the second derivative of -w**7/252 + w**6/45 - w**5/20 + w**4/18 - w**3/36 - 3*w. Factor y(k).
-k*(k - 1)**4/6
Let k(r) be the first derivative of -1/2*r**2 + 1/3*r**3 + 0*r - 6 - 1/16*r**4. Factor k(z).
-z*(z - 2)**2/4
Let n be 3/(6/(-4)) + (-2304)/(-540). Let q = n - 8/5. Let 0 + 0*b - q*b**2 + 2*b**3 = 0. What is b?
0, 1/3
Let -8*w**2 - 11*w**2 - 400*w - 13*w**2 - 10000 + 38*w**2 - 10*w**2 = 0. Calculate w.
-50
Let v(h) = -2*h + 12. Let f be v(5). Find j such that -48 - 23*j + 18*j**2 - 13*j**f + 8*j - 2 = 0.
-2, 5
Let d(i) be the second derivative of -27*i**6/10 - 171*i**5/5 - 361*i**4/3 - 16*i. Solve d(f) = 0 for f.
-38/9, 0
Let t(p) be the first derivative of -25*p**6/18 - 5*p**5/6 - 5*p**4/24 - 5*p**3 + 5. Let f(d) be the third derivative of t(d). Solve f(k) = 0.
-1/10
Let w(m) be the third derivative of -1/30*m**6 - 8/735*m**7 + 1/42*m**4 + 0*m - 2/105*m**5 - 24*m**2 + 0*m**3 + 0. Suppose w(l) = 0. What is l?
-1, 0, 1/4
Suppose 45*t - 41*t - 3*b = 8, -5*b = 3*t - 6. Factor 1/7*c**t - 8/7*c + 1.
(c - 7)*(c - 1)/7
Let v(u) be the third derivative of u**5/140 - 9*u**4/56 + 79*u**2 + u. Determine n, given that v(n) = 0.
0, 9
Let b(l) = l**2 - 2*l + 5. Let m(k) be the third derivative of -k**5/30 + k**4/12 - k**3 - 19*k**2. Let y(x) = 3*b(x) + 2*m(x). Solve y(o) = 0.
-3, 1
Suppose 5*t - 70 = -2*o, 6*t = 7*t + 4*o - 14. Factor -38*k**2 + 24 - 7*k + 3*k + 4*k**3 + t*k**2.
4*(k - 6)*(k - 1)*(k + 1)
Suppose 63*w - 61*w = 4. Solve 4*f - f**3 - f + f**w - 4*f + f**2 = 0 for f.
0, 1
Let x(h) be the first derivative of h**6/20 - 3*h**5/20 + h**3/2 - 3*h**2/4 - 6*h - 11. Let c(g) be the first derivative of x(g). Factor c(a).
3*(a - 1)**3*(a + 1)/2
Let v be (-92)/(-20) + (-50)/(-125). Let m(i) be the second derivative of 1/10*i**3 - i + 0*i**2 + 9/100*i**v + 0 - 1/5*i**4. Factor m(f).
3*f*(f - 1)*(3*f - 1)/5
Let t be 81/36 + (-1)/4 + 0. Let u be t/16*(-24)/(-9). Factor -2/3*b**4 + 0*b**3 - u*b**5 + 1/3*b + 0 + 2/3*b**2.
-b*(b - 1)*(b + 1)**3/3
Let p be -12*(11/4 + -3). Let o(w) be the first derivative of -92*w**4 + 83*w**4 - 20*w**3 - 48*w + p + 64*w**2 + 0. Factor o(t).
-4*(t + 3)*(3*t - 2)**2
Find k such that -6*k**2 + 4*k**4 + 0*k**2 - 589003*k**3 + 588998*k**3 = 0.
-3/4, 0, 2
Let u be (10/2)/(850/60). Factor 0 + 4/17*l + 16/17*l**3 + 14/17*l**2 + u*l**4.
2*l*(l + 1)**2*(3*l + 2)/17
Let m(g) be the first derivative of -3*g**5/20 - g**4/2 + 7*g**3/2 - 6*g**2 - g - 1. Let s(w) be the first derivative of m(w). Let s(n) = 0. What is n?
-4, 1
Let t be (2 - 0)/(-4)*0. Let r be t + 0 + 2 - -1. Factor -r*x**3 + 5*x**4 + 3*x + 3*x**2 - 3*x**4 + 0*x**4 - 5*x**4.
-3*x*(x - 1)*(x + 1)**2
Let u(f) = f**4 + 2*f**3 - 2*f**2 - 2*f + 1. Let o(t) = t**4 - t**2. Suppose 5 = -5*a + 6*a. Let q be (-2)/a + 68/20. Let w(x) = q*u(x) - 6*o(x). Factor w(p).
