actor 1/2*d**3 - o*d + 3/2 + 1/2*d**2.
(d - 1)**2*(d + 3)/2
Let s(z) be the second derivative of -z**8/16800 - z**7/900 - z**6/225 + 4*z**5/75 + 3*z**4/4 + 21*z. Let p(n) be the third derivative of s(n). Factor p(o).
-2*(o - 1)*(o + 4)**2/5
Let z(h) be the third derivative of -h**7/280 + 3*h**6/80 - 11*h**5/80 + 3*h**4/16 + h**2 - 117*h. Let z(l) = 0. What is l?
0, 1, 2, 3
Let z(t) = -2*t**3 + 10*t**2 + 86*t + 70. Let y(d) = d**3 + d**2 + d - 1. Let k(j) = -2*y(j) + z(j). Factor k(v).
-4*(v - 6)*(v + 1)*(v + 3)
Suppose -2*j + 8 = 2. Suppose 3*u + 1 = 5*c, j*c + 4*u - 7 = 11. Factor -3 - 9/2*x - 3/2*x**c.
-3*(x + 1)*(x + 2)/2
Let f(o) = 14*o**3 - 63*o**2 + 79*o - 42. Let j(y) = 55*y**3 - 250*y**2 + 315*y - 170. Let i(x) = 25*f(x) - 6*j(x). Suppose i(a) = 0. Calculate a.
3/4, 1, 2
Let z(s) be the first derivative of -5*s**4/18 + 8*s**3/9 - s**2 + 4*s/9 + 127. Let z(q) = 0. Calculate q.
2/5, 1
Let g(f) be the first derivative of 2*f**5 - 21*f**4 + 1322*f**3/15 - 924*f**2/5 + 968*f/5 + 114. Factor g(s).
2*(s - 2)**2*(5*s - 11)**2/5
Let z = 1/679 + -14269/6790. Let p = 167/70 + z. Determine y, given that 4/7*y**2 - p*y**3 + 0 + 0*y = 0.
0, 2
Suppose -3*l + 6*l = -3. Let t(o) = 2*o**2 - o - 1. Let q be t(l). Factor -9*a**3 - 2*a**4 - 8*a - 6*a**2 - 8*a**2 + q*a**2 - 2 + a**3.
-2*(a + 1)**4
Let z(t) = -7*t**3 + t**2 - 3*t - 3. Let w(k) = 64*k**3 - 8*k**2 + 28*k + 28. Let a(l) = 3*w(l) + 28*z(l). What is i in a(i) = 0?
0, 1
Let s(i) be the second derivative of 9*i - 2/7*i**2 + 0 - 3/7*i**3 - 1/14*i**5 - 2/7*i**4. Factor s(w).
-2*(w + 1)**2*(5*w + 2)/7
Let l(d) be the first derivative of -d**3/15 - 43*d**2/5 + 87*d/5 - 53. Factor l(a).
-(a - 1)*(a + 87)/5
Let d(r) = 3*r**4 + r**2 - 2*r. Let k(b) = 2*b**5 + 51*b**4 + 14*b**3 - 7*b**2 - 38*b. Let c(t) = -22*d(t) + 2*k(t). Factor c(x).
4*x*(x - 1)*(x + 1)**2*(x + 8)
Let r(n) be the first derivative of 18/5*n**5 - 6*n**3 + 0*n + 3/4*n**4 - 3/2*n**2 + 35. Factor r(k).
3*k*(k - 1)*(k + 1)*(6*k + 1)
Let p = 269/33 - 53/11. Factor 10/3*k**2 + 1/3 + 1/3*k**5 + p*k**3 + 5/3*k**4 + 5/3*k.
(k + 1)**5/3
Let q be 30 - 22 - (1368/(-30))/(-6). Find l, given that 6/5*l + 8/5 - q*l**2 = 0.
-1, 4
Let a = 1953 + -1951. Determine m, given that -9/4*m**3 + 3/2 - 3/4*m**a - 3/4*m**4 + 9/4*m = 0.
-2, -1, 1
Let o = 12746 - 12746. Factor -5/6*v**5 - 5/6*v + o + 0*v**2 + 5/3*v**3 + 0*v**4.
-5*v*(v - 1)**2*(v + 1)**2/6
Factor -16/5*j + 0 - 1/5*j**3 - 8/5*j**2.
-j*(j + 4)**2/5
Let v = -12 + 16. Let r be (-3 + 3)/(1 - -1). Factor -2*g + 0*g**4 + r*g**4 + v*g**2 - 4*g**4 + 2*g**5.
2*g*(g - 1)**3*(g + 1)
Solve 112*s**3 + 810*s**3 + 900 + 8934*s**2 - 1520*s**2 + 5070*s + 30*s**4 = 0.
