+ 4/7*v + 6/7*v**2 = 0.
-1
Let m(h) = h**3 - 2*h**2 + 2*h + 1. Let p be m(2). Let x(k) be the second derivative of 1/6*k**4 + 0 + 0*k**3 + 1/15*k**6 + 1/5*k**p + 0*k**2 - k. Factor x(r).
2*r**2*(r + 1)**2
Let i(r) be the first derivative of -3/2*r + 6 + 7/4*r**2 - 2/3*r**3. Factor i(a).
-(a - 1)*(4*a - 3)/2
Let v(n) be the third derivative of n**9/100800 + n**5/20 - n**2. Let w(z) be the third derivative of v(z). Determine p so that w(p) = 0.
0
Let d be (-80)/15*4/(-84). Let i = d - -2/63. Solve 0 - 2/7*f + 2/7*f**3 + i*f**4 - 2/7*f**2 = 0 for f.
-1, 0, 1
Factor -11*s - 3*s + s - 6 - 4*s**2 + 3*s**3.
(s - 3)*(s + 1)*(3*s + 2)
Let m(a) be the third derivative of -1/300*a**6 + 0*a**4 + a**2 + 0 + 0*a - 1/75*a**5 + 0*a**3. Let m(x) = 0. Calculate x.
-2, 0
Suppose 13*x - 17*x = -8. Let w(d) be the first derivative of 3/4*d**x - 5/4*d**3 + 0*d + 3 - 21/16*d**4. Solve w(a) = 0 for a.
-1, 0, 2/7
Let l(x) be the second derivative of -x - 1/10*x**6 + 0 - 1/4*x**4 + 3/10*x**5 + 0*x**3 + 0*x**2. Factor l(b).
-3*b**2*(b - 1)**2
Factor 2 - 9/2*x + x**2.
(x - 4)*(2*x - 1)/2
Let i(o) be the first derivative of o**3 - 3*o**2/2 + 7. Determine v so that i(v) = 0.
0, 1
Let y(b) be the first derivative of b**4/4 + b**3/3 - 5*b**2/2 + 3*b + 3. Determine m so that y(m) = 0.
-3, 1
Let q be -8 + 6 + (-88)/(-42). Let j(u) be the first derivative of q*u**3 + 2 - 1/7*u**2 - 4/7*u. Factor j(r).
2*(r - 2)*(r + 1)/7
Let b(g) be the third derivative of g**5/20 + 3*g**4/8 + 4*g**2. Factor b(s).
3*s*(s + 3)
Let h(c) = -c**2 + 1. Let m be 1/(-3) - 4/6. Let b(g) be the second derivative of 5*g**4/4 - 2*g**3 - 15*g**2 - 4*g. Let i(f) = m*b(f) - 18*h(f). Factor i(y).
3*(y + 2)**2
Let v(l) = l**4 + 17*l**3 - 12*l**2 + 9*l. Let k(r) = 8*r**3 - 6*r**2 + 4*r. Let f be (-8)/10*30/(-12). Let p(x) = f*v(x) - 5*k(x). Factor p(h).
2*h*(h - 1)**3
Let b(h) be the first derivative of 0*h**2 + 2 + 1/16*h**6 + 0*h + 0*h**4 - 1/2*h**3 + 9/40*h**5. Factor b(z).
3*z**2*(z - 1)*(z + 2)**2/8
Let j(m) = m**2 - 10*m. Let s be j(10). Let a(f) be the first derivative of 1/8*f**4 + 1/4*f - 1/20*f**5 - 3 + s*f**3 - 1/4*f**2. Suppose a(v) = 0. Calculate v.
-1, 1
Suppose 12 = 4*y, -3*y + 5 + 0 = -2*t. Find p such that 8*p**3 - 6 - 3*p**3 + 3*p + 15*p**2 - 6*p**3 - t*p**3 - 9*p**4 = 0.
-1, 2/3, 1
Let o(d) be the first derivative of 4913*d**4/12 - 578*d**3/3 + 34*d**2 - 8*d/3 - 4. Let o(q) = 0. Calculate q.
2/17
Determine l, given that 21/5*l**3 - 18/5*l**5 - 3/5*l**4 + 3/5*l**2 + 0 - 3/5*l = 0.
-1, -1/2, 0, 1/3, 1
Let w(r) be the first derivative of 2*r**3/21 + r**2/7 + 9. Factor w(g).
2*g*(g + 1)/7
Let w(z) = 6*z**2 + 3*z**2 - 5*z**4 - 2*z + 3*z + 0 - 3. Let o(f) = f**4 - f**2 + f + 1. Let b(i) = 3*o(i) + w(i). Factor b(l).
-2*l*(l - 2)*(l + 1)**2
Let s be (-2)/9 - (-8)/9. Let a = -220/3 - -74. Suppose 4/3*w**2 + 0*w - a*w**5 - 4/3*w**4 + s*w**3 + 0 = 0. Calculate w.
