 6*u**4 + 2*u**3 - 2*u = 0 for u.
-1, 0, 1, 2
Let d(p) be the third derivative of -p**9/50400 - p**8/12600 - p**7/12600 - p**5/6 - 3*p**2. Let g(k) be the third derivative of d(k). Factor g(o).
-2*o*(o + 1)*(3*o + 1)/5
Let i = -10 + 13. Find q such that -2*q + 2*q + 14*q**3 - 16*q**4 - 2*q**2 - 32*q**5 + 0*q**i = 0.
-1, 0, 1/4
Let i(z) be the first derivative of -z**4 + 4*z**3/3 + 2*z**2 - 4*z - 7. Factor i(v).
-4*(v - 1)**2*(v + 1)
Let r(i) be the first derivative of -i**3 + 3*i**2/2 + 9. Determine f so that r(f) = 0.
0, 1
Let q(w) = w**2 - 6*w + 11. Let k be q(5). Factor 0*a**3 - k*a**2 + 6*a - 9*a + 3*a**3 + 6.
3*(a - 2)*(a - 1)*(a + 1)
Let b(i) = -60*i**2 - 145*i. Let z(h) = -5*h**2 - 12*h. Let c(t) = 3*b(t) - 35*z(t). Factor c(k).
-5*k*(k + 3)
Let i(q) = -6*q**2 + 6*q - 2. Let y(r) = -7*r**2 + 5*r - 1. Suppose -m = -2*d - 3, d - 4*m + 2*m = 0. Let j(b) = d*y(b) + 3*i(b). Factor j(a).
-4*(a - 1)**2
Let f(q) = 17*q**3 - 168*q**2 + 2339*q - 10976. Let h(g) = 4*g**3 - 42*g**2 + 585*g - 2744. Let j(x) = 6*f(x) - 26*h(x). Factor j(p).
-2*(p - 14)**3
Let t(g) = -7*g**4 - 5*g**3 + 4*g**2 - 5*g - 7. Let b(c) = -6*c**4 - 4*c**3 + 4*c**2 - 4*c - 6. Let l(y) = -5*b(y) + 4*t(y). Factor l(x).
2*(x - 1)**2*(x + 1)**2
Let s = -77 + 81. Solve -2*w + w**3 - 1/2*w**s + 3/2*w**2 - 2 = 0 for w.
-1, 2
Let d(t) be the second derivative of t**4/6 + 2*t**3/3 - 2*t. Solve d(u) = 0.
-2, 0
Let x(v) = -v**4 + 2 - 13*v**4 + 2*v**2 + 2*v**2. Let f = -5 + 8. Let a(k) = -5*k**4 + k**2 + 1. Let g(w) = f*x(w) - 8*a(w). Factor g(l).
-2*(l - 1)**2*(l + 1)**2
Let p(n) be the third derivative of -n**8/168 + 2*n**7/21 - 13*n**6/60 - 2*n**5 - 3*n**4 + 21*n**2. Factor p(c).
-2*c*(c - 6)**2*(c + 1)**2
Suppose 5*k + 11 = -3*y, 5*y + 0*k = -3*k + 3. Find c such that 0 + 4*c - 2*c**y + 8*c**2 - 2*c**2 - 2*c**3 - 6 = 0.
-1, 1, 3/2
Let p(r) = r**5 + 6*r**4 + 7*r**3 - 7*r - 5. Let j(q) = q**4 + q**2 + q - 1. Let v(d) = j(d) - p(d). Suppose v(a) = 0. Calculate a.
-2, -1, 1
Let w(y) be the third derivative of -y**9/30240 + y**8/10080 + y**5/30 + y**2. Let v(j) be the third derivative of w(j). Solve v(h) = 0 for h.
0, 1
Let j be -1 + 2 + 5 - 1. Let o be (6/2)/((16 - 1)/3). Factor 3/5 + 6/5*v**2 - 9/5*v**4 - 9/5*v + 6/5*v**3 + o*v**j.
3*(v - 1)**4*(v + 1)/5
Let b(t) be the second derivative of t**6/3 - 3*t**5/5 - 6*t**4/5 - 8*t**3/15 - 5*t. Determine g so that b(g) = 0.
-2/5, 0, 2
Let j = -5 - -8. Factor -4*w**4 + 2/3*w - 44/9*w**j - 10/9*w**5 - 16/9*w**2 + 4/9.
-2*(w + 1)**4*(5*w - 2)/9
Let t = -5 + 5. Let c be (-2 + t)*(-3)/15. Solve 0*o + 0 - 4/5*o**3 - 2/5*o**2 - c*o**4 = 0.
-1, 0
Let -5*z**2 - 178 - 3 + 1 - 60*z = 0. What is z?
-6
Suppose 0 - 1/3*w + 2*w**3 - 2/3*w**5 + 1/6*w**4 + 5/6*w**2 = 0. What is w?
