3 - 2/3*d**2 + 0 + 2/3*d**4.
2*d*(d - 1)*(d + 1)*(d + 2)/3
Let m(v) be the first derivative of 5*v**4/2 - 5*v**3/3 - 10*v**2 + 15*v + 23. Factor m(a).
5*(a - 1)**2*(2*a + 3)
Let z(p) be the second derivative of p**7/280 + p**6/120 - p**5/40 - p**4/8 + 5*p**3/6 - 5*p. Let n(l) be the second derivative of z(l). Factor n(r).
3*(r - 1)*(r + 1)**2
Suppose 0 = 2*o - 11 + 3. Suppose 2 + 6 = -2*c - o*g, -5*c = -3*g - 19. Solve -3/2*t**c + 6*t**3 - t - 7/2*t**4 + 0 = 0 for t.
-2/7, 0, 1
Let c(j) = 3*j**2 + 4*j + 4. Let y(o) = -4*o**2 - 5*o - 5. Let n be (2/2 - 4) + 7. Let w(l) = n*y(l) + 5*c(l). Factor w(k).
-k**2
Let h(o) be the first derivative of -o**3/7 + 3*o**2/2 + 24*o/7 - 34. Determine r, given that h(r) = 0.
-1, 8
Let j(x) be the second derivative of -x**6/165 + x**5/55 + x**4/22 - 4*x**3/33 - 4*x**2/11 - 8*x. Factor j(c).
-2*(c - 2)**2*(c + 1)**2/11
Let v be 0/(-6 + 0 + (-28)/(-7)). Suppose v - 2/7*h**3 + 6/7*h**2 - 4/7*h = 0. What is h?
0, 1, 2
Let z = -13 + 13. Let m(o) be the third derivative of 0 - 1/60*o**4 + 0*o**3 + 2*o**2 + 1/75*o**6 + z*o + 0*o**5. Solve m(r) = 0.
-1/2, 0, 1/2
Let y(s) be the third derivative of s**7/210 - s**6/120 - s**5/60 + s**4/24 + 4*s**2. Determine i so that y(i) = 0.
-1, 0, 1
Let h be (8/16)/(2/16). Let f be (h/(-12))/(10/(-24)). What is m in 0 + f*m + 2/5*m**2 = 0?
-2, 0
Let k = 3 + -6. Let r be (3 + (-57)/18)*k. Solve 0*w**3 + 1/4*w**5 + 0 - 1/2*w**4 - 1/4*w + r*w**2 = 0.
-1, 0, 1
Let g(x) be the first derivative of 35*x**4/4 + 25*x**3/3 - 5*x**2 - 8. Solve g(u) = 0.
-1, 0, 2/7
Let q = 29 + -86/3. Suppose -f**4 + f**2 + 0 - 1/3*f + q*f**3 = 0. What is f?
-1, 0, 1/3, 1
Let y(s) = -s + 17. Let x be y(7). Let k be (1/(-2))/(2/(-60)). Find f, given that f**2 - x*f**3 - 4*f - k*f**2 + 0*f**3 + 0*f**2 = 0.
-1, -2/5, 0
Let n(k) = k**3. Let m(i) = 9*i**3 + 2*i. Let f(u) = 2*m(u) - 22*n(u). Find t such that f(t) = 0.
-1, 0, 1
Let t = 21 - 41. Let v be t/15*6/(-10). Find d such that -6/5*d - 2/5*d**2 - v = 0.
-2, -1
Let j(y) = y**2 + 9*y + 2. Let w be j(-9). Suppose -3*c = -t - 3, c - 2*t = -w - 2. Let -2/9*m**4 + 0 - 2/9*m**c - 4/9*m**3 + 0*m = 0. What is m?
-1, 0
Let q(h) be the third derivative of h**9/332640 + h**8/36960 + h**5/12 - 3*h**2. Let i(l) be the third derivative of q(l). Factor i(s).
2*s**2*(s + 3)/11
Factor -w**4 - 56*w**2 - 5*w**4 + 60*w**2 + 2*w**4.
-4*w**2*(w - 1)*(w + 1)
Let t(f) be the second derivative of -3*f**5/100 - 3*f**4/20 - 3*f**3/10 - 3*f**2/10 + 2*f. Solve t(m) = 0.
-1
Let v be (42/4)/7*10. Let h be ((-4)/v)/((-2)/5). Factor h + 4/3*j + 2/3*j**2.
2*(j + 1)**2/3
Let x(r) = -6*r**3 - 17*r**2 - 11*r + 17. Let u(f) = 2*f**3 + 6*f**2 + 4*f - 6. Let n(d) = 17*u(d) + 6*x(d). Factor n(m).
