en that h(f) = 0.
-1/3, 0, 2/7, 1
Let j(x) be the third derivative of x**6/360 + x**5/20 + x**4/3 + 10*x**3/9 + 19*x**2. Solve j(z) = 0 for z.
-5, -2
Let k = 71/3 - 23. Factor 0 - 2/9*p**4 + k*p**3 - 2/3*p**2 + 2/9*p.
-2*p*(p - 1)**3/9
Let s(j) be the third derivative of -j**8/16128 + j**7/2520 + j**6/720 - j**5/30 - j**2. Let q(r) be the third derivative of s(r). Solve q(m) = 0 for m.
-2/5, 2
Let v(o) = 2*o**2 - 2*o - 8. Let l(j) = -6*j**2 + 7*j + 24. Let t(h) = -2*l(h) - 7*v(h). Factor t(f).
-2*(f - 2)*(f + 2)
Let r = 70/51 - 12/17. Factor r + 1/3*u - 1/3*u**2.
-(u - 2)*(u + 1)/3
Let r(i) = i**4 - 6*i**3 + i**2. Let w(n) = -n**3. Let o(l) = 3*r(l) - 24*w(l). Determine t, given that o(t) = 0.
-1, 0
Let t(l) be the second derivative of 0 - 1/6*l**4 - l - 4/3*l**3 - 3*l**2. Factor t(r).
-2*(r + 1)*(r + 3)
Let x be (46/(-4))/((-7)/(-14)). Let n = x + 70/3. Factor 2/3*p - 1/3 - n*p**2.
-(p - 1)**2/3
Suppose 7*y = 6*y + 2. Factor 1/2*j + j**y - 1/2*j**3 - 1.
-(j - 2)*(j - 1)*(j + 1)/2
Let m(j) be the third derivative of 0*j + 0*j**4 + 0 + 0*j**3 - 1/30*j**5 + 1/105*j**7 + 4*j**2 + 0*j**6. Factor m(u).
2*u**2*(u - 1)*(u + 1)
Let v(x) be the first derivative of -2*x**3/15 - 6*x**2/5 - 16*x/5 - 50. Suppose v(m) = 0. What is m?
-4, -2
Solve 2/15*m**2 + 4/15 + 2/5*m = 0 for m.
-2, -1
Let p be 1/(6/15 + 55/50). Factor -p*m**3 + 2/3*m**5 + 0 + 0*m**2 + 0*m**4 + 0*m.
2*m**3*(m - 1)*(m + 1)/3
Factor -9*m**2 + 23*m**2 - 18*m**2 + 12*m - 8.
-4*(m - 2)*(m - 1)
Find a such that -1/2*a**5 + a**2 - 1/4 - 3/4*a**4 + 0*a + 1/2*a**3 = 0.
-1, 1/2, 1
Let c(h) be the second derivative of -h**6/80 - 3*h**5/32 - 9*h**4/32 - 7*h**3/16 - 3*h**2/8 + 4*h. Factor c(z).
-3*(z + 1)**3*(z + 2)/8
Let v = -41/2 + 21. Solve 0 - 1/2*j**2 + v*j = 0.
0, 1
Suppose -2*x - 3*v = -279, v = -4*x + 348 + 195. Find z, given that -15*z**4 - 60*z**4 - 2*z + 14*z - 72*z**2 + x*z**3 = 0.
0, 2/5, 1
Let t(c) be the first derivative of -c**3 + 6*c**2 - 12*c + 29. Factor t(s).
-3*(s - 2)**2
Let i(k) be the first derivative of -4 + k**2 + 0*k + 2/3*k**3. Factor i(l).
2*l*(l + 1)
Suppose 0 = -i - 6*i. Let a(r) be the third derivative of -1/60*r**5 + 0 + 0*r + 2*r**2 + 1/24*r**4 + i*r**3. Determine p so that a(p) = 0.
0, 1
Let t(c) = 2*c - 10. Let g be t(6). Let s(i) be the first derivative of 0*i**3 - 1/10*i**4 + 0*i**2 + g + 0*i. Solve s(q) = 0.
0
Let f be 3 + 2 + (-81)/18. Find c such that -1/2*c - f*c**2 + 0 = 0.
-1, 0
Let g be 8/20 - ((-66)/10 - -3). Factor -32/5*p - 8/5*p**3 - 16/5 - 24/5*p**2 - 1/5*p**g.
-(p + 2)**4/5
Suppose 2*p - j + 5 = 0, -4*p + 4*j = -j + 25. Solve -3/2*x**2 - 2*x**3 + 1/4 + p*x - 3/4*x**4 = 0.
-1, 1/3
Let p be 24/14 + (-10)/(-35). Solve -6 - 2*q + p*q**2 + 6 = 0 for q.
