 2 - 4/3*z.
2*(z - 1)*(5*z + 3)/3
Let k(f) = 2*f**3 + 4*f**2 + 4*f + 1 + 0*f + 8*f**4 + 2*f**2 - 6*f**4. Let r(i) = 3*i**4 + 3*i**3 + 7*i**2 + 5*i + 2. Let u(n) = -4*k(n) + 3*r(n). Factor u(c).
(c - 1)**2*(c + 1)*(c + 2)
Let w(s) be the second derivative of -s**6/75 - 3*s**5/25 - 2*s**4/5 - 2*s**3/3 - 3*s**2/5 - 10*s. Factor w(u).
-2*(u + 1)**3*(u + 3)/5
Suppose -6 = -5*n + 14. Let w = -29 - -33. Find c, given that -c**3 + w*c**4 + 8*c**2 - 1 - 13*c**4 + 2 - 6*c + n*c**5 + 3*c**3 = 0.
-1, 1/4, 1
Let x(u) = -6*u**3 + 3*u - 3. Let b(z) = 7*z**3 + z**2 - 4*z + 4. Let r(c) = -3*b(c) - 4*x(c). Factor r(n).
3*n**2*(n - 1)
Let d be (-3)/9 + (-14)/(-6). Suppose 0 = -4*p + d*p. Find c such that p*c**3 - 4/7*c**2 + 4/7*c**4 + 0 + 2/7*c**5 - 2/7*c = 0.
-1, 0, 1
Let h(c) = -11*c**2 + 26*c - 23. Let x(y) = 7*y**2 - 17*y + 15. Let o(k) = -5*h(k) - 8*x(k). Factor o(g).
-(g - 5)*(g - 1)
Let d = 33 - 29. Let y = d - 2. Factor -19/2*t**2 + 7/2*t - 1/2 + y*t**5 - 8*t**4 + 25/2*t**3.
(t - 1)**3*(2*t - 1)**2/2
Suppose j - 3*m + 7 = 0, -4*j + 5*m = 9*m - 20. Factor 1/5*q - 2/5*q**j - 1/5*q**3 + 2/5.
-(q - 1)*(q + 1)*(q + 2)/5
Let x(u) be the third derivative of -u**8/3360 + u**7/2100 + u**6/1200 - u**5/600 - 7*u**2. Factor x(i).
-i**2*(i - 1)**2*(i + 1)/10
Let w(a) = 2*a**2 - 4*a + 2. Let j = -15 - -16. Let l(q) = -q**2 + q. Let p(c) = j*w(c) + 3*l(c). Factor p(o).
-(o - 1)*(o + 2)
Let u(f) be the second derivative of -f**7/56 - 17*f**6/120 - 17*f**5/40 - 7*f**4/12 - f**3/3 - 16*f. What is c in u(c) = 0?
-2, -1, -2/3, 0
Factor 9720*q**3 - 102 - 1415*q**2 + 1120*q + 22 - 3645*q**4 - 3985*q**2.
-5*(q - 2)*(9*q - 2)**3
What is z in 6/5*z**5 - 4*z**4 - 8/5*z + 8/5*z**2 + 0 + 14/5*z**3 = 0?
-2/3, 0, 1, 2
Let f(p) be the second derivative of -p**5/10 + p**4/3 + 4*p. Solve f(d) = 0 for d.
0, 2
Let k(v) be the first derivative of v**6/300 + v**5/150 + 7*v**3/3 - 8. Let o(m) be the third derivative of k(m). Let o(c) = 0. Calculate c.
-2/3, 0
Let v be (-2)/56 - 2/(-7). Let f(y) be the first derivative of 0*y + 1 + v*y**4 + 2/3*y**3 + 1/2*y**2. Let f(m) = 0. Calculate m.
-1, 0
Let r be 6/2 - 4 - -8. Suppose r - 8*t - 3*t**4 - 12*t**2 + t**4 - 8*t**3 - 9 = 0. Calculate t.
-1
Let r(o) be the third derivative of o**6/240 + o**5/120 + 35*o**2. Suppose r(h) = 0. Calculate h.
-1, 0
Let w be (-6)/(2 - (-33)/(-12)). Suppose -2*q**2 + 3 - 2*q**2 - w*q - 2 - 5 = 0. What is q?
-1
Factor -2/9*t**3 - 2*t**2 - 6*t - 6.
-2*(t + 3)**3/9
Let m(b) = 3*b**2 + 8*b + 8. Let g(a) = a**2 + 3*a + 3. Let h = 7 + -15. Let l(x) = h*g(x) + 3*m(x). Suppose l(z) = 0. Calculate z.
0
Let h = -8 - -8. Factor h*b**2 + 9*b - 6*b - 3*b**2.
