nd derivative of f(p). Solve o(h) = 0.
0, 2
What is u in -79*u**2 - 40 - 5*u**3 + 0*u**3 + 20*u + 89*u**2 = 0?
-2, 2
Let m(t) be the third derivative of -7*t**8/240 + 17*t**7/150 + 187*t**6/300 - 53*t**5/75 - 5*t**4/3 - 16*t**3/15 - 15*t**2. Suppose m(l) = 0. What is l?
-2, -2/7, 1, 4
Let o(g) be the third derivative of -g**5/480 + g**4/48 - g**3/12 - 12*g**2. Factor o(q).
-(q - 2)**2/8
Let d(k) be the second derivative of -1/8*k**4 + 1/20*k**5 + 3*k + 0 + 3/2*k**2 + 0*k**3. Let f(r) be the first derivative of d(r). Suppose f(v) = 0. What is v?
0, 1
Let p(l) = l**2 - l + 1. Let j(c) = -24*c**2 + 20*c - 22. Let r(q) = 2*j(q) + 44*p(q). Factor r(w).
-4*w*(w + 1)
Let j = -383/8 + 48. Let u(d) be the first derivative of j*d**4 + 1/12*d**3 + 1/20*d**5 + 2 + 0*d + 0*d**2. Factor u(f).
f**2*(f + 1)**2/4
Let a = 23554/10311 - -2/1473. Suppose -10/7*m**3 + a*m - 4/7*m**4 - 8/7 + 6/7*m**2 = 0. What is m?
-2, 1/2, 1
Let c(d) be the third derivative of d**7/11340 - d**6/3240 + d**4/6 - 4*d**2. Let n(o) be the second derivative of c(o). Suppose n(f) = 0. Calculate f.
0, 1
Let y(l) be the third derivative of l**5/120 - l**4/48 + 37*l**2. Factor y(f).
f*(f - 1)/2
Let d = 2 - 0. Let q be (0 - -3 - 3)/d. Factor -2/3*o**4 + 2/3*o**2 + 0*o**3 + 0 + q*o.
-2*o**2*(o - 1)*(o + 1)/3
Let m = 28 - 26. Let -m*f + 0*f**2 + 4/3 + 2/3*f**3 = 0. Calculate f.
-2, 1
Let z(o) = -2*o**2 + 4*o - 2. Let s = -1 + 3. Let m(v) = 0*v**s + 13*v - 6 - 6*v**2 + 0*v - 1. Let g(j) = 2*m(j) - 7*z(j). Solve g(p) = 0 for p.
0, 1
Let p = -50/33 - -24/11. Factor 0 - 2/3*x**4 + 2/3*x**2 - p*x + 2/3*x**3.
-2*x*(x - 1)**2*(x + 1)/3
Let w(t) be the second derivative of -t - 9/28*t**5 + 1/4*t**4 - 1/14*t**3 + 9/70*t**6 + 0*t**2 + 0. Factor w(f).
3*f*(f - 1)*(3*f - 1)**2/7
Let u = 29 - 1. What is m in 3*m**4 - u + 3*m**2 + 0*m**4 - 9*m**3 + 9*m + 22 = 0?
-1, 1, 2
Let a(v) be the first derivative of 6*v**6/5 + 12*v**5/5 - 2*v**4/5 - 56*v**3/15 - 14*v**2/5 - 4*v/5 - 12. Find q, given that a(q) = 0.
-1, -1/3, 1
Suppose -3*i + 0 = 9. Let g be (-3)/9*(i - -3). Determine l, given that 2/9*l**5 + 2/9*l + g - 4/9*l**3 + 0*l**2 + 0*l**4 = 0.
-1, 0, 1
Let s be 1 + 1/1 + -2. Suppose -2*g = -s*g. Find p, given that 0*p + 0*p**2 + 1/3*p**4 - 1/3*p**5 + 0 + g*p**3 = 0.
0, 1
Let -8 + 4*f**3 - 12*f + 12*f**3 - 6*f**2 - 17*f**3 = 0. Calculate f.
-2
Let a(p) be the third derivative of p**9/272160 - p**8/22680 + p**7/4536 - p**6/1620 + p**5/30 - p**2. Let s(k) be the third derivative of a(k). Factor s(f).
2*(f - 2)*(f - 1)**2/9
Suppose 2*g = p + g - 3, 2*p - 41 = -5*g. Let v be p/6*(-3)/(-2). Factor -6*s**2 - 2 + s**2 - 9*s - 2*s**v.
-(s + 1)*(7*s + 2)
Let n(b) be the first derivative of -b**5/25 + 7*b**4/10 - 49*b**3/15 - 26. Factor n(p).
