hat is o?
-1, 0
Factor 28/5*d - 18/5*d**2 + 8/5 + 4/5*d**4 - 7/5*d**3.
(d - 2)**2*(d + 2)*(4*d + 1)/5
Let p = 2 + 2. Let a(s) be the first derivative of s**p - 2/5*s**5 - s**2 + 1 - 1/3*s**6 - 2*s + 4/3*s**3. Determine x, given that a(x) = 0.
-1, 1
Suppose 0*a = -11*a + 33. Let y(s) be the second derivative of 0*s**2 - 1/15*s**6 - 1/2*s**4 - 2*s + 0 + 3/10*s**5 + 1/3*s**a. Factor y(q).
-2*q*(q - 1)**3
Let k = -41 - -43. Find g such that 0*g**k + 2/9 - 4/9*g**3 + 4/9*g - 2/9*g**4 = 0.
-1, 1
Let g = -12 + 14. What is x in 25*x**4 + 6*x**2 + 2*x - 27*x**3 - g*x - 4*x**4 = 0?
0, 2/7, 1
Let o = -559/7 + 80. Let k(l) be the second derivative of -1/35*l**5 + 0 + 1/35*l**6 + o*l**3 + l - 1/21*l**4 - 1/7*l**2 - 1/147*l**7. Factor k(p).
-2*(p - 1)**4*(p + 1)/7
Let x(f) = -3*f**2 + 4 + 3*f**2 - 5*f + f**2. Let o(z) = -z**2 + 3*z - 2. Suppose 0 = -5*k - 0*k - 15. Let b(g) = k*x(g) - 5*o(g). Suppose b(a) = 0. What is a?
-1, 1
Let h be 4/(-20) + (-61)/(-5). Let a = h + -7. Let 0 - 1/4*z - 2*z**a + 3/4*z**3 + 5/2*z**4 - z**2 = 0. What is z?
-1/2, -1/4, 0, 1
Let r(y) be the second derivative of -y**4/3 - 16*y**3/3 - 32*y**2 + 6*y. Let r(h) = 0. Calculate h.
-4
Let m(l) = -l**2 + 22*l - 94. Let j be m(6). Find n such that -1/2*n**2 - 2 + j*n = 0.
2
Let m = -9 - -12. Let y(i) be the third derivative of 4/3*i**m + 0*i + 49/10*i**5 - 343/120*i**6 + 0 - 2*i**2 - 7/2*i**4. Solve y(x) = 0.
2/7
Solve 0 - 1/2*k + 1/2*k**2 = 0 for k.
0, 1
Factor -18*f**3 - 9*f**4 + 4*f**4 + 2*f**4 - 36*f**2 + 9*f**2.
-3*f**2*(f + 3)**2
Let j be (13/(-1))/(3 + -4). What is i in -30*i**2 - 15*i - j*i + 25*i**3 - 8*i - 8 = 0?
-2/5, 2
Let j(r) be the third derivative of -r**9/6048 - r**8/1680 + r**6/360 + r**5/240 - r**3 - 7*r**2. Let h(y) be the first derivative of j(y). Factor h(b).
-b*(b - 1)*(b + 1)**3/2
Let k = 15842/13 - 1218. Let h = k - 46/117. Determine l, given that -10/9*l**4 - 8/9*l**3 + 0*l - 4/9*l**5 + 0 - h*l**2 = 0.
-1, -1/2, 0
Find y, given that 1/4*y**2 - 1/4*y - 1/4 + 1/4*y**3 = 0.
-1, 1
Let m(d) be the first derivative of -49*d**6/30 - 21*d**5/25 + 6*d**4/5 - 4*d**3/15 - 7. Factor m(u).
-u**2*(u + 1)*(7*u - 2)**2/5
Let j be 0 + 4 + 20/(-6). Let z(u) be the first derivative of 1 + j*u**3 + 0*u - u**2. Factor z(s).
2*s*(s - 1)
Let o(f) be the third derivative of f**5/75 - 11*f**4/120 - f**3/10 - 10*f**2. Factor o(n).
(n - 3)*(4*n + 1)/5
Factor 10*y**4 + 0*y**5 - 10*y**3 + 129*y - 10 - 40*y**2 - 164*y + 5*y**5.
5*(y - 2)*(y + 1)**4
Let s(l) be the first derivative of l + 2/15*l**3 + 1/5*l**2 + 1/30*l**4 - 1. Let a(g) be the first derivative of s(g). Suppose a(n) = 0. Calculate n.
-1
Let b(x) = x**2 + x. Let h(p) be the second derivative of -p**4/4 + 3*p**3/2 + 6*p**2 - 2*p. Let s(c) = b(c) - h(c). Suppose s(u) = 0. Calculate u.
-1, 3
Factor -5*y**2 + 8*y**2 - 33*y - 3 - 33.