-2*m*(m - 1)*(m + 1)
Let a(z) = -2645*z**3 - 449*z**2 - 9*z. Let g(w) = 529*w**3 + 90*w**2 + 2*w. Let l(x) = 6*a(x) + 33*g(x). What is d in l(d) = 0?
-2/23, 0
Let m be (-15)/60 - (-2)/8. Factor -51 - 4*z + 51 + m*z**2 + 4*z**2.
4*z*(z - 1)
Factor -1 + s + 0 + s**2 - 4 + 3.
(s - 1)*(s + 2)
Let m(p) be the second derivative of -p**7/63 - p**6/15 - p**5/10 - p**4/18 + 18*p. Factor m(y).
-2*y**2*(y + 1)**3/3
Let f(k) = k**3 + k**2 - k. Let d(y) = 2*y**4 - 9*y**3 - 5*y**2 + 9*y. Let o(z) = d(z) + 3*f(z). Factor o(n).
2*n*(n - 3)*(n - 1)*(n + 1)
Suppose 0 = w - 6*w, t = -4*w + 2. Suppose -2 = -t*z + 2. Factor -n**2 - z*n**4 + n**3 - 3*n**3 + 2*n + 3*n**2.
-2*n*(n - 1)*(n + 1)**2
Let s(j) be the first derivative of -1/6*j**3 - 1/4*j**2 + 0*j + 1. Factor s(r).
-r*(r + 1)/2
Factor -3*y + 0*y - 15*y**3 + 6 - 18*y + 27*y**2 + 3*y**4.
3*(y - 2)*(y - 1)**3
Let u be (-4)/14 + 32/14. Let a be (4/(-6))/(u/(-6)). Factor -2*s**4 - 2*s**3 - s + a*s**2 + 2*s + s.
-2*s*(s - 1)*(s + 1)**2
Let z(m) be the second derivative of m**5/20 + m**4/3 + 5*m**3/6 + m**2 + 7*m. Suppose z(f) = 0. Calculate f.
-2, -1
Let n(z) = z**5 + 4*z**4 - 22*z**3 + 8*z**2 + 57*z + 36. Let h(k) = 2*k**5 + 9*k**4 - 45*k**3 + 17*k**2 + 114*k + 72. Let l(r) = 4*h(r) - 9*n(r). Factor l(s).
-(s - 3)**2*(s + 1)**2*(s + 4)
Suppose 4*o = s + 20 - 3, -s - 8 = -o. Let d(r) be the first derivative of 2/3*r - 2/3*r**2 + 2/9*r**o - 4. Factor d(h).
2*(h - 1)**2/3
Let p be 5*((-32)/10)/(-8). Determine b, given that -2/3*b + 1/3*b**p + 1/3 = 0.
1
Let p(q) = 3*q**2 - 13*q + 7. Let g be p(4). Suppose 3/2*y**4 + 0*y + 3/2*y**g + 0 + 1/2*y**5 + 1/2*y**2 = 0. Calculate y.
-1, 0
Let m(z) be the second derivative of 2*z**6/75 + 3*z**5/50 - z**4/15 - 8*z. Factor m(g).
2*g**2*(g + 2)*(2*g - 1)/5
Let r(l) = -3*l**2 - 9*l - 11. Let u(h) = 1. Let s(f) = r(f) + 5*u(f). Solve s(i) = 0 for i.
-2, -1
Let k(h) be the second derivative of h**6/45 - 7*h**5/30 + 5*h**4/6 - 13*h**3/9 + 4*h**2/3 + 13*h. Factor k(q).
2*(q - 4)*(q - 1)**3/3
Let p(f) be the second derivative of -f**5/5 + 3*f**4 - 18*f**3 + 54*f**2 + 6*f. Find u, given that p(u) = 0.
3
Let u = 154/141 + -20/47. Factor 0*k + 8/3*k**3 + 0 - u*k**4 - 8/3*k**2.
-2*k**2*(k - 2)**2/3
Suppose -98/3 + 70/3*n + 2/3*n**3 + 26/3*n**2 = 0. What is n?
-7, 1
Let k(p) be the second derivative of p**7/7560 + p**6/720 + p**5/180 - p**4/3 + 2*p. Let s(q) be the third derivative of k(q). Factor s(v).
(v + 1)*(v + 2)/3
Suppose 4*x + 4*n = 20, -x + 3*n = -n + 20. Suppose 2*v + v = x. Determine a so that -1/2*a**3 + v*a**2 - 1/2*a**5 + 0*a + a**4 + 0 = 0.
0, 1
Let h(a) be the second derivative of -a**9/90720 - a**4/4 + a. Let z(q) be the third derivative of h(q). Factor z(p).
-p**4/6
Determine p, given that p**3 - 3*p + 3 + 0*p - 3*p**2 + 2*p**3 + 0 = 0.
