1)**2/7
Let n(k) be the third derivative of -k**10/302400 + k**8/40320 + k**5/60 + 4*k**2. Let w(h) be the third derivative of n(h). Factor w(r).
-r**2*(r - 1)*(r + 1)/2
Factor 4/13*n**2 - 4/13*n**4 - 2/13*n + 0*n**3 + 0 + 2/13*n**5.
2*n*(n - 1)**3*(n + 1)/13
Let w(u) be the second derivative of 2/3*u**2 + 0 - 2/63*u**7 - 1/15*u**6 - 5*u + 13/18*u**4 + 1/6*u**5 + u**3. Solve w(s) = 0.
-1, -1/2, 2
Let l(f) be the second derivative of -2/3*f**3 + 0 + 1/15*f**6 - f**2 + 1/5*f**5 + 0*f**4 - 2*f. Suppose l(j) = 0. Calculate j.
-1, 1
Let h(q) be the third derivative of q**5/105 - q**4/42 - 4*q**3/7 - 14*q**2. Factor h(n).
4*(n - 3)*(n + 2)/7
Let s(f) = f**4 - 29*f**3 - 72*f**2 - 67*f - 11. Let i(n) = -10*n**3 - 24*n**2 - 22*n - 4. Let r(c) = 7*i(c) - 2*s(c). Suppose r(j) = 0. Calculate j.
-3, -1
Solve 7*o**2 + 50*o - 2*o**2 + 3 + 122 = 0 for o.
-5
Factor 0*z - 2/5*z**3 + 0 + 4/5*z**2.
-2*z**2*(z - 2)/5
Let l(n) be the first derivative of 9*n**8/560 - 3*n**7/280 - n**6/24 - n**5/40 - 4*n**3/3 + 3. Let q(t) be the third derivative of l(t). Factor q(w).
3*w*(w - 1)*(3*w + 1)**2
Let c(v) = -v**2 - 5*v - 4. Suppose -5*j - 31 = 5*y - y, -5*y = 2*j + 26. Let w be c(j). Determine k, given that -3*k**3 + 2 + 2*k**5 + w*k - k**3 - 2 = 0.
-1, 0, 1
Let p(y) be the third derivative of y**7/7560 + y**6/1080 + 3*y**4/8 + 3*y**2. Let h(a) be the second derivative of p(a). Find m such that h(m) = 0.
-2, 0
Let n(s) be the first derivative of s**6/2 - 6*s**5/5 - 3*s**4/4 + 2*s**3 + 6. Factor n(c).
3*c**2*(c - 2)*(c - 1)*(c + 1)
Let i = 72/35 + -13/7. Suppose -1/5*v + 0*v**2 + i*v**3 + 0 = 0. Calculate v.
-1, 0, 1
Let z be (-3)/(-7) + 300/35. Find p such that 3*p**2 + 0 + 0 - z*p - 5 - 1 + 3*p**4 + 9*p**3 = 0.
-2, -1, 1
Let u(l) be the third derivative of 0*l**3 + 7*l**2 + 0*l - 1/105*l**7 - 1/60*l**6 + 0 + 1/6*l**5 - 1/4*l**4. Factor u(x).
-2*x*(x - 1)**2*(x + 3)
Find q such that 2/5*q**3 + 6/5*q + 0 + 8/5*q**2 = 0.
-3, -1, 0
Let b = -4 + 4. Let l be ((-3)/(-6) - 1)*b. Let l*p + 0*p - 2*p - 2*p**5 + 4*p**3 = 0. What is p?
-1, 0, 1
Let u = -435 + 437. What is z in 0 - 2/9*z**5 + 0*z + 4/9*z**u - 10/9*z**3 + 8/9*z**4 = 0?
0, 1, 2
Let v(h) be the third derivative of -5*h**8/42 + 22*h**7/105 + 8*h**6/15 + 4*h**5/15 + 24*h**2 - 2*h. Solve v(y) = 0 for y.
-1/2, -2/5, 0, 2
Let s(h) be the second derivative of h**4/3 + 2*h**3 - 4*h + 3. Factor s(v).
4*v*(v + 3)
Suppose 8 = -2*j + 14. Suppose -1/2*k**4 + 0 + 1/2*k**5 + 0*k**2 + 0*k**j + 0*k = 0. Calculate k.
0, 1
Let x(w) be the first derivative of 4*w**5 + 21/2*w**4 - 4*w**2 + 0*w**3 + 0*w - 2. Find a such that x(a) = 0.
-2, -1/2, 0, 2/5
Let g = 14 + -9. Suppose -6*d + d - 20 = -5*y, 3*d = g*y - 18. Suppose -2*v - y + 3 - 2*v**3 + 0 + 4*v**2 = 0. Calculate v.