3*(y - 12)*(y + 1)
Let h = 199/21 + -28/3. Factor 0*a**2 - h*a**5 + 0*a**4 + 0 + 2/7*a**3 - 1/7*a.
-a*(a - 1)**2*(a + 1)**2/7
Let p be -6 + 3/1 + -2. Let r(t) = -t - 2. Let w be r(p). Factor -3/2*v**4 + v + 13/4*v**w + 0 + 1/4*v**5 - 3*v**2.
v*(v - 2)**2*(v - 1)**2/4
Let k(i) be the first derivative of -5*i**3 - 6*i**2 - 5*i + 2. Let h(d) = 7*d**2 + 6*d + 3. Suppose 4 = 3*o - 35. Let u(r) = o*h(r) + 6*k(r). Factor u(m).
(m + 3)**2
Let t(f) be the second derivative of f**4/21 + f**3/14 - f**2/14 - 11*f. Factor t(z).
(z + 1)*(4*z - 1)/7
Let n = 7 + -5. Find i such that -4 + 8*i + 6*i**n + 4*i**2 - 5*i**2 = 0.
-2, 2/5
Let f(q) be the second derivative of -5*q**4/12 - 20*q**3/3 + 6*q. Suppose f(g) = 0. What is g?
-8, 0
Let m = -5 + 8. Suppose -r**3 + 61*r**m + 128*r**4 - r - 8*r**2 - 3*r + 64*r**5 = 0. What is r?
-1, -1/4, 0, 1/4
Factor 1/3*h**4 - 32/3*h + 16/3 + 8*h**2 - 8/3*h**3.
(h - 2)**4/3
Suppose 0 = 6*v - 13*v + 21. Factor -14/5*y - 2*y**v - 4/5 - 2/5*y**4 - 18/5*y**2.
-2*(y + 1)**3*(y + 2)/5
Suppose 0 = -4*n - 5*o + 4 + 9, o + 5 = 3*n. Let m be (-4)/(-8)*(-2 + n). Factor 1/2*k**2 + 3/2*k**4 - 2*k**3 + 0 + m*k.
k**2*(k - 1)*(3*k - 1)/2
Let y = 2408/3 + -802. Factor 2/3*t**2 - 2/3*t**4 - y*t**3 + 0 + 2/3*t.
-2*t*(t - 1)*(t + 1)**2/3
Suppose -4*h**3 - 8/7*h**2 + 0*h - 12/7*h**4 + 0 = 0. What is h?
-2, -1/3, 0
Let f(m) be the third derivative of 0 + 3/28*m**8 - 23/70*m**7 + 5*m**2 + 0*m**3 + 0*m**4 + 13/40*m**6 - 1/10*m**5 + 0*m. Let f(n) = 0. Calculate n.
0, 1/4, 2/3, 1
Let o(c) = 2*c**4 - 12*c**3 + 26*c**2 - 24*c + 18. Let d(u) = 1. Let h(f) = -10*d(f) + o(f). Suppose h(z) = 0. Calculate z.
1, 2
Let v = -4633/15 - -309. Let t(i) be the second derivative of 0*i**2 - 2*i + 0 + 0*i**3 + 0*i**4 + 1/10*i**5 + v*i**6 + 1/21*i**7. Factor t(d).
2*d**3*(d + 1)**2
Let n(g) = -2*g**4 - 9*g**3 + g**2 + 8*g - 8. Let k(o) = -2*o**4 - 8*o**3 + 2*o**2 + 8*o - 8. Let w(u) = -5*k(u) + 4*n(u). Factor w(s).
2*(s - 1)**2*(s + 2)**2
Let u be 1/((5/(-2))/(-5)). Suppose 0 = g - u. Factor 0*h - 1/3*h**3 - 1/3*h**5 + 0*h**g + 0 - 2/3*h**4.
-h**3*(h + 1)**2/3
Let w = -1787/3 - -597. Determine j, given that -80/3*j**2 - 34/3*j - 32/3*j**3 - w = 0.
-2, -1/4
Let y(b) = b**3 - 2*b**2 + b. Let f be y(2). Factor -1 + 3*k - 5*k**2 + 8*k**f + k**3 + 2.
(k + 1)**3
Let t(q) = q**2 - 7*q - 6. Let v be t(8). Suppose 6*i**2 + i**v + 0*i - 4*i**2 + 3 + 6*i = 0. Calculate i.
-1
Let w(a) be the third derivative of a**5/60 + a**4/6 - 8*a**2. Factor w(s).
s*(s + 4)
Let s(i) = i**3 + 9*i**2 - i - 2. Let g be s(-9). Find c, given that -2*c**2 - 1 - 1 + g*c**3 + 11*c - 14*c**2 = 0.
2/7, 1
Let v(o) be the third derivative of o**5/150 + o**4/30 + o**3/15 - 10*o**2. Factor v(w).
