+ 1)
Solve 4/5*z + 0 - 1/5*z**4 + 4/5*z**2 - 1/5*z**3 = 0.
-2, -1, 0, 2
Let r = 0 - -4. Let d = r - 4. Solve d*h + 2/3*h**2 - 2/3 = 0.
-1, 1
Let i(a) be the first derivative of a**6/9 + 8*a**5/15 + a**4 + 8*a**3/9 + a**2/3 + 14. Factor i(v).
2*v*(v + 1)**4/3
Factor 5*b**2 - 3 + 0*b**2 + 5 - 7*b**2.
-2*(b - 1)*(b + 1)
Let t(k) be the third derivative of k**6/540 + k**5/135 - k**4/108 - 2*k**3/27 - 6*k**2. Find s, given that t(s) = 0.
-2, -1, 1
Let g be 1/(6/(-4))*3. Let y be (6 + g)*(-1)/(-2). Factor -1/2*t**y + t - 1/2.
-(t - 1)**2/2
Let r(i) be the third derivative of -2*i**7/15 - i**6/15 + 7*i**5/5 + 10*i**4/3 + 8*i**3/3 + 40*i**2. Suppose r(b) = 0. Calculate b.
-1, -2/7, 2
Let g(m) = 5*m**3 + 2*m**2 - 3*m. Let c(k) = 14*k**3 + 5*k**2 - 9*k. Let p(n) = 6*c(n) - 17*g(n). Suppose p(b) = 0. What is b?
-3, -1, 0
Let h be (8/(-10))/((-2)/5). Let n(c) be the third derivative of 1/60*c**6 + 0*c**4 - 2*c**h + 0*c + 0*c**3 + 0*c**5 + 0. What is z in n(z) = 0?
0
Factor -26/3*j + 1/3*j**2 + 169/3.
(j - 13)**2/3
Let q be (-329)/(-28) + -6 - 4. Find n, given that -9/4*n**2 - 1/2 - 5/4*n**3 - q*n - 1/4*n**4 = 0.
-2, -1
Let h(l) be the second derivative of l**5/10 + l**4/2 + l**3 + l**2 - 7*l. Factor h(u).
2*(u + 1)**3
Let d be (-1)/(-949 - (0 + -4)). Let w(g) be the third derivative of d*g**7 + 1/27*g**3 - 2*g**2 + 0*g**6 + 0*g**4 - 1/135*g**5 + 0 + 0*g. Factor w(o).
2*(o - 1)**2*(o + 1)**2/9
Let j(a) be the second derivative of -a**4/78 - a**3/13 - 2*a**2/13 - a. Factor j(m).
-2*(m + 1)*(m + 2)/13
Let k = -58 - -63. Let n(w) be the second derivative of -2/5*w**2 + 1/50*w**k - 1/5*w**3 + 0 + 0*w**4 + 2*w. Factor n(d).
2*(d - 2)*(d + 1)**2/5
Let d(i) be the first derivative of -i**5/15 + i**4/6 + 7*i**3/9 + 2*i**2/3 - 29. Factor d(s).
-s*(s - 4)*(s + 1)**2/3
Let w(m) = m**4 - m**3 + m - 1. Let n be (-22 - 3)*(-4)/10. Let z(v) = 8*v**4 - 15*v**3 + 12*v**2 - v - 4. Let b(a) = n*w(a) - 2*z(a). Solve b(l) = 0 for l.
1/3, 1
Let l(a) = a**3 + 6*a**2 - 8*a - 6. Let c be l(-7). Let h be (4 + 0/(-1))*c. Let 2*y**3 - 4*y**4 + 3*y**2 + 2*y**h - 2*y - y**4 = 0. Calculate y.
-1, 0, 2/3, 1
Let h = 3 - 5/2. Suppose 0 + 0*y - h*y**2 - 1/2*y**4 + y**3 = 0. Calculate y.
0, 1
Let v(h) be the second derivative of -9/4*h**2 + 0 - 7*h - 7/4*h**3 - 1/4*h**4. Factor v(x).
-3*(x + 3)*(2*x + 1)/2
Factor -2*y**3 - 2*y**2 + 4*y**3 - 4*y**3.
-2*y**2*(y + 1)
Let v(o) = 9*o**4 - 15*o**3 - 2*o**2 - 4*o + 4. Let t(f) = -63*f**4 + 105*f**3 + 15*f**2 + 27*f - 27. Let n(j) = 4*t(j) + 27*v(j). Find a such that n(a) = 0.
-1/3, 0, 2
Let d(o) be the third derivative of -o**5/270 + o**4/108 + 2*o**3/27 + 9*o**2. Find h, given that d(h) = 0.
-1, 2
Let a(p) be the first derivative of -p**5/5 + p**4/2 - p**3/3 + 6. Let a(w) = 0. What is w?
