2*h**2 + 3/2*h + 0 = 0. What is h?
0, 3
Let c(h) be the third derivative of -3*h**8/15680 + h**7/1176 - h**6/840 - h**4/4 - 2*h**2. Let g(n) be the second derivative of c(n). Factor g(x).
-3*x*(x - 1)*(3*x - 2)/7
Let n(s) be the first derivative of 0*s**4 - 1/27*s**6 + 1/9*s**2 + 4/27*s**3 + 0*s - 4/45*s**5 - 1. Factor n(f).
-2*f*(f - 1)*(f + 1)**3/9
Let q(k) = 8*k**3 + 4 + 0 + 3 - 3*k**2 - 4*k + 1 - k**4. Let o(r) = r**3 + 1. Let x(u) = -4*o(u) + q(u). Factor x(w).
-(w - 2)**2*(w - 1)*(w + 1)
Let t be (4/6)/((-14)/(-63)). Let q(o) be the third derivative of t*o**2 + 0 + 0*o - 1/60*o**5 + 0*o**4 + 0*o**3 - 1/60*o**6 - 1/210*o**7. Factor q(v).
-v**2*(v + 1)**2
Let m(w) be the second derivative of -w**4/6 + w**3/3 - w**2/4 + 29*w. Factor m(y).
-(2*y - 1)**2/2
Factor -4/5 + 2/15*x**2 + 2/15*x.
2*(x - 2)*(x + 3)/15
Suppose 4*r + 3 = 23. Let q(i) be the second derivative of 0 + 0*i**3 + 1/20*i**r - 1/12*i**4 + 2*i + 0*i**2. Factor q(a).
a**2*(a - 1)
Let g(p) be the third derivative of 0 + 0*p**3 + 0*p - 1/420*p**8 + 1/300*p**6 + 1/60*p**4 + 3*p**2 - 1/50*p**5 + 1/175*p**7. Solve g(z) = 0.
-1, 0, 1/2, 1
Determine m so that m**4 + 7*m**3 + 5*m - 32*m**2 - 35*m**2 + 78*m**2 = 0.
-5, -1, 0
Let h(j) be the first derivative of 2*j**3 - 9*j**2/4 - 3*j/2 + 7. Solve h(n) = 0.
-1/4, 1
Let x(n) be the second derivative of -n**7/14 + 9*n**5/20 + n**4/2 + 2*n. Suppose x(k) = 0. What is k?
-1, 0, 2
Let s be ((-48)/30)/((-2)/5). Factor -4*z**3 + 3*z + 4*z**2 + 0*z + z - 2*z**4 - 2*z**s.
-4*z*(z - 1)*(z + 1)**2
Let l = 312 - 22153/71. Let u = l - -75/284. Factor -1/4*n - 1/4*n**2 + 0 + 1/4*n**3 + u*n**4.
n*(n - 1)*(n + 1)**2/4
Let t(d) be the second derivative of 0*d**2 - 1/70*d**6 + 3/70*d**5 + 1/28*d**4 - 1/7*d**3 + 5*d + 0. Factor t(a).
-3*a*(a - 2)*(a - 1)*(a + 1)/7
Factor 0*m + 0 - 5*m**4 + 0*m**2 + 5/2*m**5 + 5/2*m**3.
5*m**3*(m - 1)**2/2
Find y, given that 4/11*y**4 + 0*y + 0 - 2/11*y**5 + 0*y**3 + 0*y**2 = 0.
0, 2
Factor 0*f + 1/3*f**3 - 2/3*f**2 + 0.
f**2*(f - 2)/3
Let r = 577/5 - 97. Let q = r - 18. Factor 2/5*y**2 + 2/5*y**5 - q*y**4 + 0 + 0*y - 2/5*y**3.
2*y**2*(y - 1)**2*(y + 1)/5
Factor 8*m - 2 - 3 + 1 - 4*m**2 + 0*m**2.
-4*(m - 1)**2
Factor 2/11*z**3 - 2/11*z**5 + 0*z**2 + 0*z**4 + 0*z + 0.
-2*z**3*(z - 1)*(z + 1)/11
Let j(d) be the second derivative of 0*d**2 - 1/21*d**3 + d - 1/70*d**5 + 0 + 1/21*d**4. Suppose j(k) = 0. Calculate k.
0, 1
Let g = 973/12 - 81. Let x(n) be the third derivative of 0*n**3 - g*n**4 + 1/105*n**7 + 1/10*n**5 + 0*n - 1/20*n**6 + 0 + 2*n**2. Suppose x(z) = 0. What is z?
0, 1
Suppose 14 = 17*k - 13*k + 2*d, 3*d + 23 = 5*k. Factor 4/7*l**k + 2*l**5 + 0 + 0*l**2 + 0*l + 0*l**3.
2*l**4*(7*l + 2)/7
Let w(r) be the first derivative of 2*r**3/3 - 5*r**2 + 8*r - 24. Factor w(x).
