
-1, 1
Let u(g) be the second derivative of g**4/36 + g**3 + 27*g**2/2 + 10*g. Suppose u(n) = 0. Calculate n.
-9
Let l be (3/(-9))/(3/18). Let t be 1/l*(1 - 1). Solve t + 0*q - 1/5*q**5 - 1/5*q**2 - 3/5*q**3 - 3/5*q**4 = 0 for q.
-1, 0
Let k(z) be the second derivative of -z**7/168 - z**6/120 + z**5/40 - 2*z. Factor k(o).
-o**3*(o - 1)*(o + 2)/4
Let w(b) be the third derivative of -b**8/112 + b**7/35 - b**5/10 + b**4/8 + 25*b**2. Find s such that w(s) = 0.
-1, 0, 1
Let i be (-3 + 40/15)*247. Let g = i + 83. Factor g*k + 0 - 2/3*k**2.
-2*k*(k - 1)/3
Let -2*s**3 + 14/5*s**2 - 8/5 + 16/5*s = 0. What is s?
-1, 2/5, 2
Let n(z) be the third derivative of -z**7/1260 - z**6/120 - z**5/360 + z**4/6 - 4*z**3/9 + 5*z**2. Factor n(s).
-(s - 1)**2*(s + 4)**2/6
Let s(t) = t - 10. Let w be s(10). Solve -4/5*q**3 + 2/5*q**5 + w*q**4 + 0*q**2 + 0 + 2/5*q = 0.
-1, 0, 1
Let o be (-1)/((-20)/4)*(-75)/(-5). Determine d so that 9/2*d - 9/2*d**3 + o - 21/2*d**2 + 15/2*d**4 = 0.
-1, -2/5, 1
Let r(c) = -c**2 - 9*c - 14. Let u be r(-7). What is s in 3/4*s**3 - 3/4*s**2 + 0 + u*s = 0?
0, 1
Let t(y) be the first derivative of -8*y**3 + 10*y**2 + 24. Suppose t(r) = 0. What is r?
0, 5/6
Let p(g) = -g**3 - 2*g**2 - 3*g - 1. Let z be p(-2). Factor w - z*w**3 + 4*w**3 - w**3 - w**2 + w**4 + w.
w*(w - 2)*(w - 1)*(w + 1)
Let c be 1*0/(-2 - 0). Let i(n) be the first derivative of c*n**2 + 1 + 1/6*n**3 + 0*n. Factor i(b).
b**2/2
Let v(o) be the second derivative of o**4/2 - 9*o**3/2 - 15*o**2/2 + 12*o. Factor v(z).
3*(z - 5)*(2*z + 1)
Let -493*x - x**2 + 509*x + 8 - 16*x**3 - x**2 - 6*x**4 = 0. Calculate x.
-2, -1, -2/3, 1
Let c(f) = -f - 4. Let q be c(-6). Let h(u) be the second derivative of 0*u**q + 0 - u + 1/3*u**3 + 1/6*u**4. Determine b so that h(b) = 0.
-1, 0
Suppose 4*f + 4 = -3*t - 1, -8 = 2*f - 4*t. Let j = 4 + f. Determine i, given that -15*i**2 - 3*i**2 + 4*i + 4*i**j = 0.
0, 2/7
Let j(y) be the first derivative of 2*y**5/35 - 5. Find n such that j(n) = 0.
0
Let f(k) be the second derivative of -1/2*k**2 + 0 + 1/12*k**4 + 1/20*k**5 - 1/6*k**3 - 4*k. Solve f(p) = 0.
-1, 1
Let b be 1/4*(-2 + (-102)/(-39)). Factor 6/13*g**2 - 8/13*g + b.
2*(g - 1)*(3*g - 1)/13
Let 8/3*w + 8/3*w**3 + 2/3 + 4*w**2 + 2/3*w**4 = 0. What is w?
-1
Let w(i) be the third derivative of i**9/16632 - i**7/4620 - i**3/2 + 4*i**2. Let u(b) be the first derivative of w(b). Find x, given that u(x) = 0.
-1, 0, 1
Let j(n) be the third derivative of -4/9*n**3 + 1/9*n**4 + 0*n - 1/90*n**5 + 0 - 2*n**2. Factor j(v).
-2*(v - 2)**2/3
Let d(f) = -2*f**2 - 6*f + 4*f**3 + 3*f + 3*f**2 + 0*f**2. Let w(l) = -9*l**3 - 2*l**2 + 7*l. Let n = 7 + 7. Let t(i) = n*d(i) + 6*w(i). Solve t(z) = 0 for z.
-1, 0
Let u(t) = t**3 + 0*t - 7 + 0*t + 2*t - 5*t**2. Let o be u(5). Factor 4*n**4 - 2*n**4 + n**2 - o*n**4.
-n**2*(n - 1)*(n + 1)
Let o(g) = -2*g**3 - 3*g**2 - 3*g + 1. Let u(d) = -3*d**3 - 5*d**2 - 6*d + 1. Let i(s) = 10*o(s) - 6*u(s). Find h, given that i(h) = 0.
-1, 2
Let s be (-14)/21*6/(-16)*6. Factor 1/2*p**2 + s*p**4 - 5/2*p**3 + 0 + 1/2*p.
p*(p - 1)**2*(3*p + 1)/2
Let z(u) = -u - 1. Let w(l) = -2*l - 2 - 6 - 4*l + 2*l**2. Let h(r) = w(r) - 4*z(r). Determine q, given that h(q) = 0.
-1, 2
Let r be 2*(8/(-3) - -3). Let a(y) be the third derivative of 0*y + 2*y**2 - r*y**3 + 1/4*y**4 - 1/30*y**5 + 0. Find s, given that a(s) = 0.
1, 2
Let h = 7 + -3. Suppose 0 = -h*j + 6*j. Find a such that -4/5*a**2 + 6/5*a**3 + j*a - 6/5*a**5 + 0 + 4/5*a**4 = 0.
-1, 0, 2/3, 1
Determine t, given that -2/9*t**5 + 2/9 - 4/9*t**2 + 4/9*t**3 - 2/9*t + 2/9*t**4 = 0.
-1, 1
Determine p so that -32/7 - 22/7*p**2 + 2/7*p**3 + 52/7*p 