0, 1
Suppose -4*b = -p - 20, -5*b + 20 = 3*p - b. Factor 0*w**2 + 0 + p*w - 1/4*w**4 - 1/4*w**3.
-w**3*(w + 1)/4
Let w(c) be the third derivative of c**7/210 + c**6/15 + 13*c**5/60 + c**4/4 + 8*c**2 + 2. Factor w(y).
y*(y + 1)**2*(y + 6)
Factor 18/13*r**2 - 4/13*r + 0 - 14/13*r**3.
-2*r*(r - 1)*(7*r - 2)/13
Let r be ((-3 - -3)/(-4))/(-1). Suppose 3*m - 4 = m. Factor -b**m + 2*b**3 + 9*b**2 - 12*b**3 - 2*b + r*b**3 + 4*b**4.
2*b*(b - 1)**2*(2*b - 1)
Let a = -2/15535 - -3340039/108745. Let r = 31 - a. Factor 2/7*z**5 + 0 + r*z + 0*z**2 - 4/7*z**3 + 0*z**4.
2*z*(z - 1)**2*(z + 1)**2/7
Let w be 8/(-20) - 44/(-60). Let p(a) be the second derivative of 0*a**2 - 1/3*a**3 + 0 - 1/10*a**5 + w*a**4 - 2*a. Factor p(q).
-2*q*(q - 1)**2
Let f(h) be the second derivative of -h**2 - 4*h + 1/2*h**3 + 0 + 5/12*h**4. Suppose f(y) = 0. Calculate y.
-1, 2/5
Let b(h) be the second derivative of -3*h**5/5 - 5*h**4/3 + 4*h**3/3 - 5*h. Determine z so that b(z) = 0.
-2, 0, 1/3
Let v(p) be the second derivative of p**5/12 - p**4/2 + 2*p**3/3 + 4*p**2/3 - 6*p. Find w, given that v(w) = 0.
-2/5, 2
Let z(k) = -k**2 + 5*k - 1. Let v be z(4). Factor -18*s**2 - 3*s**4 + s**3 + 0*s**3 - 3 - 13*s**v - 12*s.
-3*(s + 1)**4
Let h(x) be the second derivative of 4*x - 1/6*x**3 - 1/12*x**4 + 0 + 0*x**2. Factor h(j).
-j*(j + 1)
Find j such that -10*j**3 - 3*j**5 - 2*j**5 + 15*j**4 - 2*j**4 + 2*j**4 = 0.
0, 1, 2
Let k(t) be the second derivative of -t**6/15 + 2*t**5/5 - t**4 + 4*t**3/3 - t**2 + 10*t. Factor k(r).
-2*(r - 1)**4
Let m(w) = w + 6. Suppose 0 = -5*l + 8 - 38. Let z be m(l). Factor -5/6*k**2 - 2/3*k**3 + z - 1/6*k.
-k*(k + 1)*(4*k + 1)/6
Let x(c) be the third derivative of -2*c**2 + 0 + 0*c**3 + 0*c + 0*c**5 + 0*c**4 + 1/240*c**6 - 1/420*c**7. Determine t, given that x(t) = 0.
0, 1
Factor 0*d - 40/13*d**2 - 32/13*d**3 + 0 + 2/13*d**5 - 2/13*d**4.
2*d**2*(d - 5)*(d + 2)**2/13
Solve 0 - 1/6*v**3 + 1/6*v**2 + 0*v = 0.
0, 1
Let d(k) be the first derivative of -3/2*k**4 + 0*k + k**3 + 1 + 3/5*k**5 + 0*k**2. What is r in d(r) = 0?
0, 1
Let f(u) be the second derivative of -u**5/40 - 5*u**4/24 - u**3/3 - 15*u. Determine c so that f(c) = 0.
-4, -1, 0
Factor 200*v**2 - 5*v**3 - v - 215*v**2 + v.
-5*v**2*(v + 3)
Let f be (-12)/(-10)*15/9. Let y(x) be the second derivative of -f*x + 0*x**2 + 1/54*x**4 + 2/27*x**3 + 0. Solve y(k) = 0 for k.
-2, 0
Suppose -4*h + 8 = -8. Let i = h - 4. Factor 0*a - 1/4*a**3 + i*a**2 + 0.
-a**3/4
Let f(c) be the second derivative of 25*c**7/126 - c**6/18 - 4*c**5/15 - c**4/9 + 2*c + 14. Factor f(d).
d**2*(d - 1)*(5*d + 2)**2/3
Factor p**4 + 4*p**2 + 5*p**3 + 150*p - 150*p.
p**2*(p + 1)*(p + 4)
Let u(t) be the second derivative of t**5/60 - t**4/6 + 2*t**3/3 - 4*t**2/3 - 15*t. Factor u(v).
