0*w**2 + 170*w + 2886 - 3058 = 0. Calculate w.
-86, 1
Find t such that -13/8*t**3 + 25/4 - 95/8*t + 57/8*t**2 + 1/8*t**4 = 0.
1, 2, 5
Let u(i) be the second derivative of -1/12*i**4 + i**2 + 1/6*i**3 + 0 - i. Factor u(r).
-(r - 2)*(r + 1)
Let j = -40 - -45. Factor 2*x**j - 2*x - 3*x**4 + 22*x**2 - 18*x**2 - x**4.
2*x*(x - 1)**3*(x + 1)
Factor 0 + 0*c - 44*c**3 + 4/7*c**4 - 312/7*c**2.
4*c**2*(c - 78)*(c + 1)/7
Let h(n) = n**3 - n**2 - 11*n + 17. Let f be h(3). Find d, given that -1/2*d**3 - 5/2*d**2 - f - 4*d = 0.
-2, -1
Suppose 6 = -4*w + 26. Suppose 0 = -k + 2*a + 3 + 9, -4*k + 36 = -5*a. Factor -4*h**3 + 3*h**k - 4*h**3 + w*h**3.
3*h**3*(h - 1)
Suppose -6/13*z**2 - 2/13 - 6/13*z - 2/13*z**3 = 0. What is z?
-1
Let o(y) be the first derivative of y**3/3 - 15*y**2/2 + 17*y + 119. Let i be o(14). Suppose -2*a + 2*a**i + 2/3*a**2 + 2/3*a**4 - 4/3 = 0. What is a?
-2, -1, 1
Suppose 0 = 5*i + 4*y + 72, -6*y + 24 = -2*i - 10*y. Let x be (6/4)/((-14)/i). Let 0*l - 108/7*l**3 + x*l**2 + 0 + 243/7*l**4 = 0. Calculate l.
0, 2/9
Factor 3/5*f**3 - 16/5 + 16/5*f**2 + 12/5*f.
(f + 2)*(f + 4)*(3*f - 2)/5
Let a(z) be the second derivative of z**5/5 + 5*z**4/3 + 14*z**3/3 + 6*z**2 - 120*z. Factor a(p).
4*(p + 1)**2*(p + 3)
Suppose 3*d**2 + 120 + 45*d**2 + 216*d + 123 = 0. What is d?
-9/4
Suppose 8 = -c + 13. Let v(h) be the first derivative of 2/25*h**c - 2/15*h**3 + 0*h - 1/10*h**4 - 4 + 1/5*h**2. What is o in v(o) = 0?
-1, 0, 1
Let i(h) be the second derivative of 0 + 1/3*h**4 + 2/3*h**3 - 4*h**2 + 3*h. Factor i(p).
4*(p - 1)*(p + 2)
Let s(m) = m**2 + 61*m - 40. Let t(i) = -4*i + 4. Let v(y) = -15*y + 16. Let n(h) = 18*t(h) - 4*v(h). Let d(z) = -22*n(z) - 4*s(z). Factor d(l).
-4*(l - 4)*(l - 1)
Suppose -3*l - 5*g + 25 = 0, 0 = 19*g - 24*g + 25. Let d(u) be the second derivative of -2*u - 2/51*u**3 + 5/102*u**4 + 0 + l*u**2. Suppose d(o) = 0. What is o?
0, 2/5
Suppose 2/11*b**3 + 40/11*b**2 - 8/11*b - 160/11 = 0. Calculate b.
-20, -2, 2
Let v(a) be the third derivative of -a**6/1260 - a**5/90 - a**4/18 - 8*a**3/63 + 32*a**2 - 2*a. Let v(c) = 0. Calculate c.
-4, -2, -1
Let t(i) = -70*i**4 + 958*i**3 - 3442*i**2 + 392*i + 2. Let z(y) = y**4 + y**3 - y**2 - 1. Let v(u) = t(u) + 2*z(u). Determine w, given that v(w) = 0.
0, 2/17, 7
Suppose -2*x = 3*x - 5*k - 5, 2*k + 2 = -4*x. Let s(z) be the second derivative of -1/30*z**4 - 2*z + 0 + x*z**3 + 0*z**2. Factor s(w).
-2*w**2/5
Let a(k) = -k**2 + k + 3. Let p(c) = 4*c**2 + 3*c - 16. Let v(z) = 3*a(z) + p(z). Factor v(f).
(f - 1)*(f + 7)
Let q(o) be the third derivative of -97/240*o**5 - 19/48*o**4 + o**2 + 9 + 0*o - 1/6*o**3 + 27/560*o**7 - 3/64*o**6. Factor q(a).
(a - 2)*(a + 1)*(9*a + 2)**2/8
What is f in 2/7*f**2 + 0*f - 18/7 = 0?
