 w**5/60 + 2*w**3/3 - 4*w. Let s(t) be the second derivative of z(t). Factor s(r).
-2*r*(r - 1)**2*(r + 1)**2
Let a(i) be the first derivative of 1/3*i**2 + 2/27*i**3 + 4/9*i - 3. Factor a(l).
2*(l + 1)*(l + 2)/9
Factor 1/3*c**3 - 9*c**2 - 169/3 + 65*c.
(c - 13)**2*(c - 1)/3
Let y(z) be the third derivative of 0 - 1/90*z**6 + 0*z**5 - 3*z**2 + 1/18*z**4 - 1/9*z**3 + 1/315*z**7 + 0*z. What is d in y(d) = 0?
-1, 1
Let u = -2597/9 + 289. Factor u*j**3 + 0 - 2/9*j**4 + 2/9*j**2 - 4/9*j.
-2*j*(j - 2)*(j - 1)*(j + 1)/9
Let i be (13 - 2) + (3 - 5). Let 3*h - h**2 - 10*h - 1 + i*h = 0. Calculate h.
1
Let f = -176 + 1234/7. Let z(k) be the first derivative of -2/7*k + f*k**2 + 1 - 2/21*k**3. Find i such that z(i) = 0.
1
Let s(b) = -4*b**2 - 8*b + 4. Let a(t) = -4*t**2 - 9*t + 5. Let m(y) = -4*a(y) + 5*s(y). Factor m(o).
-4*o*(o + 1)
Let p be 1*-2*2*(-2)/40. Solve -1/5*d**3 + p - 3/5*d + 3/5*d**2 = 0 for d.
1
Let b = -211331/10 + 21178. Let u = -89/2 + b. Suppose u*d**2 + 0*d + 0 = 0. What is d?
0
Let s be (-5 - -3) + (-13)/(-6). Let t(n) be the third derivative of s*n**4 + 0 - 7/30*n**5 + n**2 + 0*n + 0*n**3. Factor t(m).
-2*m*(7*m - 2)
Let c(i) = i**2 + i + 1. Let y(h) = -4*h**2 + 32*h + 92. Let p(x) = 8*c(x) + y(x). Determine j so that p(j) = 0.
-5
Let t(y) be the first derivative of 2 + 0*y + 0*y**4 - 6/5*y**5 + 1/2*y**6 - 3/2*y**2 + 2*y**3. Factor t(z).
3*z*(z - 1)**3*(z + 1)
Let h(c) = -3*c**3 - 2*c**2 - 3*c - 2. Let o = -13 - -17. Let a(x) = -4*x**3 + x - x**2 + 0*x - 3*x - 2. Let l(k) = o*a(k) - 6*h(k). Factor l(p).
2*(p + 1)**2*(p + 2)
Let i(z) be the first derivative of 2*z**5/45 - 5*z**4/6 + 26*z**3/9 - 37*z**2/9 + 8*z/3 - 17. Factor i(t).
2*(t - 12)*(t - 1)**3/9
Suppose 2/5*k - 1/5*k**3 - 1/5*k**2 + 0 = 0. What is k?
-2, 0, 1
Let l(a) be the second derivative of 3*a**6/140 - a**5/14 + a**4/12 - a**3/21 - 7*a**2/2 - a. Let f(t) be the first derivative of l(t). What is w in f(w) = 0?
1/3, 1
Let j(v) be the second derivative of 0*v**3 + 0*v**4 + 0*v**2 - 1/105*v**6 + 3*v - 1/294*v**7 + 0*v**5 + 0. Determine s, given that j(s) = 0.
-2, 0
Let u(n) be the second derivative of -n**5/4 - n**4/4 + 5*n**3/6 + 3*n**2/2 + 2*n - 20. Factor u(c).
-(c - 1)*(c + 1)*(5*c + 3)
Let r(i) = -i**4 - i**3 + i**2 + i. Let u(n) = 3*n. Let y be u(-1). Let w(x) = -6*x**4 - 9*x**3 + 12*x**2 + 15*x - 12. Let f(j) = y*r(j) + w(j). Solve f(c) = 0.
-2, 1
Let o(a) = a**2 - 4*a - 18. Let y be o(7). Factor 0 - 1/6*v**2 + 0*v**y + 1/6*v**4 + 0*v.
v**2*(v - 1)*(v + 1)/6
Let o = -29/3 - -11. Let x be 5/3 - (2 + 35/(-15)). Determine m so that -o*m**2 + 0 + 10/3*m**3 + 0*m - x*m**4 = 0.
0, 2/3, 1
Let a(q) = -6*q**4 + 63*q**2 + 27*q. Let g(h) = h**4 - 9*h**2 - 4*h. Let m(i) = 2*a(i) + 15*g(i). Factor m(f).