-3*(p - 1)**3*(p + 1)
Let a(o) = -o**2 + o + 3. Let s(p) = 6*p**2 + 9*p + 33. Let j(k) = -15*a(k) - 3*s(k). Let j(u) = 0. Calculate u.
-8, -6
Find t, given that 99/2*t + 71*t**2 - 121/2 - 1/2*t**5 - 49*t**3 - 21/2*t**4 = 0.
-11, -1, 1
Let c(d) be the first derivative of d**3/4 - 105*d**2/8 - 27*d - 369. Solve c(s) = 0 for s.
-1, 36
Suppose -y = -3*y + 16. Let d be (y/2 - 1) + -3. Factor 3*t**2 + d*t**2 - 8 - 4.
3*(t - 2)*(t + 2)
Let b = -41 + 43. Suppose -v**3 + 3*v**4 - 35*v**2 - 4*v**4 + 36*v**b + v = 0. Calculate v.
-1, 0, 1
Let n(r) = r**4 + 32*r**3 + 53*r**2 + 26*r - 2. Let k(f) = -4*f**4 - 161*f**3 - 266*f**2 - 131*f + 11. Let s(w) = 2*k(w) + 11*n(w). Solve s(o) = 0.
-8, -1, 0
Suppose b + 3 = 0, -2*i - 3*b + 0*b = 3. Suppose -5*z = -i*n + 12, -n + 8 = n + z. Let 1/2*f**n + 0*f - 2*f**2 - 1/2*f**5 + 0 + 2*f**3 = 0. Calculate f.
-2, 0, 1, 2
Let z = 108 - 105. Let u(w) be the first derivative of w**z - 3/10*w**5 + 0*w**2 - 12 + 0*w + 3/8*w**4. Factor u(v).
-3*v**2*(v - 2)*(v + 1)/2
Let w(y) be the first derivative of -2*y**5/35 - 3*y**4/14 + 2*y**3/21 + 3*y**2/7 - 191. Factor w(m).
-2*m*(m - 1)*(m + 1)*(m + 3)/7
Factor 137*o**3 + 4*o**4 + 7844*o**2 + 4846*o**2 + 150*o**3 + 81*o**3 - 4226*o**2.
4*o**2*(o + 46)**2
Let x(u) be the first derivative of 1/8*u**6 + 0*u - 9/8*u**2 - 9/8*u**4 + 0*u**5 - 19 - 2*u**3. Let x(t) = 0. What is t?
-1, 0, 3
Let c(o) = -o**5 - o**3 + 2*o**2 - 2*o - 1. Let s(v) = 4*v**5 + 8*v**4 + 10*v**3 - 8*v**2 - 6*v - 2. Let n(z) = -2*c(z) - s(z). Factor n(p).
-2*(p - 1)*(p + 1)**3*(p + 2)
Let r be (-26)/(-18) - (2 + -1). Suppose z + 10 = 5*y + 7, 3*z + 9 = 5*y. Determine i, given that y - 2/9*i**5 + r*i**2 - 4/9*i**4 + 0*i**3 + 2/9*i = 0.
-1, 0, 1
Let b(i) be the first derivative of 5*i**6/6 - 6*i**5 - 5*i**4/4 + 10*i**3 - 5. Determine r, given that b(r) = 0.
-1, 0, 1, 6
Let v(h) = h**2 - 11*h - 6. Let t(j) = -8*j - 2*j + 13*j - 4*j. Let p(i) = 6*t(i) - v(i). Solve p(f) = 0 for f.
-1, 6
Determine z, given that -4/3*z + 14/15*z**4 + 0 + 6/5*z**3 + 2/15*z**5 - 14/15*z**2 = 0.
-5, -2, -1, 0, 1
Let x(l) be the third derivative of 0*l + 1/60*l**5 + 0 + 1/120*l**6 - 1/12*l**4 + 9*l**2 + 0*l**3. Factor x(d).
d*(d - 1)*(d + 2)
Let w(h) be the third derivative of h**7/5460 + 4*h**3/3 - 20*h**2. Let o(l) be the first derivative of w(l). Factor o(r).
2*r**3/13
Let z(k) be the first derivative of 0*k + 2/27*k**3 + 9 + 0*k**2. Factor z(r).
2*r**2/9
Let p be (3/(-2))/(1/4). Let r = 8 + p. Factor 2*n - n**4 - 4*n**r + 2*n**5 + 5*n**4 - 4*n.
2*n*(n - 1)*(n + 1)**3
Let h(n) be the third derivative of n**6/40 - n**5/20 - n**4/2 + 2*n**3 + 2*n**2 - 12*n. Let h(t) = 0. Calculate t.
-2, 1, 2
Let i(y) be the first derivative of 0*y**2 + 3 + 0*y**3 + y**5 + 0*y + 5/4*y**4. Determine b, given that i(b) = 0.
