**6 - 1/5*q**2 - 4/15*q**3. Let p(o) = 0. Calculate o.
-1, -1/4, 1
Let h(s) = 6 + 4 + 8*s + 4*s**2 - 2 - 2. Let n(q) = -15*q - 11 - 5*q**2 + 0*q**2 - 2*q**2. Let w(y) = -11*h(y) - 6*n(y). Find u, given that w(u) = 0.
0, 1
Determine l so that 2*l**3 - l**4 - l**4 + 0*l**5 - 2*l**5 + 2*l**2 + 0*l**2 = 0.
-1, 0, 1
Let l(c) be the second derivative of -16/15*c**3 - 4/5*c**2 + 0 + 2*c - 1/2*c**4. Find f such that l(f) = 0.
-2/3, -2/5
Let n(p) = p**5 + 12*p**4 + p**3 + 5*p**2 - 5*p - 5. Let s(b) = -3*b**5 - 42*b**4 - 3*b**3 - 18*b**2 + 18*b + 18. Let y(m) = -18*n(m) - 5*s(m). Factor y(k).
-3*k**3*(k + 1)**2
Let s = 28 - 25. Factor -2/7*i - 2/7*i**2 + 2/7 + 2/7*i**s.
2*(i - 1)**2*(i + 1)/7
Factor 4/11 + 10/11*c + 2/11*c**3 + 8/11*c**2.
2*(c + 1)**2*(c + 2)/11
Let s(b) = -b**2 + 2*b. Let v be s(2). Let d(k) be the first derivative of 3 + 1/2*k**4 + 0*k + v*k**2 + 2/3*k**3. Determine l, given that d(l) = 0.
-1, 0
Let q = 585 - 583. Factor 2/5*u**q + 8/5*u + 6/5.
2*(u + 1)*(u + 3)/5
Let p(y) = -y**3 + y**2 - y. Let j(h) = 0*h**4 + 4*h**2 - 3*h**2 + h**4 - h. Let r(l) = -j(l) + p(l). Factor r(g).
-g**3*(g + 1)
Let a = -179/39 - -64/13. Determine b so that a + b + b**2 + 1/3*b**3 = 0.
-1
Suppose -d + 3*f - 15 = 2*d, 3*d + 2*f = 0. Let q be 12/(-20)*d/3. Determine u so that 6/5*u + 4/5*u**2 + q = 0.
-1, -1/2
Let x(b) be the second derivative of 4*b**6/15 - 7*b**5/10 + b**4/3 + b**3/3 - 9*b. Factor x(a).
2*a*(a - 1)**2*(4*a + 1)
Let f(v) = 8*v - 2. Let y be f(2). Let p = y - 9. Factor -2*r**5 - r**p - 2*r**3 + r**3 - 4*r**4.
-r**3*(r + 1)*(3*r + 1)
Let l(v) = 3*v + 12. Let k(r) = -2*r - 8. Let y(c) = 7*k(c) + 5*l(c). Let t be y(-4). Factor t + 1/2*n**2 + 0*n**3 - 1/2*n**4 + 0*n.
-n**2*(n - 1)*(n + 1)/2
Let u be (45/27)/(10/12). Determine k, given that -5*k**4 + 4*k**3 - 30*k**2 + 3*k**4 + 28*k**u = 0.
0, 1
Factor 3/2*m**4 + 3/2*m**3 + 0 + 0*m - 3*m**2.
3*m**2*(m - 1)*(m + 2)/2
Suppose -5 = s + 3*f + 9, -2*s + 7 = -f. Find a, given that 3*a**3 + 8*a - 2 - 7*a - s + 8*a - 9*a**2 = 0.
1
Let c(o) be the second derivative of -o**4/36 - o**3/18 + 7*o. Let c(r) = 0. What is r?
-1, 0
Let c = 11 - 6. Suppose 5*g = -5*a - c, 4*g = -3*a - 2 - 1. Find z such that g*z**3 - 1/5*z**5 + 0 + 0*z**2 - 1/5*z**4 + 0*z = 0.
-1, 0
Suppose -k = 0, -5*f + 0*k = -3*k + 5. Let l = f + 4. Solve 0*h - 5*h**l - h + 3*h**3 - h**4 + h**2 + 3*h = 0 for h.
-2, -1, 0, 1
Factor -306*d**2 + 1 - 162*d**3 - 22 - 270*d - 11 + 94*d.
-2*(d + 1)*(9*d + 4)**2
Let y(v) = 12*v**2 - 10*v + 2. Let b = -11 + 18. Let g(i) = -1 - 2 + 6 + 23*i**2 - 2*i - 17*i. Let h(n) = b*y(n) - 4*g(n). Factor h(f).
-2*(f - 1)*(4*f + 1)
Let z be 1 + -1 + 1 + 0. Let f be z/(3 - 3/(-6)). Find k such that f*k**4 + 4/7*k - 2/7 - 4/7*k**3 + 0*k**2 = 0.