3*f*(f - 2)*(f + 1)**2
Let j(f) = 8*f**4 - 21*f**3 - 13*f**2 + 16*f + 5. Let s(o) = 44*o**4 - 116*o**3 - 72*o**2 + 88*o + 28. Let p(z) = 28*j(z) - 5*s(z). Let p(b) = 0. What is b?
-1, 0, 1, 2
Determine p so that 8/3*p**2 - 88/3*p**5 - 8/3*p**3 + 0 + 0*p - 182/3*p**4 = 0.
-2, -1/4, 0, 2/11
Let q = -23 - -33. Suppose 4*u - 26 = q. Find d, given that 2*d**2 - 3*d - 6*d**2 - 4*d**2 - d**2 - 3*d**4 - u*d**3 = 0.
-1, 0
Suppose 6*r = r + 15. Factor 3*s - 14 + r*s**2 - 3*s + 11.
3*(s - 1)*(s + 1)
Factor -1/10*v**4 + 0*v**3 + 0*v + 1/10*v**5 + 0*v**2 + 0.
v**4*(v - 1)/10
Let t be 6/2 - (-27)/(-11). Solve 2/11*h**3 + t*h - 2/11 - 6/11*h**2 = 0 for h.
1
Let d be (-4)/6 - (2 + -3). Suppose 0*z = 3*z. Find h such that z*h**2 + 0 + d*h**3 + 0*h = 0.
0
Let a(m) be the first derivative of m**9/1512 + m**8/420 - 2*m**3 - 2. Let w(k) be the third derivative of a(k). Factor w(f).
2*f**4*(f + 2)
Let t(m) be the second derivative of 5*m**7/42 - m**6/6 - m**5/4 + 5*m**4/12 - 3*m. Factor t(k).
5*k**2*(k - 1)**2*(k + 1)
Let t(m) be the second derivative of -2*m**6/45 - 47*m**5/60 - 5*m**4 - 104*m**3/9 + 32*m**2/3 - 13*m. Let t(z) = 0. Calculate z.
-4, 1/4
Let f(v) be the third derivative of v**5/300 - v**4/120 - v**3/15 - 10*v**2. Solve f(w) = 0.
-1, 2
Solve 8*a**4 + 4*a - a**4 - 6*a**2 + 0*a - 5*a**4 = 0.
-2, 0, 1
Let o(a) be the second derivative of -a**4/2 + a**3/2 + 3*a**2/2 + 2*a. Factor o(c).
-3*(c - 1)*(2*c + 1)
Let t = -13 - -9. Let n = t - -9/2. Suppose 0 - n*z**2 + 0*z**3 + 0*z + 1/2*z**4 = 0. Calculate z.
-1, 0, 1
Let a(l) be the second derivative of -l**5/4 - 5*l**4/6 - 5*l**3/6 - 8*l. Factor a(z).
-5*z*(z + 1)**2
Let j(o) be the first derivative of o**4/4 + 7*o**3/3 - o**2/2 - 3*o - 3. Let a(v) = -v**3 - 6*v**2 + 2. Let d(t) = -4*a(t) - 3*j(t). Factor d(l).
(l + 1)**3
Let h(g) be the second derivative of -g**5/4 - 5*g**4/6 + 5*g**3/2 + 8*g. Factor h(z).
-5*z*(z - 1)*(z + 3)
Suppose -u + 5*u - 28 = 0. Let q(l) = -l**3 + 8*l**2 - 5*l - 9. Let m be q(u). Factor 2*v**2 + 2*v**m - 2*v**3 + 3*v**4 - 4*v**4 - v**4 + 0*v**5.
2*v**2*(v - 1)**2*(v + 1)
Let s(y) be the third derivative of 5/12*y**4 + 0*y - y**2 - 1/12*y**6 - 2/3*y**3 + 0 + 1/15*y**5. Let s(i) = 0. What is i?
-1, 2/5, 1
Let w(a) be the first derivative of -a**3 + 6*a**2 - 12*a - 6. Factor w(n).
-3*(n - 2)**2
Suppose y - 7*t = -6*t + 5, 0 = 2*y - 5*t - 19. Factor 0*j + 1/3*j**y + 1/3*j**3 + 0.
j**2*(j + 1)/3
Let u = 15 - 11. Suppose 3*a**2 - u*a**3 + 6*a**3 - a**4 - 4*a**2 = 0. Calculate a.
0, 1
Let o = -283/10 - -59/2. Find y such that 2/5*y**3 - 6/5*y**4 + 0 + 2/5*y**5 - 4/5*y + o*y**2 = 0.
-1, 0, 1, 2
Let c be (-2)/3*6/(-14). Let u be (4/42)/((-10)/(60/(-2))). Factor 0 + 0*s**4 - u*s**3 + c*s**5 + 0*s**2 + 0*s.
