x) = h*l(x) - 3*q(x). Factor f(s).
2*s*(s - 1)
Let j(r) be the second derivative of 7*r**6/240 + 127*r**5/80 - 151*r**4/32 + 29*r**3/12 + 19*r**2/4 + 181*r. Let j(u) = 0. What is u?
-38, -2/7, 1
Let v = 98609/9246 - -5/3082. Suppose -5*t + 2 = -8, -2*t = -2*b. Factor v + 2/3*h**b + 16/3*h.
2*(h + 4)**2/3
Let p(w) = 7*w**2 - 105*w + 4. Let x be p(15). Factor 0*b + 2/5*b**x + 4/5*b**3 - 6/5*b**2 + 0.
2*b**2*(b - 1)*(b + 3)/5
Let n be (-120)/75 - 4/(-220)*98. Factor -n*h**4 + 2/11*h**5 + 2/11*h**2 - 2/11*h**3 + 0 + 0*h.
2*h**2*(h - 1)**2*(h + 1)/11
Let p(a) = -a**2 + 5*a**2 - 3*a**2. Let l(o) = 4*o**2 - 8*o + 4. Let r(k) = l(k) - p(k). Factor r(g).
(g - 2)*(3*g - 2)
Let w(r) be the second derivative of -r**7/15120 + r**6/1080 + r**5/144 + r**4/2 - 2*r. Let d(f) be the third derivative of w(f). Factor d(u).
-(u - 5)*(u + 1)/6
Let g(o) be the second derivative of o**6/6 + 185*o**5 + 171125*o**4/2 + 63316250*o**3/3 + 5856753125*o**2/2 + 258*o. Factor g(z).
5*(z + 185)**4
Solve -2/5*j**2 - 28*j - 490 = 0 for j.
-35
Factor -5274/7*j**3 - 6075/7 - 2565*j - 17418/7*j**2 + 261/7*j**4 - 3/7*j**5.
-3*(j - 45)**2*(j + 1)**3/7
Let x = -6 + 4. Let k be 1*-2*(x + 0). Find d, given that k*d**2 + 8*d**4 - 2*d**4 - 8*d**4 - 2*d**3 = 0.
-2, 0, 1
Let h(a) be the second derivative of a**9/3024 - a**8/224 + a**7/42 - a**6/18 - 4*a**4/3 - 11*a. Let u(y) be the third derivative of h(y). Factor u(n).
5*n*(n - 2)**3
Factor -53893 + 192*g**2 + 21088 - 197*g**2 - 810*g.
-5*(g + 81)**2
Let f(u) be the second derivative of -2*u**6/45 - u**5/3 + 7*u**4/3 - 46*u**3/9 + 16*u**2/3 + 618*u. Factor f(l).
-4*(l - 1)**3*(l + 8)/3
Let l = -7 + 8. Let j be (l/3 + 10 + -10)*1. Factor 0 + j*z**3 + 2/3*z**2 + 1/3*z.
z*(z + 1)**2/3
Suppose -41 + 26 = -4*r - 5*n, 3*n - 9 = -3*r. Solve 14/5*k**2 - 14/5*k**4 - 4/5*k + r + 2*k**5 - 6/5*k**3 = 0 for k.
-1, 0, 2/5, 1
Let h(s) be the second derivative of 19/40*s**6 + 0 - 15*s + 1/16*s**4 + 0*s**3 + 3/14*s**7 + 3/10*s**5 + 0*s**2. Solve h(t) = 0.
-1, -1/3, -1/4, 0
Let s(a) = -33*a**4 - 49*a**3 - 5*a**2 + 9*a - 6. Let t(h) = -h**2 - h - 1. Let j(k) = -s(k) + 4*t(k). Determine d, given that j(d) = 0.
-1, 2/11, 1/3
Let d(m) = m**2 - 5*m - 9. Let v be d(7). Suppose g + 2 = -3*f - 0, -v*f - 3*g - 10 = 0. Factor 5*l**3 - 3*l + 3*l**4 + l**2 - 3*l**5 + 4 + l**3 - 7*l**2 - f.
-3*(l - 1)**3*(l + 1)**2
Let h(d) = 8*d**3 - 64*d**2 - 64*d - 2. Let l(t) = 2*t**3 + 2*t - 1. Let o(v) = -h(v) + 2*l(v). Factor o(g).
-4*g*(g - 17)*(g + 1)
Suppose -3*r - 22 + 4 = -3*v, 0 = -2*v - 4*r. Let s(n) be the first derivative of -8*n - 2/3*n**3 + 4*n**2 + v. Factor s(o).
-2*(o - 2)**2
Factor -190*c**3 - 53*c**2 + 175 - 169*c**2 + 762*c**2 + 5*c**4 - 530*c.
