a**5 + 6*a**2 = 0.
-1, 0, 1
Let k(b) be the second derivative of -2/15*b**6 + 0*b**2 + 0 - 1/3*b**4 + 2*b + 1/7*b**7 - 7/10*b**5 + 0*b**3. What is r in k(r) = 0?
-1, -1/3, 0, 2
Let a(w) be the first derivative of -w**3 - 15*w**2/2 - 12*w - 34. Factor a(r).
-3*(r + 1)*(r + 4)
Let x(q) be the second derivative of 5*q**4/12 - 25*q**3/6 - 15*q**2 + 2*q - 8. Let x(b) = 0. What is b?
-1, 6
Suppose -4*s + 5*y + 3 = -10, -3*s = -4*y - 10. Factor a**s - 5 - 79*a + 3 + 78*a.
(a - 2)*(a + 1)
Let t(l) be the third derivative of -l**10/50400 + l**5/15 + l**2. Let q(m) be the third derivative of t(m). Suppose q(b) = 0. What is b?
0
Let u be (2/42)/(2 + (-33)/18). Factor 0 + u*r - 4/7*r**2.
-2*r*(2*r - 1)/7
Let a(n) = -3*n - 1. Let q be a(-1). Let z(o) be the third derivative of -2*o**q + 1/24*o**4 + 0*o + 0 - 1/240*o**5 - 1/6*o**3. Suppose z(w) = 0. Calculate w.
2
Let d(y) be the first derivative of 1/12*y**4 - 4 - 1/15*y**5 + 1/9*y**3 - 1/6*y**2 + 0*y. Factor d(l).
-l*(l - 1)**2*(l + 1)/3
Suppose 72/19 - 24/19*l + 2/19*l**2 = 0. What is l?
6
Let a(p) = p**3 - p**2 + p - 1. Let f be (-6)/21 + 2398/14. Let r be 2/2 - f/9. Let s(z) = 11*z**3 - 6*z**2 + 10*z - 9. Let n(i) = r*a(i) + 2*s(i). Factor n(j).
2*j*(j + 1)*(2*j + 1)
Let i(x) be the third derivative of x**9/3024 - x**8/1680 - x**7/840 + x**6/360 + x**3/6 - 3*x**2. Let l(v) be the first derivative of i(v). Factor l(p).
p**2*(p - 1)**2*(p + 1)
Factor 4/7*n**2 + 4/7 + 8/7*n.
4*(n + 1)**2/7
Suppose -3*g + 22 = 2*g - 2*x, 2*x = -5*g + 18. Let j(c) be the second derivative of 0*c**3 + 2*c + 0*c**2 + 0 + 1/10*c**5 - 1/6*c**g. Factor j(l).
2*l**2*(l - 1)
Let v(x) be the first derivative of -50/3*x**3 - 1 - 8*x + 20*x**2. Factor v(b).
-2*(5*b - 2)**2
Suppose -2*p = 3*p - 30. Let i(x) = 3*x**4 - 2*x**3 + 6. Let y(b) = -2*b**4 + 2*b**3 - 5. Let r(o) = p*y(o) + 5*i(o). Factor r(m).
m**3*(3*m + 2)
Let j be -4 - -13 - (10 + -3). Find u, given that 2/5*u**4 + 2/5*u**j + 0 + 0*u + 4/5*u**3 = 0.
-1, 0
Let i = 6 + -1. Let w(k) be the first derivative of 2 + 0*k**2 + 2/5*k**i + 4/15*k**3 + 0*k + 7/10*k**4. Solve w(m) = 0 for m.
-1, -2/5, 0
Let r = 12 + -10. Factor -2*w**2 + 3*w**r - 3 + 2*w + 7 - 3.
(w + 1)**2
Let x(t) = t**3 - t**2. Let b(g) = g**3 + g**2 - 1. Let o(y) = 7*y**3 + 7*y**2 + y - 6. Let d(m) = 6*b(m) - o(m). Let a(p) = 6*d(p) + 3*x(p). Factor a(l).
-3*l*(l + 1)*(l + 2)
Let m(o) = o**4 + 19*o**3 + 51*o**2 + 49*o + 18. Let w(p) = -p**4 - p**3 - p. Let i(x) = -m(x) + 2*w(x). Factor i(a).
-3*(a + 1)**2*(a + 2)*(a + 3)
Let v be -2 - -4*(-15)/(-24). Find z, given that -v*z**3 - 1/4 + 1/4*z + 1/4*z**5 - 1/4*z**4 + 1/2*z**2 = 0.
-1, 1
Let m(j) = -7*j**4 + 9*j**2 - 5*j - 2. Let n(h) = 6*h**4 - 8*h**2 + 4*h + 2. Let i(c) = 4*m(c) + 5*n(c). Factor i(a).
