0*p**2 - 10*p**2 + 6*p = 0.
0, 2/9
Suppose -99*m**4 - 15*m**5 - 114*m**3 - 22*m**2 - 39*m - 6 - 8*m**2 + 33*m**4 - 66*m**2 = 0. Calculate m.
-1, -2/5
Let v = 919/4760 + 67/136. Let t(o) be the first derivative of -3/14*o**4 - 2 + 0*o**2 - 4/21*o**3 - 1/3*o**6 + 0*o + v*o**5. Suppose t(k) = 0. Calculate k.
-2/7, 0, 1
Let j(v) be the third derivative of v**10/30240 + v**9/15120 + v**4/24 - v**2. Let k(q) be the second derivative of j(q). Factor k(a).
a**4*(a + 1)
Let k = 150 - 299/2. Let g(x) be the second derivative of -1/12*x**4 - 2*x + 0 - 1/3*x**3 - k*x**2. Factor g(v).
-(v + 1)**2
Let j = 232695873/500 - 465391. Let i = j + 1/250. Determine h, given that 0 + 1/2*h**2 - 1/2*h**4 - 3/4*h**5 + 0*h + i*h**3 = 0.
-1, -2/3, 0, 1
Let h = 174/7 - 22. Let k = 308 + -306. Let -4/7*i - 18/7*i**k - 6/7*i**4 - h*i**3 + 0 = 0. Calculate i.
-2, -1, -1/3, 0
Let l = -8477/20 + 424. Let z = l + 247/220. Determine m so that -36/11*m**2 - z*m - 10/11*m**3 + 12/11 = 0.
-3, -1, 2/5
Suppose -4*d - 20 = -8*d. Let a(v) be the first derivative of 3/4*v**4 + 1/4*v**d + 3/4*v**3 + 0*v + 1 + 1/4*v**2. Factor a(s).
s*(s + 1)**2*(5*s + 2)/4
Suppose 5*t = 3*t + 4. Let b(x) be the third derivative of -2*x**t + 0*x**5 + 0*x + 1/42*x**4 + 0 - 1/21*x**3 + 1/735*x**7 - 1/210*x**6. Factor b(o).
2*(o - 1)**3*(o + 1)/7
Suppose o + 16 = 5*o. What is q in -6 - 12*q**2 - 11*q + 8*q**3 - 11*q**3 - o*q = 0?
-2, -1
Let m(u) be the second derivative of -u**8/1176 - 5*u**2/2 - u. Let f(c) be the first derivative of m(c). Determine d, given that f(d) = 0.
0
Let d(u) be the third derivative of -u**7/490 + u**6/280 + u**5/140 - u**4/56 - 3*u**2. Factor d(v).
-3*v*(v - 1)**2*(v + 1)/7
Let s(z) be the third derivative of -z**5/30 - 7*z**4/10 - 16*z**3/15 - 49*z**2. Solve s(g) = 0 for g.
-8, -2/5
Let l(u) = -2*u**2 - 16*u + 54. Let j(t) = -t**2 + t + 1. Let w(d) = -4*j(d) + l(d). Factor w(i).
2*(i - 5)**2
Let p(x) be the first derivative of -2*x**6/9 - 2*x**5/3 + 10*x**3/9 + 2*x**2/3 + 11. Determine f, given that p(f) = 0.
-2, -1, -1/2, 0, 1
Let f(r) = -3*r**4 - 3*r**3 + 3*r**2 - 5*r. Let x(s) = 4*s**4 + 4*s**3 - 4*s**2 + 6*s. Let i(y) = -5*f(y) - 4*x(y). Factor i(c).
-c*(c - 1)*(c + 1)**2
Factor 5*g**3 - 4 + 10 - 10*g**2 - 2*g - 3*g + 4.
5*(g - 2)*(g - 1)*(g + 1)
Let p(a) be the second derivative of a**7/210 - a**5/60 - 11*a**2/2 - 9*a. Let t(c) be the first derivative of p(c). Factor t(m).
m**2*(m - 1)*(m + 1)
Let j(u) be the third derivative of -9*u**6/140 + 9*u**5/70 - 3*u**4/28 + u**3/21 + 2*u**2. Factor j(q).
-2*(3*q - 1)**3/7
Let d(u) be the first derivative of -u**6/120 - u**5/60 + u**4/24 + u**3/6 + 2*u**2 - 4. Let w(n) be the second derivative of d(n). Factor w(g).
-(g - 1)*(g + 1)**2
Suppose 0 = 5*c - 2*s - 15, 0*c + 5*s = c - 3. Factor 4*b**2 - 3*b**5 + c*b**3 - 4*b**2 + 0*b**3.