-1, 1
Let i(z) be the third derivative of -1/72*z**4 + 0 + 0*z**3 - 6*z**2 + 0*z - 13/360*z**5. Factor i(l).
-l*(13*l + 2)/6
Let z(k) = k**3 - 4*k**2 - 6*k + 7. Let r be z(5). Let b(h) be the second derivative of 0*h**3 + 0 + 1/48*h**4 + r*h + 0*h**2. Determine n, given that b(n) = 0.
0
Let b(a) be the first derivative of a**3/3 + 3*a**2 + 5*a - 2. Let z(q) = -q - 1. Let x(w) = -b(w) - 4*z(w). Determine g, given that x(g) = 0.
-1
Let s(q) be the second derivative of 1/30*q**4 - 3*q + 1/15*q**3 - 1/75*q**6 + 0*q**2 - 1/50*q**5 + 0. Suppose s(j) = 0. What is j?
-1, 0, 1
Let q(x) = -x**2 + 9*x + 3. Let o be q(9). Suppose -4*w**4 - w**2 - w**2 - o*w**3 + 7*w**3 + 2*w**4 = 0. Calculate w.
0, 1
Let l(f) be the second derivative of f**4/30 + f**3/5 - 4*f**2/5 + 12*f. Suppose l(y) = 0. What is y?
-4, 1
Suppose x - 2*h = 3*x - 16, 0 = -h - 1. Suppose -n - x = -4*n. Suppose -3*i**4 - 1 - 3*i**n - i**5 - i**2 + 1 = 0. What is i?
-1, 0
Let j(g) be the first derivative of -2*g**3/15 - 4*g**2/5 - 6*g/5 + 9. Factor j(u).
-2*(u + 1)*(u + 3)/5
Let s(l) = l - 2. Let n be s(5). Let h be 4/(4 + 0)*5. Let -29*k**4 - n*k**5 - 2*k - 2*k**h + 0*k**5 + 12*k**4 - 11*k**2 - 21*k**3 = 0. Calculate k.
-1, -2/5, 0
Let 0 - 5 + 3 - 4*m**2 + m**3 + 5*m = 0. What is m?
1, 2
Let t(g) be the second derivative of 49*g**4/4 + 14*g**3 + 6*g**2 + 10*g. Find d such that t(d) = 0.
-2/7
Let a = -3 + 5. Solve -2 + d**a + 2 + d**2 + 4 - 6*d = 0.
1, 2
Let b(c) be the first derivative of c**4/2 + 4*c**3/3 - c**2 - 4*c + 4. Suppose b(v) = 0. Calculate v.
-2, -1, 1
Let n = -22 + 24. Let z = -5 + 8. Find f such that 4*f**n - 4*f**2 - f**z = 0.
0
Let u be ((-8)/10)/1*20/(-72). Solve -2/9*h**5 + 0*h**3 + 4/9*h**4 + 0 - 4/9*h**2 + u*h = 0 for h.
-1, 0, 1
Let p(l) be the third derivative of l**7/12600 - l**5/600 - l**4/8 - 3*l**2. Let k(y) be the second derivative of p(y). Let k(i) = 0. What is i?
-1, 1
Let o(q) = 3*q**2 + 3*q. Let u = 1 + 1. Let g(f) = -3*f**2 + 7*f + 7*f**2 - 4*f - 1. Let k(j) = u*g(j) - 3*o(j). Suppose k(l) = 0. Calculate l.
-2, -1
Let n(l) = 6*l**2 - 3*l - 9. Let c(f) = -3*f**2 + f + 5. Let x(j) = -9*c(j) - 5*n(j). Factor x(y).
-3*y*(y - 2)
Factor 7*j**2 + 17*j**5 - 20*j**5 - 15*j**3 + 12*j**4 - j**2.
-3*j**2*(j - 2)*(j - 1)**2
Suppose 0 = y - 4 - 1. Let l be 13/5 - (-2)/y. Factor 8*k**l + 4 + 10*k**2 - 4 + 2*k.
2*k*(k + 1)*(4*k + 1)
What is p in -2/3*p**4 + 4/3*p**2 + 0 + 0*p + 2/3*p**3 = 0?
-1, 0, 2
Solve 9*f**2 - 1 - 4 + 4*f**3 + 6*f + 6 = 0.
-1, -1/4
Let s(x) be the third derivative of 2/105*x**7 + 1/168*x**8 - 1/15*x**5 + 0 + 0*x + 0*x**6 + 2*x**2 - 1/12*x**4 + 0*x**3. Factor s(b).
2*b*(b - 1)*(b + 1)**3
Let g(s) be the second derivative of 7*s**6/30 + 13*s**5/60 + s**4/18 - 23*s. Factor g(f).
f**2*(3*f + 1)*(7*f + 2)/3
Let p be