for c.
2/5, 1
Solve 2*d**4 - 243*d + 2*d**5 - 2*d**3 + 243*d - 2*d**2 = 0.
-1, 0, 1
Let u(n) be the second derivative of 0 + 6*n - 8*n**2 - n**4 + 16/3*n**3. What is c in u(c) = 0?
2/3, 2
Suppose -4*j**4 - 14 + 8*j**2 + 10 + 2*j - 8*j**5 + 16*j**3 - 10*j = 0. Calculate j.
-1, -1/2, 1
Factor -2/3*x**2 + 2*x - 4/3.
-2*(x - 2)*(x - 1)/3
Let m(n) be the first derivative of -2*n - 1/5*n**5 - 1/2*n**2 + 1/4*n**4 - 5 + n**3. Solve m(b) = 0.
-1, 1, 2
Let s(z) be the third derivative of z**5/240 - z**4/48 - 2*z**2. Factor s(l).
l*(l - 2)/4
Let d(l) be the third derivative of -l**6/320 + l**5/160 + l**4/16 - l**3/4 + 5*l**2. Factor d(a).
-3*(a - 2)*(a - 1)*(a + 2)/8
Let y(d) be the first derivative of -3*d**4/10 - 2*d**3/15 + 8*d**2/5 - 8*d/5 + 8. Factor y(g).
-2*(g - 1)*(g + 2)*(3*g - 2)/5
Let d(i) = -i**2 + 27*i - 26. Let n be d(26). Factor 0*m + 2/7*m**5 + 16/7*m**3 - 8/7*m**2 - 10/7*m**4 + n.
2*m**2*(m - 2)**2*(m - 1)/7
Let x = -13 + 15. Let t be 3 - (-1)/(x - 1). Factor 0*q - 2/3*q**5 + 0*q**2 + 0 + 2/3*q**t + 0*q**3.
-2*q**4*(q - 1)/3
Let j be 1/3 - 28/(-6). Let -8*o**2 + j*o**2 + 2*o - 3*o + 4*o = 0. Calculate o.
0, 1
Suppose 3*r + 0*a - 3*a - 12 = 0, 4*r - 4 = -2*a. Let 5 + 2*u**r + 4 - 7 - 4*u = 0. What is u?
1
Factor -1/4*z**2 + z**3 + 0*z + 0 - z**4.
-z**2*(2*z - 1)**2/4
Let g(l) = 4*l**3 - 8*l**2 + 4*l - 4. Let n(o) = -o**3 + o**2 + o + 1. Let a be (-9)/(-36) + 7/4. Let s(f) = a*n(f) + g(f). Determine i, given that s(i) = 0.
1
Let i be (12/(-8))/(9/(-42)). Factor -2*s**2 + 2*s - i*s**3 - 2*s + 0*s.
-s**2*(7*s + 2)
Let a(x) = -3*x**3 - 2*x**2 + 5*x + 4. Let l(k) = -10*k - 4*k**3 - k**3 + 4*k**2 - 9 + 3*k**3 + 7*k**3. Let s(c) = 5*a(c) + 2*l(c). Solve s(h) = 0 for h.
-1, -2/5, 1
Let j(w) = -w**3 - 5*w**2 - 2*w - 7. Let v be j(-5). What is g in 4*g**2 + 4*g - 3*g**v - 10*g**2 + 5*g**3 = 0?
0, 1, 2
Factor -r**2 - 5*r**2 + 13*r**2 + 8*r - 12 - 3*r**2.
4*(r - 1)*(r + 3)
Let l be 0*(8/(-6))/4. Let d(r) be the third derivative of l*r + 1/60*r**6 - 2*r**2 + 0*r**4 + 0*r**3 + 0 + 1/30*r**5. Let d(h) = 0. What is h?
-1, 0
Factor -406 - 5*y**2 + 90*y + 73 + 51 - 123.
-5*(y - 9)**2
Solve -3*z**2 - 4*z**2 + 26*z**2 - 7*z**2 - 8*z - 4*z**3 = 0 for z.
0, 1, 2
Factor 2/7*g**4 + 0*g + 2/7*g**2 + 4/7*g**3 + 0.
2*g**2*(g + 1)**2/7
Factor 3 + 3/2*u - 27/2*u**2 - 15/2*u**4 - 39/2*u**3.
-3*(u + 1)**3*(5*u - 2)/2
Let r(c) be the third derivative of -2*c**7/525 - c**6/300 + 4*c**5/75 + c**4/15 + 6*c**2 - c. Suppose r(h) = 0. Calculate h.
-2, -1/2, 0, 2
Factor 14/13*c**3 - 2/13*c**4 - 16/13 - 36/13*c**2 + 40/13*c.
-2*(c - 2)**3*(c - 1)/13
Let q(o) be the first derivative of 3*o**4/22 - 4*o**3/33 - 29. Factor q(s).