-3*b*(b - 1)
Suppose -2*r + 1 = -5. Let x(c) be the first derivative of 1 + 1/4*c**2 - 3/4*c**r + 3/16*c**4 + 7/10*c**5 + 0*c. Determine l so that x(l) = 0.
-1, 0, 2/7, 1/2
Let u = -37 + 65. Let s = u + -24. Factor 0 - i**2 - 1/3*i**s + 1/3*i + i**3.
-i*(i - 1)**3/3
Let h(s) = 9*s**2 + 59*s + 65. Let a(p) = -5*p**2 - 29*p - 33. Let r(n) = 5*a(n) + 3*h(n). Factor r(b).
2*(b + 1)*(b + 15)
Let s(g) be the first derivative of -g**4/20 + 2*g**3/15 - g**2/10 - 6. Factor s(f).
-f*(f - 1)**2/5
Let d(o) be the first derivative of 1/24*o**4 - 1 + 1/15*o**5 - 1/9*o**3 - o**2 + 0*o + 7/360*o**6. Let f(l) be the second derivative of d(l). Factor f(y).
(y + 1)**2*(7*y - 2)/3
Let y(i) = -21*i**3 + 3*i**2 + 69*i + 45. Let u(b) = -5*b**3 + b**2 + 17*b + 11. Let p(r) = -9*u(r) + 2*y(r). Factor p(x).
3*(x - 3)*(x + 1)**2
Let v = -871163/78 - -11169. Let p = v + -1/13. Factor p*n**5 + 0*n + 0 + 1/6*n**3 + 1/3*n**4 + 0*n**2.
n**3*(n + 1)**2/6
Let j be 24/9*1*2/8. Let v(c) be the first derivative of 2*c - j*c**3 - 1 - 1/2*c**4 + c**2. Let v(h) = 0. Calculate h.
-1, 1
Factor 2*w**4 + 55*w**2 - 2*w**3 - 55*w**2.
2*w**3*(w - 1)
Let c(i) be the second derivative of 1/13*i**2 - 1/130*i**5 - 1/78*i**4 + 1/39*i**3 + 0 + 3*i. Factor c(y).
-2*(y - 1)*(y + 1)**2/13
Let k(p) = -5*p**4 + 7*p**3 + 6*p - 6. Let h(n) = -6*n**4 + 8*n**3 + 7*n - 7. Let a(r) = 6*h(r) - 7*k(r). Factor a(x).
-x**3*(x + 1)
Let a(o) be the first derivative of -o**6/1440 - o**5/240 + o**4/32 + 8*o**3/3 + 3. Let v(s) be the third derivative of a(s). Find m such that v(m) = 0.
-3, 1
Suppose 4*y - 3*i + 36 = -4*i, 5*i + 52 = -4*y. Let j be y/(-2) + (0 - 0). Let 2/7*p + 38/7*p**3 + 0 - 16/7*p**2 - 24/7*p**j = 0. What is p?
0, 1/4, 1/3, 1
Let w(v) be the first derivative of v**8/672 - v**7/210 + v**5/60 - v**4/48 + v**2 - 2. Let g(p) be the second derivative of w(p). Factor g(h).
h*(h - 1)**3*(h + 1)/2
Let u(i) = -i**3 + i**2 + 10*i + 3. Let n(d) = -d. Let r(a) = 10*n(a) + 2*u(a). Determine z so that r(z) = 0.
-1, 3
Let o(y) be the first derivative of -y**6/720 - y**5/120 - y**3 + 3. Let t(w) be the third derivative of o(w). Factor t(q).
-q*(q + 2)/2
Suppose -12*s + 34 = -26. Let d(z) be the third derivative of -1/30*z**s + 1/3*z**3 + 3*z**2 + 0*z**4 + 0*z + 0. Solve d(i) = 0.
-1, 1
Let 394/5*y**2 - 48*y**4 - 160*y**5 + 542/5*y**3 + 8/5 + 96/5*y = 0. What is y?
-2/5, -1/4, 1
Let -216/5*w - 144/5*w**2 - 108/5 - 4/5*w**4 - 8*w**3 = 0. What is w?
-3, -1
Factor -1/2*q + 1/2*q**2 + 0.
q*(q - 1)/2
Let y = 92/693 + 1/99. Let l(h) be the second derivative of -y*h**2 + 2/21*h**3 - 2*h - 1/42*h**4 + 0. Let l(u) = 0. What is u?
1
Factor -18*y + 24*y**2 + 32 + 5*y + 11*y**3 - 15*y**3 - 35*y.
-4*(y - 2)**3
Let v(p) = -p - 1. Let r be v(-3). Let u = -77 - -80. Factor 0 + 0*s**r + 2/3*s - 2/3*s**u.
-2*s*(s - 1)*(s + 1)/3
Let z(n) = n + 9. Let u be z(-4). Solve u*f**2 - f - 2*f**2 + f + 3*f = 0.
