. What is g in 0 + 0*g - l*g**2 - 1/4*g**3 = 0?
-1, 0
Let t(k) be the third derivative of 1/8*k**6 + 0 - 7/12*k**5 + 5/2*k**3 - 35/24*k**4 + 0*k - 9*k**2. Factor t(a).
5*(a - 3)*(a + 1)*(3*a - 1)
Let n(l) be the second derivative of -l**8/11760 - l**7/980 - l**6/210 - l**5/105 + 11*l**3/6 + 18*l. Let w(v) be the second derivative of n(v). Factor w(b).
-b*(b + 2)**3/7
Let k be 731/(-1020) + (-6)/(-8). Let p(h) be the second derivative of 0*h**5 + 0*h**3 + 0*h**2 - k*h**6 - 2*h + 0*h**4 + 0. Let p(j) = 0. Calculate j.
0
Let w(s) = s**3 + 8*s**2 + 123*s + 984. Let p be w(-8). Solve p*l**3 - 1/6*l**4 + 1/3*l**2 + 0*l - 1/6 = 0 for l.
-1, 1
Let l(i) = -i**2 + 17*i - 66. Let s be l(10). Let m(j) be the first derivative of 5*j**2 + 8/3*j**3 + 8 + s*j + 1/2*j**4. Solve m(p) = 0.
-2, -1
Factor 8/7*v**2 + 2/7 - v - 3/7*v**3.
-(v - 1)**2*(3*v - 2)/7
Let c = 1 + -9. Let j be ((-6)/c)/(5/20). Factor -j*p - 7 - 3*p**2 - 2 + 12*p**2 + 3*p**2.
3*(p - 1)*(4*p + 3)
Let a(o) = -o**2 + 40*o - 175. Let z be a(35). Let i = -9/11 - -23/11. Let i*g**3 - 4/11*g + 10/11*g**2 + z = 0. Calculate g.
-1, 0, 2/7
Let m(d) = -7*d**4 - 4*d**3 + 5*d**2 + 3*d. Let b(s) = -40*s**4 - 23*s**3 + 29*s**2 + 17*s. Let c(t) = -6*b(t) + 34*m(t). Factor c(o).
2*o**2*(o - 1)*(o + 2)
Let b(t) = -t**2 + 25*t - 50. Let c be b(23). Let j be 1/(-5)*c/2. Solve -2/5*s + 0 - j*s**3 - 4/5*s**2 = 0 for s.
-1, 0
Let o(a) = -2*a**2 - 5*a - 7. Let n(r) = 3*r**2 + 8*r + 11. Let i(m) = 5*n(m) + 8*o(m). Let l(j) = -20*j**2 + 5*j - 5. Let d(c) = -15*i(c) + l(c). Factor d(q).
-5*(q - 2)*(q + 1)
Let f(r) be the second derivative of -r**7/105 - r**6/90 + r**5/15 + r**4/6 + r**3/3 - 12*r. Let s(l) be the second derivative of f(l). Solve s(x) = 0 for x.
-1, -1/2, 1
Let t(x) = x**2 - 5. Let w be t(3). Let a(s) be the second derivative of 2*s + 8*s**2 - 4/3*s**3 + 1/12*s**w + 0. Factor a(j).
(j - 4)**2
Suppose -3*p - 3*c = -3, -3*c - c - 12 = -4*p. Factor 76*z + 82 - z**p - 35 - 27*z**2 - 23.
-4*(z - 3)*(7*z + 2)
Let u(q) be the second derivative of q**4/16 + 121*q**3/2 + 43923*q**2/2 - 374*q - 2. Let u(m) = 0. Calculate m.
-242
Let n(f) be the second derivative of 0 - 38*f + 12/5*f**3 - 216/5*f**2 - 1/20*f**4. Solve n(z) = 0.
12
Let l(t) be the third derivative of 0*t + 4/25*t**5 + 0 - 1/15*t**3 + 2*t**2 + 1/30*t**4. Find p, given that l(p) = 0.
-1/4, 1/6
Suppose -2*f - 67 - 3 = 0. Let r = f - -35. Let 2*w**4 - 1/2*w**5 + r - 5/2*w**3 + w**2 + 0*w = 0. Calculate w.
0, 1, 2
Let s = -334063/159 + 1185/53. Let b = s - -2100. Solve 4/3*j**2 - 32/3*j + b = 0 for j.
4
Let x be -1 + 2 - ((-95)/45 + 3). Let f(p) be the third derivative of 1/9*p**3 + 0*p + x*p**4 + 0 + 1/30*p**5 - 2*p**2. Suppose f(z) = 0. What is z?
-1, -1/3
Let i(d) = 12*d**3 - 24*d**2 + 4*d. Let c(x) = 23*x**3 - 49*x**2 + 8*x. Let o be (-2)/4*(-6 + 78)/(-4). Let y(l) = o*i(l) - 4*c(l). What is u in y(u) = 0?