(v - 2)**3/3
Suppose 0 = -5*t + 24 + 6. Let a = -2 + t. Factor -28/9*j**3 + 32/9*j**2 + 4/9 - 2/9*j**5 - 2*j + 4/3*j**a.
-2*(j - 2)*(j - 1)**4/9
Factor p**2 + 0*p**2 + 1 - p**4 - 1.
-p**2*(p - 1)*(p + 1)
Let 1/7 + 1/7*t**2 - 2/7*t = 0. What is t?
1
Find p, given that -1/5*p**4 + 3/5*p**3 - 2/5*p**2 + 0*p + 0 = 0.
0, 1, 2
Let r(l) be the second derivative of -1/40*l**6 + 1/12*l**4 - 3*l + 0 + 0*l**3 + l**2 - 1/60*l**5. Let j(v) be the first derivative of r(v). Factor j(u).
-u*(u + 1)*(3*u - 2)
Suppose 2*h - 9 = h. Let k = -9 + h. Solve 0 + k*o + 0*o**2 + 4/5*o**4 + 2/5*o**5 + 2/5*o**3 = 0 for o.
-1, 0
Let y = -1139316 - -7990447/7. Let c = 2181 - y. Factor -c*f**3 - 4/7*f + 2*f**4 + 0 + 22/7*f**2.
2*f*(f - 1)**2*(7*f - 2)/7
Let z be ((-1)/(-3))/((-2)/(-42)). Find i such that -2*i + z*i**3 - i**2 + i**3 + 7*i**2 = 0.
-1, 0, 1/4
Suppose 1/2*t**4 + 0*t**2 - 1/2 + t**3 - t = 0. What is t?
-1, 1
Suppose -12*f + 9*f + 6 = 0. Let r(h) be the third derivative of 0*h + 0*h**4 + 0 + h**f - 1/120*h**5 + 1/12*h**3. Factor r(n).
-(n - 1)*(n + 1)/2
Let l(a) be the third derivative of a**8/672 + a**7/420 - a**6/40 - a**5/30 + a**4/6 + 35*a**2. Find w, given that l(w) = 0.
-2, 0, 1, 2
Let a(c) be the third derivative of 0*c - 2*c**2 - 1/120*c**6 + 1/24*c**5 + 0 + 1/12*c**4 + 1/3*c**3. Let j(v) be the first derivative of a(v). Factor j(k).
-(k - 2)*(3*k + 1)
Let p(v) be the third derivative of -v**6/120 + v**5/15 - 33*v**2. Factor p(t).
-t**2*(t - 4)
Let v(g) be the first derivative of -6 + 2*g - 1/3*g**3 + 1/2*g**2. Factor v(b).
-(b - 2)*(b + 1)
Suppose -3*y**4 + 3*y**3 + y**4 + 3*y**2 + 16*y**5 - y**4 - 19*y**5 = 0. What is y?
-1, 0, 1
Suppose 12 = -q + 7*q. Let c(r) be the second derivative of 1/6*r**3 + 0 + r**q - 1/12*r**4 + 2*r. Solve c(k) = 0 for k.
-1, 2
Let d = -3 + 5. Factor -2*c + 2*c**2 - c**2 - 2*c**d.
-c*(c + 2)
Let k be 0 + -5*1/(-1). Suppose 4*f - 5*m = -f + 25, k*m = -f + 5. Factor -s**4 + 0 - 3/2*s**3 - s**2 - 1/4*s - 1/4*s**f.
-s*(s + 1)**4/4
Let v(q) = 8*q**2 - 35*q + 27. Let w(d) = 12*d**2 - 52*d + 40. Let k(p) = 8*v(p) - 5*w(p). What is i in k(i) = 0?
1, 4
Let z(q) be the first derivative of -q**3/15 - 2*q**2/5 - 4*q/5 + 6. Determine p so that z(p) = 0.
-2
Let o(d) be the first derivative of 4*d**3/3 - 6*d**2 + 8*d - 65. Factor o(w).
4*(w - 2)*(w - 1)
Let i(d) be the second derivative of -d**6/10 + d**4/2 - 3*d**2/2 + 13*d. Find p such that i(p) = 0.
-1, 1
Let b(d) be the third derivative of -d**8/168 - 3*d**7/140 + d**6/120 + 3*d**5/40 + d**4/24 + 9*d**2. Solve b(t) = 0 for t.
-2, -1, -1/4, 0, 1
Suppose 5*o - 12 = o. Let p(n) be the first derivative of -1/16*n**4 + 1/6*n**o - 1 - 1/8*n**2 + 0*n. Solve p(t) = 0 for t.
0, 1
Suppose -2 = 6*c - c - 4*h, -3*c + 5*h = 9. Factor -c*y**3 - 2*y + 