-1, 0
Suppose 0 = -5*c - 5, 0*v + 2*c = -v. Suppose 5*l + 0*t + 2*t = 25, -5*l = -3*t. Suppose 3*r**l + r**4 - v*r**2 - r**4 - r**4 = 0. Calculate r.
0, 1, 2
Let j(h) be the second derivative of 3*h**5/5 + 8*h**4/3 - 10*h**3 + 8*h**2 + h + 71. Factor j(n).
4*(n - 1)*(n + 4)*(3*n - 1)
Let c(m) = -7*m**2 - 300*m - 4502. Let i(p) = 15*p**2 + 600*p + 9005. Let f(r) = -5*c(r) - 2*i(r). Factor f(t).
5*(t + 30)**2
Factor -13432/9*d - 2/9*d**5 - 7468/9*d**2 - 104/9*d**4 - 8464/9 - 1634/9*d**3.
-2*(d + 2)**3*(d + 23)**2/9
Let j = 3013 + -15062/5. Factor j*v**2 + 12/5 - 12/5*v.
3*(v - 2)**2/5
Let t = 296 + -286. Find z, given that 17*z**2 - 7/2*z**5 - 4 - t*z - 8*z**4 + 17/2*z**3 = 0.
-2, -2/7, 1
Let k(a) be the first derivative of 54*a**6 + 378*a**5/5 + 153*a**4/4 + 17*a**3/2 + 3*a**2/4 + 21. Let k(c) = 0. What is c?
-1/2, -1/3, -1/6, 0
Suppose -9*d + 104 = -184. Factor -4*a - 4*a**3 + 32 - 8*a**2 - d.
-4*a*(a + 1)**2
Suppose 11*u - 220 = -5*j + 16*u, -3*j - u + 116 = 0. Let b be j/280 - (-74)/70. Factor -4/5 - b*t + 4/5*t**2.
2*(t - 2)*(2*t + 1)/5
Let v = -3/2650 + 5309/7950. Factor v*r + 0 - 4/3*r**2 + 2/3*r**3.
2*r*(r - 1)**2/3
Let c = 281 + -1935/7. Factor 12/7*h**3 + c*h**2 - 8/7 + 12/7*h.
4*(h + 1)*(h + 2)*(3*h - 1)/7
Let a(c) = -4*c**4 - 386*c**3 + 53016*c**2 - 3322341*c + 78074886. Let d(n) = n**4 + 2*n**3 + n + 2. Let h(b) = a(b) + 5*d(b). Factor h(z).
(z - 94)**4
Suppose -5*r + 60 = 40. Suppose -3*z**2 - 63*z + 46 + 8 + 7*z**r + 15*z**3 - 10*z**4 = 0. Calculate z.
-2, 1, 3
Let a(l) be the first derivative of -l**4/7 - 4*l**3/21 + 10*l**2/7 - 12*l/7 + 14. Factor a(h).
-4*(h - 1)**2*(h + 3)/7
Suppose -3*w + 27 = 12. Determine u, given that -127*u**4 - 4*u**2 + 117*u**4 + 14*u**2 + 5*u**5 - w*u = 0.
-1, 0, 1
Suppose 1 = -5*o + 6. Let j(r) = -r + r**3 - r**2 - r - 2*r**3 + r - o. Let w(t) = -21*t**3 - 21*t**2 - 18*t - 18. Let l(q) = -18*j(q) + w(q). Factor l(p).
-3*p**2*(p + 1)
Let t be 5/(-4)*4*6/10. Let n(k) = -8*k**2 - k + 9. Let d(i) be the second derivative of -i**4/12 + i**2/2 - i. Let u(p) = t*n(p) + 21*d(p). Factor u(b).
3*(b - 1)*(b + 2)
Let z(u) = u**3 - u + 3. Let s(g) = -6*g**3 + 9*g**2 + 18*g - 24. Let v(k) = s(k) + 9*z(k). Solve v(n) = 0 for n.
-1
Let k = -15843 + 82919/5. Let g = -736 + k. Suppose 3/5*l**2 + g*l + 48/5 = 0. Calculate l.
-4
Let o be (-42)/12 - 4/(-8) - -3. Let x(g) be the second derivative of o*g**2 + 0*g**3 + 1/25*g**5 + 0 + 0*g**4 - 1/105*g**7 - 1/75*g**6 + g. Factor x(w).
-2*w**3*(w - 1)*(w + 2)/5
Suppose -2 = -d + 2. Factor 2*o**d - 79*o**3 + 38*o**3 - 2*o**2 + 43*o**3 - 2*o.
2*o*(o - 1)*(o + 1)**2
Let a(n) be the third derivative of 1/48*n**4 + 0 + 0*n**3 + 0*n + n**2 + 1/120*n**5