0, 1
Let p(d) = -13*d**4 + 13*d**3 - 5*d**2 - 4*d - 9. Let s(c) = -3*c**4 + 3*c**3 - c**2 - c - 2. Let j(o) = 4*p(o) - 18*s(o). Suppose j(g) = 0. Calculate g.
-1, 0, 1
Let j = -17 - -22. Let a(x) be the second derivative of 0 - 1/10*x**j + 0*x**3 + 0*x**4 + 0*x**2 + x. What is c in a(c) = 0?
0
Let l be (130/3)/5 + -4. Factor 4/3 - 2/3*n - l*n**4 - 38/3*n**3 - 10*n**2.
-2*(n + 1)**3*(7*n - 2)/3
Let l(g) = 10*g**3 - g**2 + g. Let t(d) = 21*d**3 - 3*d**2 + 2*d. Let x(c) = 13*l(c) - 6*t(c). Factor x(k).
k*(k + 1)*(4*k + 1)
Let f(h) be the second derivative of 25*h**7/252 + h**6/4 - 13*h**5/60 - h**4/2 - 2*h**3/9 + 4*h. Find x such that f(x) = 0.
-2, -2/5, 0, 1
Let r(d) be the first derivative of -d**9/1512 - d**8/420 + d**6/90 + d**5/60 - d**3 + 1. Let i(p) be the third derivative of r(p). Find x such that i(x) = 0.
-1, 0, 1
Factor 20*l - 449*l**2 + 185*l**2 + 224*l**2 + 25*l**3 - 5*l**4.
-5*l*(l - 2)**2*(l - 1)
Let i(x) = 3*x**5 - x**4 - 2*x + 2. Let a(l) = 10*l**5 - 4*l**4 - 7*l + 7. Let z(m) = 4*a(m) - 14*i(m). Factor z(g).
-2*g**4*(g + 1)
Let c(o) = -9*o**3 - 8*o**2 + 3*o + 6. Let q(g) = -11*g**3 - 9*g**2 + 4*g + 6. Let s(v) = -5*c(v) + 4*q(v). Factor s(m).
(m - 1)*(m + 2)*(m + 3)
Let f = 38/3 + -12. Suppose 0 = -2*n - 1 + 5. Find s such that 2*s**n - 2*s + f - 2/3*s**3 = 0.
1
Let n(a) = a**2 + a. Let y(p) = p**3 + 3*p**2 + 6*p + 4. Let t(m) = -6*n(m) + y(m). Factor t(h).
(h - 2)**2*(h + 1)
Let n be (-22)/(-28) - 2/4. Let u(s) = -s**3 - 6*s**2 + 4*s - 18. Let t be u(-7). Factor -4/7*m**t + 2/7*m**4 + 0 + n*m**2 + 0*m.
2*m**2*(m - 1)**2/7
Let v = -2 + 5. Let t(b) = -b**3 + 4*b**2 - b - 4. Let z be t(v). Solve 3*n**2 + z*n**2 + n - 6*n**2 = 0 for n.
0, 1
Suppose 0 + 3/4*w**3 + 5/4*w**2 - 1/4*w**5 + 1/2*w - 1/4*w**4 = 0. Calculate w.
-1, 0, 2
Let s(f) be the second derivative of -f**4/102 - 4*f**3/51 + 5*f**2/17 - 19*f. Determine u, given that s(u) = 0.
-5, 1
Let 8/3*o + 20/3*o**2 + 4/3*o**4 + 0 + 16/3*o**3 = 0. What is o?
-2, -1, 0
Let c = -16 + 18. Let q(h) be the second derivative of -5/27*h**3 - 2*h + 0 - 2/9*h**c - 1/18*h**4. Solve q(b) = 0 for b.
-1, -2/3
Let c be (-6)/9*3/(-20). Let h(m) be the second derivative of -1/6*m**4 - c*m**5 + 1/3*m**3 + 2*m + 0 + m**2. Suppose h(a) = 0. Calculate a.
-1, 1
Let f = -29 - -43. Let y be ((-8)/f)/(8/(-28)). Suppose -3*x**2 + 4*x**2 - 2*x**4 - 7*x**y - 2*x - 6*x**3 = 0. Calculate x.
-1, 0
Let w be (2/(-8))/(2/(-90)). Let k = -11 + w. Factor 1/4*l**2 - k*l - 1/2.
(l - 2)*(l + 1)/4
Suppose -3 + 19 = 8*t. Suppose 2*c - 18 = -5*y, -2*y + 2*c - 2 = y. Solve -4/3*o**t - 2*o**5 + 0 + 0*o + y*o**3 + 4/3*o**4 = 0 for o.
-1, 0, 2/3, 1
Let g(m) = 2*m + 3. Let h be g(-4). Let v = 7 + h. Solve -2/5*z**3 + 4/5*z**v - 2/5*z + 0 = 0 for z.
0, 1
Factor 32/7*z + 10/7*z**2 - 2*z**3 + 8/7.
