. Factor s(j).
4*j**2*(j - 1)*(j + 1)
Let g(t) = t**2 - t**2 + 2*t + 2*t**4 + 3*t**2 - 3*t**4. Let o(q) = 2*q**4 + q**3 - 4*q**2 - 3*q. Let x(n) = 3*g(n) + 2*o(n). Find y such that x(y) = 0.
-1, 0
Let g(m) be the first derivative of 2/21*m**3 - 1 + 0*m - 2/35*m**5 + 0*m**2 + 1/21*m**6 - 1/14*m**4. Let g(d) = 0. What is d?
-1, 0, 1
Let m(r) be the second derivative of 0 + 3/2*r**2 + r**3 + r - 3/10*r**5 + 0*r**4 - 1/10*r**6. Suppose m(b) = 0. What is b?
-1, 1
Suppose 3 - 23 = 5*l - 5*z, -4*z = l - 16. Find p such that l*p + 0 - 6/5*p**3 + 6/5*p**5 - 2/5*p**4 + 2/5*p**2 = 0.
-1, 0, 1/3, 1
Let k(c) = -7*c**2 + 19*c + 3. Let f(y) = 20*y**2 - 56*y - 8. Let q(w) = 3*f(w) + 8*k(w). Factor q(x).
4*x*(x - 4)
Let v = 17/7 - 37/21. Solve v*b**2 + 2/9*b**4 + 0 - 2/3*b**3 - 2/9*b = 0.
0, 1
Factor 2/7*f**3 + 4/7*f + 0 + 6/7*f**2.
2*f*(f + 1)*(f + 2)/7
Let a(j) be the second derivative of -j**4/42 + j**3/3 - 17*j. Solve a(i) = 0 for i.
0, 7
Suppose h = 3*d + 13, -5*d + 0*h - 10 = -4*h. Let q be (4/d)/(4 - 6). Factor -1/3*r**4 + 0 - r**2 + r**3 + q*r.
-r*(r - 1)**3/3
Let g(u) be the first derivative of -6 + 15/8*u**4 + 7/2*u**3 - 6*u**2 - 6*u. Factor g(f).
3*(f - 1)*(f + 2)*(5*f + 2)/2
Let u(h) be the second derivative of -h**4/48 - h**3/3 - 2*h**2 - 3*h. Factor u(q).
-(q + 4)**2/4
Let g be (-10)/(-12) + (-86)/132. Let n(j) = -j. Let v be n(0). Factor v + g*o**2 + 4/11*o.
2*o*(o + 2)/11
Let p(n) = -3*n**2 + 2*n**2 + 6*n**5 - 3*n**2 - 8*n**3 + 0*n**2 + 2*n**4. Let x(y) = y**5 + y**4 - y**3 - y**2. Let w(u) = p(u) - 4*x(u). Factor w(j).
2*j**3*(j - 2)*(j + 1)
Let r(k) be the first derivative of k**7/3360 - k**6/1440 - k**5/240 + 2*k**3/3 + 4. Let f(n) be the third derivative of r(n). Determine t, given that f(t) = 0.
-1, 0, 2
Let v(i) = i**3 - 7*i**2 + 2. Let d = 21 - 14. Let w be v(d). Factor -b**w - 2*b - 2*b - b + 3*b - 1.
-(b + 1)**2
Suppose 3*s - 7 = -3*x + 4*s, -3*x = s - 5. Suppose 2*f + x = -5*r, -3*f + 2*r = -4*f. Determine v so that -v**f + v**2 + 4*v**5 + v**2 - 5*v**4 = 0.
-1/2, 0, 1
Suppose 4*f - 2 = 10. Factor f*w**3 + 3*w**4 + 0*w**5 - 6*w**5 + 3*w**5 - 3*w**2.
-3*w**2*(w - 1)**2*(w + 1)
Let p be (-133)/(-30) + 3/45. Factor 54*f**3 - 1/4 + p*f - 27*f**2.
(6*f - 1)**3/4
Let d(b) be the first derivative of b**7/420 + b**6/120 + b**5/120 - 2*b**2 + 1. Let q(k) be the second derivative of d(k). Let q(j) = 0. What is j?
-1, 0
Let d be 5/(-5) + -1 + 4. Suppose 2 = -d*w + 6. Find c, given that 0*c - c**4 + 0 + 1/4*c**5 + 5/4*c**3 - 1/2*c**w = 0.
0, 1, 2
Let b(t) be the third derivative of -t**9/7560 + t**7/2100 - t**3/2 - 2*t**2. Let h(n) be the first derivative of b(n). Factor h(q).
