 0*h**4 - 2 + 1481*h - 1480*h + 3*h**2.
-(h - 1)**2*(h + 1)*(h + 2)
Let t be (-4)/(-15)*633/27008. Let m(g) be the third derivative of 0*g + 0*g**3 + 1/64*g**4 - t*g**5 + 0 + 10*g**2. Let m(u) = 0. What is u?
0, 1
Let n(y) be the third derivative of -y**9/100800 + y**8/16800 - y**7/8400 + y**5/15 - 28*y**2. Let r(b) be the third derivative of n(b). Solve r(c) = 0.
0, 1
Suppose 7*n = 5*n + d + 5, -5 = -5*d. Let a(c) = c**3 + 2. Let y be a(0). Determine t, given that 1/4*t - 1/4*t**n + 1/4*t**4 + 0 - 1/4*t**y = 0.
-1, 0, 1
Let j(h) be the third derivative of h**8/84 + 2*h**7/35 + 5*h**2 + 2*h. Let j(y) = 0. Calculate y.
-3, 0
Let q(n) = 27*n**3 - 275*n**2 + 1305*n - 405. Let m(k) = -160*k**3 + 1650*k**2 - 7830*k + 2430. Let h(d) = -6*m(d) - 35*q(d). Suppose h(z) = 0. What is z?
1/3, 9
Suppose -170*x + 78*x + 36*x = 179*x. Suppose 15*r**5 + 0*r - 145/3*r**4 + 40*r**3 - 20/3*r**2 + x = 0. What is r?
0, 2/9, 1, 2
Let x(o) be the second derivative of -1/12*o**3 + 0 - 1/60*o**6 - 3/40*o**5 - 1/8*o**4 - o + 0*o**2. Find v, given that x(v) = 0.
-1, 0
Let b(y) be the second derivative of 4/7*y**2 + 13*y - 5/21*y**3 + 0 + 1/42*y**4. Factor b(f).
2*(f - 4)*(f - 1)/7
Let w(c) = -c**3 - 2*c - 1. Let v be w(-1). Let x = 3 - -15. Let 3*s**v - 3*s**2 - 2*s**2 + x*s + 27 + 5*s**2 = 0. Calculate s.
-3
Suppose 68*b - 70*b - 2 = 4*a, -2*b = a + 8. Solve -1/2*r**3 + 0 - 1/2*r**4 + 0*r - 1/6*r**5 - 1/6*r**a = 0.
-1, 0
Factor -1/2*q**3 + 0 + 0*q - 9*q**2.
-q**2*(q + 18)/2
Let k(d) = d**3 - 8*d**2 + 11*d - 6. Let q be k(7). Suppose 2*f - q = -4*t, -3*t - 2*f = 2*f - 19. Factor t*b**2 + 5*b**2 + b**3 - 11*b**2 + b**4 - b**5.
-b**2*(b - 1)**2*(b + 1)
Let i = 300 + -296. Let n(o) be the third derivative of 4*o**2 + 0*o**3 + 0*o + 1/90*o**5 + 0 + 1/90*o**6 + 0*o**i. Factor n(t).
2*t**2*(2*t + 1)/3
Let b(a) be the second derivative of -a**6/180 - a**5/24 - a**4/8 - 7*a**3/36 - a**2/6 - 3*a - 33. Let b(h) = 0. What is h?
-2, -1
Factor 7/2*j + 2*j**2 - 1/2*j**3 - 5.
-(j - 5)*(j - 1)*(j + 2)/2
Solve 12*w**3 - 20*w**4 - 3*w**5 + 0*w**5 - 2*w**5 - 23*w**3 - 4*w**3 = 0 for w.
-3, -1, 0
Let z(l) = 16 + 5*l**2 - 86*l**3 - l - 21*l**2 + 87*l**3. Let c be z(16). Factor c + 4/5*x**2 + 1/5*x + 4/5*x**3.
x*(2*x + 1)**2/5
Let g(j) = -5*j**3 + 160*j**2 + 161*j - 20. Let n(v) = 70*v**3 - 2240*v**2 - 2255*v + 275. Let a(d) = -55*g(d) - 4*n(d). Factor a(l).
-5*l*(l - 33)*(l + 1)
Let y(k) = k**2. Let j(i) = 18*i**2 - 3*i + 15. Let u(q) = -q**2 - 1. Let c(r) = -2*j(r) - 30*u(r). Let t(h) = -c(h) - 3*y(h). Suppose t(w) = 0. Calculate w.
0, 2
Suppose 3*r + 4*s = 6*s + 10, 0 = 3*r + 3*s. Factor -3*o**r + 0*o - 18*o - 8*o - 48 + 2*o.
-3*(o + 4)**2
Let z = 1/5 - -3/10. Suppose -2*o + 2*f - 6 = -5*o, -4*o - f = -8. Factor -1 - z*a**3 - 2*a**o - 5/2*a.
