 4*f(x) - y(x). Factor v(g).
(g + 13)**2
Let q be (-1)/(-3) - (-328)/(-16). Let t = 41/2 + q. Factor t - 1/3*v**2 - 1/3*v + 1/3*v**3.
(v - 1)**2*(v + 1)/3
Let s(q) be the second derivative of 9*q**5/110 - 5*q**4/33 - 17*q**3/33 + 2*q**2/11 + 32*q. Solve s(d) = 0.
-1, 1/9, 2
Let b(n) be the second derivative of -n**4/96 + n**3/12 - 3*n**2/16 - 4*n. Factor b(q).
-(q - 3)*(q - 1)/8
Let x(h) be the second derivative of h**8/3360 + 7*h**3/6 + h. Let w(n) be the second derivative of x(n). Find c such that w(c) = 0.
0
Let a = 4 - 2. Factor -3*o**4 - 1 - 6*o**2 - 2*o - 4*o**3 + 2*o**4 - a*o.
-(o + 1)**4
Let l(p) be the second derivative of p**4/20 - p**3/5 - 9*p**2/10 - 6*p. Factor l(r).
3*(r - 3)*(r + 1)/5
Factor -5*v**3 - 25*v**2 + v**3 + 9*v**2 - 12*v + 0*v**3.
-4*v*(v + 1)*(v + 3)
Let m(v) be the first derivative of 1/12*v**4 + 0*v + 0*v**3 - 2 - 1/30*v**5 + 1/2*v**2. Let a(t) be the second derivative of m(t). Let a(r) = 0. What is r?
0, 1
Let g(i) be the second derivative of -i**6/20 - 3*i**5/16 - i**4/16 + i**3/4 - 3*i. Determine h, given that g(h) = 0.
-2, -1, 0, 1/2
Let n(y) be the first derivative of -1/27*y**6 - 2/45*y**5 - 1/9*y**2 - 3 + 1/9*y**4 - 2/9*y + 4/27*y**3. Factor n(w).
-2*(w - 1)**2*(w + 1)**3/9
What is t in 2*t**5 - 8/5*t**3 - 4*t**2 + 4/5 + 16/5*t**4 - 2/5*t = 0?
-1, 2/5, 1
Let y be -7*1 - (-600)/72. Factor 0 - 2*m**2 + 2/3*m**3 + y*m.
2*m*(m - 2)*(m - 1)/3
Let j(r) = 5*r**2 + 45*r + 30. Let t(y) = y - 1. Let g(a) = -j(a) + 5*t(a). Solve g(h) = 0.
-7, -1
Let b be 4/(-14) - (-650511)/(-315). Let t = -2055 - b. Factor 18/5 - t*z**2 + 8*z**3 + 10*z**4 - 24/5*z.
2*(z + 1)**2*(5*z - 3)**2/5
Let p(y) be the second derivative of -3/10*y**2 - 1/12*y**4 - 7/30*y**3 - 1/100*y**5 - 5*y + 0. Determine c so that p(c) = 0.
-3, -1
Let z = -109 - -219/2. Factor -z*j**2 - j - 1/2.
-(j + 1)**2/2
Let h = 3195899/4 + -525725013/658. Let x = h - -1/188. Solve 0*o - 18/7*o**3 + 4*o**5 + 0 + 6/7*o**4 + x*o**2 = 0.
-1, 0, 2/7, 1/2
Let h(f) be the second derivative of f**8/2520 - f**7/756 + f**6/810 - f**3/2 + 2*f. Let z(u) be the second derivative of h(u). Factor z(k).
2*k**2*(k - 1)*(3*k - 2)/9
Let d(f) = f**2 - f. Let w(o) = 10*o**2 - 10*o. Let g(i) = -22*d(i) + 2*w(i). Factor g(m).
-2*m*(m - 1)
Let d(o) be the third derivative of -o**7/1470 + 3*o**5/140 + o**4/42 - 2*o**3/7 - 29*o**2. Factor d(u).
-(u - 3)*(u - 1)*(u + 2)**2/7
Factor 9*o + 2 - 11*o - 2*o**2 + 3*o**3 - o**3.
2*(o - 1)**2*(o + 1)
Let z(l) = -l**2 - 1. Let p(g) = -2*g**5 - 4*g**4 - 2*g**3 + 2*g**2 + 2. Let a(h) = 2*p(h) + 4*z(h). Solve a(d) = 0 for d.
-1, 0
Let c be (-4 - 108/(-16)) + 1/4. Let m(o) be the first derivative of 4/5*o + 7/5*o**2 + 4/15*o**c - 3/10*o**4 - 2. Determine y so that m(y) = 0.
