4*j**3 = 0. Calculate j.
-2/3, 0, 1
Let v(l) be the third derivative of -l**6/320 - l**5/80 + l**4/64 + l**3/8 - 4*l**2. Factor v(f).
-3*(f - 1)*(f + 1)*(f + 2)/8
Let x(i) be the third derivative of 0*i**3 + 1/80*i**5 + 0*i + 1/160*i**6 + 0 + 0*i**4 - 1/448*i**8 - 1/280*i**7 - 2*i**2. Solve x(u) = 0 for u.
-1, 0, 1
Let n be (-6)/(2 - (18 - 8)). Suppose -n*z**2 + 9/4*z**3 + 3/4 - 9/4*z = 0. What is z?
-1, 1/3, 1
Let l(f) be the third derivative of 3*f**2 - 1/7*f**3 - 1/420*f**6 + 0 + 0*f - 1/42*f**5 - 1/12*f**4. Suppose l(c) = 0. Calculate c.
-3, -1
Solve -2*i**2 + 2*i**2 + i**2 - 3*i**2 + 2*i = 0 for i.
0, 1
Let r = 590 + -588. Factor 2*t**r + 8/5 - 16/5*t - 2/5*t**3.
-2*(t - 2)**2*(t - 1)/5
Let a(n) be the third derivative of n**9/7056 - n**8/3920 + 2*n**3/3 - 4*n**2. Let z(w) be the first derivative of a(w). Factor z(v).
3*v**4*(v - 1)/7
Let c(t) be the first derivative of t**4/6 - t**2 + 4*t/3 - 2. Factor c(k).
2*(k - 1)**2*(k + 2)/3
Suppose 4*q = p - 3, 5*p - 5 = 4*q + 10. Let r(z) be the second derivative of -1/60*z**6 + 3/40*z**5 - 1/8*z**4 - z + q*z**2 + 0 + 1/12*z**3. Factor r(b).
-b*(b - 1)**3/2
Let j(f) be the first derivative of -f**4/2 + f**2 + 2. Solve j(i) = 0 for i.
-1, 0, 1
Let v(h) = h**5 - h**4 + h**3 - h**2 - 1. Let c(x) = -6*x**5 + 8*x**4 - 6*x**3 + 4*x**2 + 4. Let t(j) = c(j) + 4*v(j). Determine a, given that t(a) = 0.
0, 1
Let j(g) = 5*g**4 + 17*g**3 + 28*g**2 + 7*g + 3. Let k(n) = -10*n**4 - 35*n**3 - 55*n**2 - 15*n - 5. Let s(u) = 5*j(u) + 3*k(u). Factor s(y).
-5*y*(y + 1)**2*(y + 2)
Let d(f) be the third derivative of 0*f - 3/14*f**7 + 7/8*f**4 - 19/40*f**6 - f**3 - 5*f**2 + 0 + 1/4*f**5. Determine j, given that d(j) = 0.
-1, 1/3, 2/5
Suppose -g - 10 = -5, 575 = -5*f - 3*g. Let k = f + 562/5. Find p such that k*p**2 + 2/5 + 4/5*p = 0.
-1
Suppose -15 = -5*b + h, -10 = -2*b - 4*h - 4. Let y = -1/3 + b. Factor 8/3*q - 2/3*q**2 - y.
-2*(q - 2)**2/3
Let y(i) = -8*i**3 - 4*i**2 + 8*i - 4. Let a(v) = 7*v**3 + 3*v**2 - 9*v + 5. Let t(h) = 4*a(h) + 3*y(h). Let t(r) = 0. Calculate r.
-2, 1
Let d(i) = 4*i**5 + 16*i**4 - 4*i**3 - 4*i**2. Let v(b) = b**4 + b**3 + b**2. Let u(p) = -d(p) + 12*v(p). Find j, given that u(j) = 0.
-2, -1, 0, 2
Solve -6/11 + 6/11*j**2 + 2/11*j - 2/11*j**3 = 0 for j.
-1, 1, 3
Let j(i) be the first derivative of -5 + 0*i + 1/9*i**2 + 8/27*i**3. Solve j(o) = 0 for o.
-1/4, 0
Suppose i - 2 + 0 = 0. Let 15*v**4 + v**3 + 4*v**i - 4*v**5 - 3*v**4 - 13*v**3 = 0. Calculate v.
0, 1
Let q(t) be the second derivative of t**7/252 + t**6/36 + t**5/40 - 5*t**4/72 - t**3/9 + 5*t. Factor q(o).
o*(o - 1)*(o + 1)**2*(o + 4)/6
Let m = 11 + -7. Let c = 8 - m. Solve -38*u**2 + 36*u**5 + 4*u + 120*u**3 + 20*u**5 - 55*u**c - 87*u**4 = 0.
