 1/5*h**4 + 0*h.
-h**3*(h + 2)/5
Let l(k) be the second derivative of 2*k - 13/10*k**5 + 7/15*k**6 - 1/14*k**7 - 11/6*k**3 + k**2 + 2*k**4 + 0. Find v such that l(v) = 0.
2/3, 1
Factor -1/9*c**5 + 0*c**2 + 0*c + 4/9*c**3 - 1/3*c**4 + 0.
-c**3*(c - 1)*(c + 4)/9
Let f(m) be the third derivative of 0 + 2*m**4 + 0*m - 2*m**2 + 4/3*m**3 + 9/10*m**5. Factor f(d).
2*(3*d + 2)*(9*d + 2)
Factor 0 + 5/2*u**4 + 25/2*u**3 - 45/2*u + 15/2*u**2.
5*u*(u - 1)*(u + 3)**2/2
Suppose -3/5*w**2 - 9/5*w - 1 + 1/5*w**3 = 0. Calculate w.
-1, 5
Let t(j) be the first derivative of 0*j - 1/8*j**4 + 3/10*j**5 - 3 + 1/4*j**2 - 1/2*j**3. Determine c, given that t(c) = 0.
-1, 0, 1/3, 1
Suppose 2*q - 9 = m, -q + 4 = -m - 0*m. Suppose -4 = -q*i + i + 4*s, 0 = i - 2*s. Solve 5/3*t**i + 4/3 + 8/3*t + 1/3*t**3 = 0 for t.
-2, -1
Let a(q) = -4*q**3 + 4*q**2 + 2*q - 2. Let w(l) = l**3 - l**2 - l + 1. Let o(n) = -2*a(n) - 4*w(n). Factor o(h).
4*h**2*(h - 1)
Let c(n) = -3*n + 44. Let t be c(14). What is b in 4/9*b - 2/9 - 2/9*b**t = 0?
1
Let m(i) be the first derivative of -1/16*i**4 + 3/4*i**2 - 3*i + 1 - 1/8*i**3. Let j(f) be the first derivative of m(f). Factor j(t).
-3*(t - 1)*(t + 2)/4
Let n(u) be the first derivative of -2*u**5 + 5*u**4/4 + 5*u**3/3 + 23. Suppose n(o) = 0. What is o?
-1/2, 0, 1
Determine g so that 98/5 + 2/5*g**2 - 28/5*g = 0.
7
Let h be (-30)/(-35) + 16/(-28). Let j(m) be the first derivative of -2/21*m**3 - 3 - h*m**2 - 2/7*m. Find o, given that j(o) = 0.
-1
Let t(o) be the first derivative of 2*o**3 - 9*o**2/2 + 6*o + 2. Let v(q) = 5*q**2 - 8*q + 5. Let l(s) = 6*t(s) - 7*v(s). Solve l(z) = 0 for z.
-1
Let s(l) be the first derivative of l**5/60 + l**4/18 + l**3/18 - 2*l + 7. Let r(c) be the first derivative of s(c). Find u such that r(u) = 0.
-1, 0
Let n(x) = -x**3 + 9*x**2 + 11*x - 7. Let p be n(10). What is c in c + 2*c**4 - c**5 - 11*c**3 - 2*c**2 + 11*c**p = 0?
-1, 0, 1
Suppose d - 33 = -5*r, r + 4 - 25 = -2*d. Suppose -9*m**4 + 8*m - d*m + 3*m**5 + 6*m**3 = 0. Calculate m.
0, 1, 2
Suppose -5*c + 20 = 5. Suppose -25 = n - 41. Factor -o + n + o - 19 + c*o**2.
3*(o - 1)*(o + 1)
Let l(i) = -6*i**2 + 71*i - 11. Let r(m) = -3*m**2 + 36*m - 6. Let d(c) = -6*l(c) + 11*r(c). Find q such that d(q) = 0.
0, 10
Let y = 20 + -16. Factor 8*r**2 + r**2 + 15*r**3 + 0*r**2 - r**y + 4*r**4 - 3*r**5.
-3*r**2*(r - 3)*(r + 1)**2
Factor -2/3*i**3 + 2/3*i**2 + 0*i + 0.
-2*i**2*(i - 1)/3
Let l(v) = 2*v**3 + 17*v**2 - 8*v + 12. Let o be l(-9). Let a(f) be the second derivative of -1/6*f**o + 0 + 0*f**2 + 1/4*f**4 + 4*f. Solve a(b) = 0 for b.
0, 1/3
Let i be ((-539)/(-14))/7 + -4 + 0. Find j such that 6*j - 6 - i*j**2 = 0.
2
Let m(c) = 2 - c - c**2 - 2. Let o(f) = 4*f**2 - 2*f + 2. Let a be (-2)/((-2 - 0)*1). Let x(g) = a*o(g) + 2*m(g). Let x(w) = 0. Calculate w.