-2, -1, 0, 1
Let d = -1865/7 + 267. Factor 4/7*s**2 + 0 - d*s**4 + 2/7*s + 0*s**3 - 2/7*s**5.
-2*s*(s - 1)*(s + 1)**3/7
Let n(t) be the second derivative of -t**5/8 + t**4/8 + t**3/6 - 19*t. Let n(y) = 0. What is y?
-2/5, 0, 1
Suppose 0 = -5*h - 3*m + 35, -h = -4*m + 14 + 2. Factor -3*z**3 + z**2 + 5 - 5 - z**5 + 4*z**h - z**4.
-z**2*(z - 1)**3
Factor -8/9 - 2/9*y**4 - 26/9*y**2 + 4/3*y**3 + 8/3*y.
-2*(y - 2)**2*(y - 1)**2/9
Let a(q) be the first derivative of -1/4*q**2 - 1/3*q**3 + 3 + 1/8*q**4 + 1/5*q**5 + 0*q. Factor a(k).
k*(k - 1)*(k + 1)*(2*k + 1)/2
Let g be (-13)/2 + 4/8. Let h be (-8)/(-10)*(-3)/g. Factor 0*y + 0*y**2 + 0 - h*y**3.
-2*y**3/5
Let g = 9 - 9. Let t be g/(-2) - (-8 - -6). Factor -2/3 - 1/6*q**t + 2/3*q.
-(q - 2)**2/6
Let h(a) be the first derivative of a**4/6 - 4*a**3/3 - 7*a**2/3 + 37. Factor h(w).
2*w*(w - 7)*(w + 1)/3
Let 1/3*q**3 + 16/3*q + 4 + 7/3*q**2 = 0. What is q?
-3, -2
Let s = -3 - -9. Suppose o - s = -l, 5*o + 5 = 3*l - l. Solve -3*c + 4*c**4 + c - 5*c**2 + c**2 + 2*c**l = 0.
-1, 0, 1
Let g be 5 - 8 - -1*2. Let z = g + 5/3. Factor -2/3*p**2 - 4/3*p - z.
-2*(p + 1)**2/3
Let 2/5 - 4/5*y**3 - 2/5*y**4 + 4/5*y + 0*y**2 = 0. What is y?
-1, 1
Let h(d) = 3*d + 32. Let r be h(-10). Let -1/3*n**r + 0 + 2/3*n = 0. Calculate n.
0, 2
Let h(t) be the second derivative of -t**5 + 10*t**4/3 - 25*t**3/6 + 5*t**2/2 - 11*t. Factor h(x).
-5*(x - 1)*(2*x - 1)**2
Suppose -4*m + o - 6*o - 10 = 0, -8 = -5*m + 4*o. Let g(v) be the second derivative of 0*v**3 + m - 3*v + 1/36*v**4 + 0*v**2. Let g(k) = 0. What is k?
0
Let t(d) = -d**3 + 2*d**2 + 12*d + 18. Let y be t(5). Solve 1/4*f**5 + 0 + 1/4*f**4 - 1/4*f**y + 0*f - 1/4*f**2 = 0.
-1, 0, 1
Let o(u) be the third derivative of -1/8*u**4 - 1/10*u**5 + 0 + 0*u + 0*u**3 + 3*u**2. Solve o(y) = 0 for y.
-1/2, 0
Solve 1/3*t**3 - t + 0 - 2/3*t**2 = 0.
-1, 0, 3
Let t(f) be the second derivative of f**4/102 - 4*f**3/17 + 11*f. Factor t(a).
2*a*(a - 12)/17
Let b(d) = -d**3 + 6*d**2 - 4*d - 1. Suppose l - 4*l + 4 = -f, 0 = 3*f + 2*l - 21. Let h be b(f). Factor 2*t**3 + 2*t - 2*t - t**3 - t**h - t + t**2.
-t*(t - 1)**2*(t + 1)
Suppose -11*o = -5*o. Suppose -2*i = -3*n - 0*n - 1, o = -4*i + 2*n + 6. Suppose -2/9*b**i + 2/9 + 0*b = 0. What is b?
-1, 1
Factor 4/3*z**3 + 20/3*z**2 - 12 + 4*z.
4*(z - 1)*(z + 3)**2/3
Let u be -9*((-45)/6)/5. Let o = u - 13. What is r in -o*r - 17/2*r**3 + 0 - 17/2*r**4 - 3*r**5 - 7/2*r**2 = 0?
-1, -1/2, -1/3, 0
Let h(t) be the second derivative of -t**7/105 + t**6/30 - t**4/6 + t**3/3 - 3*t**2/2 + 2*t. Let o(p) be the first derivative of h(p). Factor o(g).