0, 1/4, 2/7, 1
Let o = 27 - 14. Let -o - 5*d**4 - d**3 + 13 + 4*d**4 = 0. Calculate d.
-1, 0
Suppose 0 = g + 10 - 14. Solve -1/2*j**g - 2*j**3 - j + 0 - 5/2*j**2 = 0 for j.
-2, -1, 0
Let q(j) = 4*j**2 - j. Let k be q(1). Factor z**3 + 2*z**3 - z**k - z**3.
z**3
Let g(j) be the first derivative of -j**3/12 - j**2 - 4*j + 16. Factor g(m).
-(m + 4)**2/4
Let v(i) = -i**2 - 6*i. Let y be v(-4). Let r = y + -6. Find o such that 1 - o**r - 1 = 0.
0
Let w = -58 - -526/9. Suppose -2/3*p - w - 2/9*p**2 = 0. What is p?
-2, -1
Let c(v) be the second derivative of 5*v**4/24 + 25*v**3/12 + 5*v**2 - 33*v. Let c(t) = 0. Calculate t.
-4, -1
Let p(g) be the first derivative of -g**6/6 - 2*g**5/5 + g**4/2 + 4*g**3/3 - g**2/2 - 2*g + 7. Determine z so that p(z) = 0.
-2, -1, 1
Suppose 4*y = -5*r + 12 + 1, -4*y + 2*r = -6. Find s, given that 1/4*s**y + 1/2 + 3/4*s = 0.
-2, -1
Let c(s) = s**3 + 4*s**2 - 3*s - 6. Let g be c(-4). Suppose g = 2*a - 0. Solve -2*h**2 + h**4 + 6*h**3 - 6*h**a + 1 = 0.
-1, 1
Let h be 27/126*(-4)/111. Let s = h - -1046/1295. Factor 0*f + 2/5*f**3 - s*f**2 + 0.
2*f**2*(f - 2)/5
Factor -6/5*h**2 - 2/5*h**3 - 6/5*h - 2/5.
-2*(h + 1)**3/5
Let l be ((-1 - 1) + 1)*0. Let d(r) be the third derivative of 0*r**3 + 1/270*r**6 + l*r - 1/945*r**7 - 1/270*r**5 - r**2 + 0*r**4 + 0. Factor d(z).
-2*z**2*(z - 1)**2/9
Let l be 5/3 - 1/(-3). Let q(d) be the first derivative of -1/15*d**5 + 0*d + 1/6*d**4 + 0*d**l + 2 - 1/9*d**3. Factor q(n).
-n**2*(n - 1)**2/3
Let g = 909/130 - -21/26. Suppose 33/5*z + g*z**3 + 57/5*z**2 + 9/5*z**4 + 6/5 = 0. Calculate z.
-2, -1, -1/3
Let g(x) be the first derivative of -x**6/2700 - x**5/900 + x**4/90 + 2*x**3/3 - 3. Let n(i) be the third derivative of g(i). Factor n(d).
-2*(d - 1)*(d + 2)/15
Let z(g) = g**3 + g + 1. Let f be 2*(2 + -3) + 3. Let o(l) = 3*l**3 + 7*l + 5. Let c(t) = f*o(t) - 5*z(t). Find p, given that c(p) = 0.
-1, 0, 1
Let l = 25 + -25. Let b(y) be the second derivative of 2*y + 0*y**2 + 1/36*y**4 + l + 1/18*y**3. Determine k so that b(k) = 0.
-1, 0
Suppose -5 = -3*i + 4. Factor -i*r**2 + 4*r**2 + 5*r - r**3 - 5*r.
-r**2*(r - 1)
Suppose -6 = -4*b - 2*h, 2*h + 3 = -2*b - h. Determine z, given that -2*z**3 - b*z**2 + 0*z**3 + 0*z**3 + 5*z**2 = 0.
0, 1
Let t(o) be the first derivative of -o**5/270 + o**4/27 - 4*o**3/27 - 5*o**2/2 - 3. Let d(a) be the second derivative of t(a). Suppose d(v) = 0. Calculate v.
2
Let l = 5 + 9. Let h(f) = -f**3 - f**2. Let v(z) = 4*z**4 + 16*z**3 + 13*z**2 + z. Let j(o) = l*h(o) + 2*v(o). Determine g so that j(g) = 0.
-1, -1/4, 0
Find c such that 11*c**2 - 4*c**5 + 6*c**3 - 15*c**2 - c**5 + 3*c**5 = 0.
-2, 0, 1
Let h(b) = -3*b**5 + 11*b**4 + 11*b**3 + 2*b**2 + 5*b. Let v(w) = 4*w**5 - 12*w**4 - 12*w**3 - 2*w**2 - 6*w. Let a(z) = -6*h(z) - 5*v(z). Factor a(u).
