 first derivative of -3 + 12/5*p**5 + 4*p - 7*p**4 - 9*p**2 + 32/3*p**3 - 1/3*p**6. Factor u(c).
-2*(c - 2)*(c - 1)**4
Let u(o) = -8*o**2 - 100*o - 36. Let s(j) = -3*j**2 - 33*j - 12. Let a(p) = 16*s(p) - 5*u(p). Determine c, given that a(c) = 0.
-3, -1/2
Let c(t) = -3*t**3 - 15*t**2 - 15*t - 3. Let f(z) = -3*z**3 - 16*z**2 - 16*z - 3. Let d(u) = 7*c(u) - 6*f(u). What is l in d(l) = 0?
-1
Let q be 2 + (-112)/49 - 6/(-21). Suppose q*l**2 + 0*l**4 + 2/5*l**5 + 0 + 0*l - 2/5*l**3 = 0. Calculate l.
-1, 0, 1
Determine w so that -2/23*w + 0 - 2/23*w**2 = 0.
-1, 0
Let n = 373/16980 + -3/566. Let i(u) be the third derivative of 0*u**4 + 0*u**5 + 0*u**3 + n*u**6 + 3*u**2 + 0*u + 1/168*u**8 + 0 - 2/105*u**7. Factor i(x).
2*x**3*(x - 1)**2
Let o = 4 + -2. Suppose -4*b = -o*b. Factor -4/9*z**2 - 2/9*z**3 + b + 0*z.
-2*z**2*(z + 2)/9
Factor -6/5 - 2/5*w**2 - 8/5*w.
-2*(w + 1)*(w + 3)/5
Let q = -27 + 6. Let i be 36/q*18/(-27). Find j, given that -8/7*j + 2/7*j**2 + i = 0.
2
Factor 2/11*c**3 - 8/11*c + 16/11 - 4/11*c**2.
2*(c - 2)**2*(c + 2)/11
Factor -11*v**3 + 5*v**4 + 62*v**2 - 67*v**2 + 30*v - 19*v**3.
5*v*(v - 6)*(v - 1)*(v + 1)
Let w be 24/(-6) + (-326)/(-80). Let p(m) be the second derivative of -1/8*m**4 + 0 - 1/60*m**6 - m + 1/12*m**3 + 0*m**2 + w*m**5. Factor p(i).
-i*(i - 1)**3/2
Let o(n) = -15*n**3 + 24*n**2 - 2*n - 2. Let s(k) = -k + 1. Let y be s(-5). Let w(x) = -14*x**3 + 23*x**2 - x - 3. Let h(l) = y*w(l) - 5*o(l). Factor h(g).
-(g - 2)*(3*g - 2)*(3*g + 2)
Let y(f) be the second derivative of 0*f**4 + 1/300*f**5 + 1/900*f**6 + 3*f + 0*f**2 + 1/6*f**3 + 0. Let x(t) be the second derivative of y(t). Factor x(z).
2*z*(z + 1)/5
Determine a so that 0*a + 0 - 12*a**3 - 98/3*a**5 + 35*a**4 + 4/3*a**2 = 0.
0, 2/7, 1/2
Solve 2/11*f**2 + 8/11*f + 6/11 = 0 for f.
-3, -1
Factor 2/5*a**3 + 0 + 0*a + 12/5*a**2.
2*a**2*(a + 6)/5
Let a = 8 + -6. Let q(u) = -u + 7. Let o be q(3). Factor -a*h - 3*h**2 + 3*h**o - h**3 + 3*h**3 + 0*h**4.
h*(h - 1)*(h + 1)*(3*h + 2)
Let v(z) be the first derivative of -z**5/90 + z**4/27 - z**3/27 + 2*z + 8. Let u(f) be the first derivative of v(f). Let u(d) = 0. What is d?
0, 1
Suppose 0*g - 135 = -5*g. Let k = g - 80/3. Factor 0 + k*b - 2/3*b**2.
-b*(2*b - 1)/3
Suppose 0*v + 11 = v - 5*w, -3*v + 9 = -3*w. Suppose 3*k**2 + k**3 - v + k + 4*k**2 - 6*k**2 - 2*k = 0. What is k?
-1, 1
Suppose 4*u - 4 = 0, -3*b - 5*u = -36 - 23. Let q be (-2 - (-39)/b)*3. Factor 3/4*a + 1/4*a**2 + q.
(a + 1)*(a + 2)/4
Let y(m) = m**3 + m**2 + m - 1. Let b = 9 + -12. Let n(d) = -d**3 - 5*d**2 + d + 1. Let i(z) = b*n(z) - 6*y(z). Let i(h) = 0. What is h?