-2*q**3*(q - 1)*(q + 1)/5
Let d be (-3 - -2)*-2 - 3. Let t(x) = 3*x**3 + 9*x**2 + 4*x - 2. Let n(y) = 4*y + 3*y - 6*y - 2*y - y**2. Let m(b) = d*t(b) - n(b). Factor m(r).
-(r + 1)*(r + 2)*(3*r - 1)
Factor 0 + 3/4*r**4 - 3/4*r**5 + 0*r + 0*r**3 + 0*r**2.
-3*r**4*(r - 1)/4
Suppose -3*g + 5 = -4. Suppose -1 = 4*n - 3*t - 0, -g*n = t - 9. Find l such that 10*l**n + 4 - 1 + 1 + 14*l = 0.
-1, -2/5
Let v = -16 - -18. Find c such that 5*c**2 - v*c**2 + 24 - 27 = 0.
-1, 1
Let l(r) = r - 5. Let q be l(8). Factor -51*x**q + 104*x**4 - 50*x**2 - 28*x**5 + 18*x**2 - 29*x**3.
-4*x**2*(x - 2)**2*(7*x + 2)
Let y(b) = -5*b**4 - 21*b**3 - 24*b**2 - 5*b + 16. Let k(x) = x**4 + 5*x**3 + 6*x**2 + x - 4. Let t(q) = 26*k(q) + 6*y(q). Find p, given that t(p) = 0.
-1, 1, 2
Let h(j) = j**4 + j**3 + j - 1. Let i(w) = 11*w**4 + 8*w**3 - 8*w**2 - 4*w - 3. Let t(f) = -6*h(f) + 3*i(f). Factor t(n).
3*(n - 1)*(n + 1)*(3*n + 1)**2
Let h(t) be the second derivative of -t**7/14 - t**6/5 + t**4/2 + t**3/2 + 15*t. Factor h(g).
-3*g*(g - 1)*(g + 1)**3
Suppose m = -0 - 2, -v - 5*m - 11 = 0. Let r be (1 + v)*1/2. Factor -351/5*a**4 + 0*a + 24*a**3 + r - 12/5*a**2 + 243/5*a**5.
3*a**2*(a - 1)*(9*a - 2)**2/5
Let p = 464 + -66817/144. Let o = 383/144 - p. Factor 6*c**3 - 16/3*c - o + 2*c**2.
2*(c - 1)*(3*c + 2)**2/3
Let 1/7*p - 1/7*p**2 + 0 = 0. What is p?
0, 1
Let m(v) be the first derivative of 1 - 1/8*v**2 - 1/4*v**3 + 0*v - 3/16*v**4 - 1/20*v**5. Factor m(a).
-a*(a + 1)**3/4
Let u(w) be the first derivative of -196*w**5/25 - 21*w**4/5 + 47*w**3/15 + 6*w**2/5 - 4*w/5 - 12. Factor u(i).
-(2*i + 1)**2*(7*i - 2)**2/5
Let p be -2*(-3 + (-2 - -4)). Suppose 5*u - 6 = p*u. Determine t so that 3*t + t**3 + u*t**2 + 0*t**2 - 2*t = 0.
-1, 0
Let j(i) = 5*i**5 + 2*i**4 - 4*i**3 + 6*i**2 - i. Let x(y) = -4*y**5 - y**4 + 3*y**3 - 5*y**2 + y. Let b(k) = -3*j(k) - 4*x(k). Let b(l) = 0. What is l?
-1, 0, 1
Let u(f) = f**3 - 5*f**2 + 3*f + 5. Let o be u(4). Let y be 0/(-1)*(2 - o). Suppose 2*x**2 + 0*x**2 + y*x**2 - 2*x + 4*x = 0. What is x?
-1, 0
Let j(t) be the first derivative of t**8/336 - t**7/105 + t**5/30 - t**4/24 - t**2 + 3. Let w(c) be the second derivative of j(c). Determine k so that w(k) = 0.
-1, 0, 1
Let l be (-95)/(-175) + (-2)/14. Factor -4/5*z - l + 4/5*z**2 + 16/5*z**3 + 14/5*z**4 + 4/5*z**5.
2*(z + 1)**4*(2*z - 1)/5
Determine l, given that 1 + 1/4*l**2 + l = 0.
-2
Let v(h) be the third derivative of h**7/3780 - h**6/1620 - h**5/540 + h**4/108 + h**3/2 + 3*h**2. Let y(r) be the first derivative of v(r). Factor y(i).
2*(i - 1)**2*(i + 1)/9
Let o(w) be the second derivative of w**5/10 + 5*w**4/6 + 7*w**3/3 + 3*w**2 - 2*w. Find c, given that o(c) = 0.
-3, -1
Let l(u) be the first derivative of -2 - 1/8*u**4 + 1/60*u**5 + 1/3*u**3 + u**2 + 0*u. Let s(w) be the second derivative of l(w). What is x in s(x) = 0?