-(a + 1)**2*(a + 2)/2
Let l(a) be the third derivative of -1/1320*a**6 - 1/165*a**5 + 0*a + 0 + 15*a**2 - 5/264*a**4 - 1/33*a**3. Determine y so that l(y) = 0.
-2, -1
Let w(g) be the third derivative of 0 - 4*g**4 + 8*g**2 + 0*g - 6*g**3 - 4/15*g**6 - 2/105*g**7 - 22/15*g**5. Factor w(u).
-4*(u + 1)**2*(u + 3)**2
Let n(d) be the first derivative of -16 + 2*d**2 + 2*d**3 + 0*d + 1/2*d**4. Determine y, given that n(y) = 0.
-2, -1, 0
Factor -38*b**2 + 209*b**3 - 12*b**4 - 36*b + 48 + b**5 - 168*b**3 + 8.
(b - 7)*(b - 2)**3*(b + 1)
Solve 4/3*q**2 - 8/3*q - 4 = 0 for q.
-1, 3
Let j(n) be the first derivative of -2*n**3/21 + 22*n**2/7 - 6*n + 25. Find v such that j(v) = 0.
1, 21
Let w(y) = 2*y**3 + y**2 + y - 1. Let b be w(1). Let 9*c**3 + 13*c**3 - 19*c**b = 0. Calculate c.
0
Let x(z) be the second derivative of -z**6/225 - 2*z**5/25 - z**4/2 - 10*z**3/9 + 2*z - 67. Solve x(d) = 0.
-5, -2, 0
Let u(i) be the first derivative of 14 + 0*i**2 + 3*i - 1/4*i**3. Factor u(o).
-3*(o - 2)*(o + 2)/4
Let h(k) be the third derivative of 1/6*k**3 + 1/48*k**4 + 0 + 0*k - 6*k**2 - 1/120*k**5. Factor h(l).
-(l - 2)*(l + 1)/2
Let r(o) be the first derivative of 5/4*o - 7/16*o**2 + 17 + 1/24*o**3. Factor r(p).
(p - 5)*(p - 2)/8
Let d(w) be the third derivative of 2*w**7/105 + w**6/15 - w**5/15 - w**4/3 + w**2 + 53*w. Factor d(t).
4*t*(t - 1)*(t + 1)*(t + 2)
Suppose -51 = 4*l - 163. Suppose -12*n + l = -20. Solve 0*m - 1/2*m**3 + 0 + 1/4*m**n + 1/4*m**2 = 0 for m.
0, 1
Let s(c) = -108*c**2 - 2224*c - 29776. Let l(n) = 10*n**2 + 202*n + 2707. Let z(u) = 32*l(u) + 3*s(u). Factor z(k).
-4*(k + 26)**2
Let i(l) be the first derivative of 9/2*l**4 + 22 + 3/5*l**5 + 15*l**2 + 12*l**3 + 9*l. Find q, given that i(q) = 0.
-3, -1
Let t = 235 + -219. Let l be t/(-48) - 14/(-6). What is p in 4/5*p**l + 4/5*p - 1/5*p**3 + 0 - 1/5*p**4 = 0?
-2, -1, 0, 2
Let z(a) be the third derivative of a**5/120 + a**4/4 + 5*a**3/3 + 15*a**2 - 28. Factor z(w).
(w + 2)*(w + 10)/2
Let h be 3114/(-30) + 2/(-10). Let j = h - -106. Find n such that -2*n - 10/9*n**3 - 4/9 - 8/3*n**j = 0.
-1, -2/5
Factor 38/3*y**2 - 8*y - 28/9*y**3 - 24 + 2/9*y**4.
2*(y - 6)**2*(y - 3)*(y + 1)/9
Let r(i) be the third derivative of 0 + 0*i + 1/36*i**4 + 0*i**3 + 6*i**2 - 1/60*i**6 - 1/45*i**5. Factor r(k).
-2*k*(k + 1)*(3*k - 1)/3
Let f(n) be the third derivative of n**6/180 - n**5/90 - n**4/36 + n**3/9 + 100*n**2 + 1. Factor f(y).
2*(y - 1)**2*(y + 1)/3
Let 3243*x**3 - 82 - 110 - 4*x**4 - 3231*x**3 + 48*x**2 - 80*x = 0. Calculate x.
-2, 3, 4
Let z = 2073 - 2073. Let t(p) be the third derivative of z*p - 1/240*p**5 + 0*p**3 + 0 + 6*p**2 + 1/96*p**4. Factor t(y).
-y*(y - 1)/4
Let h be ((-4)/(-10))/(1/15). Factor -2*x**3 - x**2 + 0*x**2 - 4*x**3 - x**2 - 2*x**5 - h*x**4.