2*(x - 4)*(x - 1)
Let s(p) = -5*p**4 + 4*p**3 - 7*p**2 - 4*p - 6. Let m(a) = -4*a**4 + 3*a**3 - 6*a**2 - 3*a - 5. Let f(d) = 6*m(d) - 5*s(d). Let f(c) = 0. Calculate c.
-1, 0, 1, 2
Factor 3*c**2 - 1/2 - 1/2*c**4 - 1/4*c + 3/4*c**5 - 5/2*c**3.
(c - 1)**3*(c + 2)*(3*c + 1)/4
Let f be (-3)/(-7)*(8/(-6) + 2). Factor 4/7*p**3 + 0 - f*p**2 + 0*p.
2*p**2*(2*p - 1)/7
Let i(c) be the third derivative of -c**7/490 + c**6/140 - c**5/140 + 9*c**2. Determine t, given that i(t) = 0.
0, 1
Let u be (1/2)/(2/16). Suppose 0 = 4*j - u*f - 20, -f = -5*j + 4 + 25. Find n, given that j*n**2 + 2 + 2*n + 2*n - 4*n**2 = 0.
-1
Let j = -92 - -94. Let b(r) be the second derivative of 0*r**2 - 1/6*r**3 - j*r + 1/8*r**4 + 0. Factor b(i).
i*(3*i - 2)/2
Let m(a) be the second derivative of 2*a**6/105 - a**5/70 - a**4/14 + a**3/21 + a**2/7 + 9*a. Let m(w) = 0. Calculate w.
-1, -1/2, 1
Let n(w) = w - 4. Let p be 0 + (5 - 4/4). Let m be n(p). Suppose m*g**3 + 0 + 0*g + 1/2*g**2 - 1/2*g**4 = 0. Calculate g.
-1, 0, 1
Let f(b) = -4*b**3 + 2*b**2 + 9. Let v(z) = z**3 - z**2 - 1. Let a(s) = f(s) + 5*v(s). Factor a(m).
(m - 2)**2*(m + 1)
What is n in -19*n**3 - 17*n**3 + 22*n**2 - 8*n + 22*n**2 = 0?
0, 2/9, 1
Let l(o) be the second derivative of o**6/600 + o**5/300 - o**4/120 - o**3/2 + 2*o. Let x(j) be the second derivative of l(j). Let x(h) = 0. What is h?
-1, 1/3
Suppose 0 = 4*u - 6 - 6. Let t(h) be the first derivative of -2/25*h**5 + 2 + 0*h + 0*h**4 + 2/15*h**u + 0*h**2. Suppose t(i) = 0. Calculate i.
-1, 0, 1
Let n(z) = -z**4 + 15*z**2 + 8*z + 3. Let q(x) = 12*x**4 - 164*x**2 - 88*x - 32. Let m(j) = -32*n(j) - 3*q(j). What is t in m(t) = 0?
-1, 0, 2
Solve 2/7 + 26/7*m**4 + 6/7*m**5 + 36/7*m**2 + 2*m + 44/7*m**3 = 0 for m.
-1, -1/3
Let n(m) be the second derivative of 7/120*m**6 - 4*m - 1/40*m**5 + 0 - 11/48*m**4 - 1/84*m**7 + 1/6*m**3 + 1/2*m**2. Determine j so that n(j) = 0.
-1, -1/2, 1, 2
Let f(m) = m + 12. Let d be f(-9). Factor 0*o**3 - 2*o**5 + 4*o**3 - 3*o**d - 3*o**4 + 4*o**5.
o**3*(o - 1)*(2*o - 1)
Let z(k) be the third derivative of k**8/224 - 3*k**7/280 + k**6/160 - 26*k**2. Factor z(w).
3*w**3*(w - 1)*(2*w - 1)/4
Let s(q) be the third derivative of q**5/60 + q**4/6 + q**3/2 + 7*q**2. Factor s(j).
(j + 1)*(j + 3)
Let q(w) be the second derivative of w**5/40 - w**4/12 - w**3/4 + 20*w. Factor q(y).
y*(y - 3)*(y + 1)/2
Let r(a) = a**4 + a**3 + 1. Let p(u) = -6*u**4 - 8*u**3 + 2*u**2 - 3. Let q(b) = 2*p(b) + 6*r(b). Find h, given that q(h) = 0.
-2, 0, 1/3
Let t be (-6 + (-330)/(-50))/(4/30). Find u such that -9/2*u**3 + t*u + 3/2*u**2 - 3/2 = 0.
-1, 1/3, 1
Find y, given that -2/13*y**4 + 6/13*y**3 - 6/13*y**2 + 0 + 2/13*y = 0.
0, 1
Let l(g) = g**2 + 1. Let c(v) = 3*v**2 - 3*v + 12. Let o(t) = -c(t) + 6*l(t). Factor o(h).