1, 2
Let x(v) be the third derivative of -v**5/60 + v**4/6 - v**3/6 + 3*v**2. Let q be x(3). Factor 2/3*o**4 + 0*o**q + 0*o + 0*o**3 + 0 - 2/3*o**5.
-2*o**4*(o - 1)/3
Let s be 6*(6/(-4) + 101/66). Factor s*b**2 + 0*b + 0.
2*b**2/11
Let y(f) = 30*f**4 + 34*f**3 - 16*f**2 - 34*f - 14. Let o(t) = 6*t**4 + 7*t**3 - 3*t**2 - 7*t - 3. Let j(n) = -28*o(n) + 6*y(n). Factor j(b).
4*b*(b - 1)*(b + 1)*(3*b + 2)
Let y(c) be the second derivative of 1/24*c**4 + 0*c**2 - 1/60*c**6 - 1/40*c**5 + 0 + 1/12*c**3 - 2*c. Factor y(w).
-w*(w - 1)*(w + 1)**2/2
Let l(n) be the first derivative of -11*n**3/24 + 9*n**2/16 + n/4 + 16. Factor l(t).
-(t - 1)*(11*t + 2)/8
Let o(f) be the second derivative of 2/21*f**3 - 8*f + 3/70*f**5 + 5/42*f**4 - 1/147*f**7 + 0 - 1/105*f**6 + 0*f**2. Suppose o(i) = 0. What is i?
-1, 0, 2
Let g(x) be the first derivative of -x**6/10 + x**4/4 - 2*x + 3. Let d(f) be the first derivative of g(f). Factor d(u).
-3*u**2*(u - 1)*(u + 1)
Let q = -1081 - -1085. Determine l so that 2/9*l**q + 0*l**2 + 4/9*l - 4/9*l**3 - 2/9 = 0.
-1, 1
Let v(q) = 2*q - 11. Let f be v(6). Let o(c) be the first derivative of -1/2*c**2 - 1/2*c**5 + 0*c - f - 3/2*c**3 - 3/2*c**4. Find a such that o(a) = 0.
-1, -2/5, 0
Factor 2/3*w - 2/3*w**2 + 2/3 - 2/3*w**3.
-2*(w - 1)*(w + 1)**2/3
Let j(u) be the second derivative of -11*u**6/36 - u**5/12 - 32*u. Let j(i) = 0. Calculate i.
-2/11, 0
Let g(r) be the second derivative of r**7/21 - r**6/15 + 13*r. Suppose g(c) = 0. Calculate c.
0, 1
Suppose 5*s = y + 2, -6 = -y - s - 2. Let k(f) be the second derivative of -2*f + 0*f**y - 1/7*f**2 + 2/21*f**4 + 0. Solve k(h) = 0.
-1/2, 1/2
Let w(b) be the second derivative of 2*b**6/15 - b**5 + 2*b**4 + 8*b**3/3 - 16*b**2 - 6*b + 2. Solve w(y) = 0.
-1, 2
Factor 15/2*w + 0 + 5/2*w**2.
5*w*(w + 3)/2
Let i(f) be the third derivative of -1/840*f**8 - 2/175*f**7 - 7/150*f**6 + 0 - 3/20*f**4 - 2/15*f**3 - 8/75*f**5 - 2*f**2 + 0*f. Factor i(z).
-2*(z + 1)**4*(z + 2)/5
Let j be -2 + (14/(-36))/(44/(-231)). Let w(c) be the second derivative of 0 - 1/168*c**7 + c - 1/60*c**6 + 0*c**5 + 0*c**2 + 1/24*c**3 + j*c**4. Factor w(l).
-l*(l - 1)*(l + 1)**3/4
Let z(a) be the second derivative of a**5/50 - 8*a. Factor z(p).
2*p**3/5
Find h such that -2*h**2 + 8*h**4 - h**2 - 11*h**4 + 6*h**3 = 0.
0, 1
Let x be 6/(-14)*2/(6/(-1)). Let w(h) be the first derivative of 0*h + 2/7*h**6 - 3/14*h**4 - 2/7*h**3 + 2/5*h**5 + x*h**2 + 2. Let w(v) = 0. Calculate v.
-1, 0, 1/3, 1/2
Let z = 95 + -93. Let a(v) be the third derivative of 1/120*v**6 + 0*v - 3*v**z + 0 + 1/6*v**3 - 1/24*v**4 - 1/60*v**5. Determine d, given that a(d) = 0.
-1, 1
Let j(g) be the second derivative of -g**5/20 + g**4/4 + 3*g**3/2 + 5*g**2/2 - 44*g. Suppose j(h) = 0. Calculate h.
-1, 5
Let o = -939068 + 6603582