- 13/7*s**4 + 0*s - 36/7*s**2.
-s**2*(s + 1)*(s + 6)**2/7
Let y(t) be the first derivative of t**5/150 + t**4/60 + 5*t**2 - 8. Let g(r) be the second derivative of y(r). Find d such that g(d) = 0.
-1, 0
Suppose 0 = 9*w - 0*w - 27. What is p in 0*p - w*p**3 - 3/2*p**4 + 0 - 3/2*p**2 = 0?
-1, 0
Let l = 858/7 - 122. Suppose -3*u - a + 10 = -3*a, -2*u + 4*a + 12 = 0. Factor 2/7 + 2/7*t**u + l*t.
2*(t + 1)**2/7
Let z be (0/2)/(-1 - -2). Let k(n) be the third derivative of 0*n - 1/30*n**5 + n**2 + 1/12*n**4 + 0 + z*n**3. Determine r, given that k(r) = 0.
0, 1
Let o be 12 + -5 - (-1 + -1). Suppose u + o = 3*i + 5*u, -i + 3 = 2*u. Solve -9/2*p + 3*p**4 - 1/2*p**5 - 7*p**i + 8*p**2 + 1 = 0.
1, 2
Let 0*l**4 + 0*l**2 + 2/9*l**5 + 0 - 4/9*l**3 + 2/9*l = 0. What is l?
-1, 0, 1
Let y = 1 + -1. Factor -1/2*i + y*i**2 + 0 + 1/2*i**3.
i*(i - 1)*(i + 1)/2
Factor 27/8*x**2 + 15/2 + 3/8*x**3 + 9*x.
3*(x + 2)**2*(x + 5)/8
Suppose -46*h + 41*h = 5, 3*h - 22 = -5*a. Factor -1/2 + 3/4*i**a - i**4 + 1/4*i - i**3 + 3/2*i**2.
(i - 1)**3*(i + 1)*(3*i + 2)/4
Let d(n) be the first derivative of -1/3*n**4 - 1 - 3*n + 0*n**2 - 1/10*n**5 - 1/3*n**3. Let w(r) be the first derivative of d(r). Suppose w(g) = 0. What is g?
-1, 0
Factor 42*c**2 + 7*c**4 + 3*c**5 - c**4 - 10*c - 36*c**3 - 5*c.
3*c*(c - 1)**3*(c + 5)
Let 3*i - 6/7 - 9/7*i**5 - 18/7*i**2 - 12/7*i**3 + 24/7*i**4 = 0. Calculate i.
-1, 2/3, 1
Suppose 0*l**2 - 31*l**4 + 4*l**4 + 0*l - 21*l**2 + 18*l - 90*l**3 = 0. Calculate l.
-3, -2/3, 0, 1/3
Let r = 2 + 3. Factor 3*c + 9*c**2 - 1 - r*c**2 + 0.
(c + 1)*(4*c - 1)
Let x(z) be the first derivative of z**3/12 + z**2/8 - 5. Determine l so that x(l) = 0.
-1, 0
Let x(l) be the second derivative of -l**2 + 0 + 3/20*l**5 - 1/2*l**3 - 3*l + 1/6*l**4. Find j such that x(j) = 0.
-1, -2/3, 1
Let u = 27/10 + -277/110. Suppose -u*n**2 + 2/11 - 2/11*n + 2/11*n**3 = 0. Calculate n.
-1, 1
Suppose 2*o + 1 = -2*y + 3, y = 2*o + 1. Determine p, given that 0*p + o - 2/3*p**2 = 0.
0
Suppose 5*y + 23 = 5*a - 2, -a + 3*y = -9. Suppose -2*h - 6 = 0, -4 = -2*z - 2*h - 0*h. Factor -3*t**5 + 2*t**3 + t - 4*t**a + 4*t**z.
t*(t - 1)**2*(t + 1)**2
Let k(d) be the second derivative of d**7/168 + d**6/60 - d**4/24 - d**3/24 - 9*d. Solve k(r) = 0.
-1, 0, 1
Factor 4 + 1/2*a**3 - 3/2*a**2 - 3*a.
(a - 4)*(a - 1)*(a + 2)/2
Let f(q) be the third derivative of q**5/75 + q**4/10 - 9*q**2. Factor f(w).
4*w*(w + 3)/5
Let i = 9 + -7. Factor -2*o**3 - 8 + i*o + 8.
-2*o*(o - 1)*(o + 1)
Suppose 4*a = -3*k - 10, 2*a + 22 = 5*k - a. Suppose 2*h - 6*h - 12 = -k*g, g = 5*h + 9. Factor -2*m**4 + m**g - 1 + 2*m**2 + 3*m - 3*m.
-(m - 1)**2*(m + 1)**2
Let o(g) be the first derivative of -g**4/7 + 4*g**3/21 + 4*g**2/7 + 13. Factor o(h).