2*s**2*(3*s - 2)/11
Let q(j) = 15*j**2 - 65*j + 45. Let d(o) = o**3 - o**2 + 1. Let l(n) = 5*d(n) + q(n). Let l(w) = 0. Calculate w.
-5, 1, 2
Let n = 439 + -3943/9. Find q such that 4/9 + n*q**2 + 10/9*q + 2/9*q**3 = 0.
-2, -1
Let a(f) be the second derivative of -f**8/6720 + f**6/720 + f**4/6 - 3*f. Let p(x) be the third derivative of a(x). Factor p(h).
-h*(h - 1)*(h + 1)
Let o(t) be the second derivative of 0 + t - 7/60*t**6 - 5/12*t**3 + 3/8*t**4 + 1/8*t**5 - 1/2*t**2. Find u such that o(u) = 0.
-1, -2/7, 1
Suppose -135*p + 129*p = 0. Factor p - 2/9*w**4 + 0*w**2 - 4/9*w**3 + 0*w.
-2*w**3*(w + 2)/9
Let q(t) = 7*t**2 - 15*t + 11. Let w(z) = -36*z**2 + 76*z - 56. Suppose 4*a + 0 = -12. Let g(m) = a*w(m) - 16*q(m). Factor g(o).
-4*(o - 2)*(o - 1)
Let g = 60 + -31. Let h = g - 29. Determine t so that 4/3*t**2 + 2/3*t**3 + h + 2/3*t = 0.
-1, 0
Let y(d) be the first derivative of -1/3*d**2 + 1 + 0*d + 2/9*d**3. Suppose y(f) = 0. Calculate f.
0, 1
Let l = 8/25 + -11/50. Let i(v) be the first derivative of l*v**2 - 4 + 1/15*v**3 - 2/5*v. Factor i(g).
(g - 1)*(g + 2)/5
Let l(q) be the third derivative of -q**6/360 - q**5/120 + q**4/12 - 2*q**3/3 + 7*q**2. Let v(o) be the first derivative of l(o). Let v(p) = 0. What is p?
-2, 1
Let p(r) be the second derivative of -5*r**4/36 + 5*r**2/6 + 5*r - 2. Factor p(q).
-5*(q - 1)*(q + 1)/3
Let c be ((-10)/15)/(2/(-6)). Let m be (0 + -2 + c)*1. What is s in 0 + 0*s**2 + m*s**4 + 2/7*s**5 + 0*s - 2/7*s**3 = 0?
-1, 0, 1
Factor 0 + 2/5*d**3 - 7/5*d**2 + 3/5*d**4 + 2/5*d.
d*(d - 1)*(d + 2)*(3*d - 1)/5
Factor -1/2*n**5 + n**3 - 1/2 - 1/2*n**4 - 1/2*n + n**2.
-(n - 1)**2*(n + 1)**3/2
Let 0*o**2 - 4*o + 4*o**2 + 6*o = 0. Calculate o.
-1/2, 0
Let s(o) be the third derivative of o**6/320 - o**5/40 + 5*o**4/64 - o**3/8 + 4*o**2. Factor s(f).
3*(f - 2)*(f - 1)**2/8
Factor -p - 2*p**3 - 17*p**2 + 15*p**2 + p**3.
-p*(p + 1)**2
Let g(o) be the third derivative of -o**8/84 + 2*o**7/105 + o**6/5 - 4*o**5/15 - 4*o**4/3 - 10*o**2. Suppose g(q) = 0. Calculate q.
-2, -1, 0, 2
Suppose 0 = d + d - 2*y, 4*d - 4 = 3*y. Let g = -1 + d. Let -5 + 2*m - 2*m**g + 5 = 0. Calculate m.
-1, 0, 1
Let u(r) be the first derivative of r**5/5 - 5*r**3/3 + 4*r - 10. Let u(s) = 0. What is s?
-2, -1, 1, 2
Let c(a) be the first derivative of a**2/2 + a - 1. Let j(k) = 10*k**2 - 2*k - 6. Let d(q) = -6*c(q) - j(q). Factor d(i).
-2*i*(5*i + 2)
Let d(v) be the third derivative of 2*v**7/35 + v**6/30 - 19*v**2. Factor d(q).
4*q**3*(3*q + 1)
Let r(b) be the third derivative of -b**7/10080 - b**6/2880 + b**5/240 - b**4/12 - 2*b**2. Let d(c) be the second derivative of r(c). Factor d(o).
-(o - 1)*(o + 2)/4
Suppose -2*k + 4 = -2. Let x(t) be the first derivative of -1/2*t**4 + t**2 - 1 + 0*t**k - t + 1/5*t**5. Factor x(q).
