+ 0*y**4 - 8*y**4 + y + 7*y**4 = 0.
0, 1
Let s(n) = n**3 + n - 1. Let d(m) = -3*m**3 + 6*m**2 + 9*m - 6. Let o(f) = -f**2 + f + 1. Let b be o(2). Let i(u) = b*d(u) + 6*s(u). Find a such that i(a) = 0.
-1/3, 0, 1
Let b(d) be the second derivative of 0*d**5 + d + 0*d**3 + 0 + 1/4*d**4 + 0*d**2 - 1/10*d**6. What is t in b(t) = 0?
-1, 0, 1
Let j(k) be the second derivative of -2*k**6/75 + 2*k**4/5 - 16*k**3/15 + 6*k**2/5 + 5*k. Determine w, given that j(w) = 0.
-3, 1
Let h(y) be the second derivative of y**6/3 + 11*y**5/5 + 14*y**4/3 + 8*y**3/3 + 6*y. Factor h(b).
2*b*(b + 2)**2*(5*b + 2)
Let v(w) be the second derivative of -2*w - 1/14*w**7 + 0 - 1/2*w**4 + 9/20*w**5 + 0*w**3 + 0*w**6 + 0*w**2. Factor v(o).
-3*o**2*(o - 1)**2*(o + 2)
Suppose 3*p = 2*p + 4. Determine i, given that -48*i - 8 - i**2 + 123*i**3 - 75*i**5 - 2*i**2 + 15*i**p - 4 = 0.
-1, -2/5, 1
Let g(f) be the third derivative of f**7/70 - f**6/8 + 2*f**5/5 - f**4/2 - f**2. Solve g(j) = 0 for j.
0, 1, 2
Let h be 9/2 + 1/2. Factor 7*q**2 + 13*q**2 - 6*q**3 - 6*q - 3*q**3 - h*q**2.
-3*q*(q - 1)*(3*q - 2)
Suppose 0*r - 10 = 2*r. Let d be (-4)/r*(-10)/(-4). Factor -2 - 4*h - 1 + 0 + d*h**2 + 5.
2*(h - 1)**2
Suppose -h = -3*h + 20. Let q = h + -10. Solve 0*v**2 - 1/4*v**3 + 1/4*v + q = 0 for v.
-1, 0, 1
Let w(r) = -5*r**5 - 7*r**3 - 6*r - 6. Let q(j) = 6*j**5 + 8*j**3 + 7*j + 7. Let u = -61 - -38. Let x = u - -16. Let v(l) = x*w(l) - 6*q(l). Factor v(o).
-o**3*(o - 1)*(o + 1)
Let q = -16 - -25. Let o = -6 + q. Factor 4*s**3 + 3*s**3 + 2 - s**4 - o*s - s**2 - 4*s**3.
-(s - 2)*(s - 1)**2*(s + 1)
Let u(a) be the first derivative of -5*a**3/27 - 43*a**2/18 + 2*a - 26. Solve u(v) = 0 for v.
-9, 2/5
Let t(k) be the third derivative of -2*k**8/105 - 8*k**7/175 + k**6/20 - k**5/75 - 16*k**2. Factor t(p).
-2*p**2*(p + 2)*(4*p - 1)**2/5
Suppose 5*z + 2*i = -3*i + 25, -2*z + 4*i = 2. Factor 0 + 1/2*x**z + 1/2*x + x**2.
x*(x + 1)**2/2
Factor 0 + 2/7*b - 2/7*b**2.
-2*b*(b - 1)/7
Let r be (5/3)/(2/6). Factor -31*y**4 + 5*y + 10*y**3 + 2*y**r - 1 - 10*y**2 + 2*y**5 - 3*y**5 + 26*y**4.
(y - 1)**5
Let a(z) = -z**5 + z**3 + z - 1. Let b(y) = 9*y**5 + 12*y**4 + 5*y**3 + 2*y**2 - 4*y + 4. Let n(h) = 20*a(h) + 5*b(h). Determine r, given that n(r) = 0.
-1, -2/5, 0
Factor -4*q - 9*q + q - 4*q**3 + 12*q**2 + 4.
-4*(q - 1)**3
Let c = 193/5 + -38. Let x(m) be the first derivative of 1/10*m**6 + 3/2*m**2 + 3/2*m**4 + 3/5*m**5 - 3 + c*m + 2*m**3. Solve x(h) = 0 for h.
-1
Determine c so that 0*c**4 + 2*c**3 + c**4 - 15*c**2 + 15*c**2 = 0.
-2, 0
Let p(k) be the first derivative of 1/6*k**3 - 1/10*k**5 + 0*k - 1/8*k**2 + 1/24*k**6 - 2 + 0*k**4. Solve p(j) = 0 for j.
-1, 0, 1
Suppose -4*w + 18 = 3*x - 5, 2*x - 20 = -5*w. Determine h so that -2/9*h**w + 2/9*h**4 + 0*h + 0 + 0*h**3 = 0.