-1, 0, 1/4, 2
Let l(o) be the first derivative of 0*o - 1/4*o**4 + 2/3*o**3 - 1/2*o**2 + 2. Factor l(c).
-c*(c - 1)**2
Suppose 5*x = -0*x + 25. Factor 5*b**3 - 9*b**5 - 2*b**3 + 12*b**x + 6*b**4.
3*b**3*(b + 1)**2
Let h be (10 + 232/(-24))/(3 - 1). Let k(i) be the second derivative of 0*i**3 - i + 0*i**2 + 0 - h*i**4 + 1/5*i**6 - 2/21*i**7 + 0*i**5. Factor k(n).
-2*n**2*(n - 1)**2*(2*n + 1)
Let j(g) be the second derivative of g**4/3 - 52*g**3/3 + 338*g**2 + 38*g. Factor j(w).
4*(w - 13)**2
Determine m, given that 146410/3*m - 322102/3 + 2420/3*m**3 - 26620/3*m**2 - 110/3*m**4 + 2/3*m**5 = 0.
11
Let n = 751/5 + -150. Factor 2/5*o + 4/5*o**3 + n*o**4 + o**2 + 0.
o*(o + 1)**2*(o + 2)/5
Let a(j) be the third derivative of -j**6/30 - j**5/15 + j**4/3 + 8*j**2. Factor a(z).
-4*z*(z - 1)*(z + 2)
Let h(k) be the second derivative of k**10/15120 - k**8/1680 + k**6/360 - k**4/12 - 2*k. Let g(y) be the third derivative of h(y). Let g(p) = 0. Calculate p.
-1, 0, 1
Let o(z) be the third derivative of z**7/840 + z**6/120 + z**5/48 + z**4/48 - 8*z**2. Factor o(p).
p*(p + 1)**2*(p + 2)/4
Let m(b) be the second derivative of b**8/7560 - b**7/1260 + b**5/135 - b**3/3 - 2*b. Let a(g) be the second derivative of m(g). Factor a(o).
2*o*(o - 2)**2*(o + 1)/9
Let z(x) be the second derivative of x**7/6300 - x**6/900 + x**5/300 - x**4/6 + 3*x. Let j(p) be the third derivative of z(p). Suppose j(w) = 0. What is w?
1
Factor 0 - 1/2*m**2 + 0*m + m**3 - 1/2*m**4.
-m**2*(m - 1)**2/2
Let y(p) = -4*p**5 - 5*p**4 + 7*p**2 - 4*p. Let x(s) = -11*s**5 - 14*s**4 + s**3 + 20*s**2 - 12*s. Let d(b) = 3*x(b) - 8*y(b). Find k, given that d(k) = 0.
-2, 0, 1
Let x(u) = u**2 + 2 + 0 - 4. Let r be x(2). Suppose -2 + 0*b**2 - 6*b**2 - 4*b**3 - 2*b**r + 10*b**4 + 8*b - 4*b**5 = 0. Calculate b.
-1, 1/2, 1
Let j(g) be the second derivative of -g**4/12 + g**3/2 + 2*g**2 + g. Let r be j(4). Solve 2*n**4 + 7*n**3 - 2*n**2 - 4*n**5 - 3*n**3 + r*n**5 = 0 for n.
-1, 0, 1/2, 1
Let p(a) = -a**3 + 8*a**2 - 13*a + 6. Let s be p(6). Let u(q) be the second derivative of 1/3*q**3 + 1/3*q**4 - 3*q + 0*q**2 + s. Suppose u(g) = 0. Calculate g.
-1/2, 0
Solve -12*u - 6 - u - 27*u**3 - 60*u**2 - 26*u = 0 for u.
-1, -2/9
Let r(t) be the third derivative of t**10/15120 + t**9/15120 - t**8/2016 - t**7/1260 + t**5/60 - 3*t**2. Let s(h) be the third derivative of r(h). Factor s(b).
2*b*(b - 1)*(b + 1)*(5*b + 2)
Let b(t) = -t - 4. Let j be b(-6). Factor -3*i**2 + i**2 + i + i**4 + 3*i**3 + 5*i**j.
i*(i + 1)**3
Let f(c) be the second derivative of 7/24*c**3 + 1/6*c**4 + 3/80*c**5 + 0 + 1/4*c**2 - 2*c. Solve f(n) = 0 for n.
-1, -2/3
Suppose 0 = y + y - 6. Let 3*o**2 - 6*o**2 - 4*o**3 + 3*o + 3*o**4 + o**y = 0. What is o?
-1, 0, 1
What is v in -1355/2*v**2 - 555*v**3 - 250*v - 30 + 225/2*v**4 = 0?
-2/5, -1/3, 6
Let c(n) be the third derivative of -n**5/30 + n**4/12 + 2*n**3/3 - 37*n**2. Factor c(p).
