*h**3 - 1/4*h**2 + u - 1/24*h**4. Solve i(v) = 0 for v.
1
Solve 2/13*y**2 - 4/13 + 2/13*y = 0 for y.
-2, 1
Let m be 5/(-2)*(-120)/100. Find w, given that -8/7*w**2 + 0 - 2/7*w**m - 8/7*w = 0.
-2, 0
Factor 0 - r - 1/4*r**3 - r**2.
-r*(r + 2)**2/4
Factor 2/7*y**3 + 22/7*y - 2*y**2 - 10/7.
2*(y - 5)*(y - 1)**2/7
Let f be 24/(-120) - -7*(-6)/(-10). What is x in 10/7*x**3 + 4/7 + 0*x**2 - 10/7*x - 4/7*x**f = 0?
-1, 1/2, 1, 2
Let m(w) = -w**4 - 4*w**3 + w**2 + 9*w. Let v = -9 + 15. Let z(t) = 2*t**4 + 4*t**3 - 2*t**2 - 10*t. Let o(s) = v*m(s) + 5*z(s). Determine n so that o(n) = 0.
-1, 0, 1
Let b(c) be the third derivative of -1/180*c**5 + 0*c + 2*c**2 + 0*c**4 - 1/210*c**7 + 0*c**3 - 1/120*c**6 - 1/1008*c**8 + 0. What is r in b(r) = 0?
-1, 0
Let s(p) be the second derivative of -p**6/360 - p**5/120 + p**3/6 - 2*p. Let z(o) be the second derivative of s(o). Factor z(t).
-t*(t + 1)
Let i(m) = -m + 3. Let x be i(4). Let g = 1 - x. Factor -4*k**3 + 6*k**4 - 6*k**2 + k**2 + 4*k + k**2 - 2*k**g.
2*k*(k - 1)*(k + 1)*(3*k - 2)
Let p be (-2)/(-4) + (-190)/(-4). Let d = p + -93/2. Let -1/2*b - d*b**2 + 1 = 0. Calculate b.
-1, 2/3
Let h(o) be the second derivative of 0 - 3*o - 3/5*o**5 - 2/3*o**3 + 2/15*o**6 + o**4 + 0*o**2. Let h(i) = 0. Calculate i.
0, 1
Suppose -32*i**3 - 9*i**4 + 9*i**4 - 64 - i**4 - 128*i - 96*i**2 - 3*i**4 = 0. Calculate i.
-2
Let w(s) be the first derivative of -2*s**5/25 - s**4/5 + 2*s**3/15 + 2*s**2/5 + 8. Factor w(u).
-2*u*(u - 1)*(u + 1)*(u + 2)/5
Suppose 87 = 20*s + 9*s. Suppose -11/2*z - 23*z**2 - 45*z**s - 81/2*z**4 - 1/2 - 27/2*z**5 = 0. What is z?
-1, -1/3
Let w(o) be the first derivative of o**3 + 3*o**2 - 6. Solve w(k) = 0 for k.
-2, 0
Let l(x) be the third derivative of x**5/54 + x**4/36 - 2*x**3/27 + 23*x**2. Factor l(f).
2*(f + 1)*(5*f - 2)/9
Let n(q) be the first derivative of -1/4*q + 6 - 1/4*q**3 + 1/16*q**4 + 3/8*q**2. Factor n(h).
(h - 1)**3/4
Let u(j) be the second derivative of 4*j**2 + 13/4*j**5 + 10*j**3 + 3*j + 71/6*j**4 - 5*j**6 - 125/42*j**7 + 0. Factor u(b).
-(b - 1)*(b + 1)*(5*b + 2)**3
Let x(y) be the third derivative of -y**10/10080 - y**9/5040 + y**8/2240 + y**7/840 - 3*y**4/8 - 3*y**2. Let v(h) be the second derivative of x(h). Factor v(a).
-3*a**2*(a - 1)*(a + 1)**2
Let g(p) be the second derivative of p**6/45 - p**5/10 - p**4/9 + 4*p**3/3 - 8*p**2/3 + 9*p. Factor g(t).
2*(t - 2)**2*(t - 1)*(t + 2)/3
Let o be 0 + 4/6 - 1012/1725. Let q(a) be the first derivative of 4 - 2/5*a**2 + 2/5*a + 0*a**3 + 1/5*a**4 - o*a**5. What is y in q(y) = 0?
-1, 1
Find s, given that 0*s + 0*s**2 + 0*s**4 - 2/9*s**5 + 2/9*s**3 + 0 = 0.
-1, 0, 1
Let o(v) be the third derivative of v**6/30 + 2*v**5/5 - 64*v**3/3 - 17*v**2. Suppose o(j) = 0. Calculate j.
-4, 2
Let p = -5 + 7. Factor 0*i**2 - 3*i**2 - 3*i + 0*i**2 - p + 2*i**2.
