 be the second derivative of -h**6/10 + 3*h**5/5 - 3*h**4/2 + 2*h**3 - 3*h**2/2 + 4*h. Factor j(g).
-3*(g - 1)**4
Factor -1/4*k**2 - 3/4*k - 1/2.
-(k + 1)*(k + 2)/4
Let y(d) be the third derivative of 0*d - 5/56*d**4 + 7*d**2 - 1/20*d**5 - 1/14*d**3 - 3/280*d**6 + 0. Factor y(u).
-3*(u + 1)**2*(3*u + 1)/7
Let h(t) be the second derivative of 5*t - 1/42*t**4 + 1/7*t**2 + 0 + 0*t**3. Factor h(v).
-2*(v - 1)*(v + 1)/7
Suppose -7 = -x - 3. Factor 4*d - x*d - 2*d - d**2.
-d*(d + 2)
Suppose 4 = 3*h - 8. Let q = h + -4. Find j, given that -j**2 - 1 - 3 + 4*j + q*j**2 = 0.
2
Determine y, given that 8*y + 12 + 4/3*y**2 = 0.
-3
Let x(w) be the first derivative of -w**7/350 - 3*w**6/200 - 3*w**5/100 - w**4/40 - 2*w**2 - 3. Let f(v) be the second derivative of x(v). Factor f(s).
-3*s*(s + 1)**3/5
Let z(o) be the third derivative of -o**6/420 - 2*o**5/105 - o**4/84 + 2*o**3/7 - 13*o**2. Factor z(a).
-2*(a - 1)*(a + 2)*(a + 3)/7
Let u = -1 - -2. Suppose -u + 5 = l. Let s**4 + 0*s**3 - 2*s**2 + s**l + 2*s - 2*s**3 = 0. Calculate s.
-1, 0, 1
Suppose -9/7 - 3/7*o**3 + 9/7*o**2 + 3/7*o = 0. Calculate o.
-1, 1, 3
Suppose 273*z = 274*z - 2. Solve 1/3*a**z + 0 + a = 0 for a.
-3, 0
Factor 4*h**3 + 4 - 3*h - 3*h - 10*h**2 - 3*h**3 + 11*h**3.
2*(h - 1)*(2*h - 1)*(3*h + 2)
Let f(r) be the first derivative of -r**9/3024 - r**8/560 - r**7/280 - r**6/360 - r**3/3 + 4. Let j(b) be the third derivative of f(b). Solve j(z) = 0 for z.
-1, 0
Find t such that 0 + 0*t + 2/11*t**4 - 32/11*t**3 + 128/11*t**2 = 0.
0, 8
Let o(b) be the second derivative of -1/3*b**4 + 0 + b**2 - 4/3*b**3 - 1/30*b**5 + b. Let i(n) be the first derivative of o(n). Factor i(p).
-2*(p + 2)**2
Let d(u) = u**2 + 5*u - 8. Let h(l) = -l + 2. Let z(g) = -d(g) - 4*h(g). Let z(i) = 0. What is i?
-1, 0
Let h(f) be the first derivative of f**8/1680 + f**7/480 + f**6/720 - f**5/480 - 2*f**3/3 + 6. Let j(g) be the third derivative of h(g). Factor j(b).
b*(b + 1)**2*(4*b - 1)/4
What is z in 0 - z + 1/3*z**2 = 0?
0, 3
Let g(l) = l - 2. Let d be g(0). Let c = 5 + d. Factor -2*p**c - 4*p + 4 + 2*p + 3*p + 5*p.
-2*(p - 2)*(p + 1)**2
Let p(f) be the third derivative of -f**6/300 + f**5/75 + f**4/60 - 2*f**3/15 + 12*f**2. Factor p(b).
-2*(b - 2)*(b - 1)*(b + 1)/5
Let a(x) = x**3 - 2*x**2 + x. Suppose -2*h + 10 = 3*h. Let f be a(h). Find b such that -2/5*b**3 + 2/5*b**f + 2/5*b - 2/5 = 0.
-1, 1
Suppose -2*s - 5 - 5 = 0. Let y be -4 - s - (0 - 1). Factor 3/2*n**y + 0 - 3/4*n - 3/4*n**3.
-3*n*(n - 1)**2/4
Suppose -o + 15 - 10 = 0. Determine l, given that l**o - 3/2*l**4 + 0*l**3 + 1/2*l**2 + 0*l + 0 = 0.
-1/2, 0, 1
Let w be (4 - (-116)/(-24))*(-4)/10. Find a, given that -1/3*a**3 + 0 + 2/3*a**2 - w*a**4 + 0*a = 0.
-2, 0, 1
Let j be (-6 + 10)*(-14)/4. Let x = 16 + j. Factor 2/3*d + 0 + 4/3*d**x + 2/3*d**3.
