4 - 3 + 2*f**5 + f**5.
3*(f - 1)*(f + 1)**4
Factor 6*c**5 + 2*c**3 - 10*c**5 + 4*c**3 - 2*c**3.
-4*c**3*(c - 1)*(c + 1)
Let h = -2 + 3. Let g be h*(0 - 0) + 0. Find n such that -n**4 + g*n**4 - n**4 = 0.
0
Let z = 12 - 10. Factor -2*u**4 + 2*u + 2*u**3 - 2*u + 4*u**2 + 0*u**z.
-2*u**2*(u - 2)*(u + 1)
Suppose -31 = -4*k - 3*q, -2*q = -3*q + 5. Let x(l) be the first derivative of -1 + 3/4*l**2 + 9/8*l**k + 3/2*l**3 + 3/10*l**5 + 0*l. Factor x(c).
3*c*(c + 1)**3/2
Let s = -30 - -50. Let a be (1/2)/(30/s). Find l, given that 4*l**5 + 0*l - 11/3*l**4 + 0 - 2/3*l**3 + a*l**2 = 0.
-1/3, 0, 1/4, 1
Suppose -4 = -4*y + 8. Suppose 6 = y*c - 15. Factor -4*u**2 - 7 + 3*u**2 + c.
-u**2
Let s(o) be the third derivative of 2*o**8/1155 + 2*o**7/1155 + o**6/1980 + o**3/3 + o**2. Let z(x) be the first derivative of s(x). Solve z(f) = 0 for f.
-1/4, 0
Factor -k + 4*k - 12*k**2 - 6*k - 9*k**3 - k.
-k*(3*k + 2)**2
Suppose 4*k + 2 = 2*k - 4*c, 0 = -5*k + 4*c + 9. Let s = k - -2. Find p such that 3 + 6*p + 3*p**s - 5*p**3 + 1 = 0.
-1, 2
Let h(a) be the third derivative of -a**6/20 - 7*a**5/30 - 5*a**4/12 - a**3/3 + 3*a**2. Factor h(d).
-2*(d + 1)**2*(3*d + 1)
Let z be ((-9)/(-12))/((-6)/(-4)). Let v = -5 + 7. Factor -z*d**2 - 2 - v*d.
-(d + 2)**2/2
Let s(i) be the second derivative of -i**6/70 + 3*i**5/28 - 2*i**4/7 + 2*i**3/7 - 10*i. Solve s(y) = 0 for y.
0, 1, 2
Factor 11*i**3 - 12*i**3 + 0*i - 2*i + 3*i**3.
2*i*(i - 1)*(i + 1)
Let g be 3 - (-1)/(3/12). Factor 3*p**3 - 3*p + 12*p + 9*p**2 + g - 4.
3*(p + 1)**3
Suppose 5*u + 4*g - 27 = 0, 6*u + 5*g - 4 = 4*u. Factor -u*o**3 - o**2 - 6*o - 7*o**3 + 17*o**3 - 2*o**2.
3*o*(o - 2)*(o + 1)
Let x(m) be the first derivative of -64*m**5/5 + 16*m**4 - 8*m**3 + 2*m**2 - m/4 - 17. Factor x(g).
-(4*g - 1)**4/4
What is u in 44*u**2 + 5*u**2 - 1 + 5 - 28*u = 0?
2/7
Let w(r) be the second derivative of -r**6/195 + r**4/39 - r**2/13 - 9*r. Let w(o) = 0. What is o?
-1, 1
Let r = 7 - 4. Solve -11*m**3 - m - 5*m + 15*m**2 + r*m**4 - m**3 = 0.
0, 1, 2
Let j(z) be the first derivative of 1/12*z**4 + 0*z + 1 + 1/60*z**5 - z**2 + 0*z**3 - 1/120*z**6. Let n(y) be the second derivative of j(y). Solve n(h) = 0.
-1, 0, 2
Suppose 3*i = 0, u + 2 = 5*i + 3. Factor -14*v**3 + 4*v**4 - 1 - u + 5 - 10*v - 1 + 18*v**2.
2*(v - 1)**3*(2*v - 1)
Suppose 0 = -4*q - 4 + 8. Let n(p) be the first derivative of -1/2*p**4 - p**2 + 0*p + q + 4/3*p**3. Factor n(d).
-2*d*(d - 1)**2
Let n(k) = k**3 - 5*k**2 + k - 3. Let l be n(5). Factor -w + l*w + 0*w + w**2.
w*(w + 1)
Let h(y) be the second derivative of y**4/3 + y**3/2 - y**2/2 - 7*y. Suppose h(i) = 0. Calculate i.
-1, 1/4
Let f(z) be the first derivative of z**5/210 + z**4/84 - 3*z**2/2 + 4. Let a(p) be the second derivative of f(p). Determine i, given that a(i) = 0.
