2/5.
-2*(p - 1)*(p + 1)/5
Let r(x) be the second derivative of x**5/4 + 25*x**4/12 + 5*x**3/2 - 45*x**2/2 + 12*x. Factor r(z).
5*(z - 1)*(z + 3)**2
Let r(b) = 15*b**3 - b**2 + 23*b - 15. Let m(z) be the first derivative of 4*z**2 + 2*z**2 - 2 - 2 + 2*z**4 - 8*z. Let l(n) = -11*m(n) + 6*r(n). Factor l(i).
2*(i - 1)**3
Let h = -84 - -87. Factor 2/3*r + 2/3*r**5 - 4/3*r**h - 2/3*r**4 - 2/3 + 4/3*r**2.
2*(r - 1)**3*(r + 1)**2/3
Factor -6*j**3 - 16/3*j**2 + 0 - 2/3*j**4 + 0*j.
-2*j**2*(j + 1)*(j + 8)/3
Solve d**2 - 4*d**2 - 3*d + 0*d**2 - 8*d**2 - 8*d**3 = 0.
-1, -3/8, 0
Let -5/2*l + 1/2*l**3 + 1/2*l**2 + 3/2 = 0. Calculate l.
-3, 1
Suppose 0 = -2*j - 13 + 91. Let 4*x**3 - 4*x**2 - j + 39 - 8*x = 0. What is x?
-1, 0, 2
Let f be ((-1)/2)/(1/(-6)). Let s(b) be the first derivative of 5/4*b**2 + 1/2*b**4 - 4/3*b**f - 1/2*b - 1. Suppose s(v) = 0. What is v?
1/2, 1
Factor i**4 - 3*i**4 + 7*i**2 - 5*i**2.
-2*i**2*(i - 1)*(i + 1)
Let q(p) be the third derivative of p**6/60 + 3*p**5/70 - p**4/7 - 4*p**3/21 - 7*p**2. Solve q(s) = 0.
-2, -2/7, 1
Let i(r) = r**5 - 14*r**4 - 16*r**3 + 14*r**2 + 15*r. Let q(s) = 15*s**4 + 15*s**3 - 15*s**2 - 15*s. Let a(l) = 5*i(l) + 6*q(l). Let a(u) = 0. What is u?
-3, -1, 0, 1
Let n = -4 - -8. Let -64*v**3 + 12 - 75*v**n + 37*v**2 + 69*v + 26*v**2 - 9*v + 4*v**3 = 0. Calculate v.
-1, -2/5, 1
Let i be ((-76)/57)/(5/(30/(-4))). Determine n so that -3/4*n - 1/4*n**3 - 1/4 - 3/4*n**i = 0.
-1
Suppose -5*v + 7*v + 46 = 0. Let c = v - -25. Solve -1 - 3/2*u**c + 5/2*u = 0 for u.
2/3, 1
What is n in 1/2*n**5 + 3/2*n**4 + 3/2*n**3 + 1/2*n**2 + 0 + 0*n = 0?
-1, 0
Let z be (-5)/(-162)*(-39)/(-26). Let m(q) be the third derivative of 2/27*q**3 - z*q**4 - 1/135*q**5 + 0 + 1/108*q**6 + 0*q - 2*q**2. What is d in m(d) = 0?
-1, 2/5, 1
Let g(k) = -20*k**3 + 3*k**2 + 4*k + 2. Let o be g(-2). Let s = o + -482/3. Factor 11/3*d - 2/3 + 7/3*d**3 - s*d**2.
(d - 1)**2*(7*d - 2)/3
Let d(b) = -31*b - 88. Let z be d(-3). Suppose 0 + 1/5*c**z + 1/5*c + 0*c**2 + 0*c**4 - 2/5*c**3 = 0. Calculate c.
-1, 0, 1
Factor 4608 - 32/3*d**3 + 2/9*d**4 - 1536*d + 192*d**2.
2*(d - 12)**4/9
Let -1/8*a**3 - 1/4 + 3/8*a**4 + 9/8*a - 9/8*a**2 = 0. Calculate a.
-2, 1/3, 1
Let k(v) be the second derivative of -v**5/210 + v**4/28 - 2*v**3/21 - 2*v**2 - 7*v. Let f(a) be the first derivative of k(a). Factor f(m).
-2*(m - 2)*(m - 1)/7
What is z in -5 - 2 + 24*z**2 - 2 - 15*z**2 + 12*z - 12*z**3 = 0?
-1, 3/4, 1
Let b(d) be the first derivative of 48*d**5/25 + 6*d**4/5 - 7*d**3/5 + 3*d**2/10 + 5. Let b(x) = 0. Calculate x.