-3*b**3*(b - 1)*(b + 1)
Suppose 9 = 4*r - 3. Factor -5 + 3 - 3*v + 3*v**2 + 3*v**r - 1.
3*(v - 1)*(v + 1)**2
Let u(j) be the second derivative of 4/21*j**4 + 1/3*j**3 - 2*j + 0 + 1/7*j**2 - 8/35*j**5. Factor u(c).
-2*(c - 1)*(4*c + 1)**2/7
Let o be -1 + 3*5/3. Suppose 0 = -o*y + f - 5, -4*f - 1 = 5*y - 21. Determine m, given that -m**3 - 2/3*m**2 + y + 0*m = 0.
-2/3, 0
Suppose -2*f = 4*z, z + 27 = 4*f - 0. Let k = f - 3. Solve 0 + 0*j - 2/7*j**2 + 4/7*j**k = 0 for j.
0, 1/2
Let z(b) = -3*b**2 + 2*b. Let g(w) = 4*w**2 - 2*w. Suppose 0 = -4*h - 29 + 5. Suppose 2*p + 14 = j, 6 + 0 = 2*p + 4*j. Let x(s) = h*z(s) + p*g(s). Factor x(y).
-2*y*(y + 1)
Let l(w) = 6*w**2 + 3*w + 1. Suppose 3*a + u = a - 7, 35 = -4*a + 5*u. Let b(d) = -7*d**2 - 4*d - 1. Let q(c) = a*b(c) - 6*l(c). Factor q(t).
-(t - 1)**2
Suppose 0 - 2/11*m**3 + 0*m**2 + 2/11*m**4 + 0*m = 0. What is m?
0, 1
Let a(z) be the second derivative of -z**6/60 + z**5/40 - 25*z. Suppose a(n) = 0. What is n?
0, 1
Let w(t) be the second derivative of -t**4/60 - t**3/5 - 22*t. Factor w(x).
-x*(x + 6)/5
Let g(f) be the first derivative of -f**6/12 + f**5 - 31*f**4/8 + 11*f**3/3 + 8*f**2 - 16*f - 20. Suppose g(p) = 0. Calculate p.
-1, 1, 2, 4
Let o be (-42)/14 + ((-23)/7)/(-1). Find a such that 2/7*a**3 - 2/7*a - o + 2/7*a**2 = 0.
-1, 1
Let o be 1*-1*5/125*-5. What is i in 8/5*i**3 + 0 - i**4 - o*i**2 - 2/5*i = 0?
-2/5, 0, 1
Let u(j) = -j + 25. Let a be u(22). Let i(p) be the third derivative of 0*p + 0 - p**2 + 0*p**5 + 0*p**a - 1/480*p**6 + 0*p**4. Solve i(m) = 0 for m.
0
Let t = 5 - 2. Solve -3*c**2 + 3*c - 6*c - 1 - 2*c**2 + t = 0 for c.
-1, 2/5
Let r = 11 - 8. Suppose -r*d = -0*d. Factor d - u**2 + 1/3*u.
-u*(3*u - 1)/3
Let 0 + 36/7*x**4 + 9/7*x**3 + 0*x - 6/7*x**2 + 3*x**5 = 0. Calculate x.
-1, 0, 2/7
Suppose 5*d + 3 - 16 = -2*w, -10 = -2*d + 4*w. What is q in -4 + 56*q**5 + q - 27*q - 82*q**2 - 22*q**d - 14*q + 6*q + 86*q**4 = 0?
-1, -2/7, -1/4, 1
Suppose 2*l + 4*m + 10 = 0, -l - 5*m - 15 = 4*l. Let z(s) = s**4 - 2*s**3 + 2*s - 6. Let h(g) = -1. Let v(w) = l*z(w) + 5*h(w). Factor v(j).
-(j - 1)**3*(j + 1)
Suppose 3*j + n = 3, -3*j + 2*j + n = -5. Suppose -8 = -j*k - 2*k. Suppose -1/3*x**k - 1/3*x + 0 = 0. What is x?
-1, 0
Let f(x) = -7*x**3 - 10*x**2 + 6*x - 2. Let w(j) = 8*j + 17*j + 3 - 29*j**3 - 41*j**2 - 12. Let h(q) = 9*f(q) - 2*w(q). Solve h(m) = 0 for m.
-2, 0, 2/5
Let a(q) be the third derivative of 0 + 3/100*q**5 + 0*q + 3/40*q**4 + 1/200*q**6 + 1/10*q**3 - q**2. Factor a(v).
3*(v + 1)**3/5
Let j(n) be the third derivative of -n**5/150 - 2*n**4/15 - 7*n**3/15 + 25*n**2. Factor j(y).
