*h**3 - 3. Determine j so that b(j) = 0.
-2, 1
Let f = -6 - -6. Let l(g) be the third derivative of -2*g**2 - 1/30*g**5 + 1/9*g**3 + 1/18*g**4 + f + 0*g. Factor l(d).
-2*(d - 1)*(3*d + 1)/3
Suppose -k + 0*k + 27 = 0. Let l be (-4)/18 + 141/k. Factor 2*d + 2*d**2 - 3*d**3 - l*d + 0*d**2 + 4*d.
-d*(d - 1)*(3*d + 1)
Suppose -2*n + 3 + 1 = 0. Let t be -1*(4 - 4 - 3). Suppose -2/7*o**4 - 2/7 - 2/7*o**5 + 4/7*o**t + 4/7*o**n - 2/7*o = 0. Calculate o.
-1, 1
Factor -2*u**4 + u**4 - 2*u**5 - 2*u**2 + 3*u**4 + 2*u**3.
-2*u**2*(u - 1)**2*(u + 1)
Suppose 2*n - 3*y = 7, 0 = -36*n + 31*n + y + 11. Solve -9/5 - 6/5*o - 1/5*o**n = 0.
-3
Determine f so that -76 - 81*f - 3*f**3 - 27*f**2 - 20 + 15 = 0.
-3
Let k(j) be the second derivative of -5*j**4/12 + 5*j**2/2 + 8*j. Factor k(g).
-5*(g - 1)*(g + 1)
Let o(h) = -h**2 + 10*h - 27. Let q(u) = -5*u**2 + 50*u - 136. Let z(y) = -11*o(y) + 2*q(y). Factor z(s).
(s - 5)**2
Suppose -4 = -3*c - i + 6*i, -5*c + i + 36 = 0. Let o = c - 6. Factor 12/5*z**o + 8/5*z + 1/5*z**4 + 0 + 6/5*z**3.
z*(z + 2)**3/5
Let p(g) be the first derivative of g**4/36 + 2*g**3/27 - 7*g**2/18 + 4*g/9 - 45. Let p(a) = 0. Calculate a.
-4, 1
Let o(h) be the third derivative of 0 + 0*h + 1/90*h**5 + 8*h**2 + 0*h**3 - 1/315*h**7 + 1/1008*h**8 + 0*h**6 - 1/72*h**4. Factor o(x).
x*(x - 1)**3*(x + 1)/3
Let z be 2*-2*(-6)/8. Suppose -2*i = -2*q + 8, 0 = -2*q - q - z*i + 18. Find m, given that 0 - 3/4*m**3 - 1/4*m**4 + 1/4*m**2 + 1/2*m + 1/4*m**q = 0.
-1, 0, 1, 2
Let b(n) be the second derivative of -1/6*n**3 - 1/240*n**5 + n - 1/24*n**4 + 0 + 3/2*n**2. Let g(c) be the first derivative of b(c). Let g(r) = 0. Calculate r.
-2
Let s(p) be the first derivative of -p**4/10 + 8*p**3/15 - 4*p**2/5 + 6*p + 4. Let d(c) be the first derivative of s(c). Let d(r) = 0. What is r?
2/3, 2
Let l be 13/(-65) - 148/(-210). Let s = l - -2/21. Suppose 0 + 0*u**3 - 3/5*u**2 + 0*u + s*u**4 = 0. Calculate u.
-1, 0, 1
Let i = -2 + 5. Suppose -5*d - i*j = -14, -3*d + 10 = -j + 2*j. Solve 2*b**4 + b**d - b**2 - 6*b**4 + 4*b**4 = 0 for b.
-1, 0, 1
Let r = 122 + -608/5. What is o in -2/5 - r*o**2 + 4/5*o = 0?
1
Let l(z) = -3*z**5 + 3*z**4 + z**3 + z**2 - 2. Let g(r) = -4*r**5 + 4*r**4 + r**3 + 2*r**2 - 3. Let t(f) = -2*g(f) + 3*l(f). Determine k, given that t(k) = 0.
-1, 0, 1
Let n = 96 + -93. Factor 10/3*k + 14/3*k**n - 6*k**2 - 2/3 - 4/3*k**4.
-2*(k - 1)**3*(2*k - 1)/3
Let f(k) = -k**4 + 2*k**3 + k**2 - 2*k. Let o(x) = 7*x**4 - 12*x**3 - 7*x**2 + 12*x. Let v(z) = 39*f(z) + 6*o(z). Factor v(c).
3*c*(c - 1)*(c + 1)*(c + 2)
Suppose 5*r - 23 = -u, -4*r - 8 = -6*r. Let w be 6/4*(0 - -2). Factor -l**4 + l + l**5 + 6*l**3 + w*l**2 - u*l**4 - 7*l**2.
l*(l - 1)**4
Let o(q) be the second derivative of -1/3*q**4 + 2/15*q**5 + 3*q + 0 - q**2 + 1/3*q**3. Let v(a) be the first derivative of o(a). Let v(p) = 0. Calculate p.
