t v be (-4)/18 - 20/(-9). Solve 0 + n*r + 5/4*r**v + 3/4*r**3 = 0.
-1, -2/3, 0
Let o(h) be the first derivative of -h**7/6300 + h**6/1350 + h**5/900 - h**4/90 - 7*h**3/3 + 3. Let b(z) be the third derivative of o(z). Factor b(c).
-2*(c - 2)*(c - 1)*(c + 1)/15
Let n(r) be the first derivative of 1/15*r**3 - 2*r - 1/30*r**4 - 2 + 0*r**2. Let d(i) be the first derivative of n(i). Determine y, given that d(y) = 0.
0, 1
Let j(p) be the third derivative of 11*p**8/112 - 9*p**7/70 - p**6/20 + 8*p**2. Solve j(b) = 0 for b.
-2/11, 0, 1
Let m = 2 + 0. Let z(f) = 2 - 5 - 4 - 3*f**m. Let r(p) = p**2 + 3. Let n(t) = -5*r(t) - 2*z(t). Factor n(v).
(v - 1)*(v + 1)
Let s(w) be the second derivative of 2*w**6/45 - 2*w**4/9 + 2*w**2/3 + 3*w. Suppose s(b) = 0. What is b?
-1, 1
Let x = -4 - -10. Suppose 0 = -3*o - q, -2*o + x*o - 1 = -q. Factor -5/2*l**4 - 9/2*l**2 + 1/2*l - 13/2*l**3 + o.
-(l + 1)**3*(5*l - 2)/2
Let g(u) be the second derivative of -u**7/1155 + u**5/330 + 3*u**2/2 + u. Let n(v) be the first derivative of g(v). Factor n(l).
-2*l**2*(l - 1)*(l + 1)/11
Let h be 0/(((-2)/2)/1). Solve -2*p + h*p**2 + p - 2*p**2 = 0.
-1/2, 0
Let i(l) = 2*l**5 - 2*l**4 - 8*l**3 - 8*l**2 + 6*l + 2. Let c(d) = d**4 + d**3 + d**2 - d. Let g(o) = 4*c(o) + i(o). Let g(v) = 0. Calculate v.
-1, 1
Let c(m) be the first derivative of -3/5*m**5 - m**3 - 3/2*m**4 + 0*m**2 + 0*m + 3. Determine z, given that c(z) = 0.
-1, 0
Suppose 42 - 39 = j. Factor 4/15*c**j + 0*c**4 - 2/15*c**5 - 2/15*c + 0*c**2 + 0.
-2*c*(c - 1)**2*(c + 1)**2/15
Let j = -46439/120 - -387. Let g(s) be the second derivative of j*s**6 - 1/48*s**4 - 1/24*s**3 - s + 1/80*s**5 + 0 + 0*s**2. Determine z, given that g(z) = 0.
-1, 0, 1
Let q = -6 - -14. Let a = q + -3. Solve -6/7*v**a - 2/7*v**4 + 0*v + 0 + 6/7*v**3 + 2/7*v**2 = 0.
-1, -1/3, 0, 1
Let p(z) be the third derivative of 1/12*z**4 - 1/240*z**5 + 0*z - 2/3*z**3 - z**2 + 0. Determine t, given that p(t) = 0.
4
Let p(i) be the second derivative of 2*i**7/735 + i**6/420 - i**5/42 + i**4/42 - 2*i**2 - 4*i. Let y(n) be the first derivative of p(n). Solve y(m) = 0 for m.
-2, 0, 1/2, 1
Suppose 0 - 8/3*p - 7/3*p**4 + 28/3*p**2 + 2/3*p**3 = 0. What is p?
-2, 0, 2/7, 2
Determine o, given that 2/3*o**2 + 28/3*o + 98/3 = 0.
-7
Let w(o) be the first derivative of o**6/2 + 3*o**5 + 21*o**4/4 + 3*o**3 - 22. Let w(d) = 0. Calculate d.
-3, -1, 0
Let w(m) = -m**2 + 4*m**2 - 2*m**3 - m**3 - m + 5 - 4*m**4. Let k = 3 + 2. Let i(z) = 3*z**4 + 3*z**3 - 3*z**2 + z - 4. Let t(j) = k*i(j) + 4*w(j). Factor t(g).
-g*(g - 1)**3
Let q be 38/48 + (-4)/6. Let z(l) be the first derivative of -q*l**2 + 0*l - 1/12*l**3 - 2. Find p, given that z(p) = 0.
-1, 0
Factor 4/11*r**3 + 0*r + 18/11*r**4 + 0 + 14/11*r**5 + 0*r**2.
2*r**3*(r + 1)*(7*r + 2)/11
Let n(w) be the second derivative of -w**6/90 + 8*w. Factor n(v).
