4/s. Factor -1/5 + m*d - 1/5*d**2.
-(d - 1)**2/5
Find q such that -2/5*q**4 + 0 + 0*q - 4/5*q**3 - 2/5*q**2 = 0.
-1, 0
Let c(d) be the first derivative of d**5/100 + d**4/20 + d**3/10 + d**2 - 2. Let p(k) be the second derivative of c(k). Solve p(f) = 0 for f.
-1
Let r(x) = 5*x**5 + 6*x**4 - x**3 - 6*x**2 + 4. Let d(p) = 4*p**5 + 5*p**4 - p**3 - 5*p**2 + 3. Let w(s) = -4*d(s) + 3*r(s). What is z in w(z) = 0?
-2, -1, 0, 1
Let o(z) be the third derivative of -z**8/588 + 2*z**7/735 + z**6/105 - 2*z**5/105 - z**4/42 + 2*z**3/21 + 8*z**2. Suppose o(v) = 0. Calculate v.
-1, 1
Factor -7 + 3 - 3*w**2 + 4 + 3.
-3*(w - 1)*(w + 1)
What is f in 27/4*f + 0 - 9/2*f**2 + 3/4*f**3 = 0?
0, 3
Let u = 11 + -7. Solve 0*q**2 + 0 + 1/2*q - 3/2*q**3 + q**u = 0 for q.
-1/2, 0, 1
Factor -106 - 4*u**2 - 67 - 23 - 56*u.
-4*(u + 7)**2
Let t be 23/7 - 4/14. Factor 8*n**5 + 4*n**t - 12*n + 6*n**4 + 16*n**2 + 2 - 6*n**4 - 3*n**4 - 15*n**4.
2*(n - 1)**3*(n + 1)*(4*n - 1)
Let r be (25 + -1)/((-45)/(-20)). Determine x, given that 0 + 22/3*x**3 - 4/3*x**2 + 0*x - r*x**4 + 14/3*x**5 = 0.
0, 2/7, 1
Suppose 0 = -2*y + k + 3*k + 8, 2*y - 3*k = 8. Determine g, given that -10*g**3 + y*g**2 + 4*g + 9*g**3 - 8*g = 0.
0, 2
Let v(m) be the first derivative of -m**6/450 + m**5/25 - 3*m**4/10 - 5*m**3/3 + 7. Let y(w) be the third derivative of v(w). Determine b so that y(b) = 0.
3
Let q(f) be the second derivative of f**6/70 + 5*f**5/28 + 29*f**4/84 + f**3/6 + 18*f. Factor q(v).
v*(v + 1)*(v + 7)*(3*v + 1)/7
Let l(f) be the third derivative of 1/160*f**6 - 1/8*f**4 + 0 - 3*f**2 + 0*f + 1/80*f**5 - 1/2*f**3. Factor l(h).
3*(h - 2)*(h + 1)*(h + 2)/4
Let k(q) be the second derivative of -4*q**4/3 - 2*q**3/3 + 9*q. Factor k(p).
-4*p*(4*p + 1)
Let l(y) be the second derivative of -y**4/18 - 4*y**3/9 + 8*y. Let l(h) = 0. Calculate h.
-4, 0
Let y(u) = 2*u**2 + 3*u + 0 + 7*u**4 - 1 - u - 11*u**3. Let x(i) = -2 + 2 + 1 - i**3 + i**2. Let v(r) = -x(r) - y(r). Determine m so that v(m) = 0.
-2/7, 0, 1
Let r = 14 + -11. Let q be r + ((-3)/1)/1. Factor 14/3*i**3 - 4/3*i**2 + q*i - 10/3*i**4 + 0.
-2*i**2*(i - 1)*(5*i - 2)/3
Suppose -a - 6 = -h, a = -h + 4*h - 14. Let g(j) be the first derivative of 0*j - 1 + 7/2*j**4 - h*j**2 + 8*j**3. What is m in g(m) = 0?
-2, 0, 2/7
Let c be (-1)/2*-4 - (-14)/(-8). Determine i, given that 0 - 1/4*i**3 + c*i + 0*i**2 = 0.
-1, 0, 1
Let w = 14 - -4. Factor -16 - 3*g**2 + w*g - 10 - 1.
-3*(g - 3)**2
Let r be (-1)/(-2) + (-119)/(-34). Let p be r/(-15)*18/(-4). Suppose 0 - 2/5*s**3 - 4/5*s - p*s**2 = 0. Calculate s.
-2, -1, 0
Suppose -3*f + f = -6. Let q = -4 + 14. Let 0*g - g**4 - 2*g + g**3 - 4 + g**f - 5*g**4 + q*g**2 = 0. Calculate g.
-1, -2/3, 1
Let g(k) be the first derivative of 3*k**4/4 - 2*k**3 + 3*k**2/2 + 3. Solve g(c) = 0 for c.