2*d*(d + 1)**2/3
Let r(d) be the third derivative of d**7/105 - d**6/20 + d**5/10 - d**4/12 - 6*d**2. Factor r(o).
2*o*(o - 1)**3
Let a(u) be the first derivative of 21*u**5/5 + 33*u**4/4 - 66*u**3/7 - 78*u**2/7 - 24*u/7 - 14. Let a(r) = 0. What is r?
-2, -2/7, 1
Let l(c) be the first derivative of 3*c**5/25 + 3*c**4/20 - c**3/5 - 3*c**2/10 + 6. Suppose l(s) = 0. What is s?
-1, 0, 1
Let l be ((-12)/(-1 + -2))/((-63)/(-18)). Find c, given that 52/7*c**2 + 90/7*c**3 + 0 + l*c - 125/7*c**5 - 25/7*c**4 = 0.
-2/5, 0, 1
Find p such that 10/3*p**2 - 8/3 + 5/3*p**3 - 1/3*p**5 - 4/3*p - 2/3*p**4 = 0.
-2, -1, 1, 2
Suppose -3*c + 8 = -5*p - 7, 0 = -4*p + 4*c - 20. Suppose 21 - 1 = 5*v. Let v*a + 2*a**4 + 0*a**3 - 4*a**3 - 2 + p*a = 0. Calculate a.
-1, 1
Let 10/9*d**3 - 2/9*d - 2/3*d**2 + 0 - 8/9*d**5 + 2/3*d**4 = 0. Calculate d.
-1, -1/4, 0, 1
Suppose 0 = -0*t + 2*t - 8, 5*b = t + 11. Let f = b - 0. Factor 0*p**4 - 2*p**4 + f*p**4.
p**4
Let q(j) = -j**3 + 3*j**2 + j - 1. Let d(l) = -l**2. Let m = 10 - 6. Let v = 6 - m. Let r(f) = v*d(f) + q(f). Factor r(t).
-(t - 1)**2*(t + 1)
Let p(v) be the third derivative of 5*v**8/2016 - v**7/126 + v**6/144 - 22*v**2. Factor p(u).
5*u**3*(u - 1)**2/6
Let o = 22 + -17. Let m(b) be the third derivative of 0 + 0*b**3 + 0*b - 1/105*b**7 + 0*b**o + 1/30*b**6 + 0*b**4 - 2*b**2. Suppose m(r) = 0. Calculate r.
0, 2
Let m(b) be the second derivative of b**7/1260 - b**6/810 - b**5/540 + b**3/2 - 3*b. Let i(q) be the second derivative of m(q). Let i(v) = 0. Calculate v.
-1/3, 0, 1
Let a(v) = -32*v**4 + 24*v**3 + 17*v**2 + 9*v - 9. Let y(k) = -8*k**4 + 6*k**3 + 4*k**2 + 2*k - 2. Let d(f) = 2*a(f) - 9*y(f). Let d(t) = 0. What is t?
-1/4, 0, 1
Suppose -2*q = -q - 5*d - 61, 3*q = -d + 103. Let r = q - 107/3. What is c in 0*c + 1/3*c**2 - 1/3*c**3 + r*c**5 - 1/3*c**4 + 0 = 0?
-1, 0, 1
Let q(d) be the third derivative of -5*d**8/336 + d**7/14 - d**6/8 + d**5/12 + 41*d**2. Factor q(w).
-5*w**2*(w - 1)**3
Suppose 2*o = 10*o. Factor -1/3*c**2 - 1/3*c + o.
-c*(c + 1)/3
Let m(x) be the second derivative of -4*x**6/45 + 22*x**5/45 - 17*x**4/18 + 8*x**3/9 - 4*x**2/9 + 8*x. Find y, given that m(y) = 0.
1/2, 2/3, 2
Suppose -4*j = -1 - 7. Factor 5*d**5 - 2*d + j*d - 3*d**5 + 2*d**4.
2*d**4*(d + 1)
Let q(u) be the first derivative of -u**4/6 + 4. Factor q(f).
-2*f**3/3
Let d(p) = -14*p**3 + 4*p**2 - 5*p + 5. Let l(t) = -14*t**3 + 4*t**2 - 4*t + 4. Let n(x) = -4*d(x) + 5*l(x). Factor n(z).
-2*z**2*(7*z - 2)
Factor 1/5*d**4 + 1/5*d**5 + 0 + 0*d**2 + 0*d - 2/5*d**3.
d**3*(d - 1)*(d + 2)/5
Let f(y) be the first derivative of y**3 + 5/4*y**4 + 0*y + 1/6*y**6 + 11/15*y**5 + 1/3*y**2 - 3. What is j in f(j) = 0?
-1, -2/3, 0
Let b = -4 - -8. Let z(n) be the third derivative of 1/3*n**3 + 1/120*n**5 + 0 + 0*n - 1/12*n**b - n**2. Factor z(k).