2*(w + 1)**2/5
Let x(p) be the first derivative of 0*p - 4/9*p**3 - 14/15*p**5 + 0*p**2 - 3/2*p**4 + 3. Factor x(n).
-2*n**2*(n + 1)*(7*n + 2)/3
Suppose 0 = u - 0 - 2. Find p such that p**2 + 5*p**u - 7*p**3 - 4*p + 3*p**3 + 1 + p**4 = 0.
1
Let w(n) be the first derivative of n**7/1680 - n**6/720 - n**5/240 + n**4/48 + n**3/3 - 2. Let r(k) be the third derivative of w(k). Find c such that r(c) = 0.
-1, 1
Let d(s) be the third derivative of s**8/168 + s**7/105 - s**6/30 - 11*s**2. Factor d(c).
2*c**3*(c - 1)*(c + 2)
Let u(c) be the second derivative of -1/42*c**4 + 0 + 5*c - 4/21*c**3 - 4/7*c**2. Solve u(a) = 0.
-2
Let m be (-2)/(0/1 - 1). Let c be 5/60 - m/(-12). Suppose 3/4*o**4 - 3/4*o**3 + 0 + 1/4*o**2 + 0*o - c*o**5 = 0. What is o?
0, 1
Let r(a) = 2*a - 9. Let y be r(7). Suppose -y*x + 10 = -0*x. What is h in 2/3*h**3 + 0 + 2/3*h - 4/3*h**x = 0?
0, 1
Let a(j) be the first derivative of -7*j**6/480 + j**5/15 - 11*j**4/96 + j**3/12 + 4*j**2 - 6. Let f(q) be the second derivative of a(q). Solve f(p) = 0 for p.
2/7, 1
Let l(z) = 5*z**5 - 15*z**4 + 17*z**3 - 9*z**2 + 4*z + 2. Let f(u) = 6*u**5 - 16*u**4 + 16*u**3 - 8*u**2 + 5*u + 3. Let q(d) = -2*f(d) + 3*l(d). Factor q(m).
m*(m - 2)*(m - 1)**2*(3*m - 1)
Let z(y) be the first derivative of -y**5/90 + y**4/6 - y**3 + 3*y**2 - 5*y - 2. Let x(o) be the first derivative of z(o). Let x(c) = 0. What is c?
3
Factor 3/5*s**2 + 42/5*s + 147/5.
3*(s + 7)**2/5
Let a be 10/35 - 335/(-28). Let 7*i - 1 - a*i**2 = 0. What is i?
2/7
Suppose 62 - 11 = -3*c. Let w = c + 19. Factor 2/3*h - 4/3*h**w - 2/3*h**5 + 0 + 4/3*h**4 + 0*h**3.
-2*h*(h - 1)**3*(h + 1)/3
Factor -4*l**3 + 60*l**2 - 83*l + 500 + 14*l - 231*l.
-4*(l - 5)**3
Find a such that -a**4 + 0 + 0*a - 1/2*a**3 + 0*a**2 - 1/2*a**5 = 0.
-1, 0
Let i be 8/(-10)*(-6 - -1). Suppose -k - 2*k = -5*a + 31, -5*a + 15 = 5*k. Let -2/5*v**3 - 2/5*v**a + 0*v**2 + 0*v + 0 - 4/5*v**i = 0. Calculate v.
-1, 0
Let c = 16 + -14. Suppose -30/7*g**3 + 15/7*g + 15/7*g**5 - 6/7*g**4 + 12/7*g**c - 6/7 = 0. What is g?
-1, 2/5, 1
Let b(d) be the second derivative of -d**7/42 + d**6/10 - d**5/20 - d**4/4 + d**3/3 + 21*d. Factor b(v).
-v*(v - 2)*(v - 1)**2*(v + 1)
Let g(n) be the second derivative of 1/3*n**4 + 0 + 10*n + 0*n**2 - 2/3*n**3. Factor g(t).
4*t*(t - 1)
Let r = -126 - -130. Let u(c) be the second derivative of -1/3*c**2 + 1/9*c**r + 0 - 1/9*c**3 - 1/63*c**7 - 1/45*c**6 + 3*c + 1/15*c**5. Factor u(a).
-2*(a - 1)**2*(a + 1)**3/3
Factor 0*h**4 + 0*h**2 - 4/3*h**3 + 0*h + 0 + 4/3*h**5.
4*h**3*(h - 1)*(h + 1)/3
Suppose 3*r + 0 = -c + 4, -r = -5*c - 12. Factor -6*s - 3*s**2 + 4 - 5 - 2 + 0*s**r.
-3*(s + 1)**2
Factor -2/9*s + 2/9*s**2 + 0.
2*s*(s - 1)/9
Let s(g) = 54*g**2 - 30*g + 3. Suppose 5*p + 34 = -4*