iven that 0 - 2/5*j**2 + 3/5*j**3 + 2/5*j**4 + 0*j = 0.
-2, 0, 1/2
Let k = -129 - -392/3. Factor -4/3*r**2 - k*r - 2/3 - 1/3*r**3.
-(r + 1)**2*(r + 2)/3
Let h(t) be the third derivative of -t**8/420 - 8*t**7/525 - t**6/30 - 2*t**5/75 - 7*t**2. Factor h(x).
-4*x**2*(x + 1)**2*(x + 2)/5
Suppose -g = g - 4. Let w(k) be the first derivative of -1 - 2*k**3 + 0 + 3 - g*k**2. Factor w(j).
-2*j*(3*j + 2)
Suppose -4/5*g**2 + 6/5*g + 4/5 = 0. Calculate g.
-1/2, 2
Suppose -37*z + 32*z = 0. Factor 0*q - 1/3*q**5 - q**3 + z + q**4 + 1/3*q**2.
-q**2*(q - 1)**3/3
Let g(j) be the third derivative of -j**5/20 - 3*j**4/8 - 2*j**2. Let g(v) = 0. What is v?
-3, 0
Let f(o) be the first derivative of -o**4/2 - 4*o**3/3 - o**2 - 11. Solve f(s) = 0 for s.
-1, 0
Suppose -4*y - 3*p + 245 = 0, 4*y = -4*p - 128 + 368. Let v be (-3)/1 - y/(-13). Factor -g**4 - v*g**5 + 1/4 + 5/2*g**3 - g + 1/4*g**2.
-(g + 1)**2*(2*g - 1)**3/4
Let j(z) be the second derivative of -z**6/360 - z**5/40 - z**4/12 + 5*z**3/6 - 5*z. Let s(o) be the second derivative of j(o). Find a, given that s(a) = 0.
-2, -1
Factor 6/7*s + 2/7*s**3 + 2/7 + 6/7*s**2.
2*(s + 1)**3/7
Let q be (-1 - 2)/((-9)/6). Let 13*r**q - 2*r + 14*r**3 - 23*r**2 - 2*r = 0. What is r?
-2/7, 0, 1
Let j(c) be the first derivative of c**6 - 8*c**5/5 + c**4/2 + 11. Factor j(r).
2*r**3*(r - 1)*(3*r - 1)
Determine w so that 1/3*w + 0 - 2/3*w**2 + 1/3*w**3 = 0.
0, 1
Let w(g) be the first derivative of 3 - 2*g**3 + 0*g - 2*g**2 - 1/2*g**4. Solve w(o) = 0 for o.
-2, -1, 0
Let f = 20 + -18. Let z(c) be the second derivative of 1/42*c**4 - 2*c + 1/105*c**6 + 0*c**3 + 0 + 0*c**f - 1/35*c**5. Factor z(p).
2*p**2*(p - 1)**2/7
Determine l, given that 200 + 3*l**2 + 40*l - 4*l**2 + 4*l**2 - l**2 = 0.
-10
Let f(j) = -8*j**4 + 0*j**5 - 2*j**5 - 2*j**3 - 3*j + 2*j**2 - 9*j. Let v(d) = d**3 + d**2 - d. Let q(a) = -f(a) + 10*v(a). Factor q(y).
2*y*(y + 1)**4
Factor 8/5*v**2 + 4/5 + 2/5*v**3 + 2*v.
2*(v + 1)**2*(v + 2)/5
Let j be 2/7*-1 - (-64)/126. Factor -2/9*a**5 + 0*a + 0 + 2/9*a**2 + 2/9*a**3 - j*a**4.
-2*a**2*(a - 1)*(a + 1)**2/9
Let q(l) be the third derivative of -l**5/150 + l**4/30 - l**3/15 - l**2. Find i, given that q(i) = 0.
1
Let r = 14 - 17. Let f be 30/75 + r/20. Solve 1/4 + 3/4*q**2 - 3/4*q - f*q**3 = 0 for q.
1
Let f be (-21)/(-9) + (-2)/6. Determine z, given that 0*z**3 + 2*z**3 - 2*z**3 + z**f - z**3 + 2*z = 0.
-1, 0, 2
Factor 2/3*g**3 + 0 - 2/9*g + 2/9*g**2 + 4/9*g**5 - 10/9*g**4.
2*g*(g - 1)**3*(2*g + 1)/9
Let d be 38/10 - (-1)/5. Let b = d + -2. Let -t**3 - t**2 + 2*t**b + 0*t**2 = 0. What is t?
0, 1
Let t = 34/13 + -55/26. Factor 1/2*k + t*k**3 + k**2 + 0.
k*(k + 1)**2/2
Let x(g) be the third derivative of -1/2*g**3 - g**2 + 0*g - 3/4*g**4 - 3/20*g**5 + 1/4*g**6 + 0. Factor x(o).
