or 1/2*a + 0*a**4 - a**v + 1/2*a**5 + 0 + 0*a**2.
a*(a - 1)**2*(a + 1)**2/2
Let b(g) be the third derivative of g**10/50400 + g**9/10080 + g**8/6720 - g**5/60 - 2*g**2. Let l(v) be the third derivative of b(v). Solve l(n) = 0.
-1, 0
Suppose 4*d - 9 = d. Let t(h) be the second derivative of -3*h + 0 + 1/18*h**4 + 2/9*h**d + 1/3*h**2. Factor t(b).
2*(b + 1)**2/3
What is g in 4*g**3 + 2*g - 2*g**2 - 6*g**2 + 0*g**3 + 2*g = 0?
0, 1
Let y = 26 + -22. Solve 2*f**5 - 1/2 - 1/2*f**4 + 2*f + f**2 - y*f**3 = 0.
-1, 1/4, 1
Let g(n) be the third derivative of 0*n**4 + 0*n - 1/240*n**5 + n**2 + 0 + 0*n**3. What is i in g(i) = 0?
0
Let a(f) = 3*f**3 - f**2. Let k(d) be the first derivative of d**4/4 - d**3/3 - 2. Let b(i) = a(i) - 2*k(i). Let b(o) = 0. Calculate o.
-1, 0
Let r(k) be the first derivative of -k**6/18 + k**5/15 + k**4/12 - k**3/9 + 5. Factor r(b).
-b**2*(b - 1)**2*(b + 1)/3
Let m(g) = g**2 - 2. Let t be m(-2). Let r(x) be the third derivative of 1/60*x**5 - 1/6*x**3 + 0*x + 4*x**t + 0*x**4 + 0. Factor r(y).
(y - 1)*(y + 1)
Suppose -2*b - b = 0. Let l = 113/3 + -37. Factor 0*y**2 + b*y - l*y**5 + 0 + 0*y**4 + 2/3*y**3.
-2*y**3*(y - 1)*(y + 1)/3
Let f(r) = 2*r**2 - 11*r + 4. Let k(y) be the third derivative of y**5/60 - y**4/4 + y**3/3 - y**2. Let c(j) = 3*f(j) - 5*k(j). Factor c(s).
(s - 2)*(s - 1)
Let p(z) be the second derivative of -3*z**5/40 + z**4/4 - z**3/4 - 4*z. Suppose p(n) = 0. Calculate n.
0, 1
Let 1 + 1/2*f**2 - 3/2*f = 0. Calculate f.
1, 2
Let v(r) be the second derivative of -r**8/1680 + r**6/120 - r**5/60 - r**3/6 - r. Let q(m) be the second derivative of v(m). Factor q(o).
-o*(o - 1)**2*(o + 2)
Solve 6*d**4 + 0*d - 42/5*d**3 + 0 + 12/5*d**2 = 0 for d.
0, 2/5, 1
Let x(z) = -z**3 - z**2 - 5 + 5 + 1. Let v(q) = -4*q**4 + 4 - 5*q**3 - 5*q**3 + 0*q**3 - 6*q**2. Let s(t) = v(t) - 4*x(t). Factor s(a).
-2*a**2*(a + 1)*(2*a + 1)
Suppose -2*u - 10 = -5*u + 2*q, -2*q = -4*u + 14. Find k such that -u*k**2 - 6*k**4 + 7*k**4 + k**2 - 12*k**3 + 6*k + 8*k**4 = 0.
-2/3, 0, 1
Let p(n) be the third derivative of n**6/360 - n**5/90 - n**4/72 + n**3/9 - 6*n**2. Factor p(w).
(w - 2)*(w - 1)*(w + 1)/3
Let r = 391/990 + 1/198. What is s in 0*s + 0 - r*s**2 = 0?
0
Let v(u) = u**2 + u - 1. Let q(s) = -s**2 - s + 3. Let z(p) = q(p) - v(p). Solve z(m) = 0.
-2, 1
Let s(f) be the second derivative of -f**5/10 - f**4 - 4*f**3 - 8*f**2 - 3*f. Factor s(c).
-2*(c + 2)**3
Let i(s) = s**5 - 7*s**4 - 2*s**2 + 11*s + 9. Let t(k) = k**5 - 6*k**4 - k**3 - 2*k**2 + 10*k + 8. Let h(p) = -5*i(p) + 6*t(p). Factor h(n).
(n - 3)*(n - 1)*(n + 1)**3
Let w(m) = m**3 - 6*m**2 + 10*m - 6. Suppose 0*y + y - 5 = 0, 0 = 3*r - 5*y + 13. Let a be w(r). Factor -4/3 + 2*q - 2/3*q**a.
