0 + 1/2*d + 1/2*d**2 = 0.
-1, 0
Let g(j) = -j**2 - j + 2. Let s be g(0). Let v = 4 - s. Suppose 4*k**2 + k**2 - 7*k**v = 0. What is k?
0
Let q(l) = 1 + l**3 + 3*l**3 + 3*l**2 - 3*l**3 - 2*l**2. Let k(o) = 4*o**3 + 6*o**2 + 2*o + 5. Let b(x) = k(x) - 5*q(x). What is w in b(w) = 0?
-1, 0, 2
Factor 14*n**2 + 0*n**3 - 37*n**2 + 19*n**2 - 8*n + 4*n**4 + 8*n**3.
4*n*(n - 1)*(n + 1)*(n + 2)
Let s(h) be the first derivative of 2/21*h**3 - 1/21*h**6 + 8/7*h - 2/7*h**5 + 8/7*h**2 - 1/2*h**4 - 1. Solve s(d) = 0 for d.
-2, -1, 1
Let o(n) be the first derivative of 3*n**5/25 + 3*n**4/10 + n**3/5 - 3. Find i such that o(i) = 0.
-1, 0
Let b = -1 - -2. Let -3*t**2 - b - t**3 + 4*t**2 + 0*t - t + 2*t = 0. What is t?
-1, 1
Suppose -4*s + 2/5*s**2 + 10 = 0. Calculate s.
5
Let k(s) be the third derivative of s**5/210 + s**4/42 + s**3/21 + 5*s**2. Factor k(p).
2*(p + 1)**2/7
Let l(h) = -3*h**4 + h**2 - 2*h. Let m(x) be the second derivative of x**6/3 - x**4/6 + x**3 + 7*x. Let r(v) = 7*l(v) + 2*m(v). Factor r(o).
-o*(o - 1)**2*(o + 2)
Let q = -753/5 - -151. Let s(w) be the first derivative of 0*w + 3 + 2/15*w**3 + q*w**2. Factor s(p).
2*p*(p + 2)/5
Let a be (-4 - -1)/(3/2). Let r(z) = -2*z**3 - 3*z**2 - 2*z - 3. Let y be r(a). Find b, given that -3*b**2 - b**3 + 2*b**3 - 2 - 2*b + y*b**2 + b**3 = 0.
-1, 1
Let m be (-117)/(-30) + 4/(-10). Let q(v) be the first derivative of m*v**4 - 32/3*v**3 + 11*v**2 - 4*v + 2. Determine k, given that q(k) = 0.
2/7, 1
Let a = 98 - 98. Determine i, given that -3/5*i**4 + a*i + 0 + 4/5*i**2 + 9/5*i**5 - 8/5*i**3 = 0.
-1, 0, 2/3
Let k(c) = c - 12. Let x be k(12). What is a in x*a**2 + 5*a**2 - 2*a - 3*a**2 = 0?
0, 1
Suppose 2*q - 3*m - 18 = 0, -2*m - 2*m = -q + 19. Factor 0*s + s - q*s**2 + 7*s**2.
s*(4*s + 1)
Let r be (-2)/(-6)*1*1. Let h = 4 - 1. Factor b**2 + b + 1/3 + r*b**h.
(b + 1)**3/3
Let d(b) be the second derivative of -b**5/20 + b**4/16 + b**3/24 + 5*b. Factor d(n).
-n*(n - 1)*(4*n + 1)/4
Let q(g) be the third derivative of g**7/70 - g**6/20 - 3*g**5/20 + g**4/2 + 2*g**3 - 6*g**2. Factor q(r).
3*(r - 2)**2*(r + 1)**2
Suppose -f + x - 4 = 3*x, -5*f + 32 = -3*x. Factor l**4 + l**3 - 7*l**5 + 5*l**f - l**4 + l**3.
-l**3*(l - 1)*(7*l + 2)
Let w(t) be the first derivative of -t**6/40 - t**5/15 - t**4/18 + 2*t**2 + 2. Let r(k) be the second derivative of w(k). Factor r(q).
-q*(3*q + 2)**2/3
Find q such that 5/2*q**4 + 5/2*q**5 - 15/2*q**3 - 25/2*q**2 - 5*q + 0 = 0.
-1, 0, 2
Let f(y) be the third derivative of y**8/336 - y**7/70 + y**6/60 + y**5/30 - y**4/8 + y**3/6 + 9*y**2. Determine m, given that f(m) = 0.
-1, 1
Let s(o) be the second derivative of 5*o**7/21 - o**6/6 - o**5 + 5*o**4/6 + 5*o**3/3 - 5*o**2/2 - 23*o. Solve s(k) = 0.
-1, 1/2, 1
Determine c so that 30*c + 21*c**2 + 0 - 21 + 27*c + 3 = 0.
