2/5*s**2 + 3*s + 0 + 1/3*s**3 + 2/15*s**4. Factor f(z).
2*(z + 1)**2*(z + 2)/5
Let z(m) = 4*m. Suppose 6*t - 7*t + 1 = 0. Let y be z(t). Determine a, given that 1/3*a**y - 2/3 - a**2 - 5/3*a + 1/3*a**3 = 0.
-1, 2
Let a = 66 + -63. Factor -3/2*c - 3 + 3*c**2 + 3/2*c**a.
3*(c - 1)*(c + 1)*(c + 2)/2
Let v(a) be the second derivative of -a**4/30 + 2*a**3/5 - a**2 + 32*a. Factor v(g).
-2*(g - 5)*(g - 1)/5
Suppose 5*j + 5*z = 0, 1 + 2 = 3*j + 2*z. Let a be 4/10 + (-8)/(-5). Factor i**3 - i + j + 0*i - i**a - 2.
(i - 1)**2*(i + 1)
Find z such that 0 - 6/5*z**3 + 0*z + 6/5*z**2 = 0.
0, 1
Suppose 0 = -2*m + 2*o + 30, 2*o - 31 = -5*m + 58. Let f = m + -12. Factor f*a - 2*a - 4*a + a**2.
a*(a - 1)
Solve 47*p**5 - 50*p**3 - 75*p + 17 + 100*p**2 - 42*p**5 + 3 = 0.
-4, 1
Let d(z) = 4*z**2 + z - 3. Let k be -3*((-20)/6)/2. Suppose -7 = -b - 4. Let s(j) = -8*j**2 - 2*j + 5. Let m(i) = b*s(i) + k*d(i). Factor m(h).
-h*(4*h + 1)
Let o(r) be the third derivative of -r**6/540 - r**5/54 - r**4/27 + 24*r**2. Factor o(d).
-2*d*(d + 1)*(d + 4)/9
Let m be (-2 - -1) + 850/198. Let i = m + 4/99. Find f, given that -i*f**4 + 7/3*f**3 + 1/3*f - 8/3*f**5 + 11/3*f**2 - 1/3 = 0.
-1, -1/2, 1/4, 1
Let i(s) = -4*s**2 - 9*s. Let j(u) = 2*u**2 + 4*u. Let w(t) = 2*i(t) + 5*j(t). Factor w(z).
2*z*(z + 1)
Let z(d) = -3*d**2 - 5*d + 7. Let v(w) = 2*w**2 + 6*w - 8. Let j(p) = 3*v(p) + 4*z(p). Factor j(k).
-2*(k + 1)*(3*k - 2)
Let q(a) = a**2 + 4*a - 2. Let w be q(-5). Factor 0*y - w*y**2 + 0*y + 2*y**2 - y**3.
-y**2*(y + 1)
Suppose -6*t + t = -15. Factor -15*r**2 + 0*r - 12 + 2*r**3 + 27*r + r**3 - t*r.
3*(r - 2)**2*(r - 1)
Let i(k) be the first derivative of -1/6*k**3 + 1/4*k**4 + 1/10*k**5 - 2 + 0*k - 1/2*k**2. Determine u, given that i(u) = 0.
-2, -1, 0, 1
Let v(t) = 2*t**4 - 8*t**3 + 12*t**2 - 5*t + 5. Let y(h) = 6*h**4 - 24*h**3 + 36*h**2 - 16*h + 14. Let a(q) = 8*v(q) - 3*y(q). Solve a(f) = 0.
1
Let n be (-8 - -5)*8/(-6). Let -t**3 + 3*t**3 - n*t**2 + 2*t**2 = 0. What is t?
0, 1
Let q = -2 + 11. Let b = q - 3. Factor b*m**2 + 2 - m**3 + 0*m**3 + 3*m**3 + 6*m.
2*(m + 1)**3
Suppose 3*s - 18*s = -60. Let c(y) be the first derivative of 0*y**2 + y**3 + 2 - s*y + 1/4*y**4. Factor c(f).
(f - 1)*(f + 2)**2
Factor 6/5*b**2 + 2/5*b**4 + 0 - 2/5*b - 6/5*b**3.
2*b*(b - 1)**3/5
Let c(g) be the first derivative of -4*g**3/3 + 6*g**2 + 4. Let c(v) = 0. What is v?
0, 3
Let g be 2 + ((-69862)/2688)/13. Let w(h) be the third derivative of 0 - 1/420*h**7 + 1/480*h**6 + g*h**8 + 0*h + 0*h**4 - h**2 + 0*h**3 + 0*h**5. Factor w(a).
a**3*(a - 1)**2/4
Let f(m) be the first derivative of -1/4*m**2 - 1/4*m**3 + 0*m - 6. Let f(y) = 0. What is y?