-1, 0
Let l(f) be the third derivative of -f**9/45360 + f**7/1260 + f**6/270 + f**5/20 + 7*f**2. Let d(x) be the third derivative of l(x). Let d(t) = 0. What is t?
-1, 2
Factor -g**4 + 0*g**3 + g**2 + g**3 + 2*g + g**5 - g**3 - 3*g**3.
g*(g - 2)*(g - 1)*(g + 1)**2
Suppose -2*n = -4 - 0. Let s be 0*(-2 - n/(-2)). Factor -1/4*y**5 + 1/2*y**3 + 0 + 0*y**4 + s*y**2 - 1/4*y.
-y*(y - 1)**2*(y + 1)**2/4
Suppose u + 8 = 18. Let v be ((-3)/u)/((-16)/120). Let v*f**2 - 5/4*f + 5/4*f**3 - 7/4*f**4 - 1/2 = 0. Calculate f.
-1, -2/7, 1
Let b(p) be the second derivative of -1/16*p**4 - p + 0*p**2 + 0 - 1/8*p**3. Factor b(o).
-3*o*(o + 1)/4
Let h(c) be the third derivative of c**6/280 - c**5/140 - 5*c**4/56 - 3*c**3/14 - 6*c**2. Suppose h(a) = 0. What is a?
-1, 3
Let r = -87 - -87. Let o(k) be the second derivative of 0*k**3 + 1/21*k**6 + r - 2*k + 0*k**4 + 0*k**2 - 4/147*k**7 - 1/70*k**5. Solve o(i) = 0 for i.
0, 1/4, 1
Let x be (6/8)/(3/24). Let o be x/(-5)*(-10)/15. Factor 2/5 + o*y + 2/5*y**2.
2*(y + 1)**2/5
Let f(z) be the first derivative of 4*z**5/15 + 2*z**4/3 + 4*z**3/9 + 10. Factor f(n).
4*n**2*(n + 1)**2/3
Let v(o) be the third derivative of o**7/1680 - o**6/960 - o**5/480 + o**4/192 + 10*o**2. Factor v(n).
n*(n - 1)**2*(n + 1)/8
Let d(x) = -x**2 - 5*x - 2. Let q be d(-2). Solve -f**2 - 1 + 1 - q*f + 5*f = 0.
0, 1
Suppose 3*a = 0, 2*c + 2*c + 4*a = 4. Let t be 1 + 6/(2 + c). Factor 1/2*i + i**2 + 1/2*i**t + 0.
i*(i + 1)**2/2
Let 1/6*a**2 - 1/6*a**4 - 1/2*a**3 + 0 + 1/2*a = 0. What is a?
-3, -1, 0, 1
Let g(x) = -2*x - 6. Let r be g(-5). Suppose -5*c = 3*d + r, -8 = -3*d + 4*c + 6. Factor -1 + 0*p**d - 1/2*p**3 + 3/2*p.
-(p - 1)**2*(p + 2)/2
Let n(c) = -6*c**3 - 8*c**2 + c + 7. Let y(r) = -17*r**3 - 23*r**2 + 4*r + 20. Let m(f) = -8*n(f) + 3*y(f). Suppose m(q) = 0. Calculate q.
-2, -2/3, 1
Suppose -5 = -3*s - 131. Let d be (24/s)/((-2)/7). Factor -2/9*g + 8/9*g**d + 0.
2*g*(4*g - 1)/9
Let k(s) be the first derivative of -s**6/630 + s**4/42 + s**3/3 + 5. Let q(o) be the third derivative of k(o). Determine x so that q(x) = 0.
-1, 1
Factor l + 0*l - 12*l**2 - 4*l**2 + 3*l.
-4*l*(4*l - 1)
Determine z, given that -27/4*z**3 + z - 6*z**2 + 243/4*z**4 + 0 = 0.
-1/3, 0, 2/9
Let t(x) = 2*x**2 - 4. Let j(n) = 4*n**2 - 15. Let f(p) = -6*p**2 + 22. Let q(k) = 5*f(k) + 7*j(k). Let h(r) = 2*q(r) + 3*t(r). Let h(z) = 0. What is z?
-1, 1
Factor -2*l**2 - 2536 + 2536 + 6*l.
-2*l*(l - 3)
Let h(z) be the third derivative of 0 - 1/90*z**5 + 1/36*z**4 + z**2 + 2/9*z**3 + 0*z. Factor h(k).
-2*(k - 2)*(k + 1)/3
Let q(g) be the third derivative of -g**8/1848 + g**7/1155 + g**6/330 - g**5/165 - g**4/132 + g**3/33 - 2*g**2. Factor q(n).
-2*(n - 1)**3*(n + 1)**2/11
Let a = -8 + 14. Factor -2*s*