-1, 0
Let v(n) be the second derivative of 0 - 1/50*n**5 + 1/30*n**4 + 0*n**3 + 2*n + 0*n**2. Factor v(t).
-2*t**2*(t - 1)/5
Let s(n) be the second derivative of n**5/120 + n**4/24 + n**3/12 + n**2/12 + 12*n. Factor s(x).
(x + 1)**3/6
Suppose 2/9*i**3 - 2/3*i**5 + 0 + 0*i + 4/9*i**2 - 8/9*i**4 = 0. Calculate i.
-1, 0, 2/3
Factor 0 + 7/3*h**4 + 2/3*h - 4*h**3 + h**2.
h*(h - 1)**2*(7*h + 2)/3
Let b(o) = 5*o**2 - 1. Let i be b(-1). Let r(a) be the second derivative of 0*a**3 + 0*a**2 - 3*a - 1/12*a**i + 3/40*a**5 + 0 + 1/12*a**6. Solve r(u) = 0 for u.
-1, 0, 2/5
Let b(t) be the second derivative of t**5/70 - 5*t**4/14 + 25*t**3/7 - 125*t**2/7 + 37*t. Factor b(l).
2*(l - 5)**3/7
Let b(u) = 55*u - 162. Let q be b(3). Determine r so that 0*r**2 + 1/2 - 3/4*r + 1/4*r**q = 0.
-2, 1
Let o = 3 + -1. Let -2*w**o + 0*w**2 + w - w**5 + 5*w**4 - 3*w**4 = 0. Calculate w.
-1, 0, 1
Suppose -35*h + 25*h**2 - 5*h**3 + 10 - 3 + 8 = 0. Calculate h.
1, 3
Suppose w + 4 = 8. Let q be 1*(10/w)/5. Solve -i - 1/2*i**2 - q = 0 for i.
-1
Let w(v) be the third derivative of -v**5/15 - v**4/3 + 2*v**2. Factor w(y).
-4*y*(y + 2)
Let p(n) be the second derivative of n**5/60 - n**4/6 + n**3/2 + 7*n. Factor p(s).
s*(s - 3)**2/3
Let f(o) be the second derivative of 1/6*o**4 + 0 + 1/10*o**5 + 0*o**3 - 3*o + 0*o**2. Suppose f(z) = 0. What is z?
-1, 0
Let a = 9169/5 - 1840. Let t = 98/15 + a. Solve -1/3 + t*g**2 + 0*g = 0.
-1, 1
Let v = -63 - -65. Let r(n) be the first derivative of -3 - 1/3*n**v + n - 5/9*n**3. Factor r(u).
-(u + 1)*(5*u - 3)/3
Let l(g) = g**2. Let m(x) = 38*x**2 + 30*x**3 + 8*x - 715 + 715 - 25*x**4. Let c be (4/2 - 3)/(-1). Let f(a) = c*m(a) - 2*l(a). Factor f(q).
-q*(q - 2)*(5*q + 2)**2
Suppose b = k - 3, 0 = -5*k + b + 2*b + 13. Factor 4*d**2 + d**k + 2*d**2 - 3*d**2 + d.
d*(4*d + 1)
Suppose 0 = -5*d + 2*y + 18, -5*d - 5*y - 3 = 7. Let j = 94/9 + -82/9. Suppose -2/3*v**3 - j*v**d + 4/3 + 2/3*v = 0. Calculate v.
-2, -1, 1
Suppose -k + 2*v + 32 = 7*v, -4*v - 36 = -2*k. Let s(d) = -d**3 + d. Let u(a) = -12*a**3 + a**2 + 12*a - 1. Let y(o) = k*s(o) - 2*u(o). Factor y(l).
2*(l - 1)**2*(l + 1)
Let f(x) be the second derivative of -9*x**5/140 + x**4/28 + 3*x**3/14 - 3*x**2/14 - 2*x. Find c, given that f(c) = 0.
-1, 1/3, 1
Suppose h - 2 = -h + j, 0 = -5*h + 2*j + 5. What is f in -h - 1/2*f**2 + 3/2*f = 0?
1, 2
Factor 5/4*q**4 + 7/4*q**3 - 7/4*q - 3/4*q**2 - 1/2.
(q - 1)*(q + 1)**2*(5*q + 2)/4
Let k = 0 + 2. Suppose 6 = k*q + q - u, -q = u - 6. Factor -20/11*t**2 - 30/11*t**4 + 2/11 + 0*t + 8/11*t**5 + 40/11*t**q.
2*(t - 1)**4*(4*t + 1)/11
Let a(g) be the second derivative of g**4/4 + g**3/2 + 2*g. Factor a(n).
3*n*(n + 1)
Solve 4*x**4 + 4*x**3 - 4*x**2 - 2*x - 3*x - 3*x + 4*x**3 = 0.