-3, 2/7
Let k(j) be the third derivative of -1/420*j**6 + 0*j**3 + 0*j + 0 + 1/210*j**5 + j**2 + 1/42*j**4. Factor k(q).
-2*q*(q - 2)*(q + 1)/7
Let s(k) = 17*k**5 + 25*k**4 + 11*k**3 - 19*k**2 - 2*k + 2. Let w(m) = 8*m**5 + 12*m**4 + 5*m**3 - 9*m**2 - m + 1. Let f(p) = 4*s(p) - 9*w(p). Factor f(i).
-(i + 1)**3*(2*i - 1)**2
Suppose 3*r - 14 = r. Suppose -5 = -4*y + r. Factor -3*b**2 - 4*b**3 + 0*b**2 - y*b + 3*b**3 - 1.
-(b + 1)**3
Suppose -p = -3*p + 6. Suppose -2*r - 8 = p*b - 0*r, b = 2*r + 8. Factor -3/2*v**3 + v**2 + v**4 - 1/4*v + b - 1/4*v**5.
-v*(v - 1)**4/4
Let d(m) be the first derivative of 0*m + 8 + 1/14*m**4 + 0*m**3 + 0*m**2. Factor d(u).
2*u**3/7
Let r(v) be the first derivative of 1/12*v**4 + 1 + 0*v**2 + 0*v**3 + 1/15*v**5 + 0*v. Find m, given that r(m) = 0.
-1, 0
Let t(h) be the third derivative of -5*h**8/1344 + 11*h**7/420 - h**6/160 - 11*h**5/120 + h**4/12 - 30*h**2. Suppose t(k) = 0. Calculate k.
-1, 0, 2/5, 1, 4
Let b(l) be the first derivative of -4 + 2/3*l**3 - 1/2*l**4 + 0*l**2 + 0*l. Solve b(j) = 0.
0, 1
Suppose 3*j + 1 + 8 = 2*p, -j + 3 = 0. Let c be (-2)/3 - (-33)/p. Factor -4*x**3 + 3*x**3 + 4*x**3 - 4*x**c + 2*x**2.
-x**2*(x - 2)
Factor -10/17*t**2 - 2/17*t**4 - 8/17*t**3 + 0 - 4/17*t.
-2*t*(t + 1)**2*(t + 2)/17
Let i(s) be the first derivative of 0*s + 3/2*s**4 - s**3 + 4 - 3/5*s**5 + 0*s**2. Determine f, given that i(f) = 0.
0, 1
Let w = -8/5 + 53/30. Let o(l) be the second derivative of -w*l**2 - l + 0 - 1/36*l**4 + 1/9*l**3. Factor o(s).
-(s - 1)**2/3
Let b(w) be the third derivative of -w**7/1260 - w**6/360 - w**4/12 - 2*w**2. Let o(f) be the second derivative of b(f). Let o(h) = 0. Calculate h.
-1, 0
Suppose -a - 7 = -0*a. Let x(r) = -r**3 - 6*r**2 + 8*r + 10. Let h be x(a). Factor 2*k**4 + k**4 - k**h - 4*k**4.
-k**3*(k + 1)
Let j be (-135)/(-36) - (-2)/8. Find r such that -24*r**2 + 11*r**j - 16*r - 10*r**4 + 0*r**3 - 16*r**3 - 4 - 5*r**4 = 0.
-1
Let g = 28 + -28. Let f(u) be the first derivative of 0*u**2 - 2/25*u**5 + g*u**3 + 1/10*u**4 - 2 + 0*u. Find k such that f(k) = 0.
0, 1
Let a = -483/5 + 97. Factor 0*t + a - 2/5*t**2.
-2*(t - 1)*(t + 1)/5
Suppose 3*l + 2*l + 2*o = -45, -5*l + 4*o = 45. Let z be ((-6)/l)/(2/12). Factor -5*m + 5*m + z - 4*m + m**2.
(m - 2)**2
Let t(f) be the third derivative of 0 + 1/15*f**5 - 2*f**2 - 1/24*f**4 + 0*f + 1/40*f**6 - 1/3*f**3. Let t(g) = 0. Calculate g.
-1, 2/3
Factor 4/9*o - 1/9*o**2 - 4/9.
-(o - 2)**2/9
Suppose 3*o + 0*o - 2 = -4*a, -5*o + 2*a + 12 = 0. Let g(v) = v**3 - 2*v. Let d(t) = t**2 + t - 1. Let k(m) = o*d(m) + 2*g(m). Factor k(n).
2*(n - 1)*(n + 1)**2
Let s(z) be the first derivative of -z**4/12 - 5*z**3/3 - 21*z**2/2 - 49*z/3 - 13. Suppose s(w) = 0. What is w?
