cond derivative of n(d). Suppose o(y) = 0. What is y?
-1
Let j(y) = y**5 - 3*y**4 - 17*y**3 + 19*y**2 + 5. Let s(l) = l**5 - 4*l**4 - 18*l**3 + 20*l**2 + l + 6. Let z(q) = 6*j(q) - 5*s(q). Solve z(r) = 0.
-5, 0, 1
Let b(l) = -5*l**5 - 25*l**4 - 40*l**3 - 20*l**2 - 4*l - 4. Let s(c) = -5*c**5 - 25*c**4 - 40*c**3 - 20*c**2 - 3*c - 3. Let d(f) = 3*b(f) - 4*s(f). Factor d(i).
5*i**2*(i + 1)*(i + 2)**2
Let i = -60 - -88. Let m be ((-21)/i)/(2/(-8)). Factor 3*v**3 - 6*v**2 + 9*v**3 - 3*v**3 - m*v.
3*v*(v - 1)*(3*v + 1)
Let c(l) be the first derivative of l**5/45 - l**4/12 + 2*l**3/27 + 30. Factor c(s).
s**2*(s - 2)*(s - 1)/9
Let s(t) be the third derivative of 2*t**7/105 - t**5/15 - 15*t**2. Solve s(a) = 0.
-1, 0, 1
Let w be 6/10 + (-7)/(-5). Suppose -16 = -5*r - 3*q, 4 = 4*q - w*q. Find b, given that b**r + 2*b**2 + b**3 - 4*b**2 = 0.
0, 1
Suppose -7 - 19 = -5*r - 2*j, -2*r - j = -11. Factor p**3 + p + p**4 + r*p**3 - p**2 - 6*p**3.
p*(p - 1)**2*(p + 1)
Let v(b) be the second derivative of -b**6/165 + b**5/55 - b**4/66 - 7*b. Factor v(l).
-2*l**2*(l - 1)**2/11
Suppose 3*a = 5*a - 42. Suppose -3*l = -9, 4*l - l - a = -3*b. Determine y, given that -2/7 + b*y**3 - 2/7*y + 6/7*y**5 + 12/7*y**2 + 22/7*y**4 = 0.
-1, 1/3
Suppose -4/5 - 3/5*o + 1/5*o**2 = 0. What is o?
-1, 4
Let g(c) be the second derivative of -1/4*c**4 + 0 - 4*c + 0*c**3 + 0*c**2 + 3/20*c**5. Factor g(b).
3*b**2*(b - 1)
Suppose -16 = 3*a - 2*a. Let p = -12 - a. Factor -40/9*u - p*u**2 - 14/9*u**3 - 2/9*u**4 - 16/9.
-2*(u + 1)*(u + 2)**3/9
Let w = -24 - -17. Let u = w - -7. Factor -4/3*s**2 + u - 2/3*s**3 - 2/3*s.
-2*s*(s + 1)**2/3
Find y, given that 1/3*y**4 + 1/3*y**3 + 2/3 - 1/3*y - y**2 = 0.
-2, -1, 1
Let r(g) be the third derivative of -g**7/13860 + g**6/990 - g**5/220 - g**4/6 + 10*g**2. Let l(o) be the second derivative of r(o). Factor l(z).
-2*(z - 3)*(z - 1)/11
Let z(u) be the first derivative of 2*u**5/65 + 10*u**4/13 + 100*u**3/13 + 500*u**2/13 + 1250*u/13 + 2. Solve z(s) = 0 for s.
-5
Let m(f) = -3*f + 25. Let p be m(11). Let k be (p/(-30))/((-48)/(-280)). Let 10/9*r**5 + 14/9*r**4 - k*r**2 - 2/3*r**3 - 4/9*r + 0 = 0. Calculate r.
-1, -2/5, 0, 1
Solve 0 + 0*x - 3/2*x**2 = 0 for x.
0
Let f(c) = 4*c**2 - 3*c + 3. Let l(o) = 4*o. Let u be l(1). Let r = -6 + u. Let i(p) = p**2 - p + 1. Let x(w) = r*f(w) + 6*i(w). Factor x(y).
-2*y**2
Let t = 2475607/7 + -354332. Let u = t - -675. Factor 0 + 2/7*o - u*o**2.
-2*o*(4*o - 1)/7
Suppose -3*x + 0*x = -12. Let a(m) be the second derivative of -1/10*m**5 + 2/3*m**3 - 1/4*m**x + 0 + 2*m**2 - 3*m + 1/30*m**6. Suppose a(w) = 0. Calculate w.
-1, 2
Let d(q) be the third derivative of q**7/420 - q**6/180 + q**3/2 - 3*q**2. Let m(a) be the first derivative of d(a). Factor m(w).