-(i + 1)*(i + 2)
Let j(k) = 7*k**2 - 7*k - 5. Let a(v) = 20*v**2 - 20*v - 14. Let y(t) = -5*a(t) + 14*j(t). Factor y(n).
-2*n*(n - 1)
Let q(x) be the second derivative of 1/10*x**6 + 0 + 1/30*x**5 + 2/63*x**7 - 7*x - 2/9*x**4 - 1/3*x**3 - 1/6*x**2. Let q(t) = 0. What is t?
-1, -1/4, 1
Let n(v) be the third derivative of -v**9/211680 + v**7/5880 - v**6/1260 - v**5/15 - 6*v**2. Let x(p) be the third derivative of n(p). Factor x(a).
-2*(a - 1)**2*(a + 2)/7
Let m(u) = -u - 11. Let z be m(0). Let n = z + 15. Factor 3*x - n*x - x**2 - x**2 + 3*x.
-2*x*(x - 1)
Let d(v) = -v**3 + v**2 + 1. Let n(o) = -o**4 - 4*o**3 + 5*o**2 + 4. Let s(a) = -12*d(a) + 3*n(a). Suppose s(q) = 0. Calculate q.
-1, 0, 1
Let g(j) be the second derivative of -j**9/6048 - j**8/1680 - j**7/1680 - j**3/2 - 2*j. Let p(k) be the second derivative of g(k). Factor p(m).
-m**3*(m + 1)**2/2
Let h(g) be the third derivative of -g**6/600 - g**5/100 - g**4/60 - 3*g**2 + 13*g. Factor h(p).
-p*(p + 1)*(p + 2)/5
Let x(o) be the second derivative of 3*o**6/20 + 3*o**5/20 - 3*o**4/8 - o**3/2 + 8*o. Determine a, given that x(a) = 0.
-1, -2/3, 0, 1
Suppose -2*t = 2*t - 3*k, 4*t + 3*k = 0. Factor 3/5*g**4 + 3/5 + t*g**3 - 6/5*g**2 + 0*g.
3*(g - 1)**2*(g + 1)**2/5
Let k be 7/(210/(-25)) + 4/3. Suppose -1/2*j + j**2 - k*j**3 + 0 = 0. Calculate j.
0, 1
Factor 3 + 462*n**3 + 428*n**2 - 104*n**2 + 186*n**3 + 54*n.
3*(6*n + 1)**3
Factor 3/5 - 6/5*g**2 + 3/5*g.
-3*(g - 1)*(2*g + 1)/5
Let y be ((-48)/(-45))/4*5. Suppose -200*b = -195*b - 10. Factor y - 2/3*q - 2/3*q**b.
-2*(q - 1)*(q + 2)/3
Let u = 0 + 5. Find t such that u*t + 2 + t**3 + 4*t**2 + 1 - 1 = 0.
-2, -1
What is h in -4/5*h**2 + 4/5 - 6/5*h = 0?
-2, 1/2
Let h(u) be the second derivative of -u**5/20 + u**4/12 + u**3/3 + 4*u. Factor h(w).
-w*(w - 2)*(w + 1)
Suppose -3 = -3*m + 3. Let 3 - 4*a + 6*a**m - 3 + 4*a**3 - 6*a**4 = 0. Calculate a.
-1, 0, 2/3, 1
Suppose -g - 3 = -2*g. Let a(i) be the first derivative of 0*i + 1/14*i**4 + 1/7*i**2 + 4/21*i**g + 1. Solve a(t) = 0 for t.
-1, 0
Let f(q) be the second derivative of 0 - 13/45*q**6 + 0*q**2 + 1/18*q**4 - 5/63*q**7 + 2/9*q**3 - 3/10*q**5 + 6*q. Factor f(w).
-2*w*(w + 1)**3*(5*w - 2)/3
Let r(a) be the first derivative of -2*a**3/45 - a**2/5 - 4*a/15 - 10. Solve r(k) = 0 for k.
-2, -1
Suppose 6 = -3*o, 2*p = -3*p - o + 23. Let z(w) be the second derivative of 0 + 0*w**2 + 0*w**3 - 1/40*w**p + w + 1/24*w**4. Factor z(t).
-t**2*(t - 1)/2
Let l(q) be the third derivative of q**8/112 - q**6/10 + q**5/10 + 3*q**4/8 - q**3 + 3*q**2. Factor l(y).
3*(y - 1)**3*(y + 1)*(y + 2)
Let c = -2746/25 - -110. Let t(l) be the first derivative of 0*l - 2/15*l**3 + 0*l**2 + 3 - 1/10*l**4 + c*l**5. Determine s, given that t(s) = 0.