5*(c - 35)*(c - 1)**3
Let n(x) = -5*x - 4. Let z(w) = 3*w + 2. Let y(k) = -4*n(k) - 7*z(k). Let q be y(-3). Suppose -q*u**4 - 4*u**2 + 6*u**4 + 6*u**4 - 3*u**4 = 0. Calculate u.
-1, 0, 1
Let y(j) = j**2 + 12*j + 11. Let s be y(-12). Factor -2*l**3 - 12*l**3 + 16*l**3 + 5*l + s*l**2.
l*(l + 5)*(2*l + 1)
Let h(p) be the first derivative of -5*p**4/4 + 20*p**3/3 - 25*p**2/2 + 10*p + 86. Factor h(x).
-5*(x - 2)*(x - 1)**2
Suppose 10*x - 121 = -91. Let d(f) be the second derivative of 26/3*f**x + 0 + 5*f + 9/5*f**5 - 20/3*f**4 - 4*f**2. Factor d(q).
4*(q - 1)**2*(9*q - 2)
Suppose -1369/4 + 37/2*p - 1/4*p**2 = 0. Calculate p.
37
Let w(k) be the third derivative of -k**8/168 - k**7/35 + k**6/15 + 136*k**2 + 2*k. Suppose w(v) = 0. What is v?
-4, 0, 1
Let x = -13809 + 13809. Solve 0 + 1/2*r**2 + x*r = 0.
0
Suppose 5*s + 18 = -l + 2*l, 2*l + 5*s + 9 = 0. Factor k**3 - 4*k**4 - 12*k**2 - 36*k + l*k**3 + 11*k**3 + 5*k**3.
-4*k*(k - 3)**2*(k + 1)
Let m(a) be the second derivative of 15*a**5/28 - 2995*a**4/28 + 1192*a**3/7 - 102*a**2 + 274*a. Factor m(l).
3*(l - 119)*(5*l - 2)**2/7
Let z(m) be the second derivative of 0 + 1/50*m**6 + 0*m**2 + 1/4*m**4 + 23*m - 3/25*m**5 - 1/5*m**3. Factor z(j).
3*j*(j - 2)*(j - 1)**2/5
Let y = 678 + -678. Let c(m) be the second derivative of 0*m**2 - m + 0*m**4 + 0*m**3 - 1/30*m**6 + 0 - 1/42*m**7 + y*m**5. Factor c(v).
-v**4*(v + 1)
Let s(k) be the third derivative of -1/108*k**4 + 2/27*k**3 + 0*k - 45*k**2 - 1/270*k**5 + 0. Factor s(m).
-2*(m - 1)*(m + 2)/9
Let b = 144/847 - -14/121. Suppose 0*t - 6/7*t**4 + 2*t**2 - 2/7*t**3 - 8/7 + b*t**5 = 0. Calculate t.
-1, 1, 2
Suppose 4*q + q = 40. Let a(o) be the second derivative of -4*o**3 + 2*o + 0 - 1/10*o**5 + q*o**2 + o**4. Suppose a(g) = 0. Calculate g.
2
Let l(u) be the first derivative of -u**9/5292 - u**8/5880 - 7*u**3 + 8. Let j(m) be the third derivative of l(m). Solve j(z) = 0.
-1/2, 0
Let s(z) be the first derivative of 3 - 9*z + 1/15*z**3 + 1/50*z**5 + 1/15*z**4 + 0*z**2. Let b(d) be the first derivative of s(d). Factor b(n).
2*n*(n + 1)**2/5
Let h(b) be the first derivative of 3*b**4/28 + 8*b**3/7 - 57*b**2/14 + 30*b/7 + 91. Let h(t) = 0. What is t?
-10, 1
Let y(s) be the third derivative of -s**6/660 + s**5/110 - 166*s**2. Determine x, given that y(x) = 0.
0, 3
Let x be (730/(-438))/((-55)/18). Determine t, given that 6/11 + 6/11*t**5 - 12/11*t**2 + 6/11*t - 12/11*t**3 + x*t**4 = 0.
-1, 1
Let t be ((-6)/12)/(2/(-36)). Suppose -g + 7 = 5*a, 7*g = -3*a + 2*g - t. Factor 0*h - h**4 - a*h + 2*h**3 - 547 + 548.
-(h - 1)**3*(h + 1)
Let t be ((-3)/3 - 0) + 9. Let c = t + -6. Factor 6 - s**c - 3 - 1 + s.
-(s - 2)*(s + 1)
Find x, given that -11*x**2 - 8*x - 5*x**2 + 4*x**2 + 9 + 11*x**2 = 0.