1
Factor -6/11*h**3 + 0*h + 0 + 4/11*h**2.
-2*h**2*(3*h - 2)/11
Factor 5/4*v**2 + 3*v + 1.
(v + 2)*(5*v + 2)/4
Let g(a) = 45*a**2 + 45*a. Let y(z) = -5*z**2 - 5*z. Let p(l) = 4*g(l) + 35*y(l). Let p(w) = 0. What is w?
-1, 0
Let r(m) be the second derivative of -m**4/30 + m**2/5 + 11*m. Factor r(p).
-2*(p - 1)*(p + 1)/5
Factor v**2 + 0 + 1/3*v.
v*(3*v + 1)/3
Factor 0*u + 0*u**2 + 0 + 0*u**3 - 1/6*u**4.
-u**4/6
Let k = 2379/5 + -474. Solve 6/5 - 3*h**2 - k*h = 0 for h.
-1, 2/5
Suppose -2*b + 4 = 4*x - 6, -b - 4*x = -7. Suppose b*w + 2 = 5*w. Factor -4*c - c**2 - w + 7*c + 3*c**2 + 2.
(c + 1)*(2*c + 1)
Let c(n) = n**3 - 7*n**2 + 7*n + 4. Let b be c(6). Let t = b + -7. Factor -2/5*v + 2/5*v**t - 2/5 + 2/5*v**2.
2*(v - 1)*(v + 1)**2/5
Let l(b) be the first derivative of -2*b**5/5 - b**4 + 2*b**3/3 + 2*b**2 + 14. Factor l(z).
-2*z*(z - 1)*(z + 1)*(z + 2)
Let i(a) be the second derivative of a**6/360 + a**5/60 - 2*a**3/3 - a. Let c(l) be the second derivative of i(l). Suppose c(w) = 0. Calculate w.
-2, 0
Let n(g) be the first derivative of -2/3*g**3 + 4 + 2*g - 1/2*g**2 + 1/4*g**4. Factor n(h).
(h - 2)*(h - 1)*(h + 1)
Let q(r) = 2*r**5 - 4*r**4 + 5*r**3 - r**2 + r. Let y(u) = u**5 + u**2 + u. Let b(d) = -q(d) + y(d). Find w such that b(w) = 0.
0, 1, 2
Solve 343/2*c**5 - 277*c**2 + 539*c**4 - 12 - 63/2*c**3 + 110*c = 0.
-3, -1, 2/7
Let d(b) be the third derivative of b**7/1960 + b**6/280 - b**4/14 + b**3/2 - b**2. Let c(q) be the first derivative of d(q). Find x, given that c(x) = 0.
-2, 1
Suppose 3*f = -0 + 9. Let a(h) be the third derivative of 0*h**3 + 1/48*h**5 + 1/48*h**4 + 0*h + f*h**2 + 0. Determine i, given that a(i) = 0.
-2/5, 0
Let t(c) = -9*c**2 + 2*c - 1. Let y be (18/(-3))/3 - 3. Let k(x) = -9*x**2 + x - 1. Let b(r) = y*t(r) + 4*k(r). Factor b(s).
(3*s - 1)**2
Let j(w) = -w**2 - 5*w - 4. Suppose n = -4*p + 2*n - 7, -5*p - 4*n - 35 = 0. Let i be j(p). Factor d + 3*d + i*d**2 - 5*d.
d*(2*d - 1)
Let f(t) = 2*t**4 - 19*t**3 + 39*t**2 - 35*t + 13. Let j(m) = -6*m**4 + 58*m**3 - 118*m**2 + 106*m - 40. Let p(y) = 10*f(y) + 3*j(y). Solve p(k) = 0.
1, 5
Solve -2/11*m**3 + 0*m**2 + 0 + 0*m = 0.
0
Let k(l) = -l**3 - l**2 - l. Let y(v) = -v**3 - 3*v**2 - 3*v + 1. Let f(z) = -2*k(z) + y(z). Factor f(w).
(w - 1)**2*(w + 1)
Let a(g) = g**4 - g**3 + g + 1. Let q(f) = 5*f**4 + f**3 - f + 1. Let w(n) = 3*a(n) - q(n). Let w(j) = 0. Calculate j.
-1, 1
Find f, given that 0 - 2/17*f**2 + 4/17*f = 0.
0, 2
Factor 40*s**3 + 5*s**2 - 67*s**3 + 5*s**4 + 37*s**3.
5*s**2*(s + 1)**2
Let g = -628 - -4404/7. Let w(z) be the second derivative of -1/7*z**4 - 3*z - 4/7*z**3 - 1/70*z**5 - g*z**2 + 0. Factor w(c).
-2*(c + 2)**3/7
Let d = 1497/23 + -65. Let m = 19/46 + d. Factor 1/2*u**3 - m*u**2 - 1/2*u + 1/2.