1/2
Let q(v) be the second derivative of v**7/105 + v**6/60 + 3*v**2/2 - 2*v. Let x(o) be the first derivative of q(o). Suppose x(t) = 0. Calculate t.
-1, 0
Let x = -1/17 + 39/85. Suppose -x*h + 0 + 2/5*h**3 + 0*h**2 = 0. What is h?
-1, 0, 1
Let y(i) = -i + 18. Let u be y(18). Factor -1/4*f**4 + 1/4*f**2 + u*f + 0 + 0*f**3.
-f**2*(f - 1)*(f + 1)/4
Suppose -4*f + 88 = 4*y, -3*f + 39 = 4*y - 2*y. Determine h so that -5*h**3 + y*h - 18*h + 2*h**3 + 6*h**2 = 0.
-1, 0, 3
Let x be (4 - (-244)/(-70)) + (-4)/(-14). Suppose 0 + 4/5*s**2 + 0*s**3 - x*s**4 - 2/5*s**5 + 2/5*s = 0. Calculate s.
-1, 0, 1
Factor 0 + 0*j + 2*j**2 - 1/2*j**3.
-j**2*(j - 4)/2
Let g(c) be the third derivative of -c**7/105 - c**6/48 - c**5/120 - 5*c**2. Factor g(z).
-z**2*(z + 1)*(4*z + 1)/2
Find t such that -t - 1/8*t**2 - 2 = 0.
-4
Let d(o) = -11*o**3 - o**2 + 17*o + 24. Let q(h) be the first derivative of h**4/2 - 3*h**2/2 - 4*h - 4. Let y(x) = 6*d(x) + 34*q(x). Find i such that y(i) = 0.
-1, 2
Suppose -4*p - 4 = -64. Let z(s) = -6*s**3 - 7*s**2 - s - 5. Let k(r) = -3*r**2 + 9 - 3*r**3 - 11 + 0*r**2. Let m(i) = p*k(i) - 6*z(i). Factor m(t).
-3*t*(t + 1)*(3*t - 2)
Let h be (6/3)/(3/6). Suppose -n = h, 24 = 2*o - 3*n - 2*n. Factor 0 - 4/3*s + 2/3*s**3 + 2/3*s**o.
2*s*(s - 1)*(s + 2)/3
Let -15*g**4 - 120*g - 10*g**3 + 44*g**2 + 31*g**2 + 12*g**3 + 48 + 13*g**3 - 3*g**5 = 0. Calculate g.
-4, 1
Let m(i) be the third derivative of i**7/14 - 7*i**6/40 + i**5/10 + 25*i**2. Find d, given that m(d) = 0.
0, 2/5, 1
Let w(q) = q**2 + 9*q + 10. Let d be w(-8). Find b such that 0 - 1/4*b + 3/4*b**d = 0.
0, 1/3
Let u(h) be the first derivative of h**4/16 + h**3/6 - h**2/8 - h/2 + 23. Factor u(c).
(c - 1)*(c + 1)*(c + 2)/4
Let b = 1/53 - -23/1590. Let s(x) be the third derivative of 0 + 1/105*x**7 - 3*x**2 - 1/60*x**6 - b*x**5 + 1/168*x**8 + 0*x + 0*x**3 + 0*x**4. Factor s(d).
2*d**2*(d - 1)*(d + 1)**2
Let p be 30/(-25)*60/(-27). Find b such that -p*b**4 + 0 - 2*b**3 + 0*b - 10/9*b**5 - 4/9*b**2 = 0.
-1, -2/5, 0
Let m(c) be the second derivative of 4*c**6/135 - 7*c**5/90 - c**4/27 - 3*c. Let m(s) = 0. What is s?
-1/4, 0, 2
Let r be (-10)/25 + 24/10. Let g = 5 - r. What is i in -2*i**g - 3*i**5 + i**4 + i**3 - i**2 - i**5 + 5*i**5 = 0?
-1, 0, 1
Let z(f) be the third derivative of f**8/10080 - f**6/1080 + f**4/12 + 3*f**2. Let j(y) be the second derivative of z(y). Factor j(g).
2*g*(g - 1)*(g + 1)/3
Let v(l) be the first derivative of -l**5/10 - 5*l**4/8 - 4*l**3/3 - l**2 + 5. What is b in v(b) = 0?
-2, -1, 0
Let a(q) be the first derivative of -2/3*q**2 - 2/3*q - 2/9*q**3 - 3. Factor a(u).