0, 1
Let g(d) be the second derivative of -d**9/15120 - d**4/4 + 3*d. Let o(z) be the third derivative of g(z). Find t, given that o(t) = 0.
0
Let t(a) = a + 1. Let v = 9 + -6. Let i(s) = -s**3 - s**2 - 3*s - 3. Let c(l) = v*t(l) + i(l). Factor c(k).
-k**2*(k + 1)
Let x(v) = -v**4 - 3*v**3 + 3*v**2 - 9*v - 9. Let h(s) = -s**3 - s - 1. Let g(t) = -20*h(t) + 4*x(t). Determine r, given that g(r) = 0.
-1, 2
Let k - 3*k - 3*k + 3*k**2 - 4*k + 6 = 0. Calculate k.
1, 2
Let o(g) be the first derivative of 3*g**5/100 + g**4/10 - g**3/10 - 3*g**2/5 - 3*g + 3. Let c(j) be the first derivative of o(j). Factor c(b).
3*(b - 1)*(b + 1)*(b + 2)/5
Suppose 7*o - 3*o = 140. What is n in 8*n + 11*n**3 + 13*n**2 + o*n**2 + 25*n**3 - 4*n**2 = 0?
-1, -2/9, 0
Factor 19 - 19 - c**2.
-c**2
Let y = 6 + -4. Let m = 12 - 8. Factor j**3 + 0*j**y + 2*j**m + j**5 + 0*j**2.
j**3*(j + 1)**2
Let g = 30 - 28. Suppose r + 5 = a, -g*a + 0*a + 10 = 3*r. Factor r*h + 1/2 - 1/2*h**2.
-(h - 1)*(h + 1)/2
Let d(s) be the third derivative of s**5/120 + s**4/4 + 3*s**3 - 26*s**2. Factor d(i).
(i + 6)**2/2
Let x = 5 + 2. Let g(f) = 3*f**4 + 11*f**2 + 7*f. Let s(k) = -3*k**4 + 3*k + 0*k + 5*k**2 + 4*k**4. Let o(w) = x*s(w) - 3*g(w). Factor o(m).
-2*m**2*(m - 1)*(m + 1)
Let m(h) be the first derivative of 1/8*h**4 - 5 + 1/2*h**3 - 1/4*h**2 - 1/10*h**5 - h. Factor m(o).
-(o - 2)*(o - 1)*(o + 1)**2/2
Factor 18*u + 20*u**4 - 12*u - 4*u + 6*u**5 + 24*u**3 + 12*u**2.
2*u*(u + 1)**3*(3*u + 1)
Let j(g) be the second derivative of g**4/6 - g**3/5 + 13*g. Find t such that j(t) = 0.
0, 3/5
Let b(d) be the third derivative of d**5/240 - d**4/24 + d**3/8 + 4*d**2. Solve b(a) = 0 for a.
1, 3
Suppose 19 = -10*t + 19. Solve 2/3*k**2 + 2*k**4 + 0*k - 2*k**3 + t - 2/3*k**5 = 0 for k.
0, 1
What is z in 328/7*z**2 - 108/7*z**5 + 96/7 - 36*z**3 - 432/7*z**4 + 368/7*z = 0?
-3, -2/3, 1
Let m(w) be the first derivative of 2*w**3/3 - 3*w**2 + 4*w - 11. Determine x so that m(x) = 0.
1, 2
Let f(j) = -4*j**4 - 5*j**3 - 4*j**2 - 3*j + 9. Let d(p) = 2*p**4 + 3*p**3 + 2*p**2 + p - 4. Let h(l) = -9*d(l) - 4*f(l). Let h(q) = 0. Calculate q.
-3, -1, 0, 1/2
Let p be 4/(-6) + 33/9. Let z(r) be the first derivative of 0*r - 1/6*r**3 + 0*r**2 + p. Suppose z(i) = 0. What is i?
0
Let o = 7 + -5. Factor 3*v**4 - v**4 + 3*v**5 - 4*v**3 + 2*v**3 - 2*v**o - v**5.
2*v**2*(v - 1)*(v + 1)**2
Let r(q) = -3*q**4 - 2*q**3 + 9*q**2 - 3*q + 1. Let s(g) = g**3 - g**2 - g - 1. Let i(j) = 3*r(j) + 3*s(j). Solve i(d) = 0.
-2, 0, 2/3, 1
Let f(y) = -3*y**4 + 2*y**3 + 5. Suppose 6 = -2*q, -3*o - 2*q = -11 + 2. Let z(k) = k**4 - k**3 - 2. Let c(m) = o*z(m) + 2*f(m). Factor c(j).
-j**3*(j + 1)
Suppose -6*q = -3*q + 2*i + 170, 5*q = 2*i - 278. Let u = 170/3 + q. Suppose 0 + 2/3*c - u*c**2 = 0. What is c?
