Let d(n) be the third derivative of 0*n**3 - 1/240*n**5 + 1/240*n**6 - 2*n**2 - 1/840*n**f + 0*n**4 + 0 + 0*n. Factor d(r).
-r**2*(r - 1)**2/4
Let i(r) be the second derivative of -2/15*r**6 - 2*r + 0*r**5 + 0 + r**4 + 0*r**2 - 4/3*r**3. Factor i(z).
-4*z*(z - 1)**2*(z + 2)
Let u(p) be the second derivative of p**8/320 - p**7/70 + p**6/80 + p**5/20 + p**4/12 - 2*p. Let a(j) be the third derivative of u(j). What is g in a(g) = 0?
-2/7, 1
Let z = 165 - 165. Factor 2/3*a + z - 1/3*a**2.
-a*(a - 2)/3
Let f(y) be the third derivative of -y**5/240 + y**4/32 - y**3/12 - 50*y**2. Suppose f(g) = 0. What is g?
1, 2
Factor -16/5*a + 2/15*a**2 + 96/5.
2*(a - 12)**2/15
Let m(x) be the first derivative of x**6/900 - x**5/300 - 2*x**3/3 - 1. Let g(i) be the third derivative of m(i). Factor g(o).
2*o*(o - 1)/5
Factor 8/11 + 50/11*i**4 + 24/11*i - 60/11*i**3 - 2*i**2.
2*(i - 1)**2*(5*i + 2)**2/11
Let d be 3/20 + 4/16. Solve 2/5*u**3 - 2/5*u + 2/5 - d*u**2 = 0.
-1, 1
Let h(d) = d**3 - d**2 - d + 1. Let f(o) = o**4 - 3*o**3 + o - 3. Let n(t) = -2*f(t) - 6*h(t). Factor n(j).
-2*j*(j - 2)*(j + 1)**2
Factor 2/7*p**3 + 220/7*p + 100/7 + 41/7*p**2.
(p + 10)**2*(2*p + 1)/7
Let i(q) be the third derivative of 0*q + 5/36*q**4 - 1/3*q**3 - 1/180*q**6 + 0 + 4*q**2 - 1/90*q**5. Factor i(u).
-2*(u - 1)**2*(u + 3)/3
Let u(q) = 2*q**2 - 14*q + 3. Let g be u(7). Factor 2/5*j**4 - 2/5*j**2 + 4/5*j + 0 - 4/5*j**g.
2*j*(j - 2)*(j - 1)*(j + 1)/5
Let t(m) be the second derivative of m**7/294 + m**6/70 - m**5/70 - m**4/7 - 4*m**3/21 - 3*m. Determine h so that t(h) = 0.
-2, -1, 0, 2
Let b(s) be the second derivative of s**7/126 - s**6/90 - s**5/30 + s**4/18 + s**3/18 - s**2/6 + s. Let b(i) = 0. What is i?
-1, 1
Suppose 10 = v - 4*f, 4*v - 12 = -0*v + 2*f. Suppose 2*p = v + 2. What is d in p*d**3 + 3*d**4 - 2*d**2 + 4*d**3 + 5*d**2 = 0?
-1, 0
Let g(p) be the first derivative of -p**5/90 + p**4/18 - p**3/9 - 2*p**2 - 1. Let v(s) be the second derivative of g(s). Let v(j) = 0. What is j?
1
Factor 2/11*i**2 + 2/11*i - 4/11.
2*(i - 1)*(i + 2)/11
Let r(f) be the third derivative of -f**7/210 + f**5/20 + f**4/12 - 22*f**2. Factor r(s).
-s*(s - 2)*(s + 1)**2
Let z be (-16)/(-9) - 6/(-27). Find x such that 0 - 4 + 0*x + z*x + 4*x**2 - 2*x**3 = 0.
-1, 1, 2
Let l(r) be the first derivative of 7*r**5/10 - r**4/4 - 34. Let l(q) = 0. What is q?
0, 2/7
Factor 1/2*z**2 - 1/2 - 7/4*z + 7/4*z**3.
(z - 1)*(z + 1)*(7*z + 2)/4
Let v be (-84)/(-588)*(1 + 3). Suppose 4*h - 3 = 3*w, -h - h + 5*w - 9 = 0. Factor 4/7*t**h + 2/7*t**5 - 6/7*t + v*t**2 - 6/7*t**4 + 2/7.
2*(t - 1)**4*(t + 1)/7
Let c = -322/5 + 3293/45. Let d = c - 25/3. Factor -4/9*y**3 + 2/3*y + 2/3*y**4 - 2/9*y**5 - 2/9 - d*y**2.
