e second derivative of -q**5/70 + 3*q**4/14 - 2*q**3/3 - 63*q. Find n, given that o(n) = 0.
0, 2, 7
Let p(h) = -7*h**2 + 9*h - 10. Let c(o) be the first derivative of 9*o**3 - 18*o**2 + 39*o - 8. Let d(i) = 4*c(i) + 15*p(i). Factor d(q).
3*(q - 2)*(q - 1)
Let w(z) be the first derivative of z**4/4 + 7*z**3/3 + 5*z**2/2 - 4*z + 6. Let u be w(-6). Factor -3/2*y**u + 0*y**3 + 0 - y + 1/2*y**4.
y*(y - 2)*(y + 1)**2/2
Solve 6*d**2 - 2*d**3 - 4*d**3 + 2*d**3 + d**3 = 0.
0, 2
Let w be (-4 - -6) + 5*1. Let j = w + -3. Factor -j + 4 + s + s**2.
s*(s + 1)
Let o = 574 + -571. Factor -3/5*i**5 + 0*i - 3/5*i**4 + 6/5*i**o + 0 + 0*i**2.
-3*i**3*(i - 1)*(i + 2)/5
Let p(z) = 9*z**2 - 50*z - 20. Let n be p(6). Factor 0*h + 0*h**n + 0*h**3 + 1/4*h**5 + 0*h**2 + 0.
h**5/4
Factor 0*j + 0 + 4/5*j**3 - 2/5*j**2 - 2/5*j**4.
-2*j**2*(j - 1)**2/5
Let b(n) be the third derivative of n**5/180 + 4*n**2. Factor b(t).
t**2/3
Let t(s) be the first derivative of -s**5/25 - 7*s**4/20 + s**3/15 + 7*s**2/10 - 6. Factor t(u).
-u*(u - 1)*(u + 1)*(u + 7)/5
Let n be (-14)/(-6) + 1/(-3). Suppose -1 - 25*v**n + 48*v**2 - 22*v**2 = 0. What is v?
-1, 1
Let x = -157 - -161. Let o(u) be the first derivative of x + 0*u**2 + 0*u - 1/10*u**4 - 4/15*u**3. Solve o(z) = 0.
-2, 0
Let z(g) = -3*g**3 + 5*g**2 + 3*g - 1. Suppose i - 5 = -1. Let m(a) = 3 - 5 + 7*a**3 + i - 7*a - 11*a**2. Let d(r) = 4*m(r) + 9*z(r). Factor d(h).
(h - 1)*(h + 1)**2
Let o = 1003/2 - 494. Solve 1/2*l**3 + 9/2 + o*l + 7/2*l**2 = 0 for l.
-3, -1
Let g(v) be the second derivative of -v**4/126 - 2*v**3/63 + 8*v**2/21 - 17*v. What is s in g(s) = 0?
-4, 2
Let z be (-1)/3*(1 - 1). Determine s, given that -1/3*s**2 + 1/3*s**3 + 0 + z*s = 0.
0, 1
Let n be 4/(-2 + (-3)/(-1)). Solve -2*r**2 - 4*r + n*r + 4 - 2 = 0 for r.
-1, 1
Let g = 24 + -21. Let w(n) be the first derivative of 10/3*n**3 + 0*n - n**2 - 32/3*n**6 - 64/5*n**5 + g*n**4 + 2. Suppose w(d) = 0. Calculate d.
-1, -1/2, 0, 1/4
Let w = -386/3 - -134. Factor 1/3*s**2 + 8/3*s + w.
(s + 4)**2/3
Let a(r) be the third derivative of -r**8/840 + r**7/525 + r**6/150 - r**5/75 - r**4/60 + r**3/15 - 2*r**2. Solve a(y) = 0.
-1, 1
Let w = -20 + 20. Let n(z) be the third derivative of 0 + 0*z**5 + z**2 + 1/240*z**6 + w*z - 1/48*z**4 + 0*z**3. Factor n(j).
j*(j - 1)*(j + 1)/2
Factor 25/4 + 45/4*u + 15/4*u**2 - 5/4*u**3.
-5*(u - 5)*(u + 1)**2/4
Let m(g) be the third derivative of 1/150*g**5 + 2*g**2 + 4/15*g**3 + 0*g + 0 + 1/15*g**4. Determine l so that m(l) = 0.
-2
What is a in 4*a**4 + 0*a**3 + 8*a**2 - 4*a - 14*a**3 + 6*a**2 = 0?
0, 1/2, 1, 2
Suppose 0*a**5 + 27*a**4 - 19*a**4 - 4*a**5 - 8*a**2 + 4*a = 0. Calculate a.
-1, 0, 1
Let k be 36/20 - 3/(-15). Let i(r) be the second derivative of -3/10*r**3 - 11/100*r**5 + 1/4*r**4 + 0 + 1/50*r**6 + 1/5*r**k + 2*r. What is z in i(z) = 0?