-2*u**2*(u + 1)**3
Suppose 10/9*n**2 + 8/9*n**3 + 0 + 2/9*n = 0. What is n?
-1, -1/4, 0
Suppose 23 = 5*h + 3. Suppose -4*m + 2*i = 5 - 17, 2*i - h = -4*m. Factor 2 - 2*s**3 - m - 2*s**4.
-2*s**3*(s + 1)
Let p(a) = -a**2. Let z(i) = 5*i**2 + 3*i - 2. Suppose -2*c + 7*c - 15 = 0. Let x(k) = c*p(k) + z(k). Factor x(d).
(d + 2)*(2*d - 1)
Suppose 20*t - 16*t - 8 = 0. Suppose 1/3 + 1/3*o**t - 2/3*o = 0. What is o?
1
Let m(a) be the third derivative of -a**6/30 + a**4/2 - 4*a**3/3 + 2*a**2. What is z in m(z) = 0?
-2, 1
Let j(x) be the second derivative of -x**5/10 - 5*x**4/6 - 4*x**3/3 + 27*x - 2. Find y such that j(y) = 0.
-4, -1, 0
Let g be 12/7 - 36/(-126). Solve -25 - 24*b - b**3 - b**3 - 12*b**g + 9 = 0.
-2
Suppose -x - x + 6 = -5*o, 5*o = 3*x - 9. Let g be ((-52)/(-130))/(38/(-20) + 2). Suppose 0*t - 4/9*t**x + 2/9*t**2 + 2/9*t**g + 0 = 0. Calculate t.
0, 1
Let c(p) = -p + 1. Let a be c(-5). Solve -3*x**2 + 7*x**2 - 8*x - 2*x**2 + a = 0 for x.
1, 3
Let s be 7/((-28)/12) + 3. Let c(m) be the first derivative of 0*m**2 - 1/6*m**3 + s*m - 2. Factor c(r).
-r**2/2
Let s(v) be the third derivative of -v**6/1980 + v**5/660 - v**3 + v**2. Let i(h) be the first derivative of s(h). Factor i(y).
-2*y*(y - 1)/11
Let i(f) = -f + 6. Let n be i(4). Let l(z) = z**2 + 3*z + 4. Let b be l(-3). Factor 4 + x**b + x + n*x**3 - 4 - x**2 - 3*x**3.
x*(x - 1)**2*(x + 1)
Let u(v) = 6*v**3 + 3*v**2 - 3*v - 3. Let j(b) = -b**3. Let r(x) = -3*j(x) - u(x). Factor r(p).
-3*(p - 1)*(p + 1)**2
Let u(g) be the first derivative of g**5/10 + g**4/8 - g**3/2 - g**2/4 + g + 16. Factor u(c).
(c - 1)**2*(c + 1)*(c + 2)/2
Let d be ((-4)/(-6))/(1 + 14/(-18)). Factor b**d + 1/4*b + 0 - 5/4*b**2.
b*(b - 1)*(4*b - 1)/4
Let t = -381 + 381. Factor -2/11 + t*q**2 + 4/11*q**3 + 2/11*q**4 - 4/11*q.
2*(q - 1)*(q + 1)**3/11
Factor 2*h - 6*h - 6 + 3*h**2 + h.
3*(h - 2)*(h + 1)
Let c = 2 + 0. Suppose 0 = -3*t - 5 - 7, 0 = 5*f - t - 4. What is x in -1/4*x**3 + 0 - 1/4*x**c + f*x = 0?
-1, 0
Let a be ((1 + -1)/(-1))/(-1). Let s(m) be the second derivative of 0 + a*m**3 + 0*m**2 - 1/48*m**4 - m. Factor s(o).
-o**2/4
Let h(w) be the third derivative of 1/15*w**5 + 1/60*w**6 - 3*w**2 - 2/3*w**3 + 0 - 1/12*w**4 + 0*w. What is z in h(z) = 0?
-2, -1, 1
Let x(a) be the first derivative of -2*a**3/3 + 2*a + 25. Suppose x(r) = 0. What is r?
-1, 1
Let w be 48/(-20)*(-10)/(-3). Let j be -1 - w/(-1 - -2). Determine f so that -15*f**3 + 3*f**4 - 11*f**4 + 2*f + j*f**3 + 6*f**5 - 4 + 12*f**2 = 0.
-1, -2/3, 1
Let m(l) = -l. Let v be m(-2). Solve -5*p**3 - 3 + 3 + 12*p**v - 24*p + 3*p**3 + 16 = 0.
2
Suppose -6*k + 20 = -2*k. Solve 8*o + 0*o**3 - 3*o**3 - k*o = 0 for o.
-1, 0, 1
Let z = -12495 - -937156/75. Let v = z - 2/25. What is m in -v*m**3 + 