-2/3, 0
Let k be 15/50*(-8)/(-6). Let p(n) be the first derivative of 0*n**2 + 3 - k*n**3 + 8/5*n - 1/10*n**4. Factor p(x).
-2*(x - 1)*(x + 2)**2/5
Let i(g) be the first derivative of g**3/7 + 3*g**2/14 + 2. Factor i(r).
3*r*(r + 1)/7
Let i be (-1 - -2) + (2 - 4). Let t be 0/i - (-18)/27. Factor -t*u + 2/3*u**3 - 1/3 + 0*u**2 + 1/3*u**4.
(u - 1)*(u + 1)**3/3
Determine c so that 26/7*c**2 + 8/7 + 2/7*c**4 + 12/7*c**3 + 24/7*c = 0.
-2, -1
Let a(q) be the third derivative of -q**6/840 + q**5/210 + q**4/168 - q**3/21 - 8*q**2. Factor a(b).
-(b - 2)*(b - 1)*(b + 1)/7
Let m(n) be the second derivative of n**4/30 - 2*n**3/15 + n**2/5 - 6*n. Determine i, given that m(i) = 0.
1
Factor 6*d + 24*d**2 + 1/2 + 32*d**3.
(4*d + 1)**3/2
Let n(k) be the first derivative of 1/20*k**4 - 2/15*k**3 - 1 + 0*k**2 + 0*k. Solve n(w) = 0 for w.
0, 2
Suppose 55 = 5*z + 45. Find f such that -4/5*f + 2/5*f**z + 2/5 = 0.
1
Suppose 0 = r + 3*r - 68. Suppose 0 = 5*v - 3 - r. Factor 2*l - v*l + 2 + 2*l**3 - 5*l**2 + 3*l**2.
2*(l - 1)**2*(l + 1)
Factor 0*g - 1/3 + 1/3*g**2.
(g - 1)*(g + 1)/3
Let o = 2 - 0. What is t in 1 + 5*t**2 + 4*t**o - 2 = 0?
-1/3, 1/3
Let m(c) be the third derivative of 2*c**2 - 1/15*c**5 + 0 + 0*c**3 + 0*c + 1/24*c**4. What is p in m(p) = 0?
0, 1/4
Let d(q) be the second derivative of -q**6/225 - q**5/50 - q**4/30 - q**3/45 - 10*q. Let d(a) = 0. What is a?
-1, 0
Suppose -4*v + 12 = 0, 2*r + 5*v = -r + 63. Suppose -r = 4*s, -4*i + 0 = 2*s - 4. Suppose 9/2*c**3 - 3/2*c**4 - 9/2*c - 3/2*c**2 + i = 0. What is c?
-1, 1, 2
Let p(d) be the third derivative of -d**7/1260 - d**6/720 - 11*d**2. Determine b, given that p(b) = 0.
-1, 0
Let c(t) be the third derivative of t**5/12 - t**4/3 - 2*t**3/3 + 7*t**2. Factor c(u).
(u - 2)*(5*u + 2)
Let l(t) = -4*t + 30. Let u be l(7). Factor 1/4 + 1/4*a**3 - 1/4*a - 1/4*a**u.
(a - 1)**2*(a + 1)/4
Let k(n) be the second derivative of n**8/3360 + n**7/420 + n**6/120 + n**5/60 - n**4/6 + 2*n. Let t(i) be the third derivative of k(i). Factor t(q).
2*(q + 1)**3
Let p(y) = -61*y**2 + 66*y - 5. Let d(h) = -h**2 - 7*h - 5. Let j be d(-4). Let t(g) = -31*g**2 + 33*g - 2. Let i(r) = j*t(r) - 4*p(r). Let i(z) = 0. What is z?
2/9, 1
Let f be 18/16 - (-2)/(-16)*8. Let d(o) be the second derivative of -o + 1/12*o**3 - 1/10*o**5 + 0*o**2 + 0 + f*o**4. Factor d(u).
-u*(u - 1)*(4*u + 1)/2
Let d(c) = 35*c**3 + 150*c**2 + 165*c + 50. Let j(l) = l**2 - 1. Let g(u) = d(u) + 5*j(u). Find q such that g(q) = 0.
-3, -1, -3/7
Suppose 0 = 4*t - 0*t - 8. Let f = 3 - t. Suppose b**3 - 5*b**3 + 4*b - f - 2*b**4 + 3 = 0. What is b?
-1, 1
Let s(a) be the second derivative of 1/30*a**5 + 2/45*a**6 + 2*a + 0*a**2 - 1/18*a**4 + 0*a**3 + 0. Factor s(f).
2*f**2*(f + 1)*(2*f - 1)/3
Let i = -6 - -8. Let h(g) be the third derivative of 0*g**3 - g**i - 1/15*g**5 + 1/60*g**6 + 0*g + 0 + 1/12*g**4. Find m such that h(m) = 0.