3*(o - 1)*(2*o + 1)*(5*o + 1)
Let m be ((-18)/(-7) - 2)/(42/49). Suppose 0*o**4 - 2/3*o**5 + 0 + 4/3*o**3 + 0*o**2 - m*o = 0. What is o?
-1, 0, 1
Let t = -2 + 22. Let w be 1/(5/t*2). Solve -1/3*k**3 + 0*k**w + 0 + 1/3*k = 0.
-1, 0, 1
Factor -9*s**3 + 0*s - 3/2*s**4 - 27/2*s**2 + 0.
-3*s**2*(s + 3)**2/2
Let v(s) be the second derivative of -s**5/20 - s**4/4 + 2*s**3/3 - 24*s. Factor v(j).
-j*(j - 1)*(j + 4)
Let o(z) be the first derivative of 3/8*z**4 - 6 - 3/4*z**2 + 3/20*z**5 - 3/4*z + 0*z**3. Factor o(k).
3*(k - 1)*(k + 1)**3/4
Let a(m) = 2*m**3 + m**2 - 5*m - 1. Let t(v) = -11 - v**2 - v - 16 + 26. Let w(u) = -2*a(u) + 2*t(u). Suppose w(n) = 0. What is n?
-2, 0, 1
Let f = 17 + 6. Let u = -21 + f. Let v**4 + 1 - u*v**2 + 1/2*v**5 + 1/2*v - v**3 = 0. Calculate v.
-2, -1, 1
Let u(z) be the second derivative of -z**8/13440 - z**7/1680 + z**5/60 + z**4/12 + 3*z. Let v(o) be the third derivative of u(o). Find f, given that v(f) = 0.
-2, 1
Let -3*c**2 + 3/2*c**3 + 3/2*c**4 - 3/4*c**5 + 3/2 - 3/4*c = 0. What is c?
-1, 1, 2
Let j be 1 - -2 - (-354)/(-15). Let w = j + 21. Solve 2/5*f + 0 - 4/5*f**2 + w*f**3 = 0.
0, 1
Let a(r) be the third derivative of 4*r**2 - 1/105*r**7 + 0*r**4 + 0*r**6 + 1/15*r**5 + 0*r + 0 - 1/3*r**3. Factor a(q).
-2*(q - 1)**2*(q + 1)**2
Suppose -20 = -3*t - 2. Let x(l) be the third derivative of 1/210*l**7 - 2*l**2 + 0*l + 0*l**3 + 1/24*l**4 + 1/20*l**5 + 0 + 1/40*l**t. Factor x(d).
d*(d + 1)**3
Let j be ((-12)/(-10))/((-3)/(-10)). Suppose -4*t + j = -4. Factor 4*o**2 - 2*o**t + 0*o**2.
2*o**2
Let h = 43 - 25. Let -36*w**2 - 18*w**3 - 11*w**3 - h*w**4 - 12*w - 3*w**5 - 10*w**3 = 0. Calculate w.
-2, -1, 0
Let x(g) = -7*g**3 + 19*g**2 + 13. Let y(u) = 3*u**3 - 9*u**2 - 6. Let w(j) = -6*x(j) - 13*y(j). Let w(s) = 0. Calculate s.
-1, 0
Let j(s) be the first derivative of -s**3 + 0*s**2 + 3/4*s**4 - 4 + 0*s. Find b such that j(b) = 0.
0, 1
Let n(v) = -v**3 + 15*v**2 - 24*v - 26. Let u be n(13). Determine a, given that 1/5*a**3 + 0 + 0*a + u*a**2 = 0.
0
Let i(v) be the third derivative of v**10/1058400 - v**8/141120 - v**5/15 - 3*v**2. Let w(l) be the third derivative of i(l). Determine m, given that w(m) = 0.
-1, 0, 1
Let p(t) = -3*t**2 + 17*t + 8. Let f be p(6). Suppose 2/3 + 4/3*l + 2/3*l**f = 0. What is l?
-1
Let n be 3*(69/9 + (-2 - 5)). Find y such that -2 - 13/2*y**n - 11/2*y**3 + 17/2*y**4 + 8*y - 5/2*y**5 = 0.
-1, 2/5, 1, 2
Suppose 3 + 5 = 4*n. Factor -4 - 2*o - n + 6*o + 4*o**2 - 2.
4*(o - 1)*(o + 2)
Let o be 8/12*-1*(-18)/4. Factor 3*u**2 + 0*u - 4*u**o - 1/4.
-(2*u - 1)**2*(4*u + 1)/4
Let i = 8 + -6. What is q in q**2 + q**2 - 9*q - q**2 - 8*q**i - 2 = 0?