-3, 3
Let o(b) = -b**2 - 3*b + 2. Let x be o(-4). Let a be 0 - 2*(x + 1). Factor -4*w**3 - 13 - 2*w**4 + 13 - w + 5*w + a*w**2.
-2*w*(w - 1)*(w + 1)*(w + 2)
Let a(i) = 2*i**3 + i**2 - 1. Let u(v) = 7*v**3 + 12*v**2 + 24*v + 17. Let j(k) = 12*a(k) - 4*u(k). Factor j(f).
-4*(f + 2)**2*(f + 5)
Let r be (-1 - 0)*9*(-3 + (-160)/(-70)). Factor 12*j**2 + 33/7*j - 6/7 + r*j**3.
3*(j + 1)**2*(15*j - 2)/7
Let m(j) = -292*j - 292. Let d be m(-1). Solve 0*a + d - 1/2*a**3 - 3/2*a**2 = 0 for a.
-3, 0
Solve 15*s**2 + 0 - 3/2*s**3 - 27/2*s = 0 for s.
0, 1, 9
Let z(l) be the third derivative of l**8/4032 - l**7/378 + 5*l**6/432 - l**5/36 + l**4/2 + 3*l**2. Let b(a) be the second derivative of z(a). Factor b(v).
5*(v - 2)*(v - 1)**2/3
Let f(b) = 292*b + 6145. Let a be f(-21). Factor -10/3 - 2*r**4 + 34/3*r**3 - 1/3*r**5 + a*r - 56/3*r**2.
-(r - 1)**4*(r + 10)/3
Factor 976/7*o + 40 - 2*o**2.
-2*(o - 70)*(7*o + 2)/7
Let l(g) be the first derivative of -8 - 1/9*g**6 + 0*g**2 + 4/15*g**5 + 0*g**3 - 1/6*g**4 + 0*g. Solve l(s) = 0 for s.
0, 1
Let o(l) be the second derivative of -l**5/4 + 65*l**4/6 - 375*l**3/2 + 1620*l**2 + 75*l. Determine f, given that o(f) = 0.
8, 9
Suppose 2*k = 5*k + 12. Let r be (-7)/(-5) + k + 3. Determine c, given that r*c**4 + 0*c + 0 + 2/5*c**2 + 4/5*c**3 = 0.
-1, 0
Let f(m) be the first derivative of -5*m**4/4 + 35*m**3/3 - 30*m**2 - 49. Suppose f(u) = 0. What is u?
0, 3, 4
Let f(b) = 5*b - 75. Let j be f(15). Let t(y) be the second derivative of -1/90*y**5 + 1/135*y**6 - 1/54*y**4 - y + j + 1/27*y**3 + 0*y**2. Factor t(s).
2*s*(s - 1)**2*(s + 1)/9
Let i(x) be the second derivative of 3*x**5/20 - x**4/2 - 29*x**3/2 + 45*x**2 - 30*x. Factor i(a).
3*(a - 6)*(a - 1)*(a + 5)
Let n(t) be the second derivative of -t**6/120 - 9*t**5/20 - 81*t**4/8 + 19*t**3/6 - 7*t. Let q(i) be the second derivative of n(i). What is r in q(r) = 0?
-9
Let h(r) = 20*r**2 + 555*r - 1920. Let l(f) = 5*f**2 + 139*f - 480. Let y(t) = -6*h(t) + 25*l(t). Suppose y(d) = 0. What is d?
-32, 3
Let a(r) be the second derivative of 0*r**3 + 5/12*r**4 + 0*r**2 + 0 - 3*r + 1/4*r**5. Factor a(p).
5*p**2*(p + 1)
Let w(o) be the third derivative of -o**7/420 - o**6/60 + 9*o**5/40 + 35*o**4/24 - 50*o**3/3 - 827*o**2. Factor w(m).
-(m - 4)*(m - 2)*(m + 5)**2/2
Let w(a) = -3 + 1 + 2 + a**2. Let u(t) = t**2 - t. Let f(s) = 2*u(s) - w(s). Factor f(q).
q*(q - 2)
Let g(k) be the second derivative of k**5/20 + k**4/6 - 5*k**3/6 - 3*k**2 + 49*k. Factor g(t).
(t - 2)*(t + 1)*(t + 3)
Let i = -3 + 13. Factor -34*c + 10*c**3 - 2*c**3 + 2*c**4 + 38*c + i*c**2.
2*c*(c + 1)**2*(c + 2)
Let a(x) be the second derivative of 13*x - 3/50*x**5 + 1/25*x**6 + 0*x**3 + 2/105*x**7 + 0 + 0*x**2 - 1/15*x**4. Solve a(d) = 0.