-1, 1
Let a(l) = -20*l**3 + 104*l**2. Let h(i) = -4*i**3 + 21*i**2. Let k(s) = -5*a(s) + 24*h(s). Determine p, given that k(p) = 0.
0, 4
Let i(m) be the third derivative of m**7/70 - m**6/20 - m**5/5 + m**4/4 + 3*m**3/2 + 5*m**2. Factor i(j).
3*(j - 3)*(j - 1)*(j + 1)**2
Let d(r) be the third derivative of 0*r - 1/180*r**6 + 1/630*r**7 + 0*r**4 + 1/180*r**5 - 3*r**2 + 0 + 0*r**3. Factor d(q).
q**2*(q - 1)**2/3
Let l = 24 + -20. Let y(z) be the second derivative of 4/3*z**3 + 0 - z - 1/6*z**l - 4*z**2. Let y(w) = 0. Calculate w.
2
Let i(g) be the first derivative of 3*g**8/280 - g**6/30 + 2*g**5/45 - g**4/36 - g**3 + 2. Let t(l) be the third derivative of i(l). Factor t(r).
2*(r + 1)*(3*r - 1)**3/3
Let p(r) = -118*r**2 + 2*r + 1. Let j be p(-1). Let d = j - -837/7. Find h such that 0 + 10/7*h**2 - d*h = 0.
0, 2/5
Let n(a) be the first derivative of -a**8/840 - a**7/140 - a**6/90 - 11*a**3/3 - 9. Let j(p) be the third derivative of n(p). Factor j(l).
-2*l**2*(l + 1)*(l + 2)
Let v**5 - 2*v**3 + v**2 + 3*v**3 - 2*v**5 - v**4 = 0. Calculate v.
-1, 0, 1
Let x(g) be the second derivative of g**4/12 + 7*g**3/6 - 2*g**2 + 2*g. Let w be x(-8). Solve 16/5*s**3 + 2/5*s**2 - 4/5*s + 2*s**w + 0 = 0.
-1, 0, 2/5
Let i = 15 - 11. Suppose -i*r - 6 = -6*r. Factor 1/3 + 0*g + 1/3*g**4 + 0*g**r - 2/3*g**2.
(g - 1)**2*(g + 1)**2/3
Suppose -20 = 3*u + u, -5*x - 4*u - 20 = 0. What is m in 32*m**3 + 0 + 3*m**4 - 35*m**3 + x = 0?
0, 1
Let p = -1/39 - -41/78. Determine o so that -3/2*o**2 + p - o = 0.
-1, 1/3
Solve 0*s - 20/3*s**3 + 5*s**4 + 0 - 20/3*s**2 = 0.
-2/3, 0, 2
Let r(c) = c**4 - c**3 - c**2 + 1. Let m(v) = -66*v**5 - 58*v**4 + 66*v**3 + 58*v**2 - 4*v + 4. Let j(s) = m(s) - 4*r(s). Suppose j(y) = 0. What is y?
-1, 0, 2/33, 1
Let t(u) = u - 5. Let o be t(7). Suppose o*j = 4*j. Factor -1 - 5*w**2 + j + w - w**3 + 6*w**2.
-(w - 1)**2*(w + 1)
Factor -16/11 - 136/11*c + 162/11*c**3 - 252/11*c**2.
2*(c - 2)*(9*c + 2)**2/11
Let j(m) be the first derivative of 1/2*m**3 + 0*m + 1/8*m**2 + 1 + 3/4*m**4 + 1/2*m**5 + 1/8*m**6. Suppose j(b) = 0. What is b?
-1, -1/3, 0
Let q(t) be the second derivative of 5*t**7/42 + t**6/30 - 50*t. Factor q(z).
z**4*(5*z + 1)
Let c be (-6)/10 + (-36)/(-25). Let o = 413/75 - c. Determine h, given that -4/3 - 10/3*h + o*h**2 = 0.
-2/7, 1
Let p(i) be the second derivative of -3*i**2 - 1/10*i**6 + 0 + 3/4*i**4 - 3/20*i**5 + 1/2*i**3 - 2*i. Determine c so that p(c) = 0.
-2, -1, 1
Factor 3/4*l + 0 + 3/4*l**2.
3*l*(l + 1)/4
Let p(c) be the first derivative of 1/5*c**2 + 1/15*c**3 - 1/30*c**4 + 3*c - 1/50*c**5 - 3. Let t(k) be the first derivative of p(k). Factor t(m).
-2*(m - 1)*(m + 1)**2/5
Solve 7*c**3 + 7*c**2 - 1 - 2*c**3 + 2*c + 1 = 0 for c.