2*w**2*(w - 1)
Let o = -18 - -25. Suppose 1 - 2*d - 5*d**2 + o - 4 + 3*d**2 = 0. What is d?
-2, 1
Let j = 69 - 69. Factor 0*b - 3/5*b**2 + j.
-3*b**2/5
Let k(j) be the third derivative of -j**5/15 - 2*j**2. Let k(z) = 0. What is z?
0
Let h(v) be the second derivative of -5/2*v**2 + v**3 - 2*v + 0 + 1/6*v**4 - 1/30*v**5. Let p(i) be the first derivative of h(i). Factor p(x).
-2*(x - 3)*(x + 1)
Let v(w) = -w + 7. Let a be v(3). Factor 1 - 2*o**3 + o**a - o - 2*o**4 + 3*o.
-(o - 1)*(o + 1)**3
Let x(b) = 2*b**4 + 10*b**3 - 14*b**2 + 10*b. Let m(i) = -5*i**4 - 20*i**3 + 27*i**2 - 19*i - 1. Let o(y) = -4*m(y) - 9*x(y). Suppose o(j) = 0. What is j?
1, 2
Let p be -3 - ((-1)/4 - 3). Find f, given that p*f**2 - 1/4*f + 0 = 0.
0, 1
Find x, given that 48/5*x - 2/5*x**2 - 288/5 = 0.
12
Suppose 0 = -4*f - 5*z + 45, 0*f = -3*f - 2*z + 25. Suppose x + 27 = f*d - 10, 4*d = -2*x + 38. Factor -2*i**3 - 2*i - d*i**2 + 2*i**2 - 2*i.
-2*i*(i + 1)*(i + 2)
Let l be 104/780*(-54)/(-4). Suppose 12/5*h**2 + 0*h + 3/5*h**5 + 0 - l*h**4 + 0*h**3 = 0. Calculate h.
-1, 0, 2
Let k(o) = -o**5 + o**4 - o**3 - o - 1. Let d(n) = -4*n**4 + 2*n**3 + 4*n**2 - 8*n. Let z = 1 - 3. Let w(x) = z*k(x) + d(x). Factor w(t).
2*(t - 1)**4*(t + 1)
Let r(p) = 3*p - 1 + 4 + 1. Let o be r(-3). Let q(l) = 2*l**2 + 5*l - 5. Let u(w) = w**2 + 3*w - 3. Let j(g) = o*u(g) + 3*q(g). Let j(k) = 0. Calculate k.
0
Suppose 0 = m + 21*m. Let 0*g + 2/7*g**2 + m + 2/7*g**3 = 0. Calculate g.
-1, 0
Let r(k) = -k + 7. Let p be r(7). Factor p*i + 2/3*i**5 + 0 + 2/3*i**2 + 2*i**3 + 2*i**4.
2*i**2*(i + 1)**3/3
Factor 3/4*f + 0 - 9/4*f**2.
-3*f*(3*f - 1)/4
Let f = 6/11 - 20/77. Let n = -90 - -632/7. Factor f*c**2 - n*c**3 + 0 - 2/7*c**4 + 0*c + 2/7*c**5.
2*c**2*(c - 1)**2*(c + 1)/7
Let y(a) = -3*a**2 - 2*a + 5. Let f(k) = 2 + 0*k + k**2 - k - 3*k**2 + k**2. Let r(i) = -5*f(i) + 2*y(i). What is x in r(x) = 0?
0, 1
Let t = -553/5 - -111. Let r = 5 - 3. Determine q, given that -t*q**r + 2/5*q + 4/5 = 0.
-1, 2
Let f be 6*(-2)/2 + 6. Solve f*d**2 + 2/7*d**3 - 2/7*d + 0 = 0 for d.
-1, 0, 1
Let a = 16 - 7. Let p be (2*-1)/((-6)/a). Suppose 4*y**2 + 4*y**p - 4*y**2 - 3*y**3 - y = 0. Calculate y.
-1, 0, 1
Let f(j) be the third derivative of j**7/6300 - j**6/1800 - j**4/4 + j**2. Let l(c) be the second derivative of f(c). Factor l(z).
2*z*(z - 1)/5
Let i(y) be the third derivative of -y**9/40320 - y**8/13440 + y**5/12 + 9*y**2. Let s(r) be the third derivative of i(r). Solve s(u) = 0.
-1, 0
Let i(k) be the second derivative of -k**5/5 + 10*k**4 - 150*k**3 - 19*k - 2. Suppose i(z) = 0. What is z?
0, 15
Suppose o - 3*o = 0. Factor 0 + 0*z**4 + o*z**2 + 0*z - 3/5*z**3 + 3/5*z**5.
3*z**3*(z - 1)*(z + 1)/5
Factor 4/3*w + 1/3*w**2 + 1.