-1, -2/7
Suppose -9 = -2*z - 3. Let p(f) = f + 9. Let d be p(-7). Find r such that 2*r**3 - r**z + 2*r**5 - r**d - r**5 - 2*r**5 + r**4 = 0.
-1, 0, 1
Let x = 19/77 + 2/11. Factor x*c**2 - 3/7*c + 0 - 3/7*c**4 + 3/7*c**3.
-3*c*(c - 1)**2*(c + 1)/7
Let j(o) = -4*o**2 + 32*o - 73. Let w(g) = 2*g**2 - 16*g + 36. Let x(c) = -4*j(c) - 9*w(c). Let x(v) = 0. What is v?
4
Factor 1/3*w**2 + 0 + w.
w*(w + 3)/3
Let u(k) = -3*k**4 + k**3 - 4*k**2 - 4*k. Let m(t) = 4*t**4 - t**3 + 5*t**2 + 5*t. Let w(q) = 4*m(q) + 5*u(q). Factor w(z).
z**3*(z + 1)
Suppose -12 + 8 = m. Let w be (m/(-2*2))/3. Let -1/3*k**2 + 0 - 2/3*k**3 + 0*k - w*k**4 = 0. Calculate k.
-1, 0
Factor 3 - 3*f**2 + f**2 - 4 - 2*f + f**2.
-(f + 1)**2
Let c be 3 - (6/(-3) - -3). Let m(y) = 2*y - 1. Let g be m(c). Factor 2*r**g + r**2 - 10 + r**4 + 10.
r**2*(r + 1)**2
Suppose 9*p - 9*p + 4*p**2 + 16 + 16*p = 0. Calculate p.
-2
Let g(s) = -11*s + 1. Let w be g(1). Let v = -39/4 - w. Factor 0 - v*i - 1/4*i**2.
-i*(i + 1)/4
Let x(l) be the third derivative of -l**5/90 + l**3/9 + 17*l**2. Determine z, given that x(z) = 0.
-1, 1
Let u(j) be the first derivative of -4*j**5 - 155*j**4/4 - 220*j**3/3 - 55*j**2/2 + 30*j - 36. Find i, given that u(i) = 0.
-6, -1, 1/4
Let r(z) be the third derivative of 0 + 1/48*z**5 + z**2 + 0*z - 1/12*z**4 - 1/480*z**6 + 1/6*z**3. Factor r(c).
-(c - 2)**2*(c - 1)/4
Suppose 3/2*p + 9/4*p**3 + 0 - 15/4*p**2 = 0. What is p?
0, 2/3, 1
Factor -3*c**2 + 35*c**2 - 9*c - c + 2*c - 14*c**3.
-2*c*(c - 2)*(7*c - 2)
Factor 1/2 + 1/4*u - 1/4*u**2.
-(u - 2)*(u + 1)/4
Let d(s) be the second derivative of 35/18*s**4 + 4/3*s**2 + 0 + s - 8/3*s**3. Solve d(g) = 0.
2/7, 2/5
Suppose 3*q**2 + 1/2 + 2*q + 1/2*q**4 + 2*q**3 = 0. What is q?
-1
Let n be (13 + -11)/(0 - -1). Let f(h) be the second derivative of 0 + 1/6*h**4 - 1/3*h**3 - h - 2*h**n. Solve f(g) = 0 for g.
-1, 2
Suppose 5*m = -0*m + 10. Let g(p) be the first derivative of 1 + 4/5*p**3 + 17/10*p**4 - 4*p**m + 2/5*p**5 - 16/5*p. Suppose g(u) = 0. What is u?
-2, -2/5, 1
Let j(x) be the third derivative of -x**5/80 - x**4/8 - x**3/2 - x**2. Factor j(b).
-3*(b + 2)**2/4
Let p(n) be the first derivative of -n**5/90 - n**4/9 - 4*n**3/9 - n**2 + 1. Let y(u) be the second derivative of p(u). Factor y(h).
-2*(h + 2)**2/3
Let k(s) = -s**3 - s + 2. Let r be k(0). Let o = r - -1. Factor 6*x**2 + 3 - o - 7*x**2.
-x**2
Let p(m) be the first derivative of -4*m**4 + 2 + 8*m**3 + 2*m + 15/2*m**2. Factor p(s).
-(s - 2)*(4*s + 1)**2
Determine u, given that 138/17*u**3 + 8/17*u + 0 - 140/17*u**4 - 56/17*u**2 + 50/17*u**5 = 0.
0, 2/5, 1
Let s(p) be the third derivative of -1/210*p**6 + 1/42*p**4 + 0*p**3 + 0*p**5 + 0*p + p**2 + 0. Factor s(n).
-4*n*(n - 1)*(n + 1)/7
Let y(p) be the first derivative of p**6/16 + p**5/4 + 3*p**4/8 + p**3/4 + p**2/16 + 5. Determine f so that y(f) = 0.
-1, 