(k - 2)**2/2
Suppose -6 = -0*w - 3*w. Let b = 21 - 18. Factor 4/3*t**w + 0 + 2/3*t + 2/3*t**b.
2*t*(t + 1)**2/3
Let r(x) be the second derivative of 0 - 3*x + 1/6*x**3 - 1/6*x**4 + 1/2*x**2. Factor r(o).
-(o - 1)*(2*o + 1)
Let s(c) be the third derivative of c**6/30 + c**5/6 - c**4/3 - c**3 + 9*c**2. Find g such that s(g) = 0.
-3, -1/2, 1
Suppose 217 = 4*n - 5*v, 4*n + 4*v - 29 = 143. Let s = n + -334/7. Determine k so that s*k**2 - 2/7*k + 0 = 0.
0, 1
Suppose -22 - 1 = -5*j + 3*y, -5*j + 5*y = -25. Let n be (0/(j/2))/4. Solve -12/5*r**3 - 8/5*r**2 - 2/5*r + n - 2/5*r**5 - 8/5*r**4 = 0 for r.
-1, 0
Factor 4*l**4 + 2*l**4 - l**5 - 8*l**2 + 3*l**5.
2*l**2*(l - 1)*(l + 2)**2
Factor -1/4*o**4 + 1/2*o - 1/2*o**3 + 0*o**2 + 1/4.
-(o - 1)*(o + 1)**3/4
Suppose -2*n - 3*h - 2 = -0*n, -3*h = 3*n + 6. Let q be -1 + 1 - (n + 3). Factor 2*b**2 - 7*b + 4*b**3 + 0*b**2 + 0 + q - 3*b**4 + 3*b.
-(b - 1)**2*(b + 1)*(3*b - 1)
Let h(r) be the first derivative of 2 + 1/8*r**2 - 7/48*r**4 - r - 1/20*r**5 - 1/12*r**3. Let p(u) be the first derivative of h(u). What is x in p(x) = 0?
-1, 1/4
Let j(v) = 4*v**2 - 7*v - 2. Let i(p) = -p**2 + p + 1. Let r = 0 + -5. Let b(h) = r*i(h) - j(h). Find x, given that b(x) = 0.
-3, 1
Let d(i) be the third derivative of -5*i**8/336 - 3*i**7/70 + i**6/60 + i**5/6 + i**4/8 - i**3/6 + 6*i**2. Factor d(v).
-(v - 1)*(v + 1)**3*(5*v - 1)
Let t(b) = b**2 - b - 1. Suppose -3*o = -6*v + v + 77, 0 = o + 3*v + 21. Let r(d) = -9*d**2 + 11*d + 8. Let u(c) = o*t(c) - 3*r(c). Factor u(k).
3*k*(k - 3)
Let c(b) be the second derivative of 1/210*b**7 - 1/15*b**3 + 0 + 1/12*b**4 + 0*b**2 + 4*b - 3/100*b**5 - 1/150*b**6. Factor c(w).
w*(w - 1)**3*(w + 2)/5
Determine d so that 0*d**3 - 1/5*d**4 + 0 + 1/5*d**2 + 0*d = 0.
-1, 0, 1
Let o(d) be the first derivative of -7/6*d**4 - 2 + 0*d + 4/9*d**2 - 16/27*d**3. What is r in o(r) = 0?
-2/3, 0, 2/7
Let u(x) be the first derivative of 2*x**3/15 + 2. Factor u(l).
2*l**2/5
Suppose 2*i + 4 + 6 = 0, -22 = v + 5*i. Solve -4*w**v - 6*w**2 + 2 - 4*w**3 + 4*w**3 = 0.
-1, 1/2
Let b(a) be the second derivative of a**4/90 + a**3/45 - 2*a**2/15 + 30*a. Factor b(q).
2*(q - 1)*(q + 2)/15
Let i(x) = 2*x - 2. Let h be i(3). Suppose 3 = h*b - 17. Factor -s**3 - s**2 + 2*s**2 - b*s**2 - 4*s.
-s*(s + 2)**2
Let p(c) be the second derivative of 2*c**7/21 - 2*c**6/15 - 3*c**5/5 + c**4/3 + 4*c**3/3 + 2*c. What is q in p(q) = 0?
-1, 0, 1, 2
Let u be (-1680)/(-160) + 1*-9. Factor u - 2*f**2 + 11/2*f.
-(f - 3)*(4*f + 1)/2
Let j(p) = -6*p**3 + 4*p**2 + 10*p - 6. Let n(k) = -k**4 + 7*k**3 - 3*k**2 - 11*k + 5. Let o(a) = 3*j(a) + 2*n(a). Factor o(f).
-2*(f - 1)**2*(f + 2)**2
Let k(y