3*(h - 1)*(h + 2)
Let r = -95 - -667/7. Let k(z) = -z**2 + 27*z + 30. Let p be k(28). Factor 0 + r*l**p + 0*l.
2*l**2/7
Factor 2*s - 130*s**3 + 5*s**4 + 145*s**3 - 22*s.
5*s*(s - 1)*(s + 2)**2
Let v(g) be the third derivative of -g**5/210 + g**4/42 + 12*g**2. Let v(u) = 0. What is u?
0, 2
Let m(n) = 15*n + 77. Let y be m(-5). Determine q so that 0 + 0*q**y + 2/3*q**4 + 2/3*q**3 + 0*q = 0.
-1, 0
Let y = -144 + 723/5. Factor y*r**2 + 1/5*r**4 - 4/5*r**3 + 4/5*r - 4/5.
(r - 2)**2*(r - 1)*(r + 1)/5
Let n(j) be the third derivative of 3*j**2 + 1/150*j**5 + 1/15*j**3 + 0*j + 0 + 1/30*j**4. Factor n(d).
2*(d + 1)**2/5
Factor 22/5*l**3 + 0 + 24/5*l**2 + 0*l - 2/5*l**4.
-2*l**2*(l - 12)*(l + 1)/5
Let o be 24/(-20)*30/9. Let z = -2 - o. Factor -2/5 - 1/5*x**z - 3/5*x.
-(x + 1)*(x + 2)/5
Solve 0*p - 1/8*p**2 + 1/8 = 0 for p.
-1, 1
Let i be 6/(-15) + -4 + 25/5. Factor i*v**3 + 0 + v**2 + 2/5*v.
v*(v + 1)*(3*v + 2)/5
Let w be (-18 + 23)*3/5. What is x in -23*x**2 - 120 - 4*x**2 + w*x**3 + 39 + 81*x = 0?
3
Let v(s) be the second derivative of s**5/210 - s**4/28 + 2*s**3/21 - s**2/2 - s. Let o(a) be the first derivative of v(a). Determine l, given that o(l) = 0.
1, 2
Let q(p) be the first derivative of -2*p**3/39 - 3*p**2/13 + 8*p/13 - 24. What is o in q(o) = 0?
-4, 1
Let v(m) = m**3 + 10*m**2 - 11*m + 6. Let n be v(-11). Solve 6*b**4 + 0*b**4 - 3*b**4 + n*b**2 + 2*b**3 + 7*b**3 = 0 for b.
-2, -1, 0
Let k(r) be the third derivative of -r**6/480 + r**5/240 + r**4/48 + 8*r**2. Solve k(v) = 0.
-1, 0, 2
Let v(k) = -k. Let u be v(-2). Let w(i) = 4*i. Let g be w(1). Factor -g*f**2 + 2 + 2*f**4 + f**2 - f**u.
2*(f - 1)**2*(f + 1)**2
Let g(u) = u**2 + 1. Let c be g(1). Let t(a) = 2*a**2 - a**3 - 2*a**2 + a + a**c. Let k(b) = b**3 - b**2 - b - 1. Let w(s) = k(s) + 2*t(s). Factor w(v).
-(v - 1)**2*(v + 1)
Suppose -18*b**2 + 20*b**2 - 3*b + b = 0. Calculate b.
0, 1
Let d(y) = y + 2. Let n be d(3). Suppose 7 = 3*l + n*q, -2*l - 3*q - 15 = -5*l. Factor 0*s + 0*s**2 + 21/5*s**5 + 0 + 6/5*s**3 + 27/5*s**l.
3*s**3*(s + 1)*(7*s + 2)/5
Factor 25/6 - 3/2*s**2 - 1/6*s**3 - 5/2*s.
-(s - 1)*(s + 5)**2/6
Let j(d) be the first derivative of 4/3*d**3 - 2 + 0*d**4 - 2*d - 2/5*d**5 + 0*d**2. Factor j(r).
-2*(r - 1)**2*(r + 1)**2
Factor 55*u - 164*u + 13*u - 168*u - 363 - 48*u**2.
-3*(4*u + 11)**2
Let c = 326 - 3582/11. Suppose 2/11*z**3 + 0 + 2/11*z + c*z**2 = 0. Calculate z.
-1, 0
Let m(s) = 2*s**2 - 25*s - 27. Let x(l) = l**2 - 17*l - 18. Let y(q) = 5*m(q) - 7*x(q). Factor y(f).
3*(f - 3)*(f + 1)
Let l(m) be the first derivative of -1/21*m**3 - 1/42*m**4 + 2 + m + 0*m**2. Let c(o) be the first derivative of l(o). Factor c(x).
-2*x*(x + 1)/7
Find r such that -8/5*r + r**2 - 1/5*r**3 + 4/5 = 0.
1, 2
Let 