-1, 0, 1/4
Let w(l) be the first derivative of l**4/4 + l - 4. Let f(q) = -4*q**3 - 3*q**2 + 2. Let x(s) = -f(s) + 2*w(s). Factor x(t).
3*t**2*(2*t + 1)
Let a(s) be the first derivative of -2*s**5/45 + s**4/18 + 2*s**3/27 - s**2/9 - 5. Factor a(r).
-2*r*(r - 1)**2*(r + 1)/9
Factor -2/13*y**2 - 6/13*y - 4/13.
-2*(y + 1)*(y + 2)/13
Suppose 0 = 2*w + 13 - 19. Determine c, given that -1/3*c**w + 2/3 - 5/3*c + 4/3*c**2 = 0.
1, 2
Let w(u) = -3*u**3 - 6*u**2 - 3*u - 4. Let q(d) = 5*d**3 + 11*d**2 + 6*d + 7. Let x(o) = -4*q(o) - 7*w(o). Let x(n) = 0. Calculate n.
-1, 0, 3
Let s(l) be the first derivative of l**7/210 - l**5/60 + l**2 + 3. Let u(q) be the second derivative of s(q). Factor u(t).
t**2*(t - 1)*(t + 1)
Let x(j) be the third derivative of -j**6/420 - j**5/210 - 27*j**2. Factor x(k).
-2*k**2*(k + 1)/7
Let r(h) be the first derivative of 8/3*h**3 - 1 + 0*h + 0*h**2 - 6/5*h**5 + 0*h**4 - 1/3*h**6. Let r(w) = 0. What is w?
-2, 0, 1
Let u(y) = 7*y**2 - 3*y + 4. Let n be u(3). What is d in -69*d - 100*d**4 - 182*d**3 + 252*d**2 - 116*d**4 + 24*d**4 + 6 - n*d**3 = 0?
-2, 1/4
Let q(o) be the first derivative of 2*o**6 - 39*o**5/5 + 33*o**4/4 - 2*o**3 - 10. Solve q(a) = 0.
0, 1/4, 1, 2
Let b = 513 - 5639/11. Let d = 1740/11 - 158. Determine s, given that -b*s**2 - 4/11*s**3 + 6/11*s**4 - d*s**5 - 2/11 + 6/11*s = 0.
-1, 1
Let l(r) be the third derivative of r**6/200 - 3*r**4/10 - 8*r**3/5 + 7*r**2. Determine a, given that l(a) = 0.
-2, 4
What is z in 0*z + 0 + 1/5*z**2 = 0?
0
Let g(z) = -3*z**2 - 2 + z + 1 + 2*z**2. Let d(j) = 12*j**2 - 10*j + 11. Let s = 2 - 24. Let t(b) = s*g(b) - 2*d(b). Solve t(c) = 0 for c.
-1, 0
Let f(z) be the third derivative of -1/24*z**4 - 1/60*z**5 + 0*z + z**2 + 0 + 0*z**3. Suppose f(b) = 0. What is b?
-1, 0
Let g = 4 + -4. Let k be (-7)/14*(-1 + g). Factor 1/2*q**3 - 1/2*q**2 - 1/2*q + k.
(q - 1)**2*(q + 1)/2
Let o(a) = -a + 6. Let s be o(6). Let v(k) be the first derivative of 4/3*k**3 + s*k + 2*k**5 + 2 + 0*k**2 + 7/2*k**4. Factor v(l).
2*l**2*(l + 1)*(5*l + 2)
Factor -2/5*c + 2/5*c**3 + 2/5*c**4 - 2/5*c**2 + 0.
2*c*(c - 1)*(c + 1)**2/5
Solve 2/9*y**2 - 2/9*y**4 - 2/9*y + 0 + 2/9*y**3 = 0.
-1, 0, 1
Find z, given that 0*z**4 + 0 + 2*z**3 + 0*z - 4/3*z**2 - 2/3*z**5 = 0.
-2, 0, 1
Let j(c) = 5*c - 21. Let i be j(9). Let x be (0 + 4)/(-10 + i). Determine u so that -2/7*u - 6/7*u**3 - x*u**4 - 6/7*u**2 + 0 = 0.
-1, 0
Let b(g) = 11*g**2 + 24*g + 5. Let m be b(-2). Find q such that -10*q - 117/4*q**2 + 49*q**4 - m - 35/4*q**3 = 0.
-2/7, -1/4, 1
Let h(f) be the third derivative of -1/6*f**4 + 0*f - 1/30*f**5 - 2*f**2 - 1/3*f**3 + 0. Factor h(o).
-2*(o + 1)**2
Let o(t) be the first derivative of -t**4/18 - 2*t**3 - 27*t**2 - 162*t + 13. Find d, given that o(d) = 0.