2/3, 1
Suppose 37 = 15*f - 8. Find o such that 4/5*o**f + 4/5*o + 0 - 8/5*o**2 = 0.
0, 1
Let j = 1486259/80 + -18578. Let z = j + 1/80. Solve 0*h + z*h**2 - 1/4 = 0.
-1, 1
Suppose 55 = -4*p - 5*r, r + 5 + 18 = -2*p. Let b be ((-4)/p)/(6/3). Let b*g**5 + 0 - 1/5*g**4 + 0*g**3 + 0*g + 0*g**2 = 0. Calculate g.
0, 1
Let o(i) = -9*i**3 - 6*i**2 + 15*i. Let r(d) = -d**2 + d. Suppose 3*g + g - 48 = 0. Let w(x) = g*r(x) - o(x). Factor w(h).
3*h*(h - 1)*(3*h + 1)
Let v(j) be the third derivative of j**8/630 + j**7/225 - j**6/450 - 4*j**5/225 - j**4/90 + j**3/45 + 12*j**2. Solve v(f) = 0 for f.
-1, 1/4, 1
Factor 12*n**4 - 2 - 18*n**5 + 22*n**5 + 2 + 4*n**2 + 12*n**3.
4*n**2*(n + 1)**3
Let v(k) be the first derivative of k**6/6 + k**5/5 - k**4/2 - 2*k**3/3 + k**2/2 + k + 7. Factor v(t).
(t - 1)**2*(t + 1)**3
Let p(b) be the second derivative of b**7/7560 - b**6/540 + b**5/90 - b**4/4 + 2*b. Let g(j) be the third derivative of p(j). Let g(n) = 0. What is n?
2
Let q be (-2 + 1)/((-56)/32). Factor -6/7*v**3 + 0 + 2*v**4 + q*v - 6/7*v**2 - 6/7*v**5.
-2*v*(v - 1)**3*(3*v + 2)/7
Let c(o) = 4*o**2 - 10. Let j(p) be the third derivative of -p**5/60 + p**4/24 + p**3/6 + 5*p**2. Let w(n) = c(n) + 6*j(n). What is h in w(h) = 0?
1, 2
Let m(y) = 10*y**5 - 10*y**4 - 36*y**3 - 4*y**2 + 94*y + 40. Let h(j) = -2*j**5 + 2*j**4 + 7*j**3 + j**2 - 19*j - 8. Let c(p) = 14*h(p) + 3*m(p). Factor c(n).
2*(n - 2)**2*(n + 1)**3
Suppose -5*w + 6 = -14. Let q(s) = s**2 - 2*s - 5. Let t be q(4). Factor 1 + 7*d**4 + 0*d**w - 3*d**3 + 3*d - 5*d**2 - t*d**4.
(d - 1)**2*(d + 1)*(4*d + 1)
Let u = 0 - -4. Suppose i + 3*n = 20, -4 = -4*i + u*n + 12. Determine s, given that s**2 - 7*s**3 - 3*s**5 + i*s**5 + 3*s**4 - 4*s**2 + 2*s = 0.
-1, 0, 2/5, 1
Let f(d) be the second derivative of 2*d**7/105 - d**6/30 - 2*d**2 + 4*d. Let m(k) be the first derivative of f(k). Suppose m(s) = 0. Calculate s.
0, 1
Let p(a) be the second derivative of -50*a**7/63 + 32*a**6/9 - 8*a**5/5 - 64*a**4/9 - 32*a**3/9 - 5*a. Determine g, given that p(g) = 0.
-2/5, 0, 2
Suppose 2*w - 83 = -17. Solve 15*f + 24 + w*f + 44*f**2 + 12*f**3 - 8 + 0*f = 0 for f.
-2, -1, -2/3
Let p**2 + 1/6*p + 2/3*p**4 + 0 + 3/2*p**3 = 0. What is p?
-1, -1/4, 0
Factor -3/2 - 3/4*a**2 - 9/4*a.
-3*(a + 1)*(a + 2)/4
Let f(o) = 8*o - 3. Let i be f(1). Find y such that 2*y**4 + 0 + 2/3*y**i + 2*y**3 + 0*y + 2/3*y**2 = 0.
-1, 0
Determine f so that -14/9*f**3 - 4/9*f - 2*f**2 + 0 = 0.
-1, -2/7, 0
Let r = 9/4 - 23/12. Let g(w) be the second derivative of 0*w**2 - 1/4*w**4 + 1/10*w**6 - 3*w + r*w**3 + 0 - 1/10*w**5. Factor g(z).
z*(z - 1)*(z + 1)*(3*z - 2)
Let b be (-153)/119*(-4)/18. Suppose 4/7*h**3 + b*h**4 + 0 - 6/7*h**2 + 0*h = 0. What is h?