-2*(u + 1)**2/3
Let y(x) be the first derivative of 8/15*x**3 + 1/4*x**4 + 1/25*x**5 - 1 + 2/5*x**2 + 0*x. Factor y(a).
a*(a + 1)*(a + 2)**2/5
Let o(i) be the third derivative of 0 - 1/48*i**4 + 1/240*i**6 + 0*i + 7*i**2 + 0*i**5 + 0*i**3. Let o(d) = 0. What is d?
-1, 0, 1
Let i(v) be the third derivative of -v**7/280 - v**6/240 + v**5/80 - v**3/2 + 3*v**2. Let z(b) be the first derivative of i(b). Factor z(a).
-3*a*(a + 1)*(2*a - 1)/2
Factor -3*u - 2*u - u - 3*u**2 + 0*u - 3.
-3*(u + 1)**2
Let j be 1/((-26)/(-2) - -2). Let l(v) be the third derivative of -1/60*v**6 + 0*v - 1/12*v**4 - 2*v**2 + j*v**5 + 0 + 0*v**3. Factor l(h).
-2*h*(h - 1)**2
Let p(t) be the second derivative of t**4/3 + 16*t**3/3 + 32*t**2 + t. Factor p(n).
4*(n + 4)**2
Let i(u) = u**4 + u**3 - u - 1. Let f(p) = 4*p**4 + 8*p**3 + 4*p**2 - 10*p - 10. Let v(k) = f(k) - 10*i(k). Solve v(t) = 0 for t.
-1, 0, 2/3
Let w = 20165696/301 + -66996. Let l = -2/43 - w. Factor -2/7*i**4 + 2/7*i + 4/7*i**2 - 4/7*i**3 + l*i**5 - 2/7.
2*(i - 1)**3*(i + 1)**2/7
Let k(o) = -2*o**4 - 6*o**3 + 8*o. Let a(v) = v**2 + 6*v + 1. Let h be a(-7). Let s(p) = 3*p**4 + 9*p**3 - 12*p. Let d(y) = h*k(y) + 5*s(y). Factor d(i).
-i*(i - 1)*(i + 2)**2
Let g(f) be the first derivative of -f**5/25 - 3*f**4/20 - f**3/5 - f**2/10 - 7. What is k in g(k) = 0?
-1, 0
Let s = 81 - 80. Factor -3/2*k + s + 1/2*k**2.
(k - 2)*(k - 1)/2
Let b(v) be the first derivative of 2*v**3/45 - v**2/15 + 7. Solve b(h) = 0 for h.
0, 1
Determine i, given that 4/7*i**3 - 12/7*i**4 + 4/7*i**5 + 0 + 12/7*i**2 - 8/7*i = 0.
-1, 0, 1, 2
Let w be 2 + -2*(-10)/4. Suppose w = 5*h - 3. Factor h*m**3 - 5*m**2 + 3*m**2 - 3*m - m.
2*m*(m - 2)*(m + 1)
Let p(i) = -103*i**3 - 83*i**2 - 16*i + 3. Let a(t) = 928*t**3 + 748*t**2 + 144*t - 28. Let n(l) = -3*a(l) - 28*p(l). Solve n(v) = 0.
-2/5, 0
Factor 0*r - 8*r - 36*r**2 + 4*r**5 + 12*r**4 + 6*r**3 + 24*r**2 - 2*r**3.
4*r*(r - 1)*(r + 1)**2*(r + 2)
Let l be -1*(9/36 - (-9)/(-4)). Factor 6/7*y - 2/7*y**l - 4/7.
-2*(y - 2)*(y - 1)/7
Let u(v) = -5*v**3 + 5*v**2 - 4*v - 5. Suppose -4*h - 7 - 9 = 0. Let i(w) = 2*w**3 - 2*w**2 + 2*w + 2. Let j(l) = h*u(l) - 9*i(l). Factor j(y).
2*(y - 1)**2*(y + 1)
Let d(t) = -t**2 - 2*t + 2. Let f be d(-2). Let u = -10 + 12. Suppose n - 4*n + 4 - u + n**f = 0. Calculate n.
1, 2
Suppose 0 = -3*i + 5*k + 9, -7*k = i - 3*k - 3. Let r(u) be the first derivative of 2/9*u**i - 1 + 0*u - 1/3*u**2. Determine y, given that r(y) = 0.
0, 1
Suppose -11*p = -6*p - 10. Let s(x) be the second derivative of 1/3*x**3 + 0 + 0*x**4 + 1/2*x**p + 2*x - 1/30*x**6 - 1/10*x**5. Factor s(v).
-(v - 1)*(v + 1)**3
Let k(i) = -24*i**2 + 15*i + 6. Let l(m) = 25*m**2 - 15*m - 6. Let j = -1 - 3. Let c(p) = j*k(p) - 3*l(p). Factor c(z).
3*(z - 1)*(7*z + 2)
Let b(c) = c**2 - 6*c + 2. Let x be b(6). 