-p**2*(p - 7)**2/5
Let h be 9/27 - 13/40. Let z(b) be the third derivative of 0 - b**2 + 1/240*b**6 + 0*b - h*b**5 + 0*b**4 + 0*b**3. Factor z(u).
u**2*(u - 1)/2
Let t(z) be the first derivative of -z**6/1620 - z**5/180 - z**4/54 + 2*z**3/3 + 1. Let a(s) be the third derivative of t(s). Solve a(r) = 0 for r.
-2, -1
Suppose -8/3 - 10/3*m**2 + 16/3*m + 2/3*m**3 = 0. Calculate m.
1, 2
Suppose 3*h + 2*h = 25. Let k(q) be the third derivative of 0*q**3 + 2*q**2 + 0*q + 0 - 1/48*q**4 + 1/48*q**h. Determine m so that k(m) = 0.
0, 2/5
Let n(a) = 12*a**2 - 9*a + 0*a**2 - a**3 + 22*a. Let f be n(13). Solve f + 2/5*z**2 - 2*z**4 - 2/5*z + 4/5*z**5 + 6/5*z**3 = 0 for z.
-1/2, 0, 1
Let l(s) be the second derivative of 0*s**2 + 0 + 1/42*s**7 + 0*s**3 - 1/20*s**5 + 0*s**4 + s + 0*s**6. Let l(o) = 0. Calculate o.
-1, 0, 1
Let r(p) = 4*p**4 - 5*p**3 - 2*p**2. Suppose 8 = 6*w - 2*w. Let n(a) = -10*a**2 + a**2 + 17*a**4 - 21*a**3 + 0*a**w. Let f(m) = 6*n(m) - 26*r(m). Factor f(t).
-2*t**2*(t - 1)**2
Factor -4/7 + 2/7*a**2 + 2/7*a.
2*(a - 1)*(a + 2)/7
Let y = 145 + -142. Let v = -61/2 - -31. Determine l, given that -1/4*l**y + 0*l**2 + v + 3/4*l = 0.
-1, 2
Let o(t) = -t + 7. Let q be o(5). Let 0*h - 8*h**4 + 4*h**5 - 5*h + 8*h**q + h = 0. What is h?
-1, 0, 1
Let k(j) be the second derivative of 0*j**3 + 1/16*j**4 + 1/40*j**5 + 0 - 2*j + 3/2*j**2. Let g(o) be the first derivative of k(o). What is n in g(n) = 0?
-1, 0
Let r(l) be the third derivative of 0*l + 1/150*l**5 + 2/15*l**3 - 1/20*l**4 - 4*l**2 + 0. Factor r(g).
2*(g - 2)*(g - 1)/5
Let n(w) = 8*w**3 + 4*w**2 + 8*w + 12. Let x(r) = -7*r**3 - 5*r**2 - 9*r - 11. Let z(y) = 5*n(y) + 6*x(y). Factor z(v).
-2*(v + 1)**2*(v + 3)
Let l(a) = a**4 + a**3 + a**2 - a. Let x(r) = -329*r**4 + 643*r**3 - 313*r**2 - 27*r + 16. Let s(q) = -5*l(q) - x(q). Find z such that s(z) = 0.
-2/9, 2/9, 1
Factor -2*r**5 + 10*r**4 - 8*r**3 + 17*r**3 + 4*r**5 + 8*r**2 + 7*r**3.
2*r**2*(r + 1)*(r + 2)**2
Let z(b) = b + 5. Let u be z(0). Let h(r) = r**3 - 7*r**2 - 13*r. Let g(v) = -2*v**3 + 10*v**2 + 20*v. Let y(a) = u*g(a) + 8*h(a). Solve y(o) = 0.
-2, -1, 0
Let b be (4/((-1)/(-1)))/1. Let h(n) = n**2 - 3*n - 2. Let d be h(b). Factor k + 2*k**d - k.
2*k**2
Let -20*j**4 + 4*j + 25 - 25 - 28*j**2 + 44*j**3 = 0. Calculate j.
0, 1/5, 1
Let a(r) = r**2 + 14*r + 3. Let o be a(-15). Let v = o - 18. Determine d, given that v*d + 4*d**3 - 1/2*d**2 - 8*d**4 + 0 = 0.
0, 1/4
Factor 1/3*h**5 + 0*h + 0*h**4 + 0 + 0*h**2 - 1/3*h**3.
h**3*(h - 1)*(h + 1)/3
Let a(l) = l**5 + 40*l**4 + 69*l**3 + 26*l**2 + 4*l. Let g(t) = -15*t**5 - 560*t**4 - 965*t**3 - 365*t**2 - 55*t. Let w(i) = -55*a(i) - 4*g(i). Solve w(m) = 0.
-6, -1, 0
Let -l**2 + 4/3 - 1/3*l**3 + 0*l = 0. What is l?