2*(a - 1)**2*(a + 1)**2
Let l = 7 - 7. Let p be l + 1 - (-13 + 11). Suppose -2/3 - 7/3*j**2 + p*j = 0. Calculate j.
2/7, 1
Suppose 4*p = 2*p. Let y(x) = x**2 - 6*x. Let l be y(6). Factor 4/7*n**2 - 2/7 + l*n**3 + p*n - 2/7*n**4.
-2*(n - 1)**2*(n + 1)**2/7
Let d(y) = -y**2 + y. Let n(s) = 5*s**2 + 2 - 8 - 7*s + 8. Let k(h) = 4*d(h) + n(h). Factor k(t).
(t - 2)*(t - 1)
Let -4*r**2 + 176/5*r - 28/5*r**3 - 48/5 = 0. Calculate r.
-3, 2/7, 2
Determine h so that 2*h**2 + 0*h**2 - 4*h + 5*h + h**3 = 0.
-1, 0
Suppose 6 + 2 = 2*v, -5*p + 3*v = 12. Find w such that p - 6/7*w**3 - 4/7*w**2 + 0*w - 2/7*w**4 = 0.
-2, -1, 0
Let c(o) be the first derivative of o**6/2 + 6*o**5/5 + 3*o**4/4 + 3. Solve c(d) = 0.
-1, 0
Let t(j) be the third derivative of -j**6/300 - j**5/75 - j**4/60 + 11*j**2. Find y such that t(y) = 0.
-1, 0
Suppose 7 = b - 2*t, -b + 2*t + 3*t = -13. Factor o**b + 0*o**3 + 0*o**2 + o**2.
o**2*(o + 1)
Let h = 220 - 879/4. Solve -1/2 - h*w**2 - 3/4*w = 0 for w.
-2, -1
Suppose -5*q - 2*a + 58 - 18 = 0, -4*q = -2*a - 14. Suppose -k = -2*h + q, -26 = 4*h - 9*h - 3*k. Factor 0 + 1/2*f**3 - 1/2*f**h + 0*f + f**2.
-f**2*(f - 2)*(f + 1)/2
Suppose 0 = -27*r + 71*r - 88. Factor 4/5*p**r - 8/5*p**3 + 0*p**4 + 6/5*p + 2/5*p**5 - 4/5.
2*(p - 1)**3*(p + 1)*(p + 2)/5
Let p(l) = l**2 + l - 2. Let n be p(2). Let s(k) be the third derivative of 0 + 0*k + 7/60*k**n - 2/15*k**3 - 1/30*k**5 + 2*k**2. Factor s(x).
-2*(x - 1)*(5*x - 2)/5
Let v be (1 - 0)*(28/16)/7. Let c(o) be the first derivative of -4 + 1/2*o**2 + 0*o - v*o**4 + 0*o**3. Factor c(g).
-g*(g - 1)*(g + 1)
Let k be ((-6)/(-63))/((-3)/(-9)). Let s be -3 + (-64)/(-28) - -1. Factor -2/7*l**4 + 2/7*l + s*l**5 - k - 4/7*l**3 + 4/7*l**2.
2*(l - 1)**3*(l + 1)**2/7
Let h(x) be the first derivative of -x**7/700 + x**6/225 + x**5/300 - x**4/30 + x**3/3 + 4. Let k(d) be the third derivative of h(d). Factor k(p).
-2*(p - 1)**2*(3*p + 2)/5
Let k(p) be the third derivative of p**10/15120 + p**9/10584 - p**8/11760 - p**4/12 + p**2. Let j(b) be the second derivative of k(b). Factor j(h).
2*h**3*(h + 1)*(7*h - 2)/7
Let v = 7 - 4. Factor 66*h**2 + v - 9*h - 31*h - 44*h**3 + 6 - 1 + 10*h**4.
2*(h - 2)*(h - 1)**2*(5*h - 2)
Let k(t) be the first derivative of -1/15*t**3 + 1/4*t**4 + 0*t**2 - 4/25*t**5 + 0*t - 2. Let k(h) = 0. Calculate h.
0, 1/4, 1
Let f be 2/9 - (-50)/18. Let t be 9/f - (0 + -2). Solve -3*x**2 + t*x**2 + 0*x - 2*x = 0.
0, 1
Let h(c) be the third derivative of -5*c**8/168 - 11*c**7/42 - 3*c**6/4 - c**5/3 + 5*c**4/3 + 4*c**2. Factor h(p).
-5*p*(p + 2)**3*(2*p - 1)
Let j(d) = -d - 4. Let u be j(-6). Let p(n) be the first derivative of 0*n - 2 + n**u + 2/3*n**3. Factor p(z).
2*z*(z + 1)
Let s(l) be the first derivative of 2*l**3/15 - 2*l**2/5 + 8. Factor s(u).