1
Let c(t) = -t**2. Let l(b) = 2*b**2 + 4*b - 9. Let y(d) = -3*c(d) + l(d). Let j(n) = 4*n**2 + 4*n - 8. Let a(x) = 7*j(x) - 6*y(x). Factor a(z).
-2*(z - 1)**2
Let a(w) be the third derivative of w**5/90 + w**4/216 + 36*w**2. Let a(s) = 0. What is s?
-1/6, 0
Find o such that 2*o**5 - 56*o**3 + 2*o**2 + 54*o**3 - 2 + 2 - 2*o**4 = 0.
-1, 0, 1
Let f be (3*-1)/((-15)/10). Factor 2*w**2 - 1 - 2*w + 4*w - 3*w**f.
-(w - 1)**2
Let t(w) be the first derivative of w**4 + 4*w**3/3 - 2. Factor t(c).
4*c**2*(c + 1)
Let s(k) be the first derivative of 4/11*k - 1/11*k**2 + 2 - 2/33*k**3. Determine p so that s(p) = 0.
-2, 1
Let j be (-10)/25 - 244/(-10). Let y be 6/(-15) + j/10. Factor m**y + m + 4*m + 4 - m.
(m + 2)**2
Let b = 119687417/69840930 - -3/273886. Let v = b - 4/85. Determine o so that -v*o**2 - 7/3*o - 2/3 = 0.
-1, -2/5
Let u(i) be the third derivative of 2*i**7/105 - 2*i**6/15 + 2*i**5/5 - 2*i**4/3 + 2*i**3/3 - 14*i**2. What is o in u(o) = 0?
1
Let i = 2/2383 - -4756/11915. Factor i*n + 0 + 2/5*n**2.
2*n*(n + 1)/5
Let -6*a**2 - 2/3*a**4 + 10/3*a**3 + 14/3*a - 4/3 = 0. What is a?
1, 2
Let d(w) be the second derivative of -3*w**5/80 - 5*w**4/8 - 4*w**3 - 12*w**2 - 5*w. Suppose d(x) = 0. What is x?
-4, -2
Suppose 4*r - 2*c = 2*c + 76, r - 4*c = 16. Suppose -16 = -3*j - 2*w, 2*w = -j - w + 17. Let -r*n + 1 - 3 - j - 25*n**2 = 0. What is n?
-2/5
Let c(p) be the second derivative of -1/18*p**5 + 8/9*p**2 + 0 - 1/9*p**4 + 4/27*p**3 - 1/135*p**6 + p. Determine o, given that c(o) = 0.
-2, 1
Suppose 15*j - 19*j = -20. Let x(u) be the second derivative of 1/126*u**7 + 0 + 0*u**2 - 1/18*u**3 + 1/45*u**6 + u + 0*u**j - 1/18*u**4. Factor x(a).
a*(a - 1)*(a + 1)**3/3
Let q be (-2)/(-2) - 1*-1. Let f(r) = r. Let i be f(2). Factor -2 - 2*y**4 - y**q - 2*y**2 + 7*y**i.
-2*(y - 1)**2*(y + 1)**2
Let a = -8 - -11. Suppose -4*u = -2*u - 4. Factor j**2 - 3*j**2 - a*j**u + 2 - 3*j.
-(j + 1)*(5*j - 2)
Let g be -2 + (0 - -4) + 0. Let l(h) be the first derivative of -1 - 6/5*h**5 - 16/3*h**3 - 9/2*h**2 - 1/6*h**6 - 7/2*h**4 - g*h. What is w in l(w) = 0?
-2, -1
Let w(g) = -39*g**2 + 48*g - 12. Let f(h) = h**2. Let t(p) = -18*f(p) - w(p). Determine j so that t(j) = 0.
2/7, 2
Let o(l) be the first derivative of l**5/5 + 7*l**4/12 - 2*l**2/3 + 1. Factor o(t).
t*(t + 1)*(t + 2)*(3*t - 2)/3
Let d = -20 + 23. Factor 10*b**5 + 7*b**5 - 2*b**d + 3*b**3 - 2*b**4 - 18*b**5 + 2*b**2.
-b**2*(b - 1)*(b + 1)*(b + 2)
Let o(v) be the third derivative of v**7/14 + v**6/20 - v**5/4 - v**4/4 - v**2. Determine a, given that o(a) = 0.
-1, -2/5, 0, 1
Let i(w) be the third derivative of w**6/30 - 4*w**5/15 + w**4/2 + 6*w**2. Determine j so that i(j) = 0.
0, 1, 3
Let m = 20 + -5. Solve 15 - m - 2*n**2 = 0 for n.
0
Let n(i) be the first derivative of -i**6/24 - 3*i**5/20 - i**4/8 + i**3/6 + 3*i**2/8 + i/4 + 9. Let n(z) = 0. What is z?