-1, 0, 1
Suppose i - 4 = r, -i + 11 + 1 = -3*r. Let j be -8*-3*r/(-24). Solve -9/5*k**3 + 9/5*k - 6/5 + 3/5*k**2 + 3/5*k**j = 0.
-1, 1, 2
Suppose 0 = 4*p + 8 - 48. Let z be ((-2)/3)/(p/(-45)). Factor 3*y**2 - y**2 + 2*y**z - 4*y**3.
-2*y**2*(y - 1)
Factor -4/5*d + 1/5*d**2 + 4/5.
(d - 2)**2/5
Determine r so that 3*r**3 + 8*r**2 - 3*r - 3*r**4 + 6*r**2 - 11*r**2 = 0.
-1, 0, 1
Let p(g) = g**2 + g + 4. Let u be p(-4). Let o = u - 16. Solve 0*b**2 + 0*b**3 + 0 + 2/7*b**4 + o*b = 0.
0
Let q(s) be the third derivative of s**6/780 + s**5/390 - s**4/156 - s**3/39 - 3*s**2. Suppose q(f) = 0. What is f?
-1, 1
Let c(p) = -2*p**3 - p**2 + 5*p + 2. Let o be c(-2). Factor 2/7*j**o - 2/7*j**5 - 4/7*j**2 - 2/7*j + 4/7*j**3 + 2/7.
-2*(j - 1)**3*(j + 1)**2/7
Let v be -7 - (93/(-9) - -3). Factor 1/3*u + v*u**2 - 2/3.
(u - 1)*(u + 2)/3
Let g(a) = -6*a**2 - 2*a + 3. Let s be ((-20)/(-6))/(8/(-12)). Let d(z) = -7*z**2 - 3*z + 4. Let l(i) = s*d(i) + 6*g(i). Let l(u) = 0. Calculate u.
1, 2
Let n(x) be the first derivative of -x**7/105 - x**6/15 - 2*x**5/15 - x**2 + 1. Let r(p) be the second derivative of n(p). Factor r(j).
-2*j**2*(j + 2)**2
Let y = 930 - 1811. Let p = 9725/11 + y. Factor p*h**4 - 42/11*h**3 - 4/11*h + 2*h**2 - 10/11*h**5 + 0.
-2*h*(h - 1)**3*(5*h - 2)/11
Let b = 901 + -54059/60. Let q(d) be the second derivative of -3/40*d**5 - 3*d + 1/12*d**4 + 0 + b*d**6 + 0*d**2 + 0*d**3. Factor q(u).
u**2*(u - 2)*(u - 1)/2
Let t(b) be the third derivative of -b**8/50400 - b**7/6300 - b**6/1800 + b**5/20 - 2*b**2. Let l(r) be the third derivative of t(r). Factor l(c).
-2*(c + 1)**2/5
Let w(l) be the second derivative of -3*l**5/20 + l**4 - 3*l**3/2 + 33*l. Let w(f) = 0. Calculate f.
0, 1, 3
Let q(a) be the second derivative of 7*a**4/3 - 32*a**3/3 + 8*a**2 - 14*a. Factor q(y).
4*(y - 2)*(7*y - 2)
Let n(r) be the second derivative of r**7/21 - 4*r**6/15 + 3*r**5/10 + 2*r**4/3 - 4*r**3/3 - 6*r. Solve n(k) = 0.
-1, 0, 1, 2
Let s(o) be the second derivative of 0*o**2 + 0 - 4*o + 1/90*o**5 - 1/54*o**4 + 0*o**3. Solve s(l) = 0.
0, 1
Factor 9/5*m**2 - 3/5*m**4 + 6/5 - 3/5*m**3 + 3*m.
-3*(m - 2)*(m + 1)**3/5
Let n = 684 + -682. Factor -1/4*p**n - 1/4*p**3 + 1/2*p + 0.
-p*(p - 1)*(p + 2)/4
Factor -2/11*b + 12/11 - 2/11*b**2.
-2*(b - 2)*(b + 3)/11
Let l(k) be the first derivative of k**5/10 + 3*k**4/8 + k**3/6 - 3*k**2/4 - k - 17. Let l(x) = 0. Calculate x.
-2, -1, 1
Let v(a) be the second derivative of -a**7/98 - a**6/70 + 3*a**5/70 + 36*a. Factor v(j).
-3*j**3*(j - 1)*(j + 2)/7
Suppose -3*l + 8 = l + m, 3*m = 12. Let a(g) = 0*g**2 - 3*g**2 + 33*g - 39*g. Let p(x) = x. Let b(v) = l*a(v) + 4*p(v). Factor b(t).
-t*(3*t + 2)
Let o(a) be the third derivative of a**6/200 - 11*a**5/300 + a**4/10 - 2*a**3/15 - 3*a**2. Factor o(v).