0, 1/4, 1
Let s(x) = -3*x**4 + 24*x**3 - 21*x**2 - 3. Let b(f) = 6*f**4 - 48*f**3 + 42*f**2 + 7. Let v(w) = 3*b(w) + 7*s(w). Solve v(n) = 0 for n.
0, 1, 7
Let i(p) be the third derivative of p**6/600 - 7*p**4/120 + p**3/5 + 5*p**2 - 55*p. Factor i(d).
(d - 2)*(d - 1)*(d + 3)/5
Let z(k) be the third derivative of -k**7/105 - 19*k**6/60 + k**5/30 + 19*k**4/12 - 2*k**2 + 79*k. Factor z(h).
-2*h*(h - 1)*(h + 1)*(h + 19)
Let u = -111/2 - -52. Let c = u + 67/18. Factor 8/9 + c*g**2 - 8/9*g.
2*(g - 2)**2/9
What is i in 13/7*i**2 - 31/7*i - 45/7 - 1/7*i**3 = 0?
-1, 5, 9
Let t be -3 + 28/16 - (-561)/440. Let m(p) be the third derivative of 0*p**3 - 10*p**2 - 1/8*p**4 + 1/70*p**7 + 0*p + t*p**6 + 0 - 1/20*p**5. Factor m(d).
3*d*(d - 1)*(d + 1)**2
Factor 2/9*g**2 + 28/9 - 2*g.
2*(g - 7)*(g - 2)/9
Let b(z) be the second derivative of z**9/15120 - z**7/2100 + z**5/600 - 17*z**3/6 - 40*z. Let d(m) be the second derivative of b(m). Factor d(x).
x*(x - 1)**2*(x + 1)**2/5
Let z be (-4)/(-10) - (-3)/10*(-752)/(-141). Let -16/21*u + 2/21*u**z + 2/3 = 0. Calculate u.
1, 7
Suppose 5*a - 4*g - 11 = 0, g + 2 = 9*a - 8*a. Suppose 0 + 3/2*v**2 - 3/2*v**a + 0*v = 0. What is v?
0, 1
Let y(m) be the third derivative of -m**7/840 + m**6/360 + m**5/60 - 7*m**3/2 - 5*m**2. Let g(u) be the first derivative of y(u). Find p, given that g(p) = 0.
-1, 0, 2
Suppose 19 = -5*r + 4*r. Let i be r/(-2) - (-6)/(-4). Suppose q**3 + 0*q + 2*q**3 + 4*q - i*q**2 = 0. Calculate q.
0, 2/3, 2
Let g(p) be the first derivative of p**4 - 20*p**3 + 24. Factor g(m).
4*m**2*(m - 15)
Solve -3*z**2 - 12*z**5 - 4 - 44*z**4 + 62*z**2 - 3*z**2 + 44*z**3 - 52*z**3 + 20*z - 8 = 0 for z.
-3, -1, 1/3, 1
Suppose -22*g + 9*g + 26 = 0. What is s in -2/3*s + 1/3*s**g + 0 = 0?
0, 2
Let s(i) = -i**2 - i + 1. Let p(q) = -q**2 + 44*q - 79. Let r(d) = -p(d) - 4*s(d). Solve r(t) = 0 for t.
3, 5
Let k = 80/7 + -386/35. Factor 0 + k*l**2 + 4/5*l.
2*l*(l + 2)/5
Factor 0*d**5 - 12*d + 3*d**3 + 3*d**5 - 17 + 41 + 12*d**4 - 30*d**2.
3*(d - 1)**2*(d + 2)**3
Let q(k) be the third derivative of -k**5/210 + k**4/84 - 2*k**2 + 4*k. Factor q(v).
-2*v*(v - 1)/7
Let l(z) be the second derivative of -z**6/40 - 3*z**5/10 + 9*z**4/16 - 4*z. Determine p so that l(p) = 0.
-9, 0, 1
Let k(w) = -8*w**3 + 4*w**2 - 4*w + 8. Let h(r) = r**3 + r - 2. Let c(p) = 6*h(p) + k(p). Factor c(l).
-2*(l - 2)*(l - 1)*(l + 1)
Determine g, given that -26 + 14*g**3 - 15*g - 31*g**3 + g**4 + 17*g**2 + 8*g**2 + 32*g**3 = 0.
-13, -2, -1, 1
Let r(u) be the third derivative of 0*u - 21*u**2 + 1/24*u**4 - 1/3*u**3 + 7/480*u**5 + 0 + 1/960*u**6. Factor r(b).
(b - 1)*(b + 4)**2/8
Suppose 5*m + 16 = 2*z - 6*z, -m + z = 5. Let l be 9/(-5) + (-6 - m - -4). Factor -l*f**4 - 4/5*f - 1/5 - 6/5*f**2 - 4/5*f**3.