-4*h*(h - 2)*(h + 1)/7
Let m be 4/26 - (-205)/(-65). Let y = m - -5. Factor 1/3*k**y - 2/3*k + 1/3.
(k - 1)**2/3
Let h(n) be the first derivative of 2*n**2 - 1 + 2*n**4 + 2*n - 14/3*n**3. Find t, given that h(t) = 0.
-1/4, 1
Let z(x) be the first derivative of -2*x**3/9 + 2*x/3 - 10. Find d, given that z(d) = 0.
-1, 1
Let a(i) = i**3 - 15*i**2 - 34*i + 2. Let n be a(17). Factor 2/9*c**n + 2/9*c + 0.
2*c*(c + 1)/9
Let p(c) = -c**4 + 2*c**3 + c**2 + 2. Let o(l) = l**4 - 3*l**3 - l**2 - 3. Let j = 7 - 5. Let s(b) = j*o(b) + 3*p(b). Find u, given that s(u) = 0.
-1, 0, 1
Let l(t) be the first derivative of -7*t**6/24 + 3*t**5/5 - 3*t**4/16 - t**3/6 - 2. Factor l(h).
-h**2*(h - 1)**2*(7*h + 2)/4
Factor -g**2 + 2 - 3*g**2 + 3*g - 6 + 5*g.
-4*(g - 1)**2
Let s(z) be the first derivative of -z**4/42 - 2*z**3/21 - z**2/7 + 4*z - 3. Let b(y) be the first derivative of s(y). Factor b(n).
-2*(n + 1)**2/7
Factor 5*n - 237*n**2 + 466*n**2 - 239*n**2 + 10 - 5*n**3.
-5*(n - 1)*(n + 1)*(n + 2)
Let p(k) = 6*k - 3. Let v be p(1). Let x(n) be the third derivative of 1/90*n**5 + 4/9*n**v - 1/9*n**4 + 0 + 0*n + 2*n**2. Let x(z) = 0. Calculate z.
2
Solve -18/7 - 22/7*k**2 - 2/7*k**3 - 38/7*k = 0.
-9, -1
Let b(i) be the first derivative of -2/9*i**3 - 2/3*i**2 + 0*i - 2. What is s in b(s) = 0?
-2, 0
Let j(z) = 2*z - 9. Let s be j(6). Suppose 2*x - 4*n = -s*x - 2, x = 5*n - 13. Factor -3*f**2 + 3*f**x + f - f**2.
-f*(f - 1)
Suppose -2 = -2*l + l. Factor 6*a**2 - 10*a**3 + 2 - 7*a**2 - 5*a**4 - 3 - 5*a - a**5 - 9*a**l.
-(a + 1)**5
Let a(b) be the second derivative of b**7/735 - b**6/105 + b**5/35 - b**4/21 + b**3/21 + b**2 - 2*b. Let q(t) be the first derivative of a(t). Factor q(y).
2*(y - 1)**4/7
Let k(z) = 3*z**4 + 3*z**3 - 3*z**2 + z - 4. Let p(o) = 4*o**4 + 3*o**3 - 4*o**2 + 2*o - 5. Let n(c) = 5*k(c) - 4*p(c). Factor n(v).
-v*(v - 3)*(v - 1)*(v + 1)
Suppose 7*m - 2*m - 40 = 0. Let g be m/(-6)*6/(-4). Determine x, given that x**2 + 3 - 5 + x**g = 0.
-1, 1
Let k(h) be the first derivative of -3*h**5/20 + h**4/4 + h**3/2 - 3*h**2/2 - 3*h + 4. Let r(c) be the first derivative of k(c). Determine u so that r(u) = 0.
-1, 1
What is w in -4 - 2*w - 2*w**2 + 15*w**4 - 10*w**2 + 6*w**3 + 6*w**5 - 10*w + 1 = 0?
-1, -1/2, 1
Let j(x) be the second derivative of x**6/105 - x**5/35 - 5*x. Factor j(r).
2*r**3*(r - 2)/7
Let a(j) = j**5 + j**3. Let w(d) = d**5 + 3*d**4 - 4*d**3. Let b(l) = -3*a(l) - w(l). Solve b(f) = 0 for f.
-1, 0, 1/4
Factor 3*f - f - 26*f**2 + 31*f**2 + f**3 + 2*f.
f*(f + 1)*(f + 4)
Let z(q) be the first derivative of q**6/7 + 3*q**5/7 - 3*q**4/28 - q**3 - 3*q**2/14 + 6*q/7 + 23. Let z(n) = 0. Calculate n.
-2, -1, 1/2, 1
Find x, given that x**3 - 1/2*x**4 + 0 + 1/2*x**2 - x = 0.
-1, 0, 1, 2
Factor 2*r**2 - 1 - 2*r - 5*r**2 + 2*r**2.