(w + 1)*(w + 3)/3
Let q(g) be the second derivative of g**9/60480 - g**8/6720 + g**7/2016 - g**6/1440 + 5*g**4/12 + 4*g. Let f(k) be the third derivative of q(k). Factor f(o).
o*(o - 2)*(o - 1)**2/4
Suppose -2*g - 2*g - 28 = 0. Let l(d) = d**2 + 8*d + 10. Let c be l(g). Let 4/3*r**4 + 0 - 2/3*r**c - 2/3*r**5 + 0*r + 0*r**2 = 0. Calculate r.
0, 1
Suppose 0 = 3*v - 23 + 92. Let c be 5/(-25) + v/(-15). Factor 2/3*a**3 - c*a**2 + 2/3*a + 0.
2*a*(a - 1)**2/3
Let s(t) = -15*t**4 - 135*t**3 - 350*t**2 + 480*t + 5. Let m(f) = 7*f**4 + 67*f**3 + 175*f**2 - 241*f - 2. Let i(l) = 5*m(l) + 2*s(l). Factor i(a).
5*a*(a - 1)*(a + 7)**2
Solve 2 - 11/5*s + 1/5*s**2 = 0.
1, 10
Let w(a) be the third derivative of -a**6/120 - a**5/30 + a**4/24 + a**3/3 + 5*a**2. Factor w(u).
-(u - 1)*(u + 1)*(u + 2)
Suppose 5*u = 10*u. Let c(h) be the second derivative of 2/9*h**3 - 2/3*h**2 - h + u - 1/36*h**4. Factor c(v).
-(v - 2)**2/3
Suppose 4*m = 3*j, 0 = -5*j + 7*m - 2*m. Factor -1/3*t**3 - 1/3*t**4 + 1/3*t + j + 1/3*t**2.
-t*(t - 1)*(t + 1)**2/3
Let x(f) be the second derivative of f**6/90 - 2*f**5/15 + 2*f**4/3 - 5*f**3/6 - 6*f. Let i(r) be the second derivative of x(r). Factor i(t).
4*(t - 2)**2
Let k(q) be the first derivative of 8/5*q - 2/5*q**2 - 2/15*q**3 + 1/20*q**4 - 2. Suppose k(p) = 0. Calculate p.
-2, 2
Let g(u) be the first derivative of -4*u**3/9 - 16*u**2/3 - 64*u/3 - 5. Factor g(c).
-4*(c + 4)**2/3
Let q be (0 - 0) + 6 + -6. Suppose -2*y + 1 = -l + 2*l, -l + 4 = 3*y. Let q - 1/2*o**2 + 0*o - 1/2*o**y = 0. What is o?
-1, 0
Solve -6*z**2 + 20*z**5 - 3*z**2 + 36*z**3 + 0*z**2 + z**2 - 48*z**4 = 0.
0, 2/5, 1
Determine u so that u**3 + 29/7*u + 6/7 + 30/7*u**2 = 0.
-3, -1, -2/7
Let q(b) be the third derivative of b**7/420 - b**5/120 - 5*b**2. Factor q(c).
c**2*(c - 1)*(c + 1)/2
Let n(j) = 3*j**5 + 20*j**4 + 15*j**3 - 2*j**2 - 12*j - 4. Let v(b) = -b**4 - b**2 + b + 1. Let m(o) = -n(o) - 4*v(o). Determine a so that m(a) = 0.
-4, -1, 0, 2/3
Let h be (1/(-2))/(9/(-36)). Solve -12*m - h*m**2 - 5 - 7 - 9 + 3 = 0.
-3
Determine z, given that -2/7*z**2 + 8/7*z - 6/7 = 0.
1, 3
Factor 0*o**4 - 1/3*o**5 + 0 + 2/3*o**3 + 0*o**2 - 1/3*o.
-o*(o - 1)**2*(o + 1)**2/3
Find b, given that 1/3*b**4 + 0*b**2 + 0*b - 1/3*b**3 + 0 = 0.
0, 1
Let i(n) be the first derivative of -3*n**5/5 + n**3 + 9. Let i(w) = 0. Calculate w.
-1, 0, 1
Suppose -p = -2*m + 3*p, 0 = m - p - 1. Factor -3*j**2 + 1 + 2*j**m + 2 - 2.
-(j - 1)*(j + 1)
Let r(k) be the third derivative of -1/6*k**3 + 1/48*k**6 - 5/48*k**4 + 1/60*k**5 + 0*k + 5*k**2 + 0. Factor r(u).
(u - 1)*(u + 1)*(5*u + 2)/2
Let z(u) be the second derivative of -u**7/147 - u**6/105 + 3*u**5/35 + u**4/3 + 11*u**3/21 + 3*u**2/7 + 9*u. Factor z(o).
-2*(o - 3)*(o + 1)**4/7
Let w(b) be the first derivative of -b**6/480 + b**5/240