 1/2*d**3 + 0*d + 0*d**2 = 0.
0, 2
Let o(k) be the first derivative of -k**4/3 + 5*k**3/9 + 7*k**2/6 - 2*k/3 + 16. Solve o(u) = 0 for u.
-1, 1/4, 2
Factor 0 - 2/15*y + 0*y**2 + 2/15*y**3.
2*y*(y - 1)*(y + 1)/15
Let z(n) = -5*n**2 + 4*n + 2. Let m(d) = 11*d**2 - 7*d - 5. Let c(p) = -2*m(p) - 5*z(p). Suppose c(u) = 0. Calculate u.
0, 2
Let s(i) be the first derivative of i**8/1680 - i**7/252 + i**6/120 - i**5/180 - i**3/3 - 3. Let r(a) be the third derivative of s(a). Factor r(z).
z*(z - 2)*(z - 1)*(3*z - 1)/3
Let i(m) be the third derivative of -m**5/300 + m**4/15 - 7*m**3/30 - 2*m**2 - 8. What is w in i(w) = 0?
1, 7
Suppose 4*q - 88 = -0*q. Suppose -q*i + 18*i + 8 = 0. Factor 8/3*z**3 + 0 + 2/3*z**4 + 10/3*z**i + 4/3*z.
2*z*(z + 1)**2*(z + 2)/3
Let g = -16 + 20. Factor 7*p**4 + 4*p**g + 58*p**4 - 60*p**2 + 96*p**3 + 8*p - 5*p**4.
4*p*(p + 2)*(4*p - 1)**2
Let u(g) be the third derivative of g**6/60 + g**5/10 + g**4/6 - 9*g**2. Find s, given that u(s) = 0.
-2, -1, 0
Let k(l) = -l**4 + 4*l**3 + 3*l**2 - 2*l - 2. Let u(j) = -j**4 + j**3 + j**2 - j - 1. Let b(n) = 3*k(n) - 6*u(n). Factor b(f).
3*f**2*(f + 1)**2
Factor -23*o**2 - 5*o**2 - 12*o - 18*o - 68*o - 2*o**3.
-2*o*(o + 7)**2
Let m(d) = -2*d + 6. Let l be m(-5). Suppose 0 = 7*j - 3*j - l. Factor -1 - 3*x**j + 0 + 7*x**3 - 3*x + 3 - 3*x**2.
-(x - 1)**3*(3*x + 2)
Let q be (-217)/(-147) - 3/9. Factor -8/7*l**3 - q*l + 2/7*l**4 + 12/7*l**2 + 2/7.
2*(l - 1)**4/7
Let f be 3*(-4)/150*-5. Let l be (-40)/(-18) - (-6)/(-27). Let -f*x**l - 8/5*x**3 + 8/5*x + 2/5 = 0. What is x?
-1, -1/4, 1
Let d(h) be the first derivative of 0*h - 7 - 1/20*h**4 - 2/15*h**3 + 0*h**2. Suppose d(p) = 0. What is p?
-2, 0
Let g(a) be the first derivative of -a**9/4536 - a**8/1512 - a**7/1890 - 2*a**3/3 - 1. Let o(n) be the third derivative of g(n). Let o(c) = 0. What is c?
-1, -2/3, 0
Let m = 0 - -4. Factor -l**m - l**4 + l**2 + l**2.
-2*l**2*(l - 1)*(l + 1)
Let q(d) be the first derivative of -d**3/3 + 5*d**2/2 - 4*d + 1. Suppose q(w) = 0. What is w?
1, 4
Let n be ((-6)/(-9))/(4/18). Let k(x) be the third derivative of 0 + 1/6*x**n + 0*x + 1/12*x**4 + x**2 + 1/60*x**5. Factor k(c).
(c + 1)**2
Let r = 483/2 + -237. Solve -3/2*x**3 - r*x - 9/2*x**2 - 3/2 = 0 for x.
-1
Suppose 2*l - 11 = -3. Find m, given that 2*m**3 + 2*m**2 + 3*m - 6*m**4 + 0*m**4 + l*m**4 - 5*m = 0.
-1, 0, 1
Let z = -44 - -140/3. Factor z - 8/3*c + 2/3*c**2.
2*(c - 2)**2/3
Suppose 0 = 2*y - 4*x - 6, 2*y + 3*x + 7 = 6*y. Suppose 2*k**3 + 2*k**4 - 6*k**3 - 3 + 10*k + y - 6*k = 0. Calculate k.
-1, 1
Let l(x) = -5*x**2 - 12*x - 7. Let n(w) = -6*w**2 - 12*w - 6. Let v(q) = -4*l(q) + 3*n(q). Find d, given that v(d) = 0.