-2*(q - 2)*(q - 1)/3
Let o(l) = 2*l**5 + l**4 + 2*l**3 - 3. Let p(z) = -2*z**5 - 2*z**4 - 2*z**3 + 2. Let v(y) = 2*o(y) + 3*p(y). Suppose v(x) = 0. Calculate x.
-1, 0
Let b be (6/144)/(5/3). Let u(g) be the second derivative of b*g**5 - 2*g - 1/8*g**2 + 0 + 1/168*g**7 - 1/8*g**3 - 1/24*g**4 + 1/40*g**6. Solve u(a) = 0 for a.
-1, 1
Let d(l) be the first derivative of -125*l**6/24 + 5*l**5/4 + 45*l**4/8 - 13*l**3/3 + l**2 - 10. Determine a so that d(a) = 0.
-1, 0, 2/5
Let y(x) be the third derivative of x**5/60 - x**4/8 - 21*x**2. Factor y(r).
r*(r - 3)
Let 0*m**2 + 0*m - 2/3*m**3 + 0 = 0. What is m?
0
Let l(z) be the first derivative of -2/5*z**6 + 3/4*z**4 + 9/25*z**5 - 4 - 3/10*z**2 + 0*z - 3/5*z**3. Find k such that l(k) = 0.
-1, -1/4, 0, 1
Let q(s) be the second derivative of -s**5/10 + 15*s. Let q(i) = 0. Calculate i.
0
Let w(y) be the second derivative of 3*y**5/130 - y**4/39 - 6*y. Find t, given that w(t) = 0.
0, 2/3
Let a(o) = o**2 + o + 1. Let t(d) = -5*d**2 + 5*d - 9. Let v(k) = -6*a(k) - 2*t(k). Let v(w) = 0. Calculate w.
1, 3
Let r be 2 + (4/2)/(-2). Factor -z + 2*z**3 - 2*z**2 + 2*z**3 - r - 3*z**3 + 3*z**2.
(z - 1)*(z + 1)**2
Let l(o) be the third derivative of -o**5/40 + 7*o**4/48 - o**3/6 - 9*o**2. Factor l(p).
-(p - 2)*(3*p - 1)/2
Let r(y) be the first derivative of 9*y**4/22 + 8*y**3/11 + 4*y**2/11 + 6. Factor r(n).
2*n*(3*n + 2)**2/11
Let d be 25/(-20) - 60/(-48). Find n such that -4/7*n + 0*n**3 - 2/7*n**4 + 6/7*n**2 + d = 0.
-2, 0, 1
Let f(k) be the first derivative of -k**8/5040 - k**7/1260 + k**6/360 + k**5/90 - k**4/18 - 2*k**3/3 + 3. Let t(x) be the third derivative of f(x). Factor t(n).
-(n - 1)**2*(n + 2)**2/3
Let n(i) = 4*i**5 + i**4 - 4*i**3 - 7*i**2 - 6*i. Let t(m) = -8*m**5 - 2*m**4 + 8*m**3 + 13*m**2 + 11*m. Let o(c) = 11*n(c) + 6*t(c). Find z such that o(z) = 0.
-1, -1/4, 0, 1
Factor -2/3*m**4 + 0 + 1/3*m**3 + 0*m + 0*m**2 + 1/3*m**5.
m**3*(m - 1)**2/3
Suppose -2 = 2*o + 2. Let j be 1/(-1)*(-2)/o. Let d(f) = -1. Let s(p) = 2*p**2 + 4*p - 2. Let u(m) = j*s(m) + 2*d(m). Suppose u(b) = 0. What is b?
-2, 0
Factor -1/5*u - 1/5*u**2 + 0.
-u*(u + 1)/5
Let q = 46 - 91/2. Factor q + 7/4*s**4 - 5/4*s + 5/4*s**3 - 9/4*s**2.
(s - 1)*(s + 1)**2*(7*s - 2)/4
Let j be ((-2)/2 - 1)/(-3). Let t = 23 - 23. Factor 8/3 - 2*z**2 + t*z + j*z**3.
2*(z - 2)**2*(z + 1)/3
What is w in -114/5*w**4 + 32*w - 32/5 - 304/5*w**2 + 272/5*w**3 + 18/5*w**5 = 0?
2/3, 1, 2
Suppose 7*u = 13*u - 12. Let -6*b**3 + 3/2*b**4 + 15/2*b**u + 0 - 3*b = 0. What is b?
0, 1, 2
Let s(w) be the second derivative of -w**4/8 + w**3/12 + 4*w + 1. Factor s(l).
-l*(3*l - 1)/2
Determine f, given that 0 + 0*f**3 - 4/7*f**4 + 4/7*f**2 - 2/7*f**5 + 2/7*f = 0.
-1, 0, 1
Factor 4/7*p**2 + 8/7*p + 0.
4*p*(p + 2)/7
Factor 12/5*p + 3/5*p**3 + 0 - 12/5*p**2.