-1, -1/3, 2
Let k(i) = 5*i**3 + 7*i**2 + i - 1. Let o(a) = -a**3 - a**2. Let n(l) = -k(l) - 6*o(l). Let n(t) = 0. Calculate t.
-1, 1
Let w = 29/3 - 9. Factor -w*z**2 + 4/3 + 2/3*z.
-2*(z - 2)*(z + 1)/3
Let v(h) be the third derivative of -h**7/35 - 7*h**6/120 + h**5/60 + h**4/12 + 6*h**2. Factor v(u).
-u*(u + 1)*(2*u - 1)*(3*u + 2)
Factor 3/5*l**2 - 9/5*l + 6/5.
3*(l - 2)*(l - 1)/5
Let m(y) be the second derivative of y**4/6 + 2*y**3/3 - 3*y**2 + 5*y. Solve m(u) = 0 for u.
-3, 1
Let p(x) be the second derivative of x**5/14 - x**4/6 + 2*x**3/21 - 7*x. Factor p(n).
2*n*(n - 1)*(5*n - 2)/7
Suppose 0*q + 45 = 5*q. Suppose 20*u**3 - 25*u**2 - 10*u**4 - 2 + 5*u**2 + 11*u**5 - q*u**5 + 10*u = 0. Calculate u.
1
Let h(k) = 21*k + 10*k**2 - 5*k**2 - 8 - 5*k**2 + 10*k**2. Let b(o) = -5*o**2 - 10*o + 4. Let c(y) = -5*b(y) - 2*h(y). What is d in c(d) = 0?
-2, 2/5
Determine z, given that 4/7*z + 2/7*z**2 + 0 = 0.
-2, 0
Let h(s) be the third derivative of s**7/945 + s**6/270 - s**5/90 - s**4/27 + 4*s**3/27 - 11*s**2. Find v, given that h(v) = 0.
-2, 1
Suppose -55*a**2 + 13*a**3 - 80*a + 11*a**3 + 20 + 16*a**3 + 5*a**3 = 0. Calculate a.
-1, 2/9, 2
Let v(t) = -303*t + 896*t**3 + 351*t**2 - 18*t**3 + 17 - 110*t**3 - 2. Let m(q) = -48*q**3 - 22*q**2 + 19*q - 1. Let b(i) = 33*m(i) + 2*v(i). Factor b(f).
-3*(f + 1)*(4*f - 1)**2
Let j(k) be the first derivative of 1/30*k**4 + 2/15*k**3 - k - 2 + 1/5*k**2. Let w(f) be the first derivative of j(f). Determine l so that w(l) = 0.
-1
Factor 3*j**2 + j**3 + 20*j - 18*j + 0*j**2.
j*(j + 1)*(j + 2)
Let x(c) = c + 17. Let r be x(-15). Let d(l) be the first derivative of 7/6*l**3 + l + 3 - 9/4*l**r. Factor d(p).
(p - 1)*(7*p - 2)/2
Let z = -18 + 19. Let l(n) be the first derivative of 1/6*n**3 + 0*n + 0*n**2 + 1/8*n**4 - z. Let l(y) = 0. Calculate y.
-1, 0
Let t be (4/(-42))/((-228)/665). Let y(j) be the second derivative of 0 + 3/20*j**5 - t*j**3 + 1/12*j**4 + j + 1/6*j**2. Let y(q) = 0. Calculate q.
-1, 1/3
Let g = -9 + 11. Find j such that 5 - 4*j**2 - 1 - 7*j + 6*j**g + j = 0.
1, 2
Let r(q) = -q**3 + 3*q - 2. Let n be r(2). Let o be (-6)/(-4)*n/(-3). Solve -o*w + 5 - 5 + 2*w**2 = 0 for w.
0, 1
Suppose -3*m - 4*j = 2*m - 30, 4*j = -3*m + 26. Factor 2*q**4 + 22*q**m + 2*q**4 - 24 - 4*q**2 - 12*q - q**4 + 15*q**3.
3*(q - 1)*(q + 2)**3
Suppose 0 = 5*r - 49 + 209. Let b be 1 - 2/(r/(-12)). Factor -3/4*l**2 + 1/4*l + 0 - b*l**4 + 3/4*l**3.
-l*(l - 1)**3/4
Let q**4 + 28*q**3 - 7/2*q**5 - 56*q - 8*q**2 + 16 = 0. Calculate q.
-2, 2/7, 2
Let n = 327 + -327. Factor 0*i**2 + 3/5*i**3 - 3/5*i**4 + 0 + n*i.
-3*i**3*(i - 1)/5
Let k be 2 + 0 + (-4)/3. Let u(c) = -8*c + 42. Let o be u(5). Determine z, given that 2*z**2 + o*z + k + 2/3*z**3 = 0.
