= 0.
-1, 0
Let q(y) be the second derivative of -1/40*y**5 + 1/12*y**3 + 0 + 1/4*y**2 - 1/24*y**4 + y. What is t in q(t) = 0?
-1, 1
Let u(z) be the third derivative of 0*z**3 + 6*z**2 + 0 + 1/12*z**4 + 0*z + 1/120*z**6 + 1/20*z**5. Let u(y) = 0. Calculate y.
-2, -1, 0
Factor -33/5*j**3 + 6/5 - 27/5*j + 9/5*j**4 + 9*j**2.
3*(j - 1)**3*(3*j - 2)/5
Determine p so that 0 + 0*p**2 + 2/3*p**5 - 2*p**4 + 4/3*p**3 + 0*p = 0.
0, 1, 2
Let b(a) be the third derivative of a**5/120 - 3*a**4/8 + 27*a**3/4 - 42*a**2. Factor b(y).
(y - 9)**2/2
Let p(r) be the second derivative of r**6/15 - 3*r**5/10 - 3*r. Suppose p(j) = 0. Calculate j.
0, 3
Let 12/11*n - 10/11*n**2 - 2/11 = 0. Calculate n.
1/5, 1
Let o(l) be the third derivative of 0 - 1/15*l**5 + 0*l**3 + 0*l + 9*l**2 - 1/6*l**4. Let o(x) = 0. Calculate x.
-1, 0
Let r(j) be the first derivative of 5*j**6/6 - 18*j**5/5 + 17*j**4/4 - 2*j**2 - 4. Factor r(f).
f*(f - 2)*(f - 1)**2*(5*f + 2)
Suppose 4*x = -5*q + 29, x + x = 4*q + 8. Factor -13*t**3 + t**4 + 0*t**4 + 1 - 4*t + 9*t**3 + x*t**2.
(t - 1)**4
Suppose -4*f + 2*u + 7 = 5, 0 = 5*f - u + 2. Let a be (f/(-2))/(8/48). Suppose 0*l**2 - 2/7*l + 0 + 2/7*l**a = 0. Calculate l.
-1, 0, 1
Let c = -14 + 18. Suppose 0 = 3*a - 6*a + 15. Factor -d**c + 0*d**5 - d**5 - 4*d**3 + d**2 + a*d**3.
-d**2*(d - 1)*(d + 1)**2
Let p(l) be the second derivative of l**7/10080 - l**6/2880 - l**4/2 - 6*l. Let b(c) be the third derivative of p(c). Factor b(x).
x*(x - 1)/4
Let w(q) be the first derivative of 3 - 82/15*q**3 - 21/5*q**4 + 14/5*q**6 + 74/25*q**5 + 8/5*q + 0*q**2. Solve w(t) = 0.
-1, -2/3, -1/2, 2/7, 1
Let z(q) be the second derivative of 2*q + 1/30*q**4 + 2/5*q**2 + 1/5*q**3 + 0. Factor z(a).
2*(a + 1)*(a + 2)/5
Let h = 37 - 18. Let v = h - 16. Factor 16/3*z - 4/3 - 7*z**2 + 3*z**v.
(z - 1)*(3*z - 2)**2/3
Let y(i) = -2*i + 2. Let w be y(-1). Factor -15*p**5 - 5*p**3 - 15*p**4 + 0*p**3 - p**3 - 6*p**w.
-3*p**3*(p + 1)*(5*p + 2)
Let k(c) be the first derivative of -5*c**4/8 - 5*c**3/6 + 5*c**2/4 + 5*c/2 + 9. Factor k(v).
-5*(v - 1)*(v + 1)**2/2
Let s(b) be the second derivative of -b**5/100 + b**4/30 + 2*b**3/15 - 4*b**2/5 - 19*b. Factor s(z).
-(z - 2)**2*(z + 2)/5
Determine j so that -1/3*j**5 + 8/3 - 2/3*j**2 + 0*j**4 + 7/3*j**3 - 4*j = 0.
-2, 1, 2
Let a = -16/11 - -102/55. Let p(s) be the first derivative of 2/25*s**5 + 0*s**3 + a*s**2 - 1/5*s**4 - 1 - 2/5*s. Factor p(n).
2*(n - 1)**3*(n + 1)/5
Let d(o) be the third derivative of -o**5/330 + o**4/22 - 3*o**3/11 + 7*o**2. Solve d(w) = 0.
3
Let d = -13 + 13. Determine w so that d - 2/7*w**2 - 2/7*w = 0.
-1, 0
Let u(n) be the first derivative of n**4/3 - 11*n**3/9 + 5*n**2/6 + 2*n/3 - 17. Factor u(i).