3*p*(p - 2)**2/5
Find v such that 0 + 8/13*v**2 + 2/13*v**3 + 8/13*v = 0.
-2, 0
Find x, given that -3*x**4 - x**2 + x**2 + 0*x**2 - 3*x**3 = 0.
-1, 0
Let q be 2/6 - (-10)/6. Let c be 12 + (-8)/(-4) - q. Factor -3/2*m**3 - c*m - 6 - 15/2*m**2.
-3*(m + 1)*(m + 2)**2/2
Suppose -3*o - 2 = 2*f - 20, 3 = f. Find y such that 0 - 1/5*y + 0*y**3 + 1/5*y**5 + 2/5*y**2 - 2/5*y**o = 0.
-1, 0, 1
Suppose 2*f - 2 = -o - 1, f = -o. Let a(l) = l**5 + 3*l**3 + 4*l**2 - 4*l. Let b(y) = y**3 - 2 + 2 - y + y**2. Let k(t) = f*a(t) - 4*b(t). Factor k(s).
s**3*(s - 1)*(s + 1)
Factor 6/5*t + 2/5*t**2 + 4/5.
2*(t + 1)*(t + 2)/5
Let h(r) be the third derivative of -r**5/24 + 5*r**4/6 + 15*r**3/4 + r**2 - 35*r. Solve h(m) = 0 for m.
-1, 9
Suppose 0 + 0*f + 2/5*f**2 = 0. What is f?
0
Suppose -5*a = -2*r - 18, 18 = 3*a - 2*a - 4*r. Let w(n) = -n**3 - 4*n**2 + 13*n + 8. Let d be w(-6). Factor -5/2*c**d - 1/2*c**4 + 0 + c + a*c**3.
-c*(c - 2)*(c - 1)**2/2
Suppose 3*q + 2*q**2 + 5*q**2 + 0*q**2 - 4*q**2 = 0. What is q?
-1, 0
Let f be 21/(-49) + (-6)/(-14). Factor 3/2 - 3/2*r**2 + f*r.
-3*(r - 1)*(r + 1)/2
Factor 0 - 3/2*j**3 + 15*j**2 - 27/2*j.
-3*j*(j - 9)*(j - 1)/2
Let h(x) = -6*x**3 - 3*x**2 + 3*x - 3. Let l(s) = -s**4 - 12*s**3 - 6*s**2 + 5*s - 5. Let w(b) = -5*h(b) + 3*l(b). What is o in w(o) = 0?
-1, 0
Let u(o) be the first derivative of -2*o**5/15 + 2*o**3/9 + 5. Determine a, given that u(a) = 0.
-1, 0, 1
Let h(u) be the third derivative of u**6/900 - u**5/150 - u**3/6 + 4*u**2. Let r(b) be the first derivative of h(b). Suppose r(y) = 0. Calculate y.
0, 2
Let j(b) be the first derivative of b**5/270 + b**4/54 + b**3/27 + 3*b**2/2 + 3. Let s(p) be the second derivative of j(p). Factor s(i).
2*(i + 1)**2/9
Let h be (-6)/(-33) - (-1176)/308. Factor 3/2*s**5 - 1/2*s - 3*s**2 - s**3 + 1/2 + 5/2*s**h.
(s - 1)*(s + 1)**3*(3*s - 1)/2
Let y(m) be the second derivative of -m**5/10 - m**4/2 - 2*m**3/3 + 2*m. Determine a, given that y(a) = 0.
-2, -1, 0
Suppose 4*q = -3*z + 8 + 5, 3*z - q = 8. Solve 0*o - 2/7*o**z + 0 + 2/7*o**4 + 0*o**2 = 0.
0, 1
Suppose 2 = 4*v + 2*f, -8*v - 3*f = -3*v. Suppose 34/7*b**2 - 8/7*b**v + 8/7 - 40/7*b = 0. Calculate b.
1/4, 2
Let p = 1067/20 + -160/3. Let k(a) be the third derivative of -1/24*a**4 + p*a**5 + 0*a**3 + 2*a**2 + 0*a + 0. Factor k(j).
j*(j - 1)
What is t in -1/3*t + 0 + 1/3*t**3 - 1/3*t**2 + 1/3*t**4 = 0?
-1, 0, 1
Let w be 0/2 + 3 + 0. Suppose 0*t**3 - 4*t**4 - 2*t**3 + w*t**4 = 0. Calculate t.
-2, 0
Let f(n) = -45*n**4 + 126*n**3 - 116*n**2 + 34*n - 5. Let u(l) = -180*l**4 + 505*l**3 - 465*l**2 + 135*l - 20. Let r(b) = -25*f(b) + 6*u(b). Factor r(d).
5*(d - 1)**2*(3*d - 1)**2
Let g(z) be the third derivative of z**7/840 - z**6/240 + z**5/240 + 7*z**2. Factor g(h).
h**2*(h - 1)