-2, -1, 0, 1
Let i be 5*8/(-20) + (-10)/(-2). Let r(k) be the third derivative of 0 + 1/18*k**i + 1/180*k**5 - 2*k**2 - 1/36*k**4 + 0*k. Factor r(p).
(p - 1)**2/3
Determine g so that 3 - 9/2*g + 3/2*g**2 = 0.
1, 2
Let v(w) be the third derivative of -2*w**7/147 + 2*w**6/35 - 3*w**5/35 + w**4/21 + 11*w**2. Suppose v(k) = 0. What is k?
0, 2/5, 1
Let f(j) be the first derivative of -4*j**5/5 + 2*j**4 - 4*j**3/3 + 8. Factor f(d).
-4*d**2*(d - 1)**2
Let o be (-3)/(-6)*4/(-2). Let n(q) = 2*q**2 + 1. Let m be n(o). Factor -2/7 + 2/7*y**4 + 4/7*y + 0*y**2 - 4/7*y**m.
2*(y - 1)**3*(y + 1)/7
Find f such that -7/4*f - 11/2*f**3 - 3/4*f**5 + 9/2*f**2 + 1/4 + 13/4*f**4 = 0.
1/3, 1
Suppose 5*w - 20 = -4*v, 0*v - 4*w = 5*v - 16. Solve v - 4/9*n - 2/9*n**2 = 0 for n.
-2, 0
Let i(h) = h**2 - 9*h + 8. Let t be i(8). Find q such that -1/2*q**2 - q**3 + 0*q + t - 1/2*q**4 = 0.
-1, 0
Let s(a) be the first derivative of -a**5/5 - 3*a**4 - 22*a**3/3 + 42*a**2 - 49*a + 23. Let s(w) = 0. Calculate w.
-7, 1
Let c(o) be the first derivative of 3*o**5/20 + o**4/4 - o**3 - o - 7. Let p(w) be the first derivative of c(w). Factor p(a).
3*a*(a - 1)*(a + 2)
Let r = -100 - -102. Factor 0 + 2/3*j - 4/3*j**r.
-2*j*(2*j - 1)/3
Let 9*t**2 + 2*t + 37*t**3 - t - 10*t**3 + 27*t**4 = 0. What is t?
-1/3, 0
Let p = 94 - 91. Factor -8/3 + 20/3*a - 40/3*a**p + 40/3*a**4 + 0*a**2 - 4*a**5.
-4*(a - 1)**4*(3*a + 2)/3
Suppose -5*h + 4 = -h. Let j(t) be the first derivative of 0*t - 1/2*t**2 - h - 2/3*t**3 - 1/4*t**4. Factor j(o).
-o*(o + 1)**2
Let f be 6/4 - 10/(-4). Suppose -f*o + 2*o = 0. Factor -1/2*m**3 - m**2 - 1/2*m + o.
-m*(m + 1)**2/2
Let i(p) be the first derivative of p**5/45 - p**4/18 + p**3/27 + 14. Factor i(s).
s**2*(s - 1)**2/9
Let g(f) be the first derivative of -f**4/4 - 5*f**3/21 + 8*f**2/7 - 4*f/7 + 9. Determine b, given that g(b) = 0.
-2, 2/7, 1
Let x(o) be the second derivative of -o**7/7 - o**6/2 - 3*o**5/20 + o**4/2 + 4*o. What is l in x(l) = 0?
-2, -1, 0, 1/2
Let 0 - 4/5*y + 2/5*y**2 + 2/5*y**3 = 0. What is y?
-2, 0, 1
Let v(q) = -6*q**3 + 14*q**2 - 18. Let f(s) = 19*s**3 - 43*s**2 + 55. Let u(i) = -2*f(i) - 7*v(i). Let u(z) = 0. What is z?
-1, 2
Let q(x) = -x**4 + 5*x**3 - 8*x**2 - 8*x. Let n(c) = 3*c**4 - 11*c**3 + 16*c**2 + 16*c. Let t(f) = 6*n(f) + 14*q(f). Factor t(a).
4*a*(a - 2)*(a + 1)*(a + 2)
Let u(i) be the first derivative of 1/6*i**6 + 3/5*i**5 + 0*i + 1/4*i**4 - i**2 - 1 - i**3. Factor u(z).
z*(z - 1)*(z + 1)**2*(z + 2)
Let r(p) be the second derivative of 0*p**2 + 2*p - 1/2*p**6 + 0*p**3 + 9/5*p**5 - p**4 + 0. Solve r(f) = 0 for f.
0, 2/5, 2
Let h = -9 + 12. Solve 4*v**h - 4 - 2*v**3 + 4 - 2*v = 0.
-1, 0, 1
Let u(p) = p**3 + 10*p**2 + 5. Let j be u(-10). Let w(f) be the second derivative of f**2 + 5