(i - 2)*(i - 1)*(4*i + 1)/3
Let n(a) be the first derivative of a**6/36 - a**5/30 - a**4/12 + 20. Suppose n(l) = 0. What is l?
-1, 0, 2
Let p = 1 - 1. Let v = 3772/7 + -538. Determine s, given that -v*s**2 - 2/7*s + p = 0.
-1/3, 0
Let s(r) = -10*r**2 - 11. Let j(u) = -2*u**2 - 2. Let f(a) = -11*j(a) + 2*s(a). Factor f(t).
2*t**2
Let h(o) be the second derivative of -o**7/2520 - o**6/240 - o**5/60 - o**4/6 - 3*o. Let c(z) be the third derivative of h(z). Let c(s) = 0. Calculate s.
-2, -1
Let x(h) be the third derivative of 0 - 4*h**2 - 1/15*h**5 + 0*h + 1/3*h**4 + 0*h**3. Factor x(b).
-4*b*(b - 2)
Let m(k) = k**2 - 5*k - 48. Let r be m(-5). What is s in -98/11*s**3 + 16/11 - 100/11*s**r + 90/11*s**5 + 84/11*s**4 + 8/11*s = 0?
-1, -2/3, 2/5, 1
Let b(q) be the first derivative of 2*q**3/3 - 2*q - 1. Suppose b(c) = 0. What is c?
-1, 1
Let r(a) be the first derivative of -a**6/210 + a**5/105 + 4*a**2 + 9. Let i(y) be the second derivative of r(y). Suppose i(k) = 0. Calculate k.
0, 1
Let r be (13/(-7))/(267/(-623)). Solve -7*y**2 - 2/3 - r*y = 0 for y.
-1/3, -2/7
Let b(m) be the second derivative of 0 + 0*m**2 - 5*m - 1/4*m**4 + m**3. Determine o so that b(o) = 0.
0, 2
Suppose -6*j + j = 0. Determine z, given that 16*z - 7*z + j*z - 5*z + 2*z**2 = 0.
-2, 0
Let m(c) be the first derivative of 4 - 2/5*c**5 + 0*c**3 + 2*c - c**4 + 2*c**2. Determine w, given that m(w) = 0.
-1, 1
Factor 4/7 - 2/7*z**2 - 2/7*z.
-2*(z - 1)*(z + 2)/7
Let j(p) be the first derivative of -p**5/5 - p**4/4 + p**3 + p**2/2 - 2*p - 6. Factor j(z).
-(z - 1)**2*(z + 1)*(z + 2)
Let c = 12 + -8. Suppose 5*k + c*w - w = 3, 2*w = -8. Let 2/7*g + 12/7*g**2 + 18/7*g**k + 0 = 0. What is g?
-1/3, 0
Let d(k) be the third derivative of k**5/150 - 3*k**4/10 + 27*k**3/5 - 8*k**2. Solve d(l) = 0 for l.
9
Let x(w) be the third derivative of w**7/105 - w**6/15 + w**5/6 - w**4/6 - 6*w**2. Factor x(a).
2*a*(a - 2)*(a - 1)**2
Let b be 32/10 - (-15)/(-5). Let q(l) be the second derivative of 1/30*l**4 + 0 - b*l**2 + 0*l**3 - l. Determine w, given that q(w) = 0.
-1, 1
Let g(k) = -10*k**2 - 10*k - 45. Let o(h) = h**2 + h + 4. Let t(l) = 4*g(l) + 45*o(l). Factor t(r).
5*r*(r + 1)
Suppose 3*j - j = j. Factor j - 2/5*k**5 + 0*k**2 + 2/5*k**3 + 0*k + 0*k**4.
-2*k**3*(k - 1)*(k + 1)/5
Suppose 4*o - 1 = 3. Let z be (-4)/(-2)*-1 + o. Let d(l) = 5*l**2 + 9*l + 2. Let m(v) = v. Let k(x) = z*d(x) + 2*m(x). Factor k(t).
-(t + 1)*(5*t + 2)
Factor 1/4*z**4 + 0*z + 0*z**2 + 0 - 1/4*z**3.
z**3*(z - 1)/4
Let p = -16 + 36. Let d be 1/(-3) + p/6. Factor -d*w + 0*w + w - w**2.
-w*(w + 2)
Let p(g) be the first derivative of -g**6/36 + g**5/10 - g**4/8 + g**3/18 - 1. Determine u so that p(u) = 0.
0, 1
Suppose -4*k + 3*x + 2*x = -100, -5*x = -20. Let w = -28 + k. Factor 4/3 + 4/3*j + 1/3*j**w.
(j + 2)**2/3
Let f(a) be the first derivative of a**3/6 - a**2/4 - a - 6. Factor f(v).