2*u*(u - 2)/5
Let b(z) = -2*z**2 + 4*z - 2. Let s be b(3). Let f be ((-3)/s)/((-3)/(-2)). Suppose 0 + 1/4*n**2 + f*n = 0. What is n?
-1, 0
Let w = 9 - 6. Suppose -v = -0 - w. Suppose -1/4*l**v + 0*l**4 + 0 + 0*l + 1/4*l**5 + 0*l**2 = 0. Calculate l.
-1, 0, 1
Let p(l) be the second derivative of 0 - 2/3*l**4 - 1/10*l**5 + 0*l**2 + 3*l - 4/3*l**3. Suppose p(x) = 0. What is x?
-2, 0
Let c(b) be the first derivative of b**7/1680 + b**6/240 + b**5/120 + b**3/3 + 6. Let u(q) be the third derivative of c(q). Factor u(g).
g*(g + 1)*(g + 2)/2
Let d be (3 - (1 + 1)) + 2. Factor -3*w + w**3 + 3 + w**2 + w**4 + 2*w**d + 0*w**3 - 5.
(w - 1)*(w + 1)**2*(w + 2)
Let o be (2 + -4 - -1) + -3. Let d be o/(-3) + 39/(-36). Factor -d - 1/4*n**4 + 1/2*n**2 + 0*n**3 + 0*n.
-(n - 1)**2*(n + 1)**2/4
Let v(x) be the third derivative of -x**8/6720 + x**7/1260 - x**6/720 + x**4/8 + 3*x**2. Let k(w) be the second derivative of v(w). What is u in k(u) = 0?
0, 1
Let u = -116/1365 + 7/78. Let w(g) be the second derivative of 0*g**2 + 0 + 1/30*g**3 - u*g**7 + 1/75*g**6 - 1/30*g**4 + 2*g + 0*g**5. Factor w(n).
-n*(n - 1)**3*(n + 1)/5
Let z(d) = -d - 4*d**2 + 2 + 0*d**3 + d**3 - 5*d**3 - d. Let f(m) = 5*m**3 + 5*m**2 + 3*m - 3. Let s(j) = 2*f(j) + 3*z(j). Determine p, given that s(p) = 0.
-1, 0
Let h(m) be the second derivative of m**4/6 - m**3/3 - 4*m. Solve h(q) = 0.
0, 1
Find k, given that -1/4 + k**3 - 3/2*k**2 - 1/4*k**4 + k = 0.
1
Suppose 0*b + 9 = 3*b. Factor -2 + b*p + p - p**3 - p.
-(p - 1)**2*(p + 2)
Let t(w) = -w**2 + 80*w - 397. Let l(b) = 3*b**2 - 160*b + 795. Let a(m) = -3*l(m) - 5*t(m). Factor a(f).
-4*(f - 10)**2
Suppose 30 = -5*c - 0*c. Let m(a) = 3 + 0 - 4*a + 5 - 12*a**2 + 0. Let d(l) = 11*l**2 + 4*l - 7. Let k(z) = c*m(z) - 7*d(z). Solve k(t) = 0.
-1, 1/5
Let d be (12/10)/(38/95). Let c(p) be the first derivative of -p**2 + 1/3*p**d - 2 + p. Solve c(b) = 0 for b.
1
Suppose 2*g + 10 = 4*g. Suppose -2*y**2 + 5 + 2*y**4 + 0*y**4 - g - y**5 + y = 0. Calculate y.
-1, 0, 1
Let g(u) be the first derivative of u**5/50 - u**4/20 + 10. Solve g(j) = 0.
0, 2
Factor -15*p**4 - 3*p + 5*p**2 - 10*p**4 + 2*p - 10*p**5 - 15*p**3 + 6*p.
-5*p*(p + 1)**3*(2*p - 1)
Let m(o) be the third derivative of -o**5/30 + o**4/3 - 4*o**3/3 - 3*o**2. Factor m(x).
-2*(x - 2)**2
Let b(g) = -g. Let v(u) = -4*u**2 + 12. Let p(m) = 8*b(m) + v(m). Find x such that p(x) = 0.
-3, 1
Let b(g) = 2*g**4 - 2*g**3 - 14*g**2 + 6*g. Let w(p) = -5*p**4 + 4*p**3 + 27*p**2 - 11*p - 1. Let o(i) = -7*b(i) - 4*w(i). What is c in o(c) = 0?
-1, -2/3, 1
Let h(z) = -z**2 - 1. Let u(i) = -i**4 + 2*i**3 + 2*i**2 + 3. Let x(g) = 3*h(g) + u(g). Solve x(n) = 0.
0, 1
Let q(u) be the third derivative of u**6/40 + u**5/5 + 3*u**4/8 - 5*u**2. Solve q(b) = 0.