-2*(g - 1)**3*(g + 1)
Suppose -36*y + 26 + 46 = 0. Find g such that 0*g - 2/7*g**5 + 10/7*g**4 - 16/7*g**3 + 8/7*g**y + 0 = 0.
0, 1, 2
Let g be ((-39)/5)/(-3) - 2. Let x(t) be the first derivative of 1/6*t**6 + t - 3/2*t**2 - g*t**5 + 1/2*t**4 - 3 + 2/3*t**3. Find l such that x(l) = 0.
-1, 1
Factor 6*n**3 + 0 + 3*n**4 + 3 + 9 - 9*n**2 - 12*n.
3*(n - 1)**2*(n + 2)**2
Let s(b) be the first derivative of 2*b**5/55 - 2*b**3/11 + 2*b**2/11 + 8. Let s(f) = 0. Calculate f.
-2, 0, 1
Let -2/9 - 2/3*t + 2/3*t**3 + 2/9*t**2 = 0. Calculate t.
-1, -1/3, 1
Let j be ((-2)/6)/((-4)/8). Let h be (-2)/(-4)*(-2)/(-3). Determine v, given that 0 + h*v**2 - j*v = 0.
0, 2
Let x(s) = 2*s - 5. Let i(a) = a - 3. Let t(l) = 7*i(l) - 3*x(l). Let r be t(9). Let 0*b - b + 2*b**4 - 3*b**4 + r*b**3 + 2*b - 3*b**2 = 0. What is b?
0, 1
Let f be 2/(-3) + 602/24. Let a = 103/4 - f. Find x, given that 0*x + 0 - 2/3*x**2 - 2/3*x**4 - a*x**3 = 0.
-1, 0
Suppose 0 = 4*z - 4*z - 2*z. Determine h, given that 1/2*h**2 + 1/2*h + z - 1/2*h**4 - 1/2*h**3 = 0.
-1, 0, 1
Let v(f) be the third derivative of -f**9/45360 + f**7/7560 + f**4/8 - 2*f**2. Let q(r) be the second derivative of v(r). Let q(t) = 0. Calculate t.
-1, 0, 1
Suppose -5*x**3 + 2*x**3 - 3*x**4 + 3*x**2 - 3*x + 6*x**3 = 0. Calculate x.
-1, 0, 1
Factor -4/5*d + 2/5*d**2 + 2/5*d**3 + 0.
2*d*(d - 1)*(d + 2)/5
Let z(v) be the third derivative of v**8/50400 - v**5/30 - v**2. Let o(d) be the third derivative of z(d). Suppose o(g) = 0. Calculate g.
0
Factor 4*k**2 - 2*k + 18*k**4 - 16*k**4 - 6*k**3 + 2*k.
2*k**2*(k - 2)*(k - 1)
Suppose -u + 3 = -0. Suppose 6*g = u*g + 30. What is z in 8*z**2 - 2*z + 0*z - g*z**2 = 0?
-1, 0
Let k(d) be the second derivative of 1/2*d**2 + 0*d**3 - 1/12*d**4 - 3*d + 0. Determine m, given that k(m) = 0.
-1, 1
Factor y**5 + 3*y**4 + 0*y**5 - y**2 + 2*y + 5*y**4 - 3*y**3 - 7*y**4.
y*(y - 1)**2*(y + 1)*(y + 2)
Suppose 3*o - 30 + 10 = -2*u, 16 = 5*o - u. Factor 1/3*r**o + 0*r + 0 + 0*r**3 - 1/3*r**2.
r**2*(r - 1)*(r + 1)/3
Let h(x) be the second derivative of -x**9/6480 - x**8/2240 + x**7/630 + x**6/540 - x**4/4 + 9*x. Let l(v) be the third derivative of h(v). Factor l(j).
-j*(j - 1)*(j + 2)*(7*j + 2)/3
Suppose 5*x**2 + 6*x**2 - 6*x**2 = 0. What is x?
0
Solve -8*j**3 - 26*j**3 - 14*j**2 + 20*j + 36*j**3 = 0 for j.
0, 2, 5
Let i(u) be the third derivative of u**8/588 + u**7/70 + 11*u**6/280 + 19*u**5/420 + u**4/56 + 5*u**2. Find w, given that i(w) = 0.
-3, -1, -1/4, 0
Let d = 12 + -11. Let l be (d + -1)/(1 - 0). Factor l*m + 0 + 2/3*m**3 + 2/3*m**2.
2*m**2*(m + 1)/3
Solve 0 + 3/4*d**4 + 3/4*d**3 - 3/4*d - 3/4*d**2 = 0 for d.
-1, 0, 1
Let h(x) be the first derivative of 0*x - 1/3*x**3 + 4 - 1/4*x**2 - 1/8*x**4. Find v such that h(v) = 0.
-1, 0
Suppose 28 = 4*u + 8. Solve 17*h**4 + 