(u - 1)**2*(u + 1)/2
Let w(b) be the third derivative of 2*b**2 + 1/120*b**5 + 0*b + 0*b**3 + 1/48*b**4 + 0. Factor w(z).
z*(z + 1)/2
Let y = 16 + -31. Let p be (y/(-9))/((-1)/(-3)). Suppose 2*d - 2*d - 7*d**5 + p*d**5 + 4*d**3 - 2*d = 0. What is d?
-1, 0, 1
Let o(s) = -s**3 + 4*s**2 + 4*s + 7. Let f be o(5). Suppose 2*x - 5 - 1 = 0. Let -q**2 - 2*q**2 - q**x + f*q**2 = 0. Calculate q.
-1, 0
Factor 0 - 1/3*t**3 + 2/3*t**4 - 2/3*t**2 + 1/3*t.
t*(t - 1)*(t + 1)*(2*t - 1)/3
Let x(s) be the first derivative of 98*s**6/33 + 14*s**5/55 - 69*s**4/22 - 64*s**3/33 - 4*s**2/11 + 7. Suppose x(o) = 0. What is o?
-1/2, -2/7, 0, 1
Let s be (32 - 35) + (-6*1)/(-1). Solve -63/2*u**2 - 6 - 24*u - 27/2*u**s = 0.
-1, -2/3
Let x(l) = 8*l**4 - 25*l**3 - 17. Let w(b) = -b**4 + 3*b**3 + 2 + 0*b**4 + 0*b**4. Let t(s) = 51*w(s) + 6*x(s). Factor t(r).
-3*r**3*(r - 1)
Factor 1/5*k**3 - 4/5*k + 1/5*k**4 - 6/5*k**2 + 8/5.
(k - 2)*(k - 1)*(k + 2)**2/5
Let o(g) be the second derivative of g**7/63 - 8*g**6/45 + g**5/2 + 4*g**4/9 - 16*g**3/9 + 18*g. Let o(n) = 0. What is n?
-1, 0, 1, 4
Let f(x) be the second derivative of -3*x**5/4 - 5*x**4/12 + 20*x**3/3 - 10*x**2 + 7*x. Factor f(b).
-5*(b - 1)*(b + 2)*(3*b - 2)
Suppose -2*d = -21 + 9. Let x(v) be the first derivative of 1/2*v**d + 3/5*v**2 + 63/20*v**4 + 51/25*v**5 - 2 + 11/5*v**3 + 0*v. Let x(t) = 0. What is t?
-1, -2/5, 0
Let x(g) = -3*g**2 - 15*g - 8. Let c(p) = -8*p**2 - 45*p - 23. Let o(h) = 2*c(h) - 7*x(h). Solve o(m) = 0 for m.
-2, -1
Suppose -3*f**2 + 18*f**3 - 12*f**4 - 9*f**2 + 3*f + 9*f**5 - 6*f**5 = 0. What is f?
0, 1
Determine r, given that -2/5 - 6/5*r**2 + 2/5*r**3 + 6/5*r = 0.
1
Let z be 0/(-5)*(-1)/(-2). Let d(q) be the first derivative of 0*q + 2/5*q**5 + z*q**2 + 2/3*q**3 - q**4 - 1. Factor d(l).
2*l**2*(l - 1)**2
Let d(r) be the third derivative of -r**7/1050 + r**5/300 - 13*r**2 + r. Factor d(h).
-h**2*(h - 1)*(h + 1)/5
Let t(m) be the first derivative of 0*m**2 + 1/2*m**4 - 6 + 0*m**3 + 0*m. Factor t(g).
2*g**3
Suppose -11 = -5*q - 6. Let p be (0/(-2))/(-2 + q). Factor -3*j**3 + j**3 - 3*j**2 - 2*j + p*j - j**2.
-2*j*(j + 1)**2
Let a be (5/((-20)/(-24)))/2. Factor 0 - 1/3*n**2 + 0*n**a + 1/3*n**4 + 0*n.
n**2*(n - 1)*(n + 1)/3
Suppose 3 = 3*q - 3. Let c(s) be the first derivative of 4*s + 1/2*s**4 + 2 - 3*s**q + 0*s**3. Let c(o) = 0. Calculate o.
-2, 1
Let s(c) = 8*c**2 - 161*c - 48. Let j(d) = 6*d**2 - 160*d - 48. Let y(l) = 3*j(l) - 4*s(l). Factor y(x).
-2*(x - 12)*(7*x + 2)
Let l(w) = 2*w**2 - 3*w - 3. Let b(p) = p**2 - 4*p - 4. Let s(j) = 3*b(j) - 4*l(j). Factor s(x).
-5*x**2
Let o(l) = l**3 + 5*l**2 - 6*l. Let u be o(-6). Suppose 5*n - 7 - 23 = u. Factor 4*t + 1 + n - 3 + t**2.
(t + 2)**2
Let d(n