-9, 1
Let g(b) = -19*b**4 - 14*b**3 + 13*b**2 + 13*b. Let k(p) = -3*p**4 - 2*p**3 + 2*p**2 + 2*p. Let t(j) = 6*g(j) - 39*k(j). Factor t(z).
3*z**3*(z - 2)
Let j(q) be the third derivative of -5*q**6/24 + q**5/4 - q**4/8 - 11*q**3/6 + q**2. Let u(p) be the first derivative of j(p). Solve u(z) = 0 for z.
1/5
Let f(g) be the first derivative of g**4/60 + g**3/10 + g**2/5 - 7*g + 8. Let o(j) be the first derivative of f(j). Factor o(r).
(r + 1)*(r + 2)/5
Let w(f) be the third derivative of -1/2*f**3 + 6*f**2 + 0 - 1/8*f**4 + 1/60*f**5 + 0*f - 1/1080*f**6. Let t(b) be the first derivative of w(b). Factor t(c).
-(c - 3)**2/3
Suppose 704 = 7*l - 1431. Solve 305*q**2 + l*q**2 - 2 - 608*q**2 = 0.
-1, 1
Let o(t) be the second derivative of 2*t**6/135 + 56*t**5/9 + 9800*t**4/9 + 2744000*t**3/27 + 48020000*t**2/9 - 4*t - 28. Factor o(w).
4*(w + 70)**4/9
Suppose 85*s + 43 - 213 = 0. Let y(b) be the second derivative of -1/3*b**4 - 8*b**s - 7*b + 8/3*b**3 + 0. Factor y(l).
-4*(l - 2)**2
Let p(r) be the first derivative of 5/6*r**2 + 22 - 1/9*r**3 - 4/3*r. Factor p(o).
-(o - 4)*(o - 1)/3
Find g such that 0*g + 0 - 2*g**4 + 2/3*g**5 + 0*g**2 + 4/3*g**3 = 0.
0, 1, 2
Suppose -5 = -3*w + 16. Solve -3*b**5 + 45*b - 8*b**3 - 21*b**4 + 27 - 34*b**3 + w*b**2 + 0*b**3 - 13*b**2 = 0 for b.
-3, -1, 1
Let u(y) be the third derivative of 0*y**4 + 0*y**3 - 32/15*y**6 - 1/24*y**8 - 14*y**2 + 0 + 0*y + 16/15*y**5 + 58/105*y**7. Find k such that u(k) = 0.
0, 2/7, 4
Let j be 8/52 + (-58548)/(-195). Let v = 302 - j. Factor -2/5*t**2 - 8/5 - v*t.
-2*(t + 2)**2/5
Let o(y) = y**2 + 3*y + 78. Let c be o(0). What is h in 78*h - c*h + 3*h**2 = 0?
0
Suppose 0 = 3*y + 4*k - 9, -y = -15*k + 19*k - 3. Factor -128/3 + 128/3*i + 4/3*i**y - 40/3*i**2.
4*(i - 4)**2*(i - 2)/3
Let b(q) be the second derivative of -1/7*q**7 + 11*q - 13/30*q**5 + 0 + 10/9*q**4 - 4/9*q**3 - 2/3*q**6 + 0*q**2. Factor b(w).
-2*w*(w + 2)**2*(3*w - 1)**2/3
Suppose 0 = -5*t - 15, -5*t = 4*n - 2*t - 31. Suppose -5*c + 0*c = -n. Factor -5*s**2 + 2*s**c - 8*s + 7*s**2 + 4.
4*(s - 1)**2
Factor -2*m**2 - 4*m**2 + 50*m + m**2 - 40 - 5*m**3.
-5*(m - 2)*(m - 1)*(m + 4)
Let i(t) be the third derivative of 5/96*t**4 - 1/48*t**5 + 5/24*t**3 + 0 + t + 15*t**2 - 1/96*t**6. Suppose i(o) = 0. Calculate o.
-1, 1
Let 1593*i**2 + 55 + 1596*i**2 + 41*i + 9*i - 3194*i**2 = 0. Calculate i.
-1, 11
Let w(v) be the second derivative of -v**6/6 - v**5/4 + 111*v. What is s in w(s) = 0?
-1, 0
Let q(a) = 12*a**2 + 4*a. Let p(u) = -35*u**2 - 12*u. Let w(h) = -4*p(h) - 14*q(h). Factor w(m).
-4*m*(7*m + 2)
Let l = -345 - -347. Factor 0*t + 1/3*t**l - 4/3.
(t - 2)*(t + 2)/3
Let z(c) be the first derivative of c**5/30 + c**4/12 - 2*c**3/9 - c**2/6 + c/2 - 288. Solve z(m) = 0 for m.
-3, -1, 1
Let f(w) = w**3 - w**2 + 2*w + 4. Let d be f(0). Factor -d*b**3 - 2*b**3 -