-1/2, 0, 1
Factor -3/4*w**4 + 0*w**3 + 3/2*w**2 - 3/4 + 0*w.
-3*(w - 1)**2*(w + 1)**2/4
Factor 2/5*i**4 + 0 + 8/5*i**3 + 8/5*i**2 + 0*i.
2*i**2*(i + 2)**2/5
Let -3/5*c**3 + 0*c**2 + 3/5*c + 0 = 0. Calculate c.
-1, 0, 1
Let r = -78 + 78. Let j(x) be the second derivative of 0*x**3 - 9/40*x**5 - 1/12*x**4 + r + 3*x + 0*x**2. Factor j(d).
-d**2*(9*d + 2)/2
Suppose 4 = 5*y - 1. Let t(k) = 4*k**2 - 2*k + 1. Let d be t(y). Factor 2*f**5 - 32*f**2 + 18*f - 12*f**4 + 28*f**d + 5 - 3 - 6.
2*(f - 2)*(f - 1)**4
Let t be (-74)/(-333) + (-1 - (-7)/9). Let f(q) be the second derivative of 2*q + 0*q**5 - 1/15*q**6 + 0*q**3 - 1/21*q**7 + 0 + t*q**2 + 0*q**4. Factor f(h).
-2*h**4*(h + 1)
Suppose -o + o - 3*o = 0. Solve -28/3*h**3 + o - 8/3*h**2 + 0*h = 0.
-2/7, 0
Let r be ((-2 + 7)/175)/2. Let v(c) be the second derivative of -1/21*c**4 + 1/21*c**3 - r*c**5 - 2*c + 2/7*c**2 + 0. Factor v(u).
-2*(u - 1)*(u + 1)*(u + 2)/7
Let q(r) be the first derivative of r**2/2 + 9*r - 3. Let u be q(-9). Factor u + 4/5*b - 2/5*b**2.
-2*b*(b - 2)/5
Let w(x) be the first derivative of -2*x**3/15 + 6*x**2/5 - 18*x/5 - 34. Factor w(v).
-2*(v - 3)**2/5
Let k be 2/(-11) + 171/33. Suppose k*x + 0*x = -4*v + 18, 2 = 4*v - 3*x. Factor 1/5*j**3 + 12/5*j + 6/5*j**v + 8/5.
(j + 2)**3/5
Let l = 9 - 0. Let z be l/(-6)*(-2)/6. Factor 1/2*u**4 - 1/6*u**5 + 1/6*u**2 + 0*u - z*u**3 + 0.
-u**2*(u - 1)**3/6
Suppose 20*t - 16*t = 0. Solve 1/2*s**4 - 1/4*s**5 + t*s + 0 - 1/2*s**2 + 1/4*s**3 = 0 for s.
-1, 0, 1, 2
Let g(t) = t**3 + 9*t**2 - 10*t + 2. Let i be g(-10). Let c = 139/90 + -2/45. Factor 0 - j + c*j**i.
j*(3*j - 2)/2
Let h(u) = -u**4 - u**3 - u**2 - 1. Let f(c) = 2*c**4 - 18*c**2 - 8*c**2 - 3 - 10*c**3 + 7 - 14*c - 4*c. Let x(m) = f(m) + 4*h(m). Factor x(t).
-2*t*(t + 1)*(t + 3)**2
Factor 0 + 3/2*z**2 - 9*z.
3*z*(z - 6)/2
Let f(u) be the second derivative of u**7/2520 - u**5/360 + u**3/2 - u. Let o(x) be the second derivative of f(x). Determine n, given that o(n) = 0.
-1, 0, 1
Let c(i) be the third derivative of i**6/60 + i**5/30 - i**4/6 + 8*i**2. Factor c(z).
2*z*(z - 1)*(z + 2)
Factor -3*g**3 - 3*g**3 + 3*g**3 + 4*g - g**3.
-4*g*(g - 1)*(g + 1)
Let x(m) be the second derivative of -1/10*m**5 - 1/5*m**6 + 1/3*m**3 - 2*m**2 + 5/6*m**4 + 3*m + 0. Suppose x(a) = 0. Calculate a.
-1, 2/3, 1
Factor -2/7 + 0*h + 2/7*h**2.
2*(h - 1)*(h + 1)/7
Let o(z) be the third derivative of -1/105*z**7 + 0 + 0*z + z**2 - 13/30*z**5 - z**4 - 4/3*z**3 - 1/10*z**6. Determine w, given that o(w) = 0.
-2, -1
Let q(j) = -j**3 - 3*j**2 - j - 1. Let c be q(-3). Let r(h) be the first derivative of 0*h + 1/12*h**4 - 2/9*h**3 + 1/6*h**c + 1. Factor r(z).
z*(z - 1)**2/3
Let v(y) = -7*y**4 + 5*y**3 - 3*y**2 - 5. Let p(f) = 