-15, -2/5, -1/3
Let z = 363609/3196 + -16/799. Let f = 114 - z. Suppose 3/4*l**4 + 0 - 1/4*l**5 + f*l**2 + 0*l - 3/4*l**3 = 0. What is l?
0, 1
Suppose 3*q = -36 + 9. Let t(v) = v**2 + 9*v + 3. Let l be t(q). Find u, given that -2/13*u**l + 0 + 4/13*u - 2/13*u**2 = 0.
-2, 0, 1
Suppose -116*t - 80 + 50 + 52 + 98 - 4*t**2 = 0. What is t?
-30, 1
Suppose 89 + 53 = 71*v. Let l(s) be the first derivative of 5/3*s**3 - 5*s**v - 5 + 0*s. Factor l(d).
5*d*(d - 2)
Let f(r) = 10*r**3 + 30*r**2 - 95*r + 50. Let p = 63 + -58. Let v(h) = -5*h**3 - 15*h**2 + 47*h - 25. Let o(g) = p*v(g) + 2*f(g). Factor o(z).
-5*(z - 1)**2*(z + 5)
Let r(v) be the first derivative of -v**4/16 + v**3/2 - 9*v**2/8 + 7*v + 7. Let z(o) be the first derivative of r(o). Let z(j) = 0. What is j?
1, 3
Determine x so that -1/5*x**2 - 16/5 + 17/5*x = 0.
1, 16
Let n(r) be the second derivative of -r**5/4 - 5*r**4/12 + 25*r**3/3 - 20*r**2 - 18*r. Suppose n(w) = 0. Calculate w.
-4, 1, 2
Factor 108/19*a + 1458/19 + 2/19*a**2.
2*(a + 27)**2/19
Suppose 56*x - 60*x + 28 = 0. Let p(h) be the third derivative of x*h**2 + 0*h**3 + 1/15*h**7 + 0 - 1/3*h**4 - 1/12*h**6 - 8/15*h**5 + 0*h. Solve p(a) = 0.
-1, -2/7, 0, 2
Solve -13/4*f**3 + 13/4*f + 0 + 1/4*f**4 - 1/4*f**2 = 0 for f.
-1, 0, 1, 13
Let q(j) be the first derivative of 3*j**4 + 26 + 48/5*j**5 - 16*j**3 + 0*j + 0*j**2 + 5/2*j**6. Factor q(w).
3*w**2*(w + 2)**2*(5*w - 4)
Let a(r) = r**3 + r**2 - 3*r - 1. Let n(c) = 9*c**3 - 31*c**2 + 58*c - 44. Let x(z) = 4*a(z) - n(z). Factor x(l).
-5*(l - 4)*(l - 2)*(l - 1)
Factor 6*r + 41/4*r**3 + 0 + r**4 + 53/2*r**2.
r*(r + 4)*(r + 6)*(4*r + 1)/4
Let j = -72845/2 + 36424. Factor j*q**3 - 3 + 3/4*q**2 - 6*q.
3*(q - 2)*(q + 2)*(2*q + 1)/4
Let j(a) be the first derivative of 2*a**6/3 + 4*a**5 + 6*a**4 - 16*a**3/3 - 16*a**2 - 125. Factor j(c).
4*c*(c - 1)*(c + 2)**3
Let x(g) be the third derivative of 1/180*g**5 - 8*g**2 + 0*g + 1/9*g**4 + 0 - 1/2*g**3. Factor x(t).
(t - 1)*(t + 9)/3
Let r = 242142/7 - 34508. Let k = -576/7 + r. Factor 4/7 + k*m**2 - 2*m.
2*(m - 1)*(5*m - 2)/7
Determine o, given that -30/11*o**3 - 6/11*o**2 + 0*o + 0 = 0.
-1/5, 0
Let v(j) be the first derivative of j**5 - 3*j**4/4 - 5*j**3/3 + 3*j**2/2 + 134. Find m such that v(m) = 0.
-1, 0, 3/5, 1
Let u(k) be the second derivative of k**4/8 - 119*k**3/2 + 42483*k**2/4 + 18*k. Factor u(n).
3*(n - 119)**2/2
Let r be (1 - (-10)/(-6)) + 1412/2118. Factor -8/3*y**2 - 2/3*y + r.
-2*y*(4*y + 1)/3
Suppose -m + 0*j = -j - 10, 14 = 3*m + 5*j. Find f, given that 21*f**3 - 85*f**3 - 20*f**2 + 56*f**5 + 7*f**4 + 5*f**4 + 8*f + m*f**2 = 0.
-1, -1/2, 0, 2/7, 1
Let y be (-140)/21*(-3 - (-27)/15). Let o be ((-3)/(y*3))/((-10)/40). Factor -9/4*z - o - 3/4*z**3 - 5/2*z**2.