-2*(z - 2)*(z + 1)*(7*z + 2)/7
Let c(r) be the third derivative of r**7/210 + r**6/40 + r**5/60 - r**4/8 - r**3/3 + r**2. Let c(y) = 0. Calculate y.
-2, -1, 1
Let x(n) be the third derivative of -n**6/480 + 3*n**4/32 + 36*n**2. Factor x(j).
-j*(j - 3)*(j + 3)/4
Suppose 0*n + 8/5 - 6/5*n**2 - 2/5*n**3 = 0. What is n?
-2, 1
Let z = 22864/37 - 618. Let u = 80/111 + z. Factor u*i**2 + 2/3 + 4/3*i.
2*(i + 1)**2/3
Let t(n) be the third derivative of -1/70*n**7 + 0 - 1/40*n**6 - 9*n**2 + 1/8*n**4 + 3/20*n**5 + 0*n - n**3. Factor t(i).
-3*(i - 1)**2*(i + 1)*(i + 2)
Let k(y) = y**5 - y**4 - y**3 - y - 1. Let l(s) = -4*s**5 + 6*s**3 + 2*s + 2. Let d(b) = -2*k(b) - l(b). Determine q so that d(q) = 0.
-2, 0, 1
Suppose -5*y + 2*p - 43 = -p, 0 = 4*p - 4. Let x be 21/12 - 2/y. Determine a, given that -a**4 - x*a**4 + 4*a**4 = 0.
0
Suppose -8/7*r**2 + 0 + 8/7*r + 2/7*r**3 = 0. What is r?
0, 2
Factor -1/2*f + 1/2*f**2 - 1/2 + 1/2*f**3.
(f - 1)*(f + 1)**2/2
Let x be (218/90 - 2) + (-19)/95. Let i(u) be the first derivative of x*u**3 - 2/3*u**2 + 1 + 0*u. Factor i(j).
2*j*(j - 2)/3
Let y(j) be the second derivative of -j**7/4200 + j**6/1800 + j**3/2 + 5*j. Let m(o) be the second derivative of y(o). Suppose m(n) = 0. Calculate n.
0, 1
Suppose -2*m = 4*v + 6 + 20, v + 11 = -2*m. Let o be (-6)/8 - (4 + v). Factor 0 - 3/4*y**3 - 1/4*y - 3/4*y**2 - o*y**4.
-y*(y + 1)**3/4
Let t(w) = 2*w**2 + 39*w - 63. Let b be t(-21). Factor 0 + b*i - 12/5*i**5 + 3*i**4 + 0*i**2 - 3/5*i**3.
-3*i**3*(i - 1)*(4*i - 1)/5
Let f(k) be the first derivative of -3/2*k**2 + 4 + 4*k - 3/4*k**4 + 2*k**3. Let v(x) be the first derivative of f(x). Factor v(w).
-3*(w - 1)*(3*w - 1)
Suppose 0 = 3*u + 5*k - 60, -2*u = 2*k + k - 40. Suppose v + u = 6*v. Determine m so that 4*m - 4*m**4 + 3*m**4 - m**v - 3 - 4*m**3 + 5 = 0.
-1, 1
Let q(d) = 2*d**2 + 2. Let m(s) = s - 1. Let b(o) = -2*m(o) - q(o). Determine u, given that b(u) = 0.
-1, 0
Let z(w) be the third derivative of 1/140*w**6 + 0*w + 2*w**2 + 0*w**3 - 1/210*w**5 + 1/1176*w**8 + 0*w**4 - 1/245*w**7 + 0. Factor z(s).
2*s**2*(s - 1)**3/7
Suppose 0 = p - 1, 0 = -4*h + 3*p + 2 - 5. Let i(g) be the first derivative of 1 - 1/12*g**3 + h*g**2 + 0*g. Factor i(q).
-q**2/4
Suppose 4*h - 5 = 3. Factor 2 + 2*c**3 + c**2 + 11*c**2 + 6*c - 6*c**h.
2*(c + 1)**3
Suppose 3*q - 3*n + 6*n + 9 = 0, -3*q - 4*n - 13 = 0. Let d(l) be the first derivative of -2/3*l**3 + 0*l - l**2 + q. Factor d(x).
-2*x*(x + 1)
Let r(l) = l**3 + 2*l**2 - 1. Let q(p) = -p**4 - p**2 - p + 1. Let m(c) = q(c) + r(c). Factor m(k).
-k*(k - 1)**2*(k + 1)
Let u(i) = -i**2 - 3*i + 2. Let j be u(-2). Determine h, given that -27*h**4 - 31*h**j - 12*h + 56*h**2 - 16*h**3 - 10 + 28*h**5 + 2 + 10*h**4 = 0.
-1, -2/7, 1
Suppose 0 = -2*r - 2*d - 8, 4*d -