(v - 2)*(v + 1)/2
Find o, given that 2 - 1 + 1 + o**2 + 0 - 3*o = 0.
1, 2
Let k(h) = 5*h**3 + 30*h**2 + 64*h + 36. Let f(b) = 20*b**3 + 120*b**2 + 255*b + 145. Let a(v) = -4*f(v) + 15*k(v). Solve a(m) = 0 for m.
-2
Factor 4/15 + 2/3*b**3 + 2/15*b**4 + 6/5*b**2 + 14/15*b.
2*(b + 1)**3*(b + 2)/15
Let z = 617 - 616. Determine h so that 2*h**2 + 5/2*h - 3/2*h**3 - z = 0.
-1, 1/3, 2
Let x(u) be the first derivative of u**4/12 + u**3/3 + u**2/3 + 4. Suppose x(j) = 0. Calculate j.
-2, -1, 0
Let -2 - 15*m**2 - 16*m + 6 - 5*m**2 = 0. What is m?
-1, 1/5
Let w(i) = 2*i + 1. Let r be w(2). Let u(s) be the first derivative of -4*s + 3*s**2 - 2 - 7/2*s**4 + 2*s**3 + 6/5*s**r. Factor u(h).
2*(h - 1)**3*(3*h + 2)
Let f(k) = k**5 + k**4 - k**3 - k**2 + k + 1. Let h(d) = 9*d**5 - 15*d**4 + 27*d**3 - 21*d**2 + 5*d + 5. Let o(q) = 5*f(q) - h(q). Find w such that o(w) = 0.
0, 1, 2
Suppose 0 = -6*t - 130 - 32. Let s = 29 + t. Factor 2/5*a + 2/5*a**s + 0 - 2/5*a**4 - 2/5*a**3.
-2*a*(a - 1)*(a + 1)**2/5
Suppose 2*l - 21 = -3*u - 6, 0 = 4*l + 4*u - 24. What is k in 0 + 0*k - 1/2*k**2 + k**l - 1/2*k**4 = 0?
0, 1
Let m = -1/3 - -8/15. Let s = 53 + -48. Let 0*h - 9/5*h**4 + 4/5*h**s + 0 + 6/5*h**3 - m*h**2 = 0. Calculate h.
0, 1/4, 1
Let g(p) be the second derivative of -2*p**6/105 - p**5/7 - 8*p**4/21 - 8*p**3/21 + 13*p. Factor g(m).
-4*m*(m + 1)*(m + 2)**2/7
Let o(s) be the first derivative of -s**6/45 - s**5/30 + s**4/18 + s**3/9 - 2*s + 2. Let n(p) be the first derivative of o(p). Let n(a) = 0. What is a?
-1, 0, 1
Let t(i) be the third derivative of i**5/30 - 4*i**4/3 + 64*i**3/3 + 23*i**2. Factor t(f).
2*(f - 8)**2
Let o(l) = -l**2 + 5*l + 1. Let h be o(7). Let c = h + 13. Factor 1/4*z**5 + 0*z + 1/4*z**2 + c + 3/4*z**3 + 3/4*z**4.
z**2*(z + 1)**3/4
Suppose 2*o - 3 - 1 = 0. Let 2/9*y**5 + 0*y**3 + 4/9*y**4 - 4/9*y**o - 2/9*y + 0 = 0. Calculate y.
-1, 0, 1
Let v(t) be the first derivative of -3*t**5/20 - 3*t**4/16 - 10. Find g such that v(g) = 0.
-1, 0
Let o(s) be the third derivative of 0*s + 13/30*s**5 + 0*s**3 + 0 - 2*s**2 - 1/6*s**4 - 13/105*s**7 + 1/8*s**8 - 19/60*s**6. Suppose o(p) = 0. Calculate p.
-1, 0, 2/7, 1/3, 1
Let f = 1700/33 + -154/3. Solve 2/11 + f*j**2 + 4/11*j = 0 for j.
-1
Find d, given that -3*d**5 + 2*d**5 - 28*d + 38*d**2 - 104*d**4 + 8 + 112*d**4 - 25*d**3 = 0.
1, 2
Let o(k) be the second derivative of 2*k**7/7 - 7*k**6/10 + 3*k**5/10 + k**4/4 + 7*k. Solve o(w) = 0 for w.
-1/4, 0, 1
Let q be (-5 - -6)/((-1)/(-3)). What is y in -y + 0 + 0*y**2 + y**2 - 1 + y**q = 0?
-1, 1
Let x(k) = k**5 + k**4 + k**3. Let c(o) = 3*o**5 + 3*o**3. Let l(h) = 3*c(h) - 6*x(h). Factor l(m).
3*m**3*(m - 1)**2
Let k(y) be the second derivative of -y**