-2*x**2*(x + 1)**3
Let t = -14/349 - -1787/1047. Suppose t*m**3 - 5/3*m**5 + 5/3*m**2 + 0 - 5/3*m**4 + 0*m = 0. Calculate m.
-1, 0, 1
Suppose -42*c = 4*a - 41*c - 5, 5*a - 20 = -4*c. Factor 3/5*b**5 + 3/5*b**2 - 3/5*b**3 + a - 3/5*b**4 + 0*b.
3*b**2*(b - 1)**2*(b + 1)/5
Factor 1/11*o**3 - 54/11 + 0*o**2 - 27/11*o.
(o - 6)*(o + 3)**2/11
Let l(u) be the third derivative of u**7/21 - 19*u**6/24 - 35*u**5/12 + 55*u**4/12 - 592*u**2. Factor l(x).
5*x*(x - 11)*(x + 2)*(2*x - 1)
Let x(g) be the third derivative of -6*g**7/35 + g**6/5 + 7*g**5/12 - 25*g**4/24 + 57*g**2. Factor x(p).
-p*(p + 1)*(6*p - 5)**2
Let t(n) be the first derivative of -7*n + 1/5*n**5 + 5 - 4*n**2 + 0*n**4 - 2*n**3. Let m(w) be the first derivative of t(w). Find i such that m(i) = 0.
-1, 2
Factor -15/2 + 1/4*h**2 + 1/4*h.
(h - 5)*(h + 6)/4
Let c(d) be the second derivative of -d**4/20 + 3*d**3/2 + 24*d**2/5 - 4*d. Factor c(n).
-3*(n - 16)*(n + 1)/5
Let o(y) = -y**3 + 7*y**2 - y + 15. Let w be o(7). Let h be (2 - 18/w)/(1/(-30)). Suppose -175/4*m**4 + h*m**3 - 125/2*m**5 + 0 + 11*m**2 + 2*m = 0. What is m?
-2/5, 0, 1/2
Let x(w) = 6*w**4 - 15*w**3 - 24*w**2 - 15*w + 15. Let p(a) = -2*a**2 - a + 1. Let s(j) = -15*p(j) + x(j). Factor s(h).
3*h**2*(h - 2)*(2*h - 1)
Suppose -3*o = -4*c + 24, -c + 2*o = 5 - 16. Suppose 2*l = c*l - 2. Suppose 0*x**3 - 2/5*x**l + 0*x + 2/5*x**4 + 0 = 0. What is x?
-1, 0, 1
Suppose -6*p + 50 = 14. Suppose p = 4*f - 10. Suppose 4*y - 98*y**2 + 3*y**f + 94*y**2 - 2*y**4 - 4*y**3 + 3*y**4 = 0. What is y?
-1, 0, 1
Let x = -139 + 149. Suppose -5*n = 5*g - x, g - 2*n - 1 = -4*n. What is p in 0 + 1/2*p + 0*p**2 - 1/2*p**g = 0?
-1, 0, 1
Let x(p) be the second derivative of 5*p**5/4 - 160*p**4/3 + 3965*p**3/6 + 845*p**2 - 4*p - 20. Factor x(z).
5*(z - 13)**2*(5*z + 2)
Let l(t) be the third derivative of t**8/33600 - t**7/2800 + t**6/600 - 2*t**5/15 - 11*t**2. Let f(p) be the third derivative of l(p). Factor f(b).
3*(b - 2)*(b - 1)/5
Let q(c) be the second derivative of -21*c - 3/32*c**4 - 5/8*c**3 + 3/2*c**2 + 0. Let q(j) = 0. Calculate j.
-4, 2/3
Suppose -11 = -5*j + 4*c - 3*c, -2*j - 5*c - 1 = 0. Let l = j + 1. Solve -2/3*s**2 - 1/3*s**l - 1/3*s + 0 = 0.
-1, 0
Let u = -1643 + 9859/6. Determine s, given that -u*s**2 + 7/6*s + 0 = 0.
0, 7
Let p(a) be the first derivative of -2/5*a**2 + 1/5*a**4 + 0*a - 4/15*a**3 + 10 + 4/25*a**5. Factor p(u).
4*u*(u - 1)*(u + 1)**2/5
Let l = 623 + -623. Let p(v) be the second derivative of 3/10*v**5 + 0 + l*v**2 - v + 1/10*v**6 + 1/4*v**4 + 0*v**3. Solve p(o) = 0.
-1, 0
Let d(q) = 3*q - 7. Let s(b) = -5*b + 11. Let x(p) = 8*d(p) + 5*s(p). Let r be x(-6). Factor 3*m**3 - r*m**2 - 7*m + m + 2*m**2.
3*m*(m - 2)*(m + 1)
Suppose 0 = -p + 4*k + 19, -2*