-3, 0, 1
Let i be (120/180)/(2*1/4). What is n in -4/3*n - i*n**2 + 8/3 = 0?
-2, 1
Factor b**3 + 0*b**3 + 4*b + 2 + b - 8*b.
(b - 1)**2*(b + 2)
Let p = -47/4 + 361/28. Factor 2/7*g**4 + 10/7*g**2 + 0 - p*g**3 - 4/7*g.
2*g*(g - 2)*(g - 1)**2/7
Let v(y) be the second derivative of -5*y**7/42 - y**6/3 + 2*y**5 + 20*y**4/3 - 40*y**3/3 - 80*y**2 - 11*y + 1. Factor v(n).
-5*(n - 2)**2*(n + 2)**3
Let v be 7/(-42) - 7/(-6). Let r = v - 3/5. Factor 0 + 0*t + r*t**2.
2*t**2/5
Let a(n) be the second derivative of 1/2*n**2 + 0*n**3 + 0 + 1/270*n**5 - 3*n + 0*n**4. Let d(j) be the first derivative of a(j). Suppose d(b) = 0. What is b?
0
Let n(f) be the third derivative of f**7/70 - f**6/20 - 3*f**5/20 + 24*f**2. Suppose n(c) = 0. Calculate c.
-1, 0, 3
Let z(x) be the first derivative of -x**6/15 - 4*x**5/15 - 7*x**4/30 + 8*x**3/45 + 4*x**2/15 - 24. Solve z(r) = 0.
-2, -1, 0, 2/3
Let m be 1 + 32/14 + -3. Factor 0 + 0*k**3 + 4/7*k + 6/7*k**2 - m*k**4.
-2*k*(k - 2)*(k + 1)**2/7
Factor -4*j - 7*j**3 + 0*j**3 + 12*j**2 + 5*j + 3*j.
-j*(j - 2)*(7*j + 2)
Let s(j) be the second derivative of -2*j + 1/120*j**6 - 1/24*j**4 + 1/8*j**2 + 0 + 0*j**5 + 0*j**3. Find b such that s(b) = 0.
-1, 1
Let o(i) be the second derivative of -i**6/120 + i**4/24 - 3*i**2/2 + 2*i. Let v(f) be the first derivative of o(f). Suppose v(m) = 0. What is m?
-1, 0, 1
Let a = 178 - 533/3. Factor -1/3*d - 2/3*d**4 + a*d**5 + 0*d**3 + 2/3*d**2 + 0.
d*(d - 1)**3*(d + 1)/3
Let z(i) = i - 1. Let h(x) = -x + 10. Let m be h(11). Let r(t) = -2*t**2 - 7*t + 9. Let p(j) = m*r(j) - 5*z(j). Factor p(l).
2*(l - 1)*(l + 2)
Let w = 1243123/45 + -27621. Let k = w + -32/9. Factor 0 + 4/5*z + k*z**2.
2*z*(z + 2)/5
Let f(x) = -2*x - 9. Let d be f(-6). Let -b**3 - d*b**2 + 0*b**2 + 4*b**3 = 0. Calculate b.
0, 1
Let q(v) = -v**3 + 9*v**2 - 9*v + 12. Let w be q(8). Factor 6*l**4 - 10*l**w + l**3 - l**2 + 5*l**4 - l**5.
-l**2*(l - 1)**2*(l + 1)
Factor -4/3 + 4/3*n**2 - 4/9*n**3 + 4/9*n.
-4*(n - 3)*(n - 1)*(n + 1)/9
Let n = 37/30 - 5/6. Determine p, given that n*p + 2/5*p**2 + 0 = 0.
-1, 0
Let o(l) be the first derivative of 0*l**3 + 0*l + 1/6*l**4 - 3 + 0*l**2. Find a, given that o(a) = 0.
0
Let g(n) be the second derivative of -1/10*n**6 + 1/2*n**3 + 0*n**2 - 3*n + 1/4*n**4 - 3/20*n**5 + 0. Factor g(c).
-3*c*(c - 1)*(c + 1)**2
Let i(o) be the third derivative of 0*o + 1/210*o**7 + 0*o**4 + 0*o**3 + 1/120*o**6 + 0 - 2*o**2 + 1/1008*o**8 + 1/180*o**5. Factor i(s).
s**2*(s + 1)**3/3
Suppose 0*r + 97 = 4*r + 3*j, -9 = -3*j. Suppose 0*d - r = -d. Factor 18*p + 5*p**2 - d*p - 2*p**3 + p**2.
-2*p*(p - 2)*(p - 1)
Let q = 2197/12 - 183. Let t(w) be the third derivative of 0*w + 1/120*w**7 - q*w**3 + 3/32*w**4 + 0 - 1/48*w**5 - 3/160*w**6 - 2*w**2. S