(v - 2)*(v - 1)*(3*v - 2)/5
Let w(b) be the second derivative of -b**7/42 - 2*b**6/15 + b**5/10 + b**4 - 3*b**3/2 + 11*b. Factor w(l).
-l*(l - 1)**2*(l + 3)**2
Let t(d) = 2*d + 4. Let n be t(4). Let o = 12 + -8. Solve -v**3 + n*v**o + 0*v**3 - 2*v**2 - 2*v**4 = 0.
-2/5, 0, 1/2
Let r(a) be the third derivative of a**6/120 - a**4/8 - a**3/3 + 31*a**2. What is c in r(c) = 0?
-1, 2
Let p = 33 + -30. Factor 2/5*o**3 - p*o**5 + 1/5*o**4 + 0*o + 0*o**2 + 0.
-o**3*(3*o + 1)*(5*o - 2)/5
Let y(b) = -b + 2. Let x be y(0). Suppose -4*r + 8*r = 12. Factor -2/9*j + 0*j**x + 2/9*j**r + 0.
2*j*(j - 1)*(j + 1)/9
Suppose 0 = -3*u - u + 12. Suppose -4*g - 3 + 12*g**2 + u*g**5 - 6*g**3 + 4*g + 3*g**5 - 9*g**4 = 0. Calculate g.
-1, -1/2, 1
Let w = 1465/2 + -731. Find i such that 0*i - w*i**4 - 3*i**2 - 9/2*i**3 + 0 = 0.
-2, -1, 0
Let y be ((-68)/(-14))/(35/(-63)). Let a = y - -48/5. Factor 4/7 + 2/7*w**4 + 2/7*w**3 - 2/7*w - a*w**2.
2*(w - 1)**2*(w + 1)*(w + 2)/7
Let t(k) be the second derivative of -k**6/345 + k**5/115 - k**4/138 - 5*k. Factor t(d).
-2*d**2*(d - 1)**2/23
Suppose -2*s + 6 = -0*s. Let -4*r**2 - 5*r + 3*r**3 + 7*r - r**s + 0*r**3 = 0. What is r?
0, 1
Find i, given that 2/11*i**5 + 0 + 2/11*i**3 + 4/11*i**4 + 0*i + 0*i**2 = 0.
-1, 0
Let r(c) = -30*c**4 + 10*c**3 + 40*c**2 - 5*c - 5. Let z(j) = 31*j**4 - 10*j**3 - 39*j**2 + 6*j + 4. Let q(p) = -4*r(p) - 5*z(p). Factor q(t).
-5*t*(t - 1)*(t + 1)*(7*t - 2)
Let f(v) be the first derivative of 3*v**5/5 + 3*v**4/2 + v**3 - 3. Factor f(z).
3*z**2*(z + 1)**2
Suppose -3*h = -2*h - 16. Suppose 4*k - h = 3*s - 0*k, 2*s - k = -4. Factor -2/11*v**3 + 0*v + 0*v**2 + s - 8/11*v**4.
-2*v**3*(4*v + 1)/11
Let b be (4 - 2) + 8/(-6). Let h = -2/19 - -82/57. Factor b*t**2 + 2/3 - h*t.
2*(t - 1)**2/3
Let i(v) = -5*v**4 - 3*v**3 + 3*v**2 + 4*v - 3. Let h(b) = -9*b**4 - 5*b**3 + 7*b**2 + 8*b - 5. Let j(m) = -6*h(m) + 10*i(m). What is s in j(s) = 0?
-1, 0, 2
Let n(t) be the second derivative of -t**4/6 + 4*t**3 - 36*t**2 + 4*t. Suppose n(f) = 0. What is f?
6
Let y(j) be the first derivative of -3*j**5/5 + 3*j**4/2 - j**3 + 4. Factor y(d).
-3*d**2*(d - 1)**2
Suppose 2*h - 5*h = 21. Let p be (-2)/h*49/63. Let p - 4/9*i**2 + 0*i + 2/9*i**4 + 0*i**3 = 0. Calculate i.
-1, 1
Let m(s) be the second derivative of -5*s**4/12 + 25*s**3/3 - 125*s**2/2 + 7*s. Factor m(i).
-5*(i - 5)**2
Suppose -2*c + 8/5 + 2/5*c**2 = 0. What is c?
1, 4
Let s(r) = -r**2 + 3*r + 7. Let x be s(4). Let c(v) be the first derivative of -1/3*v**x + v - 1/4*v**4 - 1 + 1/2*v**2. Factor c(g).
-(g - 1)*(g + 1)**2
Factor -3/4*l**4 + 9/4*l**3 - 9/4*l**2 + 3/4*l + 0.
-3*l*(l - 1)**3/4
Let i(w) = w**3 + 6*w**2 - 5*w + 6. Let y be i(-7). Let a = 11 + y. Factor 6/5*u + 0