(q - 1)**3*(q + 1)
Let y(m) be the second derivative of -30*m**3 - 49/10*m**6 + 0 - 63/20*m**5 + 4*m + 61/2*m**4 + 12*m**2. Determine s so that y(s) = 0.
-2, 2/7, 1
Let u(x) be the first derivative of 0*x**3 + 1/4*x**4 - 1/5*x**5 + 0*x - 5 + 0*x**2. Suppose u(a) = 0. Calculate a.
0, 1
Let o(v) be the third derivative of 0*v - 1/66*v**4 + 0 + v**2 + 0*v**3 + 1/330*v**5. Factor o(x).
2*x*(x - 2)/11
Let g(y) be the first derivative of y**5/20 + 3*y**4/16 + y**3/4 + y**2/8 + 1. Factor g(h).
h*(h + 1)**3/4
Let p(n) be the first derivative of n**6/3 - 4*n**5/5 + n**4/2 + 2. Solve p(d) = 0 for d.
0, 1
Let n(m) be the third derivative of -m**6/84 + m**5/105 + 52*m**2. Factor n(t).
-2*t**2*(5*t - 2)/7
Let o(t) be the third derivative of t**7/210 - t**6/300 - t**5/20 + 2*t**4/15 - 2*t**3/15 - t**2. Factor o(j).
(j - 1)**2*(j + 2)*(5*j - 2)/5
Let v(x) = x**3 - 9*x**2 - 10*x + 10. Let z be v(10). Let i be 2*((-6)/z)/(-3). Determine r so that i*r**2 + 0 + 2/5*r = 0.
-1, 0
Factor 52/5*g - 48/5*g**2 - 4/5*g**3 + 0.
-4*g*(g - 1)*(g + 13)/5
Let n(j) be the second derivative of -1/30*j**5 + 0*j**3 + 1/24*j**4 - 2*j + 1/120*j**6 + 0 - j**2. Let b(v) be the first derivative of n(v). Factor b(h).
h*(h - 1)**2
Determine y, given that -34/3 - 32/3*y + 2/3*y**2 = 0.
-1, 17
Let u(o) = 2*o**2 - 2*o - 1. Let f be (1 + 0)*2/(-2). Let i be u(f). Factor -2*k + 2*k**4 - 2*k**i + 2*k**2 + 4*k**3 - 4*k**4.
-2*k*(k - 1)**2*(k + 1)
Let o(v) = -7*v**4 + 3*v**3 + 7*v**2 - 5*v. Suppose 5*s + 70 = 25. Let u(z) = 29*z**4 - 12*z**3 - 28*z**2 + 21*z - 1. Let g(w) = s*o(w) - 2*u(w). Factor g(l).
(l - 1)**2*(l + 1)*(5*l + 2)
Let t(a) be the third derivative of -a**10/30240 - a**9/15120 + a**8/6720 + a**7/2520 + a**4/8 - a**2. Let o(l) be the second derivative of t(l). Factor o(r).
-r**2*(r - 1)*(r + 1)**2
Let r(f) be the second derivative of -1/70*f**5 - 1/7*f**2 + 1/42*f**4 + 0 + 1/21*f**3 + 3*f. Solve r(s) = 0 for s.
-1, 1
Let j = 22 + -31. Let m be j/(-20) + 9/(-45). Factor 1/4 - 1/2*x**2 - m*x + 1/2*x**3 - 1/4*x**5 + 1/4*x**4.
-(x - 1)**3*(x + 1)**2/4
Let j(h) be the first derivative of -2/21*h**6 - 1/14*h**4 + 3 + 0*h**2 + 6/35*h**5 + 0*h + 0*h**3. Find c, given that j(c) = 0.
0, 1/2, 1
Factor -3 + 1/2*p + 3/2*p**3 + 5*p**2.
(p + 1)*(p + 3)*(3*p - 2)/2
Let p(c) = -c. Let h(z) = 3*z - 1. Let y(w) = -h(w) - p(w). Let g be y(-5). Factor -g*s - 2*s**3 + 2*s**2 + 11*s.
-2*s**2*(s - 1)
Factor 3/2 + 7*s - 2*s**3 + 7/2*s**2.
-(s - 3)*(s + 1)*(4*s + 1)/2
Let x(i) be the second derivative of i**5/30 - i**4/6 + i**3/3 - i**2/3 - 6*i. Solve x(l) = 0 for l.
1
Let m(p) be the first derivative of 3*p**5/10 + 15*p**4/8 + 9*p**3/2 + 21*p**2/4 + 3*p - 15. Solve m(v) = 0.
-2, -1
Determine r so that 109*r - r**2 - 119*r + 26*r**2 - 10*r**3 = 0.
0, 1/2, 2
Factor -5/11*o**2 - 1/11*o + 1/11 - 3/11*o**3.
-(o + 1)