-5, -1
Let a(h) be the first derivative of h**8/3360 - h**7/420 + h**6/144 - h**5/120 - h**3 + 1. Let r(t) be the third derivative of a(t). Factor r(x).
x*(x - 2)*(x - 1)**2/2
Let q(x) be the first derivative of -x**5/20 - x**4/8 - 9. Factor q(h).
-h**3*(h + 2)/4
Let q(x) be the first derivative of x**3/3 - x**2 + x + 3. Factor q(z).
(z - 1)**2
Find n, given that -n**4 + 0 + 1/5*n**3 - 3/5*n**5 + n**2 + 2/5*n = 0.
-1, -2/3, 0, 1
Let k(y) be the first derivative of 0*y + 0*y**2 + 0*y**3 + 1/27*y**6 - 2 + 0*y**4 - 2/45*y**5. Factor k(o).
2*o**4*(o - 1)/9
Let f = 1897/4 - 474. Factor -1/2 + 1/4*z**2 + f*z**4 - 3/4*z**3 + 3/4*z.
(z - 2)*(z - 1)**2*(z + 1)/4
Let y(c) be the second derivative of -c**6/30 - c**5/20 + c**4/12 + c**3/6 + 3*c. Solve y(v) = 0.
-1, 0, 1
Factor 0*h**2 + 1/6*h**4 + 0 + 0*h**3 + 1/6*h**5 + 0*h.
h**4*(h + 1)/6
Let b(j) be the second derivative of -j**6/1260 - j**5/140 - j**4/42 + 5*j**3/6 + 6*j. Let l(w) be the second derivative of b(w). Suppose l(s) = 0. Calculate s.
-2, -1
Let g(k) = k**3 - 6*k**2 - 25*k - 18. Let c be g(9). Factor -16/15*i + 4/5*i**2 + c*i**3 + 2/5 - 2/15*i**4.
-2*(i - 1)**3*(i + 3)/15
Let p(u) be the first derivative of u**2/2 - u - 7. Let w be p(3). What is l in -2/3*l**2 - w*l**3 + 16/3*l - 8/3 = 0?
-2, 2/3, 1
Let z = -590/261 - -72/29. Factor 0*d + 2/9*d**2 - z.
2*(d - 1)*(d + 1)/9
Let v(r) = r + 1. Let a(t) = -6*t - 1. Let f(o) = -a(o) - 4*v(o). Let g be f(4). Factor 4*h**2 + 2*h**5 + 3*h - g*h + 0*h - 4*h**4.
2*h*(h - 1)**3*(h + 1)
Let h(m) = -m - 1. Let w be h(-5). Suppose w*n + 0 = 12. Suppose 2*v**n + 10*v + 0*v**3 - 12*v**4 + 32*v**2 + 12*v + 4 = 0. What is v?
-1, -1/2, -1/3, 2
Let f(h) be the first derivative of h**7/315 + h**6/75 + h**5/50 + h**4/90 - h - 6. Let u(j) be the first derivative of f(j). Factor u(l).
2*l**2*(l + 1)**3/15
What is q in 7 + 10 + 21*q - 3*q**3 - 6 + 7 = 0?
-2, -1, 3
Let o(i) be the second derivative of i**5/120 - i**4/24 - 2*i**2 + i. Let y(u) be the first derivative of o(u). Determine q, given that y(q) = 0.
0, 2
Let s be (-3)/(-4)*(4 - 8). Let r be (-75)/5*1/s. Factor 4 - 4*v**2 + v + v + 3*v**3 - r*v**3.
-2*(v - 1)*(v + 1)*(v + 2)
Let t = 46 - 32. Factor -2*n - t*n**2 + 24*n**2 - 9*n**2.
n*(n - 2)
Let c(v) be the second derivative of -v**6/6 + v**5 - 5*v**4/2 + 10*v**3/3 - 5*v**2/2 - 32*v. Factor c(a).
-5*(a - 1)**4
Let y(s) = -s + 7. Let i be y(5). Let t = i - 0. Factor 4*p**3 + 10*p**4 - t - 3*p - 8*p**4 - p.
2*(p - 1)*(p + 1)**3
Let -21/2*p**4 + 9/2*p - 29/2*p**3 - 1 + 3/2*p**2 = 0. Calculate p.
-1, 2/7, 1/3
Let s be (-5 - -6) + (-19)/21. Let t(y) be the second derivative of -1/35*y**5 + 1/21*y**3 - y + 0*y**2 + 3/49*y**7 - s*y**4 + 4/35*y**6 + 0. Factor t(b).
2*b*(b + 1)**2*(3*b - 1)**2/7
Let q(c) be the third derivative of -c**8/672 + c**6/240 - 5*c**2. Suppose q(l) = 0. Calculate l.
-1, 0, 1
Let r(d) be the third derivative of -1/70*d**5 + 0*d + 0 - 2/21*d**3 - d**2 - 5/84*d**4. Factor r(j).