-1, 1
Let h(w) be the second derivative of 0*w**2 + 3*w + 3/50*w**5 + 1/75*w**6 + 0*w**3 + 1/15*w**4 + 0. Solve h(o) = 0.
-2, -1, 0
Factor -2/9*l**2 + 2/9*l**4 - 2/9*l**3 + 0 + 2/9*l.
2*l*(l - 1)**2*(l + 1)/9
Let p(x) = 2*x - 4. Let c be p(2). Let j(s) be the first derivative of -1/4*s**4 - 1/6*s**6 + 0*s**3 - 2/5*s**5 + c*s + 0*s**2 - 3. Find y, given that j(y) = 0.
-1, 0
Let u = 5 - 1. Suppose -m - u = -6. Suppose -4/3*g + 0*g**m + 2/3 - 2/3*g**4 + 4/3*g**3 = 0. What is g?
-1, 1
Let q(v) be the second derivative of v**5/240 - v**4/32 + v**3/12 - v**2/2 + v. Let u(p) be the first derivative of q(p). Determine w so that u(w) = 0.
1, 2
Let t(s) be the first derivative of 3*s**2/2 - 10*s - 14. Let o be t(4). Let 1/2 + 1/2*r - r**o = 0. What is r?
-1/2, 1
Suppose 5*h = -2*n - 20, -n - 5 + 9 = -h. Factor 0 + 2/5*l**2 + n*l + 2/5*l**3.
2*l**2*(l + 1)/5
Let w(b) = -b**5 - b**3 - b**2 - b - 1. Let t(o) = -30*o**5 + 9*o**4 + 12*o**3 - 3*o - 3. Let r(i) = t(i) - 3*w(i). Find g such that r(g) = 0.
-1/3, 0, 1
Suppose 20*v = 2*v + 72. Find l, given that -33*l**2 + 12*l**3 - 3/2*l**v - 27/2 + 36*l = 0.
1, 3
What is a in -3/5*a**5 + 0*a**2 - 3/5*a**4 + 0*a + 0 + 0*a**3 = 0?
-1, 0
Let a(g) be the third derivative of g**8/1008 + g**7/945 - 2*g**6/135 + 7*g**5/270 - g**4/72 + 20*g**2. Let a(l) = 0. What is l?
-3, 0, 1/3, 1
Suppose -3*f = 0, -3*f + 19 - 22 = -r. Solve -9/2*j**2 + r*j - 1/2 + 2*j**3 = 0.
1/4, 1
Let q(j) be the second derivative of -j**6/1800 + j**5/150 - j**4/30 - j**3/3 + 3*j. Let h(u) be the second derivative of q(u). Factor h(a).
-(a - 2)**2/5
Let s = 49/170 + -3/34. Factor 2/5*x**4 - 2/5*x**2 + 0 + s*x**5 - 1/5*x + 0*x**3.
x*(x - 1)*(x + 1)**3/5
Let j be (-318)/324 + (0 - -1). Let s(q) be the second derivative of j*q**4 + 0 + 2*q + 2/9*q**2 + 1/9*q**3. Find p such that s(p) = 0.
-2, -1
Suppose q + 21 - 25 = 0. Factor 8/5*s**2 + 16/5*s**q - 4*s**3 - 4/5*s**5 + 0*s + 0.
-4*s**2*(s - 2)*(s - 1)**2/5
Let k(p) be the first derivative of 0*p**2 + 1/6*p**3 + 3 + 0*p + 1/12*p**6 - 1/8*p**4 - 1/10*p**5. Factor k(v).
v**2*(v - 1)**2*(v + 1)/2
Factor 3/5*b**3 + 48/5 - 21/5*b**2 + 24/5*b.
3*(b - 4)**2*(b + 1)/5
Let t be ((-2 + 5)/18)/(18/6). Let j(d) be the second derivative of 1/6*d**2 + 0 + 1/6*d**3 + t*d**4 + 3*d. Let j(i) = 0. Calculate i.
-1, -1/2
Determine y, given that 69*y**3 + 16*y - 37*y**3 - 24 + 2*y**2 - 34*y**3 = 0.
-3, 2
Let d(z) be the first derivative of 2*z**3/33 - 5*z**2/11 - 36. Factor d(g).
2*g*(g - 5)/11
Let v(o) be the first derivative of -o**6/42 - 4*o**5/35 - 5*o**4/28 - 2*o**3/21 - 8. Solve v(l) = 0 for l.
-2, -1, 0
Let y(z) be the third derivative of z**8/120960 - z**6/4320 - z**5/30 - z**2. Let s(h) be the third derivative of y(h). Factor s(f).
(f - 1)*(f + 1)/6
Let u(p) be the second derivative of -3/2*p*