-2*(y + 1)*(y + 7)/5
Let r(a) = a + 3. Let v be r(-1). Let y(s) be the first derivative of 0*s + 0*s**v + 1/12*s**6 - 1/8*s**4 + 1/10*s**5 - 1/6*s**3 - 3. Factor y(w).
w**2*(w - 1)*(w + 1)**2/2
Let l(n) be the first derivative of n**3/15 + n**2/10 + 17. Determine j, given that l(j) = 0.
-1, 0
Let v(q) be the first derivative of -q**7/14 + q**6/5 - 3*q**5/20 + 4*q + 2. Let a(u) be the first derivative of v(u). Factor a(l).
-3*l**3*(l - 1)**2
Suppose 14 = 3*q - 1. Solve 2*b**5 - 5*b**2 + 1 + 2*b**2 + 2*b**q - 15*b**4 + 20*b**3 - 7*b**2 = 0 for b.
-1/4, 1
Determine t, given that 0 + 4/3*t**3 - 8/3*t + 4/3*t**2 = 0.
-2, 0, 1
Let x(b) be the second derivative of 0*b**2 - 3/4*b**4 + 1/2*b**3 + 0 - b. Solve x(o) = 0 for o.
0, 1/3
Let m(g) be the first derivative of g**4/34 - 2*g**3/51 - g**2/17 + 2*g/17 + 13. Factor m(o).
2*(o - 1)**2*(o + 1)/17
Let x = -57 + 83. What is v in 3*v**3 + 24 + x*v + 12*v**3 + 6*v**2 + 60*v**2 + 58*v = 0?
-2, -2/5
Find q, given that -10*q - 5*q**2 + 15*q**2 - 12*q**2 = 0.
-5, 0
What is i in -i + i**2 - 5*i**2 + 25 - 15*i - 5 = 0?
-5, 1
Let o(q) be the third derivative of q**5/300 - q**4/120 - q**3/5 + q**2 + 30*q. Determine i so that o(i) = 0.
-2, 3
Let t(w) be the third derivative of w**8/6720 - w**7/280 + 3*w**6/80 - 9*w**5/40 - w**4/3 + 3*w**2. Let l(c) be the second derivative of t(c). Factor l(j).
(j - 3)**3
Let v(b) be the third derivative of b**11/1496880 - b**9/272160 + b**5/20 + 2*b**2. Let q(u) be the third derivative of v(u). Factor q(j).
2*j**3*(j - 1)*(j + 1)/9
Suppose f - 8 = -4*n - f, n = -f + 2. Factor 6*h**2 + 4*h**2 + 3*h**5 - 8*h**5 - n + 4*h**3 - 8*h**4 + h.
-(h - 1)*(h + 1)**3*(5*h - 2)
Suppose 4 = -3*p - 2. Let l = 6 + p. Factor -l*x**2 + 6*x**3 + 2/3*x + 0.
2*x*(3*x - 1)**2/3
Let c = -75 - -901/12. Let l(r) be the third derivative of 0*r**3 + 0*r + 1/30*r**5 - c*r**4 + 0 - 2*r**2. Factor l(k).
2*k*(k - 1)
Factor 0*x + 0 - 1/4*x**2.
-x**2/4
Let i be (-854)/21 + (-2)/(-3). Let a = 81/2 + i. Solve -a*z**2 + 2*z - 2 = 0 for z.
2
Let x(b) be the first derivative of 5*b**5 + 5*b**4/2 - 25*b**3/3 - 5*b**2 + 13. Suppose x(f) = 0. Calculate f.
-1, -2/5, 0, 1
Suppose -21/5*i**2 + 147/5*i + 1/5*i**3 - 343/5 = 0. What is i?
7
Let j be (-12)/(-14) - (-6)/42. Let a be ((-1)/j)/((-40)/16). Factor 2/5 + 2/5*l - a*l**2 - 2/5*l**3.
-2*(l - 1)*(l + 1)**2/5
Suppose 3*a - 3*m = 3, -25 = a - 5*m - 30. Let a - 343/4*s**5 - 2*s**2 - 21*s**3 + 0*s - 147/2*s**4 = 0. Calculate s.
-2/7, 0
Let z(u) be the third derivative of -7*u**5/390 - u**4/78 + 16*u**2. Determine i, given that z(i) = 0.
-2/7, 0
Let b(d) = -d**2 + 4*d + 3. Let g be b(4). Suppose g*u - 23 = -4*m, -u = 3*m + 2*u - 21. Factor -5*t**2 + 2*t**2 - 2*t - m*t**2 + 3*t**2.
-2*t*(t + 1)
Let w(p) = -2 + 0 + p + 0. Let k be w(5). Let 0*q**k + 0*q**3 - 2*q**3 = 0. What is q?
0
Find o such that