-7, -1
Let l(r) be the first derivative of r**4/4 - r**3/3 - r**2/2 + r + 4. Solve l(i) = 0 for i.
-1, 1
Let o = -7 - -14. Let d be (-35)/25*(-2)/o. Factor 0 + 0*q**2 + d*q**3 - 2/5*q.
2*q*(q - 1)*(q + 1)/5
Let g(q) be the third derivative of -q**7/210 - q**6/120 + q**5/60 + q**4/24 - 10*q**2. Factor g(r).
-r*(r - 1)*(r + 1)**2
Let a(b) be the first derivative of -b**5/90 - b**4/18 - b**3/9 - b**2/9 + 4*b - 9. Let z(w) be the first derivative of a(w). Suppose z(f) = 0. Calculate f.
-1
Suppose -1 = -3*k + 2*t, 2*k - 14 = -3*t + t. Factor 9*g**3 - g + g**2 - 8*g**k - 2*g**4 + g**4.
-g*(g - 1)**2*(g + 1)
Let -3/5*r**2 - 12/5*r**4 - 3*r**3 + 0 + 0*r = 0. What is r?
-1, -1/4, 0
Let m(f) be the third derivative of 0*f + 0*f**3 + 0 + 1/300*f**5 + 1/120*f**4 + 2*f**2. Find r, given that m(r) = 0.
-1, 0
Let h(r) be the first derivative of 0*r**4 + 2/3*r**3 - r + 0*r**2 - 1/5*r**5 - 3. Find u such that h(u) = 0.
-1, 1
Suppose -5*c + 1 + 9 = 0. Factor 5*x**5 + 0*x - c*x**2 - 4*x**5 + 2*x**4 - x + 0*x**4.
x*(x - 1)*(x + 1)**3
Factor 7*u**4 - 80*u**2 + 208*u**5 - 203*u**5 - 20*u**3 + 8*u**4 + 80.
5*(u - 2)*(u - 1)*(u + 2)**3
Let j(g) be the second derivative of -1/27*g**3 + 0*g**2 + 3*g - 1/54*g**4 + 0. Factor j(p).
-2*p*(p + 1)/9
Let -1/3*a**2 + 0 + a = 0. What is a?
0, 3
Suppose 0 = l - 4*f - 7, -2*l = -f - 7. Solve 10*v + 4*v**2 + 2*v**l - 8*v**4 - 6*v**5 - 10*v = 0.
-1, 0, 2/3
Let s be (-2)/9 + 1/((-252)/(-128)). Let 2/7*o**2 - s*o + 0 = 0. Calculate o.
0, 1
Suppose 0*u + 2/11*u**4 + 4/11*u**2 + 0 - 6/11*u**3 = 0. What is u?
0, 1, 2
Let j(s) be the second derivative of s**8/1680 - s**6/360 + s**3 - 4*s. Let p(w) be the second derivative of j(w). Suppose p(d) = 0. What is d?
-1, 0, 1
Suppose -2*n + 14 = -z, -2*n - 2*z - 2 = -4. Let b(r) be the first derivative of 0*r**3 - 1 + 0*r**2 + 0*r - 1/2*r**4 + 2/5*r**n. Factor b(t).
2*t**3*(t - 1)
Factor 4/5*z**2 + 8/15*z**3 + 2/15*z**4 + 2/15 + 8/15*z.
2*(z + 1)**4/15
Let x(t) = 6*t**2 - 45*t + 24. Let j(g) = 5*g**2 - 46*g + 24. Let v(l) = -3*j(l) + 4*x(l). Let v(a) = 0. Calculate a.
2/3, 4
Factor -2/3*i**3 - 8/3*i**2 - 2*i + 0.
-2*i*(i + 1)*(i + 3)/3
Let q(w) be the first derivative of 3*w**5/20 - w**4/4 + w - 3. Let m(u) be the first derivative of q(u). Factor m(o).
3*o**2*(o - 1)
Let u = 657 - 442. Let o = -2789/13 + u. Factor o*p**3 - 2/13*p**4 + 0 + 2/13*p - 6/13*p**2.
-2*p*(p - 1)**3/13
Suppose -2*q = -3*q - 6. Let m(j) = -j**3 - 6*j**2 + j + 8. Let f be m(q). Suppose 2*x**2 + 4*x + 1 + 4*x**3 + x**4 + 0*x**2 - 2*x**f + 6*x**2 = 0. Calculate x.
-1
Let -4*c - 10*c + 15*c**3 + 8*c - 15*c**4 + 15*c**2 - 9*c**5 = 0. Calculate c.
-2, -1, 0, 1/3, 1
Let n(y) = -20*y**3 - 11*y**2 + 20*y + 11. Let b(t) = -7*t**3 - 4*t**2 + 7*t + 4. Let r(s) = 11*b(s) 