0, 1
Let k = 67 - 62. Let j(g) be the first derivative of -g**4 + 0*g**3 + 2*g + 2 + 2*g**2 - 2/5*g**k. Factor j(l).
-2*(l - 1)*(l + 1)**3
Find z such that -64*z + 32*z**3 + 48*z - 12*z**4 - 4*z**3 = 0.
-2/3, 0, 1, 2
Let n(l) be the second derivative of -1/90*l**6 + 1/18*l**4 - 1/6*l**2 + 0 + 0*l**3 - 2*l + 0*l**5. Factor n(v).
-(v - 1)**2*(v + 1)**2/3
Let u(y) be the third derivative of 3/10*y**5 + 1/315*y**7 - 3/4*y**4 - 1/20*y**6 + 0*y**3 + 0 + 0*y + 6*y**2. Factor u(q).
2*q*(q - 3)**3/3
Let c(k) be the second derivative of k**5/10 - 2*k**4/3 + 18*k. Factor c(u).
2*u**2*(u - 4)
Solve 3/2*x**5 + 0 - 9/2*x**3 + 0*x + 0*x**4 - 3*x**2 = 0 for x.
-1, 0, 2
Let q(d) = d**3 - d**2 + d. Let n(p) = 4*p + 3. Let w(u) = 3*u + 2. Let z(x) = -2*n(x) + 3*w(x). Let o(g) = q(g) - 3*z(g). What is b in o(b) = 0?
-1, 0, 2
Let z = 170 + -327/2. Solve z*f**3 + 0 - 7/4*f**4 - 2*f - 5*f**2 = 0.
-2/7, 0, 2
Let n(f) be the third derivative of f**8/1680 - f**6/180 + f**4/24 + 7*f**3/6 + 6*f**2. Let l(s) be the first derivative of n(s). Let l(u) = 0. What is u?
-1, 1
Suppose 3*x - 18 - 6 = 0. Let w(o) = o**2 - 9*o + 10. Let m be w(x). Factor 2 + t - t**3 - 2*t**m - t + t.
-(t - 1)*(t + 1)*(t + 2)
Factor -2/13*w**2 + 0*w + 0 - 2/13*w**3.
-2*w**2*(w + 1)/13
Let o(a) be the second derivative of 1/2*a**2 + 0 - 5/12*a**3 - 2*a + 1/8*a**4. Factor o(s).
(s - 1)*(3*s - 2)/2
Determine q, given that -q**4 + 1/3*q**5 + 1/3*q**3 - 2/3*q + 0 + q**2 = 0.
-1, 0, 1, 2
Let l(g) be the third derivative of -g**8/84 + 2*g**7/105 + g**2. What is k in l(k) = 0?
0, 1
Let l(u) be the second derivative of -u**6/30 - u**5/60 + u**4/18 - 2*u. Solve l(i) = 0.
-1, 0, 2/3
Let w = 195 - 193. Suppose 0 - 4/11*h**w + 2/11*h + 2/11*h**3 = 0. What is h?
0, 1
Let c(d) be the first derivative of -2 + 0*d**2 - 1/3*d**3 - 1/6*d**4 + 2*d. Let t(x) be the first derivative of c(x). Determine b, given that t(b) = 0.
-1, 0
Let s(h) be the first derivative of 3/14*h**4 + 1/7*h**6 - 2/7*h**2 + 0*h + 2/5*h**5 - 2/7*h**3 + 5. Determine g so that s(g) = 0.
-1, 0, 2/3
Factor -1/3*i**2 - i**3 + 1/3*i**4 + 0 + 2/3*i + 1/3*i**5.
i*(i - 1)**2*(i + 1)*(i + 2)/3
Let y(s) = -2*s - s**2 - 1 - 3 + 3*s**2. Let c(p) = -8 - 6*p - 2*p**2 - 3 + 4*p**2 + 3*p**2. Let r(m) = 4*c(m) - 11*y(m). Factor r(j).
-2*j*(j + 1)
Let p be 2/9 - (-2)/(-9). Let g = 2 + p. Find h such that 3*h - 5*h + 0*h**g - 2*h**2 = 0.
-1, 0
Let t(z) be the second derivative of -z**6/75 + z**4/30 + 3*z. Factor t(u).
-2*u**2*(u - 1)*(u + 1)/5
Let a(o) be the second derivative of -o**6/120 - o**5/40 + 3*o. Factor a(c).
-c**3*(c + 2)/4
Let p be 27/42 + 3/6. Find b such that 0*b + 2/7*b**3 - 6/7*b**2 + p = 0.
-1, 2
Let d = 8 - 6. Let k(q) be the first derivative of -d*q + 1 + 0*q**3 