-1, -2/5, 0
Let l be -9*(-7 - -2) + 0. Let u be 2/12 + 15/l. Suppose 0 + 1/2*w**4 - u*w**2 + 1/2*w**3 - 1/2*w = 0. What is w?
-1, 0, 1
Let i(b) be the third derivative of -b**7/1050 - b**6/200 - b**5/100 - b**4/120 + 9*b**2. Factor i(c).
-c*(c + 1)**3/5
Let n be 10/15 - 158/3. Let t = n + 262/5. Factor 0*q + t - 2/5*q**2.
-2*(q - 1)*(q + 1)/5
Let f(s) = s**4 + 66*s**3 - 1538*s**2 + 16382*s - 65534. Let h(c) = 2*c**4 + 67*c**3 - 1539*c**2 + 16381*c - 65533. Let x(p) = 3*f(p) - 2*h(p). Factor x(a).
-(a - 16)**4
Let m(s) = 3*s - 2 + 3*s**3 + 5 + 0*s**3 + 2*s - 3*s**2. Let c(n) = -n**3 + n**2 - 2*n - 1. Let i(t) = -8*c(t) - 3*m(t). Determine w, given that i(w) = 0.
-1, 1
Let r(s) = s**3 - 7*s**2 - 9*s + 4. Let h be r(8). Let o be 3/h*(2 - 6). Factor 3*d**4 - d**5 + 4*d**3 - 5*d**3 + d**2 - 2*d**o.
-d**2*(d - 1)**3
Determine m so that -4/3*m**4 + 0*m + 0*m**2 + 4/3*m**3 + 0 = 0.
0, 1
Let j(b) be the first derivative of -b**6/36 - 2*b**5/15 - 5*b**4/24 - b**3/9 + 14. Factor j(i).
-i**2*(i + 1)**2*(i + 2)/6
Suppose 0 = 4*q - 10 + 2. Let c(g) be the second derivative of 1/12*g**4 - 1/30*g**6 + 0*g**2 + q*g - 1/20*g**5 + 1/42*g**7 + 0 + 0*g**3. Factor c(s).
s**2*(s - 1)**2*(s + 1)
Let i(q) = q**4 - q**3 - q**2. Suppose -4*z + 16 = -4. Suppose z*x = 3*x + 2. Let f(r) = -2*r**4 + 6*r**2 - r. Let y(o) = x*f(o) + 3*i(o). Solve y(b) = 0.
0, 1
What is v in 2/3*v**2 + 0 - 2*v**3 + 4/3*v = 0?
-2/3, 0, 1
Let b be ((-9)/12)/((-6)/16). Factor -z + 3/2*z**b + 0 - 1/2*z**3.
-z*(z - 2)*(z - 1)/2
Let h = -710 + 3563/5. Let p = 101/35 - h. Solve 0*i + 0 - p*i**2 = 0 for i.
0
Find v, given that 4*v**3 - 2*v**4 + 2 + 5*v + 8*v**2 + 2*v**3 - v**5 + 2*v - 4*v**3 = 0.
-1, 2
Let n(z) = -z**2 - 10*z - 14. Let l be n(-8). Suppose 3*v = 3*x + 12, 3*v - l*v = 5*x + 8. Suppose b**2 + 1/3*b**v + 1/3 + b = 0. What is b?
-1
Find m, given that 5*m**3 - 86*m**2 + 178*m**2 - 87*m**2 = 0.
-1, 0
Let u(f) be the second derivative of 5*f**4/12 + 25*f**3/6 + 15*f**2 - 2*f + 4. Factor u(g).
5*(g + 2)*(g + 3)
Let k(i) be the third derivative of i**5/120 - 7*i**4/12 + 49*i**3/3 - 26*i**2. Solve k(a) = 0 for a.
14
Suppose 4*r = -4 - 20. Let x(k) = 3*k**3 + 11*k**2 + 5. Let z(p) = -4*p**3 - 12*p**2 - 6. Let y(q) = r*x(q) - 5*z(q). Suppose y(t) = 0. Calculate t.
0, 3
Let d(c) be the second derivative of -c**5/60 + c**4/24 + c**2 + 2*c. Let f(h) be the first derivative of d(h). Factor f(j).
-j*(j - 1)
Let k(d) be the first derivative of d**6/3 - d**4/2 - 22. Factor k(o).
2*o**3*(o - 1)*(o + 1)
Suppose -10 = z - 3*z. Suppose -p - l - l + 11 = 0, -p + 2*l = z. Factor -6/7*t**p + 0 - 2/7*t + 8/7*t**2.
-2*t*(t - 1)*(3*t - 1)/7
Suppose -5*n + 0 = -35. Factor 5*z**4 + 6*z**2 - 9*z**3 - 9*z**4 + n*z**4.
3*z**2*(z - 2)*(z - 1)
Let r(s) be the second derivative of s**6/120 + 7*s. Suppose r(t) = 0. 