-9
Let w(q) be the first derivative of -q**4 + 3*q**3/2 + 3*q**2/2 - q + 3. Let u(d) be the first derivative of w(d). Suppose u(t) = 0. What is t?
-1/4, 1
Let w(q) be the third derivative of q**6/30 - 2*q**5/15 + q**4/6 + 11*q**2. Suppose w(u) = 0. What is u?
0, 1
Let v(x) = -9*x**2 + 3*x - 9. Let j(w) = -4*w**2 + w - 4. Suppose 5*g - 21 = 2*g. Let z(y) = g*j(y) - 3*v(y). Solve z(q) = 0.
-1
Let r(j) be the third derivative of j**5/150 + j**4/15 - 10*j**2. Let r(i) = 0. What is i?
-4, 0
Let j(m) be the second derivative of -m**6/300 + m**4/20 + 2*m**3/15 - 3*m**2 - 5*m. Let b(n) be the first derivative of j(n). Suppose b(g) = 0. What is g?
-1, 2
Let a(w) be the third derivative of -w**8/588 - 4*w**7/735 + w**6/70 + 4*w**5/105 - 2*w**4/21 + 9*w**2. What is b in a(b) = 0?
-2, 0, 1
Suppose -2*t + 3*t - 3 = 0. Let b be (-21)/6 + (7 - t). Find u, given that 1/2*u**4 + 0*u + 0 + 0*u**2 + b*u**3 = 0.
-1, 0
Let l be (-1)/(4/6) - 200/(-128). Let q(f) be the second derivative of f + 3/8*f**2 + 0*f**3 - l*f**4 + 0. Factor q(g).
-3*(g - 1)*(g + 1)/4
Let t(d) be the third derivative of -d**8/840 - d**7/175 - d**6/100 - d**5/150 - 9*d**2. Find i, given that t(i) = 0.
-1, 0
Let n(i) = -2*i + 6. Let d be n(2). Let b = 479/5 + -95. Factor 2/5*q**5 - 2/5*q + b*q**d + 0*q**3 + 0 - 4/5*q**4.
2*q*(q - 1)**3*(q + 1)/5
Let c(p) be the third derivative of -p**9/90720 + p**8/30240 - p**5/30 - 6*p**2. Let i(d) be the third derivative of c(d). Factor i(s).
-2*s**2*(s - 1)/3
Factor 0 - 1/2*v**2 + 1/4*v**3 + 0*v.
v**2*(v - 2)/4
Let p = 881/40 + -125/8. Let -48/5*v**2 + 6*v - 4/5 - p*v**3 = 0. Calculate v.
-2, 1/4
Let p be (-4 - (-4 + 0))*-1. Let k(h) be the second derivative of 1/7*h**3 + p - 1/42*h**4 + 3*h - 2/7*h**2. Solve k(v) = 0.
1, 2
Let i(b) be the third derivative of -b**7/420 - b**6/45 - b**5/15 - b**3/3 - b**2. Let m(c) be the first derivative of i(c). Factor m(s).
-2*s*(s + 2)**2
Factor -1/5 + 0*q + 1/5*q**2.
(q - 1)*(q + 1)/5
Let a(u) be the first derivative of 2*u**6 + 52*u**5/5 + 22*u**4 + 24*u**3 + 14*u**2 + 4*u - 7. Factor a(n).
4*(n + 1)**4*(3*n + 1)
Let k be (4/(-10))/((-1)/5). Suppose 0 = -k*j - 3 + 9. Determine w so that 0 - 4/5*w**2 + 0*w + 2/5*w**j = 0.
0, 2
Suppose -l + 0*l = -16. Let h(x) be the first derivative of 16*x + x**3 + x**2 + 1 - l*x. Factor h(p).
p*(3*p + 2)
Let a(v) be the first derivative of v**4/12 + 2*v**3/9 + v**2/6 + 5. Factor a(m).
m*(m + 1)**2/3
Suppose -51 = -5*q - 1. Let y be q/45 - (-38)/72. Factor y + 0*f**2 + 3/2*f - 3/4*f**4 - 3/2*f**3.
-3*(f - 1)*(f + 1)**3/4
Let v(m) = m. Let x be v(0). Let h(n) be the third derivative of -2*n**2 + x*n**4 - 1/90*n**5 + 0 + 0*n + 0*n**3. Suppose h(y) = 0. Calculate y.
0
Let k be (-18)/(-15) - 10/25. Factor 0 - k*v**3 + 2/5*v**4 + 2/5*v**2 + 0*v.
2*v**2*(v - 1)**2/5
Let p(y) = -3*y - 1. Let v(o) = 13*o + 5. Let s(x) = -9*p(x) - 2*v(x). Let f be s(5). Find h, given that 7/2*h**2 - 7/4*h**5 - h**3 - f*h**4 + 11/4*h + 1/2 = 0.
-1,