-2, -1/2, 0, 1
Let j be (5/(-15) + -1)*18/(-12). Let p be 1/1 - 0 - -1. Factor -18*b**j - 3 - 3*b + 23*b**p + 5*b.
(b + 1)*(5*b - 3)
Let h(i) be the second derivative of i**9/75600 - i**8/11200 + i**7/4200 - i**6/3600 - 7*i**4/2 - 23*i. Let k(f) be the third derivative of h(f). Factor k(s).
s*(s - 1)**3/5
Let b(j) be the third derivative of j**7/560 + 3*j**6/40 + 27*j**5/20 + 27*j**4/2 - j**3/3 + 15*j**2. Let f(z) be the first derivative of b(z). Factor f(i).
3*(i + 6)**3/2
Let p be 9/6 - 990/(-20). Let t = p - 45. Factor t + 3/2*n**2 - 6*n.
3*(n - 2)**2/2
Let g(p) = 11*p + 45. Let c(v) = -5*v - 22. Let m(u) = -9*c(u) - 4*g(u). Let x be m(-14). Factor -x*y**5 + y**2 + 4*y**4 + 8*y**5 - 5*y**2 - 4*y**3.
4*y**2*(y - 1)*(y + 1)**2
Let s(m) be the second derivative of 0 + m**2 - 1/8*m**4 + 3*m - 1/60*m**5 - 1/3*m**3. Let j(v) be the first derivative of s(v). Factor j(u).
-(u + 1)*(u + 2)
Factor 0 + 16/7*w**2 + 6/7*w - 2/7*w**5 + 0*w**4 + 12/7*w**3.
-2*w*(w - 3)*(w + 1)**3/7
Factor -14*s - 7/3*s**3 + 6 + 61/6*s**2 + 1/6*s**4.
(s - 6)**2*(s - 1)**2/6
Suppose -1/6*w**4 - 2/3 + 5/6*w**2 + 0*w + 0*w**3 = 0. What is w?
-2, -1, 1, 2
Let h(n) be the third derivative of 4/9*n**3 + 0*n + 0 - 1/10*n**5 - 1/6*n**4 + n**2 - 1/72*n**6. Factor h(v).
-(v + 2)**2*(5*v - 2)/3
Let j(t) be the third derivative of t**6/1080 - t**5/72 + t**4/12 - t**3/3 + 19*t**2. Let u(o) be the first derivative of j(o). Factor u(c).
(c - 3)*(c - 2)/3
Let h = 1599 + -1597. Let i = -11 - -11. Let 0*c**h + i - 2/9*c**3 + 2/9*c = 0. What is c?
-1, 0, 1
Let m(s) = -s**2 + 1. Let f(w) = -4*w**2 + 16*w - 22. Let g(p) = -f(p) + 2*m(p). Suppose g(u) = 0. Calculate u.
2, 6
Suppose 5*c = 3*w + 52, 2*w - 16 = -3*c - 0*w. Let o(f) = f**2 - 15*f + 39. Let z be o(12). Factor -c*a**z - 4*a**3 + 41*a - 44*a - 12*a**2.
-3*a*(2*a + 1)**2
Let w(k) be the third derivative of -k**5/300 - 19*k**4/120 + 2*k**3/3 + 150*k**2. Factor w(i).
-(i - 1)*(i + 20)/5
Let o(g) be the second derivative of g**4/27 - 64*g**3/27 - 22*g**2/3 - 285*g - 2. Factor o(b).
4*(b - 33)*(b + 1)/9
Let d be (-14)/(2940/2093) - -10. Let c(n) be the first derivative of -d*n**3 + 0*n + 0*n**2 + 1/40*n**4 + 13. Factor c(j).
j**2*(j - 1)/10
Let j(m) be the first derivative of -2*m**7/1575 + m**6/900 + m**5/225 - m**4/180 - 5*m**2 - 6. Let w(x) be the second derivative of j(x). Solve w(p) = 0 for p.
-1, 0, 1/2, 1
Let j(n) = -5*n**2 - 12*n - 54. Let g(h) = h**2 + 3*h + 14. Let x(f) = 9*g(f) + 2*j(f). Factor x(z).
-(z - 6)*(z + 3)
Let m(a) = a**3 + 3*a**2 - 3*a - 2. Let z be m(-4). Let n = z - -14. Find x, given that -2 - 3*x + n + 0 - 2*x**2 - x**2 = 0.
-2, 1
Suppose 17*m - 12*m - 12*m = 0. Let g = -93 - -95. Let m - 21/2*s**3 + 6*s - 18*s**g = 0. Calculate s.
-2, 0, 2/7
Let x(a) = -a**3 - a. Let q be (-21)/(-35) - 356/10. Le