-2*(y - 1)**4*(y + 1)/9
Let q(y) = y**2 - 8*y - 7. Let w(i) = -i**2 - 8*i + 2. Let z be w(-7). Let k be q(z). Find u such that 0*u + u**2 - k*u + 3*u**2 - 4 + 2*u**3 = 0.
-2, -1, 1
Let a be (15/10 + -2)*(-2 - -1). Factor 0*h - a*h**3 - 1/2*h**4 + 0 + 0*h**2.
-h**3*(h + 1)/2
Solve 3*p + 18/5 - 3/5*p**2 = 0 for p.
-1, 6
Let g(o) = -o**4 + 5*o**3 + 6*o**2 - 4*o - 1. Let u(a) = -a**4 + 4*a**3 + 5*a**2 - 4*a - 2. Let l(t) = 2*g(t) - 3*u(t). Determine v so that l(v) = 0.
-1, 2
Suppose 5*t + 11 = -5*i + 46, -5*i - 2*t + 20 = 0. Factor 0*a**3 - 2/9*a**4 + 0 + 2/9*a**i + 0*a.
-2*a**2*(a - 1)*(a + 1)/9
Let o(s) be the first derivative of s**3/3 - s**2/2 - 4. Let v(q) = 3*q**2 + 4*q + 9. Let z(m) = 2*o(m) - v(m). Solve z(w) = 0.
-3
Let i(d) be the second derivative of d**4/3 - d**3 - 2*d**2 - 5*d. What is t in i(t) = 0?
-1/2, 2
Let o be 9/(-3) - 1/((-2)/7). Suppose o*t**2 + 1/2 + t = 0. What is t?
-1
Suppose -2*g = -j + 14, -j + 1 = -4*g - 23. Let -9/2*k**j + 7*k**2 + 15/2*k**3 - 4 - 6*k = 0. What is k?
-2/3, 1, 2
Let p be (-4944)/(-3605) + ((-8)/(-5))/(-2). Factor -6/7*h**2 + 2/7*h + p.
-2*(h - 1)*(3*h + 2)/7
Let t(v) be the first derivative of 3 + 2/5*v**5 + 0*v**2 - 1/4*v**4 + 0*v - 1/6*v**6 + 0*v**3. Factor t(q).
-q**3*(q - 1)**2
Let g(s) be the third derivative of -s**6/1260 + 2*s**5/315 - s**4/63 + 19*s**2. What is q in g(q) = 0?
0, 2
Let x(d) be the third derivative of d**5/105 + 5*d**4/42 - 18*d**2. Solve x(a) = 0 for a.
-5, 0
Let q = 12/25 - 23/100. Let t(u) be the second derivative of 0 + 0*u**3 + 0*u**2 - 4*u - q*u**4. Factor t(y).
-3*y**2
Let n(f) be the first derivative of 0*f**4 + 2/7*f**3 - 6/35*f**5 - 7 - 3/14*f**2 + 1/14*f**6 + 0*f. Factor n(p).
3*p*(p - 1)**3*(p + 1)/7
Let u(k) be the second derivative of 2*k + 0 - 1/15*k**4 + 2/75*k**6 + 0*k**5 + 1/15*k**3 + 0*k**2 - 1/105*k**7. Factor u(l).
-2*l*(l - 1)**3*(l + 1)/5
Let j = 100/297 + -1/297. What is w in 0*w**2 + 0*w**4 - j*w**5 + 2/3*w**3 - 1/3*w + 0 = 0?
-1, 0, 1
Factor -2/3*d**2 + 0 + 4/3*d.
-2*d*(d - 2)/3
Suppose 2*d + 5*i = d + 38, -5*d = 3*i - 102. Let b be ((-4)/(-6))/(4/d). Factor 2*u + b*u**3 - 7*u**3 + 2*u**3.
-2*u*(u - 1)*(u + 1)
Let m(z) = -z**2 + 9*z - 5. Let b be m(8). Suppose c**2 - 3 + 5 - 2 - c**b = 0. What is c?
0, 1
Let s(v) be the second derivative of -11/15*v**6 + 5/42*v**7 + 19/10*v**5 - 8/3*v**4 + 13/6*v**3 - v**2 + 0 + 2*v. What is p in s(p) = 0?
2/5, 1
Solve 0 - 9/5*z + 12/5*z**2 - 3/5*z**3 = 0.
0, 1, 3
Let a(j) be the first derivative of j**4 + 4*j**3 + 6. Factor a(f).
4*f**2*(f + 3)
Find f such that 5*f**5 - 36 + 36 - f**2 - 4*f**2 - 15*f**4 + 15*f**3 = 0.
0, 1
Let h(o) be the second derivative of o**7/84 - o**6/60 - o**5/40 + o**4/24 - 51*o. Suppose h(n) = 0. What is n?