-v**4/3
Let y be 6/54*6 + (-7)/(-3). Factor 3/2*i**2 - 9/2*i**4 - 3*i + 0 + 6*i**y.
-3*i*(i - 1)**2*(3*i + 2)/2
Let f(u) = -3*u**2 - 5*u + 8. Suppose 4*n - g = -14, 4*n - g + 2*g = -18. Let w(r) = r**2 + 2*r - 3. Let a(m) = n*f(m) - 11*w(m). Factor a(b).
(b - 1)**2
Let a = -24 + 27. Factor o**4 - 1/2*o**2 + 0*o - 1/2*o**a + 0.
o**2*(o - 1)*(2*o + 1)/2
Let x(c) = -c**2 + c + 1. Let n(z) = 6*z**2 - 5*z - 9. Let h(u) = 2*n(u) + 10*x(u). Factor h(q).
2*(q - 2)*(q + 2)
Let b(o) be the third derivative of -11*o**5/40 - 3*o**4/4 - o**3/4 + 3*o**2 - 14*o. Suppose b(n) = 0. What is n?
-1, -1/11
Determine d so that -93/7*d + 9/7*d**2 + 30/7 = 0.
1/3, 10
Let w = -143 - -145. Let o(n) be the third derivative of -1/36*n**4 + 0*n - 4*n**w + 0 - 1/180*n**5 - 1/18*n**3. Factor o(f).
-(f + 1)**2/3
Suppose 3*p - 4*m + 0*m = -21, 0 = -p + 4*m - 7. Let c(n) = -3*n**2 + 7*n + 1. Let r(s) = 4*s**2 - 10*s - 1. Let i(l) = p*c(l) - 5*r(l). What is f in i(f) = 0?
-2, 1
Let y(m) = -m**5 - 4*m**4 - 3*m**3 + 13*m**2 + 4*m + 1. Let g(b) = -4*b**4 - 4*b**3 + 12*b**2 + 4*b. Let n(h) = -5*g(h) + 4*y(h). Factor n(f).
-4*(f - 1)**3*(f + 1)**2
Let j(h) be the first derivative of h**3/9 - h**2/6 + 3. Solve j(g) = 0 for g.
0, 1
Suppose 3*c + 22 = 5*n, -5*n + 2*c - 3*c + 6 = 0. Factor -1/6*g**3 + 0*g**n + 0*g + 0.
-g**3/6
Suppose 3*j = -2*j - 2*r + 15, -3*j + 5*r + 9 = 0. Solve -2 + 2*d**j + 6*d - 8*d**2 + 0 + 2*d**2 = 0 for d.
1
Let z(s) be the third derivative of -s**7/105 - s**6/15 - s**5/10 + s**4/3 + 4*s**3/3 + 2*s**2. Factor z(t).
-2*(t - 1)*(t + 1)*(t + 2)**2
Let o(y) = -21*y**2 - 32*y - 11. Let m be -3 + 4/((-4)/3). Let n(r) = -21*r**2 - 33*r - 12. Let l(g) = m*o(g) + 5*n(g). Factor l(v).
3*(v + 1)*(7*v + 2)
Let p(s) be the third derivative of s**10/10080 + s**9/1680 + s**8/1120 - s**4/8 + 3*s**2. Let w(t) be the second derivative of p(t). Let w(l) = 0. What is l?
-2, -1, 0
Suppose -2*k + 4*q = -12, 0 = 5*q + 25 - 20. Factor -5*s**2 + k - 3/2*s**3 - 2*s.
-(s + 2)**2*(3*s - 2)/2
Suppose -2 + 210*f**2 - 156*f + 7 + 19 + 147*f**3 = 0. Calculate f.
-2, 2/7
Let v(r) = 2*r**2 - 6*r + 4. Let x(f) = -f - 5*f**2 + 3*f**2 + 7*f - 4. Let s = -11 - -6. Let a(m) = s*v(m) - 4*x(m). Let a(l) = 0. What is l?
1, 2
Let a(o) be the first derivative of 2*o**5/35 + 2*o**4/7 - 4*o**3/21 - 12*o**2/7 + 18*o/7 + 9. Factor a(p).
2*(p - 1)**2*(p + 3)**2/7
Find o such that 3/2*o**2 - 3/4*o**4 - 1/4*o - 1/4*o**5 - 3/4 + 1/2*o**3 = 0.
-3, -1, 1
Let h(j) be the second derivative of 0 - 3/10*j**3 - 3/100*j**5 - 3/10*j**2 - 3/20*j**4 - 3*j. Determine g, given that h(g) = 0.
-1
Let s(h) be the third derivative of 5*h**8/2184 - 2*h**7/1365 - h**6/78 + 2*h**5/195 + 5*h**4/156 - 2*h**3/39 + 4*h**2. Solve s(n) = 0 for n.