-2*(p - 2)*(p + 1)
Let u be (-6)/(-24)*6/9. Let z(y) be the first derivative of 1/3*y - 1/9*y**3 + 1/12*y**4 - 1 - u*y**2. Factor z(t).
(t - 1)**2*(t + 1)/3
Let m be ((-20)/(-8))/((-1)/(-2)). Suppose 0 = 4*v - 5*x + 1, m*x - 10 + 4 = -v. Factor a**2 - a - v - 2*a**3 + 0*a + a**3 + 2*a**3.
(a - 1)*(a + 1)**2
Let o(q) be the third derivative of 1/10*q**6 - 1/20*q**5 + 0*q**3 - 3/70*q**7 + 0*q**4 + 0*q + 4*q**2 + 0. Determine i, given that o(i) = 0.
0, 1/3, 1
Let d be (-35)/45 - -1 - 0. Find c, given that 0 - d*c - 2/9*c**3 + 4/9*c**2 = 0.
0, 1
Suppose 2 - 2 = -40*b. Find t, given that 0*t + 0 - 1/2*t**4 + 0*t**2 + b*t**3 = 0.
0
Let f be -6*(-2)/3 - 370/111. Let 2/3*d**3 + 0 + 2/3*d**4 - f*d**2 - 2/3*d = 0. Calculate d.
-1, 0, 1
Let h(t) be the first derivative of t**6/30 - 2*t**2 + 4. Let l(n) be the second derivative of h(n). What is r in l(r) = 0?
0
Let u be (2/8)/((-35)/(-70)). Factor 0*b + 1/4*b**3 + 1/4*b**5 + u*b**4 + 0 + 0*b**2.
b**3*(b + 1)**2/4
Let o(i) be the first derivative of 0*i - 2 + 2*i**3 + 3/4*i**4 + 0*i**2 - 3/5*i**5. Solve o(f) = 0 for f.
-1, 0, 2
Suppose 3*s**3 + 30*s**2 - s**3 - 28*s**2 = 0. Calculate s.
-1, 0
Suppose -2*v + 0*v = 2*r - 12, -v = -2*r. Suppose -3*g - v = -5*g. Factor 2*i + 0*i + i**g - i.
i*(i + 1)
Factor 4*u**4 - 6*u**2 + 0*u + 4*u + 31*u**4 - 31*u**3 - 2*u**2.
u*(u - 1)*(5*u + 2)*(7*u - 2)
Suppose 0 - 4/5*d + 6/5*d**3 - 2/5*d**5 - 2/5*d**2 + 2/5*d**4 = 0. What is d?
-1, 0, 1, 2
Let h be (-32)/48*1/(-2). Let o(f) be the first derivative of -1/4*f**2 + 0*f - 1 - 1/8*f**4 - h*f**3. Let o(q) = 0. Calculate q.
-1, 0
Suppose 2*l - 5*l + 18 = 0. Let g = l - 6. Solve -8/5*m**2 - 8/5*m**4 - 2/5*m - 12/5*m**3 + g - 2/5*m**5 = 0 for m.
-1, 0
Let m(k) be the second derivative of 0 + 0*k**3 - k**2 - 1/30*k**5 - k + 0*k**4. Let a(o) be the first derivative of m(o). Factor a(x).
-2*x**2
Let u(c) = 1 + 2*c**2 + 0 + 6*c + 2*c - 3. Let q(a) = -5*a**2 - 17*a + 4. Let r(m) = -4*q(m) - 9*u(m). Find g such that r(g) = 0.
1
Let r(w) = 8*w**3 + 20*w**2 + 4*w + 4. Let f(b) = 7*b**3 + 20*b**2 + 3*b + 3. Let o(y) = 4*f(y) - 3*r(y). What is a in o(a) = 0?
-5, 0
Suppose 20 = -2*h + 6*h. Suppose -8 - 10 = -t + 3*x, h*x = -4*t - 13. Solve -4*k**4 - k + 3*k**4 + 0*k**4 - 3*k**3 - t*k**2 = 0.
-1, 0
Let x(a) = -7*a**4 - 4*a**3 - a**2 - 4*a + 4. Let r(i) = 6*i**4 + 3*i**3 + 3*i - 3. Let f(z) = 4*r(z) + 3*x(z). Factor f(c).
3*c**2*(c - 1)*(c + 1)
Let n be (2/(-14))/((-34)/(-12) - 3). Solve -n*g**3 - 10/7*g**2 + 0 - 4/7*g = 0 for g.
-1, -2/3, 0
Suppose 3*i = -30 + 6. Let q(o) = 3*o**2 + 6*o + 11. Let m(a) = -2*a**2 - 4*a - 7. Let b be -4 + 3 - 0 - 4. Let j(y)