-(f + 1)**4/5
Let o = 3067/7 - 427. Let m be -2 + 5 - (-51)/7. Factor -m*y**4 - 8/7*y - 8/7*y**2 + 0 + o*y**3.
-2*y*(3*y - 2)**2*(4*y + 1)/7
Let s be -5 + (-3195)/(-10) + -1*4. Let q = s - 308. Factor -5/2 - 15/4*j + q*j**2.
5*(j - 2)*(2*j + 1)/4
Let x(k) be the third derivative of -49/780*k**6 + 0 - 8/39*k**3 - k**2 - 21/65*k**5 + 0*k - 5/13*k**4. Let x(o) = 0. Calculate o.
-2, -2/7
Let v(c) = -9*c**4 - 23*c**3 + 26*c**2 - 13*c + 8. Let y(h) = -5*h**4 - 12*h**3 + 13*h**2 - 6*h + 4. Let s(a) = 6*v(a) - 11*y(a). Find t such that s(t) = 0.
1, 2
Let -476656/3 - 7688*w - 124*w**2 - 2/3*w**3 = 0. What is w?
-62
Suppose 25*o + 7 = 18*o. Let r be o*((-46)/14 + 14/49). Factor 8/3 + 32/3*p**2 + 28/3*p + 4*p**r.
4*(p + 1)**2*(3*p + 2)/3
Let f(o) be the first derivative of -o**3/21 - 3*o**2/7 - 8*o/7 + 284. Factor f(u).
-(u + 2)*(u + 4)/7
Suppose 2879*c = 2880*c. Factor 1/4*a**4 + 1/2*a + 5/4*a**2 + c + a**3.
a*(a + 1)**2*(a + 2)/4
Solve 0 - 88/13*a**3 + 24/13*a**2 + 0*a + 10/13*a**4 + 14/13*a**5 = 0 for a.
-3, 0, 2/7, 2
Let c(b) be the second derivative of 5/3*b**3 + 15*b + 0 + 0*b**2 - 5/12*b**4. Factor c(k).
-5*k*(k - 2)
Let l(o) = 2*o - 5. Let r(i) = 5*i - 10. Let b(j) = -7*l(j) + 3*r(j). Let u be b(-3). Factor -2*d + 0*d**2 - 4*d**u + 15*d - 8 - d.
-4*(d - 2)*(d - 1)
Let f(r) = -r**4 + r**3 + r**2 + r + 1. Let z(l) = 3*l**4 - 13*l**3 - 9*l**2 + 3*l + 1. Let s(n) = 5*f(n) + z(n). Factor s(t).
-2*(t - 1)*(t + 1)**2*(t + 3)
Find n such that 171*n + 114*n**3 - 54 + 3*n**5 - 200*n**2 - 2*n**2 - 30*n**4 - 2*n**2 = 0.
1, 2, 3
Let b(t) = 6*t**2 - 75*t - 331. Let z be b(16). Suppose 394/3*c**2 + 40/3 - 98/3*c**z - 272/3*c - 434/3*c**4 + 370/3*c**3 = 0. What is c?
-5, -1, 2/7, 1
Let x(m) be the first derivative of m**5/5 - m**4/2 - m**3 - 499. Factor x(u).
u**2*(u - 3)*(u + 1)
Suppose 4*b = 5*o - 2 - 8, -2*o - 2*b = -22. Let n(x) be the second derivative of 0*x**2 + 0 - 1/3*x**3 - 1/18*x**4 + o*x. Factor n(u).
-2*u*(u + 3)/3
Let n = 15 - 12. Suppose 22 = 3*q + 5*c - 1, -5*c = -n*q - 17. Solve 6*w**3 - 8*w**4 - 3*w**5 - 2 - 3*w - q + 5*w**4 + 6*w**2 = 0 for w.
-1, 1
Let n(u) be the first derivative of -3*u**5/32 + u**4/16 + 5*u**3/16 - 3*u**2/8 - 5*u + 6. Let s(y) be the first derivative of n(y). Factor s(h).
-3*(h - 1)*(h + 1)*(5*h - 2)/8
Let n be 7 + (-2)/(-2 - 50/(-20)). Determine x, given that 9/2*x**n + 0*x**4 - 3/4*x**5 + 6*x**2 + 9/4*x + 0 = 0.
-1, 0, 3
Let f = 1124/5 - 224. Let p = -16629 - -83151/5. Solve 0 + 16/5*x**3 + p*x**2 - f*x + 6/5*x**4 = 0 for x.
-2, -1, 0, 1/3
What is w in 632*w**4 + 640*w**4 - 1269*w**4 - 3*w**5 = 0?
0, 1
Let k(x) be the first derivative of -