-1
Let g(v) be the third derivative of v**6/360 - v**5/45 - v**4/72 + 2*v**3/9 - 3*v**2 + v. Factor g(t).
(t - 4)*(t - 1)*(t + 1)/3
Let l(i) = -i + 3. Let h be l(0). What is v in -32*v**3 - 21*v + h - 23*v**4 + 45*v**2 - 7*v**3 + 35*v**4 = 0?
1/4, 1
Let m(b) be the first derivative of -b**6/120 + 3*b - 1. Let r(x) be the first derivative of m(x). Factor r(g).
-g**4/4
Let 2*f**2 + 19*f - 23*f + 2*f**3 + 0*f**3 = 0. What is f?
-2, 0, 1
Let g(j) be the first derivative of -49*j**3/12 + 21*j**2/4 - 9*j/4 + 15. Factor g(r).
-(7*r - 3)**2/4
Let v(h) be the third derivative of -h**7/70 - 3*h**6/40 - h**5/10 - 3*h**2. Suppose v(a) = 0. Calculate a.
-2, -1, 0
Let q(h) be the third derivative of h**5/140 + 5*h**4/28 + 9*h**3/14 + 34*h**2. Determine r, given that q(r) = 0.
-9, -1
Let g(v) be the second derivative of v**5/4 + 11*v. Factor g(n).
5*n**3
Let i(y) be the second derivative of 0 + 6*y + 1/20*y**4 + 1/10*y**3 - 3/5*y**2. Find b, given that i(b) = 0.
-2, 1
Let y(u) be the second derivative of u**5/50 - u**4/30 - u**3/15 + u**2/5 - 3*u. Factor y(s).
2*(s - 1)**2*(s + 1)/5
Let n = 151 - 451/3. Factor 0 + 0*s - n*s**2.
-2*s**2/3
Let p be (-11)/(-20) - 2/8. Let a(u) be the second derivative of 2/5*u**2 + 1/75*u**6 + 0 + 7/15*u**3 - u + p*u**4 + 1/10*u**5. Solve a(x) = 0.
-2, -1
Let x = -1/552 - -3319/3864. Factor -x*f**3 - 2/7*f**2 - 4/7*f**4 + 0 + 0*f.
-2*f**2*(f + 1)*(2*f + 1)/7
Suppose 4*d - 9 = 31. Factor -2*p + 4*p**5 - 2*p**4 - 8*p**2 - 2*p + d*p**4.
4*p*(p - 1)*(p + 1)**3
Let w(z) = 23*z**3 + 12*z**2 + 17*z - 17. Let x(y) = 4*y**3 + 2*y**2 + 3*y - 3. Let q(i) = -6*w(i) + 34*x(i). Solve q(f) = 0.
-2, 0
Let p = -607/5 - -122. Factor 3/5*g + 0 + p*g**2.
3*g*(g + 1)/5
Let w(k) = 5*k**2 - 6*k + 4. Let x(j) = -11*j**2 + 11*j - 7. Let h(s) = -7*w(s) - 4*x(s). Let h(f) = 0. Calculate f.
0, 2/9
Let z(u) be the third derivative of -u**5/30 - u**4/6 + 13*u**2. Factor z(l).
-2*l*(l + 2)
Let f(p) = 1. Let y(c) = 3*c**2 - 8*c + 6. Let d(t) = -6*f(t) + 3*y(t). Factor d(u).
3*(u - 2)*(3*u - 2)
Solve -2/5*x**2 + 4*x + 0 = 0 for x.
0, 10
Let v be (-4 - -2) + 10/2. Suppose -4*s + v*h - 1 = -0*s, 2*h - 6 = 0. Factor -2*r**3 - 2*r**s + r**2 - r**2.
-2*r**2*(r + 1)
Let w(i) = i + 4. Let g be w(6). Suppose 2*z - g = -5*y + 5, 0 = -3*y + 4*z + 9. Factor 2*r**2 + 1/2*r + 0 + 2*r**4 + y*r**3 + 1/2*r**5.
r*(r + 1)**4/2
Let t(a) be the second derivative of a**4/36 - a**3/9 - a**2/2 + 31*a. Factor t(k).
(k - 3)*(k + 1)/3
Let g(l) be the first derivative of 5*l**3/3 + 5*l**2 - 15*l + 5. Factor g(t).
5*(t - 1)*(t + 3)
Let k be (-4)/(-10) - (2/5 - 2). Find v such that 2/5*v**k + 2/5 - 4/5*v = 0.
1
Factor -2/3*c**2 + 0 + 1/3*c**3 + 1/3*c.
c*(c - 1)**2/3
Let l = 14/11 + -23/44. Find w such that 3/2*w**2 + 3/4*w + 0 + l*w**3 = 0.
-1, 0
Let g(r) be the first derivative of 7