0, 1
Let h(i) be the third derivative of -i**6/180 + i**5/30 - i**4/12 + i**3/9 - i**2 + 3. Factor h(d).
-2*(d - 1)**3/3
Let q(k) be the second derivative of k**4/60 - k**3/15 + 8*k. Determine y, given that q(y) = 0.
0, 2
Let z be -2 + 2 + 14/(-11). Let t = z - -39/22. Solve t*d**3 + 1/2 - 1/2*d - 1/2*d**2 = 0 for d.
-1, 1
Let 0 - 1/5*g**3 + 4/5*g**2 + g = 0. Calculate g.
-1, 0, 5
Let p(d) = -d**4 + d**3 + d**2 + 1. Let q(z) = -7*z**4 + 5*z**3 + 7*z**2 - 2*z + 3. Let n = 8 - 7. Let c(k) = n*q(k) - 3*p(k). Let c(y) = 0. What is y?
-1, 0, 1/2, 1
Let x(d) be the second derivative of -3*d**6/10 - 3*d**5/4 + 7*d**4/6 + 2*d**3 - 4*d**2 - 3*d. Suppose x(f) = 0. Calculate f.
-2, -1, 2/3
Suppose -2*a = a + 5*g, -5*g = a. Factor 2*s**4 - 4*s**4 + 4*s**2 - 2*s**3 + a*s**3 + 2*s**5 - 2*s**2.
2*s**2*(s - 1)**2*(s + 1)
Let w(t) = -t + 1. Let z(c) = 2*c**2 - 10*c + 8. Let f(m) = -10*w(m) + z(m). Factor f(k).
2*(k - 1)*(k + 1)
Let a = 122 + -487/4. Factor a*r**5 + 0 - 1/2*r**4 + 1/4*r**3 + 0*r + 0*r**2.
r**3*(r - 1)**2/4
Suppose w + 15 = -3*a + 8*a, 2*a = -w - 1. Factor 5*m**2 - 2*m - 4*m**2 + a*m - m.
m*(m - 1)
Let b be (26/(-144) - (-1)/6)/(-1). Let o(q) be the second derivative of 1/9*q**3 + b*q**4 + 3*q + 1/3*q**2 + 0. Factor o(t).
(t + 2)**2/6
Let k(w) be the first derivative of 0*w - 1/80*w**5 - 1 - 1/2*w**2 - 1/480*w**6 - 1/32*w**4 - 1/24*w**3. Let x(b) be the second derivative of k(b). Factor x(y).
-(y + 1)**3/4
Let c(x) = -4*x**2 + 47*x - 33. Let s be c(11). Solve -2/3*u + 0 + 2/3*u**3 + s*u**2 = 0 for u.
-1, 0, 1
Let n(x) be the third derivative of 0 - 1/72*x**4 + 0*x**3 - 1/360*x**5 + 1/720*x**6 + 0*x - 2*x**2. Find j, given that n(j) = 0.
-1, 0, 2
Let o be -8 - -4 - -3 - -4. Let d(j) be the second derivative of 1/70*j**5 - 3*j + 0*j**4 + 0*j**2 + 0 - 1/21*j**o. Factor d(x).
2*x*(x - 1)*(x + 1)/7
Let f(s) = -s - 2. Let j be f(-5). Factor g**3 + 4*g**j - 4*g**3 + 4*g - 4*g**2.
g*(g - 2)**2
Let t be 5/(-25) - 237/15. Let y be t/(-4) + -1 + 1. Solve -1/2*s**3 - 5/2*s**2 + 1/2*s + 3/2*s**y + 1 = 0 for s.
-1, -2/3, 1
Factor 3/4*m**2 + 0*m - 3/4.
3*(m - 1)*(m + 1)/4
Let c(g) = -g**2 - g - 2. Let y(n) = -n. Let v(d) = -c(d) - 3*y(d). Let o be v(-4). Let 2*m + 2*m**o + 4*m**3 - 3*m**3 - 5*m**2 = 0. What is m?
0, 1, 2
Let n be (-2)/(-4) - 72/(-16). Suppose -n*x + 6 = 4*m, -8 = -m - 3*m - 4*x. Find o such that 3*o + o - m*o - 2*o**2 = 0.
0
Let o(x) be the first derivative of 3/8*x**4 + 2/5*x**5 + 0*x**2 + 1 + 0*x - 1/6*x**3. Factor o(s).
s**2*(s + 1)*(4*s - 1)/2
Let c(w) be the second derivative of 0 + w - 1/3*w**3 - 1/3*w**4 + 0*w**2. Let c(q) = 0. Calculate q.
-1/2, 0
Let n(b) be the second derivative of 3*b**4/32 + 5*b**3/16 - 3*b**2/8 + 3*b. Factor n(t).