2*s**3*(s - 1)*(s + 1)/7
Suppose -6*a + 2*a - 2*b + 72 = 0, -a + 18 = b. Let j = 15 + -11. Factor 3 - 2*v**j - 12*v - 12*v**3 + a*v**2 + 3*v**4 + 2*v**4.
3*(v - 1)**4
Factor -5 + 18 - 9*x**2 - 6 - 3*x**3 + 5.
-3*(x - 1)*(x + 2)**2
Let s = -5 + 7. Suppose 5*y - 66 = -4*a, -s*y - 5*a = -4*a - 24. Find u, given that -6*u + 3*u**2 - y + 6 + 7 = 0.
1
Let h(b) be the second derivative of -b**4/20 - 7*b**3/10 + 12*b**2/5 - 39*b. Factor h(q).
-3*(q - 1)*(q + 8)/5
Let o = 1/11 + 8/33. Let w be (-44)/(-60) + (-4)/10. Find y such that w*y + o*y**2 + 0 = 0.
-1, 0
Let p(o) be the second derivative of -o**7/126 + o**6/90 + o**5/60 - o**4/36 - o. Find q such that p(q) = 0.
-1, 0, 1
Factor 6/5*i**3 + 1/5*i + 1/5*i**5 + 4/5*i**2 + 4/5*i**4 + 0.
i*(i + 1)**4/5
Let t(g) = 4 - 5 - 3*g + g**2 + 4*g - g**3. Let i(m) = -m**4 - 2*m**3 - 12*m**2 - 10*m + 1. Let q(w) = -2*i(w) - 6*t(w). Factor q(c).
2*(c + 1)**3*(c + 2)
Let z(l) be the third derivative of l**6/600 - l**4/40 - l**3/15 - 14*l**2. Let z(q) = 0. Calculate q.
-1, 2
Let y = -43 - -133/3. Factor 1/3*i + 0 - 4/3*i**4 - y*i**2 + 2*i**3 + 1/3*i**5.
i*(i - 1)**4/3
Suppose -l - 2*l = k - 12, -3*l = -3*k - 12. Factor 7*p**2 + 2*p**3 - l - 3*p**4 - 4*p**3 - p**5 + 3*p**3.
-(p - 1)**2*(p + 1)*(p + 2)**2
Let w(u) be the third derivative of u**8/20160 - u**6/720 + u**5/30 - 4*u**2. Let s(i) be the third derivative of w(i). Solve s(k) = 0.
-1, 1
Suppose 3*c - 39 = -3*z, -5*c - z = 2*z - 55. Suppose i = 5*i - c. Factor i*f**2 + 0*f**3 + 2*f**3 + 0*f**3.
2*f**2*(f + 1)
Determine s so that 16*s + 12 - 4*s + 3*s**4 + 0*s**2 - 6*s**3 + 0*s**2 - 9*s**2 = 0.
-1, 2
Let l be 1 + 1*(2 + 0). Suppose -z + 7 = l. Factor -2/5 - 2/5*t**5 - 2/5*t + 4/5*t**2 - 2/5*t**z + 4/5*t**3.
-2*(t - 1)**2*(t + 1)**3/5
Let m(h) be the first derivative of h**3/3 - h**2/2 - h + 1. Let k(z) = -6*z**2 + z + 2. Let i(n) = -k(n) - 5*m(n). Suppose i(x) = 0. Calculate x.
-3, -1
Suppose 6*c**2 + 0*c**2 - 3*c**2 - 3*c**4 - 3*c**3 + 2*c**5 + c**5 = 0. Calculate c.
-1, 0, 1
Let o(a) be the third derivative of -a**6/12 - 3*a**5/10 - 2*a**4/5 - 4*a**3/15 - a**2 + 19*a. Determine g, given that o(g) = 0.
-1, -2/5
Let y(x) = 2*x - 9. Let j be y(7). Suppose -15 - 5 = -j*p. Find n, given that 0*n**3 + 4/7*n**p - 4/7*n**2 + 0 - 2/7*n + 2/7*n**5 = 0.
-1, 0, 1
Let y be ((-3)/4)/(3/(-12)). Factor 3 + a - 2*a - 3 + a**y.
a*(a - 1)*(a + 1)
Let w(i) be the second derivative of i**5/4 - 5*i**4/3 + 5*i**3/2 - 41*i. Factor w(t).
5*t*(t - 3)*(t - 1)
Let k = -91 + 547/6. Let x(r) be the first derivative of 0*r**5 - 1/4*r**4 + k*r**6 + 0*r**2 - 1 + 0*r**3 + 0*r. Determine u, given that x(u) = 0.
-1, 0, 1
Let f = 177/2 + -88. Let x(w) be the third derivative of f*w**3 + 1/20*w**6 + 4*w**2 + 0 - 1/8*w**4 - 1/112*w**8 - 1/10*w**5 + 1/70*w**7 + 0*w. Factor x(t).