0, 1
Let u(p) = 6*p**3 - 5*p**2 + 5*p - 1. Let a be u(3). Let h = a - 652/5. Factor 6/5 - 3/5*n - 6/5*n**2 + h*n**3.
3*(n - 2)*(n - 1)*(n + 1)/5
Suppose -14/9*p**5 + 22/9*p**3 + 0 + 8/3*p**2 - 8/3*p**4 - 8/9*p = 0. Calculate p.
-2, -1, 0, 2/7, 1
Suppose -2*y + 3*d = 9 + 2, 3*y - 4*d = -14. Suppose 2 = -u + 6. Factor 0*p**3 - 1/4*p**y + 0 + 0*p + 1/4*p**u.
p**2*(p - 1)*(p + 1)/4
Find b such that 2/3*b**4 - 2/3 - 4/3*b**3 + 4/3*b + 0*b**2 = 0.
-1, 1
Let c(g) be the first derivative of 7*g**6/33 + 8*g**5/55 - 7*g**4/22 - 8*g**3/33 - 9. Solve c(d) = 0.
-1, -4/7, 0, 1
Let w(d) = 2*d**4. Let v(x) = 46*x**4 + 6*x**3 - 8*x**2. Let h(u) = 2*v(u) - 44*w(u). What is t in h(t) = 0?
-4, 0, 1
Let x(t) = t + 8. Let i be x(-3). Let y(h) be the second derivative of 0 + 3*h - 1/2*h**3 + 3/20*h**i + 0*h**4 + 0*h**2. Solve y(q) = 0.
-1, 0, 1
Let s(y) be the second derivative of 1/4*y**2 + 6*y + 0 - 1/48*y**4 + 1/24*y**3. Factor s(l).
-(l - 2)*(l + 1)/4
Let o be 4/(-10) + 94/135. Let h = o + -2/27. Determine q so that 2/9*q - 4/9*q**2 + 2/9*q**4 - 4/9*q**3 + h + 2/9*q**5 = 0.
-1, 1
Let y = 289/2 - 144. Solve 0 + 1/4*x**3 + 1/4*x - y*x**2 = 0.
0, 1
Suppose 9/7*t**3 + 3/7*t**5 + 0*t + 3/7*t**2 + 0 + 9/7*t**4 = 0. Calculate t.
-1, 0
Let m be 1 + 0 - (1 - 5). Suppose 5*l + u - 1 = 2*u, -5*l - 5*u - m = 0. Let -6/5*j**4 - 2/5*j - 8/5*j**5 + l + 2*j**3 + 6/5*j**2 = 0. Calculate j.
-1, 0, 1/4, 1
Let p(w) = w**2 - w + 2. Let g be p(2). Let t(m) be the third derivative of -1/300*m**5 - m**2 + 0*m + 0 - 1/15*m**3 - 1/40*m**g. Factor t(c).
-(c + 1)*(c + 2)/5
Let c be (-4)/((-3 - -4) + -3). Find f, given that -f + f - 4*f**2 + 6*f**c - 2*f**4 = 0.
-1, 0, 1
Let g(u) = u**2 - u + 3. Let d be g(0). Determine x so that -2 + 0*x**d - 3*x**3 + 2*x**2 + x**3 + 2*x = 0.
-1, 1
Determine f, given that 0 - 3/2*f + 1/2*f**2 = 0.
0, 3
Let f(g) = 5*g**3 - 11*g**2 + 4*g - 2. Let o(z) = -z**3 - z**2 + z - 1. Let v(b) = -f(b) + 2*o(b). Determine y so that v(y) = 0.
0, 2/7, 1
Let n = 12 + -9. Suppose 8 = c + n*c. Find j, given that 2/5*j + 2/5*j**c + 0 = 0.
-1, 0
Let i be 1*((-4)/(-104))/((-2)/(-8)). Determine d, given that -i - 10/13*d**4 - 20/13*d**2 - 2/13*d**5 - 10/13*d - 20/13*d**3 = 0.
-1
Let g(r) be the second derivative of -r**7/84 - r**6/30 + r**4/12 + r**3/12 - 4*r. Factor g(a).
-a*(a - 1)*(a + 1)**3/2
Suppose 2*n - 1 - 5 = 0. Solve 2*s**2 + 6*s**3 - 2*s**3 - 3*s**n = 0 for s.
-2, 0
Let b = 21 - -24. Let p be b/66 + 3/(-6). Factor 2/11 + 4/11*c + p*c**2.
2*(c + 1)**2/11
Let x(n) = -4*n**2 - 20*n + 32. Let h(w) = -w**2 - 7*w + 11. Let r(v) = -8*h(v) + 3*x(v). Factor r(j).
-4*(j - 1)*(j + 2)
Factor 22*f**3 + 51 - 48*f - 3*f**4 - 10*f**3 - 3.
-3*(f - 2)**3*(f + 2)
Let i be (-36)/126 - (-25)/14. Factor -3/4*z**