3*(t + 2)*(3*t - 1)/8
Suppose 3*x = 2*s + 7, 2*x - 44 = -4*s - 18. Suppose -2*r = -s*r. Let -1/2*f - 1/2*f**3 + r + f**2 = 0. What is f?
0, 1
Suppose 0 = 7*y - 5 - 16. Let i(l) be the second derivative of -l - 1/75*l**6 + 0 + 4/5*l**y - 13/30*l**4 - 4/5*l**2 + 3/25*l**5. Find r, given that i(r) = 0.
1, 2
Let g be 108/24 - (-1)/(-2). Factor 55*o**4 + 10*o - 12*o**2 + o**3 - 24*o**4 - 32*o**g - 3 + 5*o**3.
-(o - 3)*(o - 1)**3
Let x(g) = -8*g**3 - 29*g**2 - 21*g + 5. Let j(b) = 52*b**3 + 188*b**2 + 136*b - 32. Let p(d) = 5*j(d) + 32*x(d). Find k, given that p(k) = 0.
-2, -1, 0
Suppose -14 - 1 = -5*f. Let i(z) be the first derivative of 2*z**3 + 1 + 2*z + 1/2*z**4 + f*z**2. Find o, given that i(o) = 0.
-1
Let i = -5 + 9. Let o(m) be the second derivative of -1/10*m**5 - 1/2*m**2 + 1/42*m**7 + m - 1/30*m**6 + 0 + 1/6*m**3 + 1/6*m**i. Factor o(p).
(p - 1)**3*(p + 1)**2
Let a(b) be the first derivative of 1/9*b**3 + 1 - 1/3*b + 0*b**2. Factor a(y).
(y - 1)*(y + 1)/3
Let y(u) be the second derivative of u**4/27 - 4*u**3/9 - 19*u. Factor y(t).
4*t*(t - 6)/9
Find u, given that 1/2*u**2 + u - 3/2 = 0.
-3, 1
Let c = 17 + -12. Let m(h) be the third derivative of -1/45*h**c + 0*h**3 + 0 + 1/180*h**6 + h**2 + 1/36*h**4 + 0*h. Determine u, given that m(u) = 0.
0, 1
Let y(i) be the first derivative of -i**3/6 - 12. Determine u, given that y(u) = 0.
0
Let w = -2 + -1. Let k be 3/9*-8 - w. Solve 0 + 0*x**2 - 1/3*x**5 + 0*x + 0*x**3 - k*x**4 = 0.
-1, 0
Let d(a) = -a**3 + 4*a**2 - a + 4. Let x be d(4). Factor 0 - 3/5*k**2 + x*k.
-3*k**2/5
Solve 6*a**4 + 2*a**5 + 4*a**3 + 3 + 2 - 6*a - 4*a**2 - 2 - 5 = 0 for a.
-1, 1
Factor -4/13 - 2/13*d + 2/13*d**3 + 4/13*d**2.
2*(d - 1)*(d + 1)*(d + 2)/13
Suppose -2*g - 36 = 4*p - 0*g, 5*g + 10 = -2*p. Let i be 45/(-30) + (-19)/p. Find f, given that -i*f**3 - 6/5*f**2 - 2/5 - 6/5*f = 0.
-1
Let y(q) = -44*q**3 + 98*q**2 - 24*q - 14. Let g(b) = -221*b**3 + 489*b**2 - 120*b - 69. Let f(u) = 4*g(u) - 22*y(u). Factor f(l).
4*(l - 2)*(3*l - 2)*(7*l + 2)
Let z be 35/20 - (-3)/12. Factor 6*t**3 + t - 4*t**3 - 6*t**z + 5*t - 2.
2*(t - 1)**3
Factor -3*n + 2*n**3 - 3*n**3 + 4*n**2 - n.
-n*(n - 2)**2
Let j be 260/45 - (-2)/9. Let t be 8/j + 2/(-3). Let 0 - 2/3*l - t*l**3 + 4/3*l**2 = 0. What is l?
0, 1
Suppose 0 = 5*s - 3*s. Let q(r) be the first derivative of s*r + 2 - 2/9*r**3 - 1/3*r**2. Factor q(a).
-2*a*(a + 1)/3
Let l(m) = -22*m**3 + 78*m**2 + 56*m - 78. Let i(z) = 2*z**3 - 7*z**2 - 5*z + 7. Suppose -5*n + 16 = -14. Let x(u) = n*l(u) + 68*i(u). Factor x(a).
4*(a - 2)*(a - 1)*(a + 1)
Let g be (((-12)/9)/((-1)/(-3)))/(-9). Let c(w) be the second derivative of -w + 0 + g*w**3 - 2/15*w**5 + 1/18*w**4 - 1/3*w**2. Factor c(v).
-2*(v - 1)*(v + 1)*(4*v - 1)/3
Suppose -14 = -4*d + 2. What is q