-(z + 1)*(z + 2)*(3*z + 1)/4
Factor -6*k - 1/2*k**2 - 11/2.
-(k + 1)*(k + 11)/2
Let m(t) be the second derivative of 25/12*t**4 - 1/4*t**5 - 6*t - 45/2*t**2 + 0 - 5/2*t**3. Determine p so that m(p) = 0.
-1, 3
Let o(d) be the second derivative of 5*d**4/12 - 25*d**3/6 + 10*d**2 + 154*d. Factor o(t).
5*(t - 4)*(t - 1)
Solve 2*y**3 - 4*y**3 + 6*y**3 - 64 + 60*y**2 - 4*y + 4 = 0 for y.
-15, -1, 1
Let o(g) = 3*g**2 - 67*g + 307. Let d(j) = -j**2 + 22*j - 102. Let s(f) = -14*d(f) - 4*o(f). Solve s(w) = 0.
10
Suppose -633*y**2 + 6570*y**4 + 162*y**5 + 201 - 1860*y + 111 + 9854*y**3 + 1591*y**2 - 316*y = 0. Calculate y.
-39, -1, 2/9
Let s(a) be the second derivative of -a**4/8 + 9*a**3/4 + 39*a**2 + 20*a + 7. Solve s(r) = 0 for r.
-4, 13
Let x(d) be the third derivative of d**7/13860 + d**6/3960 - d**5/330 - 11*d**4/24 + 9*d**2. Let f(y) be the second derivative of x(y). Factor f(a).
2*(a - 1)*(a + 2)/11
Let t(c) be the first derivative of -c**6/72 + 2*c**5/3 - 40*c**4/3 - 8*c**3/3 + 7. Let o(b) be the third derivative of t(b). Factor o(p).
-5*(p - 8)**2
Let l(b) be the first derivative of -b**4 + 7*b**3/2 + 3*b**2 - 12*b + 6. Let r(a) be the first derivative of l(a). What is u in r(u) = 0?
-1/4, 2
Let c be (-20)/(-28) - 738/(-574). Factor -5/2*x - 5/4 - 5/4*x**c.
-5*(x + 1)**2/4
Let l = -31 - -32. Let d be 6*l*(-15)/(-45). Solve 0 - 2/3*z + 2*z**3 - 4/3*z**d = 0.
-1/3, 0, 1
Let g(r) be the second derivative of 3*r**5/40 + 87*r**4/2 + 10092*r**3 + 1170672*r**2 + 425*r. Suppose g(u) = 0. Calculate u.
-116
Let k = -155 - -134. Let l be k/(-15) + 2/20. Let -3 + 0*d**2 - l*d**3 + 9/2*d = 0. Calculate d.
-2, 1
Let o = 6626989 + -19185132353/2895. Let u = o - 2/193. Factor 0 + 0*m**3 - 2/15*m**4 + 2/5*m**2 + u*m.
-2*m*(m - 2)*(m + 1)**2/15
Let f(h) be the first derivative of -h**6/30 + h**4/6 + 9*h**2/2 - 10. Let v(u) be the second derivative of f(u). Find w, given that v(w) = 0.
-1, 0, 1
Let z(l) be the second derivative of l**6/72 - l**5/6 + 8*l**3/3 + 3*l. Let h(y) be the second derivative of z(y). Factor h(w).
5*w*(w - 4)
Suppose -3*p = -17 + 14. Let w(g) = 3*g**4 - 10*g**3 - 12*g**2 + 2*g + 9. Let n(o) = -o**3 - o. Let r(q) = p*w(q) - 4*n(q). Find m such that r(m) = 0.
-1, 1, 3
Let d(k) be the third derivative of -k**5/120 + k**4/24 + k**3/4 + 3*k**2 + 25. Factor d(y).
-(y - 3)*(y + 1)/2
Let s(y) be the third derivative of 0 + 0*y**6 + 1/1680*y**7 + 0*y**3 + 0*y - 3*y**2 + 0*y**4 - 1/480*y**5. Let s(f) = 0. Calculate f.
-1, 0, 1
Let d be (2/(-5))/(16/(-10)). Let l be ((-3)/8)/(288/(-192)). Factor 1/4*n**4 - d*n + l*n**3 - 3/4*n**2 + 1/2.
(n - 1)**2*(n + 1)*(n + 2)/4
Let q(j) be the second derivative of j**6/60 - j**5/4 + 5*j**4/6 + 5*j**3/6 - 21*j**2/4 + 242*j. Suppose q(k) = 0. Calculate k.
-1, 1, 3, 7
What is h in 48*h**3 - 6*h + 6*h**2 - 22*h**3 - 2*h - 27*h**3 = 0?
0, 2, 4
Let t(u) be the first deriv