-2, 1
Let q(t) be the second derivative of -t**5/150 - t**4/30 - 2*t**3/45 + 10*t. Factor q(f).
-2*f*(f + 1)*(f + 2)/15
Let k = -246 - -57. Let d = k - -1329/7. Factor -4/7*h + d*h**3 + 2/7*h**2 + 0.
2*h*(h + 1)*(3*h - 2)/7
Let j(n) be the first derivative of n**4/2 + 2*n**3/3 - n**2 - 2*n - 7. What is z in j(z) = 0?
-1, 1
Let p(r) be the second derivative of r**5/20 - 7*r**4/48 + r**3/12 + r**2/8 - 9*r. Factor p(n).
(n - 1)**2*(4*n + 1)/4
Let 0 - 2/3*k**2 - 8/3*k - 1/3*k**4 + 5/3*k**3 = 0. What is k?
-1, 0, 2, 4
Find m, given that 8/5*m**2 + 0*m + 0 - 4/5*m**3 - 4/5*m**4 = 0.
-2, 0, 1
Let y(c) be the first derivative of -1/15*c**6 + 0*c**2 + 0*c**4 + 0*c**3 - 1/5*c**5 - 1 + c + 1/21*c**7. Let j(o) be the first derivative of y(o). Factor j(g).
2*g**3*(g - 2)*(g + 1)
Let v(t) = -3*t**4 + 7*t**3 + 3*t**2 + 3*t - 5. Let r(a) = -a**2 - a**2 - 2*a**4 + 12*a - 4 + 4*a**2 + 6*a**3 - 10*a. Let m(x) = -5*r(x) + 4*v(x). Factor m(y).
-2*y*(y - 1)*(y + 1)**2
Suppose -4*g - 8 = -8*g. Suppose -g*i = -0*i + h - 8, 4*i - 4*h - 4 = 0. Factor 2*c**2 + 0 - 1/3*c - 3*c**i + 4/3*c**4.
c*(c - 1)**2*(4*c - 1)/3
Let c(u) be the first derivative of u**7/210 - u**5/30 + u**3/6 - 3*u**2/2 - 1. Let b(h) be the second derivative of c(h). Suppose b(p) = 0. Calculate p.
-1, 1
Let g(u) be the first derivative of -27*u**2 + 2 - 6*u**3 - 54*u - 1/2*u**4. What is v in g(v) = 0?
-3
Let f = -30 + 24. Let j(x) = 2*x**2 - 6*x + 1 + 13*x - 2*x**3 + 4*x. Let n(c) = -c**3 + 3*c**2 + 10*c + 2. Let o(s) = f*n(s) + 4*j(s). Factor o(t).
-2*(t + 1)*(t + 2)**2
Let h(i) = -13*i**2 + 4*i + 2. Let z(q) be the third derivative of q**5/60 - q**4/24 + q**3/6 - 5*q**2. Let f(c) = -h(c) + 2*z(c). What is w in f(w) = 0?
0, 2/5
Factor 0 + 1/6*p**2 - 1/6*p.
p*(p - 1)/6
Let d(w) be the third derivative of -w**9/1890 + w**8/1120 + w**7/1260 + w**4/12 - 6*w**2. Let c(p) be the second derivative of d(p). Factor c(v).
-2*v**2*(v - 1)*(4*v + 1)
Let f(v) be the first derivative of -v**4/4 - v**2/2 - 2*v + 5. Let x(p) = p + 1. Let t(d) = f(d) + 2*x(d). Factor t(n).
-n*(n - 1)*(n + 1)
Let y(z) be the third derivative of -z**8/1680 - z**7/350 - z**6/300 - 29*z**2. Factor y(c).
-c**3*(c + 1)*(c + 2)/5
Let m be 12/20*1*5/6. Solve 1/4 + 1/2*i**5 + 0*i - i**2 + 3/4*i**4 - m*i**3 = 0 for i.
-1, 1/2, 1
Factor 0*s**2 + 4/7*s - 4/7*s**3 + 0.
-4*s*(s - 1)*(s + 1)/7
Let y(m) be the third derivative of m**6/240 + m**5/120 - 5*m**4/48 + m**3/4 - m**2. Factor y(p).
(p - 1)**2*(p + 3)/2
Suppose 4*w = 6*w - 6. Let r(a) be the third derivative of 0*a**w + 1/300*a**6 + 0*a + 0*a**4 + 0*a**5 - 3*a**2 + 0. Factor r(b).
2*b**3/5
Let u(y) be the third derivative of -y**8/504 + y**7/315 + y**6/90 - y**5/45 - y**4/36 + y**3/9 + 8*y**2. Factor u(z).
-2*(z - 1)**3*(z + 1)**2/3
Let q = -4/33 + 5/11. Find m, given t