-1, 0, 1
Suppose p = -0*p + 17*p. Solve -8/5*q + p - 4*q**2 + 4*q**4 - 4/5*q**3 + 12/5*q**5 = 0 for q.
-1, -2/3, 0, 1
Let y(m) be the second derivative of 1/3*m**2 + 7*m - 2/9*m**3 + 0 + 1/18*m**4. Factor y(d).
2*(d - 1)**2/3
Let b(r) be the second derivative of r**7/252 - r**6/45 + r**5/40 + r**4/18 - r**3/9 + r. Factor b(s).
s*(s - 2)**2*(s - 1)*(s + 1)/6
Let j(g) be the second derivative of g**4/4 + g**3/2 + 5*g. Factor j(y).
3*y*(y + 1)
Let r(d) = 8*d**3 + 60*d**2 + 240*d + 320. Let o(q) = q**3. Let w(k) = -3*o(k) + r(k). Factor w(s).
5*(s + 4)**3
Let n(b) be the second derivative of -b**6/1260 + b**5/210 - 5*b**3/6 - 5*b. Let o(y) be the second derivative of n(y). Factor o(v).
-2*v*(v - 2)/7
Solve -2/3*g**2 + 4/9*g + 2/9*g**3 + 0 = 0.
0, 1, 2
Let l(o) be the third derivative of o**7/5040 - o**6/360 + o**5/60 - o**4/24 - 2*o**2. Let h(p) be the second derivative of l(p). Find w, given that h(w) = 0.
2
Let y = -8 - -13. Suppose y*w + 3*t = 3, 0 = 4*w - t + 5*t + 4. Factor 0 - 2/3*b**4 + 0*b**w + 0*b + 0*b**2.
-2*b**4/3
Let r(z) be the first derivative of z**4/4 - 2*z**3/3 - z**2/2 + 2*z - 8. Solve r(q) = 0 for q.
-1, 1, 2
Let a(b) be the first derivative of -b**4 + 8*b**3/3 + 11. Solve a(o) = 0.
0, 2
Suppose -g = 4, -g + 11 = -q + 4*q. Find t, given that 2*t**2 + t**5 + 3*t**3 - t**3 - 2*t**4 - 3*t**q = 0.
-1, 0, 1
Let l = 4 - 2. Factor 12*p**4 + 2*p + 24*p**l - 33*p**2 + 3*p**4 + 4*p**3.
p*(p + 1)*(3*p - 1)*(5*p - 2)
Let i(t) be the third derivative of t**8/2856 + t**7/357 + 7*t**6/1020 + t**5/170 + 11*t**2. Determine a so that i(a) = 0.
-3, -1, 0
Let y(t) be the first derivative of 3*t**5/5 + 3*t**4/4 - 32. What is f in y(f) = 0?
-1, 0
Suppose 0 + 1/5*b + 3/5*b**2 + 3/5*b**3 + 1/5*b**4 = 0. Calculate b.
-1, 0
Let f(s) be the second derivative of -s**6/195 + s**5/65 - s**4/78 + 4*s. Factor f(m).
-2*m**2*(m - 1)**2/13
Let t = 413/9 - 392/9. What is d in -5/3*d**3 - d + 0 + t*d**2 + 1/3*d**4 = 0?
0, 1, 3
Let k(x) = -x**3 + 9*x + 12. Let b be k(-2). Find z such that 3/7*z**3 - 24/7*z**b + 24/7*z**4 + 9/7*z**5 - 12/7*z + 0 = 0.
-2, -1, -2/3, 0, 1
Let r(k) = 4*k**3 - 32*k**2 + 83*k - 64. Let a(t) = -20*t**3 + 160*t**2 - 414*t + 320. Let o(j) = 3*a(j) + 14*r(j). Determine d, given that o(d) = 0.
2, 4
Let g(x) be the second derivative of -x**6/15 - x**5/2 - x**4/2 + 3*x**3 - 4*x. Solve g(t) = 0 for t.
-3, 0, 1
Let o(f) = -f**2 - 4*f + 7. Let z be o(-5). Factor 0*l**3 + 0 - 3*l**2 - 2 + 5*l - l**z + l**3.
(l - 2)*(l - 1)**2
Suppose -z = -4*i + 14, 0 = 4*z - 3*i - 5 - 4. Let t be (1 - 4/z)*18. Let t + 3*x - 6*x**2 + 0*x**3 + 0*x - 3*x**3 = 0. What is x?
-2, -1, 1
Let x(o) = -o + 8. Let h be x(5). Let r(i) be the third derivative of 0*i + 1/60*i**5 - 1/24*i**4 + 1/120*i**6 - 1/6*i**h + 2*i**2 + 0. Factor r(l).
(l - 1)*(l + 1)**2
Let h(j) = -3*j**2 - 6*j - 9. Let i(x) 