-(r + 1)**2
Let o(c) be the third derivative of 0*c + 0*c**3 + 0*c**4 + 0 + 0*c**5 + 1/900*c**6 + 6*c**2. Factor o(l).
2*l**3/15
Let c(m) = -57*m**2 + 48*m - 57. Let w(d) = -7*d**2 + 6*d - 7. Let q(v) = 4*c(v) - 33*w(v). Factor q(k).
3*(k - 1)**2
Let d(j) = j - 4. Let z be d(6). Let s = 46/21 - 6/7. Find q such that -14/3*q**3 - 2*q**4 + 2*q + s - 2*q**z = 0.
-1, 2/3
Let v(z) = -7*z**4 - 13*z**3 - 2*z**2 + 2*z. Let y(l) = -l**4 + l**3 - l**2 + l. Let a(o) = -v(o) + 2*y(o). Factor a(q).
5*q**3*(q + 3)
Let d(y) be the second derivative of 0*y**3 - 4/5*y**2 + 1/10*y**4 + 0 - 1/50*y**5 + 4*y. Suppose d(c) = 0. Calculate c.
-1, 2
Factor -1/3*k**5 - 2/3*k**2 + 2/3*k**3 - 1/3*k + 1/3 + 1/3*k**4.
-(k - 1)**3*(k + 1)**2/3
Let u = 25 - 11. Let l be (-3)/u + (-4)/(-8). Let 2/7 + 2/7*o - 2/7*o**3 - l*o**2 = 0. Calculate o.
-1, 1
Let h(s) be the second derivative of 0*s**4 + 0 + 2*s + 0*s**3 - 1/126*s**7 + 0*s**2 + 0*s**6 + 1/60*s**5. Factor h(z).
-z**3*(z - 1)*(z + 1)/3
Let p(b) = -46*b**3 - 74*b**2 - 12*b + 8. Let l(h) = 15*h**3 + 25*h**2 + 4*h - 3. Let q(t) = 8*l(t) + 3*p(t). Determine z so that q(z) = 0.
-1, -2/9, 0
Let v be -2 + (-16)/12*(-30)/16. Let -1/2*q**2 - v - q = 0. Calculate q.
-1
Let c be 6/30*1/(3/6). Let i(b) = b**2 + b - 3. Let f be i(-3). Find s, given that -c*s + 2/5*s**4 - 2/5*s**5 + 2/5 + 4/5*s**f - 4/5*s**2 = 0.
-1, 1
Determine u so that 0 - 3*u**4 - 7/4*u**5 - 3/4*u**3 + 1/2*u**2 + 0*u = 0.
-1, 0, 2/7
Suppose 5*i = -9*i. Factor 4/9*f**2 + 2/9*f**3 + i*f + 0 - 2/3*f**4.
-2*f**2*(f - 1)*(3*f + 2)/9
Let q(y) be the third derivative of 0*y**3 + 0*y**4 - 1/15*y**5 - 2*y**2 + 0*y + 0. What is p in q(p) = 0?
0
Let j(l) = -l + 10. Let m be j(8). Determine w, given that -2*w**2 + 2*w**m + 3*w - w + 4 - 2*w**2 = 0.
-1, 2
Suppose -1/3*z + 2 - 1/3*z**2 = 0. Calculate z.
-3, 2
Suppose -p + 0*p = 0. Let g(m) be the first derivative of 0*m + 1 - 1/2*m**2 + 1/4*m**4 + p*m**3. Factor g(a).
a*(a - 1)*(a + 1)
Let t(r) be the first derivative of 3*r**5/5 - 3*r**4/2 - r**3 + 3*r**2 - 46. Factor t(v).
3*v*(v - 2)*(v - 1)*(v + 1)
Suppose 1 - 5 = -3*i + 2*z, 2*i - 2 = 2*z. Let p(n) be the third derivative of 1/60*n**4 - 2/15*n**3 - i*n**2 + 0*n + 1/150*n**5 + 0. Factor p(l).
2*(l - 1)*(l + 2)/5
Suppose -9*n - 20*n = -58. Factor 0 + 0*m - 3/2*m**n.
-3*m**2/2
Let w(t) be the first derivative of t**4/6 - 2*t**3/3 + t**2 + 2*t + 2. Let h(r) be the first derivative of w(r). Solve h(n) = 0.
1
Let n(c) be the first derivative of c**3/27 - c**2/6 + 2*c/9 + 16. Factor n(t).
(t - 2)*(t - 1)/9
Let m(g) = 7*g**3 + 21*g**2 + 18*g + 2. Let q(f) = -20*f**3 - 63*f**2 - 55*f - 5. Let j(v) = -14*m(v) - 4*q(v). Factor j(r).
-2*(r + 1)*(3*r + 2)**2
Let j = -340 + 1706/5. Suppose 2/5*h**4 + 0 + 2/5*h + 6/5*h**2 +