-1, 2/5, 1
Suppose 3*i + 2*l + 3*l = 10, 2*i = 4*l - 8. Suppose -4*x + 21 = -z, -3*z - 18 = 2*x - 5*x. Factor x*g**4 + 10/3*g**2 + 20/3*g**3 + i*g + 4/3*g**5 - 1/3.
(g + 1)**4*(4*g - 1)/3
Let t(j) be the third derivative of 5*j**8/1512 + 13*j**7/315 + 28*j**6/135 + 68*j**5/135 + 4*j**4/9 - 16*j**3/27 + 29*j**2. Determine b, given that t(b) = 0.
-2, 1/5
Let w(d) be the third derivative of d**9/30240 - d**5/20 + d**2. Let p(t) be the third derivative of w(t). Determine b, given that p(b) = 0.
0
Let q be (175/40)/7 + 1/(-8). Factor 3/2*g + 1/2*g**3 + 3/2*g**2 + q.
(g + 1)**3/2
Let x be 2 + (0 - 192/5). Let j = -1628/45 - x. Suppose 0*i**2 - 2/9 + j*i**4 + 4/9*i**3 - 4/9*i = 0. What is i?
-1, 1
Let u = 3 + -2. Let v = u + 2. Find b, given that 3*b**3 - 2*b**2 - b**4 + 3*b**4 - 2*b - b**v = 0.
-1, 0, 1
Let j(w) = -w**3 + 3*w**2 + 2. Let z be j(3). Factor q + 3*q**z - 3*q**3 - 3*q**3 + 3*q**3 - 3 + 2*q.
-3*(q - 1)**2*(q + 1)
Let k(v) = -v**4 + 17*v**3 + 13*v**2 - 5*v - 5. Let m(h) = h**4 - 9*h**3 - 7*h**2 + 3*h + 3. Let d(s) = 3*k(s) + 5*m(s). Factor d(j).
2*j**2*(j + 1)*(j + 2)
Let g be ((-4)/(-6))/((-2)/(-15)). Suppose -3*h + g = -1. Suppose a - h*a**2 + 0*a**2 + 0*a**2 + 2*a**4 - a**5 = 0. What is a?
-1, 0, 1
Let k be 1 - (-3 + 4/4). Let r(v) be the first derivative of -k - 1/5*v**2 + 1/15*v**3 + 1/5*v. Factor r(o).
(o - 1)**2/5
Let p = 3 + 4. Let q(u) be the second derivative of -u**2 + 2*u - 1/15*u**6 + 1/3*u**4 - 1/6*u**3 + 1/10*u**5 + 0 - 1/42*u**p. Solve q(v) = 0.
-2, -1, 1
Let o(r) be the second derivative of -r**5/40 + 5*r**4/24 - r**3/6 - 2*r**2 + 2*r. Factor o(z).
-(z - 4)*(z - 2)*(z + 1)/2
Let k(d) be the second derivative of -3*d**5/140 - d**4/28 + 8*d. Factor k(y).
-3*y**2*(y + 1)/7
Solve 6/11*m**2 + 12/11*m**5 - 14/11*m**4 + 0 + 2/11*m - 6/11*m**3 = 0 for m.
-1/2, -1/3, 0, 1
Let x(q) = 242*q**2 - 88*q + 8. Let n(v) = 121*v**2 - 44*v + 4. Let w(s) = -10*n(s) + 4*x(s). Factor w(h).
-2*(11*h - 2)**2
Let x = -3758/9 + 418. Factor 2/9*a**3 - 2/9*a + 4/9*a**2 - x.
2*(a - 1)*(a + 1)*(a + 2)/9
Factor 21*m - 3 + m**3 - 8*m**2 - 7 - 8.
(m - 3)**2*(m - 2)
Let q = -7361794/57785 + -3/11557. Let p = -127 - q. Let 0 - p*w - 2/5*w**2 = 0. Calculate w.
-1, 0
Let f(p) = p**4 + 7*p**3 + 12*p**2 - 13. Let o(i) = -2*i**4 - 13 + 8*i**2 + 3*i**4 + 4 + 5*i**3. Let l(y) = 5*f(y) - 7*o(y). Factor l(j).
-2*(j - 1)**2*(j + 1)**2
Suppose -3*w - 8 = -7*w. Factor 1/4*f**4 + 0 + 1/4*f**3 + 0*f**w - 1/2*f**5 + 0*f.
-f**3*(f - 1)*(2*f + 1)/4
Let x(o) be the second derivative of -o**7/168 + o**5/40 - o**3/24 - 4*o. What is c in x(c) = 0?
-1, 0, 1
Factor 0 - 1/3*m**4 + 1/3*m**2 - 1/3*m**3 + 1/3*m.
-m*(m - 1)*(m + 1)**2/3
Suppose 3*v = 34 - 1. Let j(n) = -8