-2*(j + 1)*(3*j + 2)/7
Let t(y) be the first derivative of 14*y**5/5 - y**4 - 1. Suppose t(l) = 0. What is l?
0, 2/7
Suppose -4*a + 2 = -10. Suppose -a*f - o = -11, 2*f + 5*o = f + 13. Factor 2/5*z - 2/5*z**f + 2/5*z**2 - 2/5.
-2*(z - 1)**2*(z + 1)/5
Let b(p) = p**3 + p**2 - p + 1. Let v(k) = k**3 - 5*k**2 - 3*k - 3. Let u(o) = 3*b(o) + v(o). Factor u(q).
2*q*(q + 1)*(2*q - 3)
Let w(n) be the first derivative of 3*n**5/25 + 3*n**4/20 - 6*n**3/5 - 6*n**2/5 + 24*n/5 + 13. Suppose w(v) = 0. Calculate v.
-2, 1, 2
Let q(m) be the first derivative of m**6/45 - 4*m**5/75 + 4*m**3/45 - m**2/15 + 7. Let q(g) = 0. What is g?
-1, 0, 1
Let o = 4 + 1. Determine j so that -3*j**o - 13*j**4 + 16*j**4 + 3*j**3 - 2*j**2 - 3*j**2 + 2*j**2 = 0.
-1, 0, 1
Let b(f) be the second derivative of 2/3*f**3 - 1/5*f**5 - 2/15*f**6 + 1/3*f**4 + 0 + 4*f + 0*f**2. Factor b(z).
-4*z*(z - 1)*(z + 1)**2
Determine y, given that 8 + 14*y**2 - 8*y**2 + y**3 + 5*y + y + 6*y = 0.
-2
Let k = 377 + -728. Let p be 2/6 - (-63)/k. Factor p*o + 0 - 2/13*o**2.
-2*o*(o - 1)/13
Suppose 0 - 8/9*u - 4/9*u**2 = 0. What is u?
-2, 0
Let o(q) be the first derivative of q**6/2 + 8*q**5/5 + 13*q**4/12 + 2*q**3/9 - 8. Solve o(d) = 0.
-2, -1/3, 0
Let o = 5 - -7. Suppose 3*c - 4*c - 1 = 0, -5*x - 3*c = -o. Let -8/3*k - 1/3*k**x + 5/3*k**2 + 4/3 = 0. What is k?
1, 2
Let b(k) be the third derivative of 4*k**8/21 - 16*k**7/35 - k**6/2 + 29*k**5/15 + k**4/2 - 6*k**3 + k**2. Factor b(c).
4*(c - 1)**3*(4*c + 3)**2
Let m(g) be the third derivative of g**5/15 - g**4 + 10*g**3/3 - 18*g**2 - g. Factor m(c).
4*(c - 5)*(c - 1)
Let f(y) = -y**4 + y**3 - 2*y**2 + 7. Let h(k) = k**4 - k**3 + k**2 + k - 6. Let v(z) = -4*f(z) - 5*h(z). Factor v(o).
-(o - 1)**3*(o + 2)
Let o be 17/51 - (-1 - 2/12). Factor 3*z**2 - o*z**3 + 0 - 3/2*z.
-3*z*(z - 1)**2/2
Let s(d) be the second derivative of -d**5/80 + 7*d**4/48 - 2*d**3/3 + 3*d**2/2 - 15*d. What is r in s(r) = 0?
2, 3
Let d(t) = t**2 + 6*t - 9. Let v be d(-9). Suppose -5 - 9*w - v*w**2 + 21*w + 12*w**3 + 2 - 3*w**4 = 0. What is w?
1
Let g(h) = 3*h**4 + 11*h**3 - 7*h**2 - 7*h + 7. Let w(k) = 2*k**4 + 10*k**3 - 6*k**2 - 6*k + 6. Let a(u) = 6*g(u) - 7*w(u). Let a(x) = 0. Calculate x.
0, 1
Suppose 0 = -2*g - 5*h - 4 - 2, -4*g - 3*h = -2. Let d be (2 + -1)*(0 + 3/1). Suppose -10*t - d*t**2 + 2*t**4 + t**g + 10*t = 0. Calculate t.
-1, 0, 1
Let s be ((-7)/(-189)*9)/((-10)/(-6)). Factor 1/5*j**2 + 0*j - s.
(j - 1)*(j + 1)/5
Suppose 2*z = -4*z + 36. Factor -2*h**2 + 21*h + 12 + z*h**2 - 5*h.
4*(h + 1)*(h + 3)
Let g(t) be the third derivative of -2*t**7